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- // <bit> -*- C++ -*-
-
- // Copyright (C) 2018-2020 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/>.
-
- /** @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 <ext/numeric_traits.h>
-
- namespace std _GLIBCXX_VISIBILITY(default)
- {
- _GLIBCXX_BEGIN_NAMESPACE_VERSION
-
- /**
- * @defgroup bit_manip Bit manipulation
- * @ingroup numerics
- *
- * Utilities for examining and manipulating individual bits.
- *
- * @{
- */
-
- /// @cond undoc
-
- template<typename _Tp>
- constexpr _Tp
- __rotl(_Tp __x, int __s) noexcept
- {
- constexpr auto _Nd = __gnu_cxx::__int_traits<_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 = __gnu_cxx::__int_traits<_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
- {
- using __gnu_cxx::__int_traits;
- constexpr auto _Nd = __int_traits<_Tp>::__digits;
-
- if (__x == 0)
- return _Nd;
-
- constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
- constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
- constexpr auto _Nd_u = __int_traits<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 = __int_traits<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 == __gnu_cxx::__int_traits<_Tp>::__max)
- return __gnu_cxx::__int_traits<_Tp>::__digits;
- return std::__countl_zero<_Tp>((_Tp)~__x);
- }
-
- template<typename _Tp>
- constexpr int
- __countr_zero(_Tp __x) noexcept
- {
- using __gnu_cxx::__int_traits;
- constexpr auto _Nd = __int_traits<_Tp>::__digits;
-
- if (__x == 0)
- return _Nd;
-
- constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
- constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
- constexpr auto _Nd_u = __int_traits<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 = __int_traits<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 == __gnu_cxx::__int_traits<_Tp>::__max)
- return __gnu_cxx::__int_traits<_Tp>::__digits;
- return std::__countr_zero((_Tp)~__x);
- }
-
- template<typename _Tp>
- constexpr int
- __popcount(_Tp __x) noexcept
- {
- using __gnu_cxx::__int_traits;
- constexpr auto _Nd = __int_traits<_Tp>::__digits;
-
- if (__x == 0)
- return 0;
-
- constexpr auto _Nd_ull = __int_traits<unsigned long long>::__digits;
- constexpr auto _Nd_ul = __int_traits<unsigned long>::__digits;
- constexpr auto _Nd_u = __int_traits<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 = __int_traits<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
- __has_single_bit(_Tp __x) noexcept
- { return std::__popcount(__x) == 1; }
-
- template<typename _Tp>
- constexpr _Tp
- __bit_ceil(_Tp __x) noexcept
- {
- using __gnu_cxx::__int_traits;
- constexpr auto _Nd = __int_traits<_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 != __int_traits<_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
- __bit_floor(_Tp __x) noexcept
- {
- constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
- if (__x == 0)
- return 0;
- return (_Tp)1u << (_Nd - std::__countl_zero((_Tp)(__x >> 1)));
- }
-
- template<typename _Tp>
- constexpr _Tp
- __bit_width(_Tp __x) noexcept
- {
- constexpr auto _Nd = __gnu_cxx::__int_traits<_Tp>::__digits;
- return _Nd - std::__countl_zero(__x);
- }
-
- /// @endcond
-
- #if __cplusplus > 201703L
-
- #define __cpp_lib_bitops 201907L
-
- /// @cond undoc
- template<typename _Tp, typename _Up = _Tp>
- using _If_is_unsigned_integer
- = enable_if_t<__is_unsigned_integer<_Tp>::value, _Up>;
- /// @endcond
-
- // [bit.rot], rotating
-
- /// Rotate `x` to the left by `s` bits.
- template<typename _Tp>
- [[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
- rotl(_Tp __x, int __s) noexcept
- { return std::__rotl(__x, __s); }
-
- /// Rotate `x` to the right by `s` bits.
- template<typename _Tp>
- [[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
- rotr(_Tp __x, int __s) noexcept
- { return std::__rotr(__x, __s); }
-
- // [bit.count], counting
-
- /// The number of contiguous zero bits, starting from the highest bit.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countl_zero(_Tp __x) noexcept
- { return std::__countl_zero(__x); }
-
- /// The number of contiguous one bits, starting from the highest bit.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countl_one(_Tp __x) noexcept
- { return std::__countl_one(__x); }
-
- /// The number of contiguous zero bits, starting from the lowest bit.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countr_zero(_Tp __x) noexcept
- { return std::__countr_zero(__x); }
-
- /// The number of contiguous one bits, starting from the lowest bit.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, int>
- countr_one(_Tp __x) noexcept
- { return std::__countr_one(__x); }
-
- /// The number of bits set in `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
-
- #define __cpp_lib_int_pow2 202002L
-
- /// True if `x` is a power of two, false otherwise.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp, bool>
- has_single_bit(_Tp __x) noexcept
- { return std::__has_single_bit(__x); }
-
- /// The smallest power-of-two not less than `x`.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp>
- bit_ceil(_Tp __x) noexcept
- { return std::__bit_ceil(__x); }
-
- /// The largest power-of-two not greater than `x`.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp>
- bit_floor(_Tp __x) noexcept
- { return std::__bit_floor(__x); }
-
- /// The smallest integer greater than the base-2 logarithm of `x`.
- template<typename _Tp>
- constexpr _If_is_unsigned_integer<_Tp>
- bit_width(_Tp __x) noexcept
- { return std::__bit_width(__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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