xref: /qemu/include/qemu/int128.h (revision 5db05230)
1 #ifndef INT128_H
2 #define INT128_H
3 
4 #include "qemu/bswap.h"
5 
6 /*
7  * With TCI, we need to use libffi for interfacing with TCG helpers.
8  * But libffi does not support __int128_t, and therefore cannot pass
9  * or return values of this type, force use of the Int128 struct.
10  */
11 #if defined(CONFIG_INT128) && !defined(CONFIG_TCG_INTERPRETER)
12 typedef __int128_t Int128;
13 typedef __int128_t __attribute__((aligned(16))) Int128Aligned;
14 
15 static inline Int128 int128_make64(uint64_t a)
16 {
17     return a;
18 }
19 
20 static inline Int128 int128_makes64(int64_t a)
21 {
22     return a;
23 }
24 
25 static inline Int128 int128_make128(uint64_t lo, uint64_t hi)
26 {
27     return (__uint128_t)hi << 64 | lo;
28 }
29 
30 static inline uint64_t int128_get64(Int128 a)
31 {
32     uint64_t r = a;
33     assert(r == a);
34     return r;
35 }
36 
37 static inline uint64_t int128_getlo(Int128 a)
38 {
39     return a;
40 }
41 
42 static inline int64_t int128_gethi(Int128 a)
43 {
44     return a >> 64;
45 }
46 
47 static inline Int128 int128_zero(void)
48 {
49     return 0;
50 }
51 
52 static inline Int128 int128_one(void)
53 {
54     return 1;
55 }
56 
57 static inline Int128 int128_2_64(void)
58 {
59     return (Int128)1 << 64;
60 }
61 
62 static inline Int128 int128_exts64(int64_t a)
63 {
64     return a;
65 }
66 
67 static inline Int128 int128_not(Int128 a)
68 {
69     return ~a;
70 }
71 
72 static inline Int128 int128_and(Int128 a, Int128 b)
73 {
74     return a & b;
75 }
76 
77 static inline Int128 int128_or(Int128 a, Int128 b)
78 {
79     return a | b;
80 }
81 
82 static inline Int128 int128_xor(Int128 a, Int128 b)
83 {
84     return a ^ b;
85 }
86 
87 static inline Int128 int128_rshift(Int128 a, int n)
88 {
89     return a >> n;
90 }
91 
92 static inline Int128 int128_urshift(Int128 a, int n)
93 {
94     return (__uint128_t)a >> n;
95 }
96 
97 static inline Int128 int128_lshift(Int128 a, int n)
98 {
99     return a << n;
100 }
101 
102 static inline Int128 int128_add(Int128 a, Int128 b)
103 {
104     return a + b;
105 }
106 
107 static inline Int128 int128_neg(Int128 a)
108 {
109     return -a;
110 }
111 
112 static inline Int128 int128_sub(Int128 a, Int128 b)
113 {
114     return a - b;
115 }
116 
117 static inline bool int128_nonneg(Int128 a)
118 {
119     return a >= 0;
120 }
121 
122 static inline bool int128_eq(Int128 a, Int128 b)
123 {
124     return a == b;
125 }
126 
127 static inline bool int128_ne(Int128 a, Int128 b)
128 {
129     return a != b;
130 }
131 
132 static inline bool int128_ge(Int128 a, Int128 b)
133 {
134     return a >= b;
135 }
136 
137 static inline bool int128_uge(Int128 a, Int128 b)
138 {
139     return ((__uint128_t)a) >= ((__uint128_t)b);
140 }
141 
142 static inline bool int128_lt(Int128 a, Int128 b)
143 {
144     return a < b;
145 }
146 
147 static inline bool int128_ult(Int128 a, Int128 b)
148 {
149     return (__uint128_t)a < (__uint128_t)b;
150 }
151 
152 static inline bool int128_le(Int128 a, Int128 b)
153 {
154     return a <= b;
155 }
156 
157 static inline bool int128_gt(Int128 a, Int128 b)
158 {
159     return a > b;
160 }
161 
162 static inline bool int128_nz(Int128 a)
163 {
164     return a != 0;
165 }
166 
167 static inline Int128 int128_min(Int128 a, Int128 b)
168 {
169     return a < b ? a : b;
170 }
171 
172 static inline Int128 int128_max(Int128 a, Int128 b)
173 {
174     return a > b ? a : b;
175 }
176 
177 static inline void int128_addto(Int128 *a, Int128 b)
178 {
179     *a += b;
180 }
181 
182 static inline void int128_subfrom(Int128 *a, Int128 b)
183 {
184     *a -= b;
185 }
186 
187 static inline Int128 bswap128(Int128 a)
188 {
189 #if __has_builtin(__builtin_bswap128)
190     return __builtin_bswap128(a);
191 #else
192     return int128_make128(bswap64(int128_gethi(a)), bswap64(int128_getlo(a)));
193 #endif
194 }
195 
196 static inline int clz128(Int128 a)
197 {
198     if (a >> 64) {
199         return __builtin_clzll(a >> 64);
200     } else {
201         return (a) ? __builtin_clzll((uint64_t)a) + 64 : 128;
202     }
203 }
204 
205 static inline Int128 int128_divu(Int128 a, Int128 b)
206 {
207     return (__uint128_t)a / (__uint128_t)b;
208 }
209 
210 static inline Int128 int128_remu(Int128 a, Int128 b)
211 {
212     return (__uint128_t)a % (__uint128_t)b;
213 }
214 
215 static inline Int128 int128_divs(Int128 a, Int128 b)
216 {
217     return a / b;
218 }
219 
220 static inline Int128 int128_rems(Int128 a, Int128 b)
221 {
222     return a % b;
223 }
224 
225 #else /* !CONFIG_INT128 */
226 
227 typedef struct Int128 Int128;
228 typedef struct Int128 __attribute__((aligned(16))) Int128Aligned;
229 
230 /*
231  * We guarantee that the in-memory byte representation of an
232  * Int128 is that of a host-endian-order 128-bit integer
233  * (whether using this struct or the __int128_t version of the type).
234  * Some code using this type relies on this (eg when copying it into
235  * guest memory or a gdb protocol buffer, or by using Int128 in
236  * a union with other integer types).
237  */
238 struct Int128 {
239 #if HOST_BIG_ENDIAN
240     int64_t hi;
241     uint64_t lo;
242 #else
243     uint64_t lo;
244     int64_t hi;
245 #endif
246 };
247 
248 static inline Int128 int128_make64(uint64_t a)
249 {
250     return (Int128) { .lo = a, .hi = 0 };
251 }
252 
253 static inline Int128 int128_makes64(int64_t a)
254 {
255     return (Int128) { .lo = a, .hi = a >> 63 };
256 }
257 
258 static inline Int128 int128_make128(uint64_t lo, uint64_t hi)
259 {
260     return (Int128) { .lo = lo, .hi = hi };
261 }
262 
263 static inline uint64_t int128_get64(Int128 a)
264 {
265     assert(!a.hi);
266     return a.lo;
267 }
268 
269 static inline uint64_t int128_getlo(Int128 a)
270 {
271     return a.lo;
272 }
273 
274 static inline int64_t int128_gethi(Int128 a)
275 {
276     return a.hi;
277 }
278 
279 static inline Int128 int128_zero(void)
280 {
281     return int128_make64(0);
282 }
283 
284 static inline Int128 int128_one(void)
285 {
286     return int128_make64(1);
287 }
288 
289 static inline Int128 int128_2_64(void)
290 {
291     return int128_make128(0, 1);
292 }
293 
294 static inline Int128 int128_exts64(int64_t a)
295 {
296     return int128_make128(a, (a < 0) ? -1 : 0);
297 }
298 
299 static inline Int128 int128_not(Int128 a)
300 {
301     return int128_make128(~a.lo, ~a.hi);
302 }
303 
304 static inline Int128 int128_and(Int128 a, Int128 b)
305 {
306     return int128_make128(a.lo & b.lo, a.hi & b.hi);
307 }
308 
309 static inline Int128 int128_or(Int128 a, Int128 b)
310 {
311     return int128_make128(a.lo | b.lo, a.hi | b.hi);
312 }
313 
314 static inline Int128 int128_xor(Int128 a, Int128 b)
315 {
316     return int128_make128(a.lo ^ b.lo, a.hi ^ b.hi);
317 }
318 
319 static inline Int128 int128_rshift(Int128 a, int n)
320 {
321     int64_t h;
322     if (!n) {
323         return a;
324     }
325     h = a.hi >> (n & 63);
326     if (n >= 64) {
327         return int128_make128(h, h >> 63);
328     } else {
329         return int128_make128((a.lo >> n) | ((uint64_t)a.hi << (64 - n)), h);
330     }
331 }
332 
333 static inline Int128 int128_urshift(Int128 a, int n)
334 {
335     uint64_t h = a.hi;
336     if (!n) {
337         return a;
338     }
339     h = h >> (n & 63);
340     if (n >= 64) {
341         return int128_make64(h);
342     } else {
343         return int128_make128((a.lo >> n) | ((uint64_t)a.hi << (64 - n)), h);
344     }
345 }
346 
347 static inline Int128 int128_lshift(Int128 a, int n)
348 {
349     uint64_t l = a.lo << (n & 63);
350     if (n >= 64) {
351         return int128_make128(0, l);
352     } else if (n > 0) {
353         return int128_make128(l, (a.hi << n) | (a.lo >> (64 - n)));
354     }
355     return a;
356 }
357 
358 static inline Int128 int128_add(Int128 a, Int128 b)
359 {
360     uint64_t lo = a.lo + b.lo;
361 
362     /* a.lo <= a.lo + b.lo < a.lo + k (k is the base, 2^64).  Hence,
363      * a.lo + b.lo >= k implies 0 <= lo = a.lo + b.lo - k < a.lo.
364      * Similarly, a.lo + b.lo < k implies a.lo <= lo = a.lo + b.lo < k.
365      *
366      * So the carry is lo < a.lo.
367      */
368     return int128_make128(lo, (uint64_t)a.hi + b.hi + (lo < a.lo));
369 }
370 
371 static inline Int128 int128_neg(Int128 a)
372 {
373     uint64_t lo = -a.lo;
374     return int128_make128(lo, ~(uint64_t)a.hi + !lo);
375 }
376 
377 static inline Int128 int128_sub(Int128 a, Int128 b)
378 {
379     return int128_make128(a.lo - b.lo, (uint64_t)a.hi - b.hi - (a.lo < b.lo));
380 }
381 
382 static inline bool int128_nonneg(Int128 a)
383 {
384     return a.hi >= 0;
385 }
386 
387 static inline bool int128_eq(Int128 a, Int128 b)
388 {
389     return a.lo == b.lo && a.hi == b.hi;
390 }
391 
392 static inline bool int128_ne(Int128 a, Int128 b)
393 {
394     return !int128_eq(a, b);
395 }
396 
397 static inline bool int128_ge(Int128 a, Int128 b)
398 {
399     return a.hi > b.hi || (a.hi == b.hi && a.lo >= b.lo);
400 }
401 
402 static inline bool int128_uge(Int128 a, Int128 b)
403 {
404     return (uint64_t)a.hi > (uint64_t)b.hi || (a.hi == b.hi && a.lo >= b.lo);
405 }
406 
407 static inline bool int128_lt(Int128 a, Int128 b)
408 {
409     return !int128_ge(a, b);
410 }
411 
412 static inline bool int128_ult(Int128 a, Int128 b)
413 {
414     return !int128_uge(a, b);
415 }
416 
417 static inline bool int128_le(Int128 a, Int128 b)
418 {
419     return int128_ge(b, a);
420 }
421 
422 static inline bool int128_gt(Int128 a, Int128 b)
423 {
424     return !int128_le(a, b);
425 }
426 
427 static inline bool int128_nz(Int128 a)
428 {
429     return a.lo || a.hi;
430 }
431 
432 static inline Int128 int128_min(Int128 a, Int128 b)
433 {
434     return int128_le(a, b) ? a : b;
435 }
436 
437 static inline Int128 int128_max(Int128 a, Int128 b)
438 {
439     return int128_ge(a, b) ? a : b;
440 }
441 
442 static inline void int128_addto(Int128 *a, Int128 b)
443 {
444     *a = int128_add(*a, b);
445 }
446 
447 static inline void int128_subfrom(Int128 *a, Int128 b)
448 {
449     *a = int128_sub(*a, b);
450 }
451 
452 static inline Int128 bswap128(Int128 a)
453 {
454     return int128_make128(bswap64(a.hi), bswap64(a.lo));
455 }
456 
457 static inline int clz128(Int128 a)
458 {
459     if (a.hi) {
460         return __builtin_clzll(a.hi);
461     } else {
462         return (a.lo) ? __builtin_clzll(a.lo) + 64 : 128;
463     }
464 }
465 
466 Int128 int128_divu(Int128, Int128);
467 Int128 int128_remu(Int128, Int128);
468 Int128 int128_divs(Int128, Int128);
469 Int128 int128_rems(Int128, Int128);
470 #endif /* CONFIG_INT128 && !CONFIG_TCG_INTERPRETER */
471 
472 static inline void bswap128s(Int128 *s)
473 {
474     *s = bswap128(*s);
475 }
476 
477 #define UINT128_MAX int128_make128(~0LL, ~0LL)
478 #define INT128_MAX int128_make128(UINT64_MAX, INT64_MAX)
479 #define INT128_MIN int128_make128(0, INT64_MIN)
480 
481 /*
482  * When compiler supports a 128-bit type, define a combination of
483  * a possible structure and the native types.  Ease parameter passing
484  * via use of the transparent union extension.
485  */
486 #ifdef CONFIG_INT128_TYPE
487 typedef union {
488     __uint128_t u;
489     __int128_t i;
490     Int128 s;
491 } Int128Alias __attribute__((transparent_union));
492 #else
493 typedef Int128 Int128Alias;
494 #endif /* CONFIG_INT128_TYPE */
495 
496 #endif /* INT128_H */
497