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 # ifdef OPENSSL_USE_DEPRECATED
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 cofactor of a EC_GROUP
261 * \param group EC_GROUP object
262 * \param cofactor BIGNUM to which the cofactor is copied
263 * \param ctx BN_CTX object (optional)
264 * \return 1 on success and 0 if an error occurred
266 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
,
269 /** Sets the name of a EC_GROUP object
270 * \param group EC_GROUP object
271 * \param nid NID of the curve name OID
273 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
);
275 /** Returns the curve name of a EC_GROUP object
276 * \param group EC_GROUP object
277 * \return NID of the curve name OID or 0 if not set.
279 int EC_GROUP_get_curve_name(const EC_GROUP
*group
);
281 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
);
282 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
);
284 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
285 point_conversion_form_t form
);
286 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
*);
288 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*x
);
289 size_t EC_GROUP_get_seed_len(const EC_GROUP
*);
290 size_t EC_GROUP_set_seed(EC_GROUP
*, const unsigned char *, size_t len
);
292 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
293 * \param group EC_GROUP object
294 * \param p BIGNUM with the prime number
295 * \param a BIGNUM with parameter a of the equation
296 * \param b BIGNUM with parameter b of the equation
297 * \param ctx BN_CTX object (optional)
298 * \return 1 on success and 0 if an error occurred
300 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
301 const BIGNUM
*b
, BN_CTX
*ctx
);
303 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
304 * \param group EC_GROUP object
305 * \param p BIGNUM for the prime number
306 * \param a BIGNUM for parameter a of the equation
307 * \param b BIGNUM for parameter b of the equation
308 * \param ctx BN_CTX object (optional)
309 * \return 1 on success and 0 if an error occurred
311 int EC_GROUP_get_curve_GFp(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
312 BIGNUM
*b
, BN_CTX
*ctx
);
314 # ifndef OPENSSL_NO_EC2M
315 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
316 * \param group EC_GROUP object
317 * \param p BIGNUM with the polynomial defining the underlying field
318 * \param a BIGNUM with parameter a of the equation
319 * \param b BIGNUM with parameter b of the equation
320 * \param ctx BN_CTX object (optional)
321 * \return 1 on success and 0 if an error occurred
323 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
324 const BIGNUM
*b
, BN_CTX
*ctx
);
326 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
327 * \param group EC_GROUP object
328 * \param p BIGNUM for the polynomial defining the underlying field
329 * \param a BIGNUM for parameter a of the equation
330 * \param b BIGNUM for parameter b of the equation
331 * \param ctx BN_CTX object (optional)
332 * \return 1 on success and 0 if an error occurred
334 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
335 BIGNUM
*b
, BN_CTX
*ctx
);
337 /** Returns the number of bits needed to represent a field element
338 * \param group EC_GROUP object
339 * \return number of bits needed to represent a field element
341 int EC_GROUP_get_degree(const EC_GROUP
*group
);
343 /** Checks whether the parameter in the EC_GROUP define a valid ec group
344 * \param group EC_GROUP object
345 * \param ctx BN_CTX object (optional)
346 * \return 1 if group is a valid ec group and 0 otherwise
348 int EC_GROUP_check(const EC_GROUP
*group
, BN_CTX
*ctx
);
350 /** Checks whether the discriminant of the elliptic curve is zero or not
351 * \param group EC_GROUP object
352 * \param ctx BN_CTX object (optional)
353 * \return 1 if the discriminant is not zero and 0 otherwise
355 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
);
357 /** Compares two EC_GROUP objects
358 * \param a first EC_GROUP object
359 * \param b second EC_GROUP object
360 * \param ctx BN_CTX object (optional)
361 * \return 0 if both groups are equal and 1 otherwise
363 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
);
366 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
367 * choosing an appropriate EC_METHOD
370 /** Creates a new EC_GROUP object with the specified parameters defined
371 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
372 * \param p BIGNUM with the prime number
373 * \param a BIGNUM with the parameter a of the equation
374 * \param b BIGNUM with the parameter b of the equation
375 * \param ctx BN_CTX object (optional)
376 * \return newly created EC_GROUP object with the specified parameters
378 EC_GROUP
*EC_GROUP_new_curve_GFp(const BIGNUM
*p
, const BIGNUM
*a
,
379 const BIGNUM
*b
, BN_CTX
*ctx
);
380 # ifndef OPENSSL_NO_EC2M
381 /** Creates a new EC_GROUP object with the specified parameters defined
382 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
383 * \param p BIGNUM with the polynomial defining the underlying field
384 * \param a BIGNUM with the parameter a of the equation
385 * \param b BIGNUM with the parameter b of the equation
386 * \param ctx BN_CTX object (optional)
387 * \return newly created EC_GROUP object with the specified parameters
389 EC_GROUP
*EC_GROUP_new_curve_GF2m(const BIGNUM
*p
, const BIGNUM
*a
,
390 const BIGNUM
*b
, BN_CTX
*ctx
);
392 /** Creates a EC_GROUP object with a curve specified by a NID
393 * \param nid NID of the OID of the curve name
394 * \return newly created EC_GROUP object with specified curve or NULL
395 * if an error occurred
397 EC_GROUP
*EC_GROUP_new_by_curve_name(int nid
);
399 /********************************************************************/
400 /* handling of internal curves */
401 /********************************************************************/
409 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
410 * available curves or zero if a error occurred. In case r ist not zero
411 * nitems EC_builtin_curve structures are filled with the data of the first
412 * nitems internal groups
414 size_t EC_get_builtin_curves(EC_builtin_curve
*r
, size_t nitems
);
416 const char *EC_curve_nid2nist(int nid
);
417 int EC_curve_nist2nid(const char *name
);
419 /********************************************************************/
420 /* EC_POINT functions */
421 /********************************************************************/
423 /** Creates a new EC_POINT object for the specified EC_GROUP
424 * \param group EC_GROUP the underlying EC_GROUP object
425 * \return newly created EC_POINT object or NULL if an error occurred
427 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
);
429 /** Frees a EC_POINT object
430 * \param point EC_POINT object to be freed
432 void EC_POINT_free(EC_POINT
*point
);
434 /** Clears and frees a EC_POINT object
435 * \param point EC_POINT object to be cleared and freed
437 void EC_POINT_clear_free(EC_POINT
*point
);
439 /** Copies EC_POINT object
440 * \param dst destination EC_POINT object
441 * \param src source EC_POINT object
442 * \return 1 on success and 0 if an error occurred
444 int EC_POINT_copy(EC_POINT
*dst
, const EC_POINT
*src
);
446 /** Creates a new EC_POINT object and copies the content of the supplied
448 * \param src source EC_POINT object
449 * \param group underlying the EC_GROUP object
450 * \return newly created EC_POINT object or NULL if an error occurred
452 EC_POINT
*EC_POINT_dup(const EC_POINT
*src
, const EC_GROUP
*group
);
454 /** Returns the EC_METHOD used in EC_POINT object
455 * \param point EC_POINT object
456 * \return the EC_METHOD used
458 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
);
460 /** Sets a point to infinity (neutral element)
461 * \param group underlying EC_GROUP object
462 * \param point EC_POINT to set to infinity
463 * \return 1 on success and 0 if an error occurred
465 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
);
467 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
468 * \param group underlying EC_GROUP object
469 * \param p EC_POINT object
470 * \param x BIGNUM with the x-coordinate
471 * \param y BIGNUM with the y-coordinate
472 * \param z BIGNUM with the z-coordinate
473 * \param ctx BN_CTX object (optional)
474 * \return 1 on success and 0 if an error occurred
476 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
477 EC_POINT
*p
, const BIGNUM
*x
,
478 const BIGNUM
*y
, const BIGNUM
*z
,
481 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
482 * \param group underlying EC_GROUP object
483 * \param p EC_POINT object
484 * \param x BIGNUM for the x-coordinate
485 * \param y BIGNUM for the y-coordinate
486 * \param z BIGNUM for the z-coordinate
487 * \param ctx BN_CTX object (optional)
488 * \return 1 on success and 0 if an error occurred
490 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
491 const EC_POINT
*p
, BIGNUM
*x
,
492 BIGNUM
*y
, BIGNUM
*z
,
495 /** Sets the affine coordinates of a EC_POINT over GFp
496 * \param group underlying EC_GROUP object
497 * \param p EC_POINT object
498 * \param x BIGNUM with the x-coordinate
499 * \param y BIGNUM with the y-coordinate
500 * \param ctx BN_CTX object (optional)
501 * \return 1 on success and 0 if an error occurred
503 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
, EC_POINT
*p
,
504 const BIGNUM
*x
, const BIGNUM
*y
,
507 /** Gets the affine coordinates of a EC_POINT over GFp
508 * \param group underlying EC_GROUP object
509 * \param p EC_POINT object
510 * \param x BIGNUM for the x-coordinate
511 * \param y BIGNUM for the y-coordinate
512 * \param ctx BN_CTX object (optional)
513 * \return 1 on success and 0 if an error occurred
515 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
,
516 const EC_POINT
*p
, BIGNUM
*x
,
517 BIGNUM
*y
, BN_CTX
*ctx
);
519 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
520 * \param group underlying EC_GROUP object
521 * \param p EC_POINT object
522 * \param x BIGNUM with x-coordinate
523 * \param y_bit integer with the y-Bit (either 0 or 1)
524 * \param ctx BN_CTX object (optional)
525 * \return 1 on success and 0 if an error occurred
527 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP
*group
,
528 EC_POINT
*p
, const BIGNUM
*x
,
529 int y_bit
, BN_CTX
*ctx
);
530 # ifndef OPENSSL_NO_EC2M
531 /** Sets the affine coordinates of a EC_POINT over GF2m
532 * \param group underlying EC_GROUP object
533 * \param p EC_POINT object
534 * \param x BIGNUM with the x-coordinate
535 * \param y BIGNUM with the y-coordinate
536 * \param ctx BN_CTX object (optional)
537 * \return 1 on success and 0 if an error occurred
539 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
, EC_POINT
*p
,
540 const BIGNUM
*x
, const BIGNUM
*y
,
543 /** Gets the affine coordinates of a EC_POINT over GF2m
544 * \param group underlying EC_GROUP object
545 * \param p EC_POINT object
546 * \param x BIGNUM for the x-coordinate
547 * \param y BIGNUM for the y-coordinate
548 * \param ctx BN_CTX object (optional)
549 * \return 1 on success and 0 if an error occurred
551 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
,
552 const EC_POINT
*p
, BIGNUM
*x
,
553 BIGNUM
*y
, BN_CTX
*ctx
);
555 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
556 * \param group underlying EC_GROUP object
557 * \param p EC_POINT object
558 * \param x BIGNUM with x-coordinate
559 * \param y_bit integer with the y-Bit (either 0 or 1)
560 * \param ctx BN_CTX object (optional)
561 * \return 1 on success and 0 if an error occurred
563 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP
*group
,
564 EC_POINT
*p
, const BIGNUM
*x
,
565 int y_bit
, BN_CTX
*ctx
);
567 /** Encodes a EC_POINT object to a octet string
568 * \param group underlying EC_GROUP object
569 * \param p EC_POINT object
570 * \param form point conversion form
571 * \param buf memory buffer for the result. If NULL the function returns
572 * required buffer size.
573 * \param len length of the memory buffer
574 * \param ctx BN_CTX object (optional)
575 * \return the length of the encoded octet string or 0 if an error occurred
577 size_t EC_POINT_point2oct(const EC_GROUP
*group
, const EC_POINT
*p
,
578 point_conversion_form_t form
,
579 unsigned char *buf
, size_t len
, BN_CTX
*ctx
);
581 /** Decodes a EC_POINT from a octet string
582 * \param group underlying EC_GROUP object
583 * \param p EC_POINT object
584 * \param buf memory buffer with the encoded ec point
585 * \param len length of the encoded ec point
586 * \param ctx BN_CTX object (optional)
587 * \return 1 on success and 0 if an error occurred
589 int EC_POINT_oct2point(const EC_GROUP
*group
, EC_POINT
*p
,
590 const unsigned char *buf
, size_t len
, BN_CTX
*ctx
);
592 /** Encodes an EC_POINT object to an allocated octet string
593 * \param group underlying EC_GROUP object
594 * \param point EC_POINT object
595 * \param form point conversion form
596 * \param pbuf returns pointer to allocated buffer
597 * \param len length of the memory buffer
598 * \param ctx BN_CTX object (optional)
599 * \return the length of the encoded octet string or 0 if an error occurred
602 size_t EC_POINT_point2buf(const EC_GROUP
*group
, const EC_POINT
*point
,
603 point_conversion_form_t form
,
604 unsigned char **pbuf
, BN_CTX
*ctx
);
606 /* other interfaces to point2oct/oct2point: */
607 BIGNUM
*EC_POINT_point2bn(const EC_GROUP
*, const EC_POINT
*,
608 point_conversion_form_t form
, BIGNUM
*, BN_CTX
*);
609 EC_POINT
*EC_POINT_bn2point(const EC_GROUP
*, const BIGNUM
*,
610 EC_POINT
*, BN_CTX
*);
611 char *EC_POINT_point2hex(const EC_GROUP
*, const EC_POINT
*,
612 point_conversion_form_t form
, BN_CTX
*);
613 EC_POINT
*EC_POINT_hex2point(const EC_GROUP
*, const char *,
614 EC_POINT
*, BN_CTX
*);
616 /********************************************************************/
617 /* functions for doing EC_POINT arithmetic */
618 /********************************************************************/
620 /** Computes the sum of two EC_POINT
621 * \param group underlying EC_GROUP object
622 * \param r EC_POINT object for the result (r = a + b)
623 * \param a EC_POINT object with the first summand
624 * \param b EC_POINT object with the second summand
625 * \param ctx BN_CTX object (optional)
626 * \return 1 on success and 0 if an error occurred
628 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
629 const EC_POINT
*b
, BN_CTX
*ctx
);
631 /** Computes the double of a EC_POINT
632 * \param group underlying EC_GROUP object
633 * \param r EC_POINT object for the result (r = 2 * a)
634 * \param a EC_POINT object
635 * \param ctx BN_CTX object (optional)
636 * \return 1 on success and 0 if an error occurred
638 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
641 /** Computes the inverse of a EC_POINT
642 * \param group underlying EC_GROUP object
643 * \param a EC_POINT object to be inverted (it's used for the result as well)
644 * \param ctx BN_CTX object (optional)
645 * \return 1 on success and 0 if an error occurred
647 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
);
649 /** Checks whether the point is the neutral element of the group
650 * \param group the underlying EC_GROUP object
651 * \param p EC_POINT object
652 * \return 1 if the point is the neutral element and 0 otherwise
654 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*p
);
656 /** Checks whether the point is on the curve
657 * \param group underlying EC_GROUP object
658 * \param point EC_POINT object to check
659 * \param ctx BN_CTX object (optional)
660 * \return 1 if point if on the curve and 0 otherwise
662 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
,
665 /** Compares two EC_POINTs
666 * \param group underlying EC_GROUP object
667 * \param a first EC_POINT object
668 * \param b second EC_POINT object
669 * \param ctx BN_CTX object (optional)
670 * \return 0 if both points are equal and a value != 0 otherwise
672 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
,
675 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
);
676 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
,
677 EC_POINT
*points
[], BN_CTX
*ctx
);
679 /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
680 * \param group underlying EC_GROUP object
681 * \param r EC_POINT object for the result
682 * \param n BIGNUM with the multiplier for the group generator (optional)
683 * \param num number futher summands
684 * \param p array of size num of EC_POINT objects
685 * \param m array of size num of BIGNUM objects
686 * \param ctx BN_CTX object (optional)
687 * \return 1 on success and 0 if an error occurred
689 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*n
,
690 size_t num
, const EC_POINT
*p
[], const BIGNUM
*m
[],
693 /** Computes r = generator * n + q * m
694 * \param group underlying EC_GROUP object
695 * \param r EC_POINT object for the result
696 * \param n BIGNUM with the multiplier for the group generator (optional)
697 * \param q EC_POINT object with the first factor of the second summand
698 * \param m BIGNUM with the second factor of the second summand
699 * \param ctx BN_CTX object (optional)
700 * \return 1 on success and 0 if an error occurred
702 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*n
,
703 const EC_POINT
*q
, const BIGNUM
*m
, BN_CTX
*ctx
);
705 /** Stores multiples of generator for faster point multiplication
706 * \param group EC_GROUP object
707 * \param ctx BN_CTX object (optional)
708 * \return 1 on success and 0 if an error occurred
710 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
);
712 /** Reports whether a precomputation has been done
713 * \param group EC_GROUP object
714 * \return 1 if a pre-computation has been done and 0 otherwise
716 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
);
718 /********************************************************************/
720 /********************************************************************/
723 * EC_GROUP_get_basis_type() returns the NID of the basis type used to
724 * represent the field elements
726 int EC_GROUP_get_basis_type(const EC_GROUP
*);
727 # ifndef OPENSSL_NO_EC2M
728 int EC_GROUP_get_trinomial_basis(const EC_GROUP
*, unsigned int *k
);
729 int EC_GROUP_get_pentanomial_basis(const EC_GROUP
*, unsigned int *k1
,
730 unsigned int *k2
, unsigned int *k3
);
733 # define OPENSSL_EC_EXPLICIT_CURVE 0x000
734 # define OPENSSL_EC_NAMED_CURVE 0x001
736 typedef struct ecpk_parameters_st ECPKPARAMETERS
;
738 EC_GROUP
*d2i_ECPKParameters(EC_GROUP
**, const unsigned char **in
, long len
);
739 int i2d_ECPKParameters(const EC_GROUP
*, unsigned char **out
);
741 # define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
742 # define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
743 # define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
744 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
745 # define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
746 (unsigned char *)(x))
748 int ECPKParameters_print(BIO
*bp
, const EC_GROUP
*x
, int off
);
749 # ifndef OPENSSL_NO_STDIO
750 int ECPKParameters_print_fp(FILE *fp
, const EC_GROUP
*x
, int off
);
753 /********************************************************************/
754 /* EC_KEY functions */
755 /********************************************************************/
757 /* some values for the encoding_flag */
758 # define EC_PKEY_NO_PARAMETERS 0x001
759 # define EC_PKEY_NO_PUBKEY 0x002
761 /* some values for the flags field */
762 # define EC_FLAG_NON_FIPS_ALLOW 0x1
763 # define EC_FLAG_FIPS_CHECKED 0x2
764 # define EC_FLAG_COFACTOR_ECDH 0x1000
766 /** Creates a new EC_KEY object.
767 * \return EC_KEY object or NULL if an error occurred.
769 EC_KEY
*EC_KEY_new(void);
771 int EC_KEY_get_flags(const EC_KEY
*key
);
773 void EC_KEY_set_flags(EC_KEY
*key
, int flags
);
775 void EC_KEY_clear_flags(EC_KEY
*key
, int flags
);
777 /** Creates a new EC_KEY object using a named curve as underlying
779 * \param nid NID of the named curve.
780 * \return EC_KEY object or NULL if an error occurred.
782 EC_KEY
*EC_KEY_new_by_curve_name(int nid
);
784 /** Frees a EC_KEY object.
785 * \param key EC_KEY object to be freed.
787 void EC_KEY_free(EC_KEY
*key
);
789 /** Copies a EC_KEY object.
790 * \param dst destination EC_KEY object
791 * \param src src EC_KEY object
792 * \return dst or NULL if an error occurred.
794 EC_KEY
*EC_KEY_copy(EC_KEY
*dst
, const EC_KEY
*src
);
796 /** Creates a new EC_KEY object and copies the content from src to it.
797 * \param src the source EC_KEY object
798 * \return newly created EC_KEY object or NULL if an error occurred.
800 EC_KEY
*EC_KEY_dup(const EC_KEY
*src
);
802 /** Increases the internal reference count of a EC_KEY object.
803 * \param key EC_KEY object
804 * \return 1 on success and 0 if an error occurred.
806 int EC_KEY_up_ref(EC_KEY
*key
);
808 /** Returns the EC_GROUP object of a EC_KEY object
809 * \param key EC_KEY object
810 * \return the EC_GROUP object (possibly NULL).
812 const EC_GROUP
*EC_KEY_get0_group(const EC_KEY
*key
);
814 /** Sets the EC_GROUP of a EC_KEY object.
815 * \param key EC_KEY object
816 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
817 * object will use an own copy of the EC_GROUP).
818 * \return 1 on success and 0 if an error occurred.
820 int EC_KEY_set_group(EC_KEY
*key
, const EC_GROUP
*group
);
822 /** Returns the private key of a EC_KEY object.
823 * \param key EC_KEY object
824 * \return a BIGNUM with the private key (possibly NULL).
826 const BIGNUM
*EC_KEY_get0_private_key(const EC_KEY
*key
);
828 /** Sets the private key of a EC_KEY object.
829 * \param key EC_KEY object
830 * \param prv BIGNUM with the private key (note: the EC_KEY object
831 * will use an own copy of the BIGNUM).
832 * \return 1 on success and 0 if an error occurred.
834 int EC_KEY_set_private_key(EC_KEY
*key
, const BIGNUM
*prv
);
836 /** Returns the public key of a EC_KEY object.
837 * \param key the EC_KEY object
838 * \return a EC_POINT object with the public key (possibly NULL)
840 const EC_POINT
*EC_KEY_get0_public_key(const EC_KEY
*key
);
842 /** Sets the public key of a EC_KEY object.
843 * \param key EC_KEY object
844 * \param pub EC_POINT object with the public key (note: the EC_KEY object
845 * will use an own copy of the EC_POINT object).
846 * \return 1 on success and 0 if an error occurred.
848 int EC_KEY_set_public_key(EC_KEY
*key
, const EC_POINT
*pub
);
850 unsigned EC_KEY_get_enc_flags(const EC_KEY
*key
);
851 void EC_KEY_set_enc_flags(EC_KEY
*eckey
, unsigned int flags
);
852 point_conversion_form_t
EC_KEY_get_conv_form(const EC_KEY
*key
);
853 void EC_KEY_set_conv_form(EC_KEY
*eckey
, point_conversion_form_t cform
);
854 /* functions to set/get method specific data */
855 void *EC_KEY_get_key_method_data(EC_KEY
*key
,
856 void *(*dup_func
) (void *),
857 void (*free_func
) (void *),
858 void (*clear_free_func
) (void *));
859 /** Sets the key method data of an EC_KEY object, if none has yet been set.
860 * \param key EC_KEY object
861 * \param data opaque data to install.
862 * \param dup_func a function that duplicates |data|.
863 * \param free_func a function that frees |data|.
864 * \param clear_free_func a function that wipes and frees |data|.
865 * \return the previously set data pointer, or NULL if |data| was inserted.
867 void *EC_KEY_insert_key_method_data(EC_KEY
*key
, void *data
,
868 void *(*dup_func
) (void *),
869 void (*free_func
) (void *),
870 void (*clear_free_func
) (void *));
871 /* wrapper functions for the underlying EC_GROUP object */
872 void EC_KEY_set_asn1_flag(EC_KEY
*eckey
, int asn1_flag
);
874 /** Creates a table of pre-computed multiples of the generator to
875 * accelerate further EC_KEY operations.
876 * \param key EC_KEY object
877 * \param ctx BN_CTX object (optional)
878 * \return 1 on success and 0 if an error occurred.
880 int EC_KEY_precompute_mult(EC_KEY
*key
, BN_CTX
*ctx
);
882 /** Creates a new ec private (and optional a new public) key.
883 * \param key EC_KEY object
884 * \return 1 on success and 0 if an error occurred.
886 int EC_KEY_generate_key(EC_KEY
*key
);
888 /** Verifies that a private and/or public key is valid.
889 * \param key the EC_KEY object
890 * \return 1 on success and 0 otherwise.
892 int EC_KEY_check_key(const EC_KEY
*key
);
894 /** Sets a public key from affine coordindates performing
895 * necessary NIST PKV tests.
896 * \param key the EC_KEY object
897 * \param x public key x coordinate
898 * \param y public key y coordinate
899 * \return 1 on success and 0 otherwise.
901 int EC_KEY_set_public_key_affine_coordinates(EC_KEY
*key
, BIGNUM
*x
,
904 /** Encodes an EC_KEY public key to an allocated octet string
905 * \param key key to encode
906 * \param form point conversion form
907 * \param pbuf returns pointer to allocated buffer
908 * \param len length of the memory buffer
909 * \param ctx BN_CTX object (optional)
910 * \return the length of the encoded octet string or 0 if an error occurred
913 size_t EC_KEY_key2buf(const EC_KEY
*key
, point_conversion_form_t form
,
914 unsigned char **pbuf
, BN_CTX
*ctx
);
916 /** Decodes a EC_KEY public key from a octet string
917 * \param key key to decode
918 * \param buf memory buffer with the encoded ec point
919 * \param len length of the encoded ec point
920 * \param ctx BN_CTX object (optional)
921 * \return 1 on success and 0 if an error occurred
924 int EC_KEY_oct2key(EC_KEY
*key
, const unsigned char *buf
, size_t len
,
927 /********************************************************************/
928 /* de- and encoding functions for SEC1 ECPrivateKey */
929 /********************************************************************/
931 /** Decodes a private key from a memory buffer.
932 * \param key a pointer to a EC_KEY object which should be used (or NULL)
933 * \param in pointer to memory with the DER encoded private key
934 * \param len length of the DER encoded private key
935 * \return the decoded private key or NULL if an error occurred.
937 EC_KEY
*d2i_ECPrivateKey(EC_KEY
**key
, const unsigned char **in
, long len
);
939 /** Encodes a private key object and stores the result in a buffer.
940 * \param key the EC_KEY object to encode
941 * \param out the buffer for the result (if NULL the function returns number
943 * \return 1 on success and 0 if an error occurred.
945 int i2d_ECPrivateKey(EC_KEY
*key
, unsigned char **out
);
947 /********************************************************************/
948 /* de- and encoding functions for EC parameters */
949 /********************************************************************/
951 /** Decodes ec parameter from a memory buffer.
952 * \param key a pointer to a EC_KEY object which should be used (or NULL)
953 * \param in pointer to memory with the DER encoded ec parameters
954 * \param len length of the DER encoded ec parameters
955 * \return a EC_KEY object with the decoded parameters or NULL if an error
958 EC_KEY
*d2i_ECParameters(EC_KEY
**key
, const unsigned char **in
, long len
);
960 /** Encodes ec parameter and stores the result in a buffer.
961 * \param key the EC_KEY object with ec parameters to encode
962 * \param out the buffer for the result (if NULL the function returns number
964 * \return 1 on success and 0 if an error occurred.
966 int i2d_ECParameters(EC_KEY
*key
, unsigned char **out
);
968 /********************************************************************/
969 /* de- and encoding functions for EC public key */
970 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
971 /********************************************************************/
973 /** Decodes a ec public key from a octet string.
974 * \param key a pointer to a EC_KEY object which should be used
975 * \param in memory buffer with the encoded public key
976 * \param len length of the encoded public key
977 * \return EC_KEY object with decoded public key or NULL if an error
980 EC_KEY
*o2i_ECPublicKey(EC_KEY
**key
, const unsigned char **in
, long len
);
982 /** Encodes a ec public key in an octet string.
983 * \param key the EC_KEY object with the public key
984 * \param out the buffer for the result (if NULL the function returns number
986 * \return 1 on success and 0 if an error occurred
988 int i2o_ECPublicKey(EC_KEY
*key
, unsigned char **out
);
990 /** Prints out the ec parameters on human readable form.
991 * \param bp BIO object to which the information is printed
992 * \param key EC_KEY object
993 * \return 1 on success and 0 if an error occurred
995 int ECParameters_print(BIO
*bp
, const EC_KEY
*key
);
997 /** Prints out the contents of a EC_KEY object
998 * \param bp BIO object to which the information is printed
999 * \param key EC_KEY object
1000 * \param off line offset
1001 * \return 1 on success and 0 if an error occurred
1003 int EC_KEY_print(BIO
*bp
, const EC_KEY
*key
, int off
);
1005 # ifndef OPENSSL_NO_STDIO
1006 /** Prints out the ec parameters on human readable form.
1007 * \param fp file descriptor to which the information is printed
1008 * \param key EC_KEY object
1009 * \return 1 on success and 0 if an error occurred
1011 int ECParameters_print_fp(FILE *fp
, const EC_KEY
*key
);
1013 /** Prints out the contents of a EC_KEY object
1014 * \param fp file descriptor to which the information is printed
1015 * \param key EC_KEY object
1016 * \param off line offset
1017 * \return 1 on success and 0 if an error occurred
1019 int EC_KEY_print_fp(FILE *fp
, const EC_KEY
*key
, int off
);
1023 const EC_KEY_METHOD
*EC_KEY_OpenSSL(void);
1024 const EC_KEY_METHOD
*EC_KEY_get_default_method(void);
1025 void EC_KEY_set_default_method(const EC_KEY_METHOD
*meth
);
1026 EC_KEY
*EC_KEY_new_method(ENGINE
*engine
);
1028 int ECDH_KDF_X9_62(unsigned char *out
, size_t outlen
,
1029 const unsigned char *Z
, size_t Zlen
,
1030 const unsigned char *sinfo
, size_t sinfolen
,
1033 int ECDH_compute_key(void *out
, size_t outlen
, const EC_POINT
*pub_key
,
1034 EC_KEY
*ecdh
, void *(*KDF
) (const void *in
, size_t inlen
,
1035 void *out
, size_t *outlen
));
1037 typedef struct ECDSA_SIG_st ECDSA_SIG
;
1039 /** Allocates and initialize a ECDSA_SIG structure
1040 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1042 ECDSA_SIG
*ECDSA_SIG_new(void);
1044 /** frees a ECDSA_SIG structure
1045 * \param sig pointer to the ECDSA_SIG structure
1047 void ECDSA_SIG_free(ECDSA_SIG
*sig
);
1049 /** DER encode content of ECDSA_SIG object (note: this function modifies *pp
1050 * (*pp += length of the DER encoded signature)).
1051 * \param sig pointer to the ECDSA_SIG object
1052 * \param pp pointer to a unsigned char pointer for the output or NULL
1053 * \return the length of the DER encoded ECDSA_SIG object or 0
1055 int i2d_ECDSA_SIG(const ECDSA_SIG
*sig
, unsigned char **pp
);
1057 /** Decodes a DER encoded ECDSA signature (note: this function changes *pp
1059 * \param sig pointer to ECDSA_SIG pointer (may be NULL)
1060 * \param pp memory buffer with the DER encoded signature
1061 * \param len length of the buffer
1062 * \return pointer to the decoded ECDSA_SIG structure (or NULL)
1064 ECDSA_SIG
*d2i_ECDSA_SIG(ECDSA_SIG
**sig
, const unsigned char **pp
, long len
);
1066 /** Accessor for r and s fields of ECDSA_SIG
1067 * \param sig pointer to ECDSA_SIG pointer
1068 * \param pr pointer to BIGNUM pointer for r (may be NULL)
1069 * \param ps pointer to BIGNUM pointer for s (may be NULL)
1071 void ECDSA_SIG_get0(BIGNUM
**pr
, BIGNUM
**ps
, ECDSA_SIG
*sig
);
1073 /** Computes the ECDSA signature of the given hash value using
1074 * the supplied private key and returns the created signature.
1075 * \param dgst pointer to the hash value
1076 * \param dgst_len length of the hash value
1077 * \param eckey EC_KEY object containing a private EC key
1078 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1080 ECDSA_SIG
*ECDSA_do_sign(const unsigned char *dgst
, int dgst_len
,
1083 /** Computes ECDSA signature of a given hash value using the supplied
1084 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1085 * \param dgst pointer to the hash value to sign
1086 * \param dgstlen length of the hash value
1087 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1088 * \param rp BIGNUM with a pre-computed rp value (optioanl),
1089 * see ECDSA_sign_setup
1090 * \param eckey EC_KEY object containing a private EC key
1091 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1093 ECDSA_SIG
*ECDSA_do_sign_ex(const unsigned char *dgst
, int dgstlen
,
1094 const BIGNUM
*kinv
, const BIGNUM
*rp
,
1097 /** Verifies that the supplied signature is a valid ECDSA
1098 * signature of the supplied hash value using the supplied public key.
1099 * \param dgst pointer to the hash value
1100 * \param dgst_len length of the hash value
1101 * \param sig ECDSA_SIG structure
1102 * \param eckey EC_KEY object containing a public EC key
1103 * \return 1 if the signature is valid, 0 if the signature is invalid
1106 int ECDSA_do_verify(const unsigned char *dgst
, int dgst_len
,
1107 const ECDSA_SIG
*sig
, EC_KEY
*eckey
);
1109 /** Precompute parts of the signing operation
1110 * \param eckey EC_KEY object containing a private EC key
1111 * \param ctx BN_CTX object (optional)
1112 * \param kinv BIGNUM pointer for the inverse of k
1113 * \param rp BIGNUM pointer for x coordinate of k * generator
1114 * \return 1 on success and 0 otherwise
1116 int ECDSA_sign_setup(EC_KEY
*eckey
, BN_CTX
*ctx
, BIGNUM
**kinv
, BIGNUM
**rp
);
1118 /** Computes ECDSA signature of a given hash value using the supplied
1119 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1120 * \param type this parameter is ignored
1121 * \param dgst pointer to the hash value to sign
1122 * \param dgstlen length of the hash value
1123 * \param sig memory for the DER encoded created signature
1124 * \param siglen pointer to the length of the returned signature
1125 * \param eckey EC_KEY object containing a private EC key
1126 * \return 1 on success and 0 otherwise
1128 int ECDSA_sign(int type
, const unsigned char *dgst
, int dgstlen
,
1129 unsigned char *sig
, unsigned int *siglen
, EC_KEY
*eckey
);
1131 /** Computes ECDSA signature of a given hash value using the supplied
1132 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1133 * \param type this parameter is ignored
1134 * \param dgst pointer to the hash value to sign
1135 * \param dgstlen length of the hash value
1136 * \param sig buffer to hold the DER encoded signature
1137 * \param siglen pointer to the length of the returned signature
1138 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1139 * \param rp BIGNUM with a pre-computed rp value (optioanl),
1140 * see ECDSA_sign_setup
1141 * \param eckey EC_KEY object containing a private EC key
1142 * \return 1 on success and 0 otherwise
1144 int ECDSA_sign_ex(int type
, const unsigned char *dgst
, int dgstlen
,
1145 unsigned char *sig
, unsigned int *siglen
,
1146 const BIGNUM
*kinv
, const BIGNUM
*rp
, EC_KEY
*eckey
);
1148 /** Verifies that the given signature is valid ECDSA signature
1149 * of the supplied hash value using the specified public key.
1150 * \param type this parameter is ignored
1151 * \param dgst pointer to the hash value
1152 * \param dgstlen length of the hash value
1153 * \param sig pointer to the DER encoded signature
1154 * \param siglen length of the DER encoded signature
1155 * \param eckey EC_KEY object containing a public EC key
1156 * \return 1 if the signature is valid, 0 if the signature is invalid
1159 int ECDSA_verify(int type
, const unsigned char *dgst
, int dgstlen
,
1160 const unsigned char *sig
, int siglen
, EC_KEY
*eckey
);
1162 /** Returns the maximum length of the DER encoded signature
1163 * \param eckey EC_KEY object
1164 * \return numbers of bytes required for the DER encoded signature
1166 int ECDSA_size(const EC_KEY
*eckey
);
1168 /********************************************************************/
1169 /* EC_KEY_METHOD constructors, destructors, writers and accessors */
1170 /********************************************************************/
1172 EC_KEY_METHOD
*EC_KEY_METHOD_new(const EC_KEY_METHOD
*meth
);
1173 void EC_KEY_METHOD_free(EC_KEY_METHOD
*meth
);
1174 void EC_KEY_METHOD_set_init(EC_KEY_METHOD
*meth
,
1175 int (*init
)(EC_KEY
*key
),
1176 void (*finish
)(EC_KEY
*key
),
1177 int (*copy
)(EC_KEY
*dest
, const EC_KEY
*src
),
1178 int (*set_group
)(EC_KEY
*key
, const EC_GROUP
*grp
),
1179 int (*set_private
)(EC_KEY
*key
,
1180 const BIGNUM
*priv_key
),
1181 int (*set_public
)(EC_KEY
*key
,
1182 const EC_POINT
*pub_key
));
1184 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD
*meth
,
1185 int (*keygen
)(EC_KEY
*key
));
1187 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD
*meth
,
1188 int (*ckey
)(void *out
,
1190 const EC_POINT
*pub_key
,
1192 void *(*KDF
) (const void *in
,
1197 void EC_KEY_METHOD_set_sign(EC_KEY_METHOD
*meth
,
1198 int (*sign
)(int type
, const unsigned char *dgst
,
1199 int dlen
, unsigned char *sig
,
1200 unsigned int *siglen
,
1201 const BIGNUM
*kinv
, const BIGNUM
*r
,
1203 int (*sign_setup
)(EC_KEY
*eckey
, BN_CTX
*ctx_in
,
1204 BIGNUM
**kinvp
, BIGNUM
**rp
),
1205 ECDSA_SIG
*(*sign_sig
)(const unsigned char *dgst
,
1207 const BIGNUM
*in_kinv
,
1211 void EC_KEY_METHOD_set_verify(EC_KEY_METHOD
*meth
,
1212 int (*verify
)(int type
, const unsigned
1213 char *dgst
, int dgst_len
,
1214 const unsigned char *sigbuf
,
1215 int sig_len
, EC_KEY
*eckey
),
1216 int (*verify_sig
)(const unsigned char *dgst
,
1218 const ECDSA_SIG
*sig
,
1221 void EC_KEY_METHOD_get_init(EC_KEY_METHOD
*meth
,
1222 int (**pinit
)(EC_KEY
*key
),
1223 void (**pfinish
)(EC_KEY
*key
),
1224 int (**pcopy
)(EC_KEY
*dest
, const EC_KEY
*src
),
1225 int (**pset_group
)(EC_KEY
*key
,
1226 const EC_GROUP
*grp
),
1227 int (**pset_private
)(EC_KEY
*key
,
1228 const BIGNUM
*priv_key
),
1229 int (**pset_public
)(EC_KEY
*key
,
1230 const EC_POINT
*pub_key
));
1232 void EC_KEY_METHOD_get_keygen(EC_KEY_METHOD
*meth
,
1233 int (**pkeygen
)(EC_KEY
*key
));
1235 void EC_KEY_METHOD_get_compute_key(EC_KEY_METHOD
*meth
,
1236 int (**pck
)(void *out
,
1238 const EC_POINT
*pub_key
,
1240 void *(*KDF
) (const void *in
,
1245 void EC_KEY_METHOD_get_sign(EC_KEY_METHOD
*meth
,
1246 int (**psign
)(int type
, const unsigned char *dgst
,
1247 int dlen
, unsigned char *sig
,
1248 unsigned int *siglen
,
1249 const BIGNUM
*kinv
, const BIGNUM
*r
,
1251 int (**psign_setup
)(EC_KEY
*eckey
, BN_CTX
*ctx_in
,
1252 BIGNUM
**kinvp
, BIGNUM
**rp
),
1253 ECDSA_SIG
*(**psign_sig
)(const unsigned char *dgst
,
1255 const BIGNUM
*in_kinv
,
1259 void EC_KEY_METHOD_get_verify(EC_KEY_METHOD
*meth
,
1260 int (**pverify
)(int type
, const unsigned
1261 char *dgst
, int dgst_len
,
1262 const unsigned char *sigbuf
,
1263 int sig_len
, EC_KEY
*eckey
),
1264 int (**pverify_sig
)(const unsigned char *dgst
,
1266 const ECDSA_SIG
*sig
,
1269 # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
1271 # ifndef __cplusplus
1272 # if defined(__SUNPRO_C)
1273 # if __SUNPRO_C >= 0x520
1274 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
1279 # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
1280 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1281 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1282 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1284 # define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1285 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1286 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1287 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1289 # define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1290 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1291 EVP_PKEY_OP_DERIVE, \
1292 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1294 # define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1295 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1296 EVP_PKEY_OP_DERIVE, \
1297 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1299 # define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1300 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1301 EVP_PKEY_OP_DERIVE, \
1302 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1304 # define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1305 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1306 EVP_PKEY_OP_DERIVE, \
1307 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1309 # define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1310 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1311 EVP_PKEY_OP_DERIVE, \
1312 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
1314 # define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1315 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1316 EVP_PKEY_OP_DERIVE, \
1317 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
1319 # define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1320 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1321 EVP_PKEY_OP_DERIVE, \
1322 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1324 # define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1325 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1326 EVP_PKEY_OP_DERIVE, \
1327 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
1329 # define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1330 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1331 EVP_PKEY_OP_DERIVE, \
1332 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
1334 # define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1335 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1336 EVP_PKEY_OP_DERIVE, \
1337 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
1339 # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
1340 # define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
1341 # define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
1342 # define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
1343 # define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
1344 # define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
1345 # define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
1346 # define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
1347 # define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
1348 # define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
1350 # define EVP_PKEY_ECDH_KDF_NONE 1
1351 # define EVP_PKEY_ECDH_KDF_X9_62 2
1353 /* BEGIN ERROR CODES */
1355 * The following lines are auto generated by the script mkerr.pl. Any changes
1356 * made after this point may be overwritten when the script is next run.
1358 void ERR_load_EC_strings(void);
1360 /* Error codes for the EC functions. */
1362 /* Function codes. */
1363 # define EC_F_BN_TO_FELEM 224
1364 # define EC_F_COMPUTE_WNAF 143
1365 # define EC_F_D2I_ECPARAMETERS 144
1366 # define EC_F_D2I_ECPKPARAMETERS 145
1367 # define EC_F_D2I_ECPRIVATEKEY 146
1368 # define EC_F_DO_EC_KEY_PRINT 221
1369 # define EC_F_ECDH_CMS_DECRYPT 238
1370 # define EC_F_ECDH_CMS_SET_SHARED_INFO 239
1371 # define EC_F_ECDH_COMPUTE_KEY 246
1372 # define EC_F_ECDSA_DO_SIGN_EX 251
1373 # define EC_F_ECDSA_DO_VERIFY 252
1374 # define EC_F_ECDSA_SIGN_EX 254
1375 # define EC_F_ECDSA_SIGN_SETUP 248
1376 # define EC_F_ECDSA_VERIFY 253
1377 # define EC_F_ECKEY_PARAM2TYPE 223
1378 # define EC_F_ECKEY_PARAM_DECODE 212
1379 # define EC_F_ECKEY_PRIV_DECODE 213
1380 # define EC_F_ECKEY_PRIV_ENCODE 214
1381 # define EC_F_ECKEY_PUB_DECODE 215
1382 # define EC_F_ECKEY_PUB_ENCODE 216
1383 # define EC_F_ECKEY_TYPE2PARAM 220
1384 # define EC_F_ECPARAMETERS_PRINT 147
1385 # define EC_F_ECPARAMETERS_PRINT_FP 148
1386 # define EC_F_ECPKPARAMETERS_PRINT 149
1387 # define EC_F_ECPKPARAMETERS_PRINT_FP 150
1388 # define EC_F_ECP_NISTZ256_GET_AFFINE 240
1389 # define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE 243
1390 # define EC_F_ECP_NISTZ256_POINTS_MUL 241
1391 # define EC_F_ECP_NISTZ256_PRE_COMP_NEW 244
1392 # define EC_F_ECP_NISTZ256_WINDOWED_MUL 242
1393 # define EC_F_ECP_NIST_MOD_192 203
1394 # define EC_F_ECP_NIST_MOD_224 204
1395 # define EC_F_ECP_NIST_MOD_256 205
1396 # define EC_F_ECP_NIST_MOD_521 206
1397 # define EC_F_EC_ASN1_GROUP2CURVE 153
1398 # define EC_F_EC_ASN1_GROUP2FIELDID 154
1399 # define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1400 # define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1401 # define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1402 # define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1403 # define EC_F_EC_EX_DATA_SET_DATA 211
1404 # define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1405 # define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1406 # define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1407 # define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1408 # define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1409 # define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1410 # define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1411 # define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1412 # define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1413 # define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1414 # define EC_F_EC_GFP_MONT_FIELD_MUL 131
1415 # define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1416 # define EC_F_EC_GFP_MONT_FIELD_SQR 132
1417 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1418 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1419 # define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1420 # define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1421 # define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1422 # define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1423 # define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1424 # define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1425 # define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1426 # define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1427 # define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1428 # define EC_F_EC_GFP_NIST_FIELD_MUL 200
1429 # define EC_F_EC_GFP_NIST_FIELD_SQR 201
1430 # define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1431 # define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1432 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1433 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1434 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1435 # define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1436 # define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1437 # define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1438 # define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1439 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1440 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1441 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1442 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1443 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1444 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1445 # define EC_F_EC_GROUP_CHECK 170
1446 # define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1447 # define EC_F_EC_GROUP_COPY 106
1448 # define EC_F_EC_GROUP_GET0_GENERATOR 139
1449 # define EC_F_EC_GROUP_GET_COFACTOR 140
1450 # define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1451 # define EC_F_EC_GROUP_GET_CURVE_GFP 130
1452 # define EC_F_EC_GROUP_GET_DEGREE 173
1453 # define EC_F_EC_GROUP_GET_ORDER 141
1454 # define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1455 # define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1456 # define EC_F_EC_GROUP_NEW 108
1457 # define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1458 # define EC_F_EC_GROUP_NEW_FROM_DATA 175
1459 # define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1460 # define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1461 # define EC_F_EC_GROUP_SET_CURVE_GFP 109
1462 # define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1463 # define EC_F_EC_GROUP_SET_GENERATOR 111
1464 # define EC_F_EC_KEY_CHECK_KEY 177
1465 # define EC_F_EC_KEY_COPY 178
1466 # define EC_F_EC_KEY_GENERATE_KEY 179
1467 # define EC_F_EC_KEY_NEW 182
1468 # define EC_F_EC_KEY_NEW_METHOD 245
1469 # define EC_F_EC_KEY_PRINT 180
1470 # define EC_F_EC_KEY_PRINT_FP 181
1471 # define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1472 # define EC_F_EC_POINTS_MAKE_AFFINE 136
1473 # define EC_F_EC_POINT_ADD 112
1474 # define EC_F_EC_POINT_CMP 113
1475 # define EC_F_EC_POINT_COPY 114
1476 # define EC_F_EC_POINT_DBL 115
1477 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1478 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1479 # define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1480 # define EC_F_EC_POINT_INVERT 210
1481 # define EC_F_EC_POINT_IS_AT_INFINITY 118
1482 # define EC_F_EC_POINT_IS_ON_CURVE 119
1483 # define EC_F_EC_POINT_MAKE_AFFINE 120
1484 # define EC_F_EC_POINT_MUL 184
1485 # define EC_F_EC_POINT_NEW 121
1486 # define EC_F_EC_POINT_OCT2POINT 122
1487 # define EC_F_EC_POINT_POINT2OCT 123
1488 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1489 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1490 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1491 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1492 # define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1493 # define EC_F_EC_POINT_SET_TO_INFINITY 127
1494 # define EC_F_EC_PRE_COMP_DUP 207
1495 # define EC_F_EC_PRE_COMP_NEW 196
1496 # define EC_F_EC_WNAF_MUL 187
1497 # define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1498 # define EC_F_I2D_ECPARAMETERS 190
1499 # define EC_F_I2D_ECPKPARAMETERS 191
1500 # define EC_F_I2D_ECPRIVATEKEY 192
1501 # define EC_F_I2O_ECPUBLICKEY 151
1502 # define EC_F_NISTP224_PRE_COMP_NEW 227
1503 # define EC_F_NISTP256_PRE_COMP_NEW 236
1504 # define EC_F_NISTP521_PRE_COMP_NEW 237
1505 # define EC_F_O2I_ECPUBLICKEY 152
1506 # define EC_F_OLD_EC_PRIV_DECODE 222
1507 # define EC_F_OSSL_ECDH_COMPUTE_KEY 247
1508 # define EC_F_OSSL_ECDSA_SIGN_SIG 249
1509 # define EC_F_OSSL_ECDSA_VERIFY_SIG 250
1510 # define EC_F_PKEY_EC_CTRL 197
1511 # define EC_F_PKEY_EC_CTRL_STR 198
1512 # define EC_F_PKEY_EC_DERIVE 217
1513 # define EC_F_PKEY_EC_KEYGEN 199
1514 # define EC_F_PKEY_EC_PARAMGEN 219
1515 # define EC_F_PKEY_EC_SIGN 218
1518 # define EC_R_ASN1_ERROR 115
1519 # define EC_R_ASN1_UNKNOWN_FIELD 116
1520 # define EC_R_BAD_SIGNATURE 156
1521 # define EC_R_BIGNUM_OUT_OF_RANGE 144
1522 # define EC_R_BUFFER_TOO_SMALL 100
1523 # define EC_R_COORDINATES_OUT_OF_RANGE 146
1524 # define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1525 # define EC_R_DECODE_ERROR 142
1526 # define EC_R_DISCRIMINANT_IS_ZERO 118
1527 # define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1528 # define EC_R_FIELD_TOO_LARGE 143
1529 # define EC_R_GF2M_NOT_SUPPORTED 147
1530 # define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1531 # define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1532 # define EC_R_INCOMPATIBLE_OBJECTS 101
1533 # define EC_R_INVALID_ARGUMENT 112
1534 # define EC_R_INVALID_COMPRESSED_POINT 110
1535 # define EC_R_INVALID_COMPRESSION_BIT 109
1536 # define EC_R_INVALID_CURVE 141
1537 # define EC_R_INVALID_DIGEST 151
1538 # define EC_R_INVALID_DIGEST_TYPE 138
1539 # define EC_R_INVALID_ENCODING 102
1540 # define EC_R_INVALID_FIELD 103
1541 # define EC_R_INVALID_FORM 104
1542 # define EC_R_INVALID_GROUP_ORDER 122
1543 # define EC_R_INVALID_PENTANOMIAL_BASIS 132
1544 # define EC_R_INVALID_PRIVATE_KEY 123
1545 # define EC_R_INVALID_TRINOMIAL_BASIS 137
1546 # define EC_R_KDF_FAILED 153
1547 # define EC_R_KDF_PARAMETER_ERROR 148
1548 # define EC_R_KEYS_NOT_SET 140
1549 # define EC_R_MISSING_PARAMETERS 124
1550 # define EC_R_MISSING_PRIVATE_KEY 125
1551 # define EC_R_NEED_NEW_SETUP_VALUES 157
1552 # define EC_R_NOT_A_NIST_PRIME 135
1553 # define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1554 # define EC_R_NOT_IMPLEMENTED 126
1555 # define EC_R_NOT_INITIALIZED 111
1556 # define EC_R_NO_FIELD_MOD 133
1557 # define EC_R_NO_PARAMETERS_SET 139
1558 # define EC_R_NO_PRIVATE_VALUE 154
1559 # define EC_R_OPERATION_NOT_SUPPORTED 152
1560 # define EC_R_PASSED_NULL_PARAMETER 134
1561 # define EC_R_PEER_KEY_ERROR 149
1562 # define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1563 # define EC_R_POINT_ARITHMETIC_FAILURE 155
1564 # define EC_R_POINT_AT_INFINITY 106
1565 # define EC_R_POINT_IS_NOT_ON_CURVE 107
1566 # define EC_R_RANDOM_NUMBER_GENERATION_FAILED 158
1567 # define EC_R_SHARED_INFO_ERROR 150
1568 # define EC_R_SLOT_FULL 108
1569 # define EC_R_UNDEFINED_GENERATOR 113
1570 # define EC_R_UNDEFINED_ORDER 128
1571 # define EC_R_UNKNOWN_GROUP 129
1572 # define EC_R_UNKNOWN_ORDER 114
1573 # define EC_R_UNSUPPORTED_FIELD 131
1574 # define EC_R_WRONG_CURVE_PARAMETERS 145
1575 # define EC_R_WRONG_ORDER 130