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;
97 ret->mont_data = NULL;
99 ret->generator = NULL;
100 ret->order = BN_new();
101 ret->cofactor = NULL;
104 ret->cofactor = BN_new();
109 ret->asn1_flag = OPENSSL_EC_NAMED_CURVE;
110 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
115 if (!meth->group_init(ret))
121 BN_free(ret->cofactor);
126 void EC_GROUP_free(EC_GROUP *group)
131 if (group->meth->group_finish != 0)
132 group->meth->group_finish(group);
134 EC_EX_DATA_free_all_data(&group->extra_data);
135 BN_MONT_CTX_free(group->mont_data);
136 EC_POINT_free(group->generator);
137 BN_free(group->order);
138 BN_free(group->cofactor);
139 OPENSSL_free(group->seed);
143 void EC_GROUP_clear_free(EC_GROUP *group)
148 if (group->meth->group_clear_finish != 0)
149 group->meth->group_clear_finish(group);
150 else if (group->meth->group_finish != 0)
151 group->meth->group_finish(group);
153 EC_EX_DATA_clear_free_all_data(&group->extra_data);
155 BN_MONT_CTX_free(group->mont_data);
157 EC_POINT_clear_free(group->generator);
158 BN_clear_free(group->order);
159 BN_clear_free(group->cofactor);
160 OPENSSL_clear_free(group->seed, group->seed_len);
161 OPENSSL_clear_free(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->mont_data != NULL) {
193 if (dest->mont_data == NULL) {
194 dest->mont_data = BN_MONT_CTX_new();
195 if (dest->mont_data == NULL)
198 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
201 /* src->generator == NULL */
202 BN_MONT_CTX_free(dest->mont_data);
203 dest->mont_data = NULL;
206 if (src->generator != NULL) {
207 if (dest->generator == NULL) {
208 dest->generator = EC_POINT_new(dest);
209 if (dest->generator == NULL)
212 if (!EC_POINT_copy(dest->generator, src->generator))
215 /* src->generator == NULL */
216 EC_POINT_clear_free(dest->generator);
217 dest->generator = NULL;
220 if (!BN_copy(dest->order, src->order))
222 if (!BN_copy(dest->cofactor, src->cofactor))
225 dest->curve_name = src->curve_name;
226 dest->asn1_flag = src->asn1_flag;
227 dest->asn1_form = src->asn1_form;
230 OPENSSL_free(dest->seed);
231 dest->seed = OPENSSL_malloc(src->seed_len);
232 if (dest->seed == NULL)
234 if (!memcpy(dest->seed, src->seed, src->seed_len))
236 dest->seed_len = src->seed_len;
238 OPENSSL_free(dest->seed);
243 return dest->meth->group_copy(dest, src);
246 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
254 if ((t = EC_GROUP_new(a->meth)) == NULL)
256 if (!EC_GROUP_copy(t, a))
269 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
274 int EC_METHOD_get_field_type(const EC_METHOD *meth)
276 return meth->field_type;
279 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
280 const BIGNUM *order, const BIGNUM *cofactor)
282 if (generator == NULL) {
283 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
287 if (group->generator == NULL) {
288 group->generator = EC_POINT_new(group);
289 if (group->generator == NULL)
292 if (!EC_POINT_copy(group->generator, generator))
296 if (!BN_copy(group->order, order))
299 BN_zero(group->order);
301 if (cofactor != NULL) {
302 if (!BN_copy(group->cofactor, cofactor))
305 BN_zero(group->cofactor);
308 * We ignore the return value because some groups have an order with
309 * factors of two, which makes the Montgomery setup fail.
310 * |group->mont_data| will be NULL in this case.
312 ec_precompute_mont_data(group);
317 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
319 return group->generator;
322 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
324 return group->mont_data;
327 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
329 if (!BN_copy(order, group->order))
332 return !BN_is_zero(order);
335 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
338 if (!BN_copy(cofactor, group->cofactor))
341 return !BN_is_zero(group->cofactor);
344 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
346 group->curve_name = nid;
349 int EC_GROUP_get_curve_name(const EC_GROUP *group)
351 return group->curve_name;
354 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
356 group->asn1_flag = flag;
359 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
361 return group->asn1_flag;
364 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
365 point_conversion_form_t form)
367 group->asn1_form = form;
370 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
373 return group->asn1_form;
376 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
378 OPENSSL_free(group->seed);
385 if ((group->seed = OPENSSL_malloc(len)) == NULL)
387 memcpy(group->seed, p, len);
388 group->seed_len = len;
393 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
398 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
400 return group->seed_len;
403 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
404 const BIGNUM *b, BN_CTX *ctx)
406 if (group->meth->group_set_curve == 0) {
407 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
410 return group->meth->group_set_curve(group, p, a, b, ctx);
413 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
414 BIGNUM *b, BN_CTX *ctx)
416 if (group->meth->group_get_curve == 0) {
417 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
420 return group->meth->group_get_curve(group, p, a, b, ctx);
423 #ifndef OPENSSL_NO_EC2M
424 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
425 const BIGNUM *b, BN_CTX *ctx)
427 if (group->meth->group_set_curve == 0) {
428 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
429 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
432 return group->meth->group_set_curve(group, p, a, b, ctx);
435 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
436 BIGNUM *b, BN_CTX *ctx)
438 if (group->meth->group_get_curve == 0) {
439 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
440 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
443 return group->meth->group_get_curve(group, p, a, b, ctx);
447 int EC_GROUP_get_degree(const EC_GROUP *group)
449 if (group->meth->group_get_degree == 0) {
450 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
453 return group->meth->group_get_degree(group);
456 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
458 if (group->meth->group_check_discriminant == 0) {
459 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
460 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
463 return group->meth->group_check_discriminant(group, ctx);
466 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
469 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
470 BN_CTX *ctx_new = NULL;
472 /* compare the field types */
473 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
474 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
476 /* compare the curve name (if present in both) */
477 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
478 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
482 ctx_new = ctx = BN_CTX_new();
487 a1 = BN_CTX_get(ctx);
488 a2 = BN_CTX_get(ctx);
489 a3 = BN_CTX_get(ctx);
490 b1 = BN_CTX_get(ctx);
491 b2 = BN_CTX_get(ctx);
492 b3 = BN_CTX_get(ctx);
495 BN_CTX_free(ctx_new);
500 * XXX This approach assumes that the external representation of curves
501 * over the same field type is the same.
503 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
504 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
507 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
510 /* XXX EC_POINT_cmp() assumes that the methods are equal */
511 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
512 EC_GROUP_get0_generator(b), ctx))
516 /* compare the order and cofactor */
517 if (!EC_GROUP_get_order(a, a1, ctx) ||
518 !EC_GROUP_get_order(b, b1, ctx) ||
519 !EC_GROUP_get_cofactor(a, a2, ctx) ||
520 !EC_GROUP_get_cofactor(b, b2, ctx)) {
522 BN_CTX_free(ctx_new);
525 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
530 BN_CTX_free(ctx_new);
535 /* this has 'package' visibility */
536 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
537 void *(*dup_func) (void *),
538 void (*free_func) (void *),
539 void (*clear_free_func) (void *))
546 for (d = *ex_data; d != NULL; d = d->next) {
547 if (d->dup_func == dup_func && d->free_func == free_func
548 && d->clear_free_func == clear_free_func) {
549 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
555 /* no explicit entry needed */
558 d = OPENSSL_malloc(sizeof(*d));
563 d->dup_func = dup_func;
564 d->free_func = free_func;
565 d->clear_free_func = clear_free_func;
573 /* this has 'package' visibility */
574 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
575 void *(*dup_func) (void *),
576 void (*free_func) (void *),
577 void (*clear_free_func) (void *))
579 const EC_EXTRA_DATA *d;
581 for (d = ex_data; d != NULL; d = d->next) {
582 if (d->dup_func == dup_func && d->free_func == free_func
583 && d->clear_free_func == clear_free_func)
590 /* this has 'package' visibility */
591 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
592 void *(*dup_func) (void *),
593 void (*free_func) (void *),
594 void (*clear_free_func) (void *))
601 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
602 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
603 && (*p)->clear_free_func == clear_free_func) {
604 EC_EXTRA_DATA *next = (*p)->next;
606 (*p)->free_func((*p)->data);
615 /* this has 'package' visibility */
616 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
617 void *(*dup_func) (void *),
618 void (*free_func) (void *),
619 void (*clear_free_func) (void *))
626 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
627 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
628 && (*p)->clear_free_func == clear_free_func) {
629 EC_EXTRA_DATA *next = (*p)->next;
631 (*p)->clear_free_func((*p)->data);
640 /* this has 'package' visibility */
641 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
650 EC_EXTRA_DATA *next = d->next;
652 d->free_func(d->data);
660 /* this has 'package' visibility */
661 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
670 EC_EXTRA_DATA *next = d->next;
672 d->clear_free_func(d->data);
680 /* functions for EC_POINT objects */
682 EC_POINT *EC_POINT_new(const EC_GROUP *group)
687 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
690 if (group->meth->point_init == 0) {
691 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
695 ret = OPENSSL_malloc(sizeof(*ret));
697 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
701 ret->meth = group->meth;
703 if (!ret->meth->point_init(ret)) {
711 void EC_POINT_free(EC_POINT *point)
716 if (point->meth->point_finish != 0)
717 point->meth->point_finish(point);
721 void EC_POINT_clear_free(EC_POINT *point)
726 if (point->meth->point_clear_finish != 0)
727 point->meth->point_clear_finish(point);
728 else if (point->meth->point_finish != 0)
729 point->meth->point_finish(point);
730 OPENSSL_clear_free(point, sizeof(*point));
733 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
735 if (dest->meth->point_copy == 0) {
736 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
739 if (dest->meth != src->meth) {
740 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
745 return dest->meth->point_copy(dest, src);
748 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
756 t = EC_POINT_new(group);
759 r = EC_POINT_copy(t, a);
767 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
772 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
774 if (group->meth->point_set_to_infinity == 0) {
775 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
776 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
779 if (group->meth != point->meth) {
780 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
783 return group->meth->point_set_to_infinity(group, point);
786 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
787 EC_POINT *point, const BIGNUM *x,
788 const BIGNUM *y, const BIGNUM *z,
791 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
792 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
793 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
796 if (group->meth != point->meth) {
797 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
798 EC_R_INCOMPATIBLE_OBJECTS);
801 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
805 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
806 const EC_POINT *point, BIGNUM *x,
807 BIGNUM *y, BIGNUM *z,
810 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
811 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
812 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
815 if (group->meth != point->meth) {
816 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
817 EC_R_INCOMPATIBLE_OBJECTS);
820 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
824 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
825 EC_POINT *point, const BIGNUM *x,
826 const BIGNUM *y, BN_CTX *ctx)
828 if (group->meth->point_set_affine_coordinates == 0) {
829 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
830 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
833 if (group->meth != point->meth) {
834 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
835 EC_R_INCOMPATIBLE_OBJECTS);
838 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
841 #ifndef OPENSSL_NO_EC2M
842 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
843 EC_POINT *point, const BIGNUM *x,
844 const BIGNUM *y, BN_CTX *ctx)
846 if (group->meth->point_set_affine_coordinates == 0) {
847 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
848 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
851 if (group->meth != point->meth) {
852 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
853 EC_R_INCOMPATIBLE_OBJECTS);
856 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
860 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
861 const EC_POINT *point, BIGNUM *x,
862 BIGNUM *y, BN_CTX *ctx)
864 if (group->meth->point_get_affine_coordinates == 0) {
865 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
866 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
869 if (group->meth != point->meth) {
870 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
871 EC_R_INCOMPATIBLE_OBJECTS);
874 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
877 #ifndef OPENSSL_NO_EC2M
878 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
879 const EC_POINT *point, BIGNUM *x,
880 BIGNUM *y, BN_CTX *ctx)
882 if (group->meth->point_get_affine_coordinates == 0) {
883 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
884 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
887 if (group->meth != point->meth) {
888 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
889 EC_R_INCOMPATIBLE_OBJECTS);
892 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
896 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
897 const EC_POINT *b, BN_CTX *ctx)
899 if (group->meth->add == 0) {
900 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
903 if ((group->meth != r->meth) || (r->meth != a->meth)
904 || (a->meth != b->meth)) {
905 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
908 return group->meth->add(group, r, a, b, ctx);
911 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
914 if (group->meth->dbl == 0) {
915 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
918 if ((group->meth != r->meth) || (r->meth != a->meth)) {
919 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
922 return group->meth->dbl(group, r, a, ctx);
925 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
927 if (group->meth->invert == 0) {
928 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
931 if (group->meth != a->meth) {
932 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
935 return group->meth->invert(group, a, ctx);
938 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
940 if (group->meth->is_at_infinity == 0) {
941 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
942 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
945 if (group->meth != point->meth) {
946 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
949 return group->meth->is_at_infinity(group, point);
952 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
955 if (group->meth->is_on_curve == 0) {
956 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
959 if (group->meth != point->meth) {
960 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
963 return group->meth->is_on_curve(group, point, ctx);
966 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
969 if (group->meth->point_cmp == 0) {
970 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
973 if ((group->meth != a->meth) || (a->meth != b->meth)) {
974 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
977 return group->meth->point_cmp(group, a, b, ctx);
980 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
982 if (group->meth->make_affine == 0) {
983 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
986 if (group->meth != point->meth) {
987 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
990 return group->meth->make_affine(group, point, ctx);
993 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
994 EC_POINT *points[], BN_CTX *ctx)
998 if (group->meth->points_make_affine == 0) {
999 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1002 for (i = 0; i < num; i++) {
1003 if (group->meth != points[i]->meth) {
1004 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1008 return group->meth->points_make_affine(group, num, points, ctx);
1012 * Functions for point multiplication. If group->meth->mul is 0, we use the
1013 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1017 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1018 size_t num, const EC_POINT *points[],
1019 const BIGNUM *scalars[], BN_CTX *ctx)
1021 if (group->meth->mul == 0)
1023 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1025 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1028 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1029 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1031 /* just a convenient interface to EC_POINTs_mul() */
1033 const EC_POINT *points[1];
1034 const BIGNUM *scalars[1];
1037 scalars[0] = p_scalar;
1039 return EC_POINTs_mul(group, r, g_scalar,
1041 && p_scalar != NULL), points, scalars, ctx);
1044 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1046 if (group->meth->mul == 0)
1048 return ec_wNAF_precompute_mult(group, ctx);
1050 if (group->meth->precompute_mult != 0)
1051 return group->meth->precompute_mult(group, ctx);
1053 return 1; /* nothing to do, so report success */
1056 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1058 if (group->meth->mul == 0)
1060 return ec_wNAF_have_precompute_mult(group);
1062 if (group->meth->have_precompute_mult != 0)
1063 return group->meth->have_precompute_mult(group);
1065 return 0; /* cannot tell whether precomputation has
1070 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1071 * returns one on success. On error it returns zero.
1073 int ec_precompute_mont_data(EC_GROUP *group)
1075 BN_CTX *ctx = BN_CTX_new();
1078 BN_MONT_CTX_free(group->mont_data);
1079 group->mont_data = NULL;
1084 group->mont_data = BN_MONT_CTX_new();
1085 if (!group->mont_data)
1088 if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
1089 BN_MONT_CTX_free(group->mont_data);
1090 group->mont_data = NULL;