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fcc3501c 1/*
b168057a 2 Copyright (C) 1995-2015 Free Software Foundation, Inc.
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3
4 The GNU C Library is free software; you can redistribute it and/or
5 modify it under the terms of the GNU Lesser General Public
6 License as published by the Free Software Foundation; either
7 version 2.1 of the License, or (at your option) any later version.
8
9 The GNU C Library is distributed in the hope that it will be useful,
10 but WITHOUT ANY WARRANTY; without even the implied warranty of
11 MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
12 Lesser General Public License for more details.
13
14 You should have received a copy of the GNU Lesser General Public
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15 License along with the GNU C Library; if not, see
16 <http://www.gnu.org/licenses/>. */
aeb25823 17
60478656 18/*
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19 Copyright (C) 1983 Regents of the University of California.
20 All rights reserved.
21
22 Redistribution and use in source and binary forms, with or without
23 modification, are permitted provided that the following conditions
24 are met:
25
26 1. Redistributions of source code must retain the above copyright
27 notice, this list of conditions and the following disclaimer.
28 2. Redistributions in binary form must reproduce the above copyright
29 notice, this list of conditions and the following disclaimer in the
30 documentation and/or other materials provided with the distribution.
31 4. Neither the name of the University nor the names of its contributors
32 may be used to endorse or promote products derived from this software
33 without specific prior written permission.
fcc3501c 34
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35 THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
36 ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
37 IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
38 ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
39 FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
40 DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
41 OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
42 HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
43 LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
44 OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
45 SUCH DAMAGE.*/
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46
47/*
48 * This is derived from the Berkeley source:
49 * @(#)random.c 5.5 (Berkeley) 7/6/88
50 * It was reworked for the GNU C Library by Roland McGrath.
845dcb57 51 * Rewritten to be reentrant by Ulrich Drepper, 1995
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52 */
53
54#include <errno.h>
55#include <limits.h>
56#include <stddef.h>
57#include <stdlib.h>
58
59
60/* An improved random number generation package. In addition to the standard
61 rand()/srand() like interface, this package also has a special state info
62 interface. The initstate() routine is called with a seed, an array of
63 bytes, and a count of how many bytes are being passed in; this array is
64 then initialized to contain information for random number generation with
65 that much state information. Good sizes for the amount of state
66 information are 32, 64, 128, and 256 bytes. The state can be switched by
6d52618b 67 calling the setstate() function with the same array as was initialized
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68 with initstate(). By default, the package runs with 128 bytes of state
69 information and generates far better random numbers than a linear
70 congruential generator. If the amount of state information is less than
71 32 bytes, a simple linear congruential R.N.G. is used. Internally, the
6d52618b 72 state information is treated as an array of longs; the zeroth element of
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73 the array is the type of R.N.G. being used (small integer); the remainder
74 of the array is the state information for the R.N.G. Thus, 32 bytes of
75 state information will give 7 longs worth of state information, which will
6d52618b 76 allow a degree seven polynomial. (Note: The zeroth word of state
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77 information also has some other information stored in it; see setstate
78 for details). The random number generation technique is a linear feedback
79 shift register approach, employing trinomials (since there are fewer terms
80 to sum up that way). In this approach, the least significant bit of all
81 the numbers in the state table will act as a linear feedback shift register,
82 and will have period 2^deg - 1 (where deg is the degree of the polynomial
83 being used, assuming that the polynomial is irreducible and primitive).
84 The higher order bits will have longer periods, since their values are
85 also influenced by pseudo-random carries out of the lower bits. The
86 total period of the generator is approximately deg*(2**deg - 1); thus
87 doubling the amount of state information has a vast influence on the
88 period of the generator. Note: The deg*(2**deg - 1) is an approximation
89 only good for large deg, when the period of the shift register is the
90 dominant factor. With deg equal to seven, the period is actually much
91 longer than the 7*(2**7 - 1) predicted by this formula. */
92
93
94
95/* For each of the currently supported random number generators, we have a
6d52618b 96 break value on the amount of state information (you need at least this many
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97 bytes of state info to support this random number generator), a degree for
98 the polynomial (actually a trinomial) that the R.N.G. is based on, and
99 separation between the two lower order coefficients of the trinomial. */
100
101/* Linear congruential. */
102#define TYPE_0 0
103#define BREAK_0 8
104#define DEG_0 0
105#define SEP_0 0
106
107/* x**7 + x**3 + 1. */
108#define TYPE_1 1
109#define BREAK_1 32
110#define DEG_1 7
111#define SEP_1 3
112
113/* x**15 + x + 1. */
114#define TYPE_2 2
115#define BREAK_2 64
116#define DEG_2 15
117#define SEP_2 1
118
119/* x**31 + x**3 + 1. */
120#define TYPE_3 3
121#define BREAK_3 128
122#define DEG_3 31
123#define SEP_3 3
124
125/* x**63 + x + 1. */
126#define TYPE_4 4
127#define BREAK_4 256
128#define DEG_4 63
129#define SEP_4 1
130
131
132/* Array versions of the above information to make code run faster.
133 Relies on fact that TYPE_i == i. */
134
135#define MAX_TYPES 5 /* Max number of types above. */
136
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137struct random_poly_info
138{
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139 int seps[MAX_TYPES];
140 int degrees[MAX_TYPES];
3e300ca1 141};
60478656 142
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143static const struct random_poly_info random_poly_info =
144{
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145 { SEP_0, SEP_1, SEP_2, SEP_3, SEP_4 },
146 { DEG_0, DEG_1, DEG_2, DEG_3, DEG_4 }
3e300ca1 147};
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148
149
6958e78d 150
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151\f
152/* Initialize the random number generator based on the given seed. If the
153 type is the trivial no-state-information type, just remember the seed.
154 Otherwise, initializes state[] based on the given "seed" via a linear
155 congruential generator. Then, the pointers are set to known locations
156 that are exactly rand_sep places apart. Lastly, it cycles the state
157 information a given number of times to get rid of any initial dependencies
158 introduced by the L.C.R.N.G. Note that the initialization of randtbl[]
159 for default usage relies on values produced by this routine. */
160int
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161__srandom_r (seed, buf)
162 unsigned int seed;
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163 struct random_data *buf;
164{
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165 int type;
166 int32_t *state;
6958e78d 167 long int i;
fe12c798 168 int32_t word;
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169 int32_t *dst;
170 int kc;
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171
172 if (buf == NULL)
173 goto fail;
174 type = buf->rand_type;
6958e78d 175 if ((unsigned int) type >= MAX_TYPES)
3e300ca1 176 goto fail;
60478656 177
3e300ca1 178 state = buf->state;
6958e78d 179 /* We must make sure the seed is not 0. Take arbitrarily 1 in this case. */
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180 if (seed == 0)
181 seed = 1;
182 state[0] = seed;
183 if (type == TYPE_0)
184 goto done;
185
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186 dst = state;
187 word = seed;
188 kc = buf->rand_deg;
189 for (i = 1; i < kc; ++i)
60478656 190 {
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191 /* This does:
192 state[i] = (16807 * state[i - 1]) % 2147483647;
193 but avoids overflowing 31 bits. */
194 long int hi = word / 127773;
195 long int lo = word % 127773;
196 word = 16807 * lo - 2836 * hi;
197 if (word < 0)
198 word += 2147483647;
199 *++dst = word;
60478656 200 }
3e300ca1 201
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202 buf->fptr = &state[buf->rand_sep];
203 buf->rptr = &state[0];
204 kc *= 10;
205 while (--kc >= 0)
206 {
207 int32_t discard;
208 (void) __random_r (buf, &discard);
209 }
60478656 210
3e300ca1 211 done:
60478656 212 return 0;
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213
214 fail:
215 return -1;
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216}
217
218weak_alias (__srandom_r, srandom_r)
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219\f
220/* Initialize the state information in the given array of N bytes for
221 future random number generation. Based on the number of bytes we
222 are given, and the break values for the different R.N.G.'s, we choose
223 the best (largest) one we can and set things up for it. srandom is
224 then called to initialize the state information. Note that on return
225 from srandom, we set state[-1] to be the type multiplexed with the current
226 value of the rear pointer; this is so successive calls to initstate won't
227 lose this information and will be able to restart with setstate.
228 Note: The first thing we do is save the current state, if any, just like
229 setstate so that it doesn't matter when initstate is called.
c53f6228 230 Returns 0 on success, non-zero on failure. */
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231int
232__initstate_r (seed, arg_state, n, buf)
233 unsigned int seed;
4afa1485 234 char *arg_state;
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235 size_t n;
236 struct random_data *buf;
237{
238 if (buf == NULL)
3e300ca1 239 goto fail;
60478656 240
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241 int32_t *old_state = buf->state;
242 if (old_state != NULL)
243 {
244 int old_type = buf->rand_type;
245 if (old_type == TYPE_0)
246 old_state[-1] = TYPE_0;
247 else
248 old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type;
249 }
f17c2202 250
fcc3501c 251 int type;
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252 if (n >= BREAK_3)
253 type = n < BREAK_4 ? TYPE_3 : TYPE_4;
254 else if (n < BREAK_1)
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255 {
256 if (n < BREAK_0)
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257 goto fail;
258
3e300ca1 259 type = TYPE_0;
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260 }
261 else
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262 type = n < BREAK_2 ? TYPE_1 : TYPE_2;
263
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264 int degree = random_poly_info.degrees[type];
265 int separation = random_poly_info.seps[type];
60478656 266
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267 buf->rand_type = type;
268 buf->rand_sep = separation;
269 buf->rand_deg = degree;
fcc3501c 270 int32_t *state = &((int32_t *) arg_state)[1]; /* First location. */
60478656 271 /* Must set END_PTR before srandom. */
3e300ca1 272 buf->end_ptr = &state[degree];
60478656 273
6958e78d 274 buf->state = state;
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275
276 __srandom_r (seed, buf);
60478656 277
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278 state[-1] = TYPE_0;
279 if (type != TYPE_0)
280 state[-1] = (buf->rptr - state) * MAX_TYPES + type;
281
60478656 282 return 0;
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283
284 fail:
faa57563 285 __set_errno (EINVAL);
3e300ca1 286 return -1;
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287}
288
289weak_alias (__initstate_r, initstate_r)
290\f
291/* Restore the state from the given state array.
292 Note: It is important that we also remember the locations of the pointers
293 in the current state information, and restore the locations of the pointers
294 from the old state information. This is done by multiplexing the pointer
6d52618b 295 location into the zeroth word of the state information. Note that due
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296 to the order in which things are done, it is OK to call setstate with the
297 same state as the current state
c53f6228 298 Returns 0 on success, non-zero on failure. */
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299int
300__setstate_r (arg_state, buf)
4afa1485 301 char *arg_state;
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302 struct random_data *buf;
303{
ea83223c 304 int32_t *new_state = 1 + (int32_t *) arg_state;
26afaa63 305 int type;
6958e78d 306 int old_type;
3e300ca1 307 int32_t *old_state;
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308 int degree;
309 int separation;
60478656 310
faa57563 311 if (arg_state == NULL || buf == NULL)
6958e78d 312 goto fail;
60478656 313
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314 old_type = buf->rand_type;
315 old_state = buf->state;
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316 if (old_type == TYPE_0)
317 old_state[-1] = TYPE_0;
318 else
319 old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type;
320
ea83223c 321 type = new_state[-1] % MAX_TYPES;
4fcddf8e 322 if (type < TYPE_0 || type > TYPE_4)
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323 goto fail;
324
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325 buf->rand_deg = degree = random_poly_info.degrees[type];
326 buf->rand_sep = separation = random_poly_info.seps[type];
327 buf->rand_type = type;
3e300ca1 328
3e300ca1 329 if (type != TYPE_0)
60478656 330 {
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331 int rear = new_state[-1] / MAX_TYPES;
332 buf->rptr = &new_state[rear];
333 buf->fptr = &new_state[(rear + separation) % degree];
60478656 334 }
ea83223c 335 buf->state = new_state;
6958e78d 336 /* Set end_ptr too. */
ea83223c 337 buf->end_ptr = &new_state[degree];
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338
339 return 0;
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340
341 fail:
6958e78d 342 __set_errno (EINVAL);
3e300ca1 343 return -1;
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344}
345
346weak_alias (__setstate_r, setstate_r)
347\f
348/* If we are using the trivial TYPE_0 R.N.G., just do the old linear
349 congruential bit. Otherwise, we do our fancy trinomial stuff, which is the
6d52618b 350 same in all the other cases due to all the global variables that have been
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351 set up. The basic operation is to add the number at the rear pointer into
352 the one at the front pointer. Then both pointers are advanced to the next
353 location cyclically in the table. The value returned is the sum generated,
354 reduced to 31 bits by throwing away the "least random" low bit.
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355 Note: The code takes advantage of the fact that both the front and
356 rear pointers can't wrap on the same call by not testing the rear
357 pointer if the front one has wrapped. Returns a 31-bit random number. */
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358
359int
360__random_r (buf, result)
361 struct random_data *buf;
b20e47cb 362 int32_t *result;
60478656 363{
6958e78d 364 int32_t *state;
3e300ca1 365
6958e78d 366 if (buf == NULL || result == NULL)
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367 goto fail;
368
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369 state = buf->state;
370
371 if (buf->rand_type == TYPE_0)
372 {
373 int32_t val = state[0];
374 val = ((state[0] * 1103515245) + 12345) & 0x7fffffff;
375 state[0] = val;
376 *result = val;
377 }
378 else
379 {
380 int32_t *fptr = buf->fptr;
381 int32_t *rptr = buf->rptr;
382 int32_t *end_ptr = buf->end_ptr;
383 int32_t val;
384
385 val = *fptr += *rptr;
386 /* Chucking least random bit. */
387 *result = (val >> 1) & 0x7fffffff;
388 ++fptr;
389 if (fptr >= end_ptr)
390 {
391 fptr = state;
392 ++rptr;
393 }
394 else
395 {
396 ++rptr;
397 if (rptr >= end_ptr)
398 rptr = state;
399 }
400 buf->fptr = fptr;
401 buf->rptr = rptr;
402 }
403 return 0;
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404
405 fail:
faa57563 406 __set_errno (EINVAL);
3e300ca1 407 return -1;
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408}
409
410weak_alias (__random_r, random_r)