30 #define _GLIBCXX_BIT 1
32 #pragma GCC system_header
34 #if __cplusplus >= 201402L
39 namespace std _GLIBCXX_VISIBILITY(default)
41 _GLIBCXX_BEGIN_NAMESPACE_VERSION
54 template<
typename _Tp>
56 __rotl(_Tp __x,
int __s) noexcept
59 const int __r = __s % _Nd;
63 return (__x << __r) | (__x >> ((_Nd - __r) % _Nd));
65 return (__x >> -__r) | (__x << ((_Nd + __r) % _Nd));
68 template<
typename _Tp>
70 __rotr(_Tp __x,
int __s) noexcept
73 const int __r = __s % _Nd;
77 return (__x >> __r) | (__x << ((_Nd - __r) % _Nd));
79 return (__x << -__r) | (__x >> ((_Nd + __r) % _Nd));
82 template<
typename _Tp>
84 __countl_zero(_Tp __x) noexcept
87 constexpr
auto _Nd = __int_traits<_Tp>::__digits;
92 constexpr
auto _Nd_ull = __int_traits<unsigned long long>::__digits;
93 constexpr
auto _Nd_ul = __int_traits<unsigned long>::__digits;
94 constexpr
auto _Nd_u = __int_traits<unsigned>::__digits;
96 if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
98 constexpr
int __diff = _Nd_u - _Nd;
99 return __builtin_clz(__x) - __diff;
101 else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
103 constexpr
int __diff = _Nd_ul - _Nd;
104 return __builtin_clzl(__x) - __diff;
106 else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
108 constexpr
int __diff = _Nd_ull - _Nd;
109 return __builtin_clzll(__x) - __diff;
113 static_assert(_Nd <= (2 * _Nd_ull),
114 "Maximum supported integer size is 128-bit");
116 unsigned long long __high = __x >> _Nd_ull;
119 constexpr
int __diff = (2 * _Nd_ull) - _Nd;
120 return __builtin_clzll(__high) - __diff;
122 constexpr
auto __max_ull = __int_traits<unsigned long long>::__max;
123 unsigned long long __low = __x & __max_ull;
124 return (_Nd - _Nd_ull) + __builtin_clzll(__low);
128 template<
typename _Tp>
130 __countl_one(_Tp __x) noexcept
134 return std::__countl_zero<_Tp>((_Tp)~__x);
137 template<
typename _Tp>
139 __countr_zero(_Tp __x) noexcept
142 constexpr
auto _Nd = __int_traits<_Tp>::__digits;
147 constexpr
auto _Nd_ull = __int_traits<unsigned long long>::__digits;
148 constexpr
auto _Nd_ul = __int_traits<unsigned long>::__digits;
149 constexpr
auto _Nd_u = __int_traits<unsigned>::__digits;
151 if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
152 return __builtin_ctz(__x);
153 else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
154 return __builtin_ctzl(__x);
155 else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
156 return __builtin_ctzll(__x);
159 static_assert(_Nd <= (2 * _Nd_ull),
160 "Maximum supported integer size is 128-bit");
162 constexpr
auto __max_ull = __int_traits<unsigned long long>::__max;
163 unsigned long long __low = __x & __max_ull;
165 return __builtin_ctzll(__low);
166 unsigned long long __high = __x >> _Nd_ull;
167 return __builtin_ctzll(__high) + _Nd_ull;
171 template<
typename _Tp>
173 __countr_one(_Tp __x) noexcept
177 return std::__countr_zero((_Tp)~__x);
180 template<
typename _Tp>
182 __popcount(_Tp __x) noexcept
185 constexpr
auto _Nd = __int_traits<_Tp>::__digits;
190 constexpr
auto _Nd_ull = __int_traits<unsigned long long>::__digits;
191 constexpr
auto _Nd_ul = __int_traits<unsigned long>::__digits;
192 constexpr
auto _Nd_u = __int_traits<unsigned>::__digits;
194 if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_u)
195 return __builtin_popcount(__x);
196 else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ul)
197 return __builtin_popcountl(__x);
198 else if _GLIBCXX17_CONSTEXPR (_Nd <= _Nd_ull)
199 return __builtin_popcountll(__x);
202 static_assert(_Nd <= (2 * _Nd_ull),
203 "Maximum supported integer size is 128-bit");
205 constexpr
auto __max_ull = __int_traits<unsigned long long>::__max;
206 unsigned long long __low = __x & __max_ull;
207 unsigned long long __high = __x >> _Nd_ull;
208 return __builtin_popcountll(__low) + __builtin_popcountll(__high);
212 template<
typename _Tp>
214 __has_single_bit(_Tp __x) noexcept
215 {
return std::__popcount(__x) == 1; }
217 template<
typename _Tp>
219 __bit_ceil(_Tp __x) noexcept
222 constexpr
auto _Nd = __int_traits<_Tp>::__digits;
223 if (__x == 0 || __x == 1)
225 auto __shift_exponent = _Nd - std::__countl_zero((_Tp)(__x - 1u));
230 #ifdef _GLIBCXX_HAVE_BUILTIN_IS_CONSTANT_EVALUATED
231 if (!__builtin_is_constant_evaluated())
233 __glibcxx_assert( __shift_exponent != __int_traits<_Tp>::__digits );
236 using __promoted_type = decltype(__x << 1);
237 if _GLIBCXX17_CONSTEXPR (!is_same<__promoted_type, _Tp>::value)
244 const int __extra_exp =
sizeof(__promoted_type) /
sizeof(_Tp) / 2;
245 __shift_exponent |= (__shift_exponent & _Nd) << __extra_exp;
247 return (_Tp)1u << __shift_exponent;
250 template<
typename _Tp>
252 __bit_floor(_Tp __x) noexcept
257 return (_Tp)1u << (_Nd - std::__countl_zero((_Tp)(__x >> 1)));
260 template<
typename _Tp>
262 __bit_width(_Tp __x) noexcept
265 return _Nd - std::__countl_zero(__x);
270 #if __cplusplus > 201703L
272 #define __cpp_lib_bitops 201907L
275 template<
typename _Tp,
typename _Up = _Tp>
276 using _If_is_unsigned_integer
277 = enable_if_t<__is_unsigned_integer<_Tp>::value, _Up>;
283 template<
typename _Tp>
284 [[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
285 rotl(_Tp __x,
int __s) noexcept
286 {
return std::__rotl(__x, __s); }
289 template<
typename _Tp>
290 [[nodiscard]] constexpr _If_is_unsigned_integer<_Tp>
291 rotr(_Tp __x,
int __s) noexcept
292 {
return std::__rotr(__x, __s); }
297 template<
typename _Tp>
298 constexpr _If_is_unsigned_integer<_Tp, int>
299 countl_zero(_Tp __x) noexcept
300 {
return std::__countl_zero(__x); }
303 template<
typename _Tp>
304 constexpr _If_is_unsigned_integer<_Tp, int>
305 countl_one(_Tp __x) noexcept
306 {
return std::__countl_one(__x); }
309 template<
typename _Tp>
310 constexpr _If_is_unsigned_integer<_Tp, int>
311 countr_zero(_Tp __x) noexcept
312 {
return std::__countr_zero(__x); }
315 template<
typename _Tp>
316 constexpr _If_is_unsigned_integer<_Tp, int>
317 countr_one(_Tp __x) noexcept
318 {
return std::__countr_one(__x); }
321 template<
typename _Tp>
322 constexpr _If_is_unsigned_integer<_Tp, int>
323 popcount(_Tp __x) noexcept
324 {
return std::__popcount(__x); }
328 #define __cpp_lib_int_pow2 202002L
331 template<
typename _Tp>
332 constexpr _If_is_unsigned_integer<_Tp, bool>
333 has_single_bit(_Tp __x) noexcept
334 {
return std::__has_single_bit(__x); }
337 template<
typename _Tp>
338 constexpr _If_is_unsigned_integer<_Tp>
339 bit_ceil(_Tp __x) noexcept
340 {
return std::__bit_ceil(__x); }
343 template<
typename _Tp>
344 constexpr _If_is_unsigned_integer<_Tp>
345 bit_floor(_Tp __x) noexcept
346 {
return std::__bit_floor(__x); }
349 template<
typename _Tp>
350 constexpr _If_is_unsigned_integer<_Tp>
351 bit_width(_Tp __x) noexcept
352 {
return std::__bit_width(__x); }
354 #define __cpp_lib_endian 201907L
359 little = __ORDER_LITTLE_ENDIAN__,
360 big = __ORDER_BIG_ENDIAN__,
361 native = __BYTE_ORDER__
367 _GLIBCXX_END_NAMESPACE_VERSION
371 #endif // _GLIBCXX_BIT
__numeric_traits_integer< _Tp > __int_traits
Convenience alias for __numeric_traits<integer-type>.