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Edit File : type_traits \| Size : 83.86 KB
// C++11 <type_traits> -- C++ -- // Copyright (C) 2007-2018 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/>. /** @file include/type_traits * This is a Standard C++ Library header. / #ifndef _GLIBCXX_TYPE_TRAITS #define _GLIBCXX_TYPE_TRAITS 1 #pragma GCC system_header #if __cplusplus < 201103L # include <bits/c++0x_warning.h> #else #include <bits/c++config.h> namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION /* * @defgroup metaprogramming Metaprogramming * @ingroup utilities * * Template utilities for compile-time introspection and modification, * including type classification traits, type property inspection traits * and type transformation traits. * * @{ / /// integral_constant template<typename _Tp, _Tp __v> struct integral_constant { static constexpr _Tp value = __v; typedef _Tp value_type; typedef integral_constant<_Tp, __v> type; constexpr operator value_type() const noexcept { return value; } #if __cplusplus > 201103L #define __cpp_lib_integral_constant_callable 201304 constexpr value_type operator()() const noexcept { return value; } #endif }; template<typename _Tp, _Tp __v> constexpr _Tp integral_constant<_Tp, __v>::value; /// The type used as a compile-time boolean with true value. typedef integral_constant<bool, true> true_type; /// The type used as a compile-time boolean with false value. typedef integral_constant<bool, false> false_type; template<bool __v> using __bool_constant = integral_constant<bool, __v>; #if __cplusplus > 201402L # define __cpp_lib_bool_constant 201505 template<bool __v> using bool_constant = integral_constant<bool, __v>; #endif // Meta programming helper types. template<bool, typename, typename> struct conditional; template<typename...> struct __or_; template<> struct __or_<> : public false_type { }; template<typename _B1> struct __or_<_B1> : public _B1 { }; template<typename _B1, typename _B2> struct __or_<_B1, _B2> : public conditional<_B1::value, _B1, _B2>::type { }; template<typename _B1, typename _B2, typename _B3, typename... _Bn> struct __or_<_B1, _B2, _B3, _Bn...> : public conditional<_B1::value, _B1, __or_<_B2, _B3, _Bn...>>::type { }; template<typename...> struct __and_; template<> struct __and_<> : public true_type { }; template<typename _B1> struct __and_<_B1> : public _B1 { }; template<typename _B1, typename _B2> struct __and_<_B1, _B2> : public conditional<_B1::value, _B2, _B1>::type { }; template<typename _B1, typename _B2, typename _B3, typename... _Bn> struct __and_<_B1, _B2, _B3, _Bn...> : public conditional<_B1::value, __and_<_B2, _B3, _Bn...>, _B1>::type { }; template<typename _Pp> struct __not_ : public __bool_constant<!bool(_Pp::value)> { }; #if __cplusplus >= 201703L #define __cpp_lib_logical_traits 201510 template<typename... _Bn> struct conjunction : __and_<_Bn...> { }; template<typename... _Bn> struct disjunction : __or_<_Bn...> { }; template<typename _Pp> struct negation : __not_<_Pp> { }; template<typename... _Bn> inline constexpr bool conjunction_v = conjunction<_Bn...>::value; template<typename... _Bn> inline constexpr bool disjunction_v = disjunction<_Bn...>::value; template<typename _Pp> inline constexpr bool negation_v = negation<_Pp>::value; #endif // C++17 // For several sfinae-friendly trait implementations we transport both the // result information (as the member type) and the failure information (no // member type). This is very similar to std::enable_if, but we cannot use // them, because we need to derive from them as an implementation detail. template<typename _Tp> struct __success_type { typedef _Tp type; }; struct __failure_type { }; // Primary type categories. template<typename> struct remove_cv; template<typename> struct __is_void_helper : public false_type { }; template<> struct __is_void_helper<void> : public true_type { }; /// is_void template<typename _Tp> struct is_void : public __is_void_helper<typename remove_cv<_Tp>::type>::type { }; template<typename> struct __is_integral_helper : public false_type { }; template<> struct __is_integral_helper<bool> : public true_type { }; template<> struct __is_integral_helper<char> : public true_type { }; template<> struct __is_integral_helper<signed char> : public true_type { }; template<> struct __is_integral_helper<unsigned char> : public true_type { }; #ifdef _GLIBCXX_USE_WCHAR_T template<> struct __is_integral_helper<wchar_t> : public true_type { }; #endif template<> struct __is_integral_helper<char16_t> : public true_type { }; template<> struct __is_integral_helper<char32_t> : public true_type { }; template<> struct __is_integral_helper<short> : public true_type { }; template<> struct __is_integral_helper<unsigned short> : public true_type { }; template<> struct __is_integral_helper<int> : public true_type { }; template<> struct __is_integral_helper<unsigned int> : public true_type { }; template<> struct __is_integral_helper<long> : public true_type { }; template<> struct __is_integral_helper<unsigned long> : public true_type { }; template<> struct __is_integral_helper<long long> : public true_type { }; template<> struct __is_integral_helper<unsigned long long> : public true_type { }; // Conditionalizing on __STRICT_ANSI__ here will break any port that // uses one of these types for size_t. #if defined(__GLIBCXX_TYPE_INT_N_0) template<> struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_0> : public true_type { }; template<> struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_0> : public true_type { }; #endif #if defined(__GLIBCXX_TYPE_INT_N_1) template<> struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_1> : public true_type { }; template<> struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_1> : public true_type { }; #endif #if defined(__GLIBCXX_TYPE_INT_N_2) template<> struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_2> : public true_type { }; template<> struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_2> : public true_type { }; #endif #if defined(__GLIBCXX_TYPE_INT_N_3) template<> struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_3> : public true_type { }; template<> struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_3> : public true_type { }; #endif /// is_integral template<typename _Tp> struct is_integral : public __is_integral_helper<typename remove_cv<_Tp>::type>::type { }; template<typename> struct __is_floating_point_helper : public false_type { }; template<> struct __is_floating_point_helper<float> : public true_type { }; template<> struct __is_floating_point_helper<double> : public true_type { }; template<> struct __is_floating_point_helper<long double> : public true_type { }; #if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128) template<> struct __is_floating_point_helper<__float128> : public true_type { }; #endif /// is_floating_point template<typename _Tp> struct is_floating_point : public __is_floating_point_helper<typename remove_cv<_Tp>::type>::type { }; /// is_array template<typename> struct is_array : public false_type { }; template<typename _Tp, std::size_t _Size> struct is_array<_Tp[_Size]> : public true_type { }; template<typename _Tp> struct is_array<_Tp[]> : public true_type { }; template<typename> struct __is_pointer_helper : public false_type { }; template<typename _Tp> struct __is_pointer_helper<_Tp> : public true_type { }; /// is_pointer template<typename _Tp> struct is_pointer : public __is_pointer_helper<typename remove_cv<_Tp>::type>::type { }; /// is_lvalue_reference template<typename> struct is_lvalue_reference : public false_type { }; template<typename _Tp> struct is_lvalue_reference<_Tp&> : public true_type { }; /// is_rvalue_reference template<typename> struct is_rvalue_reference : public false_type { }; template<typename _Tp> struct is_rvalue_reference<_Tp&&> : public true_type { }; template<typename> struct is_function; template<typename> struct __is_member_object_pointer_helper : public false_type { }; template<typename _Tp, typename _Cp> struct __is_member_object_pointer_helper<_Tp _Cp::> : public integral_constant<bool, !is_function<_Tp>::value> { }; /// is_member_object_pointer template<typename _Tp> struct is_member_object_pointer : public __is_member_object_pointer_helper< typename remove_cv<_Tp>::type>::type { }; template<typename> struct __is_member_function_pointer_helper : public false_type { }; template<typename _Tp, typename _Cp> struct __is_member_function_pointer_helper<_Tp _Cp::> : public integral_constant<bool, is_function<_Tp>::value> { }; /// is_member_function_pointer template<typename _Tp> struct is_member_function_pointer : public __is_member_function_pointer_helper< typename remove_cv<_Tp>::type>::type { }; /// is_enum template<typename _Tp> struct is_enum : public integral_constant<bool, __is_enum(_Tp)> { }; /// is_union template<typename _Tp> struct is_union : public integral_constant<bool, __is_union(_Tp)> { }; /// is_class template<typename _Tp> struct is_class : public integral_constant<bool, __is_class(_Tp)> { }; /// is_function template<typename> struct is_function : public false_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) const _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) const & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) const && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) const _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) const & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) const && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) volatile _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) volatile & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) volatile && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) volatile _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) volatile & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) volatile && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) const volatile _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) const volatile & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes...) const volatile && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) const volatile _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) const volatile & _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM> struct is_function<_Res(_ArgTypes......) const volatile && _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; #define __cpp_lib_is_null_pointer 201309 template<typename> struct __is_null_pointer_helper : public false_type { }; template<> struct __is_null_pointer_helper<std::nullptr_t> : public true_type { }; /// is_null_pointer (LWG 2247). template<typename _Tp> struct is_null_pointer : public __is_null_pointer_helper<typename remove_cv<_Tp>::type>::type { }; /// __is_nullptr_t (extension). template<typename _Tp> struct __is_nullptr_t : public is_null_pointer<_Tp> { }; // Composite type categories. /// is_reference template<typename _Tp> struct is_reference : public __or_<is_lvalue_reference<_Tp>, is_rvalue_reference<_Tp>>::type { }; /// is_arithmetic template<typename _Tp> struct is_arithmetic : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type { }; /// is_fundamental template<typename _Tp> struct is_fundamental : public __or_<is_arithmetic<_Tp>, is_void<_Tp>, is_null_pointer<_Tp>>::type { }; /// is_object template<typename _Tp> struct is_object : public __not_<__or_<is_function<_Tp>, is_reference<_Tp>, is_void<_Tp>>>::type { }; template<typename> struct is_member_pointer; /// is_scalar template<typename _Tp> struct is_scalar : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>, is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type { }; /// is_compound template<typename _Tp> struct is_compound : public integral_constant<bool, !is_fundamental<_Tp>::value> { }; template<typename _Tp> struct __is_member_pointer_helper : public false_type { }; template<typename _Tp, typename _Cp> struct __is_member_pointer_helper<_Tp _Cp::> : public true_type { }; /// is_member_pointer template<typename _Tp> struct is_member_pointer : public __is_member_pointer_helper<typename remove_cv<_Tp>::type>::type { }; // Utility to detect referenceable types ([defns.referenceable]). template<typename _Tp> struct __is_referenceable : public __or_<is_object<_Tp>, is_reference<_Tp>>::type { }; template<typename _Res, typename... _Args _GLIBCXX_NOEXCEPT_PARM> struct __is_referenceable<_Res(_Args...) _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; template<typename _Res, typename... _Args _GLIBCXX_NOEXCEPT_PARM> struct __is_referenceable<_Res(_Args......) _GLIBCXX_NOEXCEPT_QUAL> : public true_type { }; // Type properties. /// is_const template<typename> struct is_const : public false_type { }; template<typename _Tp> struct is_const<_Tp const> : public true_type { }; /// is_volatile template<typename> struct is_volatile : public false_type { }; template<typename _Tp> struct is_volatile<_Tp volatile> : public true_type { }; /// is_trivial template<typename _Tp> struct is_trivial : public integral_constant<bool, __is_trivial(_Tp)> { }; // is_trivially_copyable template<typename _Tp> struct is_trivially_copyable : public integral_constant<bool, __is_trivially_copyable(_Tp)> { }; /// is_standard_layout template<typename _Tp> struct is_standard_layout : public integral_constant<bool, __is_standard_layout(_Tp)> { }; /// is_pod // Could use is_standard_layout && is_trivial instead of the builtin. template<typename _Tp> struct is_pod : public integral_constant<bool, __is_pod(_Tp)> { }; /// is_literal_type template<typename _Tp> struct is_literal_type : public integral_constant<bool, __is_literal_type(_Tp)> { }; /// is_empty template<typename _Tp> struct is_empty : public integral_constant<bool, __is_empty(_Tp)> { }; /// is_polymorphic template<typename _Tp> struct is_polymorphic : public integral_constant<bool, __is_polymorphic(_Tp)> { }; #if __cplusplus >= 201402L #define __cpp_lib_is_final 201402L /// is_final template<typename _Tp> struct is_final : public integral_constant<bool, __is_final(_Tp)> { }; #endif /// is_abstract template<typename _Tp> struct is_abstract : public integral_constant<bool, __is_abstract(_Tp)> { }; template<typename _Tp, bool = is_arithmetic<_Tp>::value> struct __is_signed_helper : public false_type { }; template<typename _Tp> struct __is_signed_helper<_Tp, true> : public integral_constant<bool, _Tp(-1) < _Tp(0)> { }; /// is_signed template<typename _Tp> struct is_signed : public __is_signed_helper<_Tp>::type { }; /// is_unsigned template<typename _Tp> struct is_unsigned : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>> { }; // Destructible and constructible type properties. /* * @brief Utility to simplify expressions used in unevaluated operands * @ingroup utilities / template<typename _Tp, typename _Up = _Tp&&> _Up __declval(int); template<typename _Tp> _Tp __declval(long); template<typename _Tp> auto declval() noexcept -> decltype(__declval<_Tp>(0)); template<typename, unsigned = 0> struct extent; template<typename> struct remove_all_extents; template<typename _Tp> struct __is_array_known_bounds : public integral_constant<bool, (extent<_Tp>::value > 0)> { }; template<typename _Tp> struct __is_array_unknown_bounds : public __and_<is_array<_Tp>, __not_<extent<_Tp>>> { }; // In N3290 is_destructible does not say anything about function // types and abstract types, see LWG 2049. This implementation // describes function types as non-destructible and all complete // object types as destructible, iff the explicit destructor // call expression is wellformed. struct __do_is_destructible_impl { template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())> static true_type __test(int); template<typename> static false_type __test(...); }; template<typename _Tp> struct __is_destructible_impl : public __do_is_destructible_impl { typedef decltype(__test<_Tp>(0)) type; }; template<typename _Tp, bool = __or_<is_void<_Tp>, __is_array_unknown_bounds<_Tp>, is_function<_Tp>>::value, bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value> struct __is_destructible_safe; template<typename _Tp> struct __is_destructible_safe<_Tp, false, false> : public __is_destructible_impl<typename remove_all_extents<_Tp>::type>::type { }; template<typename _Tp> struct __is_destructible_safe<_Tp, true, false> : public false_type { }; template<typename _Tp> struct __is_destructible_safe<_Tp, false, true> : public true_type { }; /// is_destructible template<typename _Tp> struct is_destructible : public __is_destructible_safe<_Tp>::type { }; // is_nothrow_destructible requires that is_destructible is // satisfied as well. We realize that by mimicing the // implementation of is_destructible but refer to noexcept(expr) // instead of decltype(expr). struct __do_is_nt_destructible_impl { template<typename _Tp> static integral_constant<bool, noexcept(declval<_Tp&>().~_Tp())> __test(int); template<typename> static false_type __test(...); }; template<typename _Tp> struct __is_nt_destructible_impl : public __do_is_nt_destructible_impl { typedef decltype(__test<_Tp>(0)) type; }; template<typename _Tp, bool = __or_<is_void<_Tp>, __is_array_unknown_bounds<_Tp>, is_function<_Tp>>::value, bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value> struct __is_nt_destructible_safe; template<typename _Tp> struct __is_nt_destructible_safe<_Tp, false, false> : public __is_nt_destructible_impl<typename remove_all_extents<_Tp>::type>::type { }; template<typename _Tp> struct __is_nt_destructible_safe<_Tp, true, false> : public false_type { }; template<typename _Tp> struct __is_nt_destructible_safe<_Tp, false, true> : public true_type { }; /// is_nothrow_destructible template<typename _Tp> struct is_nothrow_destructible : public __is_nt_destructible_safe<_Tp>::type { }; /// is_constructible template<typename _Tp, typename... _Args> struct is_constructible : public __bool_constant<__is_constructible(_Tp, _Args...)> { }; /// is_default_constructible template<typename _Tp> struct is_default_constructible : public is_constructible<_Tp>::type { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_copy_constructible_impl; template<typename _Tp> struct __is_copy_constructible_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_copy_constructible_impl<_Tp, true> : public is_constructible<_Tp, const _Tp&> { }; /// is_copy_constructible template<typename _Tp> struct is_copy_constructible : public __is_copy_constructible_impl<_Tp> { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_move_constructible_impl; template<typename _Tp> struct __is_move_constructible_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_move_constructible_impl<_Tp, true> : public is_constructible<_Tp, _Tp&&> { }; /// is_move_constructible template<typename _Tp> struct is_move_constructible : public __is_move_constructible_impl<_Tp> { }; template<bool, typename _Tp, typename... _Args> struct __is_nt_constructible_impl : public false_type { }; template<typename _Tp, typename... _Args> struct __is_nt_constructible_impl<true, _Tp, _Args...> : public __bool_constant<noexcept(_Tp(std::declval<_Args>()...))> { }; template<typename _Tp, typename _Arg> struct __is_nt_constructible_impl<true, _Tp, _Arg> : public __bool_constant<noexcept(static_cast<_Tp>(std::declval<_Arg>()))> { }; template<typename _Tp> struct __is_nt_constructible_impl<true, _Tp> : public __bool_constant<noexcept(_Tp())> { }; template<typename _Tp, size_t _Num> struct __is_nt_constructible_impl<true, _Tp[_Num]> : public __bool_constant<noexcept(typename remove_all_extents<_Tp>::type())> { }; template<typename _Tp, typename... _Args> using __is_nothrow_constructible_impl = __is_nt_constructible_impl<__is_constructible(_Tp, _Args...), _Tp, _Args...>; /// is_nothrow_constructible template<typename _Tp, typename... _Args> struct is_nothrow_constructible : public __is_nothrow_constructible_impl<_Tp, _Args...>::type { }; /// is_nothrow_default_constructible template<typename _Tp> struct is_nothrow_default_constructible : public __is_nothrow_constructible_impl<_Tp>::type { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_nothrow_copy_constructible_impl; template<typename _Tp> struct __is_nothrow_copy_constructible_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_nothrow_copy_constructible_impl<_Tp, true> : public is_nothrow_constructible<_Tp, const _Tp&> { }; /// is_nothrow_copy_constructible template<typename _Tp> struct is_nothrow_copy_constructible : public __is_nothrow_copy_constructible_impl<_Tp> { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_nothrow_move_constructible_impl; template<typename _Tp> struct __is_nothrow_move_constructible_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_nothrow_move_constructible_impl<_Tp, true> : public is_nothrow_constructible<_Tp, _Tp&&> { }; /// is_nothrow_move_constructible template<typename _Tp> struct is_nothrow_move_constructible : public __is_nothrow_move_constructible_impl<_Tp> { }; /// is_assignable template<typename _Tp, typename _Up> struct is_assignable : public __bool_constant<__is_assignable(_Tp, _Up)> { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_copy_assignable_impl; template<typename _Tp> struct __is_copy_assignable_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_copy_assignable_impl<_Tp, true> : public is_assignable<_Tp&, const _Tp&> { }; /// is_copy_assignable template<typename _Tp> struct is_copy_assignable : public __is_copy_assignable_impl<_Tp> { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_move_assignable_impl; template<typename _Tp> struct __is_move_assignable_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_move_assignable_impl<_Tp, true> : public is_assignable<_Tp&, _Tp&&> { }; /// is_move_assignable template<typename _Tp> struct is_move_assignable : public __is_move_assignable_impl<_Tp> { }; template<typename _Tp, typename _Up> struct __is_nt_assignable_impl : public integral_constant<bool, noexcept(declval<_Tp>() = declval<_Up>())> { }; /// is_nothrow_assignable template<typename _Tp, typename _Up> struct is_nothrow_assignable : public __and_<is_assignable<_Tp, _Up>, __is_nt_assignable_impl<_Tp, _Up>> { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_nt_copy_assignable_impl; template<typename _Tp> struct __is_nt_copy_assignable_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_nt_copy_assignable_impl<_Tp, true> : public is_nothrow_assignable<_Tp&, const _Tp&> { }; /// is_nothrow_copy_assignable template<typename _Tp> struct is_nothrow_copy_assignable : public __is_nt_copy_assignable_impl<_Tp> { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_nt_move_assignable_impl; template<typename _Tp> struct __is_nt_move_assignable_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_nt_move_assignable_impl<_Tp, true> : public is_nothrow_assignable<_Tp&, _Tp&&> { }; /// is_nothrow_move_assignable template<typename _Tp> struct is_nothrow_move_assignable : public __is_nt_move_assignable_impl<_Tp> { }; /// is_trivially_constructible template<typename _Tp, typename... _Args> struct is_trivially_constructible : public __and_<is_constructible<_Tp, _Args...>, __bool_constant< __is_trivially_constructible(_Tp, _Args...)>>::type { }; /// is_trivially_default_constructible template<typename _Tp> struct is_trivially_default_constructible : public is_trivially_constructible<_Tp>::type { }; struct __do_is_implicitly_default_constructible_impl { template <typename _Tp> static void __helper(const _Tp&); template <typename _Tp> static true_type __test(const _Tp&, decltype(__helper<const _Tp&>({})) = 0); static false_type __test(...); }; template<typename _Tp> struct __is_implicitly_default_constructible_impl : public __do_is_implicitly_default_constructible_impl { typedef decltype(__test(declval<_Tp>())) type; }; template<typename _Tp> struct __is_implicitly_default_constructible_safe : public __is_implicitly_default_constructible_impl<_Tp>::type { }; template <typename _Tp> struct __is_implicitly_default_constructible : public __and_<is_default_constructible<_Tp>, __is_implicitly_default_constructible_safe<_Tp>> { }; /// is_trivially_copy_constructible template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_trivially_copy_constructible_impl; template<typename _Tp> struct __is_trivially_copy_constructible_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_trivially_copy_constructible_impl<_Tp, true> : public __and_<is_copy_constructible<_Tp>, integral_constant<bool, __is_trivially_constructible(_Tp, const _Tp&)>> { }; template<typename _Tp> struct is_trivially_copy_constructible : public __is_trivially_copy_constructible_impl<_Tp> { }; /// is_trivially_move_constructible template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_trivially_move_constructible_impl; template<typename _Tp> struct __is_trivially_move_constructible_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_trivially_move_constructible_impl<_Tp, true> : public __and_<is_move_constructible<_Tp>, integral_constant<bool, __is_trivially_constructible(_Tp, _Tp&&)>> { }; template<typename _Tp> struct is_trivially_move_constructible : public __is_trivially_move_constructible_impl<_Tp> { }; /// is_trivially_assignable template<typename _Tp, typename _Up> struct is_trivially_assignable : public __bool_constant<__is_trivially_assignable(_Tp, _Up)> { }; /// is_trivially_copy_assignable template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_trivially_copy_assignable_impl; template<typename _Tp> struct __is_trivially_copy_assignable_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_trivially_copy_assignable_impl<_Tp, true> : public __and_<is_copy_assignable<_Tp>, integral_constant<bool, __is_trivially_assignable(_Tp&, const _Tp&)>> { }; template<typename _Tp> struct is_trivially_copy_assignable : public __is_trivially_copy_assignable_impl<_Tp> { }; /// is_trivially_move_assignable template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __is_trivially_move_assignable_impl; template<typename _Tp> struct __is_trivially_move_assignable_impl<_Tp, false> : public false_type { }; template<typename _Tp> struct __is_trivially_move_assignable_impl<_Tp, true> : public __and_<is_move_assignable<_Tp>, integral_constant<bool, __is_trivially_assignable(_Tp&, _Tp&&)>> { }; template<typename _Tp> struct is_trivially_move_assignable : public __is_trivially_move_assignable_impl<_Tp> { }; /// is_trivially_destructible template<typename _Tp> struct is_trivially_destructible : public __and_<is_destructible<_Tp>, integral_constant<bool, __has_trivial_destructor(_Tp)>> { }; /// has_virtual_destructor template<typename _Tp> struct has_virtual_destructor : public integral_constant<bool, __has_virtual_destructor(_Tp)> { }; // type property queries. /// alignment_of template<typename _Tp> struct alignment_of : public integral_constant<std::size_t, alignof(_Tp)> { }; /// rank template<typename> struct rank : public integral_constant<std::size_t, 0> { }; template<typename _Tp, std::size_t _Size> struct rank<_Tp[_Size]> : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { }; template<typename _Tp> struct rank<_Tp[]> : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { }; /// extent template<typename, unsigned _Uint> struct extent : public integral_constant<std::size_t, 0> { }; template<typename _Tp, unsigned _Uint, std::size_t _Size> struct extent<_Tp[_Size], _Uint> : public integral_constant<std::size_t, _Uint == 0 ? _Size : extent<_Tp, _Uint - 1>::value> { }; template<typename _Tp, unsigned _Uint> struct extent<_Tp[], _Uint> : public integral_constant<std::size_t, _Uint == 0 ? 0 : extent<_Tp, _Uint - 1>::value> { }; // Type relations. /// is_same template<typename, typename> struct is_same : public false_type { }; template<typename _Tp> struct is_same<_Tp, _Tp> : public true_type { }; /// is_base_of template<typename _Base, typename _Derived> struct is_base_of : public integral_constant<bool, __is_base_of(_Base, _Derived)> { }; template<typename _From, typename _To, bool = __or_<is_void<_From>, is_function<_To>, is_array<_To>>::value> struct __is_convertible_helper { typedef typename is_void<_To>::type type; }; template<typename _From, typename _To> class __is_convertible_helper<_From, _To, false> { template<typename _To1> static void __test_aux(_To1); template<typename _From1, typename _To1, typename = decltype(__test_aux<_To1>(std::declval<_From1>()))> static true_type __test(int); template<typename, typename> static false_type __test(...); public: typedef decltype(__test<_From, _To>(0)) type; }; /// is_convertible template<typename _From, typename _To> struct is_convertible : public __is_convertible_helper<_From, _To>::type { }; // Const-volatile modifications. /// remove_const template<typename _Tp> struct remove_const { typedef _Tp type; }; template<typename _Tp> struct remove_const<_Tp const> { typedef _Tp type; }; /// remove_volatile template<typename _Tp> struct remove_volatile { typedef _Tp type; }; template<typename _Tp> struct remove_volatile<_Tp volatile> { typedef _Tp type; }; /// remove_cv template<typename _Tp> struct remove_cv { typedef typename remove_const<typename remove_volatile<_Tp>::type>::type type; }; /// add_const template<typename _Tp> struct add_const { typedef _Tp const type; }; /// add_volatile template<typename _Tp> struct add_volatile { typedef _Tp volatile type; }; /// add_cv template<typename _Tp> struct add_cv { typedef typename add_const<typename add_volatile<_Tp>::type>::type type; }; #if __cplusplus > 201103L #define __cpp_lib_transformation_trait_aliases 201304 /// Alias template for remove_const template<typename _Tp> using remove_const_t = typename remove_const<_Tp>::type; /// Alias template for remove_volatile template<typename _Tp> using remove_volatile_t = typename remove_volatile<_Tp>::type; /// Alias template for remove_cv template<typename _Tp> using remove_cv_t = typename remove_cv<_Tp>::type; /// Alias template for add_const template<typename _Tp> using add_const_t = typename add_const<_Tp>::type; /// Alias template for add_volatile template<typename _Tp> using add_volatile_t = typename add_volatile<_Tp>::type; /// Alias template for add_cv template<typename _Tp> using add_cv_t = typename add_cv<_Tp>::type; #endif // Reference transformations. /// remove_reference template<typename _Tp> struct remove_reference { typedef _Tp type; }; template<typename _Tp> struct remove_reference<_Tp&> { typedef _Tp type; }; template<typename _Tp> struct remove_reference<_Tp&&> { typedef _Tp type; }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __add_lvalue_reference_helper { typedef _Tp type; }; template<typename _Tp> struct __add_lvalue_reference_helper<_Tp, true> { typedef _Tp& type; }; /// add_lvalue_reference template<typename _Tp> struct add_lvalue_reference : public __add_lvalue_reference_helper<_Tp> { }; template<typename _Tp, bool = __is_referenceable<_Tp>::value> struct __add_rvalue_reference_helper { typedef _Tp type; }; template<typename _Tp> struct __add_rvalue_reference_helper<_Tp, true> { typedef _Tp&& type; }; /// add_rvalue_reference template<typename _Tp> struct add_rvalue_reference : public __add_rvalue_reference_helper<_Tp> { }; #if __cplusplus > 201103L /// Alias template for remove_reference template<typename _Tp> using remove_reference_t = typename remove_reference<_Tp>::type; /// Alias template for add_lvalue_reference template<typename _Tp> using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type; /// Alias template for add_rvalue_reference template<typename _Tp> using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type; #endif // Sign modifications. // Utility for constructing identically cv-qualified types. template<typename _Unqualified, bool _IsConst, bool _IsVol> struct __cv_selector; template<typename _Unqualified> struct __cv_selector<_Unqualified, false, false> { typedef _Unqualified __type; }; template<typename _Unqualified> struct __cv_selector<_Unqualified, false, true> { typedef volatile _Unqualified __type; }; template<typename _Unqualified> struct __cv_selector<_Unqualified, true, false> { typedef const _Unqualified __type; }; template<typename _Unqualified> struct __cv_selector<_Unqualified, true, true> { typedef const volatile _Unqualified __type; }; template<typename _Qualified, typename _Unqualified, bool _IsConst = is_const<_Qualified>::value, bool _IsVol = is_volatile<_Qualified>::value> class __match_cv_qualifiers { typedef __cv_selector<_Unqualified, _IsConst, _IsVol> __match; public: typedef typename __match::__type __type; }; // Utility for finding the unsigned versions of signed integral types. template<typename _Tp> struct __make_unsigned { typedef _Tp __type; }; template<> struct __make_unsigned<char> { typedef unsigned char __type; }; template<> struct __make_unsigned<signed char> { typedef unsigned char __type; }; template<> struct __make_unsigned<short> { typedef unsigned short __type; }; template<> struct __make_unsigned<int> { typedef unsigned int __type; }; template<> struct __make_unsigned<long> { typedef unsigned long __type; }; template<> struct __make_unsigned<long long> { typedef unsigned long long __type; }; #if defined(__GLIBCXX_TYPE_INT_N_0) template<> struct __make_unsigned<__GLIBCXX_TYPE_INT_N_0> { typedef unsigned __GLIBCXX_TYPE_INT_N_0 __type; }; #endif #if defined(__GLIBCXX_TYPE_INT_N_1) template<> struct __make_unsigned<__GLIBCXX_TYPE_INT_N_1> { typedef unsigned __GLIBCXX_TYPE_INT_N_1 __type; }; #endif #if defined(__GLIBCXX_TYPE_INT_N_2) template<> struct __make_unsigned<__GLIBCXX_TYPE_INT_N_2> { typedef unsigned __GLIBCXX_TYPE_INT_N_2 __type; }; #endif #if defined(__GLIBCXX_TYPE_INT_N_3) template<> struct __make_unsigned<__GLIBCXX_TYPE_INT_N_3> { typedef unsigned __GLIBCXX_TYPE_INT_N_3 __type; }; #endif // Select between integral and enum: not possible to be both. template<typename _Tp, bool _IsInt = is_integral<_Tp>::value, bool _IsEnum = is_enum<_Tp>::value> class __make_unsigned_selector; template<typename _Tp> class __make_unsigned_selector<_Tp, true, false> { typedef __make_unsigned<typename remove_cv<_Tp>::type> __unsignedt; typedef typename __unsignedt::__type __unsigned_type; typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned; public: typedef typename __cv_unsigned::__type __type; }; template<typename _Tp> class __make_unsigned_selector<_Tp, false, true> { // With -fshort-enums, an enum may be as small as a char. typedef unsigned char __smallest; static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest); static const bool __b1 = sizeof(_Tp) <= sizeof(unsigned short); static const bool __b2 = sizeof(_Tp) <= sizeof(unsigned int); static const bool __b3 = sizeof(_Tp) <= sizeof(unsigned long); typedef conditional<__b3, unsigned long, unsigned long long> __cond3; typedef typename __cond3::type __cond3_type; typedef conditional<__b2, unsigned int, __cond3_type> __cond2; typedef typename __cond2::type __cond2_type; typedef conditional<__b1, unsigned short, __cond2_type> __cond1; typedef typename __cond1::type __cond1_type; typedef typename conditional<__b0, __smallest, __cond1_type>::type __unsigned_type; typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned; public: typedef typename __cv_unsigned::__type __type; }; // Given an integral/enum type, return the corresponding unsigned // integer type. // Primary template. /// make_unsigned template<typename _Tp> struct make_unsigned { typedef typename __make_unsigned_selector<_Tp>::__type type; }; // Integral, but don't define. template<> struct make_unsigned<bool>; // Utility for finding the signed versions of unsigned integral types. template<typename _Tp> struct __make_signed { typedef _Tp __type; }; template<> struct __make_signed<char> { typedef signed char __type; }; template<> struct __make_signed<unsigned char> { typedef signed char __type; }; template<> struct __make_signed<unsigned short> { typedef signed short __type; }; template<> struct __make_signed<unsigned int> { typedef signed int __type; }; template<> struct __make_signed<unsigned long> { typedef signed long __type; }; template<> struct __make_signed<unsigned long long> { typedef signed long long __type; }; #if defined(__GLIBCXX_TYPE_INT_N_0) template<> struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_0> { typedef __GLIBCXX_TYPE_INT_N_0 __type; }; #endif #if defined(__GLIBCXX_TYPE_INT_N_1) template<> struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_1> { typedef __GLIBCXX_TYPE_INT_N_1 __type; }; #endif #if defined(__GLIBCXX_TYPE_INT_N_2) template<> struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_2> { typedef __GLIBCXX_TYPE_INT_N_2 __type; }; #endif #if defined(__GLIBCXX_TYPE_INT_N_3) template<> struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_3> { typedef __GLIBCXX_TYPE_INT_N_3 __type; }; #endif // Select between integral and enum: not possible to be both. template<typename _Tp, bool _IsInt = is_integral<_Tp>::value, bool _IsEnum = is_enum<_Tp>::value> class __make_signed_selector; template<typename _Tp> class __make_signed_selector<_Tp, true, false> { typedef __make_signed<typename remove_cv<_Tp>::type> __signedt; typedef typename __signedt::__type __signed_type; typedef __match_cv_qualifiers<_Tp, __signed_type> __cv_signed; public: typedef typename __cv_signed::__type __type; }; template<typename _Tp> class __make_signed_selector<_Tp, false, true> { typedef typename __make_unsigned_selector<_Tp>::__type __unsigned_type; public: typedef typename __make_signed_selector<__unsigned_type>::__type __type; }; // Given an integral/enum type, return the corresponding signed // integer type. // Primary template. /// make_signed template<typename _Tp> struct make_signed { typedef typename __make_signed_selector<_Tp>::__type type; }; // Integral, but don't define. template<> struct make_signed<bool>; #if __cplusplus > 201103L /// Alias template for make_signed template<typename _Tp> using make_signed_t = typename make_signed<_Tp>::type; /// Alias template for make_unsigned template<typename _Tp> using make_unsigned_t = typename make_unsigned<_Tp>::type; #endif // Array modifications. /// remove_extent template<typename _Tp> struct remove_extent { typedef _Tp type; }; template<typename _Tp, std::size_t _Size> struct remove_extent<_Tp[_Size]> { typedef _Tp type; }; template<typename _Tp> struct remove_extent<_Tp[]> { typedef _Tp type; }; /// remove_all_extents template<typename _Tp> struct remove_all_extents { typedef _Tp type; }; template<typename _Tp, std::size_t _Size> struct remove_all_extents<_Tp[_Size]> { typedef typename remove_all_extents<_Tp>::type type; }; template<typename _Tp> struct remove_all_extents<_Tp[]> { typedef typename remove_all_extents<_Tp>::type type; }; #if __cplusplus > 201103L /// Alias template for remove_extent template<typename _Tp> using remove_extent_t = typename remove_extent<_Tp>::type; /// Alias template for remove_all_extents template<typename _Tp> using remove_all_extents_t = typename remove_all_extents<_Tp>::type; #endif // Pointer modifications. template<typename _Tp, typename> struct __remove_pointer_helper { typedef _Tp type; }; template<typename _Tp, typename _Up> struct __remove_pointer_helper<_Tp, _Up> { typedef _Up type; }; /// remove_pointer template<typename _Tp> struct remove_pointer : public __remove_pointer_helper<_Tp, typename remove_cv<_Tp>::type> { }; /// add_pointer template<typename _Tp, bool = __or_<__is_referenceable<_Tp>, is_void<_Tp>>::value> struct __add_pointer_helper { typedef _Tp type; }; template<typename _Tp> struct __add_pointer_helper<_Tp, true> { typedef typename remove_reference<_Tp>::type type; }; template<typename _Tp> struct add_pointer : public __add_pointer_helper<_Tp> { }; #if __cplusplus > 201103L /// Alias template for remove_pointer template<typename _Tp> using remove_pointer_t = typename remove_pointer<_Tp>::type; /// Alias template for add_pointer template<typename _Tp> using add_pointer_t = typename add_pointer<_Tp>::type; #endif template<std::size_t _Len> struct __aligned_storage_msa { union __type { unsigned char __data[_Len]; struct __attribute__((__aligned__)) { } __align; }; }; /** * @brief Alignment type. * * The value of _Align is a default-alignment which shall be the * most stringent alignment requirement for any C++ object type * whose size is no greater than _Len (3.9). The member typedef * type shall be a POD type suitable for use as uninitialized * storage for any object whose size is at most _Len and whose * alignment is a divisor of _Align. / template<std::size_t _Len, std::size_t _Align = __alignof__(typename __aligned_storage_msa<_Len>::__type)> struct aligned_storage { union type { unsigned char __data[_Len]; struct __attribute__((__aligned__((_Align)))) { } __align; }; }; template <typename... _Types> struct __strictest_alignment { static const size_t _S_alignment = 0; static const size_t _S_size = 0; }; template <typename _Tp, typename... _Types> struct __strictest_alignment<_Tp, _Types...> { static const size_t _S_alignment = alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment ? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment; static const size_t _S_size = sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size ? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size; }; /* * @brief Provide aligned storage for types. * * [meta.trans.other] * * Provides aligned storage for any of the provided types of at * least size _Len. * * @see aligned_storage / template <size_t _Len, typename... _Types> struct aligned_union { private: static_assert(sizeof...(_Types) != 0, "At least one type is required"); using __strictest = __strictest_alignment<_Types...>; static const size_t _S_len = _Len > __strictest::_S_size ? _Len : __strictest::_S_size; public: /// The value of the strictest alignment of _Types. static const size_t alignment_value = __strictest::_S_alignment; /// The storage. typedef typename aligned_storage<_S_len, alignment_value>::type type; }; template <size_t _Len, typename... _Types> const size_t aligned_union<_Len, _Types...>::alignment_value; // Decay trait for arrays and functions, used for perfect forwarding // in make_pair, make_tuple, etc. template<typename _Up, bool _IsArray = is_array<_Up>::value, bool _IsFunction = is_function<_Up>::value> struct __decay_selector; // NB: DR 705. template<typename _Up> struct __decay_selector<_Up, false, false> { typedef typename remove_cv<_Up>::type __type; }; template<typename _Up> struct __decay_selector<_Up, true, false> { typedef typename remove_extent<_Up>::type __type; }; template<typename _Up> struct __decay_selector<_Up, false, true> { typedef typename add_pointer<_Up>::type __type; }; /// decay template<typename _Tp> class decay { typedef typename remove_reference<_Tp>::type __remove_type; public: typedef typename __decay_selector<__remove_type>::__type type; }; template<typename _Tp> class reference_wrapper; // Helper which adds a reference to a type when given a reference_wrapper template<typename _Tp> struct __strip_reference_wrapper { typedef _Tp __type; }; template<typename _Tp> struct __strip_reference_wrapper<reference_wrapper<_Tp> > { typedef _Tp& __type; }; template<typename _Tp> struct __decay_and_strip { typedef typename __strip_reference_wrapper< typename decay<_Tp>::type>::__type __type; }; // Primary template. /// Define a member typedef @c type only if a boolean constant is true. template<bool, typename _Tp = void> struct enable_if { }; // Partial specialization for true. template<typename _Tp> struct enable_if<true, _Tp> { typedef _Tp type; }; template<typename... _Cond> using _Require = typename enable_if<__and_<_Cond...>::value>::type; // Primary template. /// Define a member typedef @c type to one of two argument types. template<bool _Cond, typename _Iftrue, typename _Iffalse> struct conditional { typedef _Iftrue type; }; // Partial specialization for false. template<typename _Iftrue, typename _Iffalse> struct conditional<false, _Iftrue, _Iffalse> { typedef _Iffalse type; }; /// common_type template<typename... _Tp> struct common_type; // Sfinae-friendly common_type implementation: struct __do_common_type_impl { template<typename _Tp, typename _Up> static __success_type<typename decay<decltype (true ? std::declval<_Tp>() : std::declval<_Up>())>::type> _S_test(int); template<typename, typename> static __failure_type _S_test(...); }; template<typename _Tp, typename _Up> struct __common_type_impl : private __do_common_type_impl { typedef decltype(_S_test<_Tp, _Up>(0)) type; }; struct __do_member_type_wrapper { template<typename _Tp> static __success_type<typename _Tp::type> _S_test(int); template<typename> static __failure_type _S_test(...); }; template<typename _Tp> struct __member_type_wrapper : private __do_member_type_wrapper { typedef decltype(_S_test<_Tp>(0)) type; }; template<typename _CTp, typename... _Args> struct __expanded_common_type_wrapper { typedef common_type<typename _CTp::type, _Args...> type; }; template<typename... _Args> struct __expanded_common_type_wrapper<__failure_type, _Args...> { typedef __failure_type type; }; template<> struct common_type<> { }; template<typename _Tp> struct common_type<_Tp> : common_type<_Tp, _Tp> { }; template<typename _Tp, typename _Up> struct common_type<_Tp, _Up> : public __common_type_impl<_Tp, _Up>::type { }; template<typename _Tp, typename _Up, typename... _Vp> struct common_type<_Tp, _Up, _Vp...> : public __expanded_common_type_wrapper<typename __member_type_wrapper< common_type<_Tp, _Up>>::type, _Vp...>::type { }; /// The underlying type of an enum. template<typename _Tp> struct underlying_type { typedef __underlying_type(_Tp) type; }; template<typename _Tp> struct __declval_protector { static const bool __stop = false; }; template<typename _Tp> auto declval() noexcept -> decltype(__declval<_Tp>(0)) { static_assert(__declval_protector<_Tp>::__stop, "declval() must not be used!"); return __declval<_Tp>(0); } // wchar_t, char16_t and char32_t are integral types but are neither // signed integer types nor unsigned integer types, so must be // transformed to the integer type with the smallest rank that has the // same size and signedness. // Use the partial specialization for enumeration types to do that, // which means these explicit specializations must be defined after // std::conditional has been defined. #if defined(_GLIBCXX_USE_WCHAR_T) template<> struct __make_unsigned<wchar_t> { using __type = typename __make_unsigned_selector<wchar_t, false, true>::__type; }; template<> struct __make_signed<wchar_t> { using __type = typename __make_signed_selector<wchar_t, false, true>::__type; }; #endif template<> struct __make_unsigned<char16_t> { using __type = typename __make_unsigned_selector<char16_t, false, true>::__type; }; template<> struct __make_signed<char16_t> { using __type = typename __make_signed_selector<char16_t, false, true>::__type; }; template<> struct __make_unsigned<char32_t> { using __type = typename __make_unsigned_selector<char32_t, false, true>::__type; }; template<> struct __make_signed<char32_t> { using __type = typename __make_signed_selector<char32_t, false, true>::__type; }; /// result_of template<typename _Signature> class result_of; // Sfinae-friendly result_of implementation: #define __cpp_lib_result_of_sfinae 201210 struct __invoke_memfun_ref { }; struct __invoke_memfun_deref { }; struct __invoke_memobj_ref { }; struct __invoke_memobj_deref { }; struct __invoke_other { }; // Associate a tag type with a specialization of __success_type. template<typename _Tp, typename _Tag> struct __result_of_success : __success_type<_Tp> { using __invoke_type = _Tag; }; // [func.require] paragraph 1 bullet 1: struct __result_of_memfun_ref_impl { template<typename _Fp, typename _Tp1, typename... _Args> static __result_of_success<decltype( (std::declval<_Tp1>().std::declval<_Fp>())(std::declval<_Args>()...) ), __invoke_memfun_ref> _S_test(int); template<typename...> static __failure_type _S_test(...); }; template<typename _MemPtr, typename _Arg, typename... _Args> struct __result_of_memfun_ref : private __result_of_memfun_ref_impl { typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type; }; // [func.require] paragraph 1 bullet 2: struct __result_of_memfun_deref_impl { template<typename _Fp, typename _Tp1, typename... _Args> static __result_of_success<decltype( ((std::declval<_Tp1>()).std::declval<_Fp>())(std::declval<_Args>()...) ), __invoke_memfun_deref> _S_test(int); template<typename...> static __failure_type _S_test(...); }; template<typename _MemPtr, typename _Arg, typename... _Args> struct __result_of_memfun_deref : private __result_of_memfun_deref_impl { typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type; }; // [func.require] paragraph 1 bullet 3: struct __result_of_memobj_ref_impl { template<typename _Fp, typename _Tp1> static __result_of_success<decltype( std::declval<_Tp1>().std::declval<_Fp>() ), __invoke_memobj_ref> _S_test(int); template<typename, typename> static __failure_type _S_test(...); }; template<typename _MemPtr, typename _Arg> struct __result_of_memobj_ref : private __result_of_memobj_ref_impl { typedef decltype(_S_test<_MemPtr, _Arg>(0)) type; }; // [func.require] paragraph 1 bullet 4: struct __result_of_memobj_deref_impl { template<typename _Fp, typename _Tp1> static __result_of_success<decltype( (std::declval<_Tp1>()).std::declval<_Fp>() ), __invoke_memobj_deref> _S_test(int); template<typename, typename> static __failure_type _S_test(...); }; template<typename _MemPtr, typename _Arg> struct __result_of_memobj_deref : private __result_of_memobj_deref_impl { typedef decltype(_S_test<_MemPtr, _Arg>(0)) type; }; template<typename _MemPtr, typename _Arg> struct __result_of_memobj; template<typename _Res, typename _Class, typename _Arg> struct __result_of_memobj<_Res _Class::, _Arg> { typedef typename remove_cv<typename remove_reference< _Arg>::type>::type _Argval; typedef _Res _Class:: _MemPtr; typedef typename conditional<__or_<is_same<_Argval, _Class>, is_base_of<_Class, _Argval>>::value, __result_of_memobj_ref<_MemPtr, _Arg>, __result_of_memobj_deref<_MemPtr, _Arg> >::type::type type; }; template<typename _MemPtr, typename _Arg, typename... _Args> struct __result_of_memfun; template<typename _Res, typename _Class, typename _Arg, typename... _Args> struct __result_of_memfun<_Res _Class::, _Arg, _Args...> { typedef typename remove_cv<typename remove_reference< _Arg>::type>::type _Argval; typedef _Res _Class:: _MemPtr; typedef typename conditional<__or_<is_same<_Argval, _Class>, is_base_of<_Class, _Argval>>::value, __result_of_memfun_ref<_MemPtr, _Arg, _Args...>, __result_of_memfun_deref<_MemPtr, _Arg, _Args...> >::type::type type; }; // _GLIBCXX_RESOLVE_LIB_DEFECTS // 2219. INVOKE-ing a pointer to member with a reference_wrapper // as the object expression // Used by result_of, invoke etc. to unwrap a reference_wrapper. template<typename _Tp, typename _Up = typename decay<_Tp>::type> struct __inv_unwrap { using type = _Tp; }; template<typename _Tp, typename _Up> struct __inv_unwrap<_Tp, reference_wrapper<_Up>> { using type = _Up&; }; template<bool, bool, typename _Functor, typename... _ArgTypes> struct __result_of_impl { typedef __failure_type type; }; template<typename _MemPtr, typename _Arg> struct __result_of_impl<true, false, _MemPtr, _Arg> : public __result_of_memobj<typename decay<_MemPtr>::type, typename __inv_unwrap<_Arg>::type> { }; template<typename _MemPtr, typename _Arg, typename... _Args> struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...> : public __result_of_memfun<typename decay<_MemPtr>::type, typename __inv_unwrap<_Arg>::type, _Args...> { }; // [func.require] paragraph 1 bullet 5: struct __result_of_other_impl { template<typename _Fn, typename... _Args> static __result_of_success<decltype( std::declval<_Fn>()(std::declval<_Args>()...) ), __invoke_other> _S_test(int); template<typename...> static __failure_type _S_test(...); }; template<typename _Functor, typename... _ArgTypes> struct __result_of_impl<false, false, _Functor, _ArgTypes...> : private __result_of_other_impl { typedef decltype(_S_test<_Functor, _ArgTypes...>(0)) type; }; // __invoke_result (std::invoke_result for C++11) template<typename _Functor, typename... _ArgTypes> struct __invoke_result : public __result_of_impl< is_member_object_pointer< typename remove_reference<_Functor>::type >::value, is_member_function_pointer< typename remove_reference<_Functor>::type >::value, _Functor, _ArgTypes... >::type { }; template<typename _Functor, typename... _ArgTypes> struct result_of<_Functor(_ArgTypes...)> : public __invoke_result<_Functor, _ArgTypes...> { }; #if __cplusplus >= 201402L /// Alias template for aligned_storage template<size_t _Len, size_t _Align = __alignof__(typename __aligned_storage_msa<_Len>::__type)> using aligned_storage_t = typename aligned_storage<_Len, _Align>::type; template <size_t _Len, typename... _Types> using aligned_union_t = typename aligned_union<_Len, _Types...>::type; /// Alias template for decay template<typename _Tp> using decay_t = typename decay<_Tp>::type; /// Alias template for enable_if template<bool _Cond, typename _Tp = void> using enable_if_t = typename enable_if<_Cond, _Tp>::type; /// Alias template for conditional template<bool _Cond, typename _Iftrue, typename _Iffalse> using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type; /// Alias template for common_type template<typename... _Tp> using common_type_t = typename common_type<_Tp...>::type; /// Alias template for underlying_type template<typename _Tp> using underlying_type_t = typename underlying_type<_Tp>::type; /// Alias template for result_of template<typename _Tp> using result_of_t = typename result_of<_Tp>::type; #endif // C++14 // __enable_if_t (std::enable_if_t for C++11) template<bool _Cond, typename _Tp = void> using __enable_if_t = typename enable_if<_Cond, _Tp>::type; // __void_t (std::void_t for C++11) template<typename...> using __void_t = void; #if __cplusplus >= 201703L \|\| !defined(__STRICT_ANSI__) // c++17 or gnu++11 #define __cpp_lib_void_t 201411 /// A metafunction that always yields void, used for detecting valid types. template<typename...> using void_t = void; #endif /// Implementation of the detection idiom (negative case). template<typename _Default, typename _AlwaysVoid, template<typename...> class _Op, typename... _Args> struct __detector { using value_t = false_type; using type = _Default; }; /// Implementation of the detection idiom (positive case). template<typename _Default, template<typename...> class _Op, typename... _Args> struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...> { using value_t = true_type; using type = _Op<_Args...>; }; // Detect whether _Op<_Args...> is a valid type, use _Default if not. template<typename _Default, template<typename...> class _Op, typename... _Args> using __detected_or = __detector<_Default, void, _Op, _Args...>; // _Op<_Args...> if that is a valid type, otherwise _Default. template<typename _Default, template<typename...> class _Op, typename... _Args> using __detected_or_t = typename __detected_or<_Default, _Op, _Args...>::type; /// @} group metaprogramming /** * Use SFINAE to determine if the type _Tp has a publicly-accessible * member type _NTYPE. / #define _GLIBCXX_HAS_NESTED_TYPE(_NTYPE) \ template<typename _Tp, typename = __void_t<>> \ struct __has_##_NTYPE \ : false_type \ { }; \ template<typename _Tp> \ struct __has_##_NTYPE<_Tp, __void_t<typename _Tp::_NTYPE>> \ : true_type \ { }; template <typename _Tp> struct __is_swappable; template <typename _Tp> struct __is_nothrow_swappable; template<typename... _Elements> class tuple; template<typename> struct __is_tuple_like_impl : false_type { }; template<typename... _Tps> struct __is_tuple_like_impl<tuple<_Tps...>> : true_type { }; // Internal type trait that allows us to sfinae-protect tuple_cat. template<typename _Tp> struct __is_tuple_like : public __is_tuple_like_impl<typename remove_cv< typename remove_reference<_Tp>::type>::type>::type { }; template<typename _Tp> inline typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>, is_move_constructible<_Tp>, is_move_assignable<_Tp>>::value>::type swap(_Tp&, _Tp&) noexcept(__and_<is_nothrow_move_constructible<_Tp>, is_nothrow_move_assignable<_Tp>>::value); template<typename _Tp, size_t _Nm> inline typename enable_if<__is_swappable<_Tp>::value>::type swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm]) noexcept(__is_nothrow_swappable<_Tp>::value); namespace __swappable_details { using std::swap; struct __do_is_swappable_impl { template<typename _Tp, typename = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))> static true_type __test(int); template<typename> static false_type __test(...); }; struct __do_is_nothrow_swappable_impl { template<typename _Tp> static __bool_constant< noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>())) > __test(int); template<typename> static false_type __test(...); }; } // namespace __swappable_details template<typename _Tp> struct __is_swappable_impl : public __swappable_details::__do_is_swappable_impl { typedef decltype(__test<_Tp>(0)) type; }; template<typename _Tp> struct __is_nothrow_swappable_impl : public __swappable_details::__do_is_nothrow_swappable_impl { typedef decltype(__test<_Tp>(0)) type; }; template<typename _Tp> struct __is_swappable : public __is_swappable_impl<_Tp>::type { }; template<typename _Tp> struct __is_nothrow_swappable : public __is_nothrow_swappable_impl<_Tp>::type { }; #if __cplusplus > 201402L \|\| !defined(__STRICT_ANSI__) // c++1z or gnu++11 #define __cpp_lib_is_swappable 201603 /// Metafunctions used for detecting swappable types: p0185r1 /// is_swappable template<typename _Tp> struct is_swappable : public __is_swappable_impl<_Tp>::type { }; /// is_nothrow_swappable template<typename _Tp> struct is_nothrow_swappable : public __is_nothrow_swappable_impl<_Tp>::type { }; #if __cplusplus >= 201402L /// is_swappable_v template<typename _Tp> _GLIBCXX17_INLINE constexpr bool is_swappable_v = is_swappable<_Tp>::value; /// is_nothrow_swappable_v template<typename _Tp> _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_v = is_nothrow_swappable<_Tp>::value; #endif // __cplusplus >= 201402L namespace __swappable_with_details { using std::swap; struct __do_is_swappable_with_impl { template<typename _Tp, typename _Up, typename = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())), typename = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))> static true_type __test(int); template<typename, typename> static false_type __test(...); }; struct __do_is_nothrow_swappable_with_impl { template<typename _Tp, typename _Up> static __bool_constant< noexcept(swap(std::declval<_Tp>(), std::declval<_Up>())) && noexcept(swap(std::declval<_Up>(), std::declval<_Tp>())) > __test(int); template<typename, typename> static false_type __test(...); }; } // namespace __swappable_with_details template<typename _Tp, typename _Up> struct __is_swappable_with_impl : public __swappable_with_details::__do_is_swappable_with_impl { typedef decltype(__test<_Tp, _Up>(0)) type; }; // Optimization for the homogenous lvalue case, not required: template<typename _Tp> struct __is_swappable_with_impl<_Tp&, _Tp&> : public __swappable_details::__do_is_swappable_impl { typedef decltype(__test<_Tp&>(0)) type; }; template<typename _Tp, typename _Up> struct __is_nothrow_swappable_with_impl : public __swappable_with_details::__do_is_nothrow_swappable_with_impl { typedef decltype(__test<_Tp, _Up>(0)) type; }; // Optimization for the homogenous lvalue case, not required: template<typename _Tp> struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&> : public __swappable_details::__do_is_nothrow_swappable_impl { typedef decltype(__test<_Tp&>(0)) type; }; /// is_swappable_with template<typename _Tp, typename _Up> struct is_swappable_with : public __is_swappable_with_impl<_Tp, _Up>::type { }; /// is_nothrow_swappable_with template<typename _Tp, typename _Up> struct is_nothrow_swappable_with : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type { }; #if __cplusplus >= 201402L /// is_swappable_with_v template<typename _Tp, typename _Up> _GLIBCXX17_INLINE constexpr bool is_swappable_with_v = is_swappable_with<_Tp, _Up>::value; /// is_nothrow_swappable_with_v template<typename _Tp, typename _Up> _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_with_v = is_nothrow_swappable_with<_Tp, _Up>::value; #endif // __cplusplus >= 201402L #endif// c++1z or gnu++11 // __is_invocable (std::is_invocable for C++11) template<typename _Result, typename _Ret, typename = void> struct __is_invocable_impl : false_type { }; template<typename _Result, typename _Ret> struct __is_invocable_impl<_Result, _Ret, __void_t<typename _Result::type>> : __or_<is_void<_Ret>, is_convertible<typename _Result::type, _Ret>>::type { }; template<typename _Fn, typename... _ArgTypes> struct __is_invocable : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type { }; template<typename _Fn, typename _Tp, typename... _Args> constexpr bool __call_is_nt(__invoke_memfun_ref) { using _Up = typename __inv_unwrap<_Tp>::type; return noexcept((std::declval<_Up>().std::declval<_Fn>())( std::declval<_Args>()...)); } template<typename _Fn, typename _Tp, typename... _Args> constexpr bool __call_is_nt(__invoke_memfun_deref) { return noexcept(((std::declval<_Tp>()).std::declval<_Fn>())( std::declval<_Args>()...)); } template<typename _Fn, typename _Tp> constexpr bool __call_is_nt(__invoke_memobj_ref) { using _Up = typename __inv_unwrap<_Tp>::type; return noexcept(std::declval<_Up>().std::declval<_Fn>()); } template<typename _Fn, typename _Tp> constexpr bool __call_is_nt(__invoke_memobj_deref) { return noexcept((std::declval<_Tp>()).*std::declval<_Fn>()); } template<typename _Fn, typename... _Args> constexpr bool __call_is_nt(__invoke_other) { return noexcept(std::declval<_Fn>()(std::declval<_Args>()...)); } template<typename _Result, typename _Fn, typename... _Args> struct __call_is_nothrow : __bool_constant< std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{}) > { }; template<typename _Fn, typename... _Args> using __call_is_nothrow_ = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>; // __is_nothrow_invocable (std::is_nothrow_invocable for C++11) template<typename _Fn, typename... _Args> struct __is_nothrow_invocable : __and_<__is_invocable<_Fn, _Args...>, __call_is_nothrow_<_Fn, _Args...>>::type { }; struct __nonesuch { __nonesuch() = delete; ~__nonesuch() = delete; __nonesuch(__nonesuch const&) = delete; void operator=(__nonesuch const&) = delete; }; #if __cplusplus >= 201703L # define __cpp_lib_is_invocable 201703 /// std::invoke_result template<typename _Functor, typename... _ArgTypes> struct invoke_result : public __invoke_result<_Functor, _ArgTypes...> { }; /// std::invoke_result_t template<typename _Fn, typename... _Args> using invoke_result_t = typename invoke_result<_Fn, _Args...>::type; /// std::is_invocable template<typename _Fn, typename... _ArgTypes> struct is_invocable : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type { }; /// std::is_invocable_r template<typename _Ret, typename _Fn, typename... _ArgTypes> struct is_invocable_r : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type { }; /// std::is_nothrow_invocable template<typename _Fn, typename... _ArgTypes> struct is_nothrow_invocable : __and_<__is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>, __call_is_nothrow_<_Fn, _ArgTypes...>>::type { }; template<typename _Result, typename _Ret, typename = void> struct __is_nt_invocable_impl : false_type { }; template<typename _Result, typename _Ret> struct __is_nt_invocable_impl<_Result, _Ret, __void_t<typename _Result::type>> : __or_<is_void<_Ret>, __and_<is_convertible<typename _Result::type, _Ret>, is_nothrow_constructible<_Ret, typename _Result::type>>> { }; /// std::is_nothrow_invocable_r template<typename _Ret, typename _Fn, typename... _ArgTypes> struct is_nothrow_invocable_r : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>, __call_is_nothrow_<_Fn, _ArgTypes...>>::type { }; /// std::is_invocable_v template<typename _Fn, typename... _Args> inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value; /// std::is_nothrow_invocable_v template<typename _Fn, typename... _Args> inline constexpr bool is_nothrow_invocable_v = is_nothrow_invocable<_Fn, _Args...>::value; /// std::is_invocable_r_v template<typename _Fn, typename... _Args> inline constexpr bool is_invocable_r_v = is_invocable_r<_Fn, _Args...>::value; /// std::is_nothrow_invocable_r_v template<typename _Fn, typename... _Args> inline constexpr bool is_nothrow_invocable_r_v = is_nothrow_invocable_r<_Fn, _Args...>::value; #endif // C++17 #if __cplusplus >= 201703L # define __cpp_lib_type_trait_variable_templates 201510L template <typename _Tp> inline constexpr bool is_void_v = is_void<_Tp>::value; template <typename _Tp> inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value; template <typename _Tp> inline constexpr bool is_integral_v = is_integral<_Tp>::value; template <typename _Tp> inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value; template <typename _Tp> inline constexpr bool is_array_v = is_array<_Tp>::value; template <typename _Tp> inline constexpr bool is_pointer_v = is_pointer<_Tp>::value; template <typename _Tp> inline constexpr bool is_lvalue_reference_v = is_lvalue_reference<_Tp>::value; template <typename _Tp> inline constexpr bool is_rvalue_reference_v = is_rvalue_reference<_Tp>::value; template <typename _Tp> inline constexpr bool is_member_object_pointer_v = is_member_object_pointer<_Tp>::value; template <typename _Tp> inline constexpr bool is_member_function_pointer_v = is_member_function_pointer<_Tp>::value; template <typename _Tp> inline constexpr bool is_enum_v = is_enum<_Tp>::value; template <typename _Tp> inline constexpr bool is_union_v = is_union<_Tp>::value; template <typename _Tp> inline constexpr bool is_class_v = is_class<_Tp>::value; template <typename _Tp> inline constexpr bool is_function_v = is_function<_Tp>::value; template <typename _Tp> inline constexpr bool is_reference_v = is_reference<_Tp>::value; template <typename _Tp> inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value; template <typename _Tp> inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value; template <typename _Tp> inline constexpr bool is_object_v = is_object<_Tp>::value; template <typename _Tp> inline constexpr bool is_scalar_v = is_scalar<_Tp>::value; template <typename _Tp> inline constexpr bool is_compound_v = is_compound<_Tp>::value; template <typename _Tp> inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value; template <typename _Tp> inline constexpr bool is_const_v = is_const<_Tp>::value; template <typename _Tp> inline constexpr bool is_volatile_v = is_volatile<_Tp>::value; template <typename _Tp> inline constexpr bool is_trivial_v = is_trivial<_Tp>::value; template <typename _Tp> inline constexpr bool is_trivially_copyable_v = is_trivially_copyable<_Tp>::value; template <typename _Tp> inline constexpr bool is_standard_layout_v = is_standard_layout<_Tp>::value; template <typename _Tp> inline constexpr bool is_pod_v = is_pod<_Tp>::value; template <typename _Tp> inline constexpr bool is_literal_type_v = is_literal_type<_Tp>::value; template <typename _Tp> inline constexpr bool is_empty_v = is_empty<_Tp>::value; template <typename _Tp> inline constexpr bool is_polymorphic_v = is_polymorphic<_Tp>::value; template <typename _Tp> inline constexpr bool is_abstract_v = is_abstract<_Tp>::value; template <typename _Tp> inline constexpr bool is_final_v = is_final<_Tp>::value; template <typename _Tp> inline constexpr bool is_signed_v = is_signed<_Tp>::value; template <typename _Tp> inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value; template <typename _Tp, typename... _Args> inline constexpr bool is_constructible_v = is_constructible<_Tp, _Args...>::value; template <typename _Tp> inline constexpr bool is_default_constructible_v = is_default_constructible<_Tp>::value; template <typename _Tp> inline constexpr bool is_copy_constructible_v = is_copy_constructible<_Tp>::value; template <typename _Tp> inline constexpr bool is_move_constructible_v = is_move_constructible<_Tp>::value; template <typename _Tp, typename _Up> inline constexpr bool is_assignable_v = is_assignable<_Tp, _Up>::value; template <typename _Tp> inline constexpr bool is_copy_assignable_v = is_copy_assignable<_Tp>::value; template <typename _Tp> inline constexpr bool is_move_assignable_v = is_move_assignable<_Tp>::value; template <typename _Tp> inline constexpr bool is_destructible_v = is_destructible<_Tp>::value; template <typename _Tp, typename... _Args> inline constexpr bool is_trivially_constructible_v = is_trivially_constructible<_Tp, _Args...>::value; template <typename _Tp> inline constexpr bool is_trivially_default_constructible_v = is_trivially_default_constructible<_Tp>::value; template <typename _Tp> inline constexpr bool is_trivially_copy_constructible_v = is_trivially_copy_constructible<_Tp>::value; template <typename _Tp> inline constexpr bool is_trivially_move_constructible_v = is_trivially_move_constructible<_Tp>::value; template <typename _Tp, typename _Up> inline constexpr bool is_trivially_assignable_v = is_trivially_assignable<_Tp, _Up>::value; template <typename _Tp> inline constexpr bool is_trivially_copy_assignable_v = is_trivially_copy_assignable<_Tp>::value; template <typename _Tp> inline constexpr bool is_trivially_move_assignable_v = is_trivially_move_assignable<_Tp>::value; template <typename _Tp> inline constexpr bool is_trivially_destructible_v = is_trivially_destructible<_Tp>::value; template <typename _Tp, typename... _Args> inline constexpr bool is_nothrow_constructible_v = is_nothrow_constructible<_Tp, _Args...>::value; template <typename _Tp> inline constexpr bool is_nothrow_default_constructible_v = is_nothrow_default_constructible<_Tp>::value; template <typename _Tp> inline constexpr bool is_nothrow_copy_constructible_v = is_nothrow_copy_constructible<_Tp>::value; template <typename _Tp> inline constexpr bool is_nothrow_move_constructible_v = is_nothrow_move_constructible<_Tp>::value; template <typename _Tp, typename _Up> inline constexpr bool is_nothrow_assignable_v = is_nothrow_assignable<_Tp, _Up>::value; template <typename _Tp> inline constexpr bool is_nothrow_copy_assignable_v = is_nothrow_copy_assignable<_Tp>::value; template <typename _Tp> inline constexpr bool is_nothrow_move_assignable_v = is_nothrow_move_assignable<_Tp>::value; template <typename _Tp> inline constexpr bool is_nothrow_destructible_v = is_nothrow_destructible<_Tp>::value; template <typename _Tp> inline constexpr bool has_virtual_destructor_v = has_virtual_destructor<_Tp>::value; template <typename _Tp> inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value; template <typename _Tp> inline constexpr size_t rank_v = rank<_Tp>::value; template <typename _Tp, unsigned _Idx = 0> inline constexpr size_t extent_v = extent<_Tp, _Idx>::value; template <typename _Tp, typename _Up> inline constexpr bool is_same_v = is_same<_Tp, _Up>::value; template <typename _Base, typename _Derived> inline constexpr bool is_base_of_v = is_base_of<_Base, _Derived>::value; template <typename _From, typename _To> inline constexpr bool is_convertible_v = is_convertible<_From, _To>::value; #if __GNUC__ >= 7 # define _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP 1 #elif defined(__is_identifier) // For non-GNU compilers: # if ! __is_identifier(__has_unique_object_representations) # define _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP 1 # endif #endif #ifdef _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP # define __cpp_lib_has_unique_object_representations 201606 /// has_unique_object_representations template<typename _Tp> struct has_unique_object_representations : bool_constant<__has_unique_object_representations( remove_cv_t<remove_all_extents_t<_Tp>> )> { }; template<typename _Tp> inline constexpr bool has_unique_object_representations_v = has_unique_object_representations<_Tp>::value; #endif #undef _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP #if __GNUC__ >= 7 # define _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE 1 #elif defined(__is_identifier) // For non-GNU compilers: # if ! __is_identifier(__is_aggregate) # define _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE 1 # endif #endif #ifdef _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE #define __cpp_lib_is_aggregate 201703 /// is_aggregate template<typename _Tp> struct is_aggregate : bool_constant<__is_aggregate(remove_cv_t<_Tp>)> { }; /// is_aggregate_v template<typename _Tp> inline constexpr bool is_aggregate_v = is_aggregate<_Tp>::value; #endif #undef _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE #endif // C++17 #if __cplusplus > 201703L /// Byte order enum class endian { little = __ORDER_LITTLE_ENDIAN__, big = __ORDER_BIG_ENDIAN__, native = __BYTE_ORDER__ }; #endif // C++2a _GLIBCXX_END_NAMESPACE_VERSION } // namespace std #endif // C++11 #endif // _GLIBCXX_TYPE_TRAITS Back

Edit File : type_traits | Size : 83.86 KB

// C++11 <type_traits> -*- C++ -*-

// Copyright (C) 2007-2018 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/>.

/** @file include/type_traits
 *  This is a Standard C++ Library header.
 */

#ifndef _GLIBCXX_TYPE_TRAITS
#define _GLIBCXX_TYPE_TRAITS 1

#pragma GCC system_header

#if __cplusplus < 201103L
# include <bits/c++0x_warning.h>
#else

#include <bits/c++config.h>

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

/**
   * @defgroup metaprogramming Metaprogramming
   * @ingroup utilities
   *
   * Template utilities for compile-time introspection and modification,
   * including type classification traits, type property inspection traits
   * and type transformation traits.
   *
   * @{
   */

/// integral_constant
  template<typename _Tp, _Tp __v>
    struct integral_constant
    {
      static constexpr _Tp                  value = __v;
      typedef _Tp                           value_type;
      typedef integral_constant<_Tp, __v>   type;
      constexpr operator value_type() const noexcept { return value; }
#if __cplusplus > 201103L

#define __cpp_lib_integral_constant_callable 201304

constexpr value_type operator()() const noexcept { return value; }
#endif
    };

template<typename _Tp, _Tp __v>
    constexpr _Tp integral_constant<_Tp, __v>::value;

/// The type used as a compile-time boolean with true value.
  typedef integral_constant<bool, true>     true_type;

/// The type used as a compile-time boolean with false value.
  typedef integral_constant<bool, false>    false_type;

template<bool __v>
    using __bool_constant = integral_constant<bool, __v>;

#if __cplusplus > 201402L
# define __cpp_lib_bool_constant 201505
  template<bool __v>
    using bool_constant = integral_constant<bool, __v>;
#endif

// Meta programming helper types.

template<bool, typename, typename>
    struct conditional;

template<typename...>
    struct __or_;

template<>
    struct __or_<>
    : public false_type
    { };

template<typename _B1>
    struct __or_<_B1>
    : public _B1
    { };

template<typename _B1, typename _B2>
    struct __or_<_B1, _B2>
    : public conditional<_B1::value, _B1, _B2>::type
    { };

template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __or_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, _B1, __or_<_B2, _B3, _Bn...>>::type
    { };

template<typename...>
    struct __and_;

template<>
    struct __and_<>
    : public true_type
    { };

template<typename _B1>
    struct __and_<_B1>
    : public _B1
    { };

template<typename _B1, typename _B2>
    struct __and_<_B1, _B2>
    : public conditional<_B1::value, _B2, _B1>::type
    { };

template<typename _B1, typename _B2, typename _B3, typename... _Bn>
    struct __and_<_B1, _B2, _B3, _Bn...>
    : public conditional<_B1::value, __and_<_B2, _B3, _Bn...>, _B1>::type
    { };

template<typename _Pp>
    struct __not_
    : public __bool_constant<!bool(_Pp::value)>
    { };

#if __cplusplus >= 201703L

#define __cpp_lib_logical_traits 201510

template<typename... _Bn>
    struct conjunction
    : __and_<_Bn...>
    { };

template<typename... _Bn>
    struct disjunction
    : __or_<_Bn...>
    { };

template<typename _Pp>
    struct negation
    : __not_<_Pp>
    { };

template<typename... _Bn>
    inline constexpr bool conjunction_v = conjunction<_Bn...>::value;

template<typename... _Bn>
    inline constexpr bool disjunction_v = disjunction<_Bn...>::value;

template<typename _Pp>
    inline constexpr bool negation_v = negation<_Pp>::value;

#endif // C++17

// For several sfinae-friendly trait implementations we transport both the
  // result information (as the member type) and the failure information (no
  // member type). This is very similar to std::enable_if, but we cannot use
  // them, because we need to derive from them as an implementation detail.

template<typename _Tp>
    struct __success_type
    { typedef _Tp type; };

struct __failure_type
  { };

// Primary type categories.

template<typename>
    struct remove_cv;

template<typename>
    struct __is_void_helper
    : public false_type { };

template<>
    struct __is_void_helper<void>
    : public true_type { };

/// is_void
  template<typename _Tp>
    struct is_void
    : public __is_void_helper<typename remove_cv<_Tp>::type>::type
    { };

template<typename>
    struct __is_integral_helper
    : public false_type { };

template<>
    struct __is_integral_helper<bool>
    : public true_type { };

template<>
    struct __is_integral_helper<char>
    : public true_type { };

template<>
    struct __is_integral_helper<signed char>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned char>
    : public true_type { };

#ifdef _GLIBCXX_USE_WCHAR_T
  template<>
    struct __is_integral_helper<wchar_t>
    : public true_type { };
#endif

template<>
    struct __is_integral_helper<char16_t>
    : public true_type { };

template<>
    struct __is_integral_helper<char32_t>
    : public true_type { };

template<>
    struct __is_integral_helper<short>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned short>
    : public true_type { };

template<>
    struct __is_integral_helper<int>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned int>
    : public true_type { };

template<>
    struct __is_integral_helper<long>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned long>
    : public true_type { };

template<>
    struct __is_integral_helper<long long>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned long long>
    : public true_type { };

// Conditionalizing on __STRICT_ANSI__ here will break any port that
  // uses one of these types for size_t.
#if defined(__GLIBCXX_TYPE_INT_N_0)
  template<>
    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_0>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_0>
    : public true_type { };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_1)
  template<>
    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_1>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_1>
    : public true_type { };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_2)
  template<>
    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_2>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_2>
    : public true_type { };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_3)
  template<>
    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_3>
    : public true_type { };

template<>
    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_3>
    : public true_type { };
#endif

/// is_integral
  template<typename _Tp>
    struct is_integral
    : public __is_integral_helper<typename remove_cv<_Tp>::type>::type
    { };

template<typename>
    struct __is_floating_point_helper
    : public false_type { };

template<>
    struct __is_floating_point_helper<float>
    : public true_type { };

template<>
    struct __is_floating_point_helper<double>
    : public true_type { };

template<>
    struct __is_floating_point_helper<long double>
    : public true_type { };

#if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128)
  template<>
    struct __is_floating_point_helper<__float128>
    : public true_type { };
#endif

/// is_floating_point
  template<typename _Tp>
    struct is_floating_point
    : public __is_floating_point_helper<typename remove_cv<_Tp>::type>::type
    { };

/// is_array
  template<typename>
    struct is_array
    : public false_type { };

template<typename _Tp, std::size_t _Size>
    struct is_array<_Tp[_Size]>
    : public true_type { };

template<typename _Tp>
    struct is_array<_Tp[]>
    : public true_type { };

template<typename>
    struct __is_pointer_helper
    : public false_type { };

template<typename _Tp>
    struct __is_pointer_helper<_Tp*>
    : public true_type { };

/// is_pointer
  template<typename _Tp>
    struct is_pointer
    : public __is_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };

/// is_lvalue_reference
  template<typename>
    struct is_lvalue_reference
    : public false_type { };

template<typename _Tp>
    struct is_lvalue_reference<_Tp&>
    : public true_type { };

/// is_rvalue_reference
  template<typename>
    struct is_rvalue_reference
    : public false_type { };

template<typename _Tp>
    struct is_rvalue_reference<_Tp&&>
    : public true_type { };

template<typename>
    struct is_function;

template<typename>
    struct __is_member_object_pointer_helper
    : public false_type { };

template<typename _Tp, typename _Cp>
    struct __is_member_object_pointer_helper<_Tp _Cp::*>
    : public integral_constant<bool, !is_function<_Tp>::value> { };

/// is_member_object_pointer
  template<typename _Tp>
    struct is_member_object_pointer
    : public __is_member_object_pointer_helper<
				typename remove_cv<_Tp>::type>::type
    { };

template<typename>
    struct __is_member_function_pointer_helper
    : public false_type { };

template<typename _Tp, typename _Cp>
    struct __is_member_function_pointer_helper<_Tp _Cp::*>
    : public integral_constant<bool, is_function<_Tp>::value> { };

/// is_member_function_pointer
  template<typename _Tp>
    struct is_member_function_pointer
    : public __is_member_function_pointer_helper<
				typename remove_cv<_Tp>::type>::type
    { };

/// is_enum
  template<typename _Tp>
    struct is_enum
    : public integral_constant<bool, __is_enum(_Tp)>
    { };

/// is_union
  template<typename _Tp>
    struct is_union
    : public integral_constant<bool, __is_union(_Tp)>
    { };

/// is_class
  template<typename _Tp>
    struct is_class
    : public integral_constant<bool, __is_class(_Tp)>
    { };

/// is_function
  template<typename>
    struct is_function
    : public false_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) const _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) const & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) const && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) const _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) const & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) const && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) volatile _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) volatile & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) volatile && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) volatile _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) volatile & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) volatile && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) const volatile _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) const volatile & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes...) const volatile && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) const volatile _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) const volatile & _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
    struct is_function<_Res(_ArgTypes......) const volatile && _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type { };

#define __cpp_lib_is_null_pointer 201309

template<typename>
    struct __is_null_pointer_helper
    : public false_type { };

template<>
    struct __is_null_pointer_helper<std::nullptr_t>
    : public true_type { };

/// is_null_pointer (LWG 2247).
  template<typename _Tp>
    struct is_null_pointer
    : public __is_null_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };

/// __is_nullptr_t (extension).
  template<typename _Tp>
    struct __is_nullptr_t
    : public is_null_pointer<_Tp>
    { };

// Composite type categories.

/// is_reference
  template<typename _Tp>
    struct is_reference
    : public __or_<is_lvalue_reference<_Tp>,
                   is_rvalue_reference<_Tp>>::type
    { };

/// is_arithmetic
  template<typename _Tp>
    struct is_arithmetic
    : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
    { };

/// is_fundamental
  template<typename _Tp>
    struct is_fundamental
    : public __or_<is_arithmetic<_Tp>, is_void<_Tp>,
		   is_null_pointer<_Tp>>::type
    { };

/// is_object
  template<typename _Tp>
    struct is_object
    : public __not_<__or_<is_function<_Tp>, is_reference<_Tp>,
                          is_void<_Tp>>>::type
    { };

template<typename>
    struct is_member_pointer;

/// is_scalar
  template<typename _Tp>
    struct is_scalar
    : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
                   is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type
    { };

/// is_compound
  template<typename _Tp>
    struct is_compound
    : public integral_constant<bool, !is_fundamental<_Tp>::value> { };

template<typename _Tp>
    struct __is_member_pointer_helper
    : public false_type { };

template<typename _Tp, typename _Cp>
    struct __is_member_pointer_helper<_Tp _Cp::*>
    : public true_type { };

/// is_member_pointer
  template<typename _Tp>
    struct is_member_pointer
    : public __is_member_pointer_helper<typename remove_cv<_Tp>::type>::type
    { };

// Utility to detect referenceable types ([defns.referenceable]).

template<typename _Tp>
    struct __is_referenceable
    : public __or_<is_object<_Tp>, is_reference<_Tp>>::type
    { };

template<typename _Res, typename... _Args _GLIBCXX_NOEXCEPT_PARM>
    struct __is_referenceable<_Res(_Args...) _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type
    { };

template<typename _Res, typename... _Args _GLIBCXX_NOEXCEPT_PARM>
    struct __is_referenceable<_Res(_Args......) _GLIBCXX_NOEXCEPT_QUAL>
    : public true_type
    { };

// Type properties.

/// is_const
  template<typename>
    struct is_const
    : public false_type { };

template<typename _Tp>
    struct is_const<_Tp const>
    : public true_type { };

/// is_volatile
  template<typename>
    struct is_volatile
    : public false_type { };

template<typename _Tp>
    struct is_volatile<_Tp volatile>
    : public true_type { };

/// is_trivial
  template<typename _Tp>
    struct is_trivial
    : public integral_constant<bool, __is_trivial(_Tp)>
    { };

// is_trivially_copyable
  template<typename _Tp>
    struct is_trivially_copyable
    : public integral_constant<bool, __is_trivially_copyable(_Tp)>
    { };

/// is_standard_layout
  template<typename _Tp>
    struct is_standard_layout
    : public integral_constant<bool, __is_standard_layout(_Tp)>
    { };

/// is_pod
  // Could use is_standard_layout && is_trivial instead of the builtin.
  template<typename _Tp>
    struct is_pod
    : public integral_constant<bool, __is_pod(_Tp)>
    { };

/// is_literal_type
  template<typename _Tp>
    struct is_literal_type
    : public integral_constant<bool, __is_literal_type(_Tp)>
    { };

/// is_empty
  template<typename _Tp>
    struct is_empty
    : public integral_constant<bool, __is_empty(_Tp)>
    { };

/// is_polymorphic
  template<typename _Tp>
    struct is_polymorphic
    : public integral_constant<bool, __is_polymorphic(_Tp)>
    { };

#if __cplusplus >= 201402L
#define __cpp_lib_is_final 201402L
  /// is_final
  template<typename _Tp>
    struct is_final
    : public integral_constant<bool, __is_final(_Tp)>
    { };
#endif

/// is_abstract
  template<typename _Tp>
    struct is_abstract
    : public integral_constant<bool, __is_abstract(_Tp)>
    { };

template<typename _Tp,
	   bool = is_arithmetic<_Tp>::value>
    struct __is_signed_helper
    : public false_type { };

template<typename _Tp>
    struct __is_signed_helper<_Tp, true>
    : public integral_constant<bool, _Tp(-1) < _Tp(0)>
    { };

/// is_signed
  template<typename _Tp>
    struct is_signed
    : public __is_signed_helper<_Tp>::type
    { };

/// is_unsigned
  template<typename _Tp>
    struct is_unsigned
    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>
    { };

// Destructible and constructible type properties.

/**
   *  @brief  Utility to simplify expressions used in unevaluated operands
   *  @ingroup utilities
   */

template<typename _Tp, typename _Up = _Tp&&>
    _Up
    __declval(int);

template<typename _Tp>
    _Tp
    __declval(long);

template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0));

template<typename, unsigned = 0>
    struct extent;

template<typename>
    struct remove_all_extents;

template<typename _Tp>
    struct __is_array_known_bounds
    : public integral_constant<bool, (extent<_Tp>::value > 0)>
    { };

template<typename _Tp>
    struct __is_array_unknown_bounds
    : public __and_<is_array<_Tp>, __not_<extent<_Tp>>>
    { };

// In N3290 is_destructible does not say anything about function
  // types and abstract types, see LWG 2049. This implementation
  // describes function types as non-destructible and all complete
  // object types as destructible, iff the explicit destructor
  // call expression is wellformed.
  struct __do_is_destructible_impl
  {
    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
      static true_type __test(int);

template<typename>
      static false_type __test(...);
  };

template<typename _Tp>
    struct __is_destructible_impl
    : public __do_is_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

template<typename _Tp,
           bool = __or_<is_void<_Tp>,
                        __is_array_unknown_bounds<_Tp>,
                        is_function<_Tp>>::value,
           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
    struct __is_destructible_safe;

template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, false>
    : public __is_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

template<typename _Tp>
    struct __is_destructible_safe<_Tp, true, false>
    : public false_type { };

template<typename _Tp>
    struct __is_destructible_safe<_Tp, false, true>
    : public true_type { };

/// is_destructible
  template<typename _Tp>
    struct is_destructible
    : public __is_destructible_safe<_Tp>::type
    { };

// is_nothrow_destructible requires that is_destructible is
  // satisfied as well.  We realize that by mimicing the
  // implementation of is_destructible but refer to noexcept(expr)
  // instead of decltype(expr).
  struct __do_is_nt_destructible_impl
  {
    template<typename _Tp>
      static integral_constant<bool, noexcept(declval<_Tp&>().~_Tp())>
        __test(int);

template<typename>
      static false_type __test(...);
  };

template<typename _Tp>
    struct __is_nt_destructible_impl
    : public __do_is_nt_destructible_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, false>
    : public __is_nt_destructible_impl<typename
               remove_all_extents<_Tp>::type>::type
    { };

template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, true, false>
    : public false_type { };

template<typename _Tp>
    struct __is_nt_destructible_safe<_Tp, false, true>
    : public true_type { };

/// is_nothrow_destructible
  template<typename _Tp>
    struct is_nothrow_destructible
    : public __is_nt_destructible_safe<_Tp>::type
    { };

/// is_constructible
  template<typename _Tp, typename... _Args>
    struct is_constructible
      : public __bool_constant<__is_constructible(_Tp, _Args...)>
    { };

/// is_default_constructible
  template<typename _Tp>
    struct is_default_constructible
    : public is_constructible<_Tp>::type
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_constructible_impl;

template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_copy_constructible_impl<_Tp, true>
    : public is_constructible<_Tp, const _Tp&>
    { };

/// is_copy_constructible
  template<typename _Tp>
    struct is_copy_constructible
    : public __is_copy_constructible_impl<_Tp>
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_constructible_impl;

template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_move_constructible_impl<_Tp, true>
    : public is_constructible<_Tp, _Tp&&>
    { };

/// is_move_constructible
  template<typename _Tp>
    struct is_move_constructible
    : public __is_move_constructible_impl<_Tp>
    { };

template<bool, typename _Tp, typename... _Args>
    struct __is_nt_constructible_impl
    : public false_type
    { };

template<typename _Tp, typename... _Args>
    struct __is_nt_constructible_impl<true, _Tp, _Args...>
    : public __bool_constant<noexcept(_Tp(std::declval<_Args>()...))>
    { };

template<typename _Tp, typename _Arg>
    struct __is_nt_constructible_impl<true, _Tp, _Arg>
    : public __bool_constant<noexcept(static_cast<_Tp>(std::declval<_Arg>()))>
    { };

template<typename _Tp>
    struct __is_nt_constructible_impl<true, _Tp>
    : public __bool_constant<noexcept(_Tp())>
    { };

template<typename _Tp, size_t _Num>
    struct __is_nt_constructible_impl<true, _Tp[_Num]>
    : public __bool_constant<noexcept(typename remove_all_extents<_Tp>::type())>
    { };

template<typename _Tp, typename... _Args>
    using __is_nothrow_constructible_impl
      = __is_nt_constructible_impl<__is_constructible(_Tp, _Args...),
				   _Tp, _Args...>;

/// is_nothrow_constructible
  template<typename _Tp, typename... _Args>
    struct is_nothrow_constructible
    : public __is_nothrow_constructible_impl<_Tp, _Args...>::type
    { };

/// is_nothrow_default_constructible
  template<typename _Tp>
    struct is_nothrow_default_constructible
    : public __is_nothrow_constructible_impl<_Tp>::type
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nothrow_copy_constructible_impl;

template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_nothrow_copy_constructible_impl<_Tp, true>
    : public is_nothrow_constructible<_Tp, const _Tp&>
    { };

/// is_nothrow_copy_constructible
  template<typename _Tp>
    struct is_nothrow_copy_constructible
    : public __is_nothrow_copy_constructible_impl<_Tp>
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nothrow_move_constructible_impl;

template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_nothrow_move_constructible_impl<_Tp, true>
    : public is_nothrow_constructible<_Tp, _Tp&&>
    { };

/// is_nothrow_move_constructible
  template<typename _Tp>
    struct is_nothrow_move_constructible
    : public __is_nothrow_move_constructible_impl<_Tp>
    { };

/// is_assignable
  template<typename _Tp, typename _Up>
    struct is_assignable
      : public __bool_constant<__is_assignable(_Tp, _Up)>
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_copy_assignable_impl;

template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_copy_assignable_impl<_Tp, true>
    : public is_assignable<_Tp&, const _Tp&>
    { };

/// is_copy_assignable
  template<typename _Tp>
    struct is_copy_assignable
    : public __is_copy_assignable_impl<_Tp>
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_move_assignable_impl;

template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_move_assignable_impl<_Tp, true>
    : public is_assignable<_Tp&, _Tp&&>
    { };

/// is_move_assignable
  template<typename _Tp>
    struct is_move_assignable
    : public __is_move_assignable_impl<_Tp>
    { };

template<typename _Tp, typename _Up>
    struct __is_nt_assignable_impl
    : public integral_constant<bool, noexcept(declval<_Tp>() = declval<_Up>())>
    { };

/// is_nothrow_assignable
  template<typename _Tp, typename _Up>
    struct is_nothrow_assignable
    : public __and_<is_assignable<_Tp, _Up>,
		    __is_nt_assignable_impl<_Tp, _Up>>
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nt_copy_assignable_impl;

template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_nt_copy_assignable_impl<_Tp, true>
    : public is_nothrow_assignable<_Tp&, const _Tp&>
    { };

/// is_nothrow_copy_assignable
  template<typename _Tp>
    struct is_nothrow_copy_assignable
    : public __is_nt_copy_assignable_impl<_Tp>
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_nt_move_assignable_impl;

template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_nt_move_assignable_impl<_Tp, true>
    : public is_nothrow_assignable<_Tp&, _Tp&&>
    { };

/// is_nothrow_move_assignable
  template<typename _Tp>
    struct is_nothrow_move_assignable
    : public __is_nt_move_assignable_impl<_Tp>
    { };

/// is_trivially_constructible
  template<typename _Tp, typename... _Args>
    struct is_trivially_constructible
    : public __and_<is_constructible<_Tp, _Args...>, __bool_constant<
		      __is_trivially_constructible(_Tp, _Args...)>>::type
    { };

/// is_trivially_default_constructible
  template<typename _Tp>
    struct is_trivially_default_constructible
    : public is_trivially_constructible<_Tp>::type
    { };

struct __do_is_implicitly_default_constructible_impl
  {
    template <typename _Tp>
    static void __helper(const _Tp&);

template <typename _Tp>
    static true_type __test(const _Tp&,
                            decltype(__helper<const _Tp&>({}))* = 0);

static false_type __test(...);
  };

template<typename _Tp>
    struct __is_implicitly_default_constructible_impl
    : public __do_is_implicitly_default_constructible_impl
    {
      typedef decltype(__test(declval<_Tp>())) type;
    };

template<typename _Tp>
    struct __is_implicitly_default_constructible_safe
    : public __is_implicitly_default_constructible_impl<_Tp>::type
    { };

template <typename _Tp>
    struct __is_implicitly_default_constructible
    : public __and_<is_default_constructible<_Tp>,
		    __is_implicitly_default_constructible_safe<_Tp>>
    { };

/// is_trivially_copy_constructible

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_copy_constructible_impl;

template<typename _Tp>
    struct __is_trivially_copy_constructible_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_trivially_copy_constructible_impl<_Tp, true>
    : public __and_<is_copy_constructible<_Tp>,
		    integral_constant<bool,
			__is_trivially_constructible(_Tp, const _Tp&)>>
    { };

template<typename _Tp>
    struct is_trivially_copy_constructible
    : public __is_trivially_copy_constructible_impl<_Tp>
    { };

/// is_trivially_move_constructible

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_move_constructible_impl;

template<typename _Tp>
    struct __is_trivially_move_constructible_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_trivially_move_constructible_impl<_Tp, true>
    : public __and_<is_move_constructible<_Tp>,
		    integral_constant<bool,
			__is_trivially_constructible(_Tp, _Tp&&)>>
    { };

template<typename _Tp>
    struct is_trivially_move_constructible
    : public __is_trivially_move_constructible_impl<_Tp>
    { };

/// is_trivially_assignable
  template<typename _Tp, typename _Up>
    struct is_trivially_assignable
    : public __bool_constant<__is_trivially_assignable(_Tp, _Up)>
    { };

/// is_trivially_copy_assignable

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_copy_assignable_impl;

template<typename _Tp>
    struct __is_trivially_copy_assignable_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_trivially_copy_assignable_impl<_Tp, true>
    : public __and_<is_copy_assignable<_Tp>,
		    integral_constant<bool,
			__is_trivially_assignable(_Tp&, const _Tp&)>>
    { };

template<typename _Tp>
    struct is_trivially_copy_assignable
    : public __is_trivially_copy_assignable_impl<_Tp>
    { };

/// is_trivially_move_assignable

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __is_trivially_move_assignable_impl;

template<typename _Tp>
    struct __is_trivially_move_assignable_impl<_Tp, false>
    : public false_type { };

template<typename _Tp>
    struct __is_trivially_move_assignable_impl<_Tp, true>
    : public __and_<is_move_assignable<_Tp>,
		    integral_constant<bool,
			__is_trivially_assignable(_Tp&, _Tp&&)>>
    { };

template<typename _Tp>
    struct is_trivially_move_assignable
    : public __is_trivially_move_assignable_impl<_Tp>
    { };

/// is_trivially_destructible
  template<typename _Tp>
    struct is_trivially_destructible
    : public __and_<is_destructible<_Tp>, integral_constant<bool,
			      __has_trivial_destructor(_Tp)>>
    { };

/// has_virtual_destructor
  template<typename _Tp>
    struct has_virtual_destructor
    : public integral_constant<bool, __has_virtual_destructor(_Tp)>
    { };

// type property queries.

/// alignment_of
  template<typename _Tp>
    struct alignment_of
    : public integral_constant<std::size_t, alignof(_Tp)> { };

/// rank
  template<typename>
    struct rank
    : public integral_constant<std::size_t, 0> { };

template<typename _Tp, std::size_t _Size>
    struct rank<_Tp[_Size]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };

template<typename _Tp>
    struct rank<_Tp[]>
    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };

/// extent
  template<typename, unsigned _Uint>
    struct extent
    : public integral_constant<std::size_t, 0> { };

template<typename _Tp, unsigned _Uint, std::size_t _Size>
    struct extent<_Tp[_Size], _Uint>
    : public integral_constant<std::size_t,
			       _Uint == 0 ? _Size : extent<_Tp,
							   _Uint - 1>::value>
    { };

template<typename _Tp, unsigned _Uint>
    struct extent<_Tp[], _Uint>
    : public integral_constant<std::size_t,
			       _Uint == 0 ? 0 : extent<_Tp,
						       _Uint - 1>::value>
    { };

// Type relations.

/// is_same
  template<typename, typename>
    struct is_same
    : public false_type { };

template<typename _Tp>
    struct is_same<_Tp, _Tp>
    : public true_type { };

/// is_base_of
  template<typename _Base, typename _Derived>
    struct is_base_of
    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
    { };

template<typename _From, typename _To,
           bool = __or_<is_void<_From>, is_function<_To>,
                        is_array<_To>>::value>
    struct __is_convertible_helper
    { typedef typename is_void<_To>::type type; };

template<typename _From, typename _To>
    class __is_convertible_helper<_From, _To, false>
    {
       template<typename _To1>
	static void __test_aux(_To1);

template<typename _From1, typename _To1,
	       typename = decltype(__test_aux<_To1>(std::declval<_From1>()))>
	static true_type
	__test(int);

template<typename, typename>
	static false_type
	__test(...);

public:
      typedef decltype(__test<_From, _To>(0)) type;
    };

/// is_convertible
  template<typename _From, typename _To>
    struct is_convertible
    : public __is_convertible_helper<_From, _To>::type
    { };

// Const-volatile modifications.

/// remove_const
  template<typename _Tp>
    struct remove_const
    { typedef _Tp     type; };

template<typename _Tp>
    struct remove_const<_Tp const>
    { typedef _Tp     type; };

/// remove_volatile
  template<typename _Tp>
    struct remove_volatile
    { typedef _Tp     type; };

template<typename _Tp>
    struct remove_volatile<_Tp volatile>
    { typedef _Tp     type; };

/// remove_cv
  template<typename _Tp>
    struct remove_cv
    {
      typedef typename
      remove_const<typename remove_volatile<_Tp>::type>::type     type;
    };

/// add_const
  template<typename _Tp>
    struct add_const
    { typedef _Tp const     type; };

/// add_volatile
  template<typename _Tp>
    struct add_volatile
    { typedef _Tp volatile     type; };

/// add_cv
  template<typename _Tp>
    struct add_cv
    {
      typedef typename
      add_const<typename add_volatile<_Tp>::type>::type     type;
    };

#if __cplusplus > 201103L

#define __cpp_lib_transformation_trait_aliases 201304

/// Alias template for remove_const
  template<typename _Tp>
    using remove_const_t = typename remove_const<_Tp>::type;

/// Alias template for remove_volatile
  template<typename _Tp>
    using remove_volatile_t = typename remove_volatile<_Tp>::type;

/// Alias template for remove_cv
  template<typename _Tp>
    using remove_cv_t = typename remove_cv<_Tp>::type;

/// Alias template for add_const
  template<typename _Tp>
    using add_const_t = typename add_const<_Tp>::type;

/// Alias template for add_volatile
  template<typename _Tp>
    using add_volatile_t = typename add_volatile<_Tp>::type;

/// Alias template for add_cv
  template<typename _Tp>
    using add_cv_t = typename add_cv<_Tp>::type;
#endif

// Reference transformations.

/// remove_reference
  template<typename _Tp>
    struct remove_reference
    { typedef _Tp   type; };

template<typename _Tp>
    struct remove_reference<_Tp&>
    { typedef _Tp   type; };

template<typename _Tp>
    struct remove_reference<_Tp&&>
    { typedef _Tp   type; };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_lvalue_reference_helper
    { typedef _Tp   type; };

template<typename _Tp>
    struct __add_lvalue_reference_helper<_Tp, true>
    { typedef _Tp&   type; };

/// add_lvalue_reference
  template<typename _Tp>
    struct add_lvalue_reference
    : public __add_lvalue_reference_helper<_Tp>
    { };

template<typename _Tp, bool = __is_referenceable<_Tp>::value>
    struct __add_rvalue_reference_helper
    { typedef _Tp   type; };

template<typename _Tp>
    struct __add_rvalue_reference_helper<_Tp, true>
    { typedef _Tp&&   type; };

/// add_rvalue_reference
  template<typename _Tp>
    struct add_rvalue_reference
    : public __add_rvalue_reference_helper<_Tp>
    { };

#if __cplusplus > 201103L
  /// Alias template for remove_reference
  template<typename _Tp>
    using remove_reference_t = typename remove_reference<_Tp>::type;

/// Alias template for add_lvalue_reference
  template<typename _Tp>
    using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type;

/// Alias template for add_rvalue_reference
  template<typename _Tp>
    using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type;
#endif

// Sign modifications.

// Utility for constructing identically cv-qualified types.
  template<typename _Unqualified, bool _IsConst, bool _IsVol>
    struct __cv_selector;

template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, false>
    { typedef _Unqualified __type; };

template<typename _Unqualified>
    struct __cv_selector<_Unqualified, false, true>
    { typedef volatile _Unqualified __type; };

template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, false>
    { typedef const _Unqualified __type; };

template<typename _Unqualified>
    struct __cv_selector<_Unqualified, true, true>
    { typedef const volatile _Unqualified __type; };

template<typename _Qualified, typename _Unqualified,
	   bool _IsConst = is_const<_Qualified>::value,
	   bool _IsVol = is_volatile<_Qualified>::value>
    class __match_cv_qualifiers
    {
      typedef __cv_selector<_Unqualified, _IsConst, _IsVol> __match;

public:
      typedef typename __match::__type __type;
    };

// Utility for finding the unsigned versions of signed integral types.
  template<typename _Tp>
    struct __make_unsigned
    { typedef _Tp __type; };

template<>
    struct __make_unsigned<char>
    { typedef unsigned char __type; };

template<>
    struct __make_unsigned<signed char>
    { typedef unsigned char __type; };

template<>
    struct __make_unsigned<short>
    { typedef unsigned short __type; };

template<>
    struct __make_unsigned<int>
    { typedef unsigned int __type; };

template<>
    struct __make_unsigned<long>
    { typedef unsigned long __type; };

template<>
    struct __make_unsigned<long long>
    { typedef unsigned long long __type; };

#if defined(__GLIBCXX_TYPE_INT_N_0)
  template<>
    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_0>
    { typedef unsigned __GLIBCXX_TYPE_INT_N_0 __type; };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_1)
  template<>
    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_1>
    { typedef unsigned __GLIBCXX_TYPE_INT_N_1 __type; };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_2)
  template<>
    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_2>
    { typedef unsigned __GLIBCXX_TYPE_INT_N_2 __type; };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_3)
  template<>
    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_3>
    { typedef unsigned __GLIBCXX_TYPE_INT_N_3 __type; };
#endif

// Select between integral and enum: not possible to be both.
  template<typename _Tp,
	   bool _IsInt = is_integral<_Tp>::value,
	   bool _IsEnum = is_enum<_Tp>::value>
    class __make_unsigned_selector;

template<typename _Tp>
    class __make_unsigned_selector<_Tp, true, false>
    {
      typedef __make_unsigned<typename remove_cv<_Tp>::type> __unsignedt;
      typedef typename __unsignedt::__type __unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;

public:
      typedef typename __cv_unsigned::__type __type;
    };

template<typename _Tp>
    class __make_unsigned_selector<_Tp, false, true>
    {
      // With -fshort-enums, an enum may be as small as a char.
      typedef unsigned char __smallest;
      static const bool __b0 = sizeof(_Tp) <= sizeof(__smallest);
      static const bool __b1 = sizeof(_Tp) <= sizeof(unsigned short);
      static const bool __b2 = sizeof(_Tp) <= sizeof(unsigned int);
      static const bool __b3 = sizeof(_Tp) <= sizeof(unsigned long);
      typedef conditional<__b3, unsigned long, unsigned long long> __cond3;
      typedef typename __cond3::type __cond3_type;
      typedef conditional<__b2, unsigned int, __cond3_type> __cond2;
      typedef typename __cond2::type __cond2_type;
      typedef conditional<__b1, unsigned short, __cond2_type> __cond1;
      typedef typename __cond1::type __cond1_type;

typedef typename conditional<__b0, __smallest, __cond1_type>::type
	__unsigned_type;
      typedef __match_cv_qualifiers<_Tp, __unsigned_type> __cv_unsigned;

public:
      typedef typename __cv_unsigned::__type __type;
    };

// Given an integral/enum type, return the corresponding unsigned
  // integer type.
  // Primary template.
  /// make_unsigned
  template<typename _Tp>
    struct make_unsigned
    { typedef typename __make_unsigned_selector<_Tp>::__type type; };

// Integral, but don't define.
  template<>
    struct make_unsigned<bool>;

// Utility for finding the signed versions of unsigned integral types.
  template<typename _Tp>
    struct __make_signed
    { typedef _Tp __type; };

template<>
    struct __make_signed<char>
    { typedef signed char __type; };

template<>
    struct __make_signed<unsigned char>
    { typedef signed char __type; };

template<>
    struct __make_signed<unsigned short>
    { typedef signed short __type; };

template<>
    struct __make_signed<unsigned int>
    { typedef signed int __type; };

template<>
    struct __make_signed<unsigned long>
    { typedef signed long __type; };

template<>
    struct __make_signed<unsigned long long>
    { typedef signed long long __type; };

#if defined(__GLIBCXX_TYPE_INT_N_0)
  template<>
    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_0>
    { typedef __GLIBCXX_TYPE_INT_N_0 __type; };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_1)
  template<>
    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_1>
    { typedef __GLIBCXX_TYPE_INT_N_1 __type; };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_2)
  template<>
    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_2>
    { typedef __GLIBCXX_TYPE_INT_N_2 __type; };
#endif
#if defined(__GLIBCXX_TYPE_INT_N_3)
  template<>
    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_3>
    { typedef __GLIBCXX_TYPE_INT_N_3 __type; };
#endif

template<typename _Tp>
    class __make_signed_selector<_Tp, true, false>
    {
      typedef __make_signed<typename remove_cv<_Tp>::type> __signedt;
      typedef typename __signedt::__type __signed_type;
      typedef __match_cv_qualifiers<_Tp, __signed_type> __cv_signed;

public:
      typedef typename __cv_signed::__type __type;
    };

template<typename _Tp>
    class __make_signed_selector<_Tp, false, true>
    {
      typedef typename __make_unsigned_selector<_Tp>::__type __unsigned_type;

public:
      typedef typename __make_signed_selector<__unsigned_type>::__type __type;
    };

// Given an integral/enum type, return the corresponding signed
  // integer type.
  // Primary template.
  /// make_signed
  template<typename _Tp>
    struct make_signed
    { typedef typename __make_signed_selector<_Tp>::__type type; };

// Integral, but don't define.
  template<>
    struct make_signed<bool>;

#if __cplusplus > 201103L
  /// Alias template for make_signed
  template<typename _Tp>
    using make_signed_t = typename make_signed<_Tp>::type;

/// Alias template for make_unsigned
  template<typename _Tp>
    using make_unsigned_t = typename make_unsigned<_Tp>::type;
#endif

// Array modifications.

/// remove_extent
  template<typename _Tp>
    struct remove_extent
    { typedef _Tp     type; };

template<typename _Tp, std::size_t _Size>
    struct remove_extent<_Tp[_Size]>
    { typedef _Tp     type; };

template<typename _Tp>
    struct remove_extent<_Tp[]>
    { typedef _Tp     type; };

/// remove_all_extents
  template<typename _Tp>
    struct remove_all_extents
    { typedef _Tp     type; };

template<typename _Tp, std::size_t _Size>
    struct remove_all_extents<_Tp[_Size]>
    { typedef typename remove_all_extents<_Tp>::type     type; };

template<typename _Tp>
    struct remove_all_extents<_Tp[]>
    { typedef typename remove_all_extents<_Tp>::type     type; };

#if __cplusplus > 201103L
  /// Alias template for remove_extent
  template<typename _Tp>
    using remove_extent_t = typename remove_extent<_Tp>::type;

/// Alias template for remove_all_extents
  template<typename _Tp>
    using remove_all_extents_t = typename remove_all_extents<_Tp>::type;
#endif

// Pointer modifications.

template<typename _Tp, typename>
    struct __remove_pointer_helper
    { typedef _Tp     type; };

template<typename _Tp, typename _Up>
    struct __remove_pointer_helper<_Tp, _Up*>
    { typedef _Up     type; };

/// remove_pointer
  template<typename _Tp>
    struct remove_pointer
    : public __remove_pointer_helper<_Tp, typename remove_cv<_Tp>::type>
    { };

/// add_pointer
  template<typename _Tp, bool = __or_<__is_referenceable<_Tp>,
				      is_void<_Tp>>::value>
    struct __add_pointer_helper
    { typedef _Tp     type; };

template<typename _Tp>
    struct __add_pointer_helper<_Tp, true>
    { typedef typename remove_reference<_Tp>::type*     type; };

template<typename _Tp>
    struct add_pointer
    : public __add_pointer_helper<_Tp>
    { };

#if __cplusplus > 201103L
  /// Alias template for remove_pointer
  template<typename _Tp>
    using remove_pointer_t = typename remove_pointer<_Tp>::type;

/// Alias template for add_pointer
  template<typename _Tp>
    using add_pointer_t = typename add_pointer<_Tp>::type;
#endif

template<std::size_t _Len>
    struct __aligned_storage_msa
    {
      union __type
      {
	unsigned char __data[_Len];
	struct __attribute__((__aligned__)) { } __align;
      };
    };

/**
   *  @brief Alignment type.
   *
   *  The value of _Align is a default-alignment which shall be the
   *  most stringent alignment requirement for any C++ object type
   *  whose size is no greater than _Len (3.9). The member typedef
   *  type shall be a POD type suitable for use as uninitialized
   *  storage for any object whose size is at most _Len and whose
   *  alignment is a divisor of _Align.
  */
  template<std::size_t _Len, std::size_t _Align =
	   __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    struct aligned_storage
    {
      union type
      {
	unsigned char __data[_Len];
	struct __attribute__((__aligned__((_Align)))) { } __align;
      };
    };

template <typename... _Types>
    struct __strictest_alignment
    {
      static const size_t _S_alignment = 0;
      static const size_t _S_size = 0;
    };

template <typename _Tp, typename... _Types>
    struct __strictest_alignment<_Tp, _Types...>
    {
      static const size_t _S_alignment =
        alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment
	? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment;
      static const size_t _S_size =
        sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size
	? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size;
    };

/**
   *  @brief Provide aligned storage for types.
   *
   *  [meta.trans.other]
   *
   *  Provides aligned storage for any of the provided types of at
   *  least size _Len.
   *
   *  @see aligned_storage
   */
  template <size_t _Len, typename... _Types>
    struct aligned_union
    {
    private:
      static_assert(sizeof...(_Types) != 0, "At least one type is required");

using __strictest = __strictest_alignment<_Types...>;
      static const size_t _S_len = _Len > __strictest::_S_size
	? _Len : __strictest::_S_size;
    public:
      /// The value of the strictest alignment of _Types.
      static const size_t alignment_value = __strictest::_S_alignment;
      /// The storage.
      typedef typename aligned_storage<_S_len, alignment_value>::type type;
    };

template <size_t _Len, typename... _Types>
    const size_t aligned_union<_Len, _Types...>::alignment_value;

// Decay trait for arrays and functions, used for perfect forwarding
  // in make_pair, make_tuple, etc.
  template<typename _Up,
	   bool _IsArray = is_array<_Up>::value,
	   bool _IsFunction = is_function<_Up>::value>
    struct __decay_selector;

// NB: DR 705.
  template<typename _Up>
    struct __decay_selector<_Up, false, false>
    { typedef typename remove_cv<_Up>::type __type; };

template<typename _Up>
    struct __decay_selector<_Up, true, false>
    { typedef typename remove_extent<_Up>::type* __type; };

template<typename _Up>
    struct __decay_selector<_Up, false, true>
    { typedef typename add_pointer<_Up>::type __type; };

/// decay
  template<typename _Tp>
    class decay
    {
      typedef typename remove_reference<_Tp>::type __remove_type;

public:
      typedef typename __decay_selector<__remove_type>::__type type;
    };

template<typename _Tp>
    class reference_wrapper;

// Helper which adds a reference to a type when given a reference_wrapper
  template<typename _Tp>
    struct __strip_reference_wrapper
    {
      typedef _Tp __type;
    };

template<typename _Tp>
    struct __strip_reference_wrapper<reference_wrapper<_Tp> >
    {
      typedef _Tp& __type;
    };

template<typename _Tp>
    struct __decay_and_strip
    {
      typedef typename __strip_reference_wrapper<
	typename decay<_Tp>::type>::__type __type;
    };

// Primary template.
  /// Define a member typedef @c type only if a boolean constant is true.
  template<bool, typename _Tp = void>
    struct enable_if
    { };

// Partial specialization for true.
  template<typename _Tp>
    struct enable_if<true, _Tp>
    { typedef _Tp type; };

template<typename... _Cond>
    using _Require = typename enable_if<__and_<_Cond...>::value>::type;

// Primary template.
  /// Define a member typedef @c type to one of two argument types.
  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    struct conditional
    { typedef _Iftrue type; };

// Partial specialization for false.
  template<typename _Iftrue, typename _Iffalse>
    struct conditional<false, _Iftrue, _Iffalse>
    { typedef _Iffalse type; };

/// common_type
  template<typename... _Tp>
    struct common_type;

// Sfinae-friendly common_type implementation:

struct __do_common_type_impl
  {
    template<typename _Tp, typename _Up>
      static __success_type<typename decay<decltype
			    (true ? std::declval<_Tp>()
			     : std::declval<_Up>())>::type> _S_test(int);

template<typename, typename>
      static __failure_type _S_test(...);
  };

template<typename _Tp, typename _Up>
    struct __common_type_impl
    : private __do_common_type_impl
    {
      typedef decltype(_S_test<_Tp, _Up>(0)) type;
    };

struct __do_member_type_wrapper
  {
    template<typename _Tp>
      static __success_type<typename _Tp::type> _S_test(int);

template<typename>
      static __failure_type _S_test(...);
  };

template<typename _Tp>
    struct __member_type_wrapper
    : private __do_member_type_wrapper
    {
      typedef decltype(_S_test<_Tp>(0)) type;
    };

template<typename _CTp, typename... _Args>
    struct __expanded_common_type_wrapper
    {
      typedef common_type<typename _CTp::type, _Args...> type;
    };

template<typename... _Args>
    struct __expanded_common_type_wrapper<__failure_type, _Args...>
    { typedef __failure_type type; };

template<>
    struct common_type<>
    { };

template<typename _Tp>
    struct common_type<_Tp>
    : common_type<_Tp, _Tp>
    { };

template<typename _Tp, typename _Up>
    struct common_type<_Tp, _Up>
    : public __common_type_impl<_Tp, _Up>::type
    { };

template<typename _Tp, typename _Up, typename... _Vp>
    struct common_type<_Tp, _Up, _Vp...>
    : public __expanded_common_type_wrapper<typename __member_type_wrapper<
               common_type<_Tp, _Up>>::type, _Vp...>::type
    { };

/// The underlying type of an enum.
  template<typename _Tp>
    struct underlying_type
    {
      typedef __underlying_type(_Tp) type;
    };

template<typename _Tp>
    struct __declval_protector
    {
      static const bool __stop = false;
    };

template<typename _Tp>
    auto declval() noexcept -> decltype(__declval<_Tp>(0))
    {
      static_assert(__declval_protector<_Tp>::__stop,
		    "declval() must not be used!");
      return __declval<_Tp>(0);
    }

// wchar_t, char16_t and char32_t are integral types but are neither
  // signed integer types nor unsigned integer types, so must be
  // transformed to the integer type with the smallest rank that has the
  // same size and signedness.
  // Use the partial specialization for enumeration types to do that,
  // which means these explicit specializations must be defined after
  // std::conditional has been defined.

#if defined(_GLIBCXX_USE_WCHAR_T)
  template<>
    struct __make_unsigned<wchar_t>
    {
      using __type
	= typename __make_unsigned_selector<wchar_t, false, true>::__type;
    };

template<>
    struct __make_signed<wchar_t>
    {
      using __type
	= typename __make_signed_selector<wchar_t, false, true>::__type;
    };
#endif

template<>
    struct __make_unsigned<char16_t>
    {
      using __type
	= typename __make_unsigned_selector<char16_t, false, true>::__type;
    };

template<>
    struct __make_signed<char16_t>
    {
      using __type
	= typename __make_signed_selector<char16_t, false, true>::__type;
    };

template<>
    struct __make_unsigned<char32_t>
    {
      using __type
	= typename __make_unsigned_selector<char32_t, false, true>::__type;
    };

template<>
    struct __make_signed<char32_t>
    {
      using __type
	= typename __make_signed_selector<char32_t, false, true>::__type;
    };

/// result_of
  template<typename _Signature>
    class result_of;

// Sfinae-friendly result_of implementation:

#define __cpp_lib_result_of_sfinae 201210

struct __invoke_memfun_ref { };
  struct __invoke_memfun_deref { };
  struct __invoke_memobj_ref { };
  struct __invoke_memobj_deref { };
  struct __invoke_other { };

// Associate a tag type with a specialization of __success_type.
  template<typename _Tp, typename _Tag>
    struct __result_of_success : __success_type<_Tp>
    { using __invoke_type = _Tag; };

// [func.require] paragraph 1 bullet 1:
  struct __result_of_memfun_ref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_ref> _S_test(int);

template<typename...>
      static __failure_type _S_test(...);
  };

template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_ref
    : private __result_of_memfun_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };

// [func.require] paragraph 1 bullet 2:
  struct __result_of_memfun_deref_impl
  {
    template<typename _Fp, typename _Tp1, typename... _Args>
      static __result_of_success<decltype(
      ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
      ), __invoke_memfun_deref> _S_test(int);

template<typename...>
      static __failure_type _S_test(...);
  };

template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun_deref
    : private __result_of_memfun_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
    };

// [func.require] paragraph 1 bullet 3:
  struct __result_of_memobj_ref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      std::declval<_Tp1>().*std::declval<_Fp>()
      ), __invoke_memobj_ref> _S_test(int);

template<typename, typename>
      static __failure_type _S_test(...);
  };

template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_ref
    : private __result_of_memobj_ref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };

// [func.require] paragraph 1 bullet 4:
  struct __result_of_memobj_deref_impl
  {
    template<typename _Fp, typename _Tp1>
      static __result_of_success<decltype(
      (*std::declval<_Tp1>()).*std::declval<_Fp>()
      ), __invoke_memobj_deref> _S_test(int);

template<typename, typename>
      static __failure_type _S_test(...);
  };

template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj_deref
    : private __result_of_memobj_deref_impl
    {
      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
    };

template<typename _MemPtr, typename _Arg>
    struct __result_of_memobj;

template<typename _Res, typename _Class, typename _Arg>
    struct __result_of_memobj<_Res _Class::*, _Arg>
    {
      typedef typename remove_cv<typename remove_reference<
        _Arg>::type>::type _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memobj_ref<_MemPtr, _Arg>,
        __result_of_memobj_deref<_MemPtr, _Arg>
      >::type::type type;
    };

template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_memfun;

template<typename _Res, typename _Class, typename _Arg, typename... _Args>
    struct __result_of_memfun<_Res _Class::*, _Arg, _Args...>
    {
      typedef typename remove_cv<typename remove_reference<
        _Arg>::type>::type _Argval;
      typedef _Res _Class::* _MemPtr;
      typedef typename conditional<__or_<is_same<_Argval, _Class>,
        is_base_of<_Class, _Argval>>::value,
        __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
        __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
      >::type::type type;
    };

// _GLIBCXX_RESOLVE_LIB_DEFECTS
  // 2219.  INVOKE-ing a pointer to member with a reference_wrapper
  //        as the object expression

// Used by result_of, invoke etc. to unwrap a reference_wrapper.
  template<typename _Tp, typename _Up = typename decay<_Tp>::type>
    struct __inv_unwrap
    {
      using type = _Tp;
    };

template<typename _Tp, typename _Up>
    struct __inv_unwrap<_Tp, reference_wrapper<_Up>>
    {
      using type = _Up&;
    };

template<bool, bool, typename _Functor, typename... _ArgTypes>
    struct __result_of_impl
    {
      typedef __failure_type type;
    };

template<typename _MemPtr, typename _Arg>
    struct __result_of_impl<true, false, _MemPtr, _Arg>
    : public __result_of_memobj<typename decay<_MemPtr>::type,
				typename __inv_unwrap<_Arg>::type>
    { };

template<typename _MemPtr, typename _Arg, typename... _Args>
    struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...>
    : public __result_of_memfun<typename decay<_MemPtr>::type,
				typename __inv_unwrap<_Arg>::type, _Args...>
    { };

// [func.require] paragraph 1 bullet 5:
  struct __result_of_other_impl
  {
    template<typename _Fn, typename... _Args>
      static __result_of_success<decltype(
      std::declval<_Fn>()(std::declval<_Args>()...)
      ), __invoke_other> _S_test(int);

template<typename...>
      static __failure_type _S_test(...);
  };

template<typename _Functor, typename... _ArgTypes>
    struct __result_of_impl<false, false, _Functor, _ArgTypes...>
    : private __result_of_other_impl
    {
      typedef decltype(_S_test<_Functor, _ArgTypes...>(0)) type;
    };

// __invoke_result (std::invoke_result for C++11)
  template<typename _Functor, typename... _ArgTypes>
    struct __invoke_result
    : public __result_of_impl<
        is_member_object_pointer<
          typename remove_reference<_Functor>::type
        >::value,
        is_member_function_pointer<
          typename remove_reference<_Functor>::type
        >::value,
	_Functor, _ArgTypes...
      >::type
    { };

template<typename _Functor, typename... _ArgTypes>
    struct result_of<_Functor(_ArgTypes...)>
    : public __invoke_result<_Functor, _ArgTypes...>
    { };

#if __cplusplus >= 201402L
  /// Alias template for aligned_storage
  template<size_t _Len, size_t _Align =
	    __alignof__(typename __aligned_storage_msa<_Len>::__type)>
    using aligned_storage_t = typename aligned_storage<_Len, _Align>::type;

template <size_t _Len, typename... _Types>
    using aligned_union_t = typename aligned_union<_Len, _Types...>::type;

/// Alias template for decay
  template<typename _Tp>
    using decay_t = typename decay<_Tp>::type;

/// Alias template for enable_if
  template<bool _Cond, typename _Tp = void>
    using enable_if_t = typename enable_if<_Cond, _Tp>::type;

/// Alias template for conditional
  template<bool _Cond, typename _Iftrue, typename _Iffalse>
    using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type;

/// Alias template for common_type
  template<typename... _Tp>
    using common_type_t = typename common_type<_Tp...>::type;

/// Alias template for underlying_type
  template<typename _Tp>
    using underlying_type_t = typename underlying_type<_Tp>::type;

/// Alias template for result_of
  template<typename _Tp>
    using result_of_t = typename result_of<_Tp>::type;
#endif // C++14

// __enable_if_t (std::enable_if_t for C++11)
  template<bool _Cond, typename _Tp = void>
    using __enable_if_t = typename enable_if<_Cond, _Tp>::type;

// __void_t (std::void_t for C++11)
  template<typename...> using __void_t = void;

#if __cplusplus >= 201703L || !defined(__STRICT_ANSI__) // c++17 or gnu++11
#define __cpp_lib_void_t 201411
  /// A metafunction that always yields void, used for detecting valid types.
  template<typename...> using void_t = void;
#endif

/// Implementation of the detection idiom (negative case).
  template<typename _Default, typename _AlwaysVoid,
	   template<typename...> class _Op, typename... _Args>
    struct __detector
    {
      using value_t = false_type;
      using type = _Default;
    };

/// Implementation of the detection idiom (positive case).
  template<typename _Default, template<typename...> class _Op,
	    typename... _Args>
    struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...>
    {
      using value_t = true_type;
      using type = _Op<_Args...>;
    };

// Detect whether _Op<_Args...> is a valid type, use _Default if not.
  template<typename _Default, template<typename...> class _Op,
	   typename... _Args>
    using __detected_or = __detector<_Default, void, _Op, _Args...>;

// _Op<_Args...> if that is a valid type, otherwise _Default.
  template<typename _Default, template<typename...> class _Op,
	   typename... _Args>
    using __detected_or_t
      = typename __detected_or<_Default, _Op, _Args...>::type;

/// @} group metaprogramming

/**
   *  Use SFINAE to determine if the type _Tp has a publicly-accessible
   *  member type _NTYPE.
   */
#define _GLIBCXX_HAS_NESTED_TYPE(_NTYPE)				\
  template<typename _Tp, typename = __void_t<>>				\
    struct __has_##_NTYPE						\
    : false_type							\
    { };								\
  template<typename _Tp>						\
    struct __has_##_NTYPE<_Tp, __void_t<typename _Tp::_NTYPE>>		\
    : true_type								\
    { };

template <typename _Tp>
    struct __is_swappable;

template <typename _Tp>
    struct __is_nothrow_swappable;

template<typename... _Elements>
    class tuple;

template<typename>
    struct __is_tuple_like_impl : false_type
    { };

template<typename... _Tps>
    struct __is_tuple_like_impl<tuple<_Tps...>> : true_type
    { };

// Internal type trait that allows us to sfinae-protect tuple_cat.
  template<typename _Tp>
    struct __is_tuple_like
    : public __is_tuple_like_impl<typename remove_cv<
      typename remove_reference<_Tp>::type>::type>::type
    { };

template<typename _Tp>
    inline
    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
			      is_move_constructible<_Tp>,
			      is_move_assignable<_Tp>>::value>::type
    swap(_Tp&, _Tp&)
    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
	            is_nothrow_move_assignable<_Tp>>::value);

template<typename _Tp, size_t _Nm>
    inline
    typename enable_if<__is_swappable<_Tp>::value>::type
    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
    noexcept(__is_nothrow_swappable<_Tp>::value);

namespace __swappable_details {
    using std::swap;

struct __do_is_swappable_impl
    {
      template<typename _Tp, typename
               = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))>
        static true_type __test(int);

template<typename>
        static false_type __test(...);
    };

struct __do_is_nothrow_swappable_impl
    {
      template<typename _Tp>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))
        > __test(int);

template<typename>
        static false_type __test(...);
    };

} // namespace __swappable_details

template<typename _Tp>
    struct __is_swappable_impl
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

template<typename _Tp>
    struct __is_nothrow_swappable_impl
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp>(0)) type;
    };

template<typename _Tp>
    struct __is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };

template<typename _Tp>
    struct __is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };

#if __cplusplus > 201402L || !defined(__STRICT_ANSI__) // c++1z or gnu++11
#define __cpp_lib_is_swappable 201603
  /// Metafunctions used for detecting swappable types: p0185r1

/// is_swappable
  template<typename _Tp>
    struct is_swappable
    : public __is_swappable_impl<_Tp>::type
    { };

/// is_nothrow_swappable
  template<typename _Tp>
    struct is_nothrow_swappable
    : public __is_nothrow_swappable_impl<_Tp>::type
    { };

#if __cplusplus >= 201402L
  /// is_swappable_v
  template<typename _Tp>
    _GLIBCXX17_INLINE constexpr bool is_swappable_v =
      is_swappable<_Tp>::value;

/// is_nothrow_swappable_v
  template<typename _Tp>
    _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_v =
      is_nothrow_swappable<_Tp>::value;
#endif // __cplusplus >= 201402L

namespace __swappable_with_details {
    using std::swap;

struct __do_is_swappable_with_impl
    {
      template<typename _Tp, typename _Up, typename
               = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())),
               typename
               = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))>
        static true_type __test(int);

template<typename, typename>
        static false_type __test(...);
    };

struct __do_is_nothrow_swappable_with_impl
    {
      template<typename _Tp, typename _Up>
        static __bool_constant<
          noexcept(swap(std::declval<_Tp>(), std::declval<_Up>()))
          &&
          noexcept(swap(std::declval<_Up>(), std::declval<_Tp>()))
        > __test(int);

template<typename, typename>
        static false_type __test(...);
    };

} // namespace __swappable_with_details

template<typename _Tp, typename _Up>
    struct __is_swappable_with_impl
    : public __swappable_with_details::__do_is_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };

// Optimization for the homogenous lvalue case, not required:
  template<typename _Tp>
    struct __is_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };

template<typename _Tp, typename _Up>
    struct __is_nothrow_swappable_with_impl
    : public __swappable_with_details::__do_is_nothrow_swappable_with_impl
    {
      typedef decltype(__test<_Tp, _Up>(0)) type;
    };

// Optimization for the homogenous lvalue case, not required:
  template<typename _Tp>
    struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&>
    : public __swappable_details::__do_is_nothrow_swappable_impl
    {
      typedef decltype(__test<_Tp&>(0)) type;
    };

/// is_swappable_with
  template<typename _Tp, typename _Up>
    struct is_swappable_with
    : public __is_swappable_with_impl<_Tp, _Up>::type
    { };

/// is_nothrow_swappable_with
  template<typename _Tp, typename _Up>
    struct is_nothrow_swappable_with
    : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
    { };

#if __cplusplus >= 201402L
  /// is_swappable_with_v
  template<typename _Tp, typename _Up>
    _GLIBCXX17_INLINE constexpr bool is_swappable_with_v =
      is_swappable_with<_Tp, _Up>::value;

/// is_nothrow_swappable_with_v
  template<typename _Tp, typename _Up>
    _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_with_v =
      is_nothrow_swappable_with<_Tp, _Up>::value;
#endif // __cplusplus >= 201402L

#endif// c++1z or gnu++11

// __is_invocable (std::is_invocable for C++11)

template<typename _Result, typename _Ret, typename = void>
    struct __is_invocable_impl : false_type { };

template<typename _Result, typename _Ret>
    struct __is_invocable_impl<_Result, _Ret, __void_t<typename _Result::type>>
    : __or_<is_void<_Ret>, is_convertible<typename _Result::type, _Ret>>::type
    { };

template<typename _Fn, typename... _ArgTypes>
    struct __is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    { };

template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept((std::declval<_Up>().*std::declval<_Fn>())(
	    std::declval<_Args>()...));
    }

template<typename _Fn, typename _Tp, typename... _Args>
    constexpr bool __call_is_nt(__invoke_memfun_deref)
    {
      return noexcept(((*std::declval<_Tp>()).*std::declval<_Fn>())(
	    std::declval<_Args>()...));
    }

template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_ref)
    {
      using _Up = typename __inv_unwrap<_Tp>::type;
      return noexcept(std::declval<_Up>().*std::declval<_Fn>());
    }

template<typename _Fn, typename _Tp>
    constexpr bool __call_is_nt(__invoke_memobj_deref)
    {
      return noexcept((*std::declval<_Tp>()).*std::declval<_Fn>());
    }

template<typename _Fn, typename... _Args>
    constexpr bool __call_is_nt(__invoke_other)
    {
      return noexcept(std::declval<_Fn>()(std::declval<_Args>()...));
    }

template<typename _Result, typename _Fn, typename... _Args>
    struct __call_is_nothrow
    : __bool_constant<
	std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{})
      >
    { };

template<typename _Fn, typename... _Args>
    using __call_is_nothrow_
      = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>;

// __is_nothrow_invocable (std::is_nothrow_invocable for C++11)
  template<typename _Fn, typename... _Args>
    struct __is_nothrow_invocable
    : __and_<__is_invocable<_Fn, _Args...>,
             __call_is_nothrow_<_Fn, _Args...>>::type
    { };

struct __nonesuch {
    __nonesuch() = delete;
    ~__nonesuch() = delete;
    __nonesuch(__nonesuch const&) = delete;
    void operator=(__nonesuch const&) = delete;
  };

#if __cplusplus >= 201703L
# define __cpp_lib_is_invocable 201703

/// std::invoke_result
  template<typename _Functor, typename... _ArgTypes>
    struct invoke_result
    : public __invoke_result<_Functor, _ArgTypes...>
    { };

/// std::invoke_result_t
  template<typename _Fn, typename... _Args>
    using invoke_result_t = typename invoke_result<_Fn, _Args...>::type;

/// std::is_invocable
  template<typename _Fn, typename... _ArgTypes>
    struct is_invocable
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
    { };

/// std::is_invocable_r
  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_invocable_r
    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type
    { };

/// std::is_nothrow_invocable
  template<typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable
    : __and_<__is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    { };

template<typename _Result, typename _Ret, typename = void>
    struct __is_nt_invocable_impl : false_type { };

template<typename _Result, typename _Ret>
    struct __is_nt_invocable_impl<_Result, _Ret,
				  __void_t<typename _Result::type>>
    : __or_<is_void<_Ret>,
	    __and_<is_convertible<typename _Result::type, _Ret>,
		   is_nothrow_constructible<_Ret, typename _Result::type>>>
    { };

/// std::is_nothrow_invocable_r
  template<typename _Ret, typename _Fn, typename... _ArgTypes>
    struct is_nothrow_invocable_r
    : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
    { };

/// std::is_invocable_v
  template<typename _Fn, typename... _Args>
    inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value;

/// std::is_nothrow_invocable_v
  template<typename _Fn, typename... _Args>
    inline constexpr bool is_nothrow_invocable_v
      = is_nothrow_invocable<_Fn, _Args...>::value;

/// std::is_invocable_r_v
  template<typename _Fn, typename... _Args>
    inline constexpr bool is_invocable_r_v
      = is_invocable_r<_Fn, _Args...>::value;

/// std::is_nothrow_invocable_r_v
  template<typename _Fn, typename... _Args>
    inline constexpr bool is_nothrow_invocable_r_v
      = is_nothrow_invocable_r<_Fn, _Args...>::value;
#endif // C++17

#if __cplusplus >= 201703L
# define __cpp_lib_type_trait_variable_templates 201510L
template <typename _Tp>
  inline constexpr bool is_void_v = is_void<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_array_v = is_array<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_pointer_v = is_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_lvalue_reference_v =
    is_lvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_rvalue_reference_v =
    is_rvalue_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_object_pointer_v =
    is_member_object_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_function_pointer_v =
    is_member_function_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_enum_v = is_enum<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_union_v = is_union<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_class_v = is_class<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_function_v = is_function<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_reference_v = is_reference<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_object_v = is_object<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_compound_v = is_compound<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_const_v = is_const<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_volatile_v = is_volatile<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivial_v = is_trivial<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copyable_v =
    is_trivially_copyable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_standard_layout_v = is_standard_layout<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_pod_v = is_pod<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_literal_type_v = is_literal_type<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_empty_v = is_empty<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_polymorphic_v = is_polymorphic<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_abstract_v = is_abstract<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_final_v = is_final<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_constructible_v =
    is_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_default_constructible_v =
    is_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_copy_constructible_v =
    is_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_constructible_v =
    is_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_assignable_v = is_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_copy_assignable_v = is_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_move_assignable_v = is_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_trivially_constructible_v =
    is_trivially_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_default_constructible_v =
    is_trivially_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_constructible_v =
    is_trivially_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_constructible_v =
    is_trivially_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_trivially_assignable_v =
    is_trivially_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_copy_assignable_v =
    is_trivially_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_move_assignable_v =
    is_trivially_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_trivially_destructible_v =
    is_trivially_destructible<_Tp>::value;
template <typename _Tp, typename... _Args>
  inline constexpr bool is_nothrow_constructible_v =
    is_nothrow_constructible<_Tp, _Args...>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_default_constructible_v =
    is_nothrow_default_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_constructible_v =
    is_nothrow_copy_constructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_constructible_v =
    is_nothrow_move_constructible<_Tp>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_nothrow_assignable_v =
    is_nothrow_assignable<_Tp, _Up>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_copy_assignable_v =
    is_nothrow_copy_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_move_assignable_v =
    is_nothrow_move_assignable<_Tp>::value;
template <typename _Tp>
  inline constexpr bool is_nothrow_destructible_v =
    is_nothrow_destructible<_Tp>::value;
template <typename _Tp>
  inline constexpr bool has_virtual_destructor_v =
    has_virtual_destructor<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;
template <typename _Tp>
  inline constexpr size_t rank_v = rank<_Tp>::value;
template <typename _Tp, unsigned _Idx = 0>
  inline constexpr size_t extent_v = extent<_Tp, _Idx>::value;
template <typename _Tp, typename _Up>
  inline constexpr bool is_same_v = is_same<_Tp, _Up>::value;
template <typename _Base, typename _Derived>
  inline constexpr bool is_base_of_v = is_base_of<_Base, _Derived>::value;
template <typename _From, typename _To>
  inline constexpr bool is_convertible_v = is_convertible<_From, _To>::value;

#if __GNUC__ >= 7
# define _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP 1
#elif defined(__is_identifier)
// For non-GNU compilers:
# if ! __is_identifier(__has_unique_object_representations)
#  define _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP 1
# endif
#endif

#ifdef _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP
# define __cpp_lib_has_unique_object_representations 201606
  /// has_unique_object_representations
  template<typename _Tp>
    struct has_unique_object_representations
    : bool_constant<__has_unique_object_representations(
      remove_cv_t<remove_all_extents_t<_Tp>>
      )>
    { };

template<typename _Tp>
    inline constexpr bool has_unique_object_representations_v
      = has_unique_object_representations<_Tp>::value;
#endif
#undef _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP

#if __GNUC__ >= 7
# define _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE 1
#elif defined(__is_identifier)
// For non-GNU compilers:
# if ! __is_identifier(__is_aggregate)
#  define _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE 1
# endif
#endif

#ifdef _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE
#define __cpp_lib_is_aggregate 201703
  /// is_aggregate
  template<typename _Tp>
    struct is_aggregate
    : bool_constant<__is_aggregate(remove_cv_t<_Tp>)> { };

/// is_aggregate_v
  template<typename _Tp>
    inline constexpr bool is_aggregate_v = is_aggregate<_Tp>::value;
#endif
#undef _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE

#endif // C++17

#if __cplusplus > 201703L
  /// Byte order
  enum class endian
  {
    little = __ORDER_LITTLE_ENDIAN__,
    big    = __ORDER_BIG_ENDIAN__,
    native = __BYTE_ORDER__
  };
#endif // C++2a

_GLIBCXX_END_NAMESPACE_VERSION
} // namespace std

#endif  // C++11

#endif  // _GLIBCXX_TYPE_TRAITS

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