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openssl/ectest.c
Tomas Mraz 1e5b73a151 add back support for secp521r1 EC curve 
- add aarch64 to Configure (#969692)
2013-11-08 18:23:00 +01:00

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/* 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();
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 ... ");
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) */
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;
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);
#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://csrc.nist.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,
"ffffffff00000001000000000000000000000000ffffffffffffffffffffffff", /* p */
"ffffffff00000001000000000000000000000000fffffffffffffffffffffffc", /* a */
"5ac635d8aa3a93e7b3ebbd55769886bc651d06b0cc53b0f63bce3c3e27d2604b", /* b */
"b7e08afdfe94bad3f1dc8c734798ba1c62b3a0ad1e9ea2a38201cd0889bc7a19", /* Qx */
"3603f747959dbf7a4bb226e41928729063adc7ae43529e61b563bbc606cc5e09", /* Qy */
"6b17d1f2e12c4247f8bce6e563a440f277037d812deb33a0f4a13945d898c296", /* Gx */
"4fe342e2fe1a7f9b8ee7eb4a7c0f9e162bce33576b315ececbb6406837bf51f5", /* Gy */
"ffffffff00000000ffffffffffffffffbce6faada7179e84f3b9cac2fc632551", /* order */
"c477f9f65c22cce20657faa5b2d1d8122336f851a508a1ed04e479c34985bf96", /* d */
},
};
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);
}
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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