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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 defined. This file is
// included by int128.h and relies on ABSL_INTERNAL_WCHAR_T being defined.
namespace int128_internal {
// Casts from unsigned to signed while preserving the underlying binary
// representation.
constexpr __int128 BitCastToSigned(unsigned __int128 v) {
// Casting an unsigned integer to a signed integer of the same
// width is implementation defined behavior if the source value would not fit
// in the destination type. We step around it with a roundtrip bitwise not
// operation to make sure this function remains constexpr. Clang and GCC
// optimize this to a no-op on x86-64.
return v & (static_cast<unsigned __int128>(1) << 127)
? ~static_cast<__int128>(~v)
: static_cast<__int128>(v);
}
} // namespace int128_internal
inline int128& int128::operator=(__int128 v) {
v_ = v;
return *this;
}
constexpr uint64_t Int128Low64(int128 v) {
return static_cast<uint64_t>(v.v_ & ~uint64_t{0});
}
constexpr int64_t Int128High64(int128 v) {
// Initially cast to unsigned to prevent a right shift on a negative value.
return int128_internal::BitCastToSigned(
static_cast<uint64_t>(static_cast<unsigned __int128>(v.v_) >> 64));
}
constexpr int128::int128(int64_t high, uint64_t low)
// Initially cast to unsigned to prevent a left shift that overflows.
: v_(int128_internal::BitCastToSigned(static_cast<unsigned __int128>(high)
<< 64) |
low) {}
constexpr int128::int128(int v) : v_{v} {}
constexpr int128::int128(long v) : v_{v} {} // NOLINT(runtime/int)
constexpr int128::int128(long long v) : v_{v} {} // NOLINT(runtime/int)
constexpr int128::int128(__int128 v) : v_{v} {}
constexpr int128::int128(unsigned int v) : v_{v} {}
constexpr int128::int128(unsigned long v) : v_{v} {} // NOLINT(runtime/int)
// NOLINTNEXTLINE(runtime/int)
constexpr int128::int128(unsigned long long v) : v_{v} {}
constexpr int128::int128(unsigned __int128 v) : v_{static_cast<__int128>(v)} {}
inline int128::int128(float v) {
v_ = static_cast<__int128>(v);
}
inline int128::int128(double v) {
v_ = static_cast<__int128>(v);
}
inline int128::int128(long double v) {
v_ = static_cast<__int128>(v);
}
constexpr int128::int128(uint128 v) : v_{static_cast<__int128>(v)} {}
constexpr int128::operator bool() const { return static_cast<bool>(v_); }
constexpr int128::operator char() const { return static_cast<char>(v_); }
constexpr int128::operator signed char() const {
return static_cast<signed char>(v_);
}
constexpr int128::operator unsigned char() const {
return static_cast<unsigned char>(v_);
}
constexpr int128::operator char16_t() const {
return static_cast<char16_t>(v_);
}
constexpr int128::operator char32_t() const {
return static_cast<char32_t>(v_);
}
constexpr int128::operator ABSL_INTERNAL_WCHAR_T() const {
return static_cast<ABSL_INTERNAL_WCHAR_T>(v_);
}
constexpr int128::operator short() const { // NOLINT(runtime/int)
return static_cast<short>(v_); // NOLINT(runtime/int)
}
constexpr int128::operator unsigned short() const { // NOLINT(runtime/int)
return static_cast<unsigned short>(v_); // NOLINT(runtime/int)
}
constexpr int128::operator int() const {
return static_cast<int>(v_);
}
constexpr int128::operator unsigned int() const {
return static_cast<unsigned int>(v_);
}
constexpr int128::operator long() const { // NOLINT(runtime/int)
return static_cast<long>(v_); // NOLINT(runtime/int)
}
constexpr int128::operator unsigned long() const { // NOLINT(runtime/int)
return static_cast<unsigned long>(v_); // NOLINT(runtime/int)
}
constexpr int128::operator long long() const { // NOLINT(runtime/int)
return static_cast<long long>(v_); // NOLINT(runtime/int)
}
constexpr int128::operator unsigned long long() const { // NOLINT(runtime/int)
return static_cast<unsigned long long>(v_); // NOLINT(runtime/int)
}
constexpr int128::operator __int128() const { return v_; }
constexpr int128::operator unsigned __int128() const {
return static_cast<unsigned __int128>(v_);
}
// Clang on PowerPC sometimes produces incorrect __int128 to floating point
// conversions. In that case, we do the conversion with a similar implementation
// to the conversion operators in int128_no_intrinsic.inc.
#if defined(__clang__) && !defined(__ppc64__)
inline int128::operator float() const { return static_cast<float>(v_); }
inline int128::operator double() const { return static_cast<double>(v_); }
inline int128::operator long double() const {
return static_cast<long double>(v_);
}
#else // Clang on PowerPC
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 v_ < 0 && *this != Int128Min()
? -static_cast<float>(-*this)
: static_cast<float>(Int128Low64(*this)) +
std::ldexp(static_cast<float>(Int128High64(*this)), 64);
}
inline int128::operator double() const {
// See comment in int128::operator float() above.
return v_ < 0 && *this != Int128Min()
? -static_cast<double>(-*this)
: static_cast<double>(Int128Low64(*this)) +
std::ldexp(static_cast<double>(Int128High64(*this)), 64);
}
inline int128::operator long double() const {
// See comment in int128::operator float() above.
return v_ < 0 && *this != Int128Min()
? -static_cast<long double>(-*this)
: static_cast<long double>(Int128Low64(*this)) +
std::ldexp(static_cast<long double>(Int128High64(*this)),
64);
}
#endif // Clang on PowerPC
// Comparison operators.
constexpr bool operator==(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) == static_cast<__int128>(rhs);
}
constexpr bool operator!=(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) != static_cast<__int128>(rhs);
}
constexpr bool operator<(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) < static_cast<__int128>(rhs);
}
constexpr bool operator>(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) > static_cast<__int128>(rhs);
}
constexpr bool operator<=(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) <= static_cast<__int128>(rhs);
}
constexpr bool operator>=(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) >= static_cast<__int128>(rhs);
}
#ifdef __cpp_impl_three_way_comparison
constexpr absl::strong_ordering operator<=>(int128 lhs, int128 rhs) {
if (auto lhs_128 = static_cast<__int128>(lhs),
rhs_128 = static_cast<__int128>(rhs);
lhs_128 < rhs_128) {
return absl::strong_ordering::less;
} else if (lhs_128 > rhs_128) {
return absl::strong_ordering::greater;
} else {
return absl::strong_ordering::equal;
}
}
#endif
// Unary operators.
constexpr int128 operator-(int128 v) { return -static_cast<__int128>(v); }
constexpr bool operator!(int128 v) { return !static_cast<__int128>(v); }
constexpr int128 operator~(int128 val) { return ~static_cast<__int128>(val); }
// Arithmetic operators.
constexpr int128 operator+(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) + static_cast<__int128>(rhs);
}
constexpr int128 operator-(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) - static_cast<__int128>(rhs);
}
inline int128 operator*(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) * static_cast<__int128>(rhs);
}
inline int128 operator/(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) / static_cast<__int128>(rhs);
}
inline int128 operator%(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) % static_cast<__int128>(rhs);
}
inline int128 int128::operator++(int) {
int128 tmp(*this);
++v_;
return tmp;
}
inline int128 int128::operator--(int) {
int128 tmp(*this);
--v_;
return tmp;
}
inline int128& int128::operator++() {
++v_;
return *this;
}
inline int128& int128::operator--() {
--v_;
return *this;
}
constexpr int128 operator|(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) | static_cast<__int128>(rhs);
}
constexpr int128 operator&(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) & static_cast<__int128>(rhs);
}
constexpr int128 operator^(int128 lhs, int128 rhs) {
return static_cast<__int128>(lhs) ^ static_cast<__int128>(rhs);
}
constexpr int128 operator<<(int128 lhs, int amount) {
return static_cast<__int128>(lhs) << amount;
}
constexpr int128 operator>>(int128 lhs, int amount) {
return static_cast<__int128>(lhs) >> amount;
}