1 /* crypto/ec/ec_lib.c */
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/err.h>
67 #include <openssl/opensslv.h>
71 const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
73 /* functions for EC_GROUP objects */
75 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
80 ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
83 if (meth->group_init == 0) {
84 ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
88 ret = OPENSSL_malloc(sizeof *ret);
90 ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
96 ret->extra_data = NULL;
98 ret->generator = NULL;
100 BN_init(&ret->cofactor);
104 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
109 if (!meth->group_init(ret)) {
117 void 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 if (group->generator != NULL)
128 EC_POINT_free(group->generator);
129 BN_free(&group->order);
130 BN_free(&group->cofactor);
133 OPENSSL_free(group->seed);
138 void 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 if (group->generator != NULL)
151 EC_POINT_clear_free(group->generator);
152 BN_clear_free(&group->order);
153 BN_clear_free(&group->cofactor);
156 OPENSSL_cleanse(group->seed, group->seed_len);
157 OPENSSL_free(group->seed);
160 OPENSSL_cleanse(group, sizeof *group);
164 int 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
187 (&dest->extra_data, t, d->dup_func, d->free_func,
192 if (src->generator != NULL) {
193 if (dest->generator == NULL) {
194 dest->generator = EC_POINT_new(dest);
195 if (dest->generator == NULL)
198 if (!EC_POINT_copy(dest->generator, src->generator))
201 /* src->generator == NULL */
202 if (dest->generator != NULL) {
203 EC_POINT_clear_free(dest->generator);
204 dest->generator = NULL;
208 if (!BN_copy(&dest->order, &src->order))
210 if (!BN_copy(&dest->cofactor, &src->cofactor))
213 dest->curve_name = src->curve_name;
214 dest->asn1_flag = src->asn1_flag;
215 dest->asn1_form = src->asn1_form;
219 OPENSSL_free(dest->seed);
220 dest->seed = OPENSSL_malloc(src->seed_len);
221 if (dest->seed == NULL)
223 if (!memcpy(dest->seed, src->seed, src->seed_len))
225 dest->seed_len = src->seed_len;
228 OPENSSL_free(dest->seed);
233 return dest->meth->group_copy(dest, src);
236 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
244 if ((t = EC_GROUP_new(a->meth)) == NULL)
246 if (!EC_GROUP_copy(t, a))
260 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
265 int EC_METHOD_get_field_type(const EC_METHOD *meth)
267 return meth->field_type;
270 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
271 const BIGNUM *order, const BIGNUM *cofactor)
273 if (generator == NULL) {
274 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
278 if (group->generator == NULL) {
279 group->generator = EC_POINT_new(group);
280 if (group->generator == NULL)
283 if (!EC_POINT_copy(group->generator, generator))
287 if (!BN_copy(&group->order, order))
290 BN_zero(&group->order);
292 if (cofactor != NULL) {
293 if (!BN_copy(&group->cofactor, cofactor))
296 BN_zero(&group->cofactor);
301 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
303 return group->generator;
306 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
308 if (!BN_copy(order, &group->order))
311 return !BN_is_zero(order);
314 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
317 if (!BN_copy(cofactor, &group->cofactor))
320 return !BN_is_zero(&group->cofactor);
323 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
325 group->curve_name = nid;
328 int EC_GROUP_get_curve_name(const EC_GROUP *group)
330 return group->curve_name;
333 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
335 group->asn1_flag = flag;
338 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
340 return group->asn1_flag;
343 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
344 point_conversion_form_t form)
346 group->asn1_form = form;
349 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
352 return group->asn1_form;
355 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
358 OPENSSL_free(group->seed);
366 if ((group->seed = OPENSSL_malloc(len)) == NULL)
368 memcpy(group->seed, p, len);
369 group->seed_len = len;
374 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
379 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
381 return group->seed_len;
384 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
385 const BIGNUM *b, BN_CTX *ctx)
387 if (group->meth->group_set_curve == 0) {
388 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
391 return group->meth->group_set_curve(group, p, a, b, ctx);
394 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
395 BIGNUM *b, BN_CTX *ctx)
397 if (group->meth->group_get_curve == 0) {
398 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
401 return group->meth->group_get_curve(group, p, a, b, ctx);
404 #ifndef OPENSSL_NO_EC2M
405 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
406 const BIGNUM *b, BN_CTX *ctx)
408 if (group->meth->group_set_curve == 0) {
409 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
410 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
413 return group->meth->group_set_curve(group, p, a, b, ctx);
416 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
417 BIGNUM *b, BN_CTX *ctx)
419 if (group->meth->group_get_curve == 0) {
420 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
421 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
424 return group->meth->group_get_curve(group, p, a, b, ctx);
428 int EC_GROUP_get_degree(const EC_GROUP *group)
430 if (group->meth->group_get_degree == 0) {
431 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
434 return group->meth->group_get_degree(group);
437 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
439 if (group->meth->group_check_discriminant == 0) {
440 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
441 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
444 return group->meth->group_check_discriminant(group, ctx);
447 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
450 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
451 BN_CTX *ctx_new = NULL;
453 /* compare the field types */
454 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
455 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
457 /* compare the curve name (if present in both) */
458 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
459 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
463 ctx_new = ctx = BN_CTX_new();
468 a1 = BN_CTX_get(ctx);
469 a2 = BN_CTX_get(ctx);
470 a3 = BN_CTX_get(ctx);
471 b1 = BN_CTX_get(ctx);
472 b2 = BN_CTX_get(ctx);
473 b3 = BN_CTX_get(ctx);
482 * XXX This approach assumes that the external representation of curves
483 * over the same field type is the same.
485 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
486 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
489 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
492 /* XXX EC_POINT_cmp() assumes that the methods are equal */
493 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
494 EC_GROUP_get0_generator(b), ctx))
498 /* compare the order and cofactor */
499 if (!EC_GROUP_get_order(a, a1, ctx) ||
500 !EC_GROUP_get_order(b, b1, ctx) ||
501 !EC_GROUP_get_cofactor(a, a2, ctx) ||
502 !EC_GROUP_get_cofactor(b, b2, ctx)) {
508 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
519 /* this has 'package' visibility */
520 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
521 void *(*dup_func) (void *),
522 void (*free_func) (void *),
523 void (*clear_free_func) (void *))
530 for (d = *ex_data; d != NULL; d = d->next) {
531 if (d->dup_func == dup_func && d->free_func == free_func
532 && d->clear_free_func == clear_free_func) {
533 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
539 /* no explicit entry needed */
542 d = OPENSSL_malloc(sizeof *d);
547 d->dup_func = dup_func;
548 d->free_func = free_func;
549 d->clear_free_func = clear_free_func;
557 /* this has 'package' visibility */
558 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
559 void *(*dup_func) (void *),
560 void (*free_func) (void *),
561 void (*clear_free_func) (void *))
563 const EC_EXTRA_DATA *d;
565 for (d = ex_data; d != NULL; d = d->next) {
566 if (d->dup_func == dup_func && d->free_func == free_func
567 && d->clear_free_func == clear_free_func)
574 /* this has 'package' visibility */
575 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
576 void *(*dup_func) (void *),
577 void (*free_func) (void *),
578 void (*clear_free_func) (void *))
585 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
586 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
587 && (*p)->clear_free_func == clear_free_func) {
588 EC_EXTRA_DATA *next = (*p)->next;
590 (*p)->free_func((*p)->data);
599 /* this has 'package' visibility */
600 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
601 void *(*dup_func) (void *),
602 void (*free_func) (void *),
603 void (*clear_free_func) (void *))
610 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
611 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
612 && (*p)->clear_free_func == clear_free_func) {
613 EC_EXTRA_DATA *next = (*p)->next;
615 (*p)->clear_free_func((*p)->data);
624 /* this has 'package' visibility */
625 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
634 EC_EXTRA_DATA *next = d->next;
636 d->free_func(d->data);
644 /* this has 'package' visibility */
645 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
654 EC_EXTRA_DATA *next = d->next;
656 d->clear_free_func(d->data);
664 /* functions for EC_POINT objects */
666 EC_POINT *EC_POINT_new(const EC_GROUP *group)
671 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
674 if (group->meth->point_init == 0) {
675 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
679 ret = OPENSSL_malloc(sizeof *ret);
681 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
685 ret->meth = group->meth;
687 if (!ret->meth->point_init(ret)) {
695 void EC_POINT_free(EC_POINT *point)
700 if (point->meth->point_finish != 0)
701 point->meth->point_finish(point);
705 void EC_POINT_clear_free(EC_POINT *point)
710 if (point->meth->point_clear_finish != 0)
711 point->meth->point_clear_finish(point);
712 else if (point->meth->point_finish != 0)
713 point->meth->point_finish(point);
714 OPENSSL_cleanse(point, sizeof *point);
718 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
720 if (dest->meth->point_copy == 0) {
721 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
724 if (dest->meth != src->meth) {
725 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
730 return dest->meth->point_copy(dest, src);
733 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
741 t = EC_POINT_new(group);
744 r = EC_POINT_copy(t, a);
752 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
757 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
759 if (group->meth->point_set_to_infinity == 0) {
760 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
761 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
764 if (group->meth != point->meth) {
765 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
768 return group->meth->point_set_to_infinity(group, point);
771 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
772 EC_POINT *point, const BIGNUM *x,
773 const BIGNUM *y, const BIGNUM *z,
776 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
777 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
778 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
781 if (group->meth != point->meth) {
782 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
783 EC_R_INCOMPATIBLE_OBJECTS);
786 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
790 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
791 const EC_POINT *point, BIGNUM *x,
792 BIGNUM *y, BIGNUM *z,
795 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
796 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
797 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
800 if (group->meth != point->meth) {
801 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
802 EC_R_INCOMPATIBLE_OBJECTS);
805 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
809 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
810 EC_POINT *point, const BIGNUM *x,
811 const BIGNUM *y, BN_CTX *ctx)
813 if (group->meth->point_set_affine_coordinates == 0) {
814 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
815 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
818 if (group->meth != point->meth) {
819 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
820 EC_R_INCOMPATIBLE_OBJECTS);
823 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
826 #ifndef OPENSSL_NO_EC2M
827 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
828 EC_POINT *point, const BIGNUM *x,
829 const BIGNUM *y, BN_CTX *ctx)
831 if (group->meth->point_set_affine_coordinates == 0) {
832 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
833 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
836 if (group->meth != point->meth) {
837 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
838 EC_R_INCOMPATIBLE_OBJECTS);
841 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
845 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
846 const EC_POINT *point, BIGNUM *x,
847 BIGNUM *y, BN_CTX *ctx)
849 if (group->meth->point_get_affine_coordinates == 0) {
850 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
851 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
854 if (group->meth != point->meth) {
855 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
856 EC_R_INCOMPATIBLE_OBJECTS);
859 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
862 #ifndef OPENSSL_NO_EC2M
863 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
864 const EC_POINT *point, BIGNUM *x,
865 BIGNUM *y, BN_CTX *ctx)
867 if (group->meth->point_get_affine_coordinates == 0) {
868 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
869 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
872 if (group->meth != point->meth) {
873 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
874 EC_R_INCOMPATIBLE_OBJECTS);
877 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
881 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
882 const EC_POINT *b, BN_CTX *ctx)
884 if (group->meth->add == 0) {
885 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
888 if ((group->meth != r->meth) || (r->meth != a->meth)
889 || (a->meth != b->meth)) {
890 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
893 return group->meth->add(group, r, a, b, ctx);
896 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
899 if (group->meth->dbl == 0) {
900 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
903 if ((group->meth != r->meth) || (r->meth != a->meth)) {
904 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
907 return group->meth->dbl(group, r, a, ctx);
910 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
912 if (group->meth->invert == 0) {
913 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
916 if (group->meth != a->meth) {
917 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
920 return group->meth->invert(group, a, ctx);
923 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
925 if (group->meth->is_at_infinity == 0) {
926 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
927 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
930 if (group->meth != point->meth) {
931 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
934 return group->meth->is_at_infinity(group, point);
938 * Check whether an EC_POINT is on the curve or not. Note that the return
939 * value for this function should NOT be treated as a boolean. Return values:
940 * 1: The point is on the curve
941 * 0: The point is not on the curve
942 * -1: An error occurred
944 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
947 if (group->meth->is_on_curve == 0) {
948 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
951 if (group->meth != point->meth) {
952 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
955 return group->meth->is_on_curve(group, point, ctx);
958 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
961 if (group->meth->point_cmp == 0) {
962 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
965 if ((group->meth != a->meth) || (a->meth != b->meth)) {
966 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
969 return group->meth->point_cmp(group, a, b, ctx);
972 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
974 if (group->meth->make_affine == 0) {
975 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
978 if (group->meth != point->meth) {
979 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
982 return group->meth->make_affine(group, point, ctx);
985 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
986 EC_POINT *points[], BN_CTX *ctx)
990 if (group->meth->points_make_affine == 0) {
991 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
994 for (i = 0; i < num; i++) {
995 if (group->meth != points[i]->meth) {
996 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1000 return group->meth->points_make_affine(group, num, points, ctx);
1004 * Functions for point multiplication. If group->meth->mul is 0, we use the
1005 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1009 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1010 size_t num, const EC_POINT *points[],
1011 const BIGNUM *scalars[], BN_CTX *ctx)
1013 if (group->meth->mul == 0)
1015 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1017 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1020 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1021 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1023 /* just a convenient interface to EC_POINTs_mul() */
1025 const EC_POINT *points[1];
1026 const BIGNUM *scalars[1];
1029 scalars[0] = p_scalar;
1031 return EC_POINTs_mul(group, r, g_scalar,
1033 && p_scalar != NULL), points, scalars, ctx);
1036 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1038 if (group->meth->mul == 0)
1040 return ec_wNAF_precompute_mult(group, ctx);
1042 if (group->meth->precompute_mult != 0)
1043 return group->meth->precompute_mult(group, ctx);
1045 return 1; /* nothing to do, so report success */
1048 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1050 if (group->meth->mul == 0)
1052 return ec_wNAF_have_precompute_mult(group);
1054 if (group->meth->have_precompute_mult != 0)
1055 return group->meth->have_precompute_mult(group);
1057 return 0; /* cannot tell whether precomputation has