Date: Tue, 8 Oct 1996 13:05:59 +0400 (MSD) From: "=?KOI8-R?Q?=E1=CE=C4=D2=C5=CA_=FE=C5=D2=CE=CF=D7?=" (Andrey A. Chernov) <ache@nagual.ru> To: current@freebsd.org (FreeBSD-current) Subject: Round #2 random() fix for review Message-ID: <199610080906.NAA00842@nagual.ru>
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*** random.c.orig Sat Oct 5 20:41:57 1996 --- random.c Tue Oct 8 12:08:24 1996 *************** *** 122,128 **** /* * Initially, everything is set up as if from: * ! * initstate(1, &randtbl, 128); * * Note that this initialization takes advantage of the fact that srandom() * advances the front and rear pointers 10*rand_deg times, and hence the --- 122,128 ---- /* * Initially, everything is set up as if from: * ! * initstate(1, randtbl, 128); * * Note that this initialization takes advantage of the fact that srandom() * advances the front and rear pointers 10*rand_deg times, and hence the *************** *** 135,146 **** static long randtbl[DEG_3 + 1] = { TYPE_3, 0x9a319039, 0x32d9c024, 0x9b663182, 0x5da1f342, 0xde3b81e0, 0xdf0a6fb5, 0xf103bc02, 0x48f340fb, 0x7449e56b, 0xbeb1dbb0, 0xab5c5918, 0x946554fd, 0x8c2e680f, 0xeb3d799f, 0xb11ee0b7, 0x2d436b86, 0xda672e2a, 0x1588ca88, 0xe369735d, 0x904f35f7, 0xd7158fd6, 0x6fa6f051, 0x616e6b96, 0xac94efdc, 0x36413f93, 0xc622c298, 0xf5a42ab8, 0x8a88d77b, 0xf5ad9d0e, 0x8999220b, ! 0x27fb47b9, }; /* --- 135,157 ---- static long randtbl[DEG_3 + 1] = { TYPE_3, + #ifndef USE_WEAK_SEEDING + 0x991539b1, 0x16a5bce3, 0x6774a4cd, 0x3e01511e, 0x4e508aaa, 0x61048c05, + 0xf5500617, 0x846b7115, 0x6a19892c, 0x896a97af, 0xdb48f936, 0x14898454, + 0x37ffd106, 0xb58bff9c, 0x59e17104, 0xcf918a49, 0x09378c83, 0x52c7a471, + 0x8d293ea9, 0x1f4fc301, 0xc3db71be, 0x39b44e1c, 0xf8a44ef9, 0x4c8b80b1, + 0x19edc328, 0x87bf4bdd, 0xc9b240e5, 0xe9ee4b1b, 0x4382aee7, 0x535b6b41, + 0xf3bec5da + #else /* USE_WEAK_SEEDING */ + /* Historic implementation compatibility */ + /* The random sequences do not vary much with the seed */ 0x9a319039, 0x32d9c024, 0x9b663182, 0x5da1f342, 0xde3b81e0, 0xdf0a6fb5, 0xf103bc02, 0x48f340fb, 0x7449e56b, 0xbeb1dbb0, 0xab5c5918, 0x946554fd, 0x8c2e680f, 0xeb3d799f, 0xb11ee0b7, 0x2d436b86, 0xda672e2a, 0x1588ca88, 0xe369735d, 0x904f35f7, 0xd7158fd6, 0x6fa6f051, 0x616e6b96, 0xac94efdc, 0x36413f93, 0xc622c298, 0xf5a42ab8, 0x8a88d77b, 0xf5ad9d0e, 0x8999220b, ! 0x27fb47b9 ! #endif /* USE_WEAK_SEEDING */ }; /* *************** *** 176,181 **** --- 187,221 ---- static int rand_sep = SEP_3; static long *end_ptr = &randtbl[DEG_3 + 1]; + static inline long good_rand __P((long)); + + static inline long good_rand (x) + register long x; + { + #ifndef USE_WEAK_SEEDING + /* + * Compute x = (7^5 * x) mod (2^31 - 1) + * wihout overflowing 31 bits: + * (2^31 - 1) = 127773 * (7^5) + 2836 + * From "Random number generators: good ones are hard to find", + * Park and Miller, Communications of the ACM, vol. 31, no. 10, + * October 1988, p. 1195. + */ + register long hi, lo; + + hi = x / 127773; + lo = x % 127773; + x = 16807 * lo - 2836 * hi; + if (x <= 0) + x += 0x7fffffff; + return (x); + #else /* USE_WEAK_SEEDING */ + /* Historic implementation compatibility */ + /* The random sequences do not vary much with the seed */ + return (1103515245 * x + 12345); + #endif /* USE_WEAK_SEEDING */ + } + /* * srandom: * *************** *** 192,206 **** srandom(x) unsigned int x; { ! register int i, j; if (rand_type == TYPE_0) state[0] = x; else { - j = 1; state[0] = x; for (i = 1; i < rand_deg; i++) ! state[i] = 1103515245 * state[i - 1] + 12345; fptr = &state[rand_sep]; rptr = &state[0]; for (i = 0; i < 10 * rand_deg; i++) --- 232,245 ---- srandom(x) unsigned int x; { ! register int i; if (rand_type == TYPE_0) state[0] = x; else { state[0] = x; for (i = 1; i < rand_deg; i++) ! state[i] = good_rand(state[i - 1]); fptr = &state[rand_sep]; rptr = &state[0]; for (i = 0; i < 10 * rand_deg; i++) *************** *** 349,355 **** long i; if (rand_type == TYPE_0) ! i = state[0] = (state[0] * 1103515245 + 12345) & 0x7fffffff; else { *fptr += *rptr; i = (*fptr >> 1) & 0x7fffffff; /* chucking least random bit */ --- 388,394 ---- long i; if (rand_type == TYPE_0) ! i = state[0] = good_rand(state[0]) & 0x7fffffff; else { *fptr += *rptr; i = (*fptr >> 1) & 0x7fffffff; /* chucking least random bit */ *** random.3.orig Tue Oct 8 12:49:59 1996 --- random.3 Tue Oct 8 12:58:48 1996 *************** *** 82,96 **** will produce a random binary value. .Pp ! Unlike ! .Xr srand , ! .Fn srandom ! does not return the old seed; the reason for this is that the amount of ! state information used is much more than a single word. (Two other ! routines are provided to deal with restarting/changing random ! number generators). Like .Xr rand 3 , - however, .Fn random will by default produce a sequence of numbers that can be duplicated by calling --- 82,89 ---- will produce a random binary value. .Pp ! Like .Xr rand 3 , .Fn random will by default produce a sequence of numbers that can be duplicated by calling *************** *** 161,171 **** detects that the state information has been garbled, error messages are printed on the standard error output. .Sh SEE ALSO ! .Xr rand 3 .Sh HISTORY These functions appeared in .Bx 4.2 . .Sh BUGS About 2/3 the speed of .Xr rand 3 . --- 154,171 ---- detects that the state information has been garbled, error messages are printed on the standard error output. .Sh SEE ALSO ! .Xr rand 3 , ! .Xr srand 3 .Sh HISTORY These functions appeared in .Bx 4.2 . .Sh BUGS + .Pp About 2/3 the speed of .Xr rand 3 . + .Pp + Original implementation changed to fix seeding weakness problem: + the random sequences do not vary much with the seed. Now + better pseudo-random number generator used for initial state + calculation. -- Andrey A. Chernov <ache@nagual.ru> http://www.nagual.ru/~ache/
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