summaryrefslogtreecommitdiff
path: root/protocols/Sametime/src/glib/grand.c
blob: 68acc24cf893f63e6ee724f1fcbceeeb11e24d7f (plain)
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
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
/* GLIB - Library of useful routines for C programming
 * Copyright (C) 1995-1997  Peter Mattis, Spencer Kimball and Josh MacDonald
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the
 * Free Software Foundation, Inc., 59 Temple Place - Suite 330,
 * Boston, MA 02111-1307, USA.
 */

/* Originally developed and coded by Makoto Matsumoto and Takuji
 * Nishimura.  Please mail <matumoto@math.keio.ac.jp>, if you're using
 * code from this file in your own programs or libraries.
 * Further information on the Mersenne Twister can be found at
 * http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
 * This code was adapted to glib by Sebastian Wilhelmi.
 */

/*
 * Modified by the GLib Team and others 1997-2000.  See the AUTHORS
 * file for a list of people on the GLib Team.  See the ChangeLog
 * files for a list of changes.  These files are distributed with
 * GLib at ftp://ftp.gtk.org/pub/gtk/.
 */

/*
 * MT safe
 */

#include "config.h"

#include <math.h>
#include <errno.h>
#include <stdio.h>
#include <string.h>
#include <sys/types.h>
#ifdef HAVE_UNISTD_H
#include <unistd.h>
#endif

#include "grand.h"

#include "gmain.h"
#include "gmem.h"
#include "gtestutils.h"
#include "gthread.h"
#include "gthreadprivate.h"

#ifdef G_OS_WIN32
#include <process.h>		/* For getpid() */
#endif

/**
 * SECTION: random_numbers
 * @title: Random Numbers
 * @short_description: pseudo-random number generator
 *
 * The following functions allow you to use a portable, fast and good
 * pseudo-random number generator (PRNG). It uses the Mersenne Twister
 * PRNG, which was originally developed by Makoto Matsumoto and Takuji
 * Nishimura. Further information can be found at
 * <ulink url="http://www.math.keio.ac.jp/~matumoto/emt.html">
 * www.math.keio.ac.jp/~matumoto/emt.html</ulink>.
 *
 * If you just need a random number, you simply call the
 * <function>g_random_*</function> functions, which will create a
 * globally used #GRand and use the according
 * <function>g_rand_*</function> functions internally. Whenever you
 * need a stream of reproducible random numbers, you better create a
 * #GRand yourself and use the <function>g_rand_*</function> functions
 * directly, which will also be slightly faster. Initializing a #GRand
 * with a certain seed will produce exactly the same series of random
 * numbers on all platforms. This can thus be used as a seed for e.g.
 * games.
 *
 * The <function>g_rand*_range</function> functions will return high
 * quality equally distributed random numbers, whereas for example the
 * <literal>(g_random_int()&percnt;max)</literal> approach often
 * doesn't yield equally distributed numbers.
 *
 * GLib changed the seeding algorithm for the pseudo-random number
 * generator Mersenne Twister, as used by
 * <structname>GRand</structname> and <structname>GRandom</structname>.
 * This was necessary, because some seeds would yield very bad
 * pseudo-random streams.  Also the pseudo-random integers generated by
 * <function>g_rand*_int_range()</function> will have a slightly better
 * equal distribution with the new version of GLib.
 *
 * The original seeding and generation algorithms, as found in GLib
 * 2.0.x, can be used instead of the new ones by setting the
 * environment variable <envar>G_RANDOM_VERSION</envar> to the value of
 * '2.0'. Use the GLib-2.0 algorithms only if you have sequences of
 * numbers generated with Glib-2.0 that you need to reproduce exactly.
 **/

/**
 * GRand:
 *
 * The #GRand struct is an opaque data structure. It should only be
 * accessed through the <function>g_rand_*</function> functions.
 **/

G_LOCK_DEFINE_STATIC (global_random);
static GRand* global_random = NULL;

/* Period parameters */  
#define N 624
#define M 397
#define MATRIX_A 0x9908b0df   /* constant vector a */
#define UPPER_MASK 0x80000000 /* most significant w-r bits */
#define LOWER_MASK 0x7fffffff /* least significant r bits */

/* Tempering parameters */   
#define TEMPERING_MASK_B 0x9d2c5680
#define TEMPERING_MASK_C 0xefc60000
#define TEMPERING_SHIFT_U(y)  (y >> 11)
#define TEMPERING_SHIFT_S(y)  (y << 7)
#define TEMPERING_SHIFT_T(y)  (y << 15)
#define TEMPERING_SHIFT_L(y)  (y >> 18)

static guint
get_random_version (void)
{
  static gboolean initialized = FALSE;
  static guint random_version;
  
  if (!initialized)
    {
      const gchar *version_string = g_getenv ("G_RANDOM_VERSION");
      if (!version_string || version_string[0] == '\000' || 
	  strcmp (version_string, "2.2") == 0)
	random_version = 22;
      else if (strcmp (version_string, "2.0") == 0)
	random_version = 20;
      else
	{
	  g_warning ("Unknown G_RANDOM_VERSION \"%s\". Using version 2.2.",
		     version_string);
	  random_version = 22;
	}
      initialized = TRUE;
    }
  
  return random_version;
}

/* This is called from g_thread_init(). It's used to
 * initialize some static data in a threadsafe way.
 */
void 
_g_rand_thread_init (void)
{
  (void)get_random_version ();
}

struct _GRand
{
  guint32 mt[N]; /* the array for the state vector  */
  guint mti; 
};

/**
 * g_rand_new_with_seed:
 * @seed: a value to initialize the random number generator.
 * 
 * Creates a new random number generator initialized with @seed.
 * 
 * Return value: the new #GRand.
 **/
GRand*
g_rand_new_with_seed (guint32 seed)
{
  GRand *rand = g_new0 (GRand, 1);
  g_rand_set_seed (rand, seed);
  return rand;
}

/**
 * g_rand_new_with_seed_array:
 * @seed: an array of seeds to initialize the random number generator.
 * @seed_length: an array of seeds to initialize the random number generator.
 * 
 * Creates a new random number generator initialized with @seed.
 * 
 * Return value: the new #GRand.
 *
 * Since: 2.4
 **/
GRand*
g_rand_new_with_seed_array (const guint32 *seed, guint seed_length)
{
  GRand *rand = g_new0 (GRand, 1);
  g_rand_set_seed_array (rand, seed, seed_length);
  return rand;
}

/**
 * g_rand_new:
 * 
 * Creates a new random number generator initialized with a seed taken
 * either from <filename>/dev/urandom</filename> (if existing) or from 
 * the current time (as a fallback).
 * 
 * Return value: the new #GRand.
 **/
GRand* 
g_rand_new (void)
{
  guint32 seed[4];
  GTimeVal now;
#ifdef G_OS_UNIX
  static gboolean dev_urandom_exists = TRUE;

  if (dev_urandom_exists)
    {
      FILE* dev_urandom;

      do
        {
	  errno = 0;
	  dev_urandom = fopen("/dev/urandom", "rb");
	}
      while G_UNLIKELY (errno == EINTR);

      if (dev_urandom)
	{
	  int r;

	  setvbuf (dev_urandom, NULL, _IONBF, 0);
	  do
	    {
	      errno = 0;
	      r = fread (seed, sizeof (seed), 1, dev_urandom);
	    }
	  while G_UNLIKELY (errno == EINTR);

	  if (r != 1)
	    dev_urandom_exists = FALSE;

	  fclose (dev_urandom);
	}	
      else
	dev_urandom_exists = FALSE;
    }
#else
  static gboolean dev_urandom_exists = FALSE;
#endif

  if (!dev_urandom_exists)
    {  
      g_get_current_time (&now);
      seed[0] = now.tv_sec;
      seed[1] = now.tv_usec;
      seed[2] = _getpid ();
#ifdef G_OS_UNIX
      seed[3] = getppid ();
#else
      seed[3] = 0;
#endif
    }

  return g_rand_new_with_seed_array (seed, 4);
}

/**
 * g_rand_free:
 * @rand_: a #GRand.
 *
 * Frees the memory allocated for the #GRand.
 **/
void
g_rand_free (GRand* rand)
{
  g_return_if_fail (rand != NULL);

  g_free (rand);
}

/**
 * g_rand_copy:
 * @rand_: a #GRand.
 *
 * Copies a #GRand into a new one with the same exact state as before.
 * This way you can take a snapshot of the random number generator for
 * replaying later.
 *
 * Return value: the new #GRand.
 *
 * Since: 2.4
 **/
GRand *
g_rand_copy (GRand* rand)
{
  GRand* new_rand;

  g_return_val_if_fail (rand != NULL, NULL);

  new_rand = g_new0 (GRand, 1);
  memcpy (new_rand, rand, sizeof (GRand));

  return new_rand;
}

/**
 * g_rand_set_seed:
 * @rand_: a #GRand.
 * @seed: a value to reinitialize the random number generator.
 *
 * Sets the seed for the random number generator #GRand to @seed.
 **/
void
g_rand_set_seed (GRand* rand, guint32 seed)
{
  g_return_if_fail (rand != NULL);

  switch (get_random_version ())
    {
    case 20:
      /* setting initial seeds to mt[N] using         */
      /* the generator Line 25 of Table 1 in          */
      /* [KNUTH 1981, The Art of Computer Programming */
      /*    Vol. 2 (2nd Ed.), pp102]                  */
      
      if (seed == 0) /* This would make the PRNG procude only zeros */
	seed = 0x6b842128; /* Just set it to another number */
      
      rand->mt[0]= seed;
      for (rand->mti=1; rand->mti<N; rand->mti++)
	rand->mt[rand->mti] = (69069 * rand->mt[rand->mti-1]);
      
      break;
    case 22:
      /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
      /* In the previous version (see above), MSBs of the    */
      /* seed affect only MSBs of the array mt[].            */
      
      rand->mt[0]= seed;
      for (rand->mti=1; rand->mti<N; rand->mti++)
	rand->mt[rand->mti] = 1812433253UL * 
	  (rand->mt[rand->mti-1] ^ (rand->mt[rand->mti-1] >> 30)) + rand->mti; 
      break;
    default:
      g_assert_not_reached ();
    }
}

/**
 * g_rand_set_seed_array:
 * @rand_: a #GRand.
 * @seed: array to initialize with
 * @seed_length: length of array
 *
 * Initializes the random number generator by an array of
 * longs.  Array can be of arbitrary size, though only the
 * first 624 values are taken.  This function is useful
 * if you have many low entropy seeds, or if you require more then
 * 32bits of actual entropy for your application.
 *
 * Since: 2.4
 **/
void
g_rand_set_seed_array (GRand* rand, const guint32 *seed, guint seed_length)
{
  int i, j, k;

  g_return_if_fail (rand != NULL);
  g_return_if_fail (seed_length >= 1);

  g_rand_set_seed (rand, 19650218UL);

  i=1; j=0;
  k = (N>seed_length ? N : seed_length);
  for (; k; k--)
    {
      rand->mt[i] = (rand->mt[i] ^
		     ((rand->mt[i-1] ^ (rand->mt[i-1] >> 30)) * 1664525UL))
	      + seed[j] + j; /* non linear */
      rand->mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
      i++; j++;
      if (i>=N)
        {
	  rand->mt[0] = rand->mt[N-1];
	  i=1;
	}
      if (j>=seed_length)
	j=0;
    }
  for (k=N-1; k; k--)
    {
      rand->mt[i] = (rand->mt[i] ^
		     ((rand->mt[i-1] ^ (rand->mt[i-1] >> 30)) * 1566083941UL))
	      - i; /* non linear */
      rand->mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
      i++;
      if (i>=N)
        {
	  rand->mt[0] = rand->mt[N-1];
	  i=1;
	}
    }

  rand->mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */ 
}

/**
 * g_rand_boolean:
 * @rand_: a #GRand.
 * @Returns: a random #gboolean.
 *
 * Returns a random #gboolean from @rand_. This corresponds to a
 * unbiased coin toss.
 **/
/**
 * g_rand_int:
 * @rand_: a #GRand.
 *
 * Returns the next random #guint32 from @rand_ equally distributed over
 * the range [0..2^32-1].
 *
 * Return value: A random number.
 **/
guint32
g_rand_int (GRand* rand)
{
  guint32 y;
  static const guint32 mag01[2]={0x0, MATRIX_A};
  /* mag01[x] = x * MATRIX_A  for x=0,1 */

  g_return_val_if_fail (rand != NULL, 0);

  if (rand->mti >= N) { /* generate N words at one time */
    int kk;
    
    for (kk=0;kk<N-M;kk++) {
      y = (rand->mt[kk]&UPPER_MASK)|(rand->mt[kk+1]&LOWER_MASK);
      rand->mt[kk] = rand->mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1];
    }
    for (;kk<N-1;kk++) {
      y = (rand->mt[kk]&UPPER_MASK)|(rand->mt[kk+1]&LOWER_MASK);
      rand->mt[kk] = rand->mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1];
    }
    y = (rand->mt[N-1]&UPPER_MASK)|(rand->mt[0]&LOWER_MASK);
    rand->mt[N-1] = rand->mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1];
    
    rand->mti = 0;
  }
  
  y = rand->mt[rand->mti++];
  y ^= TEMPERING_SHIFT_U(y);
  y ^= TEMPERING_SHIFT_S(y) & TEMPERING_MASK_B;
  y ^= TEMPERING_SHIFT_T(y) & TEMPERING_MASK_C;
  y ^= TEMPERING_SHIFT_L(y);
  
  return y; 
}

/* transform [0..2^32] -> [0..1] */
#define G_RAND_DOUBLE_TRANSFORM 2.3283064365386962890625e-10

/**
 * g_rand_int_range:
 * @rand_: a #GRand.
 * @begin: lower closed bound of the interval.
 * @end: upper open bound of the interval.
 *
 * Returns the next random #gint32 from @rand_ equally distributed over
 * the range [@begin..@end-1].
 *
 * Return value: A random number.
 **/
gint32 
g_rand_int_range (GRand* rand, gint32 begin, gint32 end)
{
  guint32 dist = end - begin;
  guint32 random;

  g_return_val_if_fail (rand != NULL, begin);
  g_return_val_if_fail (end > begin, begin);

  switch (get_random_version ())
    {
    case 20:
      if (dist <= 0x10000L) /* 2^16 */
	{
	  /* This method, which only calls g_rand_int once is only good
	   * for (end - begin) <= 2^16, because we only have 32 bits set
	   * from the one call to g_rand_int (). */
	  
	  /* we are using (trans + trans * trans), because g_rand_int only
	   * covers [0..2^32-1] and thus g_rand_int * trans only covers
	   * [0..1-2^-32], but the biggest double < 1 is 1-2^-52. 
	   */
	  
	  gdouble double_rand = g_rand_int (rand) * 
	    (G_RAND_DOUBLE_TRANSFORM +
	     G_RAND_DOUBLE_TRANSFORM * G_RAND_DOUBLE_TRANSFORM);
	  
	  random = (gint32) (double_rand * dist);
	}
      else
	{
	  /* Now we use g_rand_double_range (), which will set 52 bits for
	     us, so that it is safe to round and still get a decent
	     distribution */
	  random = (gint32) g_rand_double_range (rand, 0, dist);
	}
      break;
    case 22:
      if (dist == 0)
	random = 0;
      else 
	{
	  /* maxvalue is set to the predecessor of the greatest
	   * multiple of dist less or equal 2^32. */
	  guint32 maxvalue;
	  if (dist <= 0x80000000u) /* 2^31 */
	    {
	      /* maxvalue = 2^32 - 1 - (2^32 % dist) */
	      guint32 leftover = (0x80000000u % dist) * 2;
	      if (leftover >= dist) leftover -= dist;
	      maxvalue = 0xffffffffu - leftover;
	    }
	  else
	    maxvalue = dist - 1;
	  
	  do
	    random = g_rand_int (rand);
	  while (random > maxvalue);
	  
	  random %= dist;
	}
      break;
    default:
      random = 0;		/* Quiet GCC */
      g_assert_not_reached ();
    }      
 
  return begin + random;
}

/**
 * g_rand_double:
 * @rand_: a #GRand.
 *
 * Returns the next random #gdouble from @rand_ equally distributed over
 * the range [0..1).
 *
 * Return value: A random number.
 **/
gdouble 
g_rand_double (GRand* rand)
{    
  /* We set all 52 bits after the point for this, not only the first
     32. Thats why we need two calls to g_rand_int */
  gdouble retval = g_rand_int (rand) * G_RAND_DOUBLE_TRANSFORM;
  retval = (retval + g_rand_int (rand)) * G_RAND_DOUBLE_TRANSFORM;

  /* The following might happen due to very bad rounding luck, but
   * actually this should be more than rare, we just try again then */
  if (retval >= 1.0) 
    return g_rand_double (rand);

  return retval;
}

/**
 * g_rand_double_range:
 * @rand_: a #GRand.
 * @begin: lower closed bound of the interval.
 * @end: upper open bound of the interval.
 *
 * Returns the next random #gdouble from @rand_ equally distributed over
 * the range [@begin..@end).
 *
 * Return value: A random number.
 **/
gdouble 
g_rand_double_range (GRand* rand, gdouble begin, gdouble end)
{
  return g_rand_double (rand) * (end - begin) + begin;
}

/**
 * g_random_boolean:
 * @Returns: a random #gboolean.
 *
 * Returns a random #gboolean. This corresponds to a unbiased coin toss.
 **/
/**
 * g_random_int:
 *
 * Return a random #guint32 equally distributed over the range
 * [0..2^32-1].
 *
 * Return value: A random number.
 **/
guint32
g_random_int (void)
{
  guint32 result;
  G_LOCK (global_random);
  if (!global_random)
    global_random = g_rand_new ();
  
  result = g_rand_int (global_random);
  G_UNLOCK (global_random);
  return result;
}

/**
 * g_random_int_range:
 * @begin: lower closed bound of the interval.
 * @end: upper open bound of the interval.
 *
 * Returns a random #gint32 equally distributed over the range
 * [@begin..@end-1].
 *
 * Return value: A random number.
 **/
gint32 
g_random_int_range (gint32 begin, gint32 end)
{
  gint32 result;
  G_LOCK (global_random);
  if (!global_random)
    global_random = g_rand_new ();
  
  result = g_rand_int_range (global_random, begin, end);
  G_UNLOCK (global_random);
  return result;
}

/**
 * g_random_double:
 *
 * Returns a random #gdouble equally distributed over the range [0..1).
 *
 * Return value: A random number.
 **/
gdouble 
g_random_double (void)
{
  double result;
  G_LOCK (global_random);
  if (!global_random)
    global_random = g_rand_new ();
  
  result = g_rand_double (global_random);
  G_UNLOCK (global_random);
  return result;
}

/**
 * g_random_double_range:
 * @begin: lower closed bound of the interval.
 * @end: upper open bound of the interval.
 *
 * Returns a random #gdouble equally distributed over the range [@begin..@end).
 *
 * Return value: A random number.
 **/
gdouble 
g_random_double_range (gdouble begin, gdouble end)
{
  double result;
  G_LOCK (global_random);
  if (!global_random)
    global_random = g_rand_new ();
 
  result = g_rand_double_range (global_random, begin, end);
  G_UNLOCK (global_random);
  return result;
}

/**
 * g_random_set_seed:
 * @seed: a value to reinitialize the global random number generator.
 * 
 * Sets the seed for the global random number generator, which is used
 * by the <function>g_random_*</function> functions, to @seed.
 **/
void
g_random_set_seed (guint32 seed)
{
  G_LOCK (global_random);
  if (!global_random)
    global_random = g_rand_new_with_seed (seed);
  else
    g_rand_set_seed (global_random, seed);
  G_UNLOCK (global_random);
}