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 EC_POINT_free(group->generator);
142 BN_free(group->order);
143 BN_free(group->cofactor);
146 OPENSSL_free(group->seed);
151 void EC_GROUP_clear_free(EC_GROUP *group)
156 if (group->meth->group_clear_finish != 0)
157 group->meth->group_clear_finish(group);
158 else if (group->meth->group_finish != 0)
159 group->meth->group_finish(group);
161 EC_EX_DATA_clear_free_all_data(&group->extra_data);
163 if (group->mont_data)
164 BN_MONT_CTX_free(group->mont_data);
166 EC_POINT_clear_free(group->generator);
167 BN_clear_free(group->order);
168 BN_clear_free(group->cofactor);
169 OPENSSL_clear_free(group->seed, group->seed_len);
170 OPENSSL_clear_free(group, sizeof *group);
173 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
177 if (dest->meth->group_copy == 0) {
178 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
181 if (dest->meth != src->meth) {
182 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
188 EC_EX_DATA_free_all_data(&dest->extra_data);
190 for (d = src->extra_data; d != NULL; d = d->next) {
191 void *t = d->dup_func(d->data);
195 if (!EC_EX_DATA_set_data
196 (&dest->extra_data, t, d->dup_func, d->free_func,
201 if (src->mont_data != NULL) {
202 if (dest->mont_data == NULL) {
203 dest->mont_data = BN_MONT_CTX_new();
204 if (dest->mont_data == NULL)
207 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
210 /* src->generator == NULL */
211 if (dest->mont_data != NULL) {
212 BN_MONT_CTX_free(dest->mont_data);
213 dest->mont_data = NULL;
217 if (src->generator != NULL) {
218 if (dest->generator == NULL) {
219 dest->generator = EC_POINT_new(dest);
220 if (dest->generator == NULL)
223 if (!EC_POINT_copy(dest->generator, src->generator))
226 /* src->generator == NULL */
227 EC_POINT_clear_free(dest->generator);
228 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))
282 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
287 int EC_METHOD_get_field_type(const EC_METHOD *meth)
289 return meth->field_type;
292 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
293 const BIGNUM *order, const BIGNUM *cofactor)
295 if (generator == NULL) {
296 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
300 if (group->generator == NULL) {
301 group->generator = EC_POINT_new(group);
302 if (group->generator == NULL)
305 if (!EC_POINT_copy(group->generator, generator))
309 if (!BN_copy(group->order, order))
312 BN_zero(group->order);
314 if (cofactor != NULL) {
315 if (!BN_copy(group->cofactor, cofactor))
318 BN_zero(group->cofactor);
321 * We ignore the return value because some groups have an order with
322 * factors of two, which makes the Montgomery setup fail.
323 * |group->mont_data| will be NULL in this case.
325 ec_precompute_mont_data(group);
330 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
332 return group->generator;
335 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
337 return group->mont_data;
340 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
342 if (!BN_copy(order, group->order))
345 return !BN_is_zero(order);
348 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
351 if (!BN_copy(cofactor, group->cofactor))
354 return !BN_is_zero(group->cofactor);
357 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
359 group->curve_name = nid;
362 int EC_GROUP_get_curve_name(const EC_GROUP *group)
364 return group->curve_name;
367 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
369 group->asn1_flag = flag;
372 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
374 return group->asn1_flag;
377 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
378 point_conversion_form_t form)
380 group->asn1_form = form;
383 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
386 return group->asn1_form;
389 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
392 OPENSSL_free(group->seed);
400 if ((group->seed = OPENSSL_malloc(len)) == NULL)
402 memcpy(group->seed, p, len);
403 group->seed_len = len;
408 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
413 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
415 return group->seed_len;
418 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
419 const BIGNUM *b, BN_CTX *ctx)
421 if (group->meth->group_set_curve == 0) {
422 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
425 return group->meth->group_set_curve(group, p, a, b, ctx);
428 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
429 BIGNUM *b, BN_CTX *ctx)
431 if (group->meth->group_get_curve == 0) {
432 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
435 return group->meth->group_get_curve(group, p, a, b, ctx);
438 #ifndef OPENSSL_NO_EC2M
439 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
440 const BIGNUM *b, BN_CTX *ctx)
442 if (group->meth->group_set_curve == 0) {
443 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
444 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
447 return group->meth->group_set_curve(group, p, a, b, ctx);
450 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
451 BIGNUM *b, BN_CTX *ctx)
453 if (group->meth->group_get_curve == 0) {
454 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
455 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
458 return group->meth->group_get_curve(group, p, a, b, ctx);
462 int EC_GROUP_get_degree(const EC_GROUP *group)
464 if (group->meth->group_get_degree == 0) {
465 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
468 return group->meth->group_get_degree(group);
471 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
473 if (group->meth->group_check_discriminant == 0) {
474 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
475 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
478 return group->meth->group_check_discriminant(group, ctx);
481 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
484 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
485 BN_CTX *ctx_new = NULL;
487 /* compare the field types */
488 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
489 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
491 /* compare the curve name (if present in both) */
492 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
493 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
497 ctx_new = ctx = BN_CTX_new();
502 a1 = BN_CTX_get(ctx);
503 a2 = BN_CTX_get(ctx);
504 a3 = BN_CTX_get(ctx);
505 b1 = BN_CTX_get(ctx);
506 b2 = BN_CTX_get(ctx);
507 b3 = BN_CTX_get(ctx);
516 * XXX This approach assumes that the external representation of curves
517 * over the same field type is the same.
519 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
520 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
523 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
526 /* XXX EC_POINT_cmp() assumes that the methods are equal */
527 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
528 EC_GROUP_get0_generator(b), ctx))
532 /* compare the order and cofactor */
533 if (!EC_GROUP_get_order(a, a1, ctx) ||
534 !EC_GROUP_get_order(b, b1, ctx) ||
535 !EC_GROUP_get_cofactor(a, a2, ctx) ||
536 !EC_GROUP_get_cofactor(b, b2, ctx)) {
542 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
553 /* this has 'package' visibility */
554 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
555 void *(*dup_func) (void *),
556 void (*free_func) (void *),
557 void (*clear_free_func) (void *))
564 for (d = *ex_data; d != NULL; d = d->next) {
565 if (d->dup_func == dup_func && d->free_func == free_func
566 && d->clear_free_func == clear_free_func) {
567 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
573 /* no explicit entry needed */
576 d = OPENSSL_malloc(sizeof *d);
581 d->dup_func = dup_func;
582 d->free_func = free_func;
583 d->clear_free_func = clear_free_func;
591 /* this has 'package' visibility */
592 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
593 void *(*dup_func) (void *),
594 void (*free_func) (void *),
595 void (*clear_free_func) (void *))
597 const EC_EXTRA_DATA *d;
599 for (d = ex_data; d != NULL; d = d->next) {
600 if (d->dup_func == dup_func && d->free_func == free_func
601 && d->clear_free_func == clear_free_func)
608 /* this has 'package' visibility */
609 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
610 void *(*dup_func) (void *),
611 void (*free_func) (void *),
612 void (*clear_free_func) (void *))
619 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
620 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
621 && (*p)->clear_free_func == clear_free_func) {
622 EC_EXTRA_DATA *next = (*p)->next;
624 (*p)->free_func((*p)->data);
633 /* this has 'package' visibility */
634 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
635 void *(*dup_func) (void *),
636 void (*free_func) (void *),
637 void (*clear_free_func) (void *))
644 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
645 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
646 && (*p)->clear_free_func == clear_free_func) {
647 EC_EXTRA_DATA *next = (*p)->next;
649 (*p)->clear_free_func((*p)->data);
658 /* this has 'package' visibility */
659 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
668 EC_EXTRA_DATA *next = d->next;
670 d->free_func(d->data);
678 /* this has 'package' visibility */
679 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
688 EC_EXTRA_DATA *next = d->next;
690 d->clear_free_func(d->data);
698 /* functions for EC_POINT objects */
700 EC_POINT *EC_POINT_new(const EC_GROUP *group)
705 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
708 if (group->meth->point_init == 0) {
709 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
713 ret = OPENSSL_malloc(sizeof *ret);
715 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
719 ret->meth = group->meth;
721 if (!ret->meth->point_init(ret)) {
729 void EC_POINT_free(EC_POINT *point)
734 if (point->meth->point_finish != 0)
735 point->meth->point_finish(point);
739 void EC_POINT_clear_free(EC_POINT *point)
744 if (point->meth->point_clear_finish != 0)
745 point->meth->point_clear_finish(point);
746 else if (point->meth->point_finish != 0)
747 point->meth->point_finish(point);
748 OPENSSL_clear_free(point, sizeof *point);
751 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
753 if (dest->meth->point_copy == 0) {
754 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
757 if (dest->meth != src->meth) {
758 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
763 return dest->meth->point_copy(dest, src);
766 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
774 t = EC_POINT_new(group);
777 r = EC_POINT_copy(t, a);
785 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
790 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
792 if (group->meth->point_set_to_infinity == 0) {
793 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
794 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
797 if (group->meth != point->meth) {
798 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
801 return group->meth->point_set_to_infinity(group, point);
804 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
805 EC_POINT *point, const BIGNUM *x,
806 const BIGNUM *y, const BIGNUM *z,
809 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
810 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
811 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
814 if (group->meth != point->meth) {
815 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
816 EC_R_INCOMPATIBLE_OBJECTS);
819 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
823 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
824 const EC_POINT *point, BIGNUM *x,
825 BIGNUM *y, BIGNUM *z,
828 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
829 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
830 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
833 if (group->meth != point->meth) {
834 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
835 EC_R_INCOMPATIBLE_OBJECTS);
838 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
842 int EC_POINT_set_affine_coordinates_GFp(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_GFP,
848 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
851 if (group->meth != point->meth) {
852 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
853 EC_R_INCOMPATIBLE_OBJECTS);
856 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
859 #ifndef OPENSSL_NO_EC2M
860 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
861 EC_POINT *point, const BIGNUM *x,
862 const BIGNUM *y, BN_CTX *ctx)
864 if (group->meth->point_set_affine_coordinates == 0) {
865 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
866 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
869 if (group->meth != point->meth) {
870 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
871 EC_R_INCOMPATIBLE_OBJECTS);
874 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
878 int EC_POINT_get_affine_coordinates_GFp(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_GFP,
884 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
887 if (group->meth != point->meth) {
888 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
889 EC_R_INCOMPATIBLE_OBJECTS);
892 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
895 #ifndef OPENSSL_NO_EC2M
896 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
897 const EC_POINT *point, BIGNUM *x,
898 BIGNUM *y, BN_CTX *ctx)
900 if (group->meth->point_get_affine_coordinates == 0) {
901 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
902 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
905 if (group->meth != point->meth) {
906 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
907 EC_R_INCOMPATIBLE_OBJECTS);
910 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
914 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
915 const EC_POINT *b, BN_CTX *ctx)
917 if (group->meth->add == 0) {
918 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
921 if ((group->meth != r->meth) || (r->meth != a->meth)
922 || (a->meth != b->meth)) {
923 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
926 return group->meth->add(group, r, a, b, ctx);
929 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
932 if (group->meth->dbl == 0) {
933 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
936 if ((group->meth != r->meth) || (r->meth != a->meth)) {
937 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
940 return group->meth->dbl(group, r, a, ctx);
943 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
945 if (group->meth->invert == 0) {
946 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
949 if (group->meth != a->meth) {
950 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
953 return group->meth->invert(group, a, ctx);
956 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
958 if (group->meth->is_at_infinity == 0) {
959 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
960 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
963 if (group->meth != point->meth) {
964 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
967 return group->meth->is_at_infinity(group, point);
970 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
973 if (group->meth->is_on_curve == 0) {
974 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
977 if (group->meth != point->meth) {
978 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
981 return group->meth->is_on_curve(group, point, ctx);
984 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
987 if (group->meth->point_cmp == 0) {
988 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
991 if ((group->meth != a->meth) || (a->meth != b->meth)) {
992 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
995 return group->meth->point_cmp(group, a, b, ctx);
998 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
1000 if (group->meth->make_affine == 0) {
1001 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1004 if (group->meth != point->meth) {
1005 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1008 return group->meth->make_affine(group, point, ctx);
1011 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
1012 EC_POINT *points[], BN_CTX *ctx)
1016 if (group->meth->points_make_affine == 0) {
1017 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1020 for (i = 0; i < num; i++) {
1021 if (group->meth != points[i]->meth) {
1022 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1026 return group->meth->points_make_affine(group, num, points, ctx);
1030 * Functions for point multiplication. If group->meth->mul is 0, we use the
1031 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1035 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1036 size_t num, const EC_POINT *points[],
1037 const BIGNUM *scalars[], BN_CTX *ctx)
1039 if (group->meth->mul == 0)
1041 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1043 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1046 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1047 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1049 /* just a convenient interface to EC_POINTs_mul() */
1051 const EC_POINT *points[1];
1052 const BIGNUM *scalars[1];
1055 scalars[0] = p_scalar;
1057 return EC_POINTs_mul(group, r, g_scalar,
1059 && p_scalar != NULL), points, scalars, ctx);
1062 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1064 if (group->meth->mul == 0)
1066 return ec_wNAF_precompute_mult(group, ctx);
1068 if (group->meth->precompute_mult != 0)
1069 return group->meth->precompute_mult(group, ctx);
1071 return 1; /* nothing to do, so report success */
1074 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1076 if (group->meth->mul == 0)
1078 return ec_wNAF_have_precompute_mult(group);
1080 if (group->meth->have_precompute_mult != 0)
1081 return group->meth->have_precompute_mult(group);
1083 return 0; /* cannot tell whether precomputation has
1088 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1089 * returns one on success. On error it returns zero.
1091 int ec_precompute_mont_data(EC_GROUP *group)
1093 BN_CTX *ctx = BN_CTX_new();
1096 if (group->mont_data) {
1097 BN_MONT_CTX_free(group->mont_data);
1098 group->mont_data = NULL;
1104 group->mont_data = BN_MONT_CTX_new();
1105 if (!group->mont_data)
1108 if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
1109 BN_MONT_CTX_free(group->mont_data);
1110 group->mont_data = NULL;