#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/objects.h>
+#include <openssl/rand.h>
+#include <openssl/bn.h>
+#include <openssl/opensslconf.h>
+
+#if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12)
+/* suppress "too big too optimize" warning */
+#pragma warning(disable:4959)
+#endif
#define ABORT do { \
fflush(stdout); \
EXIT(1); \
} while (0)
-void prime_field_tests(void);
-void char2_field_tests(void);
-void internal_curve_test(void);
+#define TIMING_BASE_PT 0
+#define TIMING_RAND_PT 1
+#define TIMING_SIMUL 2
#if 0
-static void timings(EC_GROUP *group, int multi, BN_CTX *ctx)
+static void timings(EC_GROUP *group, int type, BN_CTX *ctx)
{
clock_t clck;
int i, j;
{
if ((r[i] = BN_new()) == NULL) ABORT;
if (!BN_pseudo_rand(r[i], BN_num_bits(s), 0, 0)) ABORT;
- if (multi)
+ 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;
{
for (j = 0; j < 10; j++)
{
- if (!EC_POINT_mul(group, P, r[i], multi ? P : NULL, multi ? r0[i] : NULL, ctx)) ABORT;
+ 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;
}
}
- fprintf(stdout, "\n");
-
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
# 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);
+ 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);
for (i = 0; i < 10; i++)
{
BN_free(r[i]);
- if (multi) BN_free(r0[i]);
+ if (type != TIMING_BASE_PT) BN_free(r0[i]);
}
}
#endif
-void prime_field_tests()
- {
+/* test multiplication with group order, long and negative scalars */
+static void group_order_tests(EC_GROUP *group)
+ {
+ BIGNUM *n1, *n2, *order;
+ EC_POINT *P = EC_POINT_new(group);
+ EC_POINT *Q = EC_POINT_new(group);
+ BN_CTX *ctx = BN_CTX_new();
+ int i;
+
+ n1 = BN_new(); n2 = BN_new(); order = BN_new();
+ fprintf(stdout, "verify group order ...");
+ fflush(stdout);
+ if (!EC_GROUP_get_order(group, order, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, order, 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, order, NULL, NULL, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+ fprintf(stdout, " ok\n");
+ fprintf(stdout, "long/negative scalar tests ");
+ for (i = 1; i <= 2; i++)
+ {
+ const BIGNUM *scalars[6];
+ const EC_POINT *points[6];
+
+ fprintf(stdout, i == 1 ?
+ "allowing precomputation ... " :
+ "without precomputation ... ");
+ if (!BN_set_word(n1, i)) ABORT;
+ /* If i == 1, P will be the predefined generator for which
+ * EC_GROUP_precompute_mult has set up precomputation. */
+ if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) ABORT;
+
+ if (!BN_one(n1)) ABORT;
+ /* n1 = 1 - order */
+ if (!BN_sub(n1, n1, order)) ABORT;
+ if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
+
+ /* n2 = 1 + order */
+ if (!BN_add(n2, order, BN_value_one())) ABORT;
+ if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
+
+ /* n2 = (1 - order) * (1 + order) = 1 - order^2 */
+ if (!BN_mul(n2, n1, n2, ctx)) ABORT;
+ if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
+ if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT;
+
+ /* n2 = order^2 - 1 */
+ BN_set_negative(n2, 0);
+ if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT;
+ /* Add P to verify the result. */
+ if (!EC_POINT_add(group, Q, Q, P, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, Q)) ABORT;
+
+ /* Exercise EC_POINTs_mul, including corner cases. */
+ if (EC_POINT_is_at_infinity(group, P)) ABORT;
+ scalars[0] = n1; points[0] = Q; /* => infinity */
+ scalars[1] = n2; points[1] = P; /* => -P */
+ scalars[2] = n1; points[2] = Q; /* => infinity */
+ scalars[3] = n2; points[3] = Q; /* => infinity */
+ scalars[4] = n1; points[4] = P; /* => P */
+ scalars[5] = n2; points[5] = Q; /* => infinity */
+ if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) ABORT;
+ if (!EC_POINT_is_at_infinity(group, P)) ABORT;
+ }
+ fprintf(stdout, "ok\n");
+
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ BN_free(n1);
+ BN_free(n2);
+ BN_free(order);
+ BN_CTX_free(ctx);
+ }
+
+static void prime_field_tests(void)
+ {
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
EC_GROUP *group;
- EC_GROUP *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL;
+ 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];
EC_GROUP *tmp;
tmp = EC_GROUP_new(EC_GROUP_method_of(group));
if (!tmp) ABORT;
- if (!EC_GROUP_copy(tmp, group));
+ if (!EC_GROUP_copy(tmp, group)) ABORT;
EC_GROUP_free(group);
group = tmp;
}
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 ");
+ fprintf(stdout, "Generator as octet 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 ");
+ fprintf(stdout, "\nGenerator as octet 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 ");
+ fprintf(stdout, "\nGenerator as octet 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;
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");
+
+ group_order_tests(group);
+
+ 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 (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 (!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");
+ group_order_tests(group);
if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_192, group)) ABORT;
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 (!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");
+ group_order_tests(group);
if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_224, group)) ABORT;
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 (!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");
+ group_order_tests(group);
if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_256, group)) 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 (!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");
+
+ group_order_tests(group);
if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_384, group)) 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 (!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");
+
+ group_order_tests(group);
if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT;
if (!EC_GROUP_copy(P_521, group)) ABORT;
if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */
{
- const EC_POINT *points[3];
- const BIGNUM *scalars[3];
+ const EC_POINT *points[4];
+ const BIGNUM *scalars[4];
+ BIGNUM *scalar3;
if (EC_POINT_is_at_infinity(group, Q)) ABORT;
points[0] = Q;
points[1] = Q;
points[2] = Q;
+ points[3] = Q;
+ if (!EC_GROUP_get_order(group, z, ctx)) ABORT;
if (!BN_add(y, z, BN_value_one())) ABORT;
if (BN_is_odd(y)) ABORT;
if (!BN_rshift1(y, y)) ABORT;
if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
if (!BN_add(z, z, y)) ABORT;
- BN_set_sign(z, 1);
+ BN_set_negative(z, 1);
scalars[0] = y;
scalars[1] = z; /* z = -(order + y) */
if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
if (!BN_add(z, x, y)) ABORT;
- BN_set_sign(z, 1);
+ 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;
+ scalar3 = BN_new();
+ if(!scalar3) ABORT;
+ BN_zero(scalar3);
+ scalars[3] = scalar3;
+
+ if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT;
if (!EC_POINT_is_at_infinity(group, P)) ABORT;
fprintf(stdout, " ok\n\n");
+
+ BN_free(scalar3);
}
#if 0
- timings(P_192, 0, ctx);
- timings(P_192, 1, ctx);
- timings(P_224, 0, ctx);
- timings(P_224, 1, ctx);
- timings(P_256, 0, ctx);
- timings(P_256, 1, ctx);
- timings(P_384, 0, ctx);
- timings(P_384, 1, ctx);
- timings(P_521, 0, ctx);
- timings(P_521, 1, ctx);
+ 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
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);
fprintf(stdout, "verify degree ..."); \
if (EC_GROUP_get_degree(group) != _degree) 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"); \
+ group_order_tests(group); \
if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \
- if (!EC_GROUP_copy(_variable, group)) ABORT;
+ if (!EC_GROUP_copy(_variable, group)) ABORT; \
-void char2_field_tests()
- {
+#ifndef OPENSSL_NO_EC2M
+
+static void char2_field_tests(void)
+ {
BN_CTX *ctx = NULL;
BIGNUM *p, *a, *b;
EC_GROUP *group;
EC_GROUP *tmp;
tmp = EC_GROUP_new(EC_GROUP_method_of(group));
if (!tmp) ABORT;
- if (!EC_GROUP_copy(tmp, group));
+ if (!EC_GROUP_copy(tmp, group)) ABORT;
EC_GROUP_free(group);
group = tmp;
}
if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT;
if (!BN_add(z, z, y)) ABORT;
- BN_set_sign(z, 1);
+ BN_set_negative(z, 1);
scalars[0] = y;
scalars[1] = z; /* z = -(order + y) */
if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT;
if (!BN_add(z, x, y)) ABORT;
- BN_set_sign(z, 1);
+ BN_set_negative(z, 1);
scalars[0] = x;
scalars[1] = y;
scalars[2] = z; /* z = -(x+y) */
#if 0
- timings(C2_K163, 0, ctx);
- timings(C2_K163, 1, ctx);
- timings(C2_B163, 0, ctx);
- timings(C2_B163, 1, ctx);
- timings(C2_K233, 0, ctx);
- timings(C2_K233, 1, ctx);
- timings(C2_B233, 0, ctx);
- timings(C2_B233, 1, ctx);
- timings(C2_K283, 0, ctx);
- timings(C2_K283, 1, ctx);
- timings(C2_B283, 0, ctx);
- timings(C2_B283, 1, ctx);
- timings(C2_K409, 0, ctx);
- timings(C2_K409, 1, ctx);
- timings(C2_B409, 0, ctx);
- timings(C2_B409, 1, ctx);
- timings(C2_K571, 0, ctx);
- timings(C2_K571, 1, ctx);
- timings(C2_B571, 0, ctx);
- timings(C2_B571, 1, ctx);
+ 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 (C2_B571) EC_GROUP_free(C2_B571);
}
+#endif
-void internal_curve_test(void)
+static void internal_curve_test(void)
{
EC_builtin_curve *curves = NULL;
size_t crv_len = 0, n = 0;
{
EC_GROUP *group = NULL;
int nid = curves[n].nid;
- if ((group = EC_GROUP_new_by_nid(nid)) == NULL)
+ if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL)
{
ok = 0;
- fprintf(stdout, "\nEC_GROUP_new_by_nid() failed with"
+ fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with"
" curve %s\n", OBJ_nid2sn(nid));
/* try next curve */
continue;
EC_GROUP_free(group);
}
if (ok)
- fprintf(stdout, " ok\n");
+ fprintf(stdout, " ok\n\n");
else
- fprintf(stdout, " failed\n");
+ {
+ fprintf(stdout, " failed\n\n");
+ ABORT;
+ }
OPENSSL_free(curves);
return;
}
+#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
+/* nistp_test_params contains magic numbers for testing our optimized
+ * implementations of several NIST curves with characteristic > 3. */
+struct nistp_test_params
+ {
+ const EC_METHOD* (*meth) ();
+ int degree;
+ /* Qx, Qy and D are taken from
+ * http://csrc.nist.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf
+ * Otherwise, values are standard curve parameters from FIPS 180-3 */
+ const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d;
+ };
+
+static const struct nistp_test_params nistp_tests_params[] =
+ {
+ {
+ /* P-224 */
+ EC_GFp_nistp224_method,
+ 224,
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", /* p */
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", /* a */
+ "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", /* b */
+ "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", /* Qx */
+ "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", /* Qy */
+ "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", /* Gx */
+ "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", /* Gy */
+ "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", /* order */
+ "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", /* d */
+ },
+ {
+ /* P-256 */
+ EC_GFp_nistp256_method,
+ 256,
+ "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
+ "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
+ "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
+ "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
+ "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
+ "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
+ "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
+ "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
+ "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
+ },
+ {
+ /* P-521 */
+ EC_GFp_nistp521_method,
+ 521,
+ "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* p */
+ "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* a */
+ "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* b */
+ "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qx */
+ "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Qy */
+ "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gx */
+ "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* Gy */
+ "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* order */
+ "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", /* d */
+ },
+ };
+
+static void nistp_single_test(const struct nistp_test_params *test)
+ {
+ BN_CTX *ctx;
+ BIGNUM *p, *a, *b, *x, *y, *n, *m, *order;
+ EC_GROUP *NISTP;
+ EC_POINT *G, *P, *Q, *Q_CHECK;
+
+ fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree);
+ ctx = BN_CTX_new();
+ p = BN_new();
+ a = BN_new();
+ b = BN_new();
+ x = BN_new(); y = BN_new();
+ m = BN_new(); n = BN_new(); order = BN_new();
+
+ NISTP = EC_GROUP_new(test->meth());
+ if(!NISTP) ABORT;
+ if (!BN_hex2bn(&p, test->p)) ABORT;
+ if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT;
+ if (!BN_hex2bn(&a, test->a)) ABORT;
+ if (!BN_hex2bn(&b, test->b)) ABORT;
+ if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT;
+ G = EC_POINT_new(NISTP);
+ P = EC_POINT_new(NISTP);
+ Q = EC_POINT_new(NISTP);
+ Q_CHECK = EC_POINT_new(NISTP);
+ if(!BN_hex2bn(&x, test->Qx)) ABORT;
+ if(!BN_hex2bn(&y, test->Qy)) ABORT;
+ if(!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT;
+ if (!BN_hex2bn(&x, test->Gx)) ABORT;
+ if (!BN_hex2bn(&y, test->Gy)) ABORT;
+ if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT;
+ if (!BN_hex2bn(&order, test->order)) ABORT;
+ if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
+
+ fprintf(stdout, "verify degree ... ");
+ if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT;
+ fprintf(stdout, "ok\n");
+
+ fprintf(stdout, "NIST test vectors ... ");
+ if (!BN_hex2bn(&n, test->d)) ABORT;
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+
+ /* set generator to P = 2*G, where G is the standard generator */
+ if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT;
+ if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT;
+ /* set the scalar to m=n/2, where n is the NIST test scalar */
+ if (!BN_rshift(m, n, 1)) ABORT;
+
+ /* test the non-standard generator */
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+
+ /* now repeat all tests with precomputation */
+ if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT;
+
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, P, m, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+
+ /* reset generator */
+ if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT;
+ /* fixed point multiplication */
+ EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+ /* random point multiplication */
+ EC_POINT_mul(NISTP, Q, NULL, G, n, ctx);
+ if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT;
+
+ fprintf(stdout, "ok\n");
+ group_order_tests(NISTP);
+#if 0
+ timings(NISTP, TIMING_BASE_PT, ctx);
+ timings(NISTP, TIMING_RAND_PT, ctx);
+#endif
+ EC_GROUP_free(NISTP);
+ EC_POINT_free(G);
+ EC_POINT_free(P);
+ EC_POINT_free(Q);
+ EC_POINT_free(Q_CHECK);
+ BN_free(n);
+ BN_free(m);
+ BN_free(p);
+ BN_free(a);
+ BN_free(b);
+ BN_free(x);
+ BN_free(y);
+ BN_free(order);
+ BN_CTX_free(ctx);
+ }
+
+static void nistp_tests()
+ {
+ unsigned i;
+
+ for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++)
+ {
+ nistp_single_test(&nistp_tests_params[i]);
+ }
+ }
+#endif
+
static const char rnd_seed[] = "string to make the random number generator think it has entropy";
int main(int argc, char *argv[])
prime_field_tests();
puts("");
+#ifndef OPENSSL_NO_EC2M
char2_field_tests();
+#endif
+#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
+ nistp_tests();
+#endif
/* test the internal curves */
internal_curve_test();
#endif
CRYPTO_cleanup_all_ex_data();
ERR_free_strings();
- ERR_remove_state(0);
+ ERR_remove_thread_state(NULL);
CRYPTO_mem_leaks_fp(stderr);
return 0;
projects / openssl.git / blobdiff