48fe4d6233
multiplication of an arbitrary number of points.
646 lines
17 KiB
C
646 lines
17 KiB
C
/* crypto/ec/ec_lib.c */
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/* ====================================================================
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* Copyright (c) 1998-2001 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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#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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static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
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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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{
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ECerr(EC_F_EC_GROUP_NEW, ERR_R_PASSED_NULL_PARAMETER);
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return NULL;
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}
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if (meth->group_init == 0)
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{
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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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{
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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->extra_data_dup_func = 0;
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ret->extra_data_free_func = 0;
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ret->extra_data_clear_free_func = 0;
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if (!meth->group_init(ret))
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{
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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->meth->group_finish != 0)
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group->meth->group_finish(group);
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EC_GROUP_free_extra_data(group);
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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->meth->group_clear_finish != 0)
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group->meth->group_clear_finish(group);
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else if (group->meth != NULL && group->meth->group_finish != 0)
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group->meth->group_finish(group);
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EC_GROUP_clear_free_extra_data(group);
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memset(group, 0, 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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if (dest->meth->group_copy == 0)
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{
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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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{
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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_GROUP_clear_free_extra_data(dest);
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if (src->extra_data_dup_func)
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{
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if (src->extra_data != NULL)
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{
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dest->extra_data = src->extra_data_dup_func(src->extra_data);
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if (dest->extra_data == NULL)
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return 0;
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}
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dest->extra_data_dup_func = src->extra_data_dup_func;
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dest->extra_data_free_func = src->extra_data_free_func;
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dest->extra_data_clear_free_func = src->extra_data_clear_free_func;
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}
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return dest->meth->group_copy(dest, src);
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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_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
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{
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if (group->meth->group_set_curve_GFp == 0)
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{
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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_GFp(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, BIGNUM *b, BN_CTX *ctx)
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{
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if (group->meth->group_get_curve_GFp == 0)
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{
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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_GFp(group, p, a, b, ctx);
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}
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int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
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{
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if (group->meth->group_set_generator == 0)
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{
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ECerr(EC_F_EC_GROUP_SET_GENERATOR, 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_generator(group, generator, order, cofactor);
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}
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EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
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{
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if (group->meth->group_get0_generator == 0)
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{
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ECerr(EC_F_EC_GROUP_GET0_GENERATOR, 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_get0_generator(group);
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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 (group->meth->group_get_order == 0)
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{
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ECerr(EC_F_EC_GROUP_GET_ORDER, 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_order(group, order, ctx);
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}
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int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
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{
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if (group->meth->group_get_cofactor == 0)
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{
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ECerr(EC_F_EC_GROUP_GET_COFACTOR, 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_cofactor(group, cofactor, ctx);
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}
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/* this has 'package' visibility */
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int EC_GROUP_set_extra_data(EC_GROUP *group, void *extra_data, void *(*extra_data_dup_func)(void *),
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void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
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{
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if ((group->extra_data != NULL)
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|| (group->extra_data_dup_func != 0)
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|| (group->extra_data_free_func != 0)
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|| (group->extra_data_clear_free_func != 0))
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{
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ECerr(EC_F_EC_GROUP_SET_EXTRA_DATA, EC_R_SLOT_FULL);
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return 0;
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}
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group->extra_data = extra_data;
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group->extra_data_dup_func = extra_data_dup_func;
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group->extra_data_free_func = extra_data_free_func;
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group->extra_data_clear_free_func = extra_data_clear_free_func;
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return 1;
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}
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/* this has 'package' visibility */
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void *EC_GROUP_get_extra_data(const EC_GROUP *group, void *(*extra_data_dup_func)(void *),
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void (*extra_data_free_func)(void *), void (*extra_data_clear_free_func)(void *))
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{
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if ((group->extra_data_dup_func != extra_data_dup_func)
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|| (group->extra_data_free_func != extra_data_free_func)
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|| (group->extra_data_clear_free_func != extra_data_clear_free_func))
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{
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ECerr(EC_F_EC_GROUP_GET_EXTRA_DATA, EC_R_NO_SUCH_EXTRA_DATA);
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return NULL;
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}
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return group->extra_data;
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}
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/* this has 'package' visibility */
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void EC_GROUP_free_extra_data(EC_GROUP *group)
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{
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if (group->extra_data_free_func)
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group->extra_data_free_func(group->extra_data);
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group->extra_data = NULL;
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group->extra_data_dup_func = 0;
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group->extra_data_free_func = 0;
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group->extra_data_clear_free_func = 0;
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}
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/* this has 'package' visibility */
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void EC_GROUP_clear_free_extra_data(EC_GROUP *group)
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{
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if (group->extra_data_clear_free_func)
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group->extra_data_clear_free_func(group->extra_data);
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else if (group->extra_data_free_func)
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group->extra_data_free_func(group->extra_data);
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group->extra_data = NULL;
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group->extra_data_dup_func = 0;
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group->extra_data_free_func = 0;
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group->extra_data_clear_free_func = 0;
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}
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/* functions for EC_POINT objects */
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EC_POINT *EC_POINT_new(const EC_GROUP *group)
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{
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EC_POINT *ret;
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if (group == NULL)
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{
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ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
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return NULL;
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}
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if (group->meth->point_init == 0)
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{
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ECerr(EC_F_EC_POINT_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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{
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ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
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return NULL;
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}
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ret->meth = group->meth;
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if (!ret->meth->point_init(ret))
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{
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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_POINT_free(EC_POINT *point)
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{
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if (point->meth->point_finish != 0)
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point->meth->point_finish(point);
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OPENSSL_free(point);
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}
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void EC_POINT_clear_free(EC_POINT *point)
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{
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if (point->meth->point_clear_finish != 0)
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point->meth->point_clear_finish(point);
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else if (point->meth != NULL && point->meth->point_finish != 0)
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point->meth->point_finish(point);
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memset(point, 0, sizeof *point);
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OPENSSL_free(point);
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}
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int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
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{
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if (dest->meth->point_copy == 0)
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{
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ECerr(EC_F_EC_POINT_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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{
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ECerr(EC_F_EC_POINT_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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return dest->meth->point_copy(dest, src);
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}
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const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
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{
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return point->meth;
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}
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int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
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{
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if (group->meth->point_set_to_infinity == 0)
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{
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ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (group->meth != point->meth)
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{
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ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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return group->meth->point_set_to_infinity(group, point);
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}
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int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
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const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
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{
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if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
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{
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ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (group->meth != point->meth)
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{
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ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
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}
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int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
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BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
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{
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if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
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{
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ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (group->meth != point->meth)
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{
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ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
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}
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int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
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const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
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{
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if (group->meth->point_set_affine_coordinates_GFp == 0)
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{
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ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (group->meth != point->meth)
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{
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ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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return group->meth->point_set_affine_coordinates_GFp(group, point, x, y, ctx);
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}
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int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
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BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
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{
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if (group->meth->point_get_affine_coordinates_GFp == 0)
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{
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ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (group->meth != point->meth)
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{
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ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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return group->meth->point_get_affine_coordinates_GFp(group, point, x, y, ctx);
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}
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int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
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const BIGNUM *x, int y_bit, BN_CTX *ctx)
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{
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if (group->meth->point_set_compressed_coordinates_GFp == 0)
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{
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ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (group->meth != point->meth)
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{
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ECerr(EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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return group->meth->point_set_compressed_coordinates_GFp(group, point, x, y_bit, ctx);
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}
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size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *point, point_conversion_form_t form,
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unsigned char *buf, size_t len, BN_CTX *ctx)
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{
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if (group->meth->point2oct == 0)
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{
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ECerr(EC_F_EC_POINT_POINT2OCT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
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return 0;
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}
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if (group->meth != point->meth)
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{
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ECerr(EC_F_EC_POINT_POINT2OCT, EC_R_INCOMPATIBLE_OBJECTS);
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|
return 0;
|
|
}
|
|
return group->meth->point2oct(group, point, form, buf, len, ctx);
|
|
}
|
|
|
|
|
|
int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *point,
|
|
const unsigned char *buf, size_t len, BN_CTX *ctx)
|
|
{
|
|
if (group->meth->oct2point == 0)
|
|
{
|
|
ECerr(EC_F_EC_POINT_OCT2POINT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != point->meth)
|
|
{
|
|
ECerr(EC_F_EC_POINT_OCT2POINT, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
return group->meth->oct2point(group, point, buf, len, ctx);
|
|
}
|
|
|
|
|
|
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->dbl == 0)
|
|
{
|
|
ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
|
|
return 0;
|
|
}
|
|
if (group->meth != a->meth)
|
|
{
|
|
ECerr(EC_F_EC_POINT_DBL, 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);
|
|
}
|
|
|
|
|
|
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 0;
|
|
}
|
|
if ((group->meth != a->meth) || (a->meth != b->meth))
|
|
{
|
|
ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
|
|
return 0;
|
|
}
|
|
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);
|
|
}
|