diff options
Diffstat (limited to 'openssl/crypto/ec/ectest.c')
| -rw-r--r-- | openssl/crypto/ec/ectest.c | 1334 |
1 files changed, 1334 insertions, 0 deletions
diff --git a/openssl/crypto/ec/ectest.c b/openssl/crypto/ec/ectest.c new file mode 100644 index 00000000..7509cb9c --- /dev/null +++ b/openssl/crypto/ec/ectest.c @@ -0,0 +1,1334 @@ +/* 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 |