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 const char EC_version
[] = "EC" OPENSSL_VERSION_PTEXT
;
73 /* functions for EC_GROUP objects */
75 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*meth
)
80 ECerr(EC_F_EC_GROUP_NEW
, EC_R_SLOT_FULL
);
83 if (meth
->group_init
== 0) {
84 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
88 ret
= OPENSSL_malloc(sizeof(*ret
));
90 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_MALLOC_FAILURE
);
96 ret
->extra_data
= NULL
;
97 ret
->mont_data
= NULL
;
99 ret
->generator
= NULL
;
100 ret
->order
= BN_new();
101 ret
->cofactor
= NULL
;
104 ret
->cofactor
= BN_new();
109 ret
->asn1_flag
= OPENSSL_EC_NAMED_CURVE
;
110 ret
->asn1_form
= POINT_CONVERSION_UNCOMPRESSED
;
115 if (!meth
->group_init(ret
))
121 BN_free(ret
->cofactor
);
126 void EC_GROUP_free(EC_GROUP
*group
)
131 if (group
->meth
->group_finish
!= 0)
132 group
->meth
->group_finish(group
);
134 EC_EX_DATA_free_all_data(&group
->extra_data
);
135 BN_MONT_CTX_free(group
->mont_data
);
136 EC_POINT_free(group
->generator
);
137 BN_free(group
->order
);
138 BN_free(group
->cofactor
);
139 OPENSSL_free(group
->seed
);
143 void EC_GROUP_clear_free(EC_GROUP
*group
)
148 if (group
->meth
->group_clear_finish
!= 0)
149 group
->meth
->group_clear_finish(group
);
150 else if (group
->meth
->group_finish
!= 0)
151 group
->meth
->group_finish(group
);
153 EC_EX_DATA_clear_free_all_data(&group
->extra_data
);
155 BN_MONT_CTX_free(group
->mont_data
);
157 EC_POINT_clear_free(group
->generator
);
158 BN_clear_free(group
->order
);
159 BN_clear_free(group
->cofactor
);
160 OPENSSL_clear_free(group
->seed
, group
->seed_len
);
161 OPENSSL_clear_free(group
, sizeof(*group
));
164 int EC_GROUP_copy(EC_GROUP
*dest
, const EC_GROUP
*src
)
168 if (dest
->meth
->group_copy
== 0) {
169 ECerr(EC_F_EC_GROUP_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
172 if (dest
->meth
!= src
->meth
) {
173 ECerr(EC_F_EC_GROUP_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
179 EC_EX_DATA_free_all_data(&dest
->extra_data
);
181 for (d
= src
->extra_data
; d
!= NULL
; d
= d
->next
) {
182 void *t
= d
->dup_func(d
->data
);
186 if (!EC_EX_DATA_set_data
187 (&dest
->extra_data
, t
, d
->dup_func
, d
->free_func
,
192 if (src
->mont_data
!= NULL
) {
193 if (dest
->mont_data
== NULL
) {
194 dest
->mont_data
= BN_MONT_CTX_new();
195 if (dest
->mont_data
== NULL
)
198 if (!BN_MONT_CTX_copy(dest
->mont_data
, src
->mont_data
))
201 /* src->generator == NULL */
202 BN_MONT_CTX_free(dest
->mont_data
);
203 dest
->mont_data
= NULL
;
206 if (src
->generator
!= NULL
) {
207 if (dest
->generator
== NULL
) {
208 dest
->generator
= EC_POINT_new(dest
);
209 if (dest
->generator
== NULL
)
212 if (!EC_POINT_copy(dest
->generator
, src
->generator
))
215 /* src->generator == NULL */
216 EC_POINT_clear_free(dest
->generator
);
217 dest
->generator
= NULL
;
220 if (!BN_copy(dest
->order
, src
->order
))
222 if (!BN_copy(dest
->cofactor
, src
->cofactor
))
225 dest
->curve_name
= src
->curve_name
;
226 dest
->asn1_flag
= src
->asn1_flag
;
227 dest
->asn1_form
= src
->asn1_form
;
230 OPENSSL_free(dest
->seed
);
231 dest
->seed
= OPENSSL_malloc(src
->seed_len
);
232 if (dest
->seed
== NULL
)
234 if (!memcpy(dest
->seed
, src
->seed
, src
->seed_len
))
236 dest
->seed_len
= src
->seed_len
;
238 OPENSSL_free(dest
->seed
);
243 return dest
->meth
->group_copy(dest
, src
);
246 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*a
)
254 if ((t
= EC_GROUP_new(a
->meth
)) == NULL
)
256 if (!EC_GROUP_copy(t
, a
))
269 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
)
274 int EC_METHOD_get_field_type(const EC_METHOD
*meth
)
276 return meth
->field_type
;
279 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
,
280 const BIGNUM
*order
, const BIGNUM
*cofactor
)
282 if (generator
== NULL
) {
283 ECerr(EC_F_EC_GROUP_SET_GENERATOR
, ERR_R_PASSED_NULL_PARAMETER
);
287 if (group
->generator
== NULL
) {
288 group
->generator
= EC_POINT_new(group
);
289 if (group
->generator
== NULL
)
292 if (!EC_POINT_copy(group
->generator
, generator
))
296 if (!BN_copy(group
->order
, order
))
299 BN_zero(group
->order
);
301 if (cofactor
!= NULL
) {
302 if (!BN_copy(group
->cofactor
, cofactor
))
305 BN_zero(group
->cofactor
);
308 * We ignore the return value because some groups have an order with
309 * factors of two, which makes the Montgomery setup fail.
310 * |group->mont_data| will be NULL in this case.
312 ec_precompute_mont_data(group
);
317 const EC_POINT
*EC_GROUP_get0_generator(const EC_GROUP
*group
)
319 return group
->generator
;
322 BN_MONT_CTX
*EC_GROUP_get_mont_data(const EC_GROUP
*group
)
324 return group
->mont_data
;
327 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
)
329 if (!BN_copy(order
, group
->order
))
332 return !BN_is_zero(order
);
335 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
,
338 if (!BN_copy(cofactor
, group
->cofactor
))
341 return !BN_is_zero(group
->cofactor
);
344 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
)
346 group
->curve_name
= nid
;
349 int EC_GROUP_get_curve_name(const EC_GROUP
*group
)
351 return group
->curve_name
;
354 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
)
356 group
->asn1_flag
= flag
;
359 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
)
361 return group
->asn1_flag
;
364 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
365 point_conversion_form_t form
)
367 group
->asn1_form
= form
;
370 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
373 return group
->asn1_form
;
376 size_t EC_GROUP_set_seed(EC_GROUP
*group
, const unsigned char *p
, size_t len
)
378 OPENSSL_free(group
->seed
);
385 if ((group
->seed
= OPENSSL_malloc(len
)) == NULL
)
387 memcpy(group
->seed
, p
, len
);
388 group
->seed_len
= len
;
393 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*group
)
398 size_t EC_GROUP_get_seed_len(const EC_GROUP
*group
)
400 return group
->seed_len
;
403 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
404 const BIGNUM
*b
, BN_CTX
*ctx
)
406 if (group
->meth
->group_set_curve
== 0) {
407 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
410 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
413 int EC_GROUP_get_curve_GFp(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
414 BIGNUM
*b
, BN_CTX
*ctx
)
416 if (group
->meth
->group_get_curve
== 0) {
417 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
420 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
423 #ifndef OPENSSL_NO_EC2M
424 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
425 const BIGNUM
*b
, BN_CTX
*ctx
)
427 if (group
->meth
->group_set_curve
== 0) {
428 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M
,
429 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
432 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
435 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
436 BIGNUM
*b
, BN_CTX
*ctx
)
438 if (group
->meth
->group_get_curve
== 0) {
439 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M
,
440 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
443 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
447 int EC_GROUP_get_degree(const EC_GROUP
*group
)
449 if (group
->meth
->group_get_degree
== 0) {
450 ECerr(EC_F_EC_GROUP_GET_DEGREE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
453 return group
->meth
->group_get_degree(group
);
456 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
)
458 if (group
->meth
->group_check_discriminant
== 0) {
459 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT
,
460 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
463 return group
->meth
->group_check_discriminant(group
, ctx
);
466 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
)
469 BIGNUM
*a1
, *a2
, *a3
, *b1
, *b2
, *b3
;
470 BN_CTX
*ctx_new
= NULL
;
472 /* compare the field types */
473 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a
)) !=
474 EC_METHOD_get_field_type(EC_GROUP_method_of(b
)))
476 /* compare the curve name (if present in both) */
477 if (EC_GROUP_get_curve_name(a
) && EC_GROUP_get_curve_name(b
) &&
478 EC_GROUP_get_curve_name(a
) != EC_GROUP_get_curve_name(b
))
482 ctx_new
= ctx
= BN_CTX_new();
487 a1
= BN_CTX_get(ctx
);
488 a2
= BN_CTX_get(ctx
);
489 a3
= BN_CTX_get(ctx
);
490 b1
= BN_CTX_get(ctx
);
491 b2
= BN_CTX_get(ctx
);
492 b3
= BN_CTX_get(ctx
);
495 BN_CTX_free(ctx_new
);
500 * XXX This approach assumes that the external representation of curves
501 * over the same field type is the same.
503 if (!a
->meth
->group_get_curve(a
, a1
, a2
, a3
, ctx
) ||
504 !b
->meth
->group_get_curve(b
, b1
, b2
, b3
, ctx
))
507 if (r
|| BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
) || BN_cmp(a3
, b3
))
510 /* XXX EC_POINT_cmp() assumes that the methods are equal */
511 if (r
|| EC_POINT_cmp(a
, EC_GROUP_get0_generator(a
),
512 EC_GROUP_get0_generator(b
), ctx
))
516 /* compare the order and cofactor */
517 if (!EC_GROUP_get_order(a
, a1
, ctx
) ||
518 !EC_GROUP_get_order(b
, b1
, ctx
) ||
519 !EC_GROUP_get_cofactor(a
, a2
, ctx
) ||
520 !EC_GROUP_get_cofactor(b
, b2
, ctx
)) {
522 BN_CTX_free(ctx_new
);
525 if (BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
))
530 BN_CTX_free(ctx_new
);
535 /* this has 'package' visibility */
536 int EC_EX_DATA_set_data(EC_EXTRA_DATA
**ex_data
, void *data
,
537 void *(*dup_func
) (void *),
538 void (*free_func
) (void *),
539 void (*clear_free_func
) (void *))
546 for (d
= *ex_data
; d
!= NULL
; d
= d
->next
) {
547 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
548 && d
->clear_free_func
== clear_free_func
) {
549 ECerr(EC_F_EC_EX_DATA_SET_DATA
, EC_R_SLOT_FULL
);
555 /* no explicit entry needed */
558 d
= OPENSSL_malloc(sizeof(*d
));
563 d
->dup_func
= dup_func
;
564 d
->free_func
= free_func
;
565 d
->clear_free_func
= clear_free_func
;
573 /* this has 'package' visibility */
574 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA
*ex_data
,
575 void *(*dup_func
) (void *),
576 void (*free_func
) (void *),
577 void (*clear_free_func
) (void *))
579 const EC_EXTRA_DATA
*d
;
581 for (d
= ex_data
; d
!= NULL
; d
= d
->next
) {
582 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
583 && d
->clear_free_func
== clear_free_func
)
590 /* this has 'package' visibility */
591 void EC_EX_DATA_free_data(EC_EXTRA_DATA
**ex_data
,
592 void *(*dup_func
) (void *),
593 void (*free_func
) (void *),
594 void (*clear_free_func
) (void *))
601 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
)) {
602 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
603 && (*p
)->clear_free_func
== clear_free_func
) {
604 EC_EXTRA_DATA
*next
= (*p
)->next
;
606 (*p
)->free_func((*p
)->data
);
615 /* this has 'package' visibility */
616 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA
**ex_data
,
617 void *(*dup_func
) (void *),
618 void (*free_func
) (void *),
619 void (*clear_free_func
) (void *))
626 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
)) {
627 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
628 && (*p
)->clear_free_func
== clear_free_func
) {
629 EC_EXTRA_DATA
*next
= (*p
)->next
;
631 (*p
)->clear_free_func((*p
)->data
);
640 /* this has 'package' visibility */
641 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA
**ex_data
)
650 EC_EXTRA_DATA
*next
= d
->next
;
652 d
->free_func(d
->data
);
660 /* this has 'package' visibility */
661 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA
**ex_data
)
670 EC_EXTRA_DATA
*next
= d
->next
;
672 d
->clear_free_func(d
->data
);
680 /* functions for EC_POINT objects */
682 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
)
687 ECerr(EC_F_EC_POINT_NEW
, ERR_R_PASSED_NULL_PARAMETER
);
690 if (group
->meth
->point_init
== 0) {
691 ECerr(EC_F_EC_POINT_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
695 ret
= OPENSSL_malloc(sizeof(*ret
));
697 ECerr(EC_F_EC_POINT_NEW
, ERR_R_MALLOC_FAILURE
);
701 ret
->meth
= group
->meth
;
703 if (!ret
->meth
->point_init(ret
)) {
711 void EC_POINT_free(EC_POINT
*point
)
716 if (point
->meth
->point_finish
!= 0)
717 point
->meth
->point_finish(point
);
721 void EC_POINT_clear_free(EC_POINT
*point
)
726 if (point
->meth
->point_clear_finish
!= 0)
727 point
->meth
->point_clear_finish(point
);
728 else if (point
->meth
->point_finish
!= 0)
729 point
->meth
->point_finish(point
);
730 OPENSSL_clear_free(point
, sizeof(*point
));
733 int EC_POINT_copy(EC_POINT
*dest
, const EC_POINT
*src
)
735 if (dest
->meth
->point_copy
== 0) {
736 ECerr(EC_F_EC_POINT_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
739 if (dest
->meth
!= src
->meth
) {
740 ECerr(EC_F_EC_POINT_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
745 return dest
->meth
->point_copy(dest
, src
);
748 EC_POINT
*EC_POINT_dup(const EC_POINT
*a
, const EC_GROUP
*group
)
756 t
= EC_POINT_new(group
);
759 r
= EC_POINT_copy(t
, a
);
767 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
)
772 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
)
774 if (group
->meth
->point_set_to_infinity
== 0) {
775 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
,
776 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
779 if (group
->meth
!= point
->meth
) {
780 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
783 return group
->meth
->point_set_to_infinity(group
, point
);
786 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
787 EC_POINT
*point
, const BIGNUM
*x
,
788 const BIGNUM
*y
, const BIGNUM
*z
,
791 if (group
->meth
->point_set_Jprojective_coordinates_GFp
== 0) {
792 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
793 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
796 if (group
->meth
!= point
->meth
) {
797 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
,
798 EC_R_INCOMPATIBLE_OBJECTS
);
801 return group
->meth
->point_set_Jprojective_coordinates_GFp(group
, point
, x
,
805 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
806 const EC_POINT
*point
, BIGNUM
*x
,
807 BIGNUM
*y
, BIGNUM
*z
,
810 if (group
->meth
->point_get_Jprojective_coordinates_GFp
== 0) {
811 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
812 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
815 if (group
->meth
!= point
->meth
) {
816 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
,
817 EC_R_INCOMPATIBLE_OBJECTS
);
820 return group
->meth
->point_get_Jprojective_coordinates_GFp(group
, point
, x
,
824 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
,
825 EC_POINT
*point
, const BIGNUM
*x
,
826 const BIGNUM
*y
, BN_CTX
*ctx
)
828 if (group
->meth
->point_set_affine_coordinates
== 0) {
829 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
830 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
833 if (group
->meth
!= point
->meth
) {
834 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
,
835 EC_R_INCOMPATIBLE_OBJECTS
);
838 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
841 #ifndef OPENSSL_NO_EC2M
842 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
,
843 EC_POINT
*point
, const BIGNUM
*x
,
844 const BIGNUM
*y
, BN_CTX
*ctx
)
846 if (group
->meth
->point_set_affine_coordinates
== 0) {
847 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
848 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
851 if (group
->meth
!= point
->meth
) {
852 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
,
853 EC_R_INCOMPATIBLE_OBJECTS
);
856 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
860 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
,
861 const EC_POINT
*point
, BIGNUM
*x
,
862 BIGNUM
*y
, BN_CTX
*ctx
)
864 if (group
->meth
->point_get_affine_coordinates
== 0) {
865 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
866 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
869 if (group
->meth
!= point
->meth
) {
870 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
,
871 EC_R_INCOMPATIBLE_OBJECTS
);
874 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
877 #ifndef OPENSSL_NO_EC2M
878 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
,
879 const EC_POINT
*point
, BIGNUM
*x
,
880 BIGNUM
*y
, BN_CTX
*ctx
)
882 if (group
->meth
->point_get_affine_coordinates
== 0) {
883 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
884 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
887 if (group
->meth
!= point
->meth
) {
888 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
,
889 EC_R_INCOMPATIBLE_OBJECTS
);
892 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
896 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
897 const EC_POINT
*b
, BN_CTX
*ctx
)
899 if (group
->meth
->add
== 0) {
900 ECerr(EC_F_EC_POINT_ADD
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
903 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)
904 || (a
->meth
!= b
->meth
)) {
905 ECerr(EC_F_EC_POINT_ADD
, EC_R_INCOMPATIBLE_OBJECTS
);
908 return group
->meth
->add(group
, r
, a
, b
, ctx
);
911 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
914 if (group
->meth
->dbl
== 0) {
915 ECerr(EC_F_EC_POINT_DBL
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
918 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
)) {
919 ECerr(EC_F_EC_POINT_DBL
, EC_R_INCOMPATIBLE_OBJECTS
);
922 return group
->meth
->dbl(group
, r
, a
, ctx
);
925 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
)
927 if (group
->meth
->invert
== 0) {
928 ECerr(EC_F_EC_POINT_INVERT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
931 if (group
->meth
!= a
->meth
) {
932 ECerr(EC_F_EC_POINT_INVERT
, EC_R_INCOMPATIBLE_OBJECTS
);
935 return group
->meth
->invert(group
, a
, ctx
);
938 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*point
)
940 if (group
->meth
->is_at_infinity
== 0) {
941 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
,
942 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
945 if (group
->meth
!= point
->meth
) {
946 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
949 return group
->meth
->is_at_infinity(group
, point
);
953 * Check whether an EC_POINT is on the curve or not. Note that the return
954 * value for this function should NOT be treated as a boolean. Return values:
955 * 1: The point is on the curve
956 * 0: The point is not on the curve
957 * -1: An error occurred
959 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
,
962 if (group
->meth
->is_on_curve
== 0) {
963 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
966 if (group
->meth
!= point
->meth
) {
967 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, EC_R_INCOMPATIBLE_OBJECTS
);
970 return group
->meth
->is_on_curve(group
, point
, ctx
);
973 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
,
976 if (group
->meth
->point_cmp
== 0) {
977 ECerr(EC_F_EC_POINT_CMP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
980 if ((group
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
)) {
981 ECerr(EC_F_EC_POINT_CMP
, EC_R_INCOMPATIBLE_OBJECTS
);
984 return group
->meth
->point_cmp(group
, a
, b
, ctx
);
987 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
)
989 if (group
->meth
->make_affine
== 0) {
990 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
993 if (group
->meth
!= point
->meth
) {
994 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
997 return group
->meth
->make_affine(group
, point
, ctx
);
1000 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
,
1001 EC_POINT
*points
[], BN_CTX
*ctx
)
1005 if (group
->meth
->points_make_affine
== 0) {
1006 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1009 for (i
= 0; i
< num
; i
++) {
1010 if (group
->meth
!= points
[i
]->meth
) {
1011 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
1015 return group
->meth
->points_make_affine(group
, num
, points
, ctx
);
1019 * Functions for point multiplication. If group->meth->mul is 0, we use the
1020 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1024 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*scalar
,
1025 size_t num
, const EC_POINT
*points
[],
1026 const BIGNUM
*scalars
[], BN_CTX
*ctx
)
1028 if (group
->meth
->mul
== 0)
1030 return ec_wNAF_mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1032 return group
->meth
->mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1035 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*g_scalar
,
1036 const EC_POINT
*point
, const BIGNUM
*p_scalar
, BN_CTX
*ctx
)
1038 /* just a convenient interface to EC_POINTs_mul() */
1040 const EC_POINT
*points
[1];
1041 const BIGNUM
*scalars
[1];
1044 scalars
[0] = p_scalar
;
1046 return EC_POINTs_mul(group
, r
, g_scalar
,
1048 && p_scalar
!= NULL
), points
, scalars
, ctx
);
1051 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
)
1053 if (group
->meth
->mul
== 0)
1055 return ec_wNAF_precompute_mult(group
, ctx
);
1057 if (group
->meth
->precompute_mult
!= 0)
1058 return group
->meth
->precompute_mult(group
, ctx
);
1060 return 1; /* nothing to do, so report success */
1063 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
)
1065 if (group
->meth
->mul
== 0)
1067 return ec_wNAF_have_precompute_mult(group
);
1069 if (group
->meth
->have_precompute_mult
!= 0)
1070 return group
->meth
->have_precompute_mult(group
);
1072 return 0; /* cannot tell whether precomputation has
1077 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1078 * returns one on success. On error it returns zero.
1080 int ec_precompute_mont_data(EC_GROUP
*group
)
1082 BN_CTX
*ctx
= BN_CTX_new();
1085 BN_MONT_CTX_free(group
->mont_data
);
1086 group
->mont_data
= NULL
;
1091 group
->mont_data
= BN_MONT_CTX_new();
1092 if (!group
->mont_data
)
1095 if (!BN_MONT_CTX_set(group
->mont_data
, group
->order
, ctx
)) {
1096 BN_MONT_CTX_free(group
->mont_data
);
1097 group
->mont_data
= NULL
;