2 * Copyright 2001-2020 The OpenSSL Project Authors. All Rights Reserved.
3 * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
5 * Licensed under the Apache License 2.0 (the "License"). You may not use
6 * this file except in compliance with the License. You can obtain a copy
7 * in the file LICENSE in the source distribution or at
8 * https://www.openssl.org/source/license.html
12 * ECDSA low level APIs are deprecated for public use, but still ok for
15 #include "internal/deprecated.h"
18 #include <openssl/params.h>
19 #include <openssl/core_names.h>
20 #include <openssl/err.h>
21 #include <openssl/opensslv.h>
22 #include "crypto/ec.h"
23 #include "internal/nelem.h"
25 #include "e_os.h" /* strcasecmp */
27 /* functions for EC_GROUP objects */
29 EC_GROUP *ec_group_new_ex(OPENSSL_CTX *libctx, const char *propq,
30 const EC_METHOD *meth)
35 ECerr(0, EC_R_SLOT_FULL);
38 if (meth->group_init == 0) {
39 ECerr(0, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
43 ret = OPENSSL_zalloc(sizeof(*ret));
45 ECerr(0, ERR_R_MALLOC_FAILURE);
51 ret->propq = OPENSSL_strdup(propq);
52 if (ret->propq == NULL) {
53 ECerr(0, ERR_R_MALLOC_FAILURE);
58 if ((ret->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
59 ret->order = BN_new();
60 if (ret->order == NULL)
62 ret->cofactor = BN_new();
63 if (ret->cofactor == NULL)
66 ret->asn1_flag = OPENSSL_EC_NAMED_CURVE;
67 ret->asn1_form = POINT_CONVERSION_UNCOMPRESSED;
68 if (!meth->group_init(ret))
74 BN_free(ret->cofactor);
75 OPENSSL_free(ret->propq);
80 #ifndef OPENSSL_NO_DEPRECATED_3_0
82 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth)
84 return ec_group_new_ex(NULL, NULL, meth);
89 void EC_pre_comp_free(EC_GROUP *group)
91 switch (group->pre_comp_type) {
95 #ifdef ECP_NISTZ256_ASM
96 EC_nistz256_pre_comp_free(group->pre_comp.nistz256);
99 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
101 EC_nistp224_pre_comp_free(group->pre_comp.nistp224);
104 EC_nistp256_pre_comp_free(group->pre_comp.nistp256);
107 EC_nistp521_pre_comp_free(group->pre_comp.nistp521);
116 EC_ec_pre_comp_free(group->pre_comp.ec);
119 group->pre_comp.ec = NULL;
122 void EC_GROUP_free(EC_GROUP *group)
127 if (group->meth->group_finish != 0)
128 group->meth->group_finish(group);
130 EC_pre_comp_free(group);
131 BN_MONT_CTX_free(group->mont_data);
132 EC_POINT_free(group->generator);
133 BN_free(group->order);
134 BN_free(group->cofactor);
135 OPENSSL_free(group->seed);
136 OPENSSL_free(group->propq);
140 #ifndef OPENSSL_NO_DEPRECATED_3_0
141 void EC_GROUP_clear_free(EC_GROUP *group)
146 if (group->meth->group_clear_finish != 0)
147 group->meth->group_clear_finish(group);
148 else if (group->meth->group_finish != 0)
149 group->meth->group_finish(group);
151 EC_pre_comp_free(group);
152 BN_MONT_CTX_free(group->mont_data);
153 EC_POINT_clear_free(group->generator);
154 BN_clear_free(group->order);
155 BN_clear_free(group->cofactor);
156 OPENSSL_clear_free(group->seed, group->seed_len);
157 OPENSSL_clear_free(group, sizeof(*group));
161 int EC_GROUP_copy(EC_GROUP *dest, const EC_GROUP *src)
163 if (dest->meth->group_copy == 0) {
164 ECerr(EC_F_EC_GROUP_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
167 if (dest->meth != src->meth) {
168 ECerr(EC_F_EC_GROUP_COPY, EC_R_INCOMPATIBLE_OBJECTS);
174 dest->libctx = src->libctx;
175 dest->curve_name = src->curve_name;
177 /* Copy precomputed */
178 dest->pre_comp_type = src->pre_comp_type;
179 switch (src->pre_comp_type) {
181 dest->pre_comp.ec = NULL;
184 #ifdef ECP_NISTZ256_ASM
185 dest->pre_comp.nistz256 = EC_nistz256_pre_comp_dup(src->pre_comp.nistz256);
188 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
190 dest->pre_comp.nistp224 = EC_nistp224_pre_comp_dup(src->pre_comp.nistp224);
193 dest->pre_comp.nistp256 = EC_nistp256_pre_comp_dup(src->pre_comp.nistp256);
196 dest->pre_comp.nistp521 = EC_nistp521_pre_comp_dup(src->pre_comp.nistp521);
205 dest->pre_comp.ec = EC_ec_pre_comp_dup(src->pre_comp.ec);
209 if (src->mont_data != NULL) {
210 if (dest->mont_data == NULL) {
211 dest->mont_data = BN_MONT_CTX_new();
212 if (dest->mont_data == NULL)
215 if (!BN_MONT_CTX_copy(dest->mont_data, src->mont_data))
218 /* src->generator == NULL */
219 BN_MONT_CTX_free(dest->mont_data);
220 dest->mont_data = NULL;
223 if (src->generator != NULL) {
224 if (dest->generator == NULL) {
225 dest->generator = EC_POINT_new(dest);
226 if (dest->generator == NULL)
229 if (!EC_POINT_copy(dest->generator, src->generator))
232 /* src->generator == NULL */
233 EC_POINT_clear_free(dest->generator);
234 dest->generator = NULL;
237 if ((src->meth->flags & EC_FLAGS_CUSTOM_CURVE) == 0) {
238 if (!BN_copy(dest->order, src->order))
240 if (!BN_copy(dest->cofactor, src->cofactor))
244 dest->asn1_flag = src->asn1_flag;
245 dest->asn1_form = src->asn1_form;
246 dest->decoded_from_explicit_params = src->decoded_from_explicit_params;
249 OPENSSL_free(dest->seed);
250 if ((dest->seed = OPENSSL_malloc(src->seed_len)) == NULL) {
251 ECerr(EC_F_EC_GROUP_COPY, ERR_R_MALLOC_FAILURE);
254 if (!memcpy(dest->seed, src->seed, src->seed_len))
256 dest->seed_len = src->seed_len;
258 OPENSSL_free(dest->seed);
263 return dest->meth->group_copy(dest, src);
266 EC_GROUP *EC_GROUP_dup(const EC_GROUP *a)
274 if ((t = ec_group_new_ex(a->libctx, a->propq, a->meth)) == NULL)
276 if (!EC_GROUP_copy(t, a))
289 #ifndef OPENSSL_NO_DEPRECATED_3_0
290 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group)
295 int EC_METHOD_get_field_type(const EC_METHOD *meth)
297 return meth->field_type;
301 static int ec_precompute_mont_data(EC_GROUP *);
304 * Try computing cofactor from the generator order (n) and field cardinality (q).
305 * This works for all curves of cryptographic interest.
307 * Hasse thm: q + 1 - 2*sqrt(q) <= n*h <= q + 1 + 2*sqrt(q)
308 * h_min = (q + 1 - 2*sqrt(q))/n
309 * h_max = (q + 1 + 2*sqrt(q))/n
310 * h_max - h_min = 4*sqrt(q)/n
311 * So if n > 4*sqrt(q) holds, there is only one possible value for h:
312 * h = \lfloor (h_min + h_max)/2 \rceil = \lfloor (q + 1)/n \rceil
314 * Otherwise, zero cofactor and return success.
316 static int ec_guess_cofactor(EC_GROUP *group) {
322 * If the cofactor is too large, we cannot guess it.
323 * The RHS of below is a strict overestimate of lg(4 * sqrt(q))
325 if (BN_num_bits(group->order) <= (BN_num_bits(group->field) + 1) / 2 + 3) {
327 BN_zero(group->cofactor);
332 if ((ctx = BN_CTX_new_ex(group->libctx)) == NULL)
336 if ((q = BN_CTX_get(ctx)) == NULL)
339 /* set q = 2**m for binary fields; q = p otherwise */
340 if (group->meth->field_type == NID_X9_62_characteristic_two_field) {
342 if (!BN_set_bit(q, BN_num_bits(group->field) - 1))
345 if (!BN_copy(q, group->field))
349 /* compute h = \lfloor (q + 1)/n \rceil = \lfloor (q + 1 + n/2)/n \rfloor */
350 if (!BN_rshift1(group->cofactor, group->order) /* n/2 */
351 || !BN_add(group->cofactor, group->cofactor, q) /* q + n/2 */
353 || !BN_add(group->cofactor, group->cofactor, BN_value_one())
354 /* (q + 1 + n/2)/n */
355 || !BN_div(group->cofactor, NULL, group->cofactor, group->order, ctx))
364 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
365 const BIGNUM *order, const BIGNUM *cofactor)
367 if (generator == NULL) {
368 ECerr(EC_F_EC_GROUP_SET_GENERATOR, ERR_R_PASSED_NULL_PARAMETER);
372 /* require group->field >= 1 */
373 if (group->field == NULL || BN_is_zero(group->field)
374 || BN_is_negative(group->field)) {
375 ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_INVALID_FIELD);
380 * - require order >= 1
381 * - enforce upper bound due to Hasse thm: order can be no more than one bit
382 * longer than field cardinality
384 if (order == NULL || BN_is_zero(order) || BN_is_negative(order)
385 || BN_num_bits(order) > BN_num_bits(group->field) + 1) {
386 ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_INVALID_GROUP_ORDER);
391 * Unfortunately the cofactor is an optional field in many standards.
392 * Internally, the lib uses 0 cofactor as a marker for "unknown cofactor".
393 * So accept cofactor == NULL or cofactor >= 0.
395 if (cofactor != NULL && BN_is_negative(cofactor)) {
396 ECerr(EC_F_EC_GROUP_SET_GENERATOR, EC_R_UNKNOWN_COFACTOR);
400 if (group->generator == NULL) {
401 group->generator = EC_POINT_new(group);
402 if (group->generator == NULL)
405 if (!EC_POINT_copy(group->generator, generator))
408 if (!BN_copy(group->order, order))
411 /* Either take the provided positive cofactor, or try to compute it */
412 if (cofactor != NULL && !BN_is_zero(cofactor)) {
413 if (!BN_copy(group->cofactor, cofactor))
415 } else if (!ec_guess_cofactor(group)) {
416 BN_zero(group->cofactor);
421 * Some groups have an order with
422 * factors of two, which makes the Montgomery setup fail.
423 * |group->mont_data| will be NULL in this case.
425 if (BN_is_odd(group->order)) {
426 return ec_precompute_mont_data(group);
429 BN_MONT_CTX_free(group->mont_data);
430 group->mont_data = NULL;
434 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group)
436 return group->generator;
439 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group)
441 return group->mont_data;
444 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx)
446 if (group->order == NULL)
448 if (!BN_copy(order, group->order))
451 return !BN_is_zero(order);
454 const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group)
459 int EC_GROUP_order_bits(const EC_GROUP *group)
461 return group->meth->group_order_bits(group);
464 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
468 if (group->cofactor == NULL)
470 if (!BN_copy(cofactor, group->cofactor))
473 return !BN_is_zero(group->cofactor);
476 const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group)
478 return group->cofactor;
481 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid)
483 group->curve_name = nid;
486 int EC_GROUP_get_curve_name(const EC_GROUP *group)
488 return group->curve_name;
491 const BIGNUM *EC_GROUP_get0_field(const EC_GROUP *group)
496 int EC_GROUP_get_field_type(const EC_GROUP *group)
498 return group->meth->field_type;
501 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag)
503 group->asn1_flag = flag;
506 int EC_GROUP_get_asn1_flag(const EC_GROUP *group)
508 return group->asn1_flag;
511 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
512 point_conversion_form_t form)
514 group->asn1_form = form;
517 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP
520 return group->asn1_form;
523 size_t EC_GROUP_set_seed(EC_GROUP *group, const unsigned char *p, size_t len)
525 OPENSSL_free(group->seed);
532 if ((group->seed = OPENSSL_malloc(len)) == NULL) {
533 ECerr(EC_F_EC_GROUP_SET_SEED, ERR_R_MALLOC_FAILURE);
536 memcpy(group->seed, p, len);
537 group->seed_len = len;
542 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *group)
547 size_t EC_GROUP_get_seed_len(const EC_GROUP *group)
549 return group->seed_len;
552 int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
553 const BIGNUM *b, BN_CTX *ctx)
555 if (group->meth->group_set_curve == 0) {
556 ECerr(EC_F_EC_GROUP_SET_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
559 return group->meth->group_set_curve(group, p, a, b, ctx);
562 int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
565 if (group->meth->group_get_curve == NULL) {
566 ECerr(EC_F_EC_GROUP_GET_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
569 return group->meth->group_get_curve(group, p, a, b, ctx);
572 #ifndef OPENSSL_NO_DEPRECATED_3_0
573 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
574 const BIGNUM *b, BN_CTX *ctx)
576 return EC_GROUP_set_curve(group, p, a, b, ctx);
579 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
580 BIGNUM *b, BN_CTX *ctx)
582 return EC_GROUP_get_curve(group, p, a, b, ctx);
585 # ifndef OPENSSL_NO_EC2M
586 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
587 const BIGNUM *b, BN_CTX *ctx)
589 return EC_GROUP_set_curve(group, p, a, b, ctx);
592 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
593 BIGNUM *b, BN_CTX *ctx)
595 return EC_GROUP_get_curve(group, p, a, b, ctx);
600 int EC_GROUP_get_degree(const EC_GROUP *group)
602 if (group->meth->group_get_degree == 0) {
603 ECerr(EC_F_EC_GROUP_GET_DEGREE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
606 return group->meth->group_get_degree(group);
609 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx)
611 if (group->meth->group_check_discriminant == 0) {
612 ECerr(EC_F_EC_GROUP_CHECK_DISCRIMINANT,
613 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
616 return group->meth->group_check_discriminant(group, ctx);
619 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx)
622 BIGNUM *a1, *a2, *a3, *b1, *b2, *b3;
624 BN_CTX *ctx_new = NULL;
627 /* compare the field types */
628 if (EC_GROUP_get_field_type(a) != EC_GROUP_get_field_type(b))
630 /* compare the curve name (if present in both) */
631 if (EC_GROUP_get_curve_name(a) && EC_GROUP_get_curve_name(b) &&
632 EC_GROUP_get_curve_name(a) != EC_GROUP_get_curve_name(b))
634 if (a->meth->flags & EC_FLAGS_CUSTOM_CURVE)
639 ctx_new = ctx = BN_CTX_new();
645 a1 = BN_CTX_get(ctx);
646 a2 = BN_CTX_get(ctx);
647 a3 = BN_CTX_get(ctx);
648 b1 = BN_CTX_get(ctx);
649 b2 = BN_CTX_get(ctx);
650 b3 = BN_CTX_get(ctx);
654 BN_CTX_free(ctx_new);
660 * XXX This approach assumes that the external representation of curves
661 * over the same field type is the same.
663 if (!a->meth->group_get_curve(a, a1, a2, a3, ctx) ||
664 !b->meth->group_get_curve(b, b1, b2, b3, ctx))
667 /* return 1 if the curve parameters are different */
668 if (r || BN_cmp(a1, b1) != 0 || BN_cmp(a2, b2) != 0 || BN_cmp(a3, b3) != 0)
671 /* XXX EC_POINT_cmp() assumes that the methods are equal */
672 /* return 1 if the generators are different */
673 if (r || EC_POINT_cmp(a, EC_GROUP_get0_generator(a),
674 EC_GROUP_get0_generator(b), ctx) != 0)
678 const BIGNUM *ao, *bo, *ac, *bc;
679 /* compare the orders */
680 ao = EC_GROUP_get0_order(a);
681 bo = EC_GROUP_get0_order(b);
682 if (ao == NULL || bo == NULL) {
683 /* return an error if either order is NULL */
687 if (BN_cmp(ao, bo) != 0) {
688 /* return 1 if orders are different */
693 * It gets here if the curve parameters and generator matched.
694 * Now check the optional cofactors (if both are present).
696 ac = EC_GROUP_get0_cofactor(a);
697 bc = EC_GROUP_get0_cofactor(b);
698 /* Returns 1 (mismatch) if both cofactors are specified and different */
699 if (!BN_is_zero(ac) && !BN_is_zero(bc) && BN_cmp(ac, bc) != 0)
701 /* Returns 0 if the parameters matched */
706 BN_CTX_free(ctx_new);
711 /* functions for EC_POINT objects */
713 EC_POINT *EC_POINT_new(const EC_GROUP *group)
718 ECerr(EC_F_EC_POINT_NEW, ERR_R_PASSED_NULL_PARAMETER);
721 if (group->meth->point_init == NULL) {
722 ECerr(EC_F_EC_POINT_NEW, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
726 ret = OPENSSL_zalloc(sizeof(*ret));
728 ECerr(EC_F_EC_POINT_NEW, ERR_R_MALLOC_FAILURE);
732 ret->meth = group->meth;
733 ret->curve_name = group->curve_name;
735 if (!ret->meth->point_init(ret)) {
743 void EC_POINT_free(EC_POINT *point)
748 if (point->meth->point_finish != 0)
749 point->meth->point_finish(point);
753 void EC_POINT_clear_free(EC_POINT *point)
758 if (point->meth->point_clear_finish != 0)
759 point->meth->point_clear_finish(point);
760 else if (point->meth->point_finish != 0)
761 point->meth->point_finish(point);
762 OPENSSL_clear_free(point, sizeof(*point));
765 int EC_POINT_copy(EC_POINT *dest, const EC_POINT *src)
767 if (dest->meth->point_copy == 0) {
768 ECerr(EC_F_EC_POINT_COPY, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
771 if (dest->meth != src->meth
772 || (dest->curve_name != src->curve_name
773 && dest->curve_name != 0
774 && src->curve_name != 0)) {
775 ECerr(EC_F_EC_POINT_COPY, EC_R_INCOMPATIBLE_OBJECTS);
780 return dest->meth->point_copy(dest, src);
783 EC_POINT *EC_POINT_dup(const EC_POINT *a, const EC_GROUP *group)
791 t = EC_POINT_new(group);
794 r = EC_POINT_copy(t, a);
802 #ifndef OPENSSL_NO_DEPRECATED_3_0
803 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point)
809 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point)
811 if (group->meth->point_set_to_infinity == 0) {
812 ECerr(EC_F_EC_POINT_SET_TO_INFINITY,
813 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
816 if (group->meth != point->meth) {
817 ECerr(EC_F_EC_POINT_SET_TO_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
820 return group->meth->point_set_to_infinity(group, point);
823 #ifndef OPENSSL_NO_DEPRECATED_3_0
824 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
825 EC_POINT *point, const BIGNUM *x,
826 const BIGNUM *y, const BIGNUM *z,
829 if (group->meth->field_type != NID_X9_62_prime_field) {
830 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
831 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
834 if (!ec_point_is_compat(point, group)) {
835 ECerr(EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP,
836 EC_R_INCOMPATIBLE_OBJECTS);
839 return ec_GFp_simple_set_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
842 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
843 const EC_POINT *point, BIGNUM *x,
844 BIGNUM *y, BIGNUM *z,
847 if (group->meth->field_type != NID_X9_62_prime_field) {
848 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
849 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
852 if (!ec_point_is_compat(point, group)) {
853 ECerr(EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP,
854 EC_R_INCOMPATIBLE_OBJECTS);
857 return ec_GFp_simple_get_Jprojective_coordinates_GFp(group, point, x, y, z, ctx);
861 int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *point,
862 const BIGNUM *x, const BIGNUM *y,
865 if (group->meth->point_set_affine_coordinates == NULL) {
866 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES,
867 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
870 if (!ec_point_is_compat(point, group)) {
871 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
874 if (!group->meth->point_set_affine_coordinates(group, point, x, y, ctx))
877 if (EC_POINT_is_on_curve(group, point, ctx) <= 0) {
878 ECerr(EC_F_EC_POINT_SET_AFFINE_COORDINATES, EC_R_POINT_IS_NOT_ON_CURVE);
884 #ifndef OPENSSL_NO_DEPRECATED_3_0
885 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
886 EC_POINT *point, const BIGNUM *x,
887 const BIGNUM *y, BN_CTX *ctx)
889 return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
892 # ifndef OPENSSL_NO_EC2M
893 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
894 EC_POINT *point, const BIGNUM *x,
895 const BIGNUM *y, BN_CTX *ctx)
897 return EC_POINT_set_affine_coordinates(group, point, x, y, ctx);
902 int EC_POINT_get_affine_coordinates(const EC_GROUP *group,
903 const EC_POINT *point, BIGNUM *x, BIGNUM *y,
906 if (group->meth->point_get_affine_coordinates == NULL) {
907 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES,
908 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
911 if (!ec_point_is_compat(point, group)) {
912 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES, EC_R_INCOMPATIBLE_OBJECTS);
915 if (EC_POINT_is_at_infinity(group, point)) {
916 ECerr(EC_F_EC_POINT_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY);
919 return group->meth->point_get_affine_coordinates(group, point, x, y, ctx);
922 #ifndef OPENSSL_NO_DEPRECATED_3_0
923 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
924 const EC_POINT *point, BIGNUM *x,
925 BIGNUM *y, BN_CTX *ctx)
927 return EC_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,
932 const EC_POINT *point, BIGNUM *x,
933 BIGNUM *y, BN_CTX *ctx)
935 return EC_POINT_get_affine_coordinates(group, point, x, y, ctx);
940 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
941 const EC_POINT *b, BN_CTX *ctx)
943 if (group->meth->add == 0) {
944 ECerr(EC_F_EC_POINT_ADD, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
947 if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)
948 || !ec_point_is_compat(b, group)) {
949 ECerr(EC_F_EC_POINT_ADD, EC_R_INCOMPATIBLE_OBJECTS);
952 return group->meth->add(group, r, a, b, ctx);
955 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
958 if (group->meth->dbl == 0) {
959 ECerr(EC_F_EC_POINT_DBL, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
962 if (!ec_point_is_compat(r, group) || !ec_point_is_compat(a, group)) {
963 ECerr(EC_F_EC_POINT_DBL, EC_R_INCOMPATIBLE_OBJECTS);
966 return group->meth->dbl(group, r, a, ctx);
969 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx)
971 if (group->meth->invert == 0) {
972 ECerr(EC_F_EC_POINT_INVERT, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
975 if (!ec_point_is_compat(a, group)) {
976 ECerr(EC_F_EC_POINT_INVERT, EC_R_INCOMPATIBLE_OBJECTS);
979 return group->meth->invert(group, a, ctx);
982 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *point)
984 if (group->meth->is_at_infinity == 0) {
985 ECerr(EC_F_EC_POINT_IS_AT_INFINITY,
986 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
989 if (!ec_point_is_compat(point, group)) {
990 ECerr(EC_F_EC_POINT_IS_AT_INFINITY, EC_R_INCOMPATIBLE_OBJECTS);
993 return group->meth->is_at_infinity(group, point);
997 * Check whether an EC_POINT is on the curve or not. Note that the return
998 * value for this function should NOT be treated as a boolean. Return values:
999 * 1: The point is on the curve
1000 * 0: The point is not on the curve
1001 * -1: An error occurred
1003 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
1006 if (group->meth->is_on_curve == 0) {
1007 ECerr(EC_F_EC_POINT_IS_ON_CURVE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1010 if (!ec_point_is_compat(point, group)) {
1011 ECerr(EC_F_EC_POINT_IS_ON_CURVE, EC_R_INCOMPATIBLE_OBJECTS);
1014 return group->meth->is_on_curve(group, point, ctx);
1017 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
1020 if (group->meth->point_cmp == 0) {
1021 ECerr(EC_F_EC_POINT_CMP, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1024 if (!ec_point_is_compat(a, group) || !ec_point_is_compat(b, group)) {
1025 ECerr(EC_F_EC_POINT_CMP, EC_R_INCOMPATIBLE_OBJECTS);
1028 return group->meth->point_cmp(group, a, b, ctx);
1031 #ifndef OPENSSL_NO_DEPRECATED_3_0
1032 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx)
1034 if (group->meth->make_affine == 0) {
1035 ECerr(EC_F_EC_POINT_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1038 if (!ec_point_is_compat(point, group)) {
1039 ECerr(EC_F_EC_POINT_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1042 return group->meth->make_affine(group, point, ctx);
1045 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
1046 EC_POINT *points[], BN_CTX *ctx)
1050 if (group->meth->points_make_affine == 0) {
1051 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1054 for (i = 0; i < num; i++) {
1055 if (!ec_point_is_compat(points[i], group)) {
1056 ECerr(EC_F_EC_POINTS_MAKE_AFFINE, EC_R_INCOMPATIBLE_OBJECTS);
1060 return group->meth->points_make_affine(group, num, points, ctx);
1065 * Functions for point multiplication. If group->meth->mul is 0, we use the
1066 * wNAF-based implementations in ec_mult.c; otherwise we dispatch through
1070 #ifndef OPENSSL_NO_DEPRECATED_3_0
1071 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *scalar,
1072 size_t num, const EC_POINT *points[],
1073 const BIGNUM *scalars[], BN_CTX *ctx)
1078 BN_CTX *new_ctx = NULL;
1081 if (!ec_point_is_compat(r, group)) {
1082 ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
1086 if (scalar == NULL && num == 0)
1087 return EC_POINT_set_to_infinity(group, r);
1089 for (i = 0; i < num; i++) {
1090 if (!ec_point_is_compat(points[i], group)) {
1091 ECerr(EC_F_EC_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS);
1098 ctx = new_ctx = BN_CTX_secure_new();
1101 ECerr(EC_F_EC_POINTS_MUL, ERR_R_INTERNAL_ERROR);
1105 if (group->meth->mul != NULL)
1106 ret = group->meth->mul(group, r, scalar, num, points, scalars, ctx);
1109 ret = ec_wNAF_mul(group, r, scalar, num, points, scalars, ctx);
1112 BN_CTX_free(new_ctx);
1118 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *g_scalar,
1119 const EC_POINT *point, const BIGNUM *p_scalar, BN_CTX *ctx)
1124 BN_CTX *new_ctx = NULL;
1127 if (!ec_point_is_compat(r, group)
1128 || (point != NULL && !ec_point_is_compat(point, group))) {
1129 ECerr(EC_F_EC_POINT_MUL, EC_R_INCOMPATIBLE_OBJECTS);
1133 if (g_scalar == NULL && p_scalar == NULL)
1134 return EC_POINT_set_to_infinity(group, r);
1138 ctx = new_ctx = BN_CTX_secure_new();
1141 ECerr(EC_F_EC_POINT_MUL, ERR_R_INTERNAL_ERROR);
1145 num = (point != NULL && p_scalar != NULL) ? 1 : 0;
1146 if (group->meth->mul != NULL)
1147 ret = group->meth->mul(group, r, g_scalar, num, &point, &p_scalar, ctx);
1150 ret = ec_wNAF_mul(group, r, g_scalar, num, &point, &p_scalar, ctx);
1153 BN_CTX_free(new_ctx);
1158 #ifndef OPENSSL_NO_DEPRECATED_3_0
1159 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx)
1161 if (group->meth->mul == 0)
1163 return ec_wNAF_precompute_mult(group, ctx);
1165 if (group->meth->precompute_mult != 0)
1166 return group->meth->precompute_mult(group, ctx);
1168 return 1; /* nothing to do, so report success */
1171 int EC_GROUP_have_precompute_mult(const EC_GROUP *group)
1173 if (group->meth->mul == 0)
1175 return ec_wNAF_have_precompute_mult(group);
1177 if (group->meth->have_precompute_mult != 0)
1178 return group->meth->have_precompute_mult(group);
1180 return 0; /* cannot tell whether precomputation has
1186 * ec_precompute_mont_data sets |group->mont_data| from |group->order| and
1187 * returns one on success. On error it returns zero.
1189 static int ec_precompute_mont_data(EC_GROUP *group)
1191 BN_CTX *ctx = BN_CTX_new_ex(group->libctx);
1194 BN_MONT_CTX_free(group->mont_data);
1195 group->mont_data = NULL;
1200 group->mont_data = BN_MONT_CTX_new();
1201 if (group->mont_data == NULL)
1204 if (!BN_MONT_CTX_set(group->mont_data, group->order, ctx)) {
1205 BN_MONT_CTX_free(group->mont_data);
1206 group->mont_data = NULL;
1219 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg)
1221 return CRYPTO_set_ex_data(&key->ex_data, idx, arg);
1224 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx)
1226 return CRYPTO_get_ex_data(&key->ex_data, idx);
1230 int ec_group_simple_order_bits(const EC_GROUP *group)
1232 if (group->order == NULL)
1234 return BN_num_bits(group->order);
1237 static int ec_field_inverse_mod_ord(const EC_GROUP *group, BIGNUM *r,
1238 const BIGNUM *x, BN_CTX *ctx)
1243 BN_CTX *new_ctx = NULL;
1246 if (group->mont_data == NULL)
1251 ctx = new_ctx = BN_CTX_secure_new();
1257 if ((e = BN_CTX_get(ctx)) == NULL)
1261 * We want inverse in constant time, therefore we utilize the fact
1262 * order must be prime and use Fermats Little Theorem instead.
1264 if (!BN_set_word(e, 2))
1266 if (!BN_sub(e, group->order, e))
1269 * Exponent e is public.
1270 * No need for scatter-gather or BN_FLG_CONSTTIME.
1272 if (!BN_mod_exp_mont(r, x, e, group->order, ctx, group->mont_data))
1280 BN_CTX_free(new_ctx);
1286 * Default behavior, if group->meth->field_inverse_mod_ord is NULL:
1287 * - When group->order is even, this function returns an error.
1288 * - When group->order is otherwise composite, the correctness
1289 * of the output is not guaranteed.
1290 * - When x is outside the range [1, group->order), the correctness
1291 * of the output is not guaranteed.
1292 * - Otherwise, this function returns the multiplicative inverse in the
1293 * range [1, group->order).
1295 * EC_METHODs must implement their own field_inverse_mod_ord for
1296 * other functionality.
1298 int ec_group_do_inverse_ord(const EC_GROUP *group, BIGNUM *res,
1299 const BIGNUM *x, BN_CTX *ctx)
1301 if (group->meth->field_inverse_mod_ord != NULL)
1302 return group->meth->field_inverse_mod_ord(group, res, x, ctx);
1304 return ec_field_inverse_mod_ord(group, res, x, ctx);
1308 * Coordinate blinding for EC_POINT.
1310 * The underlying EC_METHOD can optionally implement this function:
1311 * underlying implementations should return 0 on errors, or 1 on
1314 * This wrapper returns 1 in case the underlying EC_METHOD does not
1315 * support coordinate blinding.
1317 int ec_point_blind_coordinates(const EC_GROUP *group, EC_POINT *p, BN_CTX *ctx)
1319 if (group->meth->blind_coordinates == NULL)
1320 return 1; /* ignore if not implemented */
1322 return group->meth->blind_coordinates(group, p, ctx);
1325 int EC_GROUP_get_basis_type(const EC_GROUP *group)
1329 if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field)
1330 /* everything else is currently not supported */
1333 /* Find the last non-zero element of group->poly[] */
1335 i < (int)OSSL_NELEM(group->poly) && group->poly[i] != 0;
1340 return NID_X9_62_ppBasis;
1342 return NID_X9_62_tpBasis;
1344 /* everything else is currently not supported */
1348 #ifndef OPENSSL_NO_EC2M
1349 int EC_GROUP_get_trinomial_basis(const EC_GROUP *group, unsigned int *k)
1354 if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field
1355 || !((group->poly[0] != 0) && (group->poly[1] != 0)
1356 && (group->poly[2] == 0))) {
1357 ECerr(EC_F_EC_GROUP_GET_TRINOMIAL_BASIS,
1358 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1363 *k = group->poly[1];
1368 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *group, unsigned int *k1,
1369 unsigned int *k2, unsigned int *k3)
1374 if (EC_GROUP_get_field_type(group) != NID_X9_62_characteristic_two_field
1375 || !((group->poly[0] != 0) && (group->poly[1] != 0)
1376 && (group->poly[2] != 0) && (group->poly[3] != 0)
1377 && (group->poly[4] == 0))) {
1378 ECerr(EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS,
1379 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
1384 *k1 = group->poly[3];
1386 *k2 = group->poly[2];
1388 *k3 = group->poly[1];
1395 * Check if the explicit parameters group matches any built-in curves.
1397 * We create a copy of the group just built, so that we can remove optional
1398 * fields for the lookup: we do this to avoid the possibility that one of
1399 * the optional parameters is used to force the library into using a less
1400 * performant and less secure EC_METHOD instead of the specialized one.
1401 * In any case, `seed` is not really used in any computation, while a
1402 * cofactor different from the one in the built-in table is just
1403 * mathematically wrong anyway and should not be used.
1405 static EC_GROUP *ec_group_explicit_to_named(const EC_GROUP *group,
1406 OPENSSL_CTX *libctx,
1410 EC_GROUP *ret_group = NULL, *dup = NULL;
1413 const EC_POINT *point = EC_GROUP_get0_generator(group);
1414 const BIGNUM *order = EC_GROUP_get0_order(group);
1415 int no_seed = (EC_GROUP_get0_seed(group) == NULL);
1417 if ((dup = EC_GROUP_dup(group)) == NULL
1418 || EC_GROUP_set_seed(dup, NULL, 0) != 1
1419 || !EC_GROUP_set_generator(dup, point, order, NULL))
1421 if ((curve_name_nid = ec_curve_nid_from_params(dup, ctx)) != NID_undef) {
1423 * The input explicit parameters successfully matched one of the
1424 * built-in curves: often for built-in curves we have specialized
1425 * methods with better performance and hardening.
1427 * In this case we replace the `EC_GROUP` created through explicit
1428 * parameters with one created from a named group.
1431 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
1433 * NID_wap_wsg_idm_ecid_wtls12 and NID_secp224r1 are both aliases for
1434 * the same curve, we prefer the SECP nid when matching explicit
1435 * parameters as that is associated with a specialized EC_METHOD.
1437 if (curve_name_nid == NID_wap_wsg_idm_ecid_wtls12)
1438 curve_name_nid = NID_secp224r1;
1439 #endif /* !def(OPENSSL_NO_EC_NISTP_64_GCC_128) */
1441 ret_group = EC_GROUP_new_by_curve_name_ex(libctx, propq, curve_name_nid);
1442 if (ret_group == NULL)
1446 * Set the flag so that EC_GROUPs created from explicit parameters are
1447 * serialized using explicit parameters by default.
1449 EC_GROUP_set_asn1_flag(ret_group, OPENSSL_EC_EXPLICIT_CURVE);
1452 * If the input params do not contain the optional seed field we make
1453 * sure it is not added to the returned group.
1455 * The seed field is not really used inside libcrypto anyway, and
1456 * adding it to parsed explicit parameter keys would alter their DER
1457 * encoding output (because of the extra field) which could impact
1458 * applications fingerprinting keys by their DER encoding.
1461 if (EC_GROUP_set_seed(ret_group, NULL, 0) != 1)
1465 ret_group = (EC_GROUP *)group;
1471 EC_GROUP_free(ret_group);
1475 static int ec_encoding_param2id(const OSSL_PARAM *p, int *id)
1477 const char *name = NULL;
1480 switch (p->data_type) {
1481 case OSSL_PARAM_UTF8_STRING:
1482 /* The OSSL_PARAM functions have no support for this */
1484 status = (name != NULL);
1486 case OSSL_PARAM_UTF8_PTR:
1487 status = OSSL_PARAM_get_utf8_ptr(p, &name);
1491 int i = ec_encoding_name2id(name);
1501 static EC_GROUP *group_new_from_name(const OSSL_PARAM *p,
1502 OPENSSL_CTX *libctx, const char *propq)
1505 const char *curve_name = NULL;
1507 switch (p->data_type) {
1508 case OSSL_PARAM_UTF8_STRING:
1509 /* The OSSL_PARAM functions have no support for this */
1510 curve_name = p->data;
1511 ok = (curve_name != NULL);
1513 case OSSL_PARAM_UTF8_PTR:
1514 ok = OSSL_PARAM_get_utf8_ptr(p, &curve_name);
1519 nid = ec_curve_name2nid(curve_name);
1520 if (nid == NID_undef) {
1521 ECerr(0, EC_R_INVALID_CURVE);
1524 return EC_GROUP_new_by_curve_name_ex(libctx, propq, nid);
1530 EC_GROUP *EC_GROUP_new_from_params(const OSSL_PARAM params[],
1531 OPENSSL_CTX *libctx, const char *propq)
1533 const OSSL_PARAM *ptmp, *pa, *pb;
1535 EC_GROUP *group = NULL, *named_group = NULL;
1536 BIGNUM *p = NULL, *a = NULL, *b = NULL, *order = NULL, *cofactor = NULL;
1537 EC_POINT *point = NULL;
1539 int is_prime_field = 1;
1540 BN_CTX *bnctx = NULL;
1541 const unsigned char *buf = NULL;
1542 int encoding_flag = -1;
1544 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ENCODING);
1545 if (ptmp != NULL && !ec_encoding_param2id(ptmp, &encoding_flag)) {
1546 ECerr(0, EC_R_INVALID_ENCODING);
1550 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_GROUP_NAME);
1552 group = group_new_from_name(ptmp, libctx, propq);
1554 EC_GROUP_set_asn1_flag(group, encoding_flag);
1557 bnctx = BN_CTX_new_ex(libctx);
1558 if (bnctx == NULL) {
1559 ECerr(0, ERR_R_MALLOC_FAILURE);
1562 BN_CTX_start(bnctx);
1564 p = BN_CTX_get(bnctx);
1565 a = BN_CTX_get(bnctx);
1566 b = BN_CTX_get(bnctx);
1567 order = BN_CTX_get(bnctx);
1568 if (order == NULL) {
1569 ECerr(0, ERR_R_MALLOC_FAILURE);
1573 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_FIELD_TYPE);
1574 if (ptmp == NULL || ptmp->data_type != OSSL_PARAM_UTF8_STRING) {
1575 ECerr(0, EC_R_INVALID_FIELD);
1578 if (strcasecmp(ptmp->data, SN_X9_62_prime_field) == 0) {
1580 } else if (strcasecmp(ptmp->data, SN_X9_62_characteristic_two_field) == 0) {
1584 ECerr(0, EC_R_UNSUPPORTED_FIELD);
1588 pa = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_A);
1589 if (!OSSL_PARAM_get_BN(pa, &a)) {
1590 ECerr(0, EC_R_INVALID_A);
1593 pb = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_B);
1594 if (!OSSL_PARAM_get_BN(pb, &b)) {
1595 ECerr(0, EC_R_INVALID_B);
1599 /* extract the prime number or irreducible polynomial */
1600 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_P);
1601 if (!OSSL_PARAM_get_BN(ptmp, &p)) {
1602 ECerr(0, EC_R_INVALID_P);
1606 if (is_prime_field) {
1607 if (BN_is_negative(p) || BN_is_zero(p)) {
1608 ECerr(0, EC_R_INVALID_P);
1611 field_bits = BN_num_bits(p);
1612 if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
1613 ECerr(0, EC_R_FIELD_TOO_LARGE);
1617 /* create the EC_GROUP structure */
1618 group = EC_GROUP_new_curve_GFp(p, a, b, bnctx);
1620 #ifdef OPENSSL_NO_EC2M
1621 ECerr(0, EC_R_GF2M_NOT_SUPPORTED);
1624 /* create the EC_GROUP structure */
1625 group = EC_GROUP_new_curve_GF2m(p, a, b, NULL);
1626 if (group != NULL) {
1627 field_bits = EC_GROUP_get_degree(group);
1628 if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
1629 ECerr(0, EC_R_FIELD_TOO_LARGE);
1633 #endif /* OPENSSL_NO_EC2M */
1636 if (group == NULL) {
1637 ECerr(0, ERR_R_EC_LIB);
1642 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_SEED);
1644 if (ptmp->data_type != OSSL_PARAM_OCTET_STRING) {
1645 ECerr(0, EC_R_INVALID_SEED);
1648 if (!EC_GROUP_set_seed(group, ptmp->data, ptmp->data_size))
1652 /* generator base point */
1653 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_GENERATOR);
1655 || ptmp->data_type != OSSL_PARAM_OCTET_STRING) {
1656 ECerr(0, EC_R_INVALID_GENERATOR);
1659 buf = (const unsigned char *)(ptmp->data);
1660 if ((point = EC_POINT_new(group)) == NULL)
1662 EC_GROUP_set_point_conversion_form(group,
1663 (point_conversion_form_t)buf[0] & ~0x01);
1664 if (!EC_POINT_oct2point(group, point, buf, ptmp->data_size, bnctx)) {
1665 ECerr(0, EC_R_INVALID_GENERATOR);
1670 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_ORDER);
1671 if (!OSSL_PARAM_get_BN(ptmp, &order)
1672 || (BN_is_negative(order) || BN_is_zero(order))
1673 || (BN_num_bits(order) > (int)field_bits + 1)) { /* Hasse bound */
1674 ECerr(0, EC_R_INVALID_GROUP_ORDER);
1678 /* Optional cofactor */
1679 ptmp = OSSL_PARAM_locate_const(params, OSSL_PKEY_PARAM_EC_COFACTOR);
1681 cofactor = BN_CTX_get(bnctx);
1682 if (cofactor == NULL || !OSSL_PARAM_get_BN(ptmp, &cofactor)) {
1683 ECerr(0, EC_R_INVALID_COFACTOR);
1688 /* set the generator, order and cofactor (if present) */
1689 if (!EC_GROUP_set_generator(group, point, order, cofactor)) {
1690 ECerr(0, EC_R_INVALID_GENERATOR);
1694 named_group = ec_group_explicit_to_named(group, libctx, propq, bnctx);
1695 if (named_group == NULL) {
1696 ECerr(0, EC_R_INVALID_NAMED_GROUP_CONVERSION);
1699 if (named_group == group) {
1701 * If we did not find a named group then the encoding should be explicit
1702 * if it was specified
1704 if (encoding_flag == OPENSSL_EC_NAMED_CURVE) {
1705 ECerr(0, EC_R_INVALID_ENCODING);
1708 EC_GROUP_set_asn1_flag(group, OPENSSL_EC_EXPLICIT_CURVE);
1710 EC_GROUP_free(group);
1711 group = named_group;
1716 EC_GROUP_free(group);
1719 EC_POINT_free(point);