diff options
Diffstat (limited to 'lib/random32.c')
| -rw-r--r-- | lib/random32.c | 311 |
1 files changed, 277 insertions, 34 deletions
diff --git a/lib/random32.c b/lib/random32.c index 52280d5526be..1e5b2df44291 100644 --- a/lib/random32.c +++ b/lib/random32.c | |||
| @@ -2,19 +2,19 @@ | |||
| 2 | This is a maximally equidistributed combined Tausworthe generator | 2 | This is a maximally equidistributed combined Tausworthe generator |
| 3 | based on code from GNU Scientific Library 1.5 (30 Jun 2004) | 3 | based on code from GNU Scientific Library 1.5 (30 Jun 2004) |
| 4 | 4 | ||
| 5 | x_n = (s1_n ^ s2_n ^ s3_n) | 5 | lfsr113 version: |
| 6 | 6 | ||
| 7 | s1_{n+1} = (((s1_n & 4294967294) <<12) ^ (((s1_n <<13) ^ s1_n) >>19)) | 7 | x_n = (s1_n ^ s2_n ^ s3_n ^ s4_n) |
| 8 | s2_{n+1} = (((s2_n & 4294967288) << 4) ^ (((s2_n << 2) ^ s2_n) >>25)) | ||
| 9 | s3_{n+1} = (((s3_n & 4294967280) <<17) ^ (((s3_n << 3) ^ s3_n) >>11)) | ||
| 10 | 8 | ||
| 11 | The period of this generator is about 2^88. | 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)) | ||
| 12 | 13 | ||
| 13 | From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe | 14 | The period of this generator is about 2^113 (see erratum paper). |
| 14 | Generators", Mathematics of Computation, 65, 213 (1996), 203--213. | ||
| 15 | |||
| 16 | This is available on the net from L'Ecuyer's home page, | ||
| 17 | 15 | ||
| 16 | From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe | ||
| 17 | Generators", Mathematics of Computation, 65, 213 (1996), 203--213: | ||
| 18 | http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps | 18 | http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps |
| 19 | ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps | 19 | ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps |
| 20 | 20 | ||
| @@ -29,7 +29,7 @@ | |||
| 29 | that paper.) | 29 | that paper.) |
| 30 | 30 | ||
| 31 | This affects the seeding procedure by imposing the requirement | 31 | This affects the seeding procedure by imposing the requirement |
| 32 | s1 > 1, s2 > 7, s3 > 15. | 32 | s1 > 1, s2 > 7, s3 > 15, s4 > 127. |
| 33 | 33 | ||
| 34 | */ | 34 | */ |
| 35 | 35 | ||
| @@ -38,6 +38,11 @@ | |||
| 38 | #include <linux/export.h> | 38 | #include <linux/export.h> |
| 39 | #include <linux/jiffies.h> | 39 | #include <linux/jiffies.h> |
| 40 | #include <linux/random.h> | 40 | #include <linux/random.h> |
| 41 | #include <linux/sched.h> | ||
| 42 | |||
| 43 | #ifdef CONFIG_RANDOM32_SELFTEST | ||
| 44 | static void __init prandom_state_selftest(void); | ||
| 45 | #endif | ||
| 41 | 46 | ||
| 42 | static DEFINE_PER_CPU(struct rnd_state, net_rand_state); | 47 | static DEFINE_PER_CPU(struct rnd_state, net_rand_state); |
| 43 | 48 | ||
| @@ -52,11 +57,12 @@ u32 prandom_u32_state(struct rnd_state *state) | |||
| 52 | { | 57 | { |
| 53 | #define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b) | 58 | #define TAUSWORTHE(s,a,b,c,d) ((s&c)<<d) ^ (((s <<a) ^ s)>>b) |
| 54 | 59 | ||
| 55 | state->s1 = TAUSWORTHE(state->s1, 13, 19, 4294967294UL, 12); | 60 | state->s1 = TAUSWORTHE(state->s1, 6U, 13U, 4294967294U, 18U); |
| 56 | state->s2 = TAUSWORTHE(state->s2, 2, 25, 4294967288UL, 4); | 61 | state->s2 = TAUSWORTHE(state->s2, 2U, 27U, 4294967288U, 2U); |
| 57 | state->s3 = TAUSWORTHE(state->s3, 3, 11, 4294967280UL, 17); | 62 | state->s3 = TAUSWORTHE(state->s3, 13U, 21U, 4294967280U, 7U); |
| 63 | state->s4 = TAUSWORTHE(state->s4, 3U, 12U, 4294967168U, 13U); | ||
| 58 | 64 | ||
| 59 | return (state->s1 ^ state->s2 ^ state->s3); | 65 | return (state->s1 ^ state->s2 ^ state->s3 ^ state->s4); |
| 60 | } | 66 | } |
| 61 | EXPORT_SYMBOL(prandom_u32_state); | 67 | EXPORT_SYMBOL(prandom_u32_state); |
| 62 | 68 | ||
| @@ -126,6 +132,38 @@ void prandom_bytes(void *buf, int bytes) | |||
| 126 | } | 132 | } |
| 127 | EXPORT_SYMBOL(prandom_bytes); | 133 | EXPORT_SYMBOL(prandom_bytes); |
| 128 | 134 | ||
| 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 | |||
| 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 | |||
| 129 | /** | 167 | /** |
| 130 | * prandom_seed - add entropy to pseudo random number generator | 168 | * prandom_seed - add entropy to pseudo random number generator |
| 131 | * @seed: seed value | 169 | * @seed: seed value |
| @@ -141,7 +179,9 @@ void prandom_seed(u32 entropy) | |||
| 141 | */ | 179 | */ |
| 142 | for_each_possible_cpu (i) { | 180 | for_each_possible_cpu (i) { |
| 143 | struct rnd_state *state = &per_cpu(net_rand_state, i); | 181 | struct rnd_state *state = &per_cpu(net_rand_state, i); |
| 144 | state->s1 = __seed(state->s1 ^ entropy, 1); | 182 | |
| 183 | state->s1 = __seed(state->s1 ^ entropy, 2U); | ||
| 184 | prandom_warmup(state); | ||
| 145 | } | 185 | } |
| 146 | } | 186 | } |
| 147 | EXPORT_SYMBOL(prandom_seed); | 187 | EXPORT_SYMBOL(prandom_seed); |
| @@ -154,46 +194,249 @@ static int __init prandom_init(void) | |||
| 154 | { | 194 | { |
| 155 | int i; | 195 | int i; |
| 156 | 196 | ||
| 197 | #ifdef CONFIG_RANDOM32_SELFTEST | ||
| 198 | prandom_state_selftest(); | ||
| 199 | #endif | ||
| 200 | |||
| 157 | for_each_possible_cpu(i) { | 201 | for_each_possible_cpu(i) { |
| 158 | struct rnd_state *state = &per_cpu(net_rand_state,i); | 202 | struct rnd_state *state = &per_cpu(net_rand_state,i); |
| 159 | 203 | ||
| 160 | #define LCG(x) ((x) * 69069) /* super-duper LCG */ | 204 | prandom_seed_very_weak(state, (i + jiffies) ^ random_get_entropy()); |
| 161 | state->s1 = __seed(LCG(i + jiffies), 1); | 205 | prandom_warmup(state); |
| 162 | state->s2 = __seed(LCG(state->s1), 7); | ||
| 163 | state->s3 = __seed(LCG(state->s2), 15); | ||
| 164 | |||
| 165 | /* "warm it up" */ | ||
| 166 | prandom_u32_state(state); | ||
| 167 | prandom_u32_state(state); | ||
| 168 | prandom_u32_state(state); | ||
| 169 | prandom_u32_state(state); | ||
| 170 | prandom_u32_state(state); | ||
| 171 | prandom_u32_state(state); | ||
| 172 | } | 206 | } |
| 173 | return 0; | 207 | return 0; |
| 174 | } | 208 | } |
| 175 | core_initcall(prandom_init); | 209 | core_initcall(prandom_init); |
| 176 | 210 | ||
| 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 | unsigned long expires; | ||
| 218 | |||
| 219 | get_random_bytes(&entropy, sizeof(entropy)); | ||
| 220 | prandom_seed(entropy); | ||
| 221 | |||
| 222 | /* reseed every ~60 seconds, in [40 .. 80) interval with slack */ | ||
| 223 | expires = 40 + (prandom_u32() % 40); | ||
| 224 | seed_timer.expires = jiffies + msecs_to_jiffies(expires * MSEC_PER_SEC); | ||
| 225 | |||
| 226 | add_timer(&seed_timer); | ||
| 227 | } | ||
| 228 | |||
| 229 | static void __init __prandom_start_seed_timer(void) | ||
| 230 | { | ||
| 231 | set_timer_slack(&seed_timer, HZ); | ||
| 232 | seed_timer.expires = jiffies + msecs_to_jiffies(40 * MSEC_PER_SEC); | ||
| 233 | add_timer(&seed_timer); | ||
| 234 | } | ||
| 235 | |||
| 177 | /* | 236 | /* |
| 178 | * Generate better values after random number generator | 237 | * Generate better values after random number generator |
| 179 | * is fully initialized. | 238 | * is fully initialized. |
| 180 | */ | 239 | */ |
| 181 | static int __init prandom_reseed(void) | 240 | static void __prandom_reseed(bool late) |
| 182 | { | 241 | { |
| 183 | int i; | 242 | int i; |
| 243 | unsigned long flags; | ||
| 244 | static bool latch = false; | ||
| 245 | static DEFINE_SPINLOCK(lock); | ||
| 246 | |||
| 247 | /* only allow initial seeding (late == false) once */ | ||
| 248 | spin_lock_irqsave(&lock, flags); | ||
| 249 | if (latch && !late) | ||
| 250 | goto out; | ||
| 251 | latch = true; | ||
| 184 | 252 | ||
| 185 | for_each_possible_cpu(i) { | 253 | for_each_possible_cpu(i) { |
| 186 | struct rnd_state *state = &per_cpu(net_rand_state,i); | 254 | struct rnd_state *state = &per_cpu(net_rand_state,i); |
| 187 | u32 seeds[3]; | 255 | u32 seeds[4]; |
| 188 | 256 | ||
| 189 | get_random_bytes(&seeds, sizeof(seeds)); | 257 | get_random_bytes(&seeds, sizeof(seeds)); |
| 190 | state->s1 = __seed(seeds[0], 1); | 258 | state->s1 = __seed(seeds[0], 2U); |
| 191 | state->s2 = __seed(seeds[1], 7); | 259 | state->s2 = __seed(seeds[1], 8U); |
| 192 | state->s3 = __seed(seeds[2], 15); | 260 | state->s3 = __seed(seeds[2], 16U); |
| 261 | state->s4 = __seed(seeds[3], 128U); | ||
| 193 | 262 | ||
| 194 | /* mix it in */ | 263 | prandom_warmup(state); |
| 195 | prandom_u32_state(state); | ||
| 196 | } | 264 | } |
| 265 | out: | ||
| 266 | spin_unlock_irqrestore(&lock, flags); | ||
| 267 | } | ||
| 268 | |||
| 269 | void prandom_reseed_late(void) | ||
| 270 | { | ||
| 271 | __prandom_reseed(true); | ||
| 272 | } | ||
| 273 | |||
| 274 | static int __init prandom_reseed(void) | ||
| 275 | { | ||
| 276 | __prandom_reseed(false); | ||
| 277 | __prandom_start_seed_timer(); | ||
| 197 | return 0; | 278 | return 0; |
| 198 | } | 279 | } |
| 199 | late_initcall(prandom_reseed); | 280 | late_initcall(prandom_reseed); |
| 281 | |||
| 282 | #ifdef CONFIG_RANDOM32_SELFTEST | ||
| 283 | static struct prandom_test1 { | ||
| 284 | u32 seed; | ||
| 285 | u32 result; | ||
| 286 | } test1[] = { | ||
| 287 | { 1U, 3484351685U }, | ||
| 288 | { 2U, 2623130059U }, | ||
| 289 | { 3U, 3125133893U }, | ||
| 290 | { 4U, 984847254U }, | ||
| 291 | }; | ||
| 292 | |||
| 293 | static struct prandom_test2 { | ||
| 294 | u32 seed; | ||
| 295 | u32 iteration; | ||
| 296 | u32 result; | ||
| 297 | } test2[] = { | ||
| 298 | /* Test cases against taus113 from GSL library. */ | ||
| 299 | { 931557656U, 959U, 2975593782U }, | ||
| 300 | { 1339693295U, 876U, 3887776532U }, | ||
| 301 | { 1545556285U, 961U, 1615538833U }, | ||
| 302 | { 601730776U, 723U, 1776162651U }, | ||
| 303 | { 1027516047U, 687U, 511983079U }, | ||
| 304 | { 416526298U, 700U, 916156552U }, | ||
| 305 | { 1395522032U, 652U, 2222063676U }, | ||
| 306 | { 366221443U, 617U, 2992857763U }, | ||
| 307 | { 1539836965U, 714U, 3783265725U }, | ||
| 308 | { 556206671U, 994U, 799626459U }, | ||
| 309 | { 684907218U, 799U, 367789491U }, | ||
| 310 | { 2121230701U, 931U, 2115467001U }, | ||
| 311 | { 1668516451U, 644U, 3620590685U }, | ||
| 312 | { 768046066U, 883U, 2034077390U }, | ||
| 313 | { 1989159136U, 833U, 1195767305U }, | ||
| 314 | { 536585145U, 996U, 3577259204U }, | ||
| 315 | { 1008129373U, 642U, 1478080776U }, | ||
| 316 | { 1740775604U, 939U, 1264980372U }, | ||
| 317 | { 1967883163U, 508U, 10734624U }, | ||
| 318 | { 1923019697U, 730U, 3821419629U }, | ||
| 319 | { 442079932U, 560U, 3440032343U }, | ||
| 320 | { 1961302714U, 845U, 841962572U }, | ||
| 321 | { 2030205964U, 962U, 1325144227U }, | ||
| 322 | { 1160407529U, 507U, 240940858U }, | ||
| 323 | { 635482502U, 779U, 4200489746U }, | ||
| 324 | { 1252788931U, 699U, 867195434U }, | ||
| 325 | { 1961817131U, 719U, 668237657U }, | ||
| 326 | { 1071468216U, 983U, 917876630U }, | ||
| 327 | { 1281848367U, 932U, 1003100039U }, | ||
| 328 | { 582537119U, 780U, 1127273778U }, | ||
| 329 | { 1973672777U, 853U, 1071368872U }, | ||
| 330 | { 1896756996U, 762U, 1127851055U }, | ||
| 331 | { 847917054U, 500U, 1717499075U }, | ||
| 332 | { 1240520510U, 951U, 2849576657U }, | ||
| 333 | { 1685071682U, 567U, 1961810396U }, | ||
| 334 | { 1516232129U, 557U, 3173877U }, | ||
| 335 | { 1208118903U, 612U, 1613145022U }, | ||
| 336 | { 1817269927U, 693U, 4279122573U }, | ||
| 337 | { 1510091701U, 717U, 638191229U }, | ||
| 338 | { 365916850U, 807U, 600424314U }, | ||
| 339 | { 399324359U, 702U, 1803598116U }, | ||
| 340 | { 1318480274U, 779U, 2074237022U }, | ||
| 341 | { 697758115U, 840U, 1483639402U }, | ||
| 342 | { 1696507773U, 840U, 577415447U }, | ||
| 343 | { 2081979121U, 981U, 3041486449U }, | ||
| 344 | { 955646687U, 742U, 3846494357U }, | ||
| 345 | { 1250683506U, 749U, 836419859U }, | ||
| 346 | { 595003102U, 534U, 366794109U }, | ||
| 347 | { 47485338U, 558U, 3521120834U }, | ||
| 348 | { 619433479U, 610U, 3991783875U }, | ||
| 349 | { 704096520U, 518U, 4139493852U }, | ||
| 350 | { 1712224984U, 606U, 2393312003U }, | ||
| 351 | { 1318233152U, 922U, 3880361134U }, | ||
| 352 | { 855572992U, 761U, 1472974787U }, | ||
| 353 | { 64721421U, 703U, 683860550U }, | ||
| 354 | { 678931758U, 840U, 380616043U }, | ||
| 355 | { 692711973U, 778U, 1382361947U }, | ||
| 356 | { 677703619U, 530U, 2826914161U }, | ||
| 357 | { 92393223U, 586U, 1522128471U }, | ||
| 358 | { 1222592920U, 743U, 3466726667U }, | ||
| 359 | { 358288986U, 695U, 1091956998U }, | ||
| 360 | { 1935056945U, 958U, 514864477U }, | ||
| 361 | { 735675993U, 990U, 1294239989U }, | ||
| 362 | { 1560089402U, 897U, 2238551287U }, | ||
| 363 | { 70616361U, 829U, 22483098U }, | ||
| 364 | { 368234700U, 731U, 2913875084U }, | ||
| 365 | { 20221190U, 879U, 1564152970U }, | ||
| 366 | { 539444654U, 682U, 1835141259U }, | ||
| 367 | { 1314987297U, 840U, 1801114136U }, | ||
| 368 | { 2019295544U, 645U, 3286438930U }, | ||
| 369 | { 469023838U, 716U, 1637918202U }, | ||
| 370 | { 1843754496U, 653U, 2562092152U }, | ||
| 371 | { 400672036U, 809U, 4264212785U }, | ||
| 372 | { 404722249U, 965U, 2704116999U }, | ||
| 373 | { 600702209U, 758U, 584979986U }, | ||
| 374 | { 519953954U, 667U, 2574436237U }, | ||
| 375 | { 1658071126U, 694U, 2214569490U }, | ||
| 376 | { 420480037U, 749U, 3430010866U }, | ||
| 377 | { 690103647U, 969U, 3700758083U }, | ||
| 378 | { 1029424799U, 937U, 3787746841U }, | ||
| 379 | { 2012608669U, 506U, 3362628973U }, | ||
| 380 | { 1535432887U, 998U, 42610943U }, | ||
| 381 | { 1330635533U, 857U, 3040806504U }, | ||
| 382 | { 1223800550U, 539U, 3954229517U }, | ||
| 383 | { 1322411537U, 680U, 3223250324U }, | ||
| 384 | { 1877847898U, 945U, 2915147143U }, | ||
| 385 | { 1646356099U, 874U, 965988280U }, | ||
| 386 | { 805687536U, 744U, 4032277920U }, | ||
| 387 | { 1948093210U, 633U, 1346597684U }, | ||
| 388 | { 392609744U, 783U, 1636083295U }, | ||
| 389 | { 690241304U, 770U, 1201031298U }, | ||
| 390 | { 1360302965U, 696U, 1665394461U }, | ||
| 391 | { 1220090946U, 780U, 1316922812U }, | ||
| 392 | { 447092251U, 500U, 3438743375U }, | ||
| 393 | { 1613868791U, 592U, 828546883U }, | ||
| 394 | { 523430951U, 548U, 2552392304U }, | ||
| 395 | { 726692899U, 810U, 1656872867U }, | ||
| 396 | { 1364340021U, 836U, 3710513486U }, | ||
| 397 | { 1986257729U, 931U, 935013962U }, | ||
| 398 | { 407983964U, 921U, 728767059U }, | ||
| 399 | }; | ||
| 400 | |||
| 401 | static void __init prandom_state_selftest(void) | ||
| 402 | { | ||
| 403 | int i, j, errors = 0, runs = 0; | ||
| 404 | bool error = false; | ||
| 405 | |||
| 406 | for (i = 0; i < ARRAY_SIZE(test1); i++) { | ||
| 407 | struct rnd_state state; | ||
| 408 | |||
| 409 | prandom_seed_very_weak(&state, test1[i].seed); | ||
| 410 | prandom_warmup(&state); | ||
| 411 | |||
| 412 | if (test1[i].result != prandom_u32_state(&state)) | ||
| 413 | error = true; | ||
| 414 | } | ||
| 415 | |||
| 416 | if (error) | ||
| 417 | pr_warn("prandom: seed boundary self test failed\n"); | ||
| 418 | else | ||
| 419 | pr_info("prandom: seed boundary self test passed\n"); | ||
| 420 | |||
| 421 | for (i = 0; i < ARRAY_SIZE(test2); i++) { | ||
| 422 | struct rnd_state state; | ||
| 423 | |||
| 424 | prandom_seed_very_weak(&state, test2[i].seed); | ||
| 425 | prandom_warmup(&state); | ||
| 426 | |||
| 427 | for (j = 0; j < test2[i].iteration - 1; j++) | ||
| 428 | prandom_u32_state(&state); | ||
| 429 | |||
| 430 | if (test2[i].result != prandom_u32_state(&state)) | ||
| 431 | errors++; | ||
| 432 | |||
| 433 | runs++; | ||
| 434 | cond_resched(); | ||
| 435 | } | ||
| 436 | |||
| 437 | if (errors) | ||
| 438 | pr_warn("prandom: %d/%d self tests failed\n", errors, runs); | ||
| 439 | else | ||
| 440 | pr_info("prandom: %d self tests passed\n", runs); | ||
| 441 | } | ||
| 442 | #endif | ||
