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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.
+//
+// -----------------------------------------------------------------------------
+// File: int128.h
+// -----------------------------------------------------------------------------
+//
+// This header file defines 128-bit integer types, `uint128` and `int128`.
+
+#ifndef ABSL_NUMERIC_INT128_H_
+#define ABSL_NUMERIC_INT128_H_
+
+#include <cassert>
+#include <cmath>
+#include <cstdint>
+#include <cstring>
+#include <iosfwd>
+#include <limits>
+#include <utility>
+
+#include "absl/base/config.h"
+#include "absl/base/macros.h"
+#include "absl/base/port.h"
+
+#if defined(_MSC_VER)
+// In very old versions of MSVC and when the /Zc:wchar_t flag is off, wchar_t is
+// a typedef for unsigned short. Otherwise wchar_t is mapped to the __wchar_t
+// builtin type. We need to make sure not to define operator wchar_t()
+// alongside operator unsigned short() in these instances.
+#define ABSL_INTERNAL_WCHAR_T __wchar_t
+#if defined(_M_X64)
+#include <intrin.h>
+#pragma intrinsic(_umul128)
+#endif // defined(_M_X64)
+#else // defined(_MSC_VER)
+#define ABSL_INTERNAL_WCHAR_T wchar_t
+#endif // defined(_MSC_VER)
+
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+
+class int128;
+
+// uint128
+//
+// An unsigned 128-bit integer type. The API is meant to mimic an intrinsic type
+// as closely as is practical, including exhibiting undefined behavior in
+// analogous cases (e.g. division by zero). This type is intended to be a
+// drop-in replacement once C++ supports an intrinsic `uint128_t` type; when
+// that occurs, existing well-behaved uses of `uint128` will continue to work
+// using that new type.
+//
+// Note: code written with this type will continue to compile once `uint128_t`
+// is introduced, provided the replacement helper functions
+// `Uint128(Low|High)64()` and `MakeUint128()` are made.
+//
+// A `uint128` supports the following:
+//
+// * Implicit construction from integral types
+// * Explicit conversion to integral types
+//
+// Additionally, if your compiler supports `__int128`, `uint128` is
+// interoperable with that type. (Abseil checks for this compatibility through
+// the `ABSL_HAVE_INTRINSIC_INT128` macro.)
+//
+// However, a `uint128` differs from intrinsic integral types in the following
+// ways:
+//
+// * Errors on implicit conversions that do not preserve value (such as
+// loss of precision when converting to float values).
+// * Requires explicit construction from and conversion to floating point
+// types.
+// * Conversion to integral types requires an explicit static_cast() to
+// mimic use of the `-Wnarrowing` compiler flag.
+// * The alignment requirement of `uint128` may differ from that of an
+// intrinsic 128-bit integer type depending on platform and build
+// configuration.
+//
+// Example:
+//
+// float y = absl::Uint128Max(); // Error. uint128 cannot be implicitly
+// // converted to float.
+//
+// absl::uint128 v;
+// uint64_t i = v; // Error
+// uint64_t i = static_cast<uint64_t>(v); // OK
+//
+class
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ alignas(unsigned __int128)
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ uint128 {
+ public:
+ uint128() = default;
+
+ // Constructors from arithmetic types
+ constexpr uint128(int v); // NOLINT(runtime/explicit)
+ constexpr uint128(unsigned int v); // NOLINT(runtime/explicit)
+ constexpr uint128(long v); // NOLINT(runtime/int)
+ constexpr uint128(unsigned long v); // NOLINT(runtime/int)
+ constexpr uint128(long long v); // NOLINT(runtime/int)
+ constexpr uint128(unsigned long long v); // NOLINT(runtime/int)
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ constexpr uint128(__int128 v); // NOLINT(runtime/explicit)
+ constexpr uint128(unsigned __int128 v); // NOLINT(runtime/explicit)
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ constexpr uint128(int128 v); // NOLINT(runtime/explicit)
+ explicit uint128(float v);
+ explicit uint128(double v);
+ explicit uint128(long double v);
+
+ // Assignment operators from arithmetic types
+ uint128& operator=(int v);
+ uint128& operator=(unsigned int v);
+ uint128& operator=(long v); // NOLINT(runtime/int)
+ uint128& operator=(unsigned long v); // NOLINT(runtime/int)
+ uint128& operator=(long long v); // NOLINT(runtime/int)
+ uint128& operator=(unsigned long long v); // NOLINT(runtime/int)
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ uint128& operator=(__int128 v);
+ uint128& operator=(unsigned __int128 v);
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ uint128& operator=(int128 v);
+
+ // Conversion operators to other arithmetic types
+ constexpr explicit operator bool() const;
+ constexpr explicit operator char() const;
+ constexpr explicit operator signed char() const;
+ constexpr explicit operator unsigned char() const;
+ constexpr explicit operator char16_t() const;
+ constexpr explicit operator char32_t() const;
+ constexpr explicit operator ABSL_INTERNAL_WCHAR_T() const;
+ constexpr explicit operator short() const; // NOLINT(runtime/int)
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator unsigned short() const;
+ constexpr explicit operator int() const;
+ constexpr explicit operator unsigned int() const;
+ constexpr explicit operator long() const; // NOLINT(runtime/int)
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator unsigned long() const;
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator long long() const;
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator unsigned long long() const;
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ constexpr explicit operator __int128() const;
+ constexpr explicit operator unsigned __int128() const;
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ explicit operator float() const;
+ explicit operator double() const;
+ explicit operator long double() const;
+
+ // Trivial copy constructor, assignment operator and destructor.
+
+ // Arithmetic operators.
+ uint128& operator+=(uint128 other);
+ uint128& operator-=(uint128 other);
+ uint128& operator*=(uint128 other);
+ // Long division/modulo for uint128.
+ uint128& operator/=(uint128 other);
+ uint128& operator%=(uint128 other);
+ uint128 operator++(int);
+ uint128 operator--(int);
+ uint128& operator<<=(int);
+ uint128& operator>>=(int);
+ uint128& operator&=(uint128 other);
+ uint128& operator|=(uint128 other);
+ uint128& operator^=(uint128 other);
+ uint128& operator++();
+ uint128& operator--();
+
+ // Uint128Low64()
+ //
+ // Returns the lower 64-bit value of a `uint128` value.
+ friend constexpr uint64_t Uint128Low64(uint128 v);
+
+ // Uint128High64()
+ //
+ // Returns the higher 64-bit value of a `uint128` value.
+ friend constexpr uint64_t Uint128High64(uint128 v);
+
+ // MakeUInt128()
+ //
+ // Constructs a `uint128` numeric value from two 64-bit unsigned integers.
+ // Note that this factory function is the only way to construct a `uint128`
+ // from integer values greater than 2^64.
+ //
+ // Example:
+ //
+ // absl::uint128 big = absl::MakeUint128(1, 0);
+ friend constexpr uint128 MakeUint128(uint64_t high, uint64_t low);
+
+ // Uint128Max()
+ //
+ // Returns the highest value for a 128-bit unsigned integer.
+ friend constexpr uint128 Uint128Max();
+
+ // Support for absl::Hash.
+ template <typename H>
+ friend H AbslHashValue(H h, uint128 v) {
+ return H::combine(std::move(h), Uint128High64(v), Uint128Low64(v));
+ }
+
+ private:
+ constexpr uint128(uint64_t high, uint64_t low);
+
+ // TODO(strel) Update implementation to use __int128 once all users of
+ // uint128 are fixed to not depend on alignof(uint128) == 8. Also add
+ // alignas(16) to class definition to keep alignment consistent across
+ // platforms.
+#if defined(ABSL_IS_LITTLE_ENDIAN)
+ uint64_t lo_;
+ uint64_t hi_;
+#elif defined(ABSL_IS_BIG_ENDIAN)
+ uint64_t hi_;
+ uint64_t lo_;
+#else // byte order
+#error "Unsupported byte order: must be little-endian or big-endian."
+#endif // byte order
+};
+
+// Prefer to use the constexpr `Uint128Max()`.
+//
+// TODO(absl-team) deprecate kuint128max once migration tool is released.
+ABSL_DLL extern const uint128 kuint128max;
+
+// allow uint128 to be logged
+std::ostream& operator<<(std::ostream& os, uint128 v);
+
+// TODO(strel) add operator>>(std::istream&, uint128)
+
+constexpr uint128 Uint128Max() {
+ return uint128((std::numeric_limits<uint64_t>::max)(),
+ (std::numeric_limits<uint64_t>::max)());
+}
+
+ABSL_NAMESPACE_END
+} // namespace absl
+
+// Specialized numeric_limits for uint128.
+namespace std {
+template <>
+class numeric_limits<absl::uint128> {
+ public:
+ 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 bool has_infinity = false;
+ static constexpr bool has_quiet_NaN = false;
+ static constexpr bool has_signaling_NaN = false;
+ static constexpr float_denorm_style has_denorm = denorm_absent;
+ static constexpr bool has_denorm_loss = false;
+ static constexpr float_round_style round_style = round_toward_zero;
+ static constexpr bool is_iec559 = false;
+ static constexpr bool is_bounded = true;
+ static constexpr bool is_modulo = true;
+ static constexpr int digits = 128;
+ static constexpr int digits10 = 38;
+ static constexpr int max_digits10 = 0;
+ static constexpr int radix = 2;
+ static constexpr int min_exponent = 0;
+ static constexpr int min_exponent10 = 0;
+ static constexpr int max_exponent = 0;
+ static constexpr int max_exponent10 = 0;
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ static constexpr bool traps = numeric_limits<unsigned __int128>::traps;
+#else // ABSL_HAVE_INTRINSIC_INT128
+ static constexpr bool traps = numeric_limits<uint64_t>::traps;
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ static constexpr bool tinyness_before = false;
+
+ static constexpr absl::uint128 (min)() { return 0; }
+ static constexpr absl::uint128 lowest() { return 0; }
+ static constexpr absl::uint128 (max)() { return absl::Uint128Max(); }
+ static constexpr absl::uint128 epsilon() { return 0; }
+ static constexpr absl::uint128 round_error() { return 0; }
+ static constexpr absl::uint128 infinity() { return 0; }
+ static constexpr absl::uint128 quiet_NaN() { return 0; }
+ static constexpr absl::uint128 signaling_NaN() { return 0; }
+ static constexpr absl::uint128 denorm_min() { return 0; }
+};
+} // namespace std
+
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+
+// int128
+//
+// A signed 128-bit integer type. The API is meant to mimic an intrinsic
+// integral type as closely as is practical, including exhibiting undefined
+// behavior in analogous cases (e.g. division by zero).
+//
+// An `int128` supports the following:
+//
+// * Implicit construction from integral types
+// * Explicit conversion to integral types
+//
+// However, an `int128` differs from intrinsic integral types in the following
+// ways:
+//
+// * It is not implicitly convertible to other integral types.
+// * Requires explicit construction from and conversion to floating point
+// types.
+
+// Additionally, if your compiler supports `__int128`, `int128` is
+// interoperable with that type. (Abseil checks for this compatibility through
+// the `ABSL_HAVE_INTRINSIC_INT128` macro.)
+//
+// The design goal for `int128` is that it will be compatible with a future
+// `int128_t`, if that type becomes a part of the standard.
+//
+// Example:
+//
+// float y = absl::int128(17); // Error. int128 cannot be implicitly
+// // converted to float.
+//
+// absl::int128 v;
+// int64_t i = v; // Error
+// int64_t i = static_cast<int64_t>(v); // OK
+//
+class int128 {
+ public:
+ int128() = default;
+
+ // Constructors from arithmetic types
+ constexpr int128(int v); // NOLINT(runtime/explicit)
+ constexpr int128(unsigned int v); // NOLINT(runtime/explicit)
+ constexpr int128(long v); // NOLINT(runtime/int)
+ constexpr int128(unsigned long v); // NOLINT(runtime/int)
+ constexpr int128(long long v); // NOLINT(runtime/int)
+ constexpr int128(unsigned long long v); // NOLINT(runtime/int)
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ constexpr int128(__int128 v); // NOLINT(runtime/explicit)
+ constexpr explicit int128(unsigned __int128 v);
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ constexpr explicit int128(uint128 v);
+ explicit int128(float v);
+ explicit int128(double v);
+ explicit int128(long double v);
+
+ // Assignment operators from arithmetic types
+ int128& operator=(int v);
+ int128& operator=(unsigned int v);
+ int128& operator=(long v); // NOLINT(runtime/int)
+ int128& operator=(unsigned long v); // NOLINT(runtime/int)
+ int128& operator=(long long v); // NOLINT(runtime/int)
+ int128& operator=(unsigned long long v); // NOLINT(runtime/int)
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ int128& operator=(__int128 v);
+#endif // ABSL_HAVE_INTRINSIC_INT128
+
+ // Conversion operators to other arithmetic types
+ constexpr explicit operator bool() const;
+ constexpr explicit operator char() const;
+ constexpr explicit operator signed char() const;
+ constexpr explicit operator unsigned char() const;
+ constexpr explicit operator char16_t() const;
+ constexpr explicit operator char32_t() const;
+ constexpr explicit operator ABSL_INTERNAL_WCHAR_T() const;
+ constexpr explicit operator short() const; // NOLINT(runtime/int)
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator unsigned short() const;
+ constexpr explicit operator int() const;
+ constexpr explicit operator unsigned int() const;
+ constexpr explicit operator long() const; // NOLINT(runtime/int)
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator unsigned long() const;
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator long long() const;
+ // NOLINTNEXTLINE(runtime/int)
+ constexpr explicit operator unsigned long long() const;
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ constexpr explicit operator __int128() const;
+ constexpr explicit operator unsigned __int128() const;
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ explicit operator float() const;
+ explicit operator double() const;
+ explicit operator long double() const;
+
+ // Trivial copy constructor, assignment operator and destructor.
+
+ // Arithmetic operators
+ int128& operator+=(int128 other);
+ int128& operator-=(int128 other);
+ int128& operator*=(int128 other);
+ int128& operator/=(int128 other);
+ int128& operator%=(int128 other);
+ int128 operator++(int); // postfix increment: i++
+ int128 operator--(int); // postfix decrement: i--
+ int128& operator++(); // prefix increment: ++i
+ int128& operator--(); // prefix decrement: --i
+ int128& operator&=(int128 other);
+ int128& operator|=(int128 other);
+ int128& operator^=(int128 other);
+ int128& operator<<=(int amount);
+ int128& operator>>=(int amount);
+
+ // Int128Low64()
+ //
+ // Returns the lower 64-bit value of a `int128` value.
+ friend constexpr uint64_t Int128Low64(int128 v);
+
+ // Int128High64()
+ //
+ // Returns the higher 64-bit value of a `int128` value.
+ friend constexpr int64_t Int128High64(int128 v);
+
+ // MakeInt128()
+ //
+ // Constructs a `int128` numeric value from two 64-bit integers. Note that
+ // signedness is conveyed in the upper `high` value.
+ //
+ // (absl::int128(1) << 64) * high + low
+ //
+ // Note that this factory function is the only way to construct a `int128`
+ // from integer values greater than 2^64 or less than -2^64.
+ //
+ // Example:
+ //
+ // absl::int128 big = absl::MakeInt128(1, 0);
+ // absl::int128 big_n = absl::MakeInt128(-1, 0);
+ friend constexpr int128 MakeInt128(int64_t high, uint64_t low);
+
+ // Int128Max()
+ //
+ // Returns the maximum value for a 128-bit signed integer.
+ friend constexpr int128 Int128Max();
+
+ // Int128Min()
+ //
+ // Returns the minimum value for a 128-bit signed integer.
+ friend constexpr int128 Int128Min();
+
+ // Support for absl::Hash.
+ template <typename H>
+ friend H AbslHashValue(H h, int128 v) {
+ return H::combine(std::move(h), Int128High64(v), Int128Low64(v));
+ }
+
+ private:
+ constexpr int128(int64_t high, uint64_t low);
+
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ __int128 v_;
+#else // ABSL_HAVE_INTRINSIC_INT128
+#if defined(ABSL_IS_LITTLE_ENDIAN)
+ uint64_t lo_;
+ int64_t hi_;
+#elif defined(ABSL_IS_BIG_ENDIAN)
+ int64_t hi_;
+ uint64_t lo_;
+#else // byte order
+#error "Unsupported byte order: must be little-endian or big-endian."
+#endif // byte order
+#endif // ABSL_HAVE_INTRINSIC_INT128
+};
+
+std::ostream& operator<<(std::ostream& os, int128 v);
+
+// TODO(absl-team) add operator>>(std::istream&, int128)
+
+constexpr int128 Int128Max() {
+ return int128((std::numeric_limits<int64_t>::max)(),
+ (std::numeric_limits<uint64_t>::max)());
+}
+
+constexpr int128 Int128Min() {
+ return int128((std::numeric_limits<int64_t>::min)(), 0);
+}
+
+ABSL_NAMESPACE_END
+} // namespace absl
+
+// Specialized numeric_limits for int128.
+namespace std {
+template <>
+class numeric_limits<absl::int128> {
+ public:
+ 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 bool has_infinity = false;
+ static constexpr bool has_quiet_NaN = false;
+ static constexpr bool has_signaling_NaN = false;
+ static constexpr float_denorm_style has_denorm = denorm_absent;
+ static constexpr bool has_denorm_loss = false;
+ static constexpr float_round_style round_style = round_toward_zero;
+ static constexpr bool is_iec559 = false;
+ static constexpr bool is_bounded = true;
+ static constexpr bool is_modulo = false;
+ static constexpr int digits = 127;
+ static constexpr int digits10 = 38;
+ static constexpr int max_digits10 = 0;
+ static constexpr int radix = 2;
+ static constexpr int min_exponent = 0;
+ static constexpr int min_exponent10 = 0;
+ static constexpr int max_exponent = 0;
+ static constexpr int max_exponent10 = 0;
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+ static constexpr bool traps = numeric_limits<__int128>::traps;
+#else // ABSL_HAVE_INTRINSIC_INT128
+ static constexpr bool traps = numeric_limits<uint64_t>::traps;
+#endif // ABSL_HAVE_INTRINSIC_INT128
+ static constexpr bool tinyness_before = false;
+
+ static constexpr absl::int128 (min)() { return absl::Int128Min(); }
+ static constexpr absl::int128 lowest() { return absl::Int128Min(); }
+ static constexpr absl::int128 (max)() { return absl::Int128Max(); }
+ static constexpr absl::int128 epsilon() { return 0; }
+ static constexpr absl::int128 round_error() { return 0; }
+ static constexpr absl::int128 infinity() { return 0; }
+ static constexpr absl::int128 quiet_NaN() { return 0; }
+ static constexpr absl::int128 signaling_NaN() { return 0; }
+ static constexpr absl::int128 denorm_min() { return 0; }
+};
+} // namespace std
+
+// --------------------------------------------------------------------------
+// Implementation details follow
+// --------------------------------------------------------------------------
+namespace absl {
+ABSL_NAMESPACE_BEGIN
+
+constexpr uint128 MakeUint128(uint64_t high, uint64_t low) {
+ return uint128(high, low);
+}
+
+// Assignment from integer types.
+
+inline uint128& uint128::operator=(int v) { return *this = uint128(v); }
+
+inline uint128& uint128::operator=(unsigned int v) {
+ return *this = uint128(v);
+}
+
+inline uint128& uint128::operator=(long v) { // NOLINT(runtime/int)
+ return *this = uint128(v);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+inline uint128& uint128::operator=(unsigned long v) {
+ return *this = uint128(v);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+inline uint128& uint128::operator=(long long v) {
+ return *this = uint128(v);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+inline uint128& uint128::operator=(unsigned long long v) {
+ return *this = uint128(v);
+}
+
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+inline uint128& uint128::operator=(__int128 v) {
+ return *this = uint128(v);
+}
+
+inline uint128& uint128::operator=(unsigned __int128 v) {
+ return *this = uint128(v);
+}
+#endif // ABSL_HAVE_INTRINSIC_INT128
+
+inline uint128& uint128::operator=(int128 v) {
+ return *this = uint128(v);
+}
+
+// Arithmetic operators.
+
+uint128 operator<<(uint128 lhs, int amount);
+uint128 operator>>(uint128 lhs, int amount);
+uint128 operator+(uint128 lhs, uint128 rhs);
+uint128 operator-(uint128 lhs, uint128 rhs);
+uint128 operator*(uint128 lhs, uint128 rhs);
+uint128 operator/(uint128 lhs, uint128 rhs);
+uint128 operator%(uint128 lhs, uint128 rhs);
+
+inline uint128& uint128::operator<<=(int amount) {
+ *this = *this << amount;
+ return *this;
+}
+
+inline uint128& uint128::operator>>=(int amount) {
+ *this = *this >> amount;
+ return *this;
+}
+
+inline uint128& uint128::operator+=(uint128 other) {
+ *this = *this + other;
+ return *this;
+}
+
+inline uint128& uint128::operator-=(uint128 other) {
+ *this = *this - other;
+ return *this;
+}
+
+inline uint128& uint128::operator*=(uint128 other) {
+ *this = *this * other;
+ return *this;
+}
+
+inline uint128& uint128::operator/=(uint128 other) {
+ *this = *this / other;
+ return *this;
+}
+
+inline uint128& uint128::operator%=(uint128 other) {
+ *this = *this % other;
+ return *this;
+}
+
+constexpr uint64_t Uint128Low64(uint128 v) { return v.lo_; }
+
+constexpr uint64_t Uint128High64(uint128 v) { return v.hi_; }
+
+// Constructors from integer types.
+
+#if defined(ABSL_IS_LITTLE_ENDIAN)
+
+constexpr uint128::uint128(uint64_t high, uint64_t low)
+ : lo_{low}, hi_{high} {}
+
+constexpr uint128::uint128(int v)
+ : lo_{static_cast<uint64_t>(v)},
+ hi_{v < 0 ? (std::numeric_limits<uint64_t>::max)() : 0} {}
+constexpr uint128::uint128(long v) // NOLINT(runtime/int)
+ : lo_{static_cast<uint64_t>(v)},
+ hi_{v < 0 ? (std::numeric_limits<uint64_t>::max)() : 0} {}
+constexpr uint128::uint128(long long v) // NOLINT(runtime/int)
+ : lo_{static_cast<uint64_t>(v)},
+ hi_{v < 0 ? (std::numeric_limits<uint64_t>::max)() : 0} {}
+
+constexpr uint128::uint128(unsigned int v) : lo_{v}, hi_{0} {}
+// NOLINTNEXTLINE(runtime/int)
+constexpr uint128::uint128(unsigned long v) : lo_{v}, hi_{0} {}
+// NOLINTNEXTLINE(runtime/int)
+constexpr uint128::uint128(unsigned long long v) : lo_{v}, hi_{0} {}
+
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+constexpr uint128::uint128(__int128 v)
+ : lo_{static_cast<uint64_t>(v & ~uint64_t{0})},
+ hi_{static_cast<uint64_t>(static_cast<unsigned __int128>(v) >> 64)} {}
+constexpr uint128::uint128(unsigned __int128 v)
+ : lo_{static_cast<uint64_t>(v & ~uint64_t{0})},
+ hi_{static_cast<uint64_t>(v >> 64)} {}
+#endif // ABSL_HAVE_INTRINSIC_INT128
+
+constexpr uint128::uint128(int128 v)
+ : lo_{Int128Low64(v)}, hi_{static_cast<uint64_t>(Int128High64(v))} {}
+
+#elif defined(ABSL_IS_BIG_ENDIAN)
+
+constexpr uint128::uint128(uint64_t high, uint64_t low)
+ : hi_{high}, lo_{low} {}
+
+constexpr uint128::uint128(int v)
+ : hi_{v < 0 ? (std::numeric_limits<uint64_t>::max)() : 0},
+ lo_{static_cast<uint64_t>(v)} {}
+constexpr uint128::uint128(long v) // NOLINT(runtime/int)
+ : hi_{v < 0 ? (std::numeric_limits<uint64_t>::max)() : 0},
+ lo_{static_cast<uint64_t>(v)} {}
+constexpr uint128::uint128(long long v) // NOLINT(runtime/int)
+ : hi_{v < 0 ? (std::numeric_limits<uint64_t>::max)() : 0},
+ lo_{static_cast<uint64_t>(v)} {}
+
+constexpr uint128::uint128(unsigned int v) : hi_{0}, lo_{v} {}
+// NOLINTNEXTLINE(runtime/int)
+constexpr uint128::uint128(unsigned long v) : hi_{0}, lo_{v} {}
+// NOLINTNEXTLINE(runtime/int)
+constexpr uint128::uint128(unsigned long long v) : hi_{0}, lo_{v} {}
+
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+constexpr uint128::uint128(__int128 v)
+ : hi_{static_cast<uint64_t>(static_cast<unsigned __int128>(v) >> 64)},
+ lo_{static_cast<uint64_t>(v & ~uint64_t{0})} {}
+constexpr uint128::uint128(unsigned __int128 v)
+ : hi_{static_cast<uint64_t>(v >> 64)},
+ lo_{static_cast<uint64_t>(v & ~uint64_t{0})} {}
+#endif // ABSL_HAVE_INTRINSIC_INT128
+
+constexpr uint128::uint128(int128 v)
+ : hi_{static_cast<uint64_t>(Int128High64(v))}, lo_{Int128Low64(v)} {}
+
+#else // byte order
+#error "Unsupported byte order: must be little-endian or big-endian."
+#endif // byte order
+
+// Conversion operators to integer types.
+
+constexpr uint128::operator bool() const { return lo_ || hi_; }
+
+constexpr uint128::operator char() const { return static_cast<char>(lo_); }
+
+constexpr uint128::operator signed char() const {
+ return static_cast<signed char>(lo_);
+}
+
+constexpr uint128::operator unsigned char() const {
+ return static_cast<unsigned char>(lo_);
+}
+
+constexpr uint128::operator char16_t() const {
+ return static_cast<char16_t>(lo_);
+}
+
+constexpr uint128::operator char32_t() const {
+ return static_cast<char32_t>(lo_);
+}
+
+constexpr uint128::operator ABSL_INTERNAL_WCHAR_T() const {
+ return static_cast<ABSL_INTERNAL_WCHAR_T>(lo_);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+constexpr uint128::operator short() const { return static_cast<short>(lo_); }
+
+constexpr uint128::operator unsigned short() const { // NOLINT(runtime/int)
+ return static_cast<unsigned short>(lo_); // NOLINT(runtime/int)
+}
+
+constexpr uint128::operator int() const { return static_cast<int>(lo_); }
+
+constexpr uint128::operator unsigned int() const {
+ return static_cast<unsigned int>(lo_);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+constexpr uint128::operator long() const { return static_cast<long>(lo_); }
+
+constexpr uint128::operator unsigned long() const { // NOLINT(runtime/int)
+ return static_cast<unsigned long>(lo_); // NOLINT(runtime/int)
+}
+
+constexpr uint128::operator long long() const { // NOLINT(runtime/int)
+ return static_cast<long long>(lo_); // NOLINT(runtime/int)
+}
+
+constexpr uint128::operator unsigned long long() const { // NOLINT(runtime/int)
+ return static_cast<unsigned long long>(lo_); // NOLINT(runtime/int)
+}
+
+#ifdef ABSL_HAVE_INTRINSIC_INT128
+constexpr uint128::operator __int128() const {
+ return (static_cast<__int128>(hi_) << 64) + lo_;
+}
+
+constexpr uint128::operator unsigned __int128() const {
+ return (static_cast<unsigned __int128>(hi_) << 64) + lo_;
+}
+#endif // ABSL_HAVE_INTRINSIC_INT128
+
+// Conversion operators to floating point types.
+
+inline uint128::operator float() const {
+ return static_cast<float>(lo_) + std::ldexp(static_cast<float>(hi_), 64);
+}
+
+inline uint128::operator double() const {
+ return static_cast<double>(lo_) + std::ldexp(static_cast<double>(hi_), 64);
+}
+
+inline uint128::operator long double() const {
+ return static_cast<long double>(lo_) +
+ std::ldexp(static_cast<long double>(hi_), 64);
+}
+
+// Comparison operators.
+
+inline bool operator==(uint128 lhs, uint128 rhs) {
+ return (Uint128Low64(lhs) == Uint128Low64(rhs) &&
+ Uint128High64(lhs) == Uint128High64(rhs));
+}
+
+inline bool operator!=(uint128 lhs, uint128 rhs) {
+ return !(lhs == rhs);
+}
+
+inline bool operator<(uint128 lhs, uint128 rhs) {
+ return (Uint128High64(lhs) == Uint128High64(rhs))
+ ? (Uint128Low64(lhs) < Uint128Low64(rhs))
+ : (Uint128High64(lhs) < Uint128High64(rhs));
+}
+
+inline bool operator>(uint128 lhs, uint128 rhs) {
+ return (Uint128High64(lhs) == Uint128High64(rhs))
+ ? (Uint128Low64(lhs) > Uint128Low64(rhs))
+ : (Uint128High64(lhs) > Uint128High64(rhs));
+}
+
+inline bool operator<=(uint128 lhs, uint128 rhs) {
+ return (Uint128High64(lhs) == Uint128High64(rhs))
+ ? (Uint128Low64(lhs) <= Uint128Low64(rhs))
+ : (Uint128High64(lhs) <= Uint128High64(rhs));
+}
+
+inline bool operator>=(uint128 lhs, uint128 rhs) {
+ return (Uint128High64(lhs) == Uint128High64(rhs))
+ ? (Uint128Low64(lhs) >= Uint128Low64(rhs))
+ : (Uint128High64(lhs) >= Uint128High64(rhs));
+}
+
+// Unary operators.
+
+inline uint128 operator-(uint128 val) {
+ uint64_t hi = ~Uint128High64(val);
+ uint64_t lo = ~Uint128Low64(val) + 1;
+ if (lo == 0) ++hi; // carry
+ return MakeUint128(hi, lo);
+}
+
+inline bool operator!(uint128 val) {
+ return !Uint128High64(val) && !Uint128Low64(val);
+}
+
+// Logical operators.
+
+inline uint128 operator~(uint128 val) {
+ return MakeUint128(~Uint128High64(val), ~Uint128Low64(val));
+}
+
+inline uint128 operator|(uint128 lhs, uint128 rhs) {
+ return MakeUint128(Uint128High64(lhs) | Uint128High64(rhs),
+ Uint128Low64(lhs) | Uint128Low64(rhs));
+}
+
+inline uint128 operator&(uint128 lhs, uint128 rhs) {
+ return MakeUint128(Uint128High64(lhs) & Uint128High64(rhs),
+ Uint128Low64(lhs) & Uint128Low64(rhs));
+}
+
+inline uint128 operator^(uint128 lhs, uint128 rhs) {
+ return MakeUint128(Uint128High64(lhs) ^ Uint128High64(rhs),
+ Uint128Low64(lhs) ^ Uint128Low64(rhs));
+}
+
+inline uint128& uint128::operator|=(uint128 other) {
+ hi_ |= other.hi_;
+ lo_ |= other.lo_;
+ return *this;
+}
+
+inline uint128& uint128::operator&=(uint128 other) {
+ hi_ &= other.hi_;
+ lo_ &= other.lo_;
+ return *this;
+}
+
+inline uint128& uint128::operator^=(uint128 other) {
+ hi_ ^= other.hi_;
+ lo_ ^= other.lo_;
+ return *this;
+}
+
+// Arithmetic operators.
+
+inline uint128 operator<<(uint128 lhs, int amount) {
+ // uint64_t shifts of >= 64 are undefined, so we will need some
+ // special-casing.
+ if (amount < 64) {
+ if (amount != 0) {
+ return MakeUint128(
+ (Uint128High64(lhs) << amount) | (Uint128Low64(lhs) >> (64 - amount)),
+ Uint128Low64(lhs) << amount);
+ }
+ return lhs;
+ }
+ return MakeUint128(Uint128Low64(lhs) << (amount - 64), 0);
+}
+
+inline uint128 operator>>(uint128 lhs, int amount) {
+ // uint64_t shifts of >= 64 are undefined, so we will need some
+ // special-casing.
+ if (amount < 64) {
+ if (amount != 0) {
+ return MakeUint128(Uint128High64(lhs) >> amount,
+ (Uint128Low64(lhs) >> amount) |
+ (Uint128High64(lhs) << (64 - amount)));
+ }
+ return lhs;
+ }
+ return MakeUint128(0, Uint128High64(lhs) >> (amount - 64));
+}
+
+inline uint128 operator+(uint128 lhs, uint128 rhs) {
+ uint128 result = MakeUint128(Uint128High64(lhs) + Uint128High64(rhs),
+ Uint128Low64(lhs) + Uint128Low64(rhs));
+ if (Uint128Low64(result) < Uint128Low64(lhs)) { // check for carry
+ return MakeUint128(Uint128High64(result) + 1, Uint128Low64(result));
+ }
+ return result;
+}
+
+inline uint128 operator-(uint128 lhs, uint128 rhs) {
+ uint128 result = MakeUint128(Uint128High64(lhs) - Uint128High64(rhs),
+ Uint128Low64(lhs) - Uint128Low64(rhs));
+ if (Uint128Low64(lhs) < Uint128Low64(rhs)) { // check for carry
+ return MakeUint128(Uint128High64(result) - 1, Uint128Low64(result));
+ }
+ return result;
+}
+
+inline uint128 operator*(uint128 lhs, uint128 rhs) {
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+ // TODO(strel) Remove once alignment issues are resolved and unsigned __int128
+ // can be used for uint128 storage.
+ return static_cast<unsigned __int128>(lhs) *
+ static_cast<unsigned __int128>(rhs);
+#elif defined(_MSC_VER) && defined(_M_X64)
+ uint64_t carry;
+ uint64_t low = _umul128(Uint128Low64(lhs), Uint128Low64(rhs), &carry);
+ return MakeUint128(Uint128Low64(lhs) * Uint128High64(rhs) +
+ Uint128High64(lhs) * Uint128Low64(rhs) + carry,
+ low);
+#else // ABSL_HAVE_INTRINSIC128
+ uint64_t a32 = Uint128Low64(lhs) >> 32;
+ uint64_t a00 = Uint128Low64(lhs) & 0xffffffff;
+ uint64_t b32 = Uint128Low64(rhs) >> 32;
+ uint64_t b00 = Uint128Low64(rhs) & 0xffffffff;
+ uint128 result =
+ MakeUint128(Uint128High64(lhs) * Uint128Low64(rhs) +
+ Uint128Low64(lhs) * Uint128High64(rhs) + a32 * b32,
+ a00 * b00);
+ result += uint128(a32 * b00) << 32;
+ result += uint128(a00 * b32) << 32;
+ return result;
+#endif // ABSL_HAVE_INTRINSIC128
+}
+
+// Increment/decrement operators.
+
+inline uint128 uint128::operator++(int) {
+ uint128 tmp(*this);
+ *this += 1;
+ return tmp;
+}
+
+inline uint128 uint128::operator--(int) {
+ uint128 tmp(*this);
+ *this -= 1;
+ return tmp;
+}
+
+inline uint128& uint128::operator++() {
+ *this += 1;
+ return *this;
+}
+
+inline uint128& uint128::operator--() {
+ *this -= 1;
+ return *this;
+}
+
+constexpr int128 MakeInt128(int64_t high, uint64_t low) {
+ return int128(high, low);
+}
+
+// Assignment from integer types.
+inline int128& int128::operator=(int v) {
+ return *this = int128(v);
+}
+
+inline int128& int128::operator=(unsigned int v) {
+ return *this = int128(v);
+}
+
+inline int128& int128::operator=(long v) { // NOLINT(runtime/int)
+ return *this = int128(v);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+inline int128& int128::operator=(unsigned long v) {
+ return *this = int128(v);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+inline int128& int128::operator=(long long v) {
+ return *this = int128(v);
+}
+
+// NOLINTNEXTLINE(runtime/int)
+inline int128& int128::operator=(unsigned long long v) {
+ return *this = int128(v);
+}
+
+// Arithmetic operators.
+
+int128 operator+(int128 lhs, int128 rhs);
+int128 operator-(int128 lhs, int128 rhs);
+int128 operator*(int128 lhs, int128 rhs);
+int128 operator/(int128 lhs, int128 rhs);
+int128 operator%(int128 lhs, int128 rhs);
+int128 operator|(int128 lhs, int128 rhs);
+int128 operator&(int128 lhs, int128 rhs);
+int128 operator^(int128 lhs, int128 rhs);
+int128 operator<<(int128 lhs, int amount);
+int128 operator>>(int128 lhs, int amount);
+
+inline int128& int128::operator+=(int128 other) {
+ *this = *this + other;
+ return *this;
+}
+
+inline int128& int128::operator-=(int128 other) {
+ *this = *this - other;
+ return *this;
+}
+
+inline int128& int128::operator*=(int128 other) {
+ *this = *this * other;
+ return *this;
+}
+
+inline int128& int128::operator/=(int128 other) {
+ *this = *this / other;
+ return *this;
+}
+
+inline int128& int128::operator%=(int128 other) {
+ *this = *this % other;
+ return *this;
+}
+
+inline int128& int128::operator|=(int128 other) {
+ *this = *this | other;
+ return *this;
+}
+
+inline int128& int128::operator&=(int128 other) {
+ *this = *this & other;
+ return *this;
+}
+
+inline int128& int128::operator^=(int128 other) {
+ *this = *this ^ other;
+ return *this;
+}
+
+inline int128& int128::operator<<=(int amount) {
+ *this = *this << amount;
+ return *this;
+}
+
+inline int128& int128::operator>>=(int amount) {
+ *this = *this >> amount;
+ return *this;
+}
+
+namespace int128_internal {
+
+// Casts from unsigned to signed while preserving the underlying binary
+// representation.
+constexpr int64_t BitCastToSigned(uint64_t 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, GCC, and
+ // MSVC optimize this to a no-op on x86-64.
+ return v & (uint64_t{1} << 63) ? ~static_cast<int64_t>(~v)
+ : static_cast<int64_t>(v);
+}
+
+} // namespace int128_internal
+
+#if defined(ABSL_HAVE_INTRINSIC_INT128)
+#include "absl/numeric/int128_have_intrinsic.inc" // IWYU pragma: export
+#else // ABSL_HAVE_INTRINSIC_INT128
+#include "absl/numeric/int128_no_intrinsic.inc" // IWYU pragma: export
+#endif // ABSL_HAVE_INTRINSIC_INT128
+
+ABSL_NAMESPACE_END
+} // namespace absl
+
+#undef ABSL_INTERNAL_WCHAR_T
+
+#endif // ABSL_NUMERIC_INT128_H_