[ceph.git] / ceph / src / common / ceph_time.cc

// -*- mode:C++; tab-width:8; c-basic-offset:2; indent-tabs-mode:t -*-
// vim: ts=8 sw=2 smarttab
/*
 * Ceph - scalable distributed file system
 *
 * Copyright (C) 2004-2006 Sage Weil <sage@newdream.net>
 *
 * This is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License version 2.1, as published by the Free Software
 * Foundation.	See file COPYING.
 *
 */

// For ceph_timespec
#include "ceph_time.h"

#include <fmt/chrono.h>
#include <fmt/ostream.h>

#include "log/LogClock.h"
#include "config.h"
#include "strtol.h"

#if defined(__APPLE__)
#include <mach/mach.h>
#include <mach/mach_time.h>


#ifndef NSEC_PER_SEC
#define NSEC_PER_SEC 1000000000ULL
#endif

int clock_gettime(int clk_id, struct timespec *tp)
{
  if (clk_id == CLOCK_REALTIME) {
    // gettimeofday is much faster than clock_get_time
    struct timeval now;
    int ret = gettimeofday(&now, NULL);
    if (ret)
      return ret;
    tp->tv_sec = now.tv_sec;
    tp->tv_nsec = now.tv_usec * 1000L;
  } else {
    uint64_t t = mach_absolute_time();
    static mach_timebase_info_data_t timebase_info;
    if (timebase_info.denom == 0) {
      (void)mach_timebase_info(&timebase_info);
    }
    auto nanos = t * timebase_info.numer / timebase_info.denom;
    tp->tv_sec = nanos / NSEC_PER_SEC;
    tp->tv_nsec = nanos - (tp->tv_sec * NSEC_PER_SEC);
  }
  return 0;
}
#endif

using namespace std::literals;

namespace ceph {
using std::chrono::seconds;
using std::chrono::nanoseconds;
void real_clock::to_ceph_timespec(const time_point& t,
				  struct ceph_timespec& ts) {
  ts.tv_sec = to_time_t(t);
  ts.tv_nsec = (t.time_since_epoch() % 1s).count();
}
struct ceph_timespec real_clock::to_ceph_timespec(const time_point& t) {
  struct ceph_timespec ts;
  to_ceph_timespec(t, ts);
  return ts;
}
real_clock::time_point real_clock::from_ceph_timespec(
  const struct ceph_timespec& ts) {
  return time_point(seconds(ts.tv_sec) + nanoseconds(ts.tv_nsec));
}

void coarse_real_clock::to_ceph_timespec(const time_point& t,
					 struct ceph_timespec& ts) {
  ts.tv_sec = to_time_t(t);
  ts.tv_nsec = (t.time_since_epoch() % seconds(1)).count();
}
struct ceph_timespec coarse_real_clock::to_ceph_timespec(
  const time_point& t) {
  struct ceph_timespec ts;
  to_ceph_timespec(t, ts);
  return ts;
}
coarse_real_clock::time_point coarse_real_clock::from_ceph_timespec(
  const struct ceph_timespec& ts) {
  return time_point(seconds(ts.tv_sec) + nanoseconds(ts.tv_nsec));
}


using std::chrono::duration_cast;
using std::chrono::seconds;
using std::chrono::microseconds;

template<typename Clock,
	 typename std::enable_if<Clock::is_steady>::type*>
std::ostream& operator<<(std::ostream& m,
			 const std::chrono::time_point<Clock>& t) {
  return m << std::fixed << std::chrono::duration<double>(
    t.time_since_epoch()).count()
	   << 's';
}

template<typename Clock,
	 typename std::enable_if<!Clock::is_steady>::type*>
std::ostream& operator<<(std::ostream& m,
			 const std::chrono::time_point<Clock>& t) {
  m.setf(std::ios::right);
  char oldfill = m.fill();
  m.fill('0');
  // localtime.  this looks like an absolute time.
  //  conform to http://en.wikipedia.org/wiki/ISO_8601
  struct tm bdt;
  time_t tt = Clock::to_time_t(t);
  localtime_r(&tt, &bdt);
  char tz[32] = { 0 };
  strftime(tz, sizeof(tz), "%z", &bdt);
  m << std::setw(4) << (bdt.tm_year+1900)  // 2007 -> '07'
    << '-' << std::setw(2) << (bdt.tm_mon+1)
    << '-' << std::setw(2) << bdt.tm_mday
    << 'T'
    << std::setw(2) << bdt.tm_hour
    << ':' << std::setw(2) << bdt.tm_min
    << ':' << std::setw(2) << bdt.tm_sec
    << "." << std::setw(6) << duration_cast<microseconds>(
      t.time_since_epoch() % seconds(1)).count()
    << tz;
  m.fill(oldfill);
  m.unsetf(std::ios::right);
  return m;
}

template std::ostream&
operator<< <mono_clock>(std::ostream& m, const mono_time& t);
template std::ostream&
operator<< <real_clock>(std::ostream& m, const real_time& t);
template std::ostream&
operator<< <coarse_mono_clock>(std::ostream& m, const coarse_mono_time& t);
template std::ostream&
operator<< <coarse_real_clock>(std::ostream& m, const coarse_real_time& t);

std::string timespan_str(timespan t)
{
  // FIXME: somebody pretty please make a version of this function
  // that isn't as lame as this one!
  uint64_t nsec = std::chrono::nanoseconds(t).count();
  std::ostringstream ss;
  if (nsec < 2'000'000'000) {
    ss << ((float)nsec / 1'000'000'000) << "s";
    return ss.str();
  }
  uint64_t sec = nsec / 1'000'000'000;
  if (sec < 120) {
    ss << sec << "s";
    return ss.str();
  }
  uint64_t min = sec / 60;
  if (min < 120) {
    ss << min << "m";
    return ss.str();
  }
  uint64_t hr = min / 60;
  if (hr < 48) {
    ss << hr << "h";
    return ss.str();
  }
  uint64_t day = hr / 24;
  if (day < 14) {
    ss << day << "d";
    return ss.str();
  }
  uint64_t wk = day / 7;
  if (wk < 12) {
    ss << wk << "w";
    return ss.str();
  }
  uint64_t mn = day / 30;
  if (mn < 24) {
    ss << mn << "M";
    return ss.str();
  }
  uint64_t yr = day / 365;
  ss << yr << "y";
  return ss.str();
}

std::string exact_timespan_str(timespan t)
{
  uint64_t nsec = std::chrono::nanoseconds(t).count();
  uint64_t sec = nsec / 1'000'000'000;
  nsec %= 1'000'000'000;
  uint64_t yr = sec / (60 * 60 * 24 * 365);
  std::ostringstream ss;
  if (yr) {
    ss << yr << "y";
    sec -= yr * (60 * 60 * 24 * 365);
  }
  uint64_t mn = sec / (60 * 60 * 24 * 30);
  if (mn >= 3) {
    ss << mn << "mo";
    sec -= mn * (60 * 60 * 24 * 30);
  }
  uint64_t wk = sec / (60 * 60 * 24 * 7);
  if (wk >= 2) {
    ss << wk << "w";
    sec -= wk * (60 * 60 * 24 * 7);
  }
  uint64_t day = sec / (60 * 60 * 24);
  if (day >= 2) {
    ss << day << "d";
    sec -= day * (60 * 60 * 24);
  }
  uint64_t hr = sec / (60 * 60);
  if (hr >= 2) {
    ss << hr << "h";
    sec -= hr * (60 * 60);
  }
  uint64_t min = sec / 60;
  if (min >= 2) {
    ss << min << "m";
    sec -= min * 60;
  }
  if (sec || nsec) {
    if (nsec) {
      ss << (((float)nsec / 1'000'000'000) + sec) << "s";
    } else {
      ss << sec << "s";
    }
  }
  return ss.str();
}

std::chrono::seconds parse_timespan(const std::string& s)
{
  static std::map<std::string,int> units = {
    { "s", 1 },
    { "sec", 1 },
    { "second", 1 },
    { "seconds", 1 },
    { "m", 60 },
    { "min", 60 },
    { "minute", 60 },
    { "minutes", 60 },
    { "h", 60*60 },
    { "hr", 60*60 },
    { "hour", 60*60 },
    { "hours", 60*60 },
    { "d", 24*60*60 },
    { "day", 24*60*60 },
    { "days", 24*60*60 },
    { "w", 7*24*60*60 },
    { "wk", 7*24*60*60 },
    { "week", 7*24*60*60 },
    { "weeks", 7*24*60*60 },
    { "mo", 30*24*60*60 },
    { "month", 30*24*60*60 },
    { "months", 30*24*60*60 },
    { "y", 365*24*60*60 },
    { "yr", 365*24*60*60 },
    { "year", 365*24*60*60 },
    { "years", 365*24*60*60 },
  };

  auto r = 0s;
  auto pos = 0u;
  while (pos < s.size()) {
    // skip whitespace
    while (std::isspace(s[pos])) {
      ++pos;
    }
    if (pos >= s.size()) {
      break;
    }

    // consume any digits
    auto val_start = pos;
    while (std::isdigit(s[pos])) {
      ++pos;
    }
    if (val_start == pos) {
      throw std::invalid_argument("expected digit");
    }
    auto n = s.substr(val_start, pos - val_start);
    std::string err;
    auto val = strict_strtoll(n.c_str(), 10, &err);
    if (err.size()) {
      throw std::invalid_argument(err);
    }

    // skip whitespace
    while (std::isspace(s[pos])) {
      ++pos;
    }

    // consume unit
    auto unit_start = pos;
    while (std::isalpha(s[pos])) {
      ++pos;
    }
    if (unit_start != pos) {
      auto unit = s.substr(unit_start, pos - unit_start);
      auto p = units.find(unit);
      if (p == units.end()) {
	throw std::invalid_argument("unrecogized unit '"s + unit + "'");
      }
      val *= p->second;
    } else if (pos < s.size()) {
      throw std::invalid_argument("unexpected trailing '"s + s.substr(pos) + "'");
    }
    r += std::chrono::seconds(val);
  }
  return r;
}

}

namespace std {
template<typename Rep, typename Period>
ostream& operator<<(ostream& m, const chrono::duration<Rep, Period>& t) {
  if constexpr (chrono::treat_as_floating_point_v<Rep> ||
                Period::den > 1) {
    using seconds_t = chrono::duration<float>;
    ::fmt::print(m, "{:.9}", chrono::duration_cast<seconds_t>(t));
  } else {
    ::fmt::print(m, "{}", t);
  }
  return m;
}

template ostream&
operator<< <::ceph::timespan::rep,
            ::ceph::timespan::period> (ostream&, const ::ceph::timespan&);

template ostream&
operator<< <::ceph::signedspan::rep,
            ::ceph::signedspan::period> (ostream&, const ::ceph::signedspan&);

template ostream&
operator<< <chrono::seconds::rep,
            chrono::seconds::period> (ostream&, const chrono::seconds&);

template ostream&
operator<< <chrono::milliseconds::rep,
            chrono::milliseconds::period> (ostream&, const chrono::milliseconds&);

} // namespace std
Commit	Line	Data
7c673cae FG	1	// -- mode:C++; tab-width:8; c-basic-offset:2; indent-tabs-mode:t --
	2	// vim: ts=8 sw=2 smarttab
	3	/*
	4	* Ceph - scalable distributed file system
	5	*
	6	* Copyright (C) 2004-2006 Sage Weil <sage@newdream.net>
	7	*
	8	* This is free software; you can redistribute it and/or
	9	* modify it under the terms of the GNU Lesser General Public
	10	* License version 2.1, as published by the Free Software
	11	* Foundation. See file COPYING.
	12	*
	13	*/
	14
	15	// For ceph_timespec
7c673cae	16	#include "ceph_time.h"
f67539c2 TL	17
	18	#include <fmt/chrono.h>
	19	#include <fmt/ostream.h>
	20
11fdf7f2	21	#include "log/LogClock.h"
7c673cae	22	#include "config.h"
11fdf7f2 TL	23	#include "strtol.h"
	24
	25	#if defined(__APPLE__)
	26	#include <mach/mach.h>
	27	#include <mach/mach_time.h>
	28
11fdf7f2 TL	29
	30	#ifndef NSEC_PER_SEC
	31	#define NSEC_PER_SEC 1000000000ULL
	32	#endif
7c673cae	33
7c673cae FG	34	int clock_gettime(int clk_id, struct timespec *tp)
7c673cae FG	35	{
11fdf7f2	36	if (clk_id == CLOCK_REALTIME) {
7c673cae FG	37	// gettimeofday is much faster than clock_get_time
	38	struct timeval now;
	39	int ret = gettimeofday(&now, NULL);
	40	if (ret)
	41	return ret;
	42	tp->tv_sec = now.tv_sec;
	43	tp->tv_nsec = now.tv_usec * 1000L;
	44	} else {
11fdf7f2 TL	45	uint64_t t = mach_absolute_time();
	46	static mach_timebase_info_data_t timebase_info;
	47	if (timebase_info.denom == 0) {
	48	(void)mach_timebase_info(&timebase_info);
	49	}
	50	auto nanos = t * timebase_info.numer / timebase_info.denom;
	51	tp->tv_sec = nanos / NSEC_PER_SEC;
	52	tp->tv_nsec = nanos - (tp->tv_sec * NSEC_PER_SEC);
7c673cae FG	53	}
	54	return 0;
	55	}
	56	#endif
	57
f67539c2 TL	58	using namespace std::literals;
f67539c2 TL	59
7c673cae	60	namespace ceph {
f67539c2 TL	61	using std::chrono::seconds;
	62	using std::chrono::nanoseconds;
	63	void real_clock::to_ceph_timespec(const time_point& t,
	64	struct ceph_timespec& ts) {
	65	ts.tv_sec = to_time_t(t);
	66	ts.tv_nsec = (t.time_since_epoch() % 1s).count();
	67	}
	68	struct ceph_timespec real_clock::to_ceph_timespec(const time_point& t) {
	69	struct ceph_timespec ts;
	70	to_ceph_timespec(t, ts);
	71	return ts;
	72	}
	73	real_clock::time_point real_clock::from_ceph_timespec(
	74	const struct ceph_timespec& ts) {
	75	return time_point(seconds(ts.tv_sec) + nanoseconds(ts.tv_nsec));
	76	}
7c673cae	77
f67539c2 TL	78	void coarse_real_clock::to_ceph_timespec(const time_point& t,
	79	struct ceph_timespec& ts) {
	80	ts.tv_sec = to_time_t(t);
	81	ts.tv_nsec = (t.time_since_epoch() % seconds(1)).count();
	82	}
	83	struct ceph_timespec coarse_real_clock::to_ceph_timespec(
	84	const time_point& t) {
	85	struct ceph_timespec ts;
	86	to_ceph_timespec(t, ts);
	87	return ts;
	88	}
	89	coarse_real_clock::time_point coarse_real_clock::from_ceph_timespec(
	90	const struct ceph_timespec& ts) {
	91	return time_point(seconds(ts.tv_sec) + nanoseconds(ts.tv_nsec));
	92	}
11fdf7f2	93
7c673cae	94
f67539c2 TL	95	using std::chrono::duration_cast;
	96	using std::chrono::seconds;
	97	using std::chrono::microseconds;
7c673cae	98
f67539c2 TL	99	template<typename Clock,
	100	typename std::enable_if<Clock::is_steady>::type*>
	101	std::ostream& operator<<(std::ostream& m,
	102	const std::chrono::time_point<Clock>& t) {
	103	return m << std::fixed << std::chrono::duration<double>(
	104	t.time_since_epoch()).count()
	105	<< 's';
	106	}
7c673cae	107
f67539c2 TL	108	template<typename Clock,
	109	typename std::enable_if<!Clock::is_steady>::type*>
	110	std::ostream& operator<<(std::ostream& m,
	111	const std::chrono::time_point<Clock>& t) {
	112	m.setf(std::ios::right);
	113	char oldfill = m.fill();
	114	m.fill('0');
	115	// localtime. this looks like an absolute time.
	116	// conform to http://en.wikipedia.org/wiki/ISO_8601
	117	struct tm bdt;
	118	time_t tt = Clock::to_time_t(t);
	119	localtime_r(&tt, &bdt);
	120	char tz[32] = { 0 };
	121	strftime(tz, sizeof(tz), "%z", &bdt);
	122	m << std::setw(4) << (bdt.tm_year+1900) // 2007 -> '07'
	123	<< '-' << std::setw(2) << (bdt.tm_mon+1)
	124	<< '-' << std::setw(2) << bdt.tm_mday
	125	<< 'T'
	126	<< std::setw(2) << bdt.tm_hour
	127	<< ':' << std::setw(2) << bdt.tm_min
	128	<< ':' << std::setw(2) << bdt.tm_sec
	129	<< "." << std::setw(6) << duration_cast<microseconds>(
	130	t.time_since_epoch() % seconds(1)).count()
	131	<< tz;
	132	m.fill(oldfill);
	133	m.unsetf(std::ios::right);
	134	return m;
	135	}
7c673cae	136
f67539c2 TL	137	template std::ostream&
	138	operator<< <mono_clock>(std::ostream& m, const mono_time& t);
	139	template std::ostream&
	140	operator<< <real_clock>(std::ostream& m, const real_time& t);
	141	template std::ostream&
	142	operator<< <coarse_mono_clock>(std::ostream& m, const coarse_mono_time& t);
	143	template std::ostream&
	144	operator<< <coarse_real_clock>(std::ostream& m, const coarse_real_time& t);
7c673cae	145
f67539c2 TL	146	std::string timespan_str(timespan t)
	147	{
	148	// FIXME: somebody pretty please make a version of this function
	149	// that isn't as lame as this one!
	150	uint64_t nsec = std::chrono::nanoseconds(t).count();
	151	std::ostringstream ss;
20effc67 TL	152	if (nsec < 2'000'000'000) {
20effc67 TL	153	ss << ((float)nsec / 1'000'000'000) << "s";
f67539c2 TL	154	return ss.str();
f67539c2 TL	155	}
20effc67	156	uint64_t sec = nsec / 1'000'000'000;
f67539c2 TL	157	if (sec < 120) {
	158	ss << sec << "s";
	159	return ss.str();
	160	}
	161	uint64_t min = sec / 60;
	162	if (min < 120) {
	163	ss << min << "m";
	164	return ss.str();
	165	}
	166	uint64_t hr = min / 60;
	167	if (hr < 48) {
	168	ss << hr << "h";
	169	return ss.str();
	170	}
	171	uint64_t day = hr / 24;
	172	if (day < 14) {
	173	ss << day << "d";
	174	return ss.str();
	175	}
	176	uint64_t wk = day / 7;
	177	if (wk < 12) {
	178	ss << wk << "w";
	179	return ss.str();
	180	}
	181	uint64_t mn = day / 30;
	182	if (mn < 24) {
	183	ss << mn << "M";
	184	return ss.str();
	185	}
	186	uint64_t yr = day / 365;
	187	ss << yr << "y";
	188	return ss.str();
	189	}
11fdf7f2	190
f67539c2 TL	191	std::string exact_timespan_str(timespan t)
	192	{
	193	uint64_t nsec = std::chrono::nanoseconds(t).count();
20effc67 TL	194	uint64_t sec = nsec / 1'000'000'000;
20effc67 TL	195	nsec %= 1'000'000'000;
f67539c2 TL	196	uint64_t yr = sec / (60 * 60 * 24 * 365);
	197	std::ostringstream ss;
	198	if (yr) {
11fdf7f2	199	ss << yr << "y";
f67539c2 TL	200	sec -= yr * (60 * 60 * 24 * 365);
	201	}
	202	uint64_t mn = sec / (60 * 60 * 24 * 30);
	203	if (mn >= 3) {
	204	ss << mn << "mo";
	205	sec -= mn * (60 * 60 * 24 * 30);
	206	}
	207	uint64_t wk = sec / (60 * 60 * 24 * 7);
	208	if (wk >= 2) {
	209	ss << wk << "w";
	210	sec -= wk * (60 * 60 * 24 * 7);
	211	}
	212	uint64_t day = sec / (60 * 60 * 24);
	213	if (day >= 2) {
	214	ss << day << "d";
	215	sec -= day * (60 * 60 * 24);
	216	}
	217	uint64_t hr = sec / (60 * 60);
	218	if (hr >= 2) {
	219	ss << hr << "h";
	220	sec -= hr * (60 * 60);
11fdf7f2	221	}
f67539c2 TL	222	uint64_t min = sec / 60;
	223	if (min >= 2) {
	224	ss << min << "m";
	225	sec -= min * 60;
	226	}
f67539c2	227	if (sec \|\| nsec) {
20effc67 TL	228	if (nsec) {
	229	ss << (((float)nsec / 1'000'000'000) + sec) << "s";
	230	} else {
	231	ss << sec << "s";
	232	}
f67539c2 TL	233	}
	234	return ss.str();
	235	}
11fdf7f2	236
f67539c2 TL	237	std::chrono::seconds parse_timespan(const std::string& s)
	238	{
	239	static std::map<std::string,int> units = {
	240	{ "s", 1 },
	241	{ "sec", 1 },
	242	{ "second", 1 },
	243	{ "seconds", 1 },
	244	{ "m", 60 },
	245	{ "min", 60 },
	246	{ "minute", 60 },
	247	{ "minutes", 60 },
	248	{ "h", 60*60 },
	249	{ "hr", 60*60 },
	250	{ "hour", 60*60 },
	251	{ "hours", 60*60 },
	252	{ "d", 246060 },
	253	{ "day", 246060 },
	254	{ "days", 246060 },
	255	{ "w", 72460*60 },
	256	{ "wk", 72460*60 },
	257	{ "week", 72460*60 },
	258	{ "weeks", 72460*60 },
	259	{ "mo", 302460*60 },
	260	{ "month", 302460*60 },
	261	{ "months", 302460*60 },
	262	{ "y", 3652460*60 },
	263	{ "yr", 3652460*60 },
	264	{ "year", 3652460*60 },
	265	{ "years", 3652460*60 },
	266	};
	267
	268	auto r = 0s;
	269	auto pos = 0u;
	270	while (pos < s.size()) {
	271	// skip whitespace
	272	while (std::isspace(s[pos])) {
	273	++pos;
11fdf7f2	274	}
f67539c2 TL	275	if (pos >= s.size()) {
f67539c2 TL	276	break;
11fdf7f2	277	}
f67539c2 TL	278
	279	// consume any digits
	280	auto val_start = pos;
	281	while (std::isdigit(s[pos])) {
	282	++pos;
11fdf7f2	283	}
f67539c2 TL	284	if (val_start == pos) {
f67539c2 TL	285	throw std::invalid_argument("expected digit");
11fdf7f2	286	}
f67539c2 TL	287	auto n = s.substr(val_start, pos - val_start);
	288	std::string err;
	289	auto val = strict_strtoll(n.c_str(), 10, &err);
	290	if (err.size()) {
	291	throw std::invalid_argument(err);
11fdf7f2	292	}
f67539c2 TL	293
	294	// skip whitespace
	295	while (std::isspace(s[pos])) {
	296	++pos;
11fdf7f2	297	}
f67539c2 TL	298
	299	// consume unit
	300	auto unit_start = pos;
	301	while (std::isalpha(s[pos])) {
	302	++pos;
11fdf7f2	303	}
f67539c2 TL	304	if (unit_start != pos) {
	305	auto unit = s.substr(unit_start, pos - unit_start);
	306	auto p = units.find(unit);
	307	if (p == units.end()) {
	308	throw std::invalid_argument("unrecogized unit '"s + unit + "'");
	309	}
	310	val *= p->second;
	311	} else if (pos < s.size()) {
	312	throw std::invalid_argument("unexpected trailing '"s + s.substr(pos) + "'");
11fdf7f2	313	}
f67539c2	314	r += std::chrono::seconds(val);
11fdf7f2	315	}
f67539c2 TL	316	return r;
f67539c2 TL	317	}
11fdf7f2	318
f67539c2	319	}
11fdf7f2	320
f67539c2 TL	321	namespace std {
	322	template<typename Rep, typename Period>
	323	ostream& operator<<(ostream& m, const chrono::duration<Rep, Period>& t) {
	324	if constexpr (chrono::treat_as_floating_point_v<Rep> \|\|
	325	Period::den > 1) {
	326	using seconds_t = chrono::duration<float>;
	327	::fmt::print(m, "{:.9}", chrono::duration_cast<seconds_t>(t));
	328	} else {
	329	::fmt::print(m, "{}", t);
	330	}
	331	return m;
	332	}
11fdf7f2	333
f67539c2 TL	334	template ostream&
	335	operator<< <::ceph::timespan::rep,
	336	::ceph::timespan::period> (ostream&, const ::ceph::timespan&);
11fdf7f2	337
f67539c2 TL	338	template ostream&
	339	operator<< <::ceph::signedspan::rep,
	340	::ceph::signedspan::period> (ostream&, const ::ceph::signedspan&);
11fdf7f2	341
f67539c2 TL	342	template ostream&
	343	operator<< <chrono::seconds::rep,
	344	chrono::seconds::period> (ostream&, const chrono::seconds&);
11fdf7f2	345
f67539c2 TL	346	template ostream&
	347	operator<< <chrono::milliseconds::rep,
	348	chrono::milliseconds::period> (ostream&, const chrono::milliseconds&);
	349
	350	} // namespace std