1 /* crypto/ec/ec_lib.c */
3 * Originally written by Bodo Moeller for the OpenSSL project.
5 /* ====================================================================
6 * Copyright (c) 1998-2018 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 /* local function prototypes */
75 static int ec_precompute_mont_data(EC_GROUP
*group
);
77 /* functions for EC_GROUP objects */
79 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*meth
)
84 ECerr(EC_F_EC_GROUP_NEW
, EC_R_SLOT_FULL
);
87 if (meth
->group_init
== 0) {
88 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
92 ret
= OPENSSL_malloc(sizeof(*ret
));
94 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_MALLOC_FAILURE
);
100 ret
->extra_data
= NULL
;
101 ret
->mont_data
= NULL
;
103 ret
->generator
= NULL
;
104 BN_init(&ret
->order
);
105 BN_init(&ret
->cofactor
);
108 ret
->asn1_flag
= ~EC_GROUP_ASN1_FLAG_MASK
;
109 ret
->asn1_form
= POINT_CONVERSION_UNCOMPRESSED
;
114 if (!meth
->group_init(ret
)) {
122 void EC_GROUP_free(EC_GROUP
*group
)
127 if (group
->meth
->group_finish
!= 0)
128 group
->meth
->group_finish(group
);
130 EC_EX_DATA_free_all_data(&group
->extra_data
);
132 if (EC_GROUP_VERSION(group
) && group
->mont_data
)
133 BN_MONT_CTX_free(group
->mont_data
);
135 if (group
->generator
!= NULL
)
136 EC_POINT_free(group
->generator
);
137 BN_free(&group
->order
);
138 BN_free(&group
->cofactor
);
141 OPENSSL_free(group
->seed
);
146 void EC_GROUP_clear_free(EC_GROUP
*group
)
151 if (group
->meth
->group_clear_finish
!= 0)
152 group
->meth
->group_clear_finish(group
);
153 else if (group
->meth
->group_finish
!= 0)
154 group
->meth
->group_finish(group
);
156 EC_EX_DATA_clear_free_all_data(&group
->extra_data
);
158 if (EC_GROUP_VERSION(group
) && group
->mont_data
)
159 BN_MONT_CTX_free(group
->mont_data
);
161 if (group
->generator
!= NULL
)
162 EC_POINT_clear_free(group
->generator
);
163 BN_clear_free(&group
->order
);
164 BN_clear_free(&group
->cofactor
);
167 OPENSSL_cleanse(group
->seed
, group
->seed_len
);
168 OPENSSL_free(group
->seed
);
171 OPENSSL_cleanse(group
, sizeof(*group
));
175 int EC_GROUP_copy(EC_GROUP
*dest
, const EC_GROUP
*src
)
179 if (dest
->meth
->group_copy
== 0) {
180 ECerr(EC_F_EC_GROUP_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
183 if (dest
->meth
!= src
->meth
) {
184 ECerr(EC_F_EC_GROUP_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
190 EC_EX_DATA_free_all_data(&dest
->extra_data
);
192 for (d
= src
->extra_data
; d
!= NULL
; d
= d
->next
) {
193 void *t
= d
->dup_func(d
->data
);
197 if (!EC_EX_DATA_set_data
198 (&dest
->extra_data
, t
, d
->dup_func
, d
->free_func
,
203 if (EC_GROUP_VERSION(src
) && src
->mont_data
!= NULL
) {
204 if (dest
->mont_data
== NULL
) {
205 dest
->mont_data
= BN_MONT_CTX_new();
206 if (dest
->mont_data
== NULL
)
209 if (!BN_MONT_CTX_copy(dest
->mont_data
, src
->mont_data
))
212 /* src->generator == NULL */
213 if (EC_GROUP_VERSION(dest
) && dest
->mont_data
!= NULL
) {
214 BN_MONT_CTX_free(dest
->mont_data
);
215 dest
->mont_data
= NULL
;
219 if (src
->generator
!= NULL
) {
220 if (dest
->generator
== NULL
) {
221 dest
->generator
= EC_POINT_new(dest
);
222 if (dest
->generator
== NULL
)
225 if (!EC_POINT_copy(dest
->generator
, src
->generator
))
228 /* src->generator == NULL */
229 if (dest
->generator
!= NULL
) {
230 EC_POINT_clear_free(dest
->generator
);
231 dest
->generator
= NULL
;
235 if (!BN_copy(&dest
->order
, &src
->order
))
237 if (!BN_copy(&dest
->cofactor
, &src
->cofactor
))
240 dest
->curve_name
= src
->curve_name
;
241 dest
->asn1_flag
= src
->asn1_flag
;
242 dest
->asn1_form
= src
->asn1_form
;
246 OPENSSL_free(dest
->seed
);
247 dest
->seed
= OPENSSL_malloc(src
->seed_len
);
248 if (dest
->seed
== NULL
)
250 if (!memcpy(dest
->seed
, src
->seed
, src
->seed_len
))
252 dest
->seed_len
= src
->seed_len
;
255 OPENSSL_free(dest
->seed
);
260 return dest
->meth
->group_copy(dest
, src
);
263 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*a
)
271 if ((t
= EC_GROUP_new(a
->meth
)) == NULL
)
273 if (!EC_GROUP_copy(t
, a
))
287 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
)
292 int EC_METHOD_get_field_type(const EC_METHOD
*meth
)
294 return meth
->field_type
;
297 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
,
298 const BIGNUM
*order
, const BIGNUM
*cofactor
)
300 if (generator
== NULL
) {
301 ECerr(EC_F_EC_GROUP_SET_GENERATOR
, ERR_R_PASSED_NULL_PARAMETER
);
305 if (group
->generator
== NULL
) {
306 group
->generator
= EC_POINT_new(group
);
307 if (group
->generator
== NULL
)
310 if (!EC_POINT_copy(group
->generator
, generator
))
314 if (!BN_copy(&group
->order
, order
))
317 BN_zero(&group
->order
);
319 if (cofactor
!= NULL
) {
320 if (!BN_copy(&group
->cofactor
, cofactor
))
323 BN_zero(&group
->cofactor
);
326 * Access to the `mont_data` field of an EC_GROUP struct should always be
327 * guarded by an EC_GROUP_VERSION(group) check to avoid OOB accesses, as the
328 * group might come from the FIPS module, which does not define the
329 * `mont_data` field inside the EC_GROUP structure.
331 if (EC_GROUP_VERSION(group
)) {
333 * Some groups have an order with
334 * factors of two, which makes the Montgomery setup fail.
335 * |group->mont_data| will be NULL in this case.
337 if (BN_is_odd(&group
->order
))
338 return ec_precompute_mont_data(group
);
340 BN_MONT_CTX_free(group
->mont_data
);
341 group
->mont_data
= NULL
;
347 const EC_POINT
*EC_GROUP_get0_generator(const EC_GROUP
*group
)
349 return group
->generator
;
352 BN_MONT_CTX
*EC_GROUP_get_mont_data(const EC_GROUP
*group
)
354 return EC_GROUP_VERSION(group
) ? group
->mont_data
: NULL
;
357 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
)
359 if (!BN_copy(order
, &group
->order
))
362 return !BN_is_zero(order
);
365 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
,
368 if (!BN_copy(cofactor
, &group
->cofactor
))
371 return !BN_is_zero(&group
->cofactor
);
374 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
)
376 group
->curve_name
= nid
;
379 int EC_GROUP_get_curve_name(const EC_GROUP
*group
)
381 return group
->curve_name
;
384 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
)
386 group
->asn1_flag
&= ~EC_GROUP_ASN1_FLAG_MASK
;
387 group
->asn1_flag
|= flag
& EC_GROUP_ASN1_FLAG_MASK
;
390 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
)
392 return group
->asn1_flag
& EC_GROUP_ASN1_FLAG_MASK
;
395 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
396 point_conversion_form_t form
)
398 group
->asn1_form
= form
;
401 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
404 return group
->asn1_form
;
407 size_t EC_GROUP_set_seed(EC_GROUP
*group
, const unsigned char *p
, size_t len
)
410 OPENSSL_free(group
->seed
);
418 if ((group
->seed
= OPENSSL_malloc(len
)) == NULL
)
420 memcpy(group
->seed
, p
, len
);
421 group
->seed_len
= len
;
426 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*group
)
431 size_t EC_GROUP_get_seed_len(const EC_GROUP
*group
)
433 return group
->seed_len
;
436 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
437 const BIGNUM
*b
, BN_CTX
*ctx
)
439 if (group
->meth
->group_set_curve
== 0) {
440 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
443 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
446 int EC_GROUP_get_curve_GFp(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
447 BIGNUM
*b
, BN_CTX
*ctx
)
449 if (group
->meth
->group_get_curve
== 0) {
450 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
453 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
456 #ifndef OPENSSL_NO_EC2M
457 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
458 const BIGNUM
*b
, BN_CTX
*ctx
)
460 if (group
->meth
->group_set_curve
== 0) {
461 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M
,
462 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
465 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
468 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
469 BIGNUM
*b
, BN_CTX
*ctx
)
471 if (group
->meth
->group_get_curve
== 0) {
472 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M
,
473 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
476 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
480 int EC_GROUP_get_degree(const EC_GROUP
*group
)
482 if (group
->meth
->group_get_degree
== 0) {
483 ECerr(EC_F_EC_GROUP_GET_DEGREE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
486 return group
->meth
->group_get_degree(group
);
489 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
)
491 if (group
->meth
->group_check_discriminant
== 0) {
492 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT
,
493 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
496 return group
->meth
->group_check_discriminant(group
, ctx
);
499 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
)
502 BIGNUM
*a1
, *a2
, *a3
, *b1
, *b2
, *b3
;
503 BN_CTX
*ctx_new
= NULL
;
505 /* compare the field types */
506 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a
)) !=
507 EC_METHOD_get_field_type(EC_GROUP_method_of(b
)))
509 /* compare the curve name (if present in both) */
510 if (EC_GROUP_get_curve_name(a
) && EC_GROUP_get_curve_name(b
) &&
511 EC_GROUP_get_curve_name(a
) != EC_GROUP_get_curve_name(b
))
515 ctx_new
= ctx
= BN_CTX_new();
520 a1
= BN_CTX_get(ctx
);
521 a2
= BN_CTX_get(ctx
);
522 a3
= BN_CTX_get(ctx
);
523 b1
= BN_CTX_get(ctx
);
524 b2
= BN_CTX_get(ctx
);
525 b3
= BN_CTX_get(ctx
);
534 * XXX This approach assumes that the external representation of curves
535 * over the same field type is the same.
537 if (!a
->meth
->group_get_curve(a
, a1
, a2
, a3
, ctx
) ||
538 !b
->meth
->group_get_curve(b
, b1
, b2
, b3
, ctx
))
541 if (r
|| BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
) || BN_cmp(a3
, b3
))
544 /* XXX EC_POINT_cmp() assumes that the methods are equal */
545 if (r
|| EC_POINT_cmp(a
, EC_GROUP_get0_generator(a
),
546 EC_GROUP_get0_generator(b
), ctx
))
550 /* compare the order and cofactor */
551 if (!EC_GROUP_get_order(a
, a1
, ctx
) ||
552 !EC_GROUP_get_order(b
, b1
, ctx
) ||
553 !EC_GROUP_get_cofactor(a
, a2
, ctx
) ||
554 !EC_GROUP_get_cofactor(b
, b2
, ctx
)) {
560 if (BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
))
571 /* this has 'package' visibility */
572 int EC_EX_DATA_set_data(EC_EXTRA_DATA
**ex_data
, void *data
,
573 void *(*dup_func
) (void *),
574 void (*free_func
) (void *),
575 void (*clear_free_func
) (void *))
582 for (d
= *ex_data
; d
!= NULL
; d
= d
->next
) {
583 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
584 && d
->clear_free_func
== clear_free_func
) {
585 ECerr(EC_F_EC_EX_DATA_SET_DATA
, EC_R_SLOT_FULL
);
591 /* no explicit entry needed */
594 d
= OPENSSL_malloc(sizeof(*d
));
599 d
->dup_func
= dup_func
;
600 d
->free_func
= free_func
;
601 d
->clear_free_func
= clear_free_func
;
609 /* this has 'package' visibility */
610 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA
*ex_data
,
611 void *(*dup_func
) (void *),
612 void (*free_func
) (void *),
613 void (*clear_free_func
) (void *))
615 const EC_EXTRA_DATA
*d
;
617 for (d
= ex_data
; d
!= NULL
; d
= d
->next
) {
618 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
619 && d
->clear_free_func
== clear_free_func
)
626 /* this has 'package' visibility */
627 void EC_EX_DATA_free_data(EC_EXTRA_DATA
**ex_data
,
628 void *(*dup_func
) (void *),
629 void (*free_func
) (void *),
630 void (*clear_free_func
) (void *))
637 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
)) {
638 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
639 && (*p
)->clear_free_func
== clear_free_func
) {
640 EC_EXTRA_DATA
*next
= (*p
)->next
;
642 (*p
)->free_func((*p
)->data
);
651 /* this has 'package' visibility */
652 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA
**ex_data
,
653 void *(*dup_func
) (void *),
654 void (*free_func
) (void *),
655 void (*clear_free_func
) (void *))
662 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
)) {
663 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
664 && (*p
)->clear_free_func
== clear_free_func
) {
665 EC_EXTRA_DATA
*next
= (*p
)->next
;
667 (*p
)->clear_free_func((*p
)->data
);
676 /* this has 'package' visibility */
677 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA
**ex_data
)
686 EC_EXTRA_DATA
*next
= d
->next
;
688 d
->free_func(d
->data
);
696 /* this has 'package' visibility */
697 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA
**ex_data
)
706 EC_EXTRA_DATA
*next
= d
->next
;
708 d
->clear_free_func(d
->data
);
716 /* functions for EC_POINT objects */
718 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
)
723 ECerr(EC_F_EC_POINT_NEW
, ERR_R_PASSED_NULL_PARAMETER
);
726 if (group
->meth
->point_init
== 0) {
727 ECerr(EC_F_EC_POINT_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
731 ret
= OPENSSL_malloc(sizeof(*ret
));
733 ECerr(EC_F_EC_POINT_NEW
, ERR_R_MALLOC_FAILURE
);
737 ret
->meth
= group
->meth
;
739 if (!ret
->meth
->point_init(ret
)) {
747 void EC_POINT_free(EC_POINT
*point
)
752 if (point
->meth
->point_finish
!= 0)
753 point
->meth
->point_finish(point
);
757 void EC_POINT_clear_free(EC_POINT
*point
)
762 if (point
->meth
->point_clear_finish
!= 0)
763 point
->meth
->point_clear_finish(point
);
764 else if (point
->meth
->point_finish
!= 0)
765 point
->meth
->point_finish(point
);
766 OPENSSL_cleanse(point
, sizeof(*point
));
770 int EC_POINT_copy(EC_POINT
*dest
, const EC_POINT
*src
)
772 if (dest
->meth
->point_copy
== 0) {
773 ECerr(EC_F_EC_POINT_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
776 if (dest
->meth
!= src
->meth
) {
777 ECerr(EC_F_EC_POINT_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
782 return dest
->meth
->point_copy(dest
, src
);
785 EC_POINT
*EC_POINT_dup(const EC_POINT
*a
, const EC_GROUP
*group
)
793 t
= EC_POINT_new(group
);
796 r
= EC_POINT_copy(t
, a
);
804 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
)
809 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
)
811 if (group
->meth
->point_set_to_infinity
== 0) {
812 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
,
813 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
816 if (group
->meth
!= point
->meth
) {
817 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
820 return group
->meth
->point_set_to_infinity(group
, point
);
823 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
824 EC_POINT
*point
, const BIGNUM
*x
,
825 const BIGNUM
*y
, const BIGNUM
*z
,
828 if (group
->meth
->point_set_Jprojective_coordinates_GFp
== 0) {
829 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
830 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
833 if (group
->meth
!= point
->meth
) {
834 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
835 EC_R_INCOMPATIBLE_OBJECTS
);
838 return group
->meth
->point_set_Jprojective_coordinates_GFp(group
, point
, x
,
842 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
843 const EC_POINT
*point
, BIGNUM
*x
,
844 BIGNUM
*y
, BIGNUM
*z
,
847 if (group
->meth
->point_get_Jprojective_coordinates_GFp
== 0) {
848 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
849 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
852 if (group
->meth
!= point
->meth
) {
853 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
854 EC_R_INCOMPATIBLE_OBJECTS
);
857 return group
->meth
->point_get_Jprojective_coordinates_GFp(group
, point
, x
,
861 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
,
862 EC_POINT
*point
, const BIGNUM
*x
,
863 const BIGNUM
*y
, BN_CTX
*ctx
)
865 if (group
->meth
->point_set_affine_coordinates
== 0) {
866 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
867 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
870 if (group
->meth
!= point
->meth
) {
871 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
872 EC_R_INCOMPATIBLE_OBJECTS
);
875 if (!group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
))
878 if (EC_POINT_is_on_curve(group
, point
, ctx
) <= 0) {
879 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
880 EC_R_POINT_IS_NOT_ON_CURVE
);
886 #ifndef OPENSSL_NO_EC2M
887 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
,
888 EC_POINT
*point
, const BIGNUM
*x
,
889 const BIGNUM
*y
, BN_CTX
*ctx
)
891 if (group
->meth
->point_set_affine_coordinates
== 0) {
892 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
893 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
896 if (group
->meth
!= point
->meth
) {
897 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
898 EC_R_INCOMPATIBLE_OBJECTS
);
901 if (!group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
))
904 if (EC_POINT_is_on_curve(group
, point
, ctx
) <= 0) {
905 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
906 EC_R_POINT_IS_NOT_ON_CURVE
);
913 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
,
914 const EC_POINT
*point
, BIGNUM
*x
,
915 BIGNUM
*y
, BN_CTX
*ctx
)
917 if (group
->meth
->point_get_affine_coordinates
== 0) {
918 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
919 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
922 if (group
->meth
!= point
->meth
) {
923 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
924 EC_R_INCOMPATIBLE_OBJECTS
);
927 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
930 #ifndef OPENSSL_NO_EC2M
931 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
,
932 const EC_POINT
*point
, BIGNUM
*x
,
933 BIGNUM
*y
, BN_CTX
*ctx
)
935 if (group
->meth
->point_get_affine_coordinates
== 0) {
936 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
937 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
940 if (group
->meth
!= point
->meth
) {
941 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
942 EC_R_INCOMPATIBLE_OBJECTS
);
945 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
949 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
950 const EC_POINT
*b
, BN_CTX
*ctx
)
952 if (group
->meth
->add
== 0) {
953 ECerr(EC_F_EC_POINT_ADD
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
956 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)
957 || (a
->meth
!= b
->meth
)) {
958 ECerr(EC_F_EC_POINT_ADD
, EC_R_INCOMPATIBLE_OBJECTS
);
961 return group
->meth
->add(group
, r
, a
, b
, ctx
);
964 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
967 if (group
->meth
->dbl
== 0) {
968 ECerr(EC_F_EC_POINT_DBL
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
971 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)) {
972 ECerr(EC_F_EC_POINT_DBL
, EC_R_INCOMPATIBLE_OBJECTS
);
975 return group
->meth
->dbl(group
, r
, a
, ctx
);
978 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
)
980 if (group
->meth
->invert
== 0) {
981 ECerr(EC_F_EC_POINT_INVERT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
984 if (group
->meth
!= a
->meth
) {
985 ECerr(EC_F_EC_POINT_INVERT
, EC_R_INCOMPATIBLE_OBJECTS
);
988 return group
->meth
->invert(group
, a
, ctx
);
991 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*point
)
993 if (group
->meth
->is_at_infinity
== 0) {
994 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
,
995 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
998 if (group
->meth
!= point
->meth
) {
999 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
1002 return group
->meth
->is_at_infinity(group
, point
);
1006 * Check whether an EC_POINT is on the curve or not. Note that the return
1007 * value for this function should NOT be treated as a boolean. Return values:
1008 * 1: The point is on the curve
1009 * 0: The point is not on the curve
1010 * -1: An error occurred
1012 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
,
1015 if (group
->meth
->is_on_curve
== 0) {
1016 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1019 if (group
->meth
!= point
->meth
) {
1020 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, EC_R_INCOMPATIBLE_OBJECTS
);
1023 return group
->meth
->is_on_curve(group
, point
, ctx
);
1026 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
,
1029 if (group
->meth
->point_cmp
== 0) {
1030 ECerr(EC_F_EC_POINT_CMP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1033 if ((group
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
)) {
1034 ECerr(EC_F_EC_POINT_CMP
, EC_R_INCOMPATIBLE_OBJECTS
);
1037 return group
->meth
->point_cmp(group
, a
, b
, ctx
);
1040 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
)
1042 if (group
->meth
->make_affine
== 0) {
1043 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1046 if (group
->meth
!= point
->meth
) {
1047 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
1050 return group
->meth
->make_affine(group
, point
, ctx
);
1053 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
,
1054 EC_POINT
*points
[], BN_CTX
*ctx
)
1058 if (group
->meth
->points_make_affine
== 0) {
1059 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1062 for (i
= 0; i
< num
; i
++) {
1063 if (group
->meth
!= points
[i
]->meth
) {
1064 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
1068 return group
->meth
->points_make_affine(group
, num
, points
, ctx
);
1072 * Functions for point multiplication. If group->meth->mul is 0, we use the
1073 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1077 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*scalar
,
1078 size_t num
, const EC_POINT
*points
[],
1079 const BIGNUM
*scalars
[], BN_CTX
*ctx
)
1081 if (group
->meth
->mul
== 0)
1083 return ec_wNAF_mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1085 return group
->meth
->mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1088 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*g_scalar
,
1089 const EC_POINT
*point
, const BIGNUM
*p_scalar
, BN_CTX
*ctx
)
1091 /* just a convenient interface to EC_POINTs_mul() */
1093 const EC_POINT
*points
[1];
1094 const BIGNUM
*scalars
[1];
1097 scalars
[0] = p_scalar
;
1099 return EC_POINTs_mul(group
, r
, g_scalar
,
1101 && p_scalar
!= NULL
), points
, scalars
, ctx
);
1104 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
)
1106 if (group
->meth
->mul
== 0)
1108 return ec_wNAF_precompute_mult(group
, ctx
);
1110 if (group
->meth
->precompute_mult
!= 0)
1111 return group
->meth
->precompute_mult(group
, ctx
);
1113 return 1; /* nothing to do, so report success */
1116 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
)
1118 if (group
->meth
->mul
== 0)
1120 return ec_wNAF_have_precompute_mult(group
);
1122 if (group
->meth
->have_precompute_mult
!= 0)
1123 return group
->meth
->have_precompute_mult(group
);
1125 return 0; /* cannot tell whether precomputation has
1130 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1131 * returns one on success. On error it returns zero.
1133 * Note: this function must be called only after verifying that
1134 * EC_GROUP_VERSION(group) returns true.
1135 * The reason for this is that access to the `mont_data` field of an EC_GROUP
1136 * struct should always be guarded by an EC_GROUP_VERSION(group) check to avoid
1137 * OOB accesses, as the group might come from the FIPS module, which does not
1138 * define the `mont_data` field inside the EC_GROUP structure.
1141 int ec_precompute_mont_data(EC_GROUP
*group
)
1143 BN_CTX
*ctx
= BN_CTX_new();
1146 if (group
->mont_data
) {
1147 BN_MONT_CTX_free(group
->mont_data
);
1148 group
->mont_data
= NULL
;
1154 group
->mont_data
= BN_MONT_CTX_new();
1155 if (!group
->mont_data
)
1158 if (!BN_MONT_CTX_set(group
->mont_data
, &group
->order
, ctx
)) {
1159 BN_MONT_CTX_free(group
->mont_data
);
1160 group
->mont_data
= NULL
;