From b64270d1e45fe7f3241e4c9b6ce60d5ac89bc2e9 Mon Sep 17 00:00:00 2001 From: beck <> Date: Wed, 15 May 2002 02:29:21 +0000 Subject: OpenSSL 0.9.7 stable 2002 05 08 merge --- src/lib/libcrypto/ec/ectest.c | 634 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 634 insertions(+) create mode 100644 src/lib/libcrypto/ec/ectest.c (limited to 'src/lib/libcrypto/ec/ectest.c') diff --git a/src/lib/libcrypto/ec/ectest.c b/src/lib/libcrypto/ec/ectest.c new file mode 100644 index 0000000000..243cd83fb5 --- /dev/null +++ b/src/lib/libcrypto/ec/ectest.c @@ -0,0 +1,634 @@ +/* crypto/ec/ectest.c */ +/* ==================================================================== + * 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). + * + */ + +#include +#include +#include +#include + + +#ifdef OPENSSL_NO_EC +int main(int argc, char * argv[]) { puts("Elliptic curves are disabled."); return 0; } +#else + + +#include +#include +#include + +#define ABORT do { \ + fflush(stdout); \ + fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ + ERR_print_errors_fp(stderr); \ + exit(1); \ +} while (0) + + +void timings(EC_GROUP *group, int multi, BN_CTX *ctx) + { + clock_t clck; + int i, j; + BIGNUM *s, *s0; + EC_POINT *P; + + s = BN_new(); + s0 = BN_new(); + if (s == NULL || s0 == NULL) ABORT; + + if (!EC_GROUP_get_curve_GFp(group, s, NULL, NULL, ctx)) ABORT; + fprintf(stdout, "Timings for %d bit prime, ", (int)BN_num_bits(s)); + 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)); + + clck = clock(); + for (i = 0; i < 10; i++) + { + if (!BN_pseudo_rand(s, BN_num_bits(s), 0, 0)) ABORT; + if (multi) + { + if (!BN_pseudo_rand(s0, BN_num_bits(s), 0, 0)) ABORT; + } + for (j = 0; j < 10; j++) + { + if (!EC_POINT_mul(group, P, s, multi ? P : NULL, multi ? s0 : NULL, ctx)) ABORT; + } + fprintf(stdout, "."); + fflush(stdout); + } + fprintf(stdout, "\n"); + + clck = clock() - clck; + +#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 + + fprintf(stdout, "%i %s in %.2f " UNIT "\n", i*j, + multi ? "s*P+t*Q operations" : "point multiplications", + (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); + BN_free(s0); + } + + +int main(int argc, char *argv[]) + { + BN_CTX *ctx = NULL; + BIGNUM *p, *a, *b; + EC_GROUP *group; + EC_GROUP *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; + EC_POINT *P, *Q, *R; + BIGNUM *x, *y, *z; + unsigned char buf[100]; + size_t i, len; + int k; + + /* 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(); + +#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)); + 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 P-192 (FIPS PUB 186-2, App. 6) */ + + if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) ABORT; + if (1 != BN_is_prime(p, BN_prime_checks, 0, 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 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(p, BN_prime_checks, 0, 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 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(p, BN_prime_checks, 0, 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 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(p, BN_prime_checks, 0, 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 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(p, BN_prime_checks, 0, 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 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[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; + z->neg = 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; + z->neg = 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(P_192, 0, ctx); + timings(P_192, 1, ctx); + timings(P_224, 0, ctx); + timings(P_224, 1, ctx); + timings(P_256, 0, ctx); + timings(P_256, 1, ctx); + timings(P_384, 0, ctx); + timings(P_384, 1, ctx); + timings(P_521, 0, ctx); + timings(P_521, 1, ctx); +#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_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); + + ENGINE_cleanup(); + CRYPTO_cleanup_all_ex_data(); + ERR_free_strings(); + ERR_remove_state(0); + CRYPTO_mem_leaks_fp(stderr); + + return 0; + } +#endif -- cgit v1.2.3-55-g6feb