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 static const char EC_version[] = "EC" OPENSSL_VERSION_PTEXT;
74 /* functions for EC_GROUP objects */
76 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
82 ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
85 if (meth->group_init == 0)
87 ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
91 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);
109 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
114 if (!meth->group_init(ret))
124 void EC_GROUP_free(EC_GROUP *group)
128 if (group->meth->group_finish != 0)
129 group->meth->group_finish(group);
131 EC_EX_DATA_free_all_data(&group->extra_data);
133 if (group->mont_data)
134 BN_MONT_CTX_free(group->mont_data);
136 if (group->generator != NULL)
137 EC_POINT_free(group->generator);
138 BN_free(&group->order);
139 BN_free(&group->cofactor);
142 OPENSSL_free(group->seed);
148 void EC_GROUP_clear_free(EC_GROUP *group)
152 if (group->meth->group_clear_finish != 0)
153 group->meth->group_clear_finish(group);
154 else if (group->meth->group_finish != 0)
155 group->meth->group_finish(group);
157 EC_EX_DATA_clear_free_all_data(&group->extra_data);
159 if (group->mont_data)
160 BN_MONT_CTX_free(group->mont_data);
162 if (group->generator != NULL)
163 EC_POINT_clear_free(group->generator);
164 BN_clear_free(&group->order);
165 BN_clear_free(&group->cofactor);
169 OPENSSL_cleanse(group->seed, group->seed_len);
170 OPENSSL_free(group->seed);
173 OPENSSL_cleanse(group, sizeof *group);
178 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
182 if (dest->meth->group_copy == 0)
184 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
187 if (dest->meth != src->meth)
189 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
195 EC_EX_DATA_free_all_data(&dest->extra_data);
197 for (d = src->extra_data; d != NULL; d = d->next)
199 void *t = d->dup_func(d->data);
203 if (!EC_EX_DATA_set_data(&dest->extra_data, t, d->dup_func, d->free_func, d->clear_free_func))
207 if (src->mont_data != NULL)
209 if (dest->mont_data == NULL)
211 dest->mont_data = BN_MONT_CTX_new();
212 if (dest->mont_data == NULL) return 0;
214 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data)) return 0;
218 /* src->generator == NULL */
219 if (dest->mont_data != NULL)
221 BN_MONT_CTX_free(dest->mont_data);
222 dest->mont_data = NULL;
226 if (src->generator != NULL)
228 if (dest->generator == NULL)
230 dest->generator = EC_POINT_new(dest);
231 if (dest->generator == NULL) return 0;
233 if (!EC_POINT_copy(dest->generator, src->generator)) return 0;
237 /* src->generator == NULL */
238 if (dest->generator != NULL)
240 EC_POINT_clear_free(dest->generator);
241 dest->generator = NULL;
245 if (!BN_copy(&dest->order, &src->order)) return 0;
246 if (!BN_copy(&dest->cofactor, &src->cofactor)) return 0;
248 dest->curve_name = src->curve_name;
249 dest->asn1_flag = src->asn1_flag;
250 dest->asn1_form = src->asn1_form;
255 OPENSSL_free(dest->seed);
256 dest->seed = OPENSSL_malloc(src->seed_len);
257 if (dest->seed == NULL)
259 if (!memcpy(dest->seed, src->seed, src->seed_len))
261 dest->seed_len = src->seed_len;
266 OPENSSL_free(dest->seed);
272 return dest->meth->group_copy(dest, src);
276 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
281 if (a == NULL) return NULL;
283 if ((t = EC_GROUP_new(a->meth)) == NULL) return(NULL);
284 if (!EC_GROUP_copy(t, a)) goto err;
291 if (t) EC_GROUP_free(t);
298 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
304 int EC_METHOD_get_field_type(const EC_METHOD *meth)
306 return meth->field_type;
310 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor)
312 if (generator == NULL)
314 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
318 if (group->generator == NULL)
320 group->generator = EC_POINT_new(group);
321 if (group->generator == NULL) return 0;
323 if (!EC_POINT_copy(group->generator, generator)) return 0;
326 { if (!BN_copy(&group->order, order)) return 0; }
328 BN_zero(&group->order);
330 if (cofactor != NULL)
331 { if (!BN_copy(&group->cofactor, cofactor)) return 0; }
333 BN_zero(&group->cofactor);
335 /* We ignore the return value because some groups have an order with
336 * factors of two, which makes the Montgomery setup fail.
337 * |group->mont_data| will be NULL in this case. */
338 ec_precompute_mont_data(group);
344 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
346 return group->generator;
349 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
351 return group->mont_data;
354 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
356 if (!BN_copy(order, &group->order))
359 return !BN_is_zero(order);
363 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx)
365 if (!BN_copy(cofactor, &group->cofactor))
368 return !BN_is_zero(&group->cofactor);
372 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
374 group->curve_name = nid;
378 int EC_GROUP_get_curve_name(const EC_GROUP *group)
380 return group->curve_name;
384 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
386 group->asn1_flag = flag;
390 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
392 return group->asn1_flag;
396 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
397 point_conversion_form_t form)
399 group->asn1_form = form;
403 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *group)
405 return group->asn1_form;
409 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
413 OPENSSL_free(group->seed);
421 if ((group->seed = OPENSSL_malloc(len)) == NULL)
423 memcpy(group->seed, p, len);
424 group->seed_len = len;
430 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
436 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
438 return group->seed_len;
442 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
444 if (group->meth->group_set_curve == 0)
446 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
449 return group->meth->group_set_curve(group, p, a, b, ctx);
453 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
455 if (group->meth->group_get_curve == 0)
457 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
460 return group->meth->group_get_curve(group, p, a, b, ctx);
463 #ifndef OPENSSL_NO_EC2M
464 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx)
466 if (group->meth->group_set_curve == 0)
468 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
471 return group->meth->group_set_curve(group, p, a, b, ctx);
475 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx)
477 if (group->meth->group_get_curve == 0)
479 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
482 return group->meth->group_get_curve(group, p, a, b, ctx);
486 int EC_GROUP_get_degree(const EC_GROUP *group)
488 if (group->meth->group_get_degree == 0)
490 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
493 return group->meth->group_get_degree(group);
497 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
499 if (group->meth->group_check_discriminant == 0)
501 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
504 return group->meth->group_check_discriminant(group, ctx);
508 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
511 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
512 BN_CTX *ctx_new = NULL;
514 /* compare the field types*/
515 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
516 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
518 /* compare the curve name (if present in both) */
519 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
520 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
524 ctx_new = ctx = BN_CTX_new();
529 a1 = BN_CTX_get(ctx);
530 a2 = BN_CTX_get(ctx);
531 a3 = BN_CTX_get(ctx);
532 b1 = BN_CTX_get(ctx);
533 b2 = BN_CTX_get(ctx);
534 b3 = BN_CTX_get(ctx);
543 /* XXX This approach assumes that the external representation
544 * of curves over the same field type is the same.
546 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
547 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
550 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
553 /* XXX EC_POINT_cmp() assumes that the methods are equal */
554 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
555 EC_GROUP_get0_generator(b), ctx))
560 /* compare the order and cofactor */
561 if (!EC_GROUP_get_order(a, a1, ctx) ||
562 !EC_GROUP_get_order(b, b1, ctx) ||
563 !EC_GROUP_get_cofactor(a, a2, ctx) ||
564 !EC_GROUP_get_cofactor(b, b2, ctx))
571 if (BN_cmp(a1, b1) || BN_cmp(a2, b2))
583 /* this has 'package' visibility */
584 int EC_EX_DATA_set_data(EC_EXTRA_DATA **ex_data, void *data,
585 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
592 for (d = *ex_data; d != NULL; d = d->next)
594 if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
596 ECerr(EC_F_EC_EX_DATA_SET_DATA, EC_R_SLOT_FULL);
602 /* no explicit entry needed */
605 d = OPENSSL_malloc(sizeof *d);
610 d->dup_func = dup_func;
611 d->free_func = free_func;
612 d->clear_free_func = clear_free_func;
620 /* this has 'package' visibility */
621 void *EC_EX_DATA_get_data(const EC_EXTRA_DATA *ex_data,
622 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
624 const EC_EXTRA_DATA *d;
626 for (d = ex_data; d != NULL; d = d->next)
628 if (d->dup_func == dup_func && d->free_func == free_func && d->clear_free_func == clear_free_func)
635 /* this has 'package' visibility */
636 void EC_EX_DATA_free_data(EC_EXTRA_DATA **ex_data,
637 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
644 for (p = ex_data; *p != NULL; p = &((*p)->next))
646 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
648 EC_EXTRA_DATA *next = (*p)->next;
650 (*p)->free_func((*p)->data);
659 /* this has 'package' visibility */
660 void EC_EX_DATA_clear_free_data(EC_EXTRA_DATA **ex_data,
661 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *))
668 for (p = ex_data; *p != NULL; p = &((*p)->next))
670 if ((*p)->dup_func == dup_func && (*p)->free_func == free_func && (*p)->clear_free_func == clear_free_func)
672 EC_EXTRA_DATA *next = (*p)->next;
674 (*p)->clear_free_func((*p)->data);
683 /* this has 'package' visibility */
684 void EC_EX_DATA_free_all_data(EC_EXTRA_DATA **ex_data)
694 EC_EXTRA_DATA *next = d->next;
696 d->free_func(d->data);
704 /* this has 'package' visibility */
705 void EC_EX_DATA_clear_free_all_data(EC_EXTRA_DATA **ex_data)
715 EC_EXTRA_DATA *next = d->next;
717 d->clear_free_func(d->data);
726 /* functions for EC_POINT objects */
728 EC_POINT *EC_POINT_new(const EC_GROUP *group)
734 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
737 if (group->meth->point_init == 0)
739 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
743 ret = OPENSSL_malloc(sizeof *ret);
746 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
750 ret->meth = group->meth;
752 if (!ret->meth->point_init(ret))
762 void EC_POINT_free(EC_POINT *point)
766 if (point->meth->point_finish != 0)
767 point->meth->point_finish(point);
772 void EC_POINT_clear_free(EC_POINT *point)
776 if (point->meth->point_clear_finish != 0)
777 point->meth->point_clear_finish(point);
778 else if (point->meth->point_finish != 0)
779 point->meth->point_finish(point);
780 OPENSSL_cleanse(point, sizeof *point);
785 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
787 if (dest->meth->point_copy == 0)
789 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
792 if (dest->meth != src->meth)
794 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
799 return dest->meth->point_copy(dest, src);
803 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
808 if (a == NULL) return NULL;
810 t = EC_POINT_new(group);
811 if (t == NULL) return(NULL);
812 r = EC_POINT_copy(t, a);
822 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
828 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
830 if (group->meth->point_set_to_infinity == 0)
832 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
835 if (group->meth != point->meth)
837 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
840 return group->meth->point_set_to_infinity(group, point);
844 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
845 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx)
847 if (group->meth->point_set_Jprojective_coordinates_GFp == 0)
849 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
852 if (group->meth != point->meth)
854 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
857 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
861 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
862 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx)
864 if (group->meth->point_get_Jprojective_coordinates_GFp == 0)
866 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
869 if (group->meth != point->meth)
871 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
874 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
878 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *point,
879 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
881 if (group->meth->point_set_affine_coordinates == 0)
883 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
886 if (group->meth != point->meth)
888 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
891 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
894 #ifndef OPENSSL_NO_EC2M
895 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *point,
896 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx)
898 if (group->meth->point_set_affine_coordinates == 0)
900 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
903 if (group->meth != point->meth)
905 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
908 return group->meth->point_set_affine_coordinates(group, point, x, y, ctx);
912 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, const EC_POINT *point,
913 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
915 if (group->meth->point_get_affine_coordinates == 0)
917 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
920 if (group->meth != point->meth)
922 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP, EC_R_INCOMPATIBLE_OBJECTS);
925 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
928 #ifndef OPENSSL_NO_EC2M
929 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, const EC_POINT *point,
930 BIGNUM *x, BIGNUM *y, BN_CTX *ctx)
932 if (group->meth->point_get_affine_coordinates == 0)
934 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
937 if (group->meth != point->meth)
939 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M, EC_R_INCOMPATIBLE_OBJECTS);
942 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
946 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx)
948 if (group->meth->add == 0)
950 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
953 if ((group->meth != r->meth) || (r->meth != a->meth) || (a->meth != b->meth))
955 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
958 return group->meth->add(group, r, a, b, ctx);
962 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx)
964 if (group->meth->dbl == 0)
966 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
969 if ((group->meth != r->meth) || (r->meth != a->meth))
971 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
974 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)
982 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
985 if (group->meth != a->meth)
987 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
990 return group->meth->invert(group, a, ctx);
994 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
996 if (group->meth->is_at_infinity == 0)
998 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1001 if (group->meth != point->meth)
1003 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
1006 return group->meth->is_at_infinity(group, point);
1010 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx)
1012 if (group->meth->is_on_curve == 0)
1014 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1017 if (group->meth != point->meth)
1019 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
1022 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, BN_CTX *ctx)
1028 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))
1035 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
1038 return group->meth->point_cmp(group, a, b, ctx);
1042 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
1044 if (group->meth->make_affine == 0)
1046 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1049 if (group->meth != point->meth)
1051 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1054 return group->meth->make_affine(group, point, ctx);
1058 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx)
1062 if (group->meth->points_make_affine == 0)
1064 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1067 for (i = 0; i < num; i++)
1069 if (group->meth != points[i]->meth)
1071 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1075 return group->meth->points_make_affine(group, num, points, ctx);
1079 /* Functions for point multiplication.
1081 * If group->meth->mul is 0, we use the wNAF-based implementations in ec_mult.c;
1082 * otherwise we dispatch through methods.
1085 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1086 size_t num, const EC_POINT *points[], const BIGNUM *scalars[], BN_CTX *ctx)
1088 if (group->meth->mul == 0)
1090 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1092 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1095 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1096 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1098 /* just a convenient interface to EC_POINTs_mul() */
1100 const EC_POINT *points[1];
1101 const BIGNUM *scalars[1];
1104 scalars[0] = p_scalar;
1106 return EC_POINTs_mul(group, r, g_scalar, (point != NULL && p_scalar != NULL), points, scalars, ctx);
1109 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1111 if (group->meth->mul == 0)
1113 return ec_wNAF_precompute_mult(group, ctx);
1115 if (group->meth->precompute_mult != 0)
1116 return group->meth->precompute_mult(group, ctx);
1118 return 1; /* nothing to do, so report success */
1121 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1123 if (group->meth->mul == 0)
1125 return ec_wNAF_have_precompute_mult(group);
1127 if (group->meth->have_precompute_mult != 0)
1128 return group->meth->have_precompute_mult(group);
1130 return 0; /* cannot tell whether precomputation has been performed */
1133 /* ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1134 * returns one on success. On error it returns zero. */
1135 int ec_precompute_mont_data(EC_GROUP *group)
1137 BN_CTX *ctx = BN_CTX_new();
1140 if (group->mont_data)
1142 BN_MONT_CTX_free(group->mont_data);
1143 group->mont_data = NULL;
1149 group->mont_data = BN_MONT_CTX_new();
1150 if (!group->mont_data)
1153 if (!BN_MONT_CTX_set(group->mont_data, &group->order, ctx))
1155 BN_MONT_CTX_free(group->mont_data);
1156 group->mont_data = NULL;