1 /* $OpenBSD: ec_lib.c,v 1.19 2015/09/10 15:56:25 jsing Exp $ */
3 * Originally written by Bodo Moeller for the OpenSSL project.
5 /* ====================================================================
6 * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved.
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in
17 * the documentation and/or other materials provided with the
20 * 3. All advertising materials mentioning features or use of this
21 * software must display the following acknowledgment:
22 * "This product includes software developed by the OpenSSL Project
23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26 * endorse or promote products derived from this software without
27 * prior written permission. For written permission, please contact
28 * openssl-core@openssl.org.
30 * 5. Products derived from this software may not be called "OpenSSL"
31 * nor may "OpenSSL" appear in their names without prior written
32 * permission of the OpenSSL Project.
34 * 6. Redistributions of any form whatsoever must retain the following
36 * "This product includes software developed by the OpenSSL Project
37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50 * OF THE POSSIBILITY OF SUCH DAMAGE.
51 * ====================================================================
53 * This product includes cryptographic software written by Eric Young
54 * (eay@cryptsoft.com). This product includes software written by Tim
55 * Hudson (tjh@cryptsoft.com).
58 /* ====================================================================
59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
60 * Binary polynomial ECC support in OpenSSL originally developed by
61 * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
66 #include <openssl/opensslconf.h>
68 #include <openssl/err.h>
69 #include <openssl/opensslv.h>
73 /* functions for EC_GROUP objects */
76 EC_GROUP_new(const EC_METHOD * meth)
81 ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
84 if (meth->group_init == 0) {
85 ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
88 ret = malloc(sizeof *ret);
90 ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
95 ret->extra_data = NULL;
97 ret->generator = NULL;
99 BN_init(&ret->cofactor);
103 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
108 if (!meth->group_init(ret)) {
117 EC_GROUP_free(EC_GROUP * group)
122 if (group->meth->group_finish != 0)
123 group->meth->group_finish(group);
125 EC_EX_DATA_free_all_data(&group->extra_data);
127 EC_POINT_free(group->generator);
128 BN_free(&group->order);
129 BN_free(&group->cofactor);
138 EC_GROUP_clear_free(EC_GROUP * group)
143 if (group->meth->group_clear_finish != 0)
144 group->meth->group_clear_finish(group);
145 else if (group->meth->group_finish != 0)
146 group->meth->group_finish(group);
148 EC_EX_DATA_clear_free_all_data(&group->extra_data);
150 EC_POINT_clear_free(group->generator);
151 BN_clear_free(&group->order);
152 BN_clear_free(&group->cofactor);
155 explicit_bzero(group->seed, group->seed_len);
158 explicit_bzero(group, sizeof *group);
164 EC_GROUP_copy(EC_GROUP * dest, const EC_GROUP * src)
168 if (dest->meth->group_copy == 0) {
169 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
172 if (dest->meth != src->meth) {
173 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
179 EC_EX_DATA_free_all_data(&dest->extra_data);
181 for (d = src->extra_data; d != NULL; d = d->next) {
182 void *t = d->dup_func(d->data);
186 if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func,
187 d->free_func, d->clear_free_func))
191 if (src->generator != NULL) {
192 if (dest->generator == NULL) {
193 dest->generator = EC_POINT_new(dest);
194 if (dest->generator == NULL)
197 if (!EC_POINT_copy(dest->generator, src->generator))
200 /* src->generator == NULL */
201 EC_POINT_clear_free(dest->generator);
202 dest->generator = NULL;
205 if (!BN_copy(&dest->order, &src->order))
207 if (!BN_copy(&dest->cofactor, &src->cofactor))
210 dest->curve_name = src->curve_name;
211 dest->asn1_flag = src->asn1_flag;
212 dest->asn1_form = src->asn1_form;
216 dest->seed = malloc(src->seed_len);
217 if (dest->seed == NULL)
219 memcpy(dest->seed, src->seed, src->seed_len);
220 dest->seed_len = src->seed_len;
228 return dest->meth->group_copy(dest, src);
233 EC_GROUP_dup(const EC_GROUP * a)
241 if ((t = EC_GROUP_new(a->meth)) == NULL)
243 if (!EC_GROUP_copy(t, a))
258 EC_GROUP_method_of(const EC_GROUP *group)
265 EC_METHOD_get_field_type(const EC_METHOD *meth)
267 return meth->field_type;
272 EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
273 const BIGNUM *order, const BIGNUM *cofactor)
275 if (generator == NULL) {
276 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
279 if (group->generator == NULL) {
280 group->generator = EC_POINT_new(group);
281 if (group->generator == NULL)
284 if (!EC_POINT_copy(group->generator, generator))
288 if (!BN_copy(&group->order, order))
291 BN_zero(&group->order);
293 if (cofactor != NULL) {
294 if (!BN_copy(&group->cofactor, cofactor))
297 BN_zero(&group->cofactor);
304 EC_GROUP_get0_generator(const EC_GROUP *group)
306 return group->generator;
311 EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
313 if (!BN_copy(order, &group->order))
316 return !BN_is_zero(order);
321 EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
323 if (!BN_copy(cofactor, &group->cofactor))
326 return !BN_is_zero(&group->cofactor);
331 EC_GROUP_set_curve_name(EC_GROUP * group, int nid)
333 group->curve_name = nid;
338 EC_GROUP_get_curve_name(const EC_GROUP * group)
340 return group->curve_name;
345 EC_GROUP_set_asn1_flag(EC_GROUP * group, int flag)
347 group->asn1_flag = flag;
352 EC_GROUP_get_asn1_flag(const EC_GROUP * group)
354 return group->asn1_flag;
359 EC_GROUP_set_point_conversion_form(EC_GROUP * group,
360 point_conversion_form_t form)
362 group->asn1_form = form;
366 point_conversion_form_t
367 EC_GROUP_get_point_conversion_form(const EC_GROUP * group)
369 return group->asn1_form;
374 EC_GROUP_set_seed(EC_GROUP * group, const unsigned char *p, size_t len)
384 if ((group->seed = malloc(len)) == NULL)
386 memcpy(group->seed, p, len);
387 group->seed_len = len;
394 EC_GROUP_get0_seed(const EC_GROUP * group)
401 EC_GROUP_get_seed_len(const EC_GROUP * group)
403 return group->seed_len;
408 EC_GROUP_set_curve_GFp(EC_GROUP * group, const BIGNUM * p, const BIGNUM * a,
409 const BIGNUM * b, BN_CTX * ctx)
411 if (group->meth->group_set_curve == 0) {
412 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
415 return group->meth->group_set_curve(group, p, a, b, ctx);
420 EC_GROUP_get_curve_GFp(const EC_GROUP * group, BIGNUM * p, BIGNUM * a,
421 BIGNUM * b, BN_CTX * ctx)
423 if (group->meth->group_get_curve == 0) {
424 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
427 return group->meth->group_get_curve(group, p, a, b, ctx);
430 #ifndef OPENSSL_NO_EC2M
432 EC_GROUP_set_curve_GF2m(EC_GROUP * group, const BIGNUM * p, const BIGNUM * a,
433 const BIGNUM * b, BN_CTX * ctx)
435 if (group->meth->group_set_curve == 0) {
436 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
439 return group->meth->group_set_curve(group, p, a, b, ctx);
444 EC_GROUP_get_curve_GF2m(const EC_GROUP * group, BIGNUM * p, BIGNUM * a,
445 BIGNUM * b, BN_CTX * ctx)
447 if (group->meth->group_get_curve == 0) {
448 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
451 return group->meth->group_get_curve(group, p, a, b, ctx);
456 EC_GROUP_get_degree(const EC_GROUP * group)
458 if (group->meth->group_get_degree == 0) {
459 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
462 return group->meth->group_get_degree(group);
467 EC_GROUP_check_discriminant(const EC_GROUP * group, BN_CTX * ctx)
469 if (group->meth->group_check_discriminant == 0) {
470 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
473 return group->meth->group_check_discriminant(group, ctx);
478 EC_GROUP_cmp(const EC_GROUP * a, const EC_GROUP * b, BN_CTX * ctx)
481 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
482 BN_CTX *ctx_new = NULL;
484 /* compare the field types */
485 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
486 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
488 /* compare the curve name (if present in both) */
489 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
490 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
494 ctx_new = ctx = BN_CTX_new();
499 if ((a1 = BN_CTX_get(ctx)) == NULL)
501 if ((a2 = BN_CTX_get(ctx)) == NULL)
503 if ((a3 = BN_CTX_get(ctx)) == NULL)
505 if ((b1 = BN_CTX_get(ctx)) == NULL)
507 if ((b2 = BN_CTX_get(ctx)) == NULL)
509 if ((b3 = BN_CTX_get(ctx)) == NULL)
513 * XXX This approach assumes that the external representation of
514 * curves over the same field type is the same.
516 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
517 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
520 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
523 /* XXX EC_POINT_cmp() assumes that the methods are equal */
524 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
525 EC_GROUP_get0_generator(b), ctx))
529 /* compare the order and cofactor */
530 if (!EC_GROUP_get_order(a, a1, ctx) ||
531 !EC_GROUP_get_order(b, b1, ctx) ||
532 !EC_GROUP_get_cofactor(a, a2, ctx) ||
533 !EC_GROUP_get_cofactor(b, b2, ctx))
535 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
552 /* this has 'package' visibility */
554 EC_EX_DATA_set_data(EC_EXTRA_DATA ** ex_data, void *data,
555 void *(*dup_func) (void *),
556 void (*free_func) (void *),
557 void (*clear_free_func) (void *))
564 for (d = *ex_data; d != NULL; d = d->next) {
565 if (d->dup_func == dup_func && d->free_func == free_func &&
566 d->clear_free_func == clear_free_func) {
567 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
573 /* no explicit entry needed */
576 d = malloc(sizeof *d);
581 d->dup_func = dup_func;
582 d->free_func = free_func;
583 d->clear_free_func = clear_free_func;
591 /* this has 'package' visibility */
593 EC_EX_DATA_get_data(const EC_EXTRA_DATA * ex_data,
594 void *(*dup_func) (void *),
595 void (*free_func) (void *),
596 void (*clear_free_func) (void *))
598 const EC_EXTRA_DATA *d;
600 for (d = ex_data; d != NULL; d = d->next) {
601 if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
608 /* this has 'package' visibility */
610 EC_EX_DATA_free_data(EC_EXTRA_DATA ** ex_data,
611 void *(*dup_func) (void *),
612 void (*free_func) (void *),
613 void (*clear_free_func) (void *))
620 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
621 if ((*p)->dup_func == dup_func &&
622 (*p)->free_func == free_func &&
623 (*p)->clear_free_func == clear_free_func) {
624 EC_EXTRA_DATA *next = (*p)->next;
626 (*p)->free_func((*p)->data);
635 /* this has 'package' visibility */
637 EC_EX_DATA_clear_free_data(EC_EXTRA_DATA ** ex_data,
638 void *(*dup_func) (void *),
639 void (*free_func) (void *),
640 void (*clear_free_func) (void *))
647 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
648 if ((*p)->dup_func == dup_func &&
649 (*p)->free_func == free_func &&
650 (*p)->clear_free_func == clear_free_func) {
651 EC_EXTRA_DATA *next = (*p)->next;
653 (*p)->clear_free_func((*p)->data);
662 /* this has 'package' visibility */
664 EC_EX_DATA_free_all_data(EC_EXTRA_DATA ** ex_data)
673 EC_EXTRA_DATA *next = d->next;
675 d->free_func(d->data);
683 /* this has 'package' visibility */
685 EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA ** ex_data)
694 EC_EXTRA_DATA *next = d->next;
696 d->clear_free_func(d->data);
705 /* functions for EC_POINT objects */
708 EC_POINT_new(const EC_GROUP * group)
713 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
716 if (group->meth->point_init == 0) {
717 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
720 ret = malloc(sizeof *ret);
722 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
725 ret->meth = group->meth;
727 if (!ret->meth->point_init(ret)) {
736 EC_POINT_free(EC_POINT * point)
741 if (point->meth->point_finish != 0)
742 point->meth->point_finish(point);
748 EC_POINT_clear_free(EC_POINT * point)
753 if (point->meth->point_clear_finish != 0)
754 point->meth->point_clear_finish(point);
755 else if (point->meth->point_finish != 0)
756 point->meth->point_finish(point);
757 explicit_bzero(point, sizeof *point);
763 EC_POINT_copy(EC_POINT * dest, const EC_POINT * src)
765 if (dest->meth->point_copy == 0) {
766 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
769 if (dest->meth != src->meth) {
770 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
775 return dest->meth->point_copy(dest, src);
780 EC_POINT_dup(const EC_POINT * a, const EC_GROUP * group)
788 t = EC_POINT_new(group);
791 r = EC_POINT_copy(t, a);
801 EC_POINT_method_of(const EC_POINT * point)
808 EC_POINT_set_to_infinity(const EC_GROUP * group, EC_POINT * point)
810 if (group->meth->point_set_to_infinity == 0) {
811 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
814 if (group->meth != point->meth) {
815 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
818 return group->meth->point_set_to_infinity(group, point);
823 EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
824 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
826 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
827 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
830 if (group->meth != point->meth) {
831 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
834 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
839 EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
840 const EC_POINT *point, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
842 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
843 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
846 if (group->meth != point->meth) {
847 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
850 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
855 EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
856 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
858 if (group->meth->point_set_affine_coordinates == 0) {
859 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
862 if (group->meth != point->meth) {
863 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
866 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
869 #ifndef OPENSSL_NO_EC2M
871 EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
872 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
874 if (group->meth->point_set_affine_coordinates == 0) {
875 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
878 if (group->meth != point->meth) {
879 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
882 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
887 EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
888 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
890 if (group->meth->point_get_affine_coordinates == 0) {
891 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
894 if (group->meth != point->meth) {
895 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
898 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
901 #ifndef OPENSSL_NO_EC2M
903 EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
904 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
906 if (group->meth->point_get_affine_coordinates == 0) {
907 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
910 if (group->meth != point->meth) {
911 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
914 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
919 EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
920 const EC_POINT *b, BN_CTX *ctx)
922 if (group->meth->add == 0) {
923 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
926 if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth)) {
927 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
930 return group->meth->add(group, r, a, b, ctx);
935 EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
937 if (group->meth->dbl == 0) {
938 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
941 if ((group->meth != r->meth) || (r->meth != a->meth)) {
942 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
945 return group->meth->dbl(group, r, a, ctx);
950 EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
952 if (group->meth->invert == 0) {
953 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
956 if (group->meth != a->meth) {
957 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
960 return group->meth->invert(group, a, ctx);
965 EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
967 if (group->meth->is_at_infinity == 0) {
968 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
971 if (group->meth != point->meth) {
972 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
975 return group->meth->is_at_infinity(group, point);
980 EC_POINT_is_on_curve(const EC_GROUP * group, const EC_POINT * point, BN_CTX * ctx)
982 if (group->meth->is_on_curve == 0) {
983 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
986 if (group->meth != point->meth) {
987 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
990 return group->meth->is_on_curve(group, point, ctx);
995 EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
998 if (group->meth->point_cmp == 0) {
999 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1002 if ((group->meth != a->meth) || (a->meth != b->meth)) {
1003 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
1006 return group->meth->point_cmp(group, a, b, ctx);
1011 EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
1013 if (group->meth->make_affine == 0) {
1014 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1017 if (group->meth != point->meth) {
1018 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1021 return group->meth->make_affine(group, point, ctx);
1026 EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[],
1031 if (group->meth->points_make_affine == 0) {
1032 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1035 for (i = 0; i < num; i++) {
1036 if (group->meth != points[i]->meth) {
1037 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1041 return group->meth->points_make_affine(group, num, points, ctx);
1045 /* Functions for point multiplication.
1047 * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
1048 * otherwise we dispatch through methods.
1052 EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1053 size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
1055 if (group->meth->mul == 0)
1057 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1059 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1063 EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1064 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1066 /* just a convenient interface to EC_POINTs_mul() */
1068 const EC_POINT *points[1];
1069 const BIGNUM *scalars[1];
1072 scalars[0] = p_scalar;
1074 return EC_POINTs_mul(group, r, g_scalar,
1075 (point != NULL && p_scalar != NULL),
1076 points, scalars, ctx);
1080 EC_GROUP_precompute_mult(EC_GROUP * group, BN_CTX * ctx)
1082 if (group->meth->mul == 0)
1084 return ec_wNAF_precompute_mult(group, ctx);
1086 if (group->meth->precompute_mult != 0)
1087 return group->meth->precompute_mult(group, ctx);
1089 return 1; /* nothing to do, so report success */
1093 EC_GROUP_have_precompute_mult(const EC_GROUP * group)
1095 if (group->meth->mul == 0)
1097 return ec_wNAF_have_precompute_mult(group);
1099 if (group->meth->have_precompute_mult != 0)
1100 return group->meth->have_precompute_mult(group);
1102 return 0; /* cannot tell whether precomputation has
1107 ECParameters_dup(EC_KEY *key)
1109 unsigned char *p = NULL;
1116 if ((len = i2d_ECParameters(key, &p)) > 0)
1117 k = d2i_ECParameters(NULL, (const unsigned char **)&p, len);