/root/doris/be/src/gutil/int128.h
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1 | | // Copyright 2004 Google Inc. |
2 | | // All Rights Reserved. |
3 | | // |
4 | | |
5 | | #pragma once |
6 | | |
7 | | #include <iosfwd> |
8 | | using std::ostream; |
9 | | #include "gutil/integral_types.h" |
10 | | |
11 | | struct uint128_pod; |
12 | | |
13 | | // An unsigned 128-bit integer type. Thread-compatible. |
14 | | class uint128 { |
15 | | public: |
16 | | uint128(); // Sets to 0, but don't trust on this behavior. |
17 | | uint128(uint64 top, uint64 bottom); |
18 | | #ifndef SWIG |
19 | | uint128(int bottom); |
20 | | uint128(uint32 bottom); // Top 96 bits = 0 |
21 | | #endif |
22 | | uint128(uint64 bottom); // hi_ = 0 |
23 | | uint128(const uint128& val); |
24 | | uint128(const uint128_pod& val); |
25 | | |
26 | | void Initialize(uint64 top, uint64 bottom); |
27 | | |
28 | | uint128& operator=(const uint128& b); |
29 | | |
30 | | // Arithmetic operators. |
31 | | // TODO: division, etc. |
32 | | uint128& operator+=(const uint128& b); |
33 | | uint128& operator-=(const uint128& b); |
34 | | uint128& operator*=(const uint128& b); |
35 | | uint128 operator++(int); |
36 | | uint128 operator--(int); |
37 | | uint128& operator<<=(int); |
38 | | uint128& operator>>=(int); |
39 | | uint128& operator&=(const uint128& b); |
40 | | uint128& operator|=(const uint128& b); |
41 | | uint128& operator^=(const uint128& b); |
42 | | uint128& operator++(); |
43 | | uint128& operator--(); |
44 | | |
45 | | friend uint64 Uint128Low64(const uint128& v); |
46 | | friend uint64 Uint128High64(const uint128& v); |
47 | | |
48 | | // We add "std::" to avoid including all of port.h. |
49 | | friend std::ostream& operator<<(std::ostream& o, 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 | | extern const uint128_pod kuint128max; |
78 | | |
79 | | // allow uint128 to be logged |
80 | | extern std::ostream& operator<<(std::ostream& o, const uint128& b); |
81 | | |
82 | | // Methods to access low and high pieces of 128-bit value. |
83 | | // Defined externally from uint128 to facilitate conversion |
84 | | // to native 128-bit types when compilers support them. |
85 | 23.6k | inline uint64 Uint128Low64(const uint128& v) { |
86 | 23.6k | return v.lo_; |
87 | 23.6k | } |
88 | 47.2k | inline uint64 Uint128High64(const uint128& v) { |
89 | 47.2k | return v.hi_; |
90 | 47.2k | } |
91 | | |
92 | | // TODO: perhaps it would be nice to have int128, a signed 128-bit type? |
93 | | |
94 | | // -------------------------------------------------------------------------- |
95 | | // Implementation details follow |
96 | | // -------------------------------------------------------------------------- |
97 | 0 | inline bool operator==(const uint128& lhs, const uint128& rhs) { |
98 | 0 | return (Uint128Low64(lhs) == Uint128Low64(rhs) && Uint128High64(lhs) == Uint128High64(rhs)); |
99 | 0 | } |
100 | 0 | inline bool operator!=(const uint128& lhs, const uint128& rhs) { |
101 | 0 | return !(lhs == rhs); |
102 | 0 | } |
103 | 0 | inline uint128& uint128::operator=(const uint128& b) { |
104 | 0 | lo_ = b.lo_; |
105 | 0 | hi_ = b.hi_; |
106 | 0 | return *this; |
107 | 0 | } |
108 | | |
109 | | inline uint128::uint128() : lo_(0), hi_(0) {} |
110 | 23.6k | inline uint128::uint128(uint64 top, uint64 bottom) : lo_(bottom), hi_(top) {} |
111 | 0 | inline uint128::uint128(const uint128& v) : lo_(v.lo_), hi_(v.hi_) {} |
112 | | inline uint128::uint128(const uint128_pod& v) : lo_(v.lo), hi_(v.hi) {} |
113 | | inline uint128::uint128(uint64 bottom) : lo_(bottom), hi_(0) {} |
114 | | #ifndef SWIG |
115 | | inline uint128::uint128(uint32 bottom) : lo_(bottom), hi_(0) {} |
116 | | inline uint128::uint128(int bottom) : lo_(bottom), hi_(0) { |
117 | | if (bottom < 0) { |
118 | | --hi_; |
119 | | } |
120 | | } |
121 | | #endif |
122 | 0 | inline void uint128::Initialize(uint64 top, uint64 bottom) { |
123 | 0 | hi_ = top; |
124 | 0 | lo_ = bottom; |
125 | 0 | } |
126 | | |
127 | | // Comparison operators. |
128 | | |
129 | | #define CMP128(op) \ |
130 | 0 | inline bool operator op(const uint128& lhs, const uint128& rhs) { \ |
131 | 0 | return (Uint128High64(lhs) == Uint128High64(rhs)) \ |
132 | 0 | ? (Uint128Low64(lhs) op Uint128Low64(rhs)) \ |
133 | 0 | : (Uint128High64(lhs) op Uint128High64(rhs)); \ |
134 | 0 | } Unexecuted instantiation: _ZltRK7uint128S1_ Unexecuted instantiation: _ZgtRK7uint128S1_ Unexecuted instantiation: _ZgeRK7uint128S1_ Unexecuted instantiation: _ZleRK7uint128S1_ |
135 | | |
136 | | CMP128(<) |
137 | | CMP128(>) |
138 | | CMP128(>=) |
139 | | CMP128(<=) |
140 | | |
141 | | #undef CMP128 |
142 | | |
143 | | // Unary operators |
144 | | |
145 | 0 | inline uint128 operator-(const uint128& val) { |
146 | 0 | const uint64 hi_flip = ~Uint128High64(val); |
147 | 0 | const uint64 lo_flip = ~Uint128Low64(val); |
148 | 0 | const uint64 lo_add = lo_flip + 1; |
149 | 0 | if (lo_add < lo_flip) { |
150 | 0 | return uint128(hi_flip + 1, lo_add); |
151 | 0 | } |
152 | 0 | return uint128(hi_flip, lo_add); |
153 | 0 | } |
154 | | |
155 | 0 | inline bool operator!(const uint128& val) { |
156 | 0 | return !Uint128High64(val) && !Uint128Low64(val); |
157 | 0 | } |
158 | | |
159 | | // Logical operators. |
160 | | |
161 | 0 | inline uint128 operator~(const uint128& val) { |
162 | 0 | return uint128(~Uint128High64(val), ~Uint128Low64(val)); |
163 | 0 | } |
164 | | |
165 | | #define LOGIC128(op) \ |
166 | 0 | inline uint128 operator op(const uint128& lhs, const uint128& rhs) { \ |
167 | 0 | return uint128(Uint128High64(lhs) op Uint128High64(rhs), \ |
168 | 0 | Uint128Low64(lhs) op Uint128Low64(rhs)); \ |
169 | 0 | } Unexecuted instantiation: _ZorRK7uint128S1_ Unexecuted instantiation: _ZanRK7uint128S1_ Unexecuted instantiation: _ZeoRK7uint128S1_ |
170 | | |
171 | | LOGIC128(|) |
172 | | LOGIC128(&) |
173 | | LOGIC128(^) |
174 | | |
175 | | #undef LOGIC128 |
176 | | |
177 | | #define LOGICASSIGN128(op) \ |
178 | 0 | inline uint128& uint128::operator op(const uint128& other) { \ |
179 | 0 | hi_ op other.hi_; \ |
180 | 0 | lo_ op other.lo_; \ |
181 | 0 | return *this; \ |
182 | 0 | } Unexecuted instantiation: _ZN7uint128oRERKS_ Unexecuted instantiation: _ZN7uint128aNERKS_ Unexecuted instantiation: _ZN7uint128eOERKS_ |
183 | | |
184 | | LOGICASSIGN128(|=) |
185 | | LOGICASSIGN128(&=) |
186 | | LOGICASSIGN128(^=) |
187 | | |
188 | | #undef LOGICASSIGN128 |
189 | | |
190 | | // Shift operators. |
191 | | |
192 | 0 | inline uint128 operator<<(const uint128& val, int amount) { |
193 | 0 | // uint64 shifts of >= 64 are undefined, so we will need some special-casing. |
194 | 0 | if (amount < 64) { |
195 | 0 | if (amount == 0) { |
196 | 0 | return val; |
197 | 0 | } |
198 | 0 | uint64 new_hi = (Uint128High64(val) << amount) | (Uint128Low64(val) >> (64 - amount)); |
199 | 0 | uint64 new_lo = Uint128Low64(val) << amount; |
200 | 0 | return uint128(new_hi, new_lo); |
201 | 0 | } else if (amount < 128) { |
202 | 0 | return uint128(Uint128Low64(val) << (amount - 64), 0); |
203 | 0 | } else { |
204 | 0 | return uint128(0, 0); |
205 | 0 | } |
206 | 0 | } |
207 | | |
208 | 0 | inline uint128 operator>>(const uint128& val, int amount) { |
209 | 0 | // uint64 shifts of >= 64 are undefined, so we will need some special-casing. |
210 | 0 | if (amount < 64) { |
211 | 0 | if (amount == 0) { |
212 | 0 | return val; |
213 | 0 | } |
214 | 0 | uint64 new_hi = Uint128High64(val) >> amount; |
215 | 0 | uint64 new_lo = (Uint128Low64(val) >> amount) | (Uint128High64(val) << (64 - amount)); |
216 | 0 | return uint128(new_hi, new_lo); |
217 | 0 | } else if (amount < 128) { |
218 | 0 | return uint128(0, Uint128High64(val) >> (amount - 64)); |
219 | 0 | } else { |
220 | 0 | return uint128(0, 0); |
221 | 0 | } |
222 | 0 | } |
223 | | |
224 | 0 | inline uint128& uint128::operator<<=(int amount) { |
225 | 0 | // uint64 shifts of >= 64 are undefined, so we will need some special-casing. |
226 | 0 | if (amount < 64) { |
227 | 0 | if (amount != 0) { |
228 | 0 | hi_ = (hi_ << amount) | (lo_ >> (64 - amount)); |
229 | 0 | lo_ = lo_ << amount; |
230 | 0 | } |
231 | 0 | } else if (amount < 128) { |
232 | 0 | hi_ = lo_ << (amount - 64); |
233 | 0 | lo_ = 0; |
234 | 0 | } else { |
235 | 0 | hi_ = 0; |
236 | 0 | lo_ = 0; |
237 | 0 | } |
238 | 0 | return *this; |
239 | 0 | } |
240 | | |
241 | 0 | inline uint128& uint128::operator>>=(int amount) { |
242 | 0 | // uint64 shifts of >= 64 are undefined, so we will need some special-casing. |
243 | 0 | if (amount < 64) { |
244 | 0 | if (amount != 0) { |
245 | 0 | lo_ = (lo_ >> amount) | (hi_ << (64 - amount)); |
246 | 0 | hi_ = hi_ >> amount; |
247 | 0 | } |
248 | 0 | } else if (amount < 128) { |
249 | 0 | hi_ = 0; |
250 | 0 | lo_ = hi_ >> (amount - 64); |
251 | 0 | } else { |
252 | 0 | hi_ = 0; |
253 | 0 | lo_ = 0; |
254 | 0 | } |
255 | 0 | return *this; |
256 | 0 | } |
257 | | |
258 | 0 | inline uint128 operator+(const uint128& lhs, const uint128& rhs) { |
259 | 0 | return uint128(lhs) += rhs; |
260 | 0 | } |
261 | | |
262 | 0 | inline uint128 operator-(const uint128& lhs, const uint128& rhs) { |
263 | 0 | return uint128(lhs) -= rhs; |
264 | 0 | } |
265 | | |
266 | 0 | inline uint128 operator*(const uint128& lhs, const uint128& rhs) { |
267 | 0 | return uint128(lhs) *= rhs; |
268 | 0 | } |
269 | | |
270 | 0 | inline uint128& uint128::operator+=(const uint128& b) { |
271 | 0 | hi_ += b.hi_; |
272 | 0 | uint64 lolo = lo_ + b.lo_; |
273 | 0 | if (lolo < lo_) ++hi_; |
274 | 0 | lo_ = lolo; |
275 | 0 | return *this; |
276 | 0 | } |
277 | | |
278 | 0 | inline uint128& uint128::operator-=(const uint128& b) { |
279 | 0 | hi_ -= b.hi_; |
280 | 0 | if (b.lo_ > lo_) --hi_; |
281 | 0 | lo_ -= b.lo_; |
282 | 0 | return *this; |
283 | 0 | } |
284 | | |
285 | 0 | inline uint128& uint128::operator*=(const uint128& b) { |
286 | 0 | uint64 a96 = hi_ >> 32; |
287 | 0 | uint64 a64 = hi_ & 0xffffffffu; |
288 | 0 | uint64 a32 = lo_ >> 32; |
289 | 0 | uint64 a00 = lo_ & 0xffffffffu; |
290 | 0 | uint64 b96 = b.hi_ >> 32; |
291 | 0 | uint64 b64 = b.hi_ & 0xffffffffu; |
292 | 0 | uint64 b32 = b.lo_ >> 32; |
293 | 0 | uint64 b00 = b.lo_ & 0xffffffffu; |
294 | 0 | // multiply [a96 .. a00] x [b96 .. b00] |
295 | 0 | // terms higher than c96 disappear off the high side |
296 | 0 | // terms c96 and c64 are safe to ignore carry bit |
297 | 0 | uint64 c96 = a96 * b00 + a64 * b32 + a32 * b64 + a00 * b96; |
298 | 0 | uint64 c64 = a64 * b00 + a32 * b32 + a00 * b64; |
299 | 0 | this->hi_ = (c96 << 32) + c64; |
300 | 0 | this->lo_ = 0; |
301 | 0 | // add terms after this one at a time to capture carry |
302 | 0 | *this += uint128(a32 * b00) << 32; |
303 | 0 | *this += uint128(a00 * b32) << 32; |
304 | 0 | *this += a00 * b00; |
305 | 0 | return *this; |
306 | 0 | } |
307 | | |
308 | 0 | inline uint128 uint128::operator++(int) { |
309 | 0 | uint128 tmp(*this); |
310 | 0 | *this += 1; |
311 | 0 | return tmp; |
312 | 0 | } |
313 | | |
314 | 0 | inline uint128 uint128::operator--(int) { |
315 | 0 | uint128 tmp(*this); |
316 | 0 | *this -= 1; |
317 | 0 | return tmp; |
318 | 0 | } |
319 | | |
320 | 0 | inline uint128& uint128::operator++() { |
321 | 0 | *this += 1; |
322 | 0 | return *this; |
323 | 0 | } |
324 | | |
325 | 0 | inline uint128& uint128::operator--() { |
326 | 0 | *this -= 1; |
327 | 0 | return *this; |
328 | 0 | } |