2014-06-20 20:00:00 +01:00
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/* Originally written by Bodo Moeller for the OpenSSL project.
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* ====================================================================
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* Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
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*
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* are met:
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*
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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*
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions and the following disclaimer in
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* the documentation and/or other materials provided with the
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* distribution.
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*
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* 3. All advertising materials mentioning features or use of this
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* software must display the following acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
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*
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* 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
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* endorse or promote products derived from this software without
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* prior written permission. For written permission, please contact
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* openssl-core@openssl.org.
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*
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* 5. Products derived from this software may not be called "OpenSSL"
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* nor may "OpenSSL" appear in their names without prior written
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* permission of the OpenSSL Project.
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*
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* 6. Redistributions of any form whatsoever must retain the following
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* acknowledgment:
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* "This product includes software developed by the OpenSSL Project
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* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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*
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* THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
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* EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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* PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
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* ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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* SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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* NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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* LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
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* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
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* STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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* ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
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* OF THE POSSIBILITY OF SUCH DAMAGE.
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* ====================================================================
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*
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* This product includes cryptographic software written by Eric Young
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* (eay@cryptsoft.com). This product includes software written by Tim
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* Hudson (tjh@cryptsoft.com).
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*
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*/
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/* ====================================================================
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* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
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*
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* Portions of the attached software ("Contribution") are developed by
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* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
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*
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* The Contribution is licensed pursuant to the OpenSSL open source
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* license provided above.
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*
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* The elliptic curve binary polynomial software is originally written by
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* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems
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* Laboratories. */
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#include <openssl/ec.h>
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#include <openssl/bn.h>
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#include <openssl/err.h>
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#include "internal.h"
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static size_t ec_GFp_simple_point2oct(const EC_GROUP *group,
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const EC_POINT *point,
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point_conversion_form_t form,
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uint8_t *buf, size_t len, BN_CTX *ctx) {
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size_t ret;
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BN_CTX *new_ctx = NULL;
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int used_ctx = 0;
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BIGNUM *x, *y;
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2014-11-10 22:28:53 +00:00
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size_t field_len, i;
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2014-06-20 20:00:00 +01:00
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if ((form != POINT_CONVERSION_COMPRESSED) &&
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2014-12-08 14:41:59 +00:00
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(form != POINT_CONVERSION_UNCOMPRESSED)) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_INVALID_FORM);
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2014-06-20 20:00:00 +01:00
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goto err;
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}
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if (EC_POINT_is_at_infinity(group, point)) {
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/* encodes to a single 0 octet */
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if (buf != NULL) {
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if (len < 1) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
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2014-06-20 20:00:00 +01:00
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return 0;
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}
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buf[0] = 0;
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}
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return 1;
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}
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/* ret := required output buffer length */
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field_len = BN_num_bytes(&group->field);
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ret =
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(form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
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/* if 'buf' is NULL, just return required length */
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if (buf != NULL) {
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if (len < ret) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
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2014-06-20 20:00:00 +01:00
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goto err;
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}
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if (ctx == NULL) {
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ctx = new_ctx = BN_CTX_new();
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2014-11-10 22:28:53 +00:00
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if (ctx == NULL) {
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2014-06-20 20:00:00 +01:00
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return 0;
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2014-11-10 22:28:53 +00:00
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}
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2014-06-20 20:00:00 +01:00
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}
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BN_CTX_start(ctx);
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used_ctx = 1;
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x = BN_CTX_get(ctx);
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y = BN_CTX_get(ctx);
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2014-11-10 22:28:53 +00:00
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if (y == NULL) {
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2014-06-20 20:00:00 +01:00
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goto err;
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2014-11-10 22:28:53 +00:00
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}
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2014-06-20 20:00:00 +01:00
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2014-11-10 22:28:53 +00:00
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if (!EC_POINT_get_affine_coordinates_GFp(group, point, x, y, ctx)) {
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2014-06-20 20:00:00 +01:00
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goto err;
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2014-11-10 22:28:53 +00:00
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}
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2014-06-20 20:00:00 +01:00
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2014-12-08 14:41:59 +00:00
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if ((form == POINT_CONVERSION_COMPRESSED) &&
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2014-11-10 22:28:53 +00:00
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BN_is_odd(y)) {
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2014-06-20 20:00:00 +01:00
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buf[0] = form + 1;
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2014-11-10 22:28:53 +00:00
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} else {
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2014-06-20 20:00:00 +01:00
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buf[0] = form;
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2014-11-10 22:28:53 +00:00
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}
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2014-06-20 20:00:00 +01:00
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i = 1;
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2014-11-10 22:28:53 +00:00
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if (!BN_bn2bin_padded(buf + i, field_len, x)) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
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2014-06-20 20:00:00 +01:00
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goto err;
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}
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2014-11-10 22:28:53 +00:00
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i += field_len;
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2014-06-20 20:00:00 +01:00
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2014-12-08 14:41:59 +00:00
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if (form == POINT_CONVERSION_UNCOMPRESSED) {
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2014-11-10 22:28:53 +00:00
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if (!BN_bn2bin_padded(buf + i, field_len, y)) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
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2014-06-20 20:00:00 +01:00
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goto err;
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}
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2014-11-10 22:28:53 +00:00
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i += field_len;
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2014-06-20 20:00:00 +01:00
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}
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if (i != ret) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
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2014-06-20 20:00:00 +01:00
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goto err;
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}
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}
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2014-11-10 22:28:53 +00:00
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if (used_ctx) {
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2014-06-20 20:00:00 +01:00
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BN_CTX_end(ctx);
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2014-11-10 22:28:53 +00:00
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}
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2015-04-22 20:08:19 +01:00
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BN_CTX_free(new_ctx);
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2014-06-20 20:00:00 +01:00
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return ret;
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err:
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2014-11-10 22:28:53 +00:00
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if (used_ctx) {
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2014-06-20 20:00:00 +01:00
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BN_CTX_end(ctx);
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2014-11-10 22:28:53 +00:00
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}
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2015-04-22 20:08:19 +01:00
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BN_CTX_free(new_ctx);
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2014-06-20 20:00:00 +01:00
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return 0;
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}
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static int ec_GFp_simple_oct2point(const EC_GROUP *group, EC_POINT *point,
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const uint8_t *buf, size_t len,
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BN_CTX *ctx) {
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point_conversion_form_t form;
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int y_bit;
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BN_CTX *new_ctx = NULL;
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BIGNUM *x, *y;
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size_t field_len, enc_len;
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int ret = 0;
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if (len == 0) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_BUFFER_TOO_SMALL);
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2014-06-20 20:00:00 +01:00
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return 0;
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}
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form = buf[0];
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y_bit = form & 1;
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form = form & ~1U;
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if ((form != 0) && (form != POINT_CONVERSION_COMPRESSED) &&
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2014-12-08 14:41:59 +00:00
|
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(form != POINT_CONVERSION_UNCOMPRESSED)) {
|
2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
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2014-06-20 20:00:00 +01:00
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return 0;
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}
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if ((form == 0 || form == POINT_CONVERSION_UNCOMPRESSED) && y_bit) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
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2014-06-20 20:00:00 +01:00
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return 0;
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}
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if (form == 0) {
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|
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if (len != 1) {
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2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
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2014-06-20 20:00:00 +01:00
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return 0;
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}
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return EC_POINT_set_to_infinity(group, point);
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}
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field_len = BN_num_bytes(&group->field);
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enc_len =
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(form == POINT_CONVERSION_COMPRESSED) ? 1 + field_len : 1 + 2 * field_len;
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if (len != enc_len) {
|
2015-06-29 05:28:17 +01:00
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OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
|
2014-06-20 20:00:00 +01:00
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return 0;
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}
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if (ctx == NULL) {
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ctx = new_ctx = BN_CTX_new();
|
2015-02-11 06:17:18 +00:00
|
|
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if (ctx == NULL) {
|
2014-06-20 20:00:00 +01:00
|
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return 0;
|
2015-02-11 06:17:18 +00:00
|
|
|
}
|
2014-06-20 20:00:00 +01:00
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}
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BN_CTX_start(ctx);
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x = BN_CTX_get(ctx);
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y = BN_CTX_get(ctx);
|
2015-08-06 15:42:27 +01:00
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if (x == NULL || y == NULL) {
|
2014-06-20 20:00:00 +01:00
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goto err;
|
2015-02-11 06:17:18 +00:00
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}
|
2014-06-20 20:00:00 +01:00
|
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|
2015-02-11 06:17:18 +00:00
|
|
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if (!BN_bin2bn(buf + 1, field_len, x)) {
|
2014-06-20 20:00:00 +01:00
|
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goto err;
|
2015-02-11 06:17:18 +00:00
|
|
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}
|
2014-06-20 20:00:00 +01:00
|
|
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if (BN_ucmp(x, &group->field) >= 0) {
|
2015-06-29 05:28:17 +01:00
|
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|
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
|
|
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}
|
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|
|
|
|
|
|
if (form == POINT_CONVERSION_COMPRESSED) {
|
2015-02-11 06:17:18 +00:00
|
|
|
if (!EC_POINT_set_compressed_coordinates_GFp(group, point, x, y_bit, 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
|
|
|
} else {
|
2015-02-11 06:17:18 +00:00
|
|
|
if (!BN_bin2bn(buf + 1 + field_len, field_len, y)) {
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
2015-02-11 06:17:18 +00:00
|
|
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}
|
2014-06-20 20:00:00 +01:00
|
|
|
if (BN_ucmp(y, &group->field) >= 0) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_ENCODING);
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
2015-02-11 06:17:18 +00:00
|
|
|
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, 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
|
|
|
}
|
|
|
|
|
2015-02-11 06:17:18 +00:00
|
|
|
/* test required by X9.62 */
|
|
|
|
if (!EC_POINT_is_on_curve(group, point, ctx)) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_POINT_IS_NOT_ON_CURVE);
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
|
|
|
ret = 1;
|
|
|
|
|
|
|
|
err:
|
|
|
|
BN_CTX_end(ctx);
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_CTX_free(new_ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
|
|
|
|
int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
|
|
|
|
const uint8_t *buf, size_t len, BN_CTX *ctx) {
|
|
|
|
if (group->meth != point->meth) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
2015-10-10 01:07:47 +01:00
|
|
|
return ec_GFp_simple_oct2point(group, point, buf, len, ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point,
|
|
|
|
point_conversion_form_t form, uint8_t *buf,
|
|
|
|
size_t len, BN_CTX *ctx) {
|
|
|
|
if (group->meth != point->meth) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
2015-10-10 01:07:47 +01:00
|
|
|
return ec_GFp_simple_point2oct(group, point, form, buf, len, ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
|
|
|
|
int ec_GFp_simple_set_compressed_coordinates(const EC_GROUP *group,
|
|
|
|
EC_POINT *point, const BIGNUM *x_,
|
|
|
|
int y_bit, BN_CTX *ctx) {
|
|
|
|
BN_CTX *new_ctx = NULL;
|
|
|
|
BIGNUM *tmp1, *tmp2, *x, *y;
|
|
|
|
int ret = 0;
|
|
|
|
|
|
|
|
ERR_clear_error();
|
|
|
|
|
|
|
|
if (ctx == NULL) {
|
|
|
|
ctx = new_ctx = BN_CTX_new();
|
|
|
|
if (ctx == NULL) {
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
y_bit = (y_bit != 0);
|
|
|
|
|
|
|
|
BN_CTX_start(ctx);
|
|
|
|
tmp1 = BN_CTX_get(ctx);
|
|
|
|
tmp2 = BN_CTX_get(ctx);
|
|
|
|
x = BN_CTX_get(ctx);
|
|
|
|
y = BN_CTX_get(ctx);
|
|
|
|
if (y == NULL) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Recover y. We have a Weierstrass equation
|
|
|
|
* y^2 = x^3 + a*x + b,
|
|
|
|
* so y is one of the square roots of x^3 + a*x + b. */
|
|
|
|
|
|
|
|
/* tmp1 := x^3 */
|
|
|
|
if (!BN_nnmod(x, x_, &group->field, ctx)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (group->meth->field_decode == 0) {
|
|
|
|
/* field_{sqr,mul} work on standard representation */
|
|
|
|
if (!group->meth->field_sqr(group, tmp2, x_, ctx) ||
|
|
|
|
!group->meth->field_mul(group, tmp1, tmp2, x_, ctx)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
if (!BN_mod_sqr(tmp2, x_, &group->field, ctx) ||
|
|
|
|
!BN_mod_mul(tmp1, tmp2, x_, &group->field, ctx)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* tmp1 := tmp1 + a*x */
|
|
|
|
if (group->a_is_minus3) {
|
|
|
|
if (!BN_mod_lshift1_quick(tmp2, x, &group->field) ||
|
|
|
|
!BN_mod_add_quick(tmp2, tmp2, x, &group->field) ||
|
|
|
|
!BN_mod_sub_quick(tmp1, tmp1, tmp2, &group->field)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
if (group->meth->field_decode) {
|
|
|
|
if (!group->meth->field_decode(group, tmp2, &group->a, ctx) ||
|
|
|
|
!BN_mod_mul(tmp2, tmp2, x, &group->field, ctx)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
/* field_mul works on standard representation */
|
|
|
|
if (!group->meth->field_mul(group, tmp2, &group->a, x, ctx)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if (!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
/* tmp1 := tmp1 + b */
|
|
|
|
if (group->meth->field_decode) {
|
|
|
|
if (!group->meth->field_decode(group, tmp2, &group->b, ctx) ||
|
|
|
|
!BN_mod_add_quick(tmp1, tmp1, tmp2, &group->field)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
} else {
|
|
|
|
if (!BN_mod_add_quick(tmp1, tmp1, &group->b, &group->field)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
if (!BN_mod_sqrt(y, tmp1, &group->field, ctx)) {
|
|
|
|
unsigned long err = ERR_peek_last_error();
|
|
|
|
|
|
|
|
if (ERR_GET_LIB(err) == ERR_LIB_BN &&
|
|
|
|
ERR_GET_REASON(err) == BN_R_NOT_A_SQUARE) {
|
|
|
|
ERR_clear_error();
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSED_POINT);
|
2014-06-20 20:00:00 +01:00
|
|
|
} else {
|
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;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (y_bit != BN_is_odd(y)) {
|
|
|
|
if (BN_is_zero(y)) {
|
|
|
|
int kron;
|
|
|
|
|
|
|
|
kron = BN_kronecker(x, &group->field, ctx);
|
|
|
|
if (kron == -2) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
|
|
|
if (kron == 1) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSION_BIT);
|
2014-06-20 20:00:00 +01:00
|
|
|
} else {
|
|
|
|
/* BN_mod_sqrt() should have cought this error (not a square) */
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_INVALID_COMPRESSED_POINT);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
if (!BN_usub(y, &group->field, y)) {
|
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
if (y_bit != BN_is_odd(y)) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, ERR_R_INTERNAL_ERROR);
|
2014-06-20 20:00:00 +01:00
|
|
|
goto err;
|
|
|
|
}
|
|
|
|
|
2015-02-11 06:17:18 +00:00
|
|
|
if (!EC_POINT_set_affine_coordinates_GFp(group, point, x, y, 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
|
|
|
|
|
|
|
ret = 1;
|
|
|
|
|
|
|
|
err:
|
|
|
|
BN_CTX_end(ctx);
|
2015-04-22 20:08:19 +01:00
|
|
|
BN_CTX_free(new_ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
return ret;
|
|
|
|
}
|
|
|
|
|
|
|
|
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
|
|
|
|
EC_POINT *point, const BIGNUM *x,
|
|
|
|
int y_bit, BN_CTX *ctx) {
|
|
|
|
if (group->meth != point->meth) {
|
2015-06-29 05:28:17 +01:00
|
|
|
OPENSSL_PUT_ERROR(EC, EC_R_INCOMPATIBLE_OBJECTS);
|
2014-06-20 20:00:00 +01:00
|
|
|
return 0;
|
|
|
|
}
|
2015-10-10 01:07:47 +01:00
|
|
|
return ec_GFp_simple_set_compressed_coordinates(group, point, x, y_bit, ctx);
|
2014-06-20 20:00:00 +01:00
|
|
|
}
|