// Copyright (c) 2012 The Chromium Authors. All rights reserved. // Use of this source code is governed by a BSD-style license that can be // found in the LICENSE file. #ifndef NET_BASE_INT128_H_ #define NET_BASE_INT128_H_ #include #include #include "net/base/net_export.h" namespace net { struct uint128_pod; // An unsigned 128-bit integer type. Thread-compatible. class uint128 { public: uint128(); // Sets to 0, but don't trust on this behavior. uint128(uint64_t top, uint64_t bottom); uint128(int bottom); uint128(uint32_t bottom); // Top 96 bits = 0 uint128(uint64_t bottom); // hi_ = 0 uint128(const uint128 &val); uint128(const uint128_pod &val); void Initialize(uint64_t top, uint64_t bottom); uint128& operator=(const uint128& b); // Arithmetic operators. // TODO: division, etc. uint128& operator+=(const uint128& b); uint128& operator-=(const uint128& b); uint128& operator*=(const uint128& b); uint128 operator++(int); uint128 operator--(int); uint128& operator<<=(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. friend NET_EXPORT_PRIVATE std::ostream& operator<<(std::ostream& o, const uint128& b); private: // 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); }; inline uint128 MakeUint128(uint64_t top, uint64_t bottom) { return uint128(top, bottom); } // 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; }; NET_EXPORT_PRIVATE extern const uint128_pod kuint128max; // allow uint128 to be logged NET_EXPORT_PRIVATE 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); } inline uint128& uint128::operator=(const uint128& b) { lo_ = b.lo_; hi_ = b.hi_; return *this; } inline uint128::uint128(): lo_(0), hi_(0) { } inline uint128::uint128(uint64_t top, uint64_t bottom) : lo_(bottom), hi_(top) {} inline uint128::uint128(const uint128 &v) : lo_(v.lo_), hi_(v.hi_) { } inline uint128::uint128(const uint128_pod &v) : lo_(v.lo), hi_(v.hi) { } inline uint128::uint128(uint64_t bottom) : lo_(bottom), hi_(0) {} inline uint128::uint128(uint32_t bottom) : lo_(bottom), hi_(0) {} inline uint128::uint128(int bottom) : lo_(bottom), hi_(0) { if (bottom < 0) { --hi_; } } 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) \ 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); } } 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) { hi_ = (hi_ << amount) | (lo_ >> (64 - amount)); lo_ = lo_ << amount; } } else if (amount < 128) { hi_ = lo_ << (amount - 64); lo_ = 0; } else { hi_ = 0; lo_ = 0; } return *this; } 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) { hi_ = 0; lo_ = hi_ >> (amount - 64); } else { hi_ = 0; lo_ = 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& uint128::operator+=(const uint128& b) { hi_ += b.hi_; uint64_t lolo = lo_ + b.lo_; if (lolo < lo_) ++hi_; lo_ = lolo; return *this; } inline uint128& uint128::operator-=(const uint128& b) { hi_ -= b.hi_; if (b.lo_ > lo_) --hi_; lo_ -= b.lo_; return *this; } 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; } 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; } } // namespace net #endif // NET_BASE_INT128_H_