]>
Commit | Line | Data |
---|---|---|
aaa248f6 SH |
1 | /* |
2 | This is a maximally equidistributed combined Tausworthe generator | |
3 | based on code from GNU Scientific Library 1.5 (30 Jun 2004) | |
4 | ||
a98814ce | 5 | lfsr113 version: |
aaa248f6 | 6 | |
a98814ce | 7 | x_n = (s1_n ^ s2_n ^ s3_n ^ s4_n) |
aaa248f6 | 8 | |
a98814ce DB |
9 | s1_{n+1} = (((s1_n & 4294967294) << 18) ^ (((s1_n << 6) ^ s1_n) >> 13)) |
10 | s2_{n+1} = (((s2_n & 4294967288) << 2) ^ (((s2_n << 2) ^ s2_n) >> 27)) | |
11 | s3_{n+1} = (((s3_n & 4294967280) << 7) ^ (((s3_n << 13) ^ s3_n) >> 21)) | |
12 | s4_{n+1} = (((s4_n & 4294967168) << 13) ^ (((s4_n << 3) ^ s4_n) >> 12)) | |
aaa248f6 | 13 | |
a98814ce | 14 | The period of this generator is about 2^113 (see erratum paper). |
aaa248f6 | 15 | |
a98814ce DB |
16 | From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe |
17 | Generators", Mathematics of Computation, 65, 213 (1996), 203--213: | |
aaa248f6 SH |
18 | http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps |
19 | ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps | |
20 | ||
21 | There is an erratum in the paper "Tables of Maximally | |
22 | Equidistributed Combined LFSR Generators", Mathematics of | |
23 | Computation, 68, 225 (1999), 261--269: | |
24 | http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps | |
25 | ||
26 | ... the k_j most significant bits of z_j must be non- | |
27 | zero, for each j. (Note: this restriction also applies to the | |
28 | computer code given in [4], but was mistakenly not mentioned in | |
29 | that paper.) | |
30 | ||
31 | This affects the seeding procedure by imposing the requirement | |
a98814ce | 32 | s1 > 1, s2 > 7, s3 > 15, s4 > 127. |
aaa248f6 SH |
33 | |
34 | */ | |
35 | ||
36 | #include <linux/types.h> | |
37 | #include <linux/percpu.h> | |
8bc3bcc9 | 38 | #include <linux/export.h> |
f6a57033 | 39 | #include <linux/jiffies.h> |
aaa248f6 | 40 | #include <linux/random.h> |
a6a9c0f1 DB |
41 | #include <linux/sched.h> |
42 | ||
43 | #ifdef CONFIG_RANDOM32_SELFTEST | |
44 | static void __init prandom_state_selftest(void); | |
45 | #endif | |
aaa248f6 | 46 | |
aaa248f6 SH |
47 | static DEFINE_PER_CPU(struct rnd_state, net_rand_state); |
48 | ||
5960164f | 49 | /** |
496f2f93 | 50 | * prandom_u32_state - seeded pseudo-random number generator. |
5960164f JE |
51 | * @state: pointer to state structure holding seeded state. |
52 | * | |
53 | * This is used for pseudo-randomness with no outside seeding. | |
496f2f93 | 54 | * For more random results, use prandom_u32(). |
5960164f | 55 | */ |
496f2f93 | 56 | u32 prandom_u32_state(struct rnd_state *state) |
aaa248f6 SH |
57 | { |
58 | #define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b) | |
59 | ||
a98814ce DB |
60 | state->s1 = TAUSWORTHE(state->s1, 6U, 13U, 4294967294U, 18U); |
61 | state->s2 = TAUSWORTHE(state->s2, 2U, 27U, 4294967288U, 2U); | |
62 | state->s3 = TAUSWORTHE(state->s3, 13U, 21U, 4294967280U, 7U); | |
63 | state->s4 = TAUSWORTHE(state->s4, 3U, 12U, 4294967168U, 13U); | |
aaa248f6 | 64 | |
a98814ce | 65 | return (state->s1 ^ state->s2 ^ state->s3 ^ state->s4); |
aaa248f6 | 66 | } |
496f2f93 | 67 | EXPORT_SYMBOL(prandom_u32_state); |
aaa248f6 SH |
68 | |
69 | /** | |
496f2f93 | 70 | * prandom_u32 - pseudo random number generator |
aaa248f6 SH |
71 | * |
72 | * A 32 bit pseudo-random number is generated using a fast | |
73 | * algorithm suitable for simulation. This algorithm is NOT | |
74 | * considered safe for cryptographic use. | |
75 | */ | |
496f2f93 | 76 | u32 prandom_u32(void) |
aaa248f6 SH |
77 | { |
78 | unsigned long r; | |
79 | struct rnd_state *state = &get_cpu_var(net_rand_state); | |
496f2f93 | 80 | r = prandom_u32_state(state); |
aaa248f6 SH |
81 | put_cpu_var(state); |
82 | return r; | |
83 | } | |
496f2f93 | 84 | EXPORT_SYMBOL(prandom_u32); |
aaa248f6 | 85 | |
6582c665 AM |
86 | /* |
87 | * prandom_bytes_state - get the requested number of pseudo-random bytes | |
88 | * | |
89 | * @state: pointer to state structure holding seeded state. | |
90 | * @buf: where to copy the pseudo-random bytes to | |
91 | * @bytes: the requested number of bytes | |
92 | * | |
93 | * This is used for pseudo-randomness with no outside seeding. | |
94 | * For more random results, use prandom_bytes(). | |
95 | */ | |
96 | void prandom_bytes_state(struct rnd_state *state, void *buf, int bytes) | |
97 | { | |
98 | unsigned char *p = buf; | |
99 | int i; | |
100 | ||
101 | for (i = 0; i < round_down(bytes, sizeof(u32)); i += sizeof(u32)) { | |
102 | u32 random = prandom_u32_state(state); | |
103 | int j; | |
104 | ||
105 | for (j = 0; j < sizeof(u32); j++) { | |
106 | p[i + j] = random; | |
107 | random >>= BITS_PER_BYTE; | |
108 | } | |
109 | } | |
110 | if (i < bytes) { | |
111 | u32 random = prandom_u32_state(state); | |
112 | ||
113 | for (; i < bytes; i++) { | |
114 | p[i] = random; | |
115 | random >>= BITS_PER_BYTE; | |
116 | } | |
117 | } | |
118 | } | |
119 | EXPORT_SYMBOL(prandom_bytes_state); | |
120 | ||
121 | /** | |
122 | * prandom_bytes - get the requested number of pseudo-random bytes | |
123 | * @buf: where to copy the pseudo-random bytes to | |
124 | * @bytes: the requested number of bytes | |
125 | */ | |
126 | void prandom_bytes(void *buf, int bytes) | |
127 | { | |
128 | struct rnd_state *state = &get_cpu_var(net_rand_state); | |
129 | ||
130 | prandom_bytes_state(state, buf, bytes); | |
131 | put_cpu_var(state); | |
132 | } | |
133 | EXPORT_SYMBOL(prandom_bytes); | |
134 | ||
a98814ce DB |
135 | static void prandom_warmup(struct rnd_state *state) |
136 | { | |
137 | /* Calling RNG ten times to satify recurrence condition */ | |
138 | prandom_u32_state(state); | |
139 | prandom_u32_state(state); | |
140 | prandom_u32_state(state); | |
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 | } | |
149 | ||
a6a9c0f1 DB |
150 | static void prandom_seed_very_weak(struct rnd_state *state, u32 seed) |
151 | { | |
152 | /* Note: This sort of seeding is ONLY used in test cases and | |
153 | * during boot at the time from core_initcall until late_initcall | |
154 | * as we don't have a stronger entropy source available yet. | |
155 | * After late_initcall, we reseed entire state, we have to (!), | |
156 | * otherwise an attacker just needs to search 32 bit space to | |
157 | * probe for our internal 128 bit state if he knows a couple | |
158 | * of prandom32 outputs! | |
159 | */ | |
160 | #define LCG(x) ((x) * 69069U) /* super-duper LCG */ | |
161 | state->s1 = __seed(LCG(seed), 2U); | |
162 | state->s2 = __seed(LCG(state->s1), 8U); | |
163 | state->s3 = __seed(LCG(state->s2), 16U); | |
164 | state->s4 = __seed(LCG(state->s3), 128U); | |
165 | } | |
166 | ||
aaa248f6 | 167 | /** |
496f2f93 | 168 | * prandom_seed - add entropy to pseudo random number generator |
aaa248f6 SH |
169 | * @seed: seed value |
170 | * | |
496f2f93 | 171 | * Add some additional seeding to the prandom pool. |
aaa248f6 | 172 | */ |
496f2f93 | 173 | void prandom_seed(u32 entropy) |
aaa248f6 | 174 | { |
61407f80 AK |
175 | int i; |
176 | /* | |
177 | * No locking on the CPUs, but then somewhat random results are, well, | |
178 | * expected. | |
179 | */ | |
180 | for_each_possible_cpu (i) { | |
181 | struct rnd_state *state = &per_cpu(net_rand_state, i); | |
a98814ce DB |
182 | |
183 | state->s1 = __seed(state->s1 ^ entropy, 2U); | |
184 | prandom_warmup(state); | |
61407f80 | 185 | } |
aaa248f6 | 186 | } |
496f2f93 | 187 | EXPORT_SYMBOL(prandom_seed); |
aaa248f6 SH |
188 | |
189 | /* | |
190 | * Generate some initially weak seeding values to allow | |
496f2f93 | 191 | * to start the prandom_u32() engine. |
aaa248f6 | 192 | */ |
496f2f93 | 193 | static int __init prandom_init(void) |
aaa248f6 SH |
194 | { |
195 | int i; | |
196 | ||
a6a9c0f1 DB |
197 | #ifdef CONFIG_RANDOM32_SELFTEST |
198 | prandom_state_selftest(); | |
199 | #endif | |
200 | ||
aaa248f6 SH |
201 | for_each_possible_cpu(i) { |
202 | struct rnd_state *state = &per_cpu(net_rand_state,i); | |
697f8d03 | 203 | |
a6a9c0f1 | 204 | prandom_seed_very_weak(state, (i + jiffies) ^ random_get_entropy()); |
a98814ce | 205 | prandom_warmup(state); |
aaa248f6 SH |
206 | } |
207 | return 0; | |
208 | } | |
496f2f93 | 209 | core_initcall(prandom_init); |
aaa248f6 | 210 | |
6d319202 HFS |
211 | static void __prandom_timer(unsigned long dontcare); |
212 | static DEFINE_TIMER(seed_timer, __prandom_timer, 0, 0); | |
213 | ||
214 | static void __prandom_timer(unsigned long dontcare) | |
215 | { | |
216 | u32 entropy; | |
217 | ||
218 | get_random_bytes(&entropy, sizeof(entropy)); | |
219 | prandom_seed(entropy); | |
220 | /* reseed every ~60 seconds, in [40 .. 80) interval with slack */ | |
221 | seed_timer.expires = jiffies + (40 * HZ + (prandom_u32() % (40 * HZ))); | |
222 | add_timer(&seed_timer); | |
223 | } | |
224 | ||
66b25142 | 225 | static void __init __prandom_start_seed_timer(void) |
6d319202 HFS |
226 | { |
227 | set_timer_slack(&seed_timer, HZ); | |
228 | seed_timer.expires = jiffies + 40 * HZ; | |
229 | add_timer(&seed_timer); | |
230 | } | |
231 | ||
aaa248f6 SH |
232 | /* |
233 | * Generate better values after random number generator | |
421f91d2 | 234 | * is fully initialized. |
aaa248f6 | 235 | */ |
4af712e8 | 236 | static void __prandom_reseed(bool late) |
aaa248f6 SH |
237 | { |
238 | int i; | |
4af712e8 HFS |
239 | unsigned long flags; |
240 | static bool latch = false; | |
241 | static DEFINE_SPINLOCK(lock); | |
242 | ||
243 | /* only allow initial seeding (late == false) once */ | |
244 | spin_lock_irqsave(&lock, flags); | |
245 | if (latch && !late) | |
246 | goto out; | |
247 | latch = true; | |
aaa248f6 SH |
248 | |
249 | for_each_possible_cpu(i) { | |
250 | struct rnd_state *state = &per_cpu(net_rand_state,i); | |
a98814ce | 251 | u32 seeds[4]; |
697f8d03 SH |
252 | |
253 | get_random_bytes(&seeds, sizeof(seeds)); | |
a98814ce DB |
254 | state->s1 = __seed(seeds[0], 2U); |
255 | state->s2 = __seed(seeds[1], 8U); | |
256 | state->s3 = __seed(seeds[2], 16U); | |
257 | state->s4 = __seed(seeds[3], 128U); | |
aaa248f6 | 258 | |
a98814ce | 259 | prandom_warmup(state); |
aaa248f6 | 260 | } |
4af712e8 HFS |
261 | out: |
262 | spin_unlock_irqrestore(&lock, flags); | |
263 | } | |
264 | ||
265 | void prandom_reseed_late(void) | |
266 | { | |
267 | __prandom_reseed(true); | |
268 | } | |
269 | ||
270 | static int __init prandom_reseed(void) | |
271 | { | |
272 | __prandom_reseed(false); | |
66b25142 | 273 | __prandom_start_seed_timer(); |
aaa248f6 SH |
274 | return 0; |
275 | } | |
496f2f93 | 276 | late_initcall(prandom_reseed); |
a6a9c0f1 DB |
277 | |
278 | #ifdef CONFIG_RANDOM32_SELFTEST | |
279 | static struct prandom_test1 { | |
280 | u32 seed; | |
281 | u32 result; | |
282 | } test1[] = { | |
283 | { 1U, 3484351685U }, | |
284 | { 2U, 2623130059U }, | |
285 | { 3U, 3125133893U }, | |
286 | { 4U, 984847254U }, | |
287 | }; | |
288 | ||
289 | static struct prandom_test2 { | |
290 | u32 seed; | |
291 | u32 iteration; | |
292 | u32 result; | |
293 | } test2[] = { | |
294 | /* Test cases against taus113 from GSL library. */ | |
295 | { 931557656U, 959U, 2975593782U }, | |
296 | { 1339693295U, 876U, 3887776532U }, | |
297 | { 1545556285U, 961U, 1615538833U }, | |
298 | { 601730776U, 723U, 1776162651U }, | |
299 | { 1027516047U, 687U, 511983079U }, | |
300 | { 416526298U, 700U, 916156552U }, | |
301 | { 1395522032U, 652U, 2222063676U }, | |
302 | { 366221443U, 617U, 2992857763U }, | |
303 | { 1539836965U, 714U, 3783265725U }, | |
304 | { 556206671U, 994U, 799626459U }, | |
305 | { 684907218U, 799U, 367789491U }, | |
306 | { 2121230701U, 931U, 2115467001U }, | |
307 | { 1668516451U, 644U, 3620590685U }, | |
308 | { 768046066U, 883U, 2034077390U }, | |
309 | { 1989159136U, 833U, 1195767305U }, | |
310 | { 536585145U, 996U, 3577259204U }, | |
311 | { 1008129373U, 642U, 1478080776U }, | |
312 | { 1740775604U, 939U, 1264980372U }, | |
313 | { 1967883163U, 508U, 10734624U }, | |
314 | { 1923019697U, 730U, 3821419629U }, | |
315 | { 442079932U, 560U, 3440032343U }, | |
316 | { 1961302714U, 845U, 841962572U }, | |
317 | { 2030205964U, 962U, 1325144227U }, | |
318 | { 1160407529U, 507U, 240940858U }, | |
319 | { 635482502U, 779U, 4200489746U }, | |
320 | { 1252788931U, 699U, 867195434U }, | |
321 | { 1961817131U, 719U, 668237657U }, | |
322 | { 1071468216U, 983U, 917876630U }, | |
323 | { 1281848367U, 932U, 1003100039U }, | |
324 | { 582537119U, 780U, 1127273778U }, | |
325 | { 1973672777U, 853U, 1071368872U }, | |
326 | { 1896756996U, 762U, 1127851055U }, | |
327 | { 847917054U, 500U, 1717499075U }, | |
328 | { 1240520510U, 951U, 2849576657U }, | |
329 | { 1685071682U, 567U, 1961810396U }, | |
330 | { 1516232129U, 557U, 3173877U }, | |
331 | { 1208118903U, 612U, 1613145022U }, | |
332 | { 1817269927U, 693U, 4279122573U }, | |
333 | { 1510091701U, 717U, 638191229U }, | |
334 | { 365916850U, 807U, 600424314U }, | |
335 | { 399324359U, 702U, 1803598116U }, | |
336 | { 1318480274U, 779U, 2074237022U }, | |
337 | { 697758115U, 840U, 1483639402U }, | |
338 | { 1696507773U, 840U, 577415447U }, | |
339 | { 2081979121U, 981U, 3041486449U }, | |
340 | { 955646687U, 742U, 3846494357U }, | |
341 | { 1250683506U, 749U, 836419859U }, | |
342 | { 595003102U, 534U, 366794109U }, | |
343 | { 47485338U, 558U, 3521120834U }, | |
344 | { 619433479U, 610U, 3991783875U }, | |
345 | { 704096520U, 518U, 4139493852U }, | |
346 | { 1712224984U, 606U, 2393312003U }, | |
347 | { 1318233152U, 922U, 3880361134U }, | |
348 | { 855572992U, 761U, 1472974787U }, | |
349 | { 64721421U, 703U, 683860550U }, | |
350 | { 678931758U, 840U, 380616043U }, | |
351 | { 692711973U, 778U, 1382361947U }, | |
352 | { 677703619U, 530U, 2826914161U }, | |
353 | { 92393223U, 586U, 1522128471U }, | |
354 | { 1222592920U, 743U, 3466726667U }, | |
355 | { 358288986U, 695U, 1091956998U }, | |
356 | { 1935056945U, 958U, 514864477U }, | |
357 | { 735675993U, 990U, 1294239989U }, | |
358 | { 1560089402U, 897U, 2238551287U }, | |
359 | { 70616361U, 829U, 22483098U }, | |
360 | { 368234700U, 731U, 2913875084U }, | |
361 | { 20221190U, 879U, 1564152970U }, | |
362 | { 539444654U, 682U, 1835141259U }, | |
363 | { 1314987297U, 840U, 1801114136U }, | |
364 | { 2019295544U, 645U, 3286438930U }, | |
365 | { 469023838U, 716U, 1637918202U }, | |
366 | { 1843754496U, 653U, 2562092152U }, | |
367 | { 400672036U, 809U, 4264212785U }, | |
368 | { 404722249U, 965U, 2704116999U }, | |
369 | { 600702209U, 758U, 584979986U }, | |
370 | { 519953954U, 667U, 2574436237U }, | |
371 | { 1658071126U, 694U, 2214569490U }, | |
372 | { 420480037U, 749U, 3430010866U }, | |
373 | { 690103647U, 969U, 3700758083U }, | |
374 | { 1029424799U, 937U, 3787746841U }, | |
375 | { 2012608669U, 506U, 3362628973U }, | |
376 | { 1535432887U, 998U, 42610943U }, | |
377 | { 1330635533U, 857U, 3040806504U }, | |
378 | { 1223800550U, 539U, 3954229517U }, | |
379 | { 1322411537U, 680U, 3223250324U }, | |
380 | { 1877847898U, 945U, 2915147143U }, | |
381 | { 1646356099U, 874U, 965988280U }, | |
382 | { 805687536U, 744U, 4032277920U }, | |
383 | { 1948093210U, 633U, 1346597684U }, | |
384 | { 392609744U, 783U, 1636083295U }, | |
385 | { 690241304U, 770U, 1201031298U }, | |
386 | { 1360302965U, 696U, 1665394461U }, | |
387 | { 1220090946U, 780U, 1316922812U }, | |
388 | { 447092251U, 500U, 3438743375U }, | |
389 | { 1613868791U, 592U, 828546883U }, | |
390 | { 523430951U, 548U, 2552392304U }, | |
391 | { 726692899U, 810U, 1656872867U }, | |
392 | { 1364340021U, 836U, 3710513486U }, | |
393 | { 1986257729U, 931U, 935013962U }, | |
394 | { 407983964U, 921U, 728767059U }, | |
395 | }; | |
396 | ||
397 | static void __init prandom_state_selftest(void) | |
398 | { | |
399 | int i, j, errors = 0, runs = 0; | |
400 | bool error = false; | |
401 | ||
402 | for (i = 0; i < ARRAY_SIZE(test1); i++) { | |
403 | struct rnd_state state; | |
404 | ||
405 | prandom_seed_very_weak(&state, test1[i].seed); | |
406 | prandom_warmup(&state); | |
407 | ||
408 | if (test1[i].result != prandom_u32_state(&state)) | |
409 | error = true; | |
410 | } | |
411 | ||
412 | if (error) | |
413 | pr_warn("prandom: seed boundary self test failed\n"); | |
414 | else | |
415 | pr_info("prandom: seed boundary self test passed\n"); | |
416 | ||
417 | for (i = 0; i < ARRAY_SIZE(test2); i++) { | |
418 | struct rnd_state state; | |
419 | ||
420 | prandom_seed_very_weak(&state, test2[i].seed); | |
421 | prandom_warmup(&state); | |
422 | ||
423 | for (j = 0; j < test2[i].iteration - 1; j++) | |
424 | prandom_u32_state(&state); | |
425 | ||
426 | if (test2[i].result != prandom_u32_state(&state)) | |
427 | errors++; | |
428 | ||
429 | runs++; | |
430 | cond_resched(); | |
431 | } | |
432 | ||
433 | if (errors) | |
434 | pr_warn("prandom: %d/%d self tests failed\n", errors, runs); | |
435 | else | |
436 | pr_info("prandom: %d self tests passed\n", runs); | |
437 | } | |
438 | #endif |