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);
136 BN_MONT_CTX_free(group->mont_data);
138 EC_POINT_free(group->generator);
139 BN_free(group->order);
140 BN_free(group->cofactor);
143 OPENSSL_free(group->seed);
148 void EC_GROUP_clear_free(EC_GROUP *group)
153 if (group->meth->group_clear_finish != 0)
154 group->meth->group_clear_finish(group);
155 else if (group->meth->group_finish != 0)
156 group->meth->group_finish(group);
158 EC_EX_DATA_clear_free_all_data(&group->extra_data);
160 BN_MONT_CTX_free(group->mont_data);
162 EC_POINT_clear_free(group->generator);
163 BN_clear_free(group->order);
164 BN_clear_free(group->cofactor);
165 OPENSSL_clear_free(group->seed, group->seed_len);
166 OPENSSL_clear_free(group, sizeof *group);
169 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
173 if (dest->meth->group_copy == 0) {
174 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
177 if (dest->meth != src->meth) {
178 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
184 EC_EX_DATA_free_all_data(&dest->extra_data);
186 for (d = src->extra_data; d != NULL; d = d->next) {
187 void *t = d->dup_func(d->data);
191 if (!EC_EX_DATA_set_data
192 (&dest->extra_data, t, d->dup_func, d->free_func,
197 if (src->mont_data != NULL) {
198 if (dest->mont_data == NULL) {
199 dest->mont_data = BN_MONT_CTX_new();
200 if (dest->mont_data == NULL)
203 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
206 /* src->generator == NULL */
207 BN_MONT_CTX_free(dest->mont_data);
208 dest->mont_data = NULL;
211 if (src->generator != NULL) {
212 if (dest->generator == NULL) {
213 dest->generator = EC_POINT_new(dest);
214 if (dest->generator == NULL)
217 if (!EC_POINT_copy(dest->generator, src->generator))
220 /* src->generator == NULL */
221 EC_POINT_clear_free(dest->generator);
222 dest->generator = NULL;
225 if (!BN_copy(dest->order, src->order))
227 if (!BN_copy(dest->cofactor, src->cofactor))
230 dest->curve_name = src->curve_name;
231 dest->asn1_flag = src->asn1_flag;
232 dest->asn1_form = src->asn1_form;
236 OPENSSL_free(dest->seed);
237 dest->seed = OPENSSL_malloc(src->seed_len);
238 if (dest->seed == NULL)
240 if (!memcpy(dest->seed, src->seed, src->seed_len))
242 dest->seed_len = src->seed_len;
245 OPENSSL_free(dest->seed);
250 return dest->meth->group_copy(dest, src);
253 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
261 if ((t = EC_GROUP_new(a->meth)) == NULL)
263 if (!EC_GROUP_copy(t, a))
276 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
281 int EC_METHOD_get_field_type(const EC_METHOD *meth)
283 return meth->field_type;
286 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
287 const BIGNUM *order, const BIGNUM *cofactor)
289 if (generator == NULL) {
290 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
294 if (group->generator == NULL) {
295 group->generator = EC_POINT_new(group);
296 if (group->generator == NULL)
299 if (!EC_POINT_copy(group->generator, generator))
303 if (!BN_copy(group->order, order))
306 BN_zero(group->order);
308 if (cofactor != NULL) {
309 if (!BN_copy(group->cofactor, cofactor))
312 BN_zero(group->cofactor);
315 * We ignore the return value because some groups have an order with
316 * factors of two, which makes the Montgomery setup fail.
317 * |group->mont_data| will be NULL in this case.
319 ec_precompute_mont_data(group);
324 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
326 return group->generator;
329 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
331 return group->mont_data;
334 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
336 if (!BN_copy(order, group->order))
339 return !BN_is_zero(order);
342 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
345 if (!BN_copy(cofactor, group->cofactor))
348 return !BN_is_zero(group->cofactor);
351 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
353 group->curve_name = nid;
356 int EC_GROUP_get_curve_name(const EC_GROUP *group)
358 return group->curve_name;
361 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
363 group->asn1_flag = flag;
366 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
368 return group->asn1_flag;
371 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
372 point_conversion_form_t form)
374 group->asn1_form = form;
377 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
380 return group->asn1_form;
383 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
386 OPENSSL_free(group->seed);
394 if ((group->seed = OPENSSL_malloc(len)) == NULL)
396 memcpy(group->seed, p, len);
397 group->seed_len = len;
402 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
407 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
409 return group->seed_len;
412 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
413 const BIGNUM *b, BN_CTX *ctx)
415 if (group->meth->group_set_curve == 0) {
416 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
419 return group->meth->group_set_curve(group, p, a, b, ctx);
422 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
423 BIGNUM *b, BN_CTX *ctx)
425 if (group->meth->group_get_curve == 0) {
426 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
429 return group->meth->group_get_curve(group, p, a, b, ctx);
432 #ifndef OPENSSL_NO_EC2M
433 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
434 const BIGNUM *b, BN_CTX *ctx)
436 if (group->meth->group_set_curve == 0) {
437 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
438 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
441 return group->meth->group_set_curve(group, p, a, b, ctx);
444 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
445 BIGNUM *b, BN_CTX *ctx)
447 if (group->meth->group_get_curve == 0) {
448 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
449 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
452 return group->meth->group_get_curve(group, p, a, b, ctx);
456 int EC_GROUP_get_degree(const EC_GROUP *group)
458 if (group->meth->group_get_degree == 0) {
459 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
462 return group->meth->group_get_degree(group);
465 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
467 if (group->meth->group_check_discriminant == 0) {
468 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
469 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
472 return group->meth->group_check_discriminant(group, ctx);
475 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
478 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
479 BN_CTX *ctx_new = NULL;
481 /* compare the field types */
482 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
483 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
485 /* compare the curve name (if present in both) */
486 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
487 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
491 ctx_new = ctx = BN_CTX_new();
496 a1 = BN_CTX_get(ctx);
497 a2 = BN_CTX_get(ctx);
498 a3 = BN_CTX_get(ctx);
499 b1 = BN_CTX_get(ctx);
500 b2 = BN_CTX_get(ctx);
501 b3 = BN_CTX_get(ctx);
504 BN_CTX_free(ctx_new);
509 * XXX This approach assumes that the external representation of curves
510 * over the same field type is the same.
512 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
513 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
516 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
519 /* XXX EC_POINT_cmp() assumes that the methods are equal */
520 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
521 EC_GROUP_get0_generator(b), ctx))
525 /* compare the order and cofactor */
526 if (!EC_GROUP_get_order(a, a1, ctx) ||
527 !EC_GROUP_get_order(b, b1, ctx) ||
528 !EC_GROUP_get_cofactor(a, a2, ctx) ||
529 !EC_GROUP_get_cofactor(b, b2, ctx)) {
531 BN_CTX_free(ctx_new);
534 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
539 BN_CTX_free(ctx_new);
544 /* this has 'package' visibility */
545 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
546 void *(*dup_func) (void *),
547 void (*free_func) (void *),
548 void (*clear_free_func) (void *))
555 for (d = *ex_data; d != NULL; d = d->next) {
556 if (d->dup_func == dup_func && d->free_func == free_func
557 && d->clear_free_func == clear_free_func) {
558 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
564 /* no explicit entry needed */
567 d = OPENSSL_malloc(sizeof *d);
572 d->dup_func = dup_func;
573 d->free_func = free_func;
574 d->clear_free_func = clear_free_func;
582 /* this has 'package' visibility */
583 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
584 void *(*dup_func) (void *),
585 void (*free_func) (void *),
586 void (*clear_free_func) (void *))
588 const EC_EXTRA_DATA *d;
590 for (d = ex_data; d != NULL; d = d->next) {
591 if (d->dup_func == dup_func && d->free_func == free_func
592 && d->clear_free_func == clear_free_func)
599 /* this has 'package' visibility */
600 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
601 void *(*dup_func) (void *),
602 void (*free_func) (void *),
603 void (*clear_free_func) (void *))
610 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
611 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
612 && (*p)->clear_free_func == clear_free_func) {
613 EC_EXTRA_DATA *next = (*p)->next;
615 (*p)->free_func((*p)->data);
624 /* this has 'package' visibility */
625 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
626 void *(*dup_func) (void *),
627 void (*free_func) (void *),
628 void (*clear_free_func) (void *))
635 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
636 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
637 && (*p)->clear_free_func == clear_free_func) {
638 EC_EXTRA_DATA *next = (*p)->next;
640 (*p)->clear_free_func((*p)->data);
649 /* this has 'package' visibility */
650 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
659 EC_EXTRA_DATA *next = d->next;
661 d->free_func(d->data);
669 /* this has 'package' visibility */
670 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
679 EC_EXTRA_DATA *next = d->next;
681 d->clear_free_func(d->data);
689 /* functions for EC_POINT objects */
691 EC_POINT *EC_POINT_new(const EC_GROUP *group)
696 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
699 if (group->meth->point_init == 0) {
700 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
704 ret = OPENSSL_malloc(sizeof *ret);
706 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
710 ret->meth = group->meth;
712 if (!ret->meth->point_init(ret)) {
720 void EC_POINT_free(EC_POINT *point)
725 if (point->meth->point_finish != 0)
726 point->meth->point_finish(point);
730 void EC_POINT_clear_free(EC_POINT *point)
735 if (point->meth->point_clear_finish != 0)
736 point->meth->point_clear_finish(point);
737 else if (point->meth->point_finish != 0)
738 point->meth->point_finish(point);
739 OPENSSL_clear_free(point, sizeof *point);
742 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
744 if (dest->meth->point_copy == 0) {
745 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
748 if (dest->meth != src->meth) {
749 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
754 return dest->meth->point_copy(dest, src);
757 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
765 t = EC_POINT_new(group);
768 r = EC_POINT_copy(t, a);
776 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
781 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
783 if (group->meth->point_set_to_infinity == 0) {
784 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
785 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
788 if (group->meth != point->meth) {
789 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
792 return group->meth->point_set_to_infinity(group, point);
795 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
796 EC_POINT *point, const BIGNUM *x,
797 const BIGNUM *y, const BIGNUM *z,
800 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
801 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
802 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
805 if (group->meth != point->meth) {
806 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
807 EC_R_INCOMPATIBLE_OBJECTS);
810 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
814 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
815 const EC_POINT *point, BIGNUM *x,
816 BIGNUM *y, BIGNUM *z,
819 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
820 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
821 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
824 if (group->meth != point->meth) {
825 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
826 EC_R_INCOMPATIBLE_OBJECTS);
829 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
833 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
834 EC_POINT *point, const BIGNUM *x,
835 const BIGNUM *y, BN_CTX *ctx)
837 if (group->meth->point_set_affine_coordinates == 0) {
838 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
839 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
842 if (group->meth != point->meth) {
843 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
844 EC_R_INCOMPATIBLE_OBJECTS);
847 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
850 #ifndef OPENSSL_NO_EC2M
851 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
852 EC_POINT *point, const BIGNUM *x,
853 const BIGNUM *y, BN_CTX *ctx)
855 if (group->meth->point_set_affine_coordinates == 0) {
856 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
857 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
860 if (group->meth != point->meth) {
861 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
862 EC_R_INCOMPATIBLE_OBJECTS);
865 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
869 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
870 const EC_POINT *point, BIGNUM *x,
871 BIGNUM *y, BN_CTX *ctx)
873 if (group->meth->point_get_affine_coordinates == 0) {
874 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
875 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
878 if (group->meth != point->meth) {
879 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
880 EC_R_INCOMPATIBLE_OBJECTS);
883 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
886 #ifndef OPENSSL_NO_EC2M
887 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
888 const EC_POINT *point, BIGNUM *x,
889 BIGNUM *y, BN_CTX *ctx)
891 if (group->meth->point_get_affine_coordinates == 0) {
892 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
893 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
896 if (group->meth != point->meth) {
897 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
898 EC_R_INCOMPATIBLE_OBJECTS);
901 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
905 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
906 const EC_POINT *b, BN_CTX *ctx)
908 if (group->meth->add == 0) {
909 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
912 if ((group->meth != r->meth) || (r->meth != a->meth)
913 || (a->meth != b->meth)) {
914 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
917 return group->meth->add(group, r, a, b, ctx);
920 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
923 if (group->meth->dbl == 0) {
924 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
927 if ((group->meth != r->meth) || (r->meth != a->meth)) {
928 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
931 return group->meth->dbl(group, r, a, ctx);
934 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
936 if (group->meth->invert == 0) {
937 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
940 if (group->meth != a->meth) {
941 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
944 return group->meth->invert(group, a, ctx);
947 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
949 if (group->meth->is_at_infinity == 0) {
950 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
951 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
954 if (group->meth != point->meth) {
955 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
958 return group->meth->is_at_infinity(group, point);
961 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
964 if (group->meth->is_on_curve == 0) {
965 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
968 if (group->meth != point->meth) {
969 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
972 return group->meth->is_on_curve(group, point, ctx);
975 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
978 if (group->meth->point_cmp == 0) {
979 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
982 if ((group->meth != a->meth) || (a->meth != b->meth)) {
983 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
986 return group->meth->point_cmp(group, a, b, ctx);
989 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
991 if (group->meth->make_affine == 0) {
992 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
995 if (group->meth != point->meth) {
996 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
999 return group->meth->make_affine(group, point, ctx);
1002 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
1003 EC_POINT *points[], BN_CTX *ctx)
1007 if (group->meth->points_make_affine == 0) {
1008 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1011 for (i = 0; i < num; i++) {
1012 if (group->meth != points[i]->meth) {
1013 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1017 return group->meth->points_make_affine(group, num, points, ctx);
1021 * Functions for point multiplication. If group->meth->mul is 0, we use the
1022 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1026 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1027 size_t num, const EC_POINT *points[],
1028 const BIGNUM *scalars[], BN_CTX *ctx)
1030 if (group->meth->mul == 0)
1032 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1034 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1037 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1038 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1040 /* just a convenient interface to EC_POINTs_mul() */
1042 const EC_POINT *points[1];
1043 const BIGNUM *scalars[1];
1046 scalars[0] = p_scalar;
1048 return EC_POINTs_mul(group, r, g_scalar,
1050 && p_scalar != NULL), points, scalars, ctx);
1053 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1055 if (group->meth->mul == 0)
1057 return ec_wNAF_precompute_mult(group, ctx);
1059 if (group->meth->precompute_mult != 0)
1060 return group->meth->precompute_mult(group, ctx);
1062 return 1; /* nothing to do, so report success */
1065 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1067 if (group->meth->mul == 0)
1069 return ec_wNAF_have_precompute_mult(group);
1071 if (group->meth->have_precompute_mult != 0)
1072 return group->meth->have_precompute_mult(group);
1074 return 0; /* cannot tell whether precomputation has
1079 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1080 * returns one on success. On error it returns zero.
1082 int ec_precompute_mont_data(EC_GROUP *group)
1084 BN_CTX *ctx = BN_CTX_new();
1087 BN_MONT_CTX_free(group->mont_data);
1088 group->mont_data = NULL;
1093 group->mont_data = BN_MONT_CTX_new();
1094 if (!group->mont_data)
1097 if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
1098 BN_MONT_CTX_free(group->mont_data);
1099 group->mont_data = NULL;