On 02.07.2013 20:33, Bruce Evans wrote: > I checked the values returned by rand(). The ACM part works as > intended, so it never returns RAND_MAX. It also never returns 0. So > the distribution of values in the documented range [0, RAND_MAX] is > very non-uniform. It is uniform in [1, RAND_MAX - 1]. To use this > algorithm for rand(), 1 should have been subtracted, giving a range > of [0, 0x7ffffffe].
Do you mean [0, 0x7ffffffd] (assuming 1 subtracted)? See attached patch. I don't see compatibility problems at least from POSIX specs point of view - they don't say something specific about RAND_MAX. -- http://ache.vniz.net/ bitcoin:13fGiNutKNHcVSsgtGQ7bQ5kgUKgEQHn7N
--- stdlib.h.bak 2013-07-03 00:08:25.000000000 +0400 +++ stdlib.h 2013-07-03 00:10:17.000000000 +0400 @@ -69,7 +69,7 @@ #define EXIT_FAILURE 1 #define EXIT_SUCCESS 0 -#define RAND_MAX 0x7fffffff +#define RAND_MAX 0x7ffffffd __BEGIN_DECLS #ifdef _XLOCALE_H_ --- rand.c.bak 2013-07-03 00:08:00.000000000 +0400 +++ rand.c 2013-07-03 00:11:33.000000000 +0400 @@ -75,7 +75,8 @@ x = 16807 * lo - 2836 * hi; if (x < 0) x += 0x7fffffff; - return ((*ctx = x) % ((u_long)RAND_MAX + 1)); + *ctx = x; + return (x - 1); #endif /* !USE_WEAK_SEEDING */ }
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