1/*
2   Copyright (C) 1995, 2004 Free Software Foundation
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
15   License along with the GNU C Library; if not, write to the Free
16   Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
17   02110-1301 USA.  */
18
19/*
20   Copyright (C) 1983 Regents of the University of California.
21   All rights reserved.
22
23   Redistribution and use in source and binary forms, with or without
24   modification, are permitted provided that the following conditions
25   are met:
26
27   1. Redistributions of source code must retain the above copyright
28      notice, this list of conditions and the following disclaimer.
29   2. Redistributions in binary form must reproduce the above copyright
30      notice, this list of conditions and the following disclaimer in the
31      documentation and/or other materials provided with the distribution.
32   4. Neither the name of the University nor the names of its contributors
33      may be used to endorse or promote products derived from this software
34      without specific prior written permission.
35
36   THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
37   ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
38   IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
39   ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
40   FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
41   DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
42   OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
43   HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
44   LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
45   OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
46   SUCH DAMAGE.*/
47
48/*
49 * This is derived from the Berkeley source:
50 *	@(#)random.c	5.5 (Berkeley) 7/6/88
51 * It was reworked for the GNU C Library by Roland McGrath.
52 * Rewritten to be reentrant by Ulrich Drepper, 1995
53 */
54
55#include <limits.h>
56#include <stdlib.h>
57#include "generate-random.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
67   calling the setstate() function with the same array as was initialized
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
72   state information is treated as an array of longs; the zeroth element of
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
76   allow a degree seven polynomial.  (Note: The zeroth word of state
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
96   break value on the amount of state information (you need at least this many
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
137struct random_poly_info
138{
139  int seps[MAX_TYPES];
140  int degrees[MAX_TYPES];
141};
142
143static const struct random_poly_info random_poly_info =
144{
145  { SEP_0, SEP_1, SEP_2, SEP_3, SEP_4 },
146  { DEG_0, DEG_1, DEG_2, DEG_3, DEG_4 }
147};
148
149
150
151
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
161generate_srandom_r (unsigned int seed, struct generate_random_data *buf)
162{
163  int type;
164  int *state;
165  long int i;
166  long int word;
167  int *dst;
168  int kc;
169
170  if (buf == NULL)
171    goto fail;
172  type = buf->rand_type;
173  if ((unsigned int) type >= MAX_TYPES)
174    goto fail;
175
176  state = buf->state;
177  /* We must make sure the seed is not 0.  Take arbitrarily 1 in this case.  */
178  if (seed == 0)
179    seed = 1;
180  state[0] = seed;
181  if (type == TYPE_0)
182    goto done;
183
184  dst = state;
185  word = seed;
186  kc = buf->rand_deg;
187  for (i = 1; i < kc; ++i)
188    {
189      /* This does:
190	   state[i] = (16807 * state[i - 1]) % 2147483647;
191	 but avoids overflowing 31 bits.  */
192      long int hi = word / 127773;
193      long int lo = word % 127773;
194      word = 16807 * lo - 2836 * hi;
195      if (word < 0)
196	word += 2147483647;
197      *++dst = word;
198    }
199
200  buf->fptr = &state[buf->rand_sep];
201  buf->rptr = &state[0];
202  kc *= 10;
203  while (--kc >= 0)
204    {
205      int discard;
206      (void) generate_random_r (buf, &discard);
207    }
208
209 done:
210  return 0;
211
212 fail:
213  return -1;
214}
215
216/* Initialize the state information in the given array of N bytes for
217   future random number generation.  Based on the number of bytes we
218   are given, and the break values for the different R.N.G.'s, we choose
219   the best (largest) one we can and set things up for it.  srandom is
220   then called to initialize the state information.  Note that on return
221   from srandom, we set state[-1] to be the type multiplexed with the current
222   value of the rear pointer; this is so successive calls to initstate won't
223   lose this information and will be able to restart with setstate.
224   Note: The first thing we do is save the current state, if any, just like
225   setstate so that it doesn't matter when initstate is called.
226   Returns a pointer to the old state.  */
227int
228generate_initstate_r (unsigned int seed, char *arg_state, size_t n,
229		      struct generate_random_data *buf)
230{
231  int type;
232  int degree;
233  int separation;
234  int *state;
235
236  if (buf == NULL)
237    goto fail;
238
239  if (n >= BREAK_3)
240    type = n < BREAK_4 ? TYPE_3 : TYPE_4;
241  else if (n < BREAK_1)
242    {
243      if (n < BREAK_0)
244	{
245	  goto fail;
246	}
247      type = TYPE_0;
248    }
249  else
250    type = n < BREAK_2 ? TYPE_1 : TYPE_2;
251
252  degree = random_poly_info.degrees[type];
253  separation = random_poly_info.seps[type];
254
255  buf->rand_type = type;
256  buf->rand_sep = separation;
257  buf->rand_deg = degree;
258  state = &((int *) arg_state)[1];	/* First location.  */
259  /* Must set END_PTR before srandom.  */
260  buf->end_ptr = &state[degree];
261
262  buf->state = state;
263
264  generate_srandom_r (seed, buf);
265
266  state[-1] = TYPE_0;
267  if (type != TYPE_0)
268    state[-1] = (buf->rptr - state) * MAX_TYPES + type;
269
270  return 0;
271
272 fail:
273  return -1;
274}
275
276/* Restore the state from the given state array.
277   Note: It is important that we also remember the locations of the pointers
278   in the current state information, and restore the locations of the pointers
279   from the old state information.  This is done by multiplexing the pointer
280   location into the zeroth word of the state information. Note that due
281   to the order in which things are done, it is OK to call setstate with the
282   same state as the current state
283   Returns a pointer to the old state information.  */
284int
285generate_setstate_r (char *arg_state, struct generate_random_data *buf)
286{
287  int *new_state = 1 + (int *) arg_state;
288  int type;
289  int old_type;
290  int *old_state;
291  int degree;
292  int separation;
293
294  if (arg_state == NULL || buf == NULL)
295    goto fail;
296
297  old_type = buf->rand_type;
298  old_state = buf->state;
299  if (old_type == TYPE_0)
300    old_state[-1] = TYPE_0;
301  else
302    old_state[-1] = (MAX_TYPES * (buf->rptr - old_state)) + old_type;
303
304  type = new_state[-1] % MAX_TYPES;
305  if (type < TYPE_0 || type > TYPE_4)
306    goto fail;
307
308  buf->rand_deg = degree = random_poly_info.degrees[type];
309  buf->rand_sep = separation = random_poly_info.seps[type];
310  buf->rand_type = type;
311
312  if (type != TYPE_0)
313    {
314      int rear = new_state[-1] / MAX_TYPES;
315      buf->rptr = &new_state[rear];
316      buf->fptr = &new_state[(rear + separation) % degree];
317    }
318  buf->state = new_state;
319  /* Set end_ptr too.  */
320  buf->end_ptr = &new_state[degree];
321
322  return 0;
323
324 fail:
325  return -1;
326}
327
328/* If we are using the trivial TYPE_0 R.N.G., just do the old linear
329   congruential bit.  Otherwise, we do our fancy trinomial stuff, which is the
330   same in all the other cases due to all the global variables that have been
331   set up.  The basic operation is to add the number at the rear pointer into
332   the one at the front pointer.  Then both pointers are advanced to the next
333   location cyclically in the table.  The value returned is the sum generated,
334   reduced to 31 bits by throwing away the "least random" low bit.
335   Note: The code takes advantage of the fact that both the front and
336   rear pointers can't wrap on the same call by not testing the rear
337   pointer if the front one has wrapped.  Returns a 31-bit random number.  */
338
339int
340generate_random_r (struct generate_random_data *buf, int *result)
341{
342  int *state;
343
344  if (buf == NULL || result == NULL)
345    goto fail;
346
347  state = buf->state;
348
349  if (buf->rand_type == TYPE_0)
350    {
351      int val = state[0];
352      val = ((state[0] * 1103515245) + 12345) & 0x7fffffff;
353      state[0] = val;
354      *result = val;
355    }
356  else
357    {
358      int *fptr = buf->fptr;
359      int *rptr = buf->rptr;
360      int *end_ptr = buf->end_ptr;
361      int val;
362
363      val = *fptr += *rptr;
364      /* Chucking least random bit.  */
365      *result = (val >> 1) & 0x7fffffff;
366      ++fptr;
367      if (fptr >= end_ptr)
368	{
369	  fptr = state;
370	  ++rptr;
371	}
372      else
373	{
374	  ++rptr;
375	  if (rptr >= end_ptr)
376	    rptr = state;
377	}
378      buf->fptr = fptr;
379      buf->rptr = rptr;
380    }
381  return 0;
382
383 fail:
384  return -1;
385}
386