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- //
- // 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<uint64_t>(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {}
- constexpr int128::int128(long v) // NOLINT(runtime/int)
- : lo_{static_cast<uint64_t>(v)}, hi_{v < 0 ? ~int64_t{0} : 0} {}
- constexpr int128::int128(long long v) // NOLINT(runtime/int)
- : lo_{static_cast<uint64_t>(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<int64_t>(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<uint64_t>(v)} {}
- constexpr int128::int128(long v) // NOLINT(runtime/int)
- : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast<uint64_t>(v)} {}
- constexpr int128::int128(long long v) // NOLINT(runtime/int)
- : hi_{v < 0 ? ~int64_t{0} : 0}, lo_{static_cast<uint64_t>(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<int64_t>(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<char>(static_cast<long long>(*this));
- }
- constexpr int128::operator signed char() const {
- // NOLINTNEXTLINE(runtime/int)
- return static_cast<signed char>(static_cast<long long>(*this));
- }
- constexpr int128::operator unsigned char() const {
- return static_cast<unsigned char>(lo_);
- }
- constexpr int128::operator char16_t() const {
- return static_cast<char16_t>(lo_);
- }
- constexpr int128::operator char32_t() const {
- return static_cast<char32_t>(lo_);
- }
- constexpr int128::operator ABSL_INTERNAL_WCHAR_T() const {
- // NOLINTNEXTLINE(runtime/int)
- return static_cast<ABSL_INTERNAL_WCHAR_T>(static_cast<long long>(*this));
- }
- constexpr int128::operator short() const { // NOLINT(runtime/int)
- // NOLINTNEXTLINE(runtime/int)
- return static_cast<short>(static_cast<long long>(*this));
- }
- constexpr int128::operator unsigned short() const { // NOLINT(runtime/int)
- return static_cast<unsigned short>(lo_); // NOLINT(runtime/int)
- }
- constexpr int128::operator int() const {
- // NOLINTNEXTLINE(runtime/int)
- return static_cast<int>(static_cast<long long>(*this));
- }
- constexpr int128::operator unsigned int() const {
- return static_cast<unsigned int>(lo_);
- }
- constexpr int128::operator long() const { // NOLINT(runtime/int)
- // NOLINTNEXTLINE(runtime/int)
- return static_cast<long>(static_cast<long long>(*this));
- }
- constexpr int128::operator unsigned long() const { // NOLINT(runtime/int)
- return static_cast<unsigned long>(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<unsigned long long>(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<float>(-*this)
- : static_cast<float>(lo_) +
- std::ldexp(static_cast<float>(hi_), 64);
- }
- inline int128::operator double() const {
- // See comment in int128::operator float() above.
- return hi_ < 0 && *this != Int128Min()
- ? -static_cast<double>(-*this)
- : static_cast<double>(lo_) +
- std::ldexp(static_cast<double>(hi_), 64);
- }
- inline int128::operator long double() const {
- // See comment in int128::operator float() above.
- return hi_ < 0 && *this != Int128Min()
- ? -static_cast<long double>(-*this)
- : static_cast<long double>(lo_) +
- std::ldexp(static_cast<long double>(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<int64_t>(Int128Low64(lhs) >> (64 - amount)),
- Int128Low64(lhs) << amount);
- } else if (amount == 63) {
- return MakeInt128(((Int128High64(lhs) << 32) << 31) |
- static_cast<int64_t>(Int128Low64(lhs) >> 1),
- (Int128Low64(lhs) << 32) << 31);
- } else if (amount == 127) {
- return MakeInt128(static_cast<int64_t>(Int128Low64(lhs) << 63), 0);
- } else if (amount > 127) {
- return MakeInt128(0, 0);
- } else {
- // amount >= 64 && amount < 127
- return MakeInt128(static_cast<int64_t>(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<uint64_t>(Int128High64(lhs))
- << (64 - amount));
- } else if (amount == 63) {
- return MakeInt128((Int128High64(lhs) >> 32) >> 31,
- static_cast<uint64_t>(Int128High64(lhs) << 1) |
- (Int128Low64(lhs) >> 32) >> 31);
- } else if (amount >= 127) {
- return MakeInt128((Int128High64(lhs) >> 32) >> 31,
- static_cast<uint64_t>((Int128High64(lhs) >> 32) >> 31));
- } else {
- // amount >= 64 && amount < 127
- return MakeInt128(
- (Int128High64(lhs) >> 32) >> 31,
- static_cast<uint64_t>(Int128High64(lhs) >> (amount - 64)));
- }
- }
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