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 BN_init(&ret->order);
101 BN_init(&ret->cofactor);
104 ret->asn1_flag = ~EC_GROUP_ASN1_FLAG_MASK;
105 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
110 if (!meth->group_init(ret)) {
118 void EC_GROUP_free(EC_GROUP *group)
123 if (group->meth->group_finish != 0)
124 group->meth->group_finish(group);
126 EC_EX_DATA_free_all_data(&group->extra_data);
128 if (EC_GROUP_VERSION(group) && group->mont_data)
129 BN_MONT_CTX_free(group->mont_data);
131 if (group->generator != NULL)
132 EC_POINT_free(group->generator);
133 BN_free(&group->order);
134 BN_free(&group->cofactor);
137 OPENSSL_free(group->seed);
142 void EC_GROUP_clear_free(EC_GROUP *group)
147 if (group->meth->group_clear_finish != 0)
148 group->meth->group_clear_finish(group);
149 else if (group->meth->group_finish != 0)
150 group->meth->group_finish(group);
152 EC_EX_DATA_clear_free_all_data(&group->extra_data);
154 if (EC_GROUP_VERSION(group) && group->mont_data)
155 BN_MONT_CTX_free(group->mont_data);
157 if (group->generator != NULL)
158 EC_POINT_clear_free(group->generator);
159 BN_clear_free(&group->order);
160 BN_clear_free(&group->cofactor);
163 OPENSSL_cleanse(group->seed, group->seed_len);
164 OPENSSL_free(group->seed);
167 OPENSSL_cleanse(group, sizeof *group);
171 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
175 if (dest->meth->group_copy == 0) {
176 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
179 if (dest->meth != src->meth) {
180 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
186 EC_EX_DATA_free_all_data(&dest->extra_data);
188 for (d = src->extra_data; d != NULL; d = d->next) {
189 void *t = d->dup_func(d->data);
193 if (!EC_EX_DATA_set_data
194 (&dest->extra_data, t, d->dup_func, d->free_func,
199 if (EC_GROUP_VERSION(src) && src->mont_data != NULL) {
200 if (dest->mont_data == NULL) {
201 dest->mont_data = BN_MONT_CTX_new();
202 if (dest->mont_data == NULL)
205 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
208 /* src->generator == NULL */
209 if (EC_GROUP_VERSION(dest) && dest->mont_data != NULL) {
210 BN_MONT_CTX_free(dest->mont_data);
211 dest->mont_data = NULL;
215 if (src->generator != NULL) {
216 if (dest->generator == NULL) {
217 dest->generator = EC_POINT_new(dest);
218 if (dest->generator == NULL)
221 if (!EC_POINT_copy(dest->generator, src->generator))
224 /* src->generator == NULL */
225 if (dest->generator != NULL) {
226 EC_POINT_clear_free(dest->generator);
227 dest->generator = NULL;
231 if (!BN_copy(&dest->order, &src->order))
233 if (!BN_copy(&dest->cofactor, &src->cofactor))
236 dest->curve_name = src->curve_name;
237 dest->asn1_flag = src->asn1_flag;
238 dest->asn1_form = src->asn1_form;
242 OPENSSL_free(dest->seed);
243 dest->seed = OPENSSL_malloc(src->seed_len);
244 if (dest->seed == NULL)
246 if (!memcpy(dest->seed, src->seed, src->seed_len))
248 dest->seed_len = src->seed_len;
251 OPENSSL_free(dest->seed);
256 return dest->meth->group_copy(dest, src);
259 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
267 if ((t = EC_GROUP_new(a->meth)) == NULL)
269 if (!EC_GROUP_copy(t, a))
283 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
288 int EC_METHOD_get_field_type(const EC_METHOD *meth)
290 return meth->field_type;
293 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
294 const BIGNUM *order, const BIGNUM *cofactor)
296 if (generator == NULL) {
297 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
301 if (group->generator == NULL) {
302 group->generator = EC_POINT_new(group);
303 if (group->generator == NULL)
306 if (!EC_POINT_copy(group->generator, generator))
310 if (!BN_copy(&group->order, order))
313 BN_zero(&group->order);
315 if (cofactor != NULL) {
316 if (!BN_copy(&group->cofactor, cofactor))
319 BN_zero(&group->cofactor);
322 * We ignore the return value because some groups have an order with
323 * factors of two, which makes the Montgomery setup fail.
324 * |group->mont_data| will be NULL in this case.
326 ec_precompute_mont_data(group);
331 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
333 return group->generator;
336 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
338 return EC_GROUP_VERSION(group) ? group->mont_data : NULL;
341 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
343 if (!BN_copy(order, &group->order))
346 return !BN_is_zero(order);
349 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
352 if (!BN_copy(cofactor, &group->cofactor))
355 return !BN_is_zero(&group->cofactor);
358 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
360 group->curve_name = nid;
363 int EC_GROUP_get_curve_name(const EC_GROUP *group)
365 return group->curve_name;
368 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
370 group->asn1_flag &= ~EC_GROUP_ASN1_FLAG_MASK;
371 group->asn1_flag |= flag & EC_GROUP_ASN1_FLAG_MASK;
374 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
376 return group->asn1_flag & EC_GROUP_ASN1_FLAG_MASK;
379 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
380 point_conversion_form_t form)
382 group->asn1_form = form;
385 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
388 return group->asn1_form;
391 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
394 OPENSSL_free(group->seed);
402 if ((group->seed = OPENSSL_malloc(len)) == NULL)
404 memcpy(group->seed, p, len);
405 group->seed_len = len;
410 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
415 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
417 return group->seed_len;
420 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
421 const BIGNUM *b, BN_CTX *ctx)
423 if (group->meth->group_set_curve == 0) {
424 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
427 return group->meth->group_set_curve(group, p, a, b, ctx);
430 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
431 BIGNUM *b, BN_CTX *ctx)
433 if (group->meth->group_get_curve == 0) {
434 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
437 return group->meth->group_get_curve(group, p, a, b, ctx);
440 #ifndef OPENSSL_NO_EC2M
441 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
442 const BIGNUM *b, BN_CTX *ctx)
444 if (group->meth->group_set_curve == 0) {
445 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
446 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
449 return group->meth->group_set_curve(group, p, a, b, ctx);
452 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
453 BIGNUM *b, BN_CTX *ctx)
455 if (group->meth->group_get_curve == 0) {
456 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
457 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
460 return group->meth->group_get_curve(group, p, a, b, ctx);
464 int EC_GROUP_get_degree(const EC_GROUP *group)
466 if (group->meth->group_get_degree == 0) {
467 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
470 return group->meth->group_get_degree(group);
473 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
475 if (group->meth->group_check_discriminant == 0) {
476 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
477 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
480 return group->meth->group_check_discriminant(group, ctx);
483 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
486 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
487 BN_CTX *ctx_new = NULL;
489 /* compare the field types */
490 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
491 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
493 /* compare the curve name (if present in both) */
494 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
495 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
499 ctx_new = ctx = BN_CTX_new();
504 a1 = BN_CTX_get(ctx);
505 a2 = BN_CTX_get(ctx);
506 a3 = BN_CTX_get(ctx);
507 b1 = BN_CTX_get(ctx);
508 b2 = BN_CTX_get(ctx);
509 b3 = BN_CTX_get(ctx);
518 * XXX This approach assumes that the external representation of curves
519 * over the same field type is the same.
521 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
522 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
525 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
528 /* XXX EC_POINT_cmp() assumes that the methods are equal */
529 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
530 EC_GROUP_get0_generator(b), ctx))
534 /* compare the order and cofactor */
535 if (!EC_GROUP_get_order(a, a1, ctx) ||
536 !EC_GROUP_get_order(b, b1, ctx) ||
537 !EC_GROUP_get_cofactor(a, a2, ctx) ||
538 !EC_GROUP_get_cofactor(b, b2, ctx)) {
544 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
555 /* this has 'package' visibility */
556 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
557 void *(*dup_func) (void *),
558 void (*free_func) (void *),
559 void (*clear_free_func) (void *))
566 for (d = *ex_data; d != NULL; d = d->next) {
567 if (d->dup_func == dup_func && d->free_func == free_func
568 && d->clear_free_func == clear_free_func) {
569 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
575 /* no explicit entry needed */
578 d = OPENSSL_malloc(sizeof *d);
583 d->dup_func = dup_func;
584 d->free_func = free_func;
585 d->clear_free_func = clear_free_func;
593 /* this has 'package' visibility */
594 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
595 void *(*dup_func) (void *),
596 void (*free_func) (void *),
597 void (*clear_free_func) (void *))
599 const EC_EXTRA_DATA *d;
601 for (d = ex_data; d != NULL; d = d->next) {
602 if (d->dup_func == dup_func && d->free_func == free_func
603 && d->clear_free_func == clear_free_func)
610 /* this has 'package' visibility */
611 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
612 void *(*dup_func) (void *),
613 void (*free_func) (void *),
614 void (*clear_free_func) (void *))
621 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
622 if ((*p)->dup_func == dup_func && (*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 */
636 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
637 void *(*dup_func) (void *),
638 void (*free_func) (void *),
639 void (*clear_free_func) (void *))
646 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
647 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
648 && (*p)->clear_free_func == clear_free_func) {
649 EC_EXTRA_DATA *next = (*p)->next;
651 (*p)->clear_free_func((*p)->data);
660 /* this has 'package' visibility */
661 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
670 EC_EXTRA_DATA *next = d->next;
672 d->free_func(d->data);
680 /* this has 'package' visibility */
681 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
690 EC_EXTRA_DATA *next = d->next;
692 d->clear_free_func(d->data);
700 /* functions for EC_POINT objects */
702 EC_POINT *EC_POINT_new(const EC_GROUP *group)
707 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
710 if (group->meth->point_init == 0) {
711 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
715 ret = OPENSSL_malloc(sizeof *ret);
717 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
721 ret->meth = group->meth;
723 if (!ret->meth->point_init(ret)) {
731 void EC_POINT_free(EC_POINT *point)
736 if (point->meth->point_finish != 0)
737 point->meth->point_finish(point);
741 void EC_POINT_clear_free(EC_POINT *point)
746 if (point->meth->point_clear_finish != 0)
747 point->meth->point_clear_finish(point);
748 else if (point->meth->point_finish != 0)
749 point->meth->point_finish(point);
750 OPENSSL_cleanse(point, sizeof *point);
754 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
756 if (dest->meth->point_copy == 0) {
757 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
760 if (dest->meth != src->meth) {
761 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
766 return dest->meth->point_copy(dest, src);
769 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
777 t = EC_POINT_new(group);
780 r = EC_POINT_copy(t, a);
788 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
793 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
795 if (group->meth->point_set_to_infinity == 0) {
796 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
797 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
800 if (group->meth != point->meth) {
801 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
804 return group->meth->point_set_to_infinity(group, point);
807 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
808 EC_POINT *point, const BIGNUM *x,
809 const BIGNUM *y, const BIGNUM *z,
812 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
813 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
814 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
817 if (group->meth != point->meth) {
818 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
819 EC_R_INCOMPATIBLE_OBJECTS);
822 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
826 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
827 const EC_POINT *point, BIGNUM *x,
828 BIGNUM *y, BIGNUM *z,
831 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
832 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
833 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
836 if (group->meth != point->meth) {
837 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
838 EC_R_INCOMPATIBLE_OBJECTS);
841 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
845 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
846 EC_POINT *point, const BIGNUM *x,
847 const BIGNUM *y, BN_CTX *ctx)
849 if (group->meth->point_set_affine_coordinates == 0) {
850 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
851 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
854 if (group->meth != point->meth) {
855 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
856 EC_R_INCOMPATIBLE_OBJECTS);
859 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
862 #ifndef OPENSSL_NO_EC2M
863 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
864 EC_POINT *point, const BIGNUM *x,
865 const BIGNUM *y, BN_CTX *ctx)
867 if (group->meth->point_set_affine_coordinates == 0) {
868 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
869 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
872 if (group->meth != point->meth) {
873 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
874 EC_R_INCOMPATIBLE_OBJECTS);
877 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
881 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
882 const EC_POINT *point, BIGNUM *x,
883 BIGNUM *y, BN_CTX *ctx)
885 if (group->meth->point_get_affine_coordinates == 0) {
886 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
887 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
890 if (group->meth != point->meth) {
891 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
892 EC_R_INCOMPATIBLE_OBJECTS);
895 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
898 #ifndef OPENSSL_NO_EC2M
899 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
900 const EC_POINT *point, BIGNUM *x,
901 BIGNUM *y, BN_CTX *ctx)
903 if (group->meth->point_get_affine_coordinates == 0) {
904 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
905 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
908 if (group->meth != point->meth) {
909 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
910 EC_R_INCOMPATIBLE_OBJECTS);
913 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
917 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
918 const EC_POINT *b, BN_CTX *ctx)
920 if (group->meth->add == 0) {
921 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
924 if ((group->meth != r->meth) || (r->meth != a->meth)
925 || (a->meth != b->meth)) {
926 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
929 return group->meth->add(group, r, a, b, ctx);
932 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
935 if (group->meth->dbl == 0) {
936 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
939 if ((group->meth != r->meth) || (r->meth != a->meth)) {
940 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
943 return group->meth->dbl(group, r, a, ctx);
946 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
948 if (group->meth->invert == 0) {
949 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
952 if (group->meth != a->meth) {
953 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
956 return group->meth->invert(group, a, ctx);
959 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
961 if (group->meth->is_at_infinity == 0) {
962 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
963 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
966 if (group->meth != point->meth) {
967 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
970 return group->meth->is_at_infinity(group, point);
973 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
976 if (group->meth->is_on_curve == 0) {
977 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
980 if (group->meth != point->meth) {
981 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
984 return group->meth->is_on_curve(group, point, ctx);
987 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
990 if (group->meth->point_cmp == 0) {
991 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
994 if ((group->meth != a->meth) || (a->meth != b->meth)) {
995 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
998 return group->meth->point_cmp(group, a, b, ctx);
1001 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
1003 if (group->meth->make_affine == 0) {
1004 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1007 if (group->meth != point->meth) {
1008 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1011 return group->meth->make_affine(group, point, ctx);
1014 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
1015 EC_POINT *points[], BN_CTX *ctx)
1019 if (group->meth->points_make_affine == 0) {
1020 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1023 for (i = 0; i < num; i++) {
1024 if (group->meth != points[i]->meth) {
1025 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1029 return group->meth->points_make_affine(group, num, points, ctx);
1033 * Functions for point multiplication. If group->meth->mul is 0, we use the
1034 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1038 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1039 size_t num, const EC_POINT *points[],
1040 const BIGNUM *scalars[], BN_CTX *ctx)
1042 if (group->meth->mul == 0)
1044 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1046 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1049 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1050 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1052 /* just a convenient interface to EC_POINTs_mul() */
1054 const EC_POINT *points[1];
1055 const BIGNUM *scalars[1];
1058 scalars[0] = p_scalar;
1060 return EC_POINTs_mul(group, r, g_scalar,
1062 && p_scalar != NULL), points, scalars, ctx);
1065 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1067 if (group->meth->mul == 0)
1069 return ec_wNAF_precompute_mult(group, ctx);
1071 if (group->meth->precompute_mult != 0)
1072 return group->meth->precompute_mult(group, ctx);
1074 return 1; /* nothing to do, so report success */
1077 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1079 if (group->meth->mul == 0)
1081 return ec_wNAF_have_precompute_mult(group);
1083 if (group->meth->have_precompute_mult != 0)
1084 return group->meth->have_precompute_mult(group);
1086 return 0; /* cannot tell whether precomputation has
1091 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1092 * returns one on success. On error it returns zero.
1094 int ec_precompute_mont_data(EC_GROUP *group)
1096 BN_CTX *ctx = BN_CTX_new();
1099 if (!EC_GROUP_VERSION(group))
1102 if (group->mont_data) {
1103 BN_MONT_CTX_free(group->mont_data);
1104 group->mont_data = NULL;
1110 group->mont_data = BN_MONT_CTX_new();
1111 if (!group->mont_data)
1114 if (!BN_MONT_CTX_set(group->mont_data, &group->order, ctx)) {
1115 BN_MONT_CTX_free(group->mont_data);
1116 group->mont_data = NULL;