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>
73 static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
76 /* functions for EC_GROUP objects */
78 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)
89 ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
93 ret = OPENSSL_malloc(sizeof *ret);
96 ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
102 ret->extra_data = NULL;
103 ret->mont_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->mont_data)
136 BN_MONT_CTX_free(group->mont_data);
138 if (group->generator != NULL)
139 EC_POINT_free(group->generator);
140 BN_free(&group->order);
141 BN_free(&group->cofactor);
144 OPENSSL_free(group->seed);
150 void EC_GROUP_clear_free(EC_GROUP *group)
154 if (group->meth->group_clear_finish != 0)
155 group->meth->group_clear_finish(group);
156 else if (group->meth->group_finish != 0)
157 group->meth->group_finish(group);
159 EC_EX_DATA_clear_free_all_data(&group->extra_data);
161 if (group->mont_data)
162 BN_MONT_CTX_free(group->mont_data);
164 if (group->generator != NULL)
165 EC_POINT_clear_free(group->generator);
166 BN_clear_free(&group->order);
167 BN_clear_free(&group->cofactor);
171 OPENSSL_cleanse(group->seed, group->seed_len);
172 OPENSSL_free(group->seed);
175 OPENSSL_cleanse(group, sizeof *group);
180 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
184 if (dest->meth->group_copy == 0)
186 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
189 if (dest->meth != src->meth)
191 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
197 EC_EX_DATA_free_all_data(&dest->extra_data);
199 for (d = src->extra_data; d != NULL; d = d->next)
201 void *t = d->dup_func(d->data);
205 if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func, d->free_func, d->clear_free_func))
209 if (src->mont_data != NULL)
211 if (dest->mont_data == NULL)
213 dest->mont_data = BN_MONT_CTX_new();
214 if (dest->mont_data == NULL) return 0;
216 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data)) return 0;
220 /* src->generator == NULL */
221 if (dest->mont_data != NULL)
223 BN_MONT_CTX_free(dest->mont_data);
224 dest->mont_data = NULL;
228 if (src->generator != NULL)
230 if (dest->generator == NULL)
232 dest->generator = EC_POINT_new(dest);
233 if (dest->generator == NULL) return 0;
235 if (!EC_POINT_copy(dest->generator, src->generator)) return 0;
239 /* src->generator == NULL */
240 if (dest->generator != NULL)
242 EC_POINT_clear_free(dest->generator);
243 dest->generator = NULL;
247 if (!BN_copy(&dest->order, &src->order)) return 0;
248 if (!BN_copy(&dest->cofactor, &src->cofactor)) return 0;
250 dest->curve_name = src->curve_name;
251 dest->asn1_flag = src->asn1_flag;
252 dest->asn1_form = src->asn1_form;
257 OPENSSL_free(dest->seed);
258 dest->seed = OPENSSL_malloc(src->seed_len);
259 if (dest->seed == NULL)
261 if (!memcpy(dest->seed, src->seed, src->seed_len))
263 dest->seed_len = src->seed_len;
268 OPENSSL_free(dest->seed);
274 return dest->meth->group_copy(dest, src);
278 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
283 if (a == NULL) return NULL;
285 if ((t = EC_GROUP_new(a->meth)) == NULL) return(NULL);
286 if (!EC_GROUP_copy(t, a)) goto err;
293 if (t) EC_GROUP_free(t);
300 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
306 int EC_METHOD_get_field_type(const EC_METHOD *meth)
308 return meth->field_type;
312 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
314 if (generator == NULL)
316 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
320 if (group->generator == NULL)
322 group->generator = EC_POINT_new(group);
323 if (group->generator == NULL) return 0;
325 if (!EC_POINT_copy(group->generator, generator)) return 0;
328 { if (!BN_copy(&group->order, order)) return 0; }
330 BN_zero(&group->order);
332 if (cofactor != NULL)
333 { if (!BN_copy(&group->cofactor, cofactor)) return 0; }
335 BN_zero(&group->cofactor);
337 /* We ignore the return value because some groups have an order with
338 * factors of two, which makes the Montgomery setup fail.
339 * |group->mont_data| will be NULL in this case. */
340 ec_precompute_mont_data(group);
346 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
348 return group->generator;
351 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
353 return group->mont_data;
356 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
358 if (!BN_copy(order, &group->order))
361 return !BN_is_zero(order);
365 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
367 if (!BN_copy(cofactor, &group->cofactor))
370 return !BN_is_zero(&group->cofactor);
374 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
376 group->curve_name = nid;
380 int EC_GROUP_get_curve_name(const EC_GROUP *group)
382 return group->curve_name;
386 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
388 group->asn1_flag = flag;
392 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
394 return group->asn1_flag;
398 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
399 point_conversion_form_t form)
401 group->asn1_form = form;
405 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *group)
407 return group->asn1_form;
411 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
415 OPENSSL_free(group->seed);
423 if ((group->seed = OPENSSL_malloc(len)) == NULL)
425 memcpy(group->seed, p, len);
426 group->seed_len = len;
432 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
438 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
440 return group->seed_len;
444 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
446 if (group->meth->group_set_curve == 0)
448 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
451 return group->meth->group_set_curve(group, p, a, b, ctx);
455 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
457 if (group->meth->group_get_curve == 0)
459 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
462 return group->meth->group_get_curve(group, p, a, b, ctx);
465 #ifndef OPENSSL_NO_EC2M
466 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
468 if (group->meth->group_set_curve == 0)
470 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
473 return group->meth->group_set_curve(group, p, a, b, ctx);
477 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
479 if (group->meth->group_get_curve == 0)
481 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
484 return group->meth->group_get_curve(group, p, a, b, ctx);
488 int EC_GROUP_get_degree(const EC_GROUP *group)
490 if (group->meth->group_get_degree == 0)
492 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
495 return group->meth->group_get_degree(group);
499 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
501 if (group->meth->group_check_discriminant == 0)
503 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
506 return group->meth->group_check_discriminant(group, ctx);
510 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
513 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
514 BN_CTX *ctx_new = NULL;
516 /* compare the field types*/
517 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
518 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
520 /* compare the curve name (if present in both) */
521 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
522 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
526 ctx_new = ctx = BN_CTX_new();
531 a1 = BN_CTX_get(ctx);
532 a2 = BN_CTX_get(ctx);
533 a3 = BN_CTX_get(ctx);
534 b1 = BN_CTX_get(ctx);
535 b2 = BN_CTX_get(ctx);
536 b3 = BN_CTX_get(ctx);
545 /* XXX This approach assumes that the external representation
546 * of curves over the same field type is the same.
548 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
549 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
552 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
555 /* XXX EC_POINT_cmp() assumes that the methods are equal */
556 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
557 EC_GROUP_get0_generator(b), ctx))
562 /* compare the order and cofactor */
563 if (!EC_GROUP_get_order(a, a1, ctx) ||
564 !EC_GROUP_get_order(b, b1, ctx) ||
565 !EC_GROUP_get_cofactor(a, a2, ctx) ||
566 !EC_GROUP_get_cofactor(b, b2, ctx))
573 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
585 /* this has 'package' visibility */
586 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
587 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
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)
598 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
604 /* no explicit entry needed */
607 d = OPENSSL_malloc(sizeof *d);
612 d->dup_func = dup_func;
613 d->free_func = free_func;
614 d->clear_free_func = clear_free_func;
622 /* this has 'package' visibility */
623 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
624 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
626 const EC_EXTRA_DATA *d;
628 for (d = ex_data; d != NULL; d = d->next)
630 if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
637 /* this has 'package' visibility */
638 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
639 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
646 for (p = ex_data; *p != NULL; p = &((*p)->next))
648 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
650 EC_EXTRA_DATA *next = (*p)->next;
652 (*p)->free_func((*p)->data);
661 /* this has 'package' visibility */
662 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
663 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
670 for (p = ex_data; *p != NULL; p = &((*p)->next))
672 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
674 EC_EXTRA_DATA *next = (*p)->next;
676 (*p)->clear_free_func((*p)->data);
685 /* this has 'package' visibility */
686 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
696 EC_EXTRA_DATA *next = d->next;
698 d->free_func(d->data);
706 /* this has 'package' visibility */
707 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
717 EC_EXTRA_DATA *next = d->next;
719 d->clear_free_func(d->data);
728 /* functions for EC_POINT objects */
730 EC_POINT *EC_POINT_new(const EC_GROUP *group)
736 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
739 if (group->meth->point_init == 0)
741 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
745 ret = OPENSSL_malloc(sizeof *ret);
748 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
752 ret->meth = group->meth;
754 if (!ret->meth->point_init(ret))
764 void EC_POINT_free(EC_POINT *point)
768 if (point->meth->point_finish != 0)
769 point->meth->point_finish(point);
774 void EC_POINT_clear_free(EC_POINT *point)
778 if (point->meth->point_clear_finish != 0)
779 point->meth->point_clear_finish(point);
780 else if (point->meth->point_finish != 0)
781 point->meth->point_finish(point);
782 OPENSSL_cleanse(point, sizeof *point);
787 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
789 if (dest->meth->point_copy == 0)
791 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
794 if (dest->meth != src->meth)
796 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
801 return dest->meth->point_copy(dest, src);
805 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
810 if (a == NULL) return NULL;
812 t = EC_POINT_new(group);
813 if (t == NULL) return(NULL);
814 r = EC_POINT_copy(t, a);
824 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
830 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
832 if (group->meth->point_set_to_infinity == 0)
834 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
837 if (group->meth != point->meth)
839 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
842 return group->meth->point_set_to_infinity(group, point);
846 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
847 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
849 if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
851 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
854 if (group->meth != point->meth)
856 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
859 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
863 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
864 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
866 if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
868 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
871 if (group->meth != point->meth)
873 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
876 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
880 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
881 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
883 if (group->meth->point_set_affine_coordinates == 0)
885 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
888 if (group->meth != point->meth)
890 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
893 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
896 #ifndef OPENSSL_NO_EC2M
897 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
898 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
900 if (group->meth->point_set_affine_coordinates == 0)
902 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
905 if (group->meth != point->meth)
907 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
910 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
914 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
915 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
917 if (group->meth->point_get_affine_coordinates == 0)
919 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
922 if (group->meth != point->meth)
924 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, 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, const EC_POINT *point,
932 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
934 if (group->meth->point_get_affine_coordinates == 0)
936 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
939 if (group->meth != point->meth)
941 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
944 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
948 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
950 if (group->meth->add == 0)
952 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
955 if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
957 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
960 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, BN_CTX *ctx)
966 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))
973 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
976 return group->meth->dbl(group, r, a, ctx);
980 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
982 if (group->meth->invert == 0)
984 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
987 if (group->meth != a->meth)
989 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
992 return group->meth->invert(group, a, ctx);
996 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
998 if (group->meth->is_at_infinity == 0)
1000 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1003 if (group->meth != point->meth)
1005 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
1008 return group->meth->is_at_infinity(group, point);
1012 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
1014 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)
1021 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
1024 return group->meth->is_on_curve(group, point, ctx);
1028 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
1030 if (group->meth->point_cmp == 0)
1032 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1035 if ((group->meth != a->meth) || (a->meth != b->meth))
1037 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
1040 return group->meth->point_cmp(group, a, b, ctx);
1044 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
1046 if (group->meth->make_affine == 0)
1048 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1051 if (group->meth != point->meth)
1053 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1056 return group->meth->make_affine(group, point, ctx);
1060 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
1064 if (group->meth->points_make_affine == 0)
1066 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1069 for (i = 0; i < num; i++)
1071 if (group->meth != points[i]->meth)
1073 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1077 return group->meth->points_make_affine(group, num, points, ctx);
1081 /* Functions for point multiplication.
1083 * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
1084 * otherwise we dispatch through methods.
1087 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1088 size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
1090 if (group->meth->mul == 0)
1092 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1094 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1097 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1098 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1100 /* just a convenient interface to EC_POINTs_mul() */
1102 const EC_POINT *points[1];
1103 const BIGNUM *scalars[1];
1106 scalars[0] = p_scalar;
1108 return EC_POINTs_mul(group, r, g_scalar, (point != NULL && p_scalar != NULL), points, scalars, ctx);
1111 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1113 if (group->meth->mul == 0)
1115 return ec_wNAF_precompute_mult(group, ctx);
1117 if (group->meth->precompute_mult != 0)
1118 return group->meth->precompute_mult(group, ctx);
1120 return 1; /* nothing to do, so report success */
1123 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1125 if (group->meth->mul == 0)
1127 return ec_wNAF_have_precompute_mult(group);
1129 if (group->meth->have_precompute_mult != 0)
1130 return group->meth->have_precompute_mult(group);
1132 return 0; /* cannot tell whether precomputation has been performed */
1135 /* ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1136 * returns one on success. On error it returns zero. */
1137 int ec_precompute_mont_data(EC_GROUP *group)
1139 BN_CTX *ctx = BN_CTX_new();
1142 if (group->mont_data)
1144 BN_MONT_CTX_free(group->mont_data);
1145 group->mont_data = NULL;
1151 group->mont_data = BN_MONT_CTX_new();
1152 if (!group->mont_data)
1155 if (!BN_MONT_CTX_set(group->mont_data, &group->order, ctx))
1157 BN_MONT_CTX_free(group->mont_data);
1158 group->mont_data = NULL;