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 /* functions for EC_GROUP objects */
73 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
78 ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
81 if (meth->group_init == 0) {
82 ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
86 ret = OPENSSL_malloc(sizeof(*ret));
88 ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
94 ret->extra_data = NULL;
95 ret->mont_data = NULL;
97 ret->generator = NULL;
98 ret->order = BN_new();
102 ret->cofactor = BN_new();
107 ret->asn1_flag = OPENSSL_EC_NAMED_CURVE;
108 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
113 if (!meth->group_init(ret))
119 BN_free(ret->cofactor);
124 void EC_GROUP_free(EC_GROUP *group)
129 if (group->meth->group_finish != 0)
130 group->meth->group_finish(group);
132 EC_EX_DATA_free_all_data(&group->extra_data);
133 BN_MONT_CTX_free(group->mont_data);
134 EC_POINT_free(group->generator);
135 BN_free(group->order);
136 BN_free(group->cofactor);
137 OPENSSL_free(group->seed);
141 void EC_GROUP_clear_free(EC_GROUP *group)
146 if (group->meth->group_clear_finish != 0)
147 group->meth->group_clear_finish(group);
148 else if (group->meth->group_finish != 0)
149 group->meth->group_finish(group);
151 EC_EX_DATA_clear_free_all_data(&group->extra_data);
153 BN_MONT_CTX_free(group->mont_data);
155 EC_POINT_clear_free(group->generator);
156 BN_clear_free(group->order);
157 BN_clear_free(group->cofactor);
158 OPENSSL_clear_free(group->seed, group->seed_len);
159 OPENSSL_clear_free(group, sizeof(*group));
162 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
166 if (dest->meth->group_copy == 0) {
167 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
170 if (dest->meth != src->meth) {
171 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
177 EC_EX_DATA_free_all_data(&dest->extra_data);
179 for (d = src->extra_data; d != NULL; d = d->next) {
180 void *t = d->dup_func(d->data);
184 if (!EC_EX_DATA_set_data
185 (&dest->extra_data, t, d->dup_func, d->free_func,
190 if (src->mont_data != NULL) {
191 if (dest->mont_data == NULL) {
192 dest->mont_data = BN_MONT_CTX_new();
193 if (dest->mont_data == NULL)
196 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
199 /* src->generator == NULL */
200 BN_MONT_CTX_free(dest->mont_data);
201 dest->mont_data = NULL;
204 if (src->generator != NULL) {
205 if (dest->generator == NULL) {
206 dest->generator = EC_POINT_new(dest);
207 if (dest->generator == NULL)
210 if (!EC_POINT_copy(dest->generator, src->generator))
213 /* src->generator == NULL */
214 EC_POINT_clear_free(dest->generator);
215 dest->generator = NULL;
218 if (!BN_copy(dest->order, src->order))
220 if (!BN_copy(dest->cofactor, src->cofactor))
223 dest->curve_name = src->curve_name;
224 dest->asn1_flag = src->asn1_flag;
225 dest->asn1_form = src->asn1_form;
228 OPENSSL_free(dest->seed);
229 dest->seed = OPENSSL_malloc(src->seed_len);
230 if (dest->seed == NULL)
232 if (!memcpy(dest->seed, src->seed, src->seed_len))
234 dest->seed_len = src->seed_len;
236 OPENSSL_free(dest->seed);
241 return dest->meth->group_copy(dest, src);
244 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
252 if ((t = EC_GROUP_new(a->meth)) == NULL)
254 if (!EC_GROUP_copy(t, a))
267 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
272 int EC_METHOD_get_field_type(const EC_METHOD *meth)
274 return meth->field_type;
277 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
278 const BIGNUM *order, const BIGNUM *cofactor)
280 if (generator == NULL) {
281 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
285 if (group->generator == NULL) {
286 group->generator = EC_POINT_new(group);
287 if (group->generator == NULL)
290 if (!EC_POINT_copy(group->generator, generator))
294 if (!BN_copy(group->order, order))
297 BN_zero(group->order);
299 if (cofactor != NULL) {
300 if (!BN_copy(group->cofactor, cofactor))
303 BN_zero(group->cofactor);
306 * We ignore the return value because some groups have an order with
307 * factors of two, which makes the Montgomery setup fail.
308 * |group->mont_data| will be NULL in this case.
310 ec_precompute_mont_data(group);
315 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
317 return group->generator;
320 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
322 return group->mont_data;
325 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
327 if (!BN_copy(order, group->order))
330 return !BN_is_zero(order);
333 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
336 if (!BN_copy(cofactor, group->cofactor))
339 return !BN_is_zero(group->cofactor);
342 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
344 group->curve_name = nid;
347 int EC_GROUP_get_curve_name(const EC_GROUP *group)
349 return group->curve_name;
352 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
354 group->asn1_flag = flag;
357 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
359 return group->asn1_flag;
362 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
363 point_conversion_form_t form)
365 group->asn1_form = form;
368 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
371 return group->asn1_form;
374 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
376 OPENSSL_free(group->seed);
383 if ((group->seed = OPENSSL_malloc(len)) == NULL)
385 memcpy(group->seed, p, len);
386 group->seed_len = len;
391 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
396 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
398 return group->seed_len;
401 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
402 const BIGNUM *b, BN_CTX *ctx)
404 if (group->meth->group_set_curve == 0) {
405 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
408 return group->meth->group_set_curve(group, p, a, b, ctx);
411 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
412 BIGNUM *b, BN_CTX *ctx)
414 if (group->meth->group_get_curve == 0) {
415 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
418 return group->meth->group_get_curve(group, p, a, b, ctx);
421 #ifndef OPENSSL_NO_EC2M
422 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
423 const BIGNUM *b, BN_CTX *ctx)
425 if (group->meth->group_set_curve == 0) {
426 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
427 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
430 return group->meth->group_set_curve(group, p, a, b, ctx);
433 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
434 BIGNUM *b, BN_CTX *ctx)
436 if (group->meth->group_get_curve == 0) {
437 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
438 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
441 return group->meth->group_get_curve(group, p, a, b, ctx);
445 int EC_GROUP_get_degree(const EC_GROUP *group)
447 if (group->meth->group_get_degree == 0) {
448 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
451 return group->meth->group_get_degree(group);
454 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
456 if (group->meth->group_check_discriminant == 0) {
457 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
458 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
461 return group->meth->group_check_discriminant(group, ctx);
464 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
467 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
468 BN_CTX *ctx_new = NULL;
470 /* compare the field types */
471 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
472 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
474 /* compare the curve name (if present in both) */
475 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
476 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
480 ctx_new = ctx = BN_CTX_new();
485 a1 = BN_CTX_get(ctx);
486 a2 = BN_CTX_get(ctx);
487 a3 = BN_CTX_get(ctx);
488 b1 = BN_CTX_get(ctx);
489 b2 = BN_CTX_get(ctx);
490 b3 = BN_CTX_get(ctx);
493 BN_CTX_free(ctx_new);
498 * XXX This approach assumes that the external representation of curves
499 * over the same field type is the same.
501 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
502 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
505 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
508 /* XXX EC_POINT_cmp() assumes that the methods are equal */
509 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
510 EC_GROUP_get0_generator(b), ctx))
514 /* compare the order and cofactor */
515 if (!EC_GROUP_get_order(a, a1, ctx) ||
516 !EC_GROUP_get_order(b, b1, ctx) ||
517 !EC_GROUP_get_cofactor(a, a2, ctx) ||
518 !EC_GROUP_get_cofactor(b, b2, ctx)) {
520 BN_CTX_free(ctx_new);
523 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
528 BN_CTX_free(ctx_new);
533 /* this has 'package' visibility */
534 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
535 void *(*dup_func) (void *),
536 void (*free_func) (void *),
537 void (*clear_free_func) (void *))
544 for (d = *ex_data; d != NULL; d = d->next) {
545 if (d->dup_func == dup_func && d->free_func == free_func
546 && d->clear_free_func == clear_free_func) {
547 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
553 /* no explicit entry needed */
556 d = OPENSSL_malloc(sizeof(*d));
561 d->dup_func = dup_func;
562 d->free_func = free_func;
563 d->clear_free_func = clear_free_func;
571 /* this has 'package' visibility */
572 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
573 void *(*dup_func) (void *),
574 void (*free_func) (void *),
575 void (*clear_free_func) (void *))
577 const EC_EXTRA_DATA *d;
579 for (d = ex_data; d != NULL; d = d->next) {
580 if (d->dup_func == dup_func && d->free_func == free_func
581 && d->clear_free_func == clear_free_func)
588 /* this has 'package' visibility */
589 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
590 void *(*dup_func) (void *),
591 void (*free_func) (void *),
592 void (*clear_free_func) (void *))
599 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
600 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
601 && (*p)->clear_free_func == clear_free_func) {
602 EC_EXTRA_DATA *next = (*p)->next;
604 (*p)->free_func((*p)->data);
613 /* this has 'package' visibility */
614 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
615 void *(*dup_func) (void *),
616 void (*free_func) (void *),
617 void (*clear_free_func) (void *))
624 for (p = ex_data; *p != NULL; p = &((*p)->next)) {
625 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func
626 && (*p)->clear_free_func == clear_free_func) {
627 EC_EXTRA_DATA *next = (*p)->next;
629 (*p)->clear_free_func((*p)->data);
638 /* this has 'package' visibility */
639 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
648 EC_EXTRA_DATA *next = d->next;
650 d->free_func(d->data);
658 /* this has 'package' visibility */
659 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
668 EC_EXTRA_DATA *next = d->next;
670 d->clear_free_func(d->data);
678 /* functions for EC_POINT objects */
680 EC_POINT *EC_POINT_new(const EC_GROUP *group)
685 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
688 if (group->meth->point_init == 0) {
689 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
693 ret = OPENSSL_malloc(sizeof(*ret));
695 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
699 ret->meth = group->meth;
701 if (!ret->meth->point_init(ret)) {
709 void EC_POINT_free(EC_POINT *point)
714 if (point->meth->point_finish != 0)
715 point->meth->point_finish(point);
719 void EC_POINT_clear_free(EC_POINT *point)
724 if (point->meth->point_clear_finish != 0)
725 point->meth->point_clear_finish(point);
726 else if (point->meth->point_finish != 0)
727 point->meth->point_finish(point);
728 OPENSSL_clear_free(point, sizeof(*point));
731 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
733 if (dest->meth->point_copy == 0) {
734 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
737 if (dest->meth != src->meth) {
738 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
743 return dest->meth->point_copy(dest, src);
746 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
754 t = EC_POINT_new(group);
757 r = EC_POINT_copy(t, a);
765 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
770 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
772 if (group->meth->point_set_to_infinity == 0) {
773 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
774 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
777 if (group->meth != point->meth) {
778 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
781 return group->meth->point_set_to_infinity(group, point);
784 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
785 EC_POINT *point, const BIGNUM *x,
786 const BIGNUM *y, const BIGNUM *z,
789 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
790 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
791 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
794 if (group->meth != point->meth) {
795 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
796 EC_R_INCOMPATIBLE_OBJECTS);
799 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
803 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
804 const EC_POINT *point, BIGNUM *x,
805 BIGNUM *y, BIGNUM *z,
808 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
809 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
810 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
813 if (group->meth != point->meth) {
814 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
815 EC_R_INCOMPATIBLE_OBJECTS);
818 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
822 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
823 EC_POINT *point, const BIGNUM *x,
824 const BIGNUM *y, BN_CTX *ctx)
826 if (group->meth->point_set_affine_coordinates == 0) {
827 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
828 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
831 if (group->meth != point->meth) {
832 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
833 EC_R_INCOMPATIBLE_OBJECTS);
836 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
839 #ifndef OPENSSL_NO_EC2M
840 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
841 EC_POINT *point, const BIGNUM *x,
842 const BIGNUM *y, BN_CTX *ctx)
844 if (group->meth->point_set_affine_coordinates == 0) {
845 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
846 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
849 if (group->meth != point->meth) {
850 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
851 EC_R_INCOMPATIBLE_OBJECTS);
854 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
858 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
859 const EC_POINT *point, BIGNUM *x,
860 BIGNUM *y, BN_CTX *ctx)
862 if (group->meth->point_get_affine_coordinates == 0) {
863 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
864 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
867 if (group->meth != point->meth) {
868 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
869 EC_R_INCOMPATIBLE_OBJECTS);
872 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
875 #ifndef OPENSSL_NO_EC2M
876 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
877 const EC_POINT *point, BIGNUM *x,
878 BIGNUM *y, BN_CTX *ctx)
880 if (group->meth->point_get_affine_coordinates == 0) {
881 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
882 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
885 if (group->meth != point->meth) {
886 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
887 EC_R_INCOMPATIBLE_OBJECTS);
890 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
894 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
895 const EC_POINT *b, BN_CTX *ctx)
897 if (group->meth->add == 0) {
898 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
901 if ((group->meth != r->meth) || (r->meth != a->meth)
902 || (a->meth != b->meth)) {
903 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
906 return group->meth->add(group, r, a, b, ctx);
909 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
912 if (group->meth->dbl == 0) {
913 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
916 if ((group->meth != r->meth) || (r->meth != a->meth)) {
917 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
920 return group->meth->dbl(group, r, a, ctx);
923 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
925 if (group->meth->invert == 0) {
926 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
929 if (group->meth != a->meth) {
930 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
933 return group->meth->invert(group, a, ctx);
936 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
938 if (group->meth->is_at_infinity == 0) {
939 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
940 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
943 if (group->meth != point->meth) {
944 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
947 return group->meth->is_at_infinity(group, point);
951 * Check whether an EC_POINT is on the curve or not. Note that the return
952 * value for this function should NOT be treated as a boolean. Return values:
953 * 1: The point is on the curve
954 * 0: The point is not on the curve
955 * -1: An error occurred
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;