/* gmp_randinit (state, algorithm, ...) -- Initialize a random state. Copyright (C) 1999, 2000 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP Library is free software; you can redistribute it and/or modify it under the terms of the GNU Library General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version. The GNU MP 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 Library General Public License for more details. You should have received a copy of the GNU Library General Public License along with the GNU MP Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. */ #if __STDC__ # include #else # include #endif #include "gmp.h" #include "gmp-impl.h" /* Array of CL-schemes, ordered in increasing order of the first member (the 'm2exp' value). The end of the array is indicated with an entry containing all zeros. */ /* All multipliers are in the range 0.01*m and 0.99*m, and are congruent to 5 (mod 8). They all pass the spectral test with Vt >= 2^(30/t) and merit >= 1. (Up to and including 196 bits, merit is >= 3.) */ struct __gmp_rand_lc_scheme_struct { unsigned long int m2exp; /* Modulus is 2 ^ m2exp. */ char *astr; /* Multiplier in string form. */ unsigned long int c; /* Adder. */ }; struct __gmp_rand_lc_scheme_struct __gmp_rand_lc_scheme[] = { {32, "43840821", 1}, {33, "85943917", 1}, {34, "171799469", 1}, {35, "343825285", 1}, {36, "687285701", 1}, {37, "1374564613", 1}, {38, "2749193437", 1}, {39, "5497652029", 1}, {40, "10995212661", 1}, {56, "47988680294711517", 1}, {64, "13469374875402548381", 1}, {100, "203786806069096950756900463357", 1}, {128, "96573135900076068624591706046897650309", 1}, {156, "43051576988660538262511726153887323360449035333", 1}, {196, "1611627857640767981443524165616850972435303571524033586421", 1}, {200, "491824250216153841876046962368396460896019632211283945747141", 1}, {256, "79336254595106925775099152154558630917988041692672147726148065355845551082677", 1}, {0, NULL, 0} /* End of array. */ }; void #if __STDC__ gmp_randinit (gmp_randstate_t rstate, gmp_randalg_t alg, ...) #else gmp_randinit (va_alist) va_dcl #endif { va_list ap; #if __STDC__ #else __gmp_randstate_struct *rstate; gmp_randalg_t alg; #endif #if __STDC__ va_start (ap, alg); #else va_start (ap); rstate = va_arg (ap, __gmp_randstate_struct *); alg = va_arg (ap, gmp_randalg_t); #endif switch (alg) { case GMP_RAND_ALG_LC: /* Linear congruential. */ { unsigned long int size; struct __gmp_rand_lc_scheme_struct *sp; mpz_t a; size = va_arg (ap, unsigned long int); /* Pick a scheme. */ for (sp = __gmp_rand_lc_scheme; sp->m2exp != 0; sp++) if (sp->m2exp / 2 >= size) break; if (sp->m2exp == 0) /* Nothing big enough found. */ { gmp_errno |= GMP_ERROR_INVALID_ARGUMENT; return; } /* Install scheme. */ mpz_init_set_str (a, sp->astr, 0); gmp_randinit_lc_2exp (rstate, a, sp->c, sp->m2exp); break; } #if 0 case GMP_RAND_ALG_BBS: /* Blum, Blum, and Shub. */ { mpz_t p, q; mpz_t ztmp; /* FIXME: Generate p and q. They must be ``large'' primes, congruent to 3 mod 4. Should we ensure that they meet some of the criterias for being ``hard primes''?*/ /* These are around 128 bits. */ mpz_init_set_str (p, "148028650191182616877187862194899201391", 10); mpz_init_set_str (q, "315270837425234199477225845240496832591", 10); /* Allocate algorithm specific data. */ rstate->data.bbs = (__gmp_rand_data_bbs *) (*_mp_allocate_func) (sizeof (__gmp_rand_data_bbs)); mpz_init (rstate->data.bbs->bi); /* The Blum integer. */ mpz_mul (rstate->data.bbs->bi, p, q); /* Find a seed, x, with gcd (x, bi) == 1. */ mpz_init (ztmp); while (1) { mpz_gcd (ztmp, seed, rstate->data.bbs->bi); if (!mpz_cmp_ui (ztmp, 1)) break; mpz_add_ui (seed, seed, 1); } rstate->alg = alg; rstate->size = size; /* FIXME: Remove. */ mpz_set (rstate->seed, seed); mpz_clear (p); mpz_clear (q); mpz_clear (ztmp); break; } #endif /* 0 */ default: /* Bad choice. */ gmp_errno |= GMP_ERROR_UNSUPPORTED_ARGUMENT; } va_end (ap); }