lib/random32.c

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