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414 lines
12 KiB
414 lines
12 KiB
// <bit> -*- C++ -*-
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// Copyright (C) 2018-2021 Free Software Foundation, Inc.
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//
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// This file is part of the GNU ISO C++ Library. This library is free
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// software; you can redistribute it and/or modify it under the
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// terms of the GNU General Public License as published by the
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// Free Software Foundation; either version 3, or (at your option)
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// any later version.
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// This library is distributed in the hope that it will be useful,
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// but WITHOUT ANY WARRANTY; without even the implied warranty of
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// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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// GNU General Public License for more details.
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// Under Section 7 of GPL version 3, you are granted additional
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// permissions described in the GCC Runtime Library Exception, version
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// 3.1, as published by the Free Software Foundation.
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// You should have received a copy of the GNU General Public License and
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// a copy of the GCC Runtime Library Exception along with this program;
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// see the files COPYING3 and COPYING.RUNTIME respectively. If not, see
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// <http://www.gnu.org/licenses/>.
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/** @file include/bit
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* This is a Standard C++ Library header.
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*/
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#ifndef _GLIBCXX_BIT
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#define _GLIBCXX_BIT 1
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#pragma GCC system_header
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#if __cplusplus >= 201402L
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#include <type_traits>
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#if _GLIBCXX_HOSTED
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# include <ext/numeric_traits.h>
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#else
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# include <limits>
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/// @cond undocumented
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namespace __gnu_cxx
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{
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template<typename _Tp>
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struct __int_traits
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{
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static constexpr int __digits = std::numeric_limits<_Tp>::digits;
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static constexpr _Tp __max = std::numeric_limits<_Tp>::max();
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};
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}
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/// @endcond
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#endif
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namespace std _GLIBCXX_VISIBILITY(default)
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{
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_GLIBCXX_BEGIN_NAMESPACE_VERSION
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/**
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* @defgroup bit_manip Bit manipulation
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* @ingroup numerics
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*
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* Utilities for examining and manipulating individual bits.
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*
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* @{
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*/
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#if __cplusplus > 201703l && __has_builtin(__builtin_bit_cast)
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#define __cpp_lib_bit_cast 201806L
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/// Create a value of type `To` from the bits of `from`.
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template<typename _To, typename _From>
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[[nodiscard]]
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constexpr _To
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bit_cast(const _From& __from) noexcept
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#ifdef __cpp_concepts
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requires (sizeof(_To) == sizeof(_From))
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&& __is_trivially_copyable(_To) && __is_trivially_copyable(_From)
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#endif
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{
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return __builtin_bit_cast(_To, __from);
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}
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#endif
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/// @cond undoc
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template<typename _Tp>
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constexpr _Tp
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__rotl(_Tp __x, int __s) noexcept
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{
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constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
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if _GLIBCXX17_CONSTEXPR ((_Nd & (_Nd - 1)) == 0)
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{
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// Variant for power of two _Nd which the compiler can
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// easily pattern match.
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constexpr unsigned __uNd = _Nd;
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const unsigned __r = __s;
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return (__x << (__r % __uNd)) | (__x >> ((-__r) % __uNd));
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}
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const int __r = __s % _Nd;
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if (__r == 0)
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return __x;
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else if (__r > 0)
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return (__x << __r) | (__x >> ((_Nd - __r) % _Nd));
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else
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return (__x >> -__r) | (__x << ((_Nd + __r) % _Nd)); // rotr(x, -r)
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}
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template<typename _Tp>
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constexpr _Tp
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__rotr(_Tp __x, int __s) noexcept
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{
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constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
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if _GLIBCXX17_CONSTEXPR ((_Nd & (_Nd - 1)) == 0)
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{
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// Variant for power of two _Nd which the compiler can
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// easily pattern match.
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constexpr unsigned __uNd = _Nd;
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const unsigned __r = __s;
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return (__x >> (__r % __uNd)) | (__x << ((-__r) % __uNd));
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}
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const int __r = __s % _Nd;
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if (__r == 0)
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return __x;
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else if (__r > 0)
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return (__x >> __r) | (__x << ((_Nd - __r) % _Nd));
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else
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return (__x << -__r) | (__x >> ((_Nd + __r) % _Nd)); // rotl(x, -r)
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}
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template<typename _Tp>
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constexpr int
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__countl_zero(_Tp __x) noexcept
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{
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using __gnu_cxx::__int_traits;
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constexpr auto _Nd = __int_traits<_Tp>::__digits;
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if (__x == 0)
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return _Nd;
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constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
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constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
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constexpr auto _Nd_u = __int_traits<unsigned>::__digits;
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if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
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{
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constexpr int __diff = _Nd_u - _Nd;
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return __builtin_clz(__x) - __diff;
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}
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else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
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{
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constexpr int __diff = _Nd_ul - _Nd;
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return __builtin_clzl(__x) - __diff;
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}
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else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
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{
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constexpr int __diff = _Nd_ull - _Nd;
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return __builtin_clzll(__x) - __diff;
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}
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else // (_Nd > _Nd_ull)
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{
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static_assert(_Nd <= (2 * _Nd_ull),
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"Maximum supported integer size is 128-bit");
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unsigned long long __high = __x >> _Nd_ull;
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if (__high != 0)
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{
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constexpr int __diff = (2 * _Nd_ull) - _Nd;
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return __builtin_clzll(__high) - __diff;
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}
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constexpr auto __max_ull = __int_traits<unsigned long long>::__max;
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unsigned long long __low = __x & __max_ull;
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return (_Nd - _Nd_ull) + __builtin_clzll(__low);
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}
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}
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template<typename _Tp>
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constexpr int
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__countl_one(_Tp __x) noexcept
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{
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return std::__countl_zero<_Tp>((_Tp)~__x);
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}
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template<typename _Tp>
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constexpr int
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__countr_zero(_Tp __x) noexcept
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{
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using __gnu_cxx::__int_traits;
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constexpr auto _Nd = __int_traits<_Tp>::__digits;
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if (__x == 0)
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return _Nd;
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constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
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constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
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constexpr auto _Nd_u = __int_traits<unsigned>::__digits;
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if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
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return __builtin_ctz(__x);
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else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
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return __builtin_ctzl(__x);
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else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
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return __builtin_ctzll(__x);
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else // (_Nd > _Nd_ull)
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{
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static_assert(_Nd <= (2 * _Nd_ull),
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"Maximum supported integer size is 128-bit");
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constexpr auto __max_ull = __int_traits<unsigned long long>::__max;
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unsigned long long __low = __x & __max_ull;
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if (__low != 0)
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return __builtin_ctzll(__low);
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unsigned long long __high = __x >> _Nd_ull;
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return __builtin_ctzll(__high) + _Nd_ull;
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}
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}
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template<typename _Tp>
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constexpr int
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__countr_one(_Tp __x) noexcept
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{
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return std::__countr_zero((_Tp)~__x);
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}
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template<typename _Tp>
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constexpr int
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__popcount(_Tp __x) noexcept
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{
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using __gnu_cxx::__int_traits;
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constexpr auto _Nd = __int_traits<_Tp>::__digits;
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constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
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constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
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constexpr auto _Nd_u = __int_traits<unsigned>::__digits;
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if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
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return __builtin_popcount(__x);
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else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
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return __builtin_popcountl(__x);
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else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
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return __builtin_popcountll(__x);
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else // (_Nd > _Nd_ull)
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{
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static_assert(_Nd <= (2 * _Nd_ull),
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"Maximum supported integer size is 128-bit");
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constexpr auto __max_ull = __int_traits<unsigned long long>::__max;
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unsigned long long __low = __x & __max_ull;
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unsigned long long __high = __x >> _Nd_ull;
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return __builtin_popcountll(__low) + __builtin_popcountll(__high);
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}
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}
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template<typename _Tp>
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constexpr bool
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__has_single_bit(_Tp __x) noexcept
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{ return std::__popcount(__x) == 1; }
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template<typename _Tp>
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constexpr _Tp
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__bit_ceil(_Tp __x) noexcept
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{
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using __gnu_cxx::__int_traits;
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constexpr auto _Nd = __int_traits<_Tp>::__digits;
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if (__x == 0 || __x == 1)
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return 1;
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auto __shift_exponent = _Nd - std::__countl_zero((_Tp)(__x - 1u));
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// If the shift exponent equals _Nd then the correct result is not
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// representable as a value of _Tp, and so the result is undefined.
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// Want that undefined behaviour to be detected in constant expressions,
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// by UBSan, and by debug assertions.
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#ifdef _GLIBCXX_HAVE_BUILTIN_IS_CONSTANT_EVALUATED
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if (!__builtin_is_constant_evaluated())
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{
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__glibcxx_assert( __shift_exponent != __int_traits<_Tp>::__digits );
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}
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#endif
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using __promoted_type = decltype(__x << 1);
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if _GLIBCXX17_CONSTEXPR (!is_same<__promoted_type, _Tp>::value)
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{
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// If __x undergoes integral promotion then shifting by _Nd is
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// not undefined. In order to make the shift undefined, so that
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// it is diagnosed in constant expressions and by UBsan, we also
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// need to "promote" the shift exponent to be too large for the
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// promoted type.
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const int __extra_exp = sizeof(__promoted_type) / sizeof(_Tp) / 2;
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__shift_exponent |= (__shift_exponent & _Nd) << __extra_exp;
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}
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return (_Tp)1u << __shift_exponent;
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}
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template<typename _Tp>
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constexpr _Tp
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__bit_floor(_Tp __x) noexcept
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{
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constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
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if (__x == 0)
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return 0;
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return (_Tp)1u << (_Nd - std::__countl_zero((_Tp)(__x >> 1)));
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}
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template<typename _Tp>
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constexpr _Tp
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__bit_width(_Tp __x) noexcept
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{
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constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
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return _Nd - std::__countl_zero(__x);
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}
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/// @endcond
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#if __cplusplus > 201703L
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#define __cpp_lib_bitops 201907L
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/// @cond undoc
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template<typename _Tp, typename _Up = _Tp>
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using _If_is_unsigned_integer
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= enable_if_t<__is_unsigned_integer<_Tp>::value, _Up>;
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/// @endcond
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// [bit.rot], rotating
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/// Rotate `x` to the left by `s` bits.
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template<typename _Tp>
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[[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
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rotl(_Tp __x, int __s) noexcept
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{ return std::__rotl(__x, __s); }
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/// Rotate `x` to the right by `s` bits.
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template<typename _Tp>
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[[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
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rotr(_Tp __x, int __s) noexcept
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{ return std::__rotr(__x, __s); }
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// [bit.count], counting
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/// The number of contiguous zero bits, starting from the highest bit.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp, int>
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countl_zero(_Tp __x) noexcept
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{ return std::__countl_zero(__x); }
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/// The number of contiguous one bits, starting from the highest bit.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp, int>
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countl_one(_Tp __x) noexcept
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{ return std::__countl_one(__x); }
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/// The number of contiguous zero bits, starting from the lowest bit.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp, int>
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countr_zero(_Tp __x) noexcept
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{ return std::__countr_zero(__x); }
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/// The number of contiguous one bits, starting from the lowest bit.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp, int>
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countr_one(_Tp __x) noexcept
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{ return std::__countr_one(__x); }
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/// The number of bits set in `x`.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp, int>
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popcount(_Tp __x) noexcept
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{ return std::__popcount(__x); }
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// [bit.pow.two], integral powers of 2
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#define __cpp_lib_int_pow2 202002L
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/// True if `x` is a power of two, false otherwise.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp, bool>
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has_single_bit(_Tp __x) noexcept
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{ return std::__has_single_bit(__x); }
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/// The smallest power-of-two not less than `x`.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp>
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bit_ceil(_Tp __x) noexcept
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{ return std::__bit_ceil(__x); }
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/// The largest power-of-two not greater than `x`.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp>
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bit_floor(_Tp __x) noexcept
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{ return std::__bit_floor(__x); }
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/// The smallest integer greater than the base-2 logarithm of `x`.
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template<typename _Tp>
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constexpr _If_is_unsigned_integer<_Tp>
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bit_width(_Tp __x) noexcept
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{ return std::__bit_width(__x); }
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#define __cpp_lib_endian 201907L
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/// Byte order
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enum class endian
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{
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little = __ORDER_LITTLE_ENDIAN__,
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big = __ORDER_BIG_ENDIAN__,
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native = __BYTE_ORDER__
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};
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#endif // C++2a
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/// @}
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_GLIBCXX_END_NAMESPACE_VERSION
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} // namespace std
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#endif // C++14
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#endif // _GLIBCXX_BIT
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