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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 | /* * This is a maximally equidistributed combined Tausworthe generator * based on code from GNU Scientific Library 1.5 (30 Jun 2004) * * lfsr113 version: * * x_n = (s1_n ^ s2_n ^ s3_n ^ s4_n) * * s1_{n+1} = (((s1_n & 4294967294) << 18) ^ (((s1_n << 6) ^ s1_n) >> 13)) * s2_{n+1} = (((s2_n & 4294967288) << 2) ^ (((s2_n << 2) ^ s2_n) >> 27)) * s3_{n+1} = (((s3_n & 4294967280) << 7) ^ (((s3_n << 13) ^ s3_n) >> 21)) * s4_{n+1} = (((s4_n & 4294967168) << 13) ^ (((s4_n << 3) ^ s4_n) >> 12)) * * The period of this generator is about 2^113 (see erratum paper). * * From: P. L'Ecuyer, "Maximally Equidistributed Combined Tausworthe * Generators", Mathematics of Computation, 65, 213 (1996), 203--213: * http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme.ps * ftp://ftp.iro.umontreal.ca/pub/simulation/lecuyer/papers/tausme.ps * * There is an erratum in the paper "Tables of Maximally Equidistributed * Combined LFSR Generators", Mathematics of Computation, 68, 225 (1999), * 261--269: http://www.iro.umontreal.ca/~lecuyer/myftp/papers/tausme2.ps * * ... the k_j most significant bits of z_j must be non-zero, * for each j. (Note: this restriction also applies to the * computer code given in [4], but was mistakenly not mentioned * in that paper.) * * This affects the seeding procedure by imposing the requirement * s1 > 1, s2 > 7, s3 > 15, s4 > 127. */ #include <linux/types.h> #include <linux/percpu.h> #include <linux/export.h> #include <linux/jiffies.h> #include <linux/random.h> #include <linux/sched.h> #include <linux/bitops.h> #include <linux/slab.h> #include <linux/notifier.h> #include <asm/unaligned.h> /** * prandom_u32_state - seeded pseudo-random number generator. * @state: pointer to state structure holding seeded state. * * This is used for pseudo-randomness with no outside seeding. * For more random results, use prandom_u32(). */ u32 prandom_u32_state(struct rnd_state *state) { #define TAUSWORTHE(s, a, b, c, d) ((s & c) << d) ^ (((s << a) ^ s) >> b) state->s1 = TAUSWORTHE(state->s1, 6U, 13U, 4294967294U, 18U); state->s2 = TAUSWORTHE(state->s2, 2U, 27U, 4294967288U, 2U); state->s3 = TAUSWORTHE(state->s3, 13U, 21U, 4294967280U, 7U); state->s4 = TAUSWORTHE(state->s4, 3U, 12U, 4294967168U, 13U); return (state->s1 ^ state->s2 ^ state->s3 ^ state->s4); } EXPORT_SYMBOL(prandom_u32_state); /** * prandom_bytes_state - get the requested number of pseudo-random bytes * * @state: pointer to state structure holding seeded state. * @buf: where to copy the pseudo-random bytes to * @bytes: the requested number of bytes * * This is used for pseudo-randomness with no outside seeding. * For more random results, use prandom_bytes(). */ void prandom_bytes_state(struct rnd_state *state, void *buf, size_t bytes) { u8 *ptr = buf; while (bytes >= sizeof(u32)) { put_unaligned(prandom_u32_state(state), (u32 *) ptr); ptr += sizeof(u32); bytes -= sizeof(u32); } if (bytes > 0) { u32 rem = prandom_u32_state(state); do { *ptr++ = (u8) rem; bytes--; rem >>= BITS_PER_BYTE; } while (bytes > 0); } } EXPORT_SYMBOL(prandom_bytes_state); static void prandom_warmup(struct rnd_state *state) { /* Calling RNG ten times to satisfy recurrence condition */ prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); prandom_u32_state(state); } void prandom_seed_full_state(struct rnd_state __percpu *pcpu_state) { int i; for_each_possible_cpu(i) { struct rnd_state *state = per_cpu_ptr(pcpu_state, i); u32 seeds[4]; get_random_bytes(&seeds, sizeof(seeds)); state->s1 = __seed(seeds[0], 2U); state->s2 = __seed(seeds[1], 8U); state->s3 = __seed(seeds[2], 16U); state->s4 = __seed(seeds[3], 128U); prandom_warmup(state); } } EXPORT_SYMBOL(prandom_seed_full_state); #ifdef CONFIG_RANDOM32_SELFTEST static struct prandom_test1 { u32 seed; u32 result; } test1[] = { { 1U, 3484351685U }, { 2U, 2623130059U }, { 3U, 3125133893U }, { 4U, 984847254U }, }; static struct prandom_test2 { u32 seed; u32 iteration; u32 result; } test2[] = { /* Test cases against taus113 from GSL library. */ { 931557656U, 959U, 2975593782U }, { 1339693295U, 876U, 3887776532U }, { 1545556285U, 961U, 1615538833U }, { 601730776U, 723U, 1776162651U }, { 1027516047U, 687U, 511983079U }, { 416526298U, 700U, 916156552U }, { 1395522032U, 652U, 2222063676U }, { 366221443U, 617U, 2992857763U }, { 1539836965U, 714U, 3783265725U }, { 556206671U, 994U, 799626459U }, { 684907218U, 799U, 367789491U }, { 2121230701U, 931U, 2115467001U }, { 1668516451U, 644U, 3620590685U }, { 768046066U, 883U, 2034077390U }, { 1989159136U, 833U, 1195767305U }, { 536585145U, 996U, 3577259204U }, { 1008129373U, 642U, 1478080776U }, { 1740775604U, 939U, 1264980372U }, { 1967883163U, 508U, 10734624U }, { 1923019697U, 730U, 3821419629U }, { 442079932U, 560U, 3440032343U }, { 1961302714U, 845U, 841962572U }, { 2030205964U, 962U, 1325144227U }, { 1160407529U, 507U, 240940858U }, { 635482502U, 779U, 4200489746U }, { 1252788931U, 699U, 867195434U }, { 1961817131U, 719U, 668237657U }, { 1071468216U, 983U, 917876630U }, { 1281848367U, 932U, 1003100039U }, { 582537119U, 780U, 1127273778U }, { 1973672777U, 853U, 1071368872U }, { 1896756996U, 762U, 1127851055U }, { 847917054U, 500U, 1717499075U }, { 1240520510U, 951U, 2849576657U }, { 1685071682U, 567U, 1961810396U }, { 1516232129U, 557U, 3173877U }, { 1208118903U, 612U, 1613145022U }, { 1817269927U, 693U, 4279122573U }, { 1510091701U, 717U, 638191229U }, { 365916850U, 807U, 600424314U }, { 399324359U, 702U, 1803598116U }, { 1318480274U, 779U, 2074237022U }, { 697758115U, 840U, 1483639402U }, { 1696507773U, 840U, 577415447U }, { 2081979121U, 981U, 3041486449U }, { 955646687U, 742U, 3846494357U }, { 1250683506U, 749U, 836419859U }, { 595003102U, 534U, 366794109U }, { 47485338U, 558U, 3521120834U }, { 619433479U, 610U, 3991783875U }, { 704096520U, 518U, 4139493852U }, { 1712224984U, 606U, 2393312003U }, { 1318233152U, 922U, 3880361134U }, { 855572992U, 761U, 1472974787U }, { 64721421U, 703U, 683860550U }, { 678931758U, 840U, 380616043U }, { 692711973U, 778U, 1382361947U }, { 677703619U, 530U, 2826914161U }, { 92393223U, 586U, 1522128471U }, { 1222592920U, 743U, 3466726667U }, { 358288986U, 695U, 1091956998U }, { 1935056945U, 958U, 514864477U }, { 735675993U, 990U, 1294239989U }, { 1560089402U, 897U, 2238551287U }, { 70616361U, 829U, 22483098U }, { 368234700U, 731U, 2913875084U }, { 20221190U, 879U, 1564152970U }, { 539444654U, 682U, 1835141259U }, { 1314987297U, 840U, 1801114136U }, { 2019295544U, 645U, 3286438930U }, { 469023838U, 716U, 1637918202U }, { 1843754496U, 653U, 2562092152U }, { 400672036U, 809U, 4264212785U }, { 404722249U, 965U, 2704116999U }, { 600702209U, 758U, 584979986U }, { 519953954U, 667U, 2574436237U }, { 1658071126U, 694U, 2214569490U }, { 420480037U, 749U, 3430010866U }, { 690103647U, 969U, 3700758083U }, { 1029424799U, 937U, 3787746841U }, { 2012608669U, 506U, 3362628973U }, { 1535432887U, 998U, 42610943U }, { 1330635533U, 857U, 3040806504U }, { 1223800550U, 539U, 3954229517U }, { 1322411537U, 680U, 3223250324U }, { 1877847898U, 945U, 2915147143U }, { 1646356099U, 874U, 965988280U }, { 805687536U, 744U, 4032277920U }, { 1948093210U, 633U, 1346597684U }, { 392609744U, 783U, 1636083295U }, { 690241304U, 770U, 1201031298U }, { 1360302965U, 696U, 1665394461U }, { 1220090946U, 780U, 1316922812U }, { 447092251U, 500U, 3438743375U }, { 1613868791U, 592U, 828546883U }, { 523430951U, 548U, 2552392304U }, { 726692899U, 810U, 1656872867U }, { 1364340021U, 836U, 3710513486U }, { 1986257729U, 931U, 935013962U }, { 407983964U, 921U, 728767059U }, }; static u32 __extract_hwseed(void) { unsigned int val = 0; (void)(arch_get_random_seed_int(&val) || arch_get_random_int(&val)); return val; } static void prandom_seed_early(struct rnd_state *state, u32 seed, bool mix_with_hwseed) { #define LCG(x) ((x) * 69069U) /* super-duper LCG */ #define HWSEED() (mix_with_hwseed ? __extract_hwseed() : 0) state->s1 = __seed(HWSEED() ^ LCG(seed), 2U); state->s2 = __seed(HWSEED() ^ LCG(state->s1), 8U); state->s3 = __seed(HWSEED() ^ LCG(state->s2), 16U); state->s4 = __seed(HWSEED() ^ LCG(state->s3), 128U); } static int __init prandom_state_selftest(void) { int i, j, errors = 0, runs = 0; bool error = false; for (i = 0; i < ARRAY_SIZE(test1); i++) { struct rnd_state state; prandom_seed_early(&state, test1[i].seed, false); prandom_warmup(&state); if (test1[i].result != prandom_u32_state(&state)) error = true; } if (error) pr_warn("prandom: seed boundary self test failed\n"); else pr_info("prandom: seed boundary self test passed\n"); for (i = 0; i < ARRAY_SIZE(test2); i++) { struct rnd_state state; prandom_seed_early(&state, test2[i].seed, false); prandom_warmup(&state); for (j = 0; j < test2[i].iteration - 1; j++) prandom_u32_state(&state); if (test2[i].result != prandom_u32_state(&state)) errors++; runs++; cond_resched(); } if (errors) pr_warn("prandom: %d/%d self tests failed\n", errors, runs); else pr_info("prandom: %d self tests passed\n", runs); return 0; } core_initcall(prandom_state_selftest); #endif /* * The prandom_u32() implementation is now completely separate from the * prandom_state() functions, which are retained (for now) for compatibility. * * Because of (ab)use in the networking code for choosing random TCP/UDP port * numbers, which open DoS possibilities if guessable, we want something * stronger than a standard PRNG. But the performance requirements of * the network code do not allow robust crypto for this application. * * So this is a homebrew Junior Spaceman implementation, based on the * lowest-latency trustworthy crypto primitive available, SipHash. * (The authors of SipHash have not been consulted about this abuse of * their work.) * * Standard SipHash-2-4 uses 2n+4 rounds to hash n words of input to * one word of output. This abbreviated version uses 2 rounds per word * of output. */ struct siprand_state { unsigned long v0; unsigned long v1; unsigned long v2; unsigned long v3; }; static DEFINE_PER_CPU(struct siprand_state, net_rand_state) __latent_entropy; /* * This is the core CPRNG function. As "pseudorandom", this is not used * for truly valuable things, just intended to be a PITA to guess. * For maximum speed, we do just two SipHash rounds per word. This is * the same rate as 4 rounds per 64 bits that SipHash normally uses, * so hopefully it's reasonably secure. * * There are two changes from the official SipHash finalization: * - We omit some constants XORed with v2 in the SipHash spec as irrelevant; * they are there only to make the output rounds distinct from the input * rounds, and this application has no input rounds. * - Rather than returning v0^v1^v2^v3, return v1+v3. * If you look at the SipHash round, the last operation on v3 is * "v3 ^= v0", so "v0 ^ v3" just undoes that, a waste of time. * Likewise "v1 ^= v2". (The rotate of v2 makes a difference, but * it still cancels out half of the bits in v2 for no benefit.) * Second, since the last combining operation was xor, continue the * pattern of alternating xor/add for a tiny bit of extra non-linearity. */ static inline u32 siprand_u32(struct siprand_state *s) { unsigned long v0 = s->v0, v1 = s->v1, v2 = s->v2, v3 = s->v3; PRND_SIPROUND(v0, v1, v2, v3); PRND_SIPROUND(v0, v1, v2, v3); s->v0 = v0; s->v1 = v1; s->v2 = v2; s->v3 = v3; return v1 + v3; } /** * prandom_u32 - pseudo random number generator * * A 32 bit pseudo-random number is generated using a fast * algorithm suitable for simulation. This algorithm is NOT * considered safe for cryptographic use. */ u32 prandom_u32(void) { struct siprand_state *state = get_cpu_ptr(&net_rand_state); u32 res = siprand_u32(state); put_cpu_ptr(&net_rand_state); return res; } EXPORT_SYMBOL(prandom_u32); /** * prandom_bytes - get the requested number of pseudo-random bytes * @buf: where to copy the pseudo-random bytes to * @bytes: the requested number of bytes */ void prandom_bytes(void *buf, size_t bytes) { struct siprand_state *state = get_cpu_ptr(&net_rand_state); u8 *ptr = buf; while (bytes >= sizeof(u32)) { put_unaligned(siprand_u32(state), (u32 *)ptr); ptr += sizeof(u32); bytes -= sizeof(u32); } if (bytes > 0) { u32 rem = siprand_u32(state); do { *ptr++ = (u8)rem; rem >>= BITS_PER_BYTE; } while (--bytes > 0); } put_cpu_ptr(&net_rand_state); } EXPORT_SYMBOL(prandom_bytes); /** * prandom_seed - add entropy to pseudo random number generator * @entropy: entropy value * * Add some additional seed material to the prandom pool. * The "entropy" is actually our IP address (the only caller is * the network code), not for unpredictability, but to ensure that * different machines are initialized differently. */ void prandom_seed(u32 entropy) { int i; add_device_randomness(&entropy, sizeof(entropy)); for_each_possible_cpu(i) { struct siprand_state *state = per_cpu_ptr(&net_rand_state, i); unsigned long v0 = state->v0, v1 = state->v1; unsigned long v2 = state->v2, v3 = state->v3; do { v3 ^= entropy; PRND_SIPROUND(v0, v1, v2, v3); PRND_SIPROUND(v0, v1, v2, v3); v0 ^= entropy; } while (unlikely(!v0 || !v1 || !v2 || !v3)); WRITE_ONCE(state->v0, v0); WRITE_ONCE(state->v1, v1); WRITE_ONCE(state->v2, v2); WRITE_ONCE(state->v3, v3); } } EXPORT_SYMBOL(prandom_seed); /* * Generate some initially weak seeding values to allow * the prandom_u32() engine to be started. */ static int __init prandom_init_early(void) { int i; unsigned long v0, v1, v2, v3; if (!arch_get_random_long(&v0)) v0 = jiffies; if (!arch_get_random_long(&v1)) v1 = random_get_entropy(); v2 = v0 ^ PRND_K0; v3 = v1 ^ PRND_K1; for_each_possible_cpu(i) { struct siprand_state *state; v3 ^= i; PRND_SIPROUND(v0, v1, v2, v3); PRND_SIPROUND(v0, v1, v2, v3); v0 ^= i; state = per_cpu_ptr(&net_rand_state, i); state->v0 = v0; state->v1 = v1; state->v2 = v2; state->v3 = v3; } return 0; } core_initcall(prandom_init_early); /* Stronger reseeding when available, and periodically thereafter. */ static void prandom_reseed(unsigned long dontcare); static DEFINE_TIMER(seed_timer, prandom_reseed, 0, 0); static void prandom_reseed(unsigned long dontcare) { unsigned long expires; int i; /* * Reinitialize each CPU's PRNG with 128 bits of key. * No locking on the CPUs, but then somewhat random results are, * well, expected. */ for_each_possible_cpu(i) { struct siprand_state *state; unsigned long v0 = get_random_long(), v2 = v0 ^ PRND_K0; unsigned long v1 = get_random_long(), v3 = v1 ^ PRND_K1; #if BITS_PER_LONG == 32 int j; /* * On 32-bit machines, hash in two extra words to * approximate 128-bit key length. Not that the hash * has that much security, but this prevents a trivial * 64-bit brute force. */ for (j = 0; j < 2; j++) { unsigned long m = get_random_long(); v3 ^= m; PRND_SIPROUND(v0, v1, v2, v3); PRND_SIPROUND(v0, v1, v2, v3); v0 ^= m; } #endif /* * Probably impossible in practice, but there is a * theoretical risk that a race between this reseeding * and the target CPU writing its state back could * create the all-zero SipHash fixed point. * * To ensure that never happens, ensure the state * we write contains no zero words. */ state = per_cpu_ptr(&net_rand_state, i); WRITE_ONCE(state->v0, v0 ? v0 : -1ul); WRITE_ONCE(state->v1, v1 ? v1 : -1ul); WRITE_ONCE(state->v2, v2 ? v2 : -1ul); WRITE_ONCE(state->v3, v3 ? v3 : -1ul); } /* reseed every ~60 seconds, in [40 .. 80) interval with slack */ expires = round_jiffies(jiffies + 40 * HZ + prandom_u32_max(40 * HZ)); mod_timer(&seed_timer, expires); } /* * The random ready callback can be called from almost any interrupt. * To avoid worrying about whether it's safe to delay that interrupt * long enough to seed all CPUs, just schedule an immediate timer event. */ static int prandom_timer_start(struct notifier_block *nb, unsigned long action, void *data) { mod_timer(&seed_timer, jiffies); return 0; } /* * Start periodic full reseeding as soon as strong * random numbers are available. */ static int __init prandom_init_late(void) { static struct notifier_block random_ready = { .notifier_call = prandom_timer_start }; int ret = register_random_ready_notifier(&random_ready); if (ret == -EALREADY) { prandom_timer_start(&random_ready, 0, NULL); ret = 0; } return ret; } late_initcall(prandom_init_late); |