4 * Originally written by Bodo Moeller for the OpenSSL project.
7 * \file crypto/ec/ec.h Include file for the OpenSSL EC functions
8 * \author Originally written by Bodo Moeller for the OpenSSL project
10 /* ====================================================================
11 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
13 * Redistribution and use in source and binary forms, with or without
14 * modification, are permitted provided that the following conditions
17 * 1. Redistributions of source code must retain the above copyright
18 * notice, this list of conditions and the following disclaimer.
20 * 2. Redistributions in binary form must reproduce the above copyright
21 * notice, this list of conditions and the following disclaimer in
22 * the documentation and/or other materials provided with the
25 * 3. All advertising materials mentioning features or use of this
26 * software must display the following acknowledgment:
27 * "This product includes software developed by the OpenSSL Project
28 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
30 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
31 * endorse or promote products derived from this software without
32 * prior written permission. For written permission, please contact
33 * openssl-core@openssl.org.
35 * 5. Products derived from this software may not be called "OpenSSL"
36 * nor may "OpenSSL" appear in their names without prior written
37 * permission of the OpenSSL Project.
39 * 6. Redistributions of any form whatsoever must retain the following
41 * "This product includes software developed by the OpenSSL Project
42 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
44 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
45 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
46 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
47 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
48 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
49 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
50 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
51 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
52 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
53 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
54 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
55 * OF THE POSSIBILITY OF SUCH DAMAGE.
56 * ====================================================================
58 * This product includes cryptographic software written by Eric Young
59 * (eay@cryptsoft.com). This product includes software written by Tim
60 * Hudson (tjh@cryptsoft.com).
63 /* ====================================================================
64 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
66 * Portions of the attached software ("Contribution") are developed by
67 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
69 * The Contribution is licensed pursuant to the OpenSSL open source
70 * license provided above.
72 * The elliptic curve binary polynomial software is originally written by
73 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
80 # include <openssl/opensslconf.h>
83 # error EC is disabled.
86 # include <openssl/asn1.h>
87 # include <openssl/symhacks.h>
88 # if OPENSSL_API_COMPAT < 0x10100000L
89 # include <openssl/bn.h>
94 # elif defined(__SUNPRO_C)
95 # if __SUNPRO_C >= 0x520
96 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
100 # ifndef OPENSSL_ECC_MAX_FIELD_BITS
101 # define OPENSSL_ECC_MAX_FIELD_BITS 661
104 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
105 * for the encoding of a elliptic curve point (x,y) */
107 /** the point is encoded as z||x, where the octet z specifies
108 * which solution of the quadratic equation y is */
109 POINT_CONVERSION_COMPRESSED = 2,
110 /** the point is encoded as z||x||y, where z is the octet 0x04 */
111 POINT_CONVERSION_UNCOMPRESSED = 4,
112 /** the point is encoded as z||x||y, where the octet z specifies
113 * which solution of the quadratic equation y is */
114 POINT_CONVERSION_HYBRID = 6
115 } point_conversion_form_t;
117 typedef struct ec_method_st EC_METHOD;
119 typedef struct ec_group_st
123 -- curve coefficients
124 -- optional generator with associated information (order, cofactor)
125 -- optional extra data (precomputed table for fast computation of multiples of generator)
130 typedef struct ec_point_st EC_POINT;
132 /********************************************************************/
133 /* EC_METHODs for curves over GF(p) */
134 /********************************************************************/
136 /** Returns the basic GFp ec methods which provides the basis for the
138 * \return EC_METHOD object
140 const EC_METHOD *EC_GFp_simple_method(void);
142 /** Returns GFp methods using montgomery multiplication.
143 * \return EC_METHOD object
145 const EC_METHOD *EC_GFp_mont_method(void);
147 /** Returns GFp methods using optimized methods for NIST recommended curves
148 * \return EC_METHOD object
150 const EC_METHOD *EC_GFp_nist_method(void);
152 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
153 # ifndef OPENSSL_SYS_WIN32
154 /** Returns 64-bit optimized methods for nistp224
155 * \return EC_METHOD object
157 const EC_METHOD *EC_GFp_nistp224_method(void);
159 /** Returns 64-bit optimized methods for nistp256
160 * \return EC_METHOD object
162 const EC_METHOD *EC_GFp_nistp256_method(void);
164 /** Returns 64-bit optimized methods for nistp521
165 * \return EC_METHOD object
167 const EC_METHOD *EC_GFp_nistp521_method(void);
171 # ifndef OPENSSL_NO_EC2M
172 /********************************************************************/
173 /* EC_METHOD for curves over GF(2^m) */
174 /********************************************************************/
176 /** Returns the basic GF2m ec method
177 * \return EC_METHOD object
179 const EC_METHOD *EC_GF2m_simple_method(void);
183 /********************************************************************/
184 /* EC_GROUP functions */
185 /********************************************************************/
187 /** Creates a new EC_GROUP object
188 * \param meth EC_METHOD to use
189 * \return newly created EC_GROUP object or NULL in case of an error.
191 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
193 /** Frees a EC_GROUP object
194 * \param group EC_GROUP object to be freed.
196 void EC_GROUP_free(EC_GROUP *group);
198 /** Clears and frees a EC_GROUP object
199 * \param group EC_GROUP object to be cleared and freed.
201 void EC_GROUP_clear_free(EC_GROUP *group);
203 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
204 * \param dst destination EC_GROUP object
205 * \param src source EC_GROUP object
206 * \return 1 on success and 0 if an error occurred.
208 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
210 /** Creates a new EC_GROUP object and copies the copies the content
211 * form src to the newly created EC_KEY object
212 * \param src source EC_GROUP object
213 * \return newly created EC_GROUP object or NULL in case of an error.
215 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
217 /** Returns the EC_METHOD of the EC_GROUP object.
218 * \param group EC_GROUP object
219 * \return EC_METHOD used in this EC_GROUP object.
221 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
223 /** Returns the field type of the EC_METHOD.
224 * \param meth EC_METHOD object
225 * \return NID of the underlying field type OID.
227 int EC_METHOD_get_field_type(const EC_METHOD *meth);
229 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
230 * \param group EC_GROUP object
231 * \param generator EC_POINT object with the generator.
232 * \param order the order of the group generated by the generator.
233 * \param cofactor the index of the sub-group generated by the generator
234 * in the group of all points on the elliptic curve.
235 * \return 1 on success and 0 if an error occurred
237 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
238 const BIGNUM *order, const BIGNUM *cofactor);
240 /** Returns the generator of a EC_GROUP object.
241 * \param group EC_GROUP object
242 * \return the currently used generator (possibly NULL).
244 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
246 /** Returns the montgomery data for order(Generator)
247 * \param group EC_GROUP object
248 * \return the currently used generator (possibly NULL).
250 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
252 /** Gets the order of a EC_GROUP
253 * \param group EC_GROUP object
254 * \param order BIGNUM to which the order is copied
255 * \param ctx BN_CTX object (optional)
256 * \return 1 on success and 0 if an error occurred
258 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
260 /** Gets the order of an EC_GROUP
261 * \param group EC_GROUP object
262 * \return the group order
265 const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
267 /** Gets the number of bits of ther order of an EC_GROUP
268 * \param group EC_GROUP object
269 * \return number of bits of group order.
272 int EC_GROUP_order_bits(const EC_GROUP *group);
274 /** Gets the cofactor of a EC_GROUP
275 * \param group EC_GROUP object
276 * \param cofactor BIGNUM to which the cofactor is copied
277 * \param ctx BN_CTX object (optional)
278 * \return 1 on success and 0 if an error occurred
280 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
283 /** Gets the cofactor of an EC_GROUP
284 * \param group EC_GROUP object
285 * \return the group cofactor
288 const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group);
290 /** Sets the name of a EC_GROUP object
291 * \param group EC_GROUP object
292 * \param nid NID of the curve name OID
294 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
296 /** Returns the curve name of a EC_GROUP object
297 * \param group EC_GROUP object
298 * \return NID of the curve name OID or 0 if not set.
300 int EC_GROUP_get_curve_name(const EC_GROUP *group);
302 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
303 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
305 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
306 point_conversion_form_t form);
307 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
309 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
310 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
311 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
313 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
314 * \param group EC_GROUP object
315 * \param p BIGNUM with the prime number
316 * \param a BIGNUM with parameter a of the equation
317 * \param b BIGNUM with parameter b of the equation
318 * \param ctx BN_CTX object (optional)
319 * \return 1 on success and 0 if an error occurred
321 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
322 const BIGNUM *b, BN_CTX *ctx);
324 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
325 * \param group EC_GROUP object
326 * \param p BIGNUM for the prime number
327 * \param a BIGNUM for parameter a of the equation
328 * \param b BIGNUM for parameter b of the equation
329 * \param ctx BN_CTX object (optional)
330 * \return 1 on success and 0 if an error occurred
332 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
333 BIGNUM *b, BN_CTX *ctx);
335 # ifndef OPENSSL_NO_EC2M
336 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
337 * \param group EC_GROUP object
338 * \param p BIGNUM with the polynomial defining the underlying field
339 * \param a BIGNUM with parameter a of the equation
340 * \param b BIGNUM with parameter b of the equation
341 * \param ctx BN_CTX object (optional)
342 * \return 1 on success and 0 if an error occurred
344 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
345 const BIGNUM *b, BN_CTX *ctx);
347 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
348 * \param group EC_GROUP object
349 * \param p BIGNUM for the polynomial defining the underlying field
350 * \param a BIGNUM for parameter a of the equation
351 * \param b BIGNUM for parameter b of the equation
352 * \param ctx BN_CTX object (optional)
353 * \return 1 on success and 0 if an error occurred
355 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
356 BIGNUM *b, BN_CTX *ctx);
358 /** Returns the number of bits needed to represent a field element
359 * \param group EC_GROUP object
360 * \return number of bits needed to represent a field element
362 int EC_GROUP_get_degree(const EC_GROUP *group);
364 /** Checks whether the parameter in the EC_GROUP define a valid ec group
365 * \param group EC_GROUP object
366 * \param ctx BN_CTX object (optional)
367 * \return 1 if group is a valid ec group and 0 otherwise
369 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
371 /** Checks whether the discriminant of the elliptic curve is zero or not
372 * \param group EC_GROUP object
373 * \param ctx BN_CTX object (optional)
374 * \return 1 if the discriminant is not zero and 0 otherwise
376 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
378 /** Compares two EC_GROUP objects
379 * \param a first EC_GROUP object
380 * \param b second EC_GROUP object
381 * \param ctx BN_CTX object (optional)
382 * \return 0 if both groups are equal and 1 otherwise
384 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
387 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
388 * choosing an appropriate EC_METHOD
391 /** Creates a new EC_GROUP object with the specified parameters defined
392 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
393 * \param p BIGNUM with the prime number
394 * \param a BIGNUM with the parameter a of the equation
395 * \param b BIGNUM with the parameter b of the equation
396 * \param ctx BN_CTX object (optional)
397 * \return newly created EC_GROUP object with the specified parameters
399 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
400 const BIGNUM *b, BN_CTX *ctx);
401 # ifndef OPENSSL_NO_EC2M
402 /** Creates a new EC_GROUP object with the specified parameters defined
403 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
404 * \param p BIGNUM with the polynomial defining the underlying field
405 * \param a BIGNUM with the parameter a of the equation
406 * \param b BIGNUM with the parameter b of the equation
407 * \param ctx BN_CTX object (optional)
408 * \return newly created EC_GROUP object with the specified parameters
410 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
411 const BIGNUM *b, BN_CTX *ctx);
413 /** Creates a EC_GROUP object with a curve specified by a NID
414 * \param nid NID of the OID of the curve name
415 * \return newly created EC_GROUP object with specified curve or NULL
416 * if an error occurred
418 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
420 /********************************************************************/
421 /* handling of internal curves */
422 /********************************************************************/
430 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
431 * available curves or zero if a error occurred. In case r ist not zero
432 * nitems EC_builtin_curve structures are filled with the data of the first
433 * nitems internal groups
435 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
437 const char *EC_curve_nid2nist(int nid);
438 int EC_curve_nist2nid(const char *name);
440 /********************************************************************/
441 /* EC_POINT functions */
442 /********************************************************************/
444 /** Creates a new EC_POINT object for the specified EC_GROUP
445 * \param group EC_GROUP the underlying EC_GROUP object
446 * \return newly created EC_POINT object or NULL if an error occurred
448 EC_POINT *EC_POINT_new(const EC_GROUP *group);
450 /** Frees a EC_POINT object
451 * \param point EC_POINT object to be freed
453 void EC_POINT_free(EC_POINT *point);
455 /** Clears and frees a EC_POINT object
456 * \param point EC_POINT object to be cleared and freed
458 void EC_POINT_clear_free(EC_POINT *point);
460 /** Copies EC_POINT object
461 * \param dst destination EC_POINT object
462 * \param src source EC_POINT object
463 * \return 1 on success and 0 if an error occurred
465 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
467 /** Creates a new EC_POINT object and copies the content of the supplied
469 * \param src source EC_POINT object
470 * \param group underlying the EC_GROUP object
471 * \return newly created EC_POINT object or NULL if an error occurred
473 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
475 /** Returns the EC_METHOD used in EC_POINT object
476 * \param point EC_POINT object
477 * \return the EC_METHOD used
479 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
481 /** Sets a point to infinity (neutral element)
482 * \param group underlying EC_GROUP object
483 * \param point EC_POINT to set to infinity
484 * \return 1 on success and 0 if an error occurred
486 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
488 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
489 * \param group underlying EC_GROUP object
490 * \param p EC_POINT object
491 * \param x BIGNUM with the x-coordinate
492 * \param y BIGNUM with the y-coordinate
493 * \param z BIGNUM with the z-coordinate
494 * \param ctx BN_CTX object (optional)
495 * \return 1 on success and 0 if an error occurred
497 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
498 EC_POINT *p, const BIGNUM *x,
499 const BIGNUM *y, const BIGNUM *z,
502 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
503 * \param group underlying EC_GROUP object
504 * \param p EC_POINT object
505 * \param x BIGNUM for the x-coordinate
506 * \param y BIGNUM for the y-coordinate
507 * \param z BIGNUM for the z-coordinate
508 * \param ctx BN_CTX object (optional)
509 * \return 1 on success and 0 if an error occurred
511 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
512 const EC_POINT *p, BIGNUM *x,
513 BIGNUM *y, BIGNUM *z,
516 /** Sets the affine coordinates of a EC_POINT over GFp
517 * \param group underlying EC_GROUP object
518 * \param p EC_POINT object
519 * \param x BIGNUM with the x-coordinate
520 * \param y BIGNUM with the y-coordinate
521 * \param ctx BN_CTX object (optional)
522 * \return 1 on success and 0 if an error occurred
524 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
525 const BIGNUM *x, const BIGNUM *y,
528 /** Gets the affine coordinates of a EC_POINT over GFp
529 * \param group underlying EC_GROUP object
530 * \param p EC_POINT object
531 * \param x BIGNUM for the x-coordinate
532 * \param y BIGNUM for the y-coordinate
533 * \param ctx BN_CTX object (optional)
534 * \return 1 on success and 0 if an error occurred
536 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
537 const EC_POINT *p, BIGNUM *x,
538 BIGNUM *y, BN_CTX *ctx);
540 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
541 * \param group underlying EC_GROUP object
542 * \param p EC_POINT object
543 * \param x BIGNUM with x-coordinate
544 * \param y_bit integer with the y-Bit (either 0 or 1)
545 * \param ctx BN_CTX object (optional)
546 * \return 1 on success and 0 if an error occurred
548 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
549 EC_POINT *p, const BIGNUM *x,
550 int y_bit, BN_CTX *ctx);
551 # ifndef OPENSSL_NO_EC2M
552 /** Sets the affine coordinates of a EC_POINT over GF2m
553 * \param group underlying EC_GROUP object
554 * \param p EC_POINT object
555 * \param x BIGNUM with the x-coordinate
556 * \param y BIGNUM with the y-coordinate
557 * \param ctx BN_CTX object (optional)
558 * \return 1 on success and 0 if an error occurred
560 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
561 const BIGNUM *x, const BIGNUM *y,
564 /** Gets the affine coordinates of a EC_POINT over GF2m
565 * \param group underlying EC_GROUP object
566 * \param p EC_POINT object
567 * \param x BIGNUM for the x-coordinate
568 * \param y BIGNUM for the y-coordinate
569 * \param ctx BN_CTX object (optional)
570 * \return 1 on success and 0 if an error occurred
572 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
573 const EC_POINT *p, BIGNUM *x,
574 BIGNUM *y, BN_CTX *ctx);
576 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
577 * \param group underlying EC_GROUP object
578 * \param p EC_POINT object
579 * \param x BIGNUM with x-coordinate
580 * \param y_bit integer with the y-Bit (either 0 or 1)
581 * \param ctx BN_CTX object (optional)
582 * \return 1 on success and 0 if an error occurred
584 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
585 EC_POINT *p, const BIGNUM *x,
586 int y_bit, BN_CTX *ctx);
588 /** Encodes a EC_POINT object to a octet string
589 * \param group underlying EC_GROUP object
590 * \param p EC_POINT object
591 * \param form point conversion form
592 * \param buf memory buffer for the result. If NULL the function returns
593 * required buffer size.
594 * \param len length of the memory buffer
595 * \param ctx BN_CTX object (optional)
596 * \return the length of the encoded octet string or 0 if an error occurred
598 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
599 point_conversion_form_t form,
600 unsigned char *buf, size_t len, BN_CTX *ctx);
602 /** Decodes a EC_POINT from a octet string
603 * \param group underlying EC_GROUP object
604 * \param p EC_POINT object
605 * \param buf memory buffer with the encoded ec point
606 * \param len length of the encoded ec point
607 * \param ctx BN_CTX object (optional)
608 * \return 1 on success and 0 if an error occurred
610 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
611 const unsigned char *buf, size_t len, BN_CTX *ctx);
613 /** Encodes an EC_POINT object to an allocated octet string
614 * \param group underlying EC_GROUP object
615 * \param point EC_POINT object
616 * \param form point conversion form
617 * \param pbuf returns pointer to allocated buffer
618 * \param len length of the memory buffer
619 * \param ctx BN_CTX object (optional)
620 * \return the length of the encoded octet string or 0 if an error occurred
623 size_t EC_POINT_point2buf(const EC_GROUP *group, const EC_POINT *point,
624 point_conversion_form_t form,
625 unsigned char **pbuf, BN_CTX *ctx);
627 /* other interfaces to point2oct/oct2point: */
628 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
629 point_conversion_form_t form, BIGNUM *, BN_CTX *);
630 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
631 EC_POINT *, BN_CTX *);
632 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
633 point_conversion_form_t form, BN_CTX *);
634 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
635 EC_POINT *, BN_CTX *);
637 /********************************************************************/
638 /* functions for doing EC_POINT arithmetic */
639 /********************************************************************/
641 /** Computes the sum of two EC_POINT
642 * \param group underlying EC_GROUP object
643 * \param r EC_POINT object for the result (r = a + b)
644 * \param a EC_POINT object with the first summand
645 * \param b EC_POINT object with the second summand
646 * \param ctx BN_CTX object (optional)
647 * \return 1 on success and 0 if an error occurred
649 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
650 const EC_POINT *b, BN_CTX *ctx);
652 /** Computes the double of a EC_POINT
653 * \param group underlying EC_GROUP object
654 * \param r EC_POINT object for the result (r = 2 * a)
655 * \param a EC_POINT object
656 * \param ctx BN_CTX object (optional)
657 * \return 1 on success and 0 if an error occurred
659 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
662 /** Computes the inverse of a EC_POINT
663 * \param group underlying EC_GROUP object
664 * \param a EC_POINT object to be inverted (it's used for the result as well)
665 * \param ctx BN_CTX object (optional)
666 * \return 1 on success and 0 if an error occurred
668 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
670 /** Checks whether the point is the neutral element of the group
671 * \param group the underlying EC_GROUP object
672 * \param p EC_POINT object
673 * \return 1 if the point is the neutral element and 0 otherwise
675 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
677 /** Checks whether the point is on the curve
678 * \param group underlying EC_GROUP object
679 * \param point EC_POINT object to check
680 * \param ctx BN_CTX object (optional)
681 * \return 1 if point if on the curve and 0 otherwise
683 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
686 /** Compares two EC_POINTs
687 * \param group underlying EC_GROUP object
688 * \param a first EC_POINT object
689 * \param b second EC_POINT object
690 * \param ctx BN_CTX object (optional)
691 * \return 0 if both points are equal and a value != 0 otherwise
693 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
696 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
697 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
698 EC_POINT *points[], BN_CTX *ctx);
700 /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
701 * \param group underlying EC_GROUP object
702 * \param r EC_POINT object for the result
703 * \param n BIGNUM with the multiplier for the group generator (optional)
704 * \param num number futher summands
705 * \param p array of size num of EC_POINT objects
706 * \param m array of size num of BIGNUM objects
707 * \param ctx BN_CTX object (optional)
708 * \return 1 on success and 0 if an error occurred
710 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
711 size_t num, const EC_POINT *p[], const BIGNUM *m[],
714 /** Computes r = generator * n + q * m
715 * \param group underlying EC_GROUP object
716 * \param r EC_POINT object for the result
717 * \param n BIGNUM with the multiplier for the group generator (optional)
718 * \param q EC_POINT object with the first factor of the second summand
719 * \param m BIGNUM with the second factor of the second summand
720 * \param ctx BN_CTX object (optional)
721 * \return 1 on success and 0 if an error occurred
723 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
724 const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
726 /** Stores multiples of generator for faster point multiplication
727 * \param group EC_GROUP object
728 * \param ctx BN_CTX object (optional)
729 * \return 1 on success and 0 if an error occurred
731 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
733 /** Reports whether a precomputation has been done
734 * \param group EC_GROUP object
735 * \return 1 if a pre-computation has been done and 0 otherwise
737 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
739 /********************************************************************/
741 /********************************************************************/
744 * EC_GROUP_get_basis_type() returns the NID of the basis type used to
745 * represent the field elements
747 int EC_GROUP_get_basis_type(const EC_GROUP *);
748 # ifndef OPENSSL_NO_EC2M
749 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
750 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
751 unsigned int *k2, unsigned int *k3);
754 # define OPENSSL_EC_EXPLICIT_CURVE 0x000
755 # define OPENSSL_EC_NAMED_CURVE 0x001
757 typedef struct ecpk_parameters_st ECPKPARAMETERS;
759 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
760 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
762 # define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
763 # define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
764 # define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
765 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
766 # define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
767 (unsigned char *)(x))
769 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
770 # ifndef OPENSSL_NO_STDIO
771 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
774 /********************************************************************/
775 /* EC_KEY functions */
776 /********************************************************************/
778 /* some values for the encoding_flag */
779 # define EC_PKEY_NO_PARAMETERS 0x001
780 # define EC_PKEY_NO_PUBKEY 0x002
782 /* some values for the flags field */
783 # define EC_FLAG_NON_FIPS_ALLOW 0x1
784 # define EC_FLAG_FIPS_CHECKED 0x2
785 # define EC_FLAG_COFACTOR_ECDH 0x1000
787 /** Creates a new EC_KEY object.
788 * \return EC_KEY object or NULL if an error occurred.
790 EC_KEY *EC_KEY_new(void);
792 int EC_KEY_get_flags(const EC_KEY *key);
794 void EC_KEY_set_flags(EC_KEY *key, int flags);
796 void EC_KEY_clear_flags(EC_KEY *key, int flags);
798 /** Creates a new EC_KEY object using a named curve as underlying
800 * \param nid NID of the named curve.
801 * \return EC_KEY object or NULL if an error occurred.
803 EC_KEY *EC_KEY_new_by_curve_name(int nid);
805 /** Frees a EC_KEY object.
806 * \param key EC_KEY object to be freed.
808 void EC_KEY_free(EC_KEY *key);
810 /** Copies a EC_KEY object.
811 * \param dst destination EC_KEY object
812 * \param src src EC_KEY object
813 * \return dst or NULL if an error occurred.
815 EC_KEY *EC_KEY_copy(EC_KEY *dst, EC_KEY *src);
817 /** Creates a new EC_KEY object and copies the content from src to it.
818 * \param src the source EC_KEY object
819 * \return newly created EC_KEY object or NULL if an error occurred.
821 EC_KEY *EC_KEY_dup(EC_KEY *src);
823 /** Increases the internal reference count of a EC_KEY object.
824 * \param key EC_KEY object
825 * \return 1 on success and 0 if an error occurred.
827 int EC_KEY_up_ref(EC_KEY *key);
829 /** Returns the EC_GROUP object of a EC_KEY object
830 * \param key EC_KEY object
831 * \return the EC_GROUP object (possibly NULL).
833 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
835 /** Sets the EC_GROUP of a EC_KEY object.
836 * \param key EC_KEY object
837 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
838 * object will use an own copy of the EC_GROUP).
839 * \return 1 on success and 0 if an error occurred.
841 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
843 /** Returns the private key of a EC_KEY object.
844 * \param key EC_KEY object
845 * \return a BIGNUM with the private key (possibly NULL).
847 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
849 /** Sets the private key of a EC_KEY object.
850 * \param key EC_KEY object
851 * \param prv BIGNUM with the private key (note: the EC_KEY object
852 * will use an own copy of the BIGNUM).
853 * \return 1 on success and 0 if an error occurred.
855 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
857 /** Returns the public key of a EC_KEY object.
858 * \param key the EC_KEY object
859 * \return a EC_POINT object with the public key (possibly NULL)
861 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
863 /** Sets the public key of a EC_KEY object.
864 * \param key EC_KEY object
865 * \param pub EC_POINT object with the public key (note: the EC_KEY object
866 * will use an own copy of the EC_POINT object).
867 * \return 1 on success and 0 if an error occurred.
869 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
871 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
872 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
873 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
874 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
876 #define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
877 CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
878 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
879 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
881 /* wrapper functions for the underlying EC_GROUP object */
882 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
884 /** Creates a table of pre-computed multiples of the generator to
885 * accelerate further EC_KEY operations.
886 * \param key EC_KEY object
887 * \param ctx BN_CTX object (optional)
888 * \return 1 on success and 0 if an error occurred.
890 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
892 /** Creates a new ec private (and optional a new public) key.
893 * \param key EC_KEY object
894 * \return 1 on success and 0 if an error occurred.
896 int EC_KEY_generate_key(EC_KEY *key);
898 /** Verifies that a private and/or public key is valid.
899 * \param key the EC_KEY object
900 * \return 1 on success and 0 otherwise.
902 int EC_KEY_check_key(const EC_KEY *key);
904 /** Sets a public key from affine coordindates performing
905 * necessary NIST PKV tests.
906 * \param key the EC_KEY object
907 * \param x public key x coordinate
908 * \param y public key y coordinate
909 * \return 1 on success and 0 otherwise.
911 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
914 /** Encodes an EC_KEY public key to an allocated octet string
915 * \param key key to encode
916 * \param form point conversion form
917 * \param pbuf returns pointer to allocated buffer
918 * \param len length of the memory buffer
919 * \param ctx BN_CTX object (optional)
920 * \return the length of the encoded octet string or 0 if an error occurred
923 size_t EC_KEY_key2buf(const EC_KEY *key, point_conversion_form_t form,
924 unsigned char **pbuf, BN_CTX *ctx);
926 /** Decodes a EC_KEY public key from a octet string
927 * \param key key to decode
928 * \param buf memory buffer with the encoded ec point
929 * \param len length of the encoded ec point
930 * \param ctx BN_CTX object (optional)
931 * \return 1 on success and 0 if an error occurred
934 int EC_KEY_oct2key(EC_KEY *key, const unsigned char *buf, size_t len,
937 /** Decodes an EC_KEY private key from an octet string
938 * \param key key to decode
939 * \param buf memory buffer with the encoded private key
940 * \param len length of the encoded key
941 * \return 1 on success and 0 if an error occurred
944 int EC_KEY_oct2priv(EC_KEY *key, unsigned char *buf, size_t len);
946 /** Encodes a EC_KEY private key to an octet string
947 * \param key key to encode
948 * \param buf memory buffer for the result. If NULL the function returns
949 * required buffer size.
950 * \param len length of the memory buffer
951 * \return the length of the encoded octet string or 0 if an error occurred
954 size_t EC_KEY_priv2oct(const EC_KEY *key, unsigned char *buf, size_t len);
956 /** Encodes an EC_KEY private key to an allocated octet string
957 * \param key key to encode
958 * \param pbuf returns pointer to allocated buffer
959 * \return the length of the encoded octet string or 0 if an error occurred
962 size_t EC_KEY_priv2buf(const EC_KEY *eckey, unsigned char **pbuf);
964 /********************************************************************/
965 /* de- and encoding functions for SEC1 ECPrivateKey */
966 /********************************************************************/
968 /** Decodes a private key from a memory buffer.
969 * \param key a pointer to a EC_KEY object which should be used (or NULL)
970 * \param in pointer to memory with the DER encoded private key
971 * \param len length of the DER encoded private key
972 * \return the decoded private key or NULL if an error occurred.
974 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
976 /** Encodes a private key object and stores the result in a buffer.
977 * \param key the EC_KEY object to encode
978 * \param out the buffer for the result (if NULL the function returns number
980 * \return 1 on success and 0 if an error occurred.
982 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
984 /********************************************************************/
985 /* de- and encoding functions for EC parameters */
986 /********************************************************************/
988 /** Decodes ec parameter from a memory buffer.
989 * \param key a pointer to a EC_KEY object which should be used (or NULL)
990 * \param in pointer to memory with the DER encoded ec parameters
991 * \param len length of the DER encoded ec parameters
992 * \return a EC_KEY object with the decoded parameters or NULL if an error
995 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
997 /** Encodes ec parameter and stores the result in a buffer.
998 * \param key the EC_KEY object with ec parameters to encode
999 * \param out the buffer for the result (if NULL the function returns number
1001 * \return 1 on success and 0 if an error occurred.
1003 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
1005 /********************************************************************/
1006 /* de- and encoding functions for EC public key */
1007 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
1008 /********************************************************************/
1010 /** Decodes a ec public key from a octet string.
1011 * \param key a pointer to a EC_KEY object which should be used
1012 * \param in memory buffer with the encoded public key
1013 * \param len length of the encoded public key
1014 * \return EC_KEY object with decoded public key or NULL if an error
1017 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
1019 /** Encodes a ec public key in an octet string.
1020 * \param key the EC_KEY object with the public key
1021 * \param out the buffer for the result (if NULL the function returns number
1023 * \return 1 on success and 0 if an error occurred
1025 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
1027 /** Prints out the ec parameters on human readable form.
1028 * \param bp BIO object to which the information is printed
1029 * \param key EC_KEY object
1030 * \return 1 on success and 0 if an error occurred
1032 int ECParameters_print(BIO *bp, const EC_KEY *key);
1034 /** Prints out the contents of a EC_KEY object
1035 * \param bp BIO object to which the information is printed
1036 * \param key EC_KEY object
1037 * \param off line offset
1038 * \return 1 on success and 0 if an error occurred
1040 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
1042 # ifndef OPENSSL_NO_STDIO
1043 /** Prints out the ec parameters on human readable form.
1044 * \param fp file descriptor to which the information is printed
1045 * \param key EC_KEY object
1046 * \return 1 on success and 0 if an error occurred
1048 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
1050 /** Prints out the contents of a EC_KEY object
1051 * \param fp file descriptor to which the information is printed
1052 * \param key EC_KEY object
1053 * \param off line offset
1054 * \return 1 on success and 0 if an error occurred
1056 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
1060 const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
1061 const EC_KEY_METHOD *EC_KEY_get_default_method(void);
1062 void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
1063 const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
1064 int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
1065 EC_KEY *EC_KEY_new_method(ENGINE *engine);
1067 int ECDH_KDF_X9_62(unsigned char *out, size_t outlen,
1068 const unsigned char *Z, size_t Zlen,
1069 const unsigned char *sinfo, size_t sinfolen,
1072 int ECDH_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
1074 void *(*KDF) (const void *in, size_t inlen,
1075 void *out, size_t *outlen));
1077 typedef struct ECDSA_SIG_st ECDSA_SIG;
1079 /** Allocates and initialize a ECDSA_SIG structure
1080 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1082 ECDSA_SIG *ECDSA_SIG_new(void);
1084 /** frees a ECDSA_SIG structure
1085 * \param sig pointer to the ECDSA_SIG structure
1087 void ECDSA_SIG_free(ECDSA_SIG *sig);
1089 /** DER encode content of ECDSA_SIG object (note: this function modifies *pp
1090 * (*pp += length of the DER encoded signature)).
1091 * \param sig pointer to the ECDSA_SIG object
1092 * \param pp pointer to a unsigned char pointer for the output or NULL
1093 * \return the length of the DER encoded ECDSA_SIG object or 0
1095 int i2d_ECDSA_SIG(const ECDSA_SIG *sig, unsigned char **pp);
1097 /** Decodes a DER encoded ECDSA signature (note: this function changes *pp
1099 * \param sig pointer to ECDSA_SIG pointer (may be NULL)
1100 * \param pp memory buffer with the DER encoded signature
1101 * \param len length of the buffer
1102 * \return pointer to the decoded ECDSA_SIG structure (or NULL)
1104 ECDSA_SIG *d2i_ECDSA_SIG(ECDSA_SIG **sig, const unsigned char **pp, long len);
1106 /** Accessor for r and s fields of ECDSA_SIG
1107 * \param sig pointer to ECDSA_SIG pointer
1108 * \param pr pointer to BIGNUM pointer for r (may be NULL)
1109 * \param ps pointer to BIGNUM pointer for s (may be NULL)
1111 void ECDSA_SIG_get0(BIGNUM **pr, BIGNUM **ps, ECDSA_SIG *sig);
1113 /** Computes the ECDSA signature of the given hash value using
1114 * the supplied private key and returns the created signature.
1115 * \param dgst pointer to the hash value
1116 * \param dgst_len length of the hash value
1117 * \param eckey EC_KEY object containing a private EC key
1118 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1120 ECDSA_SIG *ECDSA_do_sign(const unsigned char *dgst, int dgst_len,
1123 /** Computes ECDSA signature of a given hash value using the supplied
1124 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1125 * \param dgst pointer to the hash value to sign
1126 * \param dgstlen length of the hash value
1127 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1128 * \param rp BIGNUM with a pre-computed rp value (optioanl),
1129 * see ECDSA_sign_setup
1130 * \param eckey EC_KEY object containing a private EC key
1131 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1133 ECDSA_SIG *ECDSA_do_sign_ex(const unsigned char *dgst, int dgstlen,
1134 const BIGNUM *kinv, const BIGNUM *rp,
1137 /** Verifies that the supplied signature is a valid ECDSA
1138 * signature of the supplied hash value using the supplied public key.
1139 * \param dgst pointer to the hash value
1140 * \param dgst_len length of the hash value
1141 * \param sig ECDSA_SIG structure
1142 * \param eckey EC_KEY object containing a public EC key
1143 * \return 1 if the signature is valid, 0 if the signature is invalid
1146 int ECDSA_do_verify(const unsigned char *dgst, int dgst_len,
1147 const ECDSA_SIG *sig, EC_KEY *eckey);
1149 /** Precompute parts of the signing operation
1150 * \param eckey EC_KEY object containing a private EC key
1151 * \param ctx BN_CTX object (optional)
1152 * \param kinv BIGNUM pointer for the inverse of k
1153 * \param rp BIGNUM pointer for x coordinate of k * generator
1154 * \return 1 on success and 0 otherwise
1156 int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv, BIGNUM **rp);
1158 /** Computes ECDSA signature of a given hash value using the supplied
1159 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1160 * \param type this parameter is ignored
1161 * \param dgst pointer to the hash value to sign
1162 * \param dgstlen length of the hash value
1163 * \param sig memory for the DER encoded created signature
1164 * \param siglen pointer to the length of the returned signature
1165 * \param eckey EC_KEY object containing a private EC key
1166 * \return 1 on success and 0 otherwise
1168 int ECDSA_sign(int type, const unsigned char *dgst, int dgstlen,
1169 unsigned char *sig, unsigned int *siglen, EC_KEY *eckey);
1171 /** Computes ECDSA signature of a given hash value using the supplied
1172 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1173 * \param type this parameter is ignored
1174 * \param dgst pointer to the hash value to sign
1175 * \param dgstlen length of the hash value
1176 * \param sig buffer to hold the DER encoded signature
1177 * \param siglen pointer to the length of the returned signature
1178 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1179 * \param rp BIGNUM with a pre-computed rp value (optioanl),
1180 * see ECDSA_sign_setup
1181 * \param eckey EC_KEY object containing a private EC key
1182 * \return 1 on success and 0 otherwise
1184 int ECDSA_sign_ex(int type, const unsigned char *dgst, int dgstlen,
1185 unsigned char *sig, unsigned int *siglen,
1186 const BIGNUM *kinv, const BIGNUM *rp, EC_KEY *eckey);
1188 /** Verifies that the given signature is valid ECDSA signature
1189 * of the supplied hash value using the specified public key.
1190 * \param type this parameter is ignored
1191 * \param dgst pointer to the hash value
1192 * \param dgstlen length of the hash value
1193 * \param sig pointer to the DER encoded signature
1194 * \param siglen length of the DER encoded signature
1195 * \param eckey EC_KEY object containing a public EC key
1196 * \return 1 if the signature is valid, 0 if the signature is invalid
1199 int ECDSA_verify(int type, const unsigned char *dgst, int dgstlen,
1200 const unsigned char *sig, int siglen, EC_KEY *eckey);
1202 /** Returns the maximum length of the DER encoded signature
1203 * \param eckey EC_KEY object
1204 * \return numbers of bytes required for the DER encoded signature
1206 int ECDSA_size(const EC_KEY *eckey);
1208 /********************************************************************/
1209 /* EC_KEY_METHOD constructors, destructors, writers and accessors */
1210 /********************************************************************/
1212 EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
1213 void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
1214 void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
1215 int (*init)(EC_KEY *key),
1216 void (*finish)(EC_KEY *key),
1217 int (*copy)(EC_KEY *dest, const EC_KEY *src),
1218 int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
1219 int (*set_private)(EC_KEY *key,
1220 const BIGNUM *priv_key),
1221 int (*set_public)(EC_KEY *key,
1222 const EC_POINT *pub_key));
1224 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
1225 int (*keygen)(EC_KEY *key));
1227 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
1228 int (*ckey)(void *out,
1230 const EC_POINT *pub_key,
1232 void *(*KDF) (const void *in,
1237 void EC_KEY_METHOD_set_sign(EC_KEY_METHOD *meth,
1238 int (*sign)(int type, const unsigned char *dgst,
1239 int dlen, unsigned char *sig,
1240 unsigned int *siglen,
1241 const BIGNUM *kinv, const BIGNUM *r,
1243 int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1244 BIGNUM **kinvp, BIGNUM **rp),
1245 ECDSA_SIG *(*sign_sig)(const unsigned char *dgst,
1247 const BIGNUM *in_kinv,
1251 void EC_KEY_METHOD_set_verify(EC_KEY_METHOD *meth,
1252 int (*verify)(int type, const unsigned
1253 char *dgst, int dgst_len,
1254 const unsigned char *sigbuf,
1255 int sig_len, EC_KEY *eckey),
1256 int (*verify_sig)(const unsigned char *dgst,
1258 const ECDSA_SIG *sig,
1261 void EC_KEY_METHOD_get_init(EC_KEY_METHOD *meth,
1262 int (**pinit)(EC_KEY *key),
1263 void (**pfinish)(EC_KEY *key),
1264 int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
1265 int (**pset_group)(EC_KEY *key,
1266 const EC_GROUP *grp),
1267 int (**pset_private)(EC_KEY *key,
1268 const BIGNUM *priv_key),
1269 int (**pset_public)(EC_KEY *key,
1270 const EC_POINT *pub_key));
1272 void EC_KEY_METHOD_get_keygen(EC_KEY_METHOD *meth,
1273 int (**pkeygen)(EC_KEY *key));
1275 void EC_KEY_METHOD_get_compute_key(EC_KEY_METHOD *meth,
1276 int (**pck)(void *out,
1278 const EC_POINT *pub_key,
1280 void *(*KDF) (const void *in,
1285 void EC_KEY_METHOD_get_sign(EC_KEY_METHOD *meth,
1286 int (**psign)(int type, const unsigned char *dgst,
1287 int dlen, unsigned char *sig,
1288 unsigned int *siglen,
1289 const BIGNUM *kinv, const BIGNUM *r,
1291 int (**psign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1292 BIGNUM **kinvp, BIGNUM **rp),
1293 ECDSA_SIG *(**psign_sig)(const unsigned char *dgst,
1295 const BIGNUM *in_kinv,
1299 void EC_KEY_METHOD_get_verify(EC_KEY_METHOD *meth,
1300 int (**pverify)(int type, const unsigned
1301 char *dgst, int dgst_len,
1302 const unsigned char *sigbuf,
1303 int sig_len, EC_KEY *eckey),
1304 int (**pverify_sig)(const unsigned char *dgst,
1306 const ECDSA_SIG *sig,
1309 # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
1311 # ifndef __cplusplus
1312 # if defined(__SUNPRO_C)
1313 # if __SUNPRO_C >= 0x520
1314 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
1319 # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
1320 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1321 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1322 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1324 # define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1325 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1326 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1327 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1329 # define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1330 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1331 EVP_PKEY_OP_DERIVE, \
1332 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1334 # define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1335 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1336 EVP_PKEY_OP_DERIVE, \
1337 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1339 # define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1340 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1341 EVP_PKEY_OP_DERIVE, \
1342 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1344 # define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1345 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1346 EVP_PKEY_OP_DERIVE, \
1347 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1349 # define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1350 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1351 EVP_PKEY_OP_DERIVE, \
1352 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
1354 # define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1355 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1356 EVP_PKEY_OP_DERIVE, \
1357 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
1359 # define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1360 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1361 EVP_PKEY_OP_DERIVE, \
1362 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1364 # define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1365 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1366 EVP_PKEY_OP_DERIVE, \
1367 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
1369 # define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1370 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1371 EVP_PKEY_OP_DERIVE, \
1372 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
1374 # define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1375 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1376 EVP_PKEY_OP_DERIVE, \
1377 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
1379 # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
1380 # define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
1381 # define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
1382 # define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
1383 # define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
1384 # define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
1385 # define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
1386 # define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
1387 # define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
1388 # define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
1390 # define EVP_PKEY_ECDH_KDF_NONE 1
1391 # define EVP_PKEY_ECDH_KDF_X9_62 2
1393 /* BEGIN ERROR CODES */
1395 * The following lines are auto generated by the script mkerr.pl. Any changes
1396 * made after this point may be overwritten when the script is next run.
1398 void ERR_load_EC_strings(void);
1400 /* Error codes for the EC functions. */
1402 /* Function codes. */
1403 # define EC_F_BN_TO_FELEM 224
1404 # define EC_F_COMPUTE_WNAF 143
1405 # define EC_F_D2I_ECPARAMETERS 144
1406 # define EC_F_D2I_ECPKPARAMETERS 145
1407 # define EC_F_D2I_ECPRIVATEKEY 146
1408 # define EC_F_DO_EC_KEY_PRINT 221
1409 # define EC_F_ECDH_CMS_DECRYPT 238
1410 # define EC_F_ECDH_CMS_SET_SHARED_INFO 239
1411 # define EC_F_ECDH_COMPUTE_KEY 246
1412 # define EC_F_ECDSA_DO_SIGN_EX 251
1413 # define EC_F_ECDSA_DO_VERIFY 252
1414 # define EC_F_ECDSA_SIGN_EX 254
1415 # define EC_F_ECDSA_SIGN_SETUP 248
1416 # define EC_F_ECDSA_VERIFY 253
1417 # define EC_F_ECKEY_PARAM2TYPE 223
1418 # define EC_F_ECKEY_PARAM_DECODE 212
1419 # define EC_F_ECKEY_PRIV_DECODE 213
1420 # define EC_F_ECKEY_PRIV_ENCODE 214
1421 # define EC_F_ECKEY_PUB_DECODE 215
1422 # define EC_F_ECKEY_PUB_ENCODE 216
1423 # define EC_F_ECKEY_TYPE2PARAM 220
1424 # define EC_F_ECPARAMETERS_PRINT 147
1425 # define EC_F_ECPARAMETERS_PRINT_FP 148
1426 # define EC_F_ECPKPARAMETERS_PRINT 149
1427 # define EC_F_ECPKPARAMETERS_PRINT_FP 150
1428 # define EC_F_ECP_NISTZ256_GET_AFFINE 240
1429 # define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE 243
1430 # define EC_F_ECP_NISTZ256_POINTS_MUL 241
1431 # define EC_F_ECP_NISTZ256_PRE_COMP_NEW 244
1432 # define EC_F_ECP_NISTZ256_WINDOWED_MUL 242
1433 # define EC_F_ECP_NIST_MOD_192 203
1434 # define EC_F_ECP_NIST_MOD_224 204
1435 # define EC_F_ECP_NIST_MOD_256 205
1436 # define EC_F_ECP_NIST_MOD_521 206
1437 # define EC_F_EC_ASN1_GROUP2CURVE 153
1438 # define EC_F_EC_ASN1_GROUP2FIELDID 154
1439 # define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1440 # define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1441 # define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1442 # define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1443 # define EC_F_EC_EX_DATA_SET_DATA 211
1444 # define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1445 # define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1446 # define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1447 # define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1448 # define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1449 # define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1450 # define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1451 # define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1452 # define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1453 # define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1454 # define EC_F_EC_GFP_MONT_FIELD_MUL 131
1455 # define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1456 # define EC_F_EC_GFP_MONT_FIELD_SQR 132
1457 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1458 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1459 # define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1460 # define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1461 # define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1462 # define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1463 # define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1464 # define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1465 # define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1466 # define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1467 # define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1468 # define EC_F_EC_GFP_NIST_FIELD_MUL 200
1469 # define EC_F_EC_GFP_NIST_FIELD_SQR 201
1470 # define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1471 # define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1472 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1473 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1474 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1475 # define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1476 # define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1477 # define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1478 # define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1479 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1480 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1481 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1482 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1483 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1484 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1485 # define EC_F_EC_GROUP_CHECK 170
1486 # define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1487 # define EC_F_EC_GROUP_COPY 106
1488 # define EC_F_EC_GROUP_GET0_GENERATOR 139
1489 # define EC_F_EC_GROUP_GET_COFACTOR 140
1490 # define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1491 # define EC_F_EC_GROUP_GET_CURVE_GFP 130
1492 # define EC_F_EC_GROUP_GET_DEGREE 173
1493 # define EC_F_EC_GROUP_GET_ORDER 141
1494 # define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1495 # define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1496 # define EC_F_EC_GROUP_NEW 108
1497 # define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1498 # define EC_F_EC_GROUP_NEW_FROM_DATA 175
1499 # define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1500 # define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1501 # define EC_F_EC_GROUP_SET_CURVE_GFP 109
1502 # define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1503 # define EC_F_EC_GROUP_SET_GENERATOR 111
1504 # define EC_F_EC_KEY_CHECK_KEY 177
1505 # define EC_F_EC_KEY_COPY 178
1506 # define EC_F_EC_KEY_GENERATE_KEY 179
1507 # define EC_F_EC_KEY_NEW 182
1508 # define EC_F_EC_KEY_NEW_METHOD 245
1509 # define EC_F_EC_KEY_OCT2PRIV 255
1510 # define EC_F_EC_KEY_PRINT 180
1511 # define EC_F_EC_KEY_PRINT_FP 181
1512 # define EC_F_EC_KEY_PRIV2OCT 256
1513 # define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1514 # define EC_F_EC_POINTS_MAKE_AFFINE 136
1515 # define EC_F_EC_POINT_ADD 112
1516 # define EC_F_EC_POINT_CMP 113
1517 # define EC_F_EC_POINT_COPY 114
1518 # define EC_F_EC_POINT_DBL 115
1519 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1520 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1521 # define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1522 # define EC_F_EC_POINT_INVERT 210
1523 # define EC_F_EC_POINT_IS_AT_INFINITY 118
1524 # define EC_F_EC_POINT_IS_ON_CURVE 119
1525 # define EC_F_EC_POINT_MAKE_AFFINE 120
1526 # define EC_F_EC_POINT_MUL 184
1527 # define EC_F_EC_POINT_NEW 121
1528 # define EC_F_EC_POINT_OCT2POINT 122
1529 # define EC_F_EC_POINT_POINT2OCT 123
1530 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1531 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1532 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1533 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1534 # define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1535 # define EC_F_EC_POINT_SET_TO_INFINITY 127
1536 # define EC_F_EC_PRE_COMP_DUP 207
1537 # define EC_F_EC_PRE_COMP_NEW 196
1538 # define EC_F_EC_WNAF_MUL 187
1539 # define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1540 # define EC_F_I2D_ECPARAMETERS 190
1541 # define EC_F_I2D_ECPKPARAMETERS 191
1542 # define EC_F_I2D_ECPRIVATEKEY 192
1543 # define EC_F_I2O_ECPUBLICKEY 151
1544 # define EC_F_NISTP224_PRE_COMP_NEW 227
1545 # define EC_F_NISTP256_PRE_COMP_NEW 236
1546 # define EC_F_NISTP521_PRE_COMP_NEW 237
1547 # define EC_F_O2I_ECPUBLICKEY 152
1548 # define EC_F_OLD_EC_PRIV_DECODE 222
1549 # define EC_F_OSSL_ECDH_COMPUTE_KEY 247
1550 # define EC_F_OSSL_ECDSA_SIGN_SIG 249
1551 # define EC_F_OSSL_ECDSA_VERIFY_SIG 250
1552 # define EC_F_PKEY_EC_CTRL 197
1553 # define EC_F_PKEY_EC_CTRL_STR 198
1554 # define EC_F_PKEY_EC_DERIVE 217
1555 # define EC_F_PKEY_EC_KEYGEN 199
1556 # define EC_F_PKEY_EC_PARAMGEN 219
1557 # define EC_F_PKEY_EC_SIGN 218
1560 # define EC_R_ASN1_ERROR 115
1561 # define EC_R_ASN1_UNKNOWN_FIELD 116
1562 # define EC_R_BAD_SIGNATURE 156
1563 # define EC_R_BIGNUM_OUT_OF_RANGE 144
1564 # define EC_R_BUFFER_TOO_SMALL 100
1565 # define EC_R_COORDINATES_OUT_OF_RANGE 146
1566 # define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1567 # define EC_R_DECODE_ERROR 142
1568 # define EC_R_DISCRIMINANT_IS_ZERO 118
1569 # define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1570 # define EC_R_FIELD_TOO_LARGE 143
1571 # define EC_R_GF2M_NOT_SUPPORTED 147
1572 # define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1573 # define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1574 # define EC_R_INCOMPATIBLE_OBJECTS 101
1575 # define EC_R_INVALID_ARGUMENT 112
1576 # define EC_R_INVALID_COMPRESSED_POINT 110
1577 # define EC_R_INVALID_COMPRESSION_BIT 109
1578 # define EC_R_INVALID_CURVE 141
1579 # define EC_R_INVALID_DIGEST 151
1580 # define EC_R_INVALID_DIGEST_TYPE 138
1581 # define EC_R_INVALID_ENCODING 102
1582 # define EC_R_INVALID_FIELD 103
1583 # define EC_R_INVALID_FORM 104
1584 # define EC_R_INVALID_GROUP_ORDER 122
1585 # define EC_R_INVALID_PENTANOMIAL_BASIS 132
1586 # define EC_R_INVALID_PRIVATE_KEY 123
1587 # define EC_R_INVALID_TRINOMIAL_BASIS 137
1588 # define EC_R_KDF_FAILED 153
1589 # define EC_R_KDF_PARAMETER_ERROR 148
1590 # define EC_R_KEYS_NOT_SET 140
1591 # define EC_R_MISSING_PARAMETERS 124
1592 # define EC_R_MISSING_PRIVATE_KEY 125
1593 # define EC_R_NEED_NEW_SETUP_VALUES 157
1594 # define EC_R_NOT_A_NIST_PRIME 135
1595 # define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1596 # define EC_R_NOT_IMPLEMENTED 126
1597 # define EC_R_NOT_INITIALIZED 111
1598 # define EC_R_NO_FIELD_MOD 133
1599 # define EC_R_NO_PARAMETERS_SET 139
1600 # define EC_R_NO_PRIVATE_VALUE 154
1601 # define EC_R_OPERATION_NOT_SUPPORTED 152
1602 # define EC_R_PASSED_NULL_PARAMETER 134
1603 # define EC_R_PEER_KEY_ERROR 149
1604 # define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1605 # define EC_R_POINT_ARITHMETIC_FAILURE 155
1606 # define EC_R_POINT_AT_INFINITY 106
1607 # define EC_R_POINT_IS_NOT_ON_CURVE 107
1608 # define EC_R_RANDOM_NUMBER_GENERATION_FAILED 158
1609 # define EC_R_SHARED_INFO_ERROR 150
1610 # define EC_R_SLOT_FULL 108
1611 # define EC_R_UNDEFINED_GENERATOR 113
1612 # define EC_R_UNDEFINED_ORDER 128
1613 # define EC_R_UNKNOWN_GROUP 129
1614 # define EC_R_UNKNOWN_ORDER 114
1615 # define EC_R_UNSUPPORTED_FIELD 131
1616 # define EC_R_WRONG_CURVE_PARAMETERS 145
1617 # define EC_R_WRONG_ORDER 130