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t_conf.c
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/*
* Copyright (c) 1997-2007 The Stanford SRP Authentication Project
* All Rights Reserved.
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS-IS" AND WITHOUT WARRANTY OF ANY KIND,
* EXPRESS, IMPLIED OR OTHERWISE, INCLUDING WITHOUT LIMITATION, ANY
* WARRANTY OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE.
*
* IN NO EVENT SHALL STANFORD BE LIABLE FOR ANY SPECIAL, INCIDENTAL,
* INDIRECT OR CONSEQUENTIAL DAMAGES OF ANY KIND, OR ANY DAMAGES WHATSOEVER
* RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER OR NOT ADVISED OF
* THE POSSIBILITY OF DAMAGE, AND ON ANY THEORY OF LIABILITY, ARISING OUT
* OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*
* Redistributions in source or binary form must retain an intact copy
* of this copyright notice.
*/
#include <stdio.h>
#include "t_defines.h"
#include "t_pwd.h"
#include "t_read.h"
#include "srp_aux.h"
/* Master builtin parameter storage object */
static struct pre_struct {
struct t_preconf preconf;
int state; /* 0 == uninitialized/first time */
cstr * modbuf;
cstr * genbuf;
} pre_params[] = {
/*
{ { "HMujfBWu4LfBFA0j3PpN7UbgUYfv.rMoMNuVRMoekpZ",
"2",
NULL }, 0 },
{ { "W2KsCfRxb3/ELBvnVWufMA0gbdBlLXbJihgZkgp3xLTKwtPCUhSOHNZ5VLb9pBGR",
"2",
NULL }, 0 },
*/
{ { "3Kn/YYiomHkFkfM1x4kayR125MGkzpLUDy3y14FlTMwYnhZkjrMXnoC2TcFAecNlU5kFzgcpKYUbBOPZFRtyf3",
"2",
NULL }, 0 },
{ { "CbDP.jR6YD6wAj2ByQWxQxQZ7.9J9xkn2.Uqb3zVm16vQyizprhBw9hi80psatZ8k54vwZfiIeEHZVsDnyqeWSSIpWso.wh5GD4OFgdhVI3",
"2",
NULL }, 0 },
{ { "iqJ7nFZ4bGCRjE1F.FXEwL085Zb0kLM2TdHDaVVCdq0cKxvnH/0FLskJTKlDtt6sDl89dc//aEULTVFGtcbA/tDzc.bnFE.DWthQOu2n2JwKjgKfgCR2lZFWXdnWmoOh",
"2",
NULL }, 0 },
{ { "///////////93zgY8MZ2DCJ6Oek0t1pHAG9E28fdp7G22xwcEnER8b5A27cED0JTxvKPiyqwGnimAmfjybyKDq/XDMrjKS95v8MrTc9UViRqJ4BffZes8F//////////",
"7",
"oakley prime 1" }, 0 },
{ { "Ewl2hcjiutMd3Fu2lgFnUXWSc67TVyy2vwYCKoS9MLsrdJVT9RgWTCuEqWJrfB6uE3LsE9GkOlaZabS7M29sj5TnzUqOLJMjiwEzArfiLr9WbMRANlF68N5AVLcPWvNx6Zjl3m5Scp0BzJBz9TkgfhzKJZ.WtP3Mv/67I/0wmRZ",
"2",
NULL }, 0 },
{ { "F//////////oG/QeY5emZJ4ncABWDmSqIa2JWYAPynq0Wk.fZiJco9HIWXvZZG4tU.L6RFDEaCRC2iARV9V53TFuJLjRL72HUI5jNPYNdx6z4n2wQOtxMiB/rosz0QtxUuuQ/jQYP.bhfya4NnB7.P9A6PHxEPJWV//////////",
"5",
"oakley prime 2" }, 0 },
#ifdef DRPRIMES
{ { "F///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////m3C47",
"5",
"1036-bit DR prime" }, 0 },
#endif
{ { "3NUKQ2Re4P5BEK0TLg2dX3gETNNNECPoe92h4OVMaDn3Xo/0QdjgG/EvM.hiVV1BdIGklSI14HA38Mpe5k04juR5/EXMU0r1WtsLhNXwKBlf2zEfoOh0zVmDvqInpU695f29Iy7sNW3U5RIogcs740oUp2Kdv5wuITwnIx84cnO.e467/IV1lPnvMCr0pd1dgS0a.RV5eBJr03Q65Xy61R",
"2",
NULL }, 0 },
{ { "dUyyhxav9tgnyIg65wHxkzkb7VIPh4o0lkwfOKiPp4rVJrzLRYVBtb76gKlaO7ef5LYGEw3G.4E0jbMxcYBetDy2YdpiP/3GWJInoBbvYHIRO9uBuxgsFKTKWu7RnR7yTau/IrFTdQ4LY/q.AvoCzMxV0PKvD9Odso/LFIItn8PbTov3VMn/ZEH2SqhtpBUkWtmcIkEflhX/YY/fkBKfBbe27/zUaKUUZEUYZ2H2nlCL60.JIPeZJSzsu/xHDVcx",
"2",
NULL }, 0 },
{ { "2iQzj1CagQc/5ctbuJYLWlhtAsPHc7xWVyCPAKFRLWKADpASkqe9djWPFWTNTdeJtL8nAhImCn3Sr/IAdQ1FrGw0WvQUstPx3FO9KNcXOwisOQ1VlL.gheAHYfbYyBaxXL.NcJx9TUwgWDT0hRzFzqSrdGGTN3FgSTA1v4QnHtEygNj3eZ.u0MThqWUaDiP87nqha7XnT66bkTCkQ8.7T8L4KZjIImrNrUftedTTBi.WCi.zlrBxDuOM0da0JbUkQlXqvp0yvJAPpC11nxmmZOAbQOywZGmu9nhZNuwTlxjfIro0FOdthaDTuZRL9VL7MRPUDo/DQEyW.d4H.UIlzp",
"2",
NULL }, 0 },
#ifdef DRPRIMES
{ { "3////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////m8MPh",
"2",
"2072-bit DR prime" }, 0 },
#endif
{ { "///////////93zgY8MZ2DCJ6Oek0t1pHAG9E28fdp7G22xwcEnER8b5A27cED0JTxvKPiyqwGnimAmfjybyKDq/XDMrjKS95v8MrTc9UViRqJ4BffZVjQml/NBRq1hVjxZXh.rg9dwMkdoGHV4iVvaaePb7iv5izmW1ykA5ZlmMOsaWs75NJccaMFwZz9CzVWsLT8zoZhPOSOlDM88LIkvxLAGTmbfPjPmmrJagyc0JnT6m8oXWXV3AGNaOkDiuxuvvtB1WEXWER9uEYx0UYZxN5NV1lJ5B9tYlBzfLO5nWvbKbywfLgvHNI9XYO.WKG5NAEMeggn2sjCnSD151wCwXL8QlV7BfaxFk515ZRxmgAwd5NNGOCVREN3uMcuUJ7g/MkZDi9CzSUZ9JWIYLXdSxZqYOQqkvhyI/w1jcA26JOTW9pFiXgP58VAnWNUo0Ck.4NLtfXNMnt2OZ0kjb6uWZYJw1qvQinGzjR/E3z48vBWj4WgJhIol//////////",
"5",
"3072-bit MODP prime" }, 0 },
{ { "F//////////oG/QeY5emZJ4ncABWDmSqIa2JWYAPynq0Wk.fZiJco9HIWXvZZG4tU.L6RFDEaCRC2iARV9V53TFuJLjRL72HUI5jNPYNdx6z4n2wQOtxMiB/rosz0QtxUuuQ/jQYP.bhfya4NnB7.P9A6PHxEHRFS80VBYXOxy5cDf8DXnLqvff5Z.e/IJFNuDbNIFSewsM76BpLY25KhkUrIa7S9QMRMSCDKvAl9W4yNHi2CeO8Nmoa5v6BZREE.EUTomO3eO3coU3ekm7ee.rnLtmRqnIoTuho/QLM1SOEPL9VEgLQkKLqYOOcFe541LoZbgAgiGjhJCN3GHGUZEeLI6htnowPEpxXGHOs.yAYkfnLrq637spbm.5fk7anwlrhepR2JFN7eoKu4ebOPtEuz8c6jBkQ/4l.WRPYWXas7O2Spx8QcHI7oiO5tiW3BlX5rTwOLriTmc8mBhPHk88ua.WTEMhCKFRM/pW/H2EIuBH8AaX204QSZmIfuVcruXncX2zkbiccSCd66hquZmQb6WqjXKBsYM3wSegr4pesxl2smJUZlakZlmK7xxAfYXyMKTEQy1TcRAMJw2Gmw8ZEw66KLldxHzXAN3EujUlk1lTTY5mI1pG1f4drR1QgPEqwfYDZzt1Xl.tt92cm8zDz3N9D0OncV//////////",
"5",
"4096-bit MODP prime" }, 0 },
#ifdef DRPRIMES
{ { "/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////m8pOF",
"B",
"4116-bit DR prime" }, 0 },
#endif
{ { "///////////93zgY8MZ2DCJ6Oek0t1pHAG9E28fdp7G22xwcEnER8b5A27cED0JTxvKPiyqwGnimAmfjybyKDq/XDMrjKS95v8MrTc9UViRqJ4BffZVjQml/NBRq1hVjxZXh.rg9dwMkdoGHV4iVvaaePb7iv5izmW1ykA5ZlmMOsaWs75NJccaMFwZz9CzVWsLT8zoZhPOSOlDM88LIkvxLAGTmbfPjPmmrJagyc0JnT6m8oXWXV3AGNaOkDiuxuvvtB1WEXWER9uEYx0UYZxN5NV1lJ5B9tYlBzfLO5nWvbKbywfLgvHNI9XYO.WKG5NAEMeggn2sjCnSD151wCwXL8QlV7BfaxFk515ZRxmgAwd5NNGOCVREN3uMcuUJ7g/MkZDi9CzSUZ9JWIYLXdSxZqYOQqkvhyI/w1jcA26JOTW9pFiXgP58VAnWNUo0Ck.4NLtfXNMnt2OZ0kjb6uWZYJw1qvQinGzjR/E3z48vBWj4WgI480HfoF1AdX.RNY76Q4BswMoQPmoSOQlJYF1gKQ3Is5GlQ9OFfoYhKJEZRkyBR1DwE.IwE/1GVligcA7nPHqvhm5sPifPFe933eYCxeOPHM.Vj7s4fSCxYrw.u6zrs8N187D06aIVLi5gfaxJgc8sFtS66/xVSaAR0ZqtqDSaq0eIIDiFwjD9yS2R1rDooO2P6tibr7dOzkZUz.F.K1gsUKmxbspWlGJ01hh1gK.sG9zWn5vSdi8PQYHZQFjlhpviKxKJERBhErBiRstyKH.RC9Kip855HAzUlGc.uz04tZDA/MOFA0SPBakpmCkeLqN8T0/I2ryvkTFxsrLvmBqQO38Arg40na0iSdbddoN..n.Zp8wbwVZRCYBuF7KMt/rXQnKlK1x8hGLIgp8zjVhz8uTWKp5xI3u0tuAUN5Uxoc.Ce1g7LYxV5sdRrKAezYX./yEiPpB6Z4zLSsbR9x2xobZ8uV.ZNRZm4Q0G.ZsO/I63k4hyjMmjqTDRcbFaURSn09F//////////",
"5",
"6144-bit MODP prime" }, 0 },
{ { "3//////////yaFsg8XQC8qnCPYYu3S7D4f0au8YcVCT08BlgOx4viYKKe8UOuq1DtlbHcppJf36p0h2ctoNnGtJ.4rRMrHmaNaXRLsObv.nlHCGkccD.rh2/zSjlG6j.tkE6lxMecVfQwV915yIn/cIIXcKUpaMpt207oueME/1PZQI3OSLTEQQHO/gFqapr.3PLqZtAEjbXnYyrOWXLAxdjKf1t2Mbcrd33LEIhoO1F5qR0ZA625yCf1UHYuspZlZddSi60w60vidWwBi1wAFjSLTy6zCKidUAylsbLWN63cLINpgbMhb5T8c69Zw1H0LSevQYgh4BQqp5mq4K7epg5KXgzySkcJi.uK4MDll2ehgSLTT1WnzivSFXQRXvCUhzQwCsmaprnwCbE1A9M6TpkFI9XhIxclnB/e6sOe8PDXs0dC.o6faKXyh61Tx80oxuHTNUc5TR7S9YC2wsKRY2E9Fe7Jbgp53srlyuFqGZak2qI2f8GW16d8y4gU7vjU8SPeGlRfR9fd39nXgzE8y6fHeDBOL2zebW.dAAjHCwDkxmji4texvBexy51..ogOeV5b7Jcl0NPcoba.WaCEY8pkXXb5Rv.qVOIbmpkBNhxWRtNOXS4WSq0QH9zMmMgcJjEgOZO/TmOR/jzoGfi2FJVGroJG2X98sm/gqqdnm9i7KtB9W9aRUoNKUTZswDxtu/vG6hPvJ3kNRE2z1C06ki6fJxP0ds34NboUmXbg96De.s.lFcnJjHCvikixKknlRVnH7vimbIpCWKL4hrwz2RxZq0JUCqhzPWye1nakIxF0owXNHSXq3z8BNpcvq/lRLNd0lHfWCWhMeG36G2noUMUV9Vxx7wFCZgNf.Dio8lWyTHRV/M5h5IzG7iYj1LAhCZsr.lqZXs1JCNj8FW3VWfvSLxlARuoW6eTMBjyNQTlLGgZsA7x/mwndCiQCJrLpQLidiBlAMCZX/wDTkF0He13wFPZz8OEuIlorR2tHqrkQK.HvjlX5PTAEIRnB.vUGuTtosgJBVZDY.nD1pkJ6wEyWojesTqm1q7wU/Yln7xILszfDhf2HcEgjZd5hazMWq8xHqA/79U2EF5ilZdMKju/sullo4YjaY8Yu4f0Dy1nFhLwWQ8/37D7FyP6pgC6jBoyY6BuE5tVgTIt.Ym8VeUMWp0.rRtJe6Appriw9ufcqg4/W/HFWjtp4Eu7IhQZP5b.YPe2LTmMJp7CK8HeKT.Qj86LtjVg6nrH2zVkTDS/hpQyCUpw9eDP16zEk7dv902KEBI1niruYQ02xLxZWhoHaDflm2RaULMEH7LdVfgfumKE9sLfJVo1zMw82vRd5WoO3TcEtJt///////////",
"J",
"8192-bit MODP prime" }, 0 }
};
_TYPE( int )
t_getprecount()
{
return (sizeof(pre_params) / sizeof(struct pre_struct));
}
_TYPE( struct t_preconf * )
t_getpreparam(idx)
int idx;
{
if(idx >= t_getprecount())
return NULL;
if(pre_params[idx].state == 0) {
/* Wire up storage */
pre_params[idx].modbuf = cstr_new();
pre_params[idx].genbuf = cstr_new();
/* Convert from b64 to t_num */
pre_params[idx].preconf.modulus.len = t_cstrfromb64(pre_params[idx].modbuf, pre_params[idx].preconf.mod_b64);
pre_params[idx].preconf.generator.len = t_cstrfromb64(pre_params[idx].genbuf, pre_params[idx].preconf.gen_b64);
pre_params[idx].preconf.modulus.data = pre_params[idx].modbuf->data;
pre_params[idx].preconf.generator.data = pre_params[idx].genbuf->data;
pre_params[idx].state = 1;
}
return &(pre_params[idx].preconf);
}
_TYPE( struct t_conf * )
t_openconf(fp)
FILE * fp;
{
struct t_conf * tc;
char close_flag = 0;
if(fp == NULL) { /* NULL means to open the system default file */
if((fp = fopen(DEFAULT_CONF, "r")) == NULL)
return NULL;
close_flag = 1;
}
else
close_flag = 0; /* If it's a real fd, don't close it automatically */
if((tc = malloc(sizeof(struct t_conf))) == NULL)
return NULL;
tc->instream = fp;
tc->close_on_exit = close_flag;
tc->modbuf = cstr_new();
tc->genbuf = cstr_new();
return tc;
}
_TYPE( struct t_conf * )
t_openconfbyname(confname)
const char * confname;
{
FILE * fp;
struct t_conf * t;
if(confname == NULL)
return t_openconf(NULL);
if((fp = fopen(confname, "r")) == NULL)
return NULL;
t = t_openconf(fp);
t->close_on_exit = 1; /* Since we opened it, we should close it */
return t;
}
_TYPE( void )
t_closeconf(tc)
struct t_conf * tc;
{
if(tc->close_on_exit)
fclose(tc->instream);
if(tc->modbuf)
cstr_clear_free(tc->modbuf);
if(tc->genbuf)
cstr_clear_free(tc->genbuf);
free(tc);
}
_TYPE( void )
t_rewindconf(tc)
struct t_conf * tc;
{
rewind(tc->instream);
}
_TYPE( struct t_confent * )
t_getconfent(tc)
struct t_conf * tc;
{
char indexbuf[16];
cstr * b64buf = cstr_new();
while(1) {
if(t_nextfield(tc->instream, indexbuf, 16) > 0 &&
(tc->tcbuf.index = atoi(indexbuf)) > 0 &&
t_nextcstrfield(tc->instream, b64buf) > 0 &&
(tc->tcbuf.modulus.len = t_cstrfromb64(tc->modbuf, b64buf->data)) > 0 &&
t_nextcstrfield(tc->instream, b64buf) > 0 &&
(tc->tcbuf.generator.len = t_cstrfromb64(tc->genbuf, b64buf->data)) > 0) {
tc->tcbuf.modulus.data = tc->modbuf->data;
tc->tcbuf.generator.data = tc->genbuf->data;
t_nextline(tc->instream);
cstr_clear_free(b64buf);
return &tc->tcbuf;
}
else if(t_nextline(tc->instream) < 0) {
cstr_clear_free(b64buf);
return NULL;
}
}
}
_TYPE( struct t_confent * )
t_getconflast(tc)
struct t_conf * tc;
{
int valid = 0;
t_rewindconf(tc);
while(t_getconfent(tc) != NULL)
valid = 1;
if(valid)
return &tc->tcbuf;
else
return NULL;
}
_TYPE( struct t_confent * )
t_getconfbyindex(tc, index)
struct t_conf * tc;
int index;
{
char indexbuf[16];
cstr * b64buf = cstr_new();
int tindex;
t_rewindconf(tc);
while(t_nextfield(tc->instream, indexbuf, 16) > 0) {
if((tindex = atoi(indexbuf)) == index)
if(t_nextcstrfield(tc->instream, b64buf) > 0 &&
(tc->tcbuf.modulus.len = t_cstrfromb64(tc->modbuf, b64buf->data)) > 0 &&
t_nextcstrfield(tc->instream, b64buf) > 0 &&
(tc->tcbuf.generator.len = t_cstrfromb64(tc->genbuf, b64buf->data)) > 0) {
tc->tcbuf.index = tindex;
tc->tcbuf.modulus.data = tc->modbuf->data;
tc->tcbuf.generator.data = tc->genbuf->data;
t_nextline(tc->instream);
cstr_clear_free(b64buf);
return &tc->tcbuf;
}
if(t_nextline(tc->instream) < 0) {
cstr_clear_free(b64buf);
return NULL;
}
}
cstr_clear_free(b64buf);
return NULL;
}
/*
* This is the safe prime generation logic.
* To generate a safe prime p (where p = 2q+1 and q is prime), we start
* with a random odd q that is one bit shorter than the desired length
* of p. We use a simple 30-element sieve to filter the values of q
* and consider only those that are 11, 23, or 29 (mod 30). (If q were
* anything else, either q or p would be divisible by 2, 3, or 5).
* For the values of q that are left, we apply the following tests in
* this order:
*
* trial divide q
* let p = 2q + 1
* trial divide p
* apply Fermat test to q (2^q == 2 (mod q))
* apply Fermat test to p (2^p == 2 (mod p))
* apply real probablistic primality test to q
* apply real probablistic primality test to p
*
* A number that passes all these tests is considered a safe prime for
* our purposes. The tests are ordered this way for efficiency; the
* slower tests are run rarely if ever at all.
*/
static int
trialdiv(x)
const BigInteger x;
{
static int primes[] = { /* All odd primes < 256 */
3, 5, 7, 11, 13, 17, 19, 23, 29,
31, 37, 41, 43, 47, 53, 59, 61, 67,
71, 73, 79, 83, 89, 97, 101, 103,
107, 109, 113, 127, 131, 137, 139, 149, 151,
157, 163, 167, 173, 179, 181, 191, 193, 197,
199, 211, 223, 227, 229, 233, 239, 241, 251
};
static int nprimes = sizeof(primes) / sizeof(int);
int i;
for(i = 0; i < nprimes; ++i) {
if(BigIntegerModInt(x, primes[i], NULL) == 0)
return primes[i];
}
return 1;
}
/* x + sieve30[x%30] == 11, 23, or 29 (mod 30) */
static int sieve30[] =
{ 11, 10, 9, 8, 7, 6, 5, 4, 3, 2,
1, 12, 11, 10, 9, 8, 7, 6, 5, 4,
3, 2, 1, 6, 5, 4, 3, 2, 1, 12
};
/* Find a Sophie-Germain prime between "lo" and "hi". NOTE: this is not
a "safe prime", but the smaller prime. Take 2q+1 to get the safe prime. */
static void
sophie_germain(q, lo, hi)
BigInteger q; /* assumed initialized */
const BigInteger lo;
const BigInteger hi;
{
BigInteger m, p, r;
cstr * parambuf;
int foundprime = 0;
int i, mod30;
m = BigIntegerFromInt(0);
BigIntegerSub(m, hi, lo);
i = BigIntegerByteLen(m);
parambuf = cstr_new();
cstr_set_length(parambuf, i);
t_random(parambuf->data, i);
r = BigIntegerFromBytes(parambuf->data, i);
cstr_clear_free(parambuf);
BigIntegerMod(r, r, m, NULL);
BigIntegerAdd(q, r, lo);
if(BigIntegerModInt(q, 2, NULL) == 0)
BigIntegerAddInt(q, q, 1); /* make q odd */
mod30 = BigIntegerModInt(q, 30, NULL); /* mod30 = q % 30 */
BigIntegerFree(m);
m = BigIntegerFromInt(2); /* m = 2 */
p = BigIntegerFromInt(0);
while(BigIntegerCmp(q, hi) < 0) {
if(trialdiv(q) < 2) {
BigIntegerMulInt(p, q, 2, NULL); /* p = 2 * q */
BigIntegerAddInt(p, p, 1); /* p += 1 */
if(trialdiv(p) < 2) {
BigIntegerModExp(r, m, q, q, NULL, NULL); /* r = 2^q % q */
if(BigIntegerCmpInt(r, 2) == 0) { /* if(r == 2) */
BigIntegerModExp(r, m, p, p, NULL, NULL); /* r = 2^p % p */
if(BigIntegerCmpInt(r, 2) == 0) { /* if(r == 2) */
if(BigIntegerCheckPrime(q, NULL) && BigIntegerCheckPrime(p, NULL)) {
++foundprime;
break;
}
}
}
}
}
i = sieve30[mod30];
BigIntegerAddInt(q, q, i); /* q += i */
mod30 = (mod30 + i) % 30;
}
/* should wrap around on failure */
if(!foundprime) {
fprintf(stderr, "Prime generation failed!\n");
exit(1);
}
BigIntegerFree(r);
BigIntegerFree(m);
BigIntegerFree(p);
}
_TYPE( struct t_confent * )
t_makeconfent(tc, nsize)
struct t_conf * tc;
int nsize;
{
BigInteger n, g, q, t, u;
t = BigIntegerFromInt(0);
u = BigIntegerFromInt(1); /* u = 1 */
BigIntegerLShift(t, u, nsize - 2); /* t = 2^(nsize-2) */
BigIntegerMulInt(u, t, 2, NULL); /* u = 2^(nsize-1) */
q = BigIntegerFromInt(0);
sophie_germain(q, t, u);
n = BigIntegerFromInt(0);
BigIntegerMulInt(n, q, 2, NULL);
BigIntegerAddInt(n, n, 1);
/* Look for a generator mod n */
g = BigIntegerFromInt(2);
while(1) {
BigIntegerModExp(t, g, q, n, NULL, NULL); /* t = g^q % n */
if(BigIntegerCmpInt(t, 1) == 0) /* if(t == 1) */
BigIntegerAddInt(g, g, 1); /* ++g */
else
break;
}
BigIntegerFree(t);
BigIntegerFree(u);
BigIntegerFree(q);
BigIntegerToCstr(n, tc->modbuf);
tc->tcbuf.modulus.data = tc->modbuf->data;
tc->tcbuf.modulus.len = tc->modbuf->length;
BigIntegerFree(n);
BigIntegerToCstr(g, tc->genbuf);
tc->tcbuf.generator.data = tc->genbuf->data;
tc->tcbuf.generator.len = tc->genbuf->length;
BigIntegerFree(g);
tc->tcbuf.index = 1;
return &tc->tcbuf;
}
_TYPE( struct t_confent * )
t_makeconfent_c(tc, nsize)
struct t_conf * tc;
int nsize;
{
BigInteger g, n, p, q, j, k, t, u;
int psize, qsize;
psize = nsize / 2;
qsize = nsize - psize;
t = BigIntegerFromInt(1); /* t = 1 */
u = BigIntegerFromInt(0);
BigIntegerLShift(u, t, psize - 3); /* u = t*2^(psize-3) = 2^(psize-3) */
BigIntegerMulInt(t, u, 3, NULL); /* t = 3*u = 1.5*2^(psize-2) */
BigIntegerAdd(u, u, t); /* u += t [u = 2^(psize-1)] */
j = BigIntegerFromInt(0);
sophie_germain(j, t, u);
k = BigIntegerFromInt(0);
if(qsize != psize) {
BigIntegerFree(t);
t = BigIntegerFromInt(1); /* t = 1 */
BigIntegerLShift(u, t, qsize - 3); /* u = t*2^(qsize-3) = 2^(qsize-3) */
BigIntegerMulInt(t, u, 3, NULL); /* t = 3*u = 1.5*2^(qsize-2) */
BigIntegerAdd(u, u, t); /* u += t [u = 2^(qsize-1)] */
}
sophie_germain(k, t, u);
p = BigIntegerFromInt(0);
BigIntegerMulInt(p, j, 2, NULL); /* p = 2 * j */
BigIntegerAddInt(p, p, 1); /* p += 1 */
q = BigIntegerFromInt(0);
BigIntegerMulInt(q, k, 2, NULL); /* q = 2 * k */
BigIntegerAddInt(q, q, 1); /* q += 1 */
n = BigIntegerFromInt(0);
BigIntegerMul(n, p, q, NULL); /* n = p * q */
BigIntegerMul(u, j, k, NULL); /* u = j * k */
BigIntegerFree(p);
BigIntegerFree(q);
BigIntegerFree(j);
BigIntegerFree(k);
g = BigIntegerFromInt(2); /* g = 2 */
/* Look for a generator mod n */
while(1) {
BigIntegerModExp(t, g, u, n, NULL, NULL); /* t = g^u % n */
if(BigIntegerCmpInt(t, 1) == 0)
BigIntegerAddInt(g, g, 1); /* ++g */
else
break;
}
BigIntegerFree(u);
BigIntegerFree(t);
BigIntegerToCstr(n, tc->modbuf);
tc->tcbuf.modulus.data = tc->modbuf->data;
tc->tcbuf.modulus.len = tc->modbuf->length;
BigIntegerFree(n);
BigIntegerToCstr(g, tc->genbuf);
tc->tcbuf.generator.data = tc->genbuf->data;
tc->tcbuf.generator.len = tc->genbuf->length;
BigIntegerFree(g);
tc->tcbuf.index = 1;
return &tc->tcbuf;
}
_TYPE( struct t_confent * )
t_newconfent(tc)
struct t_conf * tc;
{
tc->tcbuf.index = 0;
tc->tcbuf.modulus.data = tc->modbuf->data;
tc->tcbuf.modulus.len = 0;
tc->tcbuf.generator.data = tc->genbuf->data;
tc->tcbuf.generator.len = 0;
return &tc->tcbuf;
}
_TYPE( int )
t_cmpconfent(cf1, cf2)
const struct t_confent * cf1;
const struct t_confent * cf2;
{
int diff;
diff = cf1->modulus.len - cf2->modulus.len;
if(diff != 0)
return diff;
diff = cf1->generator.len - cf2->generator.len;
if(diff != 0)
return diff;
diff = memcmp(cf1->modulus.data, cf2->modulus.data, cf1->modulus.len);
if(diff != 0)
return diff;
return memcmp(cf1->generator.data, cf2->generator.data, cf1->generator.len);
}
_TYPE( void )
t_putconfent(ent, fp)
const struct t_confent * ent;
FILE * fp;
{
cstr * strbuf = cstr_new();
fprintf(fp, "%d:%s:", ent->index,
t_tob64cstr(strbuf, ent->modulus.data, ent->modulus.len));
fprintf(fp, "%s\n",
t_tob64cstr(strbuf, ent->generator.data, ent->generator.len));
cstr_clear_free(strbuf);
}
int
t_isprime(x)
BigInteger x;
{
BigInteger t;
int iscomp;
if(trialdiv(x) > 1)
return 0;
t = BigIntegerFromInt(2);
BigIntegerModExp(t, t, x, x, NULL, NULL);
iscomp = (BigIntegerCmpInt(t, 2) != 0);
BigIntegerFree(t);
if(iscomp)
return 0;
else
return BigIntegerCheckPrime(x, NULL);
}