// -*- C++ -*- // Copyright (C) 2019-2022 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 // . /** @file bits/max_size_type.h * This is an internal header file, included by other library headers. * Do not attempt to use it directly. @headername{iterator} */ #ifndef _GLIBCXX_MAX_SIZE_TYPE_H #define _GLIBCXX_MAX_SIZE_TYPE_H 1 #pragma GCC system_header #if __cplusplus > 201703L && __cpp_lib_concepts #include #include // This header implements unsigned and signed integer-class types (as per // [iterator.concept.winc]) that are one bit wider than the widest supported // integer type. // // The set of integer types we consider includes __int128 and unsigned __int128 // (when they exist), even though they are really integer types only in GNU // mode. This is to obtain a consistent ABI for these integer-class types // across strict mode and GNU mode. namespace std _GLIBCXX_VISIBILITY(default) { _GLIBCXX_BEGIN_NAMESPACE_VERSION template struct numeric_limits; namespace ranges { namespace __detail { class __max_size_type { public: __max_size_type() = default; template requires integral<_Tp> || __is_int128<_Tp> constexpr __max_size_type(_Tp __i) noexcept : _M_val(__i), _M_msb(__i < 0) { } constexpr explicit __max_size_type(const __max_diff_type& __d) noexcept; template requires integral<_Tp> || __is_int128<_Tp> constexpr explicit operator _Tp() const noexcept { return _M_val; } constexpr explicit operator bool() const noexcept { return _M_val != 0 || _M_msb != 0; } constexpr __max_size_type operator+() const noexcept { return *this; } constexpr __max_size_type operator~() const noexcept { return __max_size_type{~_M_val, !_M_msb}; } constexpr __max_size_type operator-() const noexcept { return operator~() + 1; } constexpr __max_size_type& operator++() noexcept { return *this += 1; } constexpr __max_size_type operator++(int) noexcept { auto __tmp = *this; ++*this; return __tmp; } constexpr __max_size_type& operator--() noexcept { return *this -= 1; } constexpr __max_size_type operator--(int) noexcept { auto __tmp = *this; --*this; return __tmp; } constexpr __max_size_type& operator+=(const __max_size_type& __r) noexcept { const auto __sum = _M_val + __r._M_val; const bool __overflow = (__sum < _M_val); _M_msb = _M_msb ^ __r._M_msb ^ __overflow; _M_val = __sum; return *this; } constexpr __max_size_type& operator-=(const __max_size_type& __r) noexcept { return *this += -__r; } constexpr __max_size_type& operator*=(__max_size_type __r) noexcept { constexpr __max_size_type __threshold = __rep(1) << (_S_rep_bits / 2 - 1); if (_M_val < __threshold && __r < __threshold) // When both operands are below this threshold then the // multiplication can be safely computed in the base precision. _M_val = _M_val * __r._M_val; else { // Otherwise, perform the multiplication in four steps, by // decomposing the LHS and the RHS into 2*x+a and 2*y+b, // respectively, and computing 4*x*y + 2*x*b + 2*y*a + a*b. const bool __lsb = _M_val & 1; const bool __rlsb = __r._M_val & 1; *this >>= 1; __r >>= 1; _M_val = (2 * _M_val * __r._M_val + _M_val * __rlsb + __r._M_val * __lsb); *this <<= 1; *this += __rlsb * __lsb; } return *this; } constexpr __max_size_type& operator/=(const __max_size_type& __r) noexcept { __glibcxx_assert(__r != 0); if (!_M_msb && !__r._M_msb) [[likely]] _M_val /= __r._M_val; else if (_M_msb && __r._M_msb) { _M_val = (_M_val >= __r._M_val); _M_msb = 0; } else if (!_M_msb && __r._M_msb) _M_val = 0; else if (_M_msb && !__r._M_msb) { // The non-trivial case: the dividend has its MSB set and the // divisor doesn't. In this case we compute ((LHS/2)/RHS)*2 // in the base precision. This quantity is either the true // quotient or one less than the true quotient. const auto __orig = *this; *this >>= 1; _M_val /= __r._M_val; *this <<= 1; if (__orig - *this * __r >= __r) ++_M_val; } return *this; } constexpr __max_size_type& operator%=(const __max_size_type& __r) noexcept { if (!_M_msb && !__r._M_msb) [[likely]] _M_val %= __r._M_val; else *this -= (*this / __r) * __r; return *this; } constexpr __max_size_type& operator<<=(const __max_size_type& __r) noexcept { __glibcxx_assert(__r <= _S_rep_bits); if (__r != 0) { _M_msb = (_M_val >> (_S_rep_bits - __r._M_val)) & 1; if (__r._M_val == _S_rep_bits) [[unlikely]] _M_val = 0; else _M_val <<= __r._M_val; } return *this; } constexpr __max_size_type& operator>>=(const __max_size_type& __r) noexcept { __glibcxx_assert(__r <= _S_rep_bits); if (__r != 0) { if (__r._M_val == _S_rep_bits) [[unlikely]] _M_val = 0; else _M_val >>= __r._M_val; if (_M_msb) [[unlikely]] { _M_val |= __rep(1) << (_S_rep_bits - __r._M_val); _M_msb = 0; } } return *this; } constexpr __max_size_type& operator&=(const __max_size_type& __r) noexcept { _M_val &= __r._M_val; _M_msb &= __r._M_msb; return *this; } constexpr __max_size_type& operator|=(const __max_size_type& __r) noexcept { _M_val |= __r._M_val; _M_msb |= __r._M_msb; return *this; } constexpr __max_size_type& operator^=(const __max_size_type& __r) noexcept { _M_val ^= __r._M_val; _M_msb ^= __r._M_msb; return *this; } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator+=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a + __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator-=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a - __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator*=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a * __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator/=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a / __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator%=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a % __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator&=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a & __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator|=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a | __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator^=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a ^ __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator<<=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a << __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator>>=(_Tp& __a, const __max_size_type& __b) noexcept { return (__a = static_cast<_Tp>(__a >> __b)); } friend constexpr __max_size_type operator+(__max_size_type __l, const __max_size_type& __r) noexcept { __l += __r; return __l; } friend constexpr __max_size_type operator-(__max_size_type __l, const __max_size_type& __r) noexcept { __l -= __r; return __l; } friend constexpr __max_size_type operator*(__max_size_type __l, const __max_size_type& __r) noexcept { __l *= __r; return __l; } friend constexpr __max_size_type operator/(__max_size_type __l, const __max_size_type& __r) noexcept { __l /= __r; return __l; } friend constexpr __max_size_type operator%(__max_size_type __l, const __max_size_type& __r) noexcept { __l %= __r; return __l; } friend constexpr __max_size_type operator<<(__max_size_type __l, const __max_size_type& __r) noexcept { __l <<= __r; return __l; } friend constexpr __max_size_type operator>>(__max_size_type __l, const __max_size_type& __r) noexcept { __l >>= __r; return __l; } friend constexpr __max_size_type operator&(__max_size_type __l, const __max_size_type& __r) noexcept { __l &= __r; return __l; } friend constexpr __max_size_type operator|(__max_size_type __l, const __max_size_type& __r) noexcept { __l |= __r; return __l; } friend constexpr __max_size_type operator^(__max_size_type __l, const __max_size_type& __r) noexcept { __l ^= __r; return __l; } friend constexpr bool operator==(const __max_size_type& __l, const __max_size_type& __r) noexcept { return __l._M_val == __r._M_val && __l._M_msb == __r._M_msb; } #if __cpp_lib_three_way_comparison friend constexpr strong_ordering operator<=>(const __max_size_type& __l, const __max_size_type& __r) noexcept { if (__l._M_msb ^ __r._M_msb) return __l._M_msb ? strong_ordering::greater : strong_ordering::less; else return __l._M_val <=> __r._M_val; } #else friend constexpr bool operator!=(const __max_size_type& __l, const __max_size_type& __r) noexcept { return !(__l == __r); } friend constexpr bool operator<(const __max_size_type& __l, const __max_size_type& __r) noexcept { if (__l._M_msb == __r._M_msb) return __l._M_val < __r._M_val; else return __r._M_msb; } friend constexpr bool operator>(const __max_size_type& __l, const __max_size_type& __r) noexcept { return __r < __l; } friend constexpr bool operator<=(const __max_size_type& __l, const __max_size_type& __r) noexcept { return !(__l > __r); } friend constexpr bool operator>=(const __max_size_type& __l, const __max_size_type& __r) noexcept { return __r <= __l; } #endif #if __SIZEOF_INT128__ __extension__ using __rep = unsigned __int128; #else using __rep = unsigned long long; #endif static constexpr size_t _S_rep_bits = sizeof(__rep) * __CHAR_BIT__; private: __rep _M_val = 0; unsigned _M_msb:1 = 0; constexpr explicit __max_size_type(__rep __val, int __msb) noexcept : _M_val(__val), _M_msb(__msb) { } friend __max_diff_type; friend std::numeric_limits<__max_size_type>; friend std::numeric_limits<__max_diff_type>; }; class __max_diff_type { public: __max_diff_type() = default; template requires integral<_Tp> || __is_int128<_Tp> constexpr __max_diff_type(_Tp __i) noexcept : _M_rep(__i) { } constexpr explicit __max_diff_type(const __max_size_type& __d) noexcept : _M_rep(__d) { } template requires integral<_Tp> || __is_int128<_Tp> constexpr explicit operator _Tp() const noexcept { return static_cast<_Tp>(_M_rep); } constexpr explicit operator bool() const noexcept { return _M_rep != 0; } constexpr __max_diff_type operator+() const noexcept { return *this; } constexpr __max_diff_type operator-() const noexcept { return __max_diff_type(-_M_rep); } constexpr __max_diff_type operator~() const noexcept { return __max_diff_type(~_M_rep); } constexpr __max_diff_type& operator++() noexcept { return *this += 1; } constexpr __max_diff_type operator++(int) noexcept { auto __tmp = *this; ++*this; return __tmp; } constexpr __max_diff_type& operator--() noexcept { return *this -= 1; } constexpr __max_diff_type operator--(int) noexcept { auto __tmp = *this; --*this; return __tmp; } constexpr __max_diff_type& operator+=(const __max_diff_type& __r) noexcept { _M_rep += __r._M_rep; return *this; } constexpr __max_diff_type& operator-=(const __max_diff_type& __r) noexcept { _M_rep -= __r._M_rep; return *this; } constexpr __max_diff_type& operator*=(const __max_diff_type& __r) noexcept { _M_rep *= __r._M_rep; return *this; } constexpr __max_diff_type& operator/=(const __max_diff_type& __r) noexcept { __glibcxx_assert (__r != 0); const bool __neg = *this < 0; const bool __rneg = __r < 0; if (!__neg && !__rneg) _M_rep = _M_rep / __r._M_rep; else if (__neg && __rneg) _M_rep = -_M_rep / -__r._M_rep; else if (__neg && !__rneg) _M_rep = -(-_M_rep / __r._M_rep); else _M_rep = -(_M_rep / -__r._M_rep); return *this ; } constexpr __max_diff_type& operator%=(const __max_diff_type& __r) noexcept { __glibcxx_assert (__r != 0); if (*this >= 0 && __r > 0) _M_rep %= __r._M_rep; else *this -= (*this / __r) * __r; return *this; } constexpr __max_diff_type& operator<<=(const __max_diff_type& __r) noexcept { _M_rep.operator<<=(__r._M_rep); return *this; } constexpr __max_diff_type& operator>>=(const __max_diff_type& __r) noexcept { // Arithmetic right shift. const auto __msb = _M_rep._M_msb; _M_rep >>= __r._M_rep; _M_rep._M_msb |= __msb; return *this; } constexpr __max_diff_type& operator&=(const __max_diff_type& __r) noexcept { _M_rep &= __r._M_rep; return *this; } constexpr __max_diff_type& operator|=(const __max_diff_type& __r) noexcept { _M_rep |= __r._M_rep; return *this; } constexpr __max_diff_type& operator^=(const __max_diff_type& __r) noexcept { _M_rep ^= __r._M_rep; return *this; } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator+=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a + __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator-=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a - __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator*=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a * __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator/=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a / __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator%=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a % __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator&=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a & __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator|=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a | __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator^=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a ^ __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator<<=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a << __b)); } template requires integral<_Tp> || __is_int128<_Tp> friend constexpr _Tp& operator>>=(_Tp& __a, const __max_diff_type& __b) noexcept { return (__a = static_cast<_Tp>(__a >> __b)); } friend constexpr __max_diff_type operator+(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l += __r; return __l; } friend constexpr __max_diff_type operator-(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l -= __r; return __l; } friend constexpr __max_diff_type operator*(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l *= __r; return __l; } friend constexpr __max_diff_type operator/(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l /= __r; return __l; } friend constexpr __max_diff_type operator%(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l %= __r; return __l; } friend constexpr __max_diff_type operator<<(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l <<= __r; return __l; } friend constexpr __max_diff_type operator>>(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l >>= __r; return __l; } friend constexpr __max_diff_type operator&(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l &= __r; return __l; } friend constexpr __max_diff_type operator|(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l |= __r; return __l; } friend constexpr __max_diff_type operator^(__max_diff_type __l, const __max_diff_type& __r) noexcept { __l ^= __r; return __l; } friend constexpr bool operator==(const __max_diff_type& __l, const __max_diff_type& __r) noexcept { return __l._M_rep == __r._M_rep; } #if __cpp_lib_three_way_comparison constexpr strong_ordering operator<=>(const __max_diff_type& __r) const noexcept { const auto __lsign = _M_rep._M_msb; const auto __rsign = __r._M_rep._M_msb; if (__lsign ^ __rsign) return __lsign ? strong_ordering::less : strong_ordering::greater; else return _M_rep <=> __r._M_rep; } #else friend constexpr bool operator!=(const __max_diff_type& __l, const __max_diff_type& __r) noexcept { return !(__l == __r); } constexpr bool operator<(const __max_diff_type& __r) const noexcept { const auto __lsign = _M_rep._M_msb; const auto __rsign = __r._M_rep._M_msb; if (__lsign ^ __rsign) return __lsign; else return _M_rep < __r._M_rep; } friend constexpr bool operator>(const __max_diff_type& __l, const __max_diff_type& __r) noexcept { return __r < __l; } friend constexpr bool operator<=(const __max_diff_type& __l, const __max_diff_type& __r) noexcept { return !(__r < __l); } friend constexpr bool operator>=(const __max_diff_type& __l, const __max_diff_type& __r) noexcept { return !(__l < __r); } #endif private: __max_size_type _M_rep = 0; friend class __max_size_type; }; constexpr __max_size_type::__max_size_type(const __max_diff_type& __d) noexcept : __max_size_type(__d._M_rep) { } } // namespace __detail } // namespace ranges template<> struct numeric_limits { using _Sp = ranges::__detail::__max_size_type; static constexpr bool is_specialized = true; static constexpr bool is_signed = false; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int digits = __gnu_cxx::__int_traits<_Sp::__rep>::__digits + 1; static constexpr int digits10 = static_cast(digits * numbers::ln2 / numbers::ln10); static constexpr _Sp min() noexcept { return 0; } static constexpr _Sp max() noexcept { return _Sp(static_cast<_Sp::__rep>(-1), 1); } static constexpr _Sp lowest() noexcept { return min(); } }; template<> struct numeric_limits { using _Dp = ranges::__detail::__max_diff_type; using _Sp = ranges::__detail::__max_size_type; static constexpr bool is_specialized = true; static constexpr bool is_signed = true; static constexpr bool is_integer = true; static constexpr bool is_exact = true; static constexpr int digits = numeric_limits<_Sp>::digits - 1; static constexpr int digits10 = static_cast(digits * numbers::ln2 / numbers::ln10); static constexpr _Dp min() noexcept { return _Dp(_Sp(0, 1)); } static constexpr _Dp max() noexcept { return _Dp(_Sp(static_cast<_Sp::__rep>(-1), 0)); } static constexpr _Dp lowest() noexcept { return min(); } }; _GLIBCXX_END_NAMESPACE_VERSION } // namespace #endif // C++20 && library concepts #endif // _GLIBCXX_MAX_SIZE_TYPE_H