namespace std {
  namespace chrono {
    // [time.duration], class template duration
    template <class Rep, class Period = ratio<1>> class duration;
    // [time.point], class template time_point
    template <class Clock, class Duration = typename Clock::duration> class time_point;
  }
  // [time.traits.specializations], common_type specializations
  template <class Rep1, class Period1, class Rep2, class Period2>
    struct common_type<chrono::duration<Rep1, Period1>,
                       chrono::duration<Rep2, Period2>>;
  template <class Clock, class Duration1, class Duration2>
    struct common_type<chrono::time_point<Clock, Duration1>,
                       chrono::time_point<Clock, Duration2>>;
  namespace chrono {
    // [time.traits], customization traits
    template <class Rep> struct treat_as_floating_point;
    template <class Rep> struct duration_values;
    template <class Rep> inline constexpr bool treat_as_floating_point_v
      = treat_as_floating_point<Rep>::value;
    // [time.duration.nonmember], duration arithmetic
    template <class Rep1, class Period1, class Rep2, class Period2>
      common_type_t<duration<Rep1, Period1>, duration<Rep2, Period2>>
      constexpr operator+(const duration<Rep1, Period1>& lhs,
                          const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period1, class Rep2, class Period2>
      common_type_t<duration<Rep1, Period1>, duration<Rep2, Period2>>
      constexpr operator-(const duration<Rep1, Period1>& lhs,
                          const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period, class Rep2>
      duration<common_type_t<Rep1, Rep2>, Period>
      constexpr operator*(const duration<Rep1, Period>& d, const Rep2& s);
    template <class Rep1, class Rep2, class Period>
      duration<common_type_t<Rep1, Rep2>, Period>
      constexpr operator*(const Rep1& s, const duration<Rep2, Period>& d);
    template <class Rep1, class Period, class Rep2>
      duration<common_type_t<Rep1, Rep2>, Period>
      constexpr operator/(const duration<Rep1, Period>& d, const Rep2& s);
    template <class Rep1, class Period1, class Rep2, class Period2>
      common_type_t<Rep1, Rep2>
      constexpr operator/(const duration<Rep1, Period1>& lhs,
                          const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period, class Rep2>
      duration<common_type_t<Rep1, Rep2>, Period>
      constexpr operator%(const duration<Rep1, Period>& d, const Rep2& s);
    template <class Rep1, class Period1, class Rep2, class Period2>
      common_type_t<duration<Rep1, Period1>, duration<Rep2, Period2>>
      constexpr operator%(const duration<Rep1, Period1>& lhs,
                          const duration<Rep2, Period2>& rhs);
    // [time.duration.comparisons], duration comparisons
    template <class Rep1, class Period1, class Rep2, class Period2>
      constexpr bool operator==(const duration<Rep1, Period1>& lhs,
                                const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period1, class Rep2, class Period2>
      constexpr bool operator!=(const duration<Rep1, Period1>& lhs,
                                const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period1, class Rep2, class Period2>
      constexpr bool operator< (const duration<Rep1, Period1>& lhs,
                                const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period1, class Rep2, class Period2>
      constexpr bool operator<=(const duration<Rep1, Period1>& lhs,
                                const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period1, class Rep2, class Period2>
      constexpr bool operator> (const duration<Rep1, Period1>& lhs,
                                const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period1, class Rep2, class Period2>
      constexpr bool operator>=(const duration<Rep1, Period1>& lhs,
                                const duration<Rep2, Period2>& rhs);
    // [time.duration.cast], duration_cast
    template <class ToDuration, class Rep, class Period>
      constexpr ToDuration duration_cast(const duration<Rep, Period>& d);
    template <class ToDuration, class Rep, class Period>
      constexpr ToDuration floor(const duration<Rep, Period>& d);
    template <class ToDuration, class Rep, class Period>
      constexpr ToDuration ceil(const duration<Rep, Period>& d);
    template <class ToDuration, class Rep, class Period>
      constexpr ToDuration round(const duration<Rep, Period>& d);
    // convenience typedefs
    using nanoseconds  = duration<signed integer type of at least 64 bits, nano>;
    using microseconds = duration<signed integer type of at least 55 bits, micro>;
    using milliseconds = duration<signed integer type of at least 45 bits, milli>;
    using seconds      = duration<signed integer type of at least 35 bits>;
    using minutes      = duration<signed integer type of at least 29 bits, ratio<  60>>;
    using hours        = duration<signed integer type of at least 23 bits, ratio<3600>>;
    // [time.point.nonmember], time_point arithmetic
    template <class Clock, class Duration1, class Rep2, class Period2>
      constexpr time_point<Clock, common_type_t<Duration1, duration<Rep2, Period2>>>
      operator+(const time_point<Clock, Duration1>& lhs,
                const duration<Rep2, Period2>& rhs);
    template <class Rep1, class Period1, class Clock, class Duration2>
      constexpr time_point<Clock, common_type_t<duration<Rep1, Period1>, Duration2>>
      operator+(const duration<Rep1, Period1>& lhs,
                const time_point<Clock, Duration2>& rhs);
    template <class Clock, class Duration1, class Rep2, class Period2>
      constexpr time_point<Clock, common_type_t<Duration1, duration<Rep2, Period2>>>
      operator-(const time_point<Clock, Duration1>& lhs,
                const duration<Rep2, Period2>& rhs);
    template <class Clock, class Duration1, class Duration2>
      constexpr common_type_t<Duration1, Duration2>
      operator-(const time_point<Clock, Duration1>& lhs,
                const time_point<Clock, Duration2>& rhs);
    // [time.point.comparisons], time_point comparisons
    template <class Clock, class Duration1, class Duration2>
       constexpr bool operator==(const time_point<Clock, Duration1>& lhs,
                                 const time_point<Clock, Duration2>& rhs);
    template <class Clock, class Duration1, class Duration2>
       constexpr bool operator!=(const time_point<Clock, Duration1>& lhs,
                                 const time_point<Clock, Duration2>& rhs);
    template <class Clock, class Duration1, class Duration2>
       constexpr bool operator< (const time_point<Clock, Duration1>& lhs,
                                 const time_point<Clock, Duration2>& rhs);
    template <class Clock, class Duration1, class Duration2>
       constexpr bool operator<=(const time_point<Clock, Duration1>& lhs,
                                 const time_point<Clock, Duration2>& rhs);
    template <class Clock, class Duration1, class Duration2>
       constexpr bool operator> (const time_point<Clock, Duration1>& lhs,
                                 const time_point<Clock, Duration2>& rhs);
    template <class Clock, class Duration1, class Duration2>
       constexpr bool operator>=(const time_point<Clock, Duration1>& lhs,
                                 const time_point<Clock, Duration2>& rhs);
    // [time.point.cast], time_point_cast
    template <class ToDuration, class Clock, class Duration>
      constexpr time_point<Clock, ToDuration>
      time_point_cast(const time_point<Clock, Duration>& t);
    template <class ToDuration, class Clock, class Duration>
      constexpr time_point<Clock, ToDuration>
      floor(const time_point<Clock, Duration>& tp);
    template <class ToDuration, class Clock, class Duration>
      constexpr time_point<Clock, ToDuration>
      ceil(const time_point<Clock, Duration>& tp);
    template <class ToDuration, class Clock, class Duration>
      constexpr time_point<Clock, ToDuration>
      round(const time_point<Clock, Duration>& tp);
    // [time.duration.alg], specialized algorithms
    template <class Rep, class Period>
      constexpr duration<Rep, Period> abs(duration<Rep, Period> d);
    // [time.clock], clocks
    class system_clock;
    class steady_clock;
    class high_resolution_clock;
  }
  inline namespace literals {
    inline namespace chrono_literals {
      // [time.duration.literals], suffixes for duration literals
      constexpr chrono::hours                                operator""h(unsigned long long);
      constexpr chrono::duration<unspecified, ratio<3600,1>> operator""h(long double);
      constexpr chrono::minutes                              operator""min(unsigned long long);
      constexpr chrono::duration<unspecified, ratio<60,1>>   operator""min(long double);
      constexpr chrono::seconds                              operator""s(unsigned long long);
      constexpr chrono::duration<unspecified>                operator""s(long double);
      constexpr chrono::milliseconds                         operator""ms(unsigned long long);
      constexpr chrono::duration<unspecified, milli>          operator""ms(long double);
      constexpr chrono::microseconds                         operator""us(unsigned long long);
      constexpr chrono::duration<unspecified, micro>         operator""us(long double);
      constexpr chrono::nanoseconds                          operator""ns(unsigned long long);
      constexpr chrono::duration<unspecified, nano>          operator""ns(long double);
    }
  }
  namespace chrono {
    using namespace literals::chrono_literals;
  }
}Expression  | Return type  | Operational semantics  | 
C1::rep  | An arithmetic type or a class emulating an arithmetic type  | The representation type of C1::duration.  | 
C1::period  | a specialization of ratio  | The tick period of the clock in seconds.  | 
C1::duration  | chrono::duration<C1::rep, C1::period>  | The duration type of the clock.  | 
C1::time_point  | chrono::time_point<C1> or chrono::time_point<C2, C1::duration>  | The time_point type of the clock.   | 
C1::is_steady  | const bool  | |
C1::now()  | C1::time_point  | Returns a time_point object representing the current point in time.  | 
template <class Rep> struct treat_as_floating_point
  : is_floating_point<Rep> { };
template <class Rep>
struct duration_values {
public:
  static constexpr Rep zero();
  static constexpr Rep min();
  static constexpr Rep max();
};
static constexpr Rep zero();
static constexpr Rep min();
static constexpr Rep max();
template <class Rep1, class Period1, class Rep2, class Period2>
struct common_type<chrono::duration<Rep1, Period1>, chrono::duration<Rep2, Period2>> {
  using type = chrono::duration<common_type_t<Rep1, Rep2>, see below>;
};
template <class Clock, class Duration1, class Duration2>
struct common_type<chrono::time_point<Clock, Duration1>, chrono::time_point<Clock, Duration2>> {
  using type = chrono::time_point<Clock, common_type_t<Duration1, Duration2>>;
};
template <class Rep, class Period = ratio<1>>
class duration {
public:
  using rep    = Rep;
  using period = typename Period::type;
private:
  rep rep_;  // exposition only
public:
  // [time.duration.cons], construct/copy/destroy
  constexpr duration() = default;
  template <class Rep2>
      constexpr explicit duration(const Rep2& r);
  template <class Rep2, class Period2>
     constexpr duration(const duration<Rep2, Period2>& d);
  ~duration() = default;
  duration(const duration&) = default;
  duration& operator=(const duration&) = default;
  // [time.duration.observer], observer
  constexpr rep count() const;
  // [time.duration.arithmetic], arithmetic
  constexpr common_type_t<duration> operator+() const;
  constexpr common_type_t<duration> operator-() const;
  constexpr duration& operator++();
  constexpr duration  operator++(int);
  constexpr duration& operator--();
  constexpr duration  operator--(int);
  constexpr duration& operator+=(const duration& d);
  constexpr duration& operator-=(const duration& d);
  constexpr duration& operator*=(const rep& rhs);
  constexpr duration& operator/=(const rep& rhs);
  constexpr duration& operator%=(const rep& rhs);
  constexpr duration& operator%=(const duration& rhs);
  // [time.duration.special], special values
  static constexpr duration zero();
  static constexpr duration min();
  static constexpr duration max();
};duration<long, ratio<60>> d0; // holds a count of minutes using a long duration<long long, milli> d1; // holds a count of milliseconds using a long long duration<double, ratio<1, 30>> d2; // holds a count with a tick period of of a second // (30 Hz) using a double— end example
template <class Rep2>
  constexpr explicit duration(const Rep2& r);
template <class Rep2, class Period2>
  constexpr duration(const duration<Rep2, Period2>& d);
duration<int, milli> ms(3); duration<int, micro> us = ms; // OK duration<int, milli> ms2 = us; // error— end example
constexpr common_type_t<duration> operator+() const;
constexpr common_type_t<duration> operator-() const;
constexpr duration& operator++();
constexpr duration operator++(int);
constexpr duration& operator--();
constexpr duration operator--(int);
constexpr duration& operator+=(const duration& d);
constexpr duration& operator-=(const duration& d);
constexpr duration& operator*=(const rep& rhs);
constexpr duration& operator/=(const rep& rhs);
constexpr duration& operator%=(const rep& rhs);
constexpr duration& operator%=(const duration& rhs);
static constexpr duration zero();
static constexpr duration min();
static constexpr duration max();
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr common_type_t<duration<Rep1, Period1>, duration<Rep2, Period2>>
  operator+(const duration<Rep1, Period1>& lhs, const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr common_type_t<duration<Rep1, Period1>, duration<Rep2, Period2>>
  operator-(const duration<Rep1, Period1>& lhs, const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period, class Rep2>
  constexpr duration<common_type_t<Rep1, Rep2>, Period>
  operator*(const duration<Rep1, Period>& d, const Rep2& s);
template <class Rep1, class Rep2, class Period>
  constexpr duration<common_type_t<Rep1, Rep2>, Period>
  operator*(const Rep1& s, const duration<Rep2, Period>& d);
template <class Rep1, class Period, class Rep2>
  constexpr duration<common_type_t<Rep1, Rep2>, Period>
  operator/(const duration<Rep1, Period>& d, const Rep2& s);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr common_type_t<Rep1, Rep2>
  operator/(const duration<Rep1, Period1>& lhs, const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period, class Rep2>
  constexpr duration<common_type_t<Rep1, Rep2>, Period>
  operator%(const duration<Rep1, Period>& d, const Rep2& s);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr common_type_t<duration<Rep1, Period1>, duration<Rep2, Period2>>
  operator%(const duration<Rep1, Period1>& lhs, const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr bool operator==(const duration<Rep1, Period1>& lhs,
                            const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr bool operator!=(const duration<Rep1, Period1>& lhs,
                            const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr bool operator<(const duration<Rep1, Period1>& lhs,
                           const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr bool operator<=(const duration<Rep1, Period1>& lhs,
                            const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr bool operator>(const duration<Rep1, Period1>& lhs,
                           const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Rep2, class Period2>
  constexpr bool operator>=(const duration<Rep1, Period1>& lhs,
                            const duration<Rep2, Period2>& rhs);
template <class ToDuration, class Rep, class Period>
  constexpr ToDuration duration_cast(const duration<Rep, Period>& d);
ToDuration(static_cast<typename ToDuration::rep>(d.count()))
ToDuration(static_cast<typename ToDuration::rep>( static_cast<CR>(d.count()) * static_cast<CR>(CF::num)))
ToDuration(static_cast<typename ToDuration::rep>( static_cast<CR>(d.count()) / static_cast<CR>(CF::den)))
ToDuration(static_cast<typename ToDuration::rep>( static_cast<CR>(d.count()) * static_cast<CR>(CF::num) / static_cast<CR>(CF::den)))
template <class ToDuration, class Rep, class Period>
  constexpr ToDuration floor(const duration<Rep, Period>& d);
template <class ToDuration, class Rep, class Period>
  constexpr ToDuration ceil(const duration<Rep, Period>& d);
template <class ToDuration, class Rep, class Period>
  constexpr ToDuration round(const duration<Rep, Period>& d);
using namespace std::chrono_literals; auto constexpr aday=24h; auto constexpr lesson=45min; auto constexpr halfanhour=0.5h;— end example
constexpr chrono::hours                                 operator""h(unsigned long long hours);
constexpr chrono::duration<unspecified, ratio<3600, 1>> operator""h(long double hours);
constexpr chrono::minutes                             operator""min(unsigned long long minutes);
constexpr chrono::duration<unspecified, ratio<60, 1>> operator""min(long double minutes);
constexpr chrono::seconds               operator""s(unsigned long long sec);
constexpr chrono::duration<unspecified> operator""s(long double sec);
constexpr chrono::milliseconds                 operator""ms(unsigned long long msec);
constexpr chrono::duration<unspecified, milli> operator""ms(long double msec);
constexpr chrono::microseconds                 operator""us(unsigned long long usec);
constexpr chrono::duration<unspecified, micro> operator""us(long double usec);
constexpr chrono::nanoseconds                 operator""ns(unsigned long long nsec);
constexpr chrono::duration<unspecified, nano> operator""ns(long double nsec);
template <class Rep, class Period>
  constexpr duration<Rep, Period> abs(duration<Rep, Period> d);
template <class Clock, class Duration = typename Clock::duration>
class time_point {
public:
  using clock    = Clock;
  using duration = Duration;
  using rep      = typename duration::rep;
  using period   = typename duration::period;
private:
  duration d_;  // exposition only
public:
  // [time.point.cons], construct
  constexpr time_point();  // has value epoch
  constexpr explicit time_point(const duration& d);  // same as time_point() + d
  template <class Duration2>
    constexpr time_point(const time_point<clock, Duration2>& t);
  // [time.point.observer], observer
  constexpr duration time_since_epoch() const;
  // [time.point.arithmetic], arithmetic
  constexpr time_point& operator+=(const duration& d);
  constexpr time_point& operator-=(const duration& d);
  // [time.point.special], special values
  static constexpr time_point min();
  static constexpr time_point max();
};constexpr time_point();
constexpr explicit time_point(const duration& d);
template <class Duration2>
  constexpr time_point(const time_point<clock, Duration2>& t);
constexpr time_point& operator+=(const duration& d);
constexpr time_point& operator-=(const duration& d);
static constexpr time_point min();
static constexpr time_point max();
template <class Clock, class Duration1, class Rep2, class Period2>
  constexpr time_point<Clock, common_type_t<Duration1, duration<Rep2, Period2>>>
  operator+(const time_point<Clock, Duration1>& lhs, const duration<Rep2, Period2>& rhs);
template <class Rep1, class Period1, class Clock, class Duration2>
  constexpr time_point<Clock, common_type_t<duration<Rep1, Period1>, Duration2>>
  operator+(const duration<Rep1, Period1>& lhs, const time_point<Clock, Duration2>& rhs);
template <class Clock, class Duration1, class Rep2, class Period2>
  constexpr time_point<Clock, common_type_t<Duration1, duration<Rep2, Period2>>>
  operator-(const time_point<Clock, Duration1>& lhs, const duration<Rep2, Period2>& rhs);
template <class Clock, class Duration1, class Duration2>
  constexpr common_type_t<Duration1, Duration2>
  operator-(const time_point<Clock, Duration1>& lhs, const time_point<Clock, Duration2>& rhs);
template <class Clock, class Duration1, class Duration2>
  constexpr bool operator==(const time_point<Clock, Duration1>& lhs,
                            const time_point<Clock, Duration2>& rhs);
template <class Clock, class Duration1, class Duration2>
  constexpr bool operator!=(const time_point<Clock, Duration1>& lhs,
                            const time_point<Clock, Duration2>& rhs);
template <class Clock, class Duration1, class Duration2>
  constexpr bool operator<(const time_point<Clock, Duration1>& lhs,
                           const time_point<Clock, Duration2>& rhs);
template <class Clock, class Duration1, class Duration2>
  constexpr bool operator<=(const time_point<Clock, Duration1>& lhs,
                            const time_point<Clock, Duration2>& rhs);
template <class Clock, class Duration1, class Duration2>
  constexpr bool operator>(const time_point<Clock, Duration1>& lhs,
                           const time_point<Clock, Duration2>& rhs);
template <class Clock, class Duration1, class Duration2>
  constexpr bool operator>=(const time_point<Clock, Duration1>& lhs,
                            const time_point<Clock, Duration2>& rhs);
template <class ToDuration, class Clock, class Duration>
  constexpr time_point<Clock, ToDuration>
  time_point_cast(const time_point<Clock, Duration>& t);
template <class ToDuration, class Clock, class Duration>
  constexpr time_point<Clock, ToDuration>
  floor(const time_point<Clock, Duration>& tp);
template <class ToDuration, class Clock, class Duration>
  constexpr time_point<Clock, ToDuration>
  ceil(const time_point<Clock, Duration>& tp);
template <class ToDuration, class Clock, class Duration>
  constexpr time_point<Clock, ToDuration>
  round(const time_point<Clock, Duration>& tp);
class system_clock {
public:
  using rep        = see below;
  using period     = ratio<unspecified, unspecified>;
  using duration   = chrono::duration<rep, period>;
  using time_point = chrono::time_point<system_clock>;
  static constexpr bool is_steady = unspecified;
  static time_point now() noexcept;
  // Map to C API
  static time_t      to_time_t  (const time_point& t) noexcept;
  static time_point  from_time_t(time_t t) noexcept;
}; using system_clock::rep = unspecified;
static time_t to_time_t(const time_point& t) noexcept;
static time_point from_time_t(time_t t) noexcept;
class steady_clock {
public:
  using rep        = unspecified;
  using period     = ratio<unspecified, unspecified>;
  using duration   = chrono::duration<rep, period>;
  using time_point = chrono::time_point<unspecified, duration>;
  static constexpr bool is_steady = true;
  static time_point now() noexcept;
};
class high_resolution_clock {
public:
  using rep        = unspecified;
  using period     = ratio<unspecified, unspecified>;
  using duration   = chrono::duration<rep, period>;
  using time_point = chrono::time_point<unspecified, duration>;
  static constexpr bool is_steady = unspecified;
  static time_point now() noexcept;
};#define NULL see [support.types.nullptr] #define CLOCKS_PER_SEC see below #define TIME_UTC see below namespace std { using size_t = see [support.types.layout]; using clock_t = see below; using time_t = see below; struct timespec; struct tm; clock_t clock(); double difftime(time_t time1, time_t time0); time_t mktime(struct tm* timeptr); time_t time(time_t* timer); int timespec_get(timespec* ts, int base); char* asctime(const struct tm* timeptr); char* ctime(const time_t* timer); struct tm* gmtime(const time_t* timer); struct tm* localtime(const time_t* timer); size_t strftime(char* s, size_t maxsize, const char* format, const struct tm* timeptr); }