|  | // -*- C++ -*- | 
|  | //===------------------------------ bit ----------------------------------===// | 
|  | // | 
|  | // Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions. | 
|  | // See https://llvm.org/LICENSE.txt for license information. | 
|  | // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception | 
|  | // | 
|  | //===---------------------------------------------------------------------===// | 
|  |  | 
|  | #ifndef _LIBCPP_BIT | 
|  | #define _LIBCPP_BIT | 
|  |  | 
|  | /* | 
|  | bit synopsis | 
|  |  | 
|  | namespace std { | 
|  |  | 
|  | // [bit.pow.two], integral powers of 2 | 
|  | template <class T> | 
|  | constexpr bool ispow2(T x) noexcept; // C++20 | 
|  | template <class T> | 
|  | constexpr T ceil2(T x);              // C++20 | 
|  | template <class T> | 
|  | constexpr T floor2(T x) noexcept;    // C++20 | 
|  | template <class T> | 
|  | constexpr T log2p1(T x) noexcept;    // C++20 | 
|  |  | 
|  | // [bit.rotate], rotating | 
|  | template<class T> | 
|  | constexpr T rotl(T x, unsigned int s) noexcept; // C++20 | 
|  | template<class T> | 
|  | constexpr T rotr(T x, unsigned int s) noexcept; // C++20 | 
|  |  | 
|  | // [bit.count], counting | 
|  | template<class T> | 
|  | constexpr int countl_zero(T x) noexcept;  // C++20 | 
|  | template<class T> | 
|  | constexpr int countl_one(T x) noexcept;   // C++20 | 
|  | template<class T> | 
|  | constexpr int countr_zero(T x) noexcept;  // C++20 | 
|  | template<class T> | 
|  | constexpr int countr_one(T x) noexcept;   // C++20 | 
|  | template<class T> | 
|  | constexpr int popcount(T x) noexcept;     // C++20 | 
|  |  | 
|  | // [bit.endian], endian | 
|  | enum class endian { | 
|  | little = see below,        // C++20 | 
|  | big = see below,           // C++20 | 
|  | native = see below         // C++20 | 
|  | }; | 
|  |  | 
|  | } // namespace std | 
|  |  | 
|  | */ | 
|  |  | 
|  | #include <__config> | 
|  | #include <limits> | 
|  | #include <type_traits> | 
|  | #include <version> | 
|  | #include <__debug> | 
|  |  | 
|  | #if defined(__IBMCPP__) | 
|  | #include "support/ibm/support.h" | 
|  | #endif | 
|  | #if defined(_LIBCPP_COMPILER_MSVC) | 
|  | #include <intrin.h> | 
|  | #endif | 
|  |  | 
|  | #if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER) | 
|  | #pragma GCC system_header | 
|  | #endif | 
|  |  | 
|  | _LIBCPP_PUSH_MACROS | 
|  | #include <__undef_macros> | 
|  |  | 
|  | _LIBCPP_BEGIN_NAMESPACE_STD | 
|  |  | 
|  | #ifndef _LIBCPP_COMPILER_MSVC | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_ctz(unsigned __x)           _NOEXCEPT { return __builtin_ctz(__x); } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_ctz(unsigned long __x)      _NOEXCEPT { return __builtin_ctzl(__x); } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_ctz(unsigned long long __x) _NOEXCEPT { return __builtin_ctzll(__x); } | 
|  |  | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_clz(unsigned __x)           _NOEXCEPT { return __builtin_clz(__x); } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_clz(unsigned long __x)      _NOEXCEPT { return __builtin_clzl(__x); } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_clz(unsigned long long __x) _NOEXCEPT { return __builtin_clzll(__x); } | 
|  |  | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_popcount(unsigned __x)           _NOEXCEPT { return __builtin_popcount(__x); } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_popcount(unsigned long __x)      _NOEXCEPT { return __builtin_popcountl(__x); } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | int __libcpp_popcount(unsigned long long __x) _NOEXCEPT { return __builtin_popcountll(__x); } | 
|  |  | 
|  | #else  // _LIBCPP_COMPILER_MSVC | 
|  |  | 
|  | // Precondition:  __x != 0 | 
|  | inline _LIBCPP_INLINE_VISIBILITY | 
|  | int __libcpp_ctz(unsigned __x) { | 
|  | static_assert(sizeof(unsigned) == sizeof(unsigned long), ""); | 
|  | static_assert(sizeof(unsigned long) == 4, ""); | 
|  | unsigned long __where; | 
|  | if (_BitScanForward(&__where, __x)) | 
|  | return static_cast<int>(__where); | 
|  | return 32; | 
|  | } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY | 
|  | int __libcpp_ctz(unsigned long __x) { | 
|  | static_assert(sizeof(unsigned long) == sizeof(unsigned), ""); | 
|  | return __ctz(static_cast<unsigned>(__x)); | 
|  | } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY | 
|  | int __libcpp_ctz(unsigned long long __x) { | 
|  | unsigned long __where; | 
|  | #if defined(_LIBCPP_HAS_BITSCAN64) | 
|  | (defined(_M_AMD64) || defined(__x86_64__)) | 
|  | if (_BitScanForward64(&__where, __x)) | 
|  | return static_cast<int>(__where); | 
|  | #else | 
|  | // Win32 doesn't have _BitScanForward64 so emulate it with two 32 bit calls. | 
|  | if (_BitScanForward(&__where, static_cast<unsigned long>(__x))) | 
|  | return static_cast<int>(__where); | 
|  | if (_BitScanForward(&__where, static_cast<unsigned long>(__x >> 32))) | 
|  | return static_cast<int>(__where + 32); | 
|  | #endif | 
|  | return 64; | 
|  | } | 
|  |  | 
|  | // Precondition:  __x != 0 | 
|  | inline _LIBCPP_INLINE_VISIBILITY | 
|  | int __libcpp_clz(unsigned __x) { | 
|  | static_assert(sizeof(unsigned) == sizeof(unsigned long), ""); | 
|  | static_assert(sizeof(unsigned long) == 4, ""); | 
|  | unsigned long __where; | 
|  | if (_BitScanReverse(&__where, __x)) | 
|  | return static_cast<int>(31 - __where); | 
|  | return 32; // Undefined Behavior. | 
|  | } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY | 
|  | int __libcpp_clz(unsigned long __x) { | 
|  | static_assert(sizeof(unsigned) == sizeof(unsigned long), ""); | 
|  | return __libcpp_clz(static_cast<unsigned>(__x)); | 
|  | } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY | 
|  | int __libcpp_clz(unsigned long long __x) { | 
|  | unsigned long __where; | 
|  | #if defined(_LIBCPP_HAS_BITSCAN64) | 
|  | if (_BitScanReverse64(&__where, __x)) | 
|  | return static_cast<int>(63 - __where); | 
|  | #else | 
|  | // Win32 doesn't have _BitScanReverse64 so emulate it with two 32 bit calls. | 
|  | if (_BitScanReverse(&__where, static_cast<unsigned long>(__x >> 32))) | 
|  | return static_cast<int>(63 - (__where + 32)); | 
|  | if (_BitScanReverse(&__where, static_cast<unsigned long>(__x))) | 
|  | return static_cast<int>(63 - __where); | 
|  | #endif | 
|  | return 64; // Undefined Behavior. | 
|  | } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY int __libcpp_popcount(unsigned __x) { | 
|  | static_assert(sizeof(unsigned) == 4, ""); | 
|  | return __popcnt(__x); | 
|  | } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY int __libcpp_popcount(unsigned long __x) { | 
|  | static_assert(sizeof(unsigned long) == 4, ""); | 
|  | return __popcnt(__x); | 
|  | } | 
|  |  | 
|  | inline _LIBCPP_INLINE_VISIBILITY int __libcpp_popcount(unsigned long long __x) { | 
|  | static_assert(sizeof(unsigned long long) == 8, ""); | 
|  | return __popcnt64(__x); | 
|  | } | 
|  |  | 
|  | #endif // _LIBCPP_COMPILER_MSVC | 
|  |  | 
|  | template <class _Tp> | 
|  | using __bitop_unsigned_integer _LIBCPP_NODEBUG_TYPE = integral_constant<bool, | 
|  | is_integral<_Tp>::value && | 
|  | is_unsigned<_Tp>::value && | 
|  | _IsNotSame<typename remove_cv<_Tp>::type, bool>::value && | 
|  | _IsNotSame<typename remove_cv<_Tp>::type, signed char>::value && | 
|  | _IsNotSame<typename remove_cv<_Tp>::type, wchar_t>::value && | 
|  | _IsNotSame<typename remove_cv<_Tp>::type, char16_t>::value && | 
|  | _IsNotSame<typename remove_cv<_Tp>::type, char32_t>::value | 
|  | >; | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | _Tp __rotl(_Tp __t, unsigned int __cnt) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__rotl requires unsigned"); | 
|  | const unsigned int __dig = numeric_limits<_Tp>::digits; | 
|  | if ((__cnt % __dig) == 0) | 
|  | return __t; | 
|  | return (__t << (__cnt % __dig)) | (__t >> (__dig - (__cnt % __dig))); | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | _Tp __rotr(_Tp __t, unsigned int __cnt) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__rotr requires unsigned"); | 
|  | const unsigned int __dig = numeric_limits<_Tp>::digits; | 
|  | if ((__cnt % __dig) == 0) | 
|  | return __t; | 
|  | return (__t >> (__cnt % __dig)) | (__t << (__dig - (__cnt % __dig))); | 
|  | } | 
|  |  | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | int __countr_zero(_Tp __t) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__countr_zero requires unsigned"); | 
|  | if (__t == 0) | 
|  | return numeric_limits<_Tp>::digits; | 
|  |  | 
|  | if      (sizeof(_Tp) <= sizeof(unsigned int)) | 
|  | return __libcpp_ctz(static_cast<unsigned int>(__t)); | 
|  | else if (sizeof(_Tp) <= sizeof(unsigned long)) | 
|  | return __libcpp_ctz(static_cast<unsigned long>(__t)); | 
|  | else if (sizeof(_Tp) <= sizeof(unsigned long long)) | 
|  | return __libcpp_ctz(static_cast<unsigned long long>(__t)); | 
|  | else | 
|  | { | 
|  | int __ret = 0; | 
|  | int __iter = 0; | 
|  | const unsigned int __ulldigits = numeric_limits<unsigned long long>::digits; | 
|  | while ((__iter = __libcpp_ctz(static_cast<unsigned long long>(__t))) == __ulldigits) | 
|  | { | 
|  | __ret += __iter; | 
|  | __t >>= __ulldigits; | 
|  | } | 
|  | return __ret + __iter; | 
|  | } | 
|  | } | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | int __countl_zero(_Tp __t) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__countl_zero requires unsigned"); | 
|  | if (__t == 0) | 
|  | return numeric_limits<_Tp>::digits; | 
|  |  | 
|  | if      (sizeof(_Tp) <= sizeof(unsigned int)) | 
|  | return __libcpp_clz(static_cast<unsigned int>(__t)) | 
|  | - (numeric_limits<unsigned int>::digits - numeric_limits<_Tp>::digits); | 
|  | else if (sizeof(_Tp) <= sizeof(unsigned long)) | 
|  | return __libcpp_clz(static_cast<unsigned long>(__t)) | 
|  | - (numeric_limits<unsigned long>::digits - numeric_limits<_Tp>::digits); | 
|  | else if (sizeof(_Tp) <= sizeof(unsigned long long)) | 
|  | return __libcpp_clz(static_cast<unsigned long long>(__t)) | 
|  | - (numeric_limits<unsigned long long>::digits - numeric_limits<_Tp>::digits); | 
|  | else | 
|  | { | 
|  | int __ret = 0; | 
|  | int __iter = 0; | 
|  | const unsigned int __ulldigits = numeric_limits<unsigned long long>::digits; | 
|  | while (true) { | 
|  | __t = __rotr(__t, __ulldigits); | 
|  | if ((__iter = __countl_zero(static_cast<unsigned long long>(__t))) != __ulldigits) | 
|  | break; | 
|  | __ret += __iter; | 
|  | } | 
|  | return __ret + __iter; | 
|  | } | 
|  | } | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | int __countl_one(_Tp __t) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__countl_one requires unsigned"); | 
|  | return __t != numeric_limits<_Tp>::max() | 
|  | ? __countl_zero(static_cast<_Tp>(~__t)) | 
|  | : numeric_limits<_Tp>::digits; | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | int __countr_one(_Tp __t) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__countr_one requires unsigned"); | 
|  | return __t != numeric_limits<_Tp>::max() | 
|  | ? __countr_zero(static_cast<_Tp>(~__t)) | 
|  | : numeric_limits<_Tp>::digits; | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | int | 
|  | __popcount(_Tp __t) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__libcpp_popcount requires unsigned"); | 
|  | if      (sizeof(_Tp) <= sizeof(unsigned int)) | 
|  | return __libcpp_popcount(static_cast<unsigned int>(__t)); | 
|  | else if (sizeof(_Tp) <= sizeof(unsigned long)) | 
|  | return __libcpp_popcount(static_cast<unsigned long>(__t)); | 
|  | else if (sizeof(_Tp) <= sizeof(unsigned long long)) | 
|  | return __libcpp_popcount(static_cast<unsigned long long>(__t)); | 
|  | else | 
|  | { | 
|  | int __ret = 0; | 
|  | while (__t != 0) | 
|  | { | 
|  | __ret += __libcpp_popcount(static_cast<unsigned long long>(__t)); | 
|  | __t >>= numeric_limits<unsigned long long>::digits; | 
|  | } | 
|  | return __ret; | 
|  | } | 
|  | } | 
|  |  | 
|  |  | 
|  | // integral log base 2 | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR_AFTER_CXX11 | 
|  | unsigned __bit_log2(_Tp __t) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__bit_log2 requires unsigned"); | 
|  | return std::numeric_limits<_Tp>::digits - 1 - __countl_zero(__t); | 
|  | } | 
|  |  | 
|  | template <class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY _LIBCPP_CONSTEXPR | 
|  | bool __ispow2(_Tp __t) _NOEXCEPT | 
|  | { | 
|  | static_assert(__bitop_unsigned_integer<_Tp>::value, "__ispow2 requires unsigned"); | 
|  | return __t != 0 && (((__t & (__t - 1)) == 0)); | 
|  | } | 
|  |  | 
|  |  | 
|  | #if _LIBCPP_STD_VER > 17 | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> | 
|  | rotl(_Tp __t, unsigned int __cnt) noexcept | 
|  | { | 
|  | return __rotl(__t, __cnt); | 
|  | } | 
|  |  | 
|  |  | 
|  | // rotr | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> | 
|  | rotr(_Tp __t, unsigned int __cnt) noexcept | 
|  | { | 
|  | return __rotr(__t, __cnt); | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> | 
|  | countl_zero(_Tp __t) noexcept | 
|  | { | 
|  | return __countl_zero(__t); | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> | 
|  | countl_one(_Tp __t) noexcept | 
|  | { | 
|  | return __countl_one(__t); | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> | 
|  | countr_zero(_Tp __t) noexcept | 
|  | { | 
|  | return __countr_zero(__t); | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> | 
|  | countr_one(_Tp __t) noexcept | 
|  | { | 
|  | return __countr_one(__t); | 
|  | } | 
|  |  | 
|  |  | 
|  | template<class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, int> | 
|  | popcount(_Tp __t) noexcept | 
|  | { | 
|  | return __popcount(__t); | 
|  | } | 
|  |  | 
|  |  | 
|  | template <class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, bool> | 
|  | ispow2(_Tp __t) noexcept | 
|  | { | 
|  | return __ispow2(__t); | 
|  | } | 
|  |  | 
|  | template <class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> | 
|  | floor2(_Tp __t) noexcept | 
|  | { | 
|  | return __t == 0 ? 0 : _Tp{1} << __bit_log2(__t); | 
|  | } | 
|  |  | 
|  | template <class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> | 
|  | ceil2(_Tp __t) noexcept | 
|  | { | 
|  | if (__t < 2) return 1; | 
|  | const unsigned __n = numeric_limits<_Tp>::digits - countl_zero((_Tp)(__t - 1u)); | 
|  | _LIBCPP_DEBUG_ASSERT(__libcpp_is_constant_evaluated() || __n != numeric_limits<_Tp>::digits, "Bad input to ceil2"); | 
|  |  | 
|  | if constexpr (sizeof(_Tp) >= sizeof(unsigned)) | 
|  | return _Tp{1} << __n; | 
|  | else | 
|  | { | 
|  | const unsigned __extra = numeric_limits<unsigned>::digits  - numeric_limits<_Tp>::digits; | 
|  | const unsigned __retVal = 1u << (__n + __extra); | 
|  | return (_Tp) (__retVal >> __extra); | 
|  | } | 
|  | } | 
|  |  | 
|  | template <class _Tp> | 
|  | _LIBCPP_INLINE_VISIBILITY constexpr | 
|  | enable_if_t<__bitop_unsigned_integer<_Tp>::value, _Tp> | 
|  | log2p1(_Tp __t) noexcept | 
|  | { | 
|  | return __t == 0 ? 0 : __bit_log2(__t) + 1; | 
|  | } | 
|  |  | 
|  |  | 
|  | enum class endian | 
|  | { | 
|  | little = 0xDEAD, | 
|  | big    = 0xFACE, | 
|  | #if defined(_LIBCPP_LITTLE_ENDIAN) | 
|  | native = little | 
|  | #elif defined(_LIBCPP_BIG_ENDIAN) | 
|  | native = big | 
|  | #else | 
|  | native = 0xCAFE | 
|  | #endif | 
|  | }; | 
|  |  | 
|  | #endif // _LIBCPP_STD_VER > 17 | 
|  |  | 
|  | _LIBCPP_END_NAMESPACE_STD | 
|  |  | 
|  | _LIBCPP_POP_MACROS | 
|  |  | 
|  | #endif // _LIBCPP_BIT |