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- // <bit> -*- C++ -*-
- // Copyright (C) 2018-2019 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/>.
- /** @file include/bit
- * This is a Standard C++ Library header.
- */
- #ifndef _GLIBCXX_BIT
- #define _GLIBCXX_BIT 1
- #pragma GCC system_header
- #if __cplusplus >= 201402L
- #include <type_traits>
- #include <limits>
- namespace std _GLIBCXX_VISIBILITY(default)
- {
- _GLIBCXX_BEGIN_NAMESPACE_VERSION
- template<typename _Tp>
- constexpr _Tp
- __rotl(_Tp __x, int __s) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- const int __r = __s % _Nd;
- if (__r == 0)
- return __x;
- else if (__r > 0)
- return (__x << __r) | (__x >> ((_Nd - __r) % _Nd));
- else
- return (__x >> -__r) | (__x << ((_Nd + __r) % _Nd)); // rotr(x, -r)
- }
- template<typename _Tp>
- constexpr _Tp
- __rotr(_Tp __x, int __s) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- const int __r = __s % _Nd;
- if (__r == 0)
- return __x;
- else if (__r > 0)
- return (__x >> __r) | (__x << ((_Nd - __r) % _Nd));
- else
- return (__x << -__r) | (__x >> ((_Nd + __r) % _Nd)); // rotl(x, -r)
- }
- template<typename _Tp>
- constexpr int
- __countl_zero(_Tp __x) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- if (__x == 0)
- return _Nd;
- constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
- constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
- constexpr auto _Nd_u = numeric_limits<unsigned>::digits;
- if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
- {
- constexpr int __diff = _Nd_u - _Nd;
- return __builtin_clz(__x) - __diff;
- }
- else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
- {
- constexpr int __diff = _Nd_ul - _Nd;
- return __builtin_clzl(__x) - __diff;
- }
- else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
- {
- constexpr int __diff = _Nd_ull - _Nd;
- return __builtin_clzll(__x) - __diff;
- }
- else // (_Nd > _Nd_ull)
- {
- static_assert(_Nd <= (2 * _Nd_ull),
- "Maximum supported integer size is 128-bit");
- unsigned long long __high = __x >> _Nd_ull;
- if (__high != 0)
- {
- constexpr int __diff = (2 * _Nd_ull) - _Nd;
- return __builtin_clzll(__high) - __diff;
- }
- constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
- unsigned long long __low = __x & __max_ull;
- return (_Nd - _Nd_ull) + __builtin_clzll(__low);
- }
- }
- template<typename _Tp>
- constexpr int
- __countl_one(_Tp __x) noexcept
- {
- if (__x == numeric_limits<_Tp>::max())
- return numeric_limits<_Tp>::digits;
- return std::__countl_zero<_Tp>((_Tp)~__x);
- }
- template<typename _Tp>
- constexpr int
- __countr_zero(_Tp __x) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- if (__x == 0)
- return _Nd;
- constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
- constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
- constexpr auto _Nd_u = numeric_limits<unsigned>::digits;
- if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
- return __builtin_ctz(__x);
- else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
- return __builtin_ctzl(__x);
- else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
- return __builtin_ctzll(__x);
- else // (_Nd > _Nd_ull)
- {
- static_assert(_Nd <= (2 * _Nd_ull),
- "Maximum supported integer size is 128-bit");
- constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
- unsigned long long __low = __x & __max_ull;
- if (__low != 0)
- return __builtin_ctzll(__low);
- unsigned long long __high = __x >> _Nd_ull;
- return __builtin_ctzll(__high) + _Nd_ull;
- }
- }
- template<typename _Tp>
- constexpr int
- __countr_one(_Tp __x) noexcept
- {
- if (__x == numeric_limits<_Tp>::max())
- return numeric_limits<_Tp>::digits;
- return std::__countr_zero((_Tp)~__x);
- }
- template<typename _Tp>
- constexpr int
- __popcount(_Tp __x) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- if (__x == 0)
- return 0;
- constexpr auto _Nd_ull = numeric_limits<unsigned long long>::digits;
- constexpr auto _Nd_ul = numeric_limits<unsigned long>::digits;
- constexpr auto _Nd_u = numeric_limits<unsigned>::digits;
- if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
- return __builtin_popcount(__x);
- else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
- return __builtin_popcountl(__x);
- else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
- return __builtin_popcountll(__x);
- else // (_Nd > _Nd_ull)
- {
- static_assert(_Nd <= (2 * _Nd_ull),
- "Maximum supported integer size is 128-bit");
- constexpr auto __max_ull = numeric_limits<unsigned long long>::max();
- unsigned long long __low = __x & __max_ull;
- unsigned long long __high = __x >> _Nd_ull;
- return __builtin_popcountll(__low) + __builtin_popcountll(__high);
- }
- }
- template<typename _Tp>
- constexpr bool
- __ispow2(_Tp __x) noexcept
- { return std::__popcount(__x) == 1; }
- template<typename _Tp>
- constexpr _Tp
- __ceil2(_Tp __x) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- if (__x == 0 || __x == 1)
- return 1;
- auto __shift_exponent = _Nd - std::__countl_zero((_Tp)(__x - 1u));
- // If the shift exponent equals _Nd then the correct result is not
- // representable as a value of _Tp, and so the result is undefined.
- // Want that undefined behaviour to be detected in constant expressions,
- // by UBSan, and by debug assertions.
- #ifdef _GLIBCXX_HAVE_BUILTIN_IS_CONSTANT_EVALUATED
- if (!__builtin_is_constant_evaluated())
- __glibcxx_assert( __shift_exponent != numeric_limits<_Tp>::digits );
- #endif
- using __promoted_type = decltype(__x << 1);
- if _GLIBCXX17_CONSTEXPR (!is_same<__promoted_type, _Tp>::value)
- {
- // If __x undergoes integral promotion then shifting by _Nd is
- // not undefined. In order to make the shift undefined, so that
- // it is diagnosed in constant expressions and by UBsan, we also
- // need to "promote" the shift exponent to be too large for the
- // promoted type.
- const int __extra_exp = sizeof(__promoted_type) / sizeof(_Tp) / 2;
- __shift_exponent |= (__shift_exponent & _Nd) << __extra_exp;
- }
- return (_Tp)1u << __shift_exponent;
- }
- template<typename _Tp>
- constexpr _Tp
- __floor2(_Tp __x) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- if (__x == 0)
- return 0;
- return (_Tp)1u << (_Nd - std::__countl_zero((_Tp)(__x >> 1)));
- }
- template<typename _Tp>
- constexpr _Tp
- __log2p1(_Tp __x) noexcept
- {
- constexpr auto _Nd = numeric_limits<_Tp>::digits;
- return _Nd - std::__countl_zero(__x);
- }
- #if __cplusplus > 201703L
- template<typename _Tp, typename _Up, bool = is_integral_v<_Tp>>
- struct _If_is_unsigned_integer_type { };
- template<typename _Up>
- struct _If_is_unsigned_integer_type<bool, _Up, true> { };
- template<typename _Tp, typename _Up>
- struct _If_is_unsigned_integer_type<_Tp, _Up, true>
- : enable_if<is_same_v<_Tp, make_unsigned_t<_Tp>>, _Up> { };
- template<typename _Tp, typename _Up = _Tp>
- using _If_is_unsigned_integer
- = typename _If_is_unsigned_integer_type<remove_cv_t<_Tp>, _Up>::type;
- // [bit.rot], rotating
- template<typename _Tp>
- [[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
- rotl(_Tp __x, int __s) noexcept
- { return std::__rotl(__x, __s); }
- template<typename _Tp>
- [[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
- rotr(_Tp __x, int __s) noexcept
- { return std::__rotr(__x, __s); }
- // [bit.count], counting
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countl_zero(_Tp __x) noexcept
- { return std::__countl_zero(__x); }
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countl_one(_Tp __x) noexcept
- { return std::__countl_one(__x); }
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countr_zero(_Tp __x) noexcept
- { return std::__countr_zero(__x); }
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countr_one(_Tp __x) noexcept
- { return std::__countr_one(__x); }
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- popcount(_Tp __x) noexcept
- { return std::__popcount(__x); }
- // [bit.pow.two], integral powers of 2
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, bool>
- ispow2(_Tp __x) noexcept
- { return std::__ispow2(__x); }
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp>
- ceil2(_Tp __x) noexcept
- { return std::__ceil2(__x); }
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp>
- floor2(_Tp __x) noexcept
- { return std::__floor2(__x); }
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp>
- log2p1(_Tp __x) noexcept
- { return std::__log2p1(__x); }
- #define __cpp_lib_endian 201907L
- /// Byte order
- enum class endian
- {
- little = __ORDER_LITTLE_ENDIAN__,
- big = __ORDER_BIG_ENDIAN__,
- native = __BYTE_ORDER__
- };
- #endif // C++2a
- _GLIBCXX_END_NAMESPACE_VERSION
- } // namespace std
- #endif // C++14
- #endif // _GLIBCXX_BIT
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