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/* 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 <stdarg.h>
#else
# include <varargs.h>
#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);
}
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