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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
3 // found in the LICENSE file.
4 
5 #ifndef NET_BASE_INT128_H_
6 #define NET_BASE_INT128_H_
7 
8 #include <iosfwd>
9 #include "base/basictypes.h"
10 #include "net/base/net_export.h"
11 
12 struct uint128_pod;
13 
14 // An unsigned 128-bit integer type. Thread-compatible.
15 class uint128 {
16 public:
17   uint128();  // Sets to 0, but don't trust on this behavior.
18   uint128(uint64 top, uint64 bottom);
19   uint128(int bottom);
20   uint128(uint32 bottom);   // Top 96 bits = 0
21   uint128(uint64 bottom);   // hi_ = 0
22   uint128(const uint128 &val);
23   uint128(const uint128_pod &val);
24 
25   void Initialize(uint64 top, uint64 bottom);
26 
27   uint128& operator=(const uint128& b);
28 
29   // Arithmetic operators.
30   // TODO: division, etc.
31   uint128& operator+=(const uint128& b);
32   uint128& operator-=(const uint128& b);
33   uint128& operator*=(const uint128& b);
34   uint128 operator++(int);
35   uint128 operator--(int);
36   uint128& operator<<=(int);
37   uint128& operator>>=(int);
38   uint128& operator&=(const uint128& b);
39   uint128& operator|=(const uint128& b);
40   uint128& operator^=(const uint128& b);
41   uint128& operator++();
42   uint128& operator--();
43 
44   friend uint64 Uint128Low64(const uint128& v);
45   friend uint64 Uint128High64(const uint128& v);
46 
47   // We add "std::" to avoid including all of port.h.
48   friend NET_EXPORT_PRIVATE std::ostream& operator<<(std::ostream& o,
49                                                      const uint128& b);
50 
51 private:
52   // Little-endian memory order optimizations can benefit from
53   // having lo_ first, hi_ last.
54   // See util/endian/endian.h and Load128/Store128 for storing a uint128.
55   uint64        lo_;
56   uint64        hi_;
57 
58   // Not implemented, just declared for catching automatic type conversions.
59   uint128(uint8);
60   uint128(uint16);
61   uint128(float v);
62   uint128(double v);
63 };
64 
65 // This is a POD form of uint128 which can be used for static variables which
66 // need to be operated on as uint128.
67 struct uint128_pod {
68   // Note: The ordering of fields is different than 'class uint128' but the
69   // 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
71   // first place.  This does not seem to defeat any optimizations wrt
72   // operations involving this struct.
73   uint64 hi;
74   uint64 lo;
75 };
76 
77 NET_EXPORT_PRIVATE extern const uint128_pod kuint128max;
78 
79 // allow uint128 to be logged
80 NET_EXPORT_PRIVATE extern std::ostream& operator<<(std::ostream& o,
81                                                    const uint128& b);
82 
83 // Methods to access low and high pieces of 128-bit value.
84 // Defined externally from uint128 to facilitate conversion
85 // to native 128-bit types when compilers support them.
Uint128Low64(const uint128 & v)86 inline uint64 Uint128Low64(const uint128& v) { return v.lo_; }
Uint128High64(const uint128 & v)87 inline uint64 Uint128High64(const uint128& v) { return v.hi_; }
88 
89 // TODO: perhaps it would be nice to have int128, a signed 128-bit type?
90 
91 // --------------------------------------------------------------------------
92 //                      Implementation details follow
93 // --------------------------------------------------------------------------
94 inline bool operator==(const uint128& lhs, const uint128& rhs) {
95   return (Uint128Low64(lhs) == Uint128Low64(rhs) &&
96           Uint128High64(lhs) == Uint128High64(rhs));
97 }
98 inline bool operator!=(const uint128& lhs, const uint128& rhs) {
99   return !(lhs == rhs);
100 }
101 inline uint128& uint128::operator=(const uint128& b) {
102   lo_ = b.lo_;
103   hi_ = b.hi_;
104   return *this;
105 }
106 
uint128()107 inline uint128::uint128(): lo_(0), hi_(0) { }
uint128(uint64 top,uint64 bottom)108 inline uint128::uint128(uint64 top, uint64 bottom) : lo_(bottom), hi_(top) { }
uint128(const uint128 & v)109 inline uint128::uint128(const uint128 &v) : lo_(v.lo_), hi_(v.hi_) { }
uint128(const uint128_pod & v)110 inline uint128::uint128(const uint128_pod &v) : lo_(v.lo), hi_(v.hi) { }
uint128(uint64 bottom)111 inline uint128::uint128(uint64 bottom) : lo_(bottom), hi_(0) { }
uint128(uint32 bottom)112 inline uint128::uint128(uint32 bottom) : lo_(bottom), hi_(0) { }
uint128(int bottom)113 inline uint128::uint128(int bottom) : lo_(bottom), hi_(0) {
114   if (bottom < 0) {
115     --hi_;
116   }
117 }
Initialize(uint64 top,uint64 bottom)118 inline void uint128::Initialize(uint64 top, uint64 bottom) {
119   hi_ = top;
120   lo_ = bottom;
121 }
122 
123 // Comparison operators.
124 
125 #define CMP128(op)                                                \
126 inline bool operator op(const uint128& lhs, const uint128& rhs) { \
127   return (Uint128High64(lhs) == Uint128High64(rhs)) ?             \
128       (Uint128Low64(lhs) op Uint128Low64(rhs)) :                  \
129       (Uint128High64(lhs) op Uint128High64(rhs));                 \
130 }
131 
132 CMP128(<)
133 CMP128(>)
134 CMP128(>=)
135 CMP128(<=)
136 
137 #undef CMP128
138 
139 // Unary operators
140 
141 inline uint128 operator-(const uint128& val) {
142   const uint64 hi_flip = ~Uint128High64(val);
143   const uint64 lo_flip = ~Uint128Low64(val);
144   const uint64 lo_add = lo_flip + 1;
145   if (lo_add < lo_flip) {
146     return uint128(hi_flip + 1, lo_add);
147   }
148   return uint128(hi_flip, lo_add);
149 }
150 
151 inline bool operator!(const uint128& val) {
152   return !Uint128High64(val) && !Uint128Low64(val);
153 }
154 
155 // Logical operators.
156 
157 inline uint128 operator~(const uint128& val) {
158   return uint128(~Uint128High64(val), ~Uint128Low64(val));
159 }
160 
161 #define LOGIC128(op)                                                 \
162 inline uint128 operator op(const uint128& lhs, const uint128& rhs) { \
163   return uint128(Uint128High64(lhs) op Uint128High64(rhs),           \
164                  Uint128Low64(lhs) op Uint128Low64(rhs));            \
165 }
166 
167 LOGIC128(|)
168 LOGIC128(&)
169 LOGIC128(^)
170 
171 #undef LOGIC128
172 
173 #define LOGICASSIGN128(op)                                   \
174 inline uint128& uint128::operator op(const uint128& other) { \
175   hi_ op other.hi_;                                          \
176   lo_ op other.lo_;                                          \
177   return *this;                                              \
178 }
179 
180 LOGICASSIGN128(|=)
181 LOGICASSIGN128(&=)
182 LOGICASSIGN128(^=)
183 
184 #undef LOGICASSIGN128
185 
186 // Shift operators.
187 
188 inline uint128 operator<<(const uint128& val, int amount) {
189   // uint64 shifts of >= 64 are undefined, so we will need some special-casing.
190   if (amount < 64) {
191     if (amount == 0) {
192       return val;
193     }
194     uint64 new_hi = (Uint128High64(val) << amount) |
195                     (Uint128Low64(val) >> (64 - amount));
196     uint64 new_lo = Uint128Low64(val) << amount;
197     return uint128(new_hi, new_lo);
198   } else if (amount < 128) {
199     return uint128(Uint128Low64(val) << (amount - 64), 0);
200   } else {
201     return uint128(0, 0);
202   }
203 }
204 
205 inline uint128 operator>>(const uint128& val, int amount) {
206   // uint64 shifts of >= 64 are undefined, so we will need some special-casing.
207   if (amount < 64) {
208     if (amount == 0) {
209       return val;
210     }
211     uint64 new_hi = Uint128High64(val) >> amount;
212     uint64 new_lo = (Uint128Low64(val) >> amount) |
213                     (Uint128High64(val) << (64 - amount));
214     return uint128(new_hi, new_lo);
215   } else if (amount < 128) {
216     return uint128(0, Uint128High64(val) >> (amount - 64));
217   } else {
218     return uint128(0, 0);
219   }
220 }
221 
222 inline uint128& uint128::operator<<=(int amount) {
223   // uint64 shifts of >= 64 are undefined, so we will need some special-casing.
224   if (amount < 64) {
225     if (amount != 0) {
226       hi_ = (hi_ << amount) | (lo_ >> (64 - amount));
227       lo_ = lo_ << amount;
228     }
229   } else if (amount < 128) {
230     hi_ = lo_ << (amount - 64);
231     lo_ = 0;
232   } else {
233     hi_ = 0;
234     lo_ = 0;
235   }
236   return *this;
237 }
238 
239 inline uint128& uint128::operator>>=(int amount) {
240   // uint64 shifts of >= 64 are undefined, so we will need some special-casing.
241   if (amount < 64) {
242     if (amount != 0) {
243       lo_ = (lo_ >> amount) | (hi_ << (64 - amount));
244       hi_ = hi_ >> amount;
245     }
246   } else if (amount < 128) {
247     hi_ = 0;
248     lo_ = hi_ >> (amount - 64);
249   } else {
250     hi_ = 0;
251     lo_ = 0;
252   }
253   return *this;
254 }
255 
256 inline uint128 operator+(const uint128& lhs, const uint128& rhs) {
257   return uint128(lhs) += rhs;
258 }
259 
260 inline uint128 operator-(const uint128& lhs, const uint128& rhs) {
261   return uint128(lhs) -= rhs;
262 }
263 
264 inline uint128 operator*(const uint128& lhs, const uint128& rhs) {
265   return uint128(lhs) *= rhs;
266 }
267 
268 inline uint128& uint128::operator+=(const uint128& b) {
269   hi_ += b.hi_;
270   uint64 lolo = lo_ + b.lo_;
271   if (lolo < lo_)
272     ++hi_;
273   lo_ = lolo;
274   return *this;
275 }
276 
277 inline uint128& uint128::operator-=(const uint128& b) {
278   hi_ -= b.hi_;
279   if (b.lo_ > lo_)
280     --hi_;
281   lo_ -= b.lo_;
282   return *this;
283 }
284 
285 inline uint128& uint128::operator*=(const uint128& b) {
286   uint64 a96 = hi_ >> 32;
287   uint64 a64 = hi_ & 0xffffffffu;
288   uint64 a32 = lo_ >> 32;
289   uint64 a00 = lo_ & 0xffffffffu;
290   uint64 b96 = b.hi_ >> 32;
291   uint64 b64 = b.hi_ & 0xffffffffu;
292   uint64 b32 = b.lo_ >> 32;
293   uint64 b00 = b.lo_ & 0xffffffffu;
294   // multiply [a96 .. a00] x [b96 .. b00]
295   // terms higher than c96 disappear off the high side
296   // terms c96 and c64 are safe to ignore carry bit
297   uint64 c96 = a96 * b00 + a64 * b32 + a32 * b64 + a00 * b96;
298   uint64 c64 = a64 * b00 + a32 * b32 + a00 * b64;
299   this->hi_ = (c96 << 32) + c64;
300   this->lo_ = 0;
301   // add terms after this one at a time to capture carry
302   *this += uint128(a32 * b00) << 32;
303   *this += uint128(a00 * b32) << 32;
304   *this += a00 * b00;
305   return *this;
306 }
307 
308 inline uint128 uint128::operator++(int) {
309   uint128 tmp(*this);
310   *this += 1;
311   return tmp;
312 }
313 
314 inline uint128 uint128::operator--(int) {
315   uint128 tmp(*this);
316   *this -= 1;
317   return tmp;
318 }
319 
320 inline uint128& uint128::operator++() {
321   *this += 1;
322   return *this;
323 }
324 
325 inline uint128& uint128::operator--() {
326   *this -= 1;
327   return *this;
328 }
329 
330 #endif  // NET_BASE_INT128_H_
331