static int
ltm_rsa_generate_key(RSA *rsa, int bits, BIGNUM *e, BN_GENCB *cb)
{
mp_int el, p, q, n, d, dmp1, dmq1, iqmp, t1, t2, t3;
int counter, ret, bitsp;
if (bits < 789)
return -1;
bitsp = (bits + 1) / 2;
ret = -1;
mp_init_multi(&el, &p, &q, &n, &d,
&dmp1, &dmq1, &iqmp,
&t1, &t2, &t3, NULL);
BN2mpz(&el, e);
/* generate p and q so that p != q and bits(pq) ~ bits */
counter = 0;
do {
BN_GENCB_call(cb, 2, counter++);
CHECK(random_num(&p, bitsp), 0);
CHECK(mp_find_prime(&p), MP_YES);
mp_sub_d(&p, 1, &t1);
mp_gcd(&t1, &el, &t2);
} while(mp_cmp_d(&t2, 1) != 0);
BN_GENCB_call(cb, 3, 0);
counter = 0;
do {
BN_GENCB_call(cb, 2, counter++);
CHECK(random_num(&q, bits - bitsp), 0);
CHECK(mp_find_prime(&q), MP_YES);
if (mp_cmp(&p, &q) == 0) /* don't let p and q be the same */
continue;
mp_sub_d(&q, 1, &t1);
mp_gcd(&t1, &el, &t2);
} while(mp_cmp_d(&t2, 1) != 0);
/* make p > q */
if (mp_cmp(&p, &q) < 0) {
mp_int c;
c = p;
p = q;
q = c;
}
BN_GENCB_call(cb, 3, 1);
/* calculate n, n = p * q */
mp_mul(&p, &q, &n);
/* calculate d, d = 1/e mod (p - 1)(q - 1) */
mp_sub_d(&p, 1, &t1);
mp_sub_d(&q, 1, &t2);
mp_mul(&t1, &t2, &t3);
mp_invmod(&el, &t3, &d);
/* calculate dmp1 dmp1 = d mod (p-1) */
mp_mod(&d, &t1, &dmp1);
/* calculate dmq1 dmq1 = d mod (q-1) */
mp_mod(&d, &t2, &dmq1);
/* calculate iqmp iqmp = 1/q mod p */
mp_invmod(&q, &p, &iqmp);
/* fill in RSA key */
rsa->e = mpz2BN(&el);
rsa->p = mpz2BN(&p);
rsa->q = mpz2BN(&q);
rsa->n = mpz2BN(&n);
rsa->d = mpz2BN(&d);
rsa->dmp1 = mpz2BN(&dmp1);
rsa->dmq1 = mpz2BN(&dmq1);
rsa->iqmp = mpz2BN(&iqmp);
ret = 1;
out:
mp_clear_multi(&el, &p, &q, &n, &d,
&dmp1, &dmq1, &iqmp,
&t1, &t2, &t3, NULL);
return ret;
}
static int
ltm_dh_generate_key(DH *dh)
{
mp_int pub, priv_key, g, p;
int have_private_key = (dh->priv_key != NULL);
int codes, times = 0;
int res;
if (dh->p == NULL || dh->g == NULL)
return 0;
while (times++ < DH_NUM_TRIES) {
if (!have_private_key) {
size_t bits = BN_num_bits(dh->p);
if (dh->priv_key)
BN_free(dh->priv_key);
dh->priv_key = BN_new();
if (dh->priv_key == NULL)
return 0;
if (!BN_rand(dh->priv_key, bits - 1, 0, 0)) {
BN_clear_free(dh->priv_key);
dh->priv_key = NULL;
return 0;
}
}
if (dh->pub_key)
BN_free(dh->pub_key);
mp_init_multi(&pub, &priv_key, &g, &p, NULL);
BN2mpz(&priv_key, dh->priv_key);
BN2mpz(&g, dh->g);
BN2mpz(&p, dh->p);
res = mp_exptmod(&g, &priv_key, &p, &pub);
mp_clear_multi(&priv_key, &g, &p, NULL);
if (res != 0)
continue;
dh->pub_key = mpz2BN(&pub);
mp_clear(&pub);
if (dh->pub_key == NULL)
return 0;
if (DH_check_pubkey(dh, dh->pub_key, &codes) && codes == 0)
break;
if (have_private_key)
return 0;
}
if (times >= DH_NUM_TRIES) {
if (!have_private_key && dh->priv_key) {
BN_free(dh->priv_key);
dh->priv_key = NULL;
}
if (dh->pub_key) {
BN_free(dh->pub_key);
dh->pub_key = NULL;
}
return 0;
}
return 1;
}
static int
gmp_rsa_generate_key(RSA *rsa, int bits, BIGNUM *e, BN_GENCB *cb)
{
mpz_t el, p, q, n, d, dmp1, dmq1, iqmp, t1, t2, t3;
int counter, ret;
if (bits < 789)
return -1;
ret = -1;
mpz_init(el);
mpz_init(p);
mpz_init(q);
mpz_init(n);
mpz_init(d);
mpz_init(dmp1);
mpz_init(dmq1);
mpz_init(iqmp);
mpz_init(t1);
mpz_init(t2);
mpz_init(t3);
BN2mpz(el, e);
/* generate p and q so that p != q and bits(pq) ~ bits */
counter = 0;
do {
BN_GENCB_call(cb, 2, counter++);
random_num(p, bits / 2 + 1);
mpz_nextprime(p, p);
mpz_sub_ui(t1, p, 1);
mpz_gcd(t2, t1, el);
} while(mpz_cmp_ui(t2, 1) != 0);
BN_GENCB_call(cb, 3, 0);
counter = 0;
do {
BN_GENCB_call(cb, 2, counter++);
random_num(q, bits / 2 + 1);
mpz_nextprime(q, q);
mpz_sub_ui(t1, q, 1);
mpz_gcd(t2, t1, el);
} while(mpz_cmp_ui(t2, 1) != 0);
/* make p > q */
if (mpz_cmp(p, q) < 0)
mpz_swap(p, q);
BN_GENCB_call(cb, 3, 1);
/* calculate n, n = p * q */
mpz_mul(n, p, q);
/* calculate d, d = 1/e mod (p - 1)(q - 1) */
mpz_sub_ui(t1, p, 1);
mpz_sub_ui(t2, q, 1);
mpz_mul(t3, t1, t2);
mpz_invert(d, el, t3);
/* calculate dmp1 dmp1 = d mod (p-1) */
mpz_mod(dmp1, d, t1);
/* calculate dmq1 dmq1 = d mod (q-1) */
mpz_mod(dmq1, d, t2);
/* calculate iqmp iqmp = 1/q mod p */
mpz_invert(iqmp, q, p);
/* fill in RSA key */
rsa->e = mpz2BN(el);
rsa->p = mpz2BN(p);
rsa->q = mpz2BN(q);
rsa->n = mpz2BN(n);
rsa->d = mpz2BN(d);
rsa->dmp1 = mpz2BN(dmp1);
rsa->dmq1 = mpz2BN(dmq1);
rsa->iqmp = mpz2BN(iqmp);
ret = 1;
mpz_clear(el);
mpz_clear(p);
mpz_clear(q);
mpz_clear(n);
mpz_clear(d);
mpz_clear(dmp1);
mpz_clear(dmq1);
mpz_clear(iqmp);
mpz_clear(t1);
mpz_clear(t2);
mpz_clear(t3);
return ret;
}
