/*
* Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the OpenSSL license (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
/* ====================================================================
* 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);
EC_POINT *R = EC_POINT_new(group);
EC_POINT *S = 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] = scalars[1] = BN_value_one();
points[0] = points[1] = P;
if (!EC_POINTs_mul(group, R, NULL, 2, points, scalars, ctx))
ABORT;
if (!EC_POINT_dbl(group, S, points[0], ctx))
ABORT;
if (0 != EC_POINT_cmp(group, R, S, ctx))
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);
EC_POINT_free(R);
EC_POINT_free(S);
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, *yplusone;
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;
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();
yplusone = BN_new();
if (x == NULL || y == NULL || z == NULL || yplusone == NULL)
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) <= 0)
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;
if (!BN_add(yplusone, y, BN_value_one()))
ABORT;
/*
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
* and therefore setting the coordinates should fail.
*/
if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
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))) == NULL)
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) <= 0)
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;
if (!BN_add(yplusone, y, BN_value_one()))
ABORT;
/*
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
* and therefore setting the coordinates should fail.
*/
if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
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))) == NULL)
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) <= 0)
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;
if (!BN_add(yplusone, y, BN_value_one()))
ABORT;
/*
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
* and therefore setting the coordinates should fail.
*/
if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
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))) == NULL)
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) <= 0)
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;
if (!BN_add(yplusone, y, BN_value_one()))
ABORT;
/*
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
* and therefore setting the coordinates should fail.
*/
if (EC_POINT_set_affine_coordinates_GFp(group, P, x, yplusone, ctx))
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))) == NULL)
ABORT;
if (!EC_GROUP_copy(P_521, group))
ABORT;
/* more tests using the last curve */
/* Restore the point that got mangled in the (x, y + 1) test. */
if (!EC_POINT_set_affine_coordinates_GFp(group, P, x, y, ctx))
ABORT;
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) <= 0)
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);
}
BN_CTX_free(ctx);
BN_free(p);
BN_free(a);
BN_free(b);
EC_GROUP_free(group);
EC_POINT_free(P);
EC_POINT_free(Q);
EC_POINT_free(R);
BN_free(x);
BN_free(y);
BN_free(z);
BN_free(yplusone);
EC_GROUP_free(P_224);
EC_GROUP_free(P_256);
EC_GROUP_free(P_384);
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(*curves) * 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;
}
/* Test all built-in curves and let the library choose the EC_METHOD */
for (n = 0; n < crv_len; n++) {
EC_GROUP *group = NULL;
int nid = curves[n].nid;
/*
* Skip for X25519 because low level operations such as EC_POINT_mul()
* are not supported for this curve
*/
if (nid == NID_X25519)
continue;
fprintf(stdout, "%s:\n", OBJ_nid2sn(nid));
fflush(stdout);
if ((group = EC_GROUP_new_by_curve_name(nid)) == NULL) {
ABORT;
}
group_order_tests(group);
EC_GROUP_free(group);
}
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,
/* 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, *yplusone;
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();
yplusone = 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 (!BN_add(yplusone, y, BN_value_one()))
ABORT;
/*
* When (x, y) is on the curve, (x, y + 1) is, as it happens, not,
* and therefore setting the coordinates should fail.
*/
if (EC_POINT_set_affine_coordinates_GFp(NISTP, Q_CHECK, x, yplusone, ctx))
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;
/*
* We have not performed precomputation so have_precompute mult should be
* false
*/
if (EC_GROUP_have_precompute_mult(NISTP))
ABORT;
/* now repeat all tests with precomputation */
if (!EC_GROUP_precompute_mult(NISTP, ctx))
ABORT;
if (!EC_GROUP_have_precompute_mult(NISTP))
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);
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_free(yplusone);
BN_CTX_free(ctx);
}
static void nistp_tests()
{
unsigned i;
for (i = 0; i < OSSL_NELEM(nistp_tests_params); i++) {
nistp_single_test(&nistp_tests_params[i]);
}
}
# endif
static void parameter_test(void)
{
EC_GROUP *group, *group2;
ECPARAMETERS *ecparameters;
fprintf(stderr, "\ntesting ecparameters conversion ...");
group = EC_GROUP_new_by_curve_name(NID_secp384r1);
if (!group)
ABORT;
ecparameters = EC_GROUP_get_ecparameters(group, NULL);
if (!ecparameters)
ABORT;
group2 = EC_GROUP_new_from_ecparameters(ecparameters);
if (!group2)
ABORT;
if (EC_GROUP_cmp(group, group2, NULL))
ABORT;
fprintf(stderr, " ok\n");
EC_GROUP_free(group);
EC_GROUP_free(group2);
ECPARAMETERS_free(ecparameters);
}
static const char rnd_seed[] =
"string to make the random number generator think it has entropy";
int main(int argc, char *argv[])
{
char *p;
p = getenv("OPENSSL_DEBUG_MEMORY");
if (p != NULL && strcmp(p, "on") == 0)
CRYPTO_set_mem_debug(1);
CRYPTO_mem_ctrl(CRYPTO_MEM_CHECK_ON);
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();
parameter_test();
#ifndef OPENSSL_NO_CRYPTO_MDEBUG
if (CRYPTO_mem_leaks_fp(stderr) <= 0)
return 1;
#endif
return 0;
}
#endif