diff options
Diffstat (limited to 'openssl/crypto/ec/ectest.c')
| -rw-r--r-- | openssl/crypto/ec/ectest.c | 1334 |
1 files changed, 0 insertions, 1334 deletions
diff --git a/openssl/crypto/ec/ectest.c b/openssl/crypto/ec/ectest.c deleted file mode 100644 index 7509cb9c..00000000 --- a/openssl/crypto/ec/ectest.c +++ /dev/null @@ -1,1334 +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> - -#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) - -void prime_field_tests(void); -void char2_field_tests(void); -void internal_curve_test(void); - -#define TIMING_BASE_PT 0 -#define TIMING_RAND_PT 1 -#define TIMING_SIMUL 2 - -#if 0 -static void timings(EC_GROUP *group, int 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 - -void prime_field_tests() - { - BN_CTX *ctx = NULL; - BIGNUM *p, *a, *b; - EC_GROUP *group; - EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; - EC_POINT *P, *Q, *R; - BIGNUM *x, *y, *z; - unsigned char buf[100]; - size_t i, len; - int k; - -#if 1 /* optional */ - ctx = BN_CTX_new(); - if (!ctx) ABORT; -#endif - - p = BN_new(); - a = BN_new(); - b = BN_new(); - if (!p || !a || !b) ABORT; - - if (!BN_hex2bn(&p, "17")) ABORT; - if (!BN_hex2bn(&a, "1")) ABORT; - if (!BN_hex2bn(&b, "1")) ABORT; - - group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use EC_GROUP_new_curve_GFp - * so that the library gets to choose the EC_METHOD */ - if (!group) ABORT; - - if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; - - { - EC_GROUP *tmp; - tmp = EC_GROUP_new(EC_GROUP_method_of(group)); - if (!tmp) ABORT; - if (!EC_GROUP_copy(tmp, group)) ABORT; - EC_GROUP_free(group); - group = tmp; - } - - if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) ABORT; - - fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); - BN_print_fp(stdout, p); - fprintf(stdout, ")\n a = 0x"); - BN_print_fp(stdout, a); - fprintf(stdout, "\n b = 0x"); - BN_print_fp(stdout, b); - fprintf(stdout, "\n"); - - P = EC_POINT_new(group); - Q = EC_POINT_new(group); - R = EC_POINT_new(group); - if (!P || !Q || !R) ABORT; - - if (!EC_POINT_set_to_infinity(group, P)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - - buf[0] = 0; - if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; - - if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - - x = BN_new(); - y = BN_new(); - z = BN_new(); - if (!x || !y || !z) ABORT; - - if (!BN_hex2bn(&x, "D")) ABORT; - if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, Q, ctx)) - { - if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) ABORT; - fprintf(stderr, "Point is not on curve: x = 0x"); - BN_print_fp(stderr, x); - fprintf(stderr, ", y = 0x"); - BN_print_fp(stderr, y); - fprintf(stderr, "\n"); - ABORT; - } - - fprintf(stdout, "A cyclic subgroup:\n"); - k = 100; - do - { - if (k-- == 0) ABORT; - - if (EC_POINT_is_at_infinity(group, P)) - fprintf(stdout, " point at infinity\n"); - else - { - if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - - fprintf(stdout, " x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, ", y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - } - - if (!EC_POINT_copy(R, P)) ABORT; - if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; - -#if 0 /* optional */ - { - EC_POINT *points[3]; - - points[0] = R; - points[1] = Q; - points[2] = P; - if (!EC_POINTs_make_affine(group, 2, points, ctx)) ABORT; - } -#endif - - } - while (!EC_POINT_is_at_infinity(group, P)); - - if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - - len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); - if (len == 0) ABORT; - if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; - fprintf(stdout, "Generator as octect string, compressed form:\n "); - for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); - - len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); - if (len == 0) ABORT; - if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; - fprintf(stdout, "\nGenerator as octect string, uncompressed form:\n "); - for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); - - len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); - if (len == 0) ABORT; - if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; - fprintf(stdout, "\nGenerator as octect string, hybrid form:\n "); - for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); - - if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) ABORT; - fprintf(stdout, "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, ", Y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, ", Z = 0x"); - BN_print_fp(stdout, z); - fprintf(stdout, "\n"); - - if (!EC_POINT_invert(group, P, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; - - - /* Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, 2000) - * -- not a NIST curve, but commonly used */ - - if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) ABORT; - if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; - if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) ABORT; - if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) ABORT; - if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; - - if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) ABORT; - if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; - if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; - if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) ABORT; - if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; - - if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, "\n y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - /* G_y value taken from the standard: */ - if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) ABORT; - if (0 != BN_cmp(y, z)) ABORT; - - fprintf(stdout, "verify degree ..."); - if (EC_GROUP_get_degree(group) != 160) ABORT; - fprintf(stdout, " ok\n"); - - fprintf(stdout, "verify group order ..."); - fflush(stdout); - if (!EC_GROUP_get_order(group, z, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, "."); - fflush(stdout); - if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, " ok\n"); - - if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; - if (!EC_GROUP_copy(P_160, group)) ABORT; - - - /* Curve P-192 (FIPS PUB 186-2, App. 6) */ - - if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; - if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; - if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) ABORT; - if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) ABORT; - if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; - - if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) ABORT; - if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; - if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) ABORT; - if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; - - if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, "\n y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - /* G_y value taken from the standard: */ - if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) ABORT; - if (0 != BN_cmp(y, z)) ABORT; - - fprintf(stdout, "verify degree ..."); - if (EC_GROUP_get_degree(group) != 192) ABORT; - fprintf(stdout, " ok\n"); - - fprintf(stdout, "verify group order ..."); - fflush(stdout); - if (!EC_GROUP_get_order(group, z, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, "."); - fflush(stdout); - if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, " ok\n"); - - if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; - if (!EC_GROUP_copy(P_192, group)) ABORT; - - - /* Curve P-224 (FIPS PUB 186-2, App. 6) */ - - if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) ABORT; - if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; - if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) ABORT; - if (!BN_hex2bn(&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) ABORT; - if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; - - if (!BN_hex2bn(&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) ABORT; - if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; - if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) ABORT; - if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; - - if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, "\n y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - /* G_y value taken from the standard: */ - if (!BN_hex2bn(&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) ABORT; - if (0 != BN_cmp(y, z)) ABORT; - - fprintf(stdout, "verify degree ..."); - if (EC_GROUP_get_degree(group) != 224) ABORT; - fprintf(stdout, " ok\n"); - - fprintf(stdout, "verify group order ..."); - fflush(stdout); - if (!EC_GROUP_get_order(group, z, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, "."); - fflush(stdout); - if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, " ok\n"); - - if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; - if (!EC_GROUP_copy(P_224, group)) ABORT; - - - /* Curve P-256 (FIPS PUB 186-2, App. 6) */ - - if (!BN_hex2bn(&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; - if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; - if (!BN_hex2bn(&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; - if (!BN_hex2bn(&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; - if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; - - if (!BN_hex2bn(&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; - if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; - if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" - "84F3B9CAC2FC632551")) ABORT; - if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; - - if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, "\n y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - /* G_y value taken from the standard: */ - if (!BN_hex2bn(&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; - if (0 != BN_cmp(y, z)) ABORT; - - fprintf(stdout, "verify degree ..."); - if (EC_GROUP_get_degree(group) != 256) ABORT; - fprintf(stdout, " ok\n"); - - fprintf(stdout, "verify group order ..."); - fflush(stdout); - if (!EC_GROUP_get_order(group, z, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, "."); - fflush(stdout); - if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, " ok\n"); - - if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; - if (!EC_GROUP_copy(P_256, group)) ABORT; - - - /* Curve P-384 (FIPS PUB 186-2, App. 6) */ - - if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT; - if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; - if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT; - if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" - "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT; - if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; - - if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" - "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT; - if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; - if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT; - if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; - - if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, "\n y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - /* G_y value taken from the standard: */ - if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" - "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT; - if (0 != BN_cmp(y, z)) ABORT; - - fprintf(stdout, "verify degree ..."); - if (EC_GROUP_get_degree(group) != 384) ABORT; - fprintf(stdout, " ok\n"); - - fprintf(stdout, "verify group order ..."); - fflush(stdout); - if (!EC_GROUP_get_order(group, z, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, "."); - fflush(stdout); - if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, " ok\n"); - - if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; - if (!EC_GROUP_copy(P_384, group)) ABORT; - - - /* Curve P-521 (FIPS PUB 186-2, App. 6) */ - - if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; - if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; - if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; - if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" - "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" - "DF883D2C34F1EF451FD46B503F00")) ABORT; - if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; - - if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" - "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" - "3C1856A429BF97E7E31C2E5BD66")) ABORT; - if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; - if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" - "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" - "C9B8899C47AEBB6FB71E91386409")) ABORT; - if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; - - if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; - fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, "\n y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - /* G_y value taken from the standard: */ - if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" - "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" - "7086A272C24088BE94769FD16650")) ABORT; - if (0 != BN_cmp(y, z)) ABORT; - - fprintf(stdout, "verify degree ..."); - if (EC_GROUP_get_degree(group) != 521) ABORT; - fprintf(stdout, " ok\n"); - - fprintf(stdout, "verify group order ..."); - fflush(stdout); - if (!EC_GROUP_get_order(group, z, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, "."); - fflush(stdout); - if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; - fprintf(stdout, " ok\n"); - - if (!(P_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 (!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"); \ - fprintf(stdout, "verify group order ..."); \ - fflush(stdout); \ - if (!EC_GROUP_get_order(group, z, ctx)) ABORT; \ - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ - fprintf(stdout, "."); \ - fflush(stdout); \ - if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; \ - if (!EC_POINT_mul(group, Q, z, NULL, NULL, ctx)) ABORT; \ - if (!EC_POINT_is_at_infinity(group, Q)) ABORT; \ - fprintf(stdout, " ok\n"); \ - if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ - if (!EC_GROUP_copy(_variable, group)) ABORT; - -void char2_field_tests() - { - BN_CTX *ctx = NULL; - BIGNUM *p, *a, *b; - EC_GROUP *group; - EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = NULL, *C2_K571 = NULL; - EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = NULL, *C2_B571 = NULL; - EC_POINT *P, *Q, *R; - BIGNUM *x, *y, *z, *cof; - unsigned char buf[100]; - size_t i, len; - int k; - -#if 1 /* optional */ - ctx = BN_CTX_new(); - if (!ctx) ABORT; -#endif - - p = BN_new(); - a = BN_new(); - b = BN_new(); - if (!p || !a || !b) ABORT; - - if (!BN_hex2bn(&p, "13")) ABORT; - if (!BN_hex2bn(&a, "3")) ABORT; - if (!BN_hex2bn(&b, "1")) ABORT; - - group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use EC_GROUP_new_curve_GF2m - * so that the library gets to choose the EC_METHOD */ - if (!group) ABORT; - if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; - - { - EC_GROUP *tmp; - tmp = EC_GROUP_new(EC_GROUP_method_of(group)); - if (!tmp) ABORT; - if (!EC_GROUP_copy(tmp, group)) ABORT; - EC_GROUP_free(group); - group = tmp; - } - - if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) ABORT; - - fprintf(stdout, "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); - BN_print_fp(stdout, p); - fprintf(stdout, ")\n a = 0x"); - BN_print_fp(stdout, a); - fprintf(stdout, "\n b = 0x"); - BN_print_fp(stdout, b); - fprintf(stdout, "\n(0x... means binary polynomial)\n"); - - P = EC_POINT_new(group); - Q = EC_POINT_new(group); - R = EC_POINT_new(group); - if (!P || !Q || !R) ABORT; - - if (!EC_POINT_set_to_infinity(group, P)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - - buf[0] = 0; - if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) ABORT; - - if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - - x = BN_new(); - y = BN_new(); - z = BN_new(); - cof = BN_new(); - if (!x || !y || !z || !cof) ABORT; - - if (!BN_hex2bn(&x, "6")) ABORT; -/* Change test based on whether binary point compression is enabled or not. */ -#ifdef OPENSSL_EC_BIN_PT_COMP - if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) ABORT; -#else - if (!BN_hex2bn(&y, "8")) ABORT; - if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; -#endif - if (!EC_POINT_is_on_curve(group, Q, ctx)) - { -/* Change test based on whether binary point compression is enabled or not. */ -#ifdef OPENSSL_EC_BIN_PT_COMP - if (!EC_POINT_get_affine_coordinates_GF2m(group, Q, x, y, ctx)) ABORT; -#endif - fprintf(stderr, "Point is not on curve: x = 0x"); - BN_print_fp(stderr, x); - fprintf(stderr, ", y = 0x"); - BN_print_fp(stderr, y); - fprintf(stderr, "\n"); - ABORT; - } - - fprintf(stdout, "A cyclic subgroup:\n"); - k = 100; - do - { - if (k-- == 0) ABORT; - - if (EC_POINT_is_at_infinity(group, P)) - fprintf(stdout, " point at infinity\n"); - else - { - if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; - - fprintf(stdout, " x = 0x"); - BN_print_fp(stdout, x); - fprintf(stdout, ", y = 0x"); - BN_print_fp(stdout, y); - fprintf(stdout, "\n"); - } - - if (!EC_POINT_copy(R, P)) ABORT; - if (!EC_POINT_add(group, P, P, Q, ctx)) ABORT; - } - while (!EC_POINT_is_at_infinity(group, P)); - - if (!EC_POINT_add(group, P, Q, R, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - -/* Change test based on whether binary point compression is enabled or not. */ -#ifdef OPENSSL_EC_BIN_PT_COMP - len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, sizeof buf, ctx); - if (len == 0) ABORT; - if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; - fprintf(stdout, "Generator as octet string, compressed form:\n "); - for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); -#endif - - len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, sizeof buf, ctx); - if (len == 0) ABORT; - if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; - fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); - for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); - -/* Change test based on whether binary point compression is enabled or not. */ -#ifdef OPENSSL_EC_BIN_PT_COMP - len = EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, ctx); - if (len == 0) ABORT; - if (!EC_POINT_oct2point(group, P, buf, len, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, Q, ctx)) ABORT; - fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); - for (i = 0; i < len; i++) fprintf(stdout, "%02X", buf[i]); -#endif - - fprintf(stdout, "\n"); - - if (!EC_POINT_invert(group, P, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; - - - /* Curve K-163 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve K-163", - "0800000000000000000000000000000000000000C9", - "1", - "1", - "02FE13C0537BBC11ACAA07D793DE4E6D5E5C94EEE8", - "0289070FB05D38FF58321F2E800536D538CCDAA3D9", - 1, - "04000000000000000000020108A2E0CC0D99F8A5EF", - "2", - 163, - C2_K163 - ); - - /* Curve B-163 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve B-163", - "0800000000000000000000000000000000000000C9", - "1", - "020A601907B8C953CA1481EB10512F78744A3205FD", - "03F0EBA16286A2D57EA0991168D4994637E8343E36", - "00D51FBC6C71A0094FA2CDD545B11C5C0C797324F1", - 1, - "040000000000000000000292FE77E70C12A4234C33", - "2", - 163, - C2_B163 - ); - - /* Curve K-233 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve K-233", - "020000000000000000000000000000000000000004000000000000000001", - "0", - "1", - "017232BA853A7E731AF129F22FF4149563A419C26BF50A4C9D6EEFAD6126", - "01DB537DECE819B7F70F555A67C427A8CD9BF18AEB9B56E0C11056FAE6A3", - 0, - "008000000000000000000000000000069D5BB915BCD46EFB1AD5F173ABDF", - "4", - 233, - C2_K233 - ); - - /* Curve B-233 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve B-233", - "020000000000000000000000000000000000000004000000000000000001", - "000000000000000000000000000000000000000000000000000000000001", - "0066647EDE6C332C7F8C0923BB58213B333B20E9CE4281FE115F7D8F90AD", - "00FAC9DFCBAC8313BB2139F1BB755FEF65BC391F8B36F8F8EB7371FD558B", - "01006A08A41903350678E58528BEBF8A0BEFF867A7CA36716F7E01F81052", - 1, - "01000000000000000000000000000013E974E72F8A6922031D2603CFE0D7", - "2", - 233, - C2_B233 - ); - - /* Curve K-283 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve K-283", - "0800000000000000000000000000000000000000000000000000000000000000000010A1", - "0", - "1", - "0503213F78CA44883F1A3B8162F188E553CD265F23C1567A16876913B0C2AC2458492836", - "01CCDA380F1C9E318D90F95D07E5426FE87E45C0E8184698E45962364E34116177DD2259", - 0, - "01FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE9AE2ED07577265DFF7F94451E061E163C61", - "4", - 283, - C2_K283 - ); - - /* Curve B-283 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve B-283", - "0800000000000000000000000000000000000000000000000000000000000000000010A1", - "000000000000000000000000000000000000000000000000000000000000000000000001", - "027B680AC8B8596DA5A4AF8A19A0303FCA97FD7645309FA2A581485AF6263E313B79A2F5", - "05F939258DB7DD90E1934F8C70B0DFEC2EED25B8557EAC9C80E2E198F8CDBECD86B12053", - "03676854FE24141CB98FE6D4B20D02B4516FF702350EDDB0826779C813F0DF45BE8112F4", - 1, - "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEF90399660FC938A90165B042A7CEFADB307", - "2", - 283, - C2_B283 - ); - - /* Curve K-409 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve K-409", - "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", - "0", - "1", - "0060F05F658F49C1AD3AB1890F7184210EFD0987E307C84C27ACCFB8F9F67CC2C460189EB5AAAA62EE222EB1B35540CFE9023746", - "01E369050B7C4E42ACBA1DACBF04299C3460782F918EA427E6325165E9EA10E3DA5F6C42E9C55215AA9CA27A5863EC48D8E0286B", - 1, - "007FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE5F83B2D4EA20400EC4557D5ED3E3E7CA5B4B5C83B8E01E5FCF", - "4", - 409, - C2_K409 - ); - - /* Curve B-409 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve B-409", - "02000000000000000000000000000000000000000000000000000000000000000000000000000000008000000000000000000001", - "00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", - "0021A5C2C8EE9FEB5C4B9A753B7B476B7FD6422EF1F3DD674761FA99D6AC27C8A9A197B272822F6CD57A55AA4F50AE317B13545F", - "015D4860D088DDB3496B0C6064756260441CDE4AF1771D4DB01FFE5B34E59703DC255A868A1180515603AEAB60794E54BB7996A7", - "0061B1CFAB6BE5F32BBFA78324ED106A7636B9C5A7BD198D0158AA4F5488D08F38514F1FDF4B4F40D2181B3681C364BA0273C706", - 1, - "010000000000000000000000000000000000000000000000000001E2AAD6A612F33307BE5FA47C3C9E052F838164CD37D9A21173", - "2", - 409, - C2_B409 - ); - - /* Curve K-571 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve K-571", - "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", - "0", - "1", - "026EB7A859923FBC82189631F8103FE4AC9CA2970012D5D46024804801841CA44370958493B205E647DA304DB4CEB08CBBD1BA39494776FB988B47174DCA88C7E2945283A01C8972", - "0349DC807F4FBF374F4AEADE3BCA95314DD58CEC9F307A54FFC61EFC006D8A2C9D4979C0AC44AEA74FBEBBB9F772AEDCB620B01A7BA7AF1B320430C8591984F601CD4C143EF1C7A3", - 0, - "020000000000000000000000000000000000000000000000000000000000000000000000131850E1F19A63E4B391A8DB917F4138B630D84BE5D639381E91DEB45CFE778F637C1001", - "4", - 571, - C2_K571 - ); - - /* Curve B-571 (FIPS PUB 186-2, App. 6) */ - CHAR2_CURVE_TEST - ( - "NIST curve B-571", - "80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000425", - "000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001", - "02F40E7E2221F295DE297117B7F3D62F5C6A97FFCB8CEFF1CD6BA8CE4A9A18AD84FFABBD8EFA59332BE7AD6756A66E294AFD185A78FF12AA520E4DE739BACA0C7FFEFF7F2955727A", - "0303001D34B856296C16C0D40D3CD7750A93D1D2955FA80AA5F40FC8DB7B2ABDBDE53950F4C0D293CDD711A35B67FB1499AE60038614F1394ABFA3B4C850D927E1E7769C8EEC2D19", - "037BF27342DA639B6DCCFFFEB73D69D78C6C27A6009CBBCA1980F8533921E8A684423E43BAB08A576291AF8F461BB2A8B3531D2F0485C19B16E2F1516E23DD3C1A4827AF1B8AC15B", - 1, - "03FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFE661CE18FF55987308059B186823851EC7DD9CA1161DE93D5174D66E8382E9BB2FE84E47", - "2", - 571, - C2_B571 - ); - - /* more tests using the last curve */ - - if (!EC_POINT_copy(Q, P)) ABORT; - if (EC_POINT_is_at_infinity(group, Q)) ABORT; - if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; - if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; - if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ - - if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; - if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ - - { - const EC_POINT *points[3]; - const BIGNUM *scalars[3]; - - if (EC_POINT_is_at_infinity(group, Q)) ABORT; - points[0] = Q; - points[1] = Q; - points[2] = Q; - - if (!BN_add(y, z, BN_value_one())) ABORT; - if (BN_is_odd(y)) ABORT; - if (!BN_rshift1(y, y)) ABORT; - scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ - scalars[1] = y; - - fprintf(stdout, "combined multiplication ..."); - fflush(stdout); - - /* z is still the group order */ - if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; - if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; - if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; - - fprintf(stdout, "."); - fflush(stdout); - - if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; - if (!BN_add(z, z, y)) ABORT; - BN_set_negative(z, 1); - scalars[0] = y; - scalars[1] = z; /* z = -(order + y) */ - - if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - - fprintf(stdout, "."); - fflush(stdout); - - if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; - if (!BN_add(z, x, y)) ABORT; - BN_set_negative(z, 1); - scalars[0] = x; - scalars[1] = y; - scalars[2] = z; /* z = -(x+y) */ - - if (!EC_POINTs_mul(group, P, NULL, 3, points, scalars, ctx)) ABORT; - if (!EC_POINT_is_at_infinity(group, P)) ABORT; - - fprintf(stdout, " ok\n\n"); - } - - -#if 0 - timings(C2_K163, TIMING_BASE_PT, ctx); - timings(C2_K163, TIMING_RAND_PT, ctx); - timings(C2_K163, TIMING_SIMUL, ctx); - timings(C2_B163, TIMING_BASE_PT, ctx); - timings(C2_B163, TIMING_RAND_PT, ctx); - timings(C2_B163, TIMING_SIMUL, ctx); - timings(C2_K233, TIMING_BASE_PT, ctx); - timings(C2_K233, TIMING_RAND_PT, ctx); - timings(C2_K233, TIMING_SIMUL, ctx); - timings(C2_B233, TIMING_BASE_PT, ctx); - timings(C2_B233, TIMING_RAND_PT, ctx); - timings(C2_B233, TIMING_SIMUL, ctx); - timings(C2_K283, TIMING_BASE_PT, ctx); - timings(C2_K283, TIMING_RAND_PT, ctx); - timings(C2_K283, TIMING_SIMUL, ctx); - timings(C2_B283, TIMING_BASE_PT, ctx); - timings(C2_B283, TIMING_RAND_PT, ctx); - timings(C2_B283, TIMING_SIMUL, ctx); - timings(C2_K409, TIMING_BASE_PT, ctx); - timings(C2_K409, TIMING_RAND_PT, ctx); - timings(C2_K409, TIMING_SIMUL, ctx); - timings(C2_B409, TIMING_BASE_PT, ctx); - timings(C2_B409, TIMING_RAND_PT, ctx); - timings(C2_B409, TIMING_SIMUL, ctx); - timings(C2_K571, TIMING_BASE_PT, ctx); - timings(C2_K571, TIMING_RAND_PT, ctx); - timings(C2_K571, TIMING_SIMUL, ctx); - timings(C2_B571, TIMING_BASE_PT, ctx); - timings(C2_B571, TIMING_RAND_PT, ctx); - timings(C2_B571, TIMING_SIMUL, ctx); -#endif - - - if (ctx) - BN_CTX_free(ctx); - BN_free(p); BN_free(a); BN_free(b); - EC_GROUP_free(group); - EC_POINT_free(P); - EC_POINT_free(Q); - EC_POINT_free(R); - BN_free(x); BN_free(y); BN_free(z); BN_free(cof); - - if (C2_K163) EC_GROUP_free(C2_K163); - if (C2_B163) EC_GROUP_free(C2_B163); - if (C2_K233) EC_GROUP_free(C2_K233); - if (C2_B233) EC_GROUP_free(C2_B233); - if (C2_K283) EC_GROUP_free(C2_K283); - if (C2_B283) EC_GROUP_free(C2_B283); - if (C2_K409) EC_GROUP_free(C2_K409); - if (C2_B409) EC_GROUP_free(C2_B409); - if (C2_K571) EC_GROUP_free(C2_K571); - if (C2_B571) EC_GROUP_free(C2_B571); - - } - -void 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"); - else - fprintf(stdout, " failed\n"); - OPENSSL_free(curves); - return; - } - -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(""); - char2_field_tests(); - /* 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 |