1// -*- C++ -*- 2//===------------------------------ bit ----------------------------------===// 3// 4// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. 5// See https://llvm.org/LICENSE.txt for license information. 6// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception 7// 8//===---------------------------------------------------------------------===// 9 10#ifndef _LIBCPP_BIT 11#define _LIBCPP_BIT 12 13/* 14 bit synopsis 15 16namespace std { 17 18 template <class T> 19 constexpr bool ispow2(T x) noexcept; // C++20 20 template <class T> 21 constexpr T ceil2(T x); // C++20 22 template <class T> 23 constexpr T floor2(T x) noexcept; // C++20 24 template <class T> 25 constexpr T log2p1(T x) noexcept; // C++20 26 27 // 23.20.2, rotating 28 template<class T> 29 constexpr T rotl(T x, unsigned int s) noexcept; // C++20 30 template<class T> 31 constexpr T rotr(T x, unsigned int s) noexcept; // C++20 32 33 // 23.20.3, counting 34 template<class T> 35 constexpr int countl_zero(T x) noexcept; // C++20 36 template<class T> 37 constexpr int countl_one(T x) noexcept; // C++20 38 template<class T> 39 constexpr int countr_zero(T x) noexcept; // C++20 40 template<class T> 41 constexpr int countr_one(T x) noexcept; // C++20 42 template<class T> 43 constexpr int popcount(T x) noexcept; // C++20 44 45 // 20.15.9, endian 46 enum class endian { 47 little = see below, // C++20 48 big = see below, // C++20 49 native = see below // C++20 50}; 51 52} // namespace std 53 54*/ 55 56#include <__config> 57#include <limits> 58#include <type_traits> 59#include <version> 60#include <__debug> 61 62#if defined(__IBMCPP__) 63#include "support/ibm/support.h" 64#endif 65#if defined(_LIBCPP_COMPILER_MSVC) 66#include <intrin.h> 67#endif 68 69#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) 70#pragma GCC system_header 71#endif 72 73_LIBCPP_PUSH_MACROS 74#include <__undef_macros> 75 76_LIBCPP_BEGIN_NAMESPACE_STD 77 78#ifndef _LIBCPP_COMPILER_MSVC 79 80inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 81int __libcpp_ctz(unsigned __x) _NOEXCEPT { return __builtin_ctz(__x); } 82 83inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 84int __libcpp_ctz(unsigned long __x) _NOEXCEPT { return __builtin_ctzl(__x); } 85 86inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 87int __libcpp_ctz(unsigned long long __x) _NOEXCEPT { return __builtin_ctzll(__x); } 88 89 90inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 91int __libcpp_clz(unsigned __x) _NOEXCEPT { return __builtin_clz(__x); } 92 93inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 94int __libcpp_clz(unsigned long __x) _NOEXCEPT { return __builtin_clzl(__x); } 95 96inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 97int __libcpp_clz(unsigned long long __x) _NOEXCEPT { return __builtin_clzll(__x); } 98 99 100inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 101int __libcpp_popcount(unsigned __x) _NOEXCEPT { return __builtin_popcount(__x); } 102 103inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 104int __libcpp_popcount(unsigned long __x) _NOEXCEPT { return __builtin_popcountl(__x); } 105 106inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 107int __libcpp_popcount(unsigned long long __x) _NOEXCEPT { return __builtin_popcountll(__x); } 108 109#else // _LIBCPP_COMPILER_MSVC 110 111// Precondition: __x != 0 112inline _LIBCPP_INLINE_VISIBILITY 113int __libcpp_ctz(unsigned __x) { 114 static_assert(sizeof(unsigned) == sizeof(unsigned long), ""); 115 static_assert(sizeof(unsigned long) == 4, ""); 116 unsigned long __where; 117 if (_BitScanForward(&__where, __x)) 118 return static_cast<int>(__where); 119 return 32; 120} 121 122inline _LIBCPP_INLINE_VISIBILITY 123int __libcpp_ctz(unsigned long __x) { 124 static_assert(sizeof(unsigned long) == sizeof(unsigned), ""); 125 return __ctz(static_cast<unsigned>(__x)); 126} 127 128inline _LIBCPP_INLINE_VISIBILITY 129int __libcpp_ctz(unsigned long long __x) { 130 unsigned long __where; 131#if defined(_LIBCPP_HAS_BITSCAN64) 132 (defined(_M_AMD64) || defined(__x86_64__)) 133 if (_BitScanForward64(&__where, __x)) 134 return static_cast<int>(__where); 135#else 136 // Win32 doesn't have _BitScanForward64 so emulate it with two 32 bit calls. 137 if (_BitScanForward(&__where, static_cast<unsigned long>(__x))) 138 return static_cast<int>(__where); 139 if (_BitScanForward(&__where, static_cast<unsigned long>(__x >> 32))) 140 return static_cast<int>(__where + 32); 141#endif 142 return 64; 143} 144 145// Precondition: __x != 0 146inline _LIBCPP_INLINE_VISIBILITY 147int __libcpp_clz(unsigned __x) { 148 static_assert(sizeof(unsigned) == sizeof(unsigned long), ""); 149 static_assert(sizeof(unsigned long) == 4, ""); 150 unsigned long __where; 151 if (_BitScanReverse(&__where, __x)) 152 return static_cast<int>(31 - __where); 153 return 32; // Undefined Behavior. 154} 155 156inline _LIBCPP_INLINE_VISIBILITY 157int __libcpp_clz(unsigned long __x) { 158 static_assert(sizeof(unsigned) == sizeof(unsigned long), ""); 159 return __libcpp_clz(static_cast<unsigned>(__x)); 160} 161 162inline _LIBCPP_INLINE_VISIBILITY 163int __libcpp_clz(unsigned long long __x) { 164 unsigned long __where; 165#if defined(_LIBCPP_HAS_BITSCAN64) 166 if (_BitScanReverse64(&__where, __x)) 167 return static_cast<int>(63 - __where); 168#else 169 // Win32 doesn't have _BitScanReverse64 so emulate it with two 32 bit calls. 170 if (_BitScanReverse(&__where, static_cast<unsigned long>(__x >> 32))) 171 return static_cast<int>(63 - (__where + 32)); 172 if (_BitScanReverse(&__where, static_cast<unsigned long>(__x))) 173 return static_cast<int>(63 - __where); 174#endif 175 return 64; // Undefined Behavior. 176} 177 178inline _LIBCPP_INLINE_VISIBILITY int __libcpp_popcount(unsigned __x) { 179 static_assert(sizeof(unsigned) == 4, ""); 180 return __popcnt(__x); 181} 182 183inline _LIBCPP_INLINE_VISIBILITY int __libcpp_popcount(unsigned long __x) { 184 static_assert(sizeof(unsigned long) == 4, ""); 185 return __popcnt(__x); 186} 187 188inline _LIBCPP_INLINE_VISIBILITY int __libcpp_popcount(unsigned long long __x) { 189 static_assert(sizeof(unsigned long long) == 8, ""); 190 return __popcnt64(__x); 191} 192 193#endif // _LIBCPP_COMPILER_MSVC 194 195template <class _Tp> 196using __bitop_unsigned_integer _LIBCPP_NODEBUG_TYPE = integral_constant<bool, 197 is_integral<_Tp>::value && 198 is_unsigned<_Tp>::value && 199 _IsNotSame<typename remove_cv<_Tp>::type, bool>::value && 200 _IsNotSame<typename remove_cv<_Tp>::type, signed char>::value && 201 _IsNotSame<typename remove_cv<_Tp>::type, wchar_t>::value && 202 _IsNotSame<typename remove_cv<_Tp>::type, char16_t>::value && 203 _IsNotSame<typename remove_cv<_Tp>::type, char32_t>::value 204 >; 205 206 207template<class _Tp> 208_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 209_Tp __rotl(_Tp __t, unsigned int __cnt) _NOEXCEPT 210{ 211 static_assert(__bitop_unsigned_integer<_Tp>::value, "__rotl requires unsigned"); 212 const unsigned int __dig = numeric_limits<_Tp>::digits; 213 if ((__cnt % __dig) == 0) 214 return __t; 215 return (__t << (__cnt % __dig)) | (__t >> (__dig - (__cnt % __dig))); 216} 217 218 219template<class _Tp> 220_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 221_Tp __rotr(_Tp __t, unsigned int __cnt) _NOEXCEPT 222{ 223 static_assert(__bitop_unsigned_integer<_Tp>::value, "__rotr requires unsigned"); 224 const unsigned int __dig = numeric_limits<_Tp>::digits; 225 if ((__cnt % __dig) == 0) 226 return __t; 227 return (__t >> (__cnt % __dig)) | (__t << (__dig - (__cnt % __dig))); 228} 229 230 231 232template<class _Tp> 233_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 234int __countr_zero(_Tp __t) _NOEXCEPT 235{ 236 static_assert(__bitop_unsigned_integer<_Tp>::value, "__countr_zero requires unsigned"); 237 if (__t == 0) 238 return numeric_limits<_Tp>::digits; 239 240 if (sizeof(_Tp) <= sizeof(unsigned int)) 241 return __libcpp_ctz(static_cast<unsigned int>(__t)); 242 else if (sizeof(_Tp) <= sizeof(unsigned long)) 243 return __libcpp_ctz(static_cast<unsigned long>(__t)); 244 else if (sizeof(_Tp) <= sizeof(unsigned long long)) 245 return __libcpp_ctz(static_cast<unsigned long long>(__t)); 246 else 247 { 248 int __ret = 0; 249 int __iter = 0; 250 const unsigned int __ulldigits = numeric_limits<unsigned long long>::digits; 251 while ((__iter = __libcpp_ctz(static_cast<unsigned long long>(__t))) == __ulldigits) 252 { 253 __ret += __iter; 254 __t >>= __ulldigits; 255 } 256 return __ret + __iter; 257 } 258} 259 260template<class _Tp> 261_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 262int __countl_zero(_Tp __t) _NOEXCEPT 263{ 264 static_assert(__bitop_unsigned_integer<_Tp>::value, "__countl_zero requires unsigned"); 265 if (__t == 0) 266 return numeric_limits<_Tp>::digits; 267 268 if (sizeof(_Tp) <= sizeof(unsigned int)) 269 return __libcpp_clz(static_cast<unsigned int>(__t)) 270 - (numeric_limits<unsigned int>::digits - numeric_limits<_Tp>::digits); 271 else if (sizeof(_Tp) <= sizeof(unsigned long)) 272 return __libcpp_clz(static_cast<unsigned long>(__t)) 273 - (numeric_limits<unsigned long>::digits - numeric_limits<_Tp>::digits); 274 else if (sizeof(_Tp) <= sizeof(unsigned long long)) 275 return __libcpp_clz(static_cast<unsigned long long>(__t)) 276 - (numeric_limits<unsigned long long>::digits - numeric_limits<_Tp>::digits); 277 else 278 { 279 int __ret = 0; 280 int __iter = 0; 281 const unsigned int __ulldigits = numeric_limits<unsigned long long>::digits; 282 while (true) { 283 __t = __rotr(__t, __ulldigits); 284 if ((__iter = __countl_zero(static_cast<unsigned long long>(__t))) != __ulldigits) 285 break; 286 __ret += __iter; 287 } 288 return __ret + __iter; 289 } 290} 291 292template<class _Tp> 293_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 294int __countl_one(_Tp __t) _NOEXCEPT 295{ 296 static_assert(__bitop_unsigned_integer<_Tp>::value, "__countl_one requires unsigned"); 297 return __t != numeric_limits<_Tp>::max() 298 ? __countl_zero(static_cast<_Tp>(~__t)) 299 : numeric_limits<_Tp>::digits; 300} 301 302 303template<class _Tp> 304_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 305int __countr_one(_Tp __t) _NOEXCEPT 306{ 307 static_assert(__bitop_unsigned_integer<_Tp>::value, "__countr_one requires unsigned"); 308 return __t != numeric_limits<_Tp>::max() 309 ? __countr_zero(static_cast<_Tp>(~__t)) 310 : numeric_limits<_Tp>::digits; 311} 312 313 314template<class _Tp> 315_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 316int 317__popcount(_Tp __t) _NOEXCEPT 318{ 319 static_assert(__bitop_unsigned_integer<_Tp>::value, "__libcpp_popcount requires unsigned"); 320 if (sizeof(_Tp) <= sizeof(unsigned int)) 321 return __libcpp_popcount(static_cast<unsigned int>(__t)); 322 else if (sizeof(_Tp) <= sizeof(unsigned long)) 323 return __libcpp_popcount(static_cast<unsigned long>(__t)); 324 else if (sizeof(_Tp) <= sizeof(unsigned long long)) 325 return __libcpp_popcount(static_cast<unsigned long long>(__t)); 326 else 327 { 328 int __ret = 0; 329 while (__t != 0) 330 { 331 __ret += __libcpp_popcount(static_cast<unsigned long long>(__t)); 332 __t >>= numeric_limits<unsigned long long>::digits; 333 } 334 return __ret; 335 } 336} 337 338 339// integral log base 2 340template<class _Tp> 341_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 342unsigned __bit_log2(_Tp __t) _NOEXCEPT 343{ 344 static_assert(__bitop_unsigned_integer<_Tp>::value, "__bit_log2 requires unsigned"); 345 return std::numeric_limits<_Tp>::digits - 1 - __countl_zero(__t); 346} 347 348template <class _Tp> 349_LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR 350bool __ispow2(_Tp __t) _NOEXCEPT 351{ 352 static_assert(__bitop_unsigned_integer<_Tp>::value, "__ispow2 requires unsigned"); 353 return __t != 0 && (((__t & (__t - 1)) == 0)); 354} 355 356 357#if _LIBCPP_STD_VER > 17 358 359template<class _Tp> 360_LIBCPP_INLINE_VISIBILITY constexpr 361enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> 362rotl(_Tp __t, unsigned int __cnt) noexcept 363{ 364 return __rotl(__t, __cnt); 365} 366 367 368// rotr 369template<class _Tp> 370_LIBCPP_INLINE_VISIBILITY constexpr 371enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> 372rotr(_Tp __t, unsigned int __cnt) noexcept 373{ 374 return __rotr(__t, __cnt); 375} 376 377 378template<class _Tp> 379_LIBCPP_INLINE_VISIBILITY constexpr 380enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> 381countl_zero(_Tp __t) noexcept 382{ 383 return __countl_zero(__t); 384} 385 386 387template<class _Tp> 388_LIBCPP_INLINE_VISIBILITY constexpr 389enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> 390countl_one(_Tp __t) noexcept 391{ 392 return __countl_one(__t); 393} 394 395 396template<class _Tp> 397_LIBCPP_INLINE_VISIBILITY constexpr 398enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> 399countr_zero(_Tp __t) noexcept 400{ 401 return __countr_zero(__t); 402} 403 404 405template<class _Tp> 406_LIBCPP_INLINE_VISIBILITY constexpr 407enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> 408countr_one(_Tp __t) noexcept 409{ 410 return __countr_one(__t); 411} 412 413 414template<class _Tp> 415_LIBCPP_INLINE_VISIBILITY constexpr 416enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> 417popcount(_Tp __t) noexcept 418{ 419 return __popcount(__t); 420} 421 422 423template <class _Tp> 424_LIBCPP_INLINE_VISIBILITY constexpr 425enable_if_t<__bitop_unsigned_integer<_Tp>::value, bool> 426ispow2(_Tp __t) noexcept 427{ 428 return __ispow2(__t); 429} 430 431template <class _Tp> 432_LIBCPP_INLINE_VISIBILITY constexpr 433enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> 434floor2(_Tp __t) noexcept 435{ 436 return __t == 0 ? 0 : _Tp{1} << __bit_log2(__t); 437} 438 439template <class _Tp> 440_LIBCPP_INLINE_VISIBILITY constexpr 441enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> 442ceil2(_Tp __t) noexcept 443{ 444 if (__t < 2) return 1; 445 const unsigned __n = numeric_limits<_Tp>::digits - countl_zero((_Tp)(__t - 1u)); 446 _LIBCPP_DEBUG_ASSERT(__libcpp_is_constant_evaluated() || __n != numeric_limits<_Tp>::digits, "Bad input to ceil2"); 447 448 if constexpr (sizeof(_Tp) >= sizeof(unsigned)) 449 return _Tp{1} << __n; 450 else 451 { 452 const unsigned __extra = numeric_limits<unsigned>::digits - numeric_limits<_Tp>::digits; 453 const unsigned __retVal = 1u << (__n + __extra); 454 return (_Tp) (__retVal >> __extra); 455 } 456} 457 458template <class _Tp> 459_LIBCPP_INLINE_VISIBILITY constexpr 460enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> 461log2p1(_Tp __t) noexcept 462{ 463 return __t == 0 ? 0 : __bit_log2(__t) + 1; 464} 465 466 467enum class endian 468{ 469 little = 0xDEAD, 470 big = 0xFACE, 471#if defined(_LIBCPP_LITTLE_ENDIAN) 472 native = little 473#elif defined(_LIBCPP_BIG_ENDIAN) 474 native = big 475#else 476 native = 0xCAFE 477#endif 478}; 479 480#endif // _LIBCPP_STD_VER > 17 481 482_LIBCPP_END_NAMESPACE_STD 483 484_LIBCPP_POP_MACROS 485 486#endif // _LIBCPP_BIT 487