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b2441318 | 1 | // SPDX-License-Identifier: GPL-2.0 |
aaa248f6 | 2 | /* |
d3d47eb2 DB |
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 | */ | |
aaa248f6 SH |
34 | |
35 | #include <linux/types.h> | |
36 | #include <linux/percpu.h> | |
8bc3bcc9 | 37 | #include <linux/export.h> |
f6a57033 | 38 | #include <linux/jiffies.h> |
aaa248f6 | 39 | #include <linux/random.h> |
a6a9c0f1 | 40 | #include <linux/sched.h> |
c6e169bc | 41 | #include <linux/bitops.h> |
348332e0 | 42 | #include <linux/slab.h> |
a98406e2 | 43 | #include <asm/unaligned.h> |
a6a9c0f1 | 44 | |
5960164f | 45 | /** |
496f2f93 | 46 | * prandom_u32_state - seeded pseudo-random number generator. |
5960164f JE |
47 | * @state: pointer to state structure holding seeded state. |
48 | * | |
49 | * This is used for pseudo-randomness with no outside seeding. | |
a251c17a | 50 | * For more random results, use get_random_u32(). |
5960164f | 51 | */ |
496f2f93 | 52 | u32 prandom_u32_state(struct rnd_state *state) |
aaa248f6 | 53 | { |
4ada97ab | 54 | #define TAUSWORTHE(s, a, b, c, d) ((s & c) << d) ^ (((s << a) ^ s) >> b) |
a98814ce DB |
55 | state->s1 = TAUSWORTHE(state->s1, 6U, 13U, 4294967294U, 18U); |
56 | state->s2 = TAUSWORTHE(state->s2, 2U, 27U, 4294967288U, 2U); | |
57 | state->s3 = TAUSWORTHE(state->s3, 13U, 21U, 4294967280U, 7U); | |
58 | state->s4 = TAUSWORTHE(state->s4, 3U, 12U, 4294967168U, 13U); | |
aaa248f6 | 59 | |
a98814ce | 60 | return (state->s1 ^ state->s2 ^ state->s3 ^ state->s4); |
aaa248f6 | 61 | } |
496f2f93 | 62 | EXPORT_SYMBOL(prandom_u32_state); |
aaa248f6 | 63 | |
d3d47eb2 | 64 | /** |
6582c665 AM |
65 | * prandom_bytes_state - get the requested number of pseudo-random bytes |
66 | * | |
67 | * @state: pointer to state structure holding seeded state. | |
68 | * @buf: where to copy the pseudo-random bytes to | |
69 | * @bytes: the requested number of bytes | |
70 | * | |
71 | * This is used for pseudo-randomness with no outside seeding. | |
72 | * For more random results, use prandom_bytes(). | |
73 | */ | |
a98406e2 | 74 | void prandom_bytes_state(struct rnd_state *state, void *buf, size_t bytes) |
6582c665 | 75 | { |
a98406e2 | 76 | u8 *ptr = buf; |
6582c665 | 77 | |
a98406e2 DB |
78 | while (bytes >= sizeof(u32)) { |
79 | put_unaligned(prandom_u32_state(state), (u32 *) ptr); | |
80 | ptr += sizeof(u32); | |
81 | bytes -= sizeof(u32); | |
6582c665 | 82 | } |
6582c665 | 83 | |
a98406e2 DB |
84 | if (bytes > 0) { |
85 | u32 rem = prandom_u32_state(state); | |
86 | do { | |
87 | *ptr++ = (u8) rem; | |
88 | bytes--; | |
89 | rem >>= BITS_PER_BYTE; | |
90 | } while (bytes > 0); | |
6582c665 AM |
91 | } |
92 | } | |
93 | EXPORT_SYMBOL(prandom_bytes_state); | |
94 | ||
a98814ce DB |
95 | static void prandom_warmup(struct rnd_state *state) |
96 | { | |
a98406e2 | 97 | /* Calling RNG ten times to satisfy recurrence condition */ |
a98814ce DB |
98 | prandom_u32_state(state); |
99 | prandom_u32_state(state); | |
100 | prandom_u32_state(state); | |
101 | prandom_u32_state(state); | |
102 | prandom_u32_state(state); | |
103 | prandom_u32_state(state); | |
104 | prandom_u32_state(state); | |
105 | prandom_u32_state(state); | |
106 | prandom_u32_state(state); | |
107 | prandom_u32_state(state); | |
108 | } | |
109 | ||
897ece56 | 110 | void prandom_seed_full_state(struct rnd_state __percpu *pcpu_state) |
0dd50d1b DB |
111 | { |
112 | int i; | |
113 | ||
114 | for_each_possible_cpu(i) { | |
115 | struct rnd_state *state = per_cpu_ptr(pcpu_state, i); | |
116 | u32 seeds[4]; | |
117 | ||
118 | get_random_bytes(&seeds, sizeof(seeds)); | |
119 | state->s1 = __seed(seeds[0], 2U); | |
120 | state->s2 = __seed(seeds[1], 8U); | |
121 | state->s3 = __seed(seeds[2], 16U); | |
122 | state->s4 = __seed(seeds[3], 128U); | |
123 | ||
124 | prandom_warmup(state); | |
125 | } | |
126 | } | |
b07edbe1 | 127 | EXPORT_SYMBOL(prandom_seed_full_state); |
0dd50d1b | 128 | |
a6a9c0f1 DB |
129 | #ifdef CONFIG_RANDOM32_SELFTEST |
130 | static struct prandom_test1 { | |
131 | u32 seed; | |
132 | u32 result; | |
133 | } test1[] = { | |
134 | { 1U, 3484351685U }, | |
135 | { 2U, 2623130059U }, | |
136 | { 3U, 3125133893U }, | |
137 | { 4U, 984847254U }, | |
138 | }; | |
139 | ||
140 | static struct prandom_test2 { | |
141 | u32 seed; | |
142 | u32 iteration; | |
143 | u32 result; | |
144 | } test2[] = { | |
145 | /* Test cases against taus113 from GSL library. */ | |
146 | { 931557656U, 959U, 2975593782U }, | |
147 | { 1339693295U, 876U, 3887776532U }, | |
148 | { 1545556285U, 961U, 1615538833U }, | |
149 | { 601730776U, 723U, 1776162651U }, | |
150 | { 1027516047U, 687U, 511983079U }, | |
151 | { 416526298U, 700U, 916156552U }, | |
152 | { 1395522032U, 652U, 2222063676U }, | |
153 | { 366221443U, 617U, 2992857763U }, | |
154 | { 1539836965U, 714U, 3783265725U }, | |
155 | { 556206671U, 994U, 799626459U }, | |
156 | { 684907218U, 799U, 367789491U }, | |
157 | { 2121230701U, 931U, 2115467001U }, | |
158 | { 1668516451U, 644U, 3620590685U }, | |
159 | { 768046066U, 883U, 2034077390U }, | |
160 | { 1989159136U, 833U, 1195767305U }, | |
161 | { 536585145U, 996U, 3577259204U }, | |
162 | { 1008129373U, 642U, 1478080776U }, | |
163 | { 1740775604U, 939U, 1264980372U }, | |
164 | { 1967883163U, 508U, 10734624U }, | |
165 | { 1923019697U, 730U, 3821419629U }, | |
166 | { 442079932U, 560U, 3440032343U }, | |
167 | { 1961302714U, 845U, 841962572U }, | |
168 | { 2030205964U, 962U, 1325144227U }, | |
169 | { 1160407529U, 507U, 240940858U }, | |
170 | { 635482502U, 779U, 4200489746U }, | |
171 | { 1252788931U, 699U, 867195434U }, | |
172 | { 1961817131U, 719U, 668237657U }, | |
173 | { 1071468216U, 983U, 917876630U }, | |
174 | { 1281848367U, 932U, 1003100039U }, | |
175 | { 582537119U, 780U, 1127273778U }, | |
176 | { 1973672777U, 853U, 1071368872U }, | |
177 | { 1896756996U, 762U, 1127851055U }, | |
178 | { 847917054U, 500U, 1717499075U }, | |
179 | { 1240520510U, 951U, 2849576657U }, | |
180 | { 1685071682U, 567U, 1961810396U }, | |
181 | { 1516232129U, 557U, 3173877U }, | |
182 | { 1208118903U, 612U, 1613145022U }, | |
183 | { 1817269927U, 693U, 4279122573U }, | |
184 | { 1510091701U, 717U, 638191229U }, | |
185 | { 365916850U, 807U, 600424314U }, | |
186 | { 399324359U, 702U, 1803598116U }, | |
187 | { 1318480274U, 779U, 2074237022U }, | |
188 | { 697758115U, 840U, 1483639402U }, | |
189 | { 1696507773U, 840U, 577415447U }, | |
190 | { 2081979121U, 981U, 3041486449U }, | |
191 | { 955646687U, 742U, 3846494357U }, | |
192 | { 1250683506U, 749U, 836419859U }, | |
193 | { 595003102U, 534U, 366794109U }, | |
194 | { 47485338U, 558U, 3521120834U }, | |
195 | { 619433479U, 610U, 3991783875U }, | |
196 | { 704096520U, 518U, 4139493852U }, | |
197 | { 1712224984U, 606U, 2393312003U }, | |
198 | { 1318233152U, 922U, 3880361134U }, | |
199 | { 855572992U, 761U, 1472974787U }, | |
200 | { 64721421U, 703U, 683860550U }, | |
201 | { 678931758U, 840U, 380616043U }, | |
202 | { 692711973U, 778U, 1382361947U }, | |
203 | { 677703619U, 530U, 2826914161U }, | |
204 | { 92393223U, 586U, 1522128471U }, | |
205 | { 1222592920U, 743U, 3466726667U }, | |
206 | { 358288986U, 695U, 1091956998U }, | |
207 | { 1935056945U, 958U, 514864477U }, | |
208 | { 735675993U, 990U, 1294239989U }, | |
209 | { 1560089402U, 897U, 2238551287U }, | |
210 | { 70616361U, 829U, 22483098U }, | |
211 | { 368234700U, 731U, 2913875084U }, | |
212 | { 20221190U, 879U, 1564152970U }, | |
213 | { 539444654U, 682U, 1835141259U }, | |
214 | { 1314987297U, 840U, 1801114136U }, | |
215 | { 2019295544U, 645U, 3286438930U }, | |
216 | { 469023838U, 716U, 1637918202U }, | |
217 | { 1843754496U, 653U, 2562092152U }, | |
218 | { 400672036U, 809U, 4264212785U }, | |
219 | { 404722249U, 965U, 2704116999U }, | |
220 | { 600702209U, 758U, 584979986U }, | |
221 | { 519953954U, 667U, 2574436237U }, | |
222 | { 1658071126U, 694U, 2214569490U }, | |
223 | { 420480037U, 749U, 3430010866U }, | |
224 | { 690103647U, 969U, 3700758083U }, | |
225 | { 1029424799U, 937U, 3787746841U }, | |
226 | { 2012608669U, 506U, 3362628973U }, | |
227 | { 1535432887U, 998U, 42610943U }, | |
228 | { 1330635533U, 857U, 3040806504U }, | |
229 | { 1223800550U, 539U, 3954229517U }, | |
230 | { 1322411537U, 680U, 3223250324U }, | |
231 | { 1877847898U, 945U, 2915147143U }, | |
232 | { 1646356099U, 874U, 965988280U }, | |
233 | { 805687536U, 744U, 4032277920U }, | |
234 | { 1948093210U, 633U, 1346597684U }, | |
235 | { 392609744U, 783U, 1636083295U }, | |
236 | { 690241304U, 770U, 1201031298U }, | |
237 | { 1360302965U, 696U, 1665394461U }, | |
238 | { 1220090946U, 780U, 1316922812U }, | |
239 | { 447092251U, 500U, 3438743375U }, | |
240 | { 1613868791U, 592U, 828546883U }, | |
241 | { 523430951U, 548U, 2552392304U }, | |
242 | { 726692899U, 810U, 1656872867U }, | |
243 | { 1364340021U, 836U, 3710513486U }, | |
244 | { 1986257729U, 931U, 935013962U }, | |
245 | { 407983964U, 921U, 728767059U }, | |
246 | }; | |
247 | ||
d4150779 | 248 | static void prandom_state_selftest_seed(struct rnd_state *state, u32 seed) |
c51f8f88 GS |
249 | { |
250 | #define LCG(x) ((x) * 69069U) /* super-duper LCG */ | |
d4150779 JD |
251 | state->s1 = __seed(LCG(seed), 2U); |
252 | state->s2 = __seed(LCG(state->s1), 8U); | |
253 | state->s3 = __seed(LCG(state->s2), 16U); | |
254 | state->s4 = __seed(LCG(state->s3), 128U); | |
c51f8f88 GS |
255 | } |
256 | ||
257 | static int __init prandom_state_selftest(void) | |
a6a9c0f1 DB |
258 | { |
259 | int i, j, errors = 0, runs = 0; | |
260 | bool error = false; | |
261 | ||
262 | for (i = 0; i < ARRAY_SIZE(test1); i++) { | |
263 | struct rnd_state state; | |
264 | ||
d4150779 | 265 | prandom_state_selftest_seed(&state, test1[i].seed); |
a6a9c0f1 DB |
266 | prandom_warmup(&state); |
267 | ||
268 | if (test1[i].result != prandom_u32_state(&state)) | |
269 | error = true; | |
270 | } | |
271 | ||
272 | if (error) | |
273 | pr_warn("prandom: seed boundary self test failed\n"); | |
274 | else | |
275 | pr_info("prandom: seed boundary self test passed\n"); | |
276 | ||
277 | for (i = 0; i < ARRAY_SIZE(test2); i++) { | |
278 | struct rnd_state state; | |
279 | ||
d4150779 | 280 | prandom_state_selftest_seed(&state, test2[i].seed); |
a6a9c0f1 DB |
281 | prandom_warmup(&state); |
282 | ||
283 | for (j = 0; j < test2[i].iteration - 1; j++) | |
284 | prandom_u32_state(&state); | |
285 | ||
286 | if (test2[i].result != prandom_u32_state(&state)) | |
287 | errors++; | |
288 | ||
289 | runs++; | |
290 | cond_resched(); | |
291 | } | |
292 | ||
293 | if (errors) | |
294 | pr_warn("prandom: %d/%d self tests failed\n", errors, runs); | |
295 | else | |
296 | pr_info("prandom: %d self tests passed\n", runs); | |
c51f8f88 | 297 | return 0; |
a6a9c0f1 | 298 | } |
c51f8f88 | 299 | core_initcall(prandom_state_selftest); |
a6a9c0f1 | 300 | #endif |