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))
123 BN_free(ret->cofactor);
128 void EC_GROUP_free(EC_GROUP *group)
133 if (group->meth->group_finish != 0)
134 group->meth->group_finish(group);
136 EC_EX_DATA_free_all_data(&group->extra_data);
138 if (group->mont_data)
139 BN_MONT_CTX_free(group->mont_data);
141 if (group->generator != NULL)
142 EC_POINT_free(group->generator);
143 BN_free(group->order);
144 BN_free(group->cofactor);
147 OPENSSL_free(group->seed);
152 void EC_GROUP_clear_free(EC_GROUP *group)
157 if (group->meth->group_clear_finish != 0)
158 group->meth->group_clear_finish(group);
159 else if (group->meth->group_finish != 0)
160 group->meth->group_finish(group);
162 EC_EX_DATA_clear_free_all_data(&group->extra_data);
164 if (group->mont_data)
165 BN_MONT_CTX_free(group->mont_data);
167 if (group->generator != NULL)
168 EC_POINT_clear_free(group->generator);
169 BN_clear_free(group->order);
170 BN_clear_free(group->cofactor);
173 OPENSSL_cleanse(group->seed, group->seed_len);
174 OPENSSL_free(group->seed);
177 OPENSSL_cleanse(group, sizeof *group);
181 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
185 if (dest->meth->group_copy == 0) {
186 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
189 if (dest->meth != src->meth) {
190 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
196 EC_EX_DATA_free_all_data(&dest->extra_data);
198 for (d = src->extra_data; d != NULL; d = d->next) {
199 void *t = d->dup_func(d->data);
203 if (!EC_EX_DATA_set_data
204 (&dest->extra_data, t, d->dup_func, d->free_func,
209 if (src->mont_data != NULL) {
210 if (dest->mont_data == NULL) {
211 dest->mont_data = BN_MONT_CTX_new();
212 if (dest->mont_data == NULL)
215 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
218 /* src->generator == NULL */
219 if (dest->mont_data != NULL) {
220 BN_MONT_CTX_free(dest->mont_data);
221 dest->mont_data = NULL;
225 if (src->generator != NULL) {
226 if (dest->generator == NULL) {
227 dest->generator = EC_POINT_new(dest);
228 if (dest->generator == NULL)
231 if (!EC_POINT_copy(dest->generator, src->generator))
234 /* src->generator == NULL */
235 if (dest->generator != NULL) {
236 EC_POINT_clear_free(dest->generator);
237 dest->generator = NULL;
241 if (!BN_copy(dest->order, src->order))
243 if (!BN_copy(dest->cofactor, src->cofactor))
246 dest->curve_name = src->curve_name;
247 dest->asn1_flag = src->asn1_flag;
248 dest->asn1_form = src->asn1_form;
252 OPENSSL_free(dest->seed);
253 dest->seed = OPENSSL_malloc(src->seed_len);
254 if (dest->seed == NULL)
256 if (!memcpy(dest->seed, src->seed, src->seed_len))
258 dest->seed_len = src->seed_len;
261 OPENSSL_free(dest->seed);
266 return dest->meth->group_copy(dest, src);
269 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
277 if ((t = EC_GROUP_new(a->meth)) == NULL)
279 if (!EC_GROUP_copy(t, a))
293 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
298 int EC_METHOD_get_field_type(const EC_METHOD *meth)
300 return meth->field_type;
303 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
304 const BIGNUM *order, const BIGNUM *cofactor)
306 if (generator == NULL) {
307 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
311 if (group->generator == NULL) {
312 group->generator = EC_POINT_new(group);
313 if (group->generator == NULL)
316 if (!EC_POINT_copy(group->generator, generator))
320 if (!BN_copy(group->order, order))
323 BN_zero(group->order);
325 if (cofactor != NULL) {
326 if (!BN_copy(group->cofactor, cofactor))
329 BN_zero(group->cofactor);
332 * We ignore the return value because some groups have an order with
333 * factors of two, which makes the Montgomery setup fail.
334 * |group->mont_data| will be NULL in this case.
336 ec_precompute_mont_data(group);
341 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
343 return group->generator;
346 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
348 return group->mont_data;
351 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
353 if (!BN_copy(order, group->order))
356 return !BN_is_zero(order);
359 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
362 if (!BN_copy(cofactor, group->cofactor))
365 return !BN_is_zero(group->cofactor);
368 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
370 group->curve_name = nid;
373 int EC_GROUP_get_curve_name(const EC_GROUP *group)
375 return group->curve_name;
378 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
380 group->asn1_flag = flag;
383 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
385 return group->asn1_flag;
388 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
389 point_conversion_form_t form)
391 group->asn1_form = form;
394 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
397 return group->asn1_form;
400 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
403 OPENSSL_free(group->seed);
411 if ((group->seed = OPENSSL_malloc(len)) == NULL)
413 memcpy(group->seed, p, len);
414 group->seed_len = len;
419 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
424 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
426 return group->seed_len;
429 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
430 const BIGNUM *b, BN_CTX *ctx)
432 if (group->meth->group_set_curve == 0) {
433 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
436 return group->meth->group_set_curve(group, p, a, b, ctx);
439 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
440 BIGNUM *b, BN_CTX *ctx)
442 if (group->meth->group_get_curve == 0) {
443 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
446 return group->meth->group_get_curve(group, p, a, b, ctx);
449 #ifndef OPENSSL_NO_EC2M
450 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
451 const BIGNUM *b, BN_CTX *ctx)
453 if (group->meth->group_set_curve == 0) {
454 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
455 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
458 return group->meth->group_set_curve(group, p, a, b, ctx);
461 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
462 BIGNUM *b, BN_CTX *ctx)
464 if (group->meth->group_get_curve == 0) {
465 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
466 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
469 return group->meth->group_get_curve(group, p, a, b, ctx);
473 int EC_GROUP_get_degree(const EC_GROUP *group)
475 if (group->meth->group_get_degree == 0) {
476 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
479 return group->meth->group_get_degree(group);
482 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
484 if (group->meth->group_check_discriminant == 0) {
485 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
486 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
489 return group->meth->group_check_discriminant(group, ctx);
492 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
495 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
496 BN_CTX *ctx_new = NULL;
498 /* compare the field types */
499 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
500 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
502 /* compare the curve name (if present in both) */
503 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
504 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
508 ctx_new = ctx = BN_CTX_new();
513 a1 = BN_CTX_get(ctx);
514 a2 = BN_CTX_get(ctx);
515 a3 = BN_CTX_get(ctx);
516 b1 = BN_CTX_get(ctx);
517 b2 = BN_CTX_get(ctx);
518 b3 = BN_CTX_get(ctx);
527 * XXX This approach assumes that the external representation of curves
528 * over the same field type is the same.
530 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
531 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
534 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
537 /* XXX EC_POINT_cmp() assumes that the methods are equal */
538 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
539 EC_GROUP_get0_generator(b), ctx))
543 /* compare the order and cofactor */
544 if (!EC_GROUP_get_order(a, a1, ctx) ||
545 !EC_GROUP_get_order(b, b1, ctx) ||
546 !EC_GROUP_get_cofactor(a, a2, ctx) ||
547 !EC_GROUP_get_cofactor(b, b2, ctx)) {
553 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
564 /* this has 'package' visibility */
565 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
566 void *(*dup_func) (void *),
567 void (*free_func) (void *),
568 void (*clear_free_func) (void *))
575 for (d = *ex_data; d != NULL; d = d->next) {
576 if (d->dup_func == dup_func && d->free_func == free_func
577 && d->clear_free_func == clear_free_func) {
578 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
584 /* no explicit entry needed */
587 d = OPENSSL_malloc(sizeof *d);
592 d->dup_func = dup_func;
593 d->free_func = free_func;
594 d->clear_free_func = clear_free_func;
602 /* this has 'package' visibility */
603 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
604 void *(*dup_func) (void *),
605 void (*free_func) (void *),
606 void (*clear_free_func) (void *))
608 const EC_EXTRA_DATA *d;
610 for (d = ex_data; d != NULL; d = d->next) {
611 if (d->dup_func == dup_func && d->free_func == free_func
612 && d->clear_free_func == clear_free_func)
619 /* this has 'package' visibility */
620 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
621 void *(*dup_func) (void *),
622 void (*free_func) (void *),
623 void (*clear_free_func) (void *))
630 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
631 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
632 && (*p)->clear_free_func == clear_free_func) {
633 EC_EXTRA_DATA *next = (*p)->next;
635 (*p)->free_func((*p)->data);
644 /* this has 'package' visibility */
645 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
646 void *(*dup_func) (void *),
647 void (*free_func) (void *),
648 void (*clear_free_func) (void *))
655 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
656 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
657 && (*p)->clear_free_func == clear_free_func) {
658 EC_EXTRA_DATA *next = (*p)->next;
660 (*p)->clear_free_func((*p)->data);
669 /* this has 'package' visibility */
670 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
679 EC_EXTRA_DATA *next = d->next;
681 d->free_func(d->data);
689 /* this has 'package' visibility */
690 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
699 EC_EXTRA_DATA *next = d->next;
701 d->clear_free_func(d->data);
709 /* functions for EC_POINT objects */
711 EC_POINT *EC_POINT_new(const EC_GROUP *group)
716 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
719 if (group->meth->point_init == 0) {
720 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
724 ret = OPENSSL_malloc(sizeof *ret);
726 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
730 ret->meth = group->meth;
732 if (!ret->meth->point_init(ret)) {
740 void EC_POINT_free(EC_POINT *point)
745 if (point->meth->point_finish != 0)
746 point->meth->point_finish(point);
750 void EC_POINT_clear_free(EC_POINT *point)
755 if (point->meth->point_clear_finish != 0)
756 point->meth->point_clear_finish(point);
757 else if (point->meth->point_finish != 0)
758 point->meth->point_finish(point);
759 OPENSSL_cleanse(point, sizeof *point);
763 int 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);
778 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
786 t = EC_POINT_new(group);
789 r = EC_POINT_copy(t, a);
797 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
802 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
804 if (group->meth->point_set_to_infinity == 0) {
805 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
806 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
809 if (group->meth != point->meth) {
810 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
813 return group->meth->point_set_to_infinity(group, point);
816 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
817 EC_POINT *point, const BIGNUM *x,
818 const BIGNUM *y, const BIGNUM *z,
821 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
822 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
823 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
826 if (group->meth != point->meth) {
827 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
828 EC_R_INCOMPATIBLE_OBJECTS);
831 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
835 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
836 const EC_POINT *point, BIGNUM *x,
837 BIGNUM *y, BIGNUM *z,
840 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
841 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
842 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
845 if (group->meth != point->meth) {
846 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
847 EC_R_INCOMPATIBLE_OBJECTS);
850 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
854 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
855 EC_POINT *point, const BIGNUM *x,
856 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,
860 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
863 if (group->meth != point->meth) {
864 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
865 EC_R_INCOMPATIBLE_OBJECTS);
868 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
871 #ifndef OPENSSL_NO_EC2M
872 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
873 EC_POINT *point, const BIGNUM *x,
874 const BIGNUM *y, BN_CTX *ctx)
876 if (group->meth->point_set_affine_coordinates == 0) {
877 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
878 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
881 if (group->meth != point->meth) {
882 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
883 EC_R_INCOMPATIBLE_OBJECTS);
886 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
890 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
891 const EC_POINT *point, BIGNUM *x,
892 BIGNUM *y, BN_CTX *ctx)
894 if (group->meth->point_get_affine_coordinates == 0) {
895 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
896 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
899 if (group->meth != point->meth) {
900 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
901 EC_R_INCOMPATIBLE_OBJECTS);
904 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
907 #ifndef OPENSSL_NO_EC2M
908 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
909 const EC_POINT *point, BIGNUM *x,
910 BIGNUM *y, BN_CTX *ctx)
912 if (group->meth->point_get_affine_coordinates == 0) {
913 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
914 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
917 if (group->meth != point->meth) {
918 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
919 EC_R_INCOMPATIBLE_OBJECTS);
922 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
926 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
927 const EC_POINT *b, BN_CTX *ctx)
929 if (group->meth->add == 0) {
930 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
933 if ((group->meth != r->meth) || (r->meth != a->meth)
934 || (a->meth != b->meth)) {
935 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
938 return group->meth->add(group, r, a, b, ctx);
941 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
944 if (group->meth->dbl == 0) {
945 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
948 if ((group->meth != r->meth) || (r->meth != a->meth)) {
949 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
952 return group->meth->dbl(group, r, a, ctx);
955 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
957 if (group->meth->invert == 0) {
958 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
961 if (group->meth != a->meth) {
962 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
965 return group->meth->invert(group, a, ctx);
968 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
970 if (group->meth->is_at_infinity == 0) {
971 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
972 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
975 if (group->meth != point->meth) {
976 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
979 return group->meth->is_at_infinity(group, point);
982 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
985 if (group->meth->is_on_curve == 0) {
986 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
989 if (group->meth != point->meth) {
990 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
993 return group->meth->is_on_curve(group, point, ctx);
996 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
999 if (group->meth->point_cmp == 0) {
1000 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1003 if ((group->meth != a->meth) || (a->meth != b->meth)) {
1004 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
1007 return group->meth->point_cmp(group, a, b, ctx);
1010 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
1012 if (group->meth->make_affine == 0) {
1013 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1016 if (group->meth != point->meth) {
1017 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1020 return group->meth->make_affine(group, point, ctx);
1023 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
1024 EC_POINT *points[], BN_CTX *ctx)
1028 if (group->meth->points_make_affine == 0) {
1029 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1032 for (i = 0; i < num; i++) {
1033 if (group->meth != points[i]->meth) {
1034 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1038 return group->meth->points_make_affine(group, num, points, ctx);
1042 * Functions for point multiplication. If group->meth->mul is 0, we use the
1043 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1047 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1048 size_t num, const EC_POINT *points[],
1049 const BIGNUM *scalars[], BN_CTX *ctx)
1051 if (group->meth->mul == 0)
1053 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1055 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1058 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1059 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1061 /* just a convenient interface to EC_POINTs_mul() */
1063 const EC_POINT *points[1];
1064 const BIGNUM *scalars[1];
1067 scalars[0] = p_scalar;
1069 return EC_POINTs_mul(group, r, g_scalar,
1071 && p_scalar != NULL), points, scalars, ctx);
1074 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1076 if (group->meth->mul == 0)
1078 return ec_wNAF_precompute_mult(group, ctx);
1080 if (group->meth->precompute_mult != 0)
1081 return group->meth->precompute_mult(group, ctx);
1083 return 1; /* nothing to do, so report success */
1086 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1088 if (group->meth->mul == 0)
1090 return ec_wNAF_have_precompute_mult(group);
1092 if (group->meth->have_precompute_mult != 0)
1093 return group->meth->have_precompute_mult(group);
1095 return 0; /* cannot tell whether precomputation has
1100 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1101 * returns one on success. On error it returns zero.
1103 int ec_precompute_mont_data(EC_GROUP *group)
1105 BN_CTX *ctx = BN_CTX_new();
1108 if (group->mont_data) {
1109 BN_MONT_CTX_free(group->mont_data);
1110 group->mont_data = NULL;
1116 group->mont_data = BN_MONT_CTX_new();
1117 if (!group->mont_data)
1120 if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
1121 BN_MONT_CTX_free(group->mont_data);
1122 group->mont_data = NULL;