// // Copyright 2017 The Abseil Authors. // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // // https://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. // This file contains :int128 implementation details that depend on internal // representation when ABSL_HAVE_INTRINSIC_INT128 is *not* defined. This file // is included by int128.h and relies on ABSL_INTERNAL_WCHAR_T being defined. constexpr uint64_t Int128Low64(int128 v) { return v.lo_; } constexpr int64_t Int128High64(int128 v) { return v.hi_; } #if defined(ABSL_IS_LITTLE_ENDIAN) constexpr int128::int128(int64_t high, uint64_t low) : lo_(low), hi_(high) {} constexpr int128::int128(int v) : lo_{static_cast(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {} constexpr int128::int128(long v) // NOLINT(runtime/int) : lo_{static_cast(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {} constexpr int128::int128(long long v) // NOLINT(runtime/int) : lo_{static_cast(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {} constexpr int128::int128(unsigned int v) : lo_{v}, hi_{0} {} // NOLINTNEXTLINE(runtime/int) constexpr int128::int128(unsigned long v) : lo_{v}, hi_{0} {} // NOLINTNEXTLINE(runtime/int) constexpr int128::int128(unsigned long long v) : lo_{v}, hi_{0} {} constexpr int128::int128(uint128 v) : lo_{Uint128Low64(v)}, hi_{static_cast(Uint128High64(v))} {} #elif defined(ABSL_IS_BIG_ENDIAN) constexpr int128::int128(int64_t high, uint64_t low) : hi_{high}, lo_{low} {} constexpr int128::int128(int v) : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast(v)} {} constexpr int128::int128(long v) // NOLINT(runtime/int) : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast(v)} {} constexpr int128::int128(long long v) // NOLINT(runtime/int) : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast(v)} {} constexpr int128::int128(unsigned int v) : hi_{0}, lo_{v} {} // NOLINTNEXTLINE(runtime/int) constexpr int128::int128(unsigned long v) : hi_{0}, lo_{v} {} // NOLINTNEXTLINE(runtime/int) constexpr int128::int128(unsigned long long v) : hi_{0}, lo_{v} {} constexpr int128::int128(uint128 v) : hi_{static_cast(Uint128High64(v))}, lo_{Uint128Low64(v)} {} #else // byte order #error "Unsupported byte order: must be little-endian or big-endian." #endif // byte order constexpr int128::operator bool() const { return lo_ || hi_; } constexpr int128::operator char() const { // NOLINTNEXTLINE(runtime/int) return static_cast(static_cast(*this)); } constexpr int128::operator signed char() const { // NOLINTNEXTLINE(runtime/int) return static_cast(static_cast(*this)); } constexpr int128::operator unsigned char() const { return static_cast(lo_); } constexpr int128::operator char16_t() const { return static_cast(lo_); } constexpr int128::operator char32_t() const { return static_cast(lo_); } constexpr int128::operator ABSL_INTERNAL_WCHAR_T() const { // NOLINTNEXTLINE(runtime/int) return static_cast(static_cast(*this)); } constexpr int128::operator short() const { // NOLINT(runtime/int) // NOLINTNEXTLINE(runtime/int) return static_cast(static_cast(*this)); } constexpr int128::operator unsigned short() const { // NOLINT(runtime/int) return static_cast(lo_); // NOLINT(runtime/int) } constexpr int128::operator int() const { // NOLINTNEXTLINE(runtime/int) return static_cast(static_cast(*this)); } constexpr int128::operator unsigned int() const { return static_cast(lo_); } constexpr int128::operator long() const { // NOLINT(runtime/int) // NOLINTNEXTLINE(runtime/int) return static_cast(static_cast(*this)); } constexpr int128::operator unsigned long() const { // NOLINT(runtime/int) return static_cast(lo_); // NOLINT(runtime/int) } constexpr int128::operator long long() const { // NOLINT(runtime/int) // We don't bother checking the value of hi_. If *this < 0, lo_'s high bit // must be set in order for the value to fit into a long long. Conversely, if // lo_'s high bit is set, *this must be < 0 for the value to fit. return int128_internal::BitCastToSigned(lo_); } constexpr int128::operator unsigned long long() const { // NOLINT(runtime/int) return static_cast(lo_); // NOLINT(runtime/int) } inline int128::operator float() const { // We must convert the absolute value and then negate as needed, because // floating point types are typically sign-magnitude. Otherwise, the // difference between the high and low 64 bits when interpreted as two's // complement overwhelms the precision of the mantissa. // // Also check to make sure we don't negate Int128Min() return hi_ < 0 && *this != Int128Min() ? -static_cast(-*this) : static_cast(lo_) + std::ldexp(static_cast(hi_), 64); } inline int128::operator double() const { // See comment in int128::operator float() above. return hi_ < 0 && *this != Int128Min() ? -static_cast(-*this) : static_cast(lo_) + std::ldexp(static_cast(hi_), 64); } inline int128::operator long double() const { // See comment in int128::operator float() above. return hi_ < 0 && *this != Int128Min() ? -static_cast(-*this) : static_cast(lo_) + std::ldexp(static_cast(hi_), 64); } // Comparison operators. constexpr bool operator==(int128 lhs, int128 rhs) { return (Int128Low64(lhs) == Int128Low64(rhs) && Int128High64(lhs) == Int128High64(rhs)); } constexpr bool operator!=(int128 lhs, int128 rhs) { return !(lhs == rhs); } constexpr bool operator<(int128 lhs, int128 rhs) { return (Int128High64(lhs) == Int128High64(rhs)) ? (Int128Low64(lhs) < Int128Low64(rhs)) : (Int128High64(lhs) < Int128High64(rhs)); } constexpr bool operator>(int128 lhs, int128 rhs) { return (Int128High64(lhs) == Int128High64(rhs)) ? (Int128Low64(lhs) > Int128Low64(rhs)) : (Int128High64(lhs) > Int128High64(rhs)); } constexpr bool operator<=(int128 lhs, int128 rhs) { return !(lhs > rhs); } constexpr bool operator>=(int128 lhs, int128 rhs) { return !(lhs < rhs); } #ifdef __cpp_impl_three_way_comparison constexpr absl::strong_ordering operator<=>(int128 lhs, int128 rhs) { if (int64_t lhs_high = Int128High64(lhs), rhs_high = Int128High64(rhs); lhs_high < rhs_high) { return absl::strong_ordering::less; } else if (lhs_high > rhs_high) { return absl::strong_ordering::greater; } else if (uint64_t lhs_low = Uint128Low64(lhs), rhs_low = Uint128Low64(rhs); lhs_low < rhs_low) { return absl::strong_ordering::less; } else if (lhs_low > rhs_low) { return absl::strong_ordering::greater; } else { return absl::strong_ordering::equal; } } #endif // Unary operators. constexpr int128 operator-(int128 v) { return MakeInt128(~Int128High64(v) + (Int128Low64(v) == 0), ~Int128Low64(v) + 1); } constexpr bool operator!(int128 v) { return !Int128Low64(v) && !Int128High64(v); } constexpr int128 operator~(int128 val) { return MakeInt128(~Int128High64(val), ~Int128Low64(val)); } // Arithmetic operators. namespace int128_internal { constexpr int128 SignedAddResult(int128 result, int128 lhs) { // check for carry return (Int128Low64(result) < Int128Low64(lhs)) ? MakeInt128(Int128High64(result) + 1, Int128Low64(result)) : result; } } // namespace int128_internal constexpr int128 operator+(int128 lhs, int128 rhs) { return int128_internal::SignedAddResult( MakeInt128(Int128High64(lhs) + Int128High64(rhs), Int128Low64(lhs) + Int128Low64(rhs)), lhs); } namespace int128_internal { constexpr int128 SignedSubstructResult(int128 result, int128 lhs, int128 rhs) { // check for carry return (Int128Low64(lhs) < Int128Low64(rhs)) ? MakeInt128(Int128High64(result) - 1, Int128Low64(result)) : result; } } // namespace int128_internal constexpr int128 operator-(int128 lhs, int128 rhs) { return int128_internal::SignedSubstructResult( MakeInt128(Int128High64(lhs) - Int128High64(rhs), Int128Low64(lhs) - Int128Low64(rhs)), lhs, rhs); } inline int128 operator*(int128 lhs, int128 rhs) { return MakeInt128( int128_internal::BitCastToSigned(Uint128High64(uint128(lhs) * rhs)), Uint128Low64(uint128(lhs) * rhs)); } inline int128 int128::operator++(int) { int128 tmp(*this); *this += 1; return tmp; } inline int128 int128::operator--(int) { int128 tmp(*this); *this -= 1; return tmp; } inline int128& int128::operator++() { *this += 1; return *this; } inline int128& int128::operator--() { *this -= 1; return *this; } constexpr int128 operator|(int128 lhs, int128 rhs) { return MakeInt128(Int128High64(lhs) | Int128High64(rhs), Int128Low64(lhs) | Int128Low64(rhs)); } constexpr int128 operator&(int128 lhs, int128 rhs) { return MakeInt128(Int128High64(lhs) & Int128High64(rhs), Int128Low64(lhs) & Int128Low64(rhs)); } constexpr int128 operator^(int128 lhs, int128 rhs) { return MakeInt128(Int128High64(lhs) ^ Int128High64(rhs), Int128Low64(lhs) ^ Int128Low64(rhs)); } constexpr int128 operator<<(int128 lhs, int amount) { // int64_t shifts of >= 63 are undefined, so we need some special-casing. assert(amount >= 0 && amount < 127); if (amount <= 0) { return lhs; } else if (amount < 63) { return MakeInt128( (Int128High64(lhs) << amount) | static_cast(Int128Low64(lhs) >> (64 - amount)), Int128Low64(lhs) << amount); } else if (amount == 63) { return MakeInt128(((Int128High64(lhs) << 32) << 31) | static_cast(Int128Low64(lhs) >> 1), (Int128Low64(lhs) << 32) << 31); } else if (amount == 127) { return MakeInt128(static_cast(Int128Low64(lhs) << 63), 0); } else if (amount > 127) { return MakeInt128(0, 0); } else { // amount >= 64 && amount < 127 return MakeInt128(static_cast(Int128Low64(lhs) << (amount - 64)), 0); } } constexpr int128 operator>>(int128 lhs, int amount) { // int64_t shifts of >= 63 are undefined, so we need some special-casing. assert(amount >= 0 && amount < 127); if (amount <= 0) { return lhs; } else if (amount < 63) { return MakeInt128( Int128High64(lhs) >> amount, Int128Low64(lhs) >> amount | static_cast(Int128High64(lhs)) << (64 - amount)); } else if (amount == 63) { return MakeInt128((Int128High64(lhs) >> 32) >> 31, static_cast(Int128High64(lhs) << 1) | (Int128Low64(lhs) >> 32) >> 31); } else if (amount >= 127) { return MakeInt128((Int128High64(lhs) >> 32) >> 31, static_cast((Int128High64(lhs) >> 32) >> 31)); } else { // amount >= 64 && amount < 127 return MakeInt128( (Int128High64(lhs) >> 32) >> 31, static_cast(Int128High64(lhs) >> (amount - 64))); } }