1172 lines
32 KiB
C
1172 lines
32 KiB
C
/* crypto/ec/ec_lib.c */
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/*
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* Originally written by Bodo Moeller for the OpenSSL project.
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*/
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/* ====================================================================
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* Copyright (c) 1998-2019 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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* Binary polynomial ECC support in OpenSSL originally developed by
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* SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
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*/
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#include <string.h>
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#include <openssl/err.h>
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#include <openssl/opensslv.h>
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#include "ec_lcl.h"
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const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
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/* local function prototypes */
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static int ec_precompute_mont_data(EC_GROUP *group);
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/* functions for EC_GROUP objects */
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EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
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{
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EC_GROUP *ret;
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if (meth == NULL) {
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ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
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return NULL;
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}
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if (meth->group_init == 0) {
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ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return NULL;
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}
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ret = OPENSSL_malloc(sizeof(*ret));
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if (ret == NULL) {
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ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
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return NULL;
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}
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ret->meth = meth;
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ret->extra_data = NULL;
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ret->mont_data = NULL;
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ret->generator = NULL;
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BN_init(&ret->order);
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BN_init(&ret->cofactor);
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ret->curve_name = 0;
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ret->asn1_flag = ~EC_GROUP_ASN1_FLAG_MASK;
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ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
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ret->seed = NULL;
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ret->seed_len = 0;
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if (!meth->group_init(ret)) {
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OPENSSL_free(ret);
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return NULL;
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}
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return ret;
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}
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void EC_GROUP_free(EC_GROUP *group)
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{
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if (!group)
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return;
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if (group->meth->group_finish != 0)
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group->meth->group_finish(group);
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EC_EX_DATA_free_all_data(&group->extra_data);
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if (EC_GROUP_VERSION(group) && group->mont_data)
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BN_MONT_CTX_free(group->mont_data);
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if (group->generator != NULL)
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EC_POINT_free(group->generator);
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BN_free(&group->order);
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BN_free(&group->cofactor);
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if (group->seed)
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OPENSSL_free(group->seed);
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OPENSSL_free(group);
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}
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void EC_GROUP_clear_free(EC_GROUP *group)
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{
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if (!group)
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return;
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if (group->meth->group_clear_finish != 0)
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group->meth->group_clear_finish(group);
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else if (group->meth->group_finish != 0)
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group->meth->group_finish(group);
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EC_EX_DATA_clear_free_all_data(&group->extra_data);
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if (EC_GROUP_VERSION(group) && group->mont_data)
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BN_MONT_CTX_free(group->mont_data);
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if (group->generator != NULL)
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EC_POINT_clear_free(group->generator);
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BN_clear_free(&group->order);
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BN_clear_free(&group->cofactor);
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if (group->seed) {
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OPENSSL_cleanse(group->seed, group->seed_len);
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OPENSSL_free(group->seed);
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}
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OPENSSL_cleanse(group, sizeof(*group));
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OPENSSL_free(group);
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}
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int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
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{
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EC_EXTRA_DATA *d;
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if (dest->meth->group_copy == 0) {
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ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (dest->meth != src->meth) {
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ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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if (dest == src)
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return 1;
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EC_EX_DATA_free_all_data(&dest->extra_data);
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for (d = src->extra_data; d != NULL; d = d->next) {
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void *t = d->dup_func(d->data);
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if (t == NULL)
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return 0;
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if (!EC_EX_DATA_set_data
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(&dest->extra_data, t, d->dup_func, d->free_func,
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d->clear_free_func))
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return 0;
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}
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if (EC_GROUP_VERSION(src) && src->mont_data != NULL) {
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if (dest->mont_data == NULL) {
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dest->mont_data = BN_MONT_CTX_new();
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if (dest->mont_data == NULL)
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return 0;
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}
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if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
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return 0;
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} else {
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/* src->generator == NULL */
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if (EC_GROUP_VERSION(dest) && dest->mont_data != NULL) {
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BN_MONT_CTX_free(dest->mont_data);
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dest->mont_data = NULL;
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}
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}
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if (src->generator != NULL) {
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if (dest->generator == NULL) {
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dest->generator = EC_POINT_new(dest);
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if (dest->generator == NULL)
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return 0;
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}
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if (!EC_POINT_copy(dest->generator, src->generator))
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return 0;
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} else {
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/* src->generator == NULL */
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if (dest->generator != NULL) {
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EC_POINT_clear_free(dest->generator);
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dest->generator = NULL;
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}
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}
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if (!BN_copy(&dest->order, &src->order))
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return 0;
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if (!BN_copy(&dest->cofactor, &src->cofactor))
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return 0;
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dest->curve_name = src->curve_name;
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dest->asn1_flag = src->asn1_flag;
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dest->asn1_form = src->asn1_form;
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if (src->seed) {
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if (dest->seed)
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OPENSSL_free(dest->seed);
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dest->seed = OPENSSL_malloc(src->seed_len);
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if (dest->seed == NULL)
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return 0;
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if (!memcpy(dest->seed, src->seed, src->seed_len))
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return 0;
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dest->seed_len = src->seed_len;
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} else {
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if (dest->seed)
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OPENSSL_free(dest->seed);
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dest->seed = NULL;
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dest->seed_len = 0;
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}
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return dest->meth->group_copy(dest, src);
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}
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EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
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{
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EC_GROUP *t = NULL;
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int ok = 0;
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if (a == NULL)
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return NULL;
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if ((t = EC_GROUP_new(a->meth)) == NULL)
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return (NULL);
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if (!EC_GROUP_copy(t, a))
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goto err;
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ok = 1;
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err:
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if (!ok) {
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if (t)
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EC_GROUP_free(t);
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return NULL;
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} else
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return t;
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}
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const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
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{
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return group->meth;
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}
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int EC_METHOD_get_field_type(const EC_METHOD *meth)
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{
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return meth->field_type;
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}
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int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
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const BIGNUM *order, const BIGNUM *cofactor)
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{
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if (generator == NULL) {
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ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
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return 0;
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}
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if (group->generator == NULL) {
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group->generator = EC_POINT_new(group);
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if (group->generator == NULL)
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return 0;
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}
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if (!EC_POINT_copy(group->generator, generator))
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return 0;
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if (order != NULL) {
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if (!BN_copy(&group->order, order))
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return 0;
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} else
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BN_zero(&group->order);
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if (cofactor != NULL) {
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if (!BN_copy(&group->cofactor, cofactor))
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return 0;
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} else
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BN_zero(&group->cofactor);
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/*-
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* Access to the `mont_data` field of an EC_GROUP struct should always be
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* guarded by an EC_GROUP_VERSION(group) check to avoid OOB accesses, as the
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* group might come from the FIPS module, which does not define the
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* `mont_data` field inside the EC_GROUP structure.
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*/
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if (EC_GROUP_VERSION(group)) {
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/*-
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* Some groups have an order with
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* factors of two, which makes the Montgomery setup fail.
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* |group->mont_data| will be NULL in this case.
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*/
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if (BN_is_odd(&group->order))
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return ec_precompute_mont_data(group);
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BN_MONT_CTX_free(group->mont_data);
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group->mont_data = NULL;
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}
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return 1;
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}
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const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
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{
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return group->generator;
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}
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BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
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{
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return EC_GROUP_VERSION(group) ? group->mont_data : NULL;
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}
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int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
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{
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if (!BN_copy(order, &group->order))
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return 0;
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return !BN_is_zero(order);
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}
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int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
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BN_CTX *ctx)
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{
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if (!BN_copy(cofactor, &group->cofactor))
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return 0;
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return !BN_is_zero(&group->cofactor);
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}
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void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
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{
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group->curve_name = nid;
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}
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int EC_GROUP_get_curve_name(const EC_GROUP *group)
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{
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return group->curve_name;
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}
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void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
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{
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group->asn1_flag &= ~EC_GROUP_ASN1_FLAG_MASK;
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group->asn1_flag |= flag & EC_GROUP_ASN1_FLAG_MASK;
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}
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int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
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{
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return group->asn1_flag & EC_GROUP_ASN1_FLAG_MASK;
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}
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void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
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point_conversion_form_t form)
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{
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group->asn1_form = form;
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}
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point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
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*group)
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{
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return group->asn1_form;
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}
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size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
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{
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if (group->seed) {
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OPENSSL_free(group->seed);
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group->seed = NULL;
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group->seed_len = 0;
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}
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if (!len || !p)
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return 1;
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if ((group->seed = OPENSSL_malloc(len)) == NULL)
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return 0;
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memcpy(group->seed, p, len);
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group->seed_len = len;
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return len;
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}
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unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
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{
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return group->seed;
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}
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size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
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{
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return group->seed_len;
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}
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int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
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const BIGNUM *b, BN_CTX *ctx)
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{
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if (group->meth->group_set_curve == 0) {
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ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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return group->meth->group_set_curve(group, p, a, b, ctx);
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}
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int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
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BIGNUM *b, BN_CTX *ctx)
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{
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if (group->meth->group_get_curve == 0) {
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ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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return group->meth->group_get_curve(group, p, a, b, ctx);
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}
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#ifndef OPENSSL_NO_EC2M
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int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
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const BIGNUM *b, BN_CTX *ctx)
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{
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if (group->meth->group_set_curve == 0) {
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ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
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ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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return group->meth->group_set_curve(group, p, a, b, ctx);
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}
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int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
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BIGNUM *b, BN_CTX *ctx)
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{
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if (group->meth->group_get_curve == 0) {
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ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
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ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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return group->meth->group_get_curve(group, p, a, b, ctx);
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}
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#endif
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int EC_GROUP_get_degree(const EC_GROUP *group)
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{
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if (group->meth->group_get_degree == 0) {
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ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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return group->meth->group_get_degree(group);
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}
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int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
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{
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if (group->meth->group_check_discriminant == 0) {
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ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
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ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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return group->meth->group_check_discriminant(group, ctx);
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}
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int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
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{
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int r = 0;
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BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
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BN_CTX *ctx_new = NULL;
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/* compare the field types */
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if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
|
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EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
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return 1;
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/* compare the curve name (if present in both) */
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if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
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EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
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return 1;
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|
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if (!ctx)
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ctx_new = ctx = BN_CTX_new();
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if (!ctx)
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return -1;
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|
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BN_CTX_start(ctx);
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a1 = BN_CTX_get(ctx);
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a2 = BN_CTX_get(ctx);
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a3 = BN_CTX_get(ctx);
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b1 = BN_CTX_get(ctx);
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b2 = BN_CTX_get(ctx);
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|
b3 = BN_CTX_get(ctx);
|
|
if (!b3) {
|
|
BN_CTX_end(ctx);
|
|
if (ctx_new)
|
|
BN_CTX_free(ctx);
|
|
return -1;
|
|
}
|
|
|
|
/*
|
|
* XXX This approach assumes that the external representation of curves
|
|
* over the same field type is the same.
|
|
*/
|
|
if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
|
|
!b->meth->group_get_curve(b, b1, b2, b3, ctx))
|
|
r = 1;
|
|
|
|
if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
|
|
r = 1;
|
|
|
|
/* XXX EC_POINT_cmp() assumes that the methods are equal */
|
|
if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
|
|
EC_GROUP_get0_generator(b), ctx))
|
|
r = 1;
|
|
|
|
if (!r) {
|
|
/* compare the order and cofactor */
|
|
if (!EC_GROUP_get_order(a, a1, ctx) ||
|
|
!EC_GROUP_get_order(b, b1, ctx) ||
|
|
!EC_GROUP_get_cofactor(a, a2, ctx) ||
|
|
!EC_GROUP_get_cofactor(b, b2, ctx)) {
|
|
BN_CTX_end(ctx);
|
|
if (ctx_new)
|
|
BN_CTX_free(ctx);
|
|
return -1;
|
|
}
|
|
if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
|
|
r = 1;
|
|
}
|
|
|
|
BN_CTX_end(ctx);
|
|
if (ctx_new)
|
|
BN_CTX_free(ctx);
|
|
|
|
return r;
|
|
}
|
|
|
|
/* this has 'package' visibility */
|
|
int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
|
|
void *(*dup_func) (void *),
|
|
void (*free_func) (void *),
|
|
void (*clear_free_func) (void *))
|
|
{
|
|
EC_EXTRA_DATA *d;
|
|
|
|
if (ex_data == NULL)
|
|
return 0;
|
|
|
|
for (d = *ex_data; d != NULL; d = d->next) {
|
|
if (d->dup_func == dup_func && d->free_func == free_func
|
|
&& d->clear_free_func == clear_free_func) {
|
|
ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
|
|
return 0;
|
|
}
|
|
}
|
|
|
|
if (data == NULL)
|
|
/* no explicit entry needed */
|
|
return 1;
|
|
|
|
d = OPENSSL_malloc(sizeof(*d));
|
|
if (d == NULL)
|
|
return 0;
|
|
|
|
d->data = data;
|
|
d->dup_func = dup_func;
|
|
d->free_func = free_func;
|
|
d->clear_free_func = clear_free_func;
|
|
|
|
d->next = *ex_data;
|
|
*ex_data = d;
|
|
|
|
return 1;
|
|
}
|
|
|
|
/* this has 'package' visibility */
|
|
void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
|
|
void *(*dup_func) (void *),
|
|
void (*free_func) (void *),
|
|
void (*clear_free_func) (void *))
|
|
{
|
|
const EC_EXTRA_DATA *d;
|
|
|
|
for (d = ex_data; d != NULL; d = d->next) {
|
|
if (d->dup_func == dup_func && d->free_func == free_func
|
|
&& d->clear_free_func == clear_free_func)
|
|
return d->data;
|
|
}
|
|
|
|
return NULL;
|
|
}
|
|
|
|
/* this has 'package' visibility */
|
|
void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
|
|
void *(*dup_func) (void *),
|
|
void (*free_func) (void *),
|
|
void (*clear_free_func) (void *))
|
|
{
|
|
EC_EXTRA_DATA **p;
|
|
|
|
if (ex_data == NULL)
|
|
return;
|
|
|
|
for (p = ex_data; *p != NULL; p = &((*p)->next)) {
|
|
if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
|
|
&& (*p)->clear_free_func == clear_free_func) {
|
|
EC_EXTRA_DATA *next = (*p)->next;
|
|
|
|
(*p)->free_func((*p)->data);
|
|
OPENSSL_free(*p);
|
|
|
|
*p = next;
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
|
|
/* this has 'package' visibility */
|
|
void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
|
|
void *(*dup_func) (void *),
|
|
void (*free_func) (void *),
|
|
void (*clear_free_func) (void *))
|
|
{
|
|
EC_EXTRA_DATA **p;
|
|
|
|
if (ex_data == NULL)
|
|
return;
|
|
|
|
for (p = ex_data; *p != NULL; p = &((*p)->next)) {
|
|
if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
|
|
&& (*p)->clear_free_func == clear_free_func) {
|
|
EC_EXTRA_DATA *next = (*p)->next;
|
|
|
|
(*p)->clear_free_func((*p)->data);
|
|
OPENSSL_free(*p);
|
|
|
|
*p = next;
|
|
return;
|
|
}
|
|
}
|
|
}
|
|
|
|
/* this has 'package' visibility */
|
|
void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
|
|
{
|
|
EC_EXTRA_DATA *d;
|
|
|
|
if (ex_data == NULL)
|
|
return;
|
|
|
|
d = *ex_data;
|
|
while (d) {
|
|
EC_EXTRA_DATA *next = d->next;
|
|
|
|
d->free_func(d->data);
|
|
OPENSSL_free(d);
|
|
|
|
d = next;
|
|
}
|
|
*ex_data = NULL;
|
|
}
|
|
|
|
/* this has 'package' visibility */
|
|
void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
|
|
{
|
|
EC_EXTRA_DATA *d;
|
|
|
|
if (ex_data == NULL)
|
|
return;
|
|
|
|
d = *ex_data;
|
|
while (d) {
|
|
EC_EXTRA_DATA *next = d->next;
|
|
|
|
d->clear_free_func(d->data);
|
|
OPENSSL_free(d);
|
|
|
|
d = next;
|
|
}
|
|
*ex_data = NULL;
|
|
}
|
|
|
|
/* functions for EC_POINT objects */
|
|
|
|
EC_POINT *EC_POINT_new(const EC_GROUP *group)
|
|
{
|
|
EC_POINT *ret;
|
|
|
|
if (group == NULL) {
|
|
ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
|
|
return NULL;
|
|
}
|
|
if (group->meth->point_init == 0) {
|
|
ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return NULL;
|
|
}
|
|
|
|
ret = OPENSSL_malloc(sizeof(*ret));
|
|
if (ret == NULL) {
|
|
ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
|
|
return NULL;
|
|
}
|
|
|
|
ret->meth = group->meth;
|
|
|
|
if (!ret->meth->point_init(ret)) {
|
|
OPENSSL_free(ret);
|
|
return NULL;
|
|
}
|
|
|
|
return ret;
|
|
}
|
|
|
|
void EC_POINT_free(EC_POINT *point)
|
|
{
|
|
if (!point)
|
|
return;
|
|
|
|
if (point->meth->point_finish != 0)
|
|
point->meth->point_finish(point);
|
|
OPENSSL_free(point);
|
|
}
|
|
|
|
void EC_POINT_clear_free(EC_POINT *point)
|
|
{
|
|
if (!point)
|
|
return;
|
|
|
|
if (point->meth->point_clear_finish != 0)
|
|
point->meth->point_clear_finish(point);
|
|
else if (point->meth->point_finish != 0)
|
|
point->meth->point_finish(point);
|
|
OPENSSL_cleanse(point, sizeof(*point));
|
|
OPENSSL_free(point);
|
|
}
|
|
|
|
int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
|
|
{
|
|
if (dest->meth->point_copy == 0) {
|
|
ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (dest->meth != src->meth) {
|
|
ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
if (dest == src)
|
|
return 1;
|
|
return dest->meth->point_copy(dest, src);
|
|
}
|
|
|
|
EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
|
|
{
|
|
EC_POINT *t;
|
|
int r;
|
|
|
|
if (a == NULL)
|
|
return NULL;
|
|
|
|
t = EC_POINT_new(group);
|
|
if (t == NULL)
|
|
return (NULL);
|
|
r = EC_POINT_copy(t, a);
|
|
if (!r) {
|
|
EC_POINT_free(t);
|
|
return NULL;
|
|
} else
|
|
return t;
|
|
}
|
|
|
|
const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
|
|
{
|
|
return point->meth;
|
|
}
|
|
|
|
int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
|
|
{
|
|
if (group->meth->point_set_to_infinity == 0) {
|
|
ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->point_set_to_infinity(group, point);
|
|
}
|
|
|
|
int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
|
|
EC_POINT *point, const BIGNUM *x,
|
|
const BIGNUM *y, const BIGNUM *z,
|
|
BN_CTX *ctx)
|
|
{
|
|
if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
|
|
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
|
|
EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
|
|
y, z, ctx);
|
|
}
|
|
|
|
int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
|
|
const EC_POINT *point, BIGNUM *x,
|
|
BIGNUM *y, BIGNUM *z,
|
|
BN_CTX *ctx)
|
|
{
|
|
if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
|
|
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
|
|
EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
|
|
y, z, ctx);
|
|
}
|
|
|
|
int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
|
|
EC_POINT *point, const BIGNUM *x,
|
|
const BIGNUM *y, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->point_set_affine_coordinates == 0) {
|
|
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
|
|
EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
|
|
return 0;
|
|
|
|
if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
|
|
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
|
|
EC_R_POINT_IS_NOT_ON_CURVE);
|
|
return 0;
|
|
}
|
|
return 1;
|
|
}
|
|
|
|
#ifndef OPENSSL_NO_EC2M
|
|
int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
|
|
EC_POINT *point, const BIGNUM *x,
|
|
const BIGNUM *y, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->point_set_affine_coordinates == 0) {
|
|
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
|
|
EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
|
|
return 0;
|
|
|
|
if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
|
|
ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
|
|
EC_R_POINT_IS_NOT_ON_CURVE);
|
|
return 0;
|
|
}
|
|
return 1;
|
|
}
|
|
#endif
|
|
|
|
int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
|
|
const EC_POINT *point, BIGNUM *x,
|
|
BIGNUM *y, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->point_get_affine_coordinates == 0) {
|
|
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
|
|
EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
|
|
}
|
|
|
|
#ifndef OPENSSL_NO_EC2M
|
|
int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
|
|
const EC_POINT *point, BIGNUM *x,
|
|
BIGNUM *y, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->point_get_affine_coordinates == 0) {
|
|
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
|
|
EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
|
|
}
|
|
#endif
|
|
|
|
int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
|
|
const EC_POINT *b, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->add == 0) {
|
|
ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if ((group->meth != r->meth) || (r->meth != a->meth)
|
|
|| (a->meth != b->meth)) {
|
|
ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->add(group, r, a, b, ctx);
|
|
}
|
|
|
|
int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
|
|
BN_CTX *ctx)
|
|
{
|
|
if (group->meth->dbl == 0) {
|
|
ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if ((group->meth != r->meth) || (r->meth != a->meth)) {
|
|
ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->dbl(group, r, a, ctx);
|
|
}
|
|
|
|
int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->invert == 0) {
|
|
ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != a->meth) {
|
|
ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->invert(group, a, ctx);
|
|
}
|
|
|
|
int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
|
|
{
|
|
if (group->meth->is_at_infinity == 0) {
|
|
ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
|
|
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->is_at_infinity(group, point);
|
|
}
|
|
|
|
/*
|
|
* Check whether an EC_POINT is on the curve or not. Note that the return
|
|
* value for this function should NOT be treated as a boolean. Return values:
|
|
* 1: The point is on the curve
|
|
* 0: The point is not on the curve
|
|
* -1: An error occurred
|
|
*/
|
|
int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
|
|
BN_CTX *ctx)
|
|
{
|
|
if (group->meth->is_on_curve == 0) {
|
|
ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->is_on_curve(group, point, ctx);
|
|
}
|
|
|
|
int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
|
|
BN_CTX *ctx)
|
|
{
|
|
if (group->meth->point_cmp == 0) {
|
|
ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return -1;
|
|
}
|
|
if ((group->meth != a->meth) || (a->meth != b->meth)) {
|
|
ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return -1;
|
|
}
|
|
return group->meth->point_cmp(group, a, b, ctx);
|
|
}
|
|
|
|
int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->make_affine == 0) {
|
|
ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth) {
|
|
ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->make_affine(group, point, ctx);
|
|
}
|
|
|
|
int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
|
|
EC_POINT *points[], BN_CTX *ctx)
|
|
{
|
|
size_t i;
|
|
|
|
if (group->meth->points_make_affine == 0) {
|
|
ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
for (i = 0; i < num; i++) {
|
|
if (group->meth != points[i]->meth) {
|
|
ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
}
|
|
return group->meth->points_make_affine(group, num, points, ctx);
|
|
}
|
|
|
|
/*
|
|
* Functions for point multiplication. If group->meth->mul is 0, we use the
|
|
* wNAF-based implementations in ec_mult.c; otherwise we dispatch through
|
|
* methods.
|
|
*/
|
|
|
|
int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
|
|
size_t num, const EC_POINT *points[],
|
|
const BIGNUM *scalars[], BN_CTX *ctx)
|
|
{
|
|
if (group->meth->mul == 0)
|
|
/* use default */
|
|
return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
|
|
|
|
return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
|
|
}
|
|
|
|
int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
|
|
const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
|
|
{
|
|
/* just a convenient interface to EC_POINTs_mul() */
|
|
|
|
const EC_POINT *points[1];
|
|
const BIGNUM *scalars[1];
|
|
|
|
points[0] = point;
|
|
scalars[0] = p_scalar;
|
|
|
|
return EC_POINTs_mul(group, r, g_scalar,
|
|
(point != NULL
|
|
&& p_scalar != NULL), points, scalars, ctx);
|
|
}
|
|
|
|
int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->mul == 0)
|
|
/* use default */
|
|
return ec_wNAF_precompute_mult(group, ctx);
|
|
|
|
if (group->meth->precompute_mult != 0)
|
|
return group->meth->precompute_mult(group, ctx);
|
|
else
|
|
return 1; /* nothing to do, so report success */
|
|
}
|
|
|
|
int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
|
|
{
|
|
if (group->meth->mul == 0)
|
|
/* use default */
|
|
return ec_wNAF_have_precompute_mult(group);
|
|
|
|
if (group->meth->have_precompute_mult != 0)
|
|
return group->meth->have_precompute_mult(group);
|
|
else
|
|
return 0; /* cannot tell whether precomputation has
|
|
* been performed */
|
|
}
|
|
|
|
/*-
|
|
* ec_precompute_mont_data sets |group->mont_data| from |group->order| and
|
|
* returns one on success. On error it returns zero.
|
|
*
|
|
* Note: this function must be called only after verifying that
|
|
* EC_GROUP_VERSION(group) returns true.
|
|
* The reason for this is that access to the `mont_data` field of an EC_GROUP
|
|
* struct should always be guarded by an EC_GROUP_VERSION(group) check to avoid
|
|
* OOB accesses, as the group might come from the FIPS module, which does not
|
|
* define the `mont_data` field inside the EC_GROUP structure.
|
|
*/
|
|
static
|
|
int ec_precompute_mont_data(EC_GROUP *group)
|
|
{
|
|
BN_CTX *ctx = BN_CTX_new();
|
|
int ret = 0;
|
|
|
|
if (group->mont_data) {
|
|
BN_MONT_CTX_free(group->mont_data);
|
|
group->mont_data = NULL;
|
|
}
|
|
|
|
if (ctx == NULL)
|
|
goto err;
|
|
|
|
group->mont_data = BN_MONT_CTX_new();
|
|
if (!group->mont_data)
|
|
goto err;
|
|
|
|
if (!BN_MONT_CTX_set(group->mont_data, &group->order, ctx)) {
|
|
BN_MONT_CTX_free(group->mont_data);
|
|
group->mont_data = NULL;
|
|
goto err;
|
|
}
|
|
|
|
ret = 1;
|
|
|
|
err:
|
|
|
|
if (ctx)
|
|
BN_CTX_free(ctx);
|
|
return ret;
|
|
}
|