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1 // SPDX-License-Identifier: GPL-2.0
2 /*
3 * This is a maximally equidistributed combined Tausworthe generator
4 * based on code from GNU Scientific Library 1.5 (30 Jun 2004)
5 *
6 * lfsr113 version:
7 *
8 * x_n = (s1_n ^ s2_n ^ s3_n ^ s4_n)
9 *
10 * s1_{n+1} = (((s1_n & 4294967294) << 18) ^ (((s1_n << 6) ^ s1_n) >> 13))
11 * s2_{n+1} = (((s2_n & 4294967288) << 2) ^ (((s2_n << 2) ^ s2_n) >> 27))
12 * s3_{n+1} = (((s3_n & 4294967280) << 7) ^ (((s3_n << 13) ^ s3_n) >> 21))
13 * s4_{n+1} = (((s4_n & 4294967168) << 13) ^ (((s4_n << 3) ^ s4_n) >> 12))
14 *
15 * The period of this generator is about 2^113 (see erratum paper).
16 *
17 * From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe
18 * Generators", Mathematics of Computation, 65, 213 (1996), 203--213:
19 * http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps
20 * ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps
21 *
22 * There is an erratum in the paper "Tables of Maximally Equidistributed
23 * Combined LFSR Generators", Mathematics of Computation, 68, 225 (1999),
24 * 261--269: http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps
25 *
26 * ... the k_j most significant bits of z_j must be non-zero,
27 * for each j. (Note: this restriction also applies to the
28 * computer code given in [4], but was mistakenly not mentioned
29 * in that paper.)
30 *
31 * This affects the seeding procedure by imposing the requirement
32 * s1 > 1, s2 > 7, s3 > 15, s4 > 127.
33 */
34
35 #include <linux/types.h>
36 #include <linux/percpu.h>
37 #include <linux/export.h>
38 #include <linux/jiffies.h>
39 #include <linux/random.h>
40 #include <linux/sched.h>
41 #include <asm/unaligned.h>
42 #include <trace/events/random.h>
43
44 #ifdef CONFIG_RANDOM32_SELFTEST
45 static void __init prandom_state_selftest(void);
46 #else
47 static inline void prandom_state_selftest(void)
48 {
49 }
50 #endif
51
52 DEFINE_PER_CPU(struct rnd_state, net_rand_state);
53
54 /**
55 * prandom_u32_state - seeded pseudo-random number generator.
56 * @state: pointer to state structure holding seeded state.
57 *
58 * This is used for pseudo-randomness with no outside seeding.
59 * For more random results, use prandom_u32().
60 */
61 u32 prandom_u32_state(struct rnd_state *state)
62 {
63 #define TAUSWORTHE(s, a, b, c, d) ((s & c) << d) ^ (((s << a) ^ s) >> b)
64 state->s1 = TAUSWORTHE(state->s1, 6U, 13U, 4294967294U, 18U);
65 state->s2 = TAUSWORTHE(state->s2, 2U, 27U, 4294967288U, 2U);
66 state->s3 = TAUSWORTHE(state->s3, 13U, 21U, 4294967280U, 7U);
67 state->s4 = TAUSWORTHE(state->s4, 3U, 12U, 4294967168U, 13U);
68
69 return (state->s1 ^ state->s2 ^ state->s3 ^ state->s4);
70 }
71 EXPORT_SYMBOL(prandom_u32_state);
72
73 /**
74 * prandom_u32 - pseudo random number generator
75 *
76 * A 32 bit pseudo-random number is generated using a fast
77 * algorithm suitable for simulation. This algorithm is NOT
78 * considered safe for cryptographic use.
79 */
80 u32 prandom_u32(void)
81 {
82 struct rnd_state *state = &get_cpu_var(net_rand_state);
83 u32 res;
84
85 res = prandom_u32_state(state);
86 trace_prandom_u32(res);
87 put_cpu_var(net_rand_state);
88
89 return res;
90 }
91 EXPORT_SYMBOL(prandom_u32);
92
93 /**
94 * prandom_bytes_state - get the requested number of pseudo-random bytes
95 *
96 * @state: pointer to state structure holding seeded state.
97 * @buf: where to copy the pseudo-random bytes to
98 * @bytes: the requested number of bytes
99 *
100 * This is used for pseudo-randomness with no outside seeding.
101 * For more random results, use prandom_bytes().
102 */
103 void prandom_bytes_state(struct rnd_state *state, void *buf, size_t bytes)
104 {
105 u8 *ptr = buf;
106
107 while (bytes >= sizeof(u32)) {
108 put_unaligned(prandom_u32_state(state), (u32 *) ptr);
109 ptr += sizeof(u32);
110 bytes -= sizeof(u32);
111 }
112
113 if (bytes > 0) {
114 u32 rem = prandom_u32_state(state);
115 do {
116 *ptr++ = (u8) rem;
117 bytes--;
118 rem >>= BITS_PER_BYTE;
119 } while (bytes > 0);
120 }
121 }
122 EXPORT_SYMBOL(prandom_bytes_state);
123
124 /**
125 * prandom_bytes - get the requested number of pseudo-random bytes
126 * @buf: where to copy the pseudo-random bytes to
127 * @bytes: the requested number of bytes
128 */
129 void prandom_bytes(void *buf, size_t bytes)
130 {
131 struct rnd_state *state = &get_cpu_var(net_rand_state);
132
133 prandom_bytes_state(state, buf, bytes);
134 put_cpu_var(net_rand_state);
135 }
136 EXPORT_SYMBOL(prandom_bytes);
137
138 static void prandom_warmup(struct rnd_state *state)
139 {
140 /* Calling RNG ten times to satisfy recurrence condition */
141 prandom_u32_state(state);
142 prandom_u32_state(state);
143 prandom_u32_state(state);
144 prandom_u32_state(state);
145 prandom_u32_state(state);
146 prandom_u32_state(state);
147 prandom_u32_state(state);
148 prandom_u32_state(state);
149 prandom_u32_state(state);
150 prandom_u32_state(state);
151 }
152
153 static u32 __extract_hwseed(void)
154 {
155 unsigned int val = 0;
156
157 (void)(arch_get_random_seed_int(&val) ||
158 arch_get_random_int(&val));
159
160 return val;
161 }
162
163 static void prandom_seed_early(struct rnd_state *state, u32 seed,
164 bool mix_with_hwseed)
165 {
166 #define LCG(x) ((x) * 69069U) /* super-duper LCG */
167 #define HWSEED() (mix_with_hwseed ? __extract_hwseed() : 0)
168 state->s1 = __seed(HWSEED() ^ LCG(seed), 2U);
169 state->s2 = __seed(HWSEED() ^ LCG(state->s1), 8U);
170 state->s3 = __seed(HWSEED() ^ LCG(state->s2), 16U);
171 state->s4 = __seed(HWSEED() ^ LCG(state->s3), 128U);
172 }
173
174 /**
175 * prandom_seed - add entropy to pseudo random number generator
176 * @entropy: entropy value
177 *
178 * Add some additional entropy to the prandom pool.
179 */
180 void prandom_seed(u32 entropy)
181 {
182 int i;
183 /*
184 * No locking on the CPUs, but then somewhat random results are, well,
185 * expected.
186 */
187 for_each_possible_cpu(i) {
188 struct rnd_state *state = &per_cpu(net_rand_state, i);
189
190 state->s1 = __seed(state->s1 ^ entropy, 2U);
191 prandom_warmup(state);
192 }
193 }
194 EXPORT_SYMBOL(prandom_seed);
195
196 /*
197 * Generate some initially weak seeding values to allow
198 * to start the prandom_u32() engine.
199 */
200 static int __init prandom_init(void)
201 {
202 int i;
203
204 prandom_state_selftest();
205
206 for_each_possible_cpu(i) {
207 struct rnd_state *state = &per_cpu(net_rand_state, i);
208 u32 weak_seed = (i + jiffies) ^ random_get_entropy();
209
210 prandom_seed_early(state, weak_seed, true);
211 prandom_warmup(state);
212 }
213
214 return 0;
215 }
216 core_initcall(prandom_init);
217
218 static void __prandom_timer(struct timer_list *unused);
219
220 static DEFINE_TIMER(seed_timer, __prandom_timer);
221
222 static void __prandom_timer(struct timer_list *unused)
223 {
224 u32 entropy;
225 unsigned long expires;
226
227 get_random_bytes(&entropy, sizeof(entropy));
228 prandom_seed(entropy);
229
230 /* reseed every ~60 seconds, in [40 .. 80) interval with slack */
231 expires = 40 + prandom_u32_max(40);
232 seed_timer.expires = jiffies + msecs_to_jiffies(expires * MSEC_PER_SEC);
233
234 add_timer(&seed_timer);
235 }
236
237 static void __init __prandom_start_seed_timer(void)
238 {
239 seed_timer.expires = jiffies + msecs_to_jiffies(40 * MSEC_PER_SEC);
240 add_timer(&seed_timer);
241 }
242
243 void prandom_seed_full_state(struct rnd_state __percpu *pcpu_state)
244 {
245 int i;
246
247 for_each_possible_cpu(i) {
248 struct rnd_state *state = per_cpu_ptr(pcpu_state, i);
249 u32 seeds[4];
250
251 get_random_bytes(&seeds, sizeof(seeds));
252 state->s1 = __seed(seeds[0], 2U);
253 state->s2 = __seed(seeds[1], 8U);
254 state->s3 = __seed(seeds[2], 16U);
255 state->s4 = __seed(seeds[3], 128U);
256
257 prandom_warmup(state);
258 }
259 }
260 EXPORT_SYMBOL(prandom_seed_full_state);
261
262 /*
263 * Generate better values after random number generator
264 * is fully initialized.
265 */
266 static void __prandom_reseed(bool late)
267 {
268 unsigned long flags;
269 static bool latch = false;
270 static DEFINE_SPINLOCK(lock);
271
272 /* Asking for random bytes might result in bytes getting
273 * moved into the nonblocking pool and thus marking it
274 * as initialized. In this case we would double back into
275 * this function and attempt to do a late reseed.
276 * Ignore the pointless attempt to reseed again if we're
277 * already waiting for bytes when the nonblocking pool
278 * got initialized.
279 */
280
281 /* only allow initial seeding (late == false) once */
282 if (!spin_trylock_irqsave(&lock, flags))
283 return;
284
285 if (latch && !late)
286 goto out;
287
288 latch = true;
289 prandom_seed_full_state(&net_rand_state);
290 out:
291 spin_unlock_irqrestore(&lock, flags);
292 }
293
294 void prandom_reseed_late(void)
295 {
296 __prandom_reseed(true);
297 }
298
299 static int __init prandom_reseed(void)
300 {
301 __prandom_reseed(false);
302 __prandom_start_seed_timer();
303 return 0;
304 }
305 late_initcall(prandom_reseed);
306
307 #ifdef CONFIG_RANDOM32_SELFTEST
308 static struct prandom_test1 {
309 u32 seed;
310 u32 result;
311 } test1[] = {
312 { 1U, 3484351685U },
313 { 2U, 2623130059U },
314 { 3U, 3125133893U },
315 { 4U, 984847254U },
316 };
317
318 static struct prandom_test2 {
319 u32 seed;
320 u32 iteration;
321 u32 result;
322 } test2[] = {
323 /* Test cases against taus113 from GSL library. */
324 { 931557656U, 959U, 2975593782U },
325 { 1339693295U, 876U, 3887776532U },
326 { 1545556285U, 961U, 1615538833U },
327 { 601730776U, 723U, 1776162651U },
328 { 1027516047U, 687U, 511983079U },
329 { 416526298U, 700U, 916156552U },
330 { 1395522032U, 652U, 2222063676U },
331 { 366221443U, 617U, 2992857763U },
332 { 1539836965U, 714U, 3783265725U },
333 { 556206671U, 994U, 799626459U },
334 { 684907218U, 799U, 367789491U },
335 { 2121230701U, 931U, 2115467001U },
336 { 1668516451U, 644U, 3620590685U },
337 { 768046066U, 883U, 2034077390U },
338 { 1989159136U, 833U, 1195767305U },
339 { 536585145U, 996U, 3577259204U },
340 { 1008129373U, 642U, 1478080776U },
341 { 1740775604U, 939U, 1264980372U },
342 { 1967883163U, 508U, 10734624U },
343 { 1923019697U, 730U, 3821419629U },
344 { 442079932U, 560U, 3440032343U },
345 { 1961302714U, 845U, 841962572U },
346 { 2030205964U, 962U, 1325144227U },
347 { 1160407529U, 507U, 240940858U },
348 { 635482502U, 779U, 4200489746U },
349 { 1252788931U, 699U, 867195434U },
350 { 1961817131U, 719U, 668237657U },
351 { 1071468216U, 983U, 917876630U },
352 { 1281848367U, 932U, 1003100039U },
353 { 582537119U, 780U, 1127273778U },
354 { 1973672777U, 853U, 1071368872U },
355 { 1896756996U, 762U, 1127851055U },
356 { 847917054U, 500U, 1717499075U },
357 { 1240520510U, 951U, 2849576657U },
358 { 1685071682U, 567U, 1961810396U },
359 { 1516232129U, 557U, 3173877U },
360 { 1208118903U, 612U, 1613145022U },
361 { 1817269927U, 693U, 4279122573U },
362 { 1510091701U, 717U, 638191229U },
363 { 365916850U, 807U, 600424314U },
364 { 399324359U, 702U, 1803598116U },
365 { 1318480274U, 779U, 2074237022U },
366 { 697758115U, 840U, 1483639402U },
367 { 1696507773U, 840U, 577415447U },
368 { 2081979121U, 981U, 3041486449U },
369 { 955646687U, 742U, 3846494357U },
370 { 1250683506U, 749U, 836419859U },
371 { 595003102U, 534U, 366794109U },
372 { 47485338U, 558U, 3521120834U },
373 { 619433479U, 610U, 3991783875U },
374 { 704096520U, 518U, 4139493852U },
375 { 1712224984U, 606U, 2393312003U },
376 { 1318233152U, 922U, 3880361134U },
377 { 855572992U, 761U, 1472974787U },
378 { 64721421U, 703U, 683860550U },
379 { 678931758U, 840U, 380616043U },
380 { 692711973U, 778U, 1382361947U },
381 { 677703619U, 530U, 2826914161U },
382 { 92393223U, 586U, 1522128471U },
383 { 1222592920U, 743U, 3466726667U },
384 { 358288986U, 695U, 1091956998U },
385 { 1935056945U, 958U, 514864477U },
386 { 735675993U, 990U, 1294239989U },
387 { 1560089402U, 897U, 2238551287U },
388 { 70616361U, 829U, 22483098U },
389 { 368234700U, 731U, 2913875084U },
390 { 20221190U, 879U, 1564152970U },
391 { 539444654U, 682U, 1835141259U },
392 { 1314987297U, 840U, 1801114136U },
393 { 2019295544U, 645U, 3286438930U },
394 { 469023838U, 716U, 1637918202U },
395 { 1843754496U, 653U, 2562092152U },
396 { 400672036U, 809U, 4264212785U },
397 { 404722249U, 965U, 2704116999U },
398 { 600702209U, 758U, 584979986U },
399 { 519953954U, 667U, 2574436237U },
400 { 1658071126U, 694U, 2214569490U },
401 { 420480037U, 749U, 3430010866U },
402 { 690103647U, 969U, 3700758083U },
403 { 1029424799U, 937U, 3787746841U },
404 { 2012608669U, 506U, 3362628973U },
405 { 1535432887U, 998U, 42610943U },
406 { 1330635533U, 857U, 3040806504U },
407 { 1223800550U, 539U, 3954229517U },
408 { 1322411537U, 680U, 3223250324U },
409 { 1877847898U, 945U, 2915147143U },
410 { 1646356099U, 874U, 965988280U },
411 { 805687536U, 744U, 4032277920U },
412 { 1948093210U, 633U, 1346597684U },
413 { 392609744U, 783U, 1636083295U },
414 { 690241304U, 770U, 1201031298U },
415 { 1360302965U, 696U, 1665394461U },
416 { 1220090946U, 780U, 1316922812U },
417 { 447092251U, 500U, 3438743375U },
418 { 1613868791U, 592U, 828546883U },
419 { 523430951U, 548U, 2552392304U },
420 { 726692899U, 810U, 1656872867U },
421 { 1364340021U, 836U, 3710513486U },
422 { 1986257729U, 931U, 935013962U },
423 { 407983964U, 921U, 728767059U },
424 };
425
426 static void __init prandom_state_selftest(void)
427 {
428 int i, j, errors = 0, runs = 0;
429 bool error = false;
430
431 for (i = 0; i < ARRAY_SIZE(test1); i++) {
432 struct rnd_state state;
433
434 prandom_seed_early(&state, test1[i].seed, false);
435 prandom_warmup(&state);
436
437 if (test1[i].result != prandom_u32_state(&state))
438 error = true;
439 }
440
441 if (error)
442 pr_warn("prandom: seed boundary self test failed\n");
443 else
444 pr_info("prandom: seed boundary self test passed\n");
445
446 for (i = 0; i < ARRAY_SIZE(test2); i++) {
447 struct rnd_state state;
448
449 prandom_seed_early(&state, test2[i].seed, false);
450 prandom_warmup(&state);
451
452 for (j = 0; j < test2[i].iteration - 1; j++)
453 prandom_u32_state(&state);
454
455 if (test2[i].result != prandom_u32_state(&state))
456 errors++;
457
458 runs++;
459 cond_resched();
460 }
461
462 if (errors)
463 pr_warn("prandom: %d/%d self tests failed\n", errors, runs);
464 else
465 pr_info("prandom: %d self tests passed\n", runs);
466 }
467 #endif