diff options
Diffstat (limited to 'crypto/ec/ectest.c')
-rw-r--r-- | crypto/ec/ectest.c | 1682 |
1 files changed, 0 insertions, 1682 deletions
diff --git a/crypto/ec/ectest.c b/crypto/ec/ectest.c deleted file mode 100644 index 79ec21f820..0000000000 --- a/crypto/ec/ectest.c +++ /dev/null @@ -1,1682 +0,0 @@ -/* crypto/ec/ectest.c */ -/* - * Originally written by Bodo Moeller for the OpenSSL project. - */ -/* ==================================================================== - * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * - * 1. Redistributions of source code must retain the above copyright - * 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 - * the documentation and/or other materials provided with the - * distribution. - * - * 3. All advertising materials mentioning features or use of this - * software must display the following acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" - * - * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to - * endorse or promote products derived from this software without - * prior written permission. For written permission, please contact - * openssl-core@openssl.org. - * - * 5. Products derived from this software may not be called "OpenSSL" - * nor may "OpenSSL" appear in their names without prior written - * permission of the OpenSSL Project. - * - * 6. Redistributions of any form whatsoever must retain the following - * acknowledgment: - * "This product includes software developed by the OpenSSL Project - * for use in the OpenSSL Toolkit (http://www.openssl.org/)" - * - * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY - * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR - * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR - * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, - * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT - * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; - * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, - * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED - * OF THE POSSIBILITY OF SUCH DAMAGE. - * ==================================================================== - * - * This product includes cryptographic software written by Eric Young - * (eay@cryptsoft.com). This product includes software written by Tim - * Hudson (tjh@cryptsoft.com). - * - */ -/* ==================================================================== - * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. - * - * 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 - * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. - * - */ - -#include <stdio.h> -#include <stdlib.h> -#ifdef FLAT_INC -# include "e_os.h" -#else -# 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; -} -#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) -/* 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); \ -} while (0) - -# define TIMING_BASE_PT 0 -# define TIMING_RAND_PT 1 -# define TIMING_SIMUL 2 - -/* test multiplication with group order, long and negative scalars */ -static void group_order_tests(EC_GROUP *group) -{ - BIGNUM *n1, *n2, *order; - EC_POINT *P = EC_POINT_new(group); - EC_POINT *Q = EC_POINT_new(group); - BN_CTX *ctx = BN_CTX_new(); - int i; - - n1 = BN_new(); - n2 = BN_new(); - order = BN_new(); - fprintf(stdout, "verify group order ..."); - fflush(stdout); - if (!EC_GROUP_get_order(group, order, ctx)) - ABORT; - if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) - ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) - ABORT; - fprintf(stdout, "."); - fflush(stdout); - if (!EC_GROUP_precompute_mult(group, ctx)) - ABORT; - if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) - ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) - ABORT; - fprintf(stdout, " ok\n"); - fprintf(stdout, "long/negative scalar tests "); - for (i = 1; i <= 2; i++) { - const BIGNUM *scalars[6]; - const EC_POINT *points[6]; - - fprintf(stdout, i == 1 ? - "allowing precomputation ... " : - "without precomputation ... "); - if (!BN_set_word(n1, i)) - ABORT; - /* - * If i == 1, P will be the predefined generator for which - * EC_GROUP_precompute_mult has set up precomputation. - */ - if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) - ABORT; - - if (!BN_one(n1)) - ABORT; - /* n1 = 1 - order */ - if (!BN_sub(n1, n1, order)) - ABORT; - if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) - ABORT; - if (0 != EC_POINT_cmp(group, Q, P, ctx)) - ABORT; - - /* n2 = 1 + order */ - if (!BN_add(n2, order, BN_value_one())) - ABORT; - if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) - ABORT; - if (0 != EC_POINT_cmp(group, Q, P, ctx)) - ABORT; - - /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ - if (!BN_mul(n2, n1, n2, ctx)) - ABORT; - if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) - ABORT; - if (0 != EC_POINT_cmp(group, Q, P, ctx)) - ABORT; - - /* n2 = order^2 - 1 */ - BN_set_negative(n2, 0); - if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) - ABORT; - /* Add P to verify the result. */ - if (!EC_POINT_add(group, Q, Q, P, ctx)) - ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) - ABORT; - - /* Exercise EC_POINTs_mul, including corner cases. */ - if (EC_POINT_is_at_infinity(group, P)) - ABORT; - scalars[0] = n1; - points[0] = Q; /* => infinity */ - scalars[1] = n2; - points[1] = P; /* => -P */ - scalars[2] = n1; - points[2] = Q; /* => infinity */ - scalars[3] = n2; - points[3] = Q; /* => infinity */ - scalars[4] = n1; - points[4] = P; /* => P */ - scalars[5] = n2; - points[5] = Q; /* => infinity */ - if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) - ABORT; - if (!EC_POINT_is_at_infinity(group, P)) - ABORT; - } - fprintf(stdout, "ok\n"); - - EC_POINT_free(P); - EC_POINT_free(Q); - BN_free(n1); - BN_free(n2); - BN_free(order); - BN_CTX_free(ctx); -} - -static void prime_field_tests(void) -{ - BN_CTX *ctx = NULL; - BIGNUM *p, *a, *b; - EC_GROUP *group; - EC_GROUP *P_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; - - ctx = BN_CTX_new(); - if (!ctx) - ABORT; - - 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; - - } - 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) */ - - scalar3 = BN_new(); - if (!scalar3) - ABORT; - BN_zero(scalar3); - scalars[3] = scalar3; - - if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) - ABORT; - if (!EC_POINT_is_at_infinity(group, P)) - ABORT; - - fprintf(stdout, " ok\n\n"); - - BN_free(scalar3); - } - - if (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); - - EC_GROUP_free(P_160); - EC_GROUP_free(P_192); - EC_GROUP_free(P_224); - EC_GROUP_free(P_256); - EC_GROUP_free(P_384); - 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 - -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; - - ctx = BN_CTX_new(); - if (!ctx) - ABORT; - - p = BN_new(); - a = BN_new(); - b = BN_new(); - if (!p || !a || !b) - ABORT; - - if (!BN_hex2bn(&p, "13")) - ABORT; - if (!BN_hex2bn(&a, "3")) - ABORT; - if (!BN_hex2bn(&b, "1")) - ABORT; - - group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use - * EC_GROUP_new_curve_GF2m - * so that the library gets - * to choose the EC_METHOD */ - if (!group) - ABORT; - if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) - ABORT; - - { - EC_GROUP *tmp; - tmp = EC_GROUP_new(EC_GROUP_method_of(group)); - if (!tmp) - ABORT; - if (!EC_GROUP_copy(tmp, group)) - ABORT; - EC_GROUP_free(group); - group = tmp; - } - - if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) - ABORT; - - fprintf(stdout, - "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); - BN_print_fp(stdout, p); - fprintf(stdout, ")\n a = 0x"); - BN_print_fp(stdout, a); - fprintf(stdout, "\n b = 0x"); - BN_print_fp(stdout, b); - fprintf(stdout, "\n(0x... means binary polynomial)\n"); - - P = EC_POINT_new(group); - Q = EC_POINT_new(group); - R = EC_POINT_new(group); - if (!P || !Q || !R) - ABORT; - - if (!EC_POINT_set_to_infinity(group, P)) - ABORT; - if (!EC_POINT_is_at_infinity(group, P)) - ABORT; - - buf[0] = 0; - if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) - ABORT; - - if (!EC_POINT_add(group, P, P, Q, ctx)) - ABORT; - if (!EC_POINT_is_at_infinity(group, P)) - ABORT; - - x = BN_new(); - y = BN_new(); - z = BN_new(); - cof = BN_new(); - if (!x || !y || !z || !cof) - ABORT; - - if (!BN_hex2bn(&x, "6")) - ABORT; -/* Change test based on whether binary point compression is enabled or not. */ -# ifdef OPENSSL_EC_BIN_PT_COMP - if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) - ABORT; -# else - if (!BN_hex2bn(&y, "8")) - ABORT; - if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) - ABORT; -# endif - if (!EC_POINT_is_on_curve(group, Q, ctx)) { -/* Change test based on whether binary point compression is enabled or not. */ -# ifdef OPENSSL_EC_BIN_PT_COMP - if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) - ABORT; -# endif - fprintf(stderr, "Point is not on curve: x = 0x"); - BN_print_fp(stderr, x); - fprintf(stderr, ", y = 0x"); - BN_print_fp(stderr, y); - fprintf(stderr, "\n"); - ABORT; - } - - fprintf(stdout, "A cyclic subgroup:\n"); - k = 100; - do { - if (k-- == 0) - ABORT; - - if (EC_POINT_is_at_infinity(group, P)) - fprintf(stdout, " point at infinity\n"); - else { - if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) |