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726 lines
23 KiB
C
726 lines
23 KiB
C
/*
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* Originally written by Bodo Moeller and Nils Larsch for the OpenSSL project.
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*/
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/* ====================================================================
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* Copyright (c) 1998-2007 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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* Portions of this software developed by SUN MICROSYSTEMS, INC.,
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* 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 "internal/cryptlib.h"
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#include "internal/bn_int.h"
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#include "ec_lcl.h"
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/*
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* This file implements the wNAF-based interleaving multi-exponentiation method
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* (<URL:http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#multiexp>);
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* for multiplication with precomputation, we use wNAF splitting
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* (<URL:http://www.informatik.tu-darmstadt.de/TI/Mitarbeiter/moeller.html#fastexp>).
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*/
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/* structure for precomputed multiples of the generator */
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struct ec_pre_comp_st {
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const EC_GROUP *group; /* parent EC_GROUP object */
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size_t blocksize; /* block size for wNAF splitting */
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size_t numblocks; /* max. number of blocks for which we have
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* precomputation */
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size_t w; /* window size */
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EC_POINT **points; /* array with pre-calculated multiples of
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* generator: 'num' pointers to EC_POINT
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* objects followed by a NULL */
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size_t num; /* numblocks * 2^(w-1) */
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int references;
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CRYPTO_RWLOCK *lock;
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};
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static EC_PRE_COMP *ec_pre_comp_new(const EC_GROUP *group)
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{
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EC_PRE_COMP *ret = NULL;
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if (!group)
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return NULL;
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ret = OPENSSL_zalloc(sizeof(*ret));
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if (ret == NULL) {
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ECerr(EC_F_EC_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE);
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return ret;
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}
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ret->group = group;
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ret->blocksize = 8; /* default */
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ret->w = 4; /* default */
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ret->references = 1;
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ret->lock = CRYPTO_THREAD_lock_new();
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if (ret->lock == NULL) {
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ECerr(EC_F_EC_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE);
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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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EC_PRE_COMP *EC_ec_pre_comp_dup(EC_PRE_COMP *pre)
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{
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int i;
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if (pre != NULL)
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CRYPTO_atomic_add(&pre->references, 1, &i, pre->lock);
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return pre;
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}
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void EC_ec_pre_comp_free(EC_PRE_COMP *pre)
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{
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int i;
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if (pre == NULL)
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return;
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CRYPTO_atomic_add(&pre->references, -1, &i, pre->lock);
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REF_PRINT_COUNT("EC_ec", pre);
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if (i > 0)
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return;
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REF_ASSERT_ISNT(i < 0);
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if (pre->points != NULL) {
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EC_POINT **pts;
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for (pts = pre->points; *pts != NULL; pts++)
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EC_POINT_free(*pts);
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OPENSSL_free(pre->points);
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}
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CRYPTO_THREAD_lock_free(pre->lock);
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OPENSSL_free(pre);
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}
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/*
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* TODO: table should be optimised for the wNAF-based implementation,
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* sometimes smaller windows will give better performance (thus the
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* boundaries should be increased)
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*/
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#define EC_window_bits_for_scalar_size(b) \
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((size_t) \
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((b) >= 2000 ? 6 : \
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(b) >= 800 ? 5 : \
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(b) >= 300 ? 4 : \
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(b) >= 70 ? 3 : \
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(b) >= 20 ? 2 : \
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1))
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/*-
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* Compute
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* \sum scalars[i]*points[i],
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* also including
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* scalar*generator
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* in the addition if scalar != NULL
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*/
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int ec_wNAF_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
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size_t num, const EC_POINT *points[], const BIGNUM *scalars[],
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BN_CTX *ctx)
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{
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BN_CTX *new_ctx = NULL;
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const EC_POINT *generator = NULL;
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EC_POINT *tmp = NULL;
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size_t totalnum;
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size_t blocksize = 0, numblocks = 0; /* for wNAF splitting */
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size_t pre_points_per_block = 0;
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size_t i, j;
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int k;
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int r_is_inverted = 0;
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int r_is_at_infinity = 1;
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size_t *wsize = NULL; /* individual window sizes */
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signed char **wNAF = NULL; /* individual wNAFs */
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size_t *wNAF_len = NULL;
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size_t max_len = 0;
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size_t num_val;
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EC_POINT **val = NULL; /* precomputation */
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EC_POINT **v;
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EC_POINT ***val_sub = NULL; /* pointers to sub-arrays of 'val' or
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* 'pre_comp->points' */
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const EC_PRE_COMP *pre_comp = NULL;
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int num_scalar = 0; /* flag: will be set to 1 if 'scalar' must be
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* treated like other scalars, i.e.
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* precomputation is not available */
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int ret = 0;
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if (group->meth != r->meth) {
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ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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if ((scalar == NULL) && (num == 0)) {
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return EC_POINT_set_to_infinity(group, r);
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}
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for (i = 0; i < num; i++) {
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if (group->meth != points[i]->meth) {
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ECerr(EC_F_EC_WNAF_MUL, EC_R_INCOMPATIBLE_OBJECTS);
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return 0;
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}
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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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if (ctx == NULL)
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goto err;
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}
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if (scalar != NULL) {
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generator = EC_GROUP_get0_generator(group);
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if (generator == NULL) {
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ECerr(EC_F_EC_WNAF_MUL, EC_R_UNDEFINED_GENERATOR);
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goto err;
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}
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/* look if we can use precomputed multiples of generator */
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pre_comp = group->pre_comp.ec;
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if (pre_comp && pre_comp->numblocks
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&& (EC_POINT_cmp(group, generator, pre_comp->points[0], ctx) ==
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0)) {
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blocksize = pre_comp->blocksize;
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/*
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* determine maximum number of blocks that wNAF splitting may
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* yield (NB: maximum wNAF length is bit length plus one)
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*/
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numblocks = (BN_num_bits(scalar) / blocksize) + 1;
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/*
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* we cannot use more blocks than we have precomputation for
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*/
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if (numblocks > pre_comp->numblocks)
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numblocks = pre_comp->numblocks;
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pre_points_per_block = (size_t)1 << (pre_comp->w - 1);
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/* check that pre_comp looks sane */
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if (pre_comp->num != (pre_comp->numblocks * pre_points_per_block)) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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} else {
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/* can't use precomputation */
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pre_comp = NULL;
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numblocks = 1;
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num_scalar = 1; /* treat 'scalar' like 'num'-th element of
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* 'scalars' */
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}
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}
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totalnum = num + numblocks;
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wsize = OPENSSL_malloc(totalnum * sizeof wsize[0]);
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wNAF_len = OPENSSL_malloc(totalnum * sizeof wNAF_len[0]);
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wNAF = OPENSSL_malloc((totalnum + 1) * sizeof wNAF[0]); /* includes space
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* for pivot */
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val_sub = OPENSSL_malloc(totalnum * sizeof val_sub[0]);
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/* Ensure wNAF is initialised in case we end up going to err */
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if (wNAF != NULL)
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wNAF[0] = NULL; /* preliminary pivot */
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if (wsize == NULL || wNAF_len == NULL || wNAF == NULL || val_sub == NULL) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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/*
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* num_val will be the total number of temporarily precomputed points
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*/
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num_val = 0;
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for (i = 0; i < num + num_scalar; i++) {
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size_t bits;
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bits = i < num ? BN_num_bits(scalars[i]) : BN_num_bits(scalar);
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wsize[i] = EC_window_bits_for_scalar_size(bits);
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num_val += (size_t)1 << (wsize[i] - 1);
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wNAF[i + 1] = NULL; /* make sure we always have a pivot */
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wNAF[i] =
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bn_compute_wNAF((i < num ? scalars[i] : scalar), wsize[i],
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&wNAF_len[i]);
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if (wNAF[i] == NULL)
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goto err;
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if (wNAF_len[i] > max_len)
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max_len = wNAF_len[i];
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}
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if (numblocks) {
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/* we go here iff scalar != NULL */
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if (pre_comp == NULL) {
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if (num_scalar != 1) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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/* we have already generated a wNAF for 'scalar' */
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} else {
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signed char *tmp_wNAF = NULL;
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size_t tmp_len = 0;
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if (num_scalar != 0) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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/*
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* use the window size for which we have precomputation
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*/
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wsize[num] = pre_comp->w;
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tmp_wNAF = bn_compute_wNAF(scalar, wsize[num], &tmp_len);
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if (!tmp_wNAF)
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goto err;
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if (tmp_len <= max_len) {
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/*
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* One of the other wNAFs is at least as long as the wNAF
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* belonging to the generator, so wNAF splitting will not buy
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* us anything.
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*/
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numblocks = 1;
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totalnum = num + 1; /* don't use wNAF splitting */
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wNAF[num] = tmp_wNAF;
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wNAF[num + 1] = NULL;
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wNAF_len[num] = tmp_len;
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/*
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* pre_comp->points starts with the points that we need here:
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*/
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val_sub[num] = pre_comp->points;
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} else {
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/*
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* don't include tmp_wNAF directly into wNAF array - use wNAF
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* splitting and include the blocks
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*/
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signed char *pp;
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EC_POINT **tmp_points;
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if (tmp_len < numblocks * blocksize) {
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/*
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* possibly we can do with fewer blocks than estimated
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*/
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numblocks = (tmp_len + blocksize - 1) / blocksize;
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if (numblocks > pre_comp->numblocks) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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totalnum = num + numblocks;
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}
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/* split wNAF in 'numblocks' parts */
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pp = tmp_wNAF;
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tmp_points = pre_comp->points;
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for (i = num; i < totalnum; i++) {
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if (i < totalnum - 1) {
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wNAF_len[i] = blocksize;
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if (tmp_len < blocksize) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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tmp_len -= blocksize;
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} else
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/*
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* last block gets whatever is left (this could be
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* more or less than 'blocksize'!)
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*/
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wNAF_len[i] = tmp_len;
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wNAF[i + 1] = NULL;
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wNAF[i] = OPENSSL_malloc(wNAF_len[i]);
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if (wNAF[i] == NULL) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE);
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OPENSSL_free(tmp_wNAF);
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goto err;
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}
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memcpy(wNAF[i], pp, wNAF_len[i]);
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if (wNAF_len[i] > max_len)
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max_len = wNAF_len[i];
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if (*tmp_points == NULL) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
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OPENSSL_free(tmp_wNAF);
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goto err;
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}
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val_sub[i] = tmp_points;
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tmp_points += pre_points_per_block;
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pp += blocksize;
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}
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OPENSSL_free(tmp_wNAF);
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}
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}
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}
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/*
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* All points we precompute now go into a single array 'val'.
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* 'val_sub[i]' is a pointer to the subarray for the i-th point, or to a
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* subarray of 'pre_comp->points' if we already have precomputation.
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*/
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val = OPENSSL_malloc((num_val + 1) * sizeof val[0]);
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if (val == NULL) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_MALLOC_FAILURE);
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goto err;
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}
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val[num_val] = NULL; /* pivot element */
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/* allocate points for precomputation */
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v = val;
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for (i = 0; i < num + num_scalar; i++) {
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val_sub[i] = v;
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for (j = 0; j < ((size_t)1 << (wsize[i] - 1)); j++) {
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*v = EC_POINT_new(group);
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if (*v == NULL)
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goto err;
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v++;
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}
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}
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if (!(v == val + num_val)) {
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ECerr(EC_F_EC_WNAF_MUL, ERR_R_INTERNAL_ERROR);
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goto err;
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}
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if ((tmp = EC_POINT_new(group)) == NULL)
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goto err;
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/*-
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* prepare precomputed values:
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* val_sub[i][0] := points[i]
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* val_sub[i][1] := 3 * points[i]
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* val_sub[i][2] := 5 * points[i]
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* ...
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*/
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for (i = 0; i < num + num_scalar; i++) {
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if (i < num) {
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if (!EC_POINT_copy(val_sub[i][0], points[i]))
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goto err;
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} else {
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if (!EC_POINT_copy(val_sub[i][0], generator))
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goto err;
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}
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if (wsize[i] > 1) {
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if (!EC_POINT_dbl(group, tmp, val_sub[i][0], ctx))
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goto err;
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for (j = 1; j < ((size_t)1 << (wsize[i] - 1)); j++) {
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if (!EC_POINT_add
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(group, val_sub[i][j], val_sub[i][j - 1], tmp, ctx))
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goto err;
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}
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}
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}
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if (!EC_POINTs_make_affine(group, num_val, val, ctx))
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goto err;
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r_is_at_infinity = 1;
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for (k = max_len - 1; k >= 0; k--) {
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if (!r_is_at_infinity) {
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if (!EC_POINT_dbl(group, r, r, ctx))
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goto err;
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}
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for (i = 0; i < totalnum; i++) {
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if (wNAF_len[i] > (size_t)k) {
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int digit = wNAF[i][k];
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int is_neg;
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if (digit) {
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is_neg = digit < 0;
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if (is_neg)
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digit = -digit;
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if (is_neg != r_is_inverted) {
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if (!r_is_at_infinity) {
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if (!EC_POINT_invert(group, r, ctx))
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goto err;
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}
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r_is_inverted = !r_is_inverted;
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}
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/* digit > 0 */
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|
if (r_is_at_infinity) {
|
|
if (!EC_POINT_copy(r, val_sub[i][digit >> 1]))
|
|
goto err;
|
|
r_is_at_infinity = 0;
|
|
} else {
|
|
if (!EC_POINT_add
|
|
(group, r, r, val_sub[i][digit >> 1], ctx))
|
|
goto err;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
if (r_is_at_infinity) {
|
|
if (!EC_POINT_set_to_infinity(group, r))
|
|
goto err;
|
|
} else {
|
|
if (r_is_inverted)
|
|
if (!EC_POINT_invert(group, r, ctx))
|
|
goto err;
|
|
}
|
|
|
|
ret = 1;
|
|
|
|
err:
|
|
BN_CTX_free(new_ctx);
|
|
EC_POINT_free(tmp);
|
|
OPENSSL_free(wsize);
|
|
OPENSSL_free(wNAF_len);
|
|
if (wNAF != NULL) {
|
|
signed char **w;
|
|
|
|
for (w = wNAF; *w != NULL; w++)
|
|
OPENSSL_free(*w);
|
|
|
|
OPENSSL_free(wNAF);
|
|
}
|
|
if (val != NULL) {
|
|
for (v = val; *v != NULL; v++)
|
|
EC_POINT_clear_free(*v);
|
|
|
|
OPENSSL_free(val);
|
|
}
|
|
OPENSSL_free(val_sub);
|
|
return ret;
|
|
}
|
|
|
|
/*-
|
|
* ec_wNAF_precompute_mult()
|
|
* creates an EC_PRE_COMP object with preprecomputed multiples of the generator
|
|
* for use with wNAF splitting as implemented in ec_wNAF_mul().
|
|
*
|
|
* 'pre_comp->points' is an array of multiples of the generator
|
|
* of the following form:
|
|
* points[0] = generator;
|
|
* points[1] = 3 * generator;
|
|
* ...
|
|
* points[2^(w-1)-1] = (2^(w-1)-1) * generator;
|
|
* points[2^(w-1)] = 2^blocksize * generator;
|
|
* points[2^(w-1)+1] = 3 * 2^blocksize * generator;
|
|
* ...
|
|
* points[2^(w-1)*(numblocks-1)-1] = (2^(w-1)) * 2^(blocksize*(numblocks-2)) * generator
|
|
* points[2^(w-1)*(numblocks-1)] = 2^(blocksize*(numblocks-1)) * generator
|
|
* ...
|
|
* points[2^(w-1)*numblocks-1] = (2^(w-1)) * 2^(blocksize*(numblocks-1)) * generator
|
|
* points[2^(w-1)*numblocks] = NULL
|
|
*/
|
|
int ec_wNAF_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
|
|
{
|
|
const EC_POINT *generator;
|
|
EC_POINT *tmp_point = NULL, *base = NULL, **var;
|
|
BN_CTX *new_ctx = NULL;
|
|
const BIGNUM *order;
|
|
size_t i, bits, w, pre_points_per_block, blocksize, numblocks, num;
|
|
EC_POINT **points = NULL;
|
|
EC_PRE_COMP *pre_comp;
|
|
int ret = 0;
|
|
|
|
/* if there is an old EC_PRE_COMP object, throw it away */
|
|
EC_pre_comp_free(group);
|
|
if ((pre_comp = ec_pre_comp_new(group)) == NULL)
|
|
return 0;
|
|
|
|
generator = EC_GROUP_get0_generator(group);
|
|
if (generator == NULL) {
|
|
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR);
|
|
goto err;
|
|
}
|
|
|
|
if (ctx == NULL) {
|
|
ctx = new_ctx = BN_CTX_new();
|
|
if (ctx == NULL)
|
|
goto err;
|
|
}
|
|
|
|
BN_CTX_start(ctx);
|
|
|
|
order = EC_GROUP_get0_order(group);
|
|
if (order == NULL)
|
|
goto err;
|
|
if (BN_is_zero(order)) {
|
|
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER);
|
|
goto err;
|
|
}
|
|
|
|
bits = BN_num_bits(order);
|
|
/*
|
|
* The following parameters mean we precompute (approximately) one point
|
|
* per bit. TBD: The combination 8, 4 is perfect for 160 bits; for other
|
|
* bit lengths, other parameter combinations might provide better
|
|
* efficiency.
|
|
*/
|
|
blocksize = 8;
|
|
w = 4;
|
|
if (EC_window_bits_for_scalar_size(bits) > w) {
|
|
/* let's not make the window too small ... */
|
|
w = EC_window_bits_for_scalar_size(bits);
|
|
}
|
|
|
|
numblocks = (bits + blocksize - 1) / blocksize; /* max. number of blocks
|
|
* to use for wNAF
|
|
* splitting */
|
|
|
|
pre_points_per_block = (size_t)1 << (w - 1);
|
|
num = pre_points_per_block * numblocks; /* number of points to compute
|
|
* and store */
|
|
|
|
points = OPENSSL_malloc(sizeof(*points) * (num + 1));
|
|
if (points == NULL) {
|
|
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE);
|
|
goto err;
|
|
}
|
|
|
|
var = points;
|
|
var[num] = NULL; /* pivot */
|
|
for (i = 0; i < num; i++) {
|
|
if ((var[i] = EC_POINT_new(group)) == NULL) {
|
|
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE);
|
|
goto err;
|
|
}
|
|
}
|
|
|
|
if ((tmp_point = EC_POINT_new(group)) == NULL
|
|
|| (base = EC_POINT_new(group)) == NULL) {
|
|
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE);
|
|
goto err;
|
|
}
|
|
|
|
if (!EC_POINT_copy(base, generator))
|
|
goto err;
|
|
|
|
/* do the precomputation */
|
|
for (i = 0; i < numblocks; i++) {
|
|
size_t j;
|
|
|
|
if (!EC_POINT_dbl(group, tmp_point, base, ctx))
|
|
goto err;
|
|
|
|
if (!EC_POINT_copy(*var++, base))
|
|
goto err;
|
|
|
|
for (j = 1; j < pre_points_per_block; j++, var++) {
|
|
/*
|
|
* calculate odd multiples of the current base point
|
|
*/
|
|
if (!EC_POINT_add(group, *var, tmp_point, *(var - 1), ctx))
|
|
goto err;
|
|
}
|
|
|
|
if (i < numblocks - 1) {
|
|
/*
|
|
* get the next base (multiply current one by 2^blocksize)
|
|
*/
|
|
size_t k;
|
|
|
|
if (blocksize <= 2) {
|
|
ECerr(EC_F_EC_WNAF_PRECOMPUTE_MULT, ERR_R_INTERNAL_ERROR);
|
|
goto err;
|
|
}
|
|
|
|
if (!EC_POINT_dbl(group, base, tmp_point, ctx))
|
|
goto err;
|
|
for (k = 2; k < blocksize; k++) {
|
|
if (!EC_POINT_dbl(group, base, base, ctx))
|
|
goto err;
|
|
}
|
|
}
|
|
}
|
|
|
|
if (!EC_POINTs_make_affine(group, num, points, ctx))
|
|
goto err;
|
|
|
|
pre_comp->group = group;
|
|
pre_comp->blocksize = blocksize;
|
|
pre_comp->numblocks = numblocks;
|
|
pre_comp->w = w;
|
|
pre_comp->points = points;
|
|
points = NULL;
|
|
pre_comp->num = num;
|
|
SETPRECOMP(group, ec, pre_comp);
|
|
pre_comp = NULL;
|
|
ret = 1;
|
|
|
|
err:
|
|
if (ctx != NULL)
|
|
BN_CTX_end(ctx);
|
|
BN_CTX_free(new_ctx);
|
|
EC_ec_pre_comp_free(pre_comp);
|
|
if (points) {
|
|
EC_POINT **p;
|
|
|
|
for (p = points; *p != NULL; p++)
|
|
EC_POINT_free(*p);
|
|
OPENSSL_free(points);
|
|
}
|
|
EC_POINT_free(tmp_point);
|
|
EC_POINT_free(base);
|
|
return ret;
|
|
}
|
|
|
|
int ec_wNAF_have_precompute_mult(const EC_GROUP *group)
|
|
{
|
|
return HAVEPRECOMP(group, ec);
|
|
}
|