diff options
Diffstat (limited to 'openssl/crypto/ec/ectest.c')
| -rw-r--r-- | openssl/crypto/ec/ectest.c | 3180 |
1 files changed, 1758 insertions, 1422 deletions
diff --git a/openssl/crypto/ec/ectest.c b/openssl/crypto/ec/ectest.c index d1bf98059..a18b32761 100644 --- a/openssl/crypto/ec/ectest.c +++ b/openssl/crypto/ec/ectest.c @@ -10,7 +10,7 @@ * are met: * * 1. Redistributions of source code must retain the above copyright - * notice, this list of conditions and the following disclaimer. + * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in @@ -58,13 +58,13 @@ /* ==================================================================== * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. * - * Portions of the attached software ("Contribution") are developed by + * Portions of the attached software ("Contribution") are developed by * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. * * The Contribution is licensed pursuant to the OpenSSL open source * license provided above. * - * The elliptic curve binary polynomial software is originally written by + * The elliptic curve binary polynomial software is originally written by * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. * */ @@ -72,1454 +72,1790 @@ #include <stdio.h> #include <stdlib.h> #ifdef FLAT_INC -#include "e_os.h" +# include "e_os.h" #else -#include "../e_os.h" +# include "../e_os.h" #endif #include <string.h> #include <time.h> - #ifdef OPENSSL_NO_EC -int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; } +int main(int argc, char *argv[]) +{ + puts("Elliptic curves are disabled."); + return 0; +} #else - -#include <openssl/ec.h> -#ifndef OPENSSL_NO_ENGINE -#include <openssl/engine.h> -#endif -#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) +# include <openssl/ec.h> +# ifndef OPENSSL_NO_ENGINE +# include <openssl/engine.h> +# endif +# 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); \ - fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ - ERR_print_errors_fp(stderr); \ - EXIT(1); \ +# pragma warning(disable:4959) +# endif + +# define ABORT do { \ + fflush(stdout); \ + fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ + ERR_print_errors_fp(stderr); \ + EXIT(1); \ } while (0) -#define TIMING_BASE_PT 0 -#define TIMING_RAND_PT 1 -#define TIMING_SIMUL 2 +# define TIMING_BASE_PT 0 +# define TIMING_RAND_PT 1 +# define TIMING_SIMUL 2 -#if 0 +# if 0 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]); - } - } -#endif +{ + 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]); + } +} +# endif /* 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); - } +{ + 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_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 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 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 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; - 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"); - - 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 (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"); - - group_order_tests(group); - - 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"); - - group_order_tests(group); - - 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"); - - group_order_tests(group); - - 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"); - - group_order_tests(group); - - 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"); - - group_order_tests(group); - - 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[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; - 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) */ - - BN_init(&scalar3); - 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_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); - - } +{ + 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 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 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 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; + 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"); + + 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 (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"); + + group_order_tests(group); + + 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"); + + group_order_tests(group); + + 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"); + + group_order_tests(group); + + 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"); + + group_order_tests(group); + + 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"); + + group_order_tests(group); + + 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[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; + 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) */ + + BN_init(&scalar3); + 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_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); + +} /* Change test based on whether binary point compression is enabled or not. */ -#ifdef OPENSSL_EC_BIN_PT_COMP -#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ - if (!BN_hex2bn(&x, _x)) ABORT; \ - if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ - if (!BN_hex2bn(&z, _order)) ABORT; \ - if (!BN_hex2bn(&cof, _cof)) ABORT; \ - if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ - if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ - fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ - 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, _y)) ABORT; \ - if (0 != BN_cmp(y, z)) ABORT; -#else -#define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ - if (!BN_hex2bn(&x, _x)) ABORT; \ - if (!BN_hex2bn(&y, _y)) ABORT; \ - if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ - if (!BN_hex2bn(&z, _order)) ABORT; \ - if (!BN_hex2bn(&cof, _cof)) ABORT; \ - if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ - fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ - BN_print_fp(stdout, x); \ - fprintf(stdout, "\n y = 0x"); \ - BN_print_fp(stdout, y); \ - fprintf(stdout, "\n"); -#endif - -#define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ - if (!BN_hex2bn(&p, _p)) ABORT; \ - if (!BN_hex2bn(&a, _a)) ABORT; \ - if (!BN_hex2bn(&b, _b)) ABORT; \ - if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ - CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ - fprintf(stdout, "verify degree ..."); \ - if (EC_GROUP_get_degree(group) != _degree) 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; \ - -#ifndef OPENSSL_NO_EC2M +# ifdef OPENSSL_EC_BIN_PT_COMP +# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&x, _x)) ABORT; \ + if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ + if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ + if (!BN_hex2bn(&z, _order)) ABORT; \ + if (!BN_hex2bn(&cof, _cof)) ABORT; \ + if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ + if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ + fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ + 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, _y)) ABORT; \ + if (0 != BN_cmp(y, z)) ABORT; +# else +# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&x, _x)) ABORT; \ + if (!BN_hex2bn(&y, _y)) ABORT; \ + if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ + if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ + if (!BN_hex2bn(&z, _order)) ABORT; \ + if (!BN_hex2bn(&cof, _cof)) ABORT; \ + if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ + fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ + BN_print_fp(stdout, x); \ + fprintf(stdout, "\n y = 0x"); \ + BN_print_fp(stdout, y); \ + fprintf(stdout, "\n"); +# endif + +# define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&p, _p)) ABORT; \ + if (!BN_hex2bn(&a, _a)) ABORT; \ + if (!BN_hex2bn(&b, _b)) ABORT; \ + if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ + CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + fprintf(stdout, "verify degree ..."); \ + if (EC_GROUP_get_degree(group) != _degree) 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; \ + +# ifndef OPENSSL_NO_EC2M static void char2_field_tests(void) - { - 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; +{ + 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)) - { +# 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; +# 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 +# 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]); - - 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); - - } -#endif +/* 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); + +} +# endif static void internal_curve_test(void) - { - EC_builtin_curve *curves = NULL; - size_t crv_len = 0, n = 0; - int ok = 1; - - crv_len = EC_get_builtin_curves(NULL, 0); - - curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); - - if (curves == NULL) - return; - - if (!EC_get_builtin_curves(curves, crv_len)) - { - OPENSSL_free(curves); - return; - } - - fprintf(stdout, "testing internal curves: "); - - for (n = 0; n < crv_len; n++) - { - EC_GROUP *group = NULL; - int nid = curves[n].nid; - if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) - { - ok = 0; - fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" - " curve %s\n", OBJ_nid2sn(nid)); - /* try next curve */ - continue; - } - if (!EC_GROUP_check(group, NULL)) - { - ok = 0; - fprintf(stdout, "\nEC_GROUP_check() failed with" - " curve %s\n", OBJ_nid2sn(nid)); - EC_GROUP_free(group); - /* try the next curve */ - continue; - } - fprintf(stdout, "."); - fflush(stdout); - EC_GROUP_free(group); - } - if (ok) - fprintf(stdout, " ok\n\n"); - else - { - 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 */ - }, - }; - -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); - } - -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"; +{ + EC_builtin_curve *curves = NULL; + size_t crv_len = 0, n = 0; + int ok = 1; + + crv_len = EC_get_builtin_curves(NULL, 0); + + curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); + + if (curves == NULL) + return; + + if (!EC_get_builtin_curves(curves, crv_len)) { + OPENSSL_free(curves); + return; + } + + fprintf(stdout, "testing internal curves: "); + + for (n = 0; n < crv_len; n++) { + EC_GROUP *group = NULL; + int nid = curves[n].nid; + if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { + ok = 0; + fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" + " curve %s\n", OBJ_nid2sn(nid)); + /* try next curve */ + continue; + } + if (!EC_GROUP_check(group, NULL)) { + ok = 0; + fprintf(stdout, "\nEC_GROUP_check() failed with" + " curve %s\n", OBJ_nid2sn(nid)); + EC_GROUP_free(group); + /* try the next curve */ + continue; + } + fprintf(stdout, "."); + fflush(stdout); + EC_GROUP_free(group); + } + if (ok) + fprintf(stdout, " ok\n\n"); + else { + 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://csrcdocut.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, + /* p */ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001", + /* a */ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE", + /* b */ + "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4", + /* Qx */ + "E84FB0B8E7000CB657D7973CF6B42ED78B301674276DF744AF130B3E", + /* Qy */ + "4376675C6FC5612C21A0FF2D2A89D2987DF7A2BC52183B5982298555", + /* Gx */ + "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21", + /* Gy */ + "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34", + /* order */ + "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D", + /* d */ + "3F0C488E987C80BE0FEE521F8D90BE6034EC69AE11CA72AA777481E8", + }, + { + /* P-256 */ + EC_GFp_nistp256_method, + 256, + /* p */ + "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", + /* a */ + "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", + /* b */ + "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", + /* Qx */ + "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", + /* Qy */ + "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", + /* Gx */ + "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", + /* Gy */ + "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", + /* order */ + "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", + /* d */ + "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", + }, + { + /* P-521 */ + EC_GFp_nistp521_method, + 521, + /* p */ + "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", + /* a */ + "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", + /* b */ + "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", + /* Qx */ + "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", + /* Qy */ + "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", + /* Gx */ + "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", + /* Gy */ + "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", + /* order */ + "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", + /* d */ + "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", + }, +}; + +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[]) - { - - /* enable memory leak checking unless explicitly disabled */ - if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) - { - CRYPTO_malloc_debug_init(); - CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); - } - else - { - /* OPENSSL_DEBUG_MEMORY=off */ - CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); - } - CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); - ERR_load_crypto_strings(); - - RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ - - 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(); - -#ifndef OPENSSL_NO_ENGINE - ENGINE_cleanup(); -#endif - CRYPTO_cleanup_all_ex_data(); - ERR_free_strings(); - ERR_remove_thread_state(NULL); - CRYPTO_mem_leaks_fp(stderr); - - return 0; - } +{ + + /* enable memory leak checking unless explicitly disabled */ + if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) + && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) { + CRYPTO_malloc_debug_init(); + CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); + } else { + /* OPENSSL_DEBUG_MEMORY=off */ + CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); + } + CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); + ERR_load_crypto_strings(); + + RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ + + 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(); + +# ifndef OPENSSL_NO_ENGINE + ENGINE_cleanup(); +# endif + CRYPTO_cleanup_all_ex_data(); + ERR_free_strings(); + ERR_remove_thread_state(NULL); + CRYPTO_mem_leaks_fp(stderr); + + return 0; +} #endif |