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// This file is based on the uint128 implementation of protobuf at
// https://github.com/protocolbuffers/protobuf/blob/1e88936fce10cf773cb72b44c6a7f48b38c7578b/src/google/protobuf/stubs/int128.h
//
// Protocol Buffers - Google's data interchange format
// Copyright 2008 Google Inc. All rights reserved.
// https://developers.google.com/protocol-buffers/
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
// * Redistributions in binary form must reproduce the above
// copyright notice, this list of conditions and the following disclaimer
// in the documentation and/or other materials provided with the
// distribution.
// * Neither the name of Google Inc. nor the names of its
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
#pragma once
#include <c10/macros/Export.h>
#include <iosfwd>
namespace c10 {
struct uint128_pod;
// TODO(xiaofeng): Define GOOGLE_PROTOBUF_HAS_CONSTEXPR when constexpr is
// available.
#ifdef GOOGLE_PROTOBUF_HAS_CONSTEXPR
#define UINT128_CONSTEXPR constexpr
#else
#define UINT128_CONSTEXPR
#endif
class uint128;
static inline uint128& operator<<=(uint128& self, int amount);
// An unsigned 128-bit integer type. Thread-compatible.
class C10_API uint128 {
public:
UINT128_CONSTEXPR uint128(); // Sets to 0, but don't trust on this behavior.
UINT128_CONSTEXPR uint128(uint64_t top, uint64_t bottom);
#ifndef SWIG
UINT128_CONSTEXPR uint128(int bottom);
UINT128_CONSTEXPR uint128(uint32_t bottom); // Top 96 bits = 0
#endif
UINT128_CONSTEXPR uint128(uint64_t bottom); // hi_ = 0
UINT128_CONSTEXPR uint128(const uint128_pod& val);
// Trivial copy constructor, assignment operator and destructor.
void Initialize(uint64_t top, uint64_t bottom);
// Arithmetic operators.
uint128& operator+=(const uint128& b);
uint128& operator-=(const uint128& b);
uint128& operator*=(const uint128& b);
// Long division/modulo for uint128.
uint128& operator/=(const uint128& b);
uint128& operator%=(const uint128& b);
uint128 operator++(int);
uint128 operator--(int);
// Make msvc happy with using operator<<= from DivModImpl
// which is a static function, and linker complained about missing
// static version of this overload
friend uint128& operator<<=(uint128&, int);
uint128& operator>>=(int);
uint128& operator&=(const uint128& b);
uint128& operator|=(const uint128& b);
uint128& operator^=(const uint128& b);
uint128& operator++();
uint128& operator--();
friend uint64_t Uint128Low64(const uint128& v);
friend uint64_t Uint128High64(const uint128& v);
// We add "std::" to avoid including all of port.h.
C10_API friend std::ostream& operator<<(std::ostream& o, const uint128& b);
private:
static void DivModImpl(
uint128 dividend,
uint128 divisor,
uint128* quotient_ret,
uint128* remainder_ret);
// Little-endian memory order optimizations can benefit from
// having lo_ first, hi_ last.
// See util/endian/endian.h and Load128/Store128 for storing a uint128.
uint64_t lo_;
uint64_t hi_;
// Not implemented, just declared for catching automatic type conversions.
uint128(uint8_t);
uint128(uint16_t);
uint128(float v);
uint128(double v);
};
// This is a POD form of uint128 which can be used for static variables which
// need to be operated on as uint128.
struct uint128_pod {
// Note: The ordering of fields is different than 'class uint128' but the
// same as its 2-arg constructor. This enables more obvious initialization
// of static instances, which is the primary reason for this struct in the
// first place. This does not seem to defeat any optimizations wrt
// operations involving this struct.
uint64_t hi;
uint64_t lo;
};
C10_API extern const uint128_pod kuint128max;
// allow uint128 to be logged
C10_API extern std::ostream& operator<<(std::ostream& o, const uint128& b);
// Methods to access low and high pieces of 128-bit value.
// Defined externally from uint128 to facilitate conversion
// to native 128-bit types when compilers support them.
inline uint64_t Uint128Low64(const uint128& v) {
return v.lo_;
}
inline uint64_t Uint128High64(const uint128& v) {
return v.hi_;
}
// TODO: perhaps it would be nice to have int128, a signed 128-bit type?
// --------------------------------------------------------------------------
// Implementation details follow
// --------------------------------------------------------------------------
inline bool operator==(const uint128& lhs, const uint128& rhs) {
return (
Uint128Low64(lhs) == Uint128Low64(rhs) &&
Uint128High64(lhs) == Uint128High64(rhs));
}
inline bool operator!=(const uint128& lhs, const uint128& rhs) {
return !(lhs == rhs);
}
C10_API inline UINT128_CONSTEXPR uint128::uint128() : lo_(0), hi_(0) {}
C10_API inline UINT128_CONSTEXPR uint128::uint128(uint64_t top, uint64_t bottom)
: lo_(bottom), hi_(top) {}
C10_API inline UINT128_CONSTEXPR uint128::uint128(const uint128_pod& v)
: lo_(v.lo), hi_(v.hi) {}
C10_API inline UINT128_CONSTEXPR uint128::uint128(uint64_t bottom)
: lo_(bottom), hi_(0) {}
#ifndef SWIG
C10_API inline UINT128_CONSTEXPR uint128::uint128(uint32_t bottom)
: lo_(bottom), hi_(0) {}
C10_API inline UINT128_CONSTEXPR uint128::uint128(int bottom)
: lo_(bottom), hi_(static_cast<int64_t>((bottom < 0) ? -1 : 0)) {}
#endif
#undef UINT128_CONSTEXPR
C10_API inline void uint128::Initialize(uint64_t top, uint64_t bottom) {
hi_ = top;
lo_ = bottom;
}
// Comparison operators.
#define CMP128(op) \
inline bool operator op(const uint128& lhs, const uint128& rhs) { \
return (Uint128High64(lhs) == Uint128High64(rhs)) \
? (Uint128Low64(lhs) op Uint128Low64(rhs)) \
: (Uint128High64(lhs) op Uint128High64(rhs)); \
}
CMP128(<)
CMP128(>)
CMP128(>=)
CMP128(<=)
#undef CMP128
// Unary operators
inline uint128 operator-(const uint128& val) {
const uint64_t hi_flip = ~Uint128High64(val);
const uint64_t lo_flip = ~Uint128Low64(val);
const uint64_t lo_add = lo_flip + 1;
if (lo_add < lo_flip) {
return uint128(hi_flip + 1, lo_add);
}
return uint128(hi_flip, lo_add);
}
inline bool operator!(const uint128& val) {
return !Uint128High64(val) && !Uint128Low64(val);
}
// Logical operators.
inline uint128 operator~(const uint128& val) {
return uint128(~Uint128High64(val), ~Uint128Low64(val));
}
#define LOGIC128(op) \
inline uint128 operator op(const uint128& lhs, const uint128& rhs) { \
return uint128( \
Uint128High64(lhs) op Uint128High64(rhs), \
Uint128Low64(lhs) op Uint128Low64(rhs)); \
}
LOGIC128(|)
LOGIC128(&)
LOGIC128(^)
#undef LOGIC128
#define LOGICASSIGN128(op) \
C10_API inline uint128& uint128::operator op(const uint128& other) { \
hi_ op other.hi_; \
lo_ op other.lo_; \
return *this; \
}
LOGICASSIGN128(|=)
LOGICASSIGN128(&=)
LOGICASSIGN128(^=)
#undef LOGICASSIGN128
// Shift operators.
inline uint128 operator<<(const uint128& val, int amount) {
// uint64_t shifts of >= 64 are undefined, so we will need some
// special-casing.
if (amount < 64) {
if (amount == 0) {
return val;
}
uint64_t new_hi =
(Uint128High64(val) << amount) | (Uint128Low64(val) >> (64 - amount));
uint64_t new_lo = Uint128Low64(val) << amount;
return uint128(new_hi, new_lo);
} else if (amount < 128) {
return uint128(Uint128Low64(val) << (amount - 64), 0);
} else {
return uint128(0, 0);
}
}
inline uint128 operator>>(const uint128& val, int amount) {
// uint64_t shifts of >= 64 are undefined, so we will need some
// special-casing.
if (amount < 64) {
if (amount == 0) {
return val;
}
uint64_t new_hi = Uint128High64(val) >> amount;
uint64_t new_lo =
(Uint128Low64(val) >> amount) | (Uint128High64(val) << (64 - amount));
return uint128(new_hi, new_lo);
} else if (amount < 128) {
return uint128(0, Uint128High64(val) >> (amount - 64));
} else {
return uint128(0, 0);
}
}
static inline uint128& operator<<=(uint128& self, int amount) {
// uint64_t shifts of >= 64 are undefined, so we will need some
// special-casing.
if (amount < 64) {
if (amount != 0) {
self.hi_ = (self.hi_ << amount) | (self.lo_ >> (64 - amount));
self.lo_ = self.lo_ << amount;
}
} else if (amount < 128) {
self.hi_ = self.lo_ << (amount - 64);
self.lo_ = 0;
} else {
self.hi_ = 0;
self.lo_ = 0;
}
return self;
}
C10_API inline uint128& uint128::operator>>=(int amount) {
// uint64_t shifts of >= 64 are undefined, so we will need some
// special-casing.
if (amount < 64) {
if (amount != 0) {
lo_ = (lo_ >> amount) | (hi_ << (64 - amount));
hi_ = hi_ >> amount;
}
} else if (amount < 128) {
lo_ = hi_ >> (amount - 64);
hi_ = 0;
} else {
lo_ = 0;
hi_ = 0;
}
return *this;
}
inline uint128 operator+(const uint128& lhs, const uint128& rhs) {
return uint128(lhs) += rhs;
}
inline uint128 operator-(const uint128& lhs, const uint128& rhs) {
return uint128(lhs) -= rhs;
}
inline uint128 operator*(const uint128& lhs, const uint128& rhs) {
return uint128(lhs) *= rhs;
}
inline uint128 operator/(const uint128& lhs, const uint128& rhs) {
return uint128(lhs) /= rhs;
}
inline uint128 operator%(const uint128& lhs, const uint128& rhs) {
return uint128(lhs) %= rhs;
}
C10_API inline uint128& uint128::operator+=(const uint128& b) {
hi_ += b.hi_;
uint64_t lolo = lo_ + b.lo_;
if (lolo < lo_)
++hi_;
lo_ = lolo;
return *this;
}
C10_API inline uint128& uint128::operator-=(const uint128& b) {
hi_ -= b.hi_;
if (b.lo_ > lo_)
--hi_;
lo_ -= b.lo_;
return *this;
}
C10_API inline uint128& uint128::operator*=(const uint128& b) {
uint64_t a96 = hi_ >> 32;
uint64_t a64 = hi_ & 0xffffffffu;
uint64_t a32 = lo_ >> 32;
uint64_t a00 = lo_ & 0xffffffffu;
uint64_t b96 = b.hi_ >> 32;
uint64_t b64 = b.hi_ & 0xffffffffu;
uint64_t b32 = b.lo_ >> 32;
uint64_t b00 = b.lo_ & 0xffffffffu;
// multiply [a96 .. a00] x [b96 .. b00]
// terms higher than c96 disappear off the high side
// terms c96 and c64 are safe to ignore carry bit
uint64_t c96 = a96 * b00 + a64 * b32 + a32 * b64 + a00 * b96;
uint64_t c64 = a64 * b00 + a32 * b32 + a00 * b64;
this->hi_ = (c96 << 32) + c64;
this->lo_ = 0;
// add terms after this one at a time to capture carry
*this += uint128(a32 * b00) << 32;
*this += uint128(a00 * b32) << 32;
*this += a00 * b00;
return *this;
}
C10_API inline uint128 uint128::operator++(int) {
uint128 tmp(*this);
*this += 1;
return tmp;
}
C10_API inline uint128 uint128::operator--(int) {
uint128 tmp(*this);
*this -= 1;
return tmp;
}
C10_API inline uint128& uint128::operator++() {
*this += 1;
return *this;
}
C10_API inline uint128& uint128::operator--() {
*this -= 1;
return *this;
}
} // namespace c10
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