diff options
author | Richard Levitte <levitte@openssl.org> | 2015-03-26 21:33:18 +0100 |
---|---|---|
committer | Richard Levitte <levitte@openssl.org> | 2015-03-31 20:16:01 +0200 |
commit | dee502be89e78e2979e3bd1d7724cf79daa6ef61 (patch) | |
tree | 53e97582c488f1a484bd42e570de6a99768fd1df /test/ectest.c | |
parent | 30cd4ff294252c4b6a4b69cbef6a5b4117705d22 (diff) |
Stop symlinking, move files to intended directory
Rather than making include/openssl/foo.h a symlink to
crypto/foo/foo.h, this change moves the file to include/openssl/foo.h
once and for all.
Likewise, move crypto/foo/footest.c to test/footest.c, instead of
symlinking it there.
Originally-by: Geoff Thorpe <geoff@openssl.org>
Reviewed-by: Rich Salz <rsalz@openssl.org>
Diffstat (limited to 'test/ectest.c')
-rw-r--r-- | test/ectest.c | 1682 |
1 files changed, 1682 insertions, 0 deletions
diff --git a/test/ectest.c b/test/ectest.c new file mode 100644 index 0000000000..79ec21f820 --- /dev/null +++ b/test/ectest.c @@ -0,0 +1,1682 @@ +/* crypto/ec/ectest.c */ +/* + * Originally written by Bodo Moeller for the OpenSSL project. + */ +/* ==================================================================== + * Copyright (c) 1998-2001 The OpenSSL Project. All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in + * the documentation and/or other materials provided with the + * distribution. + * + * 3. All advertising materials mentioning features or use of this + * software must display the following acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" + * + * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to + * endorse or promote products derived from this software without + * prior written permission. For written permission, please contact + * openssl-core@openssl.org. + * + * 5. Products derived from this software may not be called "OpenSSL" + * nor may "OpenSSL" appear in their names without prior written + * permission of the OpenSSL Project. + * + * 6. Redistributions of any form whatsoever must retain the following + * acknowledgment: + * "This product includes software developed by the OpenSSL Project + * for use in the OpenSSL Toolkit (http://www.openssl.org/)" + * + * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY + * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR + * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR + * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, + * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; + * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, + * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) + * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED + * OF THE POSSIBILITY OF SUCH DAMAGE. + * ==================================================================== + * + * This product includes cryptographic software written by Eric Young + * (eay@cryptsoft.com). This product includes software written by Tim + * Hudson (tjh@cryptsoft.com). + * + */ +/* ==================================================================== + * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. + * + * Portions of the attached software ("Contribution") are developed by + * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. + * + * The Contribution is licensed pursuant to the OpenSSL open source + * license provided above. + * + * The elliptic curve binary polynomial software is originally written by + * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. + * + */ + +#include <stdio.h> +#include <stdlib.h> +#ifdef FLAT_INC +# include "e_os.h" +#else +# include "../e_os.h" +#endif +#include <string.h> +#include <time.h> + +#ifdef OPENSSL_NO_EC +int main(int argc, char *argv[]) +{ + puts("Elliptic curves are disabled."); + return 0; +} +#else + +# include <openssl/ec.h> +# ifndef OPENSSL_NO_ENGINE +# include <openssl/engine.h> +# endif +# include <openssl/err.h> +# include <openssl/obj_mac.h> +# include <openssl/objects.h> +# include <openssl/rand.h> +# include <openssl/bn.h> +# include <openssl/opensslconf.h> + +# if defined(_MSC_VER) && defined(_MIPS_) && (_MSC_VER/100==12) +/* suppress "too big too optimize" warning */ +# pragma warning(disable:4959) +# endif + +# define ABORT do { \ + fflush(stdout); \ + fprintf(stderr, "%s:%d: ABORT\n", __FILE__, __LINE__); \ + ERR_print_errors_fp(stderr); \ + EXIT(1); \ +} while (0) + +# define TIMING_BASE_PT 0 +# define TIMING_RAND_PT 1 +# define TIMING_SIMUL 2 + +/* test multiplication with group order, long and negative scalars */ +static void group_order_tests(EC_GROUP *group) +{ + BIGNUM *n1, *n2, *order; + EC_POINT *P = EC_POINT_new(group); + EC_POINT *Q = EC_POINT_new(group); + BN_CTX *ctx = BN_CTX_new(); + int i; + + n1 = BN_new(); + n2 = BN_new(); + order = BN_new(); + fprintf(stdout, "verify group order ..."); + fflush(stdout); + if (!EC_GROUP_get_order(group, order, ctx)) + ABORT; + if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, Q)) + ABORT; + fprintf(stdout, "."); + fflush(stdout); + if (!EC_GROUP_precompute_mult(group, ctx)) + ABORT; + if (!EC_POINT_mul(group, Q, order, NULL, NULL, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, Q)) + ABORT; + fprintf(stdout, " ok\n"); + fprintf(stdout, "long/negative scalar tests "); + for (i = 1; i <= 2; i++) { + const BIGNUM *scalars[6]; + const EC_POINT *points[6]; + + fprintf(stdout, i == 1 ? + "allowing precomputation ... " : + "without precomputation ... "); + if (!BN_set_word(n1, i)) + ABORT; + /* + * If i == 1, P will be the predefined generator for which + * EC_GROUP_precompute_mult has set up precomputation. + */ + if (!EC_POINT_mul(group, P, n1, NULL, NULL, ctx)) + ABORT; + + if (!BN_one(n1)) + ABORT; + /* n1 = 1 - order */ + if (!BN_sub(n1, n1, order)) + ABORT; + if (!EC_POINT_mul(group, Q, NULL, P, n1, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, Q, P, ctx)) + ABORT; + + /* n2 = 1 + order */ + if (!BN_add(n2, order, BN_value_one())) + ABORT; + if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, Q, P, ctx)) + ABORT; + + /* n2 = (1 - order) * (1 + order) = 1 - order^2 */ + if (!BN_mul(n2, n1, n2, ctx)) + ABORT; + if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, Q, P, ctx)) + ABORT; + + /* n2 = order^2 - 1 */ + BN_set_negative(n2, 0); + if (!EC_POINT_mul(group, Q, NULL, P, n2, ctx)) + ABORT; + /* Add P to verify the result. */ + if (!EC_POINT_add(group, Q, Q, P, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, Q)) + ABORT; + + /* Exercise EC_POINTs_mul, including corner cases. */ + if (EC_POINT_is_at_infinity(group, P)) + ABORT; + scalars[0] = n1; + points[0] = Q; /* => infinity */ + scalars[1] = n2; + points[1] = P; /* => -P */ + scalars[2] = n1; + points[2] = Q; /* => infinity */ + scalars[3] = n2; + points[3] = Q; /* => infinity */ + scalars[4] = n1; + points[4] = P; /* => P */ + scalars[5] = n2; + points[5] = Q; /* => infinity */ + if (!EC_POINTs_mul(group, P, NULL, 6, points, scalars, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + } + fprintf(stdout, "ok\n"); + + EC_POINT_free(P); + EC_POINT_free(Q); + BN_free(n1); + BN_free(n2); + BN_free(order); + BN_CTX_free(ctx); +} + +static void prime_field_tests(void) +{ + BN_CTX *ctx = NULL; + BIGNUM *p, *a, *b; + EC_GROUP *group; + EC_GROUP *P_160 = NULL, *P_192 = NULL, *P_224 = NULL, *P_256 = + NULL, *P_384 = NULL, *P_521 = NULL; + EC_POINT *P, *Q, *R; + BIGNUM *x, *y, *z; + unsigned char buf[100]; + size_t i, len; + int k; + + ctx = BN_CTX_new(); + if (!ctx) + ABORT; + + p = BN_new(); + a = BN_new(); + b = BN_new(); + if (!p || !a || !b) + ABORT; + + if (!BN_hex2bn(&p, "17")) + ABORT; + if (!BN_hex2bn(&a, "1")) + ABORT; + if (!BN_hex2bn(&b, "1")) + ABORT; + + group = EC_GROUP_new(EC_GFp_mont_method()); /* applications should use + * EC_GROUP_new_curve_GFp so + * that the library gets to + * choose the EC_METHOD */ + if (!group) + ABORT; + + if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) + ABORT; + + { + EC_GROUP *tmp; + tmp = EC_GROUP_new(EC_GROUP_method_of(group)); + if (!tmp) + ABORT; + if (!EC_GROUP_copy(tmp, group)) + ABORT; + EC_GROUP_free(group); + group = tmp; + } + + if (!EC_GROUP_get_curve_GFp(group, p, a, b, ctx)) + ABORT; + + fprintf(stdout, + "Curve defined by Weierstrass equation\n y^2 = x^3 + a*x + b (mod 0x"); + BN_print_fp(stdout, p); + fprintf(stdout, ")\n a = 0x"); + BN_print_fp(stdout, a); + fprintf(stdout, "\n b = 0x"); + BN_print_fp(stdout, b); + fprintf(stdout, "\n"); + + P = EC_POINT_new(group); + Q = EC_POINT_new(group); + R = EC_POINT_new(group); + if (!P || !Q || !R) + ABORT; + + if (!EC_POINT_set_to_infinity(group, P)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + + buf[0] = 0; + if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) + ABORT; + + if (!EC_POINT_add(group, P, P, Q, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + + x = BN_new(); + y = BN_new(); + z = BN_new(); + if (!x || !y || !z) + ABORT; + + if (!BN_hex2bn(&x, "D")) + ABORT; + if (!EC_POINT_set_compressed_coordinates_GFp(group, Q, x, 1, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, Q, ctx)) { + if (!EC_POINT_get_affine_coordinates_GFp(group, Q, x, y, ctx)) + ABORT; + fprintf(stderr, "Point is not on curve: x = 0x"); + BN_print_fp(stderr, x); + fprintf(stderr, ", y = 0x"); + BN_print_fp(stderr, y); + fprintf(stderr, "\n"); + ABORT; + } + + fprintf(stdout, "A cyclic subgroup:\n"); + k = 100; + do { + if (k-- == 0) + ABORT; + + if (EC_POINT_is_at_infinity(group, P)) + fprintf(stdout, " point at infinity\n"); + else { + if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + + fprintf(stdout, " x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, ", y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + } + + if (!EC_POINT_copy(R, P)) + ABORT; + if (!EC_POINT_add(group, P, P, Q, ctx)) + ABORT; + + } + while (!EC_POINT_is_at_infinity(group, P)); + + if (!EC_POINT_add(group, P, Q, R, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + + len = + EC_POINT_point2oct(group, Q, POINT_CONVERSION_COMPRESSED, buf, + sizeof buf, ctx); + if (len == 0) + ABORT; + if (!EC_POINT_oct2point(group, P, buf, len, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, P, Q, ctx)) + ABORT; + fprintf(stdout, "Generator as octet string, compressed form:\n "); + for (i = 0; i < len; i++) + fprintf(stdout, "%02X", buf[i]); + + len = + EC_POINT_point2oct(group, Q, POINT_CONVERSION_UNCOMPRESSED, buf, + sizeof buf, ctx); + if (len == 0) + ABORT; + if (!EC_POINT_oct2point(group, P, buf, len, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, P, Q, ctx)) + ABORT; + fprintf(stdout, "\nGenerator as octet string, uncompressed form:\n "); + for (i = 0; i < len; i++) + fprintf(stdout, "%02X", buf[i]); + + len = + EC_POINT_point2oct(group, Q, POINT_CONVERSION_HYBRID, buf, sizeof buf, + ctx); + if (len == 0) + ABORT; + if (!EC_POINT_oct2point(group, P, buf, len, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, P, Q, ctx)) + ABORT; + fprintf(stdout, "\nGenerator as octet string, hybrid form:\n "); + for (i = 0; i < len; i++) + fprintf(stdout, "%02X", buf[i]); + + if (!EC_POINT_get_Jprojective_coordinates_GFp(group, R, x, y, z, ctx)) + ABORT; + fprintf(stdout, + "\nA representation of the inverse of that generator in\nJacobian projective coordinates:\n X = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, ", Y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, ", Z = 0x"); + BN_print_fp(stdout, z); + fprintf(stdout, "\n"); + + if (!EC_POINT_invert(group, P, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, P, R, ctx)) + ABORT; + + /* + * Curve secp160r1 (Certicom Research SEC 2 Version 1.0, section 2.4.2, + * 2000) -- not a NIST curve, but commonly used + */ + + if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFF")) + ABORT; + if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + ABORT; + if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF7FFFFFFC")) + ABORT; + if (!BN_hex2bn(&b, "1C97BEFC54BD7A8B65ACF89F81D4D4ADC565FA45")) + ABORT; + if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) + ABORT; + + if (!BN_hex2bn(&x, "4A96B5688EF573284664698968C38BB913CBFC82")) + ABORT; + if (!BN_hex2bn(&y, "23a628553168947d59dcc912042351377ac5fb32")) + ABORT; + if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) + ABORT; + if (!BN_hex2bn(&z, "0100000000000000000001F4C8F927AED3CA752257")) + ABORT; + if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) + ABORT; + + if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + fprintf(stdout, "\nSEC2 curve secp160r1 -- Generator:\n x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, "\n y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + /* G_y value taken from the standard: */ + if (!BN_hex2bn(&z, "23a628553168947d59dcc912042351377ac5fb32")) + ABORT; + if (0 != BN_cmp(y, z)) + ABORT; + + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 160) + ABORT; + fprintf(stdout, " ok\n"); + + group_order_tests(group); + + if (!(P_160 = EC_GROUP_new(EC_GROUP_method_of(group)))) + ABORT; + if (!EC_GROUP_copy(P_160, group)) + ABORT; + + /* Curve P-192 (FIPS PUB 186-2, App. 6) */ + + if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF")) + ABORT; + if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + ABORT; + if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFC")) + ABORT; + if (!BN_hex2bn(&b, "64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1")) + ABORT; + if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) + ABORT; + + if (!BN_hex2bn(&x, "188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012")) + ABORT; + if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) + ABORT; + if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831")) + ABORT; + if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) + ABORT; + + if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + fprintf(stdout, "\nNIST curve P-192 -- Generator:\n x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, "\n y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + /* G_y value taken from the standard: */ + if (!BN_hex2bn(&z, "07192B95FFC8DA78631011ED6B24CDD573F977A11E794811")) + ABORT; + if (0 != BN_cmp(y, z)) + ABORT; + + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 192) + ABORT; + fprintf(stdout, " ok\n"); + + group_order_tests(group); + + if (!(P_192 = EC_GROUP_new(EC_GROUP_method_of(group)))) + ABORT; + if (!EC_GROUP_copy(P_192, group)) + ABORT; + + /* Curve P-224 (FIPS PUB 186-2, App. 6) */ + + if (!BN_hex2bn + (&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001")) + ABORT; + if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + ABORT; + if (!BN_hex2bn + (&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFFFFFFFFFE")) + ABORT; + if (!BN_hex2bn + (&b, "B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4")) + ABORT; + if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) + ABORT; + + if (!BN_hex2bn + (&x, "B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21")) + ABORT; + if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) + ABORT; + if (!BN_hex2bn + (&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D")) + ABORT; + if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) + ABORT; + + if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + fprintf(stdout, "\nNIST curve P-224 -- Generator:\n x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, "\n y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + /* G_y value taken from the standard: */ + if (!BN_hex2bn + (&z, "BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34")) + ABORT; + if (0 != BN_cmp(y, z)) + ABORT; + + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 224) + ABORT; + fprintf(stdout, " ok\n"); + + group_order_tests(group); + + if (!(P_224 = EC_GROUP_new(EC_GROUP_method_of(group)))) + ABORT; + if (!EC_GROUP_copy(P_224, group)) + ABORT; + + /* Curve P-256 (FIPS PUB 186-2, App. 6) */ + + if (!BN_hex2bn + (&p, + "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF")) + ABORT; + if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + ABORT; + if (!BN_hex2bn + (&a, + "FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFC")) + ABORT; + if (!BN_hex2bn + (&b, + "5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B")) + ABORT; + if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) + ABORT; + + if (!BN_hex2bn + (&x, + "6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296")) + ABORT; + if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) + ABORT; + if (!BN_hex2bn(&z, "FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E" + "84F3B9CAC2FC632551")) + ABORT; + if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) + ABORT; + + if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + fprintf(stdout, "\nNIST curve P-256 -- Generator:\n x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, "\n y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + /* G_y value taken from the standard: */ + if (!BN_hex2bn + (&z, + "4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5")) + ABORT; + if (0 != BN_cmp(y, z)) + ABORT; + + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 256) + ABORT; + fprintf(stdout, " ok\n"); + + group_order_tests(group); + + if (!(P_256 = EC_GROUP_new(EC_GROUP_method_of(group)))) + ABORT; + if (!EC_GROUP_copy(P_256, group)) + ABORT; + + /* Curve P-384 (FIPS PUB 186-2, App. 6) */ + + if (!BN_hex2bn(&p, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF")) + ABORT; + if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + ABORT; + if (!BN_hex2bn(&a, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFC")) + ABORT; + if (!BN_hex2bn(&b, "B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE8141" + "120314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF")) + ABORT; + if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) + ABORT; + + if (!BN_hex2bn(&x, "AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B" + "9859F741E082542A385502F25DBF55296C3A545E3872760AB7")) + ABORT; + if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 1, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) + ABORT; + if (!BN_hex2bn(&z, "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFC7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973")) + ABORT; + if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) + ABORT; + + if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + fprintf(stdout, "\nNIST curve P-384 -- Generator:\n x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, "\n y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + /* G_y value taken from the standard: */ + if (!BN_hex2bn(&z, "3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A14" + "7CE9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F")) + ABORT; + if (0 != BN_cmp(y, z)) + ABORT; + + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 384) + ABORT; + fprintf(stdout, " ok\n"); + + group_order_tests(group); + + if (!(P_384 = EC_GROUP_new(EC_GROUP_method_of(group)))) + ABORT; + if (!EC_GROUP_copy(P_384, group)) + ABORT; + + /* Curve P-521 (FIPS PUB 186-2, App. 6) */ + + if (!BN_hex2bn(&p, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFF")) + ABORT; + if (1 != BN_is_prime_ex(p, BN_prime_checks, ctx, NULL)) + ABORT; + if (!BN_hex2bn(&a, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFFFFFFFFC")) + ABORT; + if (!BN_hex2bn(&b, "051953EB9618E1C9A1F929A21A0B68540EEA2DA725B99B" + "315F3B8B489918EF109E156193951EC7E937B1652C0BD3BB1BF073573" + "DF883D2C34F1EF451FD46B503F00")) + ABORT; + if (!EC_GROUP_set_curve_GFp(group, p, a, b, ctx)) + ABORT; + + if (!BN_hex2bn(&x, "C6858E06B70404E9CD9E3ECB662395B4429C648139053F" + "B521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127A2FFA8DE3348B" + "3C1856A429BF97E7E31C2E5BD66")) + ABORT; + if (!EC_POINT_set_compressed_coordinates_GFp(group, P, x, 0, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) + ABORT; + if (!BN_hex2bn(&z, "1FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" + "FFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148F709A5D03BB5" + "C9B8899C47AEBB6FB71E91386409")) + ABORT; + if (!EC_GROUP_set_generator(group, P, z, BN_value_one())) + ABORT; + + if (!EC_POINT_get_affine_coordinates_GFp(group, P, x, y, ctx)) + ABORT; + fprintf(stdout, "\nNIST curve P-521 -- Generator:\n x = 0x"); + BN_print_fp(stdout, x); + fprintf(stdout, "\n y = 0x"); + BN_print_fp(stdout, y); + fprintf(stdout, "\n"); + /* G_y value taken from the standard: */ + if (!BN_hex2bn(&z, "11839296A789A3BC0045C8A5FB42C7D1BD998F54449579" + "B446817AFBD17273E662C97EE72995EF42640C550B9013FAD0761353C" + "7086A272C24088BE94769FD16650")) + ABORT; + if (0 != BN_cmp(y, z)) + ABORT; + + fprintf(stdout, "verify degree ..."); + if (EC_GROUP_get_degree(group) != 521) + ABORT; + fprintf(stdout, " ok\n"); + + group_order_tests(group); + + if (!(P_521 = EC_GROUP_new(EC_GROUP_method_of(group)))) + ABORT; + if (!EC_GROUP_copy(P_521, group)) + ABORT; + + /* more tests using the last curve */ + + if (!EC_POINT_copy(Q, P)) + ABORT; + if (EC_POINT_is_at_infinity(group, Q)) + ABORT; + if (!EC_POINT_dbl(group, P, P, ctx)) + ABORT; + if (!EC_POINT_is_on_curve(group, P, ctx)) + ABORT; + if (!EC_POINT_invert(group, Q, ctx)) + ABORT; /* P = -2Q */ + + if (!EC_POINT_add(group, R, P, Q, ctx)) + ABORT; + if (!EC_POINT_add(group, R, R, Q, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, R)) + ABORT; /* R = P + 2Q */ + + { + const EC_POINT *points[4]; + const BIGNUM *scalars[4]; + BIGNUM *scalar3; + + if (EC_POINT_is_at_infinity(group, Q)) + ABORT; + points[0] = Q; + points[1] = Q; + points[2] = Q; + points[3] = Q; + + if (!EC_GROUP_get_order(group, z, ctx)) + ABORT; + if (!BN_add(y, z, BN_value_one())) + ABORT; + if (BN_is_odd(y)) + ABORT; + if (!BN_rshift1(y, y)) + ABORT; + scalars[0] = y; /* (group order + 1)/2, so y*Q + y*Q = Q */ + scalars[1] = y; + + fprintf(stdout, "combined multiplication ..."); + fflush(stdout); + + /* z is still the group order */ + if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) + ABORT; + if (!EC_POINTs_mul(group, R, z, 2, points, scalars, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, P, R, ctx)) + ABORT; + if (0 != EC_POINT_cmp(group, R, Q, ctx)) + ABORT; + + fprintf(stdout, "."); + fflush(stdout); + + if (!BN_pseudo_rand(y, BN_num_bits(y), 0, 0)) + ABORT; + if (!BN_add(z, z, y)) + ABORT; + BN_set_negative(z, 1); + scalars[0] = y; + scalars[1] = z; /* z = -(order + y) */ + + if (!EC_POINTs_mul(group, P, NULL, 2, points, scalars, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + + fprintf(stdout, "."); + fflush(stdout); + + if (!BN_pseudo_rand(x, BN_num_bits(y) - 1, 0, 0)) + ABORT; + if (!BN_add(z, x, y)) + ABORT; + BN_set_negative(z, 1); + scalars[0] = x; + scalars[1] = y; + scalars[2] = z; /* z = -(x+y) */ + + scalar3 = BN_new(); + if (!scalar3) + ABORT; + BN_zero(scalar3); + scalars[3] = scalar3; + + if (!EC_POINTs_mul(group, P, NULL, 4, points, scalars, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + + fprintf(stdout, " ok\n\n"); + + BN_free(scalar3); + } + + if (ctx) + BN_CTX_free(ctx); + BN_free(p); + BN_free(a); + BN_free(b); + EC_GROUP_free(group); + EC_POINT_free(P); + EC_POINT_free(Q); + EC_POINT_free(R); + BN_free(x); + BN_free(y); + BN_free(z); + + EC_GROUP_free(P_160); + EC_GROUP_free(P_192); + EC_GROUP_free(P_224); + EC_GROUP_free(P_256); + EC_GROUP_free(P_384); + EC_GROUP_free(P_521); + +} + +/* Change test based on whether binary point compression is enabled or not. */ +# ifdef OPENSSL_EC_BIN_PT_COMP +# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&x, _x)) ABORT; \ + if (!EC_POINT_set_compressed_coordinates_GF2m(group, P, x, _y_bit, ctx)) ABORT; \ + if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ + if (!BN_hex2bn(&z, _order)) ABORT; \ + if (!BN_hex2bn(&cof, _cof)) ABORT; \ + if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ + if (!EC_POINT_get_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ + fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ + BN_print_fp(stdout, x); \ + fprintf(stdout, "\n y = 0x"); \ + BN_print_fp(stdout, y); \ + fprintf(stdout, "\n"); \ + /* G_y value taken from the standard: */ \ + if (!BN_hex2bn(&z, _y)) ABORT; \ + if (0 != BN_cmp(y, z)) ABORT; +# else +# define CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&x, _x)) ABORT; \ + if (!BN_hex2bn(&y, _y)) ABORT; \ + if (!EC_POINT_set_affine_coordinates_GF2m(group, P, x, y, ctx)) ABORT; \ + if (!EC_POINT_is_on_curve(group, P, ctx)) ABORT; \ + if (!BN_hex2bn(&z, _order)) ABORT; \ + if (!BN_hex2bn(&cof, _cof)) ABORT; \ + if (!EC_GROUP_set_generator(group, P, z, cof)) ABORT; \ + fprintf(stdout, "\n%s -- Generator:\n x = 0x", _name); \ + BN_print_fp(stdout, x); \ + fprintf(stdout, "\n y = 0x"); \ + BN_print_fp(stdout, y); \ + fprintf(stdout, "\n"); +# endif + +# define CHAR2_CURVE_TEST(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + if (!BN_hex2bn(&p, _p)) ABORT; \ + if (!BN_hex2bn(&a, _a)) ABORT; \ + if (!BN_hex2bn(&b, _b)) ABORT; \ + if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) ABORT; \ + CHAR2_CURVE_TEST_INTERNAL(_name, _p, _a, _b, _x, _y, _y_bit, _order, _cof, _degree, _variable) \ + fprintf(stdout, "verify degree ..."); \ + if (EC_GROUP_get_degree(group) != _degree) ABORT; \ + fprintf(stdout, " ok\n"); \ + group_order_tests(group); \ + if (!(_variable = EC_GROUP_new(EC_GROUP_method_of(group)))) ABORT; \ + if (!EC_GROUP_copy(_variable, group)) ABORT; \ + +# ifndef OPENSSL_NO_EC2M + +static void char2_field_tests(void) +{ + BN_CTX *ctx = NULL; + BIGNUM *p, *a, *b; + EC_GROUP *group; + EC_GROUP *C2_K163 = NULL, *C2_K233 = NULL, *C2_K283 = NULL, *C2_K409 = + NULL, *C2_K571 = NULL; + EC_GROUP *C2_B163 = NULL, *C2_B233 = NULL, *C2_B283 = NULL, *C2_B409 = + NULL, *C2_B571 = NULL; + EC_POINT *P, *Q, *R; + BIGNUM *x, *y, *z, *cof; + unsigned char buf[100]; + size_t i, len; + int k; + + ctx = BN_CTX_new(); + if (!ctx) + ABORT; + + p = BN_new(); + a = BN_new(); + b = BN_new(); + if (!p || !a || !b) + ABORT; + + if (!BN_hex2bn(&p, "13")) + ABORT; + if (!BN_hex2bn(&a, "3")) + ABORT; + if (!BN_hex2bn(&b, "1")) + ABORT; + + group = EC_GROUP_new(EC_GF2m_simple_method()); /* applications should use + * EC_GROUP_new_curve_GF2m + * so that the library gets + * to choose the EC_METHOD */ + if (!group) + ABORT; + if (!EC_GROUP_set_curve_GF2m(group, p, a, b, ctx)) + ABORT; + + { + EC_GROUP *tmp; + tmp = EC_GROUP_new(EC_GROUP_method_of(group)); + if (!tmp) + ABORT; + if (!EC_GROUP_copy(tmp, group)) + ABORT; + EC_GROUP_free(group); + group = tmp; + } + + if (!EC_GROUP_get_curve_GF2m(group, p, a, b, ctx)) + ABORT; + + fprintf(stdout, + "Curve defined by Weierstrass equation\n y^2 + x*y = x^3 + a*x^2 + b (mod 0x"); + BN_print_fp(stdout, p); + fprintf(stdout, ")\n a = 0x"); + BN_print_fp(stdout, a); + fprintf(stdout, "\n b = 0x"); + BN_print_fp(stdout, b); + fprintf(stdout, "\n(0x... means binary polynomial)\n"); + + P = EC_POINT_new(group); + Q = EC_POINT_new(group); + R = EC_POINT_new(group); + if (!P || !Q || !R) + ABORT; + + if (!EC_POINT_set_to_infinity(group, P)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + + buf[0] = 0; + if (!EC_POINT_oct2point(group, Q, buf, 1, ctx)) + ABORT; + + if (!EC_POINT_add(group, P, P, Q, ctx)) + ABORT; + if (!EC_POINT_is_at_infinity(group, P)) + ABORT; + + x = BN_new(); + y = BN_new(); + z = BN_new(); + cof = BN_new(); + if (!x || !y || !z || !cof) + ABORT; + + if (!BN_hex2bn(&x, "6")) + ABORT; +/* Change test based on whether binary point compression is enabled or not. */ +# ifdef OPENSSL_EC_BIN_PT_COMP + if (!EC_POINT_set_compressed_coordinates_GF2m(group, Q, x, 1, ctx)) + ABORT; +# else + if (!BN_hex2bn(&y, "8")) + ABORT; + if (!EC_POINT_set_affine_coordinates_GF2m(group, Q, x, y, ctx)) + |