2 * Copyright 2001-2016 The OpenSSL Project Authors. All Rights Reserved.
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
10 /* ====================================================================
11 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
12 * Binary polynomial ECC support in OpenSSL originally developed by
13 * SUN MICROSYSTEMS, INC., and contributed to the OpenSSL project.
18 #include <openssl/err.h>
19 #include <openssl/opensslv.h>
23 /* functions for EC_GROUP objects */
25 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
30 ECerr(EC_F_EC_GROUP_NEW, EC_R_SLOT_FULL);
33 if (meth->group_init == 0) {
34 ECerr(EC_F_EC_GROUP_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
38 ret = OPENSSL_zalloc(sizeof(*ret));
40 ECerr(EC_F_EC_GROUP_NEW, ERR_R_MALLOC_FAILURE);
45 if ((ret->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
46 ret->order = BN_new();
47 if (ret->order == NULL)
49 ret->cofactor = BN_new();
50 if (ret->cofactor == NULL)
53 ret->asn1_flag = OPENSSL_EC_NAMED_CURVE;
54 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
55 if (!meth->group_init(ret))
61 BN_free(ret->cofactor);
66 void EC_pre_comp_free(EC_GROUP *group)
68 switch (group->pre_comp_type) {
71 #ifdef ECP_NISTZ256_REFERENCE_IMPLEMENTATION
73 EC_nistz256_pre_comp_free(group->pre_comp.nistz256);
76 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
78 EC_nistp224_pre_comp_free(group->pre_comp.nistp224);
81 EC_nistp256_pre_comp_free(group->pre_comp.nistp256);
84 EC_nistp521_pre_comp_free(group->pre_comp.nistp521);
88 EC_ec_pre_comp_free(group->pre_comp.ec);
91 group->pre_comp.ec = NULL;
94 void EC_GROUP_free(EC_GROUP *group)
99 if (group->meth->group_finish != 0)
100 group->meth->group_finish(group);
102 EC_pre_comp_free(group);
103 BN_MONT_CTX_free(group->mont_data);
104 EC_POINT_free(group->generator);
105 BN_free(group->order);
106 BN_free(group->cofactor);
107 OPENSSL_free(group->seed);
111 void EC_GROUP_clear_free(EC_GROUP *group)
116 if (group->meth->group_clear_finish != 0)
117 group->meth->group_clear_finish(group);
118 else if (group->meth->group_finish != 0)
119 group->meth->group_finish(group);
121 EC_pre_comp_free(group);
122 BN_MONT_CTX_free(group->mont_data);
123 EC_POINT_clear_free(group->generator);
124 BN_clear_free(group->order);
125 BN_clear_free(group->cofactor);
126 OPENSSL_clear_free(group->seed, group->seed_len);
127 OPENSSL_clear_free(group, sizeof(*group));
130 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
132 if (dest->meth->group_copy == 0) {
133 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
136 if (dest->meth != src->meth) {
137 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
143 /* Copy precomputed */
144 dest->pre_comp_type = src->pre_comp_type;
145 switch (src->pre_comp_type) {
147 dest->pre_comp.ec = NULL;
149 #ifdef ECP_NISTZ256_REFERENCE_IMPLEMENTATION
151 dest->pre_comp.nistz256 = EC_nistz256_pre_comp_dup(src->pre_comp.nistz256);
154 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
156 dest->pre_comp.nistp224 = EC_nistp224_pre_comp_dup(src->pre_comp.nistp224);
159 dest->pre_comp.nistp256 = EC_nistp256_pre_comp_dup(src->pre_comp.nistp256);
162 dest->pre_comp.nistp521 = EC_nistp521_pre_comp_dup(src->pre_comp.nistp521);
166 dest->pre_comp.ec = EC_ec_pre_comp_dup(src->pre_comp.ec);
170 if (src->mont_data != NULL) {
171 if (dest->mont_data == NULL) {
172 dest->mont_data = BN_MONT_CTX_new();
173 if (dest->mont_data == NULL)
176 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
179 /* src->generator == NULL */
180 BN_MONT_CTX_free(dest->mont_data);
181 dest->mont_data = NULL;
184 if (src->generator != NULL) {
185 if (dest->generator == NULL) {
186 dest->generator = EC_POINT_new(dest);
187 if (dest->generator == NULL)
190 if (!EC_POINT_copy(dest->generator, src->generator))
193 /* src->generator == NULL */
194 EC_POINT_clear_free(dest->generator);
195 dest->generator = NULL;
198 if ((src->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
199 if (!BN_copy(dest->order, src->order))
201 if (!BN_copy(dest->cofactor, src->cofactor))
205 dest->curve_name = src->curve_name;
206 dest->asn1_flag = src->asn1_flag;
207 dest->asn1_form = src->asn1_form;
210 OPENSSL_free(dest->seed);
211 dest->seed = OPENSSL_malloc(src->seed_len);
212 if (dest->seed == NULL)
214 if (!memcpy(dest->seed, src->seed, src->seed_len))
216 dest->seed_len = src->seed_len;
218 OPENSSL_free(dest->seed);
223 return dest->meth->group_copy(dest, src);
226 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
234 if ((t = EC_GROUP_new(a->meth)) == NULL)
236 if (!EC_GROUP_copy(t, a))
249 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
254 int EC_METHOD_get_field_type(const EC_METHOD *meth)
256 return meth->field_type;
259 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
260 const BIGNUM *order, const BIGNUM *cofactor)
262 if (generator == NULL) {
263 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
267 if (group->generator == NULL) {
268 group->generator = EC_POINT_new(group);
269 if (group->generator == NULL)
272 if (!EC_POINT_copy(group->generator, generator))
276 if (!BN_copy(group->order, order))
279 BN_zero(group->order);
281 if (cofactor != NULL) {
282 if (!BN_copy(group->cofactor, cofactor))
285 BN_zero(group->cofactor);
288 * Some groups have an order with
289 * factors of two, which makes the Montgomery setup fail.
290 * |group->mont_data| will be NULL in this case.
292 if (BN_is_odd(group->order)) {
293 return ec_precompute_mont_data(group);
296 BN_MONT_CTX_free(group->mont_data);
297 group->mont_data = NULL;
301 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
303 return group->generator;
306 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
308 return group->mont_data;
311 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
313 if (group->order == NULL)
315 if (!BN_copy(order, group->order))
318 return !BN_is_zero(order);
321 const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group)
326 int EC_GROUP_order_bits(const EC_GROUP *group)
328 OPENSSL_assert(group->meth->group_order_bits != NULL);
329 return group->meth->group_order_bits(group);
332 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
336 if (group->cofactor == NULL)
338 if (!BN_copy(cofactor, group->cofactor))
341 return !BN_is_zero(group->cofactor);
344 const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group)
346 return group->cofactor;
349 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
351 group->curve_name = nid;
354 int EC_GROUP_get_curve_name(const EC_GROUP *group)
356 return group->curve_name;
359 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
361 group->asn1_flag = flag;
364 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
366 return group->asn1_flag;
369 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
370 point_conversion_form_t form)
372 group->asn1_form = form;
375 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
378 return group->asn1_form;
381 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
383 OPENSSL_free(group->seed);
390 if ((group->seed = OPENSSL_malloc(len)) == NULL)
392 memcpy(group->seed, p, len);
393 group->seed_len = len;
398 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
403 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
405 return group->seed_len;
408 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
409 const BIGNUM *b, BN_CTX *ctx)
411 if (group->meth->group_set_curve == 0) {
412 ECerr(EC_F_EC_GROUP_SET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
415 return group->meth->group_set_curve(group, p, a, b, ctx);
418 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
419 BIGNUM *b, BN_CTX *ctx)
421 if (group->meth->group_get_curve == 0) {
422 ECerr(EC_F_EC_GROUP_GET_CURVE_GFP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
425 return group->meth->group_get_curve(group, p, a, b, ctx);
428 #ifndef OPENSSL_NO_EC2M
429 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
430 const BIGNUM *b, BN_CTX *ctx)
432 if (group->meth->group_set_curve == 0) {
433 ECerr(EC_F_EC_GROUP_SET_CURVE_GF2M,
434 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
437 return group->meth->group_set_curve(group, p, a, b, ctx);
440 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
441 BIGNUM *b, BN_CTX *ctx)
443 if (group->meth->group_get_curve == 0) {
444 ECerr(EC_F_EC_GROUP_GET_CURVE_GF2M,
445 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
448 return group->meth->group_get_curve(group, p, a, b, ctx);
452 int EC_GROUP_get_degree(const EC_GROUP *group)
454 if (group->meth->group_get_degree == 0) {
455 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
458 return group->meth->group_get_degree(group);
461 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
463 if (group->meth->group_check_discriminant == 0) {
464 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
465 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
468 return group->meth->group_check_discriminant(group, ctx);
471 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
474 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
475 BN_CTX *ctx_new = NULL;
477 /* compare the field types */
478 if (EC_METHOD_get_field_type(EC_GROUP_method_of(a)) !=
479 EC_METHOD_get_field_type(EC_GROUP_method_of(b)))
481 /* compare the curve name (if present in both) */
482 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
483 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
485 if (a->meth->flags & EC_FLAGS_CUSTOM_CURVE)
489 ctx_new = ctx = BN_CTX_new();
494 a1 = BN_CTX_get(ctx);
495 a2 = BN_CTX_get(ctx);
496 a3 = BN_CTX_get(ctx);
497 b1 = BN_CTX_get(ctx);
498 b2 = BN_CTX_get(ctx);
499 b3 = BN_CTX_get(ctx);
502 BN_CTX_free(ctx_new);
507 * XXX This approach assumes that the external representation of curves
508 * over the same field type is the same.
510 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
511 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
514 if (r || BN_cmp(a1, b1) || BN_cmp(a2, b2) || BN_cmp(a3, b3))
517 /* XXX EC_POINT_cmp() assumes that the methods are equal */
518 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
519 EC_GROUP_get0_generator(b), ctx))
523 const BIGNUM *ao, *bo, *ac, *bc;
524 /* compare the order and cofactor */
525 ao = EC_GROUP_get0_order(a);
526 bo = EC_GROUP_get0_order(b);
527 ac = EC_GROUP_get0_cofactor(a);
528 bc = EC_GROUP_get0_cofactor(b);
529 if (ao == NULL || bo == NULL) {
531 BN_CTX_free(ctx_new);
534 if (BN_cmp(ao, bo) || BN_cmp(ac, bc))
539 BN_CTX_free(ctx_new);
544 /* functions for EC_POINT objects */
546 EC_POINT *EC_POINT_new(const EC_GROUP *group)
551 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
554 if (group->meth->point_init == 0) {
555 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
559 ret = OPENSSL_zalloc(sizeof(*ret));
561 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
565 ret->meth = group->meth;
567 if (!ret->meth->point_init(ret)) {
575 void EC_POINT_free(EC_POINT *point)
580 if (point->meth->point_finish != 0)
581 point->meth->point_finish(point);
585 void EC_POINT_clear_free(EC_POINT *point)
590 if (point->meth->point_clear_finish != 0)
591 point->meth->point_clear_finish(point);
592 else if (point->meth->point_finish != 0)
593 point->meth->point_finish(point);
594 OPENSSL_clear_free(point, sizeof(*point));
597 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
599 if (dest->meth->point_copy == 0) {
600 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
603 if (dest->meth != src->meth) {
604 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
609 return dest->meth->point_copy(dest, src);
612 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
620 t = EC_POINT_new(group);
623 r = EC_POINT_copy(t, a);
631 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
636 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
638 if (group->meth->point_set_to_infinity == 0) {
639 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
640 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
643 if (group->meth != point->meth) {
644 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
647 return group->meth->point_set_to_infinity(group, point);
650 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
651 EC_POINT *point, const BIGNUM *x,
652 const BIGNUM *y, const BIGNUM *z,
655 if (group->meth->point_set_Jprojective_coordinates_GFp == 0) {
656 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
657 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
660 if (group->meth != point->meth) {
661 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
662 EC_R_INCOMPATIBLE_OBJECTS);
665 return group->meth->point_set_Jprojective_coordinates_GFp(group, point, x,
669 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
670 const EC_POINT *point, BIGNUM *x,
671 BIGNUM *y, BIGNUM *z,
674 if (group->meth->point_get_Jprojective_coordinates_GFp == 0) {
675 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
676 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
679 if (group->meth != point->meth) {
680 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
681 EC_R_INCOMPATIBLE_OBJECTS);
684 return group->meth->point_get_Jprojective_coordinates_GFp(group, point, x,
688 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
689 EC_POINT *point, const BIGNUM *x,
690 const BIGNUM *y, BN_CTX *ctx)
692 if (group->meth->point_set_affine_coordinates == 0) {
693 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
694 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
697 if (group->meth != point->meth) {
698 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
699 EC_R_INCOMPATIBLE_OBJECTS);
702 if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
705 if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
706 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP,
707 EC_R_POINT_IS_NOT_ON_CURVE);
713 #ifndef OPENSSL_NO_EC2M
714 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
715 EC_POINT *point, const BIGNUM *x,
716 const BIGNUM *y, BN_CTX *ctx)
718 if (group->meth->point_set_affine_coordinates == 0) {
719 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
720 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
723 if (group->meth != point->meth) {
724 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
725 EC_R_INCOMPATIBLE_OBJECTS);
728 if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
731 if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
732 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M,
733 EC_R_POINT_IS_NOT_ON_CURVE);
740 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
741 const EC_POINT *point, BIGNUM *x,
742 BIGNUM *y, BN_CTX *ctx)
744 if (group->meth->point_get_affine_coordinates == 0) {
745 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
746 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
749 if (group->meth != point->meth) {
750 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP,
751 EC_R_INCOMPATIBLE_OBJECTS);
754 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
757 #ifndef OPENSSL_NO_EC2M
758 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
759 const EC_POINT *point, BIGNUM *x,
760 BIGNUM *y, BN_CTX *ctx)
762 if (group->meth->point_get_affine_coordinates == 0) {
763 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
764 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
767 if (group->meth != point->meth) {
768 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M,
769 EC_R_INCOMPATIBLE_OBJECTS);
772 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
776 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
777 const EC_POINT *b, BN_CTX *ctx)
779 if (group->meth->add == 0) {
780 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
783 if ((group->meth != r->meth) || (r->meth != a->meth)
784 || (a->meth != b->meth)) {
785 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
788 return group->meth->add(group, r, a, b, ctx);
791 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
794 if (group->meth->dbl == 0) {
795 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
798 if ((group->meth != r->meth) || (r->meth != a->meth)) {
799 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
802 return group->meth->dbl(group, r, a, ctx);
805 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
807 if (group->meth->invert == 0) {
808 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
811 if (group->meth != a->meth) {
812 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
815 return group->meth->invert(group, a, ctx);
818 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
820 if (group->meth->is_at_infinity == 0) {
821 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
822 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
825 if (group->meth != point->meth) {
826 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
829 return group->meth->is_at_infinity(group, point);
833 * Check whether an EC_POINT is on the curve or not. Note that the return
834 * value for this function should NOT be treated as a boolean. Return values:
835 * 1: The point is on the curve
836 * 0: The point is not on the curve
837 * -1: An error occurred
839 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
842 if (group->meth->is_on_curve == 0) {
843 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
846 if (group->meth != point->meth) {
847 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
850 return group->meth->is_on_curve(group, point, ctx);
853 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
856 if (group->meth->point_cmp == 0) {
857 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
860 if ((group->meth != a->meth) || (a->meth != b->meth)) {
861 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
864 return group->meth->point_cmp(group, a, b, ctx);
867 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
869 if (group->meth->make_affine == 0) {
870 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
873 if (group->meth != point->meth) {
874 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
877 return group->meth->make_affine(group, point, ctx);
880 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
881 EC_POINT *points[], BN_CTX *ctx)
885 if (group->meth->points_make_affine == 0) {
886 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
889 for (i = 0; i < num; i++) {
890 if (group->meth != points[i]->meth) {
891 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
895 return group->meth->points_make_affine(group, num, points, ctx);
899 * Functions for point multiplication. If group->meth->mul is 0, we use the
900 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
904 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
905 size_t num, const EC_POINT *points[],
906 const BIGNUM *scalars[], BN_CTX *ctx)
908 if (group->meth->mul == 0)
910 return ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
912 return group->meth->mul(group, r, scalar, num, points, scalars, ctx);
915 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
916 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
918 /* just a convenient interface to EC_POINTs_mul() */
920 const EC_POINT *points[1];
921 const BIGNUM *scalars[1];
924 scalars[0] = p_scalar;
926 return EC_POINTs_mul(group, r, g_scalar,
928 && p_scalar != NULL), points, scalars, ctx);
931 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
933 if (group->meth->mul == 0)
935 return ec_wNAF_precompute_mult(group, ctx);
937 if (group->meth->precompute_mult != 0)
938 return group->meth->precompute_mult(group, ctx);
940 return 1; /* nothing to do, so report success */
943 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
945 if (group->meth->mul == 0)
947 return ec_wNAF_have_precompute_mult(group);
949 if (group->meth->have_precompute_mult != 0)
950 return group->meth->have_precompute_mult(group);
952 return 0; /* cannot tell whether precomputation has
957 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
958 * returns one on success. On error it returns zero.
960 int ec_precompute_mont_data(EC_GROUP *group)
962 BN_CTX *ctx = BN_CTX_new();
965 BN_MONT_CTX_free(group->mont_data);
966 group->mont_data = NULL;
971 group->mont_data = BN_MONT_CTX_new();
972 if (group->mont_data == NULL)
975 if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
976 BN_MONT_CTX_free(group->mont_data);
977 group->mont_data = NULL;
989 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg)
991 return CRYPTO_set_ex_data(&key->ex_data, idx, arg);
994 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx)
996 return CRYPTO_get_ex_data(&key->ex_data, idx);
999 int ec_group_simple_order_bits(const EC_GROUP *group)
1001 if (group->order == NULL)
1003 return BN_num_bits(group->order);