1// C++11 <type_traits> -*- C++ -*-
2
3// Copyright (C) 2007-2019 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/type_traits
26 *  This is a Standard C++ Library header.
27 */
28
29#ifndef _GLIBCXX_TYPE_TRAITS
30#define _GLIBCXX_TYPE_TRAITS 1
31
32#pragma GCC system_header
33
34#if __cplusplus < 201103L
35# include <bits/c++0x_warning.h>
36#else
37
38#include <bits/c++config.h>
39
40namespace std _GLIBCXX_VISIBILITY(default)
41{
42_GLIBCXX_BEGIN_NAMESPACE_VERSION
43
44  /**
45   * @defgroup metaprogramming Metaprogramming
46   * @ingroup utilities
47   *
48   * Template utilities for compile-time introspection and modification,
49   * including type classification traits, type property inspection traits
50   * and type transformation traits.
51   *
52   * @{
53   */
54
55  /// integral_constant
56  template<typename _Tp, _Tp __v>
57    struct integral_constant
58    {
59      static constexpr _Tp                  value = __v;
60      typedef _Tp                           value_type;
61      typedef integral_constant<_Tp, __v>   type;
62      constexpr operator value_type() const noexcept { return value; }
63#if __cplusplus > 201103L
64
65#define __cpp_lib_integral_constant_callable 201304
66
67      constexpr value_type operator()() const noexcept { return value; }
68#endif
69    };
70
71  template<typename _Tp, _Tp __v>
72    constexpr _Tp integral_constant<_Tp, __v>::value;
73
74  /// The type used as a compile-time boolean with true value.
75  typedef integral_constant<bool, true>     true_type;
76
77  /// The type used as a compile-time boolean with false value.
78  typedef integral_constant<bool, false>    false_type;
79
80  template<bool __v>
81    using __bool_constant = integral_constant<bool, __v>;
82
83#if __cplusplus > 201402L
84# define __cpp_lib_bool_constant 201505
85  template<bool __v>
86    using bool_constant = integral_constant<bool, __v>;
87#endif
88
89  // Meta programming helper types.
90
91  template<bool, typename, typename>
92    struct conditional;
93
94  template<typename...>
95    struct __or_;
96
97  template<>
98    struct __or_<>
99    : public false_type
100    { };
101
102  template<typename _B1>
103    struct __or_<_B1>
104    : public _B1
105    { };
106
107  template<typename _B1, typename _B2>
108    struct __or_<_B1, _B2>
109    : public conditional<_B1::value, _B1, _B2>::type
110    { };
111
112  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
113    struct __or_<_B1, _B2, _B3, _Bn...>
114    : public conditional<_B1::value, _B1, __or_<_B2, _B3, _Bn...>>::type
115    { };
116
117  template<typename...>
118    struct __and_;
119
120  template<>
121    struct __and_<>
122    : public true_type
123    { };
124
125  template<typename _B1>
126    struct __and_<_B1>
127    : public _B1
128    { };
129
130  template<typename _B1, typename _B2>
131    struct __and_<_B1, _B2>
132    : public conditional<_B1::value, _B2, _B1>::type
133    { };
134
135  template<typename _B1, typename _B2, typename _B3, typename... _Bn>
136    struct __and_<_B1, _B2, _B3, _Bn...>
137    : public conditional<_B1::value, __and_<_B2, _B3, _Bn...>, _B1>::type
138    { };
139
140  template<typename _Pp>
141    struct __not_
142    : public __bool_constant<!bool(_Pp::value)>
143    { };
144
145#if __cplusplus >= 201703L
146
147  template<typename... _Bn>
148    inline constexpr bool __or_v = __or_<_Bn...>::value;
149  template<typename... _Bn>
150    inline constexpr bool __and_v = __and_<_Bn...>::value;
151
152#define __cpp_lib_logical_traits 201510
153
154  template<typename... _Bn>
155    struct conjunction
156    : __and_<_Bn...>
157    { };
158
159  template<typename... _Bn>
160    struct disjunction
161    : __or_<_Bn...>
162    { };
163
164  template<typename _Pp>
165    struct negation
166    : __not_<_Pp>
167    { };
168
169  template<typename... _Bn>
170    inline constexpr bool conjunction_v = conjunction<_Bn...>::value;
171
172  template<typename... _Bn>
173    inline constexpr bool disjunction_v = disjunction<_Bn...>::value;
174
175  template<typename _Pp>
176    inline constexpr bool negation_v = negation<_Pp>::value;
177
178#endif // C++17
179
180  // For several sfinae-friendly trait implementations we transport both the
181  // result information (as the member type) and the failure information (no
182  // member type). This is very similar to std::enable_if, but we cannot use
183  // them, because we need to derive from them as an implementation detail.
184
185  template<typename _Tp>
186    struct __success_type
187    { typedef _Tp type; };
188
189  struct __failure_type
190  { };
191
192  // Primary type categories.
193
194  template<typename>
195    struct remove_cv;
196
197  template<typename>
198    struct __is_void_helper
199    : public false_type { };
200
201  template<>
202    struct __is_void_helper<void>
203    : public true_type { };
204
205  /// is_void
206  template<typename _Tp>
207    struct is_void
208    : public __is_void_helper<typename remove_cv<_Tp>::type>::type
209    { };
210
211  template<typename>
212    struct __is_integral_helper
213    : public false_type { };
214
215  template<>
216    struct __is_integral_helper<bool>
217    : public true_type { };
218
219  template<>
220    struct __is_integral_helper<char>
221    : public true_type { };
222
223  template<>
224    struct __is_integral_helper<signed char>
225    : public true_type { };
226
227  template<>
228    struct __is_integral_helper<unsigned char>
229    : public true_type { };
230
231#ifdef _GLIBCXX_USE_WCHAR_T
232  template<>
233    struct __is_integral_helper<wchar_t>
234    : public true_type { };
235#endif
236
237#ifdef _GLIBCXX_USE_CHAR8_T
238  template<>
239    struct __is_integral_helper<char8_t>
240    : public true_type { };
241#endif
242
243  template<>
244    struct __is_integral_helper<char16_t>
245    : public true_type { };
246
247  template<>
248    struct __is_integral_helper<char32_t>
249    : public true_type { };
250
251  template<>
252    struct __is_integral_helper<short>
253    : public true_type { };
254
255  template<>
256    struct __is_integral_helper<unsigned short>
257    : public true_type { };
258
259  template<>
260    struct __is_integral_helper<int>
261    : public true_type { };
262
263  template<>
264    struct __is_integral_helper<unsigned int>
265    : public true_type { };
266
267  template<>
268    struct __is_integral_helper<long>
269    : public true_type { };
270
271  template<>
272    struct __is_integral_helper<unsigned long>
273    : public true_type { };
274
275  template<>
276    struct __is_integral_helper<long long>
277    : public true_type { };
278
279  template<>
280    struct __is_integral_helper<unsigned long long>
281    : public true_type { };
282
283  // Conditionalizing on __STRICT_ANSI__ here will break any port that
284  // uses one of these types for size_t.
285#if defined(__GLIBCXX_TYPE_INT_N_0)
286  template<>
287    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_0>
288    : public true_type { };
289
290  template<>
291    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_0>
292    : public true_type { };
293#endif
294#if defined(__GLIBCXX_TYPE_INT_N_1)
295  template<>
296    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_1>
297    : public true_type { };
298
299  template<>
300    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_1>
301    : public true_type { };
302#endif
303#if defined(__GLIBCXX_TYPE_INT_N_2)
304  template<>
305    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_2>
306    : public true_type { };
307
308  template<>
309    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_2>
310    : public true_type { };
311#endif
312#if defined(__GLIBCXX_TYPE_INT_N_3)
313  template<>
314    struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_3>
315    : public true_type { };
316
317  template<>
318    struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_3>
319    : public true_type { };
320#endif
321
322  /// is_integral
323  template<typename _Tp>
324    struct is_integral
325    : public __is_integral_helper<typename remove_cv<_Tp>::type>::type
326    { };
327
328  template<typename>
329    struct __is_floating_point_helper
330    : public false_type { };
331
332  template<>
333    struct __is_floating_point_helper<float>
334    : public true_type { };
335
336  template<>
337    struct __is_floating_point_helper<double>
338    : public true_type { };
339
340  template<>
341    struct __is_floating_point_helper<long double>
342    : public true_type { };
343
344#if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128)
345  template<>
346    struct __is_floating_point_helper<__float128>
347    : public true_type { };
348#endif
349
350  /// is_floating_point
351  template<typename _Tp>
352    struct is_floating_point
353    : public __is_floating_point_helper<typename remove_cv<_Tp>::type>::type
354    { };
355
356  /// is_array
357  template<typename>
358    struct is_array
359    : public false_type { };
360
361  template<typename _Tp, std::size_t _Size>
362    struct is_array<_Tp[_Size]>
363    : public true_type { };
364
365  template<typename _Tp>
366    struct is_array<_Tp[]>
367    : public true_type { };
368
369  template<typename>
370    struct __is_pointer_helper
371    : public false_type { };
372
373  template<typename _Tp>
374    struct __is_pointer_helper<_Tp*>
375    : public true_type { };
376
377  /// is_pointer
378  template<typename _Tp>
379    struct is_pointer
380    : public __is_pointer_helper<typename remove_cv<_Tp>::type>::type
381    { };
382
383  /// is_lvalue_reference
384  template<typename>
385    struct is_lvalue_reference
386    : public false_type { };
387
388  template<typename _Tp>
389    struct is_lvalue_reference<_Tp&>
390    : public true_type { };
391
392  /// is_rvalue_reference
393  template<typename>
394    struct is_rvalue_reference
395    : public false_type { };
396
397  template<typename _Tp>
398    struct is_rvalue_reference<_Tp&&>
399    : public true_type { };
400
401  template<typename>
402    struct is_function;
403
404  template<typename>
405    struct __is_member_object_pointer_helper
406    : public false_type { };
407
408  template<typename _Tp, typename _Cp>
409    struct __is_member_object_pointer_helper<_Tp _Cp::*>
410    : public __not_<is_function<_Tp>>::type { };
411
412  /// is_member_object_pointer
413  template<typename _Tp>
414    struct is_member_object_pointer
415    : public __is_member_object_pointer_helper<
416				typename remove_cv<_Tp>::type>::type
417    { };
418
419  template<typename>
420    struct __is_member_function_pointer_helper
421    : public false_type { };
422
423  template<typename _Tp, typename _Cp>
424    struct __is_member_function_pointer_helper<_Tp _Cp::*>
425    : public is_function<_Tp>::type { };
426
427  /// is_member_function_pointer
428  template<typename _Tp>
429    struct is_member_function_pointer
430    : public __is_member_function_pointer_helper<
431				typename remove_cv<_Tp>::type>::type
432    { };
433
434  /// is_enum
435  template<typename _Tp>
436    struct is_enum
437    : public integral_constant<bool, __is_enum(_Tp)>
438    { };
439
440  /// is_union
441  template<typename _Tp>
442    struct is_union
443    : public integral_constant<bool, __is_union(_Tp)>
444    { };
445
446  /// is_class
447  template<typename _Tp>
448    struct is_class
449    : public integral_constant<bool, __is_class(_Tp)>
450    { };
451
452  /// is_function
453  template<typename>
454    struct is_function
455    : public false_type { };
456
457  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
458    struct is_function<_Res(_ArgTypes...) _GLIBCXX_NOEXCEPT_QUAL>
459    : public true_type { };
460
461  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
462    struct is_function<_Res(_ArgTypes...) & _GLIBCXX_NOEXCEPT_QUAL>
463    : public true_type { };
464
465  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
466    struct is_function<_Res(_ArgTypes...) && _GLIBCXX_NOEXCEPT_QUAL>
467    : public true_type { };
468
469  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
470    struct is_function<_Res(_ArgTypes......) _GLIBCXX_NOEXCEPT_QUAL>
471    : public true_type { };
472
473  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
474    struct is_function<_Res(_ArgTypes......) & _GLIBCXX_NOEXCEPT_QUAL>
475    : public true_type { };
476
477  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
478    struct is_function<_Res(_ArgTypes......) && _GLIBCXX_NOEXCEPT_QUAL>
479    : public true_type { };
480
481  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
482    struct is_function<_Res(_ArgTypes...) const _GLIBCXX_NOEXCEPT_QUAL>
483    : public true_type { };
484
485  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
486    struct is_function<_Res(_ArgTypes...) const & _GLIBCXX_NOEXCEPT_QUAL>
487    : public true_type { };
488
489  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
490    struct is_function<_Res(_ArgTypes...) const && _GLIBCXX_NOEXCEPT_QUAL>
491    : public true_type { };
492
493  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
494    struct is_function<_Res(_ArgTypes......) const _GLIBCXX_NOEXCEPT_QUAL>
495    : public true_type { };
496
497  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
498    struct is_function<_Res(_ArgTypes......) const & _GLIBCXX_NOEXCEPT_QUAL>
499    : public true_type { };
500
501  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
502    struct is_function<_Res(_ArgTypes......) const && _GLIBCXX_NOEXCEPT_QUAL>
503    : public true_type { };
504
505  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
506    struct is_function<_Res(_ArgTypes...) volatile _GLIBCXX_NOEXCEPT_QUAL>
507    : public true_type { };
508
509  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
510    struct is_function<_Res(_ArgTypes...) volatile & _GLIBCXX_NOEXCEPT_QUAL>
511    : public true_type { };
512
513  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
514    struct is_function<_Res(_ArgTypes...) volatile && _GLIBCXX_NOEXCEPT_QUAL>
515    : public true_type { };
516
517  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
518    struct is_function<_Res(_ArgTypes......) volatile _GLIBCXX_NOEXCEPT_QUAL>
519    : public true_type { };
520
521  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
522    struct is_function<_Res(_ArgTypes......) volatile & _GLIBCXX_NOEXCEPT_QUAL>
523    : public true_type { };
524
525  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
526    struct is_function<_Res(_ArgTypes......) volatile && _GLIBCXX_NOEXCEPT_QUAL>
527    : public true_type { };
528
529  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
530    struct is_function<_Res(_ArgTypes...) const volatile _GLIBCXX_NOEXCEPT_QUAL>
531    : public true_type { };
532
533  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
534    struct is_function<_Res(_ArgTypes...) const volatile & _GLIBCXX_NOEXCEPT_QUAL>
535    : public true_type { };
536
537  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
538    struct is_function<_Res(_ArgTypes...) const volatile && _GLIBCXX_NOEXCEPT_QUAL>
539    : public true_type { };
540
541  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
542    struct is_function<_Res(_ArgTypes......) const volatile _GLIBCXX_NOEXCEPT_QUAL>
543    : public true_type { };
544
545  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
546    struct is_function<_Res(_ArgTypes......) const volatile & _GLIBCXX_NOEXCEPT_QUAL>
547    : public true_type { };
548
549  template<typename _Res, typename... _ArgTypes _GLIBCXX_NOEXCEPT_PARM>
550    struct is_function<_Res(_ArgTypes......) const volatile && _GLIBCXX_NOEXCEPT_QUAL>
551    : public true_type { };
552
553#define __cpp_lib_is_null_pointer 201309
554
555  template<typename>
556    struct __is_null_pointer_helper
557    : public false_type { };
558
559  template<>
560    struct __is_null_pointer_helper<std::nullptr_t>
561    : public true_type { };
562
563  /// is_null_pointer (LWG 2247).
564  template<typename _Tp>
565    struct is_null_pointer
566    : public __is_null_pointer_helper<typename remove_cv<_Tp>::type>::type
567    { };
568
569  /// __is_nullptr_t (extension).
570  template<typename _Tp>
571    struct __is_nullptr_t
572    : public is_null_pointer<_Tp>
573    { };
574
575  // Composite type categories.
576
577  /// is_reference
578  template<typename _Tp>
579    struct is_reference
580    : public __or_<is_lvalue_reference<_Tp>,
581                   is_rvalue_reference<_Tp>>::type
582    { };
583
584  /// is_arithmetic
585  template<typename _Tp>
586    struct is_arithmetic
587    : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
588    { };
589
590  /// is_fundamental
591  template<typename _Tp>
592    struct is_fundamental
593    : public __or_<is_arithmetic<_Tp>, is_void<_Tp>,
594		   is_null_pointer<_Tp>>::type
595    { };
596
597  /// is_object
598  template<typename _Tp>
599    struct is_object
600    : public __not_<__or_<is_function<_Tp>, is_reference<_Tp>,
601                          is_void<_Tp>>>::type
602    { };
603
604  template<typename>
605    struct is_member_pointer;
606
607  /// is_scalar
608  template<typename _Tp>
609    struct is_scalar
610    : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
611                   is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type
612    { };
613
614  /// is_compound
615  template<typename _Tp>
616    struct is_compound
617    : public __not_<is_fundamental<_Tp>>::type { };
618
619  template<typename _Tp>
620    struct __is_member_pointer_helper
621    : public false_type { };
622
623  template<typename _Tp, typename _Cp>
624    struct __is_member_pointer_helper<_Tp _Cp::*>
625    : public true_type { };
626
627  /// is_member_pointer
628  template<typename _Tp>
629    struct is_member_pointer
630    : public __is_member_pointer_helper<typename remove_cv<_Tp>::type>::type
631    { };
632
633  // Utility to detect referenceable types ([defns.referenceable]).
634
635  template<typename _Tp>
636    struct __is_referenceable
637    : public __or_<is_object<_Tp>, is_reference<_Tp>>::type
638    { };
639
640  template<typename _Res, typename... _Args _GLIBCXX_NOEXCEPT_PARM>
641    struct __is_referenceable<_Res(_Args...) _GLIBCXX_NOEXCEPT_QUAL>
642    : public true_type
643    { };
644
645  template<typename _Res, typename... _Args _GLIBCXX_NOEXCEPT_PARM>
646    struct __is_referenceable<_Res(_Args......) _GLIBCXX_NOEXCEPT_QUAL>
647    : public true_type
648    { };
649
650  // Type properties.
651
652  /// is_const
653  template<typename>
654    struct is_const
655    : public false_type { };
656
657  template<typename _Tp>
658    struct is_const<_Tp const>
659    : public true_type { };
660
661  /// is_volatile
662  template<typename>
663    struct is_volatile
664    : public false_type { };
665
666  template<typename _Tp>
667    struct is_volatile<_Tp volatile>
668    : public true_type { };
669
670  /// is_trivial
671  template<typename _Tp>
672    struct is_trivial
673    : public integral_constant<bool, __is_trivial(_Tp)>
674    { };
675
676  // is_trivially_copyable
677  template<typename _Tp>
678    struct is_trivially_copyable
679    : public integral_constant<bool, __is_trivially_copyable(_Tp)>
680    { };
681
682  /// is_standard_layout
683  template<typename _Tp>
684    struct is_standard_layout
685    : public integral_constant<bool, __is_standard_layout(_Tp)>
686    { };
687
688  /// is_pod
689  // Could use is_standard_layout && is_trivial instead of the builtin.
690  template<typename _Tp>
691    struct is_pod
692    : public integral_constant<bool, __is_pod(_Tp)>
693    { };
694
695  /// is_literal_type
696  template<typename _Tp>
697    struct is_literal_type
698    : public integral_constant<bool, __is_literal_type(_Tp)>
699    { };
700
701  /// is_empty
702  template<typename _Tp>
703    struct is_empty
704    : public integral_constant<bool, __is_empty(_Tp)>
705    { };
706
707  /// is_polymorphic
708  template<typename _Tp>
709    struct is_polymorphic
710    : public integral_constant<bool, __is_polymorphic(_Tp)>
711    { };
712
713#if __cplusplus >= 201402L
714#define __cpp_lib_is_final 201402L
715  /// is_final
716  template<typename _Tp>
717    struct is_final
718    : public integral_constant<bool, __is_final(_Tp)>
719    { };
720#endif
721
722  /// is_abstract
723  template<typename _Tp>
724    struct is_abstract
725    : public integral_constant<bool, __is_abstract(_Tp)>
726    { };
727
728  template<typename _Tp,
729	   bool = is_arithmetic<_Tp>::value>
730    struct __is_signed_helper
731    : public false_type { };
732
733  template<typename _Tp>
734    struct __is_signed_helper<_Tp, true>
735    : public integral_constant<bool, _Tp(-1) < _Tp(0)>
736    { };
737
738  /// is_signed
739  template<typename _Tp>
740    struct is_signed
741    : public __is_signed_helper<_Tp>::type
742    { };
743
744  /// is_unsigned
745  template<typename _Tp>
746    struct is_unsigned
747    : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>
748    { };
749
750
751  // Destructible and constructible type properties.
752
753  /**
754   *  @brief  Utility to simplify expressions used in unevaluated operands
755   *  @ingroup utilities
756   */
757
758  template<typename _Tp, typename _Up = _Tp&&>
759    _Up
760    __declval(int);
761
762  template<typename _Tp>
763    _Tp
764    __declval(long);
765
766  template<typename _Tp>
767    auto declval() noexcept -> decltype(__declval<_Tp>(0));
768
769  template<typename, unsigned = 0>
770    struct extent;
771
772  template<typename>
773    struct remove_all_extents;
774
775  template<typename _Tp>
776    struct __is_array_known_bounds
777    : public integral_constant<bool, (extent<_Tp>::value > 0)>
778    { };
779
780  template<typename _Tp>
781    struct __is_array_unknown_bounds
782    : public __and_<is_array<_Tp>, __not_<extent<_Tp>>>
783    { };
784
785  // In N3290 is_destructible does not say anything about function
786  // types and abstract types, see LWG 2049. This implementation
787  // describes function types as non-destructible and all complete
788  // object types as destructible, iff the explicit destructor
789  // call expression is wellformed.
790  struct __do_is_destructible_impl
791  {
792    template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
793      static true_type __test(int);
794
795    template<typename>
796      static false_type __test(...);
797  };
798
799  template<typename _Tp>
800    struct __is_destructible_impl
801    : public __do_is_destructible_impl
802    {
803      typedef decltype(__test<_Tp>(0)) type;
804    };
805
806  template<typename _Tp,
807           bool = __or_<is_void<_Tp>,
808                        __is_array_unknown_bounds<_Tp>,
809                        is_function<_Tp>>::value,
810           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
811    struct __is_destructible_safe;
812
813  template<typename _Tp>
814    struct __is_destructible_safe<_Tp, false, false>
815    : public __is_destructible_impl<typename
816               remove_all_extents<_Tp>::type>::type
817    { };
818
819  template<typename _Tp>
820    struct __is_destructible_safe<_Tp, true, false>
821    : public false_type { };
822
823  template<typename _Tp>
824    struct __is_destructible_safe<_Tp, false, true>
825    : public true_type { };
826
827  /// is_destructible
828  template<typename _Tp>
829    struct is_destructible
830    : public __is_destructible_safe<_Tp>::type
831    { };
832
833  // is_nothrow_destructible requires that is_destructible is
834  // satisfied as well.  We realize that by mimicing the
835  // implementation of is_destructible but refer to noexcept(expr)
836  // instead of decltype(expr).
837  struct __do_is_nt_destructible_impl
838  {
839    template<typename _Tp>
840      static __bool_constant<noexcept(declval<_Tp&>().~_Tp())>
841      __test(int);
842
843    template<typename>
844      static false_type __test(...);
845  };
846
847  template<typename _Tp>
848    struct __is_nt_destructible_impl
849    : public __do_is_nt_destructible_impl
850    {
851      typedef decltype(__test<_Tp>(0)) type;
852    };
853
854  template<typename _Tp,
855           bool = __or_<is_void<_Tp>,
856                        __is_array_unknown_bounds<_Tp>,
857                        is_function<_Tp>>::value,
858           bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
859    struct __is_nt_destructible_safe;
860
861  template<typename _Tp>
862    struct __is_nt_destructible_safe<_Tp, false, false>
863    : public __is_nt_destructible_impl<typename
864               remove_all_extents<_Tp>::type>::type
865    { };
866
867  template<typename _Tp>
868    struct __is_nt_destructible_safe<_Tp, true, false>
869    : public false_type { };
870
871  template<typename _Tp>
872    struct __is_nt_destructible_safe<_Tp, false, true>
873    : public true_type { };
874
875  /// is_nothrow_destructible
876  template<typename _Tp>
877    struct is_nothrow_destructible
878    : public __is_nt_destructible_safe<_Tp>::type
879    { };
880
881  /// is_constructible
882  template<typename _Tp, typename... _Args>
883    struct is_constructible
884      : public __bool_constant<__is_constructible(_Tp, _Args...)>
885    { };
886
887  /// is_default_constructible
888  template<typename _Tp>
889    struct is_default_constructible
890    : public is_constructible<_Tp>::type
891    { };
892
893  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
894    struct __is_copy_constructible_impl;
895
896  template<typename _Tp>
897    struct __is_copy_constructible_impl<_Tp, false>
898    : public false_type { };
899
900  template<typename _Tp>
901    struct __is_copy_constructible_impl<_Tp, true>
902    : public is_constructible<_Tp, const _Tp&>
903    { };
904
905  /// is_copy_constructible
906  template<typename _Tp>
907    struct is_copy_constructible
908    : public __is_copy_constructible_impl<_Tp>
909    { };
910
911  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
912    struct __is_move_constructible_impl;
913
914  template<typename _Tp>
915    struct __is_move_constructible_impl<_Tp, false>
916    : public false_type { };
917
918  template<typename _Tp>
919    struct __is_move_constructible_impl<_Tp, true>
920    : public is_constructible<_Tp, _Tp&&>
921    { };
922
923  /// is_move_constructible
924  template<typename _Tp>
925    struct is_move_constructible
926    : public __is_move_constructible_impl<_Tp>
927    { };
928
929  template<bool, typename _Tp, typename... _Args>
930    struct __is_nt_constructible_impl
931    : public false_type
932    { };
933
934  template<typename _Tp, typename... _Args>
935    struct __is_nt_constructible_impl<true, _Tp, _Args...>
936    : public __bool_constant<noexcept(_Tp(std::declval<_Args>()...))>
937    { };
938
939  template<typename _Tp, typename _Arg>
940    struct __is_nt_constructible_impl<true, _Tp, _Arg>
941    : public __bool_constant<noexcept(static_cast<_Tp>(std::declval<_Arg>()))>
942    { };
943
944  template<typename _Tp>
945    struct __is_nt_constructible_impl<true, _Tp>
946    : public __bool_constant<noexcept(_Tp())>
947    { };
948
949  template<typename _Tp, size_t _Num>
950    struct __is_nt_constructible_impl<true, _Tp[_Num]>
951    : public __bool_constant<noexcept(typename remove_all_extents<_Tp>::type())>
952    { };
953
954  template<typename _Tp, typename... _Args>
955    using __is_nothrow_constructible_impl
956      = __is_nt_constructible_impl<__is_constructible(_Tp, _Args...),
957				   _Tp, _Args...>;
958
959  /// is_nothrow_constructible
960  template<typename _Tp, typename... _Args>
961    struct is_nothrow_constructible
962    : public __is_nothrow_constructible_impl<_Tp, _Args...>::type
963    { };
964
965  /// is_nothrow_default_constructible
966  template<typename _Tp>
967    struct is_nothrow_default_constructible
968    : public __is_nothrow_constructible_impl<_Tp>::type
969    { };
970
971
972  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
973    struct __is_nothrow_copy_constructible_impl;
974
975  template<typename _Tp>
976    struct __is_nothrow_copy_constructible_impl<_Tp, false>
977    : public false_type { };
978
979  template<typename _Tp>
980    struct __is_nothrow_copy_constructible_impl<_Tp, true>
981    : public is_nothrow_constructible<_Tp, const _Tp&>
982    { };
983
984  /// is_nothrow_copy_constructible
985  template<typename _Tp>
986    struct is_nothrow_copy_constructible
987    : public __is_nothrow_copy_constructible_impl<_Tp>
988    { };
989
990  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
991    struct __is_nothrow_move_constructible_impl;
992
993  template<typename _Tp>
994    struct __is_nothrow_move_constructible_impl<_Tp, false>
995    : public false_type { };
996
997  template<typename _Tp>
998    struct __is_nothrow_move_constructible_impl<_Tp, true>
999    : public is_nothrow_constructible<_Tp, _Tp&&>
1000    { };
1001
1002  /// is_nothrow_move_constructible
1003  template<typename _Tp>
1004    struct is_nothrow_move_constructible
1005    : public __is_nothrow_move_constructible_impl<_Tp>
1006    { };
1007
1008  /// is_assignable
1009  template<typename _Tp, typename _Up>
1010    struct is_assignable
1011      : public __bool_constant<__is_assignable(_Tp, _Up)>
1012    { };
1013
1014  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1015    struct __is_copy_assignable_impl;
1016
1017  template<typename _Tp>
1018    struct __is_copy_assignable_impl<_Tp, false>
1019    : public false_type { };
1020
1021  template<typename _Tp>
1022    struct __is_copy_assignable_impl<_Tp, true>
1023    : public is_assignable<_Tp&, const _Tp&>
1024    { };
1025
1026  /// is_copy_assignable
1027  template<typename _Tp>
1028    struct is_copy_assignable
1029    : public __is_copy_assignable_impl<_Tp>
1030    { };
1031
1032  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1033    struct __is_move_assignable_impl;
1034
1035  template<typename _Tp>
1036    struct __is_move_assignable_impl<_Tp, false>
1037    : public false_type { };
1038
1039  template<typename _Tp>
1040    struct __is_move_assignable_impl<_Tp, true>
1041    : public is_assignable<_Tp&, _Tp&&>
1042    { };
1043
1044  /// is_move_assignable
1045  template<typename _Tp>
1046    struct is_move_assignable
1047    : public __is_move_assignable_impl<_Tp>
1048    { };
1049
1050  template<typename _Tp, typename _Up>
1051    struct __is_nt_assignable_impl
1052    : public integral_constant<bool, noexcept(declval<_Tp>() = declval<_Up>())>
1053    { };
1054
1055  /// is_nothrow_assignable
1056  template<typename _Tp, typename _Up>
1057    struct is_nothrow_assignable
1058    : public __and_<is_assignable<_Tp, _Up>,
1059		    __is_nt_assignable_impl<_Tp, _Up>>
1060    { };
1061
1062  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1063    struct __is_nt_copy_assignable_impl;
1064
1065  template<typename _Tp>
1066    struct __is_nt_copy_assignable_impl<_Tp, false>
1067    : public false_type { };
1068
1069  template<typename _Tp>
1070    struct __is_nt_copy_assignable_impl<_Tp, true>
1071    : public is_nothrow_assignable<_Tp&, const _Tp&>
1072    { };
1073
1074  /// is_nothrow_copy_assignable
1075  template<typename _Tp>
1076    struct is_nothrow_copy_assignable
1077    : public __is_nt_copy_assignable_impl<_Tp>
1078    { };
1079
1080  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1081    struct __is_nt_move_assignable_impl;
1082
1083  template<typename _Tp>
1084    struct __is_nt_move_assignable_impl<_Tp, false>
1085    : public false_type { };
1086
1087  template<typename _Tp>
1088    struct __is_nt_move_assignable_impl<_Tp, true>
1089    : public is_nothrow_assignable<_Tp&, _Tp&&>
1090    { };
1091
1092  /// is_nothrow_move_assignable
1093  template<typename _Tp>
1094    struct is_nothrow_move_assignable
1095    : public __is_nt_move_assignable_impl<_Tp>
1096    { };
1097
1098  /// is_trivially_constructible
1099  template<typename _Tp, typename... _Args>
1100    struct is_trivially_constructible
1101    : public __bool_constant<__is_trivially_constructible(_Tp, _Args...)>
1102    { };
1103
1104  /// is_trivially_default_constructible
1105  template<typename _Tp>
1106    struct is_trivially_default_constructible
1107    : public is_trivially_constructible<_Tp>::type
1108    { };
1109
1110  struct __do_is_implicitly_default_constructible_impl
1111  {
1112    template <typename _Tp>
1113    static void __helper(const _Tp&);
1114
1115    template <typename _Tp>
1116    static true_type __test(const _Tp&,
1117                            decltype(__helper<const _Tp&>({}))* = 0);
1118
1119    static false_type __test(...);
1120  };
1121
1122  template<typename _Tp>
1123    struct __is_implicitly_default_constructible_impl
1124    : public __do_is_implicitly_default_constructible_impl
1125    {
1126      typedef decltype(__test(declval<_Tp>())) type;
1127    };
1128
1129  template<typename _Tp>
1130    struct __is_implicitly_default_constructible_safe
1131    : public __is_implicitly_default_constructible_impl<_Tp>::type
1132    { };
1133
1134  template <typename _Tp>
1135    struct __is_implicitly_default_constructible
1136    : public __and_<is_default_constructible<_Tp>,
1137		    __is_implicitly_default_constructible_safe<_Tp>>
1138    { };
1139
1140  /// is_trivially_copy_constructible
1141
1142  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1143    struct __is_trivially_copy_constructible_impl;
1144
1145  template<typename _Tp>
1146    struct __is_trivially_copy_constructible_impl<_Tp, false>
1147    : public false_type { };
1148
1149  template<typename _Tp>
1150    struct __is_trivially_copy_constructible_impl<_Tp, true>
1151    : public __and_<is_copy_constructible<_Tp>,
1152		    integral_constant<bool,
1153			__is_trivially_constructible(_Tp, const _Tp&)>>
1154    { };
1155
1156  template<typename _Tp>
1157    struct is_trivially_copy_constructible
1158    : public __is_trivially_copy_constructible_impl<_Tp>
1159    { };
1160
1161  /// is_trivially_move_constructible
1162
1163  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1164    struct __is_trivially_move_constructible_impl;
1165
1166  template<typename _Tp>
1167    struct __is_trivially_move_constructible_impl<_Tp, false>
1168    : public false_type { };
1169
1170  template<typename _Tp>
1171    struct __is_trivially_move_constructible_impl<_Tp, true>
1172    : public __and_<is_move_constructible<_Tp>,
1173		    integral_constant<bool,
1174			__is_trivially_constructible(_Tp, _Tp&&)>>
1175    { };
1176
1177  template<typename _Tp>
1178    struct is_trivially_move_constructible
1179    : public __is_trivially_move_constructible_impl<_Tp>
1180    { };
1181
1182  /// is_trivially_assignable
1183  template<typename _Tp, typename _Up>
1184    struct is_trivially_assignable
1185    : public __bool_constant<__is_trivially_assignable(_Tp, _Up)>
1186    { };
1187
1188  /// is_trivially_copy_assignable
1189
1190  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1191    struct __is_trivially_copy_assignable_impl;
1192
1193  template<typename _Tp>
1194    struct __is_trivially_copy_assignable_impl<_Tp, false>
1195    : public false_type { };
1196
1197  template<typename _Tp>
1198    struct __is_trivially_copy_assignable_impl<_Tp, true>
1199    : public __bool_constant<__is_trivially_assignable(_Tp&, const _Tp&)>
1200    { };
1201
1202  template<typename _Tp>
1203    struct is_trivially_copy_assignable
1204    : public __is_trivially_copy_assignable_impl<_Tp>
1205    { };
1206
1207  /// is_trivially_move_assignable
1208
1209  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1210    struct __is_trivially_move_assignable_impl;
1211
1212  template<typename _Tp>
1213    struct __is_trivially_move_assignable_impl<_Tp, false>
1214    : public false_type { };
1215
1216  template<typename _Tp>
1217    struct __is_trivially_move_assignable_impl<_Tp, true>
1218    : public __bool_constant<__is_trivially_assignable(_Tp&, _Tp&&)>
1219    { };
1220
1221  template<typename _Tp>
1222    struct is_trivially_move_assignable
1223    : public __is_trivially_move_assignable_impl<_Tp>
1224    { };
1225
1226  /// is_trivially_destructible
1227  template<typename _Tp>
1228    struct is_trivially_destructible
1229    : public __and_<is_destructible<_Tp>,
1230		    __bool_constant<__has_trivial_destructor(_Tp)>>
1231    { };
1232
1233
1234  /// has_virtual_destructor
1235  template<typename _Tp>
1236    struct has_virtual_destructor
1237    : public integral_constant<bool, __has_virtual_destructor(_Tp)>
1238    { };
1239
1240
1241  // type property queries.
1242
1243  /// alignment_of
1244  template<typename _Tp>
1245    struct alignment_of
1246    : public integral_constant<std::size_t, alignof(_Tp)> { };
1247
1248  /// rank
1249  template<typename>
1250    struct rank
1251    : public integral_constant<std::size_t, 0> { };
1252
1253  template<typename _Tp, std::size_t _Size>
1254    struct rank<_Tp[_Size]>
1255    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
1256
1257  template<typename _Tp>
1258    struct rank<_Tp[]>
1259    : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
1260
1261  /// extent
1262  template<typename, unsigned _Uint>
1263    struct extent
1264    : public integral_constant<std::size_t, 0> { };
1265
1266  template<typename _Tp, unsigned _Uint, std::size_t _Size>
1267    struct extent<_Tp[_Size], _Uint>
1268    : public integral_constant<std::size_t,
1269			       _Uint == 0 ? _Size : extent<_Tp,
1270							   _Uint - 1>::value>
1271    { };
1272
1273  template<typename _Tp, unsigned _Uint>
1274    struct extent<_Tp[], _Uint>
1275    : public integral_constant<std::size_t,
1276			       _Uint == 0 ? 0 : extent<_Tp,
1277						       _Uint - 1>::value>
1278    { };
1279
1280
1281  // Type relations.
1282
1283  /// is_same
1284  template<typename, typename>
1285    struct is_same
1286    : public false_type { };
1287
1288  template<typename _Tp>
1289    struct is_same<_Tp, _Tp>
1290    : public true_type { };
1291
1292  /// is_base_of
1293  template<typename _Base, typename _Derived>
1294    struct is_base_of
1295    : public integral_constant<bool, __is_base_of(_Base, _Derived)>
1296    { };
1297
1298  template<typename _From, typename _To,
1299           bool = __or_<is_void<_From>, is_function<_To>,
1300                        is_array<_To>>::value>
1301    struct __is_convertible_helper
1302    {
1303      typedef typename is_void<_To>::type type;
1304    };
1305
1306  template<typename _From, typename _To>
1307    class __is_convertible_helper<_From, _To, false>
1308    {
1309      template<typename _To1>
1310	static void __test_aux(_To1) noexcept;
1311
1312      template<typename _From1, typename _To1,
1313	       typename = decltype(__test_aux<_To1>(std::declval<_From1>()))>
1314	static true_type
1315	__test(int);
1316
1317      template<typename, typename>
1318	static false_type
1319	__test(...);
1320
1321    public:
1322      typedef decltype(__test<_From, _To>(0)) type;
1323    };
1324
1325
1326  /// is_convertible
1327  template<typename _From, typename _To>
1328    struct is_convertible
1329    : public __is_convertible_helper<_From, _To>::type
1330    { };
1331
1332#if __cplusplus > 201703L
1333    template<typename _From, typename _To,
1334           bool = __or_<is_void<_From>, is_function<_To>,
1335                        is_array<_To>>::value>
1336    struct __is_nt_convertible_helper
1337    : is_void<_To>
1338    { };
1339
1340  template<typename _From, typename _To>
1341    class __is_nt_convertible_helper<_From, _To, false>
1342    {
1343      template<typename _To1>
1344	static void __test_aux(_To1) noexcept;
1345
1346      template<typename _From1, typename _To1>
1347	static bool_constant<noexcept(__test_aux<_To1>(std::declval<_From1>()))>
1348	__test(int);
1349
1350      template<typename, typename>
1351	static false_type
1352	__test(...);
1353
1354    public:
1355      using type = decltype(__test<_From, _To>(0));
1356    };
1357
1358#define __cpp_lib_is_nothrow_convertible 201806L
1359  /// is_nothrow_convertible
1360  template<typename _From, typename _To>
1361    struct is_nothrow_convertible
1362    : public __is_nt_convertible_helper<_From, _To>::type
1363    { };
1364
1365  /// is_nothrow_convertible_v
1366  template<typename _From, typename _To>
1367    inline constexpr bool is_nothrow_convertible_v
1368      = is_nothrow_convertible<_From, _To>::value;
1369#endif // C++2a
1370
1371  // Const-volatile modifications.
1372
1373  /// remove_const
1374  template<typename _Tp>
1375    struct remove_const
1376    { typedef _Tp     type; };
1377
1378  template<typename _Tp>
1379    struct remove_const<_Tp const>
1380    { typedef _Tp     type; };
1381
1382  /// remove_volatile
1383  template<typename _Tp>
1384    struct remove_volatile
1385    { typedef _Tp     type; };
1386
1387  template<typename _Tp>
1388    struct remove_volatile<_Tp volatile>
1389    { typedef _Tp     type; };
1390
1391  /// remove_cv
1392  template<typename _Tp>
1393    struct remove_cv
1394    {
1395      typedef typename
1396      remove_const<typename remove_volatile<_Tp>::type>::type     type;
1397    };
1398
1399  /// add_const
1400  template<typename _Tp>
1401    struct add_const
1402    { typedef _Tp const     type; };
1403
1404  /// add_volatile
1405  template<typename _Tp>
1406    struct add_volatile
1407    { typedef _Tp volatile     type; };
1408
1409  /// add_cv
1410  template<typename _Tp>
1411    struct add_cv
1412    {
1413      typedef typename
1414      add_const<typename add_volatile<_Tp>::type>::type     type;
1415    };
1416
1417#if __cplusplus > 201103L
1418
1419#define __cpp_lib_transformation_trait_aliases 201304
1420
1421  /// Alias template for remove_const
1422  template<typename _Tp>
1423    using remove_const_t = typename remove_const<_Tp>::type;
1424
1425  /// Alias template for remove_volatile
1426  template<typename _Tp>
1427    using remove_volatile_t = typename remove_volatile<_Tp>::type;
1428
1429  /// Alias template for remove_cv
1430  template<typename _Tp>
1431    using remove_cv_t = typename remove_cv<_Tp>::type;
1432
1433  /// Alias template for add_const
1434  template<typename _Tp>
1435    using add_const_t = typename add_const<_Tp>::type;
1436
1437  /// Alias template for add_volatile
1438  template<typename _Tp>
1439    using add_volatile_t = typename add_volatile<_Tp>::type;
1440
1441  /// Alias template for add_cv
1442  template<typename _Tp>
1443    using add_cv_t = typename add_cv<_Tp>::type;
1444#endif
1445
1446  // Reference transformations.
1447
1448  /// remove_reference
1449  template<typename _Tp>
1450    struct remove_reference
1451    { typedef _Tp   type; };
1452
1453  template<typename _Tp>
1454    struct remove_reference<_Tp&>
1455    { typedef _Tp   type; };
1456
1457  template<typename _Tp>
1458    struct remove_reference<_Tp&&>
1459    { typedef _Tp   type; };
1460
1461  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1462    struct __add_lvalue_reference_helper
1463    { typedef _Tp   type; };
1464
1465  template<typename _Tp>
1466    struct __add_lvalue_reference_helper<_Tp, true>
1467    { typedef _Tp&   type; };
1468
1469  /// add_lvalue_reference
1470  template<typename _Tp>
1471    struct add_lvalue_reference
1472    : public __add_lvalue_reference_helper<_Tp>
1473    { };
1474
1475  template<typename _Tp, bool = __is_referenceable<_Tp>::value>
1476    struct __add_rvalue_reference_helper
1477    { typedef _Tp   type; };
1478
1479  template<typename _Tp>
1480    struct __add_rvalue_reference_helper<_Tp, true>
1481    { typedef _Tp&&   type; };
1482
1483  /// add_rvalue_reference
1484  template<typename _Tp>
1485    struct add_rvalue_reference
1486    : public __add_rvalue_reference_helper<_Tp>
1487    { };
1488
1489#if __cplusplus > 201103L
1490  /// Alias template for remove_reference
1491  template<typename _Tp>
1492    using remove_reference_t = typename remove_reference<_Tp>::type;
1493
1494  /// Alias template for add_lvalue_reference
1495  template<typename _Tp>
1496    using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type;
1497
1498  /// Alias template for add_rvalue_reference
1499  template<typename _Tp>
1500    using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type;
1501#endif
1502
1503  // Sign modifications.
1504
1505  // Utility for constructing identically cv-qualified types.
1506  template<typename _Unqualified, bool _IsConst, bool _IsVol>
1507    struct __cv_selector;
1508
1509  template<typename _Unqualified>
1510    struct __cv_selector<_Unqualified, false, false>
1511    { typedef _Unqualified __type; };
1512
1513  template<typename _Unqualified>
1514    struct __cv_selector<_Unqualified, false, true>
1515    { typedef volatile _Unqualified __type; };
1516
1517  template<typename _Unqualified>
1518    struct __cv_selector<_Unqualified, true, false>
1519    { typedef const _Unqualified __type; };
1520
1521  template<typename _Unqualified>
1522    struct __cv_selector<_Unqualified, true, true>
1523    { typedef const volatile _Unqualified __type; };
1524
1525  template<typename _Qualified, typename _Unqualified,
1526	   bool _IsConst = is_const<_Qualified>::value,
1527	   bool _IsVol = is_volatile<_Qualified>::value>
1528    class __match_cv_qualifiers
1529    {
1530      typedef __cv_selector<_Unqualified, _IsConst, _IsVol> __match;
1531
1532    public:
1533      typedef typename __match::__type __type;
1534    };
1535
1536  // Utility for finding the unsigned versions of signed integral types.
1537  template<typename _Tp>
1538    struct __make_unsigned
1539    { typedef _Tp __type; };
1540
1541  template<>
1542    struct __make_unsigned<char>
1543    { typedef unsigned char __type; };
1544
1545  template<>
1546    struct __make_unsigned<signed char>
1547    { typedef unsigned char __type; };
1548
1549  template<>
1550    struct __make_unsigned<short>
1551    { typedef unsigned short __type; };
1552
1553  template<>
1554    struct __make_unsigned<int>
1555    { typedef unsigned int __type; };
1556
1557  template<>
1558    struct __make_unsigned<long>
1559    { typedef unsigned long __type; };
1560
1561  template<>
1562    struct __make_unsigned<long long>
1563    { typedef unsigned long long __type; };
1564
1565#if defined(__GLIBCXX_TYPE_INT_N_0)
1566  template<>
1567    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_0>
1568    { typedef unsigned __GLIBCXX_TYPE_INT_N_0 __type; };
1569#endif
1570#if defined(__GLIBCXX_TYPE_INT_N_1)
1571  template<>
1572    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_1>
1573    { typedef unsigned __GLIBCXX_TYPE_INT_N_1 __type; };
1574#endif
1575#if defined(__GLIBCXX_TYPE_INT_N_2)
1576  template<>
1577    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_2>
1578    { typedef unsigned __GLIBCXX_TYPE_INT_N_2 __type; };
1579#endif
1580#if defined(__GLIBCXX_TYPE_INT_N_3)
1581  template<>
1582    struct __make_unsigned<__GLIBCXX_TYPE_INT_N_3>
1583    { typedef unsigned __GLIBCXX_TYPE_INT_N_3 __type; };
1584#endif
1585
1586  // Select between integral and enum: not possible to be both.
1587  template<typename _Tp,
1588	   bool _IsInt = is_integral<_Tp>::value,
1589	   bool _IsEnum = is_enum<_Tp>::value>
1590    class __make_unsigned_selector;
1591
1592  template<typename _Tp>
1593    class __make_unsigned_selector<_Tp, true, false>
1594    {
1595      using __unsigned_type
1596	= typename __make_unsigned<typename remove_cv<_Tp>::type>::__type;
1597
1598    public:
1599      using __type
1600	= typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
1601    };
1602
1603  class __make_unsigned_selector_base
1604  {
1605  protected:
1606    template<typename...> struct _List { };
1607
1608    template<typename _Tp, typename... _Up>
1609      struct _List<_Tp, _Up...> : _List<_Up...>
1610      { static constexpr size_t __size = sizeof(_Tp); };
1611
1612    template<size_t _Sz, typename _Tp, bool = (_Sz <= _Tp::__size)>
1613      struct __select;
1614
1615    template<size_t _Sz, typename _Uint, typename... _UInts>
1616      struct __select<_Sz, _List<_Uint, _UInts...>, true>
1617      { using __type = _Uint; };
1618
1619    template<size_t _Sz, typename _Uint, typename... _UInts>
1620      struct __select<_Sz, _List<_Uint, _UInts...>, false>
1621      : __select<_Sz, _List<_UInts...>>
1622      { };
1623  };
1624
1625  // Choose unsigned integer type with the smallest rank and same size as _Tp
1626  template<typename _Tp>
1627    class __make_unsigned_selector<_Tp, false, true>
1628    : __make_unsigned_selector_base
1629    {
1630      // With -fshort-enums, an enum may be as small as a char.
1631      using _UInts = _List<unsigned char, unsigned short, unsigned int,
1632			   unsigned long, unsigned long long>;
1633
1634      using __unsigned_type = typename __select<sizeof(_Tp), _UInts>::__type;
1635
1636    public:
1637      using __type
1638	= typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
1639    };
1640
1641  // wchar_t, char8_t, char16_t and char32_t are integral types but are
1642  // neither signed integer types nor unsigned integer types, so must be
1643  // transformed to the unsigned integer type with the smallest rank.
1644  // Use the partial specialization for enumeration types to do that.
1645#if defined(_GLIBCXX_USE_WCHAR_T)
1646  template<>
1647    struct __make_unsigned<wchar_t>
1648    {
1649      using __type
1650	= typename __make_unsigned_selector<wchar_t, false, true>::__type;
1651    };
1652#endif
1653
1654#ifdef _GLIBCXX_USE_CHAR8_T
1655  template<>
1656    struct __make_unsigned<char8_t>
1657    {
1658      using __type
1659	= typename __make_unsigned_selector<char8_t, false, true>::__type;
1660    };
1661#endif
1662
1663  template<>
1664    struct __make_unsigned<char16_t>
1665    {
1666      using __type
1667	= typename __make_unsigned_selector<char16_t, false, true>::__type;
1668    };
1669
1670  template<>
1671    struct __make_unsigned<char32_t>
1672    {
1673      using __type
1674	= typename __make_unsigned_selector<char32_t, false, true>::__type;
1675    };
1676
1677  // Given an integral/enum type, return the corresponding unsigned
1678  // integer type.
1679  // Primary template.
1680  /// make_unsigned
1681  template<typename _Tp>
1682    struct make_unsigned
1683    { typedef typename __make_unsigned_selector<_Tp>::__type type; };
1684
1685  // Integral, but don't define.
1686  template<>
1687    struct make_unsigned<bool>;
1688
1689
1690  // Utility for finding the signed versions of unsigned integral types.
1691  template<typename _Tp>
1692    struct __make_signed
1693    { typedef _Tp __type; };
1694
1695  template<>
1696    struct __make_signed<char>
1697    { typedef signed char __type; };
1698
1699  template<>
1700    struct __make_signed<unsigned char>
1701    { typedef signed char __type; };
1702
1703  template<>
1704    struct __make_signed<unsigned short>
1705    { typedef signed short __type; };
1706
1707  template<>
1708    struct __make_signed<unsigned int>
1709    { typedef signed int __type; };
1710
1711  template<>
1712    struct __make_signed<unsigned long>
1713    { typedef signed long __type; };
1714
1715  template<>
1716    struct __make_signed<unsigned long long>
1717    { typedef signed long long __type; };
1718
1719#if defined(__GLIBCXX_TYPE_INT_N_0)
1720  template<>
1721    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_0>
1722    { typedef __GLIBCXX_TYPE_INT_N_0 __type; };
1723#endif
1724#if defined(__GLIBCXX_TYPE_INT_N_1)
1725  template<>
1726    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_1>
1727    { typedef __GLIBCXX_TYPE_INT_N_1 __type; };
1728#endif
1729#if defined(__GLIBCXX_TYPE_INT_N_2)
1730  template<>
1731    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_2>
1732    { typedef __GLIBCXX_TYPE_INT_N_2 __type; };
1733#endif
1734#if defined(__GLIBCXX_TYPE_INT_N_3)
1735  template<>
1736    struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_3>
1737    { typedef __GLIBCXX_TYPE_INT_N_3 __type; };
1738#endif
1739
1740  // Select between integral and enum: not possible to be both.
1741  template<typename _Tp,
1742	   bool _IsInt = is_integral<_Tp>::value,
1743	   bool _IsEnum = is_enum<_Tp>::value>
1744    class __make_signed_selector;
1745
1746  template<typename _Tp>
1747    class __make_signed_selector<_Tp, true, false>
1748    {
1749      using __signed_type
1750	= typename __make_signed<typename remove_cv<_Tp>::type>::__type;
1751
1752    public:
1753      using __type
1754	= typename __match_cv_qualifiers<_Tp, __signed_type>::__type;
1755    };
1756
1757  // Choose signed integer type with the smallest rank and same size as _Tp
1758  template<typename _Tp>
1759    class __make_signed_selector<_Tp, false, true>
1760    {
1761      typedef typename __make_unsigned_selector<_Tp>::__type __unsigned_type;
1762
1763    public:
1764      typedef typename __make_signed_selector<__unsigned_type>::__type __type;
1765    };
1766
1767  // wchar_t, char16_t and char32_t are integral types but are neither
1768  // signed integer types nor unsigned integer types, so must be
1769  // transformed to the signed integer type with the smallest rank.
1770  // Use the partial specialization for enumeration types to do that.
1771#if defined(_GLIBCXX_USE_WCHAR_T)
1772  template<>
1773    struct __make_signed<wchar_t>
1774    {
1775      using __type
1776	= typename __make_signed_selector<wchar_t, false, true>::__type;
1777    };
1778#endif
1779
1780#if defined(_GLIBCXX_USE_CHAR8_T)
1781  template<>
1782    struct __make_signed<char8_t>
1783    {
1784      using __type
1785	= typename __make_signed_selector<char8_t, false, true>::__type;
1786    };
1787#endif
1788
1789  template<>
1790    struct __make_signed<char16_t>
1791    {
1792      using __type
1793	= typename __make_signed_selector<char16_t, false, true>::__type;
1794    };
1795
1796  template<>
1797    struct __make_signed<char32_t>
1798    {
1799      using __type
1800	= typename __make_signed_selector<char32_t, false, true>::__type;
1801    };
1802
1803  // Given an integral/enum type, return the corresponding signed
1804  // integer type.
1805  // Primary template.
1806  /// make_signed
1807  template<typename _Tp>
1808    struct make_signed
1809    { typedef typename __make_signed_selector<_Tp>::__type type; };
1810
1811  // Integral, but don't define.
1812  template<>
1813    struct make_signed<bool>;
1814
1815#if __cplusplus > 201103L
1816  /// Alias template for make_signed
1817  template<typename _Tp>
1818    using make_signed_t = typename make_signed<_Tp>::type;
1819
1820  /// Alias template for make_unsigned
1821  template<typename _Tp>
1822    using make_unsigned_t = typename make_unsigned<_Tp>::type;
1823#endif
1824
1825  // Array modifications.
1826
1827  /// remove_extent
1828  template<typename _Tp>
1829    struct remove_extent
1830    { typedef _Tp     type; };
1831
1832  template<typename _Tp, std::size_t _Size>
1833    struct remove_extent<_Tp[_Size]>
1834    { typedef _Tp     type; };
1835
1836  template<typename _Tp>
1837    struct remove_extent<_Tp[]>
1838    { typedef _Tp     type; };
1839
1840  /// remove_all_extents
1841  template<typename _Tp>
1842    struct remove_all_extents
1843    { typedef _Tp     type; };
1844
1845  template<typename _Tp, std::size_t _Size>
1846    struct remove_all_extents<_Tp[_Size]>
1847    { typedef typename remove_all_extents<_Tp>::type     type; };
1848
1849  template<typename _Tp>
1850    struct remove_all_extents<_Tp[]>
1851    { typedef typename remove_all_extents<_Tp>::type     type; };
1852
1853#if __cplusplus > 201103L
1854  /// Alias template for remove_extent
1855  template<typename _Tp>
1856    using remove_extent_t = typename remove_extent<_Tp>::type;
1857
1858  /// Alias template for remove_all_extents
1859  template<typename _Tp>
1860    using remove_all_extents_t = typename remove_all_extents<_Tp>::type;
1861#endif
1862
1863  // Pointer modifications.
1864
1865  template<typename _Tp, typename>
1866    struct __remove_pointer_helper
1867    { typedef _Tp     type; };
1868
1869  template<typename _Tp, typename _Up>
1870    struct __remove_pointer_helper<_Tp, _Up*>
1871    { typedef _Up     type; };
1872
1873  /// remove_pointer
1874  template<typename _Tp>
1875    struct remove_pointer
1876    : public __remove_pointer_helper<_Tp, typename remove_cv<_Tp>::type>
1877    { };
1878
1879  /// add_pointer
1880  template<typename _Tp, bool = __or_<__is_referenceable<_Tp>,
1881				      is_void<_Tp>>::value>
1882    struct __add_pointer_helper
1883    { typedef _Tp     type; };
1884
1885  template<typename _Tp>
1886    struct __add_pointer_helper<_Tp, true>
1887    { typedef typename remove_reference<_Tp>::type*     type; };
1888
1889  template<typename _Tp>
1890    struct add_pointer
1891    : public __add_pointer_helper<_Tp>
1892    { };
1893
1894#if __cplusplus > 201103L
1895  /// Alias template for remove_pointer
1896  template<typename _Tp>
1897    using remove_pointer_t = typename remove_pointer<_Tp>::type;
1898
1899  /// Alias template for add_pointer
1900  template<typename _Tp>
1901    using add_pointer_t = typename add_pointer<_Tp>::type;
1902#endif
1903
1904  template<std::size_t _Len>
1905    struct __aligned_storage_msa
1906    {
1907      union __type
1908      {
1909	unsigned char __data[_Len];
1910	struct __attribute__((__aligned__)) { } __align;
1911      };
1912    };
1913
1914  /**
1915   *  @brief Alignment type.
1916   *
1917   *  The value of _Align is a default-alignment which shall be the
1918   *  most stringent alignment requirement for any C++ object type
1919   *  whose size is no greater than _Len (3.9). The member typedef
1920   *  type shall be a POD type suitable for use as uninitialized
1921   *  storage for any object whose size is at most _Len and whose
1922   *  alignment is a divisor of _Align.
1923  */
1924  template<std::size_t _Len, std::size_t _Align =
1925	   __alignof__(typename __aligned_storage_msa<_Len>::__type)>
1926    struct aligned_storage
1927    {
1928      union type
1929      {
1930	unsigned char __data[_Len];
1931	struct __attribute__((__aligned__((_Align)))) { } __align;
1932      };
1933    };
1934
1935  template <typename... _Types>
1936    struct __strictest_alignment
1937    {
1938      static const size_t _S_alignment = 0;
1939      static const size_t _S_size = 0;
1940    };
1941
1942  template <typename _Tp, typename... _Types>
1943    struct __strictest_alignment<_Tp, _Types...>
1944    {
1945      static const size_t _S_alignment =
1946        alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment
1947	? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment;
1948      static const size_t _S_size =
1949        sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size
1950	? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size;
1951    };
1952
1953  /**
1954   *  @brief Provide aligned storage for types.
1955   *
1956   *  [meta.trans.other]
1957   *
1958   *  Provides aligned storage for any of the provided types of at
1959   *  least size _Len.
1960   *
1961   *  @see aligned_storage
1962   */
1963  template <size_t _Len, typename... _Types>
1964    struct aligned_union
1965    {
1966    private:
1967      static_assert(sizeof...(_Types) != 0, "At least one type is required");
1968
1969      using __strictest = __strictest_alignment<_Types...>;
1970      static const size_t _S_len = _Len > __strictest::_S_size
1971	? _Len : __strictest::_S_size;
1972    public:
1973      /// The value of the strictest alignment of _Types.
1974      static const size_t alignment_value = __strictest::_S_alignment;
1975      /// The storage.
1976      typedef typename aligned_storage<_S_len, alignment_value>::type type;
1977    };
1978
1979  template <size_t _Len, typename... _Types>
1980    const size_t aligned_union<_Len, _Types...>::alignment_value;
1981
1982  // Decay trait for arrays and functions, used for perfect forwarding
1983  // in make_pair, make_tuple, etc.
1984  template<typename _Up,
1985	   bool _IsArray = is_array<_Up>::value,
1986	   bool _IsFunction = is_function<_Up>::value>
1987    struct __decay_selector;
1988
1989  // NB: DR 705.
1990  template<typename _Up>
1991    struct __decay_selector<_Up, false, false>
1992    { typedef typename remove_cv<_Up>::type __type; };
1993
1994  template<typename _Up>
1995    struct __decay_selector<_Up, true, false>
1996    { typedef typename remove_extent<_Up>::type* __type; };
1997
1998  template<typename _Up>
1999    struct __decay_selector<_Up, false, true>
2000    { typedef typename add_pointer<_Up>::type __type; };
2001
2002  /// decay
2003  template<typename _Tp>
2004    class decay
2005    {
2006      typedef typename remove_reference<_Tp>::type __remove_type;
2007
2008    public:
2009      typedef typename __decay_selector<__remove_type>::__type type;
2010    };
2011
2012  template<typename _Tp>
2013    class reference_wrapper;
2014
2015  // Helper which adds a reference to a type when given a reference_wrapper
2016  template<typename _Tp>
2017    struct __strip_reference_wrapper
2018    {
2019      typedef _Tp __type;
2020    };
2021
2022  template<typename _Tp>
2023    struct __strip_reference_wrapper<reference_wrapper<_Tp> >
2024    {
2025      typedef _Tp& __type;
2026    };
2027
2028  template<typename _Tp>
2029    struct __decay_and_strip
2030    {
2031      typedef typename __strip_reference_wrapper<
2032	typename decay<_Tp>::type>::__type __type;
2033    };
2034
2035
2036  // Primary template.
2037  /// Define a member typedef @c type only if a boolean constant is true.
2038  template<bool, typename _Tp = void>
2039    struct enable_if
2040    { };
2041
2042  // Partial specialization for true.
2043  template<typename _Tp>
2044    struct enable_if<true, _Tp>
2045    { typedef _Tp type; };
2046
2047  template<typename... _Cond>
2048    using _Require = typename enable_if<__and_<_Cond...>::value>::type;
2049
2050  // Primary template.
2051  /// Define a member typedef @c type to one of two argument types.
2052  template<bool _Cond, typename _Iftrue, typename _Iffalse>
2053    struct conditional
2054    { typedef _Iftrue type; };
2055
2056  // Partial specialization for false.
2057  template<typename _Iftrue, typename _Iffalse>
2058    struct conditional<false, _Iftrue, _Iffalse>
2059    { typedef _Iffalse type; };
2060
2061  /// common_type
2062  template<typename... _Tp>
2063    struct common_type;
2064
2065  // Sfinae-friendly common_type implementation:
2066
2067  struct __do_common_type_impl
2068  {
2069    template<typename _Tp, typename _Up>
2070      static __success_type<typename decay<decltype
2071			    (true ? std::declval<_Tp>()
2072			     : std::declval<_Up>())>::type> _S_test(int);
2073
2074    template<typename, typename>
2075      static __failure_type _S_test(...);
2076  };
2077
2078  template<typename _Tp, typename _Up>
2079    struct __common_type_impl
2080    : private __do_common_type_impl
2081    {
2082      typedef decltype(_S_test<_Tp, _Up>(0)) type;
2083    };
2084
2085  struct __do_member_type_wrapper
2086  {
2087    template<typename _Tp>
2088      static __success_type<typename _Tp::type> _S_test(int);
2089
2090    template<typename>
2091      static __failure_type _S_test(...);
2092  };
2093
2094  template<typename _Tp>
2095    struct __member_type_wrapper
2096    : private __do_member_type_wrapper
2097    {
2098      typedef decltype(_S_test<_Tp>(0)) type;
2099    };
2100
2101  template<typename _CTp, typename... _Args>
2102    struct __expanded_common_type_wrapper
2103    {
2104      typedef common_type<typename _CTp::type, _Args...> type;
2105    };
2106
2107  template<typename... _Args>
2108    struct __expanded_common_type_wrapper<__failure_type, _Args...>
2109    { typedef __failure_type type; };
2110
2111  template<>
2112    struct common_type<>
2113    { };
2114
2115  template<typename _Tp>
2116    struct common_type<_Tp>
2117    : common_type<_Tp, _Tp>
2118    { };
2119
2120  template<typename _Tp, typename _Up>
2121    struct common_type<_Tp, _Up>
2122    : public __common_type_impl<_Tp, _Up>::type
2123    { };
2124
2125  template<typename _Tp, typename _Up, typename... _Vp>
2126    struct common_type<_Tp, _Up, _Vp...>
2127    : public __expanded_common_type_wrapper<typename __member_type_wrapper<
2128               common_type<_Tp, _Up>>::type, _Vp...>::type
2129    { };
2130
2131  template<typename _Tp, bool = is_enum<_Tp>::value>
2132    struct __underlying_type_impl
2133    {
2134      using type = __underlying_type(_Tp);
2135    };
2136
2137  template<typename _Tp>
2138    struct __underlying_type_impl<_Tp, false>
2139    { };
2140
2141  /// The underlying type of an enum.
2142  template<typename _Tp>
2143    struct underlying_type
2144    : public __underlying_type_impl<_Tp>
2145    { };
2146
2147  template<typename _Tp>
2148    struct __declval_protector
2149    {
2150      static const bool __stop = false;
2151    };
2152
2153  template<typename _Tp>
2154    auto declval() noexcept -> decltype(__declval<_Tp>(0))
2155    {
2156      static_assert(__declval_protector<_Tp>::__stop,
2157		    "declval() must not be used!");
2158      return __declval<_Tp>(0);
2159    }
2160
2161  // __remove_cvref_t (std::remove_cvref_t for C++11).
2162  template<typename _Tp>
2163    using __remove_cvref_t
2164     = typename remove_cv<typename remove_reference<_Tp>::type>::type;
2165
2166  /// result_of
2167  template<typename _Signature>
2168    class result_of;
2169
2170  // Sfinae-friendly result_of implementation:
2171
2172#define __cpp_lib_result_of_sfinae 201210
2173
2174  struct __invoke_memfun_ref { };
2175  struct __invoke_memfun_deref { };
2176  struct __invoke_memobj_ref { };
2177  struct __invoke_memobj_deref { };
2178  struct __invoke_other { };
2179
2180  // Associate a tag type with a specialization of __success_type.
2181  template<typename _Tp, typename _Tag>
2182    struct __result_of_success : __success_type<_Tp>
2183    { using __invoke_type = _Tag; };
2184
2185  // [func.require] paragraph 1 bullet 1:
2186  struct __result_of_memfun_ref_impl
2187  {
2188    template<typename _Fp, typename _Tp1, typename... _Args>
2189      static __result_of_success<decltype(
2190      (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
2191      ), __invoke_memfun_ref> _S_test(int);
2192
2193    template<typename...>
2194      static __failure_type _S_test(...);
2195  };
2196
2197  template<typename _MemPtr, typename _Arg, typename... _Args>
2198    struct __result_of_memfun_ref
2199    : private __result_of_memfun_ref_impl
2200    {
2201      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
2202    };
2203
2204  // [func.require] paragraph 1 bullet 2:
2205  struct __result_of_memfun_deref_impl
2206  {
2207    template<typename _Fp, typename _Tp1, typename... _Args>
2208      static __result_of_success<decltype(
2209      ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
2210      ), __invoke_memfun_deref> _S_test(int);
2211
2212    template<typename...>
2213      static __failure_type _S_test(...);
2214  };
2215
2216  template<typename _MemPtr, typename _Arg, typename... _Args>
2217    struct __result_of_memfun_deref
2218    : private __result_of_memfun_deref_impl
2219    {
2220      typedef decltype(_S_test<_MemPtr, _Arg, _Args...>(0)) type;
2221    };
2222
2223  // [func.require] paragraph 1 bullet 3:
2224  struct __result_of_memobj_ref_impl
2225  {
2226    template<typename _Fp, typename _Tp1>
2227      static __result_of_success<decltype(
2228      std::declval<_Tp1>().*std::declval<_Fp>()
2229      ), __invoke_memobj_ref> _S_test(int);
2230
2231    template<typename, typename>
2232      static __failure_type _S_test(...);
2233  };
2234
2235  template<typename _MemPtr, typename _Arg>
2236    struct __result_of_memobj_ref
2237    : private __result_of_memobj_ref_impl
2238    {
2239      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
2240    };
2241
2242  // [func.require] paragraph 1 bullet 4:
2243  struct __result_of_memobj_deref_impl
2244  {
2245    template<typename _Fp, typename _Tp1>
2246      static __result_of_success<decltype(
2247      (*std::declval<_Tp1>()).*std::declval<_Fp>()
2248      ), __invoke_memobj_deref> _S_test(int);
2249
2250    template<typename, typename>
2251      static __failure_type _S_test(...);
2252  };
2253
2254  template<typename _MemPtr, typename _Arg>
2255    struct __result_of_memobj_deref
2256    : private __result_of_memobj_deref_impl
2257    {
2258      typedef decltype(_S_test<_MemPtr, _Arg>(0)) type;
2259    };
2260
2261  template<typename _MemPtr, typename _Arg>
2262    struct __result_of_memobj;
2263
2264  template<typename _Res, typename _Class, typename _Arg>
2265    struct __result_of_memobj<_Res _Class::*, _Arg>
2266    {
2267      typedef __remove_cvref_t<_Arg> _Argval;
2268      typedef _Res _Class::* _MemPtr;
2269      typedef typename conditional<__or_<is_same<_Argval, _Class>,
2270        is_base_of<_Class, _Argval>>::value,
2271        __result_of_memobj_ref<_MemPtr, _Arg>,
2272        __result_of_memobj_deref<_MemPtr, _Arg>
2273      >::type::type type;
2274    };
2275
2276  template<typename _MemPtr, typename _Arg, typename... _Args>
2277    struct __result_of_memfun;
2278
2279  template<typename _Res, typename _Class, typename _Arg, typename... _Args>
2280    struct __result_of_memfun<_Res _Class::*, _Arg, _Args...>
2281    {
2282      typedef typename remove_reference<_Arg>::type _Argval;
2283      typedef _Res _Class::* _MemPtr;
2284      typedef typename conditional<is_base_of<_Class, _Argval>::value,
2285        __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
2286        __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
2287      >::type::type type;
2288    };
2289
2290  // _GLIBCXX_RESOLVE_LIB_DEFECTS
2291  // 2219.  INVOKE-ing a pointer to member with a reference_wrapper
2292  //        as the object expression
2293
2294  // Used by result_of, invoke etc. to unwrap a reference_wrapper.
2295  template<typename _Tp, typename _Up = __remove_cvref_t<_Tp>>
2296    struct __inv_unwrap
2297    {
2298      using type = _Tp;
2299    };
2300
2301  template<typename _Tp, typename _Up>
2302    struct __inv_unwrap<_Tp, reference_wrapper<_Up>>
2303    {
2304      using type = _Up&;
2305    };
2306
2307  template<bool, bool, typename _Functor, typename... _ArgTypes>
2308    struct __result_of_impl
2309    {
2310      typedef __failure_type type;
2311    };
2312
2313  template<typename _MemPtr, typename _Arg>
2314    struct __result_of_impl<true, false, _MemPtr, _Arg>
2315    : public __result_of_memobj<typename decay<_MemPtr>::type,
2316				typename __inv_unwrap<_Arg>::type>
2317    { };
2318
2319  template<typename _MemPtr, typename _Arg, typename... _Args>
2320    struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...>
2321    : public __result_of_memfun<typename decay<_MemPtr>::type,
2322				typename __inv_unwrap<_Arg>::type, _Args...>
2323    { };
2324
2325  // [func.require] paragraph 1 bullet 5:
2326  struct __result_of_other_impl
2327  {
2328    template<typename _Fn, typename... _Args>
2329      static __result_of_success<decltype(
2330      std::declval<_Fn>()(std::declval<_Args>()...)
2331      ), __invoke_other> _S_test(int);
2332
2333    template<typename...>
2334      static __failure_type _S_test(...);
2335  };
2336
2337  template<typename _Functor, typename... _ArgTypes>
2338    struct __result_of_impl<false, false, _Functor, _ArgTypes...>
2339    : private __result_of_other_impl
2340    {
2341      typedef decltype(_S_test<_Functor, _ArgTypes...>(0)) type;
2342    };
2343
2344  // __invoke_result (std::invoke_result for C++11)
2345  template<typename _Functor, typename... _ArgTypes>
2346    struct __invoke_result
2347    : public __result_of_impl<
2348        is_member_object_pointer<
2349          typename remove_reference<_Functor>::type
2350        >::value,
2351        is_member_function_pointer<
2352          typename remove_reference<_Functor>::type
2353        >::value,
2354	_Functor, _ArgTypes...
2355      >::type
2356    { };
2357
2358  template<typename _Functor, typename... _ArgTypes>
2359    struct result_of<_Functor(_ArgTypes...)>
2360    : public __invoke_result<_Functor, _ArgTypes...>
2361    { };
2362
2363#if __cplusplus >= 201402L
2364  /// Alias template for aligned_storage
2365  template<size_t _Len, size_t _Align =
2366	    __alignof__(typename __aligned_storage_msa<_Len>::__type)>
2367    using aligned_storage_t = typename aligned_storage<_Len, _Align>::type;
2368
2369  template <size_t _Len, typename... _Types>
2370    using aligned_union_t = typename aligned_union<_Len, _Types...>::type;
2371
2372  /// Alias template for decay
2373  template<typename _Tp>
2374    using decay_t = typename decay<_Tp>::type;
2375
2376  /// Alias template for enable_if
2377  template<bool _Cond, typename _Tp = void>
2378    using enable_if_t = typename enable_if<_Cond, _Tp>::type;
2379
2380  /// Alias template for conditional
2381  template<bool _Cond, typename _Iftrue, typename _Iffalse>
2382    using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type;
2383
2384  /// Alias template for common_type
2385  template<typename... _Tp>
2386    using common_type_t = typename common_type<_Tp...>::type;
2387
2388  /// Alias template for underlying_type
2389  template<typename _Tp>
2390    using underlying_type_t = typename underlying_type<_Tp>::type;
2391
2392  /// Alias template for result_of
2393  template<typename _Tp>
2394    using result_of_t = typename result_of<_Tp>::type;
2395#endif // C++14
2396
2397  // __enable_if_t (std::enable_if_t for C++11)
2398  template<bool _Cond, typename _Tp = void>
2399    using __enable_if_t = typename enable_if<_Cond, _Tp>::type;
2400
2401  // __void_t (std::void_t for C++11)
2402  template<typename...> using __void_t = void;
2403
2404#if __cplusplus >= 201703L || !defined(__STRICT_ANSI__) // c++17 or gnu++11
2405#define __cpp_lib_void_t 201411
2406  /// A metafunction that always yields void, used for detecting valid types.
2407  template<typename...> using void_t = void;
2408#endif
2409
2410  /// Implementation of the detection idiom (negative case).
2411  template<typename _Default, typename _AlwaysVoid,
2412	   template<typename...> class _Op, typename... _Args>
2413    struct __detector
2414    {
2415      using value_t = false_type;
2416      using type = _Default;
2417    };
2418
2419  /// Implementation of the detection idiom (positive case).
2420  template<typename _Default, template<typename...> class _Op,
2421	    typename... _Args>
2422    struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...>
2423    {
2424      using value_t = true_type;
2425      using type = _Op<_Args...>;
2426    };
2427
2428  // Detect whether _Op<_Args...> is a valid type, use _Default if not.
2429  template<typename _Default, template<typename...> class _Op,
2430	   typename... _Args>
2431    using __detected_or = __detector<_Default, void, _Op, _Args...>;
2432
2433  // _Op<_Args...> if that is a valid type, otherwise _Default.
2434  template<typename _Default, template<typename...> class _Op,
2435	   typename... _Args>
2436    using __detected_or_t
2437      = typename __detected_or<_Default, _Op, _Args...>::type;
2438
2439  /// @} group metaprogramming
2440
2441  /**
2442   *  Use SFINAE to determine if the type _Tp has a publicly-accessible
2443   *  member type _NTYPE.
2444   */
2445#define _GLIBCXX_HAS_NESTED_TYPE(_NTYPE)				\
2446  template<typename _Tp, typename = __void_t<>>				\
2447    struct __has_##_NTYPE						\
2448    : false_type							\
2449    { };								\
2450  template<typename _Tp>						\
2451    struct __has_##_NTYPE<_Tp, __void_t<typename _Tp::_NTYPE>>		\
2452    : true_type								\
2453    { };
2454
2455  template <typename _Tp>
2456    struct __is_swappable;
2457
2458  template <typename _Tp>
2459    struct __is_nothrow_swappable;
2460
2461  template<typename... _Elements>
2462    class tuple;
2463
2464  template<typename>
2465    struct __is_tuple_like_impl : false_type
2466    { };
2467
2468  template<typename... _Tps>
2469    struct __is_tuple_like_impl<tuple<_Tps...>> : true_type
2470    { };
2471
2472  // Internal type trait that allows us to sfinae-protect tuple_cat.
2473  template<typename _Tp>
2474    struct __is_tuple_like
2475    : public __is_tuple_like_impl<__remove_cvref_t<_Tp>>::type
2476    { };
2477
2478  template<typename _Tp>
2479    inline
2480    typename enable_if<__and_<__not_<__is_tuple_like<_Tp>>,
2481			      is_move_constructible<_Tp>,
2482			      is_move_assignable<_Tp>>::value>::type
2483    swap(_Tp&, _Tp&)
2484    noexcept(__and_<is_nothrow_move_constructible<_Tp>,
2485	            is_nothrow_move_assignable<_Tp>>::value);
2486
2487  template<typename _Tp, size_t _Nm>
2488    inline
2489    typename enable_if<__is_swappable<_Tp>::value>::type
2490    swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
2491    noexcept(__is_nothrow_swappable<_Tp>::value);
2492
2493  namespace __swappable_details {
2494    using std::swap;
2495
2496    struct __do_is_swappable_impl
2497    {
2498      template<typename _Tp, typename
2499               = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))>
2500        static true_type __test(int);
2501
2502      template<typename>
2503        static false_type __test(...);
2504    };
2505
2506    struct __do_is_nothrow_swappable_impl
2507    {
2508      template<typename _Tp>
2509        static __bool_constant<
2510          noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))
2511        > __test(int);
2512
2513      template<typename>
2514        static false_type __test(...);
2515    };
2516
2517  } // namespace __swappable_details
2518
2519  template<typename _Tp>
2520    struct __is_swappable_impl
2521    : public __swappable_details::__do_is_swappable_impl
2522    {
2523      typedef decltype(__test<_Tp>(0)) type;
2524    };
2525
2526  template<typename _Tp>
2527    struct __is_nothrow_swappable_impl
2528    : public __swappable_details::__do_is_nothrow_swappable_impl
2529    {
2530      typedef decltype(__test<_Tp>(0)) type;
2531    };
2532
2533  template<typename _Tp>
2534    struct __is_swappable
2535    : public __is_swappable_impl<_Tp>::type
2536    { };
2537
2538  template<typename _Tp>
2539    struct __is_nothrow_swappable
2540    : public __is_nothrow_swappable_impl<_Tp>::type
2541    { };
2542
2543#if __cplusplus > 201402L || !defined(__STRICT_ANSI__) // c++1z or gnu++11
2544#define __cpp_lib_is_swappable 201603
2545  /// Metafunctions used for detecting swappable types: p0185r1
2546
2547  /// is_swappable
2548  template<typename _Tp>
2549    struct is_swappable
2550    : public __is_swappable_impl<_Tp>::type
2551    { };
2552
2553  /// is_nothrow_swappable
2554  template<typename _Tp>
2555    struct is_nothrow_swappable
2556    : public __is_nothrow_swappable_impl<_Tp>::type
2557    { };
2558
2559#if __cplusplus >= 201402L
2560  /// is_swappable_v
2561  template<typename _Tp>
2562    _GLIBCXX17_INLINE constexpr bool is_swappable_v =
2563      is_swappable<_Tp>::value;
2564
2565  /// is_nothrow_swappable_v
2566  template<typename _Tp>
2567    _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_v =
2568      is_nothrow_swappable<_Tp>::value;
2569#endif // __cplusplus >= 201402L
2570
2571  namespace __swappable_with_details {
2572    using std::swap;
2573
2574    struct __do_is_swappable_with_impl
2575    {
2576      template<typename _Tp, typename _Up, typename
2577               = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())),
2578               typename
2579               = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))>
2580        static true_type __test(int);
2581
2582      template<typename, typename>
2583        static false_type __test(...);
2584    };
2585
2586    struct __do_is_nothrow_swappable_with_impl
2587    {
2588      template<typename _Tp, typename _Up>
2589        static __bool_constant<
2590          noexcept(swap(std::declval<_Tp>(), std::declval<_Up>()))
2591          &&
2592          noexcept(swap(std::declval<_Up>(), std::declval<_Tp>()))
2593        > __test(int);
2594
2595      template<typename, typename>
2596        static false_type __test(...);
2597    };
2598
2599  } // namespace __swappable_with_details
2600
2601  template<typename _Tp, typename _Up>
2602    struct __is_swappable_with_impl
2603    : public __swappable_with_details::__do_is_swappable_with_impl
2604    {
2605      typedef decltype(__test<_Tp, _Up>(0)) type;
2606    };
2607
2608  // Optimization for the homogenous lvalue case, not required:
2609  template<typename _Tp>
2610    struct __is_swappable_with_impl<_Tp&, _Tp&>
2611    : public __swappable_details::__do_is_swappable_impl
2612    {
2613      typedef decltype(__test<_Tp&>(0)) type;
2614    };
2615
2616  template<typename _Tp, typename _Up>
2617    struct __is_nothrow_swappable_with_impl
2618    : public __swappable_with_details::__do_is_nothrow_swappable_with_impl
2619    {
2620      typedef decltype(__test<_Tp, _Up>(0)) type;
2621    };
2622
2623  // Optimization for the homogenous lvalue case, not required:
2624  template<typename _Tp>
2625    struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&>
2626    : public __swappable_details::__do_is_nothrow_swappable_impl
2627    {
2628      typedef decltype(__test<_Tp&>(0)) type;
2629    };
2630
2631  /// is_swappable_with
2632  template<typename _Tp, typename _Up>
2633    struct is_swappable_with
2634    : public __is_swappable_with_impl<_Tp, _Up>::type
2635    { };
2636
2637  /// is_nothrow_swappable_with
2638  template<typename _Tp, typename _Up>
2639    struct is_nothrow_swappable_with
2640    : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
2641    { };
2642
2643#if __cplusplus >= 201402L
2644  /// is_swappable_with_v
2645  template<typename _Tp, typename _Up>
2646    _GLIBCXX17_INLINE constexpr bool is_swappable_with_v =
2647      is_swappable_with<_Tp, _Up>::value;
2648
2649  /// is_nothrow_swappable_with_v
2650  template<typename _Tp, typename _Up>
2651    _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_with_v =
2652      is_nothrow_swappable_with<_Tp, _Up>::value;
2653#endif // __cplusplus >= 201402L
2654
2655#endif// c++1z or gnu++11
2656
2657  // __is_invocable (std::is_invocable for C++11)
2658
2659  // The primary template is used for invalid INVOKE expressions.
2660  template<typename _Result, typename _Ret,
2661	   bool = is_void<_Ret>::value, typename = void>
2662    struct __is_invocable_impl : false_type { };
2663
2664  // Used for valid INVOKE and INVOKE<void> expressions.
2665  template<typename _Result, typename _Ret>
2666    struct __is_invocable_impl<_Result, _Ret,
2667			       /* is_void<_Ret> = */ true,
2668			       __void_t<typename _Result::type>>
2669    : true_type
2670    { };
2671
2672#pragma GCC diagnostic push
2673#pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
2674  // Used for INVOKE<R> expressions to check the implicit conversion to R.
2675  template<typename _Result, typename _Ret>
2676    struct __is_invocable_impl<_Result, _Ret,
2677			       /* is_void<_Ret> = */ false,
2678			       __void_t<typename _Result::type>>
2679    {
2680    private:
2681      // The type of the INVOKE expression.
2682      // Unlike declval, this doesn't add_rvalue_reference.
2683      static typename _Result::type _S_get();
2684
2685      template<typename _Tp>
2686	static void _S_conv(_Tp);
2687
2688      // This overload is viable if INVOKE(f, args...) can convert to _Tp.
2689      template<typename _Tp, typename = decltype(_S_conv<_Tp>(_S_get()))>
2690	static true_type
2691	_S_test(int);
2692
2693      template<typename _Tp>
2694	static false_type
2695	_S_test(...);
2696
2697    public:
2698      using type = decltype(_S_test<_Ret>(1));
2699    };
2700#pragma GCC diagnostic pop
2701
2702  template<typename _Fn, typename... _ArgTypes>
2703    struct __is_invocable
2704    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
2705    { };
2706
2707  template<typename _Fn, typename _Tp, typename... _Args>
2708    constexpr bool __call_is_nt(__invoke_memfun_ref)
2709    {
2710      using _Up = typename __inv_unwrap<_Tp>::type;
2711      return noexcept((std::declval<_Up>().*std::declval<_Fn>())(
2712	    std::declval<_Args>()...));
2713    }
2714
2715  template<typename _Fn, typename _Tp, typename... _Args>
2716    constexpr bool __call_is_nt(__invoke_memfun_deref)
2717    {
2718      return noexcept(((*std::declval<_Tp>()).*std::declval<_Fn>())(
2719	    std::declval<_Args>()...));
2720    }
2721
2722  template<typename _Fn, typename _Tp>
2723    constexpr bool __call_is_nt(__invoke_memobj_ref)
2724    {
2725      using _Up = typename __inv_unwrap<_Tp>::type;
2726      return noexcept(std::declval<_Up>().*std::declval<_Fn>());
2727    }
2728
2729  template<typename _Fn, typename _Tp>
2730    constexpr bool __call_is_nt(__invoke_memobj_deref)
2731    {
2732      return noexcept((*std::declval<_Tp>()).*std::declval<_Fn>());
2733    }
2734
2735  template<typename _Fn, typename... _Args>
2736    constexpr bool __call_is_nt(__invoke_other)
2737    {
2738      return noexcept(std::declval<_Fn>()(std::declval<_Args>()...));
2739    }
2740
2741  template<typename _Result, typename _Fn, typename... _Args>
2742    struct __call_is_nothrow
2743    : __bool_constant<
2744	std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{})
2745      >
2746    { };
2747
2748  template<typename _Fn, typename... _Args>
2749    using __call_is_nothrow_
2750      = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>;
2751
2752  // __is_nothrow_invocable (std::is_nothrow_invocable for C++11)
2753  template<typename _Fn, typename... _Args>
2754    struct __is_nothrow_invocable
2755    : __and_<__is_invocable<_Fn, _Args...>,
2756             __call_is_nothrow_<_Fn, _Args...>>::type
2757    { };
2758
2759  struct __nonesuch {
2760    __nonesuch() = delete;
2761    ~__nonesuch() = delete;
2762    __nonesuch(__nonesuch const&) = delete;
2763    void operator=(__nonesuch const&) = delete;
2764  };
2765
2766#if __cplusplus >= 201703L
2767# define __cpp_lib_is_invocable 201703
2768
2769  /// std::invoke_result
2770  template<typename _Functor, typename... _ArgTypes>
2771    struct invoke_result
2772    : public __invoke_result<_Functor, _ArgTypes...>
2773    { };
2774
2775  /// std::invoke_result_t
2776  template<typename _Fn, typename... _Args>
2777    using invoke_result_t = typename invoke_result<_Fn, _Args...>::type;
2778
2779  /// std::is_invocable
2780  template<typename _Fn, typename... _ArgTypes>
2781    struct is_invocable
2782    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
2783    { };
2784
2785  /// std::is_invocable_r
2786  template<typename _Ret, typename _Fn, typename... _ArgTypes>
2787    struct is_invocable_r
2788    : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type
2789    { };
2790
2791  /// std::is_nothrow_invocable
2792  template<typename _Fn, typename... _ArgTypes>
2793    struct is_nothrow_invocable
2794    : __and_<__is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>,
2795             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
2796    { };
2797
2798  template<typename _Result, typename _Ret, typename = void>
2799    struct __is_nt_invocable_impl : false_type { };
2800
2801  template<typename _Result, typename _Ret>
2802    struct __is_nt_invocable_impl<_Result, _Ret,
2803				  __void_t<typename _Result::type>>
2804    : __or_<is_void<_Ret>,
2805	    __and_<is_convertible<typename _Result::type, _Ret>,
2806		   is_nothrow_constructible<_Ret, typename _Result::type>>>
2807    { };
2808
2809  /// std::is_nothrow_invocable_r
2810  template<typename _Ret, typename _Fn, typename... _ArgTypes>
2811    struct is_nothrow_invocable_r
2812    : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
2813             __call_is_nothrow_<_Fn, _ArgTypes...>>::type
2814    { };
2815
2816  /// std::is_invocable_v
2817  template<typename _Fn, typename... _Args>
2818    inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value;
2819
2820  /// std::is_nothrow_invocable_v
2821  template<typename _Fn, typename... _Args>
2822    inline constexpr bool is_nothrow_invocable_v
2823      = is_nothrow_invocable<_Fn, _Args...>::value;
2824
2825  /// std::is_invocable_r_v
2826  template<typename _Fn, typename... _Args>
2827    inline constexpr bool is_invocable_r_v
2828      = is_invocable_r<_Fn, _Args...>::value;
2829
2830  /// std::is_nothrow_invocable_r_v
2831  template<typename _Fn, typename... _Args>
2832    inline constexpr bool is_nothrow_invocable_r_v
2833      = is_nothrow_invocable_r<_Fn, _Args...>::value;
2834#endif // C++17
2835
2836#if __cplusplus >= 201703L
2837# define __cpp_lib_type_trait_variable_templates 201510L
2838template <typename _Tp>
2839  inline constexpr bool is_void_v = is_void<_Tp>::value;
2840template <typename _Tp>
2841  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
2842template <typename _Tp>
2843  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
2844template <typename _Tp>
2845  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;
2846template <typename _Tp>
2847  inline constexpr bool is_array_v = is_array<_Tp>::value;
2848template <typename _Tp>
2849  inline constexpr bool is_pointer_v = is_pointer<_Tp>::value;
2850template <typename _Tp>
2851  inline constexpr bool is_lvalue_reference_v =
2852    is_lvalue_reference<_Tp>::value;
2853template <typename _Tp>
2854  inline constexpr bool is_rvalue_reference_v =
2855    is_rvalue_reference<_Tp>::value;
2856template <typename _Tp>
2857  inline constexpr bool is_member_object_pointer_v =
2858    is_member_object_pointer<_Tp>::value;
2859template <typename _Tp>
2860  inline constexpr bool is_member_function_pointer_v =
2861    is_member_function_pointer<_Tp>::value;
2862template <typename _Tp>
2863  inline constexpr bool is_enum_v = is_enum<_Tp>::value;
2864template <typename _Tp>
2865  inline constexpr bool is_union_v = is_union<_Tp>::value;
2866template <typename _Tp>
2867  inline constexpr bool is_class_v = is_class<_Tp>::value;
2868template <typename _Tp>
2869  inline constexpr bool is_function_v = is_function<_Tp>::value;
2870template <typename _Tp>
2871  inline constexpr bool is_reference_v = is_reference<_Tp>::value;
2872template <typename _Tp>
2873  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
2874template <typename _Tp>
2875  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;
2876template <typename _Tp>
2877  inline constexpr bool is_object_v = is_object<_Tp>::value;
2878template <typename _Tp>
2879  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
2880template <typename _Tp>
2881  inline constexpr bool is_compound_v = is_compound<_Tp>::value;
2882template <typename _Tp>
2883  inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value;
2884template <typename _Tp>
2885  inline constexpr bool is_const_v = is_const<_Tp>::value;
2886template <typename _Tp>
2887  inline constexpr bool is_volatile_v = is_volatile<_Tp>::value;
2888template <typename _Tp>
2889  inline constexpr bool is_trivial_v = is_trivial<_Tp>::value;
2890template <typename _Tp>
2891  inline constexpr bool is_trivially_copyable_v =
2892    is_trivially_copyable<_Tp>::value;
2893template <typename _Tp>
2894  inline constexpr bool is_standard_layout_v = is_standard_layout<_Tp>::value;
2895template <typename _Tp>
2896  inline constexpr bool is_pod_v = is_pod<_Tp>::value;
2897template <typename _Tp>
2898  inline constexpr bool is_literal_type_v = is_literal_type<_Tp>::value;
2899template <typename _Tp>
2900  inline constexpr bool is_empty_v = is_empty<_Tp>::value;
2901template <typename _Tp>
2902  inline constexpr bool is_polymorphic_v = is_polymorphic<_Tp>::value;
2903template <typename _Tp>
2904  inline constexpr bool is_abstract_v = is_abstract<_Tp>::value;
2905template <typename _Tp>
2906  inline constexpr bool is_final_v = is_final<_Tp>::value;
2907template <typename _Tp>
2908  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
2909template <typename _Tp>
2910  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;
2911template <typename _Tp, typename... _Args>
2912  inline constexpr bool is_constructible_v =
2913    is_constructible<_Tp, _Args...>::value;
2914template <typename _Tp>
2915  inline constexpr bool is_default_constructible_v =
2916    is_default_constructible<_Tp>::value;
2917template <typename _Tp>
2918  inline constexpr bool is_copy_constructible_v =
2919    is_copy_constructible<_Tp>::value;
2920template <typename _Tp>
2921  inline constexpr bool is_move_constructible_v =
2922    is_move_constructible<_Tp>::value;
2923template <typename _Tp, typename _Up>
2924  inline constexpr bool is_assignable_v = is_assignable<_Tp, _Up>::value;
2925template <typename _Tp>
2926  inline constexpr bool is_copy_assignable_v = is_copy_assignable<_Tp>::value;
2927template <typename _Tp>
2928  inline constexpr bool is_move_assignable_v = is_move_assignable<_Tp>::value;
2929template <typename _Tp>
2930  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;
2931template <typename _Tp, typename... _Args>
2932  inline constexpr bool is_trivially_constructible_v =
2933    is_trivially_constructible<_Tp, _Args...>::value;
2934template <typename _Tp>
2935  inline constexpr bool is_trivially_default_constructible_v =
2936    is_trivially_default_constructible<_Tp>::value;
2937template <typename _Tp>
2938  inline constexpr bool is_trivially_copy_constructible_v =
2939    is_trivially_copy_constructible<_Tp>::value;
2940template <typename _Tp>
2941  inline constexpr bool is_trivially_move_constructible_v =
2942    is_trivially_move_constructible<_Tp>::value;
2943template <typename _Tp, typename _Up>
2944  inline constexpr bool is_trivially_assignable_v =
2945    is_trivially_assignable<_Tp, _Up>::value;
2946template <typename _Tp>
2947  inline constexpr bool is_trivially_copy_assignable_v =
2948    is_trivially_copy_assignable<_Tp>::value;
2949template <typename _Tp>
2950  inline constexpr bool is_trivially_move_assignable_v =
2951    is_trivially_move_assignable<_Tp>::value;
2952template <typename _Tp>
2953  inline constexpr bool is_trivially_destructible_v =
2954    is_trivially_destructible<_Tp>::value;
2955template <typename _Tp, typename... _Args>
2956  inline constexpr bool is_nothrow_constructible_v =
2957    is_nothrow_constructible<_Tp, _Args...>::value;
2958template <typename _Tp>
2959  inline constexpr bool is_nothrow_default_constructible_v =
2960    is_nothrow_default_constructible<_Tp>::value;
2961template <typename _Tp>
2962  inline constexpr bool is_nothrow_copy_constructible_v =
2963    is_nothrow_copy_constructible<_Tp>::value;
2964template <typename _Tp>
2965  inline constexpr bool is_nothrow_move_constructible_v =
2966    is_nothrow_move_constructible<_Tp>::value;
2967template <typename _Tp, typename _Up>
2968  inline constexpr bool is_nothrow_assignable_v =
2969    is_nothrow_assignable<_Tp, _Up>::value;
2970template <typename _Tp>
2971  inline constexpr bool is_nothrow_copy_assignable_v =
2972    is_nothrow_copy_assignable<_Tp>::value;
2973template <typename _Tp>
2974  inline constexpr bool is_nothrow_move_assignable_v =
2975    is_nothrow_move_assignable<_Tp>::value;
2976template <typename _Tp>
2977  inline constexpr bool is_nothrow_destructible_v =
2978    is_nothrow_destructible<_Tp>::value;
2979template <typename _Tp>
2980  inline constexpr bool has_virtual_destructor_v =
2981    has_virtual_destructor<_Tp>::value;
2982template <typename _Tp>
2983  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;
2984template <typename _Tp>
2985  inline constexpr size_t rank_v = rank<_Tp>::value;
2986template <typename _Tp, unsigned _Idx = 0>
2987  inline constexpr size_t extent_v = extent<_Tp, _Idx>::value;
2988template <typename _Tp, typename _Up>
2989  inline constexpr bool is_same_v = is_same<_Tp, _Up>::value;
2990template <typename _Base, typename _Derived>
2991  inline constexpr bool is_base_of_v = is_base_of<_Base, _Derived>::value;
2992template <typename _From, typename _To>
2993  inline constexpr bool is_convertible_v = is_convertible<_From, _To>::value;
2994
2995#ifdef _GLIBCXX_HAVE_BUILTIN_HAS_UNIQ_OBJ_REP
2996# define __cpp_lib_has_unique_object_representations 201606
2997  /// has_unique_object_representations
2998  template<typename _Tp>
2999    struct has_unique_object_representations
3000    : bool_constant<__has_unique_object_representations(
3001      remove_cv_t<remove_all_extents_t<_Tp>>
3002      )>
3003    { };
3004
3005  template<typename _Tp>
3006    inline constexpr bool has_unique_object_representations_v
3007      = has_unique_object_representations<_Tp>::value;
3008#endif
3009
3010#ifdef _GLIBCXX_HAVE_BUILTIN_IS_AGGREGATE
3011# define __cpp_lib_is_aggregate 201703
3012  /// is_aggregate
3013  template<typename _Tp>
3014    struct is_aggregate
3015    : bool_constant<__is_aggregate(remove_cv_t<_Tp>)> { };
3016
3017  /// is_aggregate_v
3018  template<typename _Tp>
3019    inline constexpr bool is_aggregate_v = is_aggregate<_Tp>::value;
3020#endif
3021#endif // C++17
3022
3023#if __cplusplus > 201703L
3024#define __cpp_lib_remove_cvref 201711L
3025
3026  /// Remove references and cv-qualifiers.
3027  template<typename _Tp>
3028    struct remove_cvref
3029    {
3030      using type = __remove_cvref_t<_Tp>;
3031    };
3032
3033  template<typename _Tp>
3034    using remove_cvref_t = __remove_cvref_t<_Tp>;
3035
3036#define __cpp_lib_type_identity 201806L
3037  /// Identity metafunction.
3038  template<typename _Tp>
3039    struct type_identity { using type = _Tp; };
3040
3041  template<typename _Tp>
3042    using type_identity_t = typename type_identity<_Tp>::type;
3043
3044#define __cpp_lib_unwrap_ref 201811L
3045
3046  /// Unwrap a reference_wrapper
3047  template<typename _Tp>
3048    struct unwrap_reference { using type = _Tp; };
3049
3050  template<typename _Tp>
3051    struct unwrap_reference<reference_wrapper<_Tp>> { using type = _Tp&; };
3052
3053  template<typename _Tp>
3054    using unwrap_reference_t = typename unwrap_reference<_Tp>::type;
3055
3056  /// Decay type and if it's a reference_wrapper, unwrap it
3057  template<typename _Tp>
3058    struct unwrap_ref_decay { using type = unwrap_reference_t<decay_t<_Tp>>; };
3059
3060  template<typename _Tp>
3061    using unwrap_ref_decay_t = typename unwrap_ref_decay<_Tp>::type;
3062
3063#define __cpp_lib_bounded_array_traits 201902L
3064
3065  /// True for a type that is an array of known bound.
3066  template<typename _Tp>
3067    struct is_bounded_array
3068    : public __is_array_known_bounds<_Tp>
3069    { };
3070
3071  /// True for a type that is an array of unknown bound.
3072  template<typename _Tp>
3073    struct is_unbounded_array
3074    : public __is_array_unknown_bounds<_Tp>
3075    { };
3076
3077  template<typename _Tp>
3078    inline constexpr bool is_bounded_array_v
3079      = is_bounded_array<_Tp>::value;
3080
3081  template<typename _Tp>
3082    inline constexpr bool is_unbounded_array_v
3083      = is_unbounded_array<_Tp>::value;
3084
3085#ifdef _GLIBCXX_HAVE_BUILTIN_IS_CONSTANT_EVALUATED
3086
3087#define __cpp_lib_is_constant_evaluated 201811L
3088
3089  constexpr inline bool
3090  is_constant_evaluated() noexcept
3091  { return __builtin_is_constant_evaluated(); }
3092#endif
3093
3094#endif // C++2a
3095
3096_GLIBCXX_END_NAMESPACE_VERSION
3097} // namespace std
3098
3099#endif  // C++11
3100
3101#endif  // _GLIBCXX_TYPE_TRAITS
3102