int ec_group_copy(EC_GROUP *dest, const EC_GROUP *src) {
if (dest->meth->group_copy == 0) {
OPENSSL_PUT_ERROR(EC, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (dest->meth != src->meth) {
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (dest == src) {
return 1;
}
ec_pre_comp_free(dest->pre_comp);
dest->pre_comp = ec_pre_comp_dup(src->pre_comp);
if (src->generator != NULL) {
if (dest->generator == NULL) {
dest->generator = EC_POINT_new(dest);
if (dest->generator == NULL) {
return 0;
}
}
if (!EC_POINT_copy(dest->generator, src->generator)) {
return 0;
}
} else {
/* src->generator == NULL */
if (dest->generator != NULL) {
EC_POINT_clear_free(dest->generator);
dest->generator = NULL;
}
}
if (!BN_copy(&dest->order, &src->order) ||
!BN_copy(&dest->cofactor, &src->cofactor)) {
return 0;
}
dest->curve_name = src->curve_name;
return dest->meth->group_copy(dest, src);
}
EC_POINT *
EC_POINT_dup(const EC_POINT * a, const EC_GROUP * group)
{
EC_POINT *t;
int r;
if (a == NULL)
return NULL;
t = EC_POINT_new(group);
if (t == NULL)
return (NULL);
r = EC_POINT_copy(t, a);
if (!r) {
EC_POINT_free(t);
return NULL;
} else
return t;
}
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor) {
if (group->curve_name != NID_undef || group->generator != NULL) {
// |EC_GROUP_set_generator| may only be used with |EC_GROUP|s returned by
// |EC_GROUP_new_curve_GFp| and may only used once on each group.
return 0;
}
// Require a cofactor of one for custom curves, which implies prime order.
if (!BN_is_one(cofactor)) {
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COFACTOR);
return 0;
}
group->generator = EC_POINT_new(group);
return group->generator != NULL &&
EC_POINT_copy(group->generator, generator) &&
BN_copy(&group->order, order);
}
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor)
{
if (generator == NULL) {
ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if (group->generator == NULL) {
group->generator = EC_POINT_new(group);
if (group->generator == NULL)
return 0;
}
if (!EC_POINT_copy(group->generator, generator))
return 0;
if (order != NULL) {
if (!BN_copy(group->order, order))
return 0;
} else
BN_zero(group->order);
if (cofactor != NULL) {
if (!BN_copy(group->cofactor, cofactor))
return 0;
} else
BN_zero(group->cofactor);
/*
* Some groups have an order with
* factors of two, which makes the Montgomery setup fail.
* |group->mont_data| will be NULL in this case.
*/
if (BN_is_odd(group->order)) {
return ec_precompute_mont_data(group);
}
BN_MONT_CTX_free(group->mont_data);
group->mont_data = NULL;
return 1;
}
EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group) {
EC_POINT *t;
int r;
if (a == NULL) {
return NULL;
}
t = EC_POINT_new(group);
if (t == NULL) {
OPENSSL_PUT_ERROR(EC, ERR_R_MALLOC_FAILURE);
return NULL;
}
r = EC_POINT_copy(t, a);
if (!r) {
EC_POINT_free(t);
return NULL;
} else {
return t;
}
}
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor) {
if (group->curve_name != NID_undef) {
/* |EC_GROUP_set_generator| should only be used with |EC_GROUP|s returned
* by |EC_GROUP_new_curve_GFp|. */
return 0;
}
if (group->generator == NULL) {
group->generator = EC_POINT_new(group);
if (group->generator == NULL) {
return 0;
}
}
if (!EC_POINT_copy(group->generator, generator)) {
return 0;
}
if (order != NULL) {
if (!BN_copy(&group->order, order)) {
return 0;
}
} else {
BN_zero(&group->order);
}
if (cofactor != NULL) {
if (!BN_copy(&group->cofactor, cofactor)) {
return 0;
}
} else {
BN_zero(&group->cofactor);
}
return 1;
}
static int eckey_priv_decode(EVP_PKEY *pkey, PKCS8_PRIV_KEY_INFO *p8)
{
const unsigned char *p = NULL;
void *pval;
int ptype, pklen;
EC_KEY *eckey = NULL;
X509_ALGOR *palg;
if (!PKCS8_pkey_get0(NULL, &p, &pklen, &palg, p8))
return 0;
X509_ALGOR_get0(NULL, &ptype, &pval, palg);
eckey = eckey_type2param(ptype, pval);
if (!eckey)
goto ecliberr;
/* We have parameters now set private key */
if (!d2i_ECPrivateKey(&eckey, &p, pklen))
{
ECerr(EC_F_ECKEY_PRIV_DECODE, EC_R_DECODE_ERROR);
goto ecerr;
}
/* calculate public key (if necessary) */
if (EC_KEY_get0_public_key(eckey) == NULL)
{
const BIGNUM *priv_key;
const EC_GROUP *group;
EC_POINT *pub_key;
/* the public key was not included in the SEC1 private
* key => calculate the public key */
group = EC_KEY_get0_group(eckey);
pub_key = EC_POINT_new(group);
if (pub_key == NULL)
{
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
if (!EC_POINT_copy(pub_key, EC_GROUP_get0_generator(group)))
{
EC_POINT_free(pub_key);
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
priv_key = EC_KEY_get0_private_key(eckey);
if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, NULL))
{
EC_POINT_free(pub_key);
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
if (EC_KEY_set_public_key(eckey, pub_key) == 0)
{
EC_POINT_free(pub_key);
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
goto ecliberr;
}
EC_POINT_free(pub_key);
}
EVP_PKEY_assign_EC_KEY(pkey, eckey);
return 1;
ecliberr:
ECerr(EC_F_ECKEY_PRIV_DECODE, ERR_R_EC_LIB);
ecerr:
if (eckey)
EC_KEY_free(eckey);
return 0;
}
void *
vg_thread_loop(void *arg)
{
unsigned char hash_buf[128];
unsigned char *eckey_buf;
unsigned char hash1[32];
int i, c, len, output_interval;
int hash_len;
const BN_ULONG rekey_max = 10000000;
BN_ULONG npoints, rekey_at, nbatch;
vg_context_t *vcp = (vg_context_t *) arg;
EC_KEY *pkey = NULL;
const EC_GROUP *pgroup;
const EC_POINT *pgen;
const int ptarraysize = 256;
EC_POINT *ppnt[ptarraysize];
EC_POINT *pbatchinc;
vg_test_func_t test_func = vcp->vc_test;
vg_exec_context_t ctx;
vg_exec_context_t *vxcp;
struct timeval tvstart;
memset(&ctx, 0, sizeof(ctx));
vxcp = &ctx;
vg_exec_context_init(vcp, &ctx);
pkey = vxcp->vxc_key;
pgroup = EC_KEY_get0_group(pkey);
pgen = EC_GROUP_get0_generator(pgroup);
for (i = 0; i < ptarraysize; i++) {
ppnt[i] = EC_POINT_new(pgroup);
if (!ppnt[i]) {
fprintf(stderr, "ERROR: out of memory?\n");
exit(1);
}
}
pbatchinc = EC_POINT_new(pgroup);
if (!pbatchinc) {
fprintf(stderr, "ERROR: out of memory?\n");
exit(1);
}
BN_set_word(&vxcp->vxc_bntmp, ptarraysize);
EC_POINT_mul(pgroup, pbatchinc, &vxcp->vxc_bntmp, NULL, NULL,
vxcp->vxc_bnctx);
EC_POINT_make_affine(pgroup, pbatchinc, vxcp->vxc_bnctx);
npoints = 0;
rekey_at = 0;
nbatch = 0;
vxcp->vxc_key = pkey;
vxcp->vxc_binres[0] = vcp->vc_addrtype;
c = 0;
output_interval = 1000;
gettimeofday(&tvstart, NULL);
if (vcp->vc_format == VCF_SCRIPT) {
hash_buf[ 0] = 0x51; // OP_1
hash_buf[ 1] = 0x41; // pubkey length
// gap for pubkey
hash_buf[67] = 0x51; // OP_1
hash_buf[68] = 0xae; // OP_CHECKMULTISIG
eckey_buf = hash_buf + 2;
hash_len = 69;
} else {
eckey_buf = hash_buf;
hash_len = 65;
}
while (!vcp->vc_halt) {
if (++npoints >= rekey_at) {
vg_exec_context_upgrade_lock(vxcp);
/* Generate a new random private key */
EC_KEY_generate_key(pkey);
npoints = 0;
/* Determine rekey interval */
EC_GROUP_get_order(pgroup, &vxcp->vxc_bntmp,
vxcp->vxc_bnctx);
BN_sub(&vxcp->vxc_bntmp2,
&vxcp->vxc_bntmp,
EC_KEY_get0_private_key(pkey));
rekey_at = BN_get_word(&vxcp->vxc_bntmp2);
if ((rekey_at == BN_MASK2) || (rekey_at > rekey_max))
rekey_at = rekey_max;
assert(rekey_at > 0);
EC_POINT_copy(ppnt[0], EC_KEY_get0_public_key(pkey));
vg_exec_context_downgrade_lock(vxcp);
npoints++;
vxcp->vxc_delta = 0;
if (vcp->vc_pubkey_base)
EC_POINT_add(pgroup,
ppnt[0],
ppnt[0],
vcp->vc_pubkey_base,
vxcp->vxc_bnctx);
for (nbatch = 1;
(nbatch < ptarraysize) && (npoints < rekey_at);
nbatch++, npoints++) {
EC_POINT_add(pgroup,
ppnt[nbatch],
ppnt[nbatch-1],
pgen, vxcp->vxc_bnctx);
}
} else {
/*
* Common case
*
* EC_POINT_add() can skip a few multiplies if
* one or both inputs are affine (Z_is_one).
* This is the case for every point in ppnt, as
* well as pbatchinc.
*/
assert(nbatch == ptarraysize);
for (nbatch = 0;
(nbatch < ptarraysize) && (npoints < rekey_at);
nbatch++, npoints++) {
EC_POINT_add(pgroup,
ppnt[nbatch],
ppnt[nbatch],
pbatchinc,
vxcp->vxc_bnctx);
}
}
/*
* The single most expensive operation performed in this
* loop is modular inversion of ppnt->Z. There is an
* algorithm implemented in OpenSSL to do batched inversion
* that only does one actual BN_mod_inverse(), and saves
* a _lot_ of time.
*
* To take advantage of this, we batch up a few points,
* and feed them to EC_POINTs_make_affine() below.
*/
EC_POINTs_make_affine(pgroup, nbatch, ppnt, vxcp->vxc_bnctx);
for (i = 0; i < nbatch; i++, vxcp->vxc_delta++) {
/* Hash the public key */
len = EC_POINT_point2oct(pgroup, ppnt[i],
POINT_CONVERSION_UNCOMPRESSED,
eckey_buf,
65,
vxcp->vxc_bnctx);
assert(len == 65);
SHA256(hash_buf, hash_len, hash1);
RIPEMD160(hash1, sizeof(hash1), &vxcp->vxc_binres[1]);
switch (test_func(vxcp)) {
case 1:
npoints = 0;
rekey_at = 0;
i = nbatch;
break;
case 2:
goto out;
default:
break;
}
}
c += i;
if (c >= output_interval) {
output_interval = vg_output_timing(vcp, c, &tvstart);
if (output_interval > 250000)
output_interval = 250000;
c = 0;
}
vg_exec_context_yield(vxcp);
}
out:
vg_exec_context_del(&ctx);
vg_context_thread_exit(vcp);
for (i = 0; i < ptarraysize; i++)
if (ppnt[i])
EC_POINT_free(ppnt[i]);
if (pbatchinc)
EC_POINT_free(pbatchinc);
return NULL;
}
void prime_field_tests()
{
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
EC_GROUP *group;
EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
EC_POINT *P, *Q, *R;
BIGNUM *x, *y, *z;
unsigned char buf[100];
size_t i, len;
int k;
#if 1 /* optional */
ctx = BN_CTX_new();
if (!ctx) ABORT;
#endif
p = BN_new();
a = BN_new();
b = BN_new();
if (!p || !a || !b) ABORT;
if (!BN_hex2bn(&p, "17")) ABORT;
if (!BN_hex2bn(&a, "1")) ABORT;
if (!BN_hex2bn(&b, "1")) ABORT;
group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp
* so that the library gets to choose the EC_METHOD */
if (!group) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
{
EC_GROUP *tmp;
tmp = EC_GROUP_new(EC_GROUP_method_of(group));
if (!tmp) ABORT;
if (!EC_GROUP_copy(tmp, group)) ABORT;
EC_GROUP_free(group);
group = tmp;
}
if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT;
fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x");
BN_print_fp(stdout, p);
fprintf(stdout, ")\n a = 0x");
BN_print_fp(stdout, a);
fprintf(stdout, "\n b = 0x");
BN_print_fp(stdout, b);
fprintf(stdout, "\n");
P = EC_POINT_new(group);
Q = EC_POINT_new(group);
R = EC_POINT_new(group);
if (!P || !Q || !R) ABORT;
if (!EC_POINT_set_to_infinity(group, P)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
buf[0] = 0;
if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
x = BN_new();
y = BN_new();
z = BN_new();
if (!x || !y || !z) ABORT;
if (!BN_hex2bn(&x, "D")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, Q, ctx))
{
if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT;
fprintf(stderr, "Point is not on curve: x = 0x");
BN_print_fp(stderr, x);
fprintf(stderr, ", y = 0x");
BN_print_fp(stderr, y);
fprintf(stderr, "\n");
ABORT;
}
fprintf(stdout, "A cyclic subgroup:\n");
k = 100;
do
{
if (k-- == 0) ABORT;
if (EC_POINT_is_at_infinity(group, P))
fprintf(stdout, " point at infinity\n");
else
{
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, " x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
}
if (!EC_POINT_copy(R, P)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
#if 0 /* optional */
{
EC_POINT *points[3];
points[0] = R;
points[1] = Q;
points[2] = P;
if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT;
}
#endif
}
while (!EC_POINT_is_at_infinity(group, P));
if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "Generator as octect string, compressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octect string, hybrid form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT;
fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", Y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, ", Z = 0x");
BN_print_fp(stdout, z);
fprintf(stdout, "\n");
if (!EC_POINT_invert(group, P, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
/* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000)
* -- not a NIST curve, but commonly used */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT;
if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 160) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_160, group)) ABORT;
/* Curve P-192 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 192) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_192, group)) ABORT;
/* Curve P-224 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT;
if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 224) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_224, group)) ABORT;
/* Curve P-256 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E"
"84F3B9CAC2FC632551")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 256) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_256, group)) ABORT;
/* Curve P-384 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141"
"120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B"
"9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14"
"7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 384) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_384, group)) ABORT;
/* Curve P-521 (FIPS PUB 186-2, App. 6) */
if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT;
if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT;
if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B"
"315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573"
"DF883D2C34F1EF451FD46B503F00")) ABORT;
if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT;
if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F"
"B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B"
"3C1856A429BF97E7E31C2E5BD66")) ABORT;
if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
"FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5"
"C9B8899C47AEBB6FB71E91386409")) ABORT;
if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT;
if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT;
fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, "\n y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
/* G_y value taken from the standard: */
if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579"
"B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C"
"7086A272C24088BE94769FD16650")) ABORT;
if (0 != BN_cmp(y, z)) ABORT;
fprintf(stdout, "verify degree ...");
if (EC_GROUP_get_degree(group) != 521) ABORT;
fprintf(stdout, " ok\n");
fprintf(stdout, "verify group order ...");
fflush(stdout);
if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
#if 0
if (!EC_GROUP_precompute_mult(group, ctx)) ABORT;
#endif
if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
fprintf(stdout, " ok\n");
if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_521, group)) ABORT;
/* more tests using the last curve */
if (!EC_POINT_copy(Q, P)) ABORT;
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
{
const EC_POINT *points[3];
const BIGNUM *scalars[3];
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
points[0] = Q;
points[1] = Q;
points[2] = Q;
if (!BN_add(y, z, BN_value_one())) ABORT;
if (BN_is_odd(y)) ABORT;
if (!BN_rshift1(y, y)) ABORT;
scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
scalars[1] = y;
fprintf(stdout, "combined multiplication ...");
fflush(stdout);
/* z is still the group order */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
if (!BN_add(z, z, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = y;
scalars[1] = z; /* z = -(order + y) */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
if (!BN_add(z, x, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = x;
scalars[1] = y;
scalars[2] = z; /* z = -(x+y) */
if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, " ok\n\n");
}
#if 0
timings(P_160, TIMING_BASE_PT, ctx);
timings(P_160, TIMING_RAND_PT, ctx);
timings(P_160, TIMING_SIMUL, ctx);
timings(P_192, TIMING_BASE_PT, ctx);
timings(P_192, TIMING_RAND_PT, ctx);
timings(P_192, TIMING_SIMUL, ctx);
timings(P_224, TIMING_BASE_PT, ctx);
timings(P_224, TIMING_RAND_PT, ctx);
timings(P_224, TIMING_SIMUL, ctx);
timings(P_256, TIMING_BASE_PT, ctx);
timings(P_256, TIMING_RAND_PT, ctx);
timings(P_256, TIMING_SIMUL, ctx);
timings(P_384, TIMING_BASE_PT, ctx);
timings(P_384, TIMING_RAND_PT, ctx);
timings(P_384, TIMING_SIMUL, ctx);
timings(P_521, TIMING_BASE_PT, ctx);
timings(P_521, TIMING_RAND_PT, ctx);
timings(P_521, TIMING_SIMUL, ctx);
#endif
if (ctx)
BN_CTX_free(ctx);
BN_free(p); BN_free(a); BN_free(b);
EC_GROUP_free(group);
EC_POINT_free(P);
EC_POINT_free(Q);
EC_POINT_free(R);
BN_free(x); BN_free(y); BN_free(z);
if (P_160) EC_GROUP_free(P_160);
if (P_192) EC_GROUP_free(P_192);
if (P_224) EC_GROUP_free(P_224);
if (P_256) EC_GROUP_free(P_256);
if (P_384) EC_GROUP_free(P_384);
if (P_521) EC_GROUP_free(P_521);
}
void
vg_output_match_console(vg_context_t *vcp, EC_KEY *pkey, const char *pattern)
{
unsigned char key_buf[512], *pend;
char addr_buf[64], addr2_buf[64];
char privkey_buf[VG_PROTKEY_MAX_B58];
const char *keytype = "Privkey";
int len;
int isscript = (vcp->vc_format == VCF_SCRIPT);
EC_POINT *ppnt;
int free_ppnt = 0;
if (vcp->vc_pubkey_base) {
ppnt = EC_POINT_new(EC_KEY_get0_group(pkey));
EC_POINT_copy(ppnt, EC_KEY_get0_public_key(pkey));
EC_POINT_add(EC_KEY_get0_group(pkey),
ppnt,
ppnt,
vcp->vc_pubkey_base,
NULL);
free_ppnt = 1;
keytype = "PrivkeyPart";
} else {
ppnt = (EC_POINT *) EC_KEY_get0_public_key(pkey);
}
assert(EC_KEY_check_key(pkey));
vg_encode_address(ppnt,
EC_KEY_get0_group(pkey),
vcp->vc_pubkeytype, addr_buf);
if (isscript)
vg_encode_script_address(ppnt,
EC_KEY_get0_group(pkey),
vcp->vc_addrtype, addr2_buf);
if (vcp->vc_key_protect_pass) {
len = vg_protect_encode_privkey(privkey_buf,
pkey, vcp->vc_privtype,
VG_PROTKEY_DEFAULT,
vcp->vc_key_protect_pass);
if (len) {
keytype = "Protkey";
} else {
fprintf(stderr,
"ERROR: could not password-protect key\n");
vcp->vc_key_protect_pass = NULL;
}
}
if (!vcp->vc_key_protect_pass) {
vg_encode_privkey(pkey, vcp->vc_privtype, privkey_buf);
}
if (!vcp->vc_result_file || (vcp->vc_verbose > 0)) {
printf("\r%79s\r\nPattern: %s\n", "", pattern);
}
if (vcp->vc_verbose > 0) {
if (vcp->vc_verbose > 1) {
pend = key_buf;
len = i2o_ECPublicKey(pkey, &pend);
printf("Pubkey (hex): ");
dumphex(key_buf, len);
printf("Privkey (hex): ");
dumpbn(EC_KEY_get0_private_key(pkey));
pend = key_buf;
len = i2d_ECPrivateKey(pkey, &pend);
printf("Privkey (ASN1): ");
dumphex(key_buf, len);
}
}
if (!vcp->vc_result_file || (vcp->vc_verbose > 0)) {
if (isscript)
printf("P2SHAddress: %s\n", addr2_buf);
printf("Address: %s\n"
"%s: %s\n",
addr_buf, keytype, privkey_buf);
}
if (vcp->vc_result_file) {
FILE *fp = fopen(vcp->vc_result_file, "a");
if (!fp) {
fprintf(stderr,
"ERROR: could not open result file: %s\n",
strerror(errno));
} else {
fprintf(fp,
"Pattern: %s\n"
, pattern);
if (isscript)
fprintf(fp, "P2SHAddress: %s\n", addr2_buf);
fprintf(fp,
"Address: %s\n"
"%s: %s\n",
addr_buf, keytype, privkey_buf);
fclose(fp);
}
}
if (free_ppnt)
EC_POINT_free(ppnt);
}
EC_KEY *EC_KEY_copy(EC_KEY *dest, const EC_KEY *src)
{
EC_EXTRA_DATA *d;
if (dest == NULL || src == NULL)
{
ECerr(EC_F_EC_KEY_COPY, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
/* copy the parameters */
if (src->group)
{
const EC_METHOD *meth = EC_GROUP_method_of(src->group);
/* clear the old group */
if (dest->group)
EC_GROUP_free(dest->group);
dest->group = EC_GROUP_new(meth);
if (dest->group == NULL)
return NULL;
if (!EC_GROUP_copy(dest->group, src->group))
return NULL;
}
/* copy the public key */
if (src->pub_key && src->group)
{
if (dest->pub_key)
EC_POINT_free(dest->pub_key);
dest->pub_key = EC_POINT_new(src->group);
if (dest->pub_key == NULL)
return NULL;
if (!EC_POINT_copy(dest->pub_key, src->pub_key))
return NULL;
}
/* copy the private key */
if (src->priv_key)
{
if (dest->priv_key == NULL)
{
dest->priv_key = BN_new();
if (dest->priv_key == NULL)
return NULL;
}
if (!BN_copy(dest->priv_key, src->priv_key))
return NULL;
}
/* copy method/extra data */
EC_EX_DATA_free_all_data(&dest->method_data);
for (d = src->method_data; d != NULL; d = d->next)
{
void *t = d->dup_func(d->data);
if (t == NULL)
return 0;
if (!EC_EX_DATA_set_data(&dest->method_data, t, d->dup_func, d->free_func, d->clear_free_func))
return 0;
}
/* copy the rest */
dest->enc_flag = src->enc_flag;
dest->conv_form = src->conv_form;
dest->version = src->version;
return dest;
}
EVP_PKEY *EVP_PKCS82PKEY(PKCS8_PRIV_KEY_INFO *p8)
{
EVP_PKEY *pkey = NULL;
#ifndef OPENSSL_NO_RSA
RSA *rsa = NULL;
#endif
#ifndef OPENSSL_NO_DSA
DSA *dsa = NULL;
ASN1_TYPE *t1, *t2;
ASN1_INTEGER *privkey;
STACK_OF(ASN1_TYPE) *ndsa = NULL;
#endif
#ifndef OPENSSL_NO_EC
EC_KEY *eckey = NULL;
const unsigned char *p_tmp;
#endif
#if !defined(OPENSSL_NO_DSA) || !defined(OPENSSL_NO_EC)
ASN1_TYPE *param = NULL;
BN_CTX *ctx = NULL;
int plen;
#endif
X509_ALGOR *a;
const unsigned char *p;
const unsigned char *cp;
int pkeylen;
int nid;
char obj_tmp[80];
if(p8->pkey->type == V_ASN1_OCTET_STRING) {
p8->broken = PKCS8_OK;
p = p8->pkey->value.octet_string->data;
pkeylen = p8->pkey->value.octet_string->length;
} else {
p8->broken = PKCS8_NO_OCTET;
p = p8->pkey->value.sequence->data;
pkeylen = p8->pkey->value.sequence->length;
}
if (!(pkey = EVP_PKEY_new())) {
EVPerr(EVP_F_EVP_PKCS82PKEY,ERR_R_MALLOC_FAILURE);
return NULL;
}
a = p8->pkeyalg;
nid = OBJ_obj2nid(a->algorithm);
switch(nid)
{
#ifndef OPENSSL_NO_RSA
case NID_rsaEncryption:
cp = p;
if (!(rsa = d2i_RSAPrivateKey (NULL,&cp, pkeylen))) {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
return NULL;
}
EVP_PKEY_assign_RSA (pkey, rsa);
break;
#endif
#ifndef OPENSSL_NO_DSA
case NID_dsa:
/* PKCS#8 DSA is weird: you just get a private key integer
* and parameters in the AlgorithmIdentifier the pubkey must
* be recalculated.
*/
/* Check for broken DSA PKCS#8, UGH! */
if(*p == (V_ASN1_SEQUENCE|V_ASN1_CONSTRUCTED)) {
if(!(ndsa = ASN1_seq_unpack_ASN1_TYPE(p, pkeylen,
d2i_ASN1_TYPE,
ASN1_TYPE_free))) {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto dsaerr;
}
if(sk_ASN1_TYPE_num(ndsa) != 2 ) {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto dsaerr;
}
/* Handle Two broken types:
* SEQUENCE {parameters, priv_key}
* SEQUENCE {pub_key, priv_key}
*/
t1 = sk_ASN1_TYPE_value(ndsa, 0);
t2 = sk_ASN1_TYPE_value(ndsa, 1);
if(t1->type == V_ASN1_SEQUENCE) {
p8->broken = PKCS8_EMBEDDED_PARAM;
param = t1;
} else if(a->parameter->type == V_ASN1_SEQUENCE) {
p8->broken = PKCS8_NS_DB;
param = a->parameter;
} else {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto dsaerr;
}
if(t2->type != V_ASN1_INTEGER) {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto dsaerr;
}
privkey = t2->value.integer;
} else {
if (!(privkey=d2i_ASN1_INTEGER (NULL, &p, pkeylen))) {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto dsaerr;
}
param = p8->pkeyalg->parameter;
}
if (!param || (param->type != V_ASN1_SEQUENCE)) {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto dsaerr;
}
cp = p = param->value.sequence->data;
plen = param->value.sequence->length;
if (!(dsa = d2i_DSAparams (NULL, &cp, plen))) {
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto dsaerr;
}
/* We have parameters now set private key */
if (!(dsa->priv_key = ASN1_INTEGER_to_BN(privkey, NULL))) {
EVPerr(EVP_F_EVP_PKCS82PKEY,EVP_R_BN_DECODE_ERROR);
goto dsaerr;
}
/* Calculate public key (ouch!) */
if (!(dsa->pub_key = BN_new())) {
EVPerr(EVP_F_EVP_PKCS82PKEY,ERR_R_MALLOC_FAILURE);
goto dsaerr;
}
if (!(ctx = BN_CTX_new())) {
EVPerr(EVP_F_EVP_PKCS82PKEY,ERR_R_MALLOC_FAILURE);
goto dsaerr;
}
if (!BN_mod_exp(dsa->pub_key, dsa->g,
dsa->priv_key, dsa->p, ctx)) {
EVPerr(EVP_F_EVP_PKCS82PKEY,EVP_R_BN_PUBKEY_ERROR);
goto dsaerr;
}
EVP_PKEY_assign_DSA(pkey, dsa);
BN_CTX_free (ctx);
if(ndsa) sk_ASN1_TYPE_pop_free(ndsa, ASN1_TYPE_free);
else ASN1_INTEGER_free(privkey);
break;
dsaerr:
BN_CTX_free (ctx);
sk_ASN1_TYPE_pop_free(ndsa, ASN1_TYPE_free);
DSA_free(dsa);
EVP_PKEY_free(pkey);
return NULL;
break;
#endif
#ifndef OPENSSL_NO_EC
case NID_X9_62_id_ecPublicKey:
p_tmp = p;
/* extract the ec parameters */
param = p8->pkeyalg->parameter;
if (!param || ((param->type != V_ASN1_SEQUENCE) &&
(param->type != V_ASN1_OBJECT)))
{
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto ecerr;
}
if (param->type == V_ASN1_SEQUENCE)
{
cp = p = param->value.sequence->data;
plen = param->value.sequence->length;
if (!(eckey = d2i_ECParameters(NULL, &cp, plen)))
{
EVPerr(EVP_F_EVP_PKCS82PKEY,
EVP_R_DECODE_ERROR);
goto ecerr;
}
}
else
{
EC_GROUP *group;
cp = p = param->value.object->data;
plen = param->value.object->length;
/* type == V_ASN1_OBJECT => the parameters are given
* by an asn1 OID
*/
if ((eckey = EC_KEY_new()) == NULL)
{
EVPerr(EVP_F_EVP_PKCS82PKEY,
ERR_R_MALLOC_FAILURE);
goto ecerr;
}
group = EC_GROUP_new_by_curve_name(OBJ_obj2nid(a->parameter->value.object));
if (group == NULL)
goto ecerr;
EC_GROUP_set_asn1_flag(group, OPENSSL_EC_NAMED_CURVE);
if (EC_KEY_set_group(eckey, group) == 0)
goto ecerr;
EC_GROUP_free(group);
}
/* We have parameters now set private key */
if (!d2i_ECPrivateKey(&eckey, &p_tmp, pkeylen))
{
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_DECODE_ERROR);
goto ecerr;
}
/* calculate public key (if necessary) */
if (EC_KEY_get0_public_key(eckey) == NULL)
{
const BIGNUM *priv_key;
const EC_GROUP *group;
EC_POINT *pub_key;
/* the public key was not included in the SEC1 private
* key => calculate the public key */
group = EC_KEY_get0_group(eckey);
pub_key = EC_POINT_new(group);
if (pub_key == NULL)
{
EVPerr(EVP_F_EVP_PKCS82PKEY, ERR_R_EC_LIB);
goto ecerr;
}
if (!EC_POINT_copy(pub_key, EC_GROUP_get0_generator(group)))
{
EC_POINT_free(pub_key);
EVPerr(EVP_F_EVP_PKCS82PKEY, ERR_R_EC_LIB);
goto ecerr;
}
priv_key = EC_KEY_get0_private_key(eckey);
if (!EC_POINT_mul(group, pub_key, priv_key, NULL, NULL, ctx))
{
EC_POINT_free(pub_key);
EVPerr(EVP_F_EVP_PKCS82PKEY, ERR_R_EC_LIB);
goto ecerr;
}
if (EC_KEY_set_public_key(eckey, pub_key) == 0)
{
EC_POINT_free(pub_key);
EVPerr(EVP_F_EVP_PKCS82PKEY, ERR_R_EC_LIB);
goto ecerr;
}
EC_POINT_free(pub_key);
}
EVP_PKEY_assign_EC_KEY(pkey, eckey);
if (ctx)
BN_CTX_free(ctx);
break;
ecerr:
if (ctx)
BN_CTX_free(ctx);
if (eckey)
EC_KEY_free(eckey);
if (pkey)
EVP_PKEY_free(pkey);
return NULL;
#endif
default:
EVPerr(EVP_F_EVP_PKCS82PKEY, EVP_R_UNSUPPORTED_PRIVATE_KEY_ALGORITHM);
if (!a->algorithm) BUF_strlcpy (obj_tmp, "NULL", sizeof obj_tmp);
else i2t_ASN1_OBJECT(obj_tmp, 80, a->algorithm);
ERR_add_error_data(2, "TYPE=", obj_tmp);
EVP_PKEY_free (pkey);
return NULL;
}
return pkey;
}
int ec_GFp_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx) {
int (*field_mul)(const EC_GROUP *, BIGNUM *, const BIGNUM *, const BIGNUM *,
BN_CTX *);
int (*field_sqr)(const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
const BIGNUM *p;
BN_CTX *new_ctx = NULL;
BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *n6;
int ret = 0;
if (a == b) {
return EC_POINT_dbl(group, r, a, ctx);
}
if (EC_POINT_is_at_infinity(group, a)) {
return EC_POINT_copy(r, b);
}
if (EC_POINT_is_at_infinity(group, b)) {
return EC_POINT_copy(r, a);
}
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
p = &group->field;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL) {
return 0;
}
}
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
n4 = BN_CTX_get(ctx);
n5 = BN_CTX_get(ctx);
n6 = BN_CTX_get(ctx);
if (n6 == NULL) {
goto end;
}
// Note that in this function we must not read components of 'a' or 'b'
// once we have written the corresponding components of 'r'.
// ('r' might be one of 'a' or 'b'.)
// n1, n2
int b_Z_is_one = BN_cmp(&b->Z, &group->one) == 0;
if (b_Z_is_one) {
if (!BN_copy(n1, &a->X) || !BN_copy(n2, &a->Y)) {
goto end;
}
// n1 = X_a
// n2 = Y_a
} else {
if (!field_sqr(group, n0, &b->Z, ctx) ||
!field_mul(group, n1, &a->X, n0, ctx)) {
goto end;
}
// n1 = X_a * Z_b^2
if (!field_mul(group, n0, n0, &b->Z, ctx) ||
!field_mul(group, n2, &a->Y, n0, ctx)) {
goto end;
}
// n2 = Y_a * Z_b^3
}
// n3, n4
int a_Z_is_one = BN_cmp(&a->Z, &group->one) == 0;
if (a_Z_is_one) {
if (!BN_copy(n3, &b->X) || !BN_copy(n4, &b->Y)) {
goto end;
}
// n3 = X_b
// n4 = Y_b
} else {
if (!field_sqr(group, n0, &a->Z, ctx) ||
!field_mul(group, n3, &b->X, n0, ctx)) {
goto end;
}
// n3 = X_b * Z_a^2
if (!field_mul(group, n0, n0, &a->Z, ctx) ||
!field_mul(group, n4, &b->Y, n0, ctx)) {
goto end;
}
// n4 = Y_b * Z_a^3
}
// n5, n6
if (!bn_mod_sub_consttime(n5, n1, n3, p, ctx) ||
!bn_mod_sub_consttime(n6, n2, n4, p, ctx)) {
goto end;
}
// n5 = n1 - n3
// n6 = n2 - n4
if (BN_is_zero(n5)) {
if (BN_is_zero(n6)) {
// a is the same point as b
BN_CTX_end(ctx);
ret = EC_POINT_dbl(group, r, a, ctx);
ctx = NULL;
goto end;
} else {
// a is the inverse of b
BN_zero(&r->Z);
ret = 1;
goto end;
}
}
// 'n7', 'n8'
if (!bn_mod_add_consttime(n1, n1, n3, p, ctx) ||
!bn_mod_add_consttime(n2, n2, n4, p, ctx)) {
goto end;
}
// 'n7' = n1 + n3
// 'n8' = n2 + n4
// Z_r
if (a_Z_is_one && b_Z_is_one) {
if (!BN_copy(&r->Z, n5)) {
goto end;
}
} else {
if (a_Z_is_one) {
if (!BN_copy(n0, &b->Z)) {
goto end;
}
} else if (b_Z_is_one) {
if (!BN_copy(n0, &a->Z)) {
goto end;
}
} else if (!field_mul(group, n0, &a->Z, &b->Z, ctx)) {
goto end;
}
if (!field_mul(group, &r->Z, n0, n5, ctx)) {
goto end;
}
}
// Z_r = Z_a * Z_b * n5
// X_r
if (!field_sqr(group, n0, n6, ctx) ||
!field_sqr(group, n4, n5, ctx) ||
!field_mul(group, n3, n1, n4, ctx) ||
!bn_mod_sub_consttime(&r->X, n0, n3, p, ctx)) {
goto end;
}
// X_r = n6^2 - n5^2 * 'n7'
// 'n9'
if (!bn_mod_lshift1_consttime(n0, &r->X, p, ctx) ||
!bn_mod_sub_consttime(n0, n3, n0, p, ctx)) {
goto end;
}
// n9 = n5^2 * 'n7' - 2 * X_r
// Y_r
if (!field_mul(group, n0, n0, n6, ctx) ||
!field_mul(group, n5, n4, n5, ctx)) {
goto end; // now n5 is n5^3
}
if (!field_mul(group, n1, n2, n5, ctx) ||
!bn_mod_sub_consttime(n0, n0, n1, p, ctx)) {
goto end;
}
if (BN_is_odd(n0) && !BN_add(n0, n0, p)) {
goto end;
}
// now 0 <= n0 < 2*p, and n0 is even
if (!BN_rshift1(&r->Y, n0)) {
goto end;
}
// Y_r = (n6 * 'n9' - 'n8' * 'n5^3') / 2
ret = 1;
end:
if (ctx) {
// otherwise we already called BN_CTX_end
BN_CTX_end(ctx);
}
BN_CTX_free(new_ctx);
return ret;
}
int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
{
if (dest->meth->group_copy == 0) {
ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (dest->meth != src->meth) {
ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (dest == src)
return 1;
/* Copy precomputed */
dest->pre_comp_type = src->pre_comp_type;
switch (src->pre_comp_type) {
case PCT_none:
dest->pre_comp.ec = NULL;
break;
case PCT_nistz256:
#ifdef ECP_NISTZ256_ASM
dest->pre_comp.nistz256 = EC_nistz256_pre_comp_dup(src->pre_comp.nistz256);
#endif
break;
#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
case PCT_nistp224:
dest->pre_comp.nistp224 = EC_nistp224_pre_comp_dup(src->pre_comp.nistp224);
break;
case PCT_nistp256:
dest->pre_comp.nistp256 = EC_nistp256_pre_comp_dup(src->pre_comp.nistp256);
break;
case PCT_nistp521:
dest->pre_comp.nistp521 = EC_nistp521_pre_comp_dup(src->pre_comp.nistp521);
break;
#else
case PCT_nistp224:
case PCT_nistp256:
case PCT_nistp521:
break;
#endif
case PCT_ec:
dest->pre_comp.ec = EC_ec_pre_comp_dup(src->pre_comp.ec);
break;
}
if (src->mont_data != NULL) {
if (dest->mont_data == NULL) {
dest->mont_data = BN_MONT_CTX_new();
if (dest->mont_data == NULL)
return 0;
}
if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
return 0;
} else {
/* src->generator == NULL */
BN_MONT_CTX_free(dest->mont_data);
dest->mont_data = NULL;
}
if (src->generator != NULL) {
if (dest->generator == NULL) {
dest->generator = EC_POINT_new(dest);
if (dest->generator == NULL)
return 0;
}
if (!EC_POINT_copy(dest->generator, src->generator))
return 0;
} else {
/* src->generator == NULL */
EC_POINT_clear_free(dest->generator);
dest->generator = NULL;
}
if ((src->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
if (!BN_copy(dest->order, src->order))
return 0;
if (!BN_copy(dest->cofactor, src->cofactor))
return 0;
}
dest->curve_name = src->curve_name;
dest->asn1_flag = src->asn1_flag;
dest->asn1_form = src->asn1_form;
if (src->seed) {
OPENSSL_free(dest->seed);
dest->seed = OPENSSL_malloc(src->seed_len);
if (dest->seed == NULL)
return 0;
if (!memcpy(dest->seed, src->seed, src->seed_len))
return 0;
dest->seed_len = src->seed_len;
} else {
OPENSSL_free(dest->seed);
dest->seed = NULL;
dest->seed_len = 0;
}
return dest->meth->group_copy(dest, src);
}
int
MKEM_export_public_key_pt(const MKEM *kp, EC_POINT *p0, EC_POINT *p1)
{
return (EC_POINT_copy(p0, kp->p0) && EC_POINT_copy(p1, kp->p1)) ? 0 : -1;
}
/*-
* Computes the sum
* scalar*group->generator + scalars[0]*points[0] + ... + scalars[num-1]*points[num-1]
* gracefully ignoring NULL scalar values.
*/
int ec_GF2m_simple_mul(const EC_GROUP *group, EC_POINT *r,
const BIGNUM *scalar, size_t num,
const EC_POINT *points[], const BIGNUM *scalars[],
BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
int ret = 0;
size_t i;
EC_POINT *p = NULL;
EC_POINT *acc = NULL;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
/*
* This implementation is more efficient than the wNAF implementation for
* 2 or fewer points. Use the ec_wNAF_mul implementation for 3 or more
* points, or if we can perform a fast multiplication based on
* precomputation.
*/
if ((scalar && (num > 1)) || (num > 2)
|| (num == 0 && EC_GROUP_have_precompute_mult(group))) {
ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
goto err;
}
if ((p = EC_POINT_new(group)) == NULL)
goto err;
if ((acc = EC_POINT_new(group)) == NULL)
goto err;
if (!EC_POINT_set_to_infinity(group, acc))
goto err;
if (scalar) {
if (!ec_GF2m_montgomery_point_multiply
(group, p, scalar, group->generator, ctx))
goto err;
if (BN_is_negative(scalar))
if (!group->meth->invert(group, p, ctx))
goto err;
if (!group->meth->add(group, acc, acc, p, ctx))
goto err;
}
for (i = 0; i < num; i++) {
if (!ec_GF2m_montgomery_point_multiply
(group, p, scalars[i], points[i], ctx))
goto err;
if (BN_is_negative(scalars[i]))
if (!group->meth->invert(group, p, ctx))
goto err;
if (!group->meth->add(group, acc, acc, p, ctx))
goto err;
}
if (!EC_POINT_copy(r, acc))
goto err;
ret = 1;
err:
if (p)
EC_POINT_free(p);
if (acc)
EC_POINT_free(acc);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
void char2_field_tests()
{
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
EC_GROUP *group;
EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL;
EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL;
EC_POINT *P, *Q, *R;
BIGNUM *x, *y, *z, *cof;
unsigned char buf[100];
size_t i, len;
int k;
#if 1 /* optional */
ctx = BN_CTX_new();
if (!ctx) ABORT;
#endif
p = BN_new();
a = BN_new();
b = BN_new();
if (!p || !a || !b) ABORT;
if (!BN_hex2bn(&p, "13")) ABORT;
if (!BN_hex2bn(&a, "3")) ABORT;
if (!BN_hex2bn(&b, "1")) ABORT;
group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m
* so that the library gets to choose the EC_METHOD */
if (!group) ABORT;
if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT;
{
EC_GROUP *tmp;
tmp = EC_GROUP_new(EC_GROUP_method_of(group));
if (!tmp) ABORT;
if (!EC_GROUP_copy(tmp, group)) ABORT;
EC_GROUP_free(group);
group = tmp;
}
if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT;
fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x");
BN_print_fp(stdout, p);
fprintf(stdout, ")\n a = 0x");
BN_print_fp(stdout, a);
fprintf(stdout, "\n b = 0x");
BN_print_fp(stdout, b);
fprintf(stdout, "\n(0x... means binary polynomial)\n");
P = EC_POINT_new(group);
Q = EC_POINT_new(group);
R = EC_POINT_new(group);
if (!P || !Q || !R) ABORT;
if (!EC_POINT_set_to_infinity(group, P)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
buf[0] = 0;
if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
x = BN_new();
y = BN_new();
z = BN_new();
cof = BN_new();
if (!x || !y || !z || !cof) ABORT;
if (!BN_hex2bn(&x, "6")) ABORT;
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT;
#else
if (!BN_hex2bn(&y, "8")) ABORT;
if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
#endif
if (!EC_POINT_is_on_curve(group, Q, ctx))
{
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT;
#endif
fprintf(stderr, "Point is not on curve: x = 0x");
BN_print_fp(stderr, x);
fprintf(stderr, ", y = 0x");
BN_print_fp(stderr, y);
fprintf(stderr, "\n");
ABORT;
}
fprintf(stdout, "A cyclic subgroup:\n");
k = 100;
do
{
if (k-- == 0) ABORT;
if (EC_POINT_is_at_infinity(group, P))
fprintf(stdout, " point at infinity\n");
else
{
if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT;
fprintf(stdout, " x = 0x");
BN_print_fp(stdout, x);
fprintf(stdout, ", y = 0x");
BN_print_fp(stdout, y);
fprintf(stdout, "\n");
}
if (!EC_POINT_copy(R, P)) ABORT;
if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT;
}
while (!EC_POINT_is_at_infinity(group, P));
if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "Generator as octet string, compressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
#endif
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
/* Change test based on whether binary point compression is enabled or not. */
#ifdef OPENSSL_EC_BIN_PT_COMP
len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx);
if (len == 0) ABORT;
if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT;
fprintf(stdout, "\nGenerator as octet string, hybrid form:\n ");
for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]);
#endif
fprintf(stdout, "\n");
if (!EC_POINT_invert(group, P, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
/* Curve K-163 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-163",
"0800000000000000000000000000000000000000C9",
"1",
"1",
"02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8",
"0289070FB05D38FF58321F2E800536D538CCDAA3D9",
1,
"04000000000000000000020108A2E0CC0D99F8A5EF",
"2",
163,
C2_K163
);
/* Curve B-163 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-163",
"0800000000000000000000000000000000000000C9",
"1",
"020A601907B8C953CA1481EB10512F78744A3205FD",
"03F0EBA16286A2D57EA0991168D4994637E8343E36",
"00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1",
1,
"040000000000000000000292FE77E70C12A4234C33",
"2",
163,
C2_B163
);
/* Curve K-233 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-233",
"020000000000000000000000000000000000000004000000000000000001",
"0",
"1",
"017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126",
"01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3",
0,
"008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF",
"4",
233,
C2_K233
);
/* Curve B-233 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-233",
"020000000000000000000000000000000000000004000000000000000001",
"000000000000000000000000000000000000000000000000000000000001",
"0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD",
"00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B",
"01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052",
1,
"01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7",
"2",
233,
C2_B233
);
/* Curve K-283 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-283",
"0800000000000000000000000000000000000000000000000000000000000000000010A1",
"0",
"1",
"0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836",
"01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259",
0,
"01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61",
"4",
283,
C2_K283
);
/* Curve B-283 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-283",
"0800000000000000000000000000000000000000000000000000000000000000000010A1",
"000000000000000000000000000000000000000000000000000000000000000000000001",
"027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5",
"05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053",
"03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4",
1,
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307",
"2",
283,
C2_B283
);
/* Curve K-409 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-409",
"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
"0",
"1",
"0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746",
"01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B",
1,
"007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF",
"4",
409,
C2_K409
);
/* Curve B-409 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-409",
"02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001",
"00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F",
"015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7",
"0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706",
1,
"010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173",
"2",
409,
C2_B409
);
/* Curve K-571 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve K-571",
"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
"0",
"1",
"026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972",
"0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3",
0,
"020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001",
"4",
571,
C2_K571
);
/* Curve B-571 (FIPS PUB 186-2, App. 6) */
CHAR2_CURVE_TEST
(
"NIST curve B-571",
"80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425",
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
"02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A",
"0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19",
"037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B",
1,
"03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47",
"2",
571,
C2_B571
);
/* more tests using the last curve */
if (!EC_POINT_copy(Q, P)) ABORT;
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
if (!EC_POINT_dbl(group, P, P, ctx)) ABORT;
if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT;
if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */
if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT;
if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
{
const EC_POINT *points[3];
const BIGNUM *scalars[3];
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
points[0] = Q;
points[1] = Q;
points[2] = Q;
if (!BN_add(y, z, BN_value_one())) ABORT;
if (BN_is_odd(y)) ABORT;
if (!BN_rshift1(y, y)) ABORT;
scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */
scalars[1] = y;
fprintf(stdout, "combined multiplication ...");
fflush(stdout);
/* z is still the group order */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT;
if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
if (!BN_add(z, z, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = y;
scalars[1] = z; /* z = -(order + y) */
if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, ".");
fflush(stdout);
if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
if (!BN_add(z, x, y)) ABORT;
BN_set_negative(z, 1);
scalars[0] = x;
scalars[1] = y;
scalars[2] = z; /* z = -(x+y) */
if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, " ok\n\n");
}
#if 0
timings(C2_K163, TIMING_BASE_PT, ctx);
timings(C2_K163, TIMING_RAND_PT, ctx);
timings(C2_K163, TIMING_SIMUL, ctx);
timings(C2_B163, TIMING_BASE_PT, ctx);
timings(C2_B163, TIMING_RAND_PT, ctx);
timings(C2_B163, TIMING_SIMUL, ctx);
timings(C2_K233, TIMING_BASE_PT, ctx);
timings(C2_K233, TIMING_RAND_PT, ctx);
timings(C2_K233, TIMING_SIMUL, ctx);
timings(C2_B233, TIMING_BASE_PT, ctx);
timings(C2_B233, TIMING_RAND_PT, ctx);
timings(C2_B233, TIMING_SIMUL, ctx);
timings(C2_K283, TIMING_BASE_PT, ctx);
timings(C2_K283, TIMING_RAND_PT, ctx);
timings(C2_K283, TIMING_SIMUL, ctx);
timings(C2_B283, TIMING_BASE_PT, ctx);
timings(C2_B283, TIMING_RAND_PT, ctx);
timings(C2_B283, TIMING_SIMUL, ctx);
timings(C2_K409, TIMING_BASE_PT, ctx);
timings(C2_K409, TIMING_RAND_PT, ctx);
timings(C2_K409, TIMING_SIMUL, ctx);
timings(C2_B409, TIMING_BASE_PT, ctx);
timings(C2_B409, TIMING_RAND_PT, ctx);
timings(C2_B409, TIMING_SIMUL, ctx);
timings(C2_K571, TIMING_BASE_PT, ctx);
timings(C2_K571, TIMING_RAND_PT, ctx);
timings(C2_K571, TIMING_SIMUL, ctx);
timings(C2_B571, TIMING_BASE_PT, ctx);
timings(C2_B571, TIMING_RAND_PT, ctx);
timings(C2_B571, TIMING_SIMUL, ctx);
#endif
if (ctx)
BN_CTX_free(ctx);
BN_free(p); BN_free(a); BN_free(b);
EC_GROUP_free(group);
EC_POINT_free(P);
EC_POINT_free(Q);
EC_POINT_free(R);
BN_free(x); BN_free(y); BN_free(z); BN_free(cof);
if (C2_K163) EC_GROUP_free(C2_K163);
if (C2_B163) EC_GROUP_free(C2_B163);
if (C2_K233) EC_GROUP_free(C2_K233);
if (C2_B233) EC_GROUP_free(C2_B233);
if (C2_K283) EC_GROUP_free(C2_K283);
if (C2_B283) EC_GROUP_free(C2_B283);
if (C2_K409) EC_GROUP_free(C2_K409);
if (C2_B409) EC_GROUP_free(C2_B409);
if (C2_K571) EC_GROUP_free(C2_K571);
if (C2_B571) EC_GROUP_free(C2_B571);
}
EC_KEY *EC_KEY_copy(EC_KEY *dest, const EC_KEY *src)
{
if (dest == NULL || src == NULL) {
ECerr(EC_F_EC_KEY_COPY, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if (src->meth != dest->meth) {
if (dest->meth->finish != NULL)
dest->meth->finish(dest);
if (dest->group && dest->group->meth->keyfinish)
dest->group->meth->keyfinish(dest);
#ifndef OPENSSL_NO_ENGINE
if (ENGINE_finish(dest->engine) == 0)
return 0;
dest->engine = NULL;
#endif
}
/* copy the parameters */
if (src->group != NULL) {
const EC_METHOD *meth = EC_GROUP_method_of(src->group);
/* clear the old group */
EC_GROUP_free(dest->group);
dest->group = EC_GROUP_new(meth);
if (dest->group == NULL)
return NULL;
if (!EC_GROUP_copy(dest->group, src->group))
return NULL;
/* copy the public key */
if (src->pub_key != NULL) {
EC_POINT_free(dest->pub_key);
dest->pub_key = EC_POINT_new(src->group);
if (dest->pub_key == NULL)
return NULL;
if (!EC_POINT_copy(dest->pub_key, src->pub_key))
return NULL;
}
/* copy the private key */
if (src->priv_key != NULL) {
if (dest->priv_key == NULL) {
dest->priv_key = BN_new();
if (dest->priv_key == NULL)
return NULL;
}
if (!BN_copy(dest->priv_key, src->priv_key))
return NULL;
if (src->group->meth->keycopy
&& src->group->meth->keycopy(dest, src) == 0)
return NULL;
}
}
/* copy the rest */
dest->enc_flag = src->enc_flag;
dest->conv_form = src->conv_form;
dest->version = src->version;
dest->flags = src->flags;
if (!CRYPTO_dup_ex_data(CRYPTO_EX_INDEX_EC_KEY,
&dest->ex_data, &src->ex_data))
return NULL;
if (src->meth != dest->meth) {
#ifndef OPENSSL_NO_ENGINE
if (src->engine != NULL && ENGINE_init(src->engine) == 0)
return NULL;
dest->engine = src->engine;
#endif
dest->meth = src->meth;
}
if (src->meth->copy != NULL && src->meth->copy(dest, src) == 0)
return NULL;
return dest;
}
static void timings(EC_GROUP *group, int multi, BN_CTX *ctx)
{
clock_t clck;
int i, j;
BIGNUM *s, *s0;
EC_POINT *P;
s = BN_new();
s0 = BN_new();
if (s == NULL || s0 == NULL) ABORT;
if (!EC_GROUP_get_curve_GFp(group, s, NULL, NULL, ctx)) ABORT;
fprintf(stdout, "Timings for %d bit prime, ", (int)BN_num_bits(s));
if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
fprintf(stdout, "%d bit scalars ", (int)BN_num_bits(s));
fflush(stdout);
P = EC_POINT_new(group);
if (P == NULL) ABORT;
EC_POINT_copy(P, EC_GROUP_get0_generator(group));
clck = clock();
for (i = 0; i < 10; i++)
{
if (!BN_pseudo_rand(s, BN_num_bits(s), 0, 0)) ABORT;
if (multi)
{
if (!BN_pseudo_rand(s0, BN_num_bits(s), 0, 0)) ABORT;
}
for (j = 0; j < 10; j++)
{
if (!EC_POINT_mul(group, P, s, multi ? P : NULL, multi ? s0 : NULL, ctx)) ABORT;
}
fprintf(stdout, ".");
fflush(stdout);
}
fprintf(stdout, "\n");
clck = clock() - clck;
#ifdef CLOCKS_PER_SEC
/* "To determine the time in seconds, the value returned
* by the clock function should be divided by the value
* of the macro CLOCKS_PER_SEC."
* -- ISO/IEC 9899 */
# define UNIT "s"
#else
/* "`CLOCKS_PER_SEC' undeclared (first use this function)"
* -- cc on NeXTstep/OpenStep */
# define UNIT "units"
# define CLOCKS_PER_SEC 1
#endif
fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
multi ? "s*P+t*Q operations" : "point multiplications",
(double)clck/CLOCKS_PER_SEC);
fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
EC_POINT_free(P);
BN_free(s);
BN_free(s0);
}
/*
* Computes a + b and stores the result in r. r could be a or b, a could be
* b. Uses algorithm A.10.2 of IEEE P1363.
*/
int ec_GF2m_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx)
{
BN_CTX *new_ctx = NULL;
BIGNUM *x0, *y0, *x1, *y1, *x2, *y2, *s, *t;
int ret = 0;
if (EC_POINT_is_at_infinity(group, a)) {
if (!EC_POINT_copy(r, b))
return 0;
return 1;
}
if (EC_POINT_is_at_infinity(group, b)) {
if (!EC_POINT_copy(r, a))
return 0;
return 1;
}
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
x0 = BN_CTX_get(ctx);
y0 = BN_CTX_get(ctx);
x1 = BN_CTX_get(ctx);
y1 = BN_CTX_get(ctx);
x2 = BN_CTX_get(ctx);
y2 = BN_CTX_get(ctx);
s = BN_CTX_get(ctx);
t = BN_CTX_get(ctx);
if (t == NULL)
goto err;
if (a->Z_is_one) {
if (!BN_copy(x0, &a->X))
goto err;
if (!BN_copy(y0, &a->Y))
goto err;
} else {
if (!EC_POINT_get_affine_coordinates_GF2m(group, a, x0, y0, ctx))
goto err;
}
if (b->Z_is_one) {
if (!BN_copy(x1, &b->X))
goto err;
if (!BN_copy(y1, &b->Y))
goto err;
} else {
if (!EC_POINT_get_affine_coordinates_GF2m(group, b, x1, y1, ctx))
goto err;
}
if (BN_GF2m_cmp(x0, x1)) {
if (!BN_GF2m_add(t, x0, x1))
goto err;
if (!BN_GF2m_add(s, y0, y1))
goto err;
if (!group->meth->field_div(group, s, s, t, ctx))
goto err;
if (!group->meth->field_sqr(group, x2, s, ctx))
goto err;
if (!BN_GF2m_add(x2, x2, &group->a))
goto err;
if (!BN_GF2m_add(x2, x2, s))
goto err;
if (!BN_GF2m_add(x2, x2, t))
goto err;
} else {
if (BN_GF2m_cmp(y0, y1) || BN_is_zero(x1)) {
if (!EC_POINT_set_to_infinity(group, r))
goto err;
ret = 1;
goto err;
}
if (!group->meth->field_div(group, s, y1, x1, ctx))
goto err;
if (!BN_GF2m_add(s, s, x1))
goto err;
if (!group->meth->field_sqr(group, x2, s, ctx))
goto err;
if (!BN_GF2m_add(x2, x2, s))
goto err;
if (!BN_GF2m_add(x2, x2, &group->a))
goto err;
}
if (!BN_GF2m_add(y2, x1, x2))
goto err;
if (!group->meth->field_mul(group, y2, y2, s, ctx))
goto err;
if (!BN_GF2m_add(y2, y2, x2))
goto err;
if (!BN_GF2m_add(y2, y2, y1))
goto err;
if (!EC_POINT_set_affine_coordinates_GF2m(group, r, x2, y2, ctx))
goto err;
ret = 1;
err:
BN_CTX_end(ctx);
if (new_ctx != NULL)
BN_CTX_free(new_ctx);
return ret;
}
EC_KEY *EC_KEY_copy(EC_KEY *dest, const EC_KEY *src)
{
EC_EXTRA_DATA *d;
if (dest == NULL || src == NULL) {
ECerr(EC_F_EC_KEY_COPY, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if (src->meth != dest->meth) {
if (dest->meth->finish != NULL)
dest->meth->finish(dest);
#ifndef OPENSSL_NO_ENGINE
if (dest->engine != NULL && ENGINE_finish(dest->engine) == 0)
return 0;
dest->engine = NULL;
#endif
}
/* copy the parameters */
if (src->group != NULL) {
const EC_METHOD *meth = EC_GROUP_method_of(src->group);
/* clear the old group */
EC_GROUP_free(dest->group);
dest->group = EC_GROUP_new(meth);
if (dest->group == NULL)
return NULL;
if (!EC_GROUP_copy(dest->group, src->group))
return NULL;
}
/* copy the public key */
if (src->pub_key != NULL && src->group != NULL) {
EC_POINT_free(dest->pub_key);
dest->pub_key = EC_POINT_new(src->group);
if (dest->pub_key == NULL)
return NULL;
if (!EC_POINT_copy(dest->pub_key, src->pub_key))
return NULL;
}
/* copy the private key */
if (src->priv_key != NULL) {
if (dest->priv_key == NULL) {
dest->priv_key = BN_new();
if (dest->priv_key == NULL)
return NULL;
}
if (!BN_copy(dest->priv_key, src->priv_key))
return NULL;
}
/* copy method/extra data */
EC_EX_DATA_free_all_data(&dest->method_data);
for (d = src->method_data; d != NULL; d = d->next) {
void *t = d->dup_func(d->data);
if (t == NULL)
return 0;
if (!EC_EX_DATA_set_data
(&dest->method_data, t, d->dup_func, d->free_func,
d->clear_free_func))
return NULL;
}
/* copy the rest */
dest->enc_flag = src->enc_flag;
dest->conv_form = src->conv_form;
dest->version = src->version;
dest->flags = src->flags;
if (src->meth != dest->meth) {
#ifndef OPENSSL_NO_ENGINE
if (src->engine != NULL && ENGINE_init(src->engine) == 0)
return NULL;
dest->engine = src->engine;
#endif
dest->meth = src->meth;
}
if (src->meth->copy != NULL && src->meth->copy(dest, src) == 0)
return NULL;
return dest;
}
int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
{
EC_EXTRA_DATA *d;
if (dest->meth->group_copy == 0)
{
ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
if (dest->meth != src->meth)
{
ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
if (dest == src)
return 1;
EC_EX_DATA_free_all_data(&dest->extra_data);
for (d = src->extra_data; d != NULL; d = d->next)
{
void *t = d->dup_func(d->data);
if (t == NULL)
return 0;
if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func, d->free_func, d->clear_free_func))
return 0;
}
if (src->generator != NULL)
{
if (dest->generator == NULL)
{
dest->generator = EC_POINT_new(dest);
if (dest->generator == NULL) return 0;
}
if (!EC_POINT_copy(dest->generator, src->generator)) return 0;
}
else
{
/* src->generator == NULL */
if (dest->generator != NULL)
{
EC_POINT_clear_free(dest->generator);
dest->generator = NULL;
}
}
if (!BN_copy(&dest->order, &src->order)) return 0;
if (!BN_copy(&dest->cofactor, &src->cofactor)) return 0;
dest->curve_name = src->curve_name;
dest->asn1_flag = src->asn1_flag;
dest->asn1_form = src->asn1_form;
if (src->seed)
{
if (dest->seed)
OPENSSL_free(dest->seed);
dest->seed = OPENSSL_malloc(src->seed_len);
if (dest->seed == NULL)
return 0;
if (!memcpy(dest->seed, src->seed, src->seed_len))
return 0;
dest->seed_len = src->seed_len;
}
else
{
if (dest->seed)
OPENSSL_free(dest->seed);
dest->seed = NULL;
dest->seed_len = 0;
}
return dest->meth->group_copy(dest, src);
}
static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
{
clock_t clck;
int i, j;
BIGNUM *s;
BIGNUM *r[10], *r0[10];
EC_POINT *P;
s = BN_new();
if (s == NULL) ABORT;
fprintf(stdout, "Timings for %d-bit field, ", EC_GROUP_get_degree(group));
if (!EC_GROUP_get_order(group, s, ctx)) ABORT;
fprintf(stdout, "%d-bit scalars ", (int)BN_num_bits(s));
fflush(stdout);
P = EC_POINT_new(group);
if (P == NULL) ABORT;
EC_POINT_copy(P, EC_GROUP_get0_generator(group));
for (i = 0; i < 10; i++)
{
if ((r[i] = BN_new()) == NULL) ABORT;
if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
if (type != TIMING_BASE_PT)
{
if ((r0[i] = BN_new()) == NULL) ABORT;
if (!BN_pseudo_rand(r0[i], BN_num_bits(s), 0, 0)) ABORT;
}
}
clck = clock();
for (i = 0; i < 10; i++)
{
for (j = 0; j < 10; j++)
{
if (!EC_POINT_mul(group, P, (type != TIMING_RAND_PT) ? r[i] : NULL,
(type != TIMING_BASE_PT) ? P : NULL, (type != TIMING_BASE_PT) ? r0[i] : NULL, ctx)) ABORT;
}
}
clck = clock() - clck;
fprintf(stdout, "\n");
#ifdef CLOCKS_PER_SEC
/* "To determine the time in seconds, the value returned
* by the clock function should be divided by the value
* of the macro CLOCKS_PER_SEC."
* -- ISO/IEC 9899 */
# define UNIT "s"
#else
/* "`CLOCKS_PER_SEC' undeclared (first use this function)"
* -- cc on NeXTstep/OpenStep */
# define UNIT "units"
# define CLOCKS_PER_SEC 1
#endif
if (type == TIMING_BASE_PT) {
fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
"base point multiplications", (double)clck/CLOCKS_PER_SEC);
} else if (type == TIMING_RAND_PT) {
fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
"random point multiplications", (double)clck/CLOCKS_PER_SEC);
} else if (type == TIMING_SIMUL) {
fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j,
"s*P+t*Q operations", (double)clck/CLOCKS_PER_SEC);
}
fprintf(stdout, "average: %.4f " UNIT "\n", (double)clck/(CLOCKS_PER_SEC*i*j));
EC_POINT_free(P);
BN_free(s);
for (i = 0; i < 10; i++)
{
BN_free(r[i]);
if (type != TIMING_BASE_PT) BN_free(r0[i]);
}
}
int EC_KEY_check_key(const EC_KEY *eckey)
{
int ok = 0;
BN_CTX *ctx = NULL;
BIGNUM *order = NULL;
EC_POINT *point = NULL;
if (!eckey || !eckey->group || !eckey->pub_key)
{
ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((ctx = BN_CTX_new()) == NULL)
goto err;
if ((order = BN_new()) == NULL)
goto err;
if ((point = EC_POINT_new(eckey->group)) == NULL)
goto err;
/* testing whether the pub_key is on the elliptic curve */
if (!EC_POINT_is_on_curve(eckey->group, eckey->pub_key, ctx))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_POINT_IS_NOT_ON_CURVE);
goto err;
}
/* testing whether pub_key * order is the point at infinity */
if (!EC_GROUP_get_order(eckey->group, order, ctx))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_GROUP_ORDER);
goto err;
}
if (!EC_POINT_copy(point, eckey->pub_key))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_mul(eckey->group, point, order, NULL, NULL, ctx))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_is_at_infinity(eckey->group, point))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
goto err;
}
/* in case the priv_key is present :
* check if generator * priv_key == pub_key
*/
if (eckey->priv_key)
{
if (BN_cmp(eckey->priv_key, order) >= 0)
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_WRONG_ORDER);
goto err;
}
if (!EC_POINT_mul(eckey->group, point, eckey->priv_key,
NULL, NULL, ctx))
{
ECerr(EC_F_EC_KEY_CHECK_KEY, ERR_R_EC_LIB);
goto err;
}
if (EC_POINT_cmp(eckey->group, point, eckey->pub_key,
ctx) != 0)
{
ECerr(EC_F_EC_KEY_CHECK_KEY, EC_R_INVALID_PRIVATE_KEY);
goto err;
}
}
ok = 1;
err:
if (ctx != NULL)
BN_CTX_free(ctx);
if (order != NULL)
BN_free(order);
if (point != NULL)
EC_POINT_free(point);
return(ok);
}
int ec_GFp_simple_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
const EC_POINT *b, BN_CTX *ctx)
{
int (*field_mul) (const EC_GROUP *, BIGNUM *, const BIGNUM *,
const BIGNUM *, BN_CTX *);
int (*field_sqr) (const EC_GROUP *, BIGNUM *, const BIGNUM *, BN_CTX *);
const BIGNUM *p;
BN_CTX *new_ctx = NULL;
BIGNUM *n0, *n1, *n2, *n3, *n4, *n5, *n6;
int ret = 0;
if (a == b)
return EC_POINT_dbl(group, r, a, ctx);
if (EC_POINT_is_at_infinity(group, a))
return EC_POINT_copy(r, b);
if (EC_POINT_is_at_infinity(group, b))
return EC_POINT_copy(r, a);
field_mul = group->meth->field_mul;
field_sqr = group->meth->field_sqr;
p = group->field;
if (ctx == NULL) {
ctx = new_ctx = BN_CTX_new();
if (ctx == NULL)
return 0;
}
BN_CTX_start(ctx);
n0 = BN_CTX_get(ctx);
n1 = BN_CTX_get(ctx);
n2 = BN_CTX_get(ctx);
n3 = BN_CTX_get(ctx);
n4 = BN_CTX_get(ctx);
n5 = BN_CTX_get(ctx);
n6 = BN_CTX_get(ctx);
if (n6 == NULL)
goto end;
/*
* Note that in this function we must not read components of 'a' or 'b'
* once we have written the corresponding components of 'r'. ('r' might
* be one of 'a' or 'b'.)
*/
/* n1, n2 */
if (b->Z_is_one) {
if (!BN_copy(n1, a->X))
goto end;
if (!BN_copy(n2, a->Y))
goto end;
/* n1 = X_a */
/* n2 = Y_a */
} else {
if (!field_sqr(group, n0, b->Z, ctx))
goto end;
if (!field_mul(group, n1, a->X, n0, ctx))
goto end;
/* n1 = X_a * Z_b^2 */
if (!field_mul(group, n0, n0, b->Z, ctx))
goto end;
if (!field_mul(group, n2, a->Y, n0, ctx))
goto end;
/* n2 = Y_a * Z_b^3 */
}
/* n3, n4 */
if (a->Z_is_one) {
if (!BN_copy(n3, b->X))
goto end;
if (!BN_copy(n4, b->Y))
goto end;
/* n3 = X_b */
/* n4 = Y_b */
} else {
if (!field_sqr(group, n0, a->Z, ctx))
goto end;
if (!field_mul(group, n3, b->X, n0, ctx))
goto end;
/* n3 = X_b * Z_a^2 */
if (!field_mul(group, n0, n0, a->Z, ctx))
goto end;
if (!field_mul(group, n4, b->Y, n0, ctx))
goto end;
/* n4 = Y_b * Z_a^3 */
}
/* n5, n6 */
if (!BN_mod_sub_quick(n5, n1, n3, p))
goto end;
if (!BN_mod_sub_quick(n6, n2, n4, p))
goto end;
/* n5 = n1 - n3 */
/* n6 = n2 - n4 */
if (BN_is_zero(n5)) {
if (BN_is_zero(n6)) {
/* a is the same point as b */
BN_CTX_end(ctx);
ret = EC_POINT_dbl(group, r, a, ctx);
ctx = NULL;
goto end;
} else {
/* a is the inverse of b */
BN_zero(r->Z);
r->Z_is_one = 0;
ret = 1;
goto end;
}
}
/* 'n7', 'n8' */
if (!BN_mod_add_quick(n1, n1, n3, p))
goto end;
if (!BN_mod_add_quick(n2, n2, n4, p))
goto end;
/* 'n7' = n1 + n3 */
/* 'n8' = n2 + n4 */
/* Z_r */
if (a->Z_is_one && b->Z_is_one) {
if (!BN_copy(r->Z, n5))
goto end;
} else {
if (a->Z_is_one) {
if (!BN_copy(n0, b->Z))
goto end;
} else if (b->Z_is_one) {
if (!BN_copy(n0, a->Z))
goto end;
} else {
if (!field_mul(group, n0, a->Z, b->Z, ctx))
goto end;
}
if (!field_mul(group, r->Z, n0, n5, ctx))
goto end;
}
r->Z_is_one = 0;
/* Z_r = Z_a * Z_b * n5 */
/* X_r */
if (!field_sqr(group, n0, n6, ctx))
goto end;
if (!field_sqr(group, n4, n5, ctx))
goto end;
if (!field_mul(group, n3, n1, n4, ctx))
goto end;
if (!BN_mod_sub_quick(r->X, n0, n3, p))
goto end;
/* X_r = n6^2 - n5^2 * 'n7' */
/* 'n9' */
if (!BN_mod_lshift1_quick(n0, r->X, p))
goto end;
if (!BN_mod_sub_quick(n0, n3, n0, p))
goto end;
/* n9 = n5^2 * 'n7' - 2 * X_r */
/* Y_r */
if (!field_mul(group, n0, n0, n6, ctx))
goto end;
if (!field_mul(group, n5, n4, n5, ctx))
goto end; /* now n5 is n5^3 */
if (!field_mul(group, n1, n2, n5, ctx))
goto end;
if (!BN_mod_sub_quick(n0, n0, n1, p))
goto end;
if (BN_is_odd(n0))
if (!BN_add(n0, n0, p))
goto end;
/* now 0 <= n0 < 2*p, and n0 is even */
if (!BN_rshift1(r->Y, n0))
goto end;
/* Y_r = (n6 * 'n9' - 'n8' * 'n5^3') / 2 */
ret = 1;
end:
if (ctx) /* otherwise we already called BN_CTX_end */
BN_CTX_end(ctx);
BN_CTX_free(new_ctx);
return ret;
}
