2 * Copyright 2002-2020 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
12 #include <openssl/err.h>
13 #include <openssl/asn1t.h>
14 #include <openssl/objects.h>
15 #include "internal/nelem.h"
17 int EC_GROUP_get_basis_type(const EC_GROUP *group)
21 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) !=
22 NID_X9_62_characteristic_two_field)
23 /* everything else is currently not supported */
26 /* Find the last non-zero element of group->poly[] */
28 i < (int)OSSL_NELEM(group->poly) && group->poly[i] != 0;
33 return NID_X9_62_ppBasis;
35 return NID_X9_62_tpBasis;
37 /* everything else is currently not supported */
41 #ifndef OPENSSL_NO_EC2M
42 int EC_GROUP_get_trinomial_basis(const EC_GROUP *group, unsigned int *k)
47 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) !=
48 NID_X9_62_characteristic_two_field
49 || !((group->poly[0] != 0) && (group->poly[1] != 0)
50 && (group->poly[2] == 0))) {
51 ECerr(EC_F_EC_GROUP_GET_TRINOMIAL_BASIS,
52 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
62 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *group, unsigned int *k1,
63 unsigned int *k2, unsigned int *k3)
68 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) !=
69 NID_X9_62_characteristic_two_field
70 || !((group->poly[0] != 0) && (group->poly[1] != 0)
71 && (group->poly[2] != 0) && (group->poly[3] != 0)
72 && (group->poly[4] == 0))) {
73 ECerr(EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS,
74 ERR_R_SHOULD_NOT_HAVE_BEEN_CALLED);
89 /* some structures needed for the asn1 encoding */
90 typedef struct x9_62_pentanomial_st {
96 typedef struct x9_62_characteristic_two_st {
101 /* NID_X9_62_onBasis */
103 /* NID_X9_62_tpBasis */
104 ASN1_INTEGER *tpBasis;
105 /* NID_X9_62_ppBasis */
106 X9_62_PENTANOMIAL *ppBasis;
110 } X9_62_CHARACTERISTIC_TWO;
112 typedef struct x9_62_fieldid_st {
113 ASN1_OBJECT *fieldType;
116 /* NID_X9_62_prime_field */
118 /* NID_X9_62_characteristic_two_field */
119 X9_62_CHARACTERISTIC_TWO *char_two;
125 typedef struct x9_62_curve_st {
126 ASN1_OCTET_STRING *a;
127 ASN1_OCTET_STRING *b;
128 ASN1_BIT_STRING *seed;
131 struct ec_parameters_st {
133 X9_62_FIELDID *fieldID;
135 ASN1_OCTET_STRING *base;
137 ASN1_INTEGER *cofactor;
138 } /* ECPARAMETERS */ ;
140 struct ecpk_parameters_st {
143 ASN1_OBJECT *named_curve;
144 ECPARAMETERS *parameters;
145 ASN1_NULL *implicitlyCA;
147 } /* ECPKPARAMETERS */ ;
149 /* SEC1 ECPrivateKey */
150 typedef struct ec_privatekey_st {
152 ASN1_OCTET_STRING *privateKey;
153 ECPKPARAMETERS *parameters;
154 ASN1_BIT_STRING *publicKey;
157 /* the OpenSSL ASN.1 definitions */
158 ASN1_SEQUENCE(X9_62_PENTANOMIAL) = {
159 ASN1_EMBED(X9_62_PENTANOMIAL, k1, INT32),
160 ASN1_EMBED(X9_62_PENTANOMIAL, k2, INT32),
161 ASN1_EMBED(X9_62_PENTANOMIAL, k3, INT32)
162 } static_ASN1_SEQUENCE_END(X9_62_PENTANOMIAL)
164 DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL)
165 IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_PENTANOMIAL)
167 ASN1_ADB_TEMPLATE(char_two_def) = ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.other, ASN1_ANY);
169 ASN1_ADB(X9_62_CHARACTERISTIC_TWO) = {
170 ADB_ENTRY(NID_X9_62_onBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.onBasis, ASN1_NULL)),
171 ADB_ENTRY(NID_X9_62_tpBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.tpBasis, ASN1_INTEGER)),
172 ADB_ENTRY(NID_X9_62_ppBasis, ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, p.ppBasis, X9_62_PENTANOMIAL))
173 } ASN1_ADB_END(X9_62_CHARACTERISTIC_TWO, 0, type, 0, &char_two_def_tt, NULL);
175 ASN1_SEQUENCE(X9_62_CHARACTERISTIC_TWO) = {
176 ASN1_EMBED(X9_62_CHARACTERISTIC_TWO, m, INT32),
177 ASN1_SIMPLE(X9_62_CHARACTERISTIC_TWO, type, ASN1_OBJECT),
178 ASN1_ADB_OBJECT(X9_62_CHARACTERISTIC_TWO)
179 } static_ASN1_SEQUENCE_END(X9_62_CHARACTERISTIC_TWO)
181 DECLARE_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO)
182 IMPLEMENT_ASN1_ALLOC_FUNCTIONS(X9_62_CHARACTERISTIC_TWO)
184 ASN1_ADB_TEMPLATE(fieldID_def) = ASN1_SIMPLE(X9_62_FIELDID, p.other, ASN1_ANY);
186 ASN1_ADB(X9_62_FIELDID) = {
187 ADB_ENTRY(NID_X9_62_prime_field, ASN1_SIMPLE(X9_62_FIELDID, p.prime, ASN1_INTEGER)),
188 ADB_ENTRY(NID_X9_62_characteristic_two_field, ASN1_SIMPLE(X9_62_FIELDID, p.char_two, X9_62_CHARACTERISTIC_TWO))
189 } ASN1_ADB_END(X9_62_FIELDID, 0, fieldType, 0, &fieldID_def_tt, NULL);
191 ASN1_SEQUENCE(X9_62_FIELDID) = {
192 ASN1_SIMPLE(X9_62_FIELDID, fieldType, ASN1_OBJECT),
193 ASN1_ADB_OBJECT(X9_62_FIELDID)
194 } static_ASN1_SEQUENCE_END(X9_62_FIELDID)
196 ASN1_SEQUENCE(X9_62_CURVE) = {
197 ASN1_SIMPLE(X9_62_CURVE, a, ASN1_OCTET_STRING),
198 ASN1_SIMPLE(X9_62_CURVE, b, ASN1_OCTET_STRING),
199 ASN1_OPT(X9_62_CURVE, seed, ASN1_BIT_STRING)
200 } static_ASN1_SEQUENCE_END(X9_62_CURVE)
202 ASN1_SEQUENCE(ECPARAMETERS) = {
203 ASN1_EMBED(ECPARAMETERS, version, INT32),
204 ASN1_SIMPLE(ECPARAMETERS, fieldID, X9_62_FIELDID),
205 ASN1_SIMPLE(ECPARAMETERS, curve, X9_62_CURVE),
206 ASN1_SIMPLE(ECPARAMETERS, base, ASN1_OCTET_STRING),
207 ASN1_SIMPLE(ECPARAMETERS, order, ASN1_INTEGER),
208 ASN1_OPT(ECPARAMETERS, cofactor, ASN1_INTEGER)
209 } ASN1_SEQUENCE_END(ECPARAMETERS)
211 DECLARE_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
212 IMPLEMENT_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
214 ASN1_CHOICE(ECPKPARAMETERS) = {
215 ASN1_SIMPLE(ECPKPARAMETERS, value.named_curve, ASN1_OBJECT),
216 ASN1_SIMPLE(ECPKPARAMETERS, value.parameters, ECPARAMETERS),
217 ASN1_SIMPLE(ECPKPARAMETERS, value.implicitlyCA, ASN1_NULL)
218 } ASN1_CHOICE_END(ECPKPARAMETERS)
220 DECLARE_ASN1_FUNCTIONS_const(ECPKPARAMETERS)
221 DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECPKPARAMETERS, ECPKPARAMETERS)
222 IMPLEMENT_ASN1_FUNCTIONS_const(ECPKPARAMETERS)
224 ASN1_SEQUENCE(EC_PRIVATEKEY) = {
225 ASN1_EMBED(EC_PRIVATEKEY, version, INT32),
226 ASN1_SIMPLE(EC_PRIVATEKEY, privateKey, ASN1_OCTET_STRING),
227 ASN1_EXP_OPT(EC_PRIVATEKEY, parameters, ECPKPARAMETERS, 0),
228 ASN1_EXP_OPT(EC_PRIVATEKEY, publicKey, ASN1_BIT_STRING, 1)
229 } static_ASN1_SEQUENCE_END(EC_PRIVATEKEY)
231 DECLARE_ASN1_FUNCTIONS_const(EC_PRIVATEKEY)
232 DECLARE_ASN1_ENCODE_FUNCTIONS_const(EC_PRIVATEKEY, EC_PRIVATEKEY)
233 IMPLEMENT_ASN1_FUNCTIONS_const(EC_PRIVATEKEY)
235 /* some declarations of internal function */
237 /* ec_asn1_group2field() sets the values in a X9_62_FIELDID object */
238 static int ec_asn1_group2fieldid(const EC_GROUP *, X9_62_FIELDID *);
239 /* ec_asn1_group2curve() sets the values in a X9_62_CURVE object */
240 static int ec_asn1_group2curve(const EC_GROUP *, X9_62_CURVE *);
242 /* the function definitions */
244 static int ec_asn1_group2fieldid(const EC_GROUP *group, X9_62_FIELDID *field)
249 if (group == NULL || field == NULL)
252 /* clear the old values (if necessary) */
253 ASN1_OBJECT_free(field->fieldType);
254 ASN1_TYPE_free(field->p.other);
256 nid = EC_METHOD_get_field_type(EC_GROUP_method_of(group));
257 /* set OID for the field */
258 if ((field->fieldType = OBJ_nid2obj(nid)) == NULL) {
259 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_OBJ_LIB);
263 if (nid == NID_X9_62_prime_field) {
264 if ((tmp = BN_new()) == NULL) {
265 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
268 /* the parameters are specified by the prime number p */
269 if (!EC_GROUP_get_curve(group, tmp, NULL, NULL, NULL)) {
270 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_EC_LIB);
273 /* set the prime number */
274 field->p.prime = BN_to_ASN1_INTEGER(tmp, NULL);
275 if (field->p.prime == NULL) {
276 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_ASN1_LIB);
279 } else if (nid == NID_X9_62_characteristic_two_field)
280 #ifdef OPENSSL_NO_EC2M
282 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, EC_R_GF2M_NOT_SUPPORTED);
288 X9_62_CHARACTERISTIC_TWO *char_two;
290 field->p.char_two = X9_62_CHARACTERISTIC_TWO_new();
291 char_two = field->p.char_two;
293 if (char_two == NULL) {
294 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
298 char_two->m = (long)EC_GROUP_get_degree(group);
300 field_type = EC_GROUP_get_basis_type(group);
302 if (field_type == 0) {
303 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_EC_LIB);
306 /* set base type OID */
307 if ((char_two->type = OBJ_nid2obj(field_type)) == NULL) {
308 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_OBJ_LIB);
312 if (field_type == NID_X9_62_tpBasis) {
315 if (!EC_GROUP_get_trinomial_basis(group, &k))
318 char_two->p.tpBasis = ASN1_INTEGER_new();
319 if (char_two->p.tpBasis == NULL) {
320 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
323 if (!ASN1_INTEGER_set(char_two->p.tpBasis, (long)k)) {
324 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_ASN1_LIB);
327 } else if (field_type == NID_X9_62_ppBasis) {
328 unsigned int k1, k2, k3;
330 if (!EC_GROUP_get_pentanomial_basis(group, &k1, &k2, &k3))
333 char_two->p.ppBasis = X9_62_PENTANOMIAL_new();
334 if (char_two->p.ppBasis == NULL) {
335 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
340 char_two->p.ppBasis->k1 = (long)k1;
341 char_two->p.ppBasis->k2 = (long)k2;
342 char_two->p.ppBasis->k3 = (long)k3;
343 } else { /* field_type == NID_X9_62_onBasis */
345 /* for ONB the parameters are (asn1) NULL */
346 char_two->p.onBasis = ASN1_NULL_new();
347 if (char_two->p.onBasis == NULL) {
348 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, ERR_R_MALLOC_FAILURE);
355 ECerr(EC_F_EC_ASN1_GROUP2FIELDID, EC_R_UNSUPPORTED_FIELD);
366 static int ec_asn1_group2curve(const EC_GROUP *group, X9_62_CURVE *curve)
369 BIGNUM *tmp_1 = NULL, *tmp_2 = NULL;
370 unsigned char *a_buf = NULL, *b_buf = NULL;
373 if (!group || !curve || !curve->a || !curve->b)
376 if ((tmp_1 = BN_new()) == NULL || (tmp_2 = BN_new()) == NULL) {
377 ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE);
382 if (!EC_GROUP_get_curve(group, NULL, tmp_1, tmp_2, NULL)) {
383 ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_EC_LIB);
388 * Per SEC 1, the curve coefficients must be padded up to size. See C.2's
389 * definition of Curve, C.1's definition of FieldElement, and 2.3.5's
390 * definition of how to encode the field elements.
392 len = ((size_t)EC_GROUP_get_degree(group) + 7) / 8;
393 if ((a_buf = OPENSSL_malloc(len)) == NULL
394 || (b_buf = OPENSSL_malloc(len)) == NULL) {
395 ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE);
398 if (BN_bn2binpad(tmp_1, a_buf, len) < 0
399 || BN_bn2binpad(tmp_2, b_buf, len) < 0) {
400 ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_BN_LIB);
405 if (!ASN1_OCTET_STRING_set(curve->a, a_buf, len)
406 || !ASN1_OCTET_STRING_set(curve->b, b_buf, len)) {
407 ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_ASN1_LIB);
411 /* set the seed (optional) */
414 if ((curve->seed = ASN1_BIT_STRING_new()) == NULL) {
415 ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_MALLOC_FAILURE);
418 curve->seed->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT | 0x07);
419 curve->seed->flags |= ASN1_STRING_FLAG_BITS_LEFT;
420 if (!ASN1_BIT_STRING_set(curve->seed, group->seed,
421 (int)group->seed_len)) {
422 ECerr(EC_F_EC_ASN1_GROUP2CURVE, ERR_R_ASN1_LIB);
426 ASN1_BIT_STRING_free(curve->seed);
440 ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
441 ECPARAMETERS *params)
444 ECPARAMETERS *ret = NULL;
446 unsigned char *buffer = NULL;
447 const EC_POINT *point = NULL;
448 point_conversion_form_t form;
451 if (params == NULL) {
452 if ((ret = ECPARAMETERS_new()) == NULL) {
453 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_MALLOC_FAILURE);
459 /* set the version (always one) */
460 ret->version = (long)0x1;
462 /* set the fieldID */
463 if (!ec_asn1_group2fieldid(group, ret->fieldID)) {
464 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_EC_LIB);
469 if (!ec_asn1_group2curve(group, ret->curve)) {
470 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_EC_LIB);
474 /* set the base point */
475 if ((point = EC_GROUP_get0_generator(group)) == NULL) {
476 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, EC_R_UNDEFINED_GENERATOR);
480 form = EC_GROUP_get_point_conversion_form(group);
482 len = EC_POINT_point2buf(group, point, form, &buffer, NULL);
484 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_EC_LIB);
487 if (ret->base == NULL && (ret->base = ASN1_OCTET_STRING_new()) == NULL) {
488 OPENSSL_free(buffer);
489 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_MALLOC_FAILURE);
492 ASN1_STRING_set0(ret->base, buffer, len);
495 tmp = EC_GROUP_get0_order(group);
497 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_EC_LIB);
500 ret->order = BN_to_ASN1_INTEGER(tmp, orig = ret->order);
501 if (ret->order == NULL) {
503 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_ASN1_LIB);
507 /* set the cofactor (optional) */
508 tmp = EC_GROUP_get0_cofactor(group);
510 ret->cofactor = BN_to_ASN1_INTEGER(tmp, orig = ret->cofactor);
511 if (ret->cofactor == NULL) {
512 ret->cofactor = orig;
513 ECerr(EC_F_EC_GROUP_GET_ECPARAMETERS, ERR_R_ASN1_LIB);
522 ECPARAMETERS_free(ret);
526 ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
527 ECPKPARAMETERS *params)
530 ECPKPARAMETERS *ret = params;
533 if ((ret = ECPKPARAMETERS_new()) == NULL) {
534 ECerr(EC_F_EC_GROUP_GET_ECPKPARAMETERS, ERR_R_MALLOC_FAILURE);
539 ASN1_OBJECT_free(ret->value.named_curve);
540 else if (ret->type == 1 && ret->value.parameters)
541 ECPARAMETERS_free(ret->value.parameters);
544 if (EC_GROUP_get_asn1_flag(group)) {
546 * use the asn1 OID to describe the elliptic curve parameters
548 tmp = EC_GROUP_get_curve_name(group);
551 if ((ret->value.named_curve = OBJ_nid2obj(tmp)) == NULL)
554 /* we don't know the nid => ERROR */
557 /* use the ECPARAMETERS structure */
559 if ((ret->value.parameters =
560 EC_GROUP_get_ecparameters(group, NULL)) == NULL)
565 ECPKPARAMETERS_free(ret);
571 EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params)
574 EC_GROUP *ret = NULL, *dup = NULL;
575 BIGNUM *p = NULL, *a = NULL, *b = NULL;
576 EC_POINT *point = NULL;
578 int curve_name = NID_undef;
581 if (!params->fieldID || !params->fieldID->fieldType ||
582 !params->fieldID->p.ptr) {
583 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
588 * Now extract the curve parameters a and b. Note that, although SEC 1
589 * specifies the length of their encodings, historical versions of OpenSSL
590 * encoded them incorrectly, so we must accept any length for backwards
593 if (!params->curve || !params->curve->a ||
594 !params->curve->a->data || !params->curve->b ||
595 !params->curve->b->data) {
596 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
599 a = BN_bin2bn(params->curve->a->data, params->curve->a->length, NULL);
601 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_BN_LIB);
604 b = BN_bin2bn(params->curve->b->data, params->curve->b->length, NULL);
606 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_BN_LIB);
610 /* get the field parameters */
611 tmp = OBJ_obj2nid(params->fieldID->fieldType);
612 if (tmp == NID_X9_62_characteristic_two_field)
613 #ifdef OPENSSL_NO_EC2M
615 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_GF2M_NOT_SUPPORTED);
620 X9_62_CHARACTERISTIC_TWO *char_two;
622 char_two = params->fieldID->p.char_two;
624 field_bits = char_two->m;
625 if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
626 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_FIELD_TOO_LARGE);
630 if ((p = BN_new()) == NULL) {
631 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_MALLOC_FAILURE);
635 /* get the base type */
636 tmp = OBJ_obj2nid(char_two->type);
638 if (tmp == NID_X9_62_tpBasis) {
641 if (!char_two->p.tpBasis) {
642 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
646 tmp_long = ASN1_INTEGER_get(char_two->p.tpBasis);
648 if (!(char_two->m > tmp_long && tmp_long > 0)) {
649 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS,
650 EC_R_INVALID_TRINOMIAL_BASIS);
654 /* create the polynomial */
655 if (!BN_set_bit(p, (int)char_two->m))
657 if (!BN_set_bit(p, (int)tmp_long))
659 if (!BN_set_bit(p, 0))
661 } else if (tmp == NID_X9_62_ppBasis) {
662 X9_62_PENTANOMIAL *penta;
664 penta = char_two->p.ppBasis;
666 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
671 (char_two->m > penta->k3 && penta->k3 > penta->k2
672 && penta->k2 > penta->k1 && penta->k1 > 0)) {
673 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS,
674 EC_R_INVALID_PENTANOMIAL_BASIS);
678 /* create the polynomial */
679 if (!BN_set_bit(p, (int)char_two->m))
681 if (!BN_set_bit(p, (int)penta->k1))
683 if (!BN_set_bit(p, (int)penta->k2))
685 if (!BN_set_bit(p, (int)penta->k3))
687 if (!BN_set_bit(p, 0))
689 } else if (tmp == NID_X9_62_onBasis) {
690 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_NOT_IMPLEMENTED);
694 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
698 /* create the EC_GROUP structure */
699 ret = EC_GROUP_new_curve_GF2m(p, a, b, NULL);
702 else if (tmp == NID_X9_62_prime_field) {
703 /* we have a curve over a prime field */
704 /* extract the prime number */
705 if (!params->fieldID->p.prime) {
706 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
709 p = ASN1_INTEGER_to_BN(params->fieldID->p.prime, NULL);
711 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_ASN1_LIB);
715 if (BN_is_negative(p) || BN_is_zero(p)) {
716 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_INVALID_FIELD);
720 field_bits = BN_num_bits(p);
721 if (field_bits > OPENSSL_ECC_MAX_FIELD_BITS) {
722 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_FIELD_TOO_LARGE);
726 /* create the EC_GROUP structure */
727 ret = EC_GROUP_new_curve_GFp(p, a, b, NULL);
729 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_INVALID_FIELD);
734 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_EC_LIB);
738 /* extract seed (optional) */
739 if (params->curve->seed != NULL) {
740 OPENSSL_free(ret->seed);
741 if ((ret->seed = OPENSSL_malloc(params->curve->seed->length)) == NULL) {
742 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_MALLOC_FAILURE);
745 memcpy(ret->seed, params->curve->seed->data,
746 params->curve->seed->length);
747 ret->seed_len = params->curve->seed->length;
750 if (!params->order || !params->base || !params->base->data) {
751 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_ASN1_ERROR);
755 if ((point = EC_POINT_new(ret)) == NULL)
758 /* set the point conversion form */
759 EC_GROUP_set_point_conversion_form(ret, (point_conversion_form_t)
760 (params->base->data[0] & ~0x01));
762 /* extract the ec point */
763 if (!EC_POINT_oct2point(ret, point, params->base->data,
764 params->base->length, NULL)) {
765 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_EC_LIB);
769 /* extract the order */
770 if ((a = ASN1_INTEGER_to_BN(params->order, a)) == NULL) {
771 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_ASN1_LIB);
774 if (BN_is_negative(a) || BN_is_zero(a)) {
775 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_INVALID_GROUP_ORDER);
778 if (BN_num_bits(a) > (int)field_bits + 1) { /* Hasse bound */
779 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, EC_R_INVALID_GROUP_ORDER);
783 /* extract the cofactor (optional) */
784 if (params->cofactor == NULL) {
787 } else if ((b = ASN1_INTEGER_to_BN(params->cofactor, b)) == NULL) {
788 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_ASN1_LIB);
791 /* set the generator, order and cofactor (if present) */
792 if (!EC_GROUP_set_generator(ret, point, a, b)) {
793 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_EC_LIB);
798 * Check if the explicit parameters group just created matches one of the
801 * We create a copy of the group just built, so that we can remove optional
802 * fields for the lookup: we do this to avoid the possibility that one of
803 * the optional parameters is used to force the library into using a less
804 * performant and less secure EC_METHOD instead of the specialized one.
805 * In any case, `seed` is not really used in any computation, while a
806 * cofactor different from the one in the built-in table is just
807 * mathematically wrong anyway and should not be used.
809 if ((ctx = BN_CTX_new()) == NULL) {
810 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_BN_LIB);
813 if ((dup = EC_GROUP_dup(ret)) == NULL
814 || EC_GROUP_set_seed(dup, NULL, 0) != 1
815 || !EC_GROUP_set_generator(dup, point, a, NULL)) {
816 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_EC_LIB);
819 if ((curve_name = ec_curve_nid_from_params(dup, ctx)) != NID_undef) {
821 * The input explicit parameters successfully matched one of the
822 * built-in curves: often for built-in curves we have specialized
823 * methods with better performance and hardening.
825 * In this case we replace the `EC_GROUP` created through explicit
826 * parameters with one created from a named group.
828 EC_GROUP *named_group = NULL;
830 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
832 * NID_wap_wsg_idm_ecid_wtls12 and NID_secp224r1 are both aliases for
833 * the same curve, we prefer the SECP nid when matching explicit
834 * parameters as that is associated with a specialized EC_METHOD.
836 if (curve_name == NID_wap_wsg_idm_ecid_wtls12)
837 curve_name = NID_secp224r1;
838 #endif /* !def(OPENSSL_NO_EC_NISTP_64_GCC_128) */
840 if ((named_group = EC_GROUP_new_by_curve_name(curve_name)) == NULL) {
841 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS, ERR_R_EC_LIB);
848 * Set the flag so that EC_GROUPs created from explicit parameters are
849 * serialized using explicit parameters by default.
851 EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_EXPLICIT_CURVE);
854 * If the input params do not contain the optional seed field we make
855 * sure it is not added to the returned group.
857 * The seed field is not really used inside libcrypto anyway, and
858 * adding it to parsed explicit parameter keys would alter their DER
859 * encoding output (because of the extra field) which could impact
860 * applications fingerprinting keys by their DER encoding.
862 if (params->curve->seed == NULL) {
863 if (EC_GROUP_set_seed(ret, NULL, 0) != 1)
880 EC_POINT_free(point);
887 EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params)
889 EC_GROUP *ret = NULL;
892 if (params == NULL) {
893 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS, EC_R_MISSING_PARAMETERS);
897 if (params->type == 0) { /* the curve is given by an OID */
898 tmp = OBJ_obj2nid(params->value.named_curve);
899 if ((ret = EC_GROUP_new_by_curve_name(tmp)) == NULL) {
900 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS,
901 EC_R_EC_GROUP_NEW_BY_NAME_FAILURE);
904 EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_NAMED_CURVE);
905 } else if (params->type == 1) { /* the parameters are given by a
906 * ECPARAMETERS structure */
907 ret = EC_GROUP_new_from_ecparameters(params->value.parameters);
909 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS, ERR_R_EC_LIB);
912 EC_GROUP_set_asn1_flag(ret, OPENSSL_EC_EXPLICIT_CURVE);
913 } else if (params->type == 2) { /* implicitlyCA */
916 ECerr(EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS, EC_R_ASN1_ERROR);
923 /* EC_GROUP <-> DER encoding of ECPKPARAMETERS */
925 EC_GROUP *d2i_ECPKParameters(EC_GROUP **a, const unsigned char **in, long len)
927 EC_GROUP *group = NULL;
928 ECPKPARAMETERS *params = NULL;
929 const unsigned char *p = *in;
931 if ((params = d2i_ECPKPARAMETERS(NULL, &p, len)) == NULL) {
932 ECerr(EC_F_D2I_ECPKPARAMETERS, EC_R_D2I_ECPKPARAMETERS_FAILURE);
933 ECPKPARAMETERS_free(params);
937 if ((group = EC_GROUP_new_from_ecpkparameters(params)) == NULL) {
938 ECerr(EC_F_D2I_ECPKPARAMETERS, EC_R_PKPARAMETERS2GROUP_FAILURE);
939 ECPKPARAMETERS_free(params);
948 ECPKPARAMETERS_free(params);
953 int i2d_ECPKParameters(const EC_GROUP *a, unsigned char **out)
956 ECPKPARAMETERS *tmp = EC_GROUP_get_ecpkparameters(a, NULL);
958 ECerr(EC_F_I2D_ECPKPARAMETERS, EC_R_GROUP2PKPARAMETERS_FAILURE);
961 if ((ret = i2d_ECPKPARAMETERS(tmp, out)) == 0) {
962 ECerr(EC_F_I2D_ECPKPARAMETERS, EC_R_I2D_ECPKPARAMETERS_FAILURE);
963 ECPKPARAMETERS_free(tmp);
966 ECPKPARAMETERS_free(tmp);
970 /* some EC_KEY functions */
972 EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len)
975 EC_PRIVATEKEY *priv_key = NULL;
976 const unsigned char *p = *in;
978 if ((priv_key = d2i_EC_PRIVATEKEY(NULL, &p, len)) == NULL) {
979 ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
983 if (a == NULL || *a == NULL) {
984 if ((ret = EC_KEY_new()) == NULL) {
985 ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE);
991 if (priv_key->parameters) {
992 EC_GROUP_free(ret->group);
993 ret->group = EC_GROUP_new_from_ecpkparameters(priv_key->parameters);
996 if (ret->group == NULL) {
997 ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
1001 ret->version = priv_key->version;
1003 if (priv_key->privateKey) {
1004 ASN1_OCTET_STRING *pkey = priv_key->privateKey;
1005 if (EC_KEY_oct2priv(ret, ASN1_STRING_get0_data(pkey),
1006 ASN1_STRING_length(pkey)) == 0)
1009 ECerr(EC_F_D2I_ECPRIVATEKEY, EC_R_MISSING_PRIVATE_KEY);
1013 EC_POINT_clear_free(ret->pub_key);
1014 ret->pub_key = EC_POINT_new(ret->group);
1015 if (ret->pub_key == NULL) {
1016 ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
1020 if (priv_key->publicKey) {
1021 const unsigned char *pub_oct;
1024 pub_oct = ASN1_STRING_get0_data(priv_key->publicKey);
1025 pub_oct_len = ASN1_STRING_length(priv_key->publicKey);
1026 if (!EC_KEY_oct2key(ret, pub_oct, pub_oct_len, NULL)) {
1027 ECerr(EC_F_D2I_ECPRIVATEKEY, ERR_R_EC_LIB);
1031 if (ret->group->meth->keygenpub == NULL
1032 || ret->group->meth->keygenpub(ret) == 0)
1034 /* Remember the original private-key-only encoding. */
1035 ret->enc_flag |= EC_PKEY_NO_PUBKEY;
1040 EC_PRIVATEKEY_free(priv_key);
1045 if (a == NULL || *a != ret)
1047 EC_PRIVATEKEY_free(priv_key);
1051 int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out)
1053 int ret = 0, ok = 0;
1054 unsigned char *priv= NULL, *pub= NULL;
1055 size_t privlen = 0, publen = 0;
1057 EC_PRIVATEKEY *priv_key = NULL;
1059 if (a == NULL || a->group == NULL ||
1060 (!(a->enc_flag & EC_PKEY_NO_PUBKEY) && a->pub_key == NULL)) {
1061 ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_PASSED_NULL_PARAMETER);
1065 if ((priv_key = EC_PRIVATEKEY_new()) == NULL) {
1066 ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE);
1070 priv_key->version = a->version;
1072 privlen = EC_KEY_priv2buf(a, &priv);
1075 ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB);
1079 ASN1_STRING_set0(priv_key->privateKey, priv, privlen);
1082 if (!(a->enc_flag & EC_PKEY_NO_PARAMETERS)) {
1083 if ((priv_key->parameters =
1084 EC_GROUP_get_ecpkparameters(a->group,
1085 priv_key->parameters)) == NULL) {
1086 ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB);
1091 if (!(a->enc_flag & EC_PKEY_NO_PUBKEY)) {
1092 priv_key->publicKey = ASN1_BIT_STRING_new();
1093 if (priv_key->publicKey == NULL) {
1094 ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_MALLOC_FAILURE);
1098 publen = EC_KEY_key2buf(a, a->conv_form, &pub, NULL);
1101 ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB);
1105 priv_key->publicKey->flags &= ~(ASN1_STRING_FLAG_BITS_LEFT | 0x07);
1106 priv_key->publicKey->flags |= ASN1_STRING_FLAG_BITS_LEFT;
1107 ASN1_STRING_set0(priv_key->publicKey, pub, publen);
1111 if ((ret = i2d_EC_PRIVATEKEY(priv_key, out)) == 0) {
1112 ECerr(EC_F_I2D_ECPRIVATEKEY, ERR_R_EC_LIB);
1117 OPENSSL_clear_free(priv, privlen);
1119 EC_PRIVATEKEY_free(priv_key);
1120 return (ok ? ret : 0);
1123 int i2d_ECParameters(EC_KEY *a, unsigned char **out)
1126 ECerr(EC_F_I2D_ECPARAMETERS, ERR_R_PASSED_NULL_PARAMETER);
1129 return i2d_ECPKParameters(a->group, out);
1132 EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len)
1136 if (in == NULL || *in == NULL) {
1137 ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_PASSED_NULL_PARAMETER);
1141 if (a == NULL || *a == NULL) {
1142 if ((ret = EC_KEY_new()) == NULL) {
1143 ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_MALLOC_FAILURE);
1149 if (!d2i_ECPKParameters(&ret->group, in, len)) {
1150 ECerr(EC_F_D2I_ECPARAMETERS, ERR_R_EC_LIB);
1151 if (a == NULL || *a != ret)
1162 EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len)
1166 if (a == NULL || (*a) == NULL || (*a)->group == NULL) {
1168 * sorry, but a EC_GROUP-structure is necessary to set the public key
1170 ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_PASSED_NULL_PARAMETER);
1174 if (!EC_KEY_oct2key(ret, *in, len, NULL)) {
1175 ECerr(EC_F_O2I_ECPUBLICKEY, ERR_R_EC_LIB);
1182 int i2o_ECPublicKey(const EC_KEY *a, unsigned char **out)
1188 ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_PASSED_NULL_PARAMETER);
1192 buf_len = EC_POINT_point2oct(a->group, a->pub_key,
1193 a->conv_form, NULL, 0, NULL);
1195 if (out == NULL || buf_len == 0)
1196 /* out == NULL => just return the length of the octet string */
1200 if ((*out = OPENSSL_malloc(buf_len)) == NULL) {
1201 ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_MALLOC_FAILURE);
1206 if (!EC_POINT_point2oct(a->group, a->pub_key, a->conv_form,
1207 *out, buf_len, NULL)) {
1208 ECerr(EC_F_I2O_ECPUBLICKEY, ERR_R_EC_LIB);
1220 ASN1_SEQUENCE(ECDSA_SIG) = {
1221 ASN1_SIMPLE(ECDSA_SIG, r, CBIGNUM),
1222 ASN1_SIMPLE(ECDSA_SIG, s, CBIGNUM)
1223 } static_ASN1_SEQUENCE_END(ECDSA_SIG)
1225 DECLARE_ASN1_FUNCTIONS_const(ECDSA_SIG)
1226 DECLARE_ASN1_ENCODE_FUNCTIONS_const(ECDSA_SIG, ECDSA_SIG)
1227 IMPLEMENT_ASN1_ENCODE_FUNCTIONS_const_fname(ECDSA_SIG, ECDSA_SIG, ECDSA_SIG)
1229 ECDSA_SIG *ECDSA_SIG_new(void)
1231 ECDSA_SIG *sig = OPENSSL_zalloc(sizeof(*sig));
1233 ECerr(EC_F_ECDSA_SIG_NEW, ERR_R_MALLOC_FAILURE);
1237 void ECDSA_SIG_free(ECDSA_SIG *sig)
1241 BN_clear_free(sig->r);
1242 BN_clear_free(sig->s);
1246 void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps)
1254 const BIGNUM *ECDSA_SIG_get0_r(const ECDSA_SIG *sig)
1259 const BIGNUM *ECDSA_SIG_get0_s(const ECDSA_SIG *sig)
1264 int ECDSA_SIG_set0(ECDSA_SIG *sig, BIGNUM *r, BIGNUM *s)
1266 if (r == NULL || s == NULL)
1268 BN_clear_free(sig->r);
1269 BN_clear_free(sig->s);
1275 int ECDSA_size(const EC_KEY *r)
1279 unsigned char buf[4];
1280 const EC_GROUP *group;
1284 group = EC_KEY_get0_group(r);
1288 i = EC_GROUP_order_bits(group);
1291 bs.length = (i + 7) / 8;
1293 bs.type = V_ASN1_INTEGER;
1294 /* If the top bit is set the asn1 encoding is 1 larger. */
1297 i = i2d_ASN1_INTEGER(&bs, NULL);
1298 i += i; /* r and s */
1299 ret = ASN1_object_size(1, i, V_ASN1_SEQUENCE);