/* Random initialization for P-1 and P+1. Copyright 2005, 2006, 2008 Paul Zimmermann, Alexander Kruppa, Dave Newman. This file is part of the ECM Library. The ECM 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 3 of the License, or (at your option) any later version. The ECM 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 the ECM Library; see the file COPYING.LIB. If not, see http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include # include "ecm-impl.h" #ifdef HAVE_UNISTD_H # include /* getpid */ #endif #if HAVE_SYS_TIME_H # include #endif #include #if defined (_MSC_VER) || defined (__MINGW32__) # include # include #endif /* initialize the random number generator if needed */ void init_randstate (gmp_randstate_t rng) { if (mpz_cmp_ui (rng->_mp_seed, 0) == 0) gmp_randseed_ui (rng, get_random_ul ()); } /* put in 'a' a valid random seed for P-1, i.e. gcd(a,n)=1 and a <> {-1,1} */ void pm1_random_seed (mpz_t a, mpz_t n, gmp_randstate_t randstate) { mpz_t q; init_randstate (randstate); mpz_init (q); do { mpz_urandomb (a, randstate, 32); mpz_gcd (q, a, n); } while (mpz_cmp_ui (q, 1) != 0 || mpz_cmp_ui (a, 1) == 0 || mpz_cmp_si (a, -1) == 0); mpz_clear (q); } /* put in seed a valid random seed for P+1 */ void pp1_random_seed (mpz_t seed, mpz_t n, gmp_randstate_t randstate) { mpz_t q; init_randstate (randstate); /* need gcd(p^2-4, n) = 1. */ mpz_init (q); do { mpz_urandomb (q, randstate, 32); mpz_add_ui (q, q, 1); mpz_set (seed, q); mpz_mul (q, q, q); mpz_sub_ui (q, q, 4); mpz_gcd (q, q, n); } while (mpz_cmp_ui (q, 1) != 0); mpz_clear (q); } /* Produces a random unsigned long value */ #if defined (_MSC_VER) || defined (__MINGW32__) unsigned long get_random_ul (void) { SYSTEMTIME tv; HCRYPTPROV Prov; if (CryptAcquireContext (&Prov, NULL, NULL, PROV_RSA_FULL, CRYPT_VERIFYCONTEXT)) { int r; unsigned long rnd; r = CryptGenRandom (Prov, sizeof (unsigned long), (void *) &rnd); CryptReleaseContext (Prov, 0); if (r) return rnd; } GetSystemTime (&tv); /* This gets us 27 bits of somewhat "random" data based on the time clock. It would probably do the program justice if a better random mixing was done in the non-MinGW get_random_ul if /dev/random does not exist */ return ((tv.wHour<<22)+(tv.wMinute<<16)+(tv.wSecond<<10)+tv.wMilliseconds) ^ ((tv.wMilliseconds<<17)+(tv.wMinute<<11)+(tv.wHour<<6)+tv.wSecond); } #else unsigned long get_random_ul (void) { FILE *rndfd; unsigned long t; /* Try /dev/urandom. Warning: this is slow for small numbers or B1. */ rndfd = fopen ("/dev/urandom", "rb"); if (rndfd != NULL) { int res; res = fread (&t, sizeof (unsigned long), 1, rndfd); fclose (rndfd); if (res == 1) return t; } /* Multiply by large primes to get a bit of avalanche effect */ return (unsigned long) time (NULL) * 1431655751UL + (unsigned long) getpid () * 2147483629UL; } #endif