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_zalloc(sizeof(*ret
));
88 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_MALLOC_FAILURE
);
93 ret
->order
= BN_new();
94 if (ret
->order
== NULL
)
96 ret
->cofactor
= BN_new();
97 if (ret
->cofactor
== NULL
)
99 ret
->asn1_flag
= OPENSSL_EC_NAMED_CURVE
;
100 ret
->asn1_form
= POINT_CONVERSION_UNCOMPRESSED
;
101 if (!meth
->group_init(ret
))
107 BN_free(ret
->cofactor
);
112 static void ec_group_free_precomp(EC_GROUP
*group
)
114 switch (group
->pre_comp_type
) {
118 EC_nistz256_pre_comp_free(group
->pre_comp
.nistz256
);
120 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
122 EC_nistp224_pre_comp_free(group
->pre_comp
.nistp224
);
125 EC_nistp256_pre_comp_free(group
->pre_comp
.nistp256
);
128 EC_nistp521_pre_comp_free(group
->pre_comp
.nistp521
);
132 EC_ec_pre_comp_free(group
->pre_comp
.ec
);
135 group
->pre_comp
.ec
= NULL
;
138 void EC_GROUP_free(EC_GROUP
*group
)
143 if (group
->meth
->group_finish
!= 0)
144 group
->meth
->group_finish(group
);
146 ec_group_free_precomp(group
);
147 BN_MONT_CTX_free(group
->mont_data
);
148 EC_POINT_free(group
->generator
);
149 BN_free(group
->order
);
150 BN_free(group
->cofactor
);
151 OPENSSL_free(group
->seed
);
155 void EC_GROUP_clear_free(EC_GROUP
*group
)
160 if (group
->meth
->group_clear_finish
!= 0)
161 group
->meth
->group_clear_finish(group
);
162 else if (group
->meth
->group_finish
!= 0)
163 group
->meth
->group_finish(group
);
165 ec_group_free_precomp(group
);
166 BN_MONT_CTX_free(group
->mont_data
);
167 EC_POINT_clear_free(group
->generator
);
168 BN_clear_free(group
->order
);
169 BN_clear_free(group
->cofactor
);
170 OPENSSL_clear_free(group
->seed
, group
->seed_len
);
171 OPENSSL_clear_free(group
, sizeof(*group
));
174 int EC_GROUP_copy(EC_GROUP
*dest
, const EC_GROUP
*src
)
176 if (dest
->meth
->group_copy
== 0) {
177 ECerr(EC_F_EC_GROUP_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
180 if (dest
->meth
!= src
->meth
) {
181 ECerr(EC_F_EC_GROUP_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
187 /* Copy precomputed */
188 dest
->pre_comp_type
= src
->pre_comp_type
;
189 switch (src
->pre_comp_type
) {
191 dest
->pre_comp
.ec
= NULL
;
194 dest
->pre_comp
.nistz256
= EC_nistz256_pre_comp_dup(src
->pre_comp
.nistz256
);
196 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
198 dest
->pre_comp
.nistp224
= EC_nistp224_pre_comp_dup(src
->pre_comp
.nistp224
);
201 dest
->pre_comp
.nistp256
= EC_nistp256_pre_comp_dup(src
->pre_comp
.nistp256
);
204 dest
->pre_comp
.nistp521
= EC_nistp521_pre_comp_dup(src
->pre_comp
.nistp521
);
208 dest
->pre_comp
.ec
= EC_ec_pre_comp_dup(src
->pre_comp
.ec
);
212 if (src
->mont_data
!= NULL
) {
213 if (dest
->mont_data
== NULL
) {
214 dest
->mont_data
= BN_MONT_CTX_new();
215 if (dest
->mont_data
== NULL
)
218 if (!BN_MONT_CTX_copy(dest
->mont_data
, src
->mont_data
))
221 /* src->generator == NULL */
222 BN_MONT_CTX_free(dest
->mont_data
);
223 dest
->mont_data
= NULL
;
226 if (src
->generator
!= NULL
) {
227 if (dest
->generator
== NULL
) {
228 dest
->generator
= EC_POINT_new(dest
);
229 if (dest
->generator
== NULL
)
232 if (!EC_POINT_copy(dest
->generator
, src
->generator
))
235 /* src->generator == NULL */
236 EC_POINT_clear_free(dest
->generator
);
237 dest
->generator
= NULL
;
240 if (!BN_copy(dest
->order
, src
->order
))
242 if (!BN_copy(dest
->cofactor
, src
->cofactor
))
245 dest
->curve_name
= src
->curve_name
;
246 dest
->asn1_flag
= src
->asn1_flag
;
247 dest
->asn1_form
= src
->asn1_form
;
250 OPENSSL_free(dest
->seed
);
251 dest
->seed
= OPENSSL_malloc(src
->seed_len
);
252 if (dest
->seed
== NULL
)
254 if (!memcpy(dest
->seed
, src
->seed
, src
->seed_len
))
256 dest
->seed_len
= src
->seed_len
;
258 OPENSSL_free(dest
->seed
);
263 return dest
->meth
->group_copy(dest
, src
);
266 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*a
)
274 if ((t
= EC_GROUP_new(a
->meth
)) == NULL
)
276 if (!EC_GROUP_copy(t
, a
))
289 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
)
294 int EC_METHOD_get_field_type(const EC_METHOD
*meth
)
296 return meth
->field_type
;
299 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
,
300 const BIGNUM
*order
, const BIGNUM
*cofactor
)
302 if (generator
== NULL
) {
303 ECerr(EC_F_EC_GROUP_SET_GENERATOR
, ERR_R_PASSED_NULL_PARAMETER
);
307 if (group
->generator
== NULL
) {
308 group
->generator
= EC_POINT_new(group
);
309 if (group
->generator
== NULL
)
312 if (!EC_POINT_copy(group
->generator
, generator
))
316 if (!BN_copy(group
->order
, order
))
319 BN_zero(group
->order
);
321 if (cofactor
!= NULL
) {
322 if (!BN_copy(group
->cofactor
, cofactor
))
325 BN_zero(group
->cofactor
);
328 * We ignore the return value because some groups have an order with
329 * factors of two, which makes the Montgomery setup fail.
330 * |group->mont_data| will be NULL in this case.
332 ec_precompute_mont_data(group
);
337 const EC_POINT
*EC_GROUP_get0_generator(const EC_GROUP
*group
)
339 return group
->generator
;
342 BN_MONT_CTX
*EC_GROUP_get_mont_data(const EC_GROUP
*group
)
344 return group
->mont_data
;
347 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
)
349 if (!BN_copy(order
, group
->order
))
352 return !BN_is_zero(order
);
355 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
,
358 if (!BN_copy(cofactor
, group
->cofactor
))
361 return !BN_is_zero(group
->cofactor
);
364 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
)
366 group
->curve_name
= nid
;
369 int EC_GROUP_get_curve_name(const EC_GROUP
*group
)
371 return group
->curve_name
;
374 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
)
376 group
->asn1_flag
= flag
;
379 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
)
381 return group
->asn1_flag
;
384 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
385 point_conversion_form_t form
)
387 group
->asn1_form
= form
;
390 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
393 return group
->asn1_form
;
396 size_t EC_GROUP_set_seed(EC_GROUP
*group
, const unsigned char *p
, size_t len
)
398 OPENSSL_free(group
->seed
);
405 if ((group
->seed
= OPENSSL_malloc(len
)) == NULL
)
407 memcpy(group
->seed
, p
, len
);
408 group
->seed_len
= len
;
413 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*group
)
418 size_t EC_GROUP_get_seed_len(const EC_GROUP
*group
)
420 return group
->seed_len
;
423 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
424 const BIGNUM
*b
, BN_CTX
*ctx
)
426 if (group
->meth
->group_set_curve
== 0) {
427 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP
, 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_GFp(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_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
440 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
443 #ifndef OPENSSL_NO_EC2M
444 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
445 const BIGNUM
*b
, BN_CTX
*ctx
)
447 if (group
->meth
->group_set_curve
== 0) {
448 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M
,
449 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
452 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
455 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
456 BIGNUM
*b
, BN_CTX
*ctx
)
458 if (group
->meth
->group_get_curve
== 0) {
459 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M
,
460 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
463 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
467 int EC_GROUP_get_degree(const EC_GROUP
*group
)
469 if (group
->meth
->group_get_degree
== 0) {
470 ECerr(EC_F_EC_GROUP_GET_DEGREE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
473 return group
->meth
->group_get_degree(group
);
476 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
)
478 if (group
->meth
->group_check_discriminant
== 0) {
479 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT
,
480 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
483 return group
->meth
->group_check_discriminant(group
, ctx
);
486 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
)
489 BIGNUM
*a1
, *a2
, *a3
, *b1
, *b2
, *b3
;
490 BN_CTX
*ctx_new
= NULL
;
492 /* compare the field types */
493 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a
)) !=
494 EC_METHOD_get_field_type(EC_GROUP_method_of(b
)))
496 /* compare the curve name (if present in both) */
497 if (EC_GROUP_get_curve_name(a
) && EC_GROUP_get_curve_name(b
) &&
498 EC_GROUP_get_curve_name(a
) != EC_GROUP_get_curve_name(b
))
502 ctx_new
= ctx
= BN_CTX_new();
507 a1
= BN_CTX_get(ctx
);
508 a2
= BN_CTX_get(ctx
);
509 a3
= BN_CTX_get(ctx
);
510 b1
= BN_CTX_get(ctx
);
511 b2
= BN_CTX_get(ctx
);
512 b3
= BN_CTX_get(ctx
);
515 BN_CTX_free(ctx_new
);
520 * XXX This approach assumes that the external representation of curves
521 * over the same field type is the same.
523 if (!a
->meth
->group_get_curve(a
, a1
, a2
, a3
, ctx
) ||
524 !b
->meth
->group_get_curve(b
, b1
, b2
, b3
, ctx
))
527 if (r
|| BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
) || BN_cmp(a3
, b3
))
530 /* XXX EC_POINT_cmp() assumes that the methods are equal */
531 if (r
|| EC_POINT_cmp(a
, EC_GROUP_get0_generator(a
),
532 EC_GROUP_get0_generator(b
), ctx
))
536 /* compare the order and cofactor */
537 if (!EC_GROUP_get_order(a
, a1
, ctx
) ||
538 !EC_GROUP_get_order(b
, b1
, ctx
) ||
539 !EC_GROUP_get_cofactor(a
, a2
, ctx
) ||
540 !EC_GROUP_get_cofactor(b
, b2
, ctx
)) {
542 BN_CTX_free(ctx_new
);
545 if (BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
))
550 BN_CTX_free(ctx_new
);
555 /* functions for EC_POINT objects */
557 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
)
562 ECerr(EC_F_EC_POINT_NEW
, ERR_R_PASSED_NULL_PARAMETER
);
565 if (group
->meth
->point_init
== 0) {
566 ECerr(EC_F_EC_POINT_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
570 ret
= OPENSSL_malloc(sizeof(*ret
));
572 ECerr(EC_F_EC_POINT_NEW
, ERR_R_MALLOC_FAILURE
);
576 ret
->meth
= group
->meth
;
578 if (!ret
->meth
->point_init(ret
)) {
586 void EC_POINT_free(EC_POINT
*point
)
591 if (point
->meth
->point_finish
!= 0)
592 point
->meth
->point_finish(point
);
596 void EC_POINT_clear_free(EC_POINT
*point
)
601 if (point
->meth
->point_clear_finish
!= 0)
602 point
->meth
->point_clear_finish(point
);
603 else if (point
->meth
->point_finish
!= 0)
604 point
->meth
->point_finish(point
);
605 OPENSSL_clear_free(point
, sizeof(*point
));
608 int EC_POINT_copy(EC_POINT
*dest
, const EC_POINT
*src
)
610 if (dest
->meth
->point_copy
== 0) {
611 ECerr(EC_F_EC_POINT_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
614 if (dest
->meth
!= src
->meth
) {
615 ECerr(EC_F_EC_POINT_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
620 return dest
->meth
->point_copy(dest
, src
);
623 EC_POINT
*EC_POINT_dup(const EC_POINT
*a
, const EC_GROUP
*group
)
631 t
= EC_POINT_new(group
);
634 r
= EC_POINT_copy(t
, a
);
642 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
)
647 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
)
649 if (group
->meth
->point_set_to_infinity
== 0) {
650 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
,
651 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
654 if (group
->meth
!= point
->meth
) {
655 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
658 return group
->meth
->point_set_to_infinity(group
, point
);
661 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
662 EC_POINT
*point
, const BIGNUM
*x
,
663 const BIGNUM
*y
, const BIGNUM
*z
,
666 if (group
->meth
->point_set_Jprojective_coordinates_GFp
== 0) {
667 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
668 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
671 if (group
->meth
!= point
->meth
) {
672 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
673 EC_R_INCOMPATIBLE_OBJECTS
);
676 return group
->meth
->point_set_Jprojective_coordinates_GFp(group
, point
, x
,
680 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
681 const EC_POINT
*point
, BIGNUM
*x
,
682 BIGNUM
*y
, BIGNUM
*z
,
685 if (group
->meth
->point_get_Jprojective_coordinates_GFp
== 0) {
686 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
687 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
690 if (group
->meth
!= point
->meth
) {
691 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
692 EC_R_INCOMPATIBLE_OBJECTS
);
695 return group
->meth
->point_get_Jprojective_coordinates_GFp(group
, point
, x
,
699 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
,
700 EC_POINT
*point
, const BIGNUM
*x
,
701 const BIGNUM
*y
, BN_CTX
*ctx
)
703 if (group
->meth
->point_set_affine_coordinates
== 0) {
704 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
705 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
708 if (group
->meth
!= point
->meth
) {
709 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
710 EC_R_INCOMPATIBLE_OBJECTS
);
713 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
716 #ifndef OPENSSL_NO_EC2M
717 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
,
718 EC_POINT
*point
, const BIGNUM
*x
,
719 const BIGNUM
*y
, BN_CTX
*ctx
)
721 if (group
->meth
->point_set_affine_coordinates
== 0) {
722 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
723 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
726 if (group
->meth
!= point
->meth
) {
727 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
728 EC_R_INCOMPATIBLE_OBJECTS
);
731 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
735 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
,
736 const EC_POINT
*point
, BIGNUM
*x
,
737 BIGNUM
*y
, BN_CTX
*ctx
)
739 if (group
->meth
->point_get_affine_coordinates
== 0) {
740 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
741 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
744 if (group
->meth
!= point
->meth
) {
745 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
746 EC_R_INCOMPATIBLE_OBJECTS
);
749 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
752 #ifndef OPENSSL_NO_EC2M
753 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
,
754 const EC_POINT
*point
, BIGNUM
*x
,
755 BIGNUM
*y
, BN_CTX
*ctx
)
757 if (group
->meth
->point_get_affine_coordinates
== 0) {
758 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
759 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
762 if (group
->meth
!= point
->meth
) {
763 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
764 EC_R_INCOMPATIBLE_OBJECTS
);
767 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
771 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
772 const EC_POINT
*b
, BN_CTX
*ctx
)
774 if (group
->meth
->add
== 0) {
775 ECerr(EC_F_EC_POINT_ADD
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
778 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)
779 || (a
->meth
!= b
->meth
)) {
780 ECerr(EC_F_EC_POINT_ADD
, EC_R_INCOMPATIBLE_OBJECTS
);
783 return group
->meth
->add(group
, r
, a
, b
, ctx
);
786 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
789 if (group
->meth
->dbl
== 0) {
790 ECerr(EC_F_EC_POINT_DBL
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
793 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)) {
794 ECerr(EC_F_EC_POINT_DBL
, EC_R_INCOMPATIBLE_OBJECTS
);
797 return group
->meth
->dbl(group
, r
, a
, ctx
);
800 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
)
802 if (group
->meth
->invert
== 0) {
803 ECerr(EC_F_EC_POINT_INVERT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
806 if (group
->meth
!= a
->meth
) {
807 ECerr(EC_F_EC_POINT_INVERT
, EC_R_INCOMPATIBLE_OBJECTS
);
810 return group
->meth
->invert(group
, a
, ctx
);
813 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*point
)
815 if (group
->meth
->is_at_infinity
== 0) {
816 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
,
817 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
820 if (group
->meth
!= point
->meth
) {
821 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
824 return group
->meth
->is_at_infinity(group
, point
);
828 * Check whether an EC_POINT is on the curve or not. Note that the return
829 * value for this function should NOT be treated as a boolean. Return values:
830 * 1: The point is on the curve
831 * 0: The point is not on the curve
832 * -1: An error occurred
834 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
,
837 if (group
->meth
->is_on_curve
== 0) {
838 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
841 if (group
->meth
!= point
->meth
) {
842 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, EC_R_INCOMPATIBLE_OBJECTS
);
845 return group
->meth
->is_on_curve(group
, point
, ctx
);
848 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
,
851 if (group
->meth
->point_cmp
== 0) {
852 ECerr(EC_F_EC_POINT_CMP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
855 if ((group
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
)) {
856 ECerr(EC_F_EC_POINT_CMP
, EC_R_INCOMPATIBLE_OBJECTS
);
859 return group
->meth
->point_cmp(group
, a
, b
, ctx
);
862 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
)
864 if (group
->meth
->make_affine
== 0) {
865 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
868 if (group
->meth
!= point
->meth
) {
869 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
872 return group
->meth
->make_affine(group
, point
, ctx
);
875 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
,
876 EC_POINT
*points
[], BN_CTX
*ctx
)
880 if (group
->meth
->points_make_affine
== 0) {
881 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
884 for (i
= 0; i
< num
; i
++) {
885 if (group
->meth
!= points
[i
]->meth
) {
886 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
890 return group
->meth
->points_make_affine(group
, num
, points
, ctx
);
894 * Functions for point multiplication. If group->meth->mul is 0, we use the
895 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
899 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*scalar
,
900 size_t num
, const EC_POINT
*points
[],
901 const BIGNUM
*scalars
[], BN_CTX
*ctx
)
903 if (group
->meth
->mul
== 0)
905 return ec_wNAF_mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
907 return group
->meth
->mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
910 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*g_scalar
,
911 const EC_POINT
*point
, const BIGNUM
*p_scalar
, BN_CTX
*ctx
)
913 /* just a convenient interface to EC_POINTs_mul() */
915 const EC_POINT
*points
[1];
916 const BIGNUM
*scalars
[1];
919 scalars
[0] = p_scalar
;
921 return EC_POINTs_mul(group
, r
, g_scalar
,
923 && p_scalar
!= NULL
), points
, scalars
, ctx
);
926 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
)
928 if (group
->meth
->mul
== 0)
930 return ec_wNAF_precompute_mult(group
, ctx
);
932 if (group
->meth
->precompute_mult
!= 0)
933 return group
->meth
->precompute_mult(group
, ctx
);
935 return 1; /* nothing to do, so report success */
938 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
)
940 if (group
->meth
->mul
== 0)
942 return ec_wNAF_have_precompute_mult(group
);
944 if (group
->meth
->have_precompute_mult
!= 0)
945 return group
->meth
->have_precompute_mult(group
);
947 return 0; /* cannot tell whether precomputation has
952 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
953 * returns one on success. On error it returns zero.
955 int ec_precompute_mont_data(EC_GROUP
*group
)
957 BN_CTX
*ctx
= BN_CTX_new();
960 BN_MONT_CTX_free(group
->mont_data
);
961 group
->mont_data
= NULL
;
966 group
->mont_data
= BN_MONT_CTX_new();
967 if (group
->mont_data
== NULL
)
970 if (!BN_MONT_CTX_set(group
->mont_data
, group
->order
, ctx
)) {
971 BN_MONT_CTX_free(group
->mont_data
);
972 group
->mont_data
= NULL
;
984 int EC_KEY_set_ex_data(EC_KEY
*key
, int idx
, void *arg
)
986 return CRYPTO_set_ex_data(&key
->ex_data
, idx
, arg
);
989 void *EC_KEY_get_ex_data(const EC_KEY
*key
, int idx
)
991 return CRYPTO_get_ex_data(&key
->ex_data
, idx
);