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| 1 // Copyright (c) 2012 The Chromium Authors. All rights reserved. | 1 // Copyright (c) 2012 The Chromium Authors. All rights reserved. |
| 2 // Use of this source code is governed by a BSD-style license that can be | 2 // Use of this source code is governed by a BSD-style license that can be |
| 3 // found in the LICENSE file. | 3 // found in the LICENSE file. |
| 4 | 4 |
| 5 #ifndef NET_BASE_INT128_H_ | 5 #ifndef NET_BASE_INT128_H_ |
| 6 #define NET_BASE_INT128_H_ | 6 #define NET_BASE_INT128_H_ |
| 7 | 7 |
| 8 #include <stdint.h> |
| 9 |
| 8 #include <iosfwd> | 10 #include <iosfwd> |
| 9 #include "base/basictypes.h" | 11 |
| 10 #include "net/base/net_export.h" | 12 #include "net/base/net_export.h" |
| 11 | 13 |
| 12 struct uint128_pod; | 14 struct uint128_pod; |
| 13 | 15 |
| 14 // An unsigned 128-bit integer type. Thread-compatible. | 16 // An unsigned 128-bit integer type. Thread-compatible. |
| 15 class uint128 { | 17 class uint128 { |
| 16 public: | 18 public: |
| 17 uint128(); // Sets to 0, but don't trust on this behavior. | 19 uint128(); // Sets to 0, but don't trust on this behavior. |
| 18 uint128(uint64 top, uint64 bottom); | 20 uint128(uint64_t top, uint64_t bottom); |
| 19 uint128(int bottom); | 21 uint128(int bottom); |
| 20 uint128(uint32 bottom); // Top 96 bits = 0 | 22 uint128(uint32_t bottom); // Top 96 bits = 0 |
| 21 uint128(uint64 bottom); // hi_ = 0 | 23 uint128(uint64_t bottom); // hi_ = 0 |
| 22 uint128(const uint128 &val); | 24 uint128(const uint128 &val); |
| 23 uint128(const uint128_pod &val); | 25 uint128(const uint128_pod &val); |
| 24 | 26 |
| 25 void Initialize(uint64 top, uint64 bottom); | 27 void Initialize(uint64_t top, uint64_t bottom); |
| 26 | 28 |
| 27 uint128& operator=(const uint128& b); | 29 uint128& operator=(const uint128& b); |
| 28 | 30 |
| 29 // Arithmetic operators. | 31 // Arithmetic operators. |
| 30 // TODO: division, etc. | 32 // TODO: division, etc. |
| 31 uint128& operator+=(const uint128& b); | 33 uint128& operator+=(const uint128& b); |
| 32 uint128& operator-=(const uint128& b); | 34 uint128& operator-=(const uint128& b); |
| 33 uint128& operator*=(const uint128& b); | 35 uint128& operator*=(const uint128& b); |
| 34 uint128 operator++(int); | 36 uint128 operator++(int); |
| 35 uint128 operator--(int); | 37 uint128 operator--(int); |
| 36 uint128& operator<<=(int); | 38 uint128& operator<<=(int); |
| 37 uint128& operator>>=(int); | 39 uint128& operator>>=(int); |
| 38 uint128& operator&=(const uint128& b); | 40 uint128& operator&=(const uint128& b); |
| 39 uint128& operator|=(const uint128& b); | 41 uint128& operator|=(const uint128& b); |
| 40 uint128& operator^=(const uint128& b); | 42 uint128& operator^=(const uint128& b); |
| 41 uint128& operator++(); | 43 uint128& operator++(); |
| 42 uint128& operator--(); | 44 uint128& operator--(); |
| 43 | 45 |
| 44 friend uint64 Uint128Low64(const uint128& v); | 46 friend uint64_t Uint128Low64(const uint128& v); |
| 45 friend uint64 Uint128High64(const uint128& v); | 47 friend uint64_t Uint128High64(const uint128& v); |
| 46 | 48 |
| 47 // We add "std::" to avoid including all of port.h. | 49 // We add "std::" to avoid including all of port.h. |
| 48 friend NET_EXPORT_PRIVATE std::ostream& operator<<(std::ostream& o, | 50 friend NET_EXPORT_PRIVATE std::ostream& operator<<(std::ostream& o, |
| 49 const uint128& b); | 51 const uint128& b); |
| 50 | 52 |
| 51 private: | 53 private: |
| 52 // Little-endian memory order optimizations can benefit from | 54 // Little-endian memory order optimizations can benefit from |
| 53 // having lo_ first, hi_ last. | 55 // having lo_ first, hi_ last. |
| 54 // See util/endian/endian.h and Load128/Store128 for storing a uint128. | 56 // See util/endian/endian.h and Load128/Store128 for storing a uint128. |
| 55 uint64 lo_; | 57 uint64_t lo_; |
| 56 uint64 hi_; | 58 uint64_t hi_; |
| 57 | 59 |
| 58 // Not implemented, just declared for catching automatic type conversions. | 60 // Not implemented, just declared for catching automatic type conversions. |
| 59 uint128(uint8); | 61 uint128(uint8_t); |
| 60 uint128(uint16); | 62 uint128(uint16_t); |
| 61 uint128(float v); | 63 uint128(float v); |
| 62 uint128(double v); | 64 uint128(double v); |
| 63 }; | 65 }; |
| 64 | 66 |
| 65 // This is a POD form of uint128 which can be used for static variables which | 67 // This is a POD form of uint128 which can be used for static variables which |
| 66 // need to be operated on as uint128. | 68 // need to be operated on as uint128. |
| 67 struct uint128_pod { | 69 struct uint128_pod { |
| 68 // Note: The ordering of fields is different than 'class uint128' but the | 70 // Note: The ordering of fields is different than 'class uint128' but the |
| 69 // same as its 2-arg constructor. This enables more obvious initialization | 71 // same as its 2-arg constructor. This enables more obvious initialization |
| 70 // of static instances, which is the primary reason for this struct in the | 72 // of static instances, which is the primary reason for this struct in the |
| 71 // first place. This does not seem to defeat any optimizations wrt | 73 // first place. This does not seem to defeat any optimizations wrt |
| 72 // operations involving this struct. | 74 // operations involving this struct. |
| 73 uint64 hi; | 75 uint64_t hi; |
| 74 uint64 lo; | 76 uint64_t lo; |
| 75 }; | 77 }; |
| 76 | 78 |
| 77 NET_EXPORT_PRIVATE extern const uint128_pod kuint128max; | 79 NET_EXPORT_PRIVATE extern const uint128_pod kuint128max; |
| 78 | 80 |
| 79 // allow uint128 to be logged | 81 // allow uint128 to be logged |
| 80 NET_EXPORT_PRIVATE extern std::ostream& operator<<(std::ostream& o, | 82 NET_EXPORT_PRIVATE extern std::ostream& operator<<(std::ostream& o, |
| 81 const uint128& b); | 83 const uint128& b); |
| 82 | 84 |
| 83 // Methods to access low and high pieces of 128-bit value. | 85 // Methods to access low and high pieces of 128-bit value. |
| 84 // Defined externally from uint128 to facilitate conversion | 86 // Defined externally from uint128 to facilitate conversion |
| 85 // to native 128-bit types when compilers support them. | 87 // to native 128-bit types when compilers support them. |
| 86 inline uint64 Uint128Low64(const uint128& v) { return v.lo_; } | 88 inline uint64_t Uint128Low64(const uint128& v) { |
| 87 inline uint64 Uint128High64(const uint128& v) { return v.hi_; } | 89 return v.lo_; |
| 90 } |
| 91 inline uint64_t Uint128High64(const uint128& v) { |
| 92 return v.hi_; |
| 93 } |
| 88 | 94 |
| 89 // TODO: perhaps it would be nice to have int128, a signed 128-bit type? | 95 // TODO: perhaps it would be nice to have int128, a signed 128-bit type? |
| 90 | 96 |
| 91 // -------------------------------------------------------------------------- | 97 // -------------------------------------------------------------------------- |
| 92 // Implementation details follow | 98 // Implementation details follow |
| 93 // -------------------------------------------------------------------------- | 99 // -------------------------------------------------------------------------- |
| 94 inline bool operator==(const uint128& lhs, const uint128& rhs) { | 100 inline bool operator==(const uint128& lhs, const uint128& rhs) { |
| 95 return (Uint128Low64(lhs) == Uint128Low64(rhs) && | 101 return (Uint128Low64(lhs) == Uint128Low64(rhs) && |
| 96 Uint128High64(lhs) == Uint128High64(rhs)); | 102 Uint128High64(lhs) == Uint128High64(rhs)); |
| 97 } | 103 } |
| 98 inline bool operator!=(const uint128& lhs, const uint128& rhs) { | 104 inline bool operator!=(const uint128& lhs, const uint128& rhs) { |
| 99 return !(lhs == rhs); | 105 return !(lhs == rhs); |
| 100 } | 106 } |
| 101 inline uint128& uint128::operator=(const uint128& b) { | 107 inline uint128& uint128::operator=(const uint128& b) { |
| 102 lo_ = b.lo_; | 108 lo_ = b.lo_; |
| 103 hi_ = b.hi_; | 109 hi_ = b.hi_; |
| 104 return *this; | 110 return *this; |
| 105 } | 111 } |
| 106 | 112 |
| 107 inline uint128::uint128(): lo_(0), hi_(0) { } | 113 inline uint128::uint128(): lo_(0), hi_(0) { } |
| 108 inline uint128::uint128(uint64 top, uint64 bottom) : lo_(bottom), hi_(top) { } | 114 inline uint128::uint128(uint64_t top, uint64_t bottom) |
| 115 : lo_(bottom), hi_(top) {} |
| 109 inline uint128::uint128(const uint128 &v) : lo_(v.lo_), hi_(v.hi_) { } | 116 inline uint128::uint128(const uint128 &v) : lo_(v.lo_), hi_(v.hi_) { } |
| 110 inline uint128::uint128(const uint128_pod &v) : lo_(v.lo), hi_(v.hi) { } | 117 inline uint128::uint128(const uint128_pod &v) : lo_(v.lo), hi_(v.hi) { } |
| 111 inline uint128::uint128(uint64 bottom) : lo_(bottom), hi_(0) { } | 118 inline uint128::uint128(uint64_t bottom) : lo_(bottom), hi_(0) {} |
| 112 inline uint128::uint128(uint32 bottom) : lo_(bottom), hi_(0) { } | 119 inline uint128::uint128(uint32_t bottom) : lo_(bottom), hi_(0) {} |
| 113 inline uint128::uint128(int bottom) : lo_(bottom), hi_(0) { | 120 inline uint128::uint128(int bottom) : lo_(bottom), hi_(0) { |
| 114 if (bottom < 0) { | 121 if (bottom < 0) { |
| 115 --hi_; | 122 --hi_; |
| 116 } | 123 } |
| 117 } | 124 } |
| 118 inline void uint128::Initialize(uint64 top, uint64 bottom) { | 125 inline void uint128::Initialize(uint64_t top, uint64_t bottom) { |
| 119 hi_ = top; | 126 hi_ = top; |
| 120 lo_ = bottom; | 127 lo_ = bottom; |
| 121 } | 128 } |
| 122 | 129 |
| 123 // Comparison operators. | 130 // Comparison operators. |
| 124 | 131 |
| 125 #define CMP128(op) \ | 132 #define CMP128(op) \ |
| 126 inline bool operator op(const uint128& lhs, const uint128& rhs) { \ | 133 inline bool operator op(const uint128& lhs, const uint128& rhs) { \ |
| 127 return (Uint128High64(lhs) == Uint128High64(rhs)) ? \ | 134 return (Uint128High64(lhs) == Uint128High64(rhs)) ? \ |
| 128 (Uint128Low64(lhs) op Uint128Low64(rhs)) : \ | 135 (Uint128Low64(lhs) op Uint128Low64(rhs)) : \ |
| 129 (Uint128High64(lhs) op Uint128High64(rhs)); \ | 136 (Uint128High64(lhs) op Uint128High64(rhs)); \ |
| 130 } | 137 } |
| 131 | 138 |
| 132 CMP128(<) | 139 CMP128(<) |
| 133 CMP128(>) | 140 CMP128(>) |
| 134 CMP128(>=) | 141 CMP128(>=) |
| 135 CMP128(<=) | 142 CMP128(<=) |
| 136 | 143 |
| 137 #undef CMP128 | 144 #undef CMP128 |
| 138 | 145 |
| 139 // Unary operators | 146 // Unary operators |
| 140 | 147 |
| 141 inline uint128 operator-(const uint128& val) { | 148 inline uint128 operator-(const uint128& val) { |
| 142 const uint64 hi_flip = ~Uint128High64(val); | 149 const uint64_t hi_flip = ~Uint128High64(val); |
| 143 const uint64 lo_flip = ~Uint128Low64(val); | 150 const uint64_t lo_flip = ~Uint128Low64(val); |
| 144 const uint64 lo_add = lo_flip + 1; | 151 const uint64_t lo_add = lo_flip + 1; |
| 145 if (lo_add < lo_flip) { | 152 if (lo_add < lo_flip) { |
| 146 return uint128(hi_flip + 1, lo_add); | 153 return uint128(hi_flip + 1, lo_add); |
| 147 } | 154 } |
| 148 return uint128(hi_flip, lo_add); | 155 return uint128(hi_flip, lo_add); |
| 149 } | 156 } |
| 150 | 157 |
| 151 inline bool operator!(const uint128& val) { | 158 inline bool operator!(const uint128& val) { |
| 152 return !Uint128High64(val) && !Uint128Low64(val); | 159 return !Uint128High64(val) && !Uint128Low64(val); |
| 153 } | 160 } |
| 154 | 161 |
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| 179 | 186 |
| 180 LOGICASSIGN128(|=) | 187 LOGICASSIGN128(|=) |
| 181 LOGICASSIGN128(&=) | 188 LOGICASSIGN128(&=) |
| 182 LOGICASSIGN128(^=) | 189 LOGICASSIGN128(^=) |
| 183 | 190 |
| 184 #undef LOGICASSIGN128 | 191 #undef LOGICASSIGN128 |
| 185 | 192 |
| 186 // Shift operators. | 193 // Shift operators. |
| 187 | 194 |
| 188 inline uint128 operator<<(const uint128& val, int amount) { | 195 inline uint128 operator<<(const uint128& val, int amount) { |
| 189 // uint64 shifts of >= 64 are undefined, so we will need some special-casing. | 196 // uint64_t shifts of >= 64 are undefined, so we will need some |
| 197 // special-casing. |
| 190 if (amount < 64) { | 198 if (amount < 64) { |
| 191 if (amount == 0) { | 199 if (amount == 0) { |
| 192 return val; | 200 return val; |
| 193 } | 201 } |
| 194 uint64 new_hi = (Uint128High64(val) << amount) | | 202 uint64_t new_hi = |
| 195 (Uint128Low64(val) >> (64 - amount)); | 203 (Uint128High64(val) << amount) | (Uint128Low64(val) >> (64 - amount)); |
| 196 uint64 new_lo = Uint128Low64(val) << amount; | 204 uint64_t new_lo = Uint128Low64(val) << amount; |
| 197 return uint128(new_hi, new_lo); | 205 return uint128(new_hi, new_lo); |
| 198 } else if (amount < 128) { | 206 } else if (amount < 128) { |
| 199 return uint128(Uint128Low64(val) << (amount - 64), 0); | 207 return uint128(Uint128Low64(val) << (amount - 64), 0); |
| 200 } else { | 208 } else { |
| 201 return uint128(0, 0); | 209 return uint128(0, 0); |
| 202 } | 210 } |
| 203 } | 211 } |
| 204 | 212 |
| 205 inline uint128 operator>>(const uint128& val, int amount) { | 213 inline uint128 operator>>(const uint128& val, int amount) { |
| 206 // uint64 shifts of >= 64 are undefined, so we will need some special-casing. | 214 // uint64_t shifts of >= 64 are undefined, so we will need some |
| 215 // special-casing. |
| 207 if (amount < 64) { | 216 if (amount < 64) { |
| 208 if (amount == 0) { | 217 if (amount == 0) { |
| 209 return val; | 218 return val; |
| 210 } | 219 } |
| 211 uint64 new_hi = Uint128High64(val) >> amount; | 220 uint64_t new_hi = Uint128High64(val) >> amount; |
| 212 uint64 new_lo = (Uint128Low64(val) >> amount) | | 221 uint64_t new_lo = |
| 213 (Uint128High64(val) << (64 - amount)); | 222 (Uint128Low64(val) >> amount) | (Uint128High64(val) << (64 - amount)); |
| 214 return uint128(new_hi, new_lo); | 223 return uint128(new_hi, new_lo); |
| 215 } else if (amount < 128) { | 224 } else if (amount < 128) { |
| 216 return uint128(0, Uint128High64(val) >> (amount - 64)); | 225 return uint128(0, Uint128High64(val) >> (amount - 64)); |
| 217 } else { | 226 } else { |
| 218 return uint128(0, 0); | 227 return uint128(0, 0); |
| 219 } | 228 } |
| 220 } | 229 } |
| 221 | 230 |
| 222 inline uint128& uint128::operator<<=(int amount) { | 231 inline uint128& uint128::operator<<=(int amount) { |
| 223 // uint64 shifts of >= 64 are undefined, so we will need some special-casing. | 232 // uint64_t shifts of >= 64 are undefined, so we will need some |
| 233 // special-casing. |
| 224 if (amount < 64) { | 234 if (amount < 64) { |
| 225 if (amount != 0) { | 235 if (amount != 0) { |
| 226 hi_ = (hi_ << amount) | (lo_ >> (64 - amount)); | 236 hi_ = (hi_ << amount) | (lo_ >> (64 - amount)); |
| 227 lo_ = lo_ << amount; | 237 lo_ = lo_ << amount; |
| 228 } | 238 } |
| 229 } else if (amount < 128) { | 239 } else if (amount < 128) { |
| 230 hi_ = lo_ << (amount - 64); | 240 hi_ = lo_ << (amount - 64); |
| 231 lo_ = 0; | 241 lo_ = 0; |
| 232 } else { | 242 } else { |
| 233 hi_ = 0; | 243 hi_ = 0; |
| 234 lo_ = 0; | 244 lo_ = 0; |
| 235 } | 245 } |
| 236 return *this; | 246 return *this; |
| 237 } | 247 } |
| 238 | 248 |
| 239 inline uint128& uint128::operator>>=(int amount) { | 249 inline uint128& uint128::operator>>=(int amount) { |
| 240 // uint64 shifts of >= 64 are undefined, so we will need some special-casing. | 250 // uint64_t shifts of >= 64 are undefined, so we will need some |
| 251 // special-casing. |
| 241 if (amount < 64) { | 252 if (amount < 64) { |
| 242 if (amount != 0) { | 253 if (amount != 0) { |
| 243 lo_ = (lo_ >> amount) | (hi_ << (64 - amount)); | 254 lo_ = (lo_ >> amount) | (hi_ << (64 - amount)); |
| 244 hi_ = hi_ >> amount; | 255 hi_ = hi_ >> amount; |
| 245 } | 256 } |
| 246 } else if (amount < 128) { | 257 } else if (amount < 128) { |
| 247 hi_ = 0; | 258 hi_ = 0; |
| 248 lo_ = hi_ >> (amount - 64); | 259 lo_ = hi_ >> (amount - 64); |
| 249 } else { | 260 } else { |
| 250 hi_ = 0; | 261 hi_ = 0; |
| 251 lo_ = 0; | 262 lo_ = 0; |
| 252 } | 263 } |
| 253 return *this; | 264 return *this; |
| 254 } | 265 } |
| 255 | 266 |
| 256 inline uint128 operator+(const uint128& lhs, const uint128& rhs) { | 267 inline uint128 operator+(const uint128& lhs, const uint128& rhs) { |
| 257 return uint128(lhs) += rhs; | 268 return uint128(lhs) += rhs; |
| 258 } | 269 } |
| 259 | 270 |
| 260 inline uint128 operator-(const uint128& lhs, const uint128& rhs) { | 271 inline uint128 operator-(const uint128& lhs, const uint128& rhs) { |
| 261 return uint128(lhs) -= rhs; | 272 return uint128(lhs) -= rhs; |
| 262 } | 273 } |
| 263 | 274 |
| 264 inline uint128 operator*(const uint128& lhs, const uint128& rhs) { | 275 inline uint128 operator*(const uint128& lhs, const uint128& rhs) { |
| 265 return uint128(lhs) *= rhs; | 276 return uint128(lhs) *= rhs; |
| 266 } | 277 } |
| 267 | 278 |
| 268 inline uint128& uint128::operator+=(const uint128& b) { | 279 inline uint128& uint128::operator+=(const uint128& b) { |
| 269 hi_ += b.hi_; | 280 hi_ += b.hi_; |
| 270 uint64 lolo = lo_ + b.lo_; | 281 uint64_t lolo = lo_ + b.lo_; |
| 271 if (lolo < lo_) | 282 if (lolo < lo_) |
| 272 ++hi_; | 283 ++hi_; |
| 273 lo_ = lolo; | 284 lo_ = lolo; |
| 274 return *this; | 285 return *this; |
| 275 } | 286 } |
| 276 | 287 |
| 277 inline uint128& uint128::operator-=(const uint128& b) { | 288 inline uint128& uint128::operator-=(const uint128& b) { |
| 278 hi_ -= b.hi_; | 289 hi_ -= b.hi_; |
| 279 if (b.lo_ > lo_) | 290 if (b.lo_ > lo_) |
| 280 --hi_; | 291 --hi_; |
| 281 lo_ -= b.lo_; | 292 lo_ -= b.lo_; |
| 282 return *this; | 293 return *this; |
| 283 } | 294 } |
| 284 | 295 |
| 285 inline uint128& uint128::operator*=(const uint128& b) { | 296 inline uint128& uint128::operator*=(const uint128& b) { |
| 286 uint64 a96 = hi_ >> 32; | 297 uint64_t a96 = hi_ >> 32; |
| 287 uint64 a64 = hi_ & 0xffffffffu; | 298 uint64_t a64 = hi_ & 0xffffffffu; |
| 288 uint64 a32 = lo_ >> 32; | 299 uint64_t a32 = lo_ >> 32; |
| 289 uint64 a00 = lo_ & 0xffffffffu; | 300 uint64_t a00 = lo_ & 0xffffffffu; |
| 290 uint64 b96 = b.hi_ >> 32; | 301 uint64_t b96 = b.hi_ >> 32; |
| 291 uint64 b64 = b.hi_ & 0xffffffffu; | 302 uint64_t b64 = b.hi_ & 0xffffffffu; |
| 292 uint64 b32 = b.lo_ >> 32; | 303 uint64_t b32 = b.lo_ >> 32; |
| 293 uint64 b00 = b.lo_ & 0xffffffffu; | 304 uint64_t b00 = b.lo_ & 0xffffffffu; |
| 294 // multiply [a96 .. a00] x [b96 .. b00] | 305 // multiply [a96 .. a00] x [b96 .. b00] |
| 295 // terms higher than c96 disappear off the high side | 306 // terms higher than c96 disappear off the high side |
| 296 // terms c96 and c64 are safe to ignore carry bit | 307 // terms c96 and c64 are safe to ignore carry bit |
| 297 uint64 c96 = a96 * b00 + a64 * b32 + a32 * b64 + a00 * b96; | 308 uint64_t c96 = a96 * b00 + a64 * b32 + a32 * b64 + a00 * b96; |
| 298 uint64 c64 = a64 * b00 + a32 * b32 + a00 * b64; | 309 uint64_t c64 = a64 * b00 + a32 * b32 + a00 * b64; |
| 299 this->hi_ = (c96 << 32) + c64; | 310 this->hi_ = (c96 << 32) + c64; |
| 300 this->lo_ = 0; | 311 this->lo_ = 0; |
| 301 // add terms after this one at a time to capture carry | 312 // add terms after this one at a time to capture carry |
| 302 *this += uint128(a32 * b00) << 32; | 313 *this += uint128(a32 * b00) << 32; |
| 303 *this += uint128(a00 * b32) << 32; | 314 *this += uint128(a00 * b32) << 32; |
| 304 *this += a00 * b00; | 315 *this += a00 * b00; |
| 305 return *this; | 316 return *this; |
| 306 } | 317 } |
| 307 | 318 |
| 308 inline uint128 uint128::operator++(int) { | 319 inline uint128 uint128::operator++(int) { |
| (...skipping 12 matching lines...) Expand all Loading... |
| 321 *this += 1; | 332 *this += 1; |
| 322 return *this; | 333 return *this; |
| 323 } | 334 } |
| 324 | 335 |
| 325 inline uint128& uint128::operator--() { | 336 inline uint128& uint128::operator--() { |
| 326 *this -= 1; | 337 *this -= 1; |
| 327 return *this; | 338 return *this; |
| 328 } | 339 } |
| 329 | 340 |
| 330 #endif // NET_BASE_INT128_H_ | 341 #endif // NET_BASE_INT128_H_ |
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