2 * Copyright 2001-2018 The OpenSSL Project Authors. All Rights Reserved.
3 * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
5 * Licensed under the OpenSSL license (the "License"). You may not use
6 * this file except in compliance with the License. You can obtain a copy
7 * in the file LICENSE in the source distribution or at
8 * https://www.openssl.org/source/license.html
13 #include <openssl/err.h>
14 #include <openssl/opensslv.h>
18 /* functions for EC_GROUP objects */
20 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*meth
)
25 ECerr(EC_F_EC_GROUP_NEW
, EC_R_SLOT_FULL
);
28 if (meth
->group_init
== 0) {
29 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
33 ret
= OPENSSL_zalloc(sizeof(*ret
));
35 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_MALLOC_FAILURE
);
40 if ((ret
->meth
->flags
& EC_FLAGS_CUSTOM_CURVE
) == 0) {
41 ret
->order
= BN_new();
42 if (ret
->order
== NULL
)
44 ret
->cofactor
= BN_new();
45 if (ret
->cofactor
== NULL
)
48 ret
->asn1_flag
= OPENSSL_EC_NAMED_CURVE
;
49 ret
->asn1_form
= POINT_CONVERSION_UNCOMPRESSED
;
50 if (!meth
->group_init(ret
))
56 BN_free(ret
->cofactor
);
61 void EC_pre_comp_free(EC_GROUP
*group
)
63 switch (group
->pre_comp_type
) {
67 #ifdef ECP_NISTZ256_ASM
68 EC_nistz256_pre_comp_free(group
->pre_comp
.nistz256
);
71 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
73 EC_nistp224_pre_comp_free(group
->pre_comp
.nistp224
);
76 EC_nistp256_pre_comp_free(group
->pre_comp
.nistp256
);
79 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 dest
->curve_name
= src
->curve_name
;
145 /* Copy precomputed */
146 dest
->pre_comp_type
= src
->pre_comp_type
;
147 switch (src
->pre_comp_type
) {
149 dest
->pre_comp
.ec
= NULL
;
152 #ifdef ECP_NISTZ256_ASM
153 dest
->pre_comp
.nistz256
= EC_nistz256_pre_comp_dup(src
->pre_comp
.nistz256
);
156 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
158 dest
->pre_comp
.nistp224
= EC_nistp224_pre_comp_dup(src
->pre_comp
.nistp224
);
161 dest
->pre_comp
.nistp256
= EC_nistp256_pre_comp_dup(src
->pre_comp
.nistp256
);
164 dest
->pre_comp
.nistp521
= EC_nistp521_pre_comp_dup(src
->pre_comp
.nistp521
);
173 dest
->pre_comp
.ec
= EC_ec_pre_comp_dup(src
->pre_comp
.ec
);
177 if (src
->mont_data
!= NULL
) {
178 if (dest
->mont_data
== NULL
) {
179 dest
->mont_data
= BN_MONT_CTX_new();
180 if (dest
->mont_data
== NULL
)
183 if (!BN_MONT_CTX_copy(dest
->mont_data
, src
->mont_data
))
186 /* src->generator == NULL */
187 BN_MONT_CTX_free(dest
->mont_data
);
188 dest
->mont_data
= NULL
;
191 if (src
->generator
!= NULL
) {
192 if (dest
->generator
== NULL
) {
193 dest
->generator
= EC_POINT_new(dest
);
194 if (dest
->generator
== NULL
)
197 if (!EC_POINT_copy(dest
->generator
, src
->generator
))
200 /* src->generator == NULL */
201 EC_POINT_clear_free(dest
->generator
);
202 dest
->generator
= NULL
;
205 if ((src
->meth
->flags
& EC_FLAGS_CUSTOM_CURVE
) == 0) {
206 if (!BN_copy(dest
->order
, src
->order
))
208 if (!BN_copy(dest
->cofactor
, src
->cofactor
))
212 dest
->asn1_flag
= src
->asn1_flag
;
213 dest
->asn1_form
= src
->asn1_form
;
216 OPENSSL_free(dest
->seed
);
217 if ((dest
->seed
= OPENSSL_malloc(src
->seed_len
)) == NULL
) {
218 ECerr(EC_F_EC_GROUP_COPY
, ERR_R_MALLOC_FAILURE
);
221 if (!memcpy(dest
->seed
, src
->seed
, src
->seed_len
))
223 dest
->seed_len
= src
->seed_len
;
225 OPENSSL_free(dest
->seed
);
230 return dest
->meth
->group_copy(dest
, src
);
233 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*a
)
241 if ((t
= EC_GROUP_new(a
->meth
)) == NULL
)
243 if (!EC_GROUP_copy(t
, a
))
256 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
)
261 int EC_METHOD_get_field_type(const EC_METHOD
*meth
)
263 return meth
->field_type
;
266 static int ec_precompute_mont_data(EC_GROUP
*);
268 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
,
269 const BIGNUM
*order
, const BIGNUM
*cofactor
)
271 if (generator
== NULL
) {
272 ECerr(EC_F_EC_GROUP_SET_GENERATOR
, ERR_R_PASSED_NULL_PARAMETER
);
276 if (group
->generator
== NULL
) {
277 group
->generator
= EC_POINT_new(group
);
278 if (group
->generator
== NULL
)
281 if (!EC_POINT_copy(group
->generator
, generator
))
285 if (!BN_copy(group
->order
, order
))
288 BN_zero(group
->order
);
290 if (cofactor
!= NULL
) {
291 if (!BN_copy(group
->cofactor
, cofactor
))
294 BN_zero(group
->cofactor
);
297 * Some groups have an order with
298 * factors of two, which makes the Montgomery setup fail.
299 * |group->mont_data| will be NULL in this case.
301 if (BN_is_odd(group
->order
)) {
302 return ec_precompute_mont_data(group
);
305 BN_MONT_CTX_free(group
->mont_data
);
306 group
->mont_data
= NULL
;
310 const EC_POINT
*EC_GROUP_get0_generator(const EC_GROUP
*group
)
312 return group
->generator
;
315 BN_MONT_CTX
*EC_GROUP_get_mont_data(const EC_GROUP
*group
)
317 return group
->mont_data
;
320 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
)
322 if (group
->order
== NULL
)
324 if (!BN_copy(order
, group
->order
))
327 return !BN_is_zero(order
);
330 const BIGNUM
*EC_GROUP_get0_order(const EC_GROUP
*group
)
335 int EC_GROUP_order_bits(const EC_GROUP
*group
)
337 return group
->meth
->group_order_bits(group
);
340 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
,
344 if (group
->cofactor
== NULL
)
346 if (!BN_copy(cofactor
, group
->cofactor
))
349 return !BN_is_zero(group
->cofactor
);
352 const BIGNUM
*EC_GROUP_get0_cofactor(const EC_GROUP
*group
)
354 return group
->cofactor
;
357 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
)
359 group
->curve_name
= nid
;
362 int EC_GROUP_get_curve_name(const EC_GROUP
*group
)
364 return group
->curve_name
;
367 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
)
369 group
->asn1_flag
= flag
;
372 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
)
374 return group
->asn1_flag
;
377 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
378 point_conversion_form_t form
)
380 group
->asn1_form
= form
;
383 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
386 return group
->asn1_form
;
389 size_t EC_GROUP_set_seed(EC_GROUP
*group
, const unsigned char *p
, size_t len
)
391 OPENSSL_free(group
->seed
);
398 if ((group
->seed
= OPENSSL_malloc(len
)) == NULL
) {
399 ECerr(EC_F_EC_GROUP_SET_SEED
, ERR_R_MALLOC_FAILURE
);
402 memcpy(group
->seed
, p
, len
);
403 group
->seed_len
= len
;
408 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*group
)
413 size_t EC_GROUP_get_seed_len(const EC_GROUP
*group
)
415 return group
->seed_len
;
418 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
419 const BIGNUM
*b
, BN_CTX
*ctx
)
421 if (group
->meth
->group_set_curve
== 0) {
422 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
425 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
428 int EC_GROUP_get_curve_GFp(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
429 BIGNUM
*b
, BN_CTX
*ctx
)
431 if (group
->meth
->group_get_curve
== 0) {
432 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
435 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
438 #ifndef OPENSSL_NO_EC2M
439 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
440 const BIGNUM
*b
, BN_CTX
*ctx
)
442 if (group
->meth
->group_set_curve
== 0) {
443 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M
,
444 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
447 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
450 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
451 BIGNUM
*b
, BN_CTX
*ctx
)
453 if (group
->meth
->group_get_curve
== 0) {
454 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M
,
455 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
458 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
462 int EC_GROUP_get_degree(const EC_GROUP
*group
)
464 if (group
->meth
->group_get_degree
== 0) {
465 ECerr(EC_F_EC_GROUP_GET_DEGREE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
468 return group
->meth
->group_get_degree(group
);
471 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
)
473 if (group
->meth
->group_check_discriminant
== 0) {
474 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT
,
475 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
478 return group
->meth
->group_check_discriminant(group
, ctx
);
481 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
)
484 BIGNUM
*a1
, *a2
, *a3
, *b1
, *b2
, *b3
;
485 BN_CTX
*ctx_new
= NULL
;
487 /* compare the field types */
488 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a
)) !=
489 EC_METHOD_get_field_type(EC_GROUP_method_of(b
)))
491 /* compare the curve name (if present in both) */
492 if (EC_GROUP_get_curve_name(a
) && EC_GROUP_get_curve_name(b
) &&
493 EC_GROUP_get_curve_name(a
) != EC_GROUP_get_curve_name(b
))
495 if (a
->meth
->flags
& EC_FLAGS_CUSTOM_CURVE
)
499 ctx_new
= ctx
= BN_CTX_new();
504 a1
= BN_CTX_get(ctx
);
505 a2
= BN_CTX_get(ctx
);
506 a3
= BN_CTX_get(ctx
);
507 b1
= BN_CTX_get(ctx
);
508 b2
= BN_CTX_get(ctx
);
509 b3
= BN_CTX_get(ctx
);
512 BN_CTX_free(ctx_new
);
517 * XXX This approach assumes that the external representation of curves
518 * over the same field type is the same.
520 if (!a
->meth
->group_get_curve(a
, a1
, a2
, a3
, ctx
) ||
521 !b
->meth
->group_get_curve(b
, b1
, b2
, b3
, ctx
))
524 if (r
|| BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
) || BN_cmp(a3
, b3
))
527 /* XXX EC_POINT_cmp() assumes that the methods are equal */
528 if (r
|| EC_POINT_cmp(a
, EC_GROUP_get0_generator(a
),
529 EC_GROUP_get0_generator(b
), ctx
))
533 const BIGNUM
*ao
, *bo
, *ac
, *bc
;
534 /* compare the order and cofactor */
535 ao
= EC_GROUP_get0_order(a
);
536 bo
= EC_GROUP_get0_order(b
);
537 ac
= EC_GROUP_get0_cofactor(a
);
538 bc
= EC_GROUP_get0_cofactor(b
);
539 if (ao
== NULL
|| bo
== NULL
) {
541 BN_CTX_free(ctx_new
);
544 if (BN_cmp(ao
, bo
) || BN_cmp(ac
, bc
))
549 BN_CTX_free(ctx_new
);
554 /* functions for EC_POINT objects */
556 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
)
561 ECerr(EC_F_EC_POINT_NEW
, ERR_R_PASSED_NULL_PARAMETER
);
564 if (group
->meth
->point_init
== NULL
) {
565 ECerr(EC_F_EC_POINT_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
569 ret
= OPENSSL_zalloc(sizeof(*ret
));
571 ECerr(EC_F_EC_POINT_NEW
, ERR_R_MALLOC_FAILURE
);
575 ret
->meth
= group
->meth
;
576 ret
->curve_name
= group
->curve_name
;
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 || (dest
->curve_name
!= src
->curve_name
616 && dest
->curve_name
!= 0
617 && src
->curve_name
!= 0)) {
618 ECerr(EC_F_EC_POINT_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
623 return dest
->meth
->point_copy(dest
, src
);
626 EC_POINT
*EC_POINT_dup(const EC_POINT
*a
, const EC_GROUP
*group
)
634 t
= EC_POINT_new(group
);
637 r
= EC_POINT_copy(t
, a
);
645 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
)
650 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
)
652 if (group
->meth
->point_set_to_infinity
== 0) {
653 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
,
654 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
657 if (group
->meth
!= point
->meth
) {
658 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
661 return group
->meth
->point_set_to_infinity(group
, point
);
664 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
665 EC_POINT
*point
, const BIGNUM
*x
,
666 const BIGNUM
*y
, const BIGNUM
*z
,
669 if (group
->meth
->point_set_Jprojective_coordinates_GFp
== 0) {
670 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
671 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
674 if (!ec_point_is_compat(point
, group
)) {
675 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
676 EC_R_INCOMPATIBLE_OBJECTS
);
679 return group
->meth
->point_set_Jprojective_coordinates_GFp(group
, point
, x
,
683 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
684 const EC_POINT
*point
, BIGNUM
*x
,
685 BIGNUM
*y
, BIGNUM
*z
,
688 if (group
->meth
->point_get_Jprojective_coordinates_GFp
== 0) {
689 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
690 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
693 if (!ec_point_is_compat(point
, group
)) {
694 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
695 EC_R_INCOMPATIBLE_OBJECTS
);
698 return group
->meth
->point_get_Jprojective_coordinates_GFp(group
, point
, x
,
702 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
,
703 EC_POINT
*point
, const BIGNUM
*x
,
704 const BIGNUM
*y
, BN_CTX
*ctx
)
706 if (group
->meth
->point_set_affine_coordinates
== 0) {
707 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
708 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
711 if (!ec_point_is_compat(point
, group
)) {
712 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
713 EC_R_INCOMPATIBLE_OBJECTS
);
716 if (!group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
))
719 if (EC_POINT_is_on_curve(group
, point
, ctx
) <= 0) {
720 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
721 EC_R_POINT_IS_NOT_ON_CURVE
);
727 #ifndef OPENSSL_NO_EC2M
728 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
,
729 EC_POINT
*point
, const BIGNUM
*x
,
730 const BIGNUM
*y
, BN_CTX
*ctx
)
732 if (group
->meth
->point_set_affine_coordinates
== 0) {
733 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
734 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
737 if (!ec_point_is_compat(point
, group
)) {
738 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
739 EC_R_INCOMPATIBLE_OBJECTS
);
742 if (!group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
))
745 if (EC_POINT_is_on_curve(group
, point
, ctx
) <= 0) {
746 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
747 EC_R_POINT_IS_NOT_ON_CURVE
);
754 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
,
755 const EC_POINT
*point
, BIGNUM
*x
,
756 BIGNUM
*y
, BN_CTX
*ctx
)
758 if (group
->meth
->point_get_affine_coordinates
== 0) {
759 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
760 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
763 if (!ec_point_is_compat(point
, group
)) {
764 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
765 EC_R_INCOMPATIBLE_OBJECTS
);
768 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
771 #ifndef OPENSSL_NO_EC2M
772 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
,
773 const EC_POINT
*point
, BIGNUM
*x
,
774 BIGNUM
*y
, BN_CTX
*ctx
)
776 if (group
->meth
->point_get_affine_coordinates
== 0) {
777 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
778 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
781 if (!ec_point_is_compat(point
, group
)) {
782 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
783 EC_R_INCOMPATIBLE_OBJECTS
);
786 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
790 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
791 const EC_POINT
*b
, BN_CTX
*ctx
)
793 if (group
->meth
->add
== 0) {
794 ECerr(EC_F_EC_POINT_ADD
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
797 if (!ec_point_is_compat(r
, group
) || !ec_point_is_compat(a
, group
)
798 || !ec_point_is_compat(b
, group
)) {
799 ECerr(EC_F_EC_POINT_ADD
, EC_R_INCOMPATIBLE_OBJECTS
);
802 return group
->meth
->add(group
, r
, a
, b
, ctx
);
805 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
808 if (group
->meth
->dbl
== 0) {
809 ECerr(EC_F_EC_POINT_DBL
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
812 if (!ec_point_is_compat(r
, group
) || !ec_point_is_compat(a
, group
)) {
813 ECerr(EC_F_EC_POINT_DBL
, EC_R_INCOMPATIBLE_OBJECTS
);
816 return group
->meth
->dbl(group
, r
, a
, ctx
);
819 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
)
821 if (group
->meth
->invert
== 0) {
822 ECerr(EC_F_EC_POINT_INVERT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
825 if (!ec_point_is_compat(a
, group
)) {
826 ECerr(EC_F_EC_POINT_INVERT
, EC_R_INCOMPATIBLE_OBJECTS
);
829 return group
->meth
->invert(group
, a
, ctx
);
832 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*point
)
834 if (group
->meth
->is_at_infinity
== 0) {
835 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
,
836 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
839 if (!ec_point_is_compat(point
, group
)) {
840 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
843 return group
->meth
->is_at_infinity(group
, point
);
847 * Check whether an EC_POINT is on the curve or not. Note that the return
848 * value for this function should NOT be treated as a boolean. Return values:
849 * 1: The point is on the curve
850 * 0: The point is not on the curve
851 * -1: An error occurred
853 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
,
856 if (group
->meth
->is_on_curve
== 0) {
857 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
860 if (!ec_point_is_compat(point
, group
)) {
861 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, EC_R_INCOMPATIBLE_OBJECTS
);
864 return group
->meth
->is_on_curve(group
, point
, ctx
);
867 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
,
870 if (group
->meth
->point_cmp
== 0) {
871 ECerr(EC_F_EC_POINT_CMP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
874 if (!ec_point_is_compat(a
, group
) || !ec_point_is_compat(b
, group
)) {
875 ECerr(EC_F_EC_POINT_CMP
, EC_R_INCOMPATIBLE_OBJECTS
);
878 return group
->meth
->point_cmp(group
, a
, b
, ctx
);
881 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
)
883 if (group
->meth
->make_affine
== 0) {
884 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
887 if (!ec_point_is_compat(point
, group
)) {
888 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
891 return group
->meth
->make_affine(group
, point
, ctx
);
894 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
,
895 EC_POINT
*points
[], BN_CTX
*ctx
)
899 if (group
->meth
->points_make_affine
== 0) {
900 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
903 for (i
= 0; i
< num
; i
++) {
904 if (!ec_point_is_compat(points
[i
], group
)) {
905 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
909 return group
->meth
->points_make_affine(group
, num
, points
, ctx
);
913 * Functions for point multiplication. If group->meth->mul is 0, we use the
914 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
918 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*scalar
,
919 size_t num
, const EC_POINT
*points
[],
920 const BIGNUM
*scalars
[], BN_CTX
*ctx
)
922 if (group
->meth
->mul
== 0)
924 return ec_wNAF_mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
926 return group
->meth
->mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
929 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*g_scalar
,
930 const EC_POINT
*point
, const BIGNUM
*p_scalar
, BN_CTX
*ctx
)
932 /* just a convenient interface to EC_POINTs_mul() */
934 const EC_POINT
*points
[1];
935 const BIGNUM
*scalars
[1];
938 scalars
[0] = p_scalar
;
940 return EC_POINTs_mul(group
, r
, g_scalar
,
942 && p_scalar
!= NULL
), points
, scalars
, ctx
);
945 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
)
947 if (group
->meth
->mul
== 0)
949 return ec_wNAF_precompute_mult(group
, ctx
);
951 if (group
->meth
->precompute_mult
!= 0)
952 return group
->meth
->precompute_mult(group
, ctx
);
954 return 1; /* nothing to do, so report success */
957 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
)
959 if (group
->meth
->mul
== 0)
961 return ec_wNAF_have_precompute_mult(group
);
963 if (group
->meth
->have_precompute_mult
!= 0)
964 return group
->meth
->have_precompute_mult(group
);
966 return 0; /* cannot tell whether precomputation has
971 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
972 * returns one on success. On error it returns zero.
974 static int ec_precompute_mont_data(EC_GROUP
*group
)
976 BN_CTX
*ctx
= BN_CTX_new();
979 BN_MONT_CTX_free(group
->mont_data
);
980 group
->mont_data
= NULL
;
985 group
->mont_data
= BN_MONT_CTX_new();
986 if (group
->mont_data
== NULL
)
989 if (!BN_MONT_CTX_set(group
->mont_data
, group
->order
, ctx
)) {
990 BN_MONT_CTX_free(group
->mont_data
);
991 group
->mont_data
= NULL
;
1003 int EC_KEY_set_ex_data(EC_KEY
*key
, int idx
, void *arg
)
1005 return CRYPTO_set_ex_data(&key
->ex_data
, idx
, arg
);
1008 void *EC_KEY_get_ex_data(const EC_KEY
*key
, int idx
)
1010 return CRYPTO_get_ex_data(&key
->ex_data
, idx
);
1013 int ec_group_simple_order_bits(const EC_GROUP
*group
)
1015 if (group
->order
== NULL
)
1017 return BN_num_bits(group
->order
);
1020 int EC_GROUP_do_inverse_ord(const EC_GROUP
*group
, BIGNUM
*res
,
1021 BIGNUM
*x
, BN_CTX
*ctx
)
1023 if (group
->meth
->field_inverse_mod_ord
!= NULL
)
1024 return group
->meth
->field_inverse_mod_ord(group
, res
, x
, ctx
);