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;
235 OPENSSL_free(dest->seed);
236 dest->seed = OPENSSL_malloc(src->seed_len);
237 if (dest->seed == NULL)
239 if (!memcpy(dest->seed, src->seed, src->seed_len))
241 dest->seed_len = src->seed_len;
243 OPENSSL_free(dest->seed);
248 return dest->meth->group_copy(dest, src);
251 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
259 if ((t = EC_GROUP_new(a->meth)) == NULL)
261 if (!EC_GROUP_copy(t, a))
274 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
279 int EC_METHOD_get_field_type(const EC_METHOD *meth)
281 return meth->field_type;
284 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
285 const BIGNUM *order, const BIGNUM *cofactor)
287 if (generator == NULL) {
288 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
292 if (group->generator == NULL) {
293 group->generator = EC_POINT_new(group);
294 if (group->generator == NULL)
297 if (!EC_POINT_copy(group->generator, generator))
301 if (!BN_copy(group->order, order))
304 BN_zero(group->order);
306 if (cofactor != NULL) {
307 if (!BN_copy(group->cofactor, cofactor))
310 BN_zero(group->cofactor);
313 * We ignore the return value because some groups have an order with
314 * factors of two, which makes the Montgomery setup fail.
315 * |group->mont_data| will be NULL in this case.
317 ec_precompute_mont_data(group);
322 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
324 return group->generator;
327 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
329 return group->mont_data;
332 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
334 if (!BN_copy(order, group->order))
337 return !BN_is_zero(order);
340 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
343 if (!BN_copy(cofactor, group->cofactor))
346 return !BN_is_zero(group->cofactor);
349 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
351 group->curve_name = nid;
354 int EC_GROUP_get_curve_name(const EC_GROUP *group)
356 return group->curve_name;
359 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
361 group->asn1_flag = flag;
364 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
366 return group->asn1_flag;
369 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
370 point_conversion_form_t form)
372 group->asn1_form = form;
375 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
378 return group->asn1_form;
381 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
383 OPENSSL_free(group->seed);
390 if ((group->seed = OPENSSL_malloc(len)) == NULL)
392 memcpy(group->seed, p, len);
393 group->seed_len = len;
398 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
403 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
405 return group->seed_len;
408 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
409 const BIGNUM *b, BN_CTX *ctx)
411 if (group->meth->group_set_curve == 0) {
412 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
415 return group->meth->group_set_curve(group, p, a, b, ctx);
418 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
419 BIGNUM *b, BN_CTX *ctx)
421 if (group->meth->group_get_curve == 0) {
422 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
425 return group->meth->group_get_curve(group, p, a, b, ctx);
428 #ifndef OPENSSL_NO_EC2M
429 int EC_GROUP_set_curve_GF2m(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_GF2M,
434 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
437 return group->meth->group_set_curve(group, p, a, b, ctx);
440 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
441 BIGNUM *b, BN_CTX *ctx)
443 if (group->meth->group_get_curve == 0) {
444 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
445 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
448 return group->meth->group_get_curve(group, p, a, b, ctx);
452 int EC_GROUP_get_degree(const EC_GROUP *group)
454 if (group->meth->group_get_degree == 0) {
455 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
458 return group->meth->group_get_degree(group);
461 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
463 if (group->meth->group_check_discriminant == 0) {
464 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
465 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
468 return group->meth->group_check_discriminant(group, ctx);
471 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
474 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
475 BN_CTX *ctx_new = NULL;
477 /* compare the field types */
478 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
479 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
481 /* compare the curve name (if present in both) */
482 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
483 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
487 ctx_new = ctx = BN_CTX_new();
492 a1 = BN_CTX_get(ctx);
493 a2 = BN_CTX_get(ctx);
494 a3 = BN_CTX_get(ctx);
495 b1 = BN_CTX_get(ctx);
496 b2 = BN_CTX_get(ctx);
497 b3 = BN_CTX_get(ctx);
500 BN_CTX_free(ctx_new);
505 * XXX This approach assumes that the external representation of curves
506 * over the same field type is the same.
508 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
509 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
512 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
515 /* XXX EC_POINT_cmp() assumes that the methods are equal */
516 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
517 EC_GROUP_get0_generator(b), ctx))
521 /* compare the order and cofactor */
522 if (!EC_GROUP_get_order(a, a1, ctx) ||
523 !EC_GROUP_get_order(b, b1, ctx) ||
524 !EC_GROUP_get_cofactor(a, a2, ctx) ||
525 !EC_GROUP_get_cofactor(b, b2, ctx)) {
527 BN_CTX_free(ctx_new);
530 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
535 BN_CTX_free(ctx_new);
540 /* this has 'package' visibility */
541 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
542 void *(*dup_func) (void *),
543 void (*free_func) (void *),
544 void (*clear_free_func) (void *))
551 for (d = *ex_data; d != NULL; d = d->next) {
552 if (d->dup_func == dup_func && d->free_func == free_func
553 && d->clear_free_func == clear_free_func) {
554 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
560 /* no explicit entry needed */
563 d = OPENSSL_malloc(sizeof *d);
568 d->dup_func = dup_func;
569 d->free_func = free_func;
570 d->clear_free_func = clear_free_func;
578 /* this has 'package' visibility */
579 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
580 void *(*dup_func) (void *),
581 void (*free_func) (void *),
582 void (*clear_free_func) (void *))
584 const EC_EXTRA_DATA *d;
586 for (d = ex_data; d != NULL; d = d->next) {
587 if (d->dup_func == dup_func && d->free_func == free_func
588 && d->clear_free_func == clear_free_func)
595 /* this has 'package' visibility */
596 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
597 void *(*dup_func) (void *),
598 void (*free_func) (void *),
599 void (*clear_free_func) (void *))
606 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
607 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
608 && (*p)->clear_free_func == clear_free_func) {
609 EC_EXTRA_DATA *next = (*p)->next;
611 (*p)->free_func((*p)->data);
620 /* this has 'package' visibility */
621 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
622 void *(*dup_func) (void *),
623 void (*free_func) (void *),
624 void (*clear_free_func) (void *))
631 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
632 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
633 && (*p)->clear_free_func == clear_free_func) {
634 EC_EXTRA_DATA *next = (*p)->next;
636 (*p)->clear_free_func((*p)->data);
645 /* this has 'package' visibility */
646 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
655 EC_EXTRA_DATA *next = d->next;
657 d->free_func(d->data);
665 /* this has 'package' visibility */
666 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
675 EC_EXTRA_DATA *next = d->next;
677 d->clear_free_func(d->data);
685 /* functions for EC_POINT objects */
687 EC_POINT *EC_POINT_new(const EC_GROUP *group)
692 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
695 if (group->meth->point_init == 0) {
696 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
700 ret = OPENSSL_malloc(sizeof *ret);
702 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
706 ret->meth = group->meth;
708 if (!ret->meth->point_init(ret)) {
716 void EC_POINT_free(EC_POINT *point)
721 if (point->meth->point_finish != 0)
722 point->meth->point_finish(point);
726 void EC_POINT_clear_free(EC_POINT *point)
731 if (point->meth->point_clear_finish != 0)
732 point->meth->point_clear_finish(point);
733 else if (point->meth->point_finish != 0)
734 point->meth->point_finish(point);
735 OPENSSL_clear_free(point, sizeof *point);
738 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
740 if (dest->meth->point_copy == 0) {
741 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
744 if (dest->meth != src->meth) {
745 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
750 return dest->meth->point_copy(dest, src);
753 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
761 t = EC_POINT_new(group);
764 r = EC_POINT_copy(t, a);
772 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
777 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
779 if (group->meth->point_set_to_infinity == 0) {
780 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
781 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
784 if (group->meth != point->meth) {
785 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
788 return group->meth->point_set_to_infinity(group, point);
791 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
792 EC_POINT *point, const BIGNUM *x,
793 const BIGNUM *y, const BIGNUM *z,
796 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
797 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
798 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
801 if (group->meth != point->meth) {
802 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
803 EC_R_INCOMPATIBLE_OBJECTS);
806 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
810 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
811 const EC_POINT *point, BIGNUM *x,
812 BIGNUM *y, BIGNUM *z,
815 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
816 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
817 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
820 if (group->meth != point->meth) {
821 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
822 EC_R_INCOMPATIBLE_OBJECTS);
825 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
829 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
830 EC_POINT *point, const BIGNUM *x,
831 const BIGNUM *y, BN_CTX *ctx)
833 if (group->meth->point_set_affine_coordinates == 0) {
834 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
835 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
838 if (group->meth != point->meth) {
839 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
840 EC_R_INCOMPATIBLE_OBJECTS);
843 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
846 #ifndef OPENSSL_NO_EC2M
847 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
848 EC_POINT *point, const BIGNUM *x,
849 const BIGNUM *y, BN_CTX *ctx)
851 if (group->meth->point_set_affine_coordinates == 0) {
852 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
853 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
856 if (group->meth != point->meth) {
857 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
858 EC_R_INCOMPATIBLE_OBJECTS);
861 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
865 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
866 const EC_POINT *point, BIGNUM *x,
867 BIGNUM *y, BN_CTX *ctx)
869 if (group->meth->point_get_affine_coordinates == 0) {
870 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
871 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
874 if (group->meth != point->meth) {
875 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
876 EC_R_INCOMPATIBLE_OBJECTS);
879 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
882 #ifndef OPENSSL_NO_EC2M
883 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
884 const EC_POINT *point, BIGNUM *x,
885 BIGNUM *y, BN_CTX *ctx)
887 if (group->meth->point_get_affine_coordinates == 0) {
888 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
889 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
892 if (group->meth != point->meth) {
893 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
894 EC_R_INCOMPATIBLE_OBJECTS);
897 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
901 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
902 const EC_POINT *b, BN_CTX *ctx)
904 if (group->meth->add == 0) {
905 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
908 if ((group->meth != r->meth) || (r->meth != a->meth)
909 || (a->meth != b->meth)) {
910 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
913 return group->meth->add(group, r, a, b, ctx);
916 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
919 if (group->meth->dbl == 0) {
920 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
923 if ((group->meth != r->meth) || (r->meth != a->meth)) {
924 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
927 return group->meth->dbl(group, r, a, ctx);
930 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
932 if (group->meth->invert == 0) {
933 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
936 if (group->meth != a->meth) {
937 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
940 return group->meth->invert(group, a, ctx);
943 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
945 if (group->meth->is_at_infinity == 0) {
946 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
947 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
950 if (group->meth != point->meth) {
951 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
954 return group->meth->is_at_infinity(group, point);
957 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
960 if (group->meth->is_on_curve == 0) {
961 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
964 if (group->meth != point->meth) {
965 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
968 return group->meth->is_on_curve(group, point, ctx);
971 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
974 if (group->meth->point_cmp == 0) {
975 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
978 if ((group->meth != a->meth) || (a->meth != b->meth)) {
979 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
982 return group->meth->point_cmp(group, a, b, ctx);
985 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
987 if (group->meth->make_affine == 0) {
988 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
991 if (group->meth != point->meth) {
992 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
995 return group->meth->make_affine(group, point, ctx);
998 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
999 EC_POINT *points[], BN_CTX *ctx)
1003 if (group->meth->points_make_affine == 0) {
1004 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1007 for (i = 0; i < num; i++) {
1008 if (group->meth != points[i]->meth) {
1009 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1013 return group->meth->points_make_affine(group, num, points, ctx);
1017 * Functions for point multiplication. If group->meth->mul is 0, we use the
1018 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1022 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1023 size_t num, const EC_POINT *points[],
1024 const BIGNUM *scalars[], BN_CTX *ctx)
1026 if (group->meth->mul == 0)
1028 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1030 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1033 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1034 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1036 /* just a convenient interface to EC_POINTs_mul() */
1038 const EC_POINT *points[1];
1039 const BIGNUM *scalars[1];
1042 scalars[0] = p_scalar;
1044 return EC_POINTs_mul(group, r, g_scalar,
1046 && p_scalar != NULL), points, scalars, ctx);
1049 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1051 if (group->meth->mul == 0)
1053 return ec_wNAF_precompute_mult(group, ctx);
1055 if (group->meth->precompute_mult != 0)
1056 return group->meth->precompute_mult(group, ctx);
1058 return 1; /* nothing to do, so report success */
1061 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1063 if (group->meth->mul == 0)
1065 return ec_wNAF_have_precompute_mult(group);
1067 if (group->meth->have_precompute_mult != 0)
1068 return group->meth->have_precompute_mult(group);
1070 return 0; /* cannot tell whether precomputation has
1075 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1076 * returns one on success. On error it returns zero.
1078 int ec_precompute_mont_data(EC_GROUP *group)
1080 BN_CTX *ctx = BN_CTX_new();
1083 BN_MONT_CTX_free(group->mont_data);
1084 group->mont_data = NULL;
1089 group->mont_data = BN_MONT_CTX_new();
1090 if (!group->mont_data)
1093 if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
1094 BN_MONT_CTX_free(group->mont_data);
1095 group->mont_data = NULL;