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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) {
- #ifdef ABSL_HAVE_INTRINSIC_INT128
- return static_cast<unsigned __int128>(lhs) <
- static_cast<unsigned __int128>(rhs);
- #else
- return (Uint128High64(lhs) == Uint128High64(rhs))
- ? (Uint128Low64(lhs) < Uint128Low64(rhs))
- : (Uint128High64(lhs) < Uint128High64(rhs));
- #endif
- }
- inline bool operator>(uint128 lhs, uint128 rhs) { return rhs < lhs; }
- inline bool operator<=(uint128 lhs, uint128 rhs) { return !(rhs < lhs); }
- inline bool operator>=(uint128 lhs, uint128 rhs) { return !(lhs < 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) {
- #ifdef ABSL_HAVE_INTRINSIC_INT128
- return static_cast<unsigned __int128>(lhs) << amount;
- #else
- // 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);
- #endif
- }
- inline uint128 operator>>(uint128 lhs, int amount) {
- #ifdef ABSL_HAVE_INTRINSIC_INT128
- return static_cast<unsigned __int128>(lhs) >> amount;
- #else
- // 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));
- #endif
- }
- 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_
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