libstdc++: Workaround is_trivially_copyable<volatile T> (PR 94013)

[thirdparty/gcc.git] / libstdc++-v3 / include / bits / stl_algobase.h

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

// Copyright (C) 2001-2020 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>
#if __cplusplus >= 201103L
# include <type_traits>
#endif
#if __cplusplus > 201703L
# include <compare>
#endif

namespace std _GLIBCXX_VISIBILITY(default)
{
_GLIBCXX_BEGIN_NAMESPACE_VERSION

  /*
   * A constexpr wrapper for __builtin_memcmp.
   * @param __num The number of elements of type _Tp (not bytes).
   */
  template<typename _Tp, typename _Up>
    _GLIBCXX14_CONSTEXPR
    inline int
    __memcmp(const _Tp* __first1, const _Up* __first2, size_t __num)
    {
#if __cplusplus >= 201103L
      static_assert(sizeof(_Tp) == sizeof(_Up), "can be compared with memcmp");
#endif
#ifdef __cpp_lib_is_constant_evaluated
      if (std::is_constant_evaluated())
        {
          for(; __num > 0; ++__first1, ++__first2, --__num)
            if (*__first1 != *__first2)
              return *__first1 < *__first2 ? -1 : 1;
          return 0;
        }
      else
#endif
        return __builtin_memcmp(__first1, __first2, sizeof(_Tp) * __num);
    }

#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 // C++03

  /**
   *  @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>
    _GLIBCXX20_CONSTEXPR
    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
      // _GLIBCXX_RESOLVE_LIB_DEFECTS
      // 187. iter_swap underspecified
      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>
    _GLIBCXX20_CONSTEXPR
    _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>
    _GLIBCXX20_CONSTEXPR
    inline _Iterator
    __niter_base(_Iterator __it)
    _GLIBCXX_NOEXCEPT_IF(std::is_nothrow_copy_constructible<_Iterator>::value)
    { return __it; }

  // Reverse the __niter_base transformation to get a
  // __normal_iterator back again (this assumes that __normal_iterator
  // is only used to wrap random access iterators, like pointers).
  template<typename _From, typename _To>
    _GLIBCXX20_CONSTEXPR
    inline _From
    __niter_wrap(_From __from, _To __res)
    { return __from + (__res - std::__niter_base(__from)); }

  // No need to wrap, iterator already has the right type.
  template<typename _Iterator>
    _GLIBCXX20_CONSTEXPR
    inline _Iterator
    __niter_wrap(const _Iterator&, _Iterator __res)
    { return __res; }

  // 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 _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move
    {
      template<typename _II, typename _OI>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        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;
        }
    };

  // 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>
    _GLIBCXX20_CONSTEXPR
    inline _OI
    __copy_move_a2(_II __first, _II __last, _OI __result)
    {
      typedef typename iterator_traits<_II>::iterator_category _Category;
#ifdef __cpp_lib_is_constant_evaluated
      if (std::is_constant_evaluated())
        return std::__copy_move<_IsMove, false, _Category>::
          __copy_m(__first, __last, __result);
#endif
      return std::__copy_move<_IsMove, __memcpyable<_OI, _II>::__value,
                              _Category>::__copy_m(__first, __last, __result);
    }

_GLIBCXX_BEGIN_NAMESPACE_CONTAINER

  template<typename _Tp, typename _Ref, typename _Ptr>
    struct _Deque_iterator;

_GLIBCXX_END_NAMESPACE_CONTAINER

  template<bool _IsMove,
           typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_a1(_GLIBCXX_STD_C::_Deque_iterator<_Tp, _Ref, _Ptr>,
                   _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Ref, _Ptr>,
                   _OI);

  template<bool _IsMove,
           typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    _GLIBCXX_STD_C::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_a1(_GLIBCXX_STD_C::_Deque_iterator<_ITp, _IRef, _IPtr>,
                   _GLIBCXX_STD_C::_Deque_iterator<_ITp, _IRef, _IPtr>,
                   _GLIBCXX_STD_C::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_a1(_II, _II, _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
    _GLIBCXX20_CONSTEXPR
    inline _OI
    __copy_move_a1(_II __first, _II __last, _OI __result)
    { return std::__copy_move_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove, typename _II, typename _OI>
    _GLIBCXX20_CONSTEXPR
    inline _OI
    __copy_move_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
                std::__copy_move_a1<_IsMove>(std::__niter_base(__first),
                                             std::__niter_base(__last),
                                             std::__niter_base(__result)));
    }

  template<bool _IsMove,
           typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
                  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
                  _OI);

  template<bool _IsMove,
           typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_a(_II, _II,
                  const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
           typename _IIte, typename _ISeq, typename _ICat,
           typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_a(const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
                  const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
                  const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);

  /**
   *  @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>
    _GLIBCXX20_CONSTEXPR
    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_can_increment_range(__first, __last, __result);

      return std::__copy_move_a<__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>
    _GLIBCXX20_CONSTEXPR
    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_can_increment_range(__first, __last, __result);

      return std::__copy_move_a<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 _IsMove, bool _IsSimple, typename _Category>
    struct __copy_move_backward
    {
      template<typename _BI1, typename _BI2>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        static _BI2
        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
        {
          typename iterator_traits<_BI1>::difference_type
            __n = __last - __first;
          for (; __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>
        _GLIBCXX20_CONSTEXPR
        static _BI2
        __copy_move_b(_BI1 __first, _BI1 __last, _BI2 __result)
        {
          typename iterator_traits<_BI1>::difference_type
            __n = __last - __first;
          for (; __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>
        _GLIBCXX20_CONSTEXPR
        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>
    _GLIBCXX20_CONSTEXPR
    inline _BI2
    __copy_move_backward_a2(_BI1 __first, _BI1 __last, _BI2 __result)
    {
      typedef typename iterator_traits<_BI1>::iterator_category _Category;
#ifdef __cpp_lib_is_constant_evaluated
      if (std::is_constant_evaluated())
        return std::__copy_move_backward<_IsMove, false, _Category>::
          __copy_move_b(__first, __last, __result);
#endif
      return std::__copy_move_backward<_IsMove,
                                       __memcpyable<_BI2, _BI1>::__value,
                                       _Category>::__copy_move_b(__first,
                                                                 __last,
                                                                 __result);
    }

  template<bool _IsMove, typename _BI1, typename _BI2>
    _GLIBCXX20_CONSTEXPR
    inline _BI2
    __copy_move_backward_a1(_BI1 __first, _BI1 __last, _BI2 __result)
    { return std::__copy_move_backward_a2<_IsMove>(__first, __last, __result); }

  template<bool _IsMove,
           typename _Tp, typename _Ref, typename _Ptr, typename _OI>
    _OI
    __copy_move_backward_a1(_GLIBCXX_STD_C::_Deque_iterator<_Tp, _Ref, _Ptr>,
                            _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Ref, _Ptr>,
                            _OI);

  template<bool _IsMove,
           typename _ITp, typename _IRef, typename _IPtr, typename _OTp>
    _GLIBCXX_STD_C::_Deque_iterator<_OTp, _OTp&, _OTp*>
    __copy_move_backward_a1(
                        _GLIBCXX_STD_C::_Deque_iterator<_ITp, _IRef, _IPtr>,
                        _GLIBCXX_STD_C::_Deque_iterator<_ITp, _IRef, _IPtr>,
                        _GLIBCXX_STD_C::_Deque_iterator<_OTp, _OTp&, _OTp*>);

  template<bool _IsMove, typename _II, typename _Tp>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value,
      _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Tp&, _Tp*> >::__type
    __copy_move_backward_a1(_II, _II,
                            _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Tp&, _Tp*>);

  template<bool _IsMove, typename _II, typename _OI>
    _GLIBCXX20_CONSTEXPR
    inline _OI
    __copy_move_backward_a(_II __first, _II __last, _OI __result)
    {
      return std::__niter_wrap(__result,
                std::__copy_move_backward_a1<_IsMove>
                  (std::__niter_base(__first), std::__niter_base(__last),
                   std::__niter_base(__result)));
    }

  template<bool _IsMove,
           typename _Ite, typename _Seq, typename _Cat, typename _OI>
    _OI
    __copy_move_backward_a(
                const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
                const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
                _OI);

  template<bool _IsMove,
           typename _II, typename _Ite, typename _Seq, typename _Cat>
    __gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __copy_move_backward_a(_II, _II,
                const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&);

  template<bool _IsMove,
           typename _IIte, typename _ISeq, typename _ICat,
           typename _OIte, typename _OSeq, typename _OCat>
    ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>
    __copy_move_backward_a(
                const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
                const ::__gnu_debug::_Safe_iterator<_IIte, _ISeq, _ICat>&,
                const ::__gnu_debug::_Safe_iterator<_OIte, _OSeq, _OCat>&);

  /**
   *  @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>
    _GLIBCXX20_CONSTEXPR
    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_can_decrement_range(__first, __last, __result);

      return std::__copy_move_backward_a<__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>
    _GLIBCXX20_CONSTEXPR
    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_can_decrement_range(__first, __last, __result);

      return std::__copy_move_backward_a<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>
    _GLIBCXX20_CONSTEXPR
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_ForwardIterator __first, _ForwardIterator __last,
              const _Tp& __value)
    {
      for (; __first != __last; ++__first)
        *__first = __value;
    }

  template<typename _ForwardIterator, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, void>::__type
    __fill_a1(_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_a1(_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);
    }

  template<typename _Ite, typename _Cont, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline void
    __fill_a1(::__gnu_cxx::__normal_iterator<_Ite, _Cont> __first,
              ::__gnu_cxx::__normal_iterator<_Ite, _Cont> __last,
              const _Tp& __value)
    { std::__fill_a1(__first.base(), __last.base(), __value); }

  template<typename _Tp, typename _VTp>
    void
    __fill_a1(const _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
              const _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Tp&, _Tp*>&,
              const _VTp&);

  template<typename _FIte, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline void
    __fill_a(_FIte __first, _FIte __last, const _Tp& __value)
    { std::__fill_a1(__first, __last, __value); }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Tp>
    void
    __fill_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
             const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>&,
             const _Tp&);

  /**
   *  @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>
    _GLIBCXX20_CONSTEXPR
    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(__first, __last, __value);
    }

  // Used by fill_n, generate_n, etc. to convert _Size to an integral type:
  inline _GLIBCXX_CONSTEXPR int
  __size_to_integer(int __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR unsigned
  __size_to_integer(unsigned __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR long
  __size_to_integer(long __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR unsigned long
  __size_to_integer(unsigned long __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR long long
  __size_to_integer(long long __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR unsigned long long
  __size_to_integer(unsigned long long __n) { return __n; }

#if defined(__GLIBCXX_TYPE_INT_N_0)
  inline _GLIBCXX_CONSTEXPR __GLIBCXX_TYPE_INT_N_0
  __size_to_integer(__GLIBCXX_TYPE_INT_N_0 __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR unsigned __GLIBCXX_TYPE_INT_N_0
  __size_to_integer(unsigned __GLIBCXX_TYPE_INT_N_0 __n) { return __n; }
#endif
#if defined(__GLIBCXX_TYPE_INT_N_1)
  inline _GLIBCXX_CONSTEXPR __GLIBCXX_TYPE_INT_N_1
  __size_to_integer(__GLIBCXX_TYPE_INT_N_1 __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR unsigned __GLIBCXX_TYPE_INT_N_1
  __size_to_integer(unsigned __GLIBCXX_TYPE_INT_N_1 __n) { return __n; }
#endif
#if defined(__GLIBCXX_TYPE_INT_N_2)
  inline _GLIBCXX_CONSTEXPR __GLIBCXX_TYPE_INT_N_2
  __size_to_integer(__GLIBCXX_TYPE_INT_N_2 __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR unsigned __GLIBCXX_TYPE_INT_N_2
  __size_to_integer(unsigned __GLIBCXX_TYPE_INT_N_2 __n) { return __n; }
#endif
#if defined(__GLIBCXX_TYPE_INT_N_3)
  inline _GLIBCXX_CONSTEXPR unsigned __GLIBCXX_TYPE_INT_N_3
  __size_to_integer(__GLIBCXX_TYPE_INT_N_3 __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR __GLIBCXX_TYPE_INT_N_3
  __size_to_integer(unsigned __GLIBCXX_TYPE_INT_N_3 __n) { return __n; }
#endif

  inline _GLIBCXX_CONSTEXPR long long
  __size_to_integer(float __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR long long
  __size_to_integer(double __n) { return __n; }
  inline _GLIBCXX_CONSTEXPR long long
  __size_to_integer(long double __n) { return __n; }
#if !defined(__STRICT_ANSI__) && defined(_GLIBCXX_USE_FLOAT128)
  inline _GLIBCXX_CONSTEXPR long long
  __size_to_integer(__float128 __n) { return __n; }
#endif

  template<typename _OutputIterator, typename _Size, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline typename
    __gnu_cxx::__enable_if<!__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      for (; __n > 0; --__n, (void) ++__first)
        *__first = __value;
      return __first;
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline typename
    __gnu_cxx::__enable_if<__is_scalar<_Tp>::__value, _OutputIterator>::__type
    __fill_n_a1(_OutputIterator __first, _Size __n, const _Tp& __value)
    {
      const _Tp __tmp = __value;
      for (; __n > 0; --__n, (void) ++__first)
        *__first = __tmp;
      return __first;
    }

  template<typename _Ite, typename _Seq, typename _Cat, typename _Size,
           typename _Tp>
    ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>
    __fill_n_a(const ::__gnu_debug::_Safe_iterator<_Ite, _Seq, _Cat>& __first,
               _Size __n, const _Tp& __value,
               std::input_iterator_tag);

  template<typename _OutputIterator, typename _Size, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
               std::output_iterator_tag)
    {
#if __cplusplus >= 201103L
      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");
#endif
      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
               std::input_iterator_tag)
    {
#if __cplusplus >= 201103L
      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");
#endif
      return __fill_n_a1(__first, __n, __value);
    }

  template<typename _OutputIterator, typename _Size, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline _OutputIterator
    __fill_n_a(_OutputIterator __first, _Size __n, const _Tp& __value,
               std::random_access_iterator_tag)
    {
#if __cplusplus >= 201103L
      static_assert(is_integral<_Size>{}, "fill_n must pass integral size");
#endif
      if (__n <= 0)
        return __first;

      __glibcxx_requires_can_increment(__first, __n);

      std::__fill_a(__first, __first + __n, __value);
      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 @c wmemset.
   *
   *  If @p __n is negative, the function does nothing.
  */
  // _GLIBCXX_RESOLVE_LIB_DEFECTS
  // DR 865. More algorithms that throw away information
  // DR 426. search_n(), fill_n(), and generate_n() with negative n
  template<typename _OI, typename _Size, typename _Tp>
    _GLIBCXX20_CONSTEXPR
    inline _OI
    fill_n(_OI __first, _Size __n, const _Tp& __value)
    {
      // concept requirements
      __glibcxx_function_requires(_OutputIteratorConcept<_OI, _Tp>)

      return std::__fill_n_a(__first, std::__size_to_integer(__n), __value,
                               std::__iterator_category(__first));
    }

  template<bool _BoolType>
    struct __equal
    {
      template<typename _II1, typename _II2>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        static bool
        equal(const _Tp* __first1, const _Tp* __last1, const _Tp* __first2)
        {
          if (const size_t __len = (__last1 - __first1))
            return !std::__memcmp(__first1, __first2, __len);
          return true;
        }
    };

  template<typename _Tp, typename _Ref, typename _Ptr, typename _II>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(_GLIBCXX_STD_C::_Deque_iterator<_Tp, _Ref, _Ptr>,
                 _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Ref, _Ptr>,
                 _II);

  template<typename _Tp1, typename _Ref1, typename _Ptr1,
           typename _Tp2, typename _Ref2, typename _Ptr2>
    bool
    __equal_aux1(_GLIBCXX_STD_C::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
                 _GLIBCXX_STD_C::_Deque_iterator<_Tp1, _Ref1, _Ptr1>,
                 _GLIBCXX_STD_C::_Deque_iterator<_Tp2, _Ref2, _Ptr2>);

  template<typename _II, typename _Tp, typename _Ref, typename _Ptr>
    typename __gnu_cxx::__enable_if<
      __is_random_access_iter<_II>::__value, bool>::__type
    __equal_aux1(_II, _II,
                _GLIBCXX_STD_C::_Deque_iterator<_Tp, _Ref, _Ptr>);

  template<typename _II1, typename _II2>
    _GLIBCXX20_CONSTEXPR
    inline bool
    __equal_aux1(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      typedef typename iterator_traits<_II1>::value_type _ValueType1;
      const bool __simple = ((__is_integer<_ValueType1>::__value
                              || __is_pointer<_ValueType1>::__value)
                             && __memcmpable<_II1, _II2>::__value);
      return std::__equal<__simple>::equal(__first1, __last1, __first2);
    }

  template<typename _II1, typename _II2>
    _GLIBCXX20_CONSTEXPR
    inline bool
    __equal_aux(_II1 __first1, _II1 __last1, _II2 __first2)
    {
      return std::__equal_aux1(std::__niter_base(__first1),
                               std::__niter_base(__last1),
                               std::__niter_base(__first2));
    }

  template<typename _II1, typename _Seq1, typename _Cat1, typename _II2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
                const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
                _II2);

  template<typename _II1, typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(_II1, _II1,
                const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename _II1, typename _Seq1, typename _Cat1,
           typename _II2, typename _Seq2, typename _Cat2>
    bool
    __equal_aux(const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
                const ::__gnu_debug::_Safe_iterator<_II1, _Seq1, _Cat1>&,
                const ::__gnu_debug::_Safe_iterator<_II2, _Seq2, _Cat2>&);

  template<typename, typename>
    struct __lc_rai
    {
      template<typename _II1, typename _II2>
        _GLIBCXX20_CONSTEXPR
        static _II1
        __newlast1(_II1, _II1 __last1, _II2, _II2)
        { return __last1; }

      template<typename _II>
        _GLIBCXX20_CONSTEXPR
        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>
        _GLIBCXX20_CONSTEXPR
        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 _GLIBCXX20_CONSTEXPR bool
        __cnd2(_RAI, _RAI)
        { return true; }
    };

  template<typename _II1, typename _II2, typename _Compare>
    _GLIBCXX20_CONSTEXPR
    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>
        _GLIBCXX20_CONSTEXPR
        static bool
        __lc(_II1 __first1, _II1 __last1, _II2 __first2, _II2 __last2)
        {
          using __gnu_cxx::__ops::__iter_less_iter;
          return std::__lexicographical_compare_impl(__first1, __last1,
                                                     __first2, __last2,
                                                     __iter_less_iter());
        }
    };

  template<>
    struct __lexicographical_compare<true>
    {
      template<typename _Tp, typename _Up>
        _GLIBCXX20_CONSTEXPR
        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 = std::__memcmp(__first1, __first2, __len))
              return __result < 0;
          return __len1 < __len2;
        }
    };

  template<typename _II1, typename _II2>
    _GLIBCXX20_CONSTEXPR
    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
#if __cplusplus > 201703L
         // For C++20 iterator_traits<volatile T*>::value_type is non-volatile
         // so __is_byte<T> could be true, but we can't use memcmp with
         // volatile data.
         && !is_volatile_v<remove_reference_t<iter_reference_t<_II1>>>
         && !is_volatile_v<remove_reference_t<iter_reference_t<_II2>>>
#endif
         );

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

  template<typename _ForwardIterator, typename _Tp, typename _Compare>
    _GLIBCXX20_CONSTEXPR
    _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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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_can_increment_range(__first1, __last1, __first2);

      return std::__equal_aux(__first1, __last1, __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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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));
    }

#if __cpp_lib_three_way_comparison
  // Iter points to a contiguous range of unsigned narrow character type
  // or std::byte, suitable for comparison by memcmp.
  template<typename _Iter>
    concept __is_byte_iter = contiguous_iterator<_Iter>
      && __is_byte<iter_value_t<_Iter>>::__value != 0
      && !__gnu_cxx::__numeric_traits<iter_value_t<_Iter>>::__is_signed;

  // Return a struct with two members, initialized to the smaller of x and y
  // (or x if they compare equal) and the result of the comparison x <=> y.
  template<typename _Tp>
    constexpr auto
    __min_cmp(_Tp __x, _Tp __y)
    {
      struct _Res {
        _Tp _M_min;
        decltype(__x <=> __y) _M_cmp;
      };
      auto __c = __x <=> __y;
      if (__c > 0)
        return _Res{__y, __c};
      return _Res{__x, __c};
    }

  /**
   *  @brief Performs 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   The comparison category that `__comp(*__first1, *__first2)`
   *            returns.
  */
  template<typename _InputIter1, typename _InputIter2, typename _Comp>
    constexpr auto
    lexicographical_compare_three_way(_InputIter1 __first1,
                                      _InputIter1 __last1,
                                      _InputIter2 __first2,
                                      _InputIter2 __last2,
                                      _Comp __comp)
    -> decltype(__comp(*__first1, *__first2))
    {
      // concept requirements
      __glibcxx_function_requires(_InputIteratorConcept<_InputIter1>)
      __glibcxx_function_requires(_InputIteratorConcept<_InputIter2>)
      __glibcxx_requires_valid_range(__first1, __last1);
      __glibcxx_requires_valid_range(__first2, __last2);

#if __cpp_lib_is_constant_evaluated
      using _Cat = decltype(__comp(*__first1, *__first2));
      static_assert(same_as<common_comparison_category_t<_Cat>, _Cat>);

      if (!std::is_constant_evaluated())
        if constexpr (same_as<_Comp, __detail::_Synth3way>
                      || same_as<_Comp, compare_three_way>)
          if constexpr (__is_byte_iter<_InputIter1>)
            if constexpr (__is_byte_iter<_InputIter2>)
              {
                const auto [__len, __lencmp]
                  = std::__min_cmp(__last1 - __first1, __last2 - __first2);
                if (__len)
                  {
                    const auto __c
                      = __builtin_memcmp(&*__first1, &*__first2, __len) <=> 0;
                    if (__c != 0)
                      return __c;
                  }
                return __lencmp;
              }
#endif // is_constant_evaluated
      while (__first1 != __last1)
        {
          if (__first2 == __last2)
            return strong_ordering::greater;
          if (auto __cmp = __comp(*__first1, *__first2); __cmp != 0)
            return __cmp;
          ++__first1;
          ++__first2;
        }
      return (__first2 == __last2) <=> true; // See PR 94006
    }

  template<typename _InputIter1, typename _InputIter2>
    constexpr auto
    lexicographical_compare_three_way(_InputIter1 __first1,
                                      _InputIter1 __last1,
                                      _InputIter2 __first2,
                                      _InputIter2 __last2)
    {
      return std::lexicographical_compare_three_way(__first1, __last1,
                                                    __first2, __last2,
                                                    compare_three_way{});
    }
#endif // three_way_comparison

  template<typename _InputIterator1, typename _InputIterator2,
           typename _BinaryPredicate>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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>
    _GLIBCXX20_CONSTEXPR
    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

  /// This is an overload used by find algos for the Input Iterator case.
  template<typename _InputIterator, typename _Predicate>
    _GLIBCXX20_CONSTEXPR
    inline _InputIterator
    __find_if(_InputIterator __first, _InputIterator __last,
              _Predicate __pred, input_iterator_tag)
    {
      while (__first != __last && !__pred(__first))
        ++__first;
      return __first;
    }

  /// This is an overload used by find algos for the RAI case.
  template<typename _RandomAccessIterator, typename _Predicate>
    _GLIBCXX20_CONSTEXPR
    _RandomAccessIterator
    __find_if(_RandomAccessIterator __first, _RandomAccessIterator __last,
              _Predicate __pred, random_access_iterator_tag)
    {
      typename iterator_traits<_RandomAccessIterator>::difference_type
        __trip_count = (__last - __first) >> 2;

      for (; __trip_count > 0; --__trip_count)
        {
          if (__pred(__first))
            return __first;
          ++__first;

          if (__pred(__first))
            return __first;
          ++__first;

          if (__pred(__first))
            return __first;
          ++__first;

          if (__pred(__first))
            return __first;
          ++__first;
        }

      switch (__last - __first)
        {
        case 3:
          if (__pred(__first))
            return __first;
          ++__first;
        case 2:
          if (__pred(__first))
            return __first;
          ++__first;
        case 1:
          if (__pred(__first))
            return __first;
          ++__first;
        case 0:
        default:
          return __last;
        }
    }

  template<typename _Iterator, typename _Predicate>
    _GLIBCXX20_CONSTEXPR
    inline _Iterator
    __find_if(_Iterator __first, _Iterator __last, _Predicate __pred)
    {
      return __find_if(__first, __last, __pred,
                       std::__iterator_category(__first));
    }

  template<typename _InputIterator, typename _Predicate>
    _GLIBCXX20_CONSTEXPR
    typename iterator_traits<_InputIterator>::difference_type
    __count_if(_InputIterator __first, _InputIterator __last, _Predicate __pred)
    {
      typename iterator_traits<_InputIterator>::difference_type __n = 0;
      for (; __first != __last; ++__first)
        if (__pred(__first))
          ++__n;
      return __n;
    }

#if __cplusplus >= 201103L
  template<typename _ForwardIterator1, typename _ForwardIterator2,
           typename _BinaryPredicate>
    _GLIBCXX20_CONSTEXPR
    bool
    __is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
                     _ForwardIterator2 __first2, _BinaryPredicate __pred)
    {
      // Efficiently compare identical prefixes:  O(N) if sequences
      // have the same elements in the same order.
      for (; __first1 != __last1; ++__first1, (void)++__first2)
        if (!__pred(__first1, __first2))
          break;

      if (__first1 == __last1)
        return true;

      // Establish __last2 assuming equal ranges by iterating over the
      // rest of the list.
      _ForwardIterator2 __last2 = __first2;
      std::advance(__last2, std::distance(__first1, __last1));
      for (_ForwardIterator1 __scan = __first1; __scan != __last1; ++__scan)
        {
          if (__scan != std::__find_if(__first1, __scan,
                          __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan)))
            continue; // We've seen this one before.

          auto __matches
            = std::__count_if(__first2, __last2,
                        __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan));
          if (0 == __matches ||
              std::__count_if(__scan, __last1,
                        __gnu_cxx::__ops::__iter_comp_iter(__pred, __scan))
              != __matches)
            return false;
        }
      return true;
    }

  /**
   *  @brief  Checks whether a permutation of the second sequence is equal
   *          to the first sequence.
   *  @ingroup non_mutating_algorithms
   *  @param  __first1  Start of first range.
   *  @param  __last1   End of first range.
   *  @param  __first2  Start of second range.
   *  @return true if there exists a permutation of the elements in the range
   *          [__first2, __first2 + (__last1 - __first1)), beginning with
   *          ForwardIterator2 begin, such that equal(__first1, __last1, begin)
   *          returns true; otherwise, returns false.
  */
  template<typename _ForwardIterator1, typename _ForwardIterator2>
    _GLIBCXX20_CONSTEXPR
    inline bool
    is_permutation(_ForwardIterator1 __first1, _ForwardIterator1 __last1,
                   _ForwardIterator2 __first2)
    {
      // concept requirements
      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator1>)
      __glibcxx_function_requires(_ForwardIteratorConcept<_ForwardIterator2>)
      __glibcxx_function_requires(_EqualOpConcept<
                typename iterator_traits<_ForwardIterator1>::value_type,
                typename iterator_traits<_ForwardIterator2>::value_type>)
      __glibcxx_requires_valid_range(__first1, __last1);

      return std::__is_permutation(__first1, __last1, __first2,
                                   __gnu_cxx::__ops::__iter_equal_to_iter());
    }
#endif // C++11

_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