2 * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
10 /* ====================================================================
11 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
12 * Binary polynomial ECC support in OpenSSL originally developed by
13 * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
18 #include <openssl/err.h>
19 #include <openssl/opensslv.h>
23 /* functions for EC_GROUP objects */
25 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*meth
)
30 ECerr(EC_F_EC_GROUP_NEW
, EC_R_SLOT_FULL
);
33 if (meth
->group_init
== 0) {
34 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
38 ret
= OPENSSL_zalloc(sizeof(*ret
));
40 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_MALLOC_FAILURE
);
45 if ((ret
->meth
->flags
& EC_FLAGS_CUSTOM_CURVE
) == 0) {
46 ret
->order
= BN_new();
47 if (ret
->order
== NULL
)
49 ret
->cofactor
= BN_new();
50 if (ret
->cofactor
== NULL
)
53 ret
->asn1_flag
= OPENSSL_EC_NAMED_CURVE
;
54 ret
->asn1_form
= POINT_CONVERSION_UNCOMPRESSED
;
55 if (!meth
->group_init(ret
))
61 BN_free(ret
->cofactor
);
66 void EC_pre_comp_free(EC_GROUP
*group
)
68 switch (group
->pre_comp_type
) {
71 #ifdef ECP_NISTZ256_REFERENCE_IMPLEMENTATION
73 EC_nistz256_pre_comp_free(group
->pre_comp
.nistz256
);
76 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
78 EC_nistp224_pre_comp_free(group
->pre_comp
.nistp224
);
81 EC_nistp256_pre_comp_free(group
->pre_comp
.nistp256
);
84 EC_nistp521_pre_comp_free(group
->pre_comp
.nistp521
);
88 EC_ec_pre_comp_free(group
->pre_comp
.ec
);
91 group
->pre_comp
.ec
= NULL
;
94 void EC_GROUP_free(EC_GROUP
*group
)
99 if (group
->meth
->group_finish
!= 0)
100 group
->meth
->group_finish(group
);
102 EC_pre_comp_free(group
);
103 BN_MONT_CTX_free(group
->mont_data
);
104 EC_POINT_free(group
->generator
);
105 BN_free(group
->order
);
106 BN_free(group
->cofactor
);
107 OPENSSL_free(group
->seed
);
111 void EC_GROUP_clear_free(EC_GROUP
*group
)
116 if (group
->meth
->group_clear_finish
!= 0)
117 group
->meth
->group_clear_finish(group
);
118 else if (group
->meth
->group_finish
!= 0)
119 group
->meth
->group_finish(group
);
121 EC_pre_comp_free(group
);
122 BN_MONT_CTX_free(group
->mont_data
);
123 EC_POINT_clear_free(group
->generator
);
124 BN_clear_free(group
->order
);
125 BN_clear_free(group
->cofactor
);
126 OPENSSL_clear_free(group
->seed
, group
->seed_len
);
127 OPENSSL_clear_free(group
, sizeof(*group
));
130 int EC_GROUP_copy(EC_GROUP
*dest
, const EC_GROUP
*src
)
132 if (dest
->meth
->group_copy
== 0) {
133 ECerr(EC_F_EC_GROUP_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
136 if (dest
->meth
!= src
->meth
) {
137 ECerr(EC_F_EC_GROUP_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
143 /* Copy precomputed */
144 dest
->pre_comp_type
= src
->pre_comp_type
;
145 switch (src
->pre_comp_type
) {
147 dest
->pre_comp
.ec
= NULL
;
149 #ifdef ECP_NISTZ256_REFERENCE_IMPLEMENTATION
151 dest
->pre_comp
.nistz256
= EC_nistz256_pre_comp_dup(src
->pre_comp
.nistz256
);
154 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
156 dest
->pre_comp
.nistp224
= EC_nistp224_pre_comp_dup(src
->pre_comp
.nistp224
);
159 dest
->pre_comp
.nistp256
= EC_nistp256_pre_comp_dup(src
->pre_comp
.nistp256
);
162 dest
->pre_comp
.nistp521
= EC_nistp521_pre_comp_dup(src
->pre_comp
.nistp521
);
166 dest
->pre_comp
.ec
= EC_ec_pre_comp_dup(src
->pre_comp
.ec
);
170 if (src
->mont_data
!= NULL
) {
171 if (dest
->mont_data
== NULL
) {
172 dest
->mont_data
= BN_MONT_CTX_new();
173 if (dest
->mont_data
== NULL
)
176 if (!BN_MONT_CTX_copy(dest
->mont_data
, src
->mont_data
))
179 /* src->generator == NULL */
180 BN_MONT_CTX_free(dest
->mont_data
);
181 dest
->mont_data
= NULL
;
184 if (src
->generator
!= NULL
) {
185 if (dest
->generator
== NULL
) {
186 dest
->generator
= EC_POINT_new(dest
);
187 if (dest
->generator
== NULL
)
190 if (!EC_POINT_copy(dest
->generator
, src
->generator
))
193 /* src->generator == NULL */
194 EC_POINT_clear_free(dest
->generator
);
195 dest
->generator
= NULL
;
198 if ((src
->meth
->flags
& EC_FLAGS_CUSTOM_CURVE
) == 0) {
199 if (!BN_copy(dest
->order
, src
->order
))
201 if (!BN_copy(dest
->cofactor
, src
->cofactor
))
205 dest
->curve_name
= src
->curve_name
;
206 dest
->asn1_flag
= src
->asn1_flag
;
207 dest
->asn1_form
= src
->asn1_form
;
210 OPENSSL_free(dest
->seed
);
211 dest
->seed
= OPENSSL_malloc(src
->seed_len
);
212 if (dest
->seed
== NULL
)
214 if (!memcpy(dest
->seed
, src
->seed
, src
->seed_len
))
216 dest
->seed_len
= src
->seed_len
;
218 OPENSSL_free(dest
->seed
);
223 return dest
->meth
->group_copy(dest
, src
);
226 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*a
)
234 if ((t
= EC_GROUP_new(a
->meth
)) == NULL
)
236 if (!EC_GROUP_copy(t
, a
))
249 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
)
254 int EC_METHOD_get_field_type(const EC_METHOD
*meth
)
256 return meth
->field_type
;
259 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
,
260 const BIGNUM
*order
, const BIGNUM
*cofactor
)
262 if (generator
== NULL
) {
263 ECerr(EC_F_EC_GROUP_SET_GENERATOR
, ERR_R_PASSED_NULL_PARAMETER
);
267 if (group
->generator
== NULL
) {
268 group
->generator
= EC_POINT_new(group
);
269 if (group
->generator
== NULL
)
272 if (!EC_POINT_copy(group
->generator
, generator
))
276 if (!BN_copy(group
->order
, order
))
279 BN_zero(group
->order
);
281 if (cofactor
!= NULL
) {
282 if (!BN_copy(group
->cofactor
, cofactor
))
285 BN_zero(group
->cofactor
);
289 * Some groups have an order with
290 * factors of two, which makes the Montgomery setup fail.
291 * |group->mont_data| will be NULL in this case.
293 if (BN_is_odd(group
->order
)) {
294 return ec_precompute_mont_data(group
);
297 BN_MONT_CTX_free(group
->mont_data
);
298 group
->mont_data
= NULL
;
302 const EC_POINT
*EC_GROUP_get0_generator(const EC_GROUP
*group
)
304 return group
->generator
;
307 BN_MONT_CTX
*EC_GROUP_get_mont_data(const EC_GROUP
*group
)
309 return group
->mont_data
;
312 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
)
314 if (group
->order
== NULL
)
316 if (!BN_copy(order
, group
->order
))
319 return !BN_is_zero(order
);
322 const BIGNUM
*EC_GROUP_get0_order(const EC_GROUP
*group
)
327 int EC_GROUP_order_bits(const EC_GROUP
*group
)
329 OPENSSL_assert(group
->meth
->group_order_bits
!= NULL
);
330 return group
->meth
->group_order_bits(group
);
333 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
,
337 if (group
->cofactor
== NULL
)
339 if (!BN_copy(cofactor
, group
->cofactor
))
342 return !BN_is_zero(group
->cofactor
);
345 const BIGNUM
*EC_GROUP_get0_cofactor(const EC_GROUP
*group
)
347 return group
->cofactor
;
350 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
)
352 group
->curve_name
= nid
;
355 int EC_GROUP_get_curve_name(const EC_GROUP
*group
)
357 return group
->curve_name
;
360 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
)
362 group
->asn1_flag
= flag
;
365 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
)
367 return group
->asn1_flag
;
370 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
371 point_conversion_form_t form
)
373 group
->asn1_form
= form
;
376 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
379 return group
->asn1_form
;
382 size_t EC_GROUP_set_seed(EC_GROUP
*group
, const unsigned char *p
, size_t len
)
384 OPENSSL_free(group
->seed
);
391 if ((group
->seed
= OPENSSL_malloc(len
)) == NULL
)
393 memcpy(group
->seed
, p
, len
);
394 group
->seed_len
= len
;
399 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*group
)
404 size_t EC_GROUP_get_seed_len(const EC_GROUP
*group
)
406 return group
->seed_len
;
409 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
410 const BIGNUM
*b
, BN_CTX
*ctx
)
412 if (group
->meth
->group_set_curve
== 0) {
413 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
416 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
419 int EC_GROUP_get_curve_GFp(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
420 BIGNUM
*b
, BN_CTX
*ctx
)
422 if (group
->meth
->group_get_curve
== 0) {
423 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
426 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
429 #ifndef OPENSSL_NO_EC2M
430 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
431 const BIGNUM
*b
, BN_CTX
*ctx
)
433 if (group
->meth
->group_set_curve
== 0) {
434 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M
,
435 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
438 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
441 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
442 BIGNUM
*b
, BN_CTX
*ctx
)
444 if (group
->meth
->group_get_curve
== 0) {
445 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M
,
446 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
449 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
453 int EC_GROUP_get_degree(const EC_GROUP
*group
)
455 if (group
->meth
->group_get_degree
== 0) {
456 ECerr(EC_F_EC_GROUP_GET_DEGREE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
459 return group
->meth
->group_get_degree(group
);
462 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
)
464 if (group
->meth
->group_check_discriminant
== 0) {
465 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT
,
466 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
469 return group
->meth
->group_check_discriminant(group
, ctx
);
472 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
)
475 BIGNUM
*a1
, *a2
, *a3
, *b1
, *b2
, *b3
;
476 BN_CTX
*ctx_new
= NULL
;
478 /* compare the field types */
479 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a
)) !=
480 EC_METHOD_get_field_type(EC_GROUP_method_of(b
)))
482 /* compare the curve name (if present in both) */
483 if (EC_GROUP_get_curve_name(a
) && EC_GROUP_get_curve_name(b
) &&
484 EC_GROUP_get_curve_name(a
) != EC_GROUP_get_curve_name(b
))
486 if (a
->meth
->flags
& EC_FLAGS_CUSTOM_CURVE
)
490 ctx_new
= ctx
= BN_CTX_new();
495 a1
= BN_CTX_get(ctx
);
496 a2
= BN_CTX_get(ctx
);
497 a3
= BN_CTX_get(ctx
);
498 b1
= BN_CTX_get(ctx
);
499 b2
= BN_CTX_get(ctx
);
500 b3
= BN_CTX_get(ctx
);
503 BN_CTX_free(ctx_new
);
508 * XXX This approach assumes that the external representation of curves
509 * over the same field type is the same.
511 if (!a
->meth
->group_get_curve(a
, a1
, a2
, a3
, ctx
) ||
512 !b
->meth
->group_get_curve(b
, b1
, b2
, b3
, ctx
))
515 if (r
|| BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
) || BN_cmp(a3
, b3
))
518 /* XXX EC_POINT_cmp() assumes that the methods are equal */
519 if (r
|| EC_POINT_cmp(a
, EC_GROUP_get0_generator(a
),
520 EC_GROUP_get0_generator(b
), ctx
))
524 const BIGNUM
*ao
, *bo
, *ac
, *bc
;
525 /* compare the order and cofactor */
526 ao
= EC_GROUP_get0_order(a
);
527 bo
= EC_GROUP_get0_order(b
);
528 ac
= EC_GROUP_get0_cofactor(a
);
529 bc
= EC_GROUP_get0_cofactor(b
);
530 if (ao
== NULL
|| bo
== NULL
) {
532 BN_CTX_free(ctx_new
);
535 if (BN_cmp(ao
, bo
) || BN_cmp(ac
, bc
))
540 BN_CTX_free(ctx_new
);
545 /* functions for EC_POINT objects */
547 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
)
552 ECerr(EC_F_EC_POINT_NEW
, ERR_R_PASSED_NULL_PARAMETER
);
555 if (group
->meth
->point_init
== 0) {
556 ECerr(EC_F_EC_POINT_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
560 ret
= OPENSSL_zalloc(sizeof(*ret
));
562 ECerr(EC_F_EC_POINT_NEW
, ERR_R_MALLOC_FAILURE
);
566 ret
->meth
= group
->meth
;
568 if (!ret
->meth
->point_init(ret
)) {
576 void EC_POINT_free(EC_POINT
*point
)
581 if (point
->meth
->point_finish
!= 0)
582 point
->meth
->point_finish(point
);
586 void EC_POINT_clear_free(EC_POINT
*point
)
591 if (point
->meth
->point_clear_finish
!= 0)
592 point
->meth
->point_clear_finish(point
);
593 else if (point
->meth
->point_finish
!= 0)
594 point
->meth
->point_finish(point
);
595 OPENSSL_clear_free(point
, sizeof(*point
));
598 int EC_POINT_copy(EC_POINT
*dest
, const EC_POINT
*src
)
600 if (dest
->meth
->point_copy
== 0) {
601 ECerr(EC_F_EC_POINT_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
604 if (dest
->meth
!= src
->meth
) {
605 ECerr(EC_F_EC_POINT_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
610 return dest
->meth
->point_copy(dest
, src
);
613 EC_POINT
*EC_POINT_dup(const EC_POINT
*a
, const EC_GROUP
*group
)
621 t
= EC_POINT_new(group
);
624 r
= EC_POINT_copy(t
, a
);
632 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
)
637 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
)
639 if (group
->meth
->point_set_to_infinity
== 0) {
640 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
,
641 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
644 if (group
->meth
!= point
->meth
) {
645 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
648 return group
->meth
->point_set_to_infinity(group
, point
);
651 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
652 EC_POINT
*point
, const BIGNUM
*x
,
653 const BIGNUM
*y
, const BIGNUM
*z
,
656 if (group
->meth
->point_set_Jprojective_coordinates_GFp
== 0) {
657 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
658 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
661 if (group
->meth
!= point
->meth
) {
662 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
663 EC_R_INCOMPATIBLE_OBJECTS
);
666 return group
->meth
->point_set_Jprojective_coordinates_GFp(group
, point
, x
,
670 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
671 const EC_POINT
*point
, BIGNUM
*x
,
672 BIGNUM
*y
, BIGNUM
*z
,
675 if (group
->meth
->point_get_Jprojective_coordinates_GFp
== 0) {
676 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
677 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
680 if (group
->meth
!= point
->meth
) {
681 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
682 EC_R_INCOMPATIBLE_OBJECTS
);
685 return group
->meth
->point_get_Jprojective_coordinates_GFp(group
, point
, x
,
689 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
,
690 EC_POINT
*point
, const BIGNUM
*x
,
691 const BIGNUM
*y
, BN_CTX
*ctx
)
693 if (group
->meth
->point_set_affine_coordinates
== 0) {
694 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
695 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
698 if (group
->meth
!= point
->meth
) {
699 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
700 EC_R_INCOMPATIBLE_OBJECTS
);
703 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
706 #ifndef OPENSSL_NO_EC2M
707 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
,
708 EC_POINT
*point
, const BIGNUM
*x
,
709 const BIGNUM
*y
, BN_CTX
*ctx
)
711 if (group
->meth
->point_set_affine_coordinates
== 0) {
712 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
713 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
716 if (group
->meth
!= point
->meth
) {
717 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
718 EC_R_INCOMPATIBLE_OBJECTS
);
721 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
725 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
,
726 const EC_POINT
*point
, BIGNUM
*x
,
727 BIGNUM
*y
, BN_CTX
*ctx
)
729 if (group
->meth
->point_get_affine_coordinates
== 0) {
730 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
731 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
734 if (group
->meth
!= point
->meth
) {
735 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
736 EC_R_INCOMPATIBLE_OBJECTS
);
739 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
742 #ifndef OPENSSL_NO_EC2M
743 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
,
744 const EC_POINT
*point
, BIGNUM
*x
,
745 BIGNUM
*y
, BN_CTX
*ctx
)
747 if (group
->meth
->point_get_affine_coordinates
== 0) {
748 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
749 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
752 if (group
->meth
!= point
->meth
) {
753 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
754 EC_R_INCOMPATIBLE_OBJECTS
);
757 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
761 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
762 const EC_POINT
*b
, BN_CTX
*ctx
)
764 if (group
->meth
->add
== 0) {
765 ECerr(EC_F_EC_POINT_ADD
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
768 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)
769 || (a
->meth
!= b
->meth
)) {
770 ECerr(EC_F_EC_POINT_ADD
, EC_R_INCOMPATIBLE_OBJECTS
);
773 return group
->meth
->add(group
, r
, a
, b
, ctx
);
776 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
779 if (group
->meth
->dbl
== 0) {
780 ECerr(EC_F_EC_POINT_DBL
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
783 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)) {
784 ECerr(EC_F_EC_POINT_DBL
, EC_R_INCOMPATIBLE_OBJECTS
);
787 return group
->meth
->dbl(group
, r
, a
, ctx
);
790 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
)
792 if (group
->meth
->invert
== 0) {
793 ECerr(EC_F_EC_POINT_INVERT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
796 if (group
->meth
!= a
->meth
) {
797 ECerr(EC_F_EC_POINT_INVERT
, EC_R_INCOMPATIBLE_OBJECTS
);
800 return group
->meth
->invert(group
, a
, ctx
);
803 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*point
)
805 if (group
->meth
->is_at_infinity
== 0) {
806 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
,
807 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
810 if (group
->meth
!= point
->meth
) {
811 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
814 return group
->meth
->is_at_infinity(group
, point
);
818 * Check whether an EC_POINT is on the curve or not. Note that the return
819 * value for this function should NOT be treated as a boolean. Return values:
820 * 1: The point is on the curve
821 * 0: The point is not on the curve
822 * -1: An error occurred
824 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
,
827 if (group
->meth
->is_on_curve
== 0) {
828 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
831 if (group
->meth
!= point
->meth
) {
832 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, EC_R_INCOMPATIBLE_OBJECTS
);
835 return group
->meth
->is_on_curve(group
, point
, ctx
);
838 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
,
841 if (group
->meth
->point_cmp
== 0) {
842 ECerr(EC_F_EC_POINT_CMP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
845 if ((group
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
)) {
846 ECerr(EC_F_EC_POINT_CMP
, EC_R_INCOMPATIBLE_OBJECTS
);
849 return group
->meth
->point_cmp(group
, a
, b
, ctx
);
852 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
)
854 if (group
->meth
->make_affine
== 0) {
855 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
858 if (group
->meth
!= point
->meth
) {
859 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
862 return group
->meth
->make_affine(group
, point
, ctx
);
865 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
,
866 EC_POINT
*points
[], BN_CTX
*ctx
)
870 if (group
->meth
->points_make_affine
== 0) {
871 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
874 for (i
= 0; i
< num
; i
++) {
875 if (group
->meth
!= points
[i
]->meth
) {
876 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
880 return group
->meth
->points_make_affine(group
, num
, points
, ctx
);
884 * Functions for point multiplication. If group->meth->mul is 0, we use the
885 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
889 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*scalar
,
890 size_t num
, const EC_POINT
*points
[],
891 const BIGNUM
*scalars
[], BN_CTX
*ctx
)
893 if (group
->meth
->mul
== 0)
895 return ec_wNAF_mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
897 return group
->meth
->mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
900 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*g_scalar
,
901 const EC_POINT
*point
, const BIGNUM
*p_scalar
, BN_CTX
*ctx
)
903 /* just a convenient interface to EC_POINTs_mul() */
905 const EC_POINT
*points
[1];
906 const BIGNUM
*scalars
[1];
909 scalars
[0] = p_scalar
;
911 return EC_POINTs_mul(group
, r
, g_scalar
,
913 && p_scalar
!= NULL
), points
, scalars
, ctx
);
916 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
)
918 if (group
->meth
->mul
== 0)
920 return ec_wNAF_precompute_mult(group
, ctx
);
922 if (group
->meth
->precompute_mult
!= 0)
923 return group
->meth
->precompute_mult(group
, ctx
);
925 return 1; /* nothing to do, so report success */
928 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
)
930 if (group
->meth
->mul
== 0)
932 return ec_wNAF_have_precompute_mult(group
);
934 if (group
->meth
->have_precompute_mult
!= 0)
935 return group
->meth
->have_precompute_mult(group
);
937 return 0; /* cannot tell whether precomputation has
942 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
943 * returns one on success. On error it returns zero.
945 int ec_precompute_mont_data(EC_GROUP
*group
)
947 BN_CTX
*ctx
= BN_CTX_new();
950 BN_MONT_CTX_free(group
->mont_data
);
951 group
->mont_data
= NULL
;
956 group
->mont_data
= BN_MONT_CTX_new();
957 if (group
->mont_data
== NULL
)
960 if (!BN_MONT_CTX_set(group
->mont_data
, group
->order
, ctx
)) {
961 BN_MONT_CTX_free(group
->mont_data
);
962 group
->mont_data
= NULL
;
974 int EC_KEY_set_ex_data(EC_KEY
*key
, int idx
, void *arg
)
976 return CRYPTO_set_ex_data(&key
->ex_data
, idx
, arg
);
979 void *EC_KEY_get_ex_data(const EC_KEY
*key
, int idx
)
981 return CRYPTO_get_ex_data(&key
->ex_data
, idx
);
984 int ec_group_simple_order_bits(const EC_GROUP
*group
)
986 if (group
->order
== NULL
)
988 return BN_num_bits(group
->order
);