1    	// <chrono> -*- C++ -*-
2    	
3    	// Copyright (C) 2008-2019 Free Software Foundation, Inc.
4    	//
5    	// This file is part of the GNU ISO C++ Library.  This library is free
6    	// software; you can redistribute it and/or modify it under the
7    	// terms of the GNU General Public License as published by the
8    	// Free Software Foundation; either version 3, or (at your option)
9    	// any later version.
10   	
11   	// This library is distributed in the hope that it will be useful,
12   	// but WITHOUT ANY WARRANTY; without even the implied warranty of
13   	// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
14   	// GNU General Public License for more details.
15   	
16   	// Under Section 7 of GPL version 3, you are granted additional
17   	// permissions described in the GCC Runtime Library Exception, version
18   	// 3.1, as published by the Free Software Foundation.
19   	
20   	// You should have received a copy of the GNU General Public License and
21   	// a copy of the GCC Runtime Library Exception along with this program;
22   	// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
23   	// <http://www.gnu.org/licenses/>.
24   	
25   	/** @file include/chrono
26   	 *  This is a Standard C++ Library header.
27   	 */
28   	
29   	#ifndef _GLIBCXX_CHRONO
30   	#define _GLIBCXX_CHRONO 1
31   	
32   	#pragma GCC system_header
33   	
34   	#if __cplusplus < 201103L
35   	# include <bits/c++0x_warning.h>
36   	#else
37   	
38   	#include <ratio>
39   	#include <type_traits>
40   	#include <limits>
41   	#include <ctime>
42   	#include <bits/parse_numbers.h> // for literals support.
43   	
44   	namespace std _GLIBCXX_VISIBILITY(default)
45   	{
46   	_GLIBCXX_BEGIN_NAMESPACE_VERSION
47   	
48   	  /**
49   	   * @defgroup chrono Time
50   	   * @ingroup utilities
51   	   *
52   	   * Classes and functions for time.
53   	   * @{
54   	   */
55   	
56   	  /** @namespace std::chrono
57   	   *  @brief ISO C++ 2011 entities sub-namespace for time and date.
58   	   */
59   	  namespace chrono
60   	  {
61   	    template<typename _Rep, typename _Period = ratio<1>>
62   	      struct duration;
63   	
64   	    template<typename _Clock, typename _Dur = typename _Clock::duration>
65   	      struct time_point;
66   	  }
67   	
68   	  // 20.11.4.3 specialization of common_type (for duration, sfinae-friendly)
69   	
70   	  template<typename _CT, typename _Period1, typename _Period2>
71   	    struct __duration_common_type_wrapper
72   	    {
73   	    private:
74   	      typedef __static_gcd<_Period1::num, _Period2::num> __gcd_num;
75   	      typedef __static_gcd<_Period1::den, _Period2::den> __gcd_den;
76   	      typedef typename _CT::type __cr;
77   	      typedef ratio<__gcd_num::value,
78   	        (_Period1::den / __gcd_den::value) * _Period2::den> __r;
79   	    public:
80   	      typedef __success_type<chrono::duration<__cr, __r>> type;
81   	    };
82   	
83   	  template<typename _Period1, typename _Period2>
84   	    struct __duration_common_type_wrapper<__failure_type, _Period1, _Period2>
85   	    { typedef __failure_type type; };
86   	
87   	  template<typename _Rep1, typename _Period1, typename _Rep2, typename _Period2>
88   	    struct common_type<chrono::duration<_Rep1, _Period1>,
89   	             chrono::duration<_Rep2, _Period2>>
90   	    : public __duration_common_type_wrapper<typename __member_type_wrapper<
91   	             common_type<_Rep1, _Rep2>>::type, _Period1, _Period2>::type
92   	    { };
93   	
94   	  // 20.11.4.3 specialization of common_type (for time_point, sfinae-friendly)
95   	
96   	  template<typename _CT, typename _Clock>
97   	    struct __timepoint_common_type_wrapper
98   	    {
99   	      typedef __success_type<chrono::time_point<_Clock, typename _CT::type>>
100  	        type;
101  	    };
102  	
103  	  template<typename _Clock>
104  	    struct __timepoint_common_type_wrapper<__failure_type, _Clock>
105  	    { typedef __failure_type type; };
106  	
107  	  template<typename _Clock, typename _Duration1, typename _Duration2>
108  	    struct common_type<chrono::time_point<_Clock, _Duration1>,
109  	             chrono::time_point<_Clock, _Duration2>>
110  	    : public __timepoint_common_type_wrapper<typename __member_type_wrapper<
111  	             common_type<_Duration1, _Duration2>>::type, _Clock>::type
112  	    { };
113  	
114  	  namespace chrono
115  	  {
116  	    // Primary template for duration_cast impl.
117  	    template<typename _ToDur, typename _CF, typename _CR,
118  		     bool _NumIsOne = false, bool _DenIsOne = false>
119  	      struct __duration_cast_impl
120  	      {
121  		template<typename _Rep, typename _Period>
122  		  static constexpr _ToDur
123  		  __cast(const duration<_Rep, _Period>& __d)
124  		  {
125  		    typedef typename _ToDur::rep			__to_rep;
126  		    return _ToDur(static_cast<__to_rep>(static_cast<_CR>(__d.count())
127  		      * static_cast<_CR>(_CF::num)
128  		      / static_cast<_CR>(_CF::den)));
129  		  }
130  	      };
131  	
132  	    template<typename _ToDur, typename _CF, typename _CR>
133  	      struct __duration_cast_impl<_ToDur, _CF, _CR, true, true>
134  	      {
135  		template<typename _Rep, typename _Period>
136  		  static constexpr _ToDur
137  		  __cast(const duration<_Rep, _Period>& __d)
138  		  {
139  		    typedef typename _ToDur::rep			__to_rep;
140  		    return _ToDur(static_cast<__to_rep>(__d.count()));
141  		  }
142  	      };
143  	
144  	    template<typename _ToDur, typename _CF, typename _CR>
145  	      struct __duration_cast_impl<_ToDur, _CF, _CR, true, false>
146  	      {
147  		template<typename _Rep, typename _Period>
148  		  static constexpr _ToDur
149  		  __cast(const duration<_Rep, _Period>& __d)
150  		  {
151  		    typedef typename _ToDur::rep			__to_rep;
152  		    return _ToDur(static_cast<__to_rep>(
153  		      static_cast<_CR>(__d.count()) / static_cast<_CR>(_CF::den)));
154  		  }
155  	      };
156  	
157  	    template<typename _ToDur, typename _CF, typename _CR>
158  	      struct __duration_cast_impl<_ToDur, _CF, _CR, false, true>
159  	      {
160  		template<typename _Rep, typename _Period>
161  		  static constexpr _ToDur
162  		  __cast(const duration<_Rep, _Period>& __d)
163  		  {
164  		    typedef typename _ToDur::rep			__to_rep;
165  		    return _ToDur(static_cast<__to_rep>(
166  		      static_cast<_CR>(__d.count()) * static_cast<_CR>(_CF::num)));
167  		  }
168  	      };
169  	
170  	    template<typename _Tp>
171  	      struct __is_duration
172  	      : std::false_type
173  	      { };
174  	
175  	    template<typename _Rep, typename _Period>
176  	      struct __is_duration<duration<_Rep, _Period>>
177  	      : std::true_type
178  	      { };
179  	
180  	    template<typename _Tp>
181  	      using __enable_if_is_duration
182  		= typename enable_if<__is_duration<_Tp>::value, _Tp>::type;
183  	
184  	    template<typename _Tp>
185  	      using __disable_if_is_duration
186  		= typename enable_if<!__is_duration<_Tp>::value, _Tp>::type;
187  	
188  	    /// duration_cast
189  	    template<typename _ToDur, typename _Rep, typename _Period>
190  	      constexpr __enable_if_is_duration<_ToDur>
191  	      duration_cast(const duration<_Rep, _Period>& __d)
192  	      {
193  		typedef typename _ToDur::period				__to_period;
194  		typedef typename _ToDur::rep				__to_rep;
195  		typedef ratio_divide<_Period, __to_period> 		__cf;
196  		typedef typename common_type<__to_rep, _Rep, intmax_t>::type
197  		  							__cr;
198  		typedef  __duration_cast_impl<_ToDur, __cf, __cr,
199  					      __cf::num == 1, __cf::den == 1> __dc;
200  		return __dc::__cast(__d);
201  	      }
202  	
203  	    /// treat_as_floating_point
204  	    template<typename _Rep>
205  	      struct treat_as_floating_point
206  	      : is_floating_point<_Rep>
207  	      { };
208  	
209  	#if __cplusplus > 201402L
210  	    template <typename _Rep>
211  	      inline constexpr bool treat_as_floating_point_v =
212  	        treat_as_floating_point<_Rep>::value;
213  	#endif // C++17
214  	
215  	#if __cplusplus >= 201703L
216  	# define __cpp_lib_chrono 201611
217  	
218  	    template<typename _ToDur, typename _Rep, typename _Period>
219  	      constexpr __enable_if_is_duration<_ToDur>
220  	      floor(const duration<_Rep, _Period>& __d)
221  	      {
222  		auto __to = chrono::duration_cast<_ToDur>(__d);
223  		if (__to > __d)
224  		  return __to - _ToDur{1};
225  		return __to;
226  	      }
227  	
228  	    template<typename _ToDur, typename _Rep, typename _Period>
229  	      constexpr __enable_if_is_duration<_ToDur>
230  	      ceil(const duration<_Rep, _Period>& __d)
231  	      {
232  		auto __to = chrono::duration_cast<_ToDur>(__d);
233  		if (__to < __d)
234  		  return __to + _ToDur{1};
235  		return __to;
236  	      }
237  	
238  	    template <typename _ToDur, typename _Rep, typename _Period>
239  	      constexpr enable_if_t<
240  		__and_<__is_duration<_ToDur>,
241  		       __not_<treat_as_floating_point<typename _ToDur::rep>>>::value,
242  		_ToDur>
243  	      round(const duration<_Rep, _Period>& __d)
244  	      {
245  		_ToDur __t0 = chrono::floor<_ToDur>(__d);
246  		_ToDur __t1 = __t0 + _ToDur{1};
247  		auto __diff0 = __d - __t0;
248  		auto __diff1 = __t1 - __d;
249  		if (__diff0 == __diff1)
250  		{
251  		    if (__t0.count() & 1)
252  			return __t1;
253  		    return __t0;
254  		}
255  		else if (__diff0 < __diff1)
256  		    return __t0;
257  		return __t1;
258  	      }
259  	
260  	    template<typename _Rep, typename _Period>
261  	      constexpr
262  	      enable_if_t<numeric_limits<_Rep>::is_signed, duration<_Rep, _Period>>
263  	      abs(duration<_Rep, _Period> __d)
264  	      {
265  		if (__d >= __d.zero())
266  		  return __d;
267  		return -__d;
268  	      }
269  	#endif // C++17
270  	
271  	    /// duration_values
272  	    template<typename _Rep>
273  	      struct duration_values
274  	      {
275  		static constexpr _Rep
276  		zero() noexcept
277  		{ return _Rep(0); }
278  	
279  		static constexpr _Rep
280  		max() noexcept
281  		{ return numeric_limits<_Rep>::max(); }
282  	
283  		static constexpr _Rep
284  		min() noexcept
285  		{ return numeric_limits<_Rep>::lowest(); }
286  	      };
287  	
288  	    template<typename _Tp>
289  	      struct __is_ratio
290  	      : std::false_type
291  	      { };
292  	
293  	    template<intmax_t _Num, intmax_t _Den>
294  	      struct __is_ratio<ratio<_Num, _Den>>
295  	      : std::true_type
296  	      { };
297  	
298  	    /// duration
299  	    template<typename _Rep, typename _Period>
300  	      struct duration
301  	      {
302  	      private:
303  		template<typename _Rep2>
304  		  using __is_float = treat_as_floating_point<_Rep2>;
305  	
306  		// _Period2 is an exact multiple of _Period
307  		template<typename _Period2>
308  		  using __is_harmonic
309  		    = __bool_constant<ratio_divide<_Period2, _Period>::den == 1>;
310  	
311  	      public:
312  	
313  		typedef _Rep						rep;
314  		typedef _Period 					period;
315  	
316  		static_assert(!__is_duration<_Rep>::value, "rep cannot be a duration");
317  		static_assert(__is_ratio<_Period>::value,
318  			      "period must be a specialization of ratio");
319  		static_assert(_Period::num > 0, "period must be positive");
320  	
321  		// 20.11.5.1 construction / copy / destroy
322  		constexpr duration() = default;
323  	
324  		duration(const duration&) = default;
325  	
326  		// _GLIBCXX_RESOLVE_LIB_DEFECTS
327  		// 3050. Conversion specification problem in chrono::duration
328  		template<typename _Rep2, typename = _Require<
329  			 is_convertible<const _Rep2&, rep>,
330  			 __or_<__is_float<rep>, __not_<__is_float<_Rep2>>>>>
331  		  constexpr explicit duration(const _Rep2& __rep)
332  		  : __r(static_cast<rep>(__rep)) { }
333  	
334  		template<typename _Rep2, typename _Period2, typename = _Require<
335  			 __or_<__is_float<rep>,
336  			       __and_<__is_harmonic<_Period2>,
337  				      __not_<__is_float<_Rep2>>>>>>
338  		  constexpr duration(const duration<_Rep2, _Period2>& __d)
339  		  : __r(duration_cast<duration>(__d).count()) { }
340  	
341  		~duration() = default;
342  		duration& operator=(const duration&) = default;
343  	
344  		// 20.11.5.2 observer
345  		constexpr rep
346  		count() const
347  		{ return __r; }
348  	
349  		// 20.11.5.3 arithmetic
350  		constexpr duration
351  		operator+() const
352  		{ return *this; }
353  	
354  		constexpr duration
355  		operator-() const
356  		{ return duration(-__r); }
357  	
358  		_GLIBCXX17_CONSTEXPR duration&
359  		operator++()
360  		{
361  		  ++__r;
362  		  return *this;
363  		}
364  	
365  		_GLIBCXX17_CONSTEXPR duration
366  		operator++(int)
367  		{ return duration(__r++); }
368  	
369  		_GLIBCXX17_CONSTEXPR duration&
370  		operator--()
371  		{
372  		  --__r;
373  		  return *this;
374  		}
375  	
376  		_GLIBCXX17_CONSTEXPR duration
377  		operator--(int)
378  		{ return duration(__r--); }
379  	
380  		_GLIBCXX17_CONSTEXPR duration&
381  		operator+=(const duration& __d)
382  		{
383  		  __r += __d.count();
384  		  return *this;
385  		}
386  	
387  		_GLIBCXX17_CONSTEXPR duration&
388  		operator-=(const duration& __d)
389  		{
390  		  __r -= __d.count();
391  		  return *this;
392  		}
393  	
394  		_GLIBCXX17_CONSTEXPR duration&
395  		operator*=(const rep& __rhs)
396  		{
397  		  __r *= __rhs;
398  		  return *this;
399  		}
400  	
401  		_GLIBCXX17_CONSTEXPR duration&
402  		operator/=(const rep& __rhs)
403  		{
404  		  __r /= __rhs;
405  		  return *this;
406  		}
407  	
408  		// DR 934.
409  		template<typename _Rep2 = rep>
410  		  _GLIBCXX17_CONSTEXPR
411  		  typename enable_if<!treat_as_floating_point<_Rep2>::value,
412  				     duration&>::type
413  		  operator%=(const rep& __rhs)
414  		  {
415  		    __r %= __rhs;
416  		    return *this;
417  		  }
418  	
419  		template<typename _Rep2 = rep>
420  		  _GLIBCXX17_CONSTEXPR
421  		  typename enable_if<!treat_as_floating_point<_Rep2>::value,
422  				     duration&>::type
423  		  operator%=(const duration& __d)
424  		  {
425  		    __r %= __d.count();
426  		    return *this;
427  		  }
428  	
429  		// 20.11.5.4 special values
430  		static constexpr duration
431  		zero() noexcept
432  		{ return duration(duration_values<rep>::zero()); }
433  	
434  		static constexpr duration
435  		min() noexcept
436  		{ return duration(duration_values<rep>::min()); }
437  	
438  		static constexpr duration
439  		max() noexcept
440  		{ return duration(duration_values<rep>::max()); }
441  	
442  	      private:
(1) Event member_decl: Class member declaration for "__r".
(3) Event member_decl: Class member declaration for "__r".
Also see events: [uninit_member][uninit_member]
443  		rep __r;
444  	      };
445  	
446  	    template<typename _Rep1, typename _Period1,
447  		     typename _Rep2, typename _Period2>
448  	      constexpr typename common_type<duration<_Rep1, _Period1>,
449  					     duration<_Rep2, _Period2>>::type
450  	      operator+(const duration<_Rep1, _Period1>& __lhs,
451  			const duration<_Rep2, _Period2>& __rhs)
452  	      {
453  		typedef duration<_Rep1, _Period1>			__dur1;
454  		typedef duration<_Rep2, _Period2>			__dur2;
455  		typedef typename common_type<__dur1,__dur2>::type	__cd;
456  		return __cd(__cd(__lhs).count() + __cd(__rhs).count());
457  	      }
458  	
459  	    template<typename _Rep1, typename _Period1,
460  		     typename _Rep2, typename _Period2>
461  	      constexpr typename common_type<duration<_Rep1, _Period1>,
462  					     duration<_Rep2, _Period2>>::type
463  	      operator-(const duration<_Rep1, _Period1>& __lhs,
464  			const duration<_Rep2, _Period2>& __rhs)
465  	      {
466  		typedef duration<_Rep1, _Period1>			__dur1;
467  		typedef duration<_Rep2, _Period2>			__dur2;
468  		typedef typename common_type<__dur1,__dur2>::type	__cd;
469  		return __cd(__cd(__lhs).count() - __cd(__rhs).count());
470  	      }
471  	
472  	    // SFINAE helper to obtain common_type<_Rep1, _Rep2> only if _Rep2
473  	    // is implicitly convertible to it.
474  	    // _GLIBCXX_RESOLVE_LIB_DEFECTS
475  	    // 3050. Conversion specification problem in chrono::duration constructor
476  	    template<typename _Rep1, typename _Rep2,
477  		     typename _CRep = typename common_type<_Rep1, _Rep2>::type>
478  	      using __common_rep_t = typename
479  		enable_if<is_convertible<const _Rep2&, _CRep>::value, _CRep>::type;
480  	
481  	    template<typename _Rep1, typename _Period, typename _Rep2>
482  	      constexpr duration<__common_rep_t<_Rep1, _Rep2>, _Period>
483  	      operator*(const duration<_Rep1, _Period>& __d, const _Rep2& __s)
484  	      {
485  		typedef duration<typename common_type<_Rep1, _Rep2>::type, _Period>
486  		  __cd;
487  		return __cd(__cd(__d).count() * __s);
488  	      }
489  	
490  	    template<typename _Rep1, typename _Rep2, typename _Period>
491  	      constexpr duration<__common_rep_t<_Rep2, _Rep1>, _Period>
492  	      operator*(const _Rep1& __s, const duration<_Rep2, _Period>& __d)
493  	      { return __d * __s; }
494  	
495  	    template<typename _Rep1, typename _Period, typename _Rep2>
496  	      constexpr
497  	      duration<__common_rep_t<_Rep1, __disable_if_is_duration<_Rep2>>, _Period>
498  	      operator/(const duration<_Rep1, _Period>& __d, const _Rep2& __s)
499  	      {
500  		typedef duration<typename common_type<_Rep1, _Rep2>::type, _Period>
501  		  __cd;
502  		return __cd(__cd(__d).count() / __s);
503  	      }
504  	
505  	    template<typename _Rep1, typename _Period1,
506  		     typename _Rep2, typename _Period2>
507  	      constexpr typename common_type<_Rep1, _Rep2>::type
508  	      operator/(const duration<_Rep1, _Period1>& __lhs,
509  			const duration<_Rep2, _Period2>& __rhs)
510  	      {
511  		typedef duration<_Rep1, _Period1>			__dur1;
512  		typedef duration<_Rep2, _Period2>			__dur2;
513  		typedef typename common_type<__dur1,__dur2>::type	__cd;
514  		return __cd(__lhs).count() / __cd(__rhs).count();
515  	      }
516  	
517  	    // DR 934.
518  	    template<typename _Rep1, typename _Period, typename _Rep2>
519  	      constexpr
520  	      duration<__common_rep_t<_Rep1, __disable_if_is_duration<_Rep2>>, _Period>
521  	      operator%(const duration<_Rep1, _Period>& __d, const _Rep2& __s)
522  	      {
523  		typedef duration<typename common_type<_Rep1, _Rep2>::type, _Period>
524  		  __cd;
525  		return __cd(__cd(__d).count() % __s);
526  	      }
527  	
528  	    template<typename _Rep1, typename _Period1,
529  		     typename _Rep2, typename _Period2>
530  	      constexpr typename common_type<duration<_Rep1, _Period1>,
531  					     duration<_Rep2, _Period2>>::type
532  	      operator%(const duration<_Rep1, _Period1>& __lhs,
533  			const duration<_Rep2, _Period2>& __rhs)
534  	      {
535  		typedef duration<_Rep1, _Period1>			__dur1;
536  		typedef duration<_Rep2, _Period2>			__dur2;
537  		typedef typename common_type<__dur1,__dur2>::type	__cd;
538  		return __cd(__cd(__lhs).count() % __cd(__rhs).count());
539  	      }
540  	
541  	    // comparisons
542  	    template<typename _Rep1, typename _Period1,
543  		     typename _Rep2, typename _Period2>
544  	      constexpr bool
545  	      operator==(const duration<_Rep1, _Period1>& __lhs,
546  			 const duration<_Rep2, _Period2>& __rhs)
547  	      {
548  		typedef duration<_Rep1, _Period1>			__dur1;
549  		typedef duration<_Rep2, _Period2>			__dur2;
550  		typedef typename common_type<__dur1,__dur2>::type	__ct;
551  		return __ct(__lhs).count() == __ct(__rhs).count();
552  	      }
553  	
554  	    template<typename _Rep1, typename _Period1,
555  		     typename _Rep2, typename _Period2>
556  	      constexpr bool
557  	      operator<(const duration<_Rep1, _Period1>& __lhs,
558  			const duration<_Rep2, _Period2>& __rhs)
559  	      {
560  		typedef duration<_Rep1, _Period1>			__dur1;
561  		typedef duration<_Rep2, _Period2>			__dur2;
562  		typedef typename common_type<__dur1,__dur2>::type	__ct;
563  		return __ct(__lhs).count() < __ct(__rhs).count();
564  	      }
565  	
566  	    template<typename _Rep1, typename _Period1,
567  		     typename _Rep2, typename _Period2>
568  	      constexpr bool
569  	      operator!=(const duration<_Rep1, _Period1>& __lhs,
570  			 const duration<_Rep2, _Period2>& __rhs)
571  	      { return !(__lhs == __rhs); }
572  	
573  	    template<typename _Rep1, typename _Period1,
574  		     typename _Rep2, typename _Period2>
575  	      constexpr bool
576  	      operator<=(const duration<_Rep1, _Period1>& __lhs,
577  			 const duration<_Rep2, _Period2>& __rhs)
578  	      { return !(__rhs < __lhs); }
579  	
580  	    template<typename _Rep1, typename _Period1,
581  		     typename _Rep2, typename _Period2>
582  	      constexpr bool
583  	      operator>(const duration<_Rep1, _Period1>& __lhs,
584  			const duration<_Rep2, _Period2>& __rhs)
585  	      { return __rhs < __lhs; }
586  	
587  	    template<typename _Rep1, typename _Period1,
588  		     typename _Rep2, typename _Period2>
589  	      constexpr bool
590  	      operator>=(const duration<_Rep1, _Period1>& __lhs,
591  			 const duration<_Rep2, _Period2>& __rhs)
592  	      { return !(__lhs < __rhs); }
593  	
594  	#ifdef _GLIBCXX_USE_C99_STDINT_TR1
595  	# define _GLIBCXX_CHRONO_INT64_T int64_t
596  	#elif defined __INT64_TYPE__
597  	# define _GLIBCXX_CHRONO_INT64_T __INT64_TYPE__
598  	#else
599  	    static_assert(std::numeric_limits<unsigned long long>::digits >= 64,
600  		"Representation type for nanoseconds must have at least 64 bits");
601  	# define _GLIBCXX_CHRONO_INT64_T long long
602  	#endif
603  	
604  	    /// nanoseconds
605  	    typedef duration<_GLIBCXX_CHRONO_INT64_T, nano> 	    nanoseconds;
606  	
607  	    /// microseconds
608  	    typedef duration<_GLIBCXX_CHRONO_INT64_T, micro> 	    microseconds;
609  	
610  	    /// milliseconds
611  	    typedef duration<_GLIBCXX_CHRONO_INT64_T, milli> 	    milliseconds;
612  	
613  	    /// seconds
614  	    typedef duration<_GLIBCXX_CHRONO_INT64_T> 		    seconds;
615  	
616  	    /// minutes
617  	    typedef duration<_GLIBCXX_CHRONO_INT64_T, ratio< 60>>   minutes;
618  	
619  	    /// hours
620  	    typedef duration<_GLIBCXX_CHRONO_INT64_T, ratio<3600>>  hours;
621  	
622  	#undef _GLIBCXX_CHRONO_INT64_T
623  	
624  	    /// time_point
625  	    template<typename _Clock, typename _Dur>
626  	      struct time_point
627  	      {
628  		typedef _Clock			  			clock;
629  		typedef _Dur		  				duration;
630  		typedef typename duration::rep	  			rep;
631  		typedef typename duration::period			period;
632  	
633  		constexpr time_point() : __d(duration::zero())
634  		{ }
635  	
636  		constexpr explicit time_point(const duration& __dur)
637  		: __d(__dur)
638  		{ }
639  	
640  		// conversions
641  		template<typename _Dur2,
642  			 typename = _Require<is_convertible<_Dur2, _Dur>>>
643  		  constexpr time_point(const time_point<clock, _Dur2>& __t)
644  		  : __d(__t.time_since_epoch())
645  		  { }
646  	
647  		// observer
648  		constexpr duration
649  		time_since_epoch() const
650  		{ return __d; }
651  	
652  		// arithmetic
653  		_GLIBCXX17_CONSTEXPR time_point&
654  		operator+=(const duration& __dur)
655  		{
656  		  __d += __dur;
657  		  return *this;
658  		}
659  	
660  		_GLIBCXX17_CONSTEXPR time_point&
661  		operator-=(const duration& __dur)
662  		{
663  		  __d -= __dur;
664  		  return *this;
665  		}
666  	
667  		// special values
668  		static constexpr time_point
669  		min() noexcept
670  		{ return time_point(duration::min()); }
671  	
672  		static constexpr time_point
673  		max() noexcept
674  		{ return time_point(duration::max()); }
675  	
676  	      private:
677  		duration __d;
678  	      };
679  	
680  	    /// time_point_cast
681  	    template<typename _ToDur, typename _Clock, typename _Dur>
682  	      constexpr typename enable_if<__is_duration<_ToDur>::value,
683  					   time_point<_Clock, _ToDur>>::type
684  	      time_point_cast(const time_point<_Clock, _Dur>& __t)
685  	      {
686  		typedef time_point<_Clock, _ToDur> 			__time_point;
687  		return __time_point(duration_cast<_ToDur>(__t.time_since_epoch()));
688  	      }
689  	
690  	#if __cplusplus > 201402L
691  	    template<typename _ToDur, typename _Clock, typename _Dur>
692  	      constexpr
693  	      enable_if_t<__is_duration<_ToDur>::value, time_point<_Clock, _ToDur>>
694  	      floor(const time_point<_Clock, _Dur>& __tp)
695  	      {
696  		return time_point<_Clock, _ToDur>{
697  		    chrono::floor<_ToDur>(__tp.time_since_epoch())};
698  	      }
699  	
700  	    template<typename _ToDur, typename _Clock, typename _Dur>
701  	      constexpr
702  	      enable_if_t<__is_duration<_ToDur>::value, time_point<_Clock, _ToDur>>
703  	      ceil(const time_point<_Clock, _Dur>& __tp)
704  	      {
705  		return time_point<_Clock, _ToDur>{
706  		    chrono::ceil<_ToDur>(__tp.time_since_epoch())};
707  	      }
708  	
709  	    template<typename _ToDur, typename _Clock, typename _Dur>
710  	      constexpr enable_if_t<
711  		__and_<__is_duration<_ToDur>,
712  		       __not_<treat_as_floating_point<typename _ToDur::rep>>>::value,
713  		time_point<_Clock, _ToDur>>
714  	      round(const time_point<_Clock, _Dur>& __tp)
715  	      {
716  		return time_point<_Clock, _ToDur>{
717  		    chrono::round<_ToDur>(__tp.time_since_epoch())};
718  	      }
719  	#endif // C++17
720  	
721  	    template<typename _Clock, typename _Dur1,
722  		     typename _Rep2, typename _Period2>
723  	      constexpr time_point<_Clock,
724  		typename common_type<_Dur1, duration<_Rep2, _Period2>>::type>
725  	      operator+(const time_point<_Clock, _Dur1>& __lhs,
726  			const duration<_Rep2, _Period2>& __rhs)
727  	      {
728  		typedef duration<_Rep2, _Period2>			__dur2;
729  		typedef typename common_type<_Dur1,__dur2>::type	__ct;
730  		typedef time_point<_Clock, __ct> 			__time_point;
731  		return __time_point(__lhs.time_since_epoch() + __rhs);
732  	      }
733  	
734  	    template<typename _Rep1, typename _Period1,
735  		     typename _Clock, typename _Dur2>
736  	      constexpr time_point<_Clock,
737  		typename common_type<duration<_Rep1, _Period1>, _Dur2>::type>
738  	      operator+(const duration<_Rep1, _Period1>& __lhs,
739  			const time_point<_Clock, _Dur2>& __rhs)
740  	      {
741  		typedef duration<_Rep1, _Period1>			__dur1;
742  		typedef typename common_type<__dur1,_Dur2>::type	__ct;
743  		typedef time_point<_Clock, __ct> 			__time_point;
744  		return __time_point(__rhs.time_since_epoch() + __lhs);
745  	      }
746  	
747  	    template<typename _Clock, typename _Dur1,
748  		     typename _Rep2, typename _Period2>
749  	      constexpr time_point<_Clock,
750  		typename common_type<_Dur1, duration<_Rep2, _Period2>>::type>
751  	      operator-(const time_point<_Clock, _Dur1>& __lhs,
752  			const duration<_Rep2, _Period2>& __rhs)
753  	      {
754  		typedef duration<_Rep2, _Period2>			__dur2;
755  		typedef typename common_type<_Dur1,__dur2>::type	__ct;
756  		typedef time_point<_Clock, __ct> 			__time_point;
757  		return __time_point(__lhs.time_since_epoch() -__rhs);
758  	      }
759  	
760  	    template<typename _Clock, typename _Dur1, typename _Dur2>
761  	      constexpr typename common_type<_Dur1, _Dur2>::type
762  	      operator-(const time_point<_Clock, _Dur1>& __lhs,
763  			const time_point<_Clock, _Dur2>& __rhs)
764  	      { return __lhs.time_since_epoch() - __rhs.time_since_epoch(); }
765  	
766  	    template<typename _Clock, typename _Dur1, typename _Dur2>
767  	      constexpr bool
768  	      operator==(const time_point<_Clock, _Dur1>& __lhs,
769  			 const time_point<_Clock, _Dur2>& __rhs)
770  	      { return __lhs.time_since_epoch() == __rhs.time_since_epoch(); }
771  	
772  	    template<typename _Clock, typename _Dur1, typename _Dur2>
773  	      constexpr bool
774  	      operator!=(const time_point<_Clock, _Dur1>& __lhs,
775  			 const time_point<_Clock, _Dur2>& __rhs)
776  	      { return !(__lhs == __rhs); }
777  	
778  	    template<typename _Clock, typename _Dur1, typename _Dur2>
779  	      constexpr bool
780  	      operator<(const time_point<_Clock, _Dur1>& __lhs,
781  			const time_point<_Clock, _Dur2>& __rhs)
782  	      { return  __lhs.time_since_epoch() < __rhs.time_since_epoch(); }
783  	
784  	    template<typename _Clock, typename _Dur1, typename _Dur2>
785  	      constexpr bool
786  	      operator<=(const time_point<_Clock, _Dur1>& __lhs,
787  			 const time_point<_Clock, _Dur2>& __rhs)
788  	      { return !(__rhs < __lhs); }
789  	
790  	    template<typename _Clock, typename _Dur1, typename _Dur2>
791  	      constexpr bool
792  	      operator>(const time_point<_Clock, _Dur1>& __lhs,
793  			const time_point<_Clock, _Dur2>& __rhs)
794  	      { return __rhs < __lhs; }
795  	
796  	    template<typename _Clock, typename _Dur1, typename _Dur2>
797  	      constexpr bool
798  	      operator>=(const time_point<_Clock, _Dur1>& __lhs,
799  			 const time_point<_Clock, _Dur2>& __rhs)
800  	      { return !(__lhs < __rhs); }
801  	
802  	
803  	    // Clocks.
804  	
805  	    // Why nanosecond resolution as the default?
806  	    // Why have std::system_clock always count in the highest
807  	    // resolution (ie nanoseconds), even if on some OSes the low 3
808  	    // or 9 decimal digits will be always zero? This allows later
809  	    // implementations to change the system_clock::now()
810  	    // implementation any time to provide better resolution without
811  	    // changing function signature or units.
812  	
813  	    // To support the (forward) evolution of the library's defined
814  	    // clocks, wrap inside inline namespace so that the current
815  	    // defintions of system_clock, steady_clock, and
816  	    // high_resolution_clock types are uniquely mangled. This way, new
817  	    // code can use the latests clocks, while the library can contain
818  	    // compatibility definitions for previous versions.  At some
819  	    // point, when these clocks settle down, the inlined namespaces
820  	    // can be removed.  XXX GLIBCXX_ABI Deprecated
821  	    inline namespace _V2 {
822  	
823  	    /**
824  	     *  @brief System clock.
825  	     *
826  	     *  Time returned represents wall time from the system-wide clock.
827  	    */
828  	    struct system_clock
829  	    {
830  	      typedef chrono::nanoseconds     				duration;
831  	      typedef duration::rep    					rep;
832  	      typedef duration::period 					period;
833  	      typedef chrono::time_point<system_clock, duration> 	time_point;
834  	
835  	      static_assert(system_clock::duration::min()
836  			    < system_clock::duration::zero(),
837  			    "a clock's minimum duration cannot be less than its epoch");
838  	
839  	      static constexpr bool is_steady = false;
840  	
841  	      static time_point
842  	      now() noexcept;
843  	
844  	      // Map to C API
845  	      static std::time_t
846  	      to_time_t(const time_point& __t) noexcept
847  	      {
848  		return std::time_t(duration_cast<chrono::seconds>
849  				   (__t.time_since_epoch()).count());
850  	      }
851  	
852  	      static time_point
853  	      from_time_t(std::time_t __t) noexcept
854  	      {
855  		typedef chrono::time_point<system_clock, seconds>	__from;
856  		return time_point_cast<system_clock::duration>
857  		       (__from(chrono::seconds(__t)));
858  	      }
859  	    };
860  	
861  	
862  	    /**
863  	     *  @brief Monotonic clock
864  	     *
865  	     *  Time returned has the property of only increasing at a uniform rate.
866  	    */
867  	    struct steady_clock
868  	    {
869  	      typedef chrono::nanoseconds 				duration;
870  	      typedef duration::rep	  				rep;
871  	      typedef duration::period	  				period;
872  	      typedef chrono::time_point<steady_clock, duration> 	time_point;
873  	
874  	      static constexpr bool is_steady = true;
875  	
876  	      static time_point
877  	      now() noexcept;
878  	    };
879  	
880  	
881  	    /**
882  	     *  @brief Highest-resolution clock
883  	     *
884  	     *  This is the clock "with the shortest tick period." Alias to
885  	     *  std::system_clock until higher-than-nanosecond definitions
886  	     *  become feasible.
887  	    */
888  	    using high_resolution_clock = system_clock;
889  	
890  	    } // end inline namespace _V2
891  	  } // namespace chrono
892  	
893  	#if __cplusplus > 201103L
894  	
895  	#define __cpp_lib_chrono_udls 201304
896  	
897  	  inline namespace literals
898  	  {
899  	  inline namespace chrono_literals
900  	  {
901  	#pragma GCC diagnostic push
902  	#pragma GCC diagnostic ignored "-Wliteral-suffix"
903  	    template<typename _Dur, char... _Digits>
904  	      constexpr _Dur __check_overflow()
905  	      {
906  		using _Val = __parse_int::_Parse_int<_Digits...>;
907  		constexpr typename _Dur::rep __repval = _Val::value;
908  		static_assert(__repval >= 0 && __repval == _Val::value,
909  			      "literal value cannot be represented by duration type");
910  		return _Dur(__repval);
911  	      }
912  	
913  	    constexpr chrono::duration<long double, ratio<3600,1>>
914  	    operator""h(long double __hours)
915  	    { return chrono::duration<long double, ratio<3600,1>>{__hours}; }
916  	
917  	    template <char... _Digits>
918  	      constexpr chrono::hours
919  	      operator""h()
920  	      { return __check_overflow<chrono::hours, _Digits...>(); }
921  	
922  	    constexpr chrono::duration<long double, ratio<60,1>>
923  	    operator""min(long double __mins)
924  	    { return chrono::duration<long double, ratio<60,1>>{__mins}; }
925  	
926  	    template <char... _Digits>
927  	      constexpr chrono::minutes
928  	      operator""min()
929  	      { return __check_overflow<chrono::minutes, _Digits...>(); }
930  	
931  	    constexpr chrono::duration<long double>
932  	    operator""s(long double __secs)
933  	    { return chrono::duration<long double>{__secs}; }
934  	
935  	    template <char... _Digits>
936  	      constexpr chrono::seconds
937  	      operator""s()
938  	      { return __check_overflow<chrono::seconds, _Digits...>(); }
939  	
940  	    constexpr chrono::duration<long double, milli>
941  	    operator""ms(long double __msecs)
942  	    { return chrono::duration<long double, milli>{__msecs}; }
943  	
944  	    template <char... _Digits>
945  	      constexpr chrono::milliseconds
946  	      operator""ms()
947  	      { return __check_overflow<chrono::milliseconds, _Digits...>(); }
948  	
949  	    constexpr chrono::duration<long double, micro>
950  	    operator""us(long double __usecs)
951  	    { return chrono::duration<long double, micro>{__usecs}; }
952  	
953  	    template <char... _Digits>
954  	      constexpr chrono::microseconds
955  	      operator""us()
956  	      { return __check_overflow<chrono::microseconds, _Digits...>(); }
957  	
958  	    constexpr chrono::duration<long double, nano>
959  	    operator""ns(long double __nsecs)
960  	    { return chrono::duration<long double, nano>{__nsecs}; }
961  	
962  	    template <char... _Digits>
963  	      constexpr chrono::nanoseconds
964  	      operator""ns()
965  	      { return __check_overflow<chrono::nanoseconds, _Digits...>(); }
966  	
967  	#pragma GCC diagnostic pop
968  	  } // inline namespace chrono_literals
969  	  } // inline namespace literals
970  	
971  	  namespace chrono
972  	  {
973  	    using namespace literals::chrono_literals;
974  	  } // namespace chrono
975  	
976  	#endif // C++14
977  	
978  	  // @} group chrono
979  	
980  	_GLIBCXX_END_NAMESPACE_VERSION
981  	} // namespace std
982  	
983  	#endif // C++11
984  	
985  	#endif //_GLIBCXX_CHRONO
986