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Improve generation of pseudo-random integers. (#99720, Morten Welinder
2002-12-10 Sebastian Wilhelmi <wilhelmi@ira.uka.de> * glib/grand.c (g_rand_int_range): Improve generation of pseudo-random integers. (#99720, Morten Welinder <terra@diku.dk>) * README.in, docs/reference/glib/running.sgml, docs/reference/glib/tmpl/random_numbers.sgml, docs/reference/glib/changes.sgml: Added notes about the new algorithm.
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@ -36,12 +36,18 @@ yield equally distributed numbers.
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GLib changed the seeding algorithm for the pseudo-random number
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generator Mersenne Twister, as used by <structname>GRand</structname>
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and <structname>GRandom</structname>. This was necessary, because some
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seeds would yield very bad pseudo-random streams. The original seeding
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algorithm, as found in GLib 2.0.x, can be used instead of the new one
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by setting the environment variable <envar>G_RANDOM_VERSION</envar> to
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the value of '2.0'. Use the GLib-2.0 algorithm only if you have
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sequences of numbers generated with Glib-2.0 that you need to
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reproduce exactly.
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seeds would yield very bad pseudo-random streams. Also the
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pseudo-random integers generated by
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<function>g_rand*_int_range()</function> will have a
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slightly better equal distribution with the new version of GLib.
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</para>
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<para>
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The original seeding and generation algorithms, as found in GLib 2.0.x,
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can be used instead of the new ones by setting the environment variable
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<envar>G_RANDOM_VERSION</envar> to the value of '2.0'. Use the
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GLib-2.0 algorithms only if you have sequences of numbers generated
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with Glib-2.0 that you need to reproduce exactly.
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</para>
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<!-- ##### SECTION See_Also ##### -->
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36
glib/grand.c
36
glib/grand.c
@ -285,10 +285,9 @@ g_rand_int_range (GRand* rand, gint32 begin, gint32 end)
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g_return_val_if_fail (rand != NULL, begin);
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g_return_val_if_fail (end > begin, begin);
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/* All tricks doing modulo calculations do not have a perfect
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* distribution -> We must use the slower way through gdouble for
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* maximal quality. */
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switch (get_random_version ())
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{
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case 20:
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if (dist <= 0x10000L) /* 2^16 */
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{
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/* This method, which only calls g_rand_int once is only good
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@ -313,6 +312,35 @@ g_rand_int_range (GRand* rand, gint32 begin, gint32 end)
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distribution */
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random = (gint32) g_rand_double_range (rand, 0, dist);
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}
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break;
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case 22:
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if (dist == 0)
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random = 0;
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else
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{
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/* maxvalue is set to the predecessor of the greatest
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* multiple of dist less or equal 2^32. */
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guint32 maxvalue;
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if (dist <= 0x80000000u) /* 2^31 */
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{
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/* maxvalue = 2^32 - 1 - (2^32 % dist) */
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guint32 leftover = (0x80000000u % dist) * 2;
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if (leftover >= dist) leftover -= dist;
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maxvalue = 0xffffffffu - leftover;
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}
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else
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maxvalue = dist - 1;
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do
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random = g_rand_int (rand);
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while (random > maxvalue);
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random %= dist;
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}
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break;
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default:
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g_assert_not_reached ();
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}
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return begin + random;
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}
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