libstdc++
type_traits
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1 // C++11 <type_traits> -*- C++ -*-
2 
3 // Copyright (C) 2007-2024 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 
40 #define __glibcxx_want_bool_constant
41 #define __glibcxx_want_bounded_array_traits
42 #define __glibcxx_want_has_unique_object_representations
43 #define __glibcxx_want_integral_constant_callable
44 #define __glibcxx_want_is_aggregate
45 #define __glibcxx_want_is_constant_evaluated
46 #define __glibcxx_want_is_final
47 #define __glibcxx_want_is_invocable
48 #define __glibcxx_want_is_layout_compatible
49 #define __glibcxx_want_is_nothrow_convertible
50 #define __glibcxx_want_is_null_pointer
51 #define __glibcxx_want_is_pointer_interconvertible
52 #define __glibcxx_want_is_scoped_enum
53 #define __glibcxx_want_is_swappable
54 #define __glibcxx_want_logical_traits
55 #define __glibcxx_want_reference_from_temporary
56 #define __glibcxx_want_remove_cvref
57 #define __glibcxx_want_result_of_sfinae
58 #define __glibcxx_want_transformation_trait_aliases
59 #define __glibcxx_want_type_identity
60 #define __glibcxx_want_type_trait_variable_templates
61 #define __glibcxx_want_unwrap_ref
62 #define __glibcxx_want_void_t
63 #include <bits/version.h>
64 
65 namespace std _GLIBCXX_VISIBILITY(default)
66 {
67 _GLIBCXX_BEGIN_NAMESPACE_VERSION
68 
69  template<typename _Tp>
70  class reference_wrapper;
71 
72  /**
73  * @defgroup metaprogramming Metaprogramming
74  * @ingroup utilities
75  *
76  * Template utilities for compile-time introspection and modification,
77  * including type classification traits, type property inspection traits
78  * and type transformation traits.
79  *
80  * @since C++11
81  *
82  * @{
83  */
84 
85  /// integral_constant
86  template<typename _Tp, _Tp __v>
87  struct integral_constant
88  {
89  static constexpr _Tp value = __v;
90  using value_type = _Tp;
91  using type = integral_constant<_Tp, __v>;
92  constexpr operator value_type() const noexcept { return value; }
93 
94 #ifdef __cpp_lib_integral_constant_callable // C++ >= 14
95  constexpr value_type operator()() const noexcept { return value; }
96 #endif
97  };
98 
99 #if ! __cpp_inline_variables
100  template<typename _Tp, _Tp __v>
101  constexpr _Tp integral_constant<_Tp, __v>::value;
102 #endif
103 
104  /// @cond undocumented
105  /// bool_constant for C++11
106  template<bool __v>
107  using __bool_constant = integral_constant<bool, __v>;
108  /// @endcond
109 
110  /// The type used as a compile-time boolean with true value.
111  using true_type = __bool_constant<true>;
112 
113  /// The type used as a compile-time boolean with false value.
114  using false_type = __bool_constant<false>;
115 
116 #ifdef __cpp_lib_bool_constant // C++ >= 17
117  /// Alias template for compile-time boolean constant types.
118  /// @since C++17
119  template<bool __v>
120  using bool_constant = __bool_constant<__v>;
121 #endif
122 
123  // Metaprogramming helper types.
124 
125  // Primary template.
126  /// Define a member typedef `type` only if a boolean constant is true.
127  template<bool, typename _Tp = void>
128  struct enable_if
129  { };
130 
131  // Partial specialization for true.
132  template<typename _Tp>
133  struct enable_if<true, _Tp>
134  { using type = _Tp; };
135 
136  // __enable_if_t (std::enable_if_t for C++11)
137  template<bool _Cond, typename _Tp = void>
138  using __enable_if_t = typename enable_if<_Cond, _Tp>::type;
139 
140  template<bool>
141  struct __conditional
142  {
143  template<typename _Tp, typename>
144  using type = _Tp;
145  };
146 
147  template<>
148  struct __conditional<false>
149  {
150  template<typename, typename _Up>
151  using type = _Up;
152  };
153 
154  // More efficient version of std::conditional_t for internal use (and C++11)
155  template<bool _Cond, typename _If, typename _Else>
156  using __conditional_t
157  = typename __conditional<_Cond>::template type<_If, _Else>;
158 
159  /// @cond undocumented
160  template <typename _Type>
161  struct __type_identity
162  { using type = _Type; };
163 
164  template<typename _Tp>
165  using __type_identity_t = typename __type_identity<_Tp>::type;
166 
167  namespace __detail
168  {
169  // A variadic alias template that resolves to its first argument.
170  template<typename _Tp, typename...>
171  using __first_t = _Tp;
172 
173  // These are deliberately not defined.
174  template<typename... _Bn>
175  auto __or_fn(int) -> __first_t<false_type,
176  __enable_if_t<!bool(_Bn::value)>...>;
177 
178  template<typename... _Bn>
179  auto __or_fn(...) -> true_type;
180 
181  template<typename... _Bn>
182  auto __and_fn(int) -> __first_t<true_type,
183  __enable_if_t<bool(_Bn::value)>...>;
184 
185  template<typename... _Bn>
186  auto __and_fn(...) -> false_type;
187  } // namespace detail
188 
189  // Like C++17 std::dis/conjunction, but usable in C++11 and resolves
190  // to either true_type or false_type which allows for a more efficient
191  // implementation that avoids recursive class template instantiation.
192  template<typename... _Bn>
193  struct __or_
194  : decltype(__detail::__or_fn<_Bn...>(0))
195  { };
196 
197  template<typename... _Bn>
198  struct __and_
199  : decltype(__detail::__and_fn<_Bn...>(0))
200  { };
201 
202  template<typename _Pp>
203  struct __not_
204  : __bool_constant<!bool(_Pp::value)>
205  { };
206  /// @endcond
207 
208 #ifdef __cpp_lib_logical_traits // C++ >= 17
209 
210  /// @cond undocumented
211  template<typename... _Bn>
212  inline constexpr bool __or_v = __or_<_Bn...>::value;
213  template<typename... _Bn>
214  inline constexpr bool __and_v = __and_<_Bn...>::value;
215 
216  namespace __detail
217  {
218  template<typename /* = void */, typename _B1, typename... _Bn>
219  struct __disjunction_impl
220  { using type = _B1; };
221 
222  template<typename _B1, typename _B2, typename... _Bn>
223  struct __disjunction_impl<__enable_if_t<!bool(_B1::value)>, _B1, _B2, _Bn...>
224  { using type = typename __disjunction_impl<void, _B2, _Bn...>::type; };
225 
226  template<typename /* = void */, typename _B1, typename... _Bn>
227  struct __conjunction_impl
228  { using type = _B1; };
229 
230  template<typename _B1, typename _B2, typename... _Bn>
231  struct __conjunction_impl<__enable_if_t<bool(_B1::value)>, _B1, _B2, _Bn...>
232  { using type = typename __conjunction_impl<void, _B2, _Bn...>::type; };
233  } // namespace __detail
234  /// @endcond
235 
236  template<typename... _Bn>
237  struct conjunction
238  : __detail::__conjunction_impl<void, _Bn...>::type
239  { };
240 
241  template<>
242  struct conjunction<>
243  : true_type
244  { };
245 
246  template<typename... _Bn>
247  struct disjunction
248  : __detail::__disjunction_impl<void, _Bn...>::type
249  { };
250 
251  template<>
252  struct disjunction<>
253  : false_type
254  { };
255 
256  template<typename _Pp>
257  struct negation
258  : __not_<_Pp>::type
259  { };
260 
261  /** @ingroup variable_templates
262  * @{
263  */
264  template<typename... _Bn>
265  inline constexpr bool conjunction_v = conjunction<_Bn...>::value;
266 
267  template<typename... _Bn>
268  inline constexpr bool disjunction_v = disjunction<_Bn...>::value;
269 
270  template<typename _Pp>
271  inline constexpr bool negation_v = negation<_Pp>::value;
272  /// @}
273 
274 #endif // __cpp_lib_logical_traits
275 
276  // Forward declarations
277  template<typename>
278  struct is_reference;
279  template<typename>
280  struct is_function;
281  template<typename>
282  struct is_void;
283  template<typename>
284  struct remove_cv;
285  template<typename>
286  struct is_const;
287 
288  /// @cond undocumented
289  template<typename>
290  struct __is_array_unknown_bounds;
291 
292  // Helper functions that return false_type for incomplete classes,
293  // incomplete unions and arrays of known bound from those.
294 
295  template <typename _Tp, size_t = sizeof(_Tp)>
296  constexpr true_type __is_complete_or_unbounded(__type_identity<_Tp>)
297  { return {}; }
298 
299  template <typename _TypeIdentity,
300  typename _NestedType = typename _TypeIdentity::type>
301  constexpr typename __or_<
302  is_reference<_NestedType>,
303  is_function<_NestedType>,
304  is_void<_NestedType>,
305  __is_array_unknown_bounds<_NestedType>
306  >::type __is_complete_or_unbounded(_TypeIdentity)
307  { return {}; }
308 
309  // __remove_cv_t (std::remove_cv_t for C++11).
310  template<typename _Tp>
311  using __remove_cv_t = typename remove_cv<_Tp>::type;
312  /// @endcond
313 
314  // Primary type categories.
315 
316  /// is_void
317  template<typename _Tp>
318  struct is_void
319  : public false_type { };
320 
321  template<>
322  struct is_void<void>
323  : public true_type { };
324 
325  template<>
326  struct is_void<const void>
327  : public true_type { };
328 
329  template<>
330  struct is_void<volatile void>
331  : public true_type { };
332 
333  template<>
334  struct is_void<const volatile void>
335  : public true_type { };
336 
337  /// @cond undocumented
338  template<typename>
339  struct __is_integral_helper
340  : public false_type { };
341 
342  template<>
343  struct __is_integral_helper<bool>
344  : public true_type { };
345 
346  template<>
347  struct __is_integral_helper<char>
348  : public true_type { };
349 
350  template<>
351  struct __is_integral_helper<signed char>
352  : public true_type { };
353 
354  template<>
355  struct __is_integral_helper<unsigned char>
356  : public true_type { };
357 
358  // We want is_integral<wchar_t> to be true (and make_signed/unsigned to work)
359  // even when libc doesn't provide working <wchar.h> and related functions,
360  // so don't check _GLIBCXX_USE_WCHAR_T here.
361  template<>
362  struct __is_integral_helper<wchar_t>
363  : public true_type { };
364 
365 #ifdef _GLIBCXX_USE_CHAR8_T
366  template<>
367  struct __is_integral_helper<char8_t>
368  : public true_type { };
369 #endif
370 
371  template<>
372  struct __is_integral_helper<char16_t>
373  : public true_type { };
374 
375  template<>
376  struct __is_integral_helper<char32_t>
377  : public true_type { };
378 
379  template<>
380  struct __is_integral_helper<short>
381  : public true_type { };
382 
383  template<>
384  struct __is_integral_helper<unsigned short>
385  : public true_type { };
386 
387  template<>
388  struct __is_integral_helper<int>
389  : public true_type { };
390 
391  template<>
392  struct __is_integral_helper<unsigned int>
393  : public true_type { };
394 
395  template<>
396  struct __is_integral_helper<long>
397  : public true_type { };
398 
399  template<>
400  struct __is_integral_helper<unsigned long>
401  : public true_type { };
402 
403  template<>
404  struct __is_integral_helper<long long>
405  : public true_type { };
406 
407  template<>
408  struct __is_integral_helper<unsigned long long>
409  : public true_type { };
410 
411  // Conditionalizing on __STRICT_ANSI__ here will break any port that
412  // uses one of these types for size_t.
413 #if defined(__GLIBCXX_TYPE_INT_N_0)
414  __extension__
415  template<>
416  struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_0>
417  : public true_type { };
418 
419  __extension__
420  template<>
421  struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_0>
422  : public true_type { };
423 #endif
424 #if defined(__GLIBCXX_TYPE_INT_N_1)
425  __extension__
426  template<>
427  struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_1>
428  : public true_type { };
429 
430  __extension__
431  template<>
432  struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_1>
433  : public true_type { };
434 #endif
435 #if defined(__GLIBCXX_TYPE_INT_N_2)
436  __extension__
437  template<>
438  struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_2>
439  : public true_type { };
440 
441  __extension__
442  template<>
443  struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_2>
444  : public true_type { };
445 #endif
446 #if defined(__GLIBCXX_TYPE_INT_N_3)
447  __extension__
448  template<>
449  struct __is_integral_helper<__GLIBCXX_TYPE_INT_N_3>
450  : public true_type { };
451 
452  __extension__
453  template<>
454  struct __is_integral_helper<unsigned __GLIBCXX_TYPE_INT_N_3>
455  : public true_type { };
456 #endif
457  /// @endcond
458 
459  /// is_integral
460  template<typename _Tp>
461  struct is_integral
462  : public __is_integral_helper<__remove_cv_t<_Tp>>::type
463  { };
464 
465  /// @cond undocumented
466  template<typename>
467  struct __is_floating_point_helper
468  : public false_type { };
469 
470  template<>
471  struct __is_floating_point_helper<float>
472  : public true_type { };
473 
474  template<>
475  struct __is_floating_point_helper<double>
476  : public true_type { };
477 
478  template<>
479  struct __is_floating_point_helper<long double>
480  : public true_type { };
481 
482 #ifdef __STDCPP_FLOAT16_T__
483  template<>
484  struct __is_floating_point_helper<_Float16>
485  : public true_type { };
486 #endif
487 
488 #ifdef __STDCPP_FLOAT32_T__
489  template<>
490  struct __is_floating_point_helper<_Float32>
491  : public true_type { };
492 #endif
493 
494 #ifdef __STDCPP_FLOAT64_T__
495  template<>
496  struct __is_floating_point_helper<_Float64>
497  : public true_type { };
498 #endif
499 
500 #ifdef __STDCPP_FLOAT128_T__
501  template<>
502  struct __is_floating_point_helper<_Float128>
503  : public true_type { };
504 #endif
505 
506 #ifdef __STDCPP_BFLOAT16_T__
507  template<>
508  struct __is_floating_point_helper<__gnu_cxx::__bfloat16_t>
509  : public true_type { };
510 #endif
511 
512 #if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128)
513  template<>
514  struct __is_floating_point_helper<__float128>
515  : public true_type { };
516 #endif
517  /// @endcond
518 
519  /// is_floating_point
520  template<typename _Tp>
521  struct is_floating_point
522  : public __is_floating_point_helper<__remove_cv_t<_Tp>>::type
523  { };
524 
525  /// is_array
526 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_array)
527  template<typename _Tp>
528  struct is_array
529  : public __bool_constant<__is_array(_Tp)>
530  { };
531 #else
532  template<typename>
533  struct is_array
534  : public false_type { };
535 
536  template<typename _Tp, std::size_t _Size>
537  struct is_array<_Tp[_Size]>
538  : public true_type { };
539 
540  template<typename _Tp>
541  struct is_array<_Tp[]>
542  : public true_type { };
543 #endif
544 
545  template<typename>
546  struct __is_pointer_helper
547  : public false_type { };
548 
549  template<typename _Tp>
550  struct __is_pointer_helper<_Tp*>
551  : public true_type { };
552 
553  /// is_pointer
554  template<typename _Tp>
555  struct is_pointer
556  : public __is_pointer_helper<__remove_cv_t<_Tp>>::type
557  { };
558 
559  /// is_lvalue_reference
560  template<typename>
561  struct is_lvalue_reference
562  : public false_type { };
563 
564  template<typename _Tp>
565  struct is_lvalue_reference<_Tp&>
566  : public true_type { };
567 
568  /// is_rvalue_reference
569  template<typename>
570  struct is_rvalue_reference
571  : public false_type { };
572 
573  template<typename _Tp>
574  struct is_rvalue_reference<_Tp&&>
575  : public true_type { };
576 
577  /// is_member_object_pointer
578 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_member_object_pointer)
579  template<typename _Tp>
580  struct is_member_object_pointer
581  : public __bool_constant<__is_member_object_pointer(_Tp)>
582  { };
583 #else
584  template<typename>
585  struct __is_member_object_pointer_helper
586  : public false_type { };
587 
588  template<typename _Tp, typename _Cp>
589  struct __is_member_object_pointer_helper<_Tp _Cp::*>
590  : public __not_<is_function<_Tp>>::type { };
591 
592 
593  template<typename _Tp>
594  struct is_member_object_pointer
595  : public __is_member_object_pointer_helper<__remove_cv_t<_Tp>>::type
596  { };
597 #endif
598 
599 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_member_function_pointer)
600  /// is_member_function_pointer
601  template<typename _Tp>
602  struct is_member_function_pointer
603  : public __bool_constant<__is_member_function_pointer(_Tp)>
604  { };
605 #else
606  template<typename>
607  struct __is_member_function_pointer_helper
608  : public false_type { };
609 
610  template<typename _Tp, typename _Cp>
611  struct __is_member_function_pointer_helper<_Tp _Cp::*>
612  : public is_function<_Tp>::type { };
613 
614  /// is_member_function_pointer
615  template<typename _Tp>
616  struct is_member_function_pointer
617  : public __is_member_function_pointer_helper<__remove_cv_t<_Tp>>::type
618  { };
619 #endif
620 
621  /// is_enum
622  template<typename _Tp>
623  struct is_enum
624  : public __bool_constant<__is_enum(_Tp)>
625  { };
626 
627  /// is_union
628  template<typename _Tp>
629  struct is_union
630  : public __bool_constant<__is_union(_Tp)>
631  { };
632 
633  /// is_class
634  template<typename _Tp>
635  struct is_class
636  : public __bool_constant<__is_class(_Tp)>
637  { };
638 
639  /// is_function
640 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_function)
641  template<typename _Tp>
642  struct is_function
643  : public __bool_constant<__is_function(_Tp)>
644  { };
645 #else
646  template<typename _Tp>
647  struct is_function
648  : public __bool_constant<!is_const<const _Tp>::value> { };
649 
650  template<typename _Tp>
651  struct is_function<_Tp&>
652  : public false_type { };
653 
654  template<typename _Tp>
655  struct is_function<_Tp&&>
656  : public false_type { };
657 #endif
658 
659 #ifdef __cpp_lib_is_null_pointer // C++ >= 11
660  /// is_null_pointer (LWG 2247).
661  template<typename _Tp>
662  struct is_null_pointer
663  : public false_type { };
664 
665  template<>
666  struct is_null_pointer<std::nullptr_t>
667  : public true_type { };
668 
669  template<>
670  struct is_null_pointer<const std::nullptr_t>
671  : public true_type { };
672 
673  template<>
674  struct is_null_pointer<volatile std::nullptr_t>
675  : public true_type { };
676 
677  template<>
678  struct is_null_pointer<const volatile std::nullptr_t>
679  : public true_type { };
680 
681  /// __is_nullptr_t (deprecated extension).
682  /// @deprecated Non-standard. Use `is_null_pointer` instead.
683  template<typename _Tp>
684  struct __is_nullptr_t
685  : public is_null_pointer<_Tp>
686  { } _GLIBCXX_DEPRECATED_SUGGEST("std::is_null_pointer");
687 #endif // __cpp_lib_is_null_pointer
688 
689  // Composite type categories.
690 
691  /// is_reference
692 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_reference)
693  template<typename _Tp>
694  struct is_reference
695  : public __bool_constant<__is_reference(_Tp)>
696  { };
697 #else
698  template<typename _Tp>
699  struct is_reference
700  : public false_type
701  { };
702 
703  template<typename _Tp>
704  struct is_reference<_Tp&>
705  : public true_type
706  { };
707 
708  template<typename _Tp>
709  struct is_reference<_Tp&&>
710  : public true_type
711  { };
712 #endif
713 
714  /// is_arithmetic
715  template<typename _Tp>
716  struct is_arithmetic
717  : public __or_<is_integral<_Tp>, is_floating_point<_Tp>>::type
718  { };
719 
720  /// is_fundamental
721  template<typename _Tp>
722  struct is_fundamental
723  : public __or_<is_arithmetic<_Tp>, is_void<_Tp>,
724  is_null_pointer<_Tp>>::type
725  { };
726 
727  /// is_object
728 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_object)
729  template<typename _Tp>
730  struct is_object
731  : public __bool_constant<__is_object(_Tp)>
732  { };
733 #else
734  template<typename _Tp>
735  struct is_object
736  : public __not_<__or_<is_function<_Tp>, is_reference<_Tp>,
737  is_void<_Tp>>>::type
738  { };
739 #endif
740 
741  template<typename>
742  struct is_member_pointer;
743 
744  /// is_scalar
745  template<typename _Tp>
746  struct is_scalar
747  : public __or_<is_arithmetic<_Tp>, is_enum<_Tp>, is_pointer<_Tp>,
748  is_member_pointer<_Tp>, is_null_pointer<_Tp>>::type
749  { };
750 
751  /// is_compound
752  template<typename _Tp>
753  struct is_compound
754  : public __bool_constant<!is_fundamental<_Tp>::value> { };
755 
756  /// is_member_pointer
757 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_member_pointer)
758  template<typename _Tp>
759  struct is_member_pointer
760  : public __bool_constant<__is_member_pointer(_Tp)>
761  { };
762 #else
763  /// @cond undocumented
764  template<typename _Tp>
765  struct __is_member_pointer_helper
766  : public false_type { };
767 
768  template<typename _Tp, typename _Cp>
769  struct __is_member_pointer_helper<_Tp _Cp::*>
770  : public true_type { };
771  /// @endcond
772 
773  template<typename _Tp>
774  struct is_member_pointer
775  : public __is_member_pointer_helper<__remove_cv_t<_Tp>>::type
776  { };
777 #endif
778 
779  template<typename, typename>
780  struct is_same;
781 
782  /// @cond undocumented
783  template<typename _Tp, typename... _Types>
784  using __is_one_of = __or_<is_same<_Tp, _Types>...>;
785 
786  // Check if a type is one of the signed integer types.
787  __extension__
788  template<typename _Tp>
789  using __is_signed_integer = __is_one_of<__remove_cv_t<_Tp>,
790  signed char, signed short, signed int, signed long,
791  signed long long
792 #if defined(__GLIBCXX_TYPE_INT_N_0)
793  , signed __GLIBCXX_TYPE_INT_N_0
794 #endif
795 #if defined(__GLIBCXX_TYPE_INT_N_1)
796  , signed __GLIBCXX_TYPE_INT_N_1
797 #endif
798 #if defined(__GLIBCXX_TYPE_INT_N_2)
799  , signed __GLIBCXX_TYPE_INT_N_2
800 #endif
801 #if defined(__GLIBCXX_TYPE_INT_N_3)
802  , signed __GLIBCXX_TYPE_INT_N_3
803 #endif
804  >;
805 
806  // Check if a type is one of the unsigned integer types.
807  __extension__
808  template<typename _Tp>
809  using __is_unsigned_integer = __is_one_of<__remove_cv_t<_Tp>,
810  unsigned char, unsigned short, unsigned int, unsigned long,
811  unsigned long long
812 #if defined(__GLIBCXX_TYPE_INT_N_0)
813  , unsigned __GLIBCXX_TYPE_INT_N_0
814 #endif
815 #if defined(__GLIBCXX_TYPE_INT_N_1)
816  , unsigned __GLIBCXX_TYPE_INT_N_1
817 #endif
818 #if defined(__GLIBCXX_TYPE_INT_N_2)
819  , unsigned __GLIBCXX_TYPE_INT_N_2
820 #endif
821 #if defined(__GLIBCXX_TYPE_INT_N_3)
822  , unsigned __GLIBCXX_TYPE_INT_N_3
823 #endif
824  >;
825 
826  // Check if a type is one of the signed or unsigned integer types.
827  template<typename _Tp>
828  using __is_standard_integer
829  = __or_<__is_signed_integer<_Tp>, __is_unsigned_integer<_Tp>>;
830 
831  // __void_t (std::void_t for C++11)
832  template<typename...> using __void_t = void;
833  /// @endcond
834 
835  // Type properties.
836 
837  /// is_const
838  template<typename>
839  struct is_const
840  : public false_type { };
841 
842  template<typename _Tp>
843  struct is_const<_Tp const>
844  : public true_type { };
845 
846  /// is_volatile
847  template<typename>
848  struct is_volatile
849  : public false_type { };
850 
851  template<typename _Tp>
852  struct is_volatile<_Tp volatile>
853  : public true_type { };
854 
855  /// is_trivial
856  template<typename _Tp>
857  struct is_trivial
858  : public __bool_constant<__is_trivial(_Tp)>
859  {
860  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
861  "template argument must be a complete class or an unbounded array");
862  };
863 
864  /// is_trivially_copyable
865  template<typename _Tp>
866  struct is_trivially_copyable
867  : public __bool_constant<__is_trivially_copyable(_Tp)>
868  {
869  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
870  "template argument must be a complete class or an unbounded array");
871  };
872 
873  /// is_standard_layout
874  template<typename _Tp>
875  struct is_standard_layout
876  : public __bool_constant<__is_standard_layout(_Tp)>
877  {
878  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
879  "template argument must be a complete class or an unbounded array");
880  };
881 
882  /** is_pod
883  * @deprecated Deprecated in C++20.
884  * Use `is_standard_layout && is_trivial` instead.
885  */
886  // Could use is_standard_layout && is_trivial instead of the builtin.
887  template<typename _Tp>
888  struct
889  _GLIBCXX20_DEPRECATED_SUGGEST("is_standard_layout && is_trivial")
890  is_pod
891  : public __bool_constant<__is_pod(_Tp)>
892  {
893  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
894  "template argument must be a complete class or an unbounded array");
895  };
896 
897  /** is_literal_type
898  * @deprecated Deprecated in C++17, removed in C++20.
899  * The idea of a literal type isn't useful.
900  */
901  template<typename _Tp>
902  struct
903  _GLIBCXX17_DEPRECATED
904  is_literal_type
905  : public __bool_constant<__is_literal_type(_Tp)>
906  {
907  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
908  "template argument must be a complete class or an unbounded array");
909  };
910 
911  /// is_empty
912  template<typename _Tp>
913  struct is_empty
914  : public __bool_constant<__is_empty(_Tp)>
915  { };
916 
917  /// is_polymorphic
918  template<typename _Tp>
919  struct is_polymorphic
920  : public __bool_constant<__is_polymorphic(_Tp)>
921  { };
922 
923 #ifdef __cpp_lib_is_final // C++ >= 14
924  /// is_final
925  /// @since C++14
926  template<typename _Tp>
927  struct is_final
928  : public __bool_constant<__is_final(_Tp)>
929  { };
930 #endif
931 
932  /// is_abstract
933  template<typename _Tp>
934  struct is_abstract
935  : public __bool_constant<__is_abstract(_Tp)>
936  { };
937 
938  /// @cond undocumented
939  template<typename _Tp,
940  bool = is_arithmetic<_Tp>::value>
941  struct __is_signed_helper
942  : public false_type { };
943 
944  template<typename _Tp>
945  struct __is_signed_helper<_Tp, true>
946  : public __bool_constant<_Tp(-1) < _Tp(0)>
947  { };
948  /// @endcond
949 
950  /// is_signed
951  template<typename _Tp>
952  struct is_signed
953  : public __is_signed_helper<_Tp>::type
954  { };
955 
956  /// is_unsigned
957  template<typename _Tp>
958  struct is_unsigned
959  : public __and_<is_arithmetic<_Tp>, __not_<is_signed<_Tp>>>::type
960  { };
961 
962  /// @cond undocumented
963  template<typename _Tp, typename _Up = _Tp&&>
964  _Up
965  __declval(int);
966 
967  template<typename _Tp>
968  _Tp
969  __declval(long);
970  /// @endcond
971 
972  template<typename _Tp>
973  auto declval() noexcept -> decltype(__declval<_Tp>(0));
974 
975  template<typename>
976  struct remove_all_extents;
977 
978  /// @cond undocumented
979  template<typename _Tp>
980  struct __is_array_known_bounds
981  : public false_type
982  { };
983 
984  template<typename _Tp, size_t _Size>
985  struct __is_array_known_bounds<_Tp[_Size]>
986  : public true_type
987  { };
988 
989  template<typename _Tp>
990  struct __is_array_unknown_bounds
991  : public false_type
992  { };
993 
994  template<typename _Tp>
995  struct __is_array_unknown_bounds<_Tp[]>
996  : public true_type
997  { };
998 
999  // Destructible and constructible type properties.
1000 
1001  // In N3290 is_destructible does not say anything about function
1002  // types and abstract types, see LWG 2049. This implementation
1003  // describes function types as non-destructible and all complete
1004  // object types as destructible, iff the explicit destructor
1005  // call expression is wellformed.
1006  struct __do_is_destructible_impl
1007  {
1008  template<typename _Tp, typename = decltype(declval<_Tp&>().~_Tp())>
1009  static true_type __test(int);
1010 
1011  template<typename>
1012  static false_type __test(...);
1013  };
1014 
1015  template<typename _Tp>
1016  struct __is_destructible_impl
1017  : public __do_is_destructible_impl
1018  {
1019  using type = decltype(__test<_Tp>(0));
1020  };
1021 
1022  template<typename _Tp,
1023  bool = __or_<is_void<_Tp>,
1024  __is_array_unknown_bounds<_Tp>,
1025  is_function<_Tp>>::value,
1026  bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
1027  struct __is_destructible_safe;
1028 
1029  template<typename _Tp>
1030  struct __is_destructible_safe<_Tp, false, false>
1031  : public __is_destructible_impl<typename
1032  remove_all_extents<_Tp>::type>::type
1033  { };
1034 
1035  template<typename _Tp>
1036  struct __is_destructible_safe<_Tp, true, false>
1037  : public false_type { };
1038 
1039  template<typename _Tp>
1040  struct __is_destructible_safe<_Tp, false, true>
1041  : public true_type { };
1042  /// @endcond
1043 
1044  /// is_destructible
1045  template<typename _Tp>
1046  struct is_destructible
1047  : public __is_destructible_safe<_Tp>::type
1048  {
1049  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1050  "template argument must be a complete class or an unbounded array");
1051  };
1052 
1053  /// @cond undocumented
1054 
1055  // is_nothrow_destructible requires that is_destructible is
1056  // satisfied as well. We realize that by mimicing the
1057  // implementation of is_destructible but refer to noexcept(expr)
1058  // instead of decltype(expr).
1059  struct __do_is_nt_destructible_impl
1060  {
1061  template<typename _Tp>
1062  static __bool_constant<noexcept(declval<_Tp&>().~_Tp())>
1063  __test(int);
1064 
1065  template<typename>
1066  static false_type __test(...);
1067  };
1068 
1069  template<typename _Tp>
1070  struct __is_nt_destructible_impl
1071  : public __do_is_nt_destructible_impl
1072  {
1073  using type = decltype(__test<_Tp>(0));
1074  };
1075 
1076  template<typename _Tp,
1077  bool = __or_<is_void<_Tp>,
1078  __is_array_unknown_bounds<_Tp>,
1079  is_function<_Tp>>::value,
1080  bool = __or_<is_reference<_Tp>, is_scalar<_Tp>>::value>
1081  struct __is_nt_destructible_safe;
1082 
1083  template<typename _Tp>
1084  struct __is_nt_destructible_safe<_Tp, false, false>
1085  : public __is_nt_destructible_impl<typename
1086  remove_all_extents<_Tp>::type>::type
1087  { };
1088 
1089  template<typename _Tp>
1090  struct __is_nt_destructible_safe<_Tp, true, false>
1091  : public false_type { };
1092 
1093  template<typename _Tp>
1094  struct __is_nt_destructible_safe<_Tp, false, true>
1095  : public true_type { };
1096  /// @endcond
1097 
1098  /// is_nothrow_destructible
1099  template<typename _Tp>
1100  struct is_nothrow_destructible
1101  : public __is_nt_destructible_safe<_Tp>::type
1102  {
1103  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1104  "template argument must be a complete class or an unbounded array");
1105  };
1106 
1107  /// @cond undocumented
1108  template<typename _Tp, typename... _Args>
1109  using __is_constructible_impl
1110  = __bool_constant<__is_constructible(_Tp, _Args...)>;
1111  /// @endcond
1112 
1113  /// is_constructible
1114  template<typename _Tp, typename... _Args>
1115  struct is_constructible
1116  : public __is_constructible_impl<_Tp, _Args...>
1117  {
1118  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1119  "template argument must be a complete class or an unbounded array");
1120  };
1121 
1122  /// is_default_constructible
1123  template<typename _Tp>
1124  struct is_default_constructible
1125  : public __is_constructible_impl<_Tp>
1126  {
1127  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1128  "template argument must be a complete class or an unbounded array");
1129  };
1130 
1131  /// @cond undocumented
1132  template<typename _Tp, typename = void>
1133  struct __add_lvalue_reference_helper
1134  { using type = _Tp; };
1135 
1136  template<typename _Tp>
1137  struct __add_lvalue_reference_helper<_Tp, __void_t<_Tp&>>
1138  { using type = _Tp&; };
1139 
1140  template<typename _Tp>
1141  using __add_lval_ref_t = typename __add_lvalue_reference_helper<_Tp>::type;
1142  /// @endcond
1143 
1144  /// is_copy_constructible
1145  template<typename _Tp>
1146  struct is_copy_constructible
1147  : public __is_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
1148  {
1149  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1150  "template argument must be a complete class or an unbounded array");
1151  };
1152 
1153  /// @cond undocumented
1154  template<typename _Tp, typename = void>
1155  struct __add_rvalue_reference_helper
1156  { using type = _Tp; };
1157 
1158  template<typename _Tp>
1159  struct __add_rvalue_reference_helper<_Tp, __void_t<_Tp&&>>
1160  { using type = _Tp&&; };
1161 
1162  template<typename _Tp>
1163  using __add_rval_ref_t = typename __add_rvalue_reference_helper<_Tp>::type;
1164  /// @endcond
1165 
1166  /// is_move_constructible
1167  template<typename _Tp>
1168  struct is_move_constructible
1169  : public __is_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
1170  {
1171  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1172  "template argument must be a complete class or an unbounded array");
1173  };
1174 
1175  /// @cond undocumented
1176  template<typename _Tp, typename... _Args>
1177  using __is_nothrow_constructible_impl
1178  = __bool_constant<__is_nothrow_constructible(_Tp, _Args...)>;
1179  /// @endcond
1180 
1181  /// is_nothrow_constructible
1182  template<typename _Tp, typename... _Args>
1183  struct is_nothrow_constructible
1184  : public __is_nothrow_constructible_impl<_Tp, _Args...>
1185  {
1186  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1187  "template argument must be a complete class or an unbounded array");
1188  };
1189 
1190  /// is_nothrow_default_constructible
1191  template<typename _Tp>
1192  struct is_nothrow_default_constructible
1193  : public __is_nothrow_constructible_impl<_Tp>
1194  {
1195  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1196  "template argument must be a complete class or an unbounded array");
1197  };
1198 
1199  /// is_nothrow_copy_constructible
1200  template<typename _Tp>
1201  struct is_nothrow_copy_constructible
1202  : public __is_nothrow_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
1203  {
1204  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1205  "template argument must be a complete class or an unbounded array");
1206  };
1207 
1208  /// is_nothrow_move_constructible
1209  template<typename _Tp>
1210  struct is_nothrow_move_constructible
1211  : public __is_nothrow_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
1212  {
1213  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1214  "template argument must be a complete class or an unbounded array");
1215  };
1216 
1217  /// @cond undocumented
1218  template<typename _Tp, typename _Up>
1219  using __is_assignable_impl = __bool_constant<__is_assignable(_Tp, _Up)>;
1220  /// @endcond
1221 
1222  /// is_assignable
1223  template<typename _Tp, typename _Up>
1224  struct is_assignable
1225  : public __is_assignable_impl<_Tp, _Up>
1226  {
1227  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1228  "template argument must be a complete class or an unbounded array");
1229  };
1230 
1231  /// is_copy_assignable
1232  template<typename _Tp>
1233  struct is_copy_assignable
1234  : public __is_assignable_impl<__add_lval_ref_t<_Tp>,
1235  __add_lval_ref_t<const _Tp>>
1236  {
1237  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1238  "template argument must be a complete class or an unbounded array");
1239  };
1240 
1241  /// is_move_assignable
1242  template<typename _Tp>
1243  struct is_move_assignable
1244  : public __is_assignable_impl<__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>>
1245  {
1246  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1247  "template argument must be a complete class or an unbounded array");
1248  };
1249 
1250  /// @cond undocumented
1251  template<typename _Tp, typename _Up>
1252  using __is_nothrow_assignable_impl
1253  = __bool_constant<__is_nothrow_assignable(_Tp, _Up)>;
1254  /// @endcond
1255 
1256  /// is_nothrow_assignable
1257  template<typename _Tp, typename _Up>
1258  struct is_nothrow_assignable
1259  : public __is_nothrow_assignable_impl<_Tp, _Up>
1260  {
1261  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1262  "template argument must be a complete class or an unbounded array");
1263  };
1264 
1265  /// is_nothrow_copy_assignable
1266  template<typename _Tp>
1267  struct is_nothrow_copy_assignable
1268  : public __is_nothrow_assignable_impl<__add_lval_ref_t<_Tp>,
1269  __add_lval_ref_t<const _Tp>>
1270  {
1271  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1272  "template argument must be a complete class or an unbounded array");
1273  };
1274 
1275  /// is_nothrow_move_assignable
1276  template<typename _Tp>
1277  struct is_nothrow_move_assignable
1278  : public __is_nothrow_assignable_impl<__add_lval_ref_t<_Tp>,
1279  __add_rval_ref_t<_Tp>>
1280  {
1281  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1282  "template argument must be a complete class or an unbounded array");
1283  };
1284 
1285  /// @cond undocumented
1286  template<typename _Tp, typename... _Args>
1287  using __is_trivially_constructible_impl
1288  = __bool_constant<__is_trivially_constructible(_Tp, _Args...)>;
1289  /// @endcond
1290 
1291  /// is_trivially_constructible
1292  template<typename _Tp, typename... _Args>
1293  struct is_trivially_constructible
1294  : public __is_trivially_constructible_impl<_Tp, _Args...>
1295  {
1296  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1297  "template argument must be a complete class or an unbounded array");
1298  };
1299 
1300  /// is_trivially_default_constructible
1301  template<typename _Tp>
1302  struct is_trivially_default_constructible
1303  : public __is_trivially_constructible_impl<_Tp>
1304  {
1305  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1306  "template argument must be a complete class or an unbounded array");
1307  };
1308 
1309 #if __cpp_variable_templates && __cpp_concepts
1310  template<typename _Tp>
1311  constexpr bool __is_implicitly_default_constructible_v
1312  = requires (void(&__f)(_Tp)) { __f({}); };
1313 
1314  template<typename _Tp>
1315  struct __is_implicitly_default_constructible
1316  : __bool_constant<__is_implicitly_default_constructible_v<_Tp>>
1317  { };
1318 #else
1319  struct __do_is_implicitly_default_constructible_impl
1320  {
1321  template <typename _Tp>
1322  static void __helper(const _Tp&);
1323 
1324  template <typename _Tp>
1325  static true_type __test(const _Tp&,
1326  decltype(__helper<const _Tp&>({}))* = 0);
1327 
1328  static false_type __test(...);
1329  };
1330 
1331  template<typename _Tp>
1332  struct __is_implicitly_default_constructible_impl
1333  : public __do_is_implicitly_default_constructible_impl
1334  {
1335  using type = decltype(__test(declval<_Tp>()));
1336  };
1337 
1338  template<typename _Tp>
1339  struct __is_implicitly_default_constructible_safe
1340  : public __is_implicitly_default_constructible_impl<_Tp>::type
1341  { };
1342 
1343  template <typename _Tp>
1344  struct __is_implicitly_default_constructible
1345  : public __and_<__is_constructible_impl<_Tp>,
1346  __is_implicitly_default_constructible_safe<_Tp>>::type
1347  { };
1348 #endif
1349 
1350  /// is_trivially_copy_constructible
1351  template<typename _Tp>
1352  struct is_trivially_copy_constructible
1353  : public __is_trivially_constructible_impl<_Tp, __add_lval_ref_t<const _Tp>>
1354  {
1355  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1356  "template argument must be a complete class or an unbounded array");
1357  };
1358 
1359  /// is_trivially_move_constructible
1360  template<typename _Tp>
1361  struct is_trivially_move_constructible
1362  : public __is_trivially_constructible_impl<_Tp, __add_rval_ref_t<_Tp>>
1363  {
1364  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1365  "template argument must be a complete class or an unbounded array");
1366  };
1367 
1368  /// @cond undocumented
1369  template<typename _Tp, typename _Up>
1370  using __is_trivially_assignable_impl
1371  = __bool_constant<__is_trivially_assignable(_Tp, _Up)>;
1372  /// @endcond
1373 
1374  /// is_trivially_assignable
1375  template<typename _Tp, typename _Up>
1376  struct is_trivially_assignable
1377  : public __is_trivially_assignable_impl<_Tp, _Up>
1378  {
1379  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1380  "template argument must be a complete class or an unbounded array");
1381  };
1382 
1383  /// is_trivially_copy_assignable
1384  template<typename _Tp>
1385  struct is_trivially_copy_assignable
1386  : public __is_trivially_assignable_impl<__add_lval_ref_t<_Tp>,
1387  __add_lval_ref_t<const _Tp>>
1388  {
1389  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1390  "template argument must be a complete class or an unbounded array");
1391  };
1392 
1393  /// is_trivially_move_assignable
1394  template<typename _Tp>
1395  struct is_trivially_move_assignable
1396  : public __is_trivially_assignable_impl<__add_lval_ref_t<_Tp>,
1397  __add_rval_ref_t<_Tp>>
1398  {
1399  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1400  "template argument must be a complete class or an unbounded array");
1401  };
1402 
1403  /// is_trivially_destructible
1404  template<typename _Tp>
1405  struct is_trivially_destructible
1406  : public __and_<__is_destructible_safe<_Tp>,
1407  __bool_constant<__has_trivial_destructor(_Tp)>>::type
1408  {
1409  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1410  "template argument must be a complete class or an unbounded array");
1411  };
1412 
1413 
1414  /// has_virtual_destructor
1415  template<typename _Tp>
1416  struct has_virtual_destructor
1417  : public __bool_constant<__has_virtual_destructor(_Tp)>
1418  {
1419  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1420  "template argument must be a complete class or an unbounded array");
1421  };
1422 
1423 
1424  // type property queries.
1425 
1426  /// alignment_of
1427  template<typename _Tp>
1428  struct alignment_of
1429  : public integral_constant<std::size_t, alignof(_Tp)>
1430  {
1431  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
1432  "template argument must be a complete class or an unbounded array");
1433  };
1434 
1435  /// rank
1436  template<typename>
1437  struct rank
1438  : public integral_constant<std::size_t, 0> { };
1439 
1440  template<typename _Tp, std::size_t _Size>
1441  struct rank<_Tp[_Size]>
1442  : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
1443 
1444  template<typename _Tp>
1445  struct rank<_Tp[]>
1446  : public integral_constant<std::size_t, 1 + rank<_Tp>::value> { };
1447 
1448  /// extent
1449  template<typename, unsigned _Uint = 0>
1450  struct extent
1451  : public integral_constant<size_t, 0> { };
1452 
1453  template<typename _Tp, size_t _Size>
1454  struct extent<_Tp[_Size], 0>
1455  : public integral_constant<size_t, _Size> { };
1456 
1457  template<typename _Tp, unsigned _Uint, size_t _Size>
1458  struct extent<_Tp[_Size], _Uint>
1459  : public extent<_Tp, _Uint - 1>::type { };
1460 
1461  template<typename _Tp>
1462  struct extent<_Tp[], 0>
1463  : public integral_constant<size_t, 0> { };
1464 
1465  template<typename _Tp, unsigned _Uint>
1466  struct extent<_Tp[], _Uint>
1467  : public extent<_Tp, _Uint - 1>::type { };
1468 
1469 
1470  // Type relations.
1471 
1472  /// is_same
1473 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_same)
1474  template<typename _Tp, typename _Up>
1475  struct is_same
1476  : public __bool_constant<__is_same(_Tp, _Up)>
1477  { };
1478 #else
1479  template<typename _Tp, typename _Up>
1480  struct is_same
1481  : public false_type
1482  { };
1483 
1484  template<typename _Tp>
1485  struct is_same<_Tp, _Tp>
1486  : public true_type
1487  { };
1488 #endif
1489 
1490  /// is_base_of
1491  template<typename _Base, typename _Derived>
1492  struct is_base_of
1493  : public __bool_constant<__is_base_of(_Base, _Derived)>
1494  { };
1495 
1496 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_convertible)
1497  template<typename _From, typename _To>
1498  struct is_convertible
1499  : public __bool_constant<__is_convertible(_From, _To)>
1500  { };
1501 #else
1502  template<typename _From, typename _To,
1503  bool = __or_<is_void<_From>, is_function<_To>,
1504  is_array<_To>>::value>
1505  struct __is_convertible_helper
1506  {
1507  using type = typename is_void<_To>::type;
1508  };
1509 
1510 #pragma GCC diagnostic push
1511 #pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
1512  template<typename _From, typename _To>
1513  class __is_convertible_helper<_From, _To, false>
1514  {
1515  template<typename _To1>
1516  static void __test_aux(_To1) noexcept;
1517 
1518  template<typename _From1, typename _To1,
1519  typename = decltype(__test_aux<_To1>(std::declval<_From1>()))>
1520  static true_type
1521  __test(int);
1522 
1523  template<typename, typename>
1524  static false_type
1525  __test(...);
1526 
1527  public:
1528  using type = decltype(__test<_From, _To>(0));
1529  };
1530 #pragma GCC diagnostic pop
1531 
1532  /// is_convertible
1533  template<typename _From, typename _To>
1534  struct is_convertible
1535  : public __is_convertible_helper<_From, _To>::type
1536  { };
1537 #endif
1538 
1539  // helper trait for unique_ptr<T[]>, shared_ptr<T[]>, and span<T, N>
1540  template<typename _ToElementType, typename _FromElementType>
1541  using __is_array_convertible
1542  = is_convertible<_FromElementType(*)[], _ToElementType(*)[]>;
1543 
1544 #ifdef __cpp_lib_is_nothrow_convertible // C++ >= 20
1545 
1546 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_nothrow_convertible)
1547  /// is_nothrow_convertible_v
1548  template<typename _From, typename _To>
1549  inline constexpr bool is_nothrow_convertible_v
1550  = __is_nothrow_convertible(_From, _To);
1551 
1552  /// is_nothrow_convertible
1553  template<typename _From, typename _To>
1554  struct is_nothrow_convertible
1555  : public bool_constant<is_nothrow_convertible_v<_From, _To>>
1556  { };
1557 #else
1558  template<typename _From, typename _To,
1559  bool = __or_<is_void<_From>, is_function<_To>,
1560  is_array<_To>>::value>
1561  struct __is_nt_convertible_helper
1562  : is_void<_To>
1563  { };
1564 
1565 #pragma GCC diagnostic push
1566 #pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
1567  template<typename _From, typename _To>
1568  class __is_nt_convertible_helper<_From, _To, false>
1569  {
1570  template<typename _To1>
1571  static void __test_aux(_To1) noexcept;
1572 
1573  template<typename _From1, typename _To1>
1574  static
1575  __bool_constant<noexcept(__test_aux<_To1>(std::declval<_From1>()))>
1576  __test(int);
1577 
1578  template<typename, typename>
1579  static false_type
1580  __test(...);
1581 
1582  public:
1583  using type = decltype(__test<_From, _To>(0));
1584  };
1585 #pragma GCC diagnostic pop
1586 
1587  /// is_nothrow_convertible
1588  template<typename _From, typename _To>
1589  struct is_nothrow_convertible
1590  : public __is_nt_convertible_helper<_From, _To>::type
1591  { };
1592 
1593  /// is_nothrow_convertible_v
1594  template<typename _From, typename _To>
1595  inline constexpr bool is_nothrow_convertible_v
1596  = is_nothrow_convertible<_From, _To>::value;
1597 #endif
1598 #endif // __cpp_lib_is_nothrow_convertible
1599 
1600 #pragma GCC diagnostic push
1601 #pragma GCC diagnostic ignored "-Wc++14-extensions" // for variable templates
1602  template<typename _Tp, typename... _Args>
1603  struct __is_nothrow_new_constructible_impl
1604  : __bool_constant<
1605  noexcept(::new(std::declval<void*>()) _Tp(std::declval<_Args>()...))
1606  >
1607  { };
1608 
1609  template<typename _Tp, typename... _Args>
1610  _GLIBCXX17_INLINE constexpr bool __is_nothrow_new_constructible
1611  = __and_<is_constructible<_Tp, _Args...>,
1612  __is_nothrow_new_constructible_impl<_Tp, _Args...>>::value;
1613 #pragma GCC diagnostic pop
1614 
1615  // Const-volatile modifications.
1616 
1617  /// remove_const
1618  template<typename _Tp>
1619  struct remove_const
1620  { using type = _Tp; };
1621 
1622  template<typename _Tp>
1623  struct remove_const<_Tp const>
1624  { using type = _Tp; };
1625 
1626  /// remove_volatile
1627  template<typename _Tp>
1628  struct remove_volatile
1629  { using type = _Tp; };
1630 
1631  template<typename _Tp>
1632  struct remove_volatile<_Tp volatile>
1633  { using type = _Tp; };
1634 
1635  /// remove_cv
1636 #if _GLIBCXX_USE_BUILTIN_TRAIT(__remove_cv)
1637  template<typename _Tp>
1638  struct remove_cv
1639  { using type = __remove_cv(_Tp); };
1640 #else
1641  template<typename _Tp>
1642  struct remove_cv
1643  { using type = _Tp; };
1644 
1645  template<typename _Tp>
1646  struct remove_cv<const _Tp>
1647  { using type = _Tp; };
1648 
1649  template<typename _Tp>
1650  struct remove_cv<volatile _Tp>
1651  { using type = _Tp; };
1652 
1653  template<typename _Tp>
1654  struct remove_cv<const volatile _Tp>
1655  { using type = _Tp; };
1656 #endif
1657 
1658  /// add_const
1659  template<typename _Tp>
1660  struct add_const
1661  { using type = _Tp const; };
1662 
1663  /// add_volatile
1664  template<typename _Tp>
1665  struct add_volatile
1666  { using type = _Tp volatile; };
1667 
1668  /// add_cv
1669  template<typename _Tp>
1670  struct add_cv
1671  { using type = _Tp const volatile; };
1672 
1673 #ifdef __cpp_lib_transformation_trait_aliases // C++ >= 14
1674  /// Alias template for remove_const
1675  template<typename _Tp>
1676  using remove_const_t = typename remove_const<_Tp>::type;
1677 
1678  /// Alias template for remove_volatile
1679  template<typename _Tp>
1680  using remove_volatile_t = typename remove_volatile<_Tp>::type;
1681 
1682  /// Alias template for remove_cv
1683  template<typename _Tp>
1684  using remove_cv_t = typename remove_cv<_Tp>::type;
1685 
1686  /// Alias template for add_const
1687  template<typename _Tp>
1688  using add_const_t = typename add_const<_Tp>::type;
1689 
1690  /// Alias template for add_volatile
1691  template<typename _Tp>
1692  using add_volatile_t = typename add_volatile<_Tp>::type;
1693 
1694  /// Alias template for add_cv
1695  template<typename _Tp>
1696  using add_cv_t = typename add_cv<_Tp>::type;
1697 #endif
1698 
1699  // Reference transformations.
1700 
1701  /// remove_reference
1702 #if _GLIBCXX_USE_BUILTIN_TRAIT(__remove_reference)
1703  template<typename _Tp>
1704  struct remove_reference
1705  { using type = __remove_reference(_Tp); };
1706 #else
1707  template<typename _Tp>
1708  struct remove_reference
1709  { using type = _Tp; };
1710 
1711  template<typename _Tp>
1712  struct remove_reference<_Tp&>
1713  { using type = _Tp; };
1714 
1715  template<typename _Tp>
1716  struct remove_reference<_Tp&&>
1717  { using type = _Tp; };
1718 #endif
1719 
1720  /// add_lvalue_reference
1721  template<typename _Tp>
1722  struct add_lvalue_reference
1723  { using type = __add_lval_ref_t<_Tp>; };
1724 
1725  /// add_rvalue_reference
1726  template<typename _Tp>
1727  struct add_rvalue_reference
1728  { using type = __add_rval_ref_t<_Tp>; };
1729 
1730 #if __cplusplus > 201103L
1731  /// Alias template for remove_reference
1732  template<typename _Tp>
1733  using remove_reference_t = typename remove_reference<_Tp>::type;
1734 
1735  /// Alias template for add_lvalue_reference
1736  template<typename _Tp>
1737  using add_lvalue_reference_t = typename add_lvalue_reference<_Tp>::type;
1738 
1739  /// Alias template for add_rvalue_reference
1740  template<typename _Tp>
1741  using add_rvalue_reference_t = typename add_rvalue_reference<_Tp>::type;
1742 #endif
1743 
1744  // Sign modifications.
1745 
1746  /// @cond undocumented
1747 
1748  // Utility for constructing identically cv-qualified types.
1749  template<typename _Unqualified, bool _IsConst, bool _IsVol>
1750  struct __cv_selector;
1751 
1752  template<typename _Unqualified>
1753  struct __cv_selector<_Unqualified, false, false>
1754  { using __type = _Unqualified; };
1755 
1756  template<typename _Unqualified>
1757  struct __cv_selector<_Unqualified, false, true>
1758  { using __type = volatile _Unqualified; };
1759 
1760  template<typename _Unqualified>
1761  struct __cv_selector<_Unqualified, true, false>
1762  { using __type = const _Unqualified; };
1763 
1764  template<typename _Unqualified>
1765  struct __cv_selector<_Unqualified, true, true>
1766  { using __type = const volatile _Unqualified; };
1767 
1768  template<typename _Qualified, typename _Unqualified,
1769  bool _IsConst = is_const<_Qualified>::value,
1770  bool _IsVol = is_volatile<_Qualified>::value>
1771  class __match_cv_qualifiers
1772  {
1773  using __match = __cv_selector<_Unqualified, _IsConst, _IsVol>;
1774 
1775  public:
1776  using __type = typename __match::__type;
1777  };
1778 
1779  // Utility for finding the unsigned versions of signed integral types.
1780  template<typename _Tp>
1781  struct __make_unsigned
1782  { using __type = _Tp; };
1783 
1784  template<>
1785  struct __make_unsigned<char>
1786  { using __type = unsigned char; };
1787 
1788  template<>
1789  struct __make_unsigned<signed char>
1790  { using __type = unsigned char; };
1791 
1792  template<>
1793  struct __make_unsigned<short>
1794  { using __type = unsigned short; };
1795 
1796  template<>
1797  struct __make_unsigned<int>
1798  { using __type = unsigned int; };
1799 
1800  template<>
1801  struct __make_unsigned<long>
1802  { using __type = unsigned long; };
1803 
1804  template<>
1805  struct __make_unsigned<long long>
1806  { using __type = unsigned long long; };
1807 
1808 #if defined(__GLIBCXX_TYPE_INT_N_0)
1809  __extension__
1810  template<>
1811  struct __make_unsigned<__GLIBCXX_TYPE_INT_N_0>
1812  { using __type = unsigned __GLIBCXX_TYPE_INT_N_0; };
1813 #endif
1814 #if defined(__GLIBCXX_TYPE_INT_N_1)
1815  __extension__
1816  template<>
1817  struct __make_unsigned<__GLIBCXX_TYPE_INT_N_1>
1818  { using __type = unsigned __GLIBCXX_TYPE_INT_N_1; };
1819 #endif
1820 #if defined(__GLIBCXX_TYPE_INT_N_2)
1821  __extension__
1822  template<>
1823  struct __make_unsigned<__GLIBCXX_TYPE_INT_N_2>
1824  { using __type = unsigned __GLIBCXX_TYPE_INT_N_2; };
1825 #endif
1826 #if defined(__GLIBCXX_TYPE_INT_N_3)
1827  __extension__
1828  template<>
1829  struct __make_unsigned<__GLIBCXX_TYPE_INT_N_3>
1830  { using __type = unsigned __GLIBCXX_TYPE_INT_N_3; };
1831 #endif
1832 
1833  // Select between integral and enum: not possible to be both.
1834  template<typename _Tp,
1835  bool _IsInt = is_integral<_Tp>::value,
1836  bool _IsEnum = __is_enum(_Tp)>
1837  class __make_unsigned_selector;
1838 
1839  template<typename _Tp>
1840  class __make_unsigned_selector<_Tp, true, false>
1841  {
1842  using __unsigned_type
1843  = typename __make_unsigned<__remove_cv_t<_Tp>>::__type;
1844 
1845  public:
1846  using __type
1847  = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
1848  };
1849 
1850  class __make_unsigned_selector_base
1851  {
1852  protected:
1853  template<typename...> struct _List { };
1854 
1855  template<typename _Tp, typename... _Up>
1856  struct _List<_Tp, _Up...> : _List<_Up...>
1857  { static constexpr size_t __size = sizeof(_Tp); };
1858 
1859  template<size_t _Sz, typename _Tp, bool = (_Sz <= _Tp::__size)>
1860  struct __select;
1861 
1862  template<size_t _Sz, typename _Uint, typename... _UInts>
1863  struct __select<_Sz, _List<_Uint, _UInts...>, true>
1864  { using __type = _Uint; };
1865 
1866  template<size_t _Sz, typename _Uint, typename... _UInts>
1867  struct __select<_Sz, _List<_Uint, _UInts...>, false>
1868  : __select<_Sz, _List<_UInts...>>
1869  { };
1870  };
1871 
1872  // Choose unsigned integer type with the smallest rank and same size as _Tp
1873  template<typename _Tp>
1874  class __make_unsigned_selector<_Tp, false, true>
1875  : __make_unsigned_selector_base
1876  {
1877  // With -fshort-enums, an enum may be as small as a char.
1878  using _UInts = _List<unsigned char, unsigned short, unsigned int,
1879  unsigned long, unsigned long long>;
1880 
1881  using __unsigned_type = typename __select<sizeof(_Tp), _UInts>::__type;
1882 
1883  public:
1884  using __type
1885  = typename __match_cv_qualifiers<_Tp, __unsigned_type>::__type;
1886  };
1887 
1888  // wchar_t, char8_t, char16_t and char32_t are integral types but are
1889  // neither signed integer types nor unsigned integer types, so must be
1890  // transformed to the unsigned integer type with the smallest rank.
1891  // Use the partial specialization for enumeration types to do that.
1892  template<>
1893  struct __make_unsigned<wchar_t>
1894  {
1895  using __type
1896  = typename __make_unsigned_selector<wchar_t, false, true>::__type;
1897  };
1898 
1899 #ifdef _GLIBCXX_USE_CHAR8_T
1900  template<>
1901  struct __make_unsigned<char8_t>
1902  {
1903  using __type
1904  = typename __make_unsigned_selector<char8_t, false, true>::__type;
1905  };
1906 #endif
1907 
1908  template<>
1909  struct __make_unsigned<char16_t>
1910  {
1911  using __type
1912  = typename __make_unsigned_selector<char16_t, false, true>::__type;
1913  };
1914 
1915  template<>
1916  struct __make_unsigned<char32_t>
1917  {
1918  using __type
1919  = typename __make_unsigned_selector<char32_t, false, true>::__type;
1920  };
1921  /// @endcond
1922 
1923  // Given an integral/enum type, return the corresponding unsigned
1924  // integer type.
1925  // Primary template.
1926  /// make_unsigned
1927  template<typename _Tp>
1928  struct make_unsigned
1929  { using type = typename __make_unsigned_selector<_Tp>::__type; };
1930 
1931  // Integral, but don't define.
1932  template<> struct make_unsigned<bool>;
1933  template<> struct make_unsigned<bool const>;
1934  template<> struct make_unsigned<bool volatile>;
1935  template<> struct make_unsigned<bool const volatile>;
1936 
1937  /// @cond undocumented
1938 
1939  // Utility for finding the signed versions of unsigned integral types.
1940  template<typename _Tp>
1941  struct __make_signed
1942  { using __type = _Tp; };
1943 
1944  template<>
1945  struct __make_signed<char>
1946  { using __type = signed char; };
1947 
1948  template<>
1949  struct __make_signed<unsigned char>
1950  { using __type = signed char; };
1951 
1952  template<>
1953  struct __make_signed<unsigned short>
1954  { using __type = signed short; };
1955 
1956  template<>
1957  struct __make_signed<unsigned int>
1958  { using __type = signed int; };
1959 
1960  template<>
1961  struct __make_signed<unsigned long>
1962  { using __type = signed long; };
1963 
1964  template<>
1965  struct __make_signed<unsigned long long>
1966  { using __type = signed long long; };
1967 
1968 #if defined(__GLIBCXX_TYPE_INT_N_0)
1969  __extension__
1970  template<>
1971  struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_0>
1972  { using __type = __GLIBCXX_TYPE_INT_N_0; };
1973 #endif
1974 #if defined(__GLIBCXX_TYPE_INT_N_1)
1975  __extension__
1976  template<>
1977  struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_1>
1978  { using __type = __GLIBCXX_TYPE_INT_N_1; };
1979 #endif
1980 #if defined(__GLIBCXX_TYPE_INT_N_2)
1981  __extension__
1982  template<>
1983  struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_2>
1984  { using __type = __GLIBCXX_TYPE_INT_N_2; };
1985 #endif
1986 #if defined(__GLIBCXX_TYPE_INT_N_3)
1987  __extension__
1988  template<>
1989  struct __make_signed<unsigned __GLIBCXX_TYPE_INT_N_3>
1990  { using __type = __GLIBCXX_TYPE_INT_N_3; };
1991 #endif
1992 
1993  // Select between integral and enum: not possible to be both.
1994  template<typename _Tp,
1995  bool _IsInt = is_integral<_Tp>::value,
1996  bool _IsEnum = __is_enum(_Tp)>
1997  class __make_signed_selector;
1998 
1999  template<typename _Tp>
2000  class __make_signed_selector<_Tp, true, false>
2001  {
2002  using __signed_type
2003  = typename __make_signed<__remove_cv_t<_Tp>>::__type;
2004 
2005  public:
2006  using __type
2007  = typename __match_cv_qualifiers<_Tp, __signed_type>::__type;
2008  };
2009 
2010  // Choose signed integer type with the smallest rank and same size as _Tp
2011  template<typename _Tp>
2012  class __make_signed_selector<_Tp, false, true>
2013  {
2014  using __unsigned_type = typename __make_unsigned_selector<_Tp>::__type;
2015 
2016  public:
2017  using __type = typename __make_signed_selector<__unsigned_type>::__type;
2018  };
2019 
2020  // wchar_t, char16_t and char32_t are integral types but are neither
2021  // signed integer types nor unsigned integer types, so must be
2022  // transformed to the signed integer type with the smallest rank.
2023  // Use the partial specialization for enumeration types to do that.
2024  template<>
2025  struct __make_signed<wchar_t>
2026  {
2027  using __type
2028  = typename __make_signed_selector<wchar_t, false, true>::__type;
2029  };
2030 
2031 #if defined(_GLIBCXX_USE_CHAR8_T)
2032  template<>
2033  struct __make_signed<char8_t>
2034  {
2035  using __type
2036  = typename __make_signed_selector<char8_t, false, true>::__type;
2037  };
2038 #endif
2039 
2040  template<>
2041  struct __make_signed<char16_t>
2042  {
2043  using __type
2044  = typename __make_signed_selector<char16_t, false, true>::__type;
2045  };
2046 
2047  template<>
2048  struct __make_signed<char32_t>
2049  {
2050  using __type
2051  = typename __make_signed_selector<char32_t, false, true>::__type;
2052  };
2053  /// @endcond
2054 
2055  // Given an integral/enum type, return the corresponding signed
2056  // integer type.
2057  // Primary template.
2058  /// make_signed
2059  template<typename _Tp>
2060  struct make_signed
2061  { using type = typename __make_signed_selector<_Tp>::__type; };
2062 
2063  // Integral, but don't define.
2064  template<> struct make_signed<bool>;
2065  template<> struct make_signed<bool const>;
2066  template<> struct make_signed<bool volatile>;
2067  template<> struct make_signed<bool const volatile>;
2068 
2069 #if __cplusplus > 201103L
2070  /// Alias template for make_signed
2071  template<typename _Tp>
2072  using make_signed_t = typename make_signed<_Tp>::type;
2073 
2074  /// Alias template for make_unsigned
2075  template<typename _Tp>
2076  using make_unsigned_t = typename make_unsigned<_Tp>::type;
2077 #endif
2078 
2079  // Array modifications.
2080 
2081  /// remove_extent
2082  template<typename _Tp>
2083  struct remove_extent
2084  { using type = _Tp; };
2085 
2086  template<typename _Tp, std::size_t _Size>
2087  struct remove_extent<_Tp[_Size]>
2088  { using type = _Tp; };
2089 
2090  template<typename _Tp>
2091  struct remove_extent<_Tp[]>
2092  { using type = _Tp; };
2093 
2094  /// remove_all_extents
2095  template<typename _Tp>
2096  struct remove_all_extents
2097  { using type = _Tp; };
2098 
2099  template<typename _Tp, std::size_t _Size>
2100  struct remove_all_extents<_Tp[_Size]>
2101  { using type = typename remove_all_extents<_Tp>::type; };
2102 
2103  template<typename _Tp>
2104  struct remove_all_extents<_Tp[]>
2105  { using type = typename remove_all_extents<_Tp>::type; };
2106 
2107 #if __cplusplus > 201103L
2108  /// Alias template for remove_extent
2109  template<typename _Tp>
2110  using remove_extent_t = typename remove_extent<_Tp>::type;
2111 
2112  /// Alias template for remove_all_extents
2113  template<typename _Tp>
2114  using remove_all_extents_t = typename remove_all_extents<_Tp>::type;
2115 #endif
2116 
2117  // Pointer modifications.
2118 
2119  /// remove_pointer
2120 #if _GLIBCXX_USE_BUILTIN_TRAIT(__remove_pointer)
2121  template<typename _Tp>
2122  struct remove_pointer
2123  { using type = __remove_pointer(_Tp); };
2124 #else
2125  template<typename _Tp, typename>
2126  struct __remove_pointer_helper
2127  { using type = _Tp; };
2128 
2129  template<typename _Tp, typename _Up>
2130  struct __remove_pointer_helper<_Tp, _Up*>
2131  { using type = _Up; };
2132 
2133  template<typename _Tp>
2134  struct remove_pointer
2135  : public __remove_pointer_helper<_Tp, __remove_cv_t<_Tp>>
2136  { };
2137 #endif
2138 
2139  template<typename _Tp, typename = void>
2140  struct __add_pointer_helper
2141  { using type = _Tp; };
2142 
2143  template<typename _Tp>
2144  struct __add_pointer_helper<_Tp, __void_t<_Tp*>>
2145  { using type = _Tp*; };
2146 
2147  /// add_pointer
2148  template<typename _Tp>
2149  struct add_pointer
2150  : public __add_pointer_helper<_Tp>
2151  { };
2152 
2153  template<typename _Tp>
2154  struct add_pointer<_Tp&>
2155  { using type = _Tp*; };
2156 
2157  template<typename _Tp>
2158  struct add_pointer<_Tp&&>
2159  { using type = _Tp*; };
2160 
2161 #if __cplusplus > 201103L
2162  /// Alias template for remove_pointer
2163  template<typename _Tp>
2164  using remove_pointer_t = typename remove_pointer<_Tp>::type;
2165 
2166  /// Alias template for add_pointer
2167  template<typename _Tp>
2168  using add_pointer_t = typename add_pointer<_Tp>::type;
2169 #endif
2170 
2171  template<std::size_t _Len>
2172  struct __aligned_storage_msa
2173  {
2174  union __type
2175  {
2176  unsigned char __data[_Len];
2177  struct __attribute__((__aligned__)) { } __align;
2178  };
2179  };
2180 
2181  /**
2182  * @brief Alignment type.
2183  *
2184  * The value of _Align is a default-alignment which shall be the
2185  * most stringent alignment requirement for any C++ object type
2186  * whose size is no greater than _Len (3.9). The member typedef
2187  * type shall be a POD type suitable for use as uninitialized
2188  * storage for any object whose size is at most _Len and whose
2189  * alignment is a divisor of _Align.
2190  *
2191  * @deprecated Deprecated in C++23. Uses can be replaced by an
2192  * array std::byte[_Len] declared with alignas(_Align).
2193  */
2194  template<std::size_t _Len, std::size_t _Align =
2195  __alignof__(typename __aligned_storage_msa<_Len>::__type)>
2196  struct
2197  _GLIBCXX23_DEPRECATED
2198  aligned_storage
2199  {
2200  union type
2201  {
2202  unsigned char __data[_Len];
2203  struct __attribute__((__aligned__((_Align)))) { } __align;
2204  };
2205  };
2206 
2207  template <typename... _Types>
2208  struct __strictest_alignment
2209  {
2210  static const size_t _S_alignment = 0;
2211  static const size_t _S_size = 0;
2212  };
2213 
2214  template <typename _Tp, typename... _Types>
2215  struct __strictest_alignment<_Tp, _Types...>
2216  {
2217  static const size_t _S_alignment =
2218  alignof(_Tp) > __strictest_alignment<_Types...>::_S_alignment
2219  ? alignof(_Tp) : __strictest_alignment<_Types...>::_S_alignment;
2220  static const size_t _S_size =
2221  sizeof(_Tp) > __strictest_alignment<_Types...>::_S_size
2222  ? sizeof(_Tp) : __strictest_alignment<_Types...>::_S_size;
2223  };
2224 
2225 #pragma GCC diagnostic push
2226 #pragma GCC diagnostic ignored "-Wdeprecated-declarations"
2227 
2228  /**
2229  * @brief Provide aligned storage for types.
2230  *
2231  * [meta.trans.other]
2232  *
2233  * Provides aligned storage for any of the provided types of at
2234  * least size _Len.
2235  *
2236  * @see aligned_storage
2237  *
2238  * @deprecated Deprecated in C++23.
2239  */
2240  template <size_t _Len, typename... _Types>
2241  struct
2242  _GLIBCXX23_DEPRECATED
2243  aligned_union
2244  {
2245  private:
2246  static_assert(sizeof...(_Types) != 0, "At least one type is required");
2247 
2248  using __strictest = __strictest_alignment<_Types...>;
2249  static const size_t _S_len = _Len > __strictest::_S_size
2250  ? _Len : __strictest::_S_size;
2251  public:
2252  /// The value of the strictest alignment of _Types.
2253  static const size_t alignment_value = __strictest::_S_alignment;
2254  /// The storage.
2255  using type = typename aligned_storage<_S_len, alignment_value>::type;
2256  };
2257 
2258  template <size_t _Len, typename... _Types>
2259  const size_t aligned_union<_Len, _Types...>::alignment_value;
2260 #pragma GCC diagnostic pop
2261 
2262  /// @cond undocumented
2263 
2264  // Decay trait for arrays and functions, used for perfect forwarding
2265  // in make_pair, make_tuple, etc.
2266  template<typename _Up>
2267  struct __decay_selector
2268  : __conditional_t<is_const<const _Up>::value, // false for functions
2269  remove_cv<_Up>, // N.B. DR 705.
2270  add_pointer<_Up>> // function decays to pointer
2271  { };
2272 
2273  template<typename _Up, size_t _Nm>
2274  struct __decay_selector<_Up[_Nm]>
2275  { using type = _Up*; };
2276 
2277  template<typename _Up>
2278  struct __decay_selector<_Up[]>
2279  { using type = _Up*; };
2280 
2281  /// @endcond
2282 
2283  /// decay
2284  template<typename _Tp>
2285  struct decay
2286  { using type = typename __decay_selector<_Tp>::type; };
2287 
2288  template<typename _Tp>
2289  struct decay<_Tp&>
2290  { using type = typename __decay_selector<_Tp>::type; };
2291 
2292  template<typename _Tp>
2293  struct decay<_Tp&&>
2294  { using type = typename __decay_selector<_Tp>::type; };
2295 
2296  /// @cond undocumented
2297 
2298  // Helper which adds a reference to a type when given a reference_wrapper
2299  template<typename _Tp>
2300  struct __strip_reference_wrapper
2301  {
2302  using __type = _Tp;
2303  };
2304 
2305  template<typename _Tp>
2306  struct __strip_reference_wrapper<reference_wrapper<_Tp> >
2307  {
2308  using __type = _Tp&;
2309  };
2310 
2311  // __decay_t (std::decay_t for C++11).
2312  template<typename _Tp>
2313  using __decay_t = typename decay<_Tp>::type;
2314 
2315  template<typename _Tp>
2316  using __decay_and_strip = __strip_reference_wrapper<__decay_t<_Tp>>;
2317  /// @endcond
2318 
2319  /// @cond undocumented
2320 
2321  // Helper for SFINAE constraints
2322  template<typename... _Cond>
2323  using _Require = __enable_if_t<__and_<_Cond...>::value>;
2324 
2325  // __remove_cvref_t (std::remove_cvref_t for C++11).
2326  template<typename _Tp>
2327  using __remove_cvref_t
2328  = typename remove_cv<typename remove_reference<_Tp>::type>::type;
2329  /// @endcond
2330 
2331  // Primary template.
2332  /// Define a member typedef @c type to one of two argument types.
2333  template<bool _Cond, typename _Iftrue, typename _Iffalse>
2334  struct conditional
2335  { using type = _Iftrue; };
2336 
2337  // Partial specialization for false.
2338  template<typename _Iftrue, typename _Iffalse>
2339  struct conditional<false, _Iftrue, _Iffalse>
2340  { using type = _Iffalse; };
2341 
2342  /// common_type
2343  template<typename... _Tp>
2344  struct common_type;
2345 
2346  // Sfinae-friendly common_type implementation:
2347 
2348  /// @cond undocumented
2349 
2350  // For several sfinae-friendly trait implementations we transport both the
2351  // result information (as the member type) and the failure information (no
2352  // member type). This is very similar to std::enable_if, but we cannot use
2353  // that, because we need to derive from them as an implementation detail.
2354 
2355  template<typename _Tp>
2356  struct __success_type
2357  { using type = _Tp; };
2358 
2359  struct __failure_type
2360  { };
2361 
2362  struct __do_common_type_impl
2363  {
2364  template<typename _Tp, typename _Up>
2365  using __cond_t
2366  = decltype(true ? std::declval<_Tp>() : std::declval<_Up>());
2367 
2368  // if decay_t<decltype(false ? declval<D1>() : declval<D2>())>
2369  // denotes a valid type, let C denote that type.
2370  template<typename _Tp, typename _Up>
2371  static __success_type<__decay_t<__cond_t<_Tp, _Up>>>
2372  _S_test(int);
2373 
2374 #if __cplusplus > 201703L
2375  // Otherwise, if COND-RES(CREF(D1), CREF(D2)) denotes a type,
2376  // let C denote the type decay_t<COND-RES(CREF(D1), CREF(D2))>.
2377  template<typename _Tp, typename _Up>
2378  static __success_type<__remove_cvref_t<__cond_t<const _Tp&, const _Up&>>>
2379  _S_test_2(int);
2380 #endif
2381 
2382  template<typename, typename>
2383  static __failure_type
2384  _S_test_2(...);
2385 
2386  template<typename _Tp, typename _Up>
2387  static decltype(_S_test_2<_Tp, _Up>(0))
2388  _S_test(...);
2389  };
2390 
2391  // If sizeof...(T) is zero, there shall be no member type.
2392  template<>
2393  struct common_type<>
2394  { };
2395 
2396  // If sizeof...(T) is one, the same type, if any, as common_type_t<T0, T0>.
2397  template<typename _Tp0>
2398  struct common_type<_Tp0>
2399  : public common_type<_Tp0, _Tp0>
2400  { };
2401 
2402  // If sizeof...(T) is two, ...
2403  template<typename _Tp1, typename _Tp2,
2404  typename _Dp1 = __decay_t<_Tp1>, typename _Dp2 = __decay_t<_Tp2>>
2405  struct __common_type_impl
2406  {
2407  // If is_same_v<T1, D1> is false or is_same_v<T2, D2> is false,
2408  // let C denote the same type, if any, as common_type_t<D1, D2>.
2409  using type = common_type<_Dp1, _Dp2>;
2410  };
2411 
2412  template<typename _Tp1, typename _Tp2>
2413  struct __common_type_impl<_Tp1, _Tp2, _Tp1, _Tp2>
2414  : private __do_common_type_impl
2415  {
2416  // Otherwise, if decay_t<decltype(false ? declval<D1>() : declval<D2>())>
2417  // denotes a valid type, let C denote that type.
2418  using type = decltype(_S_test<_Tp1, _Tp2>(0));
2419  };
2420 
2421  // If sizeof...(T) is two, ...
2422  template<typename _Tp1, typename _Tp2>
2423  struct common_type<_Tp1, _Tp2>
2424  : public __common_type_impl<_Tp1, _Tp2>::type
2425  { };
2426 
2427  template<typename...>
2428  struct __common_type_pack
2429  { };
2430 
2431  template<typename, typename, typename = void>
2432  struct __common_type_fold;
2433 
2434  // If sizeof...(T) is greater than two, ...
2435  template<typename _Tp1, typename _Tp2, typename... _Rp>
2436  struct common_type<_Tp1, _Tp2, _Rp...>
2437  : public __common_type_fold<common_type<_Tp1, _Tp2>,
2438  __common_type_pack<_Rp...>>
2439  { };
2440 
2441  // Let C denote the same type, if any, as common_type_t<T1, T2>.
2442  // If there is such a type C, type shall denote the same type, if any,
2443  // as common_type_t<C, R...>.
2444  template<typename _CTp, typename... _Rp>
2445  struct __common_type_fold<_CTp, __common_type_pack<_Rp...>,
2446  __void_t<typename _CTp::type>>
2447  : public common_type<typename _CTp::type, _Rp...>
2448  { };
2449 
2450  // Otherwise, there shall be no member type.
2451  template<typename _CTp, typename _Rp>
2452  struct __common_type_fold<_CTp, _Rp, void>
2453  { };
2454 
2455  template<typename _Tp, bool = __is_enum(_Tp)>
2456  struct __underlying_type_impl
2457  {
2458  using type = __underlying_type(_Tp);
2459  };
2460 
2461  template<typename _Tp>
2462  struct __underlying_type_impl<_Tp, false>
2463  { };
2464  /// @endcond
2465 
2466  /// The underlying type of an enum.
2467  template<typename _Tp>
2468  struct underlying_type
2469  : public __underlying_type_impl<_Tp>
2470  { };
2471 
2472  /// @cond undocumented
2473  template<typename _Tp>
2474  struct __declval_protector
2475  {
2476  static const bool __stop = false;
2477  };
2478  /// @endcond
2479 
2480  /** Utility to simplify expressions used in unevaluated operands
2481  * @since C++11
2482  * @ingroup utilities
2483  */
2484  template<typename _Tp>
2485  auto declval() noexcept -> decltype(__declval<_Tp>(0))
2486  {
2487  static_assert(__declval_protector<_Tp>::__stop,
2488  "declval() must not be used!");
2489  return __declval<_Tp>(0);
2490  }
2491 
2492  /// result_of
2493  template<typename _Signature>
2494  struct result_of;
2495 
2496  // Sfinae-friendly result_of implementation:
2497 
2498  /// @cond undocumented
2499  struct __invoke_memfun_ref { };
2500  struct __invoke_memfun_deref { };
2501  struct __invoke_memobj_ref { };
2502  struct __invoke_memobj_deref { };
2503  struct __invoke_other { };
2504 
2505  // Associate a tag type with a specialization of __success_type.
2506  template<typename _Tp, typename _Tag>
2507  struct __result_of_success : __success_type<_Tp>
2508  { using __invoke_type = _Tag; };
2509 
2510  // [func.require] paragraph 1 bullet 1:
2511  struct __result_of_memfun_ref_impl
2512  {
2513  template<typename _Fp, typename _Tp1, typename... _Args>
2514  static __result_of_success<decltype(
2515  (std::declval<_Tp1>().*std::declval<_Fp>())(std::declval<_Args>()...)
2516  ), __invoke_memfun_ref> _S_test(int);
2517 
2518  template<typename...>
2519  static __failure_type _S_test(...);
2520  };
2521 
2522  template<typename _MemPtr, typename _Arg, typename... _Args>
2523  struct __result_of_memfun_ref
2524  : private __result_of_memfun_ref_impl
2525  {
2526  using type = decltype(_S_test<_MemPtr, _Arg, _Args...>(0));
2527  };
2528 
2529  // [func.require] paragraph 1 bullet 2:
2530  struct __result_of_memfun_deref_impl
2531  {
2532  template<typename _Fp, typename _Tp1, typename... _Args>
2533  static __result_of_success<decltype(
2534  ((*std::declval<_Tp1>()).*std::declval<_Fp>())(std::declval<_Args>()...)
2535  ), __invoke_memfun_deref> _S_test(int);
2536 
2537  template<typename...>
2538  static __failure_type _S_test(...);
2539  };
2540 
2541  template<typename _MemPtr, typename _Arg, typename... _Args>
2542  struct __result_of_memfun_deref
2543  : private __result_of_memfun_deref_impl
2544  {
2545  using type = decltype(_S_test<_MemPtr, _Arg, _Args...>(0));
2546  };
2547 
2548  // [func.require] paragraph 1 bullet 3:
2549  struct __result_of_memobj_ref_impl
2550  {
2551  template<typename _Fp, typename _Tp1>
2552  static __result_of_success<decltype(
2553  std::declval<_Tp1>().*std::declval<_Fp>()
2554  ), __invoke_memobj_ref> _S_test(int);
2555 
2556  template<typename, typename>
2557  static __failure_type _S_test(...);
2558  };
2559 
2560  template<typename _MemPtr, typename _Arg>
2561  struct __result_of_memobj_ref
2562  : private __result_of_memobj_ref_impl
2563  {
2564  using type = decltype(_S_test<_MemPtr, _Arg>(0));
2565  };
2566 
2567  // [func.require] paragraph 1 bullet 4:
2568  struct __result_of_memobj_deref_impl
2569  {
2570  template<typename _Fp, typename _Tp1>
2571  static __result_of_success<decltype(
2572  (*std::declval<_Tp1>()).*std::declval<_Fp>()
2573  ), __invoke_memobj_deref> _S_test(int);
2574 
2575  template<typename, typename>
2576  static __failure_type _S_test(...);
2577  };
2578 
2579  template<typename _MemPtr, typename _Arg>
2580  struct __result_of_memobj_deref
2581  : private __result_of_memobj_deref_impl
2582  {
2583  using type = decltype(_S_test<_MemPtr, _Arg>(0));
2584  };
2585 
2586  template<typename _MemPtr, typename _Arg>
2587  struct __result_of_memobj;
2588 
2589  template<typename _Res, typename _Class, typename _Arg>
2590  struct __result_of_memobj<_Res _Class::*, _Arg>
2591  {
2592  using _Argval = __remove_cvref_t<_Arg>;
2593  using _MemPtr = _Res _Class::*;
2594  using type = typename __conditional_t<__or_<is_same<_Argval, _Class>,
2595  is_base_of<_Class, _Argval>>::value,
2596  __result_of_memobj_ref<_MemPtr, _Arg>,
2597  __result_of_memobj_deref<_MemPtr, _Arg>
2598  >::type;
2599  };
2600 
2601  template<typename _MemPtr, typename _Arg, typename... _Args>
2602  struct __result_of_memfun;
2603 
2604  template<typename _Res, typename _Class, typename _Arg, typename... _Args>
2605  struct __result_of_memfun<_Res _Class::*, _Arg, _Args...>
2606  {
2607  using _Argval = typename remove_reference<_Arg>::type;
2608  using _MemPtr = _Res _Class::*;
2609  using type = typename __conditional_t<is_base_of<_Class, _Argval>::value,
2610  __result_of_memfun_ref<_MemPtr, _Arg, _Args...>,
2611  __result_of_memfun_deref<_MemPtr, _Arg, _Args...>
2612  >::type;
2613  };
2614 
2615  // _GLIBCXX_RESOLVE_LIB_DEFECTS
2616  // 2219. INVOKE-ing a pointer to member with a reference_wrapper
2617  // as the object expression
2618 
2619  // Used by result_of, invoke etc. to unwrap a reference_wrapper.
2620  template<typename _Tp, typename _Up = __remove_cvref_t<_Tp>>
2621  struct __inv_unwrap
2622  {
2623  using type = _Tp;
2624  };
2625 
2626  template<typename _Tp, typename _Up>
2627  struct __inv_unwrap<_Tp, reference_wrapper<_Up>>
2628  {
2629  using type = _Up&;
2630  };
2631 
2632  template<bool, bool, typename _Functor, typename... _ArgTypes>
2633  struct __result_of_impl
2634  {
2635  using type = __failure_type;
2636  };
2637 
2638  template<typename _MemPtr, typename _Arg>
2639  struct __result_of_impl<true, false, _MemPtr, _Arg>
2640  : public __result_of_memobj<__decay_t<_MemPtr>,
2641  typename __inv_unwrap<_Arg>::type>
2642  { };
2643 
2644  template<typename _MemPtr, typename _Arg, typename... _Args>
2645  struct __result_of_impl<false, true, _MemPtr, _Arg, _Args...>
2646  : public __result_of_memfun<__decay_t<_MemPtr>,
2647  typename __inv_unwrap<_Arg>::type, _Args...>
2648  { };
2649 
2650  // [func.require] paragraph 1 bullet 5:
2651  struct __result_of_other_impl
2652  {
2653  template<typename _Fn, typename... _Args>
2654  static __result_of_success<decltype(
2655  std::declval<_Fn>()(std::declval<_Args>()...)
2656  ), __invoke_other> _S_test(int);
2657 
2658  template<typename...>
2659  static __failure_type _S_test(...);
2660  };
2661 
2662  template<typename _Functor, typename... _ArgTypes>
2663  struct __result_of_impl<false, false, _Functor, _ArgTypes...>
2664  : private __result_of_other_impl
2665  {
2666  using type = decltype(_S_test<_Functor, _ArgTypes...>(0));
2667  };
2668 
2669  // __invoke_result (std::invoke_result for C++11)
2670  template<typename _Functor, typename... _ArgTypes>
2671  struct __invoke_result
2672  : public __result_of_impl<
2673  is_member_object_pointer<
2674  typename remove_reference<_Functor>::type
2675  >::value,
2676  is_member_function_pointer<
2677  typename remove_reference<_Functor>::type
2678  >::value,
2679  _Functor, _ArgTypes...
2680  >::type
2681  { };
2682 
2683  // __invoke_result_t (std::invoke_result_t for C++11)
2684  template<typename _Fn, typename... _Args>
2685  using __invoke_result_t = typename __invoke_result<_Fn, _Args...>::type;
2686  /// @endcond
2687 
2688  template<typename _Functor, typename... _ArgTypes>
2689  struct result_of<_Functor(_ArgTypes...)>
2690  : public __invoke_result<_Functor, _ArgTypes...>
2691  { } _GLIBCXX17_DEPRECATED_SUGGEST("std::invoke_result");
2692 
2693 #if __cplusplus >= 201402L
2694 #pragma GCC diagnostic push
2695 #pragma GCC diagnostic ignored "-Wdeprecated-declarations"
2696  /// Alias template for aligned_storage
2697  template<size_t _Len, size_t _Align =
2698  __alignof__(typename __aligned_storage_msa<_Len>::__type)>
2699  using aligned_storage_t _GLIBCXX23_DEPRECATED = typename aligned_storage<_Len, _Align>::type;
2700 
2701  template <size_t _Len, typename... _Types>
2702  using aligned_union_t _GLIBCXX23_DEPRECATED = typename aligned_union<_Len, _Types...>::type;
2703 #pragma GCC diagnostic pop
2704 
2705  /// Alias template for decay
2706  template<typename _Tp>
2707  using decay_t = typename decay<_Tp>::type;
2708 
2709  /// Alias template for enable_if
2710  template<bool _Cond, typename _Tp = void>
2711  using enable_if_t = typename enable_if<_Cond, _Tp>::type;
2712 
2713  /// Alias template for conditional
2714  template<bool _Cond, typename _Iftrue, typename _Iffalse>
2715  using conditional_t = typename conditional<_Cond, _Iftrue, _Iffalse>::type;
2716 
2717  /// Alias template for common_type
2718  template<typename... _Tp>
2719  using common_type_t = typename common_type<_Tp...>::type;
2720 
2721  /// Alias template for underlying_type
2722  template<typename _Tp>
2723  using underlying_type_t = typename underlying_type<_Tp>::type;
2724 
2725  /// Alias template for result_of
2726  template<typename _Tp>
2727  using result_of_t = typename result_of<_Tp>::type;
2728 #endif // C++14
2729 
2730 #ifdef __cpp_lib_void_t // C++ >= 17 || GNU++ >= 11
2731  /// A metafunction that always yields void, used for detecting valid types.
2732  template<typename...> using void_t = void;
2733 #endif
2734 
2735  /// @cond undocumented
2736 
2737  // Detection idiom.
2738  // Detect whether _Op<_Args...> is a valid type, use default _Def if not.
2739 
2740 #if __cpp_concepts
2741  // Implementation of the detection idiom (negative case).
2742  template<typename _Def, template<typename...> class _Op, typename... _Args>
2743  struct __detected_or
2744  {
2745  using type = _Def;
2746  using __is_detected = false_type;
2747  };
2748 
2749  // Implementation of the detection idiom (positive case).
2750  template<typename _Def, template<typename...> class _Op, typename... _Args>
2751  requires requires { typename _Op<_Args...>; }
2752  struct __detected_or<_Def, _Op, _Args...>
2753  {
2754  using type = _Op<_Args...>;
2755  using __is_detected = true_type;
2756  };
2757 #else
2758  /// Implementation of the detection idiom (negative case).
2759  template<typename _Default, typename _AlwaysVoid,
2760  template<typename...> class _Op, typename... _Args>
2761  struct __detector
2762  {
2763  using type = _Default;
2764  using __is_detected = false_type;
2765  };
2766 
2767  /// Implementation of the detection idiom (positive case).
2768  template<typename _Default, template<typename...> class _Op,
2769  typename... _Args>
2770  struct __detector<_Default, __void_t<_Op<_Args...>>, _Op, _Args...>
2771  {
2772  using type = _Op<_Args...>;
2773  using __is_detected = true_type;
2774  };
2775 
2776  template<typename _Default, template<typename...> class _Op,
2777  typename... _Args>
2778  using __detected_or = __detector<_Default, void, _Op, _Args...>;
2779 #endif // __cpp_concepts
2780 
2781  // _Op<_Args...> if that is a valid type, otherwise _Default.
2782  template<typename _Default, template<typename...> class _Op,
2783  typename... _Args>
2784  using __detected_or_t
2785  = typename __detected_or<_Default, _Op, _Args...>::type;
2786 
2787  /**
2788  * Use SFINAE to determine if the type _Tp has a publicly-accessible
2789  * member type _NTYPE.
2790  */
2791 #define _GLIBCXX_HAS_NESTED_TYPE(_NTYPE) \
2792  template<typename _Tp, typename = __void_t<>> \
2793  struct __has_##_NTYPE \
2794  : false_type \
2795  { }; \
2796  template<typename _Tp> \
2797  struct __has_##_NTYPE<_Tp, __void_t<typename _Tp::_NTYPE>> \
2798  : true_type \
2799  { };
2800 
2801  template <typename _Tp>
2802  struct __is_swappable;
2803 
2804  template <typename _Tp>
2805  struct __is_nothrow_swappable;
2806 
2807  template<typename>
2808  struct __is_tuple_like_impl : false_type
2809  { };
2810 
2811  // Internal type trait that allows us to sfinae-protect tuple_cat.
2812  template<typename _Tp>
2813  struct __is_tuple_like
2814  : public __is_tuple_like_impl<__remove_cvref_t<_Tp>>::type
2815  { };
2816  /// @endcond
2817 
2818  template<typename _Tp>
2819  _GLIBCXX20_CONSTEXPR
2820  inline
2821  _Require<__not_<__is_tuple_like<_Tp>>,
2822  is_move_constructible<_Tp>,
2823  is_move_assignable<_Tp>>
2824  swap(_Tp&, _Tp&)
2825  noexcept(__and_<is_nothrow_move_constructible<_Tp>,
2826  is_nothrow_move_assignable<_Tp>>::value);
2827 
2828  template<typename _Tp, size_t _Nm>
2829  _GLIBCXX20_CONSTEXPR
2830  inline
2831  __enable_if_t<__is_swappable<_Tp>::value>
2832  swap(_Tp (&__a)[_Nm], _Tp (&__b)[_Nm])
2833  noexcept(__is_nothrow_swappable<_Tp>::value);
2834 
2835  /// @cond undocumented
2836  namespace __swappable_details {
2837  using std::swap;
2838 
2839  struct __do_is_swappable_impl
2840  {
2841  template<typename _Tp, typename
2842  = decltype(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))>
2843  static true_type __test(int);
2844 
2845  template<typename>
2846  static false_type __test(...);
2847  };
2848 
2849  struct __do_is_nothrow_swappable_impl
2850  {
2851  template<typename _Tp>
2852  static __bool_constant<
2853  noexcept(swap(std::declval<_Tp&>(), std::declval<_Tp&>()))
2854  > __test(int);
2855 
2856  template<typename>
2857  static false_type __test(...);
2858  };
2859 
2860  } // namespace __swappable_details
2861 
2862  template<typename _Tp>
2863  struct __is_swappable_impl
2864  : public __swappable_details::__do_is_swappable_impl
2865  {
2866  using type = decltype(__test<_Tp>(0));
2867  };
2868 
2869  template<typename _Tp>
2870  struct __is_nothrow_swappable_impl
2871  : public __swappable_details::__do_is_nothrow_swappable_impl
2872  {
2873  using type = decltype(__test<_Tp>(0));
2874  };
2875 
2876  template<typename _Tp>
2877  struct __is_swappable
2878  : public __is_swappable_impl<_Tp>::type
2879  { };
2880 
2881  template<typename _Tp>
2882  struct __is_nothrow_swappable
2883  : public __is_nothrow_swappable_impl<_Tp>::type
2884  { };
2885  /// @endcond
2886 
2887 #ifdef __cpp_lib_is_swappable // C++ >= 17 || GNU++ >= 11
2888  /// Metafunctions used for detecting swappable types: p0185r1
2889 
2890  /// is_swappable
2891  template<typename _Tp>
2892  struct is_swappable
2893  : public __is_swappable_impl<_Tp>::type
2894  {
2895  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
2896  "template argument must be a complete class or an unbounded array");
2897  };
2898 
2899  /// is_nothrow_swappable
2900  template<typename _Tp>
2901  struct is_nothrow_swappable
2902  : public __is_nothrow_swappable_impl<_Tp>::type
2903  {
2904  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
2905  "template argument must be a complete class or an unbounded array");
2906  };
2907 
2908 #if __cplusplus >= 201402L
2909  /// is_swappable_v
2910  template<typename _Tp>
2911  _GLIBCXX17_INLINE constexpr bool is_swappable_v =
2912  is_swappable<_Tp>::value;
2913 
2914  /// is_nothrow_swappable_v
2915  template<typename _Tp>
2916  _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_v =
2917  is_nothrow_swappable<_Tp>::value;
2918 #endif // __cplusplus >= 201402L
2919 
2920  /// @cond undocumented
2921  namespace __swappable_with_details {
2922  using std::swap;
2923 
2924  struct __do_is_swappable_with_impl
2925  {
2926  template<typename _Tp, typename _Up, typename
2927  = decltype(swap(std::declval<_Tp>(), std::declval<_Up>())),
2928  typename
2929  = decltype(swap(std::declval<_Up>(), std::declval<_Tp>()))>
2930  static true_type __test(int);
2931 
2932  template<typename, typename>
2933  static false_type __test(...);
2934  };
2935 
2936  struct __do_is_nothrow_swappable_with_impl
2937  {
2938  template<typename _Tp, typename _Up>
2939  static __bool_constant<
2940  noexcept(swap(std::declval<_Tp>(), std::declval<_Up>()))
2941  &&
2942  noexcept(swap(std::declval<_Up>(), std::declval<_Tp>()))
2943  > __test(int);
2944 
2945  template<typename, typename>
2946  static false_type __test(...);
2947  };
2948 
2949  } // namespace __swappable_with_details
2950 
2951  template<typename _Tp, typename _Up>
2952  struct __is_swappable_with_impl
2953  : public __swappable_with_details::__do_is_swappable_with_impl
2954  {
2955  using type = decltype(__test<_Tp, _Up>(0));
2956  };
2957 
2958  // Optimization for the homogenous lvalue case, not required:
2959  template<typename _Tp>
2960  struct __is_swappable_with_impl<_Tp&, _Tp&>
2961  : public __swappable_details::__do_is_swappable_impl
2962  {
2963  using type = decltype(__test<_Tp&>(0));
2964  };
2965 
2966  template<typename _Tp, typename _Up>
2967  struct __is_nothrow_swappable_with_impl
2968  : public __swappable_with_details::__do_is_nothrow_swappable_with_impl
2969  {
2970  using type = decltype(__test<_Tp, _Up>(0));
2971  };
2972 
2973  // Optimization for the homogenous lvalue case, not required:
2974  template<typename _Tp>
2975  struct __is_nothrow_swappable_with_impl<_Tp&, _Tp&>
2976  : public __swappable_details::__do_is_nothrow_swappable_impl
2977  {
2978  using type = decltype(__test<_Tp&>(0));
2979  };
2980  /// @endcond
2981 
2982  /// is_swappable_with
2983  template<typename _Tp, typename _Up>
2984  struct is_swappable_with
2985  : public __is_swappable_with_impl<_Tp, _Up>::type
2986  {
2987  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
2988  "first template argument must be a complete class or an unbounded array");
2989  static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
2990  "second template argument must be a complete class or an unbounded array");
2991  };
2992 
2993  /// is_nothrow_swappable_with
2994  template<typename _Tp, typename _Up>
2995  struct is_nothrow_swappable_with
2996  : public __is_nothrow_swappable_with_impl<_Tp, _Up>::type
2997  {
2998  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
2999  "first template argument must be a complete class or an unbounded array");
3000  static_assert(std::__is_complete_or_unbounded(__type_identity<_Up>{}),
3001  "second template argument must be a complete class or an unbounded array");
3002  };
3003 
3004 #if __cplusplus >= 201402L
3005  /// is_swappable_with_v
3006  template<typename _Tp, typename _Up>
3007  _GLIBCXX17_INLINE constexpr bool is_swappable_with_v =
3008  is_swappable_with<_Tp, _Up>::value;
3009 
3010  /// is_nothrow_swappable_with_v
3011  template<typename _Tp, typename _Up>
3012  _GLIBCXX17_INLINE constexpr bool is_nothrow_swappable_with_v =
3013  is_nothrow_swappable_with<_Tp, _Up>::value;
3014 #endif // __cplusplus >= 201402L
3015 
3016 #endif // __cpp_lib_is_swappable
3017 
3018  /// @cond undocumented
3019 
3020  // __is_invocable (std::is_invocable for C++11)
3021 
3022  // The primary template is used for invalid INVOKE expressions.
3023  template<typename _Result, typename _Ret,
3024  bool = is_void<_Ret>::value, typename = void>
3025  struct __is_invocable_impl
3026  : false_type
3027  {
3028  using __nothrow_conv = false_type; // For is_nothrow_invocable_r
3029  };
3030 
3031  // Used for valid INVOKE and INVOKE<void> expressions.
3032  template<typename _Result, typename _Ret>
3033  struct __is_invocable_impl<_Result, _Ret,
3034  /* is_void<_Ret> = */ true,
3035  __void_t<typename _Result::type>>
3036  : true_type
3037  {
3038  using __nothrow_conv = true_type; // For is_nothrow_invocable_r
3039  };
3040 
3041 #pragma GCC diagnostic push
3042 #pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
3043  // Used for INVOKE<R> expressions to check the implicit conversion to R.
3044  template<typename _Result, typename _Ret>
3045  struct __is_invocable_impl<_Result, _Ret,
3046  /* is_void<_Ret> = */ false,
3047  __void_t<typename _Result::type>>
3048  {
3049  private:
3050  // The type of the INVOKE expression.
3051  using _Res_t = typename _Result::type;
3052 
3053  // Unlike declval, this doesn't add_rvalue_reference, so it respects
3054  // guaranteed copy elision.
3055  static _Res_t _S_get() noexcept;
3056 
3057  // Used to check if _Res_t can implicitly convert to _Tp.
3058  template<typename _Tp>
3059  static void _S_conv(__type_identity_t<_Tp>) noexcept;
3060 
3061  // This overload is viable if INVOKE(f, args...) can convert to _Tp.
3062  template<typename _Tp,
3063  bool _Nothrow = noexcept(_S_conv<_Tp>(_S_get())),
3064  typename = decltype(_S_conv<_Tp>(_S_get())),
3065 #if __has_builtin(__reference_converts_from_temporary)
3066  bool _Dangle = __reference_converts_from_temporary(_Tp, _Res_t)
3067 #else
3068  bool _Dangle = false
3069 #endif
3070  >
3071  static __bool_constant<_Nothrow && !_Dangle>
3072  _S_test(int);
3073 
3074  template<typename _Tp, bool = false>
3075  static false_type
3076  _S_test(...);
3077 
3078  public:
3079  // For is_invocable_r
3080  using type = decltype(_S_test<_Ret, /* Nothrow = */ true>(1));
3081 
3082  // For is_nothrow_invocable_r
3083  using __nothrow_conv = decltype(_S_test<_Ret>(1));
3084  };
3085 #pragma GCC diagnostic pop
3086 
3087  template<typename _Fn, typename... _ArgTypes>
3088  struct __is_invocable
3089  : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
3090  { };
3091 
3092  template<typename _Fn, typename _Tp, typename... _Args>
3093  constexpr bool __call_is_nt(__invoke_memfun_ref)
3094  {
3095  using _Up = typename __inv_unwrap<_Tp>::type;
3096  return noexcept((std::declval<_Up>().*std::declval<_Fn>())(
3097  std::declval<_Args>()...));
3098  }
3099 
3100  template<typename _Fn, typename _Tp, typename... _Args>
3101  constexpr bool __call_is_nt(__invoke_memfun_deref)
3102  {
3103  return noexcept(((*std::declval<_Tp>()).*std::declval<_Fn>())(
3104  std::declval<_Args>()...));
3105  }
3106 
3107  template<typename _Fn, typename _Tp>
3108  constexpr bool __call_is_nt(__invoke_memobj_ref)
3109  {
3110  using _Up = typename __inv_unwrap<_Tp>::type;
3111  return noexcept(std::declval<_Up>().*std::declval<_Fn>());
3112  }
3113 
3114  template<typename _Fn, typename _Tp>
3115  constexpr bool __call_is_nt(__invoke_memobj_deref)
3116  {
3117  return noexcept((*std::declval<_Tp>()).*std::declval<_Fn>());
3118  }
3119 
3120  template<typename _Fn, typename... _Args>
3121  constexpr bool __call_is_nt(__invoke_other)
3122  {
3123  return noexcept(std::declval<_Fn>()(std::declval<_Args>()...));
3124  }
3125 
3126  template<typename _Result, typename _Fn, typename... _Args>
3127  struct __call_is_nothrow
3128  : __bool_constant<
3129  std::__call_is_nt<_Fn, _Args...>(typename _Result::__invoke_type{})
3130  >
3131  { };
3132 
3133  template<typename _Fn, typename... _Args>
3134  using __call_is_nothrow_
3135  = __call_is_nothrow<__invoke_result<_Fn, _Args...>, _Fn, _Args...>;
3136 
3137  // __is_nothrow_invocable (std::is_nothrow_invocable for C++11)
3138  template<typename _Fn, typename... _Args>
3139  struct __is_nothrow_invocable
3140  : __and_<__is_invocable<_Fn, _Args...>,
3141  __call_is_nothrow_<_Fn, _Args...>>::type
3142  { };
3143 
3144 #pragma GCC diagnostic push
3145 #pragma GCC diagnostic ignored "-Wctor-dtor-privacy"
3146  struct __nonesuchbase {};
3147  struct __nonesuch : private __nonesuchbase {
3148  ~__nonesuch() = delete;
3149  __nonesuch(__nonesuch const&) = delete;
3150  void operator=(__nonesuch const&) = delete;
3151  };
3152 #pragma GCC diagnostic pop
3153  /// @endcond
3154 
3155 #ifdef __cpp_lib_is_invocable // C++ >= 17
3156  /// std::invoke_result
3157  template<typename _Functor, typename... _ArgTypes>
3158  struct invoke_result
3159  : public __invoke_result<_Functor, _ArgTypes...>
3160  {
3161  static_assert(std::__is_complete_or_unbounded(__type_identity<_Functor>{}),
3162  "_Functor must be a complete class or an unbounded array");
3163  static_assert((std::__is_complete_or_unbounded(
3164  __type_identity<_ArgTypes>{}) && ...),
3165  "each argument type must be a complete class or an unbounded array");
3166  };
3167 
3168  /// std::invoke_result_t
3169  template<typename _Fn, typename... _Args>
3170  using invoke_result_t = typename invoke_result<_Fn, _Args...>::type;
3171 
3172  /// std::is_invocable
3173  template<typename _Fn, typename... _ArgTypes>
3174  struct is_invocable
3175  : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>::type
3176  {
3177  static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
3178  "_Fn must be a complete class or an unbounded array");
3179  static_assert((std::__is_complete_or_unbounded(
3180  __type_identity<_ArgTypes>{}) && ...),
3181  "each argument type must be a complete class or an unbounded array");
3182  };
3183 
3184  /// std::is_invocable_r
3185  template<typename _Ret, typename _Fn, typename... _ArgTypes>
3186  struct is_invocable_r
3187  : __is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>::type
3188  {
3189  static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
3190  "_Fn must be a complete class or an unbounded array");
3191  static_assert((std::__is_complete_or_unbounded(
3192  __type_identity<_ArgTypes>{}) && ...),
3193  "each argument type must be a complete class or an unbounded array");
3194  static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
3195  "_Ret must be a complete class or an unbounded array");
3196  };
3197 
3198  /// std::is_nothrow_invocable
3199  template<typename _Fn, typename... _ArgTypes>
3200  struct is_nothrow_invocable
3201  : __and_<__is_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, void>,
3202  __call_is_nothrow_<_Fn, _ArgTypes...>>::type
3203  {
3204  static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
3205  "_Fn must be a complete class or an unbounded array");
3206  static_assert((std::__is_complete_or_unbounded(
3207  __type_identity<_ArgTypes>{}) && ...),
3208  "each argument type must be a complete class or an unbounded array");
3209  };
3210 
3211  /// @cond undocumented
3212  // This checks that the INVOKE<R> expression is well-formed and that the
3213  // conversion to R does not throw. It does *not* check whether the INVOKE
3214  // expression itself can throw. That is done by __call_is_nothrow_ instead.
3215  template<typename _Result, typename _Ret>
3216  using __is_nt_invocable_impl
3217  = typename __is_invocable_impl<_Result, _Ret>::__nothrow_conv;
3218  /// @endcond
3219 
3220  /// std::is_nothrow_invocable_r
3221  template<typename _Ret, typename _Fn, typename... _ArgTypes>
3222  struct is_nothrow_invocable_r
3223  : __and_<__is_nt_invocable_impl<__invoke_result<_Fn, _ArgTypes...>, _Ret>,
3224  __call_is_nothrow_<_Fn, _ArgTypes...>>::type
3225  {
3226  static_assert(std::__is_complete_or_unbounded(__type_identity<_Fn>{}),
3227  "_Fn must be a complete class or an unbounded array");
3228  static_assert((std::__is_complete_or_unbounded(
3229  __type_identity<_ArgTypes>{}) && ...),
3230  "each argument type must be a complete class or an unbounded array");
3231  static_assert(std::__is_complete_or_unbounded(__type_identity<_Ret>{}),
3232  "_Ret must be a complete class or an unbounded array");
3233  };
3234 #endif // __cpp_lib_is_invocable
3235 
3236 #if __cpp_lib_type_trait_variable_templates // C++ >= 17
3237  /**
3238  * @defgroup variable_templates Variable templates for type traits
3239  * @ingroup metaprogramming
3240  *
3241  * Each variable `is_xxx_v<T>` is a boolean constant with the same value
3242  * as the `value` member of the corresponding type trait `is_xxx<T>`.
3243  *
3244  * @since C++17 unless noted otherwise.
3245  */
3246 
3247  /**
3248  * @{
3249  * @ingroup variable_templates
3250  */
3251 template <typename _Tp>
3252  inline constexpr bool is_void_v = is_void<_Tp>::value;
3253 template <typename _Tp>
3254  inline constexpr bool is_null_pointer_v = is_null_pointer<_Tp>::value;
3255 template <typename _Tp>
3256  inline constexpr bool is_integral_v = is_integral<_Tp>::value;
3257 template <typename _Tp>
3258  inline constexpr bool is_floating_point_v = is_floating_point<_Tp>::value;
3259 
3260 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_array)
3261 template <typename _Tp>
3262  inline constexpr bool is_array_v = __is_array(_Tp);
3263 #else
3264 template <typename _Tp>
3265  inline constexpr bool is_array_v = false;
3266 template <typename _Tp>
3267  inline constexpr bool is_array_v<_Tp[]> = true;
3268 template <typename _Tp, size_t _Num>
3269  inline constexpr bool is_array_v<_Tp[_Num]> = true;
3270 #endif
3271 
3272 template <typename _Tp>
3273  inline constexpr bool is_pointer_v = is_pointer<_Tp>::value;
3274 template <typename _Tp>
3275  inline constexpr bool is_lvalue_reference_v = false;
3276 template <typename _Tp>
3277  inline constexpr bool is_lvalue_reference_v<_Tp&> = true;
3278 template <typename _Tp>
3279  inline constexpr bool is_rvalue_reference_v = false;
3280 template <typename _Tp>
3281  inline constexpr bool is_rvalue_reference_v<_Tp&&> = true;
3282 
3283 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_member_object_pointer)
3284 template <typename _Tp>
3285  inline constexpr bool is_member_object_pointer_v =
3286  __is_member_object_pointer(_Tp);
3287 #else
3288 template <typename _Tp>
3289  inline constexpr bool is_member_object_pointer_v =
3290  is_member_object_pointer<_Tp>::value;
3291 #endif
3292 
3293 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_member_function_pointer)
3294 template <typename _Tp>
3295  inline constexpr bool is_member_function_pointer_v =
3296  __is_member_function_pointer(_Tp);
3297 #else
3298 template <typename _Tp>
3299  inline constexpr bool is_member_function_pointer_v =
3300  is_member_function_pointer<_Tp>::value;
3301 #endif
3302 
3303 template <typename _Tp>
3304  inline constexpr bool is_enum_v = __is_enum(_Tp);
3305 template <typename _Tp>
3306  inline constexpr bool is_union_v = __is_union(_Tp);
3307 template <typename _Tp>
3308  inline constexpr bool is_class_v = __is_class(_Tp);
3309 // is_function_v is defined below, after is_const_v.
3310 
3311 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_reference)
3312 template <typename _Tp>
3313  inline constexpr bool is_reference_v = __is_reference(_Tp);
3314 #else
3315 template <typename _Tp>
3316  inline constexpr bool is_reference_v = false;
3317 template <typename _Tp>
3318  inline constexpr bool is_reference_v<_Tp&> = true;
3319 template <typename _Tp>
3320  inline constexpr bool is_reference_v<_Tp&&> = true;
3321 #endif
3322 
3323 template <typename _Tp>
3324  inline constexpr bool is_arithmetic_v = is_arithmetic<_Tp>::value;
3325 template <typename _Tp>
3326  inline constexpr bool is_fundamental_v = is_fundamental<_Tp>::value;
3327 
3328 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_object)
3329 template <typename _Tp>
3330  inline constexpr bool is_object_v = __is_object(_Tp);
3331 #else
3332 template <typename _Tp>
3333  inline constexpr bool is_object_v = is_object<_Tp>::value;
3334 #endif
3335 
3336 template <typename _Tp>
3337  inline constexpr bool is_scalar_v = is_scalar<_Tp>::value;
3338 template <typename _Tp>
3339  inline constexpr bool is_compound_v = !is_fundamental_v<_Tp>;
3340 
3341 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_member_pointer)
3342 template <typename _Tp>
3343  inline constexpr bool is_member_pointer_v = __is_member_pointer(_Tp);
3344 #else
3345 template <typename _Tp>
3346  inline constexpr bool is_member_pointer_v = is_member_pointer<_Tp>::value;
3347 #endif
3348 
3349 template <typename _Tp>
3350  inline constexpr bool is_const_v = false;
3351 template <typename _Tp>
3352  inline constexpr bool is_const_v<const _Tp> = true;
3353 
3354 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_function)
3355 template <typename _Tp>
3356  inline constexpr bool is_function_v = __is_function(_Tp);
3357 #else
3358 template <typename _Tp>
3359  inline constexpr bool is_function_v = !is_const_v<const _Tp>;
3360 template <typename _Tp>
3361  inline constexpr bool is_function_v<_Tp&> = false;
3362 template <typename _Tp>
3363  inline constexpr bool is_function_v<_Tp&&> = false;
3364 #endif
3365 
3366 template <typename _Tp>
3367  inline constexpr bool is_volatile_v = false;
3368 template <typename _Tp>
3369  inline constexpr bool is_volatile_v<volatile _Tp> = true;
3370 
3371 template <typename _Tp>
3372  inline constexpr bool is_trivial_v = __is_trivial(_Tp);
3373 template <typename _Tp>
3374  inline constexpr bool is_trivially_copyable_v = __is_trivially_copyable(_Tp);
3375 template <typename _Tp>
3376  inline constexpr bool is_standard_layout_v = __is_standard_layout(_Tp);
3377 template <typename _Tp>
3378  _GLIBCXX20_DEPRECATED_SUGGEST("is_standard_layout_v && is_trivial_v")
3379  inline constexpr bool is_pod_v = __is_pod(_Tp);
3380 template <typename _Tp>
3381  _GLIBCXX17_DEPRECATED
3382  inline constexpr bool is_literal_type_v = __is_literal_type(_Tp);
3383 template <typename _Tp>
3384  inline constexpr bool is_empty_v = __is_empty(_Tp);
3385 template <typename _Tp>
3386  inline constexpr bool is_polymorphic_v = __is_polymorphic(_Tp);
3387 template <typename _Tp>
3388  inline constexpr bool is_abstract_v = __is_abstract(_Tp);
3389 template <typename _Tp>
3390  inline constexpr bool is_final_v = __is_final(_Tp);
3391 
3392 template <typename _Tp>
3393  inline constexpr bool is_signed_v = is_signed<_Tp>::value;
3394 template <typename _Tp>
3395  inline constexpr bool is_unsigned_v = is_unsigned<_Tp>::value;
3396 
3397 template <typename _Tp, typename... _Args>
3398  inline constexpr bool is_constructible_v = __is_constructible(_Tp, _Args...);
3399 template <typename _Tp>
3400  inline constexpr bool is_default_constructible_v = __is_constructible(_Tp);
3401 template <typename _Tp>
3402  inline constexpr bool is_copy_constructible_v
3403  = __is_constructible(_Tp, __add_lval_ref_t<const _Tp>);
3404 template <typename _Tp>
3405  inline constexpr bool is_move_constructible_v
3406  = __is_constructible(_Tp, __add_rval_ref_t<_Tp>);
3407 
3408 template <typename _Tp, typename _Up>
3409  inline constexpr bool is_assignable_v = __is_assignable(_Tp, _Up);
3410 template <typename _Tp>
3411  inline constexpr bool is_copy_assignable_v
3412  = __is_assignable(__add_lval_ref_t<_Tp>, __add_lval_ref_t<const _Tp>);
3413 template <typename _Tp>
3414  inline constexpr bool is_move_assignable_v
3415  = __is_assignable(__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>);
3416 
3417 template <typename _Tp>
3418  inline constexpr bool is_destructible_v = is_destructible<_Tp>::value;
3419 
3420 template <typename _Tp, typename... _Args>
3421  inline constexpr bool is_trivially_constructible_v
3422  = __is_trivially_constructible(_Tp, _Args...);
3423 template <typename _Tp>
3424  inline constexpr bool is_trivially_default_constructible_v
3425  = __is_trivially_constructible(_Tp);
3426 template <typename _Tp>
3427  inline constexpr bool is_trivially_copy_constructible_v
3428  = __is_trivially_constructible(_Tp, __add_lval_ref_t<const _Tp>);
3429 template <typename _Tp>
3430  inline constexpr bool is_trivially_move_constructible_v
3431  = __is_trivially_constructible(_Tp, __add_rval_ref_t<_Tp>);
3432 
3433 template <typename _Tp, typename _Up>
3434  inline constexpr bool is_trivially_assignable_v
3435  = __is_trivially_assignable(_Tp, _Up);
3436 template <typename _Tp>
3437  inline constexpr bool is_trivially_copy_assignable_v
3438  = __is_trivially_assignable(__add_lval_ref_t<_Tp>,
3439  __add_lval_ref_t<const _Tp>);
3440 template <typename _Tp>
3441  inline constexpr bool is_trivially_move_assignable_v
3442  = __is_trivially_assignable(__add_lval_ref_t<_Tp>,
3443  __add_rval_ref_t<_Tp>);
3444 
3445 #if __cpp_concepts
3446 template <typename _Tp>
3447  inline constexpr bool is_trivially_destructible_v = false;
3448 
3449 template <typename _Tp>
3450  requires (!is_reference_v<_Tp>) && requires (_Tp& __t) { __t.~_Tp(); }
3451  inline constexpr bool is_trivially_destructible_v<_Tp>
3452  = __has_trivial_destructor(_Tp);
3453 template <typename _Tp>
3454  inline constexpr bool is_trivially_destructible_v<_Tp&> = true;
3455 template <typename _Tp>
3456  inline constexpr bool is_trivially_destructible_v<_Tp&&> = true;
3457 template <typename _Tp, size_t _Nm>
3458  inline constexpr bool is_trivially_destructible_v<_Tp[_Nm]>
3459  = is_trivially_destructible_v<_Tp>;
3460 #else
3461 template <typename _Tp>
3462  inline constexpr bool is_trivially_destructible_v =
3463  is_trivially_destructible<_Tp>::value;
3464 #endif
3465 
3466 template <typename _Tp, typename... _Args>
3467  inline constexpr bool is_nothrow_constructible_v
3468  = __is_nothrow_constructible(_Tp, _Args...);
3469 template <typename _Tp>
3470  inline constexpr bool is_nothrow_default_constructible_v
3471  = __is_nothrow_constructible(_Tp);
3472 template <typename _Tp>
3473  inline constexpr bool is_nothrow_copy_constructible_v
3474  = __is_nothrow_constructible(_Tp, __add_lval_ref_t<const _Tp>);
3475 template <typename _Tp>
3476  inline constexpr bool is_nothrow_move_constructible_v
3477  = __is_nothrow_constructible(_Tp, __add_rval_ref_t<_Tp>);
3478 
3479 template <typename _Tp, typename _Up>
3480  inline constexpr bool is_nothrow_assignable_v
3481  = __is_nothrow_assignable(_Tp, _Up);
3482 template <typename _Tp>
3483  inline constexpr bool is_nothrow_copy_assignable_v
3484  = __is_nothrow_assignable(__add_lval_ref_t<_Tp>,
3485  __add_lval_ref_t<const _Tp>);
3486 template <typename _Tp>
3487  inline constexpr bool is_nothrow_move_assignable_v
3488  = __is_nothrow_assignable(__add_lval_ref_t<_Tp>, __add_rval_ref_t<_Tp>);
3489 
3490 template <typename _Tp>
3491  inline constexpr bool is_nothrow_destructible_v =
3492  is_nothrow_destructible<_Tp>::value;
3493 
3494 template <typename _Tp>
3495  inline constexpr bool has_virtual_destructor_v
3496  = __has_virtual_destructor(_Tp);
3497 
3498 template <typename _Tp>
3499  inline constexpr size_t alignment_of_v = alignment_of<_Tp>::value;
3500 
3501 template <typename _Tp>
3502  inline constexpr size_t rank_v = 0;
3503 template <typename _Tp, size_t _Size>
3504  inline constexpr size_t rank_v<_Tp[_Size]> = 1 + rank_v<_Tp>;
3505 template <typename _Tp>
3506  inline constexpr size_t rank_v<_Tp[]> = 1 + rank_v<_Tp>;
3507 
3508 template <typename _Tp, unsigned _Idx = 0>
3509  inline constexpr size_t extent_v = 0;
3510 template <typename _Tp, size_t _Size>
3511  inline constexpr size_t extent_v<_Tp[_Size], 0> = _Size;
3512 template <typename _Tp, unsigned _Idx, size_t _Size>
3513  inline constexpr size_t extent_v<_Tp[_Size], _Idx> = extent_v<_Tp, _Idx - 1>;
3514 template <typename _Tp>
3515  inline constexpr size_t extent_v<_Tp[], 0> = 0;
3516 template <typename _Tp, unsigned _Idx>
3517  inline constexpr size_t extent_v<_Tp[], _Idx> = extent_v<_Tp, _Idx - 1>;
3518 
3519 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_same)
3520 template <typename _Tp, typename _Up>
3521  inline constexpr bool is_same_v = __is_same(_Tp, _Up);
3522 #else
3523 template <typename _Tp, typename _Up>
3524  inline constexpr bool is_same_v = false;
3525 template <typename _Tp>
3526  inline constexpr bool is_same_v<_Tp, _Tp> = true;
3527 #endif
3528 template <typename _Base, typename _Derived>
3529  inline constexpr bool is_base_of_v = __is_base_of(_Base, _Derived);
3530 #if _GLIBCXX_USE_BUILTIN_TRAIT(__is_convertible)
3531 template <typename _From, typename _To>
3532  inline constexpr bool is_convertible_v = __is_convertible(_From, _To);
3533 #else
3534 template <typename _From, typename _To>
3535  inline constexpr bool is_convertible_v = is_convertible<_From, _To>::value;
3536 #endif
3537 template<typename _Fn, typename... _Args>
3538  inline constexpr bool is_invocable_v = is_invocable<_Fn, _Args...>::value;
3539 template<typename _Fn, typename... _Args>
3540  inline constexpr bool is_nothrow_invocable_v
3541  = is_nothrow_invocable<_Fn, _Args...>::value;
3542 template<typename _Ret, typename _Fn, typename... _Args>
3543  inline constexpr bool is_invocable_r_v
3544  = is_invocable_r<_Ret, _Fn, _Args...>::value;
3545 template<typename _Ret, typename _Fn, typename... _Args>
3546  inline constexpr bool is_nothrow_invocable_r_v
3547  = is_nothrow_invocable_r<_Ret, _Fn, _Args...>::value;
3548 /// @}
3549 #endif // __cpp_lib_type_trait_variable_templates
3550 
3551 #ifdef __cpp_lib_has_unique_object_representations // C++ >= 17 && HAS_UNIQ_OBJ_REP
3552  /// has_unique_object_representations
3553  /// @since C++17
3554  template<typename _Tp>
3555  struct has_unique_object_representations
3556  : bool_constant<__has_unique_object_representations(
3557  remove_cv_t<remove_all_extents_t<_Tp>>
3558  )>
3559  {
3560  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{}),
3561  "template argument must be a complete class or an unbounded array");
3562  };
3563 
3564 # if __cpp_lib_type_trait_variable_templates // C++ >= 17
3565  /// @ingroup variable_templates
3566  template<typename _Tp>
3567  inline constexpr bool has_unique_object_representations_v
3568  = has_unique_object_representations<_Tp>::value;
3569 # endif
3570 #endif
3571 
3572 #ifdef __cpp_lib_is_aggregate // C++ >= 17 && builtin_is_aggregate
3573  /// is_aggregate - true if the type is an aggregate.
3574  /// @since C++17
3575  template<typename _Tp>
3576  struct is_aggregate
3577  : bool_constant<__is_aggregate(remove_cv_t<_Tp>)>
3578  { };
3579 
3580 # if __cpp_lib_type_trait_variable_templates // C++ >= 17
3581  /** is_aggregate_v - true if the type is an aggregate.
3582  * @ingroup variable_templates
3583  * @since C++17
3584  */
3585  template<typename _Tp>
3586  inline constexpr bool is_aggregate_v = __is_aggregate(remove_cv_t<_Tp>);
3587 # endif
3588 #endif
3589 
3590  /** * Remove references and cv-qualifiers.
3591  * @since C++20
3592  * @{
3593  */
3594 #ifdef __cpp_lib_remove_cvref // C++ >= 20
3595 # if _GLIBCXX_USE_BUILTIN_TRAIT(__remove_cvref)
3596  template<typename _Tp>
3597  struct remove_cvref
3598  { using type = __remove_cvref(_Tp); };
3599 # else
3600  template<typename _Tp>
3601  struct remove_cvref
3602  { using type = typename remove_cv<_Tp>::type; };
3603 
3604  template<typename _Tp>
3605  struct remove_cvref<_Tp&>
3606  { using type = typename remove_cv<_Tp>::type; };
3607 
3608  template<typename _Tp>
3609  struct remove_cvref<_Tp&&>
3610  { using type = typename remove_cv<_Tp>::type; };
3611 # endif
3612 
3613  template<typename _Tp>
3614  using remove_cvref_t = typename remove_cvref<_Tp>::type;
3615  /// @}
3616 #endif // __cpp_lib_remove_cvref
3617 
3618 #ifdef __cpp_lib_type_identity // C++ >= 20
3619  /** * Identity metafunction.
3620  * @since C++20
3621  * @{
3622  */
3623  template<typename _Tp>
3624  struct type_identity { using type = _Tp; };
3625 
3626  template<typename _Tp>
3627  using type_identity_t = typename type_identity<_Tp>::type;
3628  /// @}
3629 #endif
3630 
3631 #ifdef __cpp_lib_unwrap_ref // C++ >= 20
3632  /** Unwrap a reference_wrapper
3633  * @since C++20
3634  * @{
3635  */
3636  template<typename _Tp>
3637  struct unwrap_reference { using type = _Tp; };
3638 
3639  template<typename _Tp>
3640  struct unwrap_reference<reference_wrapper<_Tp>> { using type = _Tp&; };
3641 
3642  template<typename _Tp>
3643  using unwrap_reference_t = typename unwrap_reference<_Tp>::type;
3644  /// @}
3645 
3646  /** Decay type and if it's a reference_wrapper, unwrap it
3647  * @since C++20
3648  * @{
3649  */
3650  template<typename _Tp>
3651  struct unwrap_ref_decay { using type = unwrap_reference_t<decay_t<_Tp>>; };
3652 
3653  template<typename _Tp>
3654  using unwrap_ref_decay_t = typename unwrap_ref_decay<_Tp>::type;
3655  /// @}
3656 #endif // __cpp_lib_unwrap_ref
3657 
3658 #ifdef __cpp_lib_bounded_array_traits // C++ >= 20
3659  /// True for a type that is an array of known bound.
3660  /// @ingroup variable_templates
3661  /// @since C++20
3662 # if _GLIBCXX_USE_BUILTIN_TRAIT(__is_bounded_array)
3663  template<typename _Tp>
3664  inline constexpr bool is_bounded_array_v = __is_bounded_array(_Tp);
3665 # else
3666  template<typename _Tp>
3667  inline constexpr bool is_bounded_array_v = false;
3668 
3669  template<typename _Tp, size_t _Size>
3670  inline constexpr bool is_bounded_array_v<_Tp[_Size]> = true;
3671 # endif
3672 
3673  /// True for a type that is an array of unknown bound.
3674  /// @ingroup variable_templates
3675  /// @since C++20
3676  template<typename _Tp>
3677  inline constexpr bool is_unbounded_array_v = false;
3678 
3679  template<typename _Tp>
3680  inline constexpr bool is_unbounded_array_v<_Tp[]> = true;
3681 
3682  /// True for a type that is an array of known bound.
3683  /// @since C++20
3684  template<typename _Tp>
3685  struct is_bounded_array
3686  : public bool_constant<is_bounded_array_v<_Tp>>
3687  { };
3688 
3689  /// True for a type that is an array of unknown bound.
3690  /// @since C++20
3691  template<typename _Tp>
3692  struct is_unbounded_array
3693  : public bool_constant<is_unbounded_array_v<_Tp>>
3694  { };
3695 #endif // __cpp_lib_bounded_array_traits
3696 
3697 #if __has_builtin(__is_layout_compatible) && __cplusplus >= 202002L
3698 
3699  /// @since C++20
3700  template<typename _Tp, typename _Up>
3701  struct is_layout_compatible
3702  : bool_constant<__is_layout_compatible(_Tp, _Up)>
3703  { };
3704 
3705  /// @ingroup variable_templates
3706  /// @since C++20
3707  template<typename _Tp, typename _Up>
3708  constexpr bool is_layout_compatible_v
3709  = __is_layout_compatible(_Tp, _Up);
3710 
3711 #if __has_builtin(__builtin_is_corresponding_member)
3712 # ifndef __cpp_lib_is_layout_compatible
3713 # error "libstdc++ bug: is_corresponding_member and is_layout_compatible are provided but their FTM is not set"
3714 # endif
3715 
3716  /// @since C++20
3717  template<typename _S1, typename _S2, typename _M1, typename _M2>
3718  constexpr bool
3719  is_corresponding_member(_M1 _S1::*__m1, _M2 _S2::*__m2) noexcept
3720  { return __builtin_is_corresponding_member(__m1, __m2); }
3721 #endif
3722 #endif
3723 
3724 #if __has_builtin(__is_pointer_interconvertible_base_of) \
3725  && __cplusplus >= 202002L
3726  /// True if `_Derived` is standard-layout and has a base class of type `_Base`
3727  /// @since C++20
3728  template<typename _Base, typename _Derived>
3729  struct is_pointer_interconvertible_base_of
3730  : bool_constant<__is_pointer_interconvertible_base_of(_Base, _Derived)>
3731  { };
3732 
3733  /// @ingroup variable_templates
3734  /// @since C++20
3735  template<typename _Base, typename _Derived>
3736  constexpr bool is_pointer_interconvertible_base_of_v
3737  = __is_pointer_interconvertible_base_of(_Base, _Derived);
3738 
3739 #if __has_builtin(__builtin_is_pointer_interconvertible_with_class)
3740 # ifndef __cpp_lib_is_pointer_interconvertible
3741 # error "libstdc++ bug: is_pointer_interconvertible available but FTM is not set"
3742 # endif
3743 
3744  /// True if `__mp` points to the first member of a standard-layout type
3745  /// @returns true if `s.*__mp` is pointer-interconvertible with `s`
3746  /// @since C++20
3747  template<typename _Tp, typename _Mem>
3748  constexpr bool
3749  is_pointer_interconvertible_with_class(_Mem _Tp::*__mp) noexcept
3750  { return __builtin_is_pointer_interconvertible_with_class(__mp); }
3751 #endif
3752 #endif
3753 
3754 #ifdef __cpp_lib_is_scoped_enum // C++ >= 23
3755  /// True if the type is a scoped enumeration type.
3756  /// @since C++23
3757 
3758 # if _GLIBCXX_USE_BUILTIN_TRAIT(__is_scoped_enum)
3759  template<typename _Tp>
3760  struct is_scoped_enum
3761  : bool_constant<__is_scoped_enum(_Tp)>
3762  { };
3763 # else
3764  template<typename _Tp>
3765  struct is_scoped_enum
3766  : false_type
3767  { };
3768 
3769  template<typename _Tp>
3770  requires __is_enum(_Tp)
3771  && requires(remove_cv_t<_Tp> __t) { __t = __t; } // fails if incomplete
3772  struct is_scoped_enum<_Tp>
3773  : bool_constant<!requires(_Tp __t, void(*__f)(int)) { __f(__t); }>
3774  { };
3775 # endif
3776 
3777  /// @ingroup variable_templates
3778  /// @since C++23
3779 # if _GLIBCXX_USE_BUILTIN_TRAIT(__is_scoped_enum)
3780  template<typename _Tp>
3781  inline constexpr bool is_scoped_enum_v = __is_scoped_enum(_Tp);
3782 # else
3783  template<typename _Tp>
3784  inline constexpr bool is_scoped_enum_v = is_scoped_enum<_Tp>::value;
3785 # endif
3786 #endif
3787 
3788 #ifdef __cpp_lib_reference_from_temporary // C++ >= 23 && ref_{converts,constructs}_from_temp
3789  /// True if _Tp is a reference type, a _Up value can be bound to _Tp in
3790  /// direct-initialization, and a temporary object would be bound to
3791  /// the reference, false otherwise.
3792  /// @since C++23
3793  template<typename _Tp, typename _Up>
3794  struct reference_constructs_from_temporary
3795  : public bool_constant<__reference_constructs_from_temporary(_Tp, _Up)>
3796  {
3797  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{})
3798  && std::__is_complete_or_unbounded(__type_identity<_Up>{}),
3799  "template argument must be a complete class or an unbounded array");
3800  };
3801 
3802  /// True if _Tp is a reference type, a _Up value can be bound to _Tp in
3803  /// copy-initialization, and a temporary object would be bound to
3804  /// the reference, false otherwise.
3805  /// @since C++23
3806  template<typename _Tp, typename _Up>
3807  struct reference_converts_from_temporary
3808  : public bool_constant<__reference_converts_from_temporary(_Tp, _Up)>
3809  {
3810  static_assert(std::__is_complete_or_unbounded(__type_identity<_Tp>{})
3811  && std::__is_complete_or_unbounded(__type_identity<_Up>{}),
3812  "template argument must be a complete class or an unbounded array");
3813  };
3814 
3815  /// @ingroup variable_templates
3816  /// @since C++23
3817  template<typename _Tp, typename _Up>
3818  inline constexpr bool reference_constructs_from_temporary_v
3819  = reference_constructs_from_temporary<_Tp, _Up>::value;
3820 
3821  /// @ingroup variable_templates
3822  /// @since C++23
3823  template<typename _Tp, typename _Up>
3824  inline constexpr bool reference_converts_from_temporary_v
3825  = reference_converts_from_temporary<_Tp, _Up>::value;
3826 #endif // __cpp_lib_reference_from_temporary
3827 
3828 #ifdef __cpp_lib_is_constant_evaluated // C++ >= 20 && HAVE_IS_CONST_EVAL
3829  /// Returns true only when called during constant evaluation.
3830  /// @since C++20
3831  constexpr inline bool
3832  is_constant_evaluated() noexcept
3833  {
3834 #if __cpp_if_consteval >= 202106L
3835  if consteval { return true; } else { return false; }
3836 #else
3837  return __builtin_is_constant_evaluated();
3838 #endif
3839  }
3840 #endif
3841 
3842 #if __cplusplus >= 202002L
3843  /// @cond undocumented
3844  template<typename _From, typename _To>
3845  using __copy_cv = typename __match_cv_qualifiers<_From, _To>::__type;
3846 
3847  template<typename _Xp, typename _Yp>
3848  using __cond_res
3849  = decltype(false ? declval<_Xp(&)()>()() : declval<_Yp(&)()>()());
3850 
3851  template<typename _Ap, typename _Bp, typename = void>
3852  struct __common_ref_impl
3853  { };
3854 
3855  // [meta.trans.other], COMMON-REF(A, B)
3856  template<typename _Ap, typename _Bp>
3857  using __common_ref = typename __common_ref_impl<_Ap, _Bp>::type;
3858 
3859  // COND-RES(COPYCV(X, Y) &, COPYCV(Y, X) &)
3860  template<typename _Xp, typename _Yp>
3861  using __condres_cvref
3862  = __cond_res<__copy_cv<_Xp, _Yp>&, __copy_cv<_Yp, _Xp>&>;
3863 
3864  // If A and B are both lvalue reference types, ...
3865  template<typename _Xp, typename _Yp>
3866  struct __common_ref_impl<_Xp&, _Yp&, __void_t<__condres_cvref<_Xp, _Yp>>>
3867  : enable_if<is_reference_v<__condres_cvref<_Xp, _Yp>>,
3868  __condres_cvref<_Xp, _Yp>>
3869  { };
3870 
3871  // let C be remove_reference_t<COMMON-REF(X&, Y&)>&&
3872  template<typename _Xp, typename _Yp>
3873  using __common_ref_C = remove_reference_t<__common_ref<_Xp&, _Yp&>>&&;
3874 
3875  // If A and B are both rvalue reference types, ...
3876  template<typename _Xp, typename _Yp>
3877  struct __common_ref_impl<_Xp&&, _Yp&&,
3878  _Require<is_convertible<_Xp&&, __common_ref_C<_Xp, _Yp>>,
3879  is_convertible<_Yp&&, __common_ref_C<_Xp, _Yp>>>>
3880  { using type = __common_ref_C<_Xp, _Yp>; };
3881 
3882  // let D be COMMON-REF(const X&, Y&)
3883  template<typename _Xp, typename _Yp>
3884  using __common_ref_D = __common_ref<const _Xp&, _Yp&>;
3885 
3886  // If A is an rvalue reference and B is an lvalue reference, ...
3887  template<typename _Xp, typename _Yp>
3888  struct __common_ref_impl<_Xp&&, _Yp&,
3889  _Require<is_convertible<_Xp&&, __common_ref_D<_Xp, _Yp>>>>
3890  { using type = __common_ref_D<_Xp, _Yp>; };
3891 
3892  // If A is an lvalue reference and B is an rvalue reference, ...
3893  template<typename _Xp, typename _Yp>
3894  struct __common_ref_impl<_Xp&, _Yp&&>
3895  : __common_ref_impl<_Yp&&, _Xp&>
3896  { };
3897  /// @endcond
3898 
3899  template<typename _Tp, typename _Up,
3900  template<typename> class _TQual, template<typename> class _UQual>
3901  struct basic_common_reference
3902  { };
3903 
3904  /// @cond undocumented
3905  template<typename _Tp>
3906  struct __xref
3907  { template<typename _Up> using __type = __copy_cv<_Tp, _Up>; };
3908 
3909  template<typename _Tp>
3910  struct __xref<_Tp&>
3911  { template<typename _Up> using __type = __copy_cv<_Tp, _Up>&; };
3912 
3913  template<typename _Tp>
3914  struct __xref<_Tp&&>
3915  { template<typename _Up> using __type = __copy_cv<_Tp, _Up>&&; };
3916 
3917  template<typename _Tp1, typename _Tp2>
3918  using __basic_common_ref
3919  = typename basic_common_reference<remove_cvref_t<_Tp1>,
3920  remove_cvref_t<_Tp2>,
3921  __xref<_Tp1>::template __type,
3922  __xref<_Tp2>::template __type>::type;
3923  /// @endcond
3924 
3925  template<typename... _Tp>
3926  struct common_reference;
3927 
3928  template<typename... _Tp>
3929  using common_reference_t = typename common_reference<_Tp...>::type;
3930 
3931  // If sizeof...(T) is zero, there shall be no member type.
3932  template<>
3933  struct common_reference<>
3934  { };
3935 
3936  // If sizeof...(T) is one ...
3937  template<typename _Tp0>
3938  struct common_reference<_Tp0>
3939  { using type = _Tp0; };
3940 
3941  /// @cond undocumented
3942  template<typename _Tp1, typename _Tp2, int _Bullet = 1, typename = void>
3943  struct __common_reference_impl
3944  : __common_reference_impl<_Tp1, _Tp2, _Bullet + 1>
3945  { };
3946 
3947  // If sizeof...(T) is two ...
3948  template<typename _Tp1, typename _Tp2>
3949  struct common_reference<_Tp1, _Tp2>
3950  : __common_reference_impl<_Tp1, _Tp2>
3951  { };
3952 
3953  // If T1 and T2 are reference types and COMMON-REF(T1, T2) is well-formed, ...
3954  template<typename _Tp1, typename _Tp2>
3955  struct __common_reference_impl<_Tp1&, _Tp2&, 1,
3956  void_t<__common_ref<_Tp1&, _Tp2&>>>
3957  { using type = __common_ref<_Tp1&, _Tp2&>; };
3958 
3959  template<typename _Tp1, typename _Tp2>
3960  struct __common_reference_impl<_Tp1&&, _Tp2&&, 1,
3961  void_t<__common_ref<_Tp1&&, _Tp2&&>>>
3962  { using type = __common_ref<_Tp1&&, _Tp2&&>; };
3963 
3964  template<typename _Tp1, typename _Tp2>
3965  struct __common_reference_impl<_Tp1&, _Tp2&&, 1,
3966  void_t<__common_ref<_Tp1&, _Tp2&&>>>
3967  { using type = __common_ref<_Tp1&, _Tp2&&>; };
3968 
3969  template<typename _Tp1, typename _Tp2>
3970  struct __common_reference_impl<_Tp1&&, _Tp2&, 1,
3971  void_t<__common_ref<_Tp1&&, _Tp2&>>>
3972  { using type = __common_ref<_Tp1&&, _Tp2&>; };
3973 
3974  // Otherwise, if basic_common_reference<...>::type is well-formed, ...
3975  template<typename _Tp1, typename _Tp2>
3976  struct __common_reference_impl<_Tp1, _Tp2, 2,
3977  void_t<__basic_common_ref<_Tp1, _Tp2>>>
3978  { using type = __basic_common_ref<_Tp1, _Tp2>; };
3979 
3980  // Otherwise, if COND-RES(T1, T2) is well-formed, ...
3981  template<typename _Tp1, typename _Tp2>
3982  struct __common_reference_impl<_Tp1, _Tp2, 3,
3983  void_t<__cond_res<_Tp1, _Tp2>>>
3984  { using type = __cond_res<_Tp1, _Tp2>; };
3985 
3986  // Otherwise, if common_type_t<T1, T2> is well-formed, ...
3987  template<typename _Tp1, typename _Tp2>
3988  struct __common_reference_impl<_Tp1, _Tp2, 4,
3989  void_t<common_type_t<_Tp1, _Tp2>>>
3990  { using type = common_type_t<_Tp1, _Tp2>; };
3991 
3992  // Otherwise, there shall be no member type.
3993  template<typename _Tp1, typename _Tp2>
3994  struct __common_reference_impl<_Tp1, _Tp2, 5, void>
3995  { };
3996 
3997  // Otherwise, if sizeof...(T) is greater than two, ...
3998  template<typename _Tp1, typename _Tp2, typename... _Rest>
3999  struct common_reference<_Tp1, _Tp2, _Rest...>
4000  : __common_type_fold<common_reference<_Tp1, _Tp2>,
4001  __common_type_pack<_Rest...>>
4002  { };
4003 
4004  // Reuse __common_type_fold for common_reference<T1, T2, Rest...>
4005  template<typename _Tp1, typename _Tp2, typename... _Rest>
4006  struct __common_type_fold<common_reference<_Tp1, _Tp2>,
4007  __common_type_pack<_Rest...>,
4008  void_t<common_reference_t<_Tp1, _Tp2>>>
4009  : public common_reference<common_reference_t<_Tp1, _Tp2>, _Rest...>
4010  { };
4011  /// @endcond
4012 
4013 #endif // C++2a
4014 
4015  /// @} group metaprogramming
4016 
4017 _GLIBCXX_END_NAMESPACE_VERSION
4018 } // namespace std
4019 
4020 #endif // C++11
4021 
4022 #endif // _GLIBCXX_TYPE_TRAITS