1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178
|
/* Random initialization for P-1 and P+1.
Copyright 2005 Paul Zimmermann and Alexander Kruppa.
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 2.1 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, write to
the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
MA 02110-1301, USA.
*/
#include <stdio.h>
#include <stdlib.h>
#ifdef OUTSIDE_LIBECM
# include "ecm-ecm.h"
#else
# include "ecm-impl.h"
#endif
#ifdef HAVE_UNISTD_H
# include <unistd.h> /* getpid */
#endif
#ifdef TIME_WITH_SYS_TIME
# include <sys/time.h>
# include <time.h>
#else
# if HAVE_SYS_TIME_H
# include <sys/time.h>
# else
# include <time.h>
# endif
#endif
#if defined (_MSC_VER) || defined (__MINGW32__)
# include <windows.h>
# include <wincrypt.h>
#endif
#if 0 /* dirty hack until outputf gets fixed */
#ifdef outputf
# undef outputf
# define outputf(x,y) printf(y)
#endif
#endif
/* 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;
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;
/* 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 int value */
#if defined (_MSC_VER) || defined (__MINGW32__)
unsigned int
get_random_ui (void)
{
SYSTEMTIME tv;
HCRYPTPROV Prov;
if (CryptAcquireContext (&Prov, NULL, NULL, PROV_RSA_FULL,
CRYPT_VERIFYCONTEXT))
{
int r;
unsigned int rnd;
r = CryptGenRandom (Prov, sizeof (unsigned int), (void *) &rnd);
CryptReleaseContext (Prov, 0);
if (r)
{
#ifndef OUTSIDE_LIBECM /* warning: outputf is not exported from libecm */
outputf (OUTPUT_DEVVERBOSE, "Got seed for RNG from CryptGenRandom\n");
#endif
return rnd;
}
}
#ifndef OUTSIDE_LIBECM /* warning: outputf is not exported from libecm */
outputf (OUTPUT_DEVVERBOSE, "Got seed for RNG from GetSystemTime\n");
#endif
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_ui 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 int
get_random_ui (void)
{
FILE *rndfd;
struct timeval tv;
unsigned int t;
/* Try /dev/urandom */
rndfd = fopen ("/dev/urandom", "r");
if (rndfd != NULL)
{
if (fread (&t, sizeof (unsigned int), 1, rndfd) == 1)
{
#ifndef OUTSIDE_LIBECM /* warning: outputf is not exported from libecm */
outputf (OUTPUT_DEVVERBOSE, "Got seed for RNG from /dev/urandom\n");
#endif
fclose (rndfd);
return t;
}
fclose (rndfd);
}
#ifdef HAVE_GETTIMEOFDAY
if (gettimeofday (&tv, NULL) == 0)
{
#ifndef OUTSIDE_LIBECM
outputf (OUTPUT_DEVVERBOSE, "Got seed for RNG from gettimeofday()\n");
#endif
return tv.tv_sec + tv.tv_usec;
}
#endif
#ifndef OUTSIDE_LIBECM
outputf (OUTPUT_DEVVERBOSE, "Got seed for RNG from time()+getpid()\n");
#endif
/* Multiply one value by a large prime to get a bit of avalance effect */
return time (NULL) + getpid () * 2147483629;
}
#endif
|