2001-03-05 20:31:49 +00:00
|
|
|
/* crypto/ec/ecp_nist.c */
|
2002-10-28 13:23:24 +00:00
|
|
|
/*
|
|
|
|
* Written by Nils Larsch for the OpenSSL project.
|
|
|
|
*/
|
2001-03-05 20:31:49 +00:00
|
|
|
/* ====================================================================
|
2002-10-28 13:23:24 +00:00
|
|
|
* Copyright (c) 1998-2002 The OpenSSL Project. All rights reserved.
|
2001-03-05 20:31:49 +00:00
|
|
|
*
|
|
|
|
* 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).
|
|
|
|
*
|
|
|
|
*/
|
2002-08-02 13:42:24 +00:00
|
|
|
/* ====================================================================
|
|
|
|
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
|
|
|
|
* Portions of this software developed by SUN MICROSYSTEMS, INC.,
|
|
|
|
* and contributed to the OpenSSL project.
|
|
|
|
*/
|
2001-03-05 20:31:49 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
#include <openssl/err.h>
|
|
|
|
#include <openssl/obj_mac.h>
|
2001-03-05 20:31:49 +00:00
|
|
|
#include "ec_lcl.h"
|
2001-03-07 01:17:05 +00:00
|
|
|
|
|
|
|
const EC_METHOD *EC_GFp_nist_method(void)
|
|
|
|
{
|
2001-03-07 09:29:45 +00:00
|
|
|
static const EC_METHOD ret = {
|
2002-10-28 13:23:24 +00:00
|
|
|
NID_X9_62_prime_field,
|
2001-03-07 09:53:41 +00:00
|
|
|
ec_GFp_nist_group_init,
|
2001-03-07 09:48:38 +00:00
|
|
|
ec_GFp_nist_group_finish,
|
|
|
|
ec_GFp_nist_group_clear_finish,
|
2001-03-07 19:54:35 +00:00
|
|
|
ec_GFp_nist_group_copy,
|
2002-08-02 14:28:37 +00:00
|
|
|
ec_GFp_nist_group_set_curve,
|
|
|
|
ec_GFp_simple_group_get_curve,
|
2002-08-02 13:42:24 +00:00
|
|
|
ec_GFp_simple_group_get_degree,
|
2002-03-20 10:18:07 +00:00
|
|
|
ec_GFp_simple_group_check_discriminant,
|
2001-03-07 09:29:45 +00:00
|
|
|
ec_GFp_simple_point_init,
|
|
|
|
ec_GFp_simple_point_finish,
|
|
|
|
ec_GFp_simple_point_clear_finish,
|
|
|
|
ec_GFp_simple_point_copy,
|
2001-03-08 01:23:28 +00:00
|
|
|
ec_GFp_simple_point_set_to_infinity,
|
2001-03-08 11:16:33 +00:00
|
|
|
ec_GFp_simple_set_Jprojective_coordinates_GFp,
|
|
|
|
ec_GFp_simple_get_Jprojective_coordinates_GFp,
|
2002-08-02 14:28:37 +00:00
|
|
|
ec_GFp_simple_point_set_affine_coordinates,
|
|
|
|
ec_GFp_simple_point_get_affine_coordinates,
|
|
|
|
ec_GFp_simple_set_compressed_coordinates,
|
2001-03-07 09:29:45 +00:00
|
|
|
ec_GFp_simple_point2oct,
|
|
|
|
ec_GFp_simple_oct2point,
|
|
|
|
ec_GFp_simple_add,
|
|
|
|
ec_GFp_simple_dbl,
|
2001-03-08 11:16:33 +00:00
|
|
|
ec_GFp_simple_invert,
|
2002-08-02 13:42:24 +00:00
|
|
|
0 /* mul */,
|
|
|
|
0 /* precompute_mult */,
|
2001-03-07 09:29:45 +00:00
|
|
|
ec_GFp_simple_is_at_infinity,
|
|
|
|
ec_GFp_simple_is_on_curve,
|
2001-03-08 11:16:33 +00:00
|
|
|
ec_GFp_simple_cmp,
|
2001-03-07 09:29:45 +00:00
|
|
|
ec_GFp_simple_make_affine,
|
2001-03-10 23:18:35 +00:00
|
|
|
ec_GFp_simple_points_make_affine,
|
2001-03-07 19:54:35 +00:00
|
|
|
ec_GFp_nist_field_mul,
|
2001-03-07 09:29:45 +00:00
|
|
|
ec_GFp_nist_field_sqr,
|
2002-08-02 13:42:24 +00:00
|
|
|
0 /* field_div */,
|
2001-03-08 20:55:16 +00:00
|
|
|
0 /* field_encode */,
|
2001-03-10 23:18:35 +00:00
|
|
|
0 /* field_decode */,
|
|
|
|
0 /* field_set_to_one */ };
|
2001-03-07 01:17:05 +00:00
|
|
|
|
|
|
|
return &ret;
|
|
|
|
}
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
#define ECP_MOD_CAST \
|
|
|
|
(int (*)(BIGNUM *, const BIGNUM *, const BIGNUM *, BN_CTX *))
|
|
|
|
|
|
|
|
#if BN_BITS2 == 64 && UINT_MAX != 4294967295UL && ULONG_MAX != 4294967295UL
|
|
|
|
#define NO_32_BIT_TYPE
|
|
|
|
#endif
|
2001-03-07 19:54:35 +00:00
|
|
|
|
|
|
|
int ec_GFp_nist_group_init(EC_GROUP *group)
|
|
|
|
{
|
|
|
|
int ok;
|
|
|
|
|
|
|
|
ok = ec_GFp_simple_group_init(group);
|
2001-03-10 23:18:35 +00:00
|
|
|
group->field_data1 = NULL;
|
2001-03-07 19:54:35 +00:00
|
|
|
return ok;
|
|
|
|
}
|
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
void ec_GFp_nist_group_finish(EC_GROUP *group)
|
|
|
|
{
|
|
|
|
BN_free(&group->field);
|
|
|
|
BN_free(&group->a);
|
|
|
|
BN_free(&group->b);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
void ec_GFp_nist_group_clear_finish(EC_GROUP *group)
|
|
|
|
{
|
|
|
|
BN_clear_free(&group->field);
|
|
|
|
BN_clear_free(&group->a);
|
|
|
|
BN_clear_free(&group->b);
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
|
|
int ec_GFp_nist_group_set_curve(EC_GROUP *group, const BIGNUM *p,
|
|
|
|
const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
int ret = 0;
|
|
|
|
BN_CTX *new_ctx = NULL;
|
|
|
|
BIGNUM *tmp_bn;
|
|
|
|
|
|
|
|
if (ctx == NULL)
|
|
|
|
if ((ctx = new_ctx = BN_CTX_new()) == NULL) return 0;
|
|
|
|
|
|
|
|
BN_CTX_start(ctx);
|
|
|
|
if ((tmp_bn = BN_CTX_get(ctx)) == NULL) goto err;
|
|
|
|
|
|
|
|
if (BN_ucmp(BN_get0_nist_prime_192(), p) == 0)
|
|
|
|
group->field_data1 = (void *)BN_nist_mod_192;
|
|
|
|
else if (BN_ucmp(BN_get0_nist_prime_224(), p) == 0)
|
|
|
|
#if !defined(ECP_NO_32_BIT_TYPE) || defined(OPENSSL_NO_ASM)
|
|
|
|
group->field_data1 = (void *)BN_nist_mod_224;
|
|
|
|
#else
|
|
|
|
goto err;
|
|
|
|
#endif
|
|
|
|
else if (BN_ucmp(BN_get0_nist_prime_256(), p) == 0)
|
|
|
|
#if !defined(ECP_NO_32_BIT_TYPE) || defined(OPENSSL_NO_ASM)
|
|
|
|
group->field_data1 = (void *)BN_nist_mod_256;
|
|
|
|
#else
|
|
|
|
goto err;
|
|
|
|
#endif
|
|
|
|
else if (BN_ucmp(BN_get0_nist_prime_384(), p) == 0)
|
|
|
|
#if !defined(ECP_NO_32_BIT_TYPE) || defined(OPENSSL_NO_ASM)
|
|
|
|
group->field_data1 = (void *)BN_nist_mod_384;
|
|
|
|
#else
|
|
|
|
goto err;
|
|
|
|
#endif
|
|
|
|
else if (BN_ucmp(BN_get0_nist_prime_521(), p) == 0)
|
|
|
|
group->field_data1 = (void *)BN_nist_mod_521;
|
|
|
|
else
|
|
|
|
{
|
|
|
|
ECerr(EC_F_EC_GFP_NIST_GROUP_SET_CURVE_GFP,
|
|
|
|
EC_R_PRIME_IS_NOT_A_NIST_PRIME);
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* group->field */
|
|
|
|
if (!BN_copy(&group->field, p)) goto err;
|
|
|
|
group->field.neg = 0;
|
|
|
|
|
|
|
|
/* group->a */
|
|
|
|
(ECP_MOD_CAST group->field_data1)(&group->a, a, p, ctx);
|
|
|
|
|
|
|
|
/* group->b */
|
|
|
|
(ECP_MOD_CAST group->field_data1)(&group->b, b, p, ctx);
|
|
|
|
|
|
|
|
/* group->a_is_minus3 */
|
|
|
|
if (!BN_add_word(tmp_bn, 3)) goto err;
|
|
|
|
group->a_is_minus3 = (0 == BN_cmp(tmp_bn, &group->field));
|
|
|
|
|
|
|
|
ret = 1;
|
|
|
|
|
|
|
|
err:
|
|
|
|
BN_CTX_end(ctx);
|
|
|
|
if (new_ctx != NULL)
|
|
|
|
BN_CTX_free(new_ctx);
|
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_nist_group_copy(EC_GROUP *dest, const EC_GROUP *src)
|
|
|
|
{
|
|
|
|
if (dest == NULL || src == NULL)
|
|
|
|
return 0;
|
|
|
|
|
|
|
|
if (!BN_copy(&dest->field, &src->field))
|
|
|
|
return 0;
|
|
|
|
if (!BN_copy(&dest->a, &src->a))
|
|
|
|
return 0;
|
|
|
|
if (!BN_copy(&dest->b, &src->b))
|
|
|
|
return 0;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
dest->curve_name = src->curve_name;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
dest->a_is_minus3 = src->a_is_minus3;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
dest->field_data1 = src->field_data1;
|
|
|
|
|
|
|
|
return 1;
|
|
|
|
}
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
int ec_GFp_nist_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
const BIGNUM *b, BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
int ret=0;
|
|
|
|
BN_CTX *ctx_new=NULL;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
if (!group || !r || !a || !b)
|
|
|
|
{
|
|
|
|
ECerr(EC_F_EC_GFP_NIST_FIELD_MUL, ERR_R_PASSED_NULL_PARAMETER);
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
if (!ctx)
|
|
|
|
if ((ctx_new = ctx = BN_CTX_new()) == NULL) goto err;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
if (!BN_mul(r, a, b, ctx)) goto err;
|
|
|
|
if (!(ECP_MOD_CAST group->field_data1)(r, r, &group->field, ctx))
|
|
|
|
goto err;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
ret=1;
|
|
|
|
err:
|
|
|
|
if (ctx_new)
|
|
|
|
BN_CTX_free(ctx_new);
|
|
|
|
return ret;
|
|
|
|
}
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
int ec_GFp_nist_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
int ret=0;
|
|
|
|
BN_CTX *ctx_new=NULL;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
if (!group || !r || !a)
|
|
|
|
{
|
|
|
|
ECerr(EC_F_EC_GFP_NIST_FIELD_SQR, EC_R_PASSED_NULL_PARAMETER);
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
if (!ctx)
|
|
|
|
if ((ctx_new = ctx = BN_CTX_new()) == NULL) goto err;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
if (!BN_sqr(r, a, ctx)) goto err;
|
|
|
|
if (!(ECP_MOD_CAST group->field_data1)(r, r, &group->field, ctx))
|
|
|
|
goto err;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2002-10-28 13:23:24 +00:00
|
|
|
ret=1;
|
|
|
|
err:
|
|
|
|
if (ctx_new)
|
|
|
|
BN_CTX_free(ctx_new);
|
|
|
|
return ret;
|
|
|
|
}
|