1 /* GLIB - Library of useful routines for C programming
2 * Copyright (C) 1995-1997 Peter Mattis, Spencer Kimball and Josh MacDonald
4 * This 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 of the License, or (at your option) any later version.
9 * This 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.
14 * You should have received a copy of the GNU Lesser General Public
15 * License along with this library; if not, write to the
16 * Free Software Foundation, Inc., 59 Temple Place - Suite 330,
17 * Boston, MA 02111-1307, USA.
20 /* Originally developed and coded by Makoto Matsumoto and Takuji
21 * Nishimura. Please mail <matumoto@math.keio.ac.jp>, if you're using
22 * code from this file in your own programs or libraries.
23 * Further information on the Mersenne Twister can be found at
24 * http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
25 * This code was adapted to glib by Sebastian Wilhelmi.
29 * Modified by the GLib Team and others 1997-2000. See the AUTHORS
30 * file for a list of people on the GLib Team. See the ChangeLog
31 * files for a list of changes. These files are distributed with
32 * GLib at ftp://ftp.gtk.org/pub/gtk/.
45 #include <sys/types.h>
55 #include "gtestutils.h"
59 #include <process.h> /* For getpid() */
63 * SECTION:random_numbers
64 * @title: Random Numbers
65 * @short_description: pseudo-random number generator
67 * The following functions allow you to use a portable, fast and good
68 * pseudo-random number generator (PRNG). It uses the Mersenne Twister
69 * PRNG, which was originally developed by Makoto Matsumoto and Takuji
70 * Nishimura. Further information can be found at
71 * <ulink url="http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html">
72 * http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html</ulink>.
74 * If you just need a random number, you simply call the
75 * <function>g_random_*</function> functions, which will create a
76 * globally used #GRand and use the according
77 * <function>g_rand_*</function> functions internally. Whenever you
78 * need a stream of reproducible random numbers, you better create a
79 * #GRand yourself and use the <function>g_rand_*</function> functions
80 * directly, which will also be slightly faster. Initializing a #GRand
81 * with a certain seed will produce exactly the same series of random
82 * numbers on all platforms. This can thus be used as a seed for e.g.
85 * The <function>g_rand*_range</function> functions will return high
86 * quality equally distributed random numbers, whereas for example the
87 * <literal>(g_random_int()%max)</literal> approach often
88 * doesn't yield equally distributed numbers.
90 * GLib changed the seeding algorithm for the pseudo-random number
91 * generator Mersenne Twister, as used by
92 * <structname>GRand</structname> and <structname>GRandom</structname>.
93 * This was necessary, because some seeds would yield very bad
94 * pseudo-random streams. Also the pseudo-random integers generated by
95 * <function>g_rand*_int_range()</function> will have a slightly better
96 * equal distribution with the new version of GLib.
98 * The original seeding and generation algorithms, as found in GLib
99 * 2.0.x, can be used instead of the new ones by setting the
100 * environment variable <envar>G_RANDOM_VERSION</envar> to the value of
101 * '2.0'. Use the GLib-2.0 algorithms only if you have sequences of
102 * numbers generated with Glib-2.0 that you need to reproduce exactly.
108 * The #GRand struct is an opaque data structure. It should only be
109 * accessed through the <function>g_rand_*</function> functions.
112 G_LOCK_DEFINE_STATIC (global_random
);
113 static GRand
* global_random
= NULL
;
115 /* Period parameters */
118 #define MATRIX_A 0x9908b0df /* constant vector a */
119 #define UPPER_MASK 0x80000000 /* most significant w-r bits */
120 #define LOWER_MASK 0x7fffffff /* least significant r bits */
122 /* Tempering parameters */
123 #define TEMPERING_MASK_B 0x9d2c5680
124 #define TEMPERING_MASK_C 0xefc60000
125 #define TEMPERING_SHIFT_U(y) (y >> 11)
126 #define TEMPERING_SHIFT_S(y) (y << 7)
127 #define TEMPERING_SHIFT_T(y) (y << 15)
128 #define TEMPERING_SHIFT_L(y) (y >> 18)
131 get_random_version (void)
133 static gsize initialized
= FALSE
;
134 static guint random_version
;
136 if (g_once_init_enter (&initialized
))
138 const gchar
*version_string
= g_getenv ("G_RANDOM_VERSION");
139 if (!version_string
|| version_string
[0] == '\000' ||
140 strcmp (version_string
, "2.2") == 0)
142 else if (strcmp (version_string
, "2.0") == 0)
146 g_warning ("Unknown G_RANDOM_VERSION \"%s\". Using version 2.2.",
150 g_once_init_leave (&initialized
, TRUE
);
153 return random_version
;
158 guint32 mt
[N
]; /* the array for the state vector */
163 * g_rand_new_with_seed:
164 * @seed: a value to initialize the random number generator.
166 * Creates a new random number generator initialized with @seed.
168 * Return value: the new #GRand.
171 g_rand_new_with_seed (guint32 seed
)
173 GRand
*rand
= g_new0 (GRand
, 1);
174 g_rand_set_seed (rand
, seed
);
179 * g_rand_new_with_seed_array:
180 * @seed: an array of seeds to initialize the random number generator.
181 * @seed_length: an array of seeds to initialize the random number generator.
183 * Creates a new random number generator initialized with @seed.
185 * Return value: the new #GRand.
190 g_rand_new_with_seed_array (const guint32
*seed
, guint seed_length
)
192 GRand
*rand
= g_new0 (GRand
, 1);
193 g_rand_set_seed_array (rand
, seed
, seed_length
);
200 * Creates a new random number generator initialized with a seed taken
201 * either from <filename>/dev/urandom</filename> (if existing) or from
202 * the current time (as a fallback).
204 * Return value: the new #GRand.
212 static gboolean dev_urandom_exists
= TRUE
;
214 if (dev_urandom_exists
)
221 dev_urandom
= fopen("/dev/urandom", "rb");
223 while G_UNLIKELY (errno
== EINTR
);
229 setvbuf (dev_urandom
, NULL
, _IONBF
, 0);
233 r
= fread (seed
, sizeof (seed
), 1, dev_urandom
);
235 while G_UNLIKELY (errno
== EINTR
);
238 dev_urandom_exists
= FALSE
;
240 fclose (dev_urandom
);
243 dev_urandom_exists
= FALSE
;
246 static gboolean dev_urandom_exists
= FALSE
;
249 if (!dev_urandom_exists
)
251 g_get_current_time (&now
);
252 seed
[0] = now
.tv_sec
;
253 seed
[1] = now
.tv_usec
;
256 seed
[3] = getppid ();
262 return g_rand_new_with_seed_array (seed
, 4);
269 * Frees the memory allocated for the #GRand.
272 g_rand_free (GRand
* rand
)
274 g_return_if_fail (rand
!= NULL
);
283 * Copies a #GRand into a new one with the same exact state as before.
284 * This way you can take a snapshot of the random number generator for
287 * Return value: the new #GRand.
292 g_rand_copy (GRand
* rand
)
296 g_return_val_if_fail (rand
!= NULL
, NULL
);
298 new_rand
= g_new0 (GRand
, 1);
299 memcpy (new_rand
, rand
, sizeof (GRand
));
307 * @seed: a value to reinitialize the random number generator.
309 * Sets the seed for the random number generator #GRand to @seed.
312 g_rand_set_seed (GRand
* rand
, guint32 seed
)
314 g_return_if_fail (rand
!= NULL
);
316 switch (get_random_version ())
319 /* setting initial seeds to mt[N] using */
320 /* the generator Line 25 of Table 1 in */
321 /* [KNUTH 1981, The Art of Computer Programming */
322 /* Vol. 2 (2nd Ed.), pp102] */
324 if (seed
== 0) /* This would make the PRNG procude only zeros */
325 seed
= 0x6b842128; /* Just set it to another number */
328 for (rand
->mti
=1; rand
->mti
<N
; rand
->mti
++)
329 rand
->mt
[rand
->mti
] = (69069 * rand
->mt
[rand
->mti
-1]);
333 /* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
334 /* In the previous version (see above), MSBs of the */
335 /* seed affect only MSBs of the array mt[]. */
338 for (rand
->mti
=1; rand
->mti
<N
; rand
->mti
++)
339 rand
->mt
[rand
->mti
] = 1812433253UL *
340 (rand
->mt
[rand
->mti
-1] ^ (rand
->mt
[rand
->mti
-1] >> 30)) + rand
->mti
;
343 g_assert_not_reached ();
348 * g_rand_set_seed_array:
350 * @seed: array to initialize with
351 * @seed_length: length of array
353 * Initializes the random number generator by an array of
354 * longs. Array can be of arbitrary size, though only the
355 * first 624 values are taken. This function is useful
356 * if you have many low entropy seeds, or if you require more then
357 * 32bits of actual entropy for your application.
362 g_rand_set_seed_array (GRand
* rand
, const guint32
*seed
, guint seed_length
)
366 g_return_if_fail (rand
!= NULL
);
367 g_return_if_fail (seed_length
>= 1);
369 g_rand_set_seed (rand
, 19650218UL);
372 k
= (N
>seed_length
? N
: seed_length
);
375 rand
->mt
[i
] = (rand
->mt
[i
] ^
376 ((rand
->mt
[i
-1] ^ (rand
->mt
[i
-1] >> 30)) * 1664525UL))
377 + seed
[j
] + j
; /* non linear */
378 rand
->mt
[i
] &= 0xffffffffUL
; /* for WORDSIZE > 32 machines */
382 rand
->mt
[0] = rand
->mt
[N
-1];
390 rand
->mt
[i
] = (rand
->mt
[i
] ^
391 ((rand
->mt
[i
-1] ^ (rand
->mt
[i
-1] >> 30)) * 1566083941UL))
392 - i
; /* non linear */
393 rand
->mt
[i
] &= 0xffffffffUL
; /* for WORDSIZE > 32 machines */
397 rand
->mt
[0] = rand
->mt
[N
-1];
402 rand
->mt
[0] = 0x80000000UL
; /* MSB is 1; assuring non-zero initial array */
408 * @Returns: a random #gboolean.
410 * Returns a random #gboolean from @rand_. This corresponds to a
411 * unbiased coin toss.
417 * Returns the next random #guint32 from @rand_ equally distributed over
418 * the range [0..2^32-1].
420 * Return value: A random number.
423 g_rand_int (GRand
* rand
)
426 static const guint32 mag01
[2]={0x0, MATRIX_A
};
427 /* mag01[x] = x * MATRIX_A for x=0,1 */
429 g_return_val_if_fail (rand
!= NULL
, 0);
431 if (rand
->mti
>= N
) { /* generate N words at one time */
434 for (kk
=0;kk
<N
-M
;kk
++) {
435 y
= (rand
->mt
[kk
]&UPPER_MASK
)|(rand
->mt
[kk
+1]&LOWER_MASK
);
436 rand
->mt
[kk
] = rand
->mt
[kk
+M
] ^ (y
>> 1) ^ mag01
[y
& 0x1];
439 y
= (rand
->mt
[kk
]&UPPER_MASK
)|(rand
->mt
[kk
+1]&LOWER_MASK
);
440 rand
->mt
[kk
] = rand
->mt
[kk
+(M
-N
)] ^ (y
>> 1) ^ mag01
[y
& 0x1];
442 y
= (rand
->mt
[N
-1]&UPPER_MASK
)|(rand
->mt
[0]&LOWER_MASK
);
443 rand
->mt
[N
-1] = rand
->mt
[M
-1] ^ (y
>> 1) ^ mag01
[y
& 0x1];
448 y
= rand
->mt
[rand
->mti
++];
449 y
^= TEMPERING_SHIFT_U(y
);
450 y
^= TEMPERING_SHIFT_S(y
) & TEMPERING_MASK_B
;
451 y
^= TEMPERING_SHIFT_T(y
) & TEMPERING_MASK_C
;
452 y
^= TEMPERING_SHIFT_L(y
);
457 /* transform [0..2^32] -> [0..1] */
458 #define G_RAND_DOUBLE_TRANSFORM 2.3283064365386962890625e-10
463 * @begin: lower closed bound of the interval.
464 * @end: upper open bound of the interval.
466 * Returns the next random #gint32 from @rand_ equally distributed over
467 * the range [@begin..@end-1].
469 * Return value: A random number.
472 g_rand_int_range (GRand
* rand
, gint32 begin
, gint32 end
)
474 guint32 dist
= end
- begin
;
477 g_return_val_if_fail (rand
!= NULL
, begin
);
478 g_return_val_if_fail (end
> begin
, begin
);
480 switch (get_random_version ())
483 if (dist
<= 0x10000L
) /* 2^16 */
485 /* This method, which only calls g_rand_int once is only good
486 * for (end - begin) <= 2^16, because we only have 32 bits set
487 * from the one call to g_rand_int (). */
489 /* we are using (trans + trans * trans), because g_rand_int only
490 * covers [0..2^32-1] and thus g_rand_int * trans only covers
491 * [0..1-2^-32], but the biggest double < 1 is 1-2^-52.
494 gdouble double_rand
= g_rand_int (rand
) *
495 (G_RAND_DOUBLE_TRANSFORM
+
496 G_RAND_DOUBLE_TRANSFORM
* G_RAND_DOUBLE_TRANSFORM
);
498 random
= (gint32
) (double_rand
* dist
);
502 /* Now we use g_rand_double_range (), which will set 52 bits for
503 us, so that it is safe to round and still get a decent
505 random
= (gint32
) g_rand_double_range (rand
, 0, dist
);
513 /* maxvalue is set to the predecessor of the greatest
514 * multiple of dist less or equal 2^32. */
516 if (dist
<= 0x80000000u
) /* 2^31 */
518 /* maxvalue = 2^32 - 1 - (2^32 % dist) */
519 guint32 leftover
= (0x80000000u
% dist
) * 2;
520 if (leftover
>= dist
) leftover
-= dist
;
521 maxvalue
= 0xffffffffu
- leftover
;
527 random
= g_rand_int (rand
);
528 while (random
> maxvalue
);
534 random
= 0; /* Quiet GCC */
535 g_assert_not_reached ();
538 return begin
+ random
;
545 * Returns the next random #gdouble from @rand_ equally distributed over
548 * Return value: A random number.
551 g_rand_double (GRand
* rand
)
553 /* We set all 52 bits after the point for this, not only the first
554 32. Thats why we need two calls to g_rand_int */
555 gdouble retval
= g_rand_int (rand
) * G_RAND_DOUBLE_TRANSFORM
;
556 retval
= (retval
+ g_rand_int (rand
)) * G_RAND_DOUBLE_TRANSFORM
;
558 /* The following might happen due to very bad rounding luck, but
559 * actually this should be more than rare, we just try again then */
561 return g_rand_double (rand
);
567 * g_rand_double_range:
569 * @begin: lower closed bound of the interval.
570 * @end: upper open bound of the interval.
572 * Returns the next random #gdouble from @rand_ equally distributed over
573 * the range [@begin..@end).
575 * Return value: A random number.
578 g_rand_double_range (GRand
* rand
, gdouble begin
, gdouble end
)
582 r
= g_rand_double (rand
);
584 return r
* end
- (r
- 1) * begin
;
589 * @Returns: a random #gboolean.
591 * Returns a random #gboolean. This corresponds to a unbiased coin toss.
596 * Return a random #guint32 equally distributed over the range
599 * Return value: A random number.
605 G_LOCK (global_random
);
607 global_random
= g_rand_new ();
609 result
= g_rand_int (global_random
);
610 G_UNLOCK (global_random
);
615 * g_random_int_range:
616 * @begin: lower closed bound of the interval.
617 * @end: upper open bound of the interval.
619 * Returns a random #gint32 equally distributed over the range
622 * Return value: A random number.
625 g_random_int_range (gint32 begin
, gint32 end
)
628 G_LOCK (global_random
);
630 global_random
= g_rand_new ();
632 result
= g_rand_int_range (global_random
, begin
, end
);
633 G_UNLOCK (global_random
);
640 * Returns a random #gdouble equally distributed over the range [0..1).
642 * Return value: A random number.
645 g_random_double (void)
648 G_LOCK (global_random
);
650 global_random
= g_rand_new ();
652 result
= g_rand_double (global_random
);
653 G_UNLOCK (global_random
);
658 * g_random_double_range:
659 * @begin: lower closed bound of the interval.
660 * @end: upper open bound of the interval.
662 * Returns a random #gdouble equally distributed over the range [@begin..@end).
664 * Return value: A random number.
667 g_random_double_range (gdouble begin
, gdouble end
)
670 G_LOCK (global_random
);
672 global_random
= g_rand_new ();
674 result
= g_rand_double_range (global_random
, begin
, end
);
675 G_UNLOCK (global_random
);
681 * @seed: a value to reinitialize the global random number generator.
683 * Sets the seed for the global random number generator, which is used
684 * by the <function>g_random_*</function> functions, to @seed.
687 g_random_set_seed (guint32 seed
)
689 G_LOCK (global_random
);
691 global_random
= g_rand_new_with_seed (seed
);
693 g_rand_set_seed (global_random
, seed
);
694 G_UNLOCK (global_random
);