-/* crypto/ec/ec_lib.c */
/*
- * Originally written by Bodo Moeller for the OpenSSL project.
- */
-/* ====================================================================
- * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions
- * are met:
- *
- * 1. Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- *
- * 2. Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in
- * the documentation and/or other materials provided with the
- * distribution.
- *
- * 3. All advertising materials mentioning features or use of this
- * software must display the following acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
- *
- * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
- * endorse or promote products derived from this software without
- * prior written permission. For written permission, please contact
- * openssl-core@openssl.org.
- *
- * 5. Products derived from this software may not be called "OpenSSL"
- * nor may "OpenSSL" appear in their names without prior written
- * permission of the OpenSSL Project.
- *
- * 6. Redistributions of any form whatsoever must retain the following
- * acknowledgment:
- * "This product includes software developed by the OpenSSL Project
- * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
- *
- * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
- * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
- * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
- * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
- * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
- * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
- * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
- * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
- * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
- * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
- * OF THE POSSIBILITY OF SUCH DAMAGE.
- * ====================================================================
- *
- * This product includes cryptographic software written by Eric Young
- * (eay@cryptsoft.com). This product includes software written by Tim
- * Hudson (tjh@cryptsoft.com).
+ * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
+ * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
*
+ * Licensed under the Apache License 2.0 (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
*/
-/* ====================================================================
- * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
- * Binary polynomial ECC support in OpenSSL originally developed by
- * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
+
+/*
+ * ECDSA low level APIs are deprecated for public use, but still ok for
+ * internal use.
*/
+#include "internal/deprecated.h"
#include <string.h>
#include <openssl/err.h>
#include <openssl/opensslv.h>
-#include "ec_lcl.h"
-
-const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
+#include "ec_local.h"
/* functions for EC_GROUP objects */
-EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
+EC_GROUP *EC_GROUP_new_ex(OPENSSL_CTX *libctx, const EC_METHOD *meth)
{
EC_GROUP *ret;
if (meth == NULL) {
- ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
+ ECerr(EC_F_EC_GROUP_NEW_EX, EC_R_SLOT_FULL);
return NULL;
}
if (meth->group_init == 0) {
- ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ ECerr(EC_F_EC_GROUP_NEW_EX, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return NULL;
}
- ret = OPENSSL_malloc(sizeof *ret);
+ ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL) {
- ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
+ ECerr(EC_F_EC_GROUP_NEW_EX, ERR_R_MALLOC_FAILURE);
return NULL;
}
+ ret->libctx = libctx;
ret->meth = meth;
-
- ret->extra_data = NULL;
- ret->mont_data = NULL;
-
- ret->generator = NULL;
- ret->order = BN_new();
- ret->cofactor = NULL;
- if (!ret->order)
- goto err;
- ret->cofactor = BN_new();
- if (!ret->cofactor)
- goto err;
-
- ret->curve_name = 0;
+ if ((ret->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
+ ret->order = BN_new();
+ if (ret->order == NULL)
+ goto err;
+ ret->cofactor = BN_new();
+ if (ret->cofactor == NULL)
+ goto err;
+ }
ret->asn1_flag = OPENSSL_EC_NAMED_CURVE;
ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
-
- ret->seed = NULL;
- ret->seed_len = 0;
-
if (!meth->group_init(ret))
goto err;
-
return ret;
+
err:
BN_free(ret->order);
BN_free(ret->cofactor);
return NULL;
}
+#ifndef FIPS_MODULE
+EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
+{
+ return EC_GROUP_new_ex(NULL, meth);
+}
+#endif
+
+void EC_pre_comp_free(EC_GROUP *group)
+{
+ switch (group->pre_comp_type) {
+ case PCT_none:
+ break;
+ case PCT_nistz256:
+#ifdef ECP_NISTZ256_ASM
+ EC_nistz256_pre_comp_free(group->pre_comp.nistz256);
+#endif
+ break;
+#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
+ case PCT_nistp224:
+ EC_nistp224_pre_comp_free(group->pre_comp.nistp224);
+ break;
+ case PCT_nistp256:
+ EC_nistp256_pre_comp_free(group->pre_comp.nistp256);
+ break;
+ case PCT_nistp521:
+ EC_nistp521_pre_comp_free(group->pre_comp.nistp521);
+ break;
+#else
+ case PCT_nistp224:
+ case PCT_nistp256:
+ case PCT_nistp521:
+ break;
+#endif
+ case PCT_ec:
+ EC_ec_pre_comp_free(group->pre_comp.ec);
+ break;
+ }
+ group->pre_comp.ec = NULL;
+}
+
void EC_GROUP_free(EC_GROUP *group)
{
if (!group)
if (group->meth->group_finish != 0)
group->meth->group_finish(group);
- EC_EX_DATA_free_all_data(&group->extra_data);
-
+ EC_pre_comp_free(group);
BN_MONT_CTX_free(group->mont_data);
-
EC_POINT_free(group->generator);
BN_free(group->order);
BN_free(group->cofactor);
-
- if (group->seed)
- OPENSSL_free(group->seed);
-
+ OPENSSL_free(group->seed);
OPENSSL_free(group);
}
+#ifndef OPENSSL_NO_DEPRECATED_3_0
void EC_GROUP_clear_free(EC_GROUP *group)
{
if (!group)
else if (group->meth->group_finish != 0)
group->meth->group_finish(group);
- EC_EX_DATA_clear_free_all_data(&group->extra_data);
-
+ EC_pre_comp_free(group);
BN_MONT_CTX_free(group->mont_data);
-
EC_POINT_clear_free(group->generator);
BN_clear_free(group->order);
BN_clear_free(group->cofactor);
OPENSSL_clear_free(group->seed, group->seed_len);
- OPENSSL_clear_free(group, sizeof *group);
+ OPENSSL_clear_free(group, sizeof(*group));
}
+#endif
int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
{
- EC_EXTRA_DATA *d;
-
if (dest->meth->group_copy == 0) {
ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
if (dest == src)
return 1;
- EC_EX_DATA_free_all_data(&dest->extra_data);
-
- for (d = src->extra_data; d != NULL; d = d->next) {
- void *t = d->dup_func(d->data);
+ dest->libctx = src->libctx;
+ dest->curve_name = src->curve_name;
- if (t == NULL)
- return 0;
- if (!EC_EX_DATA_set_data
- (&dest->extra_data, t, d->dup_func, d->free_func,
- d->clear_free_func))
- return 0;
+ /* Copy precomputed */
+ dest->pre_comp_type = src->pre_comp_type;
+ switch (src->pre_comp_type) {
+ case PCT_none:
+ dest->pre_comp.ec = NULL;
+ break;
+ case PCT_nistz256:
+#ifdef ECP_NISTZ256_ASM
+ dest->pre_comp.nistz256 = EC_nistz256_pre_comp_dup(src->pre_comp.nistz256);
+#endif
+ break;
+#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
+ case PCT_nistp224:
+ dest->pre_comp.nistp224 = EC_nistp224_pre_comp_dup(src->pre_comp.nistp224);
+ break;
+ case PCT_nistp256:
+ dest->pre_comp.nistp256 = EC_nistp256_pre_comp_dup(src->pre_comp.nistp256);
+ break;
+ case PCT_nistp521:
+ dest->pre_comp.nistp521 = EC_nistp521_pre_comp_dup(src->pre_comp.nistp521);
+ break;
+#else
+ case PCT_nistp224:
+ case PCT_nistp256:
+ case PCT_nistp521:
+ break;
+#endif
+ case PCT_ec:
+ dest->pre_comp.ec = EC_ec_pre_comp_dup(src->pre_comp.ec);
+ break;
}
if (src->mont_data != NULL) {
dest->generator = NULL;
}
- if (!BN_copy(dest->order, src->order))
- return 0;
- if (!BN_copy(dest->cofactor, src->cofactor))
- return 0;
+ if ((src->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
+ if (!BN_copy(dest->order, src->order))
+ return 0;
+ if (!BN_copy(dest->cofactor, src->cofactor))
+ return 0;
+ }
- dest->curve_name = src->curve_name;
dest->asn1_flag = src->asn1_flag;
dest->asn1_form = src->asn1_form;
if (src->seed) {
OPENSSL_free(dest->seed);
- dest->seed = OPENSSL_malloc(src->seed_len);
- if (dest->seed == NULL)
+ if ((dest->seed = OPENSSL_malloc(src->seed_len)) == NULL) {
+ ECerr(EC_F_EC_GROUP_COPY, ERR_R_MALLOC_FAILURE);
return 0;
+ }
if (!memcpy(dest->seed, src->seed, src->seed_len))
return 0;
dest->seed_len = src->seed_len;
if (a == NULL)
return NULL;
- if ((t = EC_GROUP_new(a->meth)) == NULL)
- return (NULL);
+ if ((t = EC_GROUP_new_ex(a->libctx, a->meth)) == NULL)
+ return NULL;
if (!EC_GROUP_copy(t, a))
goto err;
return meth->field_type;
}
+static int ec_precompute_mont_data(EC_GROUP *);
+
+/*-
+ * Try computing cofactor from the generator order (n) and field cardinality (q).
+ * This works for all curves of cryptographic interest.
+ *
+ * Hasse thm: q + 1 - 2*sqrt(q) <= n*h <= q + 1 + 2*sqrt(q)
+ * h_min = (q + 1 - 2*sqrt(q))/n
+ * h_max = (q + 1 + 2*sqrt(q))/n
+ * h_max - h_min = 4*sqrt(q)/n
+ * So if n > 4*sqrt(q) holds, there is only one possible value for h:
+ * h = \lfloor (h_min + h_max)/2 \rceil = \lfloor (q + 1)/n \rceil
+ *
+ * Otherwise, zero cofactor and return success.
+ */
+static int ec_guess_cofactor(EC_GROUP *group) {
+ int ret = 0;
+ BN_CTX *ctx = NULL;
+ BIGNUM *q = NULL;
+
+ /*-
+ * If the cofactor is too large, we cannot guess it.
+ * The RHS of below is a strict overestimate of lg(4 * sqrt(q))
+ */
+ if (BN_num_bits(group->order) <= (BN_num_bits(group->field) + 1) / 2 + 3) {
+ /* default to 0 */
+ BN_zero(group->cofactor);
+ /* return success */
+ return 1;
+ }
+
+ if ((ctx = BN_CTX_new_ex(group->libctx)) == NULL)
+ return 0;
+
+ BN_CTX_start(ctx);
+ if ((q = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ /* set q = 2**m for binary fields; q = p otherwise */
+ if (group->meth->field_type == NID_X9_62_characteristic_two_field) {
+ BN_zero(q);
+ if (!BN_set_bit(q, BN_num_bits(group->field) - 1))
+ goto err;
+ } else {
+ if (!BN_copy(q, group->field))
+ goto err;
+ }
+
+ /* compute h = \lfloor (q + 1)/n \rceil = \lfloor (q + 1 + n/2)/n \rfloor */
+ if (!BN_rshift1(group->cofactor, group->order) /* n/2 */
+ || !BN_add(group->cofactor, group->cofactor, q) /* q + n/2 */
+ /* q + 1 + n/2 */
+ || !BN_add(group->cofactor, group->cofactor, BN_value_one())
+ /* (q + 1 + n/2)/n */
+ || !BN_div(group->cofactor, NULL, group->cofactor, group->order, ctx))
+ goto err;
+ ret = 1;
+ err:
+ BN_CTX_end(ctx);
+ BN_CTX_free(ctx);
+ return ret;
+}
+
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
const BIGNUM *order, const BIGNUM *cofactor)
{
return 0;
}
+ /* require group->field >= 1 */
+ if (group->field == NULL || BN_is_zero(group->field)
+ || BN_is_negative(group->field)) {
+ ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_INVALID_FIELD);
+ return 0;
+ }
+
+ /*-
+ * - require order >= 1
+ * - enforce upper bound due to Hasse thm: order can be no more than one bit
+ * longer than field cardinality
+ */
+ if (order == NULL || BN_is_zero(order) || BN_is_negative(order)
+ || BN_num_bits(order) > BN_num_bits(group->field) + 1) {
+ ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_INVALID_GROUP_ORDER);
+ return 0;
+ }
+
+ /*-
+ * Unfortunately the cofactor is an optional field in many standards.
+ * Internally, the lib uses 0 cofactor as a marker for "unknown cofactor".
+ * So accept cofactor == NULL or cofactor >= 0.
+ */
+ if (cofactor != NULL && BN_is_negative(cofactor)) {
+ ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_UNKNOWN_COFACTOR);
+ return 0;
+ }
+
if (group->generator == NULL) {
group->generator = EC_POINT_new(group);
if (group->generator == NULL)
if (!EC_POINT_copy(group->generator, generator))
return 0;
- if (order != NULL) {
- if (!BN_copy(group->order, order))
- return 0;
- } else
- BN_zero(group->order);
+ if (!BN_copy(group->order, order))
+ return 0;
- if (cofactor != NULL) {
+ /* Either take the provided positive cofactor, or try to compute it */
+ if (cofactor != NULL && !BN_is_zero(cofactor)) {
if (!BN_copy(group->cofactor, cofactor))
return 0;
- } else
+ } else if (!ec_guess_cofactor(group)) {
BN_zero(group->cofactor);
+ return 0;
+ }
/*
- * We ignore the return value because some groups have an order with
+ * Some groups have an order with
* factors of two, which makes the Montgomery setup fail.
* |group->mont_data| will be NULL in this case.
*/
- ec_precompute_mont_data(group);
+ if (BN_is_odd(group->order)) {
+ return ec_precompute_mont_data(group);
+ }
+ BN_MONT_CTX_free(group->mont_data);
+ group->mont_data = NULL;
return 1;
}
int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
{
+ if (group->order == NULL)
+ return 0;
if (!BN_copy(order, group->order))
return 0;
return !BN_is_zero(order);
}
+const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group)
+{
+ return group->order;
+}
+
+int EC_GROUP_order_bits(const EC_GROUP *group)
+{
+ return group->meth->group_order_bits(group);
+}
+
int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
BN_CTX *ctx)
{
+
+ if (group->cofactor == NULL)
+ return 0;
if (!BN_copy(cofactor, group->cofactor))
return 0;
return !BN_is_zero(group->cofactor);
}
+const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group)
+{
+ return group->cofactor;
+}
+
void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
{
group->curve_name = nid;
return group->curve_name;
}
+const BIGNUM *EC_GROUP_get0_field(const EC_GROUP *group)
+{
+ return group->field;
+}
+
void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
{
group->asn1_flag = flag;
if (!len || !p)
return 1;
- if ((group->seed = OPENSSL_malloc(len)) == NULL)
+ if ((group->seed = OPENSSL_malloc(len)) == NULL) {
+ ECerr(EC_F_EC_GROUP_SET_SEED, ERR_R_MALLOC_FAILURE);
return 0;
+ }
memcpy(group->seed, p, len);
group->seed_len = len;
return group->seed_len;
}
-int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
- const BIGNUM *b, BN_CTX *ctx)
+int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx)
{
if (group->meth->group_set_curve == 0) {
- ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ ECerr(EC_F_EC_GROUP_SET_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_set_curve(group, p, a, b, ctx);
}
-int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
- BIGNUM *b, BN_CTX *ctx)
+int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
+ BN_CTX *ctx)
{
- if (group->meth->group_get_curve == 0) {
- ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
+ if (group->meth->group_get_curve == NULL) {
+ ECerr(EC_F_EC_GROUP_GET_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
return group->meth->group_get_curve(group, p, a, b, ctx);
}
-#ifndef OPENSSL_NO_EC2M
+#ifndef OPENSSL_NO_DEPRECATED_3_0
+int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx)
+{
+ return EC_GROUP_set_curve(group, p, a, b, ctx);
+}
+
+int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
+ BIGNUM *b, BN_CTX *ctx)
+{
+ return EC_GROUP_get_curve(group, p, a, b, ctx);
+}
+
+# ifndef OPENSSL_NO_EC2M
int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
const BIGNUM *b, BN_CTX *ctx)
{
- if (group->meth->group_set_curve == 0) {
- ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- return group->meth->group_set_curve(group, p, a, b, ctx);
+ return EC_GROUP_set_curve(group, p, a, b, ctx);
}
int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
BIGNUM *b, BN_CTX *ctx)
{
- if (group->meth->group_get_curve == 0) {
- ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
- ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
- return 0;
- }
- return group->meth->group_get_curve(group, p, a, b, ctx);
+ return EC_GROUP_get_curve(group, p, a, b, ctx);
}
+# endif
#endif
int EC_GROUP_get_degree(const EC_GROUP *group)
{
int r = 0;
BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
+#ifndef FIPS_MODULE
BN_CTX *ctx_new = NULL;
+#endif
/* compare the field types */
if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
return 1;
+ if (a->meth->flags & EC_FLAGS_CUSTOM_CURVE)
+ return 0;
- if (!ctx)
+#ifndef FIPS_MODULE
+ if (ctx == NULL)
ctx_new = ctx = BN_CTX_new();
- if (!ctx)
+#endif
+ if (ctx == NULL)
return -1;
BN_CTX_start(ctx);
b1 = BN_CTX_get(ctx);
b2 = BN_CTX_get(ctx);
b3 = BN_CTX_get(ctx);
- if (!b3) {
+ if (b3 == NULL) {
BN_CTX_end(ctx);
+#ifndef FIPS_MODULE
BN_CTX_free(ctx_new);
+#endif
return -1;
}
!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))
+ /* return 1 if the curve parameters are different */
+ if (r || BN_cmp(a1, b1) != 0 || BN_cmp(a2, b2) != 0 || BN_cmp(a3, b3) != 0)
r = 1;
/* XXX EC_POINT_cmp() assumes that the methods are equal */
+ /* return 1 if the generators are different */
if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
- EC_GROUP_get0_generator(b), ctx))
+ EC_GROUP_get0_generator(b), ctx) != 0)
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);
- BN_CTX_free(ctx_new);
- return -1;
+ const BIGNUM *ao, *bo, *ac, *bc;
+ /* compare the orders */
+ ao = EC_GROUP_get0_order(a);
+ bo = EC_GROUP_get0_order(b);
+ if (ao == NULL || bo == NULL) {
+ /* return an error if either order is NULL */
+ r = -1;
+ goto end;
}
- if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
+ if (BN_cmp(ao, bo) != 0) {
+ /* return 1 if orders are different */
r = 1;
+ goto end;
+ }
+ /*
+ * It gets here if the curve parameters and generator matched.
+ * Now check the optional cofactors (if both are present).
+ */
+ ac = EC_GROUP_get0_cofactor(a);
+ bc = EC_GROUP_get0_cofactor(b);
+ /* Returns 1 (mismatch) if both cofactors are specified and different */
+ if (!BN_is_zero(ac) && !BN_is_zero(bc) && BN_cmp(ac, bc) != 0)
+ r = 1;
+ /* Returns 0 if the parameters matched */
}
-
+end:
BN_CTX_end(ctx);
+#ifndef FIPS_MODULE
BN_CTX_free(ctx_new);
-
+#endif
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)
ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
- if (group->meth->point_init == 0) {
+ if (group->meth->point_init == NULL) {
ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return NULL;
}
- ret = OPENSSL_malloc(sizeof *ret);
+ ret = OPENSSL_zalloc(sizeof(*ret));
if (ret == NULL) {
ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
return NULL;
}
ret->meth = group->meth;
+ ret->curve_name = group->curve_name;
if (!ret->meth->point_init(ret)) {
OPENSSL_free(ret);
void EC_POINT_free(EC_POINT *point)
{
- if (!point)
+ if (point == NULL)
return;
if (point->meth->point_finish != 0)
void EC_POINT_clear_free(EC_POINT *point)
{
- if (!point)
+ if (point == NULL)
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_clear_free(point, sizeof *point);
+ OPENSSL_clear_free(point, sizeof(*point));
}
int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
- if (dest->meth != src->meth) {
+ if (dest->meth != src->meth
+ || (dest->curve_name != src->curve_name
+ && dest->curve_name != 0
+ && src->curve_name != 0)) {
ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
t = EC_POINT_new(group);
if (t == NULL)
- return (NULL);
+ return NULL;
r = EC_POINT_copy(t, a);
if (!r) {
EC_POINT_free(t);
return group->meth->point_set_to_infinity(group, point);
}
+#ifndef OPENSSL_NO_DEPRECATED_3_0
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) {
+ if (group->meth->field_type != NID_X9_62_prime_field) {
ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
- if (group->meth != point->meth) {
+ if (!ec_point_is_compat(point, group)) {
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);
+ return ec_GFp_simple_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
}
int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
BIGNUM *y, BIGNUM *z,
BN_CTX *ctx)
{
- if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
+ if (group->meth->field_type != NID_X9_62_prime_field) {
ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
- if (group->meth != point->meth) {
+ if (!ec_point_is_compat(point, group)) {
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);
+ return ec_GFp_simple_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
}
+#endif
-int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
- EC_POINT *point, const BIGNUM *x,
- const BIGNUM *y, BN_CTX *ctx)
+int EC_POINT_set_affine_coordinates(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,
+ if (group->meth->point_set_affine_coordinates == NULL) {
+ ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES,
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);
+ if (!ec_point_is_compat(point, group)) {
+ ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, 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, EC_R_POINT_IS_NOT_ON_CURVE);
return 0;
}
- return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
+ return 1;
+}
+
+#ifndef OPENSSL_NO_DEPRECATED_3_0
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
+ EC_POINT *point, const BIGNUM *x,
+ const BIGNUM *y, BN_CTX *ctx)
+{
+ return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
}
-#ifndef OPENSSL_NO_EC2M
+# 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,
+ return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
+}
+# endif
+#endif
+
+int EC_POINT_get_affine_coordinates(const EC_GROUP *group,
+ const EC_POINT *point, BIGNUM *x, BIGNUM *y,
+ BN_CTX *ctx)
+{
+ if (group->meth->point_get_affine_coordinates == NULL) {
+ ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES,
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);
+ if (!ec_point_is_compat(point, group)) {
+ ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
- return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
+ if (EC_POINT_is_at_infinity(group, point)) {
+ ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY);
+ return 0;
+ }
+ return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
}
-#endif
+#ifndef OPENSSL_NO_DEPRECATED_3_0
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);
+ return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
}
-#ifndef OPENSSL_NO_EC2M
+# 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);
+ return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
}
+# endif
#endif
int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
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)) {
+ if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)
+ || !ec_point_is_compat(b, group)) {
ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
return 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)) {
+ if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)) {
ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
- if (group->meth != a->meth) {
+ if (!ec_point_is_compat(a, group)) {
ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
- if (group->meth != point->meth) {
+ if (!ec_point_is_compat(point, group)) {
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)
{
ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
- if (group->meth != point->meth) {
+ if (!ec_point_is_compat(point, group)) {
ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
return 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)) {
+ if (!ec_point_is_compat(a, group) || !ec_point_is_compat(b, group)) {
ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
return -1;
}
ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
return 0;
}
- if (group->meth != point->meth) {
+ if (!ec_point_is_compat(point, group)) {
ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
return 0;
}
for (i = 0; i < num; i++) {
- if (group->meth != points[i]->meth) {
+ if (!ec_point_is_compat(points[i], group)) {
ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
return 0;
}
* methods.
*/
+#ifndef OPENSSL_NO_DEPRECATED_3_0
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)
+ int ret = 0;
+ size_t i = 0;
+#ifndef FIPS_MODULE
+ BN_CTX *new_ctx = NULL;
+#endif
+
+ if (!ec_point_is_compat(r, group)) {
+ ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+
+ if (scalar == NULL && num == 0)
+ return EC_POINT_set_to_infinity(group, r);
+
+ for (i = 0; i < num; i++) {
+ if (!ec_point_is_compat(points[i], group)) {
+ ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
+ }
+
+#ifndef FIPS_MODULE
+ if (ctx == NULL)
+ ctx = new_ctx = BN_CTX_secure_new();
+#endif
+ if (ctx == NULL) {
+ ECerr(EC_F_EC_POINTS_MUL, ERR_R_INTERNAL_ERROR);
+ return 0;
+ }
+
+ if (group->meth->mul != NULL)
+ ret = group->meth->mul(group, r, scalar, num, points, scalars, ctx);
+ else
/* use default */
- return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
+ ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
- return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
+#ifndef FIPS_MODULE
+ BN_CTX_free(new_ctx);
+#endif
+ return ret;
}
+#endif
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() */
+ int ret = 0;
+#ifndef FIPS_MODULE
+ BN_CTX *new_ctx = NULL;
+#endif
+
+ if (!ec_point_is_compat(r, group)
+ || (point != NULL && !ec_point_is_compat(point, group))) {
+ ECerr(EC_F_EC_POINT_MUL, EC_R_INCOMPATIBLE_OBJECTS);
+ return 0;
+ }
- const EC_POINT *points[1];
- const BIGNUM *scalars[1];
+ if (g_scalar == NULL && p_scalar == NULL)
+ return EC_POINT_set_to_infinity(group, r);
- points[0] = point;
- scalars[0] = p_scalar;
+#ifndef FIPS_MODULE
+ if (ctx == NULL)
+ ctx = new_ctx = BN_CTX_secure_new();
+#endif
+ if (ctx == NULL) {
+ ECerr(EC_F_EC_POINT_MUL, ERR_R_INTERNAL_ERROR);
+ return 0;
+ }
+
+ if (group->meth->mul != NULL)
+ ret = group->meth->mul(group, r, g_scalar, point != NULL
+ && p_scalar != NULL, &point, &p_scalar, ctx);
+ else
+ /* use default */
+ ret = ec_wNAF_mul(group, r, g_scalar, point != NULL
+ && p_scalar != NULL, &point, &p_scalar, ctx);
- return EC_POINTs_mul(group, r, g_scalar,
- (point != NULL
- && p_scalar != NULL), points, scalars, ctx);
+#ifndef FIPS_MODULE
+ BN_CTX_free(new_ctx);
+#endif
+ return ret;
}
+#ifndef OPENSSL_NO_DEPRECATED_3_0
int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
{
if (group->meth->mul == 0)
return 0; /* cannot tell whether precomputation has
* been performed */
}
+#endif
/*
* ec_precompute_mont_data sets |group->mont_data| from |group->order| and
* returns one on success. On error it returns zero.
*/
-int ec_precompute_mont_data(EC_GROUP *group)
+static int ec_precompute_mont_data(EC_GROUP *group)
{
- BN_CTX *ctx = BN_CTX_new();
+ BN_CTX *ctx = BN_CTX_new_ex(group->libctx);
int ret = 0;
BN_MONT_CTX_free(group->mont_data);
goto err;
group->mont_data = BN_MONT_CTX_new();
- if (!group->mont_data)
+ if (group->mont_data == NULL)
goto err;
if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
BN_CTX_free(ctx);
return ret;
}
+
+#ifndef FIPS_MODULE
+int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg)
+{
+ return CRYPTO_set_ex_data(&key->ex_data, idx, arg);
+}
+
+void *EC_KEY_get_ex_data(const EC_KEY *key, int idx)
+{
+ return CRYPTO_get_ex_data(&key->ex_data, idx);
+}
+#endif
+
+int ec_group_simple_order_bits(const EC_GROUP *group)
+{
+ if (group->order == NULL)
+ return 0;
+ return BN_num_bits(group->order);
+}
+
+static int ec_field_inverse_mod_ord(const EC_GROUP *group, BIGNUM *r,
+ const BIGNUM *x, BN_CTX *ctx)
+{
+ BIGNUM *e = NULL;
+ int ret = 0;
+#ifndef FIPS_MODULE
+ BN_CTX *new_ctx = NULL;
+#endif
+
+ if (group->mont_data == NULL)
+ return 0;
+
+#ifndef FIPS_MODULE
+ if (ctx == NULL)
+ ctx = new_ctx = BN_CTX_secure_new();
+#endif
+ if (ctx == NULL)
+ return 0;
+
+ BN_CTX_start(ctx);
+ if ((e = BN_CTX_get(ctx)) == NULL)
+ goto err;
+
+ /*-
+ * We want inverse in constant time, therefore we utilize the fact
+ * order must be prime and use Fermats Little Theorem instead.
+ */
+ if (!BN_set_word(e, 2))
+ goto err;
+ if (!BN_sub(e, group->order, e))
+ goto err;
+ /*-
+ * Exponent e is public.
+ * No need for scatter-gather or BN_FLG_CONSTTIME.
+ */
+ if (!BN_mod_exp_mont(r, x, e, group->order, ctx, group->mont_data))
+ goto err;
+
+ ret = 1;
+
+ err:
+ BN_CTX_end(ctx);
+#ifndef FIPS_MODULE
+ BN_CTX_free(new_ctx);
+#endif
+ return ret;
+}
+
+/*-
+ * Default behavior, if group->meth->field_inverse_mod_ord is NULL:
+ * - When group->order is even, this function returns an error.
+ * - When group->order is otherwise composite, the correctness
+ * of the output is not guaranteed.
+ * - When x is outside the range [1, group->order), the correctness
+ * of the output is not guaranteed.
+ * - Otherwise, this function returns the multiplicative inverse in the
+ * range [1, group->order).
+ *
+ * EC_METHODs must implement their own field_inverse_mod_ord for
+ * other functionality.
+ */
+int ec_group_do_inverse_ord(const EC_GROUP *group, BIGNUM *res,
+ const BIGNUM *x, BN_CTX *ctx)
+{
+ if (group->meth->field_inverse_mod_ord != NULL)
+ return group->meth->field_inverse_mod_ord(group, res, x, ctx);
+ else
+ return ec_field_inverse_mod_ord(group, res, x, ctx);
+}
+
+/*-
+ * Coordinate blinding for EC_POINT.
+ *
+ * The underlying EC_METHOD can optionally implement this function:
+ * underlying implementations should return 0 on errors, or 1 on
+ * success.
+ *
+ * This wrapper returns 1 in case the underlying EC_METHOD does not
+ * support coordinate blinding.
+ */
+int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx)
+{
+ if (group->meth->blind_coordinates == NULL)
+ return 1; /* ignore if not implemented */
+
+ return group->meth->blind_coordinates(group, p, ctx);
+}