int generate_test_data( unsigned char *data, unsigned char* key)
{
BIGNUM *BN_data = BN_new();
BIGNUM *BN_key = BN_new();
BN_CTX *ctx = BN_CTX_new();
BN_pseudo_rand(BN_data, PKT_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_key, KEY_SIZE_BYTES*8, -1, 0);
BN_bn2bin(BN_data, data);
BN_bn2bin(BN_key, key);
BN_CTX_free(ctx);
}
int generate_test_data( unsigned char *data, unsigned char* hkey, unsigned char* ckey, unsigned char* iv)
{
BIGNUM *BN_data = BN_new();
BIGNUM *BN_hkey = BN_new();
BIGNUM *BN_ckey = BN_new();
BIGNUM *BN_iv = BN_new();
BN_CTX *ctx = BN_CTX_new();
BN_pseudo_rand(BN_data, PKT_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_hkey, HKEY_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_ckey, CKEY_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_iv, IV_SIZE_BYTES*8, -1, 0);
BN_bn2bin(BN_data, data);
BN_bn2bin(BN_hkey, hkey);
BN_bn2bin(BN_ckey, ckey);
BN_bn2bin(BN_iv, iv);
BN_CTX_free(ctx);
}
// Generate a self-signed certificate, with the public key from the
// given key pair. Caller is responsible for freeing the returned object.
static X509* MakeCertificate(EVP_PKEY* pkey, const char* common_name) {
LOG(LS_INFO) << "Making certificate for " << common_name;
X509* x509 = NULL;
BIGNUM* serial_number = NULL;
X509_NAME* name = NULL;
if ((x509=X509_new()) == NULL)
goto error;
if (!X509_set_pubkey(x509, pkey))
goto error;
// serial number
// temporary reference to serial number inside x509 struct
ASN1_INTEGER* asn1_serial_number;
if (!(serial_number = BN_new()) ||
!BN_pseudo_rand(serial_number, SERIAL_RAND_BITS, 0, 0) ||
!(asn1_serial_number = X509_get_serialNumber(x509)) ||
!BN_to_ASN1_INTEGER(serial_number, asn1_serial_number))
goto error;
if (!X509_set_version(x509, 0L)) // version 1
goto error;
// There are a lot of possible components for the name entries. In
// our P2P SSL mode however, the certificates are pre-exchanged
// (through the secure XMPP channel), and so the certificate
// identification is arbitrary. It can't be empty, so we set some
// arbitrary common_name. Note that this certificate goes out in
// clear during SSL negotiation, so there may be a privacy issue in
// putting anything recognizable here.
if (!(name = X509_NAME_new()) ||
!X509_NAME_add_entry_by_NID(name, NID_commonName, MBSTRING_UTF8,
(unsigned char*)common_name, -1, -1, 0) ||
!X509_set_subject_name(x509, name) ||
!X509_set_issuer_name(x509, name))
goto error;
if (!X509_gmtime_adj(X509_get_notBefore(x509), 0) ||
!X509_gmtime_adj(X509_get_notAfter(x509), CERTIFICATE_LIFETIME))
goto error;
if (!X509_sign(x509, pkey, EVP_sha1()))
goto error;
BN_free(serial_number);
X509_NAME_free(name);
LOG(LS_INFO) << "Returning certificate";
return x509;
error:
BN_free(serial_number);
X509_NAME_free(name);
X509_free(x509);
return NULL;
}
ASN1_INTEGER* getRandomSN()
{
ASN1_INTEGER* res = ASN1_INTEGER_new();
BIGNUM *btmp = BN_new();
//64 bits of randomness?
BN_pseudo_rand(btmp, 64, 0, 0);
BN_to_ASN1_INTEGER(btmp, res);
BN_free(btmp);
return res;
}
int generate_test_data(unsigned char *data, unsigned char *key, unsigned char *iv, unsigned char* bc_in, unsigned char* ks_in)
{
BIGNUM *BN_key = BN_new();
BIGNUM *BN_iv = BN_new();
BIGNUM *BN_data = BN_new();
BIGNUM *BN_bc_in = BN_new();
BIGNUM *BN_ks_in = BN_new();
BN_CTX *ctx = BN_CTX_new();
BN_pseudo_rand(BN_key, KEY_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_iv, IV_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_data, PKT_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_bc_in, BC_SIZE_BYTES*8, -1, 0);
BN_pseudo_rand(BN_ks_in, KS_SIZE_BYTES*8, -1, 0);
BN_bn2bin(BN_key, key);
BN_bn2bin(BN_iv, iv);
BN_bn2bin(BN_data, data);
BN_bn2bin(BN_bc_in, bc_in);
BN_bn2bin(BN_ks_in, ks_in);
BN_CTX_free(ctx);
}
static X509 *
gen_cert(EVP_PKEY* pkey, const char *common, int days) {
X509 *x509 = NULL;
BIGNUM *serial_number = NULL;
X509_NAME *name = NULL;
if ((x509 = X509_new()) == NULL)
return NULL;
if (!X509_set_pubkey(x509, pkey))
return NULL;
ASN1_INTEGER* asn1_serial_number;
if ((serial_number = BN_new()) == NULL ||
!BN_pseudo_rand(serial_number, 64, 0, 0) ||
(asn1_serial_number = X509_get_serialNumber(x509)) == NULL ||
!BN_to_ASN1_INTEGER(serial_number, asn1_serial_number))
goto cert_err;
if (!X509_set_version(x509, 0L)) // version 1
goto cert_err;
if ((name = X509_NAME_new()) == NULL ||
!X509_NAME_add_entry_by_NID(
name, NID_commonName, MBSTRING_UTF8,
(unsigned char*)common, -1, -1, 0) ||
!X509_set_subject_name(x509, name) ||
!X509_set_issuer_name(x509, name))
goto cert_err;
if (!X509_gmtime_adj(X509_get_notBefore(x509), 0) ||
!X509_gmtime_adj(X509_get_notAfter(x509), days * 24 * 3600))
goto cert_err;
if (!X509_sign(x509, pkey, EVP_sha1()))
goto cert_err;
if (0) {
cert_err:
X509_free(x509);
x509 = NULL;
}
BN_free(serial_number);
X509_NAME_free(name);
return x509;
}
/* Taken from openssl certmodule.c */
static int certificate_set_serial(X509 *x)
{
ASN1_INTEGER *sno = ASN1_INTEGER_new();
BIGNUM *bn = NULL;
int rv = 0;
bn = BN_new();
if (!bn) {
ASN1_INTEGER_free(sno);
return 0;
}
if (BN_pseudo_rand(bn, SERIAL_RAND_BITS, 0, 0) == 1 &&
(sno = BN_to_ASN1_INTEGER(bn, sno)) != NULL &&
X509_set_serialNumber(x, sno) == 1)
rv = 1;
BN_free(bn);
ASN1_INTEGER_free(sno);
return rv;
}
static int autoca_gencert( Operation *op, genargs *args )
{
X509_NAME *subj_name, *issuer_name;
X509 *subj_cert;
struct berval derdn;
unsigned char *pp;
EVP_PKEY *evpk = NULL;
int rc;
if ((subj_cert = X509_new()) == NULL)
return -1;
autoca_dnbv2der( op, args->subjectDN, &derdn );
pp = (unsigned char *)derdn.bv_val;
subj_name = d2i_X509_NAME( NULL, (const unsigned char **)&pp, derdn.bv_len );
op->o_tmpfree( derdn.bv_val, op->o_tmpmemctx );
if ( subj_name == NULL )
{
fail1:
X509_free( subj_cert );
return -1;
}
rc = autoca_genpkey( args->keybits, &evpk );
if ( rc <= 0 )
{
fail2:
if ( subj_name ) X509_NAME_free( subj_name );
goto fail1;
}
/* encode DER in PKCS#8 */
{
PKCS8_PRIV_KEY_INFO *p8inf;
if (( p8inf = EVP_PKEY2PKCS8( evpk )) == NULL )
goto fail2;
args->derpkey.bv_len = i2d_PKCS8_PRIV_KEY_INFO( p8inf, NULL );
args->derpkey.bv_val = op->o_tmpalloc( args->derpkey.bv_len, op->o_tmpmemctx );
pp = (unsigned char *)args->derpkey.bv_val;
i2d_PKCS8_PRIV_KEY_INFO( p8inf, &pp );
PKCS8_PRIV_KEY_INFO_free( p8inf );
}
args->newpkey = evpk;
/* set random serial */
{
BIGNUM *bn = BN_new();
if ( bn == NULL )
{
fail3:
EVP_PKEY_free( evpk );
goto fail2;
}
if (!BN_pseudo_rand(bn, SERIAL_BITS, 0, 0))
{
BN_free( bn );
goto fail3;
}
if (!BN_to_ASN1_INTEGER(bn, X509_get_serialNumber(subj_cert)))
{
BN_free( bn );
goto fail3;
}
BN_free(bn);
}
if (args->issuer_cert) {
issuer_name = X509_get_subject_name(args->issuer_cert);
} else {
issuer_name = subj_name;
args->issuer_cert = subj_cert;
args->issuer_pkey = evpk;
}
if (!X509_set_version(subj_cert, 2) || /* set version to V3 */
!X509_set_issuer_name(subj_cert, issuer_name) ||
!X509_set_subject_name(subj_cert, subj_name) ||
!X509_gmtime_adj(X509_get_notBefore(subj_cert), 0) ||
!X509_time_adj_ex(X509_get_notAfter(subj_cert), args->days, 0, NULL) ||
!X509_set_pubkey(subj_cert, evpk))
{
goto fail3;
}
X509_NAME_free(subj_name);
subj_name = NULL;
/* set cert extensions */
{
X509V3_CTX ctx;
X509_EXTENSION *ext;
int i;
X509V3_set_ctx(&ctx, args->issuer_cert, subj_cert, NULL, NULL, 0);
for (i=0; args->cert_exts[i].name; i++) {
ext = X509V3_EXT_nconf(NULL, &ctx, args->cert_exts[i].name, args->cert_exts[i].value);
if ( ext == NULL )
goto fail3;
rc = X509_add_ext(subj_cert, ext, -1);
X509_EXTENSION_free(ext);
if ( !rc )
goto fail3;
}
if (args->more_exts) {
for (i=0; args->more_exts[i].name; i++) {
ext = X509V3_EXT_nconf(NULL, &ctx, args->more_exts[i].name, args->more_exts[i].value);
if ( ext == NULL )
goto fail3;
rc = X509_add_ext(subj_cert, ext, -1);
X509_EXTENSION_free(ext);
if ( !rc )
goto fail3;
}
}
}
rc = autoca_signcert( subj_cert, args->issuer_pkey );
if ( rc < 0 )
goto fail3;
args->dercert.bv_len = i2d_X509( subj_cert, NULL );
args->dercert.bv_val = op->o_tmpalloc( args->dercert.bv_len, op->o_tmpmemctx );
pp = (unsigned char *)args->dercert.bv_val;
i2d_X509( subj_cert, &pp );
args->newcert = subj_cert;
return 0;
}
int main(int argc, char *argv[])
{
int bitlens[] = { 8, 16, 32, 64, 128, 256, 512, 1024, 2048 };
BIGNUM *r_hw = BN_new();
BIGNUM *r_sw = BN_new();
BIGNUM *a = BN_new();
BIGNUM *b = BN_new();
BIGNUM *n = BN_new();
BigNumber *bn_r;
BigNumber *bn_a;
BigNumber *bn_b;
BigNumber *bn_n;
int i = 0;
int j = 0;
int fail = 0;
int total = 0;
BN_CTX *ctx = BN_CTX_new();
//bn_r = cop_bn_new_sz(256);
for (j = 0; j < (sizeof(bitlens) / sizeof(int)); j++) {
for (i = 0; i < NUM_TESTS; i++) {
//printf("test %d-%d\n", i, j);
// Generate random parameters
BN_pseudo_rand(n, bitlens[j], 0, 1);
BN_pseudo_rand(b, bitlens[j], 0, 0);
BN_pseudo_rand_range(a, n);
// Setup bignumbers
size_t a_sz = BN_num_bytes(a);
if (a_sz) {
bn_a = cop_bn_new_sz(BN_num_bytes(a));
BN_bn2bin(a, bn_a->number);
} else {
bn_a = cop_bn_new_int(0);
}
bn_b = cop_bn_new_sz(BN_num_bytes(b));
bn_n = cop_bn_new_sz(BN_num_bytes(n));
BN_bn2bin(b, bn_b->number);
BN_bn2bin(n, bn_n->number);
// Perform tests
TEST_CASE_ASYM(mod_add, madd);
TEST_CASE_ASYM(mod_sub, msub);
TEST_CASE_ASYM(mod_mul, mmul);
TEST_CASE_ASYM(mod_exp, mex);
// Free memory
cop_bn_free(bn_a);
cop_bn_free(bn_b);
cop_bn_free(bn_n);
}
}
cop_bn_free(bn_r);
BN_free(r_hw);
BN_free(r_sw);
BN_free(a);
BN_free(b);
BN_free(n);
BN_CTX_free(ctx);
printf("=== %s: %d/%d failures ===\n", argv[0], fail, total);
return fail;
}
int BN_is_prime_fasttest(const BIGNUM *a, int checks,
void (*callback)(int,int,void *),
BN_CTX *ctx_passed, void *cb_arg,
int do_trial_division)
{
int i, j, ret = -1;
int k;
BN_CTX *ctx = NULL;
BIGNUM *A1, *A1_odd, *check; /* taken from ctx */
BN_MONT_CTX *mont = NULL;
const BIGNUM *A = NULL;
if (checks == BN_prime_checks)
checks = BN_prime_checks_for_size(BN_num_bits(a));
/* first look for small factors */
if (!BN_is_odd(a))
return(0);
if (do_trial_division)
{
for (i = 1; i < NUMPRIMES; i++)
if (BN_mod_word(a, primes[i]) == 0)
return 0;
if (callback != NULL) callback(1, -1, cb_arg);
}
if (ctx_passed != NULL)
ctx = ctx_passed;
else
if ((ctx=BN_CTX_new()) == NULL)
goto err;
BN_CTX_start(ctx);
/* A := abs(a) */
if (a->neg)
{
BIGNUM *t;
if ((t = BN_CTX_get(ctx)) == NULL) goto err;
BN_copy(t, a);
t->neg = 0;
A = t;
}
else
A = a;
A1 = BN_CTX_get(ctx);
A1_odd = BN_CTX_get(ctx);
check = BN_CTX_get(ctx);
if (check == NULL) goto err;
/* compute A1 := A - 1 */
if (!BN_copy(A1, A))
goto err;
if (!BN_sub_word(A1, 1))
goto err;
if (BN_is_zero(A1))
{
ret = 0;
goto err;
}
/* write A1 as A1_odd * 2^k */
k = 1;
while (!BN_is_bit_set(A1, k))
k++;
if (!BN_rshift(A1_odd, A1, k))
goto err;
/* Montgomery setup for computations mod A */
mont = BN_MONT_CTX_new();
if (mont == NULL)
goto err;
if (!BN_MONT_CTX_set(mont, A, ctx))
goto err;
for (i = 0; i < checks; i++)
{
if (!BN_pseudo_rand(check, BN_num_bits(A1), 0, 0))
goto err;
if (BN_cmp(check, A1) >= 0)
if (!BN_sub(check, check, A1))
goto err;
if (!BN_add_word(check, 1))
goto err;
/* now 1 <= check < A */
j = witness(check, A, A1, A1_odd, k, ctx, mont);
if (j == -1) goto err;
if (j)
{
ret=0;
goto err;
}
if (callback != NULL) callback(1,i,cb_arg);
}
ret=1;
err:
if (ctx != NULL)
{
BN_CTX_end(ctx);
if (ctx_passed == NULL)
BN_CTX_free(ctx);
}
if (mont != NULL)
BN_MONT_CTX_free(mont);
return(ret);
}
void do_mul_exp(BIGNUM *r, BIGNUM *a, BIGNUM *b, BIGNUM *c, BN_CTX *ctx)
{
int i,k;
double tm;
long num;
num=BASENUM;
for (i=NUM_START; i<NUM_SIZES; i++)
{
#ifdef C_PRIME
# ifdef TEST_SQRT
if (!BN_set_word(a, 64)) goto err;
if (!BN_set_word(b, P_MOD_64)) goto err;
# define ADD a
# define REM b
# else
# define ADD NULL
# define REM NULL
# endif
if (!BN_generate_prime(c,sizes[i],0,ADD,REM,genprime_cb,NULL)) goto err;
putc('\n', stderr);
fflush(stderr);
#endif
for (k=0; k<num; k++)
{
if (k%50 == 0) /* Average over num/50 different choices of random numbers. */
{
if (!BN_pseudo_rand(a,sizes[i],1,0)) goto err;
if (!BN_pseudo_rand(b,sizes[i],1,0)) goto err;
#ifndef C_PRIME
if (!BN_pseudo_rand(c,sizes[i],1,1)) goto err;
#endif
#ifdef TEST_SQRT
if (!BN_mod_sqr(a,a,c,ctx)) goto err;
if (!BN_mod_sqr(b,b,c,ctx)) goto err;
#else
if (!BN_nnmod(a,a,c,ctx)) goto err;
if (!BN_nnmod(b,b,c,ctx)) goto err;
#endif
if (k == 0)
Time_F(START);
}
#if defined(TEST_EXP)
if (!BN_mod_exp(r,a,b,c,ctx)) goto err;
#elif defined(TEST_MUL)
{
int i = 0;
for (i = 0; i < 50; i++)
if (!BN_mod_mul(r,a,b,c,ctx)) goto err;
}
#elif defined(TEST_SQR)
{
int i = 0;
for (i = 0; i < 50; i++)
{
if (!BN_mod_sqr(r,a,c,ctx)) goto err;
if (!BN_mod_sqr(r,b,c,ctx)) goto err;
}
}
#elif defined(TEST_GCD)
if (!BN_gcd(r,a,b,ctx)) goto err;
if (!BN_gcd(r,b,c,ctx)) goto err;
if (!BN_gcd(r,c,a,ctx)) goto err;
#elif defined(TEST_KRON)
if (-2 == BN_kronecker(a,b,ctx)) goto err;
if (-2 == BN_kronecker(b,c,ctx)) goto err;
if (-2 == BN_kronecker(c,a,ctx)) goto err;
#elif defined(TEST_INV)
if (!BN_mod_inverse(r,a,c,ctx)) goto err;
if (!BN_mod_inverse(r,b,c,ctx)) goto err;
#else /* TEST_SQRT */
if (!BN_mod_sqrt(r,a,c,ctx)) goto err;
if (!BN_mod_sqrt(r,b,c,ctx)) goto err;
#endif
}
tm=Time_F(STOP);
printf(
#if defined(TEST_EXP)
"modexp %4d ^ %4d %% %4d"
#elif defined(TEST_MUL)
"50*modmul %4d %4d %4d"
#elif defined(TEST_SQR)
"100*modsqr %4d %4d %4d"
#elif defined(TEST_GCD)
"3*gcd %4d %4d %4d"
#elif defined(TEST_KRON)
"3*kronecker %4d %4d %4d"
#elif defined(TEST_INV)
"2*inv %4d %4d mod %4d"
#else /* TEST_SQRT */
"2*sqrt [prime == %d (mod 64)] %4d %4d mod %4d"
#endif
" -> %8.3fms %5.1f (%ld)\n",
#ifdef TEST_SQRT
P_MOD_64,
#endif
sizes[i],sizes[i],sizes[i],tm*1000.0/num,tm*mul_c[i]/num, num);
num/=7;
if (num <= 0) num=1;
}
return;
err:
ERR_print_errors_fp(stderr);
}
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);
}
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);
}
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]);
}
}
wi_x509_t * wi_x509_init_with_common_name(wi_x509_t *x509, wi_rsa_t *rsa, wi_string_t *common_name) {
X509_REQ *req;
EVP_PKEY *pkey = NULL;
X509_NAME *name = NULL;
BIGNUM *bn = NULL;
req = X509_REQ_new();
if(!req)
goto err;
if(X509_REQ_set_version(req, 0) != 1)
goto err;
name = X509_NAME_new();
if(X509_NAME_add_entry_by_NID(name,
NID_commonName,
MBSTRING_ASC,
(unsigned char *) wi_string_cstring(common_name),
-1,
-1,
0) != 1)
goto err;
if(X509_REQ_set_subject_name(req, name) != 1)
goto err;
pkey = EVP_PKEY_new();
EVP_PKEY_set1_RSA(pkey, wi_rsa_rsa(rsa));
if(X509_REQ_set_pubkey(req, pkey) != 1)
goto err;
x509->x509 = X509_new();
if(!x509->x509)
goto err;
bn = BN_new();
if(!bn)
goto err;
if(BN_pseudo_rand(bn, 64, 0, 0) != 1)
goto err;
if(!BN_to_ASN1_INTEGER(bn, X509_get_serialNumber(x509->x509)))
goto err;
if(X509_set_issuer_name(x509->x509, X509_REQ_get_subject_name(req)) != 1)
goto err;
if(!X509_gmtime_adj(X509_get_notBefore(x509->x509), 0))
goto err;
if(!X509_gmtime_adj(X509_get_notAfter(x509->x509), 3600 * 24 * 365))
goto err;
if(X509_set_subject_name(x509->x509, X509_REQ_get_subject_name(req)) != 1)
goto end;
if(X509_set_pubkey(x509->x509, pkey) != 1)
goto err;
if(X509_sign(x509->x509, pkey, EVP_sha1()) == 0)
goto err;
goto end;
err:
wi_error_set_openssl_error();
wi_release(x509);
x509 = NULL;
end:
if(req)
X509_REQ_free(req);
if(pkey)
EVP_PKEY_free(pkey);
if(name)
X509_NAME_free(name);
if(bn)
BN_free(bn);
return x509;
}
BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx) {
// Compute a square root of |a| mod |p| using the Tonelli/Shanks algorithm
// (cf. Henri Cohen, "A Course in Algebraic Computational Number Theory",
// algorithm 1.5.1). |p| is assumed to be a prime.
BIGNUM *ret = in;
int err = 1;
int r;
BIGNUM *A, *b, *q, *t, *x, *y;
int e, i, j;
if (!BN_is_odd(p) || BN_abs_is_word(p, 1)) {
if (BN_abs_is_word(p, 2)) {
if (ret == NULL) {
ret = BN_new();
}
if (ret == NULL) {
goto end;
}
if (!BN_set_word(ret, BN_is_bit_set(a, 0))) {
if (ret != in) {
BN_free(ret);
}
return NULL;
}
return ret;
}
OPENSSL_PUT_ERROR(BN, BN_R_P_IS_NOT_PRIME);
return (NULL);
}
if (BN_is_zero(a) || BN_is_one(a)) {
if (ret == NULL) {
ret = BN_new();
}
if (ret == NULL) {
goto end;
}
if (!BN_set_word(ret, BN_is_one(a))) {
if (ret != in) {
BN_free(ret);
}
return NULL;
}
return ret;
}
BN_CTX_start(ctx);
A = BN_CTX_get(ctx);
b = BN_CTX_get(ctx);
q = BN_CTX_get(ctx);
t = BN_CTX_get(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL) {
goto end;
}
if (ret == NULL) {
ret = BN_new();
}
if (ret == NULL) {
goto end;
}
// A = a mod p
if (!BN_nnmod(A, a, p, ctx)) {
goto end;
}
// now write |p| - 1 as 2^e*q where q is odd
e = 1;
while (!BN_is_bit_set(p, e)) {
e++;
}
// we'll set q later (if needed)
if (e == 1) {
// The easy case: (|p|-1)/2 is odd, so 2 has an inverse
// modulo (|p|-1)/2, and square roots can be computed
// directly by modular exponentiation.
// We have
// 2 * (|p|+1)/4 == 1 (mod (|p|-1)/2),
// so we can use exponent (|p|+1)/4, i.e. (|p|-3)/4 + 1.
if (!BN_rshift(q, p, 2)) {
goto end;
}
q->neg = 0;
if (!BN_add_word(q, 1) ||
!BN_mod_exp_mont(ret, A, q, p, ctx, NULL)) {
goto end;
}
err = 0;
goto vrfy;
}
if (e == 2) {
// |p| == 5 (mod 8)
//
// In this case 2 is always a non-square since
// Legendre(2,p) = (-1)^((p^2-1)/8) for any odd prime.
// So if a really is a square, then 2*a is a non-square.
// Thus for
// b := (2*a)^((|p|-5)/8),
// i := (2*a)*b^2
// we have
// i^2 = (2*a)^((1 + (|p|-5)/4)*2)
// = (2*a)^((p-1)/2)
// = -1;
// so if we set
// x := a*b*(i-1),
// then
// x^2 = a^2 * b^2 * (i^2 - 2*i + 1)
// = a^2 * b^2 * (-2*i)
// = a*(-i)*(2*a*b^2)
// = a*(-i)*i
// = a.
//
// (This is due to A.O.L. Atkin,
// <URL:
//http://listserv.nodak.edu/scripts/wa.exe?A2=ind9211&L=nmbrthry&O=T&P=562>,
// November 1992.)
// t := 2*a
if (!BN_mod_lshift1_quick(t, A, p)) {
goto end;
}
// b := (2*a)^((|p|-5)/8)
if (!BN_rshift(q, p, 3)) {
goto end;
}
q->neg = 0;
if (!BN_mod_exp_mont(b, t, q, p, ctx, NULL)) {
goto end;
}
// y := b^2
if (!BN_mod_sqr(y, b, p, ctx)) {
goto end;
}
// t := (2*a)*b^2 - 1
if (!BN_mod_mul(t, t, y, p, ctx) ||
!BN_sub_word(t, 1)) {
goto end;
}
// x = a*b*t
if (!BN_mod_mul(x, A, b, p, ctx) ||
!BN_mod_mul(x, x, t, p, ctx)) {
goto end;
}
if (!BN_copy(ret, x)) {
goto end;
}
err = 0;
goto vrfy;
}
// e > 2, so we really have to use the Tonelli/Shanks algorithm.
// First, find some y that is not a square.
if (!BN_copy(q, p)) {
goto end; // use 'q' as temp
}
q->neg = 0;
i = 2;
do {
// For efficiency, try small numbers first;
// if this fails, try random numbers.
if (i < 22) {
if (!BN_set_word(y, i)) {
goto end;
}
} else {
if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0)) {
goto end;
}
if (BN_ucmp(y, p) >= 0) {
if (!(p->neg ? BN_add : BN_sub)(y, y, p)) {
goto end;
}
}
// now 0 <= y < |p|
if (BN_is_zero(y)) {
if (!BN_set_word(y, i)) {
goto end;
}
}
}
r = bn_jacobi(y, q, ctx); // here 'q' is |p|
if (r < -1) {
goto end;
}
if (r == 0) {
// m divides p
OPENSSL_PUT_ERROR(BN, BN_R_P_IS_NOT_PRIME);
goto end;
}
} while (r == 1 && ++i < 82);
if (r != -1) {
// Many rounds and still no non-square -- this is more likely
// a bug than just bad luck.
// Even if p is not prime, we should have found some y
// such that r == -1.
OPENSSL_PUT_ERROR(BN, BN_R_TOO_MANY_ITERATIONS);
goto end;
}
// Here's our actual 'q':
if (!BN_rshift(q, q, e)) {
goto end;
}
// Now that we have some non-square, we can find an element
// of order 2^e by computing its q'th power.
if (!BN_mod_exp_mont(y, y, q, p, ctx, NULL)) {
goto end;
}
if (BN_is_one(y)) {
OPENSSL_PUT_ERROR(BN, BN_R_P_IS_NOT_PRIME);
goto end;
}
// Now we know that (if p is indeed prime) there is an integer
// k, 0 <= k < 2^e, such that
//
// a^q * y^k == 1 (mod p).
//
// As a^q is a square and y is not, k must be even.
// q+1 is even, too, so there is an element
//
// X := a^((q+1)/2) * y^(k/2),
//
// and it satisfies
//
// X^2 = a^q * a * y^k
// = a,
//
// so it is the square root that we are looking for.
// t := (q-1)/2 (note that q is odd)
if (!BN_rshift1(t, q)) {
goto end;
}
// x := a^((q-1)/2)
if (BN_is_zero(t)) // special case: p = 2^e + 1
{
if (!BN_nnmod(t, A, p, ctx)) {
goto end;
}
if (BN_is_zero(t)) {
// special case: a == 0 (mod p)
BN_zero(ret);
err = 0;
goto end;
} else if (!BN_one(x)) {
goto end;
}
} else {
if (!BN_mod_exp_mont(x, A, t, p, ctx, NULL)) {
goto end;
}
if (BN_is_zero(x)) {
// special case: a == 0 (mod p)
BN_zero(ret);
err = 0;
goto end;
}
}
// b := a*x^2 (= a^q)
if (!BN_mod_sqr(b, x, p, ctx) ||
!BN_mod_mul(b, b, A, p, ctx)) {
goto end;
}
// x := a*x (= a^((q+1)/2))
if (!BN_mod_mul(x, x, A, p, ctx)) {
goto end;
}
while (1) {
// Now b is a^q * y^k for some even k (0 <= k < 2^E
// where E refers to the original value of e, which we
// don't keep in a variable), and x is a^((q+1)/2) * y^(k/2).
//
// We have a*b = x^2,
// y^2^(e-1) = -1,
// b^2^(e-1) = 1.
if (BN_is_one(b)) {
if (!BN_copy(ret, x)) {
goto end;
}
err = 0;
goto vrfy;
}
// find smallest i such that b^(2^i) = 1
i = 1;
if (!BN_mod_sqr(t, b, p, ctx)) {
goto end;
}
while (!BN_is_one(t)) {
i++;
if (i == e) {
OPENSSL_PUT_ERROR(BN, BN_R_NOT_A_SQUARE);
goto end;
}
if (!BN_mod_mul(t, t, t, p, ctx)) {
goto end;
}
}
// t := y^2^(e - i - 1)
if (!BN_copy(t, y)) {
goto end;
}
for (j = e - i - 1; j > 0; j--) {
if (!BN_mod_sqr(t, t, p, ctx)) {
goto end;
}
}
if (!BN_mod_mul(y, t, t, p, ctx) ||
!BN_mod_mul(x, x, t, p, ctx) ||
!BN_mod_mul(b, b, y, p, ctx)) {
goto end;
}
e = i;
}
vrfy:
if (!err) {
// verify the result -- the input might have been not a square
// (test added in 0.9.8)
if (!BN_mod_sqr(x, ret, p, ctx)) {
err = 1;
}
if (!err && 0 != BN_cmp(x, A)) {
OPENSSL_PUT_ERROR(BN, BN_R_NOT_A_SQUARE);
err = 1;
}
}
end:
if (err) {
if (ret != in) {
BN_clear_free(ret);
}
ret = NULL;
}
BN_CTX_end(ctx);
return ret;
}
BIGNUM *BN_mod_sqrt(BIGNUM *in, const BIGNUM *a, const BIGNUM *p, BN_CTX *ctx)
/* Returns 'ret' such that
* ret^2 == a (mod p),
* using the Tonelli/Shanks algorithm (cf. Henri Cohen, "A Course
* in Algebraic Computational Number Theory", algorithm 1.5.1).
* 'p' must be prime!
*/
{
BIGNUM *ret = in;
int err = 1;
int r;
BIGNUM *A, *b, *q, *t, *x, *y;
int e, i, j;
if (!BN_is_odd(p) || BN_abs_is_word(p, 1))
{
if (BN_abs_is_word(p, 2))
{
if (ret == NULL)
ret = BN_new();
if (ret == NULL)
goto end;
if (!BN_set_word(ret, BN_is_bit_set(a, 0)))
{
if (ret != in)
BN_free(ret);
return NULL;
}
bn_check_top(ret);
return ret;
}
BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
return(NULL);
}
if (BN_is_zero(a) || BN_is_one(a))
{
if (ret == NULL)
ret = BN_new();
if (ret == NULL)
goto end;
if (!BN_set_word(ret, BN_is_one(a)))
{
if (ret != in)
BN_free(ret);
return NULL;
}
bn_check_top(ret);
return ret;
}
BN_CTX_start(ctx);
A = BN_CTX_get(ctx);
b = BN_CTX_get(ctx);
q = BN_CTX_get(ctx);
t = BN_CTX_get(ctx);
x = BN_CTX_get(ctx);
y = BN_CTX_get(ctx);
if (y == NULL) goto end;
if (ret == NULL)
ret = BN_new();
if (ret == NULL) goto end;
/* A = a mod p */
if (!BN_nnmod(A, a, p, ctx)) goto end;
/* now write |p| - 1 as 2^e*q where q is odd */
e = 1;
while (!BN_is_bit_set(p, e))
e++;
/* we'll set q later (if needed) */
if (e == 1)
{
/* The easy case: (|p|-1)/2 is odd, so 2 has an inverse
* modulo (|p|-1)/2, and square roots can be computed
* directly by modular exponentiation.
* We have
* 2 * (|p|+1)/4 == 1 (mod (|p|-1)/2),
* so we can use exponent (|p|+1)/4, i.e. (|p|-3)/4 + 1.
*/
if (!BN_rshift(q, p, 2)) goto end;
q->neg = 0;
if (!BN_add_word(q, 1)) goto end;
if (!BN_mod_exp(ret, A, q, p, ctx)) goto end;
err = 0;
goto vrfy;
}
if (e == 2)
{
/* |p| == 5 (mod 8)
*
* In this case 2 is always a non-square since
* Legendre(2,p) = (-1)^((p^2-1)/8) for any odd prime.
* So if a really is a square, then 2*a is a non-square.
* Thus for
* b := (2*a)^((|p|-5)/8),
* i := (2*a)*b^2
* we have
* i^2 = (2*a)^((1 + (|p|-5)/4)*2)
* = (2*a)^((p-1)/2)
* = -1;
* so if we set
* x := a*b*(i-1),
* then
* x^2 = a^2 * b^2 * (i^2 - 2*i + 1)
* = a^2 * b^2 * (-2*i)
* = a*(-i)*(2*a*b^2)
* = a*(-i)*i
* = a.
*
* (This is due to A.O.L. Atkin,
* <URL: http://listserv.nodak.edu/scripts/wa.exe?A2=ind9211&L=nmbrthry&O=T&P=562>,
* November 1992.)
*/
/* t := 2*a */
if (!BN_mod_lshift1_quick(t, A, p)) goto end;
/* b := (2*a)^((|p|-5)/8) */
if (!BN_rshift(q, p, 3)) goto end;
q->neg = 0;
if (!BN_mod_exp(b, t, q, p, ctx)) goto end;
/* y := b^2 */
if (!BN_mod_sqr(y, b, p, ctx)) goto end;
/* t := (2*a)*b^2 - 1*/
if (!BN_mod_mul(t, t, y, p, ctx)) goto end;
if (!BN_sub_word(t, 1)) goto end;
/* x = a*b*t */
if (!BN_mod_mul(x, A, b, p, ctx)) goto end;
if (!BN_mod_mul(x, x, t, p, ctx)) goto end;
if (!BN_copy(ret, x)) goto end;
err = 0;
goto vrfy;
}
/* e > 2, so we really have to use the Tonelli/Shanks algorithm.
* First, find some y that is not a square. */
if (!BN_copy(q, p)) goto end; /* use 'q' as temp */
q->neg = 0;
i = 2;
do
{
/* For efficiency, try small numbers first;
* if this fails, try random numbers.
*/
if (i < 22)
{
if (!BN_set_word(y, i)) goto end;
}
else
{
if (!BN_pseudo_rand(y, BN_num_bits(p), 0, 0)) goto end;
if (BN_ucmp(y, p) >= 0)
{
if (!(p->neg ? BN_add : BN_sub)(y, y, p)) goto end;
}
/* now 0 <= y < |p| */
if (BN_is_zero(y))
if (!BN_set_word(y, i)) goto end;
}
r = BN_kronecker(y, q, ctx); /* here 'q' is |p| */
if (r < -1) goto end;
if (r == 0)
{
/* m divides p */
BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
goto end;
}
}
while (r == 1 && ++i < 82);
if (r != -1)
{
/* Many rounds and still no non-square -- this is more likely
* a bug than just bad luck.
* Even if p is not prime, we should have found some y
* such that r == -1.
*/
BNerr(BN_F_BN_MOD_SQRT, BN_R_TOO_MANY_ITERATIONS);
goto end;
}
/* Here's our actual 'q': */
if (!BN_rshift(q, q, e)) goto end;
/* Now that we have some non-square, we can find an element
* of order 2^e by computing its q'th power. */
if (!BN_mod_exp(y, y, q, p, ctx)) goto end;
if (BN_is_one(y))
{
BNerr(BN_F_BN_MOD_SQRT, BN_R_P_IS_NOT_PRIME);
goto end;
}
/* Now we know that (if p is indeed prime) there is an integer
* k, 0 <= k < 2^e, such that
*
* a^q * y^k == 1 (mod p).
*
* As a^q is a square and y is not, k must be even.
* q+1 is even, too, so there is an element
*
* X := a^((q+1)/2) * y^(k/2),
*
* and it satisfies
*
* X^2 = a^q * a * y^k
* = a,
*
* so it is the square root that we are looking for.
*/
/* t := (q-1)/2 (note that q is odd) */
if (!BN_rshift1(t, q)) goto end;
/* x := a^((q-1)/2) */
if (BN_is_zero(t)) /* special case: p = 2^e + 1 */
{
if (!BN_nnmod(t, A, p, ctx)) goto end;
if (BN_is_zero(t))
{
/* special case: a == 0 (mod p) */
BN_zero(ret);
err = 0;
goto end;
}
else
if (!BN_one(x)) goto end;
}
else
{
if (!BN_mod_exp(x, A, t, p, ctx)) goto end;
if (BN_is_zero(x))
{
/* special case: a == 0 (mod p) */
BN_zero(ret);
err = 0;
goto end;
}
}
/* b := a*x^2 (= a^q) */
if (!BN_mod_sqr(b, x, p, ctx)) goto end;
if (!BN_mod_mul(b, b, A, p, ctx)) goto end;
/* x := a*x (= a^((q+1)/2)) */
if (!BN_mod_mul(x, x, A, p, ctx)) goto end;
while (1)
{
/* Now b is a^q * y^k for some even k (0 <= k < 2^E
* where E refers to the original value of e, which we
* don't keep in a variable), and x is a^((q+1)/2) * y^(k/2).
*
* We have a*b = x^2,
* y^2^(e-1) = -1,
* b^2^(e-1) = 1.
*/
if (BN_is_one(b))
{
if (!BN_copy(ret, x)) goto end;
err = 0;
goto vrfy;
}
/* find smallest i such that b^(2^i) = 1 */
i = 1;
if (!BN_mod_sqr(t, b, p, ctx)) goto end;
while (!BN_is_one(t))
{
i++;
if (i == e)
{
BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
goto end;
}
if (!BN_mod_mul(t, t, t, p, ctx)) goto end;
}
/* t := y^2^(e - i - 1) */
if (!BN_copy(t, y)) goto end;
for (j = e - i - 1; j > 0; j--)
{
if (!BN_mod_sqr(t, t, p, ctx)) goto end;
}
if (!BN_mod_mul(y, t, t, p, ctx)) goto end;
if (!BN_mod_mul(x, x, t, p, ctx)) goto end;
if (!BN_mod_mul(b, b, y, p, ctx)) goto end;
e = i;
}
vrfy:
if (!err)
{
/* verify the result -- the input might have been not a square
* (test added in 0.9.8) */
if (!BN_mod_sqr(x, ret, p, ctx))
err = 1;
if (!err && 0 != BN_cmp(x, A))
{
BNerr(BN_F_BN_MOD_SQRT, BN_R_NOT_A_SQUARE);
err = 1;
}
}
end:
if (err)
{
if (ret != NULL && ret != in)
{
BN_clear_free(ret);
}
ret = NULL;
}
BN_CTX_end(ctx);
bn_check_top(ret);
return ret;
}
/* random number r: 0 <= r < range */
static int bn_rand_range(int pseudo, BIGNUM *r, const BIGNUM *range)
{
/* Although the handling of pseudo to chose between BN_rand and
* BN_pseudo_rand could more cleanly be done via a function pointer, doing
* so crashes the ADS1.2 compiler used by BREW; see bug 329079 :-( */
int n;
int count = 100;
if (range->neg || BN_is_zero(range))
{
BNerr(BN_F_BN_RAND_RANGE, BN_R_INVALID_RANGE);
return 0;
}
n = BN_num_bits(range); /* n > 0 */
/* BN_is_bit_set(range, n - 1) always holds */
if (n == 1)
BN_zero(r);
else if (!BN_is_bit_set(range, n - 2) && !BN_is_bit_set(range, n - 3))
{
/* range = 100..._2,
* so 3*range (= 11..._2) is exactly one bit longer than range */
do
{
#ifdef LIBOPEAY_ASYNCHRONOUS_KEYGENERATION
if (pseudo)
{
if (!BN_pseudo_rand(r, n + 1, -1, 0)) return 0;
}
else
#endif
if (!BN_rand(r, n + 1, -1, 0)) return 0;
/* If r < 3*range, use r := r MOD range
* (which is either r, r - range, or r - 2*range).
* Otherwise, iterate once more.
* Since 3*range = 11..._2, each iteration succeeds with
* probability >= .75. */
if (BN_cmp(r ,range) >= 0)
{
if (!BN_sub(r, r, range)) return 0;
if (BN_cmp(r, range) >= 0)
if (!BN_sub(r, r, range)) return 0;
}
if (!--count)
{
BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
return 0;
}
}
while (BN_cmp(r, range) >= 0);
}
else
{
do
{
/* range = 11..._2 or range = 101..._2 */
#ifdef LIBOPEAY_ASYNCHRONOUS_KEYGENERATION
if (pseudo)
{
if (!BN_pseudo_rand(r, n, -1, 0)) return 0;
}
else
#endif
if (!BN_rand(r, n, -1, 0)) return 0;
if (!--count)
{
BNerr(BN_F_BN_RAND_RANGE, BN_R_TOO_MANY_ITERATIONS);
return 0;
}
}
while (BN_cmp(r, range) >= 0);
}
bn_check_top(r);
return 1;
}
static int cert_init() {
X509 *x509 = NULL;
EVP_PKEY *pkey = NULL;
BIGNUM *exponent = NULL, *serial_number = NULL;
RSA *rsa = NULL;
ASN1_INTEGER *asn1_serial_number;
X509_NAME *name;
struct dtls_cert *new_cert;
ilog(LOG_INFO, "Generating new DTLS certificate");
/* objects */
pkey = EVP_PKEY_new();
exponent = BN_new();
rsa = RSA_new();
serial_number = BN_new();
name = X509_NAME_new();
x509 = X509_new();
if (!exponent || !pkey || !rsa || !serial_number || !name || !x509)
goto err;
/* key */
if (!BN_set_word(exponent, 0x10001))
goto err;
if (!RSA_generate_key_ex(rsa, 1024, exponent, NULL))
goto err;
if (!EVP_PKEY_assign_RSA(pkey, rsa))
goto err;
/* x509 cert */
if (!X509_set_pubkey(x509, pkey))
goto err;
/* serial */
if (!BN_pseudo_rand(serial_number, 64, 0, 0))
goto err;
asn1_serial_number = X509_get_serialNumber(x509);
if (!asn1_serial_number)
goto err;
if (!BN_to_ASN1_INTEGER(serial_number, asn1_serial_number))
goto err;
/* version 1 */
if (!X509_set_version(x509, 0L))
goto err;
/* common name */
if (!X509_NAME_add_entry_by_NID(name, NID_commonName, MBSTRING_UTF8,
(unsigned char *) "rtpengine", -1, -1, 0))
goto err;
if (!X509_set_subject_name(x509, name))
goto err;
if (!X509_set_issuer_name(x509, name))
goto err;
/* cert lifetime */
if (!X509_gmtime_adj(X509_get_notBefore(x509), -60*60*24))
goto err;
if (!X509_gmtime_adj(X509_get_notAfter(x509), CERT_EXPIRY_TIME))
goto err;
/* sign it */
if (!X509_sign(x509, pkey, EVP_sha1()))
goto err;
/* digest */
new_cert = obj_alloc0("dtls_cert", sizeof(*new_cert), cert_free);
new_cert->fingerprint.hash_func = &hash_funcs[0];
dtls_fingerprint_hash(&new_cert->fingerprint, x509);
new_cert->x509 = x509;
new_cert->pkey = pkey;
new_cert->expires = time(NULL) + CERT_EXPIRY_TIME;
dump_cert(new_cert);
/* swap out certs */
rwlock_lock_w(&__dtls_cert_lock);
if (__dtls_cert)
obj_put(__dtls_cert);
__dtls_cert = new_cert;
rwlock_unlock_w(&__dtls_cert_lock);
/* cleanup */
BN_free(exponent);
BN_free(serial_number);
X509_NAME_free(name);
return 0;
err:
ilog(LOG_ERROR, "Failed to generate DTLS certificate");
if (pkey)
EVP_PKEY_free(pkey);
if (exponent)
BN_free(exponent);
if (rsa)
RSA_free(rsa);
if (x509)
X509_free(x509);
if (serial_number)
BN_free(serial_number);
return -1;
}
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);
}
