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File ectest.c of Package mingw64-openssl
/* crypto/ec/ectest.c */ /* * Originally written by Bodo Moeller for the OpenSSL project. */ /* ==================================================================== * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * * 3. All advertising materials mentioning features or use of this * software must display the following acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" * * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to * endorse or promote products derived from this software without * prior written permission. For written permission, please contact * openssl-core@openssl.org. * * 5. Products derived from this software may not be called "OpenSSL" * nor may "OpenSSL" appear in their names without prior written * permission of the OpenSSL Project. * * 6. Redistributions of any form whatsoever must retain the following * acknowledgment: * "This product includes software developed by the OpenSSL Project * for use in the OpenSSL Toolkit (http://www.openssl.org/)" * * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * ==================================================================== * * This product includes cryptographic software written by Eric Young * (eay@cryptsoft.com). This product includes software written by Tim * Hudson (tjh@cryptsoft.com). * */ /* ==================================================================== * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. * * Portions of the attached software ("Contribution") are developed by * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. * * The Contribution is licensed pursuant to the OpenSSL open source * license provided above. * * The elliptic curve binary polynomial software is originally written by * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. * */ #include <stdio.h> #include <stdlib.h> #ifdef FLAT_INC # include "e_os.h" #else # include "../e_os.h" #endif #include <string.h> #include <time.h> #ifdef OPENSSL_NO_EC int main(int argc, char *argv[]) { puts("Elliptic curves are disabled."); return 0; } #else # include <openssl/ec.h> # ifndef OPENSSL_NO_ENGINE # include <openssl/engine.h> # endif # include <openssl/err.h> # include <openssl/obj_mac.h> # include <openssl/objects.h> # include <openssl/rand.h> # include <openssl/bn.h> # include <openssl/opensslconf.h> # if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) /* suppress "too big too optimize" warning */ # pragma warning(disable:4959) # endif # define ABORT do { \ fflush(stdout); \ fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ ERR_print_errors_fp(stderr); \ EXIT(1); \ } while (0) # define TIMING_BASE_PT 0 # define TIMING_RAND_PT 1 # define TIMING_SIMUL 2 # 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 /* test multiplication with group order, long and negative scalars */ static void group_order_tests(EC_GROUP *group) { BIGNUM *n1, *n2, *order; EC_POINT *P = EC_POINT_new(group); EC_POINT *Q = EC_POINT_new(group); BN_CTX *ctx = BN_CTX_new(); int i; n1 = BN_new(); n2 = BN_new(); order = BN_new(); fprintf(stdout, "verify group order ..."); fflush(stdout); if (!EC_GROUP_get_order(group, order, ctx)) ABORT; if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; if (!EC_POINT_is_at_infinity(group, Q)) ABORT; fprintf(stdout, "."); fflush(stdout); if (!EC_GROUP_precompute_mult(group, ctx)) ABORT; if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) ABORT; if (!EC_POINT_is_at_infinity(group, Q)) ABORT; fprintf(stdout, " ok\n"); fprintf(stdout, "long/negative scalar tests "); for (i = 1; i <= 2; i++) { const BIGNUM *scalars[6]; const EC_POINT *points[6]; fprintf(stdout, i == 1 ? "allowing precomputation ... " : "without precomputation ... "); if (!BN_set_word(n1, i)) ABORT; /* * If i == 1, P will be the predefined generator for which * EC_GROUP_precompute_mult has set up precomputation. */ if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) ABORT; if (!BN_one(n1)) ABORT; /* n1 = 1 - order */ if (!BN_sub(n1, n1, order)) ABORT; if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) ABORT; if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; /* n2 = 1 + order */ if (!BN_add(n2, order, BN_value_one())) ABORT; if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ if (!BN_mul(n2, n1, n2, ctx)) ABORT; if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; if (0 != EC_POINT_cmp(group, Q, P, ctx)) ABORT; /* n2 = order^2 - 1 */ BN_set_negative(n2, 0); if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) ABORT; /* Add P to verify the result. */ if (!EC_POINT_add(group, Q, Q, P, ctx)) ABORT; if (!EC_POINT_is_at_infinity(group, Q)) ABORT; /* Exercise EC_POINTs_mul, including corner cases. */ if (EC_POINT_is_at_infinity(group, P)) ABORT; scalars[0] = n1; points[0] = Q; /* => infinity */ scalars[1] = n2; points[1] = P; /* => -P */ scalars[2] = n1; points[2] = Q; /* => infinity */ scalars[3] = n2; points[3] = Q; /* => infinity */ scalars[4] = n1; points[4] = P; /* => P */ scalars[5] = n2; points[5] = Q; /* => infinity */ if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) ABORT; if (!EC_POINT_is_at_infinity(group, P)) ABORT; } fprintf(stdout, "ok\n"); EC_POINT_free(P); EC_POINT_free(Q); BN_free(n1); BN_free(n2); BN_free(order); BN_CTX_free(ctx); } static void prime_field_tests(void) { BN_CTX *ctx = NULL; BIGNUM *p, *a, *b; EC_GROUP *group; EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = NULL, *P_384 = NULL, *P_521 = NULL; EC_POINT *P, *Q, *R; BIGNUM *x, *y, *z; unsigned char buf[100]; size_t i, len; int k; # 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; 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; P = EC_POINT_new(group); Q = EC_POINT_new(group); R = EC_POINT_new(group); if (!P || !Q || !R) ABORT; x = BN_new(); y = BN_new(); z = BN_new(); if (!x || !y || !z) ABORT; /* Curve P-256 (FIPS PUB 186-2, App. 6) */ if (!BN_hex2bn (&p, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; if (!BN_hex2bn (&a, "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; if (!BN_hex2bn (&b, "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) ABORT; if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; if (!BN_hex2bn (&x, "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) ABORT; if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" "84F3B9CAC2FC632551")) ABORT; if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); BN_print_fp(stdout, x); fprintf(stdout, "\n y = 0x"); BN_print_fp(stdout, y); fprintf(stdout, "\n"); /* G_y value taken from the standard: */ if (!BN_hex2bn (&z, "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) ABORT; if (0 != BN_cmp(y, z)) ABORT; fprintf(stdout, "verify degree ..."); if (EC_GROUP_get_degree(group) != 256) ABORT; fprintf(stdout, " ok\n"); group_order_tests(group); if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; if (!EC_GROUP_copy(P_256, group)) ABORT; /* Curve P-384 (FIPS PUB 186-2, App. 6) */ if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) ABORT; if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) ABORT; if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) ABORT; if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) ABORT; if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) ABORT; if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) ABORT; if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); BN_print_fp(stdout, x); fprintf(stdout, "\n y = 0x"); BN_print_fp(stdout, y); fprintf(stdout, "\n"); /* G_y value taken from the standard: */ if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) ABORT; if (0 != BN_cmp(y, z)) ABORT; fprintf(stdout, "verify degree ..."); if (EC_GROUP_get_degree(group) != 384) ABORT; fprintf(stdout, " ok\n"); group_order_tests(group); if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; if (!EC_GROUP_copy(P_384, group)) ABORT; /* Curve P-521 (FIPS PUB 186-2, App. 6) */ if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) ABORT; if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) ABORT; if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" "DF883D2C34F1EF451FD46B503F00")) ABORT; if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) ABORT; if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" "3C1856A429BF97E7E31C2E5BD66")) ABORT; if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) ABORT; if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" "C9B8899C47AEBB6FB71E91386409")) ABORT; if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) ABORT; if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) ABORT; fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); BN_print_fp(stdout, x); fprintf(stdout, "\n y = 0x"); BN_print_fp(stdout, y); fprintf(stdout, "\n"); /* G_y value taken from the standard: */ if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" "7086A272C24088BE94769FD16650")) ABORT; if (0 != BN_cmp(y, z)) ABORT; fprintf(stdout, "verify degree ..."); if (EC_GROUP_get_degree(group) != 521) ABORT; fprintf(stdout, " ok\n"); group_order_tests(group); if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; if (!EC_GROUP_copy(P_521, group)) ABORT; /* more tests using the last curve */ if (!EC_POINT_copy(Q, P)) ABORT; if (EC_POINT_is_at_infinity(group, Q)) ABORT; if (!EC_POINT_dbl(group, P, P, ctx)) ABORT; if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; if (!EC_POINT_invert(group, Q, ctx)) ABORT; /* P = -2Q */ if (!EC_POINT_add(group, R, P, Q, ctx)) ABORT; if (!EC_POINT_add(group, R, R, Q, ctx)) ABORT; if (!EC_POINT_is_at_infinity(group, R)) ABORT; /* R = P + 2Q */ { const EC_POINT *points[4]; const BIGNUM *scalars[4]; BIGNUM scalar3; if (EC_POINT_is_at_infinity(group, Q)) ABORT; points[0] = Q; points[1] = Q; points[2] = Q; points[3] = Q; if (!EC_GROUP_get_order(group, z, ctx)) ABORT; if (!BN_add(y, z, BN_value_one())) ABORT; if (BN_is_odd(y)) ABORT; if (!BN_rshift1(y, y)) ABORT; scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ scalars[1] = y; fprintf(stdout, "combined multiplication ..."); fflush(stdout); /* z is still the group order */ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) ABORT; if (0 != EC_POINT_cmp(group, P, R, ctx)) ABORT; if (0 != EC_POINT_cmp(group, R, Q, ctx)) ABORT; fprintf(stdout, "."); fflush(stdout); if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) ABORT; if (!BN_add(z, z, y)) ABORT; BN_set_negative(z, 1); scalars[0] = y; scalars[1] = z; /* z = -(order + y) */ if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) ABORT; if (!EC_POINT_is_at_infinity(group, P)) ABORT; fprintf(stdout, "."); fflush(stdout); if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) ABORT; if (!BN_add(z, x, y)) ABORT; BN_set_negative(z, 1); scalars[0] = x; scalars[1] = y; scalars[2] = z; /* z = -(x+y) */ BN_init(&scalar3); BN_zero(&scalar3); scalars[3] = &scalar3; if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) ABORT; if (!EC_POINT_is_at_infinity(group, P)) ABORT; fprintf(stdout, " ok\n\n"); BN_free(&scalar3); } # if 0 timings(P_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); } static void internal_curve_test(void) { EC_builtin_curve *curves = NULL; size_t crv_len = 0, n = 0; int ok = 1; crv_len = EC_get_builtin_curves(NULL, 0); curves = OPENSSL_malloc(sizeof(EC_builtin_curve) * crv_len); if (curves == NULL) return; if (!EC_get_builtin_curves(curves, crv_len)) { OPENSSL_free(curves); return; } fprintf(stdout, "testing internal curves: "); for (n = 0; n < crv_len; n++) { EC_GROUP *group = NULL; int nid = curves[n].nid; if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) { ok = 0; fprintf(stdout, "\nEC_GROUP_new_curve_name() failed with" " curve %s\n", OBJ_nid2sn(nid)); /* try next curve */ continue; } if (!EC_GROUP_check(group, NULL)) { ok = 0; fprintf(stdout, "\nEC_GROUP_check() failed with" " curve %s\n", OBJ_nid2sn(nid)); EC_GROUP_free(group); /* try the next curve */ continue; } fprintf(stdout, "."); fflush(stdout); EC_GROUP_free(group); } if (ok) fprintf(stdout, " ok\n\n"); else { fprintf(stdout, " failed\n\n"); ABORT; } OPENSSL_free(curves); return; } # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 /* * nistp_test_params contains magic numbers for testing our optimized * implementations of several NIST curves with characteristic > 3. */ struct nistp_test_params { const EC_METHOD *(*meth) (); int degree; /* * Qx, Qy and D are taken from * http://csrcdocut.gov/groups/ST/toolkit/documents/Examples/ECDSA_Prime.pdf * Otherwise, values are standard curve parameters from FIPS 180-3 */ const char *p, *a, *b, *Qx, *Qy, *Gx, *Gy, *order, *d; }; static const struct nistp_test_params nistp_tests_params[] = { { /* P-256 */ EC_GFp_nistp256_method, 256, /* p */ "ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* a */ "ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* b */ "5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* Qx */ "b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qy */ "3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Gx */ "6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gy */ "4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* order */ "ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* d */ "c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", }, { /* P-521 */ EC_GFp_nistp521_method, 521, /* p */ "1ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", /* a */ "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffc", /* b */ "051953eb9618e1c9a1f929a21a0b68540eea2da725b99b315f3b8b489918ef109e156193951ec7e937b1652c0bd3bb1bf073573df883d2c34f1ef451fd46b503f00", /* Qx */ "0098e91eef9a68452822309c52fab453f5f117c1da8ed796b255e9ab8f6410cca16e59df403a6bdc6ca467a37056b1e54b3005d8ac030decfeb68df18b171885d5c4", /* Qy */ "0164350c321aecfc1cca1ba4364c9b15656150b4b78d6a48d7d28e7f31985ef17be8554376b72900712c4b83ad668327231526e313f5f092999a4632fd50d946bc2e", /* Gx */ "c6858e06b70404e9cd9e3ecb662395b4429c648139053fb521f828af606b4d3dbaa14b5e77efe75928fe1dc127a2ffa8de3348b3c1856a429bf97e7e31c2e5bd66", /* Gy */ "11839296a789a3bc0045c8a5fb42c7d1bd998f54449579b446817afbd17273e662c97ee72995ef42640c550b9013fad0761353c7086a272c24088be94769fd16650", /* order */ "1fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa51868783bf2f966b7fcc0148f709a5d03bb5c9b8899c47aebb6fb71e91386409", /* d */ "0100085f47b8e1b8b11b7eb33028c0b2888e304bfc98501955b45bba1478dc184eeedf09b86a5f7c21994406072787205e69a63709fe35aa93ba333514b24f961722", }, }; static void nistp_single_test(const struct nistp_test_params *test) { BN_CTX *ctx; BIGNUM *p, *a, *b, *x, *y, *n, *m, *order; EC_GROUP *NISTP; EC_POINT *G, *P, *Q, *Q_CHECK; fprintf(stdout, "\nNIST curve P-%d (optimised implementation):\n", test->degree); ctx = BN_CTX_new(); p = BN_new(); a = BN_new(); b = BN_new(); x = BN_new(); y = BN_new(); m = BN_new(); n = BN_new(); order = BN_new(); NISTP = EC_GROUP_new(test->meth()); if (!NISTP) ABORT; if (!BN_hex2bn(&p, test->p)) ABORT; if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) ABORT; if (!BN_hex2bn(&a, test->a)) ABORT; if (!BN_hex2bn(&b, test->b)) ABORT; if (!EC_GROUP_set_curve_GFp(NISTP, p, a, b, ctx)) ABORT; G = EC_POINT_new(NISTP); P = EC_POINT_new(NISTP); Q = EC_POINT_new(NISTP); Q_CHECK = EC_POINT_new(NISTP); if (!BN_hex2bn(&x, test->Qx)) ABORT; if (!BN_hex2bn(&y, test->Qy)) ABORT; if (!EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, y, ctx)) ABORT; if (!BN_hex2bn(&x, test->Gx)) ABORT; if (!BN_hex2bn(&y, test->Gy)) ABORT; if (!EC_POINT_set_affine_coordinates_GFp(NISTP, G, x, y, ctx)) ABORT; if (!BN_hex2bn(&order, test->order)) ABORT; if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; fprintf(stdout, "verify degree ... "); if (EC_GROUP_get_degree(NISTP) != test->degree) ABORT; fprintf(stdout, "ok\n"); fprintf(stdout, "NIST test vectors ... "); if (!BN_hex2bn(&n, test->d)) ABORT; /* fixed point multiplication */ EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; /* random point multiplication */ EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; /* set generator to P = 2*G, where G is the standard generator */ if (!EC_POINT_dbl(NISTP, P, G, ctx)) ABORT; if (!EC_GROUP_set_generator(NISTP, P, order, BN_value_one())) ABORT; /* set the scalar to m=n/2, where n is the NIST test scalar */ if (!BN_rshift(m, n, 1)) ABORT; /* test the non-standard generator */ /* fixed point multiplication */ EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; /* random point multiplication */ EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; /* now repeat all tests with precomputation */ if (!EC_GROUP_precompute_mult(NISTP, ctx)) ABORT; /* fixed point multiplication */ EC_POINT_mul(NISTP, Q, m, NULL, NULL, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; /* random point multiplication */ EC_POINT_mul(NISTP, Q, NULL, P, m, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; /* reset generator */ if (!EC_GROUP_set_generator(NISTP, G, order, BN_value_one())) ABORT; /* fixed point multiplication */ EC_POINT_mul(NISTP, Q, n, NULL, NULL, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; /* random point multiplication */ EC_POINT_mul(NISTP, Q, NULL, G, n, ctx); if (0 != EC_POINT_cmp(NISTP, Q, Q_CHECK, ctx)) ABORT; fprintf(stdout, "ok\n"); group_order_tests(NISTP); # if 0 timings(NISTP, TIMING_BASE_PT, ctx); timings(NISTP, TIMING_RAND_PT, ctx); # endif EC_GROUP_free(NISTP); EC_POINT_free(G); EC_POINT_free(P); EC_POINT_free(Q); EC_POINT_free(Q_CHECK); BN_free(n); BN_free(m); BN_free(p); BN_free(a); BN_free(b); BN_free(x); BN_free(y); BN_free(order); BN_CTX_free(ctx); } static void nistp_tests() { unsigned i; for (i = 0; i < sizeof(nistp_tests_params) / sizeof(struct nistp_test_params); i++) { nistp_single_test(&nistp_tests_params[i]); } } # endif static const char rnd_seed[] = "string to make the random number generator think it has entropy"; int main(int argc, char *argv[]) { /* enable memory leak checking unless explicitly disabled */ if (!((getenv("OPENSSL_DEBUG_MEMORY") != NULL) && (0 == strcmp(getenv("OPENSSL_DEBUG_MEMORY"), "off")))) { CRYPTO_malloc_debug_init(); CRYPTO_set_mem_debug_options(V_CRYPTO_MDEBUG_ALL); } else { /* OPENSSL_DEBUG_MEMORY=off */ CRYPTO_set_mem_debug_functions(0, 0, 0, 0, 0); } CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON); ERR_load_crypto_strings(); RAND_seed(rnd_seed, sizeof rnd_seed); /* or BN_generate_prime may fail */ prime_field_tests(); puts(""); # ifndef OPENSSL_NO_EC2M char2_field_tests(); # endif # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 nistp_tests(); # endif /* test the internal curves */ internal_curve_test(); # ifndef OPENSSL_NO_ENGINE ENGINE_cleanup(); # endif CRYPTO_cleanup_all_ex_data(); ERR_free_strings(); ERR_remove_thread_state(NULL); CRYPTO_mem_leaks_fp(stderr); return 0; } #endif
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