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Edit File : stl_algobase.h \| Size : 49.31 KB
// Core algorithmic facilities -- C++ -- // Copyright (C) 2001-2018 Free Software Foundation, Inc. // // This file is part of the GNU ISO C++ Library. This library is free // software; you can redistribute it and/or modify it under the // terms of the GNU General Public License as published by the // Free Software Foundation; either version 3, or (at your option) // any later version. // This library is distributed in the hope that it will be useful, // but WITHOUT ANY WARRANTY; without even the implied warranty of // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the // GNU General Public License for more details. // Under Section 7 of GPL version 3, you are granted additional // permissions described in the GCC Runtime Library Exception, version // 3.1, as published by the Free Software Foundation. // You should have received a copy of the GNU General Public License and // a copy of the GCC Runtime Library Exception along with this program; // see the files COPYING3 and COPYING.RUNTIME respectively. If not, see // <http://www.gnu.org/licenses/>. /* * * Copyright (c) 1994 * Hewlett-Packard Company * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Hewlett-Packard Company makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. * * * Copyright (c) 1996-1998 * Silicon Graphics Computer Systems, Inc. * * Permission to use, copy, modify, distribute and sell this software * and its documentation for any purpose is hereby granted without fee, * provided that the above copyright notice appear in all copies and * that both that copyright notice and this permission notice appear * in supporting documentation. Silicon Graphics makes no * representations about the suitability of this software for any * purpose. It is provided "as is" without express or implied warranty. / /* @file bits/stl_algobase.h * This is an internal header file, included by other library headers. * Do not attempt to use it directly. @headername{algorithm} / #ifndef _STL_ALGOBASE_H #define _STL_ALGOBASE_H 1 #include <bits/c++config.h> #include <bits/functexcept.h> #include <bits/cpp_type_traits.h> #include <ext/type_traits.h> #include <ext/numeric_traits.h> #include <bits/stl_pair.h> #include <bits/stl_iterator_base_types.h> #include <bits/stl_iterator_base_funcs.h> #include <bits/stl_iterator.h> #include <bits/concept_check.h> #include <debug/debug.h> #include <bits/move.h> // For std::swap #include <bits/predefined_ops.h> namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION #if __cplusplus < 201103L // See http://gcc.gnu.org/ml/libstdc++/2004-08/msg00167.html: in a // nutshell, we are partially implementing the resolution of DR 187, // when it's safe, i.e., the value_types are equal. template<bool _BoolType> struct __iter_swap { template<typename _ForwardIterator1, typename _ForwardIterator2> static void iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b) { typedef typename iterator_traits<_ForwardIterator1>::value_type _ValueType1; _ValueType1 __tmp = __a; __a = __b; __b = __tmp; } }; template<> struct __iter_swap<true> { template<typename _ForwardIterator1, typename _ForwardIterator2> static void iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b) { swap(__a, __b); } }; #endif /* * @brief Swaps the contents of two iterators. * @ingroup mutating_algorithms * @param __a An iterator. * @param __b Another iterator. * @return Nothing. * * This function swaps the values pointed to by two iterators, not the * iterators themselves. / template<typename _ForwardIterator1, typename _ForwardIterator2> inline void iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b) { // concept requirements __glibcxx_function_requires(_Mutable_ForwardIteratorConcept< _ForwardIterator1>) __glibcxx_function_requires(_Mutable_ForwardIteratorConcept< _ForwardIterator2>) #if __cplusplus < 201103L typedef typename iterator_traits<_ForwardIterator1>::value_type _ValueType1; typedef typename iterator_traits<_ForwardIterator2>::value_type _ValueType2; __glibcxx_function_requires(_ConvertibleConcept<_ValueType1, _ValueType2>) __glibcxx_function_requires(_ConvertibleConcept<_ValueType2, _ValueType1>) typedef typename iterator_traits<_ForwardIterator1>::reference _ReferenceType1; typedef typename iterator_traits<_ForwardIterator2>::reference _ReferenceType2; std::__iter_swap<__are_same<_ValueType1, _ValueType2>::__value && __are_same<_ValueType1&, _ReferenceType1>::__value && __are_same<_ValueType2&, _ReferenceType2>::__value>:: iter_swap(__a, __b); #else swap(__a, __b); #endif } /* * @brief Swap the elements of two sequences. * @ingroup mutating_algorithms * @param __first1 A forward iterator. * @param __last1 A forward iterator. * @param __first2 A forward iterator. * @return An iterator equal to @p first2+(last1-first1). * * Swaps each element in the range @p [first1,last1) with the * corresponding element in the range @p [first2,(last1-first1)). * The ranges must not overlap. / template<typename _ForwardIterator1, typename _ForwardIterator2> _ForwardIterator2 swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1, _ForwardIterator2 __first2) { // concept requirements __glibcxx_function_requires(_Mutable_ForwardIteratorConcept< _ForwardIterator1>) __glibcxx_function_requires(_Mutable_ForwardIteratorConcept< _ForwardIterator2>) __glibcxx_requires_valid_range(__first1, __last1); for (; __first1 != __last1; ++__first1, (void)++__first2) std::iter_swap(__first1, __first2); return __first2; } /* * @brief This does what you think it does. * @ingroup sorting_algorithms * @param __a A thing of arbitrary type. * @param __b Another thing of arbitrary type. * @return The lesser of the parameters. * * This is the simple classic generic implementation. It will work on * temporary expressions, since they are only evaluated once, unlike a * preprocessor macro. / template<typename _Tp> _GLIBCXX14_CONSTEXPR inline const _Tp& min(const _Tp& __a, const _Tp& __b) { // concept requirements __glibcxx_function_requires(_LessThanComparableConcept<_Tp>) //return __b < __a ? __b : __a; if (__b < __a) return __b; return __a; } /* * @brief This does what you think it does. * @ingroup sorting_algorithms * @param __a A thing of arbitrary type. * @param __b Another thing of arbitrary type. * @return The greater of the parameters. * * This is the simple classic generic implementation. It will work on * temporary expressions, since they are only evaluated once, unlike a * preprocessor macro. / template<typename _Tp> _GLIBCXX14_CONSTEXPR inline const _Tp& max(const _Tp& __a, const _Tp& __b) { // concept requirements __glibcxx_function_requires(_LessThanComparableConcept<_Tp>) //return __a < __b ? __b : __a; if (__a < __b) return __b; return __a; } /* * @brief This does what you think it does. * @ingroup sorting_algorithms * @param __a A thing of arbitrary type. * @param __b Another thing of arbitrary type. * @param __comp A @link comparison_functors comparison functor@endlink. * @return The lesser of the parameters. * * This will work on temporary expressions, since they are only evaluated * once, unlike a preprocessor macro. / template<typename _Tp, typename _Compare> _GLIBCXX14_CONSTEXPR inline const _Tp& min(const _Tp& __a, const _Tp& __b, _Compare __comp) { //return __comp(__b, __a) ? __b : __a; if (__comp(__b, __a)) return __b; return __a; } /* * @brief This does what you think it does. * @ingroup sorting_algorithms * @param __a A thing of arbitrary type. * @param __b Another thing of arbitrary type. * @param __comp A @link comparison_functors comparison functor@endlink. * @return The greater of the parameters. * * This will work on temporary expressions, since they are only evaluated * once, unlike a preprocessor macro. / template<typename _Tp, typename _Compare> _GLIBCXX14_CONSTEXPR inline const _Tp& max(const _Tp& __a, const _Tp& __b, _Compare __comp) { //return __comp(__a, __b) ? __b : __a; if (__comp(__a, __b)) return __b; return __a; } // Fallback implementation of the function in bits/stl_iterator.h used to // remove the __normal_iterator wrapper. See copy, fill, ... template<typename _Iterator> inline _Iterator __niter_base(_Iterator __it) { return __it; } // All of these auxiliary structs serve two purposes. (1) Replace // calls to copy with memmove whenever possible. (Memmove, not memcpy, // because the input and output ranges are permitted to overlap.) // (2) If we're using random access iterators, then write the loop as // a for loop with an explicit count. template<bool, bool, typename> struct __copy_move { template<typename _II, typename _OI> static _OI __copy_m(_II __first, _II __last, _OI __result) { for (; __first != __last; ++__result, (void)++__first) __result = __first; return __result; } }; #if __cplusplus >= 201103L template<typename _Category> struct __copy_move<true, false, _Category> { template<typename _II, typename _OI> static _OI __copy_m(_II __first, _II __last, _OI __result) { for (; __first != __last; ++__result, (void)++__first) __result = std::move(__first); return __result; } }; #endif template<> struct __copy_move<false, false, random_access_iterator_tag> { template<typename _II, typename _OI> static _OI __copy_m(_II __first, _II __last, _OI __result) { typedef typename iterator_traits<_II>::difference_type _Distance; for(_Distance __n = __last - __first; __n > 0; --__n) { __result = __first; ++__first; ++__result; } return __result; } }; #if __cplusplus >= 201103L template<> struct __copy_move<true, false, random_access_iterator_tag> { template<typename _II, typename _OI> static _OI __copy_m(_II __first, _II __last, _OI __result) { typedef typename iterator_traits<_II>::difference_type _Distance; for(_Distance __n = __last - __first; __n > 0; --__n) { __result = std::move(__first); ++__first; ++__result; } return __result; } }; #endif template<bool _IsMove> struct __copy_move<_IsMove, true, random_access_iterator_tag> { template<typename _Tp> static _Tp __copy_m(const _Tp* __first, const _Tp* __last, _Tp* __result) { #if __cplusplus >= 201103L using __assignable = conditional<_IsMove, is_move_assignable<_Tp>, is_copy_assignable<_Tp>>; // trivial types can have deleted assignment static_assert( __assignable::type::value, "type is not assignable" ); #endif const ptrdiff_t _Num = __last - __first; if (_Num) __builtin_memmove(__result, __first, sizeof(_Tp) * _Num); return __result + _Num; } }; template<bool _IsMove, typename _II, typename _OI> inline _OI __copy_move_a(_II __first, _II __last, _OI __result) { typedef typename iterator_traits<_II>::value_type _ValueTypeI; typedef typename iterator_traits<_OI>::value_type _ValueTypeO; typedef typename iterator_traits<_II>::iterator_category _Category; const bool __simple = (__is_trivial(_ValueTypeI) && __is_pointer<_II>::__value && __is_pointer<_OI>::__value && __are_same<_ValueTypeI, _ValueTypeO>::__value); return std::__copy_move<_IsMove, __simple, _Category>::__copy_m(__first, __last, __result); } // Helpers for streambuf iterators (either istream or ostream). // NB: avoid including <iosfwd>, relatively large. template<typename _CharT> struct char_traits; template<typename _CharT, typename _Traits> class istreambuf_iterator; template<typename _CharT, typename _Traits> class ostreambuf_iterator; template<bool _IsMove, typename _CharT> typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value, ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type __copy_move_a2(_CharT, _CharT, ostreambuf_iterator<_CharT, char_traits<_CharT> >); template<bool _IsMove, typename _CharT> typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value, ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type __copy_move_a2(const _CharT, const _CharT, ostreambuf_iterator<_CharT, char_traits<_CharT> >); template<bool _IsMove, typename _CharT> typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value, _CharT>::__type __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >, istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT); template<bool _IsMove, typename _II, typename _OI> inline _OI __copy_move_a2(_II __first, _II __last, _OI __result) { return _OI(std::__copy_move_a<_IsMove>(std::__niter_base(__first), std::__niter_base(__last), std::__niter_base(__result))); } /** * @brief Copies the range [first,last) into result. * @ingroup mutating_algorithms * @param __first An input iterator. * @param __last An input iterator. * @param __result An output iterator. * @return result + (first - last) * * This inline function will boil down to a call to @c memmove whenever * possible. Failing that, if random access iterators are passed, then the * loop count will be known (and therefore a candidate for compiler * optimizations such as unrolling). Result may not be contained within * [first,last); the copy_backward function should be used instead. * * Note that the end of the output range is permitted to be contained * within [first,last). / template<typename _II, typename _OI> inline _OI copy(_II __first, _II __last, _OI __result) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_II>) __glibcxx_function_requires(_OutputIteratorConcept<_OI, typename iterator_traits<_II>::value_type>) __glibcxx_requires_valid_range(__first, __last); return (std::__copy_move_a2<__is_move_iterator<_II>::__value> (std::__miter_base(__first), std::__miter_base(__last), __result)); } #if __cplusplus >= 201103L /* * @brief Moves the range [first,last) into result. * @ingroup mutating_algorithms * @param __first An input iterator. * @param __last An input iterator. * @param __result An output iterator. * @return result + (first - last) * * This inline function will boil down to a call to @c memmove whenever * possible. Failing that, if random access iterators are passed, then the * loop count will be known (and therefore a candidate for compiler * optimizations such as unrolling). Result may not be contained within * [first,last); the move_backward function should be used instead. * * Note that the end of the output range is permitted to be contained * within [first,last). / template<typename _II, typename _OI> inline _OI move(_II __first, _II __last, _OI __result) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_II>) __glibcxx_function_requires(_OutputIteratorConcept<_OI, typename iterator_traits<_II>::value_type>) __glibcxx_requires_valid_range(__first, __last); return std::__copy_move_a2<true>(std::__miter_base(__first), std::__miter_base(__last), __result); } #define _GLIBCXX_MOVE3(_Tp, _Up, _Vp) std::move(_Tp, _Up, _Vp) #else #define _GLIBCXX_MOVE3(_Tp, _Up, _Vp) std::copy(_Tp, _Up, _Vp) #endif template<bool, bool, typename> struct __copy_move_backward { template<typename _BI1, typename _BI2> static _BI2 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result) { while (__first != __last) --__result = --__last; return __result; } }; #if __cplusplus >= 201103L template<typename _Category> struct __copy_move_backward<true, false, _Category> { template<typename _BI1, typename _BI2> static _BI2 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result) { while (__first != __last) --__result = std::move(--__last); return __result; } }; #endif template<> struct __copy_move_backward<false, false, random_access_iterator_tag> { template<typename _BI1, typename _BI2> static _BI2 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result) { typename iterator_traits<_BI1>::difference_type __n; for (__n = __last - __first; __n > 0; --__n) --__result = --__last; return __result; } }; #if __cplusplus >= 201103L template<> struct __copy_move_backward<true, false, random_access_iterator_tag> { template<typename _BI1, typename _BI2> static _BI2 __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result) { typename iterator_traits<_BI1>::difference_type __n; for (__n = __last - __first; __n > 0; --__n) --__result = std::move(--__last); return __result; } }; #endif template<bool _IsMove> struct __copy_move_backward<_IsMove, true, random_access_iterator_tag> { template<typename _Tp> static _Tp __copy_move_b(const _Tp* __first, const _Tp* __last, _Tp* __result) { #if __cplusplus >= 201103L using __assignable = conditional<_IsMove, is_move_assignable<_Tp>, is_copy_assignable<_Tp>>; // trivial types can have deleted assignment static_assert( __assignable::type::value, "type is not assignable" ); #endif const ptrdiff_t _Num = __last - __first; if (_Num) __builtin_memmove(__result - _Num, __first, sizeof(_Tp) * _Num); return __result - _Num; } }; template<bool _IsMove, typename _BI1, typename _BI2> inline _BI2 __copy_move_backward_a(_BI1 __first, _BI1 __last, _BI2 __result) { typedef typename iterator_traits<_BI1>::value_type _ValueType1; typedef typename iterator_traits<_BI2>::value_type _ValueType2; typedef typename iterator_traits<_BI1>::iterator_category _Category; const bool __simple = (__is_trivial(_ValueType1) && __is_pointer<_BI1>::__value && __is_pointer<_BI2>::__value && __are_same<_ValueType1, _ValueType2>::__value); return std::__copy_move_backward<_IsMove, __simple, _Category>::__copy_move_b(__first, __last, __result); } template<bool _IsMove, typename _BI1, typename _BI2> inline _BI2 __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result) { return _BI2(std::__copy_move_backward_a<_IsMove> (std::__niter_base(__first), std::__niter_base(__last), std::__niter_base(__result))); } /** * @brief Copies the range [first,last) into result. * @ingroup mutating_algorithms * @param __first A bidirectional iterator. * @param __last A bidirectional iterator. * @param __result A bidirectional iterator. * @return result - (first - last) * * The function has the same effect as copy, but starts at the end of the * range and works its way to the start, returning the start of the result. * This inline function will boil down to a call to @c memmove whenever * possible. Failing that, if random access iterators are passed, then the * loop count will be known (and therefore a candidate for compiler * optimizations such as unrolling). * * Result may not be in the range (first,last]. Use copy instead. Note * that the start of the output range may overlap [first,last). / template<typename _BI1, typename _BI2> inline _BI2 copy_backward(_BI1 __first, _BI1 __last, _BI2 __result) { // concept requirements __glibcxx_function_requires(_BidirectionalIteratorConcept<_BI1>) __glibcxx_function_requires(_Mutable_BidirectionalIteratorConcept<_BI2>) __glibcxx_function_requires(_ConvertibleConcept< typename iterator_traits<_BI1>::value_type, typename iterator_traits<_BI2>::value_type>) __glibcxx_requires_valid_range(__first, __last); return (std::__copy_move_backward_a2<__is_move_iterator<_BI1>::__value> (std::__miter_base(__first), std::__miter_base(__last), __result)); } #if __cplusplus >= 201103L /* * @brief Moves the range [first,last) into result. * @ingroup mutating_algorithms * @param __first A bidirectional iterator. * @param __last A bidirectional iterator. * @param __result A bidirectional iterator. * @return result - (first - last) * * The function has the same effect as move, but starts at the end of the * range and works its way to the start, returning the start of the result. * This inline function will boil down to a call to @c memmove whenever * possible. Failing that, if random access iterators are passed, then the * loop count will be known (and therefore a candidate for compiler * optimizations such as unrolling). * * Result may not be in the range (first,last]. Use move instead. Note * that the start of the output range may overlap [first,last). / template<typename _BI1, typename _BI2> inline _BI2 move_backward(_BI1 __first, _BI1 __last, _BI2 __result) { // concept requirements __glibcxx_function_requires(_BidirectionalIteratorConcept<_BI1>) __glibcxx_function_requires(_Mutable_BidirectionalIteratorConcept<_BI2>) __glibcxx_function_requires(_ConvertibleConcept< typename iterator_traits<_BI1>::value_type, typename iterator_traits<_BI2>::value_type>) __glibcxx_requires_valid_range(__first, __last); return std::__copy_move_backward_a2<true>(std::__miter_base(__first), std::__miter_base(__last), __result); } #define _GLIBCXX_MOVE_BACKWARD3(_Tp, _Up, _Vp) std::move_backward(_Tp, _Up, _Vp) #else #define _GLIBCXX_MOVE_BACKWARD3(_Tp, _Up, _Vp) std::copy_backward(_Tp, _Up, _Vp) #endif template<typename _ForwardIterator, typename _Tp> inline typename __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type __fill_a(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value) { for (; __first != __last; ++__first) __first = __value; } template<typename _ForwardIterator, typename _Tp> inline typename __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type __fill_a(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value) { const _Tp __tmp = __value; for (; __first != __last; ++__first) __first = __tmp; } // Specialization: for char types we can use memset. template<typename _Tp> inline typename __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type __fill_a(_Tp __first, _Tp* __last, const _Tp& __c) { const _Tp __tmp = __c; if (const size_t __len = __last - __first) __builtin_memset(__first, static_cast<unsigned char>(__tmp), __len); } /** * @brief Fills the range [first,last) with copies of value. * @ingroup mutating_algorithms * @param __first A forward iterator. * @param __last A forward iterator. * @param __value A reference-to-const of arbitrary type. * @return Nothing. * * This function fills a range with copies of the same value. For char * types filling contiguous areas of memory, this becomes an inline call * to @c memset or @c wmemset. / template<typename _ForwardIterator, typename _Tp> inline void fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value) { // concept requirements __glibcxx_function_requires(_Mutable_ForwardIteratorConcept< _ForwardIterator>) __glibcxx_requires_valid_range(__first, __last); std::__fill_a(std::__niter_base(__first), std::__niter_base(__last), __value); } template<typename _OutputIterator, typename _Size, typename _Tp> inline typename __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value) { for (__decltype(__n + 0) __niter = __n; __niter > 0; --__niter, (void) ++__first) __first = __value; return __first; } template<typename _OutputIterator, typename _Size, typename _Tp> inline typename __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value) { const _Tp __tmp = __value; for (__decltype(__n + 0) __niter = __n; __niter > 0; --__niter, (void) ++__first) __first = __tmp; return __first; } template<typename _Size, typename _Tp> inline typename __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, _Tp>::__type __fill_n_a(_Tp* __first, _Size __n, const _Tp& __c) { std::__fill_a(__first, __first + __n, __c); return __first + __n; } /** * @brief Fills the range [first,first+n) with copies of value. * @ingroup mutating_algorithms * @param __first An output iterator. * @param __n The count of copies to perform. * @param __value A reference-to-const of arbitrary type. * @return The iterator at first+n. * * This function fills a range with copies of the same value. For char * types filling contiguous areas of memory, this becomes an inline call * to @c memset or @ wmemset. * * _GLIBCXX_RESOLVE_LIB_DEFECTS * DR 865. More algorithms that throw away information / template<typename _OI, typename _Size, typename _Tp> inline _OI fill_n(_OI __first, _Size __n, const _Tp& __value) { // concept requirements __glibcxx_function_requires(_OutputIteratorConcept<_OI, _Tp>) return _OI(std::__fill_n_a(std::__niter_base(__first), __n, __value)); } template<bool _BoolType> struct __equal { template<typename _II1, typename _II2> static bool equal(_II1 __first1, _II1 __last1, _II2 __first2) { for (; __first1 != __last1; ++__first1, (void) ++__first2) if (!(__first1 == __first2)) return false; return true; } }; template<> struct __equal<true> { template<typename _Tp> static bool equal(const _Tp __first1, const _Tp* __last1, const _Tp* __first2) { if (const size_t __len = (__last1 - __first1)) return !__builtin_memcmp(__first1, __first2, sizeof(_Tp) * __len); return true; } }; template<typename _II1, typename _II2> inline bool __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2) { typedef typename iterator_traits<_II1>::value_type _ValueType1; typedef typename iterator_traits<_II2>::value_type _ValueType2; const bool __simple = ((__is_integer<_ValueType1>::__value \|\| __is_pointer<_ValueType1>::__value) && __is_pointer<_II1>::__value && __is_pointer<_II2>::__value && __are_same<_ValueType1, _ValueType2>::__value); return std::__equal<__simple>::equal(__first1, __last1, __first2); } template<typename, typename> struct __lc_rai { template<typename _II1, typename _II2> static _II1 __newlast1(_II1, _II1 __last1, _II2, _II2) { return __last1; } template<typename _II> static bool __cnd2(_II __first, _II __last) { return __first != __last; } }; template<> struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag> { template<typename _RAI1, typename _RAI2> static _RAI1 __newlast1(_RAI1 __first1, _RAI1 __last1, _RAI2 __first2, _RAI2 __last2) { const typename iterator_traits<_RAI1>::difference_type __diff1 = __last1 - __first1; const typename iterator_traits<_RAI2>::difference_type __diff2 = __last2 - __first2; return __diff2 < __diff1 ? __first1 + __diff2 : __last1; } template<typename _RAI> static bool __cnd2(_RAI, _RAI) { return true; } }; template<typename _II1, typename _II2, typename _Compare> bool __lexicographical_compare_impl(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2, _Compare __comp) { typedef typename iterator_traits<_II1>::iterator_category _Category1; typedef typename iterator_traits<_II2>::iterator_category _Category2; typedef std::__lc_rai<_Category1, _Category2> __rai_type; __last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2); for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2); ++__first1, (void)++__first2) { if (__comp(__first1, __first2)) return true; if (__comp(__first2, __first1)) return false; } return __first1 == __last1 && __first2 != __last2; } template<bool _BoolType> struct __lexicographical_compare { template<typename _II1, typename _II2> static bool __lc(_II1, _II1, _II2, _II2); }; template<bool _BoolType> template<typename _II1, typename _II2> bool __lexicographical_compare<_BoolType>:: __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2) { return std::__lexicographical_compare_impl(__first1, __last1, __first2, __last2, __gnu_cxx::__ops::__iter_less_iter()); } template<> struct __lexicographical_compare<true> { template<typename _Tp, typename _Up> static bool __lc(const _Tp* __first1, const _Tp* __last1, const _Up* __first2, const _Up* __last2) { const size_t __len1 = __last1 - __first1; const size_t __len2 = __last2 - __first2; if (const size_t __len = std::min(__len1, __len2)) if (int __result = __builtin_memcmp(__first1, __first2, __len)) return __result < 0; return __len1 < __len2; } }; template<typename _II1, typename _II2> inline bool __lexicographical_compare_aux(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2) { typedef typename iterator_traits<_II1>::value_type _ValueType1; typedef typename iterator_traits<_II2>::value_type _ValueType2; const bool __simple = (__is_byte<_ValueType1>::__value && __is_byte<_ValueType2>::__value && !__gnu_cxx::__numeric_traits<_ValueType1>::__is_signed && !__gnu_cxx::__numeric_traits<_ValueType2>::__is_signed && __is_pointer<_II1>::__value && __is_pointer<_II2>::__value); return std::__lexicographical_compare<__simple>::__lc(__first1, __last1, __first2, __last2); } template<typename _ForwardIterator, typename _Tp, typename _Compare> _ForwardIterator __lower_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __val, _Compare __comp) { typedef typename iterator_traits<_ForwardIterator>::difference_type _DistanceType; _DistanceType __len = std::distance(__first, __last); while (__len > 0) { _DistanceType __half = __len >> 1; _ForwardIterator __middle = __first; std::advance(__middle, __half); if (__comp(__middle, __val)) { __first = __middle; ++__first; __len = __len - __half - 1; } else __len = __half; } return __first; } /** * @brief Finds the first position in which @a val could be inserted * without changing the ordering. * @param __first An iterator. * @param __last Another iterator. * @param __val The search term. * @return An iterator pointing to the first element <em>not less * than</em> @a val, or end() if every element is less than * @a val. * @ingroup binary_search_algorithms / template<typename _ForwardIterator, typename _Tp> inline _ForwardIterator lower_bound(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __val) { // concept requirements __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>) __glibcxx_function_requires(_LessThanOpConcept< typename iterator_traits<_ForwardIterator>::value_type, _Tp>) __glibcxx_requires_partitioned_lower(__first, __last, __val); return std::__lower_bound(__first, __last, __val, __gnu_cxx::__ops::__iter_less_val()); } /// This is a helper function for the sort routines and for random.tcc. // Precondition: __n > 0. inline _GLIBCXX_CONSTEXPR int __lg(int __n) { return (int)sizeof(int) __CHAR_BIT__ - 1 - __builtin_clz(__n); } inline _GLIBCXX_CONSTEXPR unsigned __lg(unsigned __n) { return (int)sizeof(int) * __CHAR_BIT__ - 1 - __builtin_clz(__n); } inline _GLIBCXX_CONSTEXPR long __lg(long __n) { return (int)sizeof(long) * __CHAR_BIT__ - 1 - __builtin_clzl(__n); } inline _GLIBCXX_CONSTEXPR unsigned long __lg(unsigned long __n) { return (int)sizeof(long) * __CHAR_BIT__ - 1 - __builtin_clzl(__n); } inline _GLIBCXX_CONSTEXPR long long __lg(long long __n) { return (int)sizeof(long long) * __CHAR_BIT__ - 1 - __builtin_clzll(__n); } inline _GLIBCXX_CONSTEXPR unsigned long long __lg(unsigned long long __n) { return (int)sizeof(long long) * __CHAR_BIT__ - 1 - __builtin_clzll(__n); } _GLIBCXX_BEGIN_NAMESPACE_ALGO /** * @brief Tests a range for element-wise equality. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @return A boolean true or false. * * This compares the elements of two ranges using @c == and returns true or * false depending on whether all of the corresponding elements of the * ranges are equal. / template<typename _II1, typename _II2> inline bool equal(_II1 __first1, _II1 __last1, _II2 __first2) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_II1>) __glibcxx_function_requires(_InputIteratorConcept<_II2>) __glibcxx_function_requires(_EqualOpConcept< typename iterator_traits<_II1>::value_type, typename iterator_traits<_II2>::value_type>) __glibcxx_requires_valid_range(__first1, __last1); return std::__equal_aux(std::__niter_base(__first1), std::__niter_base(__last1), std::__niter_base(__first2)); } /* * @brief Tests a range for element-wise equality. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __binary_pred A binary predicate @link functors * functor@endlink. * @return A boolean true or false. * * This compares the elements of two ranges using the binary_pred * parameter, and returns true or * false depending on whether all of the corresponding elements of the * ranges are equal. / template<typename _IIter1, typename _IIter2, typename _BinaryPredicate> inline bool equal(_IIter1 __first1, _IIter1 __last1, _IIter2 __first2, _BinaryPredicate __binary_pred) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_IIter1>) __glibcxx_function_requires(_InputIteratorConcept<_IIter2>) __glibcxx_requires_valid_range(__first1, __last1); for (; __first1 != __last1; ++__first1, (void)++__first2) if (!bool(__binary_pred(__first1, __first2))) return false; return true; } #if __cplusplus >= 201103L // 4-iterator version of std::equal<It1, It2> for use in C++11. template<typename _II1, typename _II2> inline bool __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2) { using _RATag = random_access_iterator_tag; using _Cat1 = typename iterator_traits<_II1>::iterator_category; using _Cat2 = typename iterator_traits<_II2>::iterator_category; using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>; if (_RAIters()) { auto __d1 = std::distance(__first1, __last1); auto __d2 = std::distance(__first2, __last2); if (__d1 != __d2) return false; return _GLIBCXX_STD_A::equal(__first1, __last1, __first2); } for (; __first1 != __last1 && __first2 != __last2; ++__first1, (void)++__first2) if (!(__first1 == __first2)) return false; return __first1 == __last1 && __first2 == __last2; } // 4-iterator version of std::equal<It1, It2, BinaryPred> for use in C++11. template<typename _II1, typename _II2, typename _BinaryPredicate> inline bool __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2, _BinaryPredicate __binary_pred) { using _RATag = random_access_iterator_tag; using _Cat1 = typename iterator_traits<_II1>::iterator_category; using _Cat2 = typename iterator_traits<_II2>::iterator_category; using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>; if (_RAIters()) { auto __d1 = std::distance(__first1, __last1); auto __d2 = std::distance(__first2, __last2); if (__d1 != __d2) return false; return _GLIBCXX_STD_A::equal(__first1, __last1, __first2, __binary_pred); } for (; __first1 != __last1 && __first2 != __last2; ++__first1, (void)++__first2) if (!bool(__binary_pred(__first1, __first2))) return false; return __first1 == __last1 && __first2 == __last2; } #endif // C++11 #if __cplusplus > 201103L #define __cpp_lib_robust_nonmodifying_seq_ops 201304 /* * @brief Tests a range for element-wise equality. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __last2 An input iterator. * @return A boolean true or false. * * This compares the elements of two ranges using @c == and returns true or * false depending on whether all of the corresponding elements of the * ranges are equal. / template<typename _II1, typename _II2> inline bool equal(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_II1>) __glibcxx_function_requires(_InputIteratorConcept<_II2>) __glibcxx_function_requires(_EqualOpConcept< typename iterator_traits<_II1>::value_type, typename iterator_traits<_II2>::value_type>) __glibcxx_requires_valid_range(__first1, __last1); __glibcxx_requires_valid_range(__first2, __last2); return _GLIBCXX_STD_A::__equal4(__first1, __last1, __first2, __last2); } /* * @brief Tests a range for element-wise equality. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __last2 An input iterator. * @param __binary_pred A binary predicate @link functors * functor@endlink. * @return A boolean true or false. * * This compares the elements of two ranges using the binary_pred * parameter, and returns true or * false depending on whether all of the corresponding elements of the * ranges are equal. / template<typename _IIter1, typename _IIter2, typename _BinaryPredicate> inline bool equal(_IIter1 __first1, _IIter1 __last1, _IIter2 __first2, _IIter2 __last2, _BinaryPredicate __binary_pred) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_IIter1>) __glibcxx_function_requires(_InputIteratorConcept<_IIter2>) __glibcxx_requires_valid_range(__first1, __last1); __glibcxx_requires_valid_range(__first2, __last2); return _GLIBCXX_STD_A::__equal4(__first1, __last1, __first2, __last2, __binary_pred); } #endif // C++14 /* * @brief Performs @b dictionary comparison on ranges. * @ingroup sorting_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __last2 An input iterator. * @return A boolean true or false. * * <em>Returns true if the sequence of elements defined by the range * [first1,last1) is lexicographically less than the sequence of elements * defined by the range [first2,last2). Returns false otherwise.</em> * (Quoted from [25.3.8]/1.) If the iterators are all character pointers, * then this is an inline call to @c memcmp. / template<typename _II1, typename _II2> inline bool lexicographical_compare(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2) { #ifdef _GLIBCXX_CONCEPT_CHECKS // concept requirements typedef typename iterator_traits<_II1>::value_type _ValueType1; typedef typename iterator_traits<_II2>::value_type _ValueType2; #endif __glibcxx_function_requires(_InputIteratorConcept<_II1>) __glibcxx_function_requires(_InputIteratorConcept<_II2>) __glibcxx_function_requires(_LessThanOpConcept<_ValueType1, _ValueType2>) __glibcxx_function_requires(_LessThanOpConcept<_ValueType2, _ValueType1>) __glibcxx_requires_valid_range(__first1, __last1); __glibcxx_requires_valid_range(__first2, __last2); return std::__lexicographical_compare_aux(std::__niter_base(__first1), std::__niter_base(__last1), std::__niter_base(__first2), std::__niter_base(__last2)); } /* * @brief Performs @b dictionary comparison on ranges. * @ingroup sorting_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __last2 An input iterator. * @param __comp A @link comparison_functors comparison functor@endlink. * @return A boolean true or false. * * The same as the four-parameter @c lexicographical_compare, but uses the * comp parameter instead of @c <. / template<typename _II1, typename _II2, typename _Compare> inline bool lexicographical_compare(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2, _Compare __comp) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_II1>) __glibcxx_function_requires(_InputIteratorConcept<_II2>) __glibcxx_requires_valid_range(__first1, __last1); __glibcxx_requires_valid_range(__first2, __last2); return std::__lexicographical_compare_impl (__first1, __last1, __first2, __last2, __gnu_cxx::__ops::__iter_comp_iter(__comp)); } template<typename _InputIterator1, typename _InputIterator2, typename _BinaryPredicate> pair<_InputIterator1, _InputIterator2> __mismatch(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _BinaryPredicate __binary_pred) { while (__first1 != __last1 && __binary_pred(__first1, __first2)) { ++__first1; ++__first2; } return pair<_InputIterator1, _InputIterator2>(__first1, __first2); } /* * @brief Finds the places in ranges which don't match. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @return A pair of iterators pointing to the first mismatch. * * This compares the elements of two ranges using @c == and returns a pair * of iterators. The first iterator points into the first range, the * second iterator points into the second range, and the elements pointed * to by the iterators are not equal. / template<typename _InputIterator1, typename _InputIterator2> inline pair<_InputIterator1, _InputIterator2> mismatch(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) __glibcxx_function_requires(_EqualOpConcept< typename iterator_traits<_InputIterator1>::value_type, typename iterator_traits<_InputIterator2>::value_type>) __glibcxx_requires_valid_range(__first1, __last1); return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2, __gnu_cxx::__ops::__iter_equal_to_iter()); } /* * @brief Finds the places in ranges which don't match. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __binary_pred A binary predicate @link functors * functor@endlink. * @return A pair of iterators pointing to the first mismatch. * * This compares the elements of two ranges using the binary_pred * parameter, and returns a pair * of iterators. The first iterator points into the first range, the * second iterator points into the second range, and the elements pointed * to by the iterators are not equal. / template<typename _InputIterator1, typename _InputIterator2, typename _BinaryPredicate> inline pair<_InputIterator1, _InputIterator2> mismatch(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _BinaryPredicate __binary_pred) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) __glibcxx_requires_valid_range(__first1, __last1); return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2, __gnu_cxx::__ops::__iter_comp_iter(__binary_pred)); } #if __cplusplus > 201103L template<typename _InputIterator1, typename _InputIterator2, typename _BinaryPredicate> pair<_InputIterator1, _InputIterator2> __mismatch(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _InputIterator2 __last2, _BinaryPredicate __binary_pred) { while (__first1 != __last1 && __first2 != __last2 && __binary_pred(__first1, __first2)) { ++__first1; ++__first2; } return pair<_InputIterator1, _InputIterator2>(__first1, __first2); } /* * @brief Finds the places in ranges which don't match. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __last2 An input iterator. * @return A pair of iterators pointing to the first mismatch. * * This compares the elements of two ranges using @c == and returns a pair * of iterators. The first iterator points into the first range, the * second iterator points into the second range, and the elements pointed * to by the iterators are not equal. / template<typename _InputIterator1, typename _InputIterator2> inline pair<_InputIterator1, _InputIterator2> mismatch(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _InputIterator2 __last2) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) __glibcxx_function_requires(_EqualOpConcept< typename iterator_traits<_InputIterator1>::value_type, typename iterator_traits<_InputIterator2>::value_type>) __glibcxx_requires_valid_range(__first1, __last1); __glibcxx_requires_valid_range(__first2, __last2); return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2, __last2, __gnu_cxx::__ops::__iter_equal_to_iter()); } /* * @brief Finds the places in ranges which don't match. * @ingroup non_mutating_algorithms * @param __first1 An input iterator. * @param __last1 An input iterator. * @param __first2 An input iterator. * @param __last2 An input iterator. * @param __binary_pred A binary predicate @link functors * functor@endlink. * @return A pair of iterators pointing to the first mismatch. * * This compares the elements of two ranges using the binary_pred * parameter, and returns a pair * of iterators. The first iterator points into the first range, the * second iterator points into the second range, and the elements pointed * to by the iterators are not equal. */ template<typename _InputIterator1, typename _InputIterator2, typename _BinaryPredicate> inline pair<_InputIterator1, _InputIterator2> mismatch(_InputIterator1 __first1, _InputIterator1 __last1, _InputIterator2 __first2, _InputIterator2 __last2, _BinaryPredicate __binary_pred) { // concept requirements __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>) __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>) __glibcxx_requires_valid_range(__first1, __last1); __glibcxx_requires_valid_range(__first2, __last2); return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2, __last2, __gnu_cxx::__ops::__iter_comp_iter(__binary_pred)); } #endif _GLIBCXX_END_NAMESPACE_ALGO _GLIBCXX_END_NAMESPACE_VERSION } // namespace std // NB: This file is included within many other C++ includes, as a way // of getting the base algorithms. So, make sure that parallel bits // come in too if requested. #ifdef _GLIBCXX_PARALLEL # include <parallel/algobase.h> #endif #endif Back

Edit File : stl_algobase.h | Size : 49.31 KB

// Core algorithmic facilities -*- C++ -*-

// Copyright (C) 2001-2018 Free Software Foundation, Inc.
//
// This file is part of the GNU ISO C++ Library.  This library is free
// software; you can redistribute it and/or modify it under the
// terms of the GNU General Public License as published by the
// Free Software Foundation; either version 3, or (at your option)
// any later version.

// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
// GNU General Public License for more details.

// Under Section 7 of GPL version 3, you are granted additional
// permissions described in the GCC Runtime Library Exception, version
// 3.1, as published by the Free Software Foundation.

// You should have received a copy of the GNU General Public License and
// a copy of the GCC Runtime Library Exception along with this program;
// see the files COPYING3 and COPYING.RUNTIME respectively.  If not, see
// <http://www.gnu.org/licenses/>.

/*
 *
 * Copyright (c) 1994
 * Hewlett-Packard Company
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Hewlett-Packard Company makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 *
 *
 * Copyright (c) 1996-1998
 * Silicon Graphics Computer Systems, Inc.
 *
 * Permission to use, copy, modify, distribute and sell this software
 * and its documentation for any purpose is hereby granted without fee,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.  Silicon Graphics makes no
 * representations about the suitability of this software for any
 * purpose.  It is provided "as is" without express or implied warranty.
 */

/** @file bits/stl_algobase.h
 *  This is an internal header file, included by other library headers.
 *  Do not attempt to use it directly. @headername{algorithm}
 */

#ifndef _STL_ALGOBASE_H
#define _STL_ALGOBASE_H 1

#include <bits/c++config.h>
#include <bits/functexcept.h>
#include <bits/cpp_type_traits.h>
#include <ext/type_traits.h>
#include <ext/numeric_traits.h>
#include <bits/stl_pair.h>
#include <bits/stl_iterator_base_types.h>
#include <bits/stl_iterator_base_funcs.h>
#include <bits/stl_iterator.h>
#include <bits/concept_check.h>
#include <debug/debug.h>
#include <bits/move.h> // For std::swap
#include <bits/predefined_ops.h>

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

#if __cplusplus < 201103L
  // See http://gcc.gnu.org/ml/libstdc++/2004-08/msg00167.html: in a
  // nutshell, we are partially implementing the resolution of DR 187,
  // when it's safe, i.e., the value_types are equal.
  template<bool _BoolType>
    struct __iter_swap
    {
      template<typename _ForwardIterator1, typename _ForwardIterator2>
	static void
	iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
	{
	  typedef typename iterator_traits<_ForwardIterator1>::value_type
	    _ValueType1;
	  _ValueType1 __tmp = *__a;
	  *__a = *__b;
	  *__b = __tmp;
	}
    };

template<>
    struct __iter_swap<true>
    {
      template<typename _ForwardIterator1, typename _ForwardIterator2>
	static void
	iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
	{
	  swap(*__a, *__b);
	}
    };
#endif

/**
   *  @brief Swaps the contents of two iterators.
   *  @ingroup mutating_algorithms
   *  @param  __a  An iterator.
   *  @param  __b  Another iterator.
   *  @return   Nothing.
   *
   *  This function swaps the values pointed to by two iterators, not the
   *  iterators themselves.
  */
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    inline void
    iter_swap(_ForwardIterator1 __a, _ForwardIterator2 __b)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<
				  _ForwardIterator1>)
      __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<
				  _ForwardIterator2>)

#if __cplusplus < 201103L
      typedef typename iterator_traits<_ForwardIterator1>::value_type
	_ValueType1;
      typedef typename iterator_traits<_ForwardIterator2>::value_type
	_ValueType2;

__glibcxx_function_requires(_ConvertibleConcept<_ValueType1,
				  _ValueType2>)
      __glibcxx_function_requires(_ConvertibleConcept<_ValueType2,
				  _ValueType1>)

typedef typename iterator_traits<_ForwardIterator1>::reference
	_ReferenceType1;
      typedef typename iterator_traits<_ForwardIterator2>::reference
	_ReferenceType2;
      std::__iter_swap<__are_same<_ValueType1, _ValueType2>::__value
	&& __are_same<_ValueType1&, _ReferenceType1>::__value
	&& __are_same<_ValueType2&, _ReferenceType2>::__value>::
	iter_swap(__a, __b);
#else
      swap(*__a, *__b);
#endif
    }

/**
   *  @brief Swap the elements of two sequences.
   *  @ingroup mutating_algorithms
   *  @param  __first1  A forward iterator.
   *  @param  __last1   A forward iterator.
   *  @param  __first2  A forward iterator.
   *  @return   An iterator equal to @p first2+(last1-first1).
   *
   *  Swaps each element in the range @p [first1,last1) with the
   *  corresponding element in the range @p [first2,(last1-first1)).
   *  The ranges must not overlap.
  */
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    _ForwardIterator2
    swap_ranges(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
		_ForwardIterator2 __first2)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<
				  _ForwardIterator1>)
      __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<
				  _ForwardIterator2>)
      __glibcxx_requires_valid_range(__first1, __last1);

for (; __first1 != __last1; ++__first1, (void)++__first2)
	std::iter_swap(__first1, __first2);
      return __first2;
    }

/**
   *  @brief This does what you think it does.
   *  @ingroup sorting_algorithms
   *  @param  __a  A thing of arbitrary type.
   *  @param  __b  Another thing of arbitrary type.
   *  @return   The lesser of the parameters.
   *
   *  This is the simple classic generic implementation.  It will work on
   *  temporary expressions, since they are only evaluated once, unlike a
   *  preprocessor macro.
  */
  template<typename _Tp>
    _GLIBCXX14_CONSTEXPR
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b)
    {
      // concept requirements
      __glibcxx_function_requires(_LessThanComparableConcept<_Tp>)
      //return __b < __a ? __b : __a;
      if (__b < __a)
	return __b;
      return __a;
    }

/**
   *  @brief This does what you think it does.
   *  @ingroup sorting_algorithms
   *  @param  __a  A thing of arbitrary type.
   *  @param  __b  Another thing of arbitrary type.
   *  @return   The greater of the parameters.
   *
   *  This is the simple classic generic implementation.  It will work on
   *  temporary expressions, since they are only evaluated once, unlike a
   *  preprocessor macro.
  */
  template<typename _Tp>
    _GLIBCXX14_CONSTEXPR
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b)
    {
      // concept requirements
      __glibcxx_function_requires(_LessThanComparableConcept<_Tp>)
      //return  __a < __b ? __b : __a;
      if (__a < __b)
	return __b;
      return __a;
    }

/**
   *  @brief This does what you think it does.
   *  @ingroup sorting_algorithms
   *  @param  __a  A thing of arbitrary type.
   *  @param  __b  Another thing of arbitrary type.
   *  @param  __comp  A @link comparison_functors comparison functor@endlink.
   *  @return   The lesser of the parameters.
   *
   *  This will work on temporary expressions, since they are only evaluated
   *  once, unlike a preprocessor macro.
  */
  template<typename _Tp, typename _Compare>
    _GLIBCXX14_CONSTEXPR
    inline const _Tp&
    min(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {
      //return __comp(__b, __a) ? __b : __a;
      if (__comp(__b, __a))
	return __b;
      return __a;
    }

/**
   *  @brief This does what you think it does.
   *  @ingroup sorting_algorithms
   *  @param  __a  A thing of arbitrary type.
   *  @param  __b  Another thing of arbitrary type.
   *  @param  __comp  A @link comparison_functors comparison functor@endlink.
   *  @return   The greater of the parameters.
   *
   *  This will work on temporary expressions, since they are only evaluated
   *  once, unlike a preprocessor macro.
  */
  template<typename _Tp, typename _Compare>
    _GLIBCXX14_CONSTEXPR
    inline const _Tp&
    max(const _Tp& __a, const _Tp& __b, _Compare __comp)
    {
      //return __comp(__a, __b) ? __b : __a;
      if (__comp(__a, __b))
	return __b;
      return __a;
    }

// Fallback implementation of the function in bits/stl_iterator.h used to
  // remove the __normal_iterator wrapper. See copy, fill, ...
  template<typename _Iterator>
    inline _Iterator
    __niter_base(_Iterator __it)
    { return __it; }

// All of these auxiliary structs serve two purposes.  (1) Replace
  // calls to copy with memmove whenever possible.  (Memmove, not memcpy,
  // because the input and output ranges are permitted to overlap.)
  // (2) If we're using random access iterators, then write the loop as
  // a for loop with an explicit count.

template<bool, bool, typename>
    struct __copy_move
    {
      template<typename _II, typename _OI>
	static _OI
	__copy_m(_II __first, _II __last, _OI __result)
	{
	  for (; __first != __last; ++__result, (void)++__first)
	    *__result = *__first;
	  return __result;
	}
    };

#if __cplusplus >= 201103L
  template<typename _Category>
    struct __copy_move<true, false, _Category>
    {
      template<typename _II, typename _OI>
	static _OI
	__copy_m(_II __first, _II __last, _OI __result)
	{
	  for (; __first != __last; ++__result, (void)++__first)
	    *__result = std::move(*__first);
	  return __result;
	}
    };
#endif

template<>
    struct __copy_move<false, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>
	static _OI
	__copy_m(_II __first, _II __last, _OI __result)
	{
	  typedef typename iterator_traits<_II>::difference_type _Distance;
	  for(_Distance __n = __last - __first; __n > 0; --__n)
	    {
	      *__result = *__first;
	      ++__first;
	      ++__result;
	    }
	  return __result;
	}
    };

#if __cplusplus >= 201103L
  template<>
    struct __copy_move<true, false, random_access_iterator_tag>
    {
      template<typename _II, typename _OI>
	static _OI
	__copy_m(_II __first, _II __last, _OI __result)
	{
	  typedef typename iterator_traits<_II>::difference_type _Distance;
	  for(_Distance __n = __last - __first; __n > 0; --__n)
	    {
	      *__result = std::move(*__first);
	      ++__first;
	      ++__result;
	    }
	  return __result;
	}
    };
#endif

template<bool _IsMove>
    struct __copy_move<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>
	static _Tp*
	__copy_m(const _Tp* __first, const _Tp* __last, _Tp* __result)
	{
#if __cplusplus >= 201103L
	  using __assignable = conditional<_IsMove,
					   is_move_assignable<_Tp>,
					   is_copy_assignable<_Tp>>;
	  // trivial types can have deleted assignment
	  static_assert( __assignable::type::value, "type is not assignable" );
#endif
	  const ptrdiff_t _Num = __last - __first;
	  if (_Num)
	    __builtin_memmove(__result, __first, sizeof(_Tp) * _Num);
	  return __result + _Num;
	}
    };

template<bool _IsMove, typename _II, typename _OI>
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      typedef typename iterator_traits<_II>::value_type _ValueTypeI;
      typedef typename iterator_traits<_OI>::value_type _ValueTypeO;
      typedef typename iterator_traits<_II>::iterator_category _Category;
      const bool __simple = (__is_trivial(_ValueTypeI)
			     && __is_pointer<_II>::__value
			     && __is_pointer<_OI>::__value
			     && __are_same<_ValueTypeI, _ValueTypeO>::__value);

return std::__copy_move<_IsMove, __simple,
			      _Category>::__copy_m(__first, __last, __result);
    }

// Helpers for streambuf iterators (either istream or ostream).
  // NB: avoid including <iosfwd>, relatively large.
  template<typename _CharT>
    struct char_traits;

template<typename _CharT, typename _Traits>
    class istreambuf_iterator;

template<typename _CharT, typename _Traits>
    class ostreambuf_iterator;

template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
	     ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(_CharT*, _CharT*,
		   ostreambuf_iterator<_CharT, char_traits<_CharT> >);

template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
	     ostreambuf_iterator<_CharT, char_traits<_CharT> > >::__type
    __copy_move_a2(const _CharT*, const _CharT*,
		   ostreambuf_iterator<_CharT, char_traits<_CharT> >);

template<bool _IsMove, typename _CharT>
    typename __gnu_cxx::__enable_if<__is_char<_CharT>::__value,
				    _CharT*>::__type
    __copy_move_a2(istreambuf_iterator<_CharT, char_traits<_CharT> >,
		   istreambuf_iterator<_CharT, char_traits<_CharT> >, _CharT*);

template<bool _IsMove, typename _II, typename _OI>
    inline _OI
    __copy_move_a2(_II __first, _II __last, _OI __result)
    {
      return _OI(std::__copy_move_a<_IsMove>(std::__niter_base(__first),
					     std::__niter_base(__last),
					     std::__niter_base(__result)));
    }

/**
   *  @brief Copies the range [first,last) into result.
   *  @ingroup mutating_algorithms
   *  @param  __first  An input iterator.
   *  @param  __last   An input iterator.
   *  @param  __result An output iterator.
   *  @return   result + (first - last)
   *
   *  This inline function will boil down to a call to @c memmove whenever
   *  possible.  Failing that, if random access iterators are passed, then the
   *  loop count will be known (and therefore a candidate for compiler
   *  optimizations such as unrolling).  Result may not be contained within
   *  [first,last); the copy_backward function should be used instead.
   *
   *  Note that the end of the output range is permitted to be contained
   *  within [first,last).
  */
  template<typename _II, typename _OI>
    inline _OI
    copy(_II __first, _II __last, _OI __result)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_II>)
      __glibcxx_function_requires(_OutputIteratorConcept<_OI,
	    typename iterator_traits<_II>::value_type>)
      __glibcxx_requires_valid_range(__first, __last);

return (std::__copy_move_a2<__is_move_iterator<_II>::__value>
	      (std::__miter_base(__first), std::__miter_base(__last),
	       __result));
    }

#if __cplusplus >= 201103L
  /**
   *  @brief Moves the range [first,last) into result.
   *  @ingroup mutating_algorithms
   *  @param  __first  An input iterator.
   *  @param  __last   An input iterator.
   *  @param  __result An output iterator.
   *  @return   result + (first - last)
   *
   *  This inline function will boil down to a call to @c memmove whenever
   *  possible.  Failing that, if random access iterators are passed, then the
   *  loop count will be known (and therefore a candidate for compiler
   *  optimizations such as unrolling).  Result may not be contained within
   *  [first,last); the move_backward function should be used instead.
   *
   *  Note that the end of the output range is permitted to be contained
   *  within [first,last).
  */
  template<typename _II, typename _OI>
    inline _OI
    move(_II __first, _II __last, _OI __result)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_II>)
      __glibcxx_function_requires(_OutputIteratorConcept<_OI,
	    typename iterator_traits<_II>::value_type>)
      __glibcxx_requires_valid_range(__first, __last);

return std::__copy_move_a2<true>(std::__miter_base(__first),
				       std::__miter_base(__last), __result);
    }

#define _GLIBCXX_MOVE3(_Tp, _Up, _Vp) std::move(_Tp, _Up, _Vp)
#else
#define _GLIBCXX_MOVE3(_Tp, _Up, _Vp) std::copy(_Tp, _Up, _Vp)
#endif

template<bool, bool, typename>
    struct __copy_move_backward
    {
      template<typename _BI1, typename _BI2>
	static _BI2
	__copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
	{
	  while (__first != __last)
	    *--__result = *--__last;
	  return __result;
	}
    };

#if __cplusplus >= 201103L
  template<typename _Category>
    struct __copy_move_backward<true, false, _Category>
    {
      template<typename _BI1, typename _BI2>
	static _BI2
	__copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
	{
	  while (__first != __last)
	    *--__result = std::move(*--__last);
	  return __result;
	}
    };
#endif

template<>
    struct __copy_move_backward<false, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>
	static _BI2
	__copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
	{
	  typename iterator_traits<_BI1>::difference_type __n;
	  for (__n = __last - __first; __n > 0; --__n)
	    *--__result = *--__last;
	  return __result;
	}
    };

#if __cplusplus >= 201103L
  template<>
    struct __copy_move_backward<true, false, random_access_iterator_tag>
    {
      template<typename _BI1, typename _BI2>
	static _BI2
	__copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
	{
	  typename iterator_traits<_BI1>::difference_type __n;
	  for (__n = __last - __first; __n > 0; --__n)
	    *--__result = std::move(*--__last);
	  return __result;
	}
    };
#endif

template<bool _IsMove>
    struct __copy_move_backward<_IsMove, true, random_access_iterator_tag>
    {
      template<typename _Tp>
	static _Tp*
	__copy_move_b(const _Tp* __first, const _Tp* __last, _Tp* __result)
	{
#if __cplusplus >= 201103L
	  using __assignable = conditional<_IsMove,
					   is_move_assignable<_Tp>,
					   is_copy_assignable<_Tp>>;
	  // trivial types can have deleted assignment
	  static_assert( __assignable::type::value, "type is not assignable" );
#endif
	  const ptrdiff_t _Num = __last - __first;
	  if (_Num)
	    __builtin_memmove(__result - _Num, __first, sizeof(_Tp) * _Num);
	  return __result - _Num;
	}
    };

template<bool _IsMove, typename _BI1, typename _BI2>
    inline _BI2
    __copy_move_backward_a(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef typename iterator_traits<_BI1>::value_type _ValueType1;
      typedef typename iterator_traits<_BI2>::value_type _ValueType2;
      typedef typename iterator_traits<_BI1>::iterator_category _Category;
      const bool __simple = (__is_trivial(_ValueType1)
			     && __is_pointer<_BI1>::__value
			     && __is_pointer<_BI2>::__value
			     && __are_same<_ValueType1, _ValueType2>::__value);

return std::__copy_move_backward<_IsMove, __simple,
				       _Category>::__copy_move_b(__first,
								 __last,
								 __result);
    }

template<bool _IsMove, typename _BI1, typename _BI2>
    inline _BI2
    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      return _BI2(std::__copy_move_backward_a<_IsMove>
		  (std::__niter_base(__first), std::__niter_base(__last),
		   std::__niter_base(__result)));
    }

/**
   *  @brief Copies the range [first,last) into result.
   *  @ingroup mutating_algorithms
   *  @param  __first  A bidirectional iterator.
   *  @param  __last   A bidirectional iterator.
   *  @param  __result A bidirectional iterator.
   *  @return   result - (first - last)
   *
   *  The function has the same effect as copy, but starts at the end of the
   *  range and works its way to the start, returning the start of the result.
   *  This inline function will boil down to a call to @c memmove whenever
   *  possible.  Failing that, if random access iterators are passed, then the
   *  loop count will be known (and therefore a candidate for compiler
   *  optimizations such as unrolling).
   *
   *  Result may not be in the range (first,last].  Use copy instead.  Note
   *  that the start of the output range may overlap [first,last).
  */
  template<typename _BI1, typename _BI2>
    inline _BI2
    copy_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      // concept requirements
      __glibcxx_function_requires(_BidirectionalIteratorConcept<_BI1>)
      __glibcxx_function_requires(_Mutable_BidirectionalIteratorConcept<_BI2>)
      __glibcxx_function_requires(_ConvertibleConcept<
	    typename iterator_traits<_BI1>::value_type,
	    typename iterator_traits<_BI2>::value_type>)
      __glibcxx_requires_valid_range(__first, __last);

return (std::__copy_move_backward_a2<__is_move_iterator<_BI1>::__value>
	      (std::__miter_base(__first), std::__miter_base(__last),
	       __result));
    }

#if __cplusplus >= 201103L
  /**
   *  @brief Moves the range [first,last) into result.
   *  @ingroup mutating_algorithms
   *  @param  __first  A bidirectional iterator.
   *  @param  __last   A bidirectional iterator.
   *  @param  __result A bidirectional iterator.
   *  @return   result - (first - last)
   *
   *  The function has the same effect as move, but starts at the end of the
   *  range and works its way to the start, returning the start of the result.
   *  This inline function will boil down to a call to @c memmove whenever
   *  possible.  Failing that, if random access iterators are passed, then the
   *  loop count will be known (and therefore a candidate for compiler
   *  optimizations such as unrolling).
   *
   *  Result may not be in the range (first,last].  Use move instead.  Note
   *  that the start of the output range may overlap [first,last).
  */
  template<typename _BI1, typename _BI2>
    inline _BI2
    move_backward(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      // concept requirements
      __glibcxx_function_requires(_BidirectionalIteratorConcept<_BI1>)
      __glibcxx_function_requires(_Mutable_BidirectionalIteratorConcept<_BI2>)
      __glibcxx_function_requires(_ConvertibleConcept<
	    typename iterator_traits<_BI1>::value_type,
	    typename iterator_traits<_BI2>::value_type>)
      __glibcxx_requires_valid_range(__first, __last);

return std::__copy_move_backward_a2<true>(std::__miter_base(__first),
						std::__miter_base(__last),
						__result);
    }

#define _GLIBCXX_MOVE_BACKWARD3(_Tp, _Up, _Vp) std::move_backward(_Tp, _Up, _Vp)
#else
#define _GLIBCXX_MOVE_BACKWARD3(_Tp, _Up, _Vp) std::copy_backward(_Tp, _Up, _Vp)
#endif

template<typename _ForwardIterator, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
 	     const _Tp& __value)
    {
      for (; __first != __last; ++__first)
	*__first = __value;
    }

template<typename _ForwardIterator, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
    __fill_a(_ForwardIterator __first, _ForwardIterator __last,
	     const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __first != __last; ++__first)
	*__first = __tmp;
    }

// Specialization: for char types we can use memset.
  template<typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, void>::__type
    __fill_a(_Tp* __first, _Tp* __last, const _Tp& __c)
    {
      const _Tp __tmp = __c;
      if (const size_t __len = __last - __first)
	__builtin_memset(__first, static_cast<unsigned char>(__tmp), __len);
    }

/**
   *  @brief Fills the range [first,last) with copies of value.
   *  @ingroup mutating_algorithms
   *  @param  __first  A forward iterator.
   *  @param  __last   A forward iterator.
   *  @param  __value  A reference-to-const of arbitrary type.
   *  @return   Nothing.
   *
   *  This function fills a range with copies of the same value.  For char
   *  types filling contiguous areas of memory, this becomes an inline call
   *  to @c memset or @c wmemset.
  */
  template<typename _ForwardIterator, typename _Tp>
    inline void
    fill(_ForwardIterator __first, _ForwardIterator __last, const _Tp& __value)
    {
      // concept requirements
      __glibcxx_function_requires(_Mutable_ForwardIteratorConcept<
				  _ForwardIterator>)
      __glibcxx_requires_valid_range(__first, __last);

std::__fill_a(std::__niter_base(__first), std::__niter_base(__last),
		    __value);
    }

template<typename _OutputIterator, typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      for (__decltype(__n + 0) __niter = __n;
	   __niter > 0; --__niter, (void) ++__first)
	*__first = __value;
      return __first;
    }

template<typename _OutputIterator, typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (__decltype(__n + 0) __niter = __n;
	   __niter > 0; --__niter, (void) ++__first)
	*__first = __tmp;
      return __first;
    }

template<typename _Size, typename _Tp>
    inline typename
    __gnu_cxx::__enable_if<__is_byte<_Tp>::__value, _Tp*>::__type
    __fill_n_a(_Tp* __first, _Size __n, const _Tp& __c)
    {
      std::__fill_a(__first, __first + __n, __c);
      return __first + __n;
    }

/**
   *  @brief Fills the range [first,first+n) with copies of value.
   *  @ingroup mutating_algorithms
   *  @param  __first  An output iterator.
   *  @param  __n      The count of copies to perform.
   *  @param  __value  A reference-to-const of arbitrary type.
   *  @return   The iterator at first+n.
   *
   *  This function fills a range with copies of the same value.  For char
   *  types filling contiguous areas of memory, this becomes an inline call
   *  to @c memset or @ wmemset.
   *
   *  _GLIBCXX_RESOLVE_LIB_DEFECTS
   *  DR 865. More algorithms that throw away information
  */
  template<typename _OI, typename _Size, typename _Tp>
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {
      // concept requirements
      __glibcxx_function_requires(_OutputIteratorConcept<_OI, _Tp>)

return _OI(std::__fill_n_a(std::__niter_base(__first), __n, __value));
    }

template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>
	static bool
	equal(_II1 __first1, _II1 __last1, _II2 __first2)
	{
	  for (; __first1 != __last1; ++__first1, (void) ++__first2)
	    if (!(*__first1 == *__first2))
	      return false;
	  return true;
	}
    };

template<>
    struct __equal<true>
    {
      template<typename _Tp>
	static bool
	equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
	{
	  if (const size_t __len = (__last1 - __first1))
	    return !__builtin_memcmp(__first1, __first2, sizeof(_Tp) * __len);
	  return true;
	}
    };

template<typename _II1, typename _II2>
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple = ((__is_integer<_ValueType1>::__value
			      || __is_pointer<_ValueType1>::__value)
			     && __is_pointer<_II1>::__value
			     && __is_pointer<_II2>::__value
			     && __are_same<_ValueType1, _ValueType2>::__value);

return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }

template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>
	static _II1
	__newlast1(_II1, _II1 __last1, _II2, _II2)
	{ return __last1; }

template<typename _II>
	static bool
	__cnd2(_II __first, _II __last)
	{ return __first != __last; }
    };

template<>
    struct __lc_rai<random_access_iterator_tag, random_access_iterator_tag>
    {
      template<typename _RAI1, typename _RAI2>
	static _RAI1
	__newlast1(_RAI1 __first1, _RAI1 __last1,
		   _RAI2 __first2, _RAI2 __last2)
	{
	  const typename iterator_traits<_RAI1>::difference_type
	    __diff1 = __last1 - __first1;
	  const typename iterator_traits<_RAI2>::difference_type
	    __diff2 = __last2 - __first2;
	  return __diff2 < __diff1 ? __first1 + __diff2 : __last1;
	}

template<typename _RAI>
	static bool
	__cnd2(_RAI, _RAI)
	{ return true; }
    };

template<typename _II1, typename _II2, typename _Compare>
    bool
    __lexicographical_compare_impl(_II1 __first1, _II1 __last1,
				   _II2 __first2, _II2 __last2,
				   _Compare __comp)
    {
      typedef typename iterator_traits<_II1>::iterator_category _Category1;
      typedef typename iterator_traits<_II2>::iterator_category _Category2;
      typedef std::__lc_rai<_Category1, _Category2> __rai_type;

__last1 = __rai_type::__newlast1(__first1, __last1, __first2, __last2);
      for (; __first1 != __last1 && __rai_type::__cnd2(__first2, __last2);
	   ++__first1, (void)++__first2)
	{
	  if (__comp(__first1, __first2))
	    return true;
	  if (__comp(__first2, __first1))
	    return false;
	}
      return __first1 == __last1 && __first2 != __last2;
    }

template<bool _BoolType>
    struct __lexicographical_compare
    {
      template<typename _II1, typename _II2>
	static bool __lc(_II1, _II1, _II2, _II2);
    };

template<bool _BoolType>
    template<typename _II1, typename _II2>
      bool
      __lexicographical_compare<_BoolType>::
      __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
      {
	return std::__lexicographical_compare_impl(__first1, __last1,
						   __first2, __last2,
					__gnu_cxx::__ops::__iter_less_iter());
      }

template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>
	static bool
	__lc(const _Tp* __first1, const _Tp* __last1,
	     const _Up* __first2, const _Up* __last2)
	{
	  const size_t __len1 = __last1 - __first1;
	  const size_t __len2 = __last2 - __first2;
	  if (const size_t __len = std::min(__len1, __len2))
	    if (int __result = __builtin_memcmp(__first1, __first2, __len))
	      return __result < 0;
	  return __len1 < __len2;
	}
    };

template<typename _II1, typename _II2>
    inline bool
    __lexicographical_compare_aux(_II1 __first1, _II1 __last1,
				  _II2 __first2, _II2 __last2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
      const bool __simple =
	(__is_byte<_ValueType1>::__value && __is_byte<_ValueType2>::__value
	 && !__gnu_cxx::__numeric_traits<_ValueType1>::__is_signed
	 && !__gnu_cxx::__numeric_traits<_ValueType2>::__is_signed
	 && __is_pointer<_II1>::__value
	 && __is_pointer<_II2>::__value);

return std::__lexicographical_compare<__simple>::__lc(__first1, __last1,
							    __first2, __last2);
    }

template<typename _ForwardIterator, typename _Tp, typename _Compare>
    _ForwardIterator
    __lower_bound(_ForwardIterator __first, _ForwardIterator __last,
		  const _Tp& __val, _Compare __comp)
    {
      typedef typename iterator_traits<_ForwardIterator>::difference_type
	_DistanceType;

_DistanceType __len = std::distance(__first, __last);

while (__len > 0)
	{
	  _DistanceType __half = __len >> 1;
	  _ForwardIterator __middle = __first;
	  std::advance(__middle, __half);
	  if (__comp(__middle, __val))
	    {
	      __first = __middle;
	      ++__first;
	      __len = __len - __half - 1;
	    }
	  else
	    __len = __half;
	}
      return __first;
    }

/**
   *  @brief Finds the first position in which @a val could be inserted
   *         without changing the ordering.
   *  @param  __first   An iterator.
   *  @param  __last    Another iterator.
   *  @param  __val     The search term.
   *  @return         An iterator pointing to the first element <em>not less
   *                  than</em> @a val, or end() if every element is less than
   *                  @a val.
   *  @ingroup binary_search_algorithms
  */
  template<typename _ForwardIterator, typename _Tp>
    inline _ForwardIterator
    lower_bound(_ForwardIterator __first, _ForwardIterator __last,
		const _Tp& __val)
    {
      // concept requirements
      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator>)
      __glibcxx_function_requires(_LessThanOpConcept<
	    typename iterator_traits<_ForwardIterator>::value_type, _Tp>)
      __glibcxx_requires_partitioned_lower(__first, __last, __val);

return std::__lower_bound(__first, __last, __val,
				__gnu_cxx::__ops::__iter_less_val());
    }

/// This is a helper function for the sort routines and for random.tcc.
  //  Precondition: __n > 0.
  inline _GLIBCXX_CONSTEXPR int
  __lg(int __n)
  { return (int)sizeof(int) * __CHAR_BIT__  - 1 - __builtin_clz(__n); }

inline _GLIBCXX_CONSTEXPR unsigned
  __lg(unsigned __n)
  { return (int)sizeof(int) * __CHAR_BIT__  - 1 - __builtin_clz(__n); }

inline _GLIBCXX_CONSTEXPR long
  __lg(long __n)
  { return (int)sizeof(long) * __CHAR_BIT__ - 1 - __builtin_clzl(__n); }

inline _GLIBCXX_CONSTEXPR unsigned long
  __lg(unsigned long __n)
  { return (int)sizeof(long) * __CHAR_BIT__ - 1 - __builtin_clzl(__n); }

inline _GLIBCXX_CONSTEXPR long long
  __lg(long long __n)
  { return (int)sizeof(long long) * __CHAR_BIT__ - 1 - __builtin_clzll(__n); }

inline _GLIBCXX_CONSTEXPR unsigned long long
  __lg(unsigned long long __n)
  { return (int)sizeof(long long) * __CHAR_BIT__ - 1 - __builtin_clzll(__n); }

_GLIBCXX_BEGIN_NAMESPACE_ALGO

/**
   *  @brief Tests a range for element-wise equality.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @return   A boolean true or false.
   *
   *  This compares the elements of two ranges using @c == and returns true or
   *  false depending on whether all of the corresponding elements of the
   *  ranges are equal.
  */
  template<typename _II1, typename _II2>
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_II1>)
      __glibcxx_function_requires(_InputIteratorConcept<_II2>)
      __glibcxx_function_requires(_EqualOpConcept<
	    typename iterator_traits<_II1>::value_type,
	    typename iterator_traits<_II2>::value_type>)
      __glibcxx_requires_valid_range(__first1, __last1);

return std::__equal_aux(std::__niter_base(__first1),
			      std::__niter_base(__last1),
			      std::__niter_base(__first2));
    }

/**
   *  @brief Tests a range for element-wise equality.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param __binary_pred A binary predicate @link functors
   *                  functor@endlink.
   *  @return         A boolean true or false.
   *
   *  This compares the elements of two ranges using the binary_pred
   *  parameter, and returns true or
   *  false depending on whether all of the corresponding elements of the
   *  ranges are equal.
  */
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
	  _IIter2 __first2, _BinaryPredicate __binary_pred)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_IIter1>)
      __glibcxx_function_requires(_InputIteratorConcept<_IIter2>)
      __glibcxx_requires_valid_range(__first1, __last1);

for (; __first1 != __last1; ++__first1, (void)++__first2)
	if (!bool(__binary_pred(*__first1, *__first2)))
	  return false;
      return true;
    }

#if __cplusplus >= 201103L
  // 4-iterator version of std::equal<It1, It2> for use in C++11.
  template<typename _II1, typename _II2>
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
	{
	  auto __d1 = std::distance(__first1, __last1);
	  auto __d2 = std::distance(__first2, __last2);
	  if (__d1 != __d2)
	    return false;
	  return _GLIBCXX_STD_A::equal(__first1, __last1, __first2);
	}

for (; __first1 != __last1 && __first2 != __last2;
	  ++__first1, (void)++__first2)
	if (!(*__first1 == *__first2))
	  return false;
      return __first1 == __last1 && __first2 == __last2;
    }

// 4-iterator version of std::equal<It1, It2, BinaryPred> for use in C++11.
  template<typename _II1, typename _II2, typename _BinaryPredicate>
    inline bool
    __equal4(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2,
	     _BinaryPredicate __binary_pred)
    {
      using _RATag = random_access_iterator_tag;
      using _Cat1 = typename iterator_traits<_II1>::iterator_category;
      using _Cat2 = typename iterator_traits<_II2>::iterator_category;
      using _RAIters = __and_<is_same<_Cat1, _RATag>, is_same<_Cat2, _RATag>>;
      if (_RAIters())
	{
	  auto __d1 = std::distance(__first1, __last1);
	  auto __d2 = std::distance(__first2, __last2);
	  if (__d1 != __d2)
	    return false;
	  return _GLIBCXX_STD_A::equal(__first1, __last1, __first2,
				       __binary_pred);
	}

for (; __first1 != __last1 && __first2 != __last2;
	  ++__first1, (void)++__first2)
	if (!bool(__binary_pred(*__first1, *__first2)))
	  return false;
      return __first1 == __last1 && __first2 == __last2;
    }
#endif // C++11

#if __cplusplus > 201103L

#define __cpp_lib_robust_nonmodifying_seq_ops 201304

/**
   *  @brief Tests a range for element-wise equality.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param  __last2   An input iterator.
   *  @return   A boolean true or false.
   *
   *  This compares the elements of two ranges using @c == and returns true or
   *  false depending on whether all of the corresponding elements of the
   *  ranges are equal.
  */
  template<typename _II1, typename _II2>
    inline bool
    equal(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_II1>)
      __glibcxx_function_requires(_InputIteratorConcept<_II2>)
      __glibcxx_function_requires(_EqualOpConcept<
	    typename iterator_traits<_II1>::value_type,
	    typename iterator_traits<_II2>::value_type>)
      __glibcxx_requires_valid_range(__first1, __last1);
      __glibcxx_requires_valid_range(__first2, __last2);

return _GLIBCXX_STD_A::__equal4(__first1, __last1, __first2, __last2);
    }

/**
   *  @brief Tests a range for element-wise equality.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param  __last2   An input iterator.
   *  @param __binary_pred A binary predicate @link functors
   *                  functor@endlink.
   *  @return         A boolean true or false.
   *
   *  This compares the elements of two ranges using the binary_pred
   *  parameter, and returns true or
   *  false depending on whether all of the corresponding elements of the
   *  ranges are equal.
  */
  template<typename _IIter1, typename _IIter2, typename _BinaryPredicate>
    inline bool
    equal(_IIter1 __first1, _IIter1 __last1,
	  _IIter2 __first2, _IIter2 __last2, _BinaryPredicate __binary_pred)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_IIter1>)
      __glibcxx_function_requires(_InputIteratorConcept<_IIter2>)
      __glibcxx_requires_valid_range(__first1, __last1);
      __glibcxx_requires_valid_range(__first2, __last2);

return _GLIBCXX_STD_A::__equal4(__first1, __last1, __first2, __last2,
				      __binary_pred);
    }
#endif // C++14

/**
   *  @brief Performs @b dictionary comparison on ranges.
   *  @ingroup sorting_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param  __last2   An input iterator.
   *  @return   A boolean true or false.
   *
   *  <em>Returns true if the sequence of elements defined by the range
   *  [first1,last1) is lexicographically less than the sequence of elements
   *  defined by the range [first2,last2).  Returns false otherwise.</em>
   *  (Quoted from [25.3.8]/1.)  If the iterators are all character pointers,
   *  then this is an inline call to @c memcmp.
  */
  template<typename _II1, typename _II2>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
			    _II2 __first2, _II2 __last2)
    {
#ifdef _GLIBCXX_CONCEPT_CHECKS
      // concept requirements
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      typedef typename iterator_traits<_II2>::value_type _ValueType2;
#endif
      __glibcxx_function_requires(_InputIteratorConcept<_II1>)
      __glibcxx_function_requires(_InputIteratorConcept<_II2>)
      __glibcxx_function_requires(_LessThanOpConcept<_ValueType1, _ValueType2>)
      __glibcxx_function_requires(_LessThanOpConcept<_ValueType2, _ValueType1>)
      __glibcxx_requires_valid_range(__first1, __last1);
      __glibcxx_requires_valid_range(__first2, __last2);

return std::__lexicographical_compare_aux(std::__niter_base(__first1),
						std::__niter_base(__last1),
						std::__niter_base(__first2),
						std::__niter_base(__last2));
    }

/**
   *  @brief Performs @b dictionary comparison on ranges.
   *  @ingroup sorting_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param  __last2   An input iterator.
   *  @param  __comp  A @link comparison_functors comparison functor@endlink.
   *  @return   A boolean true or false.
   *
   *  The same as the four-parameter @c lexicographical_compare, but uses the
   *  comp parameter instead of @c <.
  */
  template<typename _II1, typename _II2, typename _Compare>
    inline bool
    lexicographical_compare(_II1 __first1, _II1 __last1,
			    _II2 __first2, _II2 __last2, _Compare __comp)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_II1>)
      __glibcxx_function_requires(_InputIteratorConcept<_II2>)
      __glibcxx_requires_valid_range(__first1, __last1);
      __glibcxx_requires_valid_range(__first2, __last2);

return std::__lexicographical_compare_impl
	(__first1, __last1, __first2, __last2,
	 __gnu_cxx::__ops::__iter_comp_iter(__comp));
    }

template<typename _InputIterator1, typename _InputIterator2,
	   typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
	       _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __binary_pred(__first1, __first2))
	{
	  ++__first1;
	  ++__first2;
	}
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }

/**
   *  @brief Finds the places in ranges which don't match.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @return   A pair of iterators pointing to the first mismatch.
   *
   *  This compares the elements of two ranges using @c == and returns a pair
   *  of iterators.  The first iterator points into the first range, the
   *  second iterator points into the second range, and the elements pointed
   *  to by the iterators are not equal.
  */
  template<typename _InputIterator1, typename _InputIterator2>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
	     _InputIterator2 __first2)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
      __glibcxx_function_requires(_EqualOpConcept<
	    typename iterator_traits<_InputIterator1>::value_type,
	    typename iterator_traits<_InputIterator2>::value_type>)
      __glibcxx_requires_valid_range(__first1, __last1);

return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2,
			     __gnu_cxx::__ops::__iter_equal_to_iter());
    }

/**
   *  @brief Finds the places in ranges which don't match.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param __binary_pred A binary predicate @link functors
   *         functor@endlink.
   *  @return   A pair of iterators pointing to the first mismatch.
   *
   *  This compares the elements of two ranges using the binary_pred
   *  parameter, and returns a pair
   *  of iterators.  The first iterator points into the first range, the
   *  second iterator points into the second range, and the elements pointed
   *  to by the iterators are not equal.
  */
  template<typename _InputIterator1, typename _InputIterator2,
	   typename _BinaryPredicate>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
	     _InputIterator2 __first2, _BinaryPredicate __binary_pred)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
      __glibcxx_requires_valid_range(__first1, __last1);

return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2,
	__gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }

#if __cplusplus > 201103L

template<typename _InputIterator1, typename _InputIterator2,
	   typename _BinaryPredicate>
    pair<_InputIterator1, _InputIterator2>
    __mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
	       _InputIterator2 __first2, _InputIterator2 __last2,
	       _BinaryPredicate __binary_pred)
    {
      while (__first1 != __last1 && __first2 != __last2
	     && __binary_pred(__first1, __first2))
	{
	  ++__first1;
	  ++__first2;
	}
      return pair<_InputIterator1, _InputIterator2>(__first1, __first2);
    }

/**
   *  @brief Finds the places in ranges which don't match.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param  __last2   An input iterator.
   *  @return   A pair of iterators pointing to the first mismatch.
   *
   *  This compares the elements of two ranges using @c == and returns a pair
   *  of iterators.  The first iterator points into the first range, the
   *  second iterator points into the second range, and the elements pointed
   *  to by the iterators are not equal.
  */
  template<typename _InputIterator1, typename _InputIterator2>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
	     _InputIterator2 __first2, _InputIterator2 __last2)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
      __glibcxx_function_requires(_EqualOpConcept<
	    typename iterator_traits<_InputIterator1>::value_type,
	    typename iterator_traits<_InputIterator2>::value_type>)
      __glibcxx_requires_valid_range(__first1, __last1);
      __glibcxx_requires_valid_range(__first2, __last2);

return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2, __last2,
			     __gnu_cxx::__ops::__iter_equal_to_iter());
    }

/**
   *  @brief Finds the places in ranges which don't match.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  An input iterator.
   *  @param  __last1   An input iterator.
   *  @param  __first2  An input iterator.
   *  @param  __last2   An input iterator.
   *  @param __binary_pred A binary predicate @link functors
   *         functor@endlink.
   *  @return   A pair of iterators pointing to the first mismatch.
   *
   *  This compares the elements of two ranges using the binary_pred
   *  parameter, and returns a pair
   *  of iterators.  The first iterator points into the first range, the
   *  second iterator points into the second range, and the elements pointed
   *  to by the iterators are not equal.
  */
  template<typename _InputIterator1, typename _InputIterator2,
	   typename _BinaryPredicate>
    inline pair<_InputIterator1, _InputIterator2>
    mismatch(_InputIterator1 __first1, _InputIterator1 __last1,
	     _InputIterator2 __first2, _InputIterator2 __last2,
	     _BinaryPredicate __binary_pred)
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator1>)
      __glibcxx_function_requires(_InputIteratorConcept<_InputIterator2>)
      __glibcxx_requires_valid_range(__first1, __last1);
      __glibcxx_requires_valid_range(__first2, __last2);

return _GLIBCXX_STD_A::__mismatch(__first1, __last1, __first2, __last2,
			     __gnu_cxx::__ops::__iter_comp_iter(__binary_pred));
    }
#endif

_GLIBCXX_END_NAMESPACE_ALGO
_GLIBCXX_END_NAMESPACE_VERSION
} // namespace std

// NB: This file is included within many other C++ includes, as a way
// of getting the base algorithms. So, make sure that parallel bits
// come in too if requested.
#ifdef _GLIBCXX_PARALLEL
# include <parallel/algobase.h>
#endif

#endif

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