include/__chrono/duration.h - llvm-project/libcxx - Git at Google

 // -*- C++ -*-
 //===----------------------------------------------------------------------===//
 //
 // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
 // See https://llvm.org/LICENSE.txt for license information.
 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
 //
 //===----------------------------------------------------------------------===//

 #ifndef _LIBCPP___CHRONO_DURATION_H
 #define _LIBCPP___CHRONO_DURATION_H

 #include <__compare/ordering.h>
 #include <__compare/three_way_comparable.h>
 #include <__config>
 #include <__type_traits/common_type.h>
 #include <__type_traits/enable_if.h>
 #include <__type_traits/is_convertible.h>
 #include <__type_traits/is_floating_point.h>
 #include <limits>
 #include <ratio>

 #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
 #  pragma GCC system_header
 #endif

 _LIBCPP_PUSH_MACROS
 #include <__undef_macros>

 _LIBCPP_BEGIN_NAMESPACE_STD

 namespace chrono {

 template <class _Rep, class _Period = ratio<1> >
 class _LIBCPP_TEMPLATE_VIS duration;

 template <class _Tp>
 struct __is_duration : false_type {};

 template <class _Rep, class _Period>
 struct __is_duration<duration<_Rep, _Period> > : true_type {};

 template <class _Rep, class _Period>
 struct __is_duration<const duration<_Rep, _Period> > : true_type {};

 template <class _Rep, class _Period>
 struct __is_duration<volatile duration<_Rep, _Period> > : true_type {};

 template <class _Rep, class _Period>
 struct __is_duration<const volatile duration<_Rep, _Period> > : true_type {};

 } // namespace chrono

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 struct _LIBCPP_TEMPLATE_VIS common_type<chrono::duration<_Rep1, _Period1>, chrono::duration<_Rep2, _Period2> > {
   typedef chrono::duration<typename common_type<_Rep1, _Rep2>::type, typename __ratio_gcd<_Period1, _Period2>::type>
       type;
 };

 namespace chrono {

 // duration_cast

 template <class _FromDuration,
           class _ToDuration,
           class _Period = typename ratio_divide<typename _FromDuration::period, typename _ToDuration::period>::type,
           bool          = _Period::num == 1,
           bool          = _Period::den == 1>
 struct __duration_cast;

 template <class _FromDuration, class _ToDuration, class _Period>
 struct __duration_cast<_FromDuration, _ToDuration, _Period, true, true> {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
     return _ToDuration(static_cast<typename _ToDuration::rep>(__fd.count()));
   }
 };

 template <class _FromDuration, class _ToDuration, class _Period>
 struct __duration_cast<_FromDuration, _ToDuration, _Period, true, false> {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
     typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
     return _ToDuration(
         static_cast<typename _ToDuration::rep>(static_cast<_Ct>(__fd.count()) / static_cast<_Ct>(_Period::den)));
   }
 };

 template <class _FromDuration, class _ToDuration, class _Period>
 struct __duration_cast<_FromDuration, _ToDuration, _Period, false, true> {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
     typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
     return _ToDuration(
         static_cast<typename _ToDuration::rep>(static_cast<_Ct>(__fd.count()) * static_cast<_Ct>(_Period::num)));
   }
 };

 template <class _FromDuration, class _ToDuration, class _Period>
 struct __duration_cast<_FromDuration, _ToDuration, _Period, false, false> {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
     typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
     return _ToDuration(static_cast<typename _ToDuration::rep>(
         static_cast<_Ct>(__fd.count()) * static_cast<_Ct>(_Period::num) / static_cast<_Ct>(_Period::den)));
   }
 };

 template <class _ToDuration, class _Rep, class _Period, __enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration duration_cast(const duration<_Rep, _Period>& __fd) {
   return __duration_cast<duration<_Rep, _Period>, _ToDuration>()(__fd);
 }

 template <class _Rep>
 struct _LIBCPP_TEMPLATE_VIS treat_as_floating_point : is_floating_point<_Rep> {};

 #if _LIBCPP_STD_VER >= 17
 template <class _Rep>
 inline constexpr bool treat_as_floating_point_v = treat_as_floating_point<_Rep>::value;
 #endif

 template <class _Rep>
 struct _LIBCPP_TEMPLATE_VIS duration_values {
 public:
   _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR _Rep zero() _NOEXCEPT { return _Rep(0); }
   _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR _Rep max() _NOEXCEPT { return numeric_limits<_Rep>::max(); }
   _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR _Rep min() _NOEXCEPT { return numeric_limits<_Rep>::lowest(); }
 };

 #if _LIBCPP_STD_VER >= 17
 template <class _ToDuration, class _Rep, class _Period, enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration floor(const duration<_Rep, _Period>& __d) {
   _ToDuration __t = chrono::duration_cast<_ToDuration>(__d);
   if (__t > __d)
     __t = __t - _ToDuration{1};
   return __t;
 }

 template <class _ToDuration, class _Rep, class _Period, enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration ceil(const duration<_Rep, _Period>& __d) {
   _ToDuration __t = chrono::duration_cast<_ToDuration>(__d);
   if (__t < __d)
     __t = __t + _ToDuration{1};
   return __t;
 }

 template <class _ToDuration, class _Rep, class _Period, enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration round(const duration<_Rep, _Period>& __d) {
   _ToDuration __lower = chrono::floor<_ToDuration>(__d);
   _ToDuration __upper = __lower + _ToDuration{1};
   auto __lower_diff   = __d - __lower;
   auto __upper_diff   = __upper - __d;
   if (__lower_diff < __upper_diff)
     return __lower;
   if (__lower_diff > __upper_diff)
     return __upper;
   return __lower.count() & 1 ? __upper : __lower;
 }
 #endif

 // duration

 template <class _Rep, class _Period>
 class _LIBCPP_TEMPLATE_VIS duration {
   static_assert(!__is_duration<_Rep>::value, "A duration representation can not be a duration");
   static_assert(__is_ratio<_Period>::value, "Second template parameter of duration must be a std::ratio");
   static_assert(_Period::num > 0, "duration period must be positive");

   template <class _R1, class _R2>
   struct __no_overflow {
   private:
     static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
     static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
     static const intmax_t __n1        = _R1::num / __gcd_n1_n2;
     static const intmax_t __d1        = _R1::den / __gcd_d1_d2;
     static const intmax_t __n2        = _R2::num / __gcd_n1_n2;
     static const intmax_t __d2        = _R2::den / __gcd_d1_d2;
     static const intmax_t max         = -((intmax_t(1) << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1);

     template <intmax_t _Xp, intmax_t _Yp, bool __overflow>
     struct __mul // __overflow == false
     {
       static const intmax_t value = _Xp * _Yp;
     };

     template <intmax_t _Xp, intmax_t _Yp>
     struct __mul<_Xp, _Yp, true> {
       static const intmax_t value = 1;
     };

   public:
     static const bool value = (__n1 <= max / __d2) && (__n2 <= max / __d1);
     typedef ratio<__mul<__n1, __d2, !value>::value, __mul<__n2, __d1, !value>::value> type;
   };

 public:
   typedef _Rep rep;
   typedef typename _Period::type period;

 private:
   rep __rep_;

 public:
 #ifndef _LIBCPP_CXX03_LANG
   constexpr duration() = default;
 #else
   _LIBCPP_HIDE_FROM_ABI duration() {}
 #endif

   template <class _Rep2,
             __enable_if_t<is_convertible<const _Rep2&, rep>::value &&
                               (treat_as_floating_point<rep>::value || !treat_as_floating_point<_Rep2>::value),
                           int> = 0>
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR explicit duration(const _Rep2& __r) : __rep_(__r) {}

   // conversions
   template <class _Rep2,
             class _Period2,
             __enable_if_t<__no_overflow<_Period2, period>::value && (treat_as_floating_point<rep>::value ||
                                                                      (__no_overflow<_Period2, period>::type::den == 1 &&
                                                                       !treat_as_floating_point<_Rep2>::value)),
                           int> = 0>
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration(const duration<_Rep2, _Period2>& __d)
       : __rep_(chrono::duration_cast<duration>(__d).count()) {}

   // observer

   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR rep count() const { return __rep_; }

   // arithmetic

   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR typename common_type<duration>::type operator+() const {
     return typename common_type<duration>::type(*this);
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR typename common_type<duration>::type operator-() const {
     return typename common_type<duration>::type(-__rep_);
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator++() {
     ++__rep_;
     return *this;
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration operator++(int) { return duration(__rep_++); }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator--() {
     --__rep_;
     return *this;
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration operator--(int) { return duration(__rep_--); }

   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator+=(const duration& __d) {
     __rep_ += __d.count();
     return *this;
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator-=(const duration& __d) {
     __rep_ -= __d.count();
     return *this;
   }

   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator*=(const rep& __rhs) {
     __rep_ *= __rhs;
     return *this;
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator/=(const rep& __rhs) {
     __rep_ /= __rhs;
     return *this;
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator%=(const rep& __rhs) {
     __rep_ %= __rhs;
     return *this;
   }
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator%=(const duration& __rhs) {
     __rep_ %= __rhs.count();
     return *this;
   }

   // special values

   _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR duration zero() _NOEXCEPT {
     return duration(duration_values<rep>::zero());
   }
   _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR duration min() _NOEXCEPT {
     return duration(duration_values<rep>::min());
   }
   _LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR duration max() _NOEXCEPT {
     return duration(duration_values<rep>::max());
   }
 };

 typedef duration<long long, nano> nanoseconds;
 typedef duration<long long, micro> microseconds;
 typedef duration<long long, milli> milliseconds;
 typedef duration<long long > seconds;
 typedef duration< long, ratio< 60> > minutes;
 typedef duration< long, ratio<3600> > hours;
 #if _LIBCPP_STD_VER >= 20
 typedef duration< int, ratio_multiply<ratio<24>, hours::period>> days;
 typedef duration< int, ratio_multiply<ratio<7>, days::period>> weeks;
 typedef duration< int, ratio_multiply<ratio<146097, 400>, days::period>> years;
 typedef duration< int, ratio_divide<years::period, ratio<12>>> months;
 #endif
 // Duration ==

 template <class _LhsDuration, class _RhsDuration>
 struct __duration_eq {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _RhsDuration& __rhs) const {
     typedef typename common_type<_LhsDuration, _RhsDuration>::type _Ct;
     return _Ct(__lhs).count() == _Ct(__rhs).count();
   }
 };

 template <class _LhsDuration>
 struct __duration_eq<_LhsDuration, _LhsDuration> {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _LhsDuration& __rhs) const {
     return __lhs.count() == __rhs.count();
   }
 };

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
 operator==(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   return __duration_eq<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >()(__lhs, __rhs);
 }

 #if _LIBCPP_STD_VER <= 17

 // Duration !=

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
 operator!=(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   return !(__lhs == __rhs);
 }

 #endif // _LIBCPP_STD_VER <= 17

 // Duration <

 template <class _LhsDuration, class _RhsDuration>
 struct __duration_lt {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _RhsDuration& __rhs) const {
     typedef typename common_type<_LhsDuration, _RhsDuration>::type _Ct;
     return _Ct(__lhs).count() < _Ct(__rhs).count();
   }
 };

 template <class _LhsDuration>
 struct __duration_lt<_LhsDuration, _LhsDuration> {
   _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _LhsDuration& __rhs) const {
     return __lhs.count() < __rhs.count();
   }
 };

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
 operator<(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   return __duration_lt<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >()(__lhs, __rhs);
 }

 // Duration >

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
 operator>(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   return __rhs < __lhs;
 }

 // Duration <=

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
 operator<=(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   return !(__rhs < __lhs);
 }

 // Duration >=

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
 operator>=(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   return !(__lhs < __rhs);
 }

 #if _LIBCPP_STD_VER >= 20

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
   requires three_way_comparable<common_type_t<_Rep1, _Rep2>>
 _LIBCPP_HIDE_FROM_ABI constexpr auto
 operator<=>(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   using _Ct = common_type_t<duration<_Rep1, _Period1>, duration<_Rep2, _Period2>>;
   return _Ct(__lhs).count() <=> _Ct(__rhs).count();
 }

 #endif // _LIBCPP_STD_VER >= 20

 // Duration +

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR
     typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type
     operator+(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Cd;
   return _Cd(_Cd(__lhs).count() + _Cd(__rhs).count());
 }

 // Duration -

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR
     typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type
     operator-(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Cd;
   return _Cd(_Cd(__lhs).count() - _Cd(__rhs).count());
 }

 // Duration *

 template <class _Rep1,
           class _Period,
           class _Rep2,
           __enable_if_t<is_convertible<const _Rep2&, typename common_type<_Rep1, _Rep2>::type>::value, int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
 operator*(const duration<_Rep1, _Period>& __d, const _Rep2& __s) {
   typedef typename common_type<_Rep1, _Rep2>::type _Cr;
   typedef duration<_Cr, _Period> _Cd;
   return _Cd(_Cd(__d).count() * static_cast<_Cr>(__s));
 }

 template <class _Rep1,
           class _Period,
           class _Rep2,
           __enable_if_t<is_convertible<const _Rep1&, typename common_type<_Rep1, _Rep2>::type>::value, int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
 operator*(const _Rep1& __s, const duration<_Rep2, _Period>& __d) {
   return __d * __s;
 }

 // Duration /

 template <class _Rep1,
           class _Period,
           class _Rep2,
           __enable_if_t<!__is_duration<_Rep2>::value &&
                             is_convertible<const _Rep2&, typename common_type<_Rep1, _Rep2>::type>::value,
                         int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
 operator/(const duration<_Rep1, _Period>& __d, const _Rep2& __s) {
   typedef typename common_type<_Rep1, _Rep2>::type _Cr;
   typedef duration<_Cr, _Period> _Cd;
   return _Cd(_Cd(__d).count() / static_cast<_Cr>(__s));
 }

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR typename common_type<_Rep1, _Rep2>::type
 operator/(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Ct;
   return _Ct(__lhs).count() / _Ct(__rhs).count();
 }

 // Duration %

 template <class _Rep1,
           class _Period,
           class _Rep2,
           __enable_if_t<!__is_duration<_Rep2>::value &&
                             is_convertible<const _Rep2&, typename common_type<_Rep1, _Rep2>::type>::value,
                         int> = 0>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
 operator%(const duration<_Rep1, _Period>& __d, const _Rep2& __s) {
   typedef typename common_type<_Rep1, _Rep2>::type _Cr;
   typedef duration<_Cr, _Period> _Cd;
   return _Cd(_Cd(__d).count() % static_cast<_Cr>(__s));
 }

 template <class _Rep1, class _Period1, class _Rep2, class _Period2>
 inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR
     typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type
     operator%(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
   typedef typename common_type<_Rep1, _Rep2>::type _Cr;
   typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Cd;
   return _Cd(static_cast<_Cr>(_Cd(__lhs).count()) % static_cast<_Cr>(_Cd(__rhs).count()));
 }

 } // namespace chrono

 #if _LIBCPP_STD_VER >= 14
 // Suffixes for duration literals [time.duration.literals]
 inline namespace literals {
 inline namespace chrono_literals {

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::hours operator""h(unsigned long long __h) {
   return chrono::hours(static_cast<chrono::hours::rep>(__h));
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, ratio<3600, 1>> operator""h(long double __h) {
   return chrono::duration<long double, ratio<3600, 1>>(__h);
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::minutes operator""min(unsigned long long __m) {
   return chrono::minutes(static_cast<chrono::minutes::rep>(__m));
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, ratio<60, 1>> operator""min(long double __m) {
   return chrono::duration<long double, ratio<60, 1>>(__m);
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::seconds operator""s(unsigned long long __s) {
   return chrono::seconds(static_cast<chrono::seconds::rep>(__s));
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double> operator""s(long double __s) {
   return chrono::duration<long double>(__s);
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::milliseconds operator""ms(unsigned long long __ms) {
   return chrono::milliseconds(static_cast<chrono::milliseconds::rep>(__ms));
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, milli> operator""ms(long double __ms) {
   return chrono::duration<long double, milli>(__ms);
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::microseconds operator""us(unsigned long long __us) {
   return chrono::microseconds(static_cast<chrono::microseconds::rep>(__us));
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, micro> operator""us(long double __us) {
   return chrono::duration<long double, micro>(__us);
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::nanoseconds operator""ns(unsigned long long __ns) {
   return chrono::nanoseconds(static_cast<chrono::nanoseconds::rep>(__ns));
 }

 _LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, nano> operator""ns(long double __ns) {
   return chrono::duration<long double, nano>(__ns);
 }

 } // namespace chrono_literals
 } // namespace literals

 namespace chrono { // hoist the literals into namespace std::chrono
 using namespace literals::chrono_literals;
 } // namespace chrono

 #endif // _LIBCPP_STD_VER >= 14

 _LIBCPP_END_NAMESPACE_STD

 _LIBCPP_POP_MACROS

 #if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
 #  include <type_traits>
 #endif

 #endif // _LIBCPP___CHRONO_DURATION_H
	// -- C++ --
	//===----------------------------------------------------------------------===//
	//
	// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
	// See https://llvm.org/LICENSE.txt for license information.
	// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
	//
	//===----------------------------------------------------------------------===//

	#ifndef _LIBCPP___CHRONO_DURATION_H
	#define _LIBCPP___CHRONO_DURATION_H

	#include <__compare/ordering.h>
	#include <__compare/three_way_comparable.h>
	#include <__config>
	#include <__type_traits/common_type.h>
	#include <__type_traits/enable_if.h>
	#include <__type_traits/is_convertible.h>
	#include <__type_traits/is_floating_point.h>
	#include <limits>
	#include <ratio>

	#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
	# pragma GCC system_header
	#endif

	_LIBCPP_PUSH_MACROS
	#include <__undef_macros>

	_LIBCPP_BEGIN_NAMESPACE_STD

	namespace chrono {

	template <class _Rep, class _Period = ratio<1> >
	class _LIBCPP_TEMPLATE_VIS duration;

	template <class _Tp>
	struct __is_duration : false_type {};

	template <class _Rep, class _Period>
	struct __is_duration<duration<_Rep, _Period> > : true_type {};

	template <class _Rep, class _Period>
	struct __is_duration<const duration<_Rep, _Period> > : true_type {};

	template <class _Rep, class _Period>
	struct __is_duration<volatile duration<_Rep, _Period> > : true_type {};

	template <class _Rep, class _Period>
	struct __is_duration<const volatile duration<_Rep, _Period> > : true_type {};

	} // namespace chrono

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	struct _LIBCPP_TEMPLATE_VIS common_type<chrono::duration<_Rep1, _Period1>, chrono::duration<_Rep2, _Period2> > {
	typedef chrono::duration<typename common_type<_Rep1, _Rep2>::type, typename __ratio_gcd<_Period1, _Period2>::type>
	type;
	};

	namespace chrono {

	// duration_cast

	template <class _FromDuration,
	class _ToDuration,
	class _Period = typename ratio_divide<typename _FromDuration::period, typename _ToDuration::period>::type,
	bool = _Period::num == 1,
	bool = _Period::den == 1>
	struct __duration_cast;

	template <class _FromDuration, class _ToDuration, class _Period>
	struct __duration_cast<_FromDuration, _ToDuration, _Period, true, true> {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
	return _ToDuration(static_cast<typename _ToDuration::rep>(__fd.count()));
	}
	};

	template <class _FromDuration, class _ToDuration, class _Period>
	struct __duration_cast<_FromDuration, _ToDuration, _Period, true, false> {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
	typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
	return _ToDuration(
	static_cast<typename _ToDuration::rep>(static_cast<_Ct>(__fd.count()) / static_cast<_Ct>(_Period::den)));
	}
	};

	template <class _FromDuration, class _ToDuration, class _Period>
	struct __duration_cast<_FromDuration, _ToDuration, _Period, false, true> {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
	typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
	return _ToDuration(
	static_cast<typename _ToDuration::rep>(static_cast<_Ct>(__fd.count()) * static_cast<_Ct>(_Period::num)));
	}
	};

	template <class _FromDuration, class _ToDuration, class _Period>
	struct __duration_cast<_FromDuration, _ToDuration, _Period, false, false> {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration operator()(const _FromDuration& __fd) const {
	typedef typename common_type<typename _ToDuration::rep, typename _FromDuration::rep, intmax_t>::type _Ct;
	return _ToDuration(static_cast<typename _ToDuration::rep>(
	static_cast<_Ct>(__fd.count()) * static_cast<_Ct>(_Period::num) / static_cast<_Ct>(_Period::den)));
	}
	};

	template <class _ToDuration, class _Rep, class _Period, __enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration duration_cast(const duration<_Rep, _Period>& __fd) {
	return __duration_cast<duration<_Rep, _Period>, _ToDuration>()(__fd);
	}

	template <class _Rep>
	struct _LIBCPP_TEMPLATE_VIS treat_as_floating_point : is_floating_point<_Rep> {};

	#if _LIBCPP_STD_VER >= 17
	template <class _Rep>
	inline constexpr bool treat_as_floating_point_v = treat_as_floating_point<_Rep>::value;
	#endif

	template <class _Rep>
	struct _LIBCPP_TEMPLATE_VIS duration_values {
	public:
	_LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR _Rep zero() _NOEXCEPT { return _Rep(0); }
	_LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR _Rep max() _NOEXCEPT { return numeric_limits<_Rep>::max(); }
	_LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR _Rep min() _NOEXCEPT { return numeric_limits<_Rep>::lowest(); }
	};

	#if _LIBCPP_STD_VER >= 17
	template <class _ToDuration, class _Rep, class _Period, enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration floor(const duration<_Rep, _Period>& __d) {
	_ToDuration __t = chrono::duration_cast<_ToDuration>(__d);
	if (__t > __d)
	__t = __t - _ToDuration{1};
	return __t;
	}

	template <class _ToDuration, class _Rep, class _Period, enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration ceil(const duration<_Rep, _Period>& __d) {
	_ToDuration __t = chrono::duration_cast<_ToDuration>(__d);
	if (__t < __d)
	__t = __t + _ToDuration{1};
	return __t;
	}

	template <class _ToDuration, class _Rep, class _Period, enable_if_t<__is_duration<_ToDuration>::value, int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR _ToDuration round(const duration<_Rep, _Period>& __d) {
	_ToDuration __lower = chrono::floor<_ToDuration>(__d);
	_ToDuration __upper = __lower + _ToDuration{1};
	auto __lower_diff = __d - __lower;
	auto __upper_diff = __upper - __d;
	if (__lower_diff < __upper_diff)
	return __lower;
	if (__lower_diff > __upper_diff)
	return __upper;
	return __lower.count() & 1 ? __upper : __lower;
	}
	#endif

	// duration

	template <class _Rep, class _Period>
	class _LIBCPP_TEMPLATE_VIS duration {
	static_assert(!__is_duration<_Rep>::value, "A duration representation can not be a duration");
	static_assert(__is_ratio<_Period>::value, "Second template parameter of duration must be a std::ratio");
	static_assert(_Period::num > 0, "duration period must be positive");

	template <class _R1, class _R2>
	struct __no_overflow {
	private:
	static const intmax_t __gcd_n1_n2 = __static_gcd<_R1::num, _R2::num>::value;
	static const intmax_t __gcd_d1_d2 = __static_gcd<_R1::den, _R2::den>::value;
	static const intmax_t __n1 = _R1::num / __gcd_n1_n2;
	static const intmax_t __d1 = _R1::den / __gcd_d1_d2;
	static const intmax_t __n2 = _R2::num / __gcd_n1_n2;
	static const intmax_t __d2 = _R2::den / __gcd_d1_d2;
	static const intmax_t max = -((intmax_t(1) << (sizeof(intmax_t) * CHAR_BIT - 1)) + 1);

	template <intmax_t _Xp, intmax_t _Yp, bool __overflow>
	struct __mul // __overflow == false
	{
	static const intmax_t value = _Xp * _Yp;
	};

	template <intmax_t _Xp, intmax_t _Yp>
	struct __mul<_Xp, _Yp, true> {
	static const intmax_t value = 1;
	};

	public:
	static const bool value = (__n1 <= max / __d2) && (__n2 <= max / __d1);
	typedef ratio<__mul<__n1, __d2, !value>::value, __mul<__n2, __d1, !value>::value> type;
	};

	public:
	typedef _Rep rep;
	typedef typename _Period::type period;

	private:
	rep __rep_;

	public:
	#ifndef _LIBCPP_CXX03_LANG
	constexpr duration() = default;
	#else
	_LIBCPP_HIDE_FROM_ABI duration() {}
	#endif

	template <class _Rep2,
	__enable_if_t<is_convertible<const _Rep2&, rep>::value &&
	(treat_as_floating_point<rep>::value \|\| !treat_as_floating_point<_Rep2>::value),
	int> = 0>
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR explicit duration(const _Rep2& __r) : __rep_(__r) {}

	// conversions
	template <class _Rep2,
	class _Period2,
	__enable_if_t<__no_overflow<_Period2, period>::value && (treat_as_floating_point<rep>::value \|\|
	(__no_overflow<_Period2, period>::type::den == 1 &&
	!treat_as_floating_point<_Rep2>::value)),
	int> = 0>
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration(const duration<_Rep2, _Period2>& __d)
	: __rep_(chrono::duration_cast<duration>(__d).count()) {}

	// observer

	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR rep count() const { return __rep_; }

	// arithmetic

	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR typename common_type<duration>::type operator+() const {
	return typename common_type<duration>::type(*this);
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR typename common_type<duration>::type operator-() const {
	return typename common_type<duration>::type(-__rep_);
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator++() {
	++__rep_;
	return *this;
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration operator++(int) { return duration(__rep_++); }
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator--() {
	--__rep_;
	return *this;
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration operator--(int) { return duration(__rep_--); }

	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator+=(const duration& __d) {
	__rep_ += __d.count();
	return *this;
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator-=(const duration& __d) {
	__rep_ -= __d.count();
	return *this;
	}

	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator*=(const rep& __rhs) {
	__rep_ *= __rhs;
	return *this;
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator/=(const rep& __rhs) {
	__rep_ /= __rhs;
	return *this;
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator%=(const rep& __rhs) {
	__rep_ %= __rhs;
	return *this;
	}
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR_SINCE_CXX17 duration& operator%=(const duration& __rhs) {
	__rep_ %= __rhs.count();
	return *this;
	}

	// special values

	_LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR duration zero() _NOEXCEPT {
	return duration(duration_values<rep>::zero());
	}
	_LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR duration min() _NOEXCEPT {
	return duration(duration_values<rep>::min());
	}
	_LIBCPP_HIDE_FROM_ABI static _LIBCPP_CONSTEXPR duration max() _NOEXCEPT {
	return duration(duration_values<rep>::max());
	}
	};

	typedef duration<long long, nano> nanoseconds;
	typedef duration<long long, micro> microseconds;
	typedef duration<long long, milli> milliseconds;
	typedef duration<long long > seconds;
	typedef duration< long, ratio< 60> > minutes;
	typedef duration< long, ratio<3600> > hours;
	#if _LIBCPP_STD_VER >= 20
	typedef duration< int, ratio_multiply<ratio<24>, hours::period>> days;
	typedef duration< int, ratio_multiply<ratio<7>, days::period>> weeks;
	typedef duration< int, ratio_multiply<ratio<146097, 400>, days::period>> years;
	typedef duration< int, ratio_divide<years::period, ratio<12>>> months;
	#endif
	// Duration ==

	template <class _LhsDuration, class _RhsDuration>
	struct __duration_eq {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _RhsDuration& __rhs) const {
	typedef typename common_type<_LhsDuration, _RhsDuration>::type _Ct;
	return _Ct(__lhs).count() == _Ct(__rhs).count();
	}
	};

	template <class _LhsDuration>
	struct __duration_eq<_LhsDuration, _LhsDuration> {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _LhsDuration& __rhs) const {
	return __lhs.count() == __rhs.count();
	}
	};

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
	operator==(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	return __duration_eq<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >()(__lhs, __rhs);
	}

	#if _LIBCPP_STD_VER <= 17

	// Duration !=

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
	operator!=(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	return !(__lhs == __rhs);
	}

	#endif // _LIBCPP_STD_VER <= 17

	// Duration <

	template <class _LhsDuration, class _RhsDuration>
	struct __duration_lt {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _RhsDuration& __rhs) const {
	typedef typename common_type<_LhsDuration, _RhsDuration>::type _Ct;
	return _Ct(__lhs).count() < _Ct(__rhs).count();
	}
	};

	template <class _LhsDuration>
	struct __duration_lt<_LhsDuration, _LhsDuration> {
	_LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool operator()(const _LhsDuration& __lhs, const _LhsDuration& __rhs) const {
	return __lhs.count() < __rhs.count();
	}
	};

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
	operator<(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	return __duration_lt<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >()(__lhs, __rhs);
	}

	// Duration >

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
	operator>(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	return __rhs < __lhs;
	}

	// Duration <=

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
	operator<=(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	return !(__rhs < __lhs);
	}

	// Duration >=

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR bool
	operator>=(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	return !(__lhs < __rhs);
	}

	#if _LIBCPP_STD_VER >= 20

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	requires three_way_comparable<common_type_t<_Rep1, _Rep2>>
	_LIBCPP_HIDE_FROM_ABI constexpr auto
	operator<=>(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	using _Ct = common_type_t<duration<_Rep1, _Period1>, duration<_Rep2, _Period2>>;
	return _Ct(__lhs).count() <=> _Ct(__rhs).count();
	}

	#endif // _LIBCPP_STD_VER >= 20

	// Duration +

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR
	typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type
	operator+(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Cd;
	return _Cd(_Cd(__lhs).count() + _Cd(__rhs).count());
	}

	// Duration -

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR
	typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type
	operator-(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Cd;
	return _Cd(_Cd(__lhs).count() - _Cd(__rhs).count());
	}

	// Duration *

	template <class _Rep1,
	class _Period,
	class _Rep2,
	__enable_if_t<is_convertible<const _Rep2&, typename common_type<_Rep1, _Rep2>::type>::value, int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
	operator*(const duration<_Rep1, _Period>& __d, const _Rep2& __s) {
	typedef typename common_type<_Rep1, _Rep2>::type _Cr;
	typedef duration<_Cr, _Period> _Cd;
	return _Cd(_Cd(__d).count() * static_cast<_Cr>(__s));
	}

	template <class _Rep1,
	class _Period,
	class _Rep2,
	__enable_if_t<is_convertible<const _Rep1&, typename common_type<_Rep1, _Rep2>::type>::value, int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
	operator*(const _Rep1& __s, const duration<_Rep2, _Period>& __d) {
	return __d * __s;
	}

	// Duration /

	template <class _Rep1,
	class _Period,
	class _Rep2,
	__enable_if_t<!__is_duration<_Rep2>::value &&
	is_convertible<const _Rep2&, typename common_type<_Rep1, _Rep2>::type>::value,
	int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
	operator/(const duration<_Rep1, _Period>& __d, const _Rep2& __s) {
	typedef typename common_type<_Rep1, _Rep2>::type _Cr;
	typedef duration<_Cr, _Period> _Cd;
	return _Cd(_Cd(__d).count() / static_cast<_Cr>(__s));
	}

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR typename common_type<_Rep1, _Rep2>::type
	operator/(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Ct;
	return _Ct(__lhs).count() / _Ct(__rhs).count();
	}

	// Duration %

	template <class _Rep1,
	class _Period,
	class _Rep2,
	__enable_if_t<!__is_duration<_Rep2>::value &&
	is_convertible<const _Rep2&, typename common_type<_Rep1, _Rep2>::type>::value,
	int> = 0>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR duration<typename common_type<_Rep1, _Rep2>::type, _Period>
	operator%(const duration<_Rep1, _Period>& __d, const _Rep2& __s) {
	typedef typename common_type<_Rep1, _Rep2>::type _Cr;
	typedef duration<_Cr, _Period> _Cd;
	return _Cd(_Cd(__d).count() % static_cast<_Cr>(__s));
	}

	template <class _Rep1, class _Period1, class _Rep2, class _Period2>
	inline _LIBCPP_HIDE_FROM_ABI _LIBCPP_CONSTEXPR
	typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type
	operator%(const duration<_Rep1, _Period1>& __lhs, const duration<_Rep2, _Period2>& __rhs) {
	typedef typename common_type<_Rep1, _Rep2>::type _Cr;
	typedef typename common_type<duration<_Rep1, _Period1>, duration<_Rep2, _Period2> >::type _Cd;
	return _Cd(static_cast<_Cr>(_Cd(__lhs).count()) % static_cast<_Cr>(_Cd(__rhs).count()));
	}

	} // namespace chrono

	#if _LIBCPP_STD_VER >= 14
	// Suffixes for duration literals [time.duration.literals]
	inline namespace literals {
	inline namespace chrono_literals {

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::hours operator""h(unsigned long long __h) {
	return chrono::hours(static_cast<chrono::hours::rep>(__h));
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, ratio<3600, 1>> operator""h(long double __h) {
	return chrono::duration<long double, ratio<3600, 1>>(__h);
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::minutes operator""min(unsigned long long __m) {
	return chrono::minutes(static_cast<chrono::minutes::rep>(__m));
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, ratio<60, 1>> operator""min(long double __m) {
	return chrono::duration<long double, ratio<60, 1>>(__m);
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::seconds operator""s(unsigned long long __s) {
	return chrono::seconds(static_cast<chrono::seconds::rep>(__s));
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double> operator""s(long double __s) {
	return chrono::duration<long double>(__s);
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::milliseconds operator""ms(unsigned long long __ms) {
	return chrono::milliseconds(static_cast<chrono::milliseconds::rep>(__ms));
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, milli> operator""ms(long double __ms) {
	return chrono::duration<long double, milli>(__ms);
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::microseconds operator""us(unsigned long long __us) {
	return chrono::microseconds(static_cast<chrono::microseconds::rep>(__us));
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, micro> operator""us(long double __us) {
	return chrono::duration<long double, micro>(__us);
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::nanoseconds operator""ns(unsigned long long __ns) {
	return chrono::nanoseconds(static_cast<chrono::nanoseconds::rep>(__ns));
	}

	_LIBCPP_HIDE_FROM_ABI constexpr chrono::duration<long double, nano> operator""ns(long double __ns) {
	return chrono::duration<long double, nano>(__ns);
	}

	} // namespace chrono_literals
	} // namespace literals

	namespace chrono { // hoist the literals into namespace std::chrono
	using namespace literals::chrono_literals;
	} // namespace chrono

	#endif // _LIBCPP_STD_VER >= 14

	_LIBCPP_END_NAMESPACE_STD

	_LIBCPP_POP_MACROS

	#if !defined(_LIBCPP_REMOVE_TRANSITIVE_INCLUDES) && _LIBCPP_STD_VER <= 20
	# include <type_traits>
	#endif

	#endif // _LIBCPP___CHRONO_DURATION_H