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.
64 #define OPENSSL_FIPSAPI
68 #include <openssl/err.h>
69 #include <openssl/opensslv.h>
74 static const char EC_version
[] = "EC" OPENSSL_VERSION_PTEXT
;
77 /* functions for EC_GROUP objects */
79 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*meth
)
85 ECerr(EC_F_EC_GROUP_NEW
, EC_R_SLOT_FULL
);
88 if (meth
->group_init
== 0)
90 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
94 ret
= OPENSSL_malloc(sizeof *ret
);
97 ECerr(EC_F_EC_GROUP_NEW
, ERR_R_MALLOC_FAILURE
);
103 ret
->extra_data
= NULL
;
105 ret
->generator
= NULL
;
106 BN_init(&ret
->order
);
107 BN_init(&ret
->cofactor
);
111 ret
->asn1_form
= POINT_CONVERSION_UNCOMPRESSED
;
116 if (!meth
->group_init(ret
))
126 void EC_GROUP_free(EC_GROUP
*group
)
130 if (group
->meth
->group_finish
!= 0)
131 group
->meth
->group_finish(group
);
133 EC_EX_DATA_free_all_data(&group
->extra_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
);
147 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 (group
->generator
!= NULL
)
159 EC_POINT_clear_free(group
->generator
);
160 BN_clear_free(&group
->order
);
161 BN_clear_free(&group
->cofactor
);
165 OPENSSL_cleanse(group
->seed
, group
->seed_len
);
166 OPENSSL_free(group
->seed
);
169 OPENSSL_cleanse(group
, sizeof *group
);
174 int EC_GROUP_copy(EC_GROUP
*dest
, const EC_GROUP
*src
)
178 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
)
185 ECerr(EC_F_EC_GROUP_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
191 EC_EX_DATA_free_all_data(&dest
->extra_data
);
193 for (d
= src
->extra_data
; d
!= NULL
; d
= d
->next
)
195 void *t
= d
->dup_func(d
->data
);
199 if (!EC_EX_DATA_set_data(&dest
->extra_data
, t
, d
->dup_func
, d
->free_func
, d
->clear_free_func
))
203 if (src
->generator
!= NULL
)
205 if (dest
->generator
== NULL
)
207 dest
->generator
= EC_POINT_new(dest
);
208 if (dest
->generator
== NULL
) return 0;
210 if (!EC_POINT_copy(dest
->generator
, src
->generator
)) return 0;
214 /* src->generator == NULL */
215 if (dest
->generator
!= NULL
)
217 EC_POINT_clear_free(dest
->generator
);
218 dest
->generator
= NULL
;
222 if (!BN_copy(&dest
->order
, &src
->order
)) return 0;
223 if (!BN_copy(&dest
->cofactor
, &src
->cofactor
)) return 0;
225 dest
->curve_name
= src
->curve_name
;
226 dest
->asn1_flag
= src
->asn1_flag
;
227 dest
->asn1_form
= src
->asn1_form
;
232 OPENSSL_free(dest
->seed
);
233 dest
->seed
= OPENSSL_malloc(src
->seed_len
);
234 if (dest
->seed
== NULL
)
236 if (!memcpy(dest
->seed
, src
->seed
, src
->seed_len
))
238 dest
->seed_len
= src
->seed_len
;
243 OPENSSL_free(dest
->seed
);
249 return dest
->meth
->group_copy(dest
, src
);
253 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*a
)
258 if (a
== NULL
) return NULL
;
260 if ((t
= EC_GROUP_new(a
->meth
)) == NULL
) return(NULL
);
261 if (!EC_GROUP_copy(t
, a
)) goto err
;
268 if (t
) EC_GROUP_free(t
);
275 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
)
281 int EC_METHOD_get_field_type(const EC_METHOD
*meth
)
283 return meth
->field_type
;
287 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
, const BIGNUM
*order
, const BIGNUM
*cofactor
)
289 if (generator
== NULL
)
291 ECerr(EC_F_EC_GROUP_SET_GENERATOR
, ERR_R_PASSED_NULL_PARAMETER
);
295 if (group
->generator
== NULL
)
297 group
->generator
= EC_POINT_new(group
);
298 if (group
->generator
== NULL
) return 0;
300 if (!EC_POINT_copy(group
->generator
, generator
)) return 0;
303 { if (!BN_copy(&group
->order
, order
)) return 0; }
305 BN_zero(&group
->order
);
307 if (cofactor
!= NULL
)
308 { if (!BN_copy(&group
->cofactor
, cofactor
)) return 0; }
310 BN_zero(&group
->cofactor
);
316 const EC_POINT
*EC_GROUP_get0_generator(const EC_GROUP
*group
)
318 return group
->generator
;
322 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
)
324 if (!BN_copy(order
, &group
->order
))
327 return !BN_is_zero(order
);
331 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
, BN_CTX
*ctx
)
333 if (!BN_copy(cofactor
, &group
->cofactor
))
336 return !BN_is_zero(&group
->cofactor
);
340 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
)
342 group
->curve_name
= nid
;
346 int EC_GROUP_get_curve_name(const EC_GROUP
*group
)
348 return group
->curve_name
;
352 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
)
354 group
->asn1_flag
= flag
;
358 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
)
360 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
;
371 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
*group
)
373 return group
->asn1_form
;
377 size_t EC_GROUP_set_seed(EC_GROUP
*group
, const unsigned char *p
, size_t len
)
381 OPENSSL_free(group
->seed
);
389 if ((group
->seed
= OPENSSL_malloc(len
)) == NULL
)
391 memcpy(group
->seed
, p
, len
);
392 group
->seed_len
= len
;
398 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
;
410 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*ctx
)
412 if (group
->meth
->group_set_curve
== 0)
414 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
417 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
421 int EC_GROUP_get_curve_GFp(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
, BIGNUM
*b
, BN_CTX
*ctx
)
423 if (group
->meth
->group_get_curve
== 0)
425 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
428 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
431 #ifndef OPENSSL_NO_EC2M
432 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
, const BIGNUM
*b
, BN_CTX
*ctx
)
434 if (group
->meth
->group_set_curve
== 0)
436 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
439 return group
->meth
->group_set_curve(group
, p
, a
, b
, ctx
);
443 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
, BIGNUM
*b
, BN_CTX
*ctx
)
445 if (group
->meth
->group_get_curve
== 0)
447 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
450 return group
->meth
->group_get_curve(group
, p
, a
, b
, ctx
);
454 int EC_GROUP_get_degree(const EC_GROUP
*group
)
456 if (group
->meth
->group_get_degree
== 0)
458 ECerr(EC_F_EC_GROUP_GET_DEGREE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
461 return group
->meth
->group_get_degree(group
);
465 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
)
467 if (group
->meth
->group_check_discriminant
== 0)
469 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
472 return group
->meth
->group_check_discriminant(group
, ctx
);
476 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
)
479 BIGNUM
*a1
, *a2
, *a3
, *b1
, *b2
, *b3
;
480 BN_CTX
*ctx_new
= NULL
;
482 /* compare the field types*/
483 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a
)) !=
484 EC_METHOD_get_field_type(EC_GROUP_method_of(b
)))
486 /* compare the curve name (if present) */
487 if (EC_GROUP_get_curve_name(a
) && EC_GROUP_get_curve_name(b
) &&
488 EC_GROUP_get_curve_name(a
) == EC_GROUP_get_curve_name(b
))
492 ctx_new
= ctx
= BN_CTX_new();
497 a1
= BN_CTX_get(ctx
);
498 a2
= BN_CTX_get(ctx
);
499 a3
= BN_CTX_get(ctx
);
500 b1
= BN_CTX_get(ctx
);
501 b2
= BN_CTX_get(ctx
);
502 b3
= BN_CTX_get(ctx
);
511 /* XXX This approach assumes that the external representation
512 * of curves over the same field type is the same.
514 if (!a
->meth
->group_get_curve(a
, a1
, a2
, a3
, ctx
) ||
515 !b
->meth
->group_get_curve(b
, b1
, b2
, b3
, ctx
))
518 if (r
|| BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
) || BN_cmp(a3
, b3
))
521 /* XXX EC_POINT_cmp() assumes that the methods are equal */
522 if (r
|| EC_POINT_cmp(a
, EC_GROUP_get0_generator(a
),
523 EC_GROUP_get0_generator(b
), ctx
))
528 /* compare the order and cofactor */
529 if (!EC_GROUP_get_order(a
, a1
, ctx
) ||
530 !EC_GROUP_get_order(b
, b1
, ctx
) ||
531 !EC_GROUP_get_cofactor(a
, a2
, ctx
) ||
532 !EC_GROUP_get_cofactor(b
, b2
, ctx
))
539 if (BN_cmp(a1
, b1
) || BN_cmp(a2
, b2
))
551 /* this has 'package' visibility */
552 int EC_EX_DATA_set_data(EC_EXTRA_DATA
**ex_data
, void *data
,
553 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
560 for (d
= *ex_data
; d
!= NULL
; d
= d
->next
)
562 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
&& d
->clear_free_func
== clear_free_func
)
564 ECerr(EC_F_EC_EX_DATA_SET_DATA
, EC_R_SLOT_FULL
);
570 /* no explicit entry needed */
573 d
= OPENSSL_malloc(sizeof *d
);
578 d
->dup_func
= dup_func
;
579 d
->free_func
= free_func
;
580 d
->clear_free_func
= clear_free_func
;
588 /* this has 'package' visibility */
589 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA
*ex_data
,
590 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
592 const EC_EXTRA_DATA
*d
;
594 for (d
= ex_data
; d
!= NULL
; d
= d
->next
)
596 if (d
->dup_func
== dup_func
&& d
->free_func
== free_func
&& d
->clear_free_func
== clear_free_func
)
603 /* this has 'package' visibility */
604 void EC_EX_DATA_free_data(EC_EXTRA_DATA
**ex_data
,
605 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
612 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
))
614 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
&& (*p
)->clear_free_func
== clear_free_func
)
616 EC_EXTRA_DATA
*next
= (*p
)->next
;
618 (*p
)->free_func((*p
)->data
);
627 /* this has 'package' visibility */
628 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA
**ex_data
,
629 void *(*dup_func
)(void *), void (*free_func
)(void *), void (*clear_free_func
)(void *))
636 for (p
= ex_data
; *p
!= NULL
; p
= &((*p
)->next
))
638 if ((*p
)->dup_func
== dup_func
&& (*p
)->free_func
== free_func
&& (*p
)->clear_free_func
== clear_free_func
)
640 EC_EXTRA_DATA
*next
= (*p
)->next
;
642 (*p
)->clear_free_func((*p
)->data
);
651 /* this has 'package' visibility */
652 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA
**ex_data
)
662 EC_EXTRA_DATA
*next
= d
->next
;
664 d
->free_func(d
->data
);
672 /* this has 'package' visibility */
673 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA
**ex_data
)
683 EC_EXTRA_DATA
*next
= d
->next
;
685 d
->clear_free_func(d
->data
);
694 /* functions for EC_POINT objects */
696 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
)
702 ECerr(EC_F_EC_POINT_NEW
, ERR_R_PASSED_NULL_PARAMETER
);
705 if (group
->meth
->point_init
== 0)
707 ECerr(EC_F_EC_POINT_NEW
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
711 ret
= OPENSSL_malloc(sizeof *ret
);
714 ECerr(EC_F_EC_POINT_NEW
, ERR_R_MALLOC_FAILURE
);
718 ret
->meth
= group
->meth
;
720 if (!ret
->meth
->point_init(ret
))
730 void EC_POINT_free(EC_POINT
*point
)
734 if (point
->meth
->point_finish
!= 0)
735 point
->meth
->point_finish(point
);
740 void EC_POINT_clear_free(EC_POINT
*point
)
744 if (point
->meth
->point_clear_finish
!= 0)
745 point
->meth
->point_clear_finish(point
);
746 else if (point
->meth
->point_finish
!= 0)
747 point
->meth
->point_finish(point
);
748 OPENSSL_cleanse(point
, sizeof *point
);
753 int EC_POINT_copy(EC_POINT
*dest
, const EC_POINT
*src
)
755 if (dest
->meth
->point_copy
== 0)
757 ECerr(EC_F_EC_POINT_COPY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
760 if (dest
->meth
!= src
->meth
)
762 ECerr(EC_F_EC_POINT_COPY
, EC_R_INCOMPATIBLE_OBJECTS
);
767 return dest
->meth
->point_copy(dest
, src
);
771 EC_POINT
*EC_POINT_dup(const EC_POINT
*a
, const EC_GROUP
*group
)
776 if (a
== NULL
) return NULL
;
778 t
= EC_POINT_new(group
);
779 if (t
== NULL
) return(NULL
);
780 r
= EC_POINT_copy(t
, a
);
790 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
)
796 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
)
798 if (group
->meth
->point_set_to_infinity
== 0)
800 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
803 if (group
->meth
!= point
->meth
)
805 ECerr(EC_F_EC_POINT_SET_TO_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
808 return group
->meth
->point_set_to_infinity(group
, point
);
812 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
, EC_POINT
*point
,
813 const BIGNUM
*x
, const BIGNUM
*y
, const BIGNUM
*z
, BN_CTX
*ctx
)
815 if (group
->meth
->point_set_Jprojective_coordinates_GFp
== 0)
817 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
820 if (group
->meth
!= point
->meth
)
822 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
825 return group
->meth
->point_set_Jprojective_coordinates_GFp(group
, point
, x
, y
, z
, ctx
);
829 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
, const EC_POINT
*point
,
830 BIGNUM
*x
, BIGNUM
*y
, BIGNUM
*z
, BN_CTX
*ctx
)
832 if (group
->meth
->point_get_Jprojective_coordinates_GFp
== 0)
834 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
837 if (group
->meth
!= point
->meth
)
839 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
842 return group
->meth
->point_get_Jprojective_coordinates_GFp(group
, point
, x
, y
, z
, ctx
);
846 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
, EC_POINT
*point
,
847 const BIGNUM
*x
, const BIGNUM
*y
, BN_CTX
*ctx
)
849 if (group
->meth
->point_set_affine_coordinates
== 0)
851 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
854 if (group
->meth
!= point
->meth
)
856 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
859 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
862 #ifndef OPENSSL_NO_EC2M
863 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
, EC_POINT
*point
,
864 const BIGNUM
*x
, const BIGNUM
*y
, BN_CTX
*ctx
)
866 if (group
->meth
->point_set_affine_coordinates
== 0)
868 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
871 if (group
->meth
!= point
->meth
)
873 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M
, EC_R_INCOMPATIBLE_OBJECTS
);
876 return group
->meth
->point_set_affine_coordinates(group
, point
, x
, y
, ctx
);
880 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
, const EC_POINT
*point
,
881 BIGNUM
*x
, BIGNUM
*y
, BN_CTX
*ctx
)
883 if (group
->meth
->point_get_affine_coordinates
== 0)
885 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
888 if (group
->meth
!= point
->meth
)
890 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP
, EC_R_INCOMPATIBLE_OBJECTS
);
893 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
896 #ifndef OPENSSL_NO_EC2M
897 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
, const EC_POINT
*point
,
898 BIGNUM
*x
, BIGNUM
*y
, BN_CTX
*ctx
)
900 if (group
->meth
->point_get_affine_coordinates
== 0)
902 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
905 if (group
->meth
!= point
->meth
)
907 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M
, EC_R_INCOMPATIBLE_OBJECTS
);
910 return group
->meth
->point_get_affine_coordinates(group
, point
, x
, y
, ctx
);
914 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
, const EC_POINT
*b
, BN_CTX
*ctx
)
916 if (group
->meth
->add
== 0)
918 ECerr(EC_F_EC_POINT_ADD
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
921 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
))
923 ECerr(EC_F_EC_POINT_ADD
, EC_R_INCOMPATIBLE_OBJECTS
);
926 return group
->meth
->add(group
, r
, a
, b
, ctx
);
930 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
, BN_CTX
*ctx
)
932 if (group
->meth
->dbl
== 0)
934 ECerr(EC_F_EC_POINT_DBL
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
937 if ((group
->meth
!= r
->meth
) || (r
->meth
!= a
->meth
))
939 ECerr(EC_F_EC_POINT_DBL
, EC_R_INCOMPATIBLE_OBJECTS
);
942 return group
->meth
->dbl(group
, r
, a
, ctx
);
946 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
)
948 if (group
->meth
->dbl
== 0)
950 ECerr(EC_F_EC_POINT_INVERT
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
953 if (group
->meth
!= a
->meth
)
955 ECerr(EC_F_EC_POINT_INVERT
, EC_R_INCOMPATIBLE_OBJECTS
);
958 return group
->meth
->invert(group
, a
, ctx
);
962 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*point
)
964 if (group
->meth
->is_at_infinity
== 0)
966 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
969 if (group
->meth
!= point
->meth
)
971 ECerr(EC_F_EC_POINT_IS_AT_INFINITY
, EC_R_INCOMPATIBLE_OBJECTS
);
974 return group
->meth
->is_at_infinity(group
, point
);
978 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
, BN_CTX
*ctx
)
980 if (group
->meth
->is_on_curve
== 0)
982 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
985 if (group
->meth
!= point
->meth
)
987 ECerr(EC_F_EC_POINT_IS_ON_CURVE
, EC_R_INCOMPATIBLE_OBJECTS
);
990 return group
->meth
->is_on_curve(group
, point
, ctx
);
994 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
, BN_CTX
*ctx
)
996 if (group
->meth
->point_cmp
== 0)
998 ECerr(EC_F_EC_POINT_CMP
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1001 if ((group
->meth
!= a
->meth
) || (a
->meth
!= b
->meth
))
1003 ECerr(EC_F_EC_POINT_CMP
, EC_R_INCOMPATIBLE_OBJECTS
);
1006 return group
->meth
->point_cmp(group
, a
, b
, ctx
);
1010 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
)
1012 if (group
->meth
->make_affine
== 0)
1014 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1017 if (group
->meth
!= point
->meth
)
1019 ECerr(EC_F_EC_POINT_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
1022 return group
->meth
->make_affine(group
, point
, ctx
);
1026 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
, EC_POINT
*points
[], BN_CTX
*ctx
)
1030 if (group
->meth
->points_make_affine
== 0)
1032 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED
);
1035 for (i
= 0; i
< num
; i
++)
1037 if (group
->meth
!= points
[i
]->meth
)
1039 ECerr(EC_F_EC_POINTS_MAKE_AFFINE
, EC_R_INCOMPATIBLE_OBJECTS
);
1043 return group
->meth
->points_make_affine(group
, num
, points
, ctx
);
1047 /* Functions for point multiplication.
1049 * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
1050 * otherwise we dispatch through methods.
1053 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*scalar
,
1054 size_t num
, const EC_POINT
*points
[], const BIGNUM
*scalars
[], BN_CTX
*ctx
)
1056 if (group
->meth
->mul
== 0)
1058 return ec_wNAF_mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1060 return group
->meth
->mul(group
, r
, scalar
, num
, points
, scalars
, ctx
);
1063 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*g_scalar
,
1064 const EC_POINT
*point
, const BIGNUM
*p_scalar
, BN_CTX
*ctx
)
1066 /* just a convenient interface to EC_POINTs_mul() */
1068 const EC_POINT
*points
[1];
1069 const BIGNUM
*scalars
[1];
1072 scalars
[0] = p_scalar
;
1074 return EC_POINTs_mul(group
, r
, g_scalar
, (point
!= NULL
&& p_scalar
!= NULL
), points
, scalars
, ctx
);
1077 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
)
1079 if (group
->meth
->mul
== 0)
1081 return ec_wNAF_precompute_mult(group
, ctx
);
1083 if (group
->meth
->precompute_mult
!= 0)
1084 return group
->meth
->precompute_mult(group
, ctx
);
1086 return 1; /* nothing to do, so report success */
1089 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
)
1091 if (group
->meth
->mul
== 0)
1093 return ec_wNAF_have_precompute_mult(group
);
1095 if (group
->meth
->have_precompute_mult
!= 0)
1096 return group
->meth
->have_precompute_mult(group
);
1098 return 0; /* cannot tell whether precomputation has been performed */