2001-03-05 20:14:00 +00:00
|
|
|
/* crypto/ec/ecp_mont.c */
|
2002-08-02 14:28:37 +00:00
|
|
|
/*
|
|
|
|
* Originally written by Bodo Moeller for the OpenSSL project.
|
|
|
|
*/
|
2001-03-05 20:14:00 +00:00
|
|
|
/* ====================================================================
|
|
|
|
* 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
|
2015-01-22 03:29:12 +00:00
|
|
|
* notice, this list of conditions and the following disclaimer.
|
2001-03-05 20:14:00 +00:00
|
|
|
*
|
|
|
|
* 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 20:14:00 +00:00
|
|
|
|
2001-03-08 20:55:16 +00:00
|
|
|
#include <openssl/err.h>
|
|
|
|
|
2011-06-06 15:39:17 +00:00
|
|
|
#ifdef OPENSSL_FIPS
|
2015-01-22 03:29:12 +00:00
|
|
|
# include <openssl/fips.h>
|
2011-06-06 15:39:17 +00:00
|
|
|
#endif
|
|
|
|
|
2001-03-05 20:14:00 +00:00
|
|
|
#include "ec_lcl.h"
|
2001-03-07 01:17:05 +00:00
|
|
|
|
|
|
|
const EC_METHOD *EC_GFp_mont_method(void)
|
2015-01-22 03:29:12 +00:00
|
|
|
{
|
|
|
|
static const EC_METHOD ret = {
|
|
|
|
EC_FLAGS_DEFAULT_OCT,
|
|
|
|
NID_X9_62_prime_field,
|
|
|
|
ec_GFp_mont_group_init,
|
|
|
|
ec_GFp_mont_group_finish,
|
|
|
|
ec_GFp_mont_group_clear_finish,
|
|
|
|
ec_GFp_mont_group_copy,
|
|
|
|
ec_GFp_mont_group_set_curve,
|
|
|
|
ec_GFp_simple_group_get_curve,
|
|
|
|
ec_GFp_simple_group_get_degree,
|
|
|
|
ec_GFp_simple_group_check_discriminant,
|
|
|
|
ec_GFp_simple_point_init,
|
|
|
|
ec_GFp_simple_point_finish,
|
|
|
|
ec_GFp_simple_point_clear_finish,
|
|
|
|
ec_GFp_simple_point_copy,
|
|
|
|
ec_GFp_simple_point_set_to_infinity,
|
|
|
|
ec_GFp_simple_set_Jprojective_coordinates_GFp,
|
|
|
|
ec_GFp_simple_get_Jprojective_coordinates_GFp,
|
|
|
|
ec_GFp_simple_point_set_affine_coordinates,
|
|
|
|
ec_GFp_simple_point_get_affine_coordinates,
|
|
|
|
0, 0, 0,
|
|
|
|
ec_GFp_simple_add,
|
|
|
|
ec_GFp_simple_dbl,
|
|
|
|
ec_GFp_simple_invert,
|
|
|
|
ec_GFp_simple_is_at_infinity,
|
|
|
|
ec_GFp_simple_is_on_curve,
|
|
|
|
ec_GFp_simple_cmp,
|
|
|
|
ec_GFp_simple_make_affine,
|
|
|
|
ec_GFp_simple_points_make_affine,
|
|
|
|
0 /* mul */ ,
|
|
|
|
0 /* precompute_mult */ ,
|
|
|
|
0 /* have_precompute_mult */ ,
|
|
|
|
ec_GFp_mont_field_mul,
|
|
|
|
ec_GFp_mont_field_sqr,
|
|
|
|
0 /* field_div */ ,
|
|
|
|
ec_GFp_mont_field_encode,
|
|
|
|
ec_GFp_mont_field_decode,
|
|
|
|
ec_GFp_mont_field_set_to_one
|
|
|
|
};
|
2001-03-07 01:17:05 +00:00
|
|
|
|
2014-08-07 00:08:14 +00:00
|
|
|
#ifdef OPENSSL_FIPS
|
2015-01-22 03:29:12 +00:00
|
|
|
if (FIPS_mode())
|
|
|
|
return fips_ec_gfp_mont_method();
|
2011-06-06 15:39:17 +00:00
|
|
|
#endif
|
2014-08-07 00:08:14 +00:00
|
|
|
|
2015-01-22 03:29:12 +00:00
|
|
|
return &ret;
|
|
|
|
}
|
2001-03-07 19:54:35 +00:00
|
|
|
|
|
|
|
int ec_GFp_mont_group_init(EC_GROUP *group)
|
2015-01-22 03:29:12 +00:00
|
|
|
{
|
|
|
|
int ok;
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2015-01-22 03:29:12 +00:00
|
|
|
ok = ec_GFp_simple_group_init(group);
|
|
|
|
group->field_data1 = NULL;
|
|
|
|
group->field_data2 = NULL;
|
|
|
|
return ok;
|
|
|
|
}
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2001-03-08 20:55:16 +00:00
|
|
|
void ec_GFp_mont_group_finish(EC_GROUP *group)
|
2015-01-22 03:29:12 +00:00
|
|
|
{
|
|
|
|
if (group->field_data1 != NULL) {
|
|
|
|
BN_MONT_CTX_free(group->field_data1);
|
|
|
|
group->field_data1 = NULL;
|
|
|
|
}
|
|
|
|
if (group->field_data2 != NULL) {
|
|
|
|
BN_free(group->field_data2);
|
|
|
|
group->field_data2 = NULL;
|
|
|
|
}
|
|
|
|
ec_GFp_simple_group_finish(group);
|
|
|
|
}
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2001-03-08 20:55:16 +00:00
|
|
|
void ec_GFp_mont_group_clear_finish(EC_GROUP *group)
|
2015-01-22 03:29:12 +00:00
|
|
|
{
|
|
|
|
if (group->field_data1 != NULL) {
|
|
|
|
BN_MONT_CTX_free(group->field_data1);
|
|
|
|
group->field_data1 = NULL;
|
|
|
|
}
|
|
|
|
if (group->field_data2 != NULL) {
|
|
|
|
BN_clear_free(group->field_data2);
|
|
|
|
group->field_data2 = NULL;
|
|
|
|
}
|
|
|
|
ec_GFp_simple_group_clear_finish(group);
|
|
|
|
}
|
2001-03-07 19:54:35 +00:00
|
|
|
|
2001-03-08 20:55:16 +00:00
|
|
|
int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src)
|
2015-01-22 03:29:12 +00:00
|
|
|
{
|
|
|
|
if (dest->field_data1 != NULL) {
|
|
|
|
BN_MONT_CTX_free(dest->field_data1);
|
|
|
|
dest->field_data1 = NULL;
|
|
|
|
}
|
|
|
|
if (dest->field_data2 != NULL) {
|
|
|
|
BN_clear_free(dest->field_data2);
|
|
|
|
dest->field_data2 = NULL;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (!ec_GFp_simple_group_copy(dest, src))
|
|
|
|
return 0;
|
|
|
|
|
|
|
|
if (src->field_data1 != NULL) {
|
|
|
|
dest->field_data1 = BN_MONT_CTX_new();
|
|
|
|
if (dest->field_data1 == NULL)
|
|
|
|
return 0;
|
|
|
|
if (!BN_MONT_CTX_copy(dest->field_data1, src->field_data1))
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
if (src->field_data2 != NULL) {
|
|
|
|
dest->field_data2 = BN_dup(src->field_data2);
|
|
|
|
if (dest->field_data2 == NULL)
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
|
|
|
return 1;
|
2001-03-10 23:18:35 +00:00
|
|
|
|
|
|
|
err:
|
2015-01-22 03:29:12 +00:00
|
|
|
if (dest->field_data1 != NULL) {
|
|
|
|
BN_MONT_CTX_free(dest->field_data1);
|
|
|
|
dest->field_data1 = NULL;
|
|
|
|
}
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_group_set_curve(EC_GROUP *group, const BIGNUM *p,
|
|
|
|
const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
BN_CTX *new_ctx = NULL;
|
|
|
|
BN_MONT_CTX *mont = NULL;
|
|
|
|
BIGNUM *one = NULL;
|
|
|
|
int ret = 0;
|
|
|
|
|
|
|
|
if (group->field_data1 != NULL) {
|
|
|
|
BN_MONT_CTX_free(group->field_data1);
|
|
|
|
group->field_data1 = NULL;
|
|
|
|
}
|
|
|
|
if (group->field_data2 != NULL) {
|
|
|
|
BN_free(group->field_data2);
|
|
|
|
group->field_data2 = NULL;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (ctx == NULL) {
|
|
|
|
ctx = new_ctx = BN_CTX_new();
|
|
|
|
if (ctx == NULL)
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
mont = BN_MONT_CTX_new();
|
|
|
|
if (mont == NULL)
|
|
|
|
goto err;
|
|
|
|
if (!BN_MONT_CTX_set(mont, p, ctx)) {
|
|
|
|
ECerr(EC_F_EC_GFP_MONT_GROUP_SET_CURVE, ERR_R_BN_LIB);
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
one = BN_new();
|
|
|
|
if (one == NULL)
|
|
|
|
goto err;
|
|
|
|
if (!BN_to_montgomery(one, BN_value_one(), mont, ctx))
|
|
|
|
goto err;
|
|
|
|
|
|
|
|
group->field_data1 = mont;
|
|
|
|
mont = NULL;
|
|
|
|
group->field_data2 = one;
|
|
|
|
one = NULL;
|
|
|
|
|
|
|
|
ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
|
|
|
|
|
|
|
|
if (!ret) {
|
|
|
|
BN_MONT_CTX_free(group->field_data1);
|
|
|
|
group->field_data1 = NULL;
|
|
|
|
BN_free(group->field_data2);
|
|
|
|
group->field_data2 = NULL;
|
|
|
|
}
|
2002-11-18 14:33:39 +00:00
|
|
|
|
|
|
|
err:
|
2015-01-22 03:29:12 +00:00
|
|
|
if (new_ctx != NULL)
|
|
|
|
BN_CTX_free(new_ctx);
|
|
|
|
if (mont != NULL)
|
|
|
|
BN_MONT_CTX_free(mont);
|
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
const BIGNUM *b, BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
if (group->field_data1 == NULL) {
|
|
|
|
ECerr(EC_F_EC_GFP_MONT_FIELD_MUL, EC_R_NOT_INITIALIZED);
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
return BN_mod_mul_montgomery(r, a, b, group->field_data1, ctx);
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
if (group->field_data1 == NULL) {
|
|
|
|
ECerr(EC_F_EC_GFP_MONT_FIELD_SQR, EC_R_NOT_INITIALIZED);
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
return BN_mod_mul_montgomery(r, a, a, group->field_data1, ctx);
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r,
|
|
|
|
const BIGNUM *a, BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
if (group->field_data1 == NULL) {
|
|
|
|
ECerr(EC_F_EC_GFP_MONT_FIELD_ENCODE, EC_R_NOT_INITIALIZED);
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
return BN_to_montgomery(r, a, (BN_MONT_CTX *)group->field_data1, ctx);
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r,
|
|
|
|
const BIGNUM *a, BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
if (group->field_data1 == NULL) {
|
|
|
|
ECerr(EC_F_EC_GFP_MONT_FIELD_DECODE, EC_R_NOT_INITIALIZED);
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
return BN_from_montgomery(r, a, group->field_data1, ctx);
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r,
|
|
|
|
BN_CTX *ctx)
|
|
|
|
{
|
|
|
|
if (group->field_data2 == NULL) {
|
|
|
|
ECerr(EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE, EC_R_NOT_INITIALIZED);
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (!BN_copy(r, group->field_data2))
|
|
|
|
return 0;
|
|
|
|
return 1;
|
|
|
|
}
|