2014-06-20 20:00:00 +01:00
|
|
|
/* Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project.
|
|
|
|
* ====================================================================
|
|
|
|
* Copyright (c) 1998-2005 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 <openssl/ec.h>
|
|
|
|
|
|
|
|
#include <openssl/bn.h>
|
|
|
|
#include <openssl/err.h>
|
|
|
|
#include <openssl/mem.h>
|
|
|
|
|
|
|
|
#include "internal.h"
|
|
|
|
|
|
|
|
|
|
|
|
const EC_METHOD *EC_GFp_mont_method(void) {
|
2015-10-10 01:07:47 +01:00
|
|
|
static const EC_METHOD ret = {ec_GFp_mont_group_init,
|
2014-06-20 20:00:00 +01:00
|
|
|
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_point_get_affine_coordinates,
|
2015-10-08 05:52:05 +01:00
|
|
|
ec_wNAF_mul /* XXX: Not constant time. */,
|
2014-06-20 20:00:00 +01:00
|
|
|
ec_GFp_mont_field_mul,
|
|
|
|
ec_GFp_mont_field_sqr,
|
|
|
|
ec_GFp_mont_field_encode,
|
|
|
|
ec_GFp_mont_field_decode,
|
|
|
|
ec_GFp_mont_field_set_to_one};
|
|
|
|
|
|
|
|
return &ret;
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_group_init(EC_GROUP *group) {
|
|
|
|
int ok;
|
|
|
|
|
|
|
|
ok = ec_GFp_simple_group_init(group);
|
2015-04-08 22:11:16 +01:00
|
|
|
group->mont = NULL;
|
|
|
|
group->one = NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
return ok;
|
|
|
|
}
|
|
|
|
|
|
|
|
void ec_GFp_mont_group_finish(EC_GROUP *group) {
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_MONT_CTX_free(group->mont);
|
|
|
|
group->mont = NULL;
|
|
|
|
BN_free(group->one);
|
|
|
|
group->one = NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
ec_GFp_simple_group_finish(group);
|
|
|
|
}
|
|
|
|
|
|
|
|
void ec_GFp_mont_group_clear_finish(EC_GROUP *group) {
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_MONT_CTX_free(group->mont);
|
|
|
|
group->mont = NULL;
|
|
|
|
BN_clear_free(group->one);
|
|
|
|
group->one = NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
ec_GFp_simple_group_clear_finish(group);
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_group_copy(EC_GROUP *dest, const EC_GROUP *src) {
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_MONT_CTX_free(dest->mont);
|
|
|
|
dest->mont = NULL;
|
|
|
|
BN_clear_free(dest->one);
|
|
|
|
dest->one = NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
|
2015-02-11 06:17:18 +00:00
|
|
|
if (!ec_GFp_simple_group_copy(dest, src)) {
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
|
|
|
|
2015-04-08 22:11:16 +01:00
|
|
|
if (src->mont != NULL) {
|
|
|
|
dest->mont = BN_MONT_CTX_new();
|
|
|
|
if (dest->mont == NULL) {
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2015-04-08 22:11:16 +01:00
|
|
|
if (!BN_MONT_CTX_copy(dest->mont, src->mont)) {
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
2015-04-08 22:11:16 +01:00
|
|
|
if (src->one != NULL) {
|
|
|
|
dest->one = BN_dup(src->one);
|
|
|
|
if (dest->one == NULL) {
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
return 1;
|
|
|
|
|
|
|
|
err:
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_MONT_CTX_free(dest->mont);
|
|
|
|
dest->mont = NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
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;
|
|
|
|
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_MONT_CTX_free(group->mont);
|
|
|
|
group->mont = NULL;
|
|
|
|
BN_free(group->one);
|
|
|
|
group->one = NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
|
|
|
|
if (ctx == NULL) {
|
|
|
|
ctx = new_ctx = BN_CTX_new();
|
2015-02-11 06:17:18 +00:00
|
|
|
if (ctx == NULL) {
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
mont = BN_MONT_CTX_new();
|
2015-02-11 06:17:18 +00:00
|
|
|
if (mont == NULL) {
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
|
|
|
if (!BN_MONT_CTX_set(mont, p, ctx)) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, ERR_R_BN_LIB);
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
one = BN_new();
|
2015-02-11 06:17:18 +00:00
|
|
|
if (one == NULL || !BN_to_montgomery(one, BN_value_one(), mont, ctx)) {
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
|
|
|
|
2015-04-08 22:11:16 +01:00
|
|
|
group->mont = mont;
|
2014-06-20 20:00:00 +01:00
|
|
|
mont = NULL;
|
2015-04-08 22:11:16 +01:00
|
|
|
group->one = one;
|
2014-06-20 20:00:00 +01:00
|
|
|
one = NULL;
|
|
|
|
|
|
|
|
ret = ec_GFp_simple_group_set_curve(group, p, a, b, ctx);
|
|
|
|
|
|
|
|
if (!ret) {
|
2015-04-08 22:11:16 +01:00
|
|
|
BN_MONT_CTX_free(group->mont);
|
|
|
|
group->mont = NULL;
|
|
|
|
BN_free(group->one);
|
|
|
|
group->one = NULL;
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
err:
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_CTX_free(new_ctx);
|
|
|
|
BN_MONT_CTX_free(mont);
|
|
|
|
BN_free(one);
|
2014-06-20 20:00:00 +01:00
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_mul(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
const BIGNUM *b, BN_CTX *ctx) {
|
2015-04-08 22:11:16 +01:00
|
|
|
if (group->mont == NULL) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2015-04-08 22:11:16 +01:00
|
|
|
return BN_mod_mul_montgomery(r, a, b, group->mont, ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_sqr(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
BN_CTX *ctx) {
|
2015-04-08 22:11:16 +01:00
|
|
|
if (group->mont == NULL) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2015-04-08 22:11:16 +01:00
|
|
|
return BN_mod_mul_montgomery(r, a, a, group->mont, ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_encode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
BN_CTX *ctx) {
|
2015-04-08 22:11:16 +01:00
|
|
|
if (group->mont == NULL) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2015-04-08 22:11:16 +01:00
|
|
|
return BN_to_montgomery(r, a, group->mont, ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_decode(const EC_GROUP *group, BIGNUM *r, const BIGNUM *a,
|
|
|
|
BN_CTX *ctx) {
|
2015-04-08 22:11:16 +01:00
|
|
|
if (group->mont == NULL) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2015-04-08 22:11:16 +01:00
|
|
|
return BN_from_montgomery(r, a, group->mont, ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_mont_field_set_to_one(const EC_GROUP *group, BIGNUM *r,
|
|
|
|
BN_CTX *ctx) {
|
2015-04-08 22:11:16 +01:00
|
|
|
if (group->one == NULL) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_NOT_INITIALIZED);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2015-04-08 22:11:16 +01:00
|
|
|
if (!BN_copy(r, group->one)) {
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
|
|
|
return 1;
|
|
|
|
}
|