1/* crypto/ec/ec.h */
2/*
3 * Originally written by Bodo Moeller for the OpenSSL project.
4 */
5/**
6 * \file crypto/ec/ec.h Include file for the OpenSSL EC functions
7 * \author Originally written by Bodo Moeller for the OpenSSL project
8 */
9/* ====================================================================
10 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
11 *
12 * Redistribution and use in source and binary forms, with or without
13 * modification, are permitted provided that the following conditions
14 * are met:
15 *
16 * 1. Redistributions of source code must retain the above copyright
17 * notice, this list of conditions and the following disclaimer.
18 *
19 * 2. Redistributions in binary form must reproduce the above copyright
20 * notice, this list of conditions and the following disclaimer in
21 * the documentation and/or other materials provided with the
22 * distribution.
23 *
24 * 3. All advertising materials mentioning features or use of this
25 * software must display the following acknowledgment:
26 * "This product includes software developed by the OpenSSL Project
27 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
28 *
29 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
30 * endorse or promote products derived from this software without
31 * prior written permission. For written permission, please contact
32 * [email protected].
33 *
34 * 5. Products derived from this software may not be called "OpenSSL"
35 * nor may "OpenSSL" appear in their names without prior written
36 * permission of the OpenSSL Project.
37 *
38 * 6. Redistributions of any form whatsoever must retain the following
39 * acknowledgment:
40 * "This product includes software developed by the OpenSSL Project
41 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
42 *
43 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
44 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
45 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
46 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
47 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
48 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
49 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
50 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
51 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
52 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
53 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
54 * OF THE POSSIBILITY OF SUCH DAMAGE.
55 * ====================================================================
56 *
57 * This product includes cryptographic software written by Eric Young
58 * ([email protected]). This product includes software written by Tim
59 * Hudson ([email protected]).
60 *
61 */
62/* ====================================================================
63 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
64 *
65 * Portions of the attached software ("Contribution") are developed by
66 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
67 *
68 * The Contribution is licensed pursuant to the OpenSSL open source
69 * license provided above.
70 *
71 * The elliptic curve binary polynomial software is originally written by
72 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
73 *
74 */
75
76#ifndef HEADER_EC_H
77# define HEADER_EC_H
78
79# include <openssl/opensslconf.h>
80
81# ifdef OPENSSL_NO_EC
82# error EC is disabled.
83# endif
84
85# include <openssl/asn1.h>
86# include <openssl/symhacks.h>
87# ifndef OPENSSL_NO_DEPRECATED
88# include <openssl/bn.h>
89# endif
90
91# ifdef __cplusplus
92extern "C" {
93# elif defined(__SUNPRO_C)
94# if __SUNPRO_C >= 0x520
95# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
96# endif
97# endif
98
99# ifndef OPENSSL_ECC_MAX_FIELD_BITS
100# define OPENSSL_ECC_MAX_FIELD_BITS 661
101# endif
102
103/** Enum for the point conversion form as defined in X9.62 (ECDSA)
104 * for the encoding of a elliptic curve point (x,y) */
105typedef enum {
106 /** the point is encoded as z||x, where the octet z specifies
107 * which solution of the quadratic equation y is */
108 POINT_CONVERSION_COMPRESSED = 2,
109 /** the point is encoded as z||x||y, where z is the octet 0x04 */
110 POINT_CONVERSION_UNCOMPRESSED = 4,
111 /** the point is encoded as z||x||y, where the octet z specifies
112 * which solution of the quadratic equation y is */
113 POINT_CONVERSION_HYBRID = 6
114} point_conversion_form_t;
115
116typedef struct ec_method_st EC_METHOD;
117
118typedef struct ec_group_st
119 /*-
120 EC_METHOD *meth;
121 -- field definition
122 -- curve coefficients
123 -- optional generator with associated information (order, cofactor)
124 -- optional extra data (precomputed table for fast computation of multiples of generator)
125 -- ASN1 stuff
126 */
127 EC_GROUP;
128
129typedef struct ec_point_st EC_POINT;
130
131/********************************************************************/
132/* EC_METHODs for curves over GF(p) */
133/********************************************************************/
134
135/** Returns the basic GFp ec methods which provides the basis for the
136 * optimized methods.
137 * \return EC_METHOD object
138 */
139const EC_METHOD *EC_GFp_simple_method(void);
140
141/** Returns GFp methods using montgomery multiplication.
142 * \return EC_METHOD object
143 */
144const EC_METHOD *EC_GFp_mont_method(void);
145
146/** Returns GFp methods using optimized methods for NIST recommended curves
147 * \return EC_METHOD object
148 */
149const EC_METHOD *EC_GFp_nist_method(void);
150
151# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
152/** Returns 64-bit optimized methods for nistp224
153 * \return EC_METHOD object
154 */
155const EC_METHOD *EC_GFp_nistp224_method(void);
156
157/** Returns 64-bit optimized methods for nistp256
158 * \return EC_METHOD object
159 */
160const EC_METHOD *EC_GFp_nistp256_method(void);
161
162/** Returns 64-bit optimized methods for nistp521
163 * \return EC_METHOD object
164 */
165const EC_METHOD *EC_GFp_nistp521_method(void);
166# endif
167
168# ifndef OPENSSL_NO_EC2M
169/********************************************************************/
170/* EC_METHOD for curves over GF(2^m) */
171/********************************************************************/
172
173/** Returns the basic GF2m ec method
174 * \return EC_METHOD object
175 */
176const EC_METHOD *EC_GF2m_simple_method(void);
177
178# endif
179
180/********************************************************************/
181/* EC_GROUP functions */
182/********************************************************************/
183
184/** Creates a new EC_GROUP object
185 * \param meth EC_METHOD to use
186 * \return newly created EC_GROUP object or NULL in case of an error.
187 */
188EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
189
190/** Frees a EC_GROUP object
191 * \param group EC_GROUP object to be freed.
192 */
193void EC_GROUP_free(EC_GROUP *group);
194
195/** Clears and frees a EC_GROUP object
196 * \param group EC_GROUP object to be cleared and freed.
197 */
198void EC_GROUP_clear_free(EC_GROUP *group);
199
200/** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
201 * \param dst destination EC_GROUP object
202 * \param src source EC_GROUP object
203 * \return 1 on success and 0 if an error occurred.
204 */
205int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
206
207/** Creates a new EC_GROUP object and copies the copies the content
208 * form src to the newly created EC_KEY object
209 * \param src source EC_GROUP object
210 * \return newly created EC_GROUP object or NULL in case of an error.
211 */
212EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
213
214/** Returns the EC_METHOD of the EC_GROUP object.
215 * \param group EC_GROUP object
216 * \return EC_METHOD used in this EC_GROUP object.
217 */
218const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
219
220/** Returns the field type of the EC_METHOD.
221 * \param meth EC_METHOD object
222 * \return NID of the underlying field type OID.
223 */
224int EC_METHOD_get_field_type(const EC_METHOD *meth);
225
226/** Sets the generator and it's order/cofactor of a EC_GROUP object.
227 * \param group EC_GROUP object
228 * \param generator EC_POINT object with the generator.
229 * \param order the order of the group generated by the generator.
230 * \param cofactor the index of the sub-group generated by the generator
231 * in the group of all points on the elliptic curve.
232 * \return 1 on success and 0 if an error occured
233 */
234int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
235 const BIGNUM *order, const BIGNUM *cofactor);
236
237/** Returns the generator of a EC_GROUP object.
238 * \param group EC_GROUP object
239 * \return the currently used generator (possibly NULL).
240 */
241const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
242
243/** Returns the montgomery data for order(Generator)
244 * \param group EC_GROUP object
245 * \return the currently used generator (possibly NULL).
246*/
247BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
248
249/** Gets the order of a EC_GROUP
250 * \param group EC_GROUP object
251 * \param order BIGNUM to which the order is copied
252 * \param ctx BN_CTX object (optional)
253 * \return 1 on success and 0 if an error occured
254 */
255int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
256
257/** Gets the cofactor of a EC_GROUP
258 * \param group EC_GROUP object
259 * \param cofactor BIGNUM to which the cofactor is copied
260 * \param ctx BN_CTX object (optional)
261 * \return 1 on success and 0 if an error occured
262 */
263int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
264 BN_CTX *ctx);
265
266/** Sets the name of a EC_GROUP object
267 * \param group EC_GROUP object
268 * \param nid NID of the curve name OID
269 */
270void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
271
272/** Returns the curve name of a EC_GROUP object
273 * \param group EC_GROUP object
274 * \return NID of the curve name OID or 0 if not set.
275 */
276int EC_GROUP_get_curve_name(const EC_GROUP *group);
277
278void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
279int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
280
281void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
282 point_conversion_form_t form);
283point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
284
285unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
286size_t EC_GROUP_get_seed_len(const EC_GROUP *);
287size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
288
289/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
290 * \param group EC_GROUP object
291 * \param p BIGNUM with the prime number
292 * \param a BIGNUM with parameter a of the equation
293 * \param b BIGNUM with parameter b of the equation
294 * \param ctx BN_CTX object (optional)
295 * \return 1 on success and 0 if an error occured
296 */
297int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
298 const BIGNUM *b, BN_CTX *ctx);
299
300/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
301 * \param group EC_GROUP object
302 * \param p BIGNUM for the prime number
303 * \param a BIGNUM for parameter a of the equation
304 * \param b BIGNUM for parameter b of the equation
305 * \param ctx BN_CTX object (optional)
306 * \return 1 on success and 0 if an error occured
307 */
308int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
309 BIGNUM *b, BN_CTX *ctx);
310
311# ifndef OPENSSL_NO_EC2M
312/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
313 * \param group EC_GROUP object
314 * \param p BIGNUM with the polynomial defining the underlying field
315 * \param a BIGNUM with parameter a of the equation
316 * \param b BIGNUM with parameter b of the equation
317 * \param ctx BN_CTX object (optional)
318 * \return 1 on success and 0 if an error occured
319 */
320int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
321 const BIGNUM *b, BN_CTX *ctx);
322
323/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
324 * \param group EC_GROUP object
325 * \param p BIGNUM for the polynomial defining the underlying field
326 * \param a BIGNUM for parameter a of the equation
327 * \param b BIGNUM for parameter b of the equation
328 * \param ctx BN_CTX object (optional)
329 * \return 1 on success and 0 if an error occured
330 */
331int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
332 BIGNUM *b, BN_CTX *ctx);
333# endif
334/** Returns the number of bits needed to represent a field element
335 * \param group EC_GROUP object
336 * \return number of bits needed to represent a field element
337 */
338int EC_GROUP_get_degree(const EC_GROUP *group);
339
340/** Checks whether the parameter in the EC_GROUP define a valid ec group
341 * \param group EC_GROUP object
342 * \param ctx BN_CTX object (optional)
343 * \return 1 if group is a valid ec group and 0 otherwise
344 */
345int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
346
347/** Checks whether the discriminant of the elliptic curve is zero or not
348 * \param group EC_GROUP object
349 * \param ctx BN_CTX object (optional)
350 * \return 1 if the discriminant is not zero and 0 otherwise
351 */
352int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
353
354/** Compares two EC_GROUP objects
355 * \param a first EC_GROUP object
356 * \param b second EC_GROUP object
357 * \param ctx BN_CTX object (optional)
358 * \return 0 if both groups are equal and 1 otherwise
359 */
360int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
361
362/*
363 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
364 * choosing an appropriate EC_METHOD
365 */
366
367/** Creates a new EC_GROUP object with the specified parameters defined
368 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
369 * \param p BIGNUM with the prime number
370 * \param a BIGNUM with the parameter a of the equation
371 * \param b BIGNUM with the parameter b of the equation
372 * \param ctx BN_CTX object (optional)
373 * \return newly created EC_GROUP object with the specified parameters
374 */
375EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
376 const BIGNUM *b, BN_CTX *ctx);
377# ifndef OPENSSL_NO_EC2M
378/** Creates a new EC_GROUP object with the specified parameters defined
379 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
380 * \param p BIGNUM with the polynomial defining the underlying field
381 * \param a BIGNUM with the parameter a of the equation
382 * \param b BIGNUM with the parameter b of the equation
383 * \param ctx BN_CTX object (optional)
384 * \return newly created EC_GROUP object with the specified parameters
385 */
386EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
387 const BIGNUM *b, BN_CTX *ctx);
388# endif
389/** Creates a EC_GROUP object with a curve specified by a NID
390 * \param nid NID of the OID of the curve name
391 * \return newly created EC_GROUP object with specified curve or NULL
392 * if an error occurred
393 */
394EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
395
396/********************************************************************/
397/* handling of internal curves */
398/********************************************************************/
399
400typedef struct {
401 int nid;
402 const char *comment;
403} EC_builtin_curve;
404
405/*
406 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
407 * available curves or zero if a error occurred. In case r ist not zero
408 * nitems EC_builtin_curve structures are filled with the data of the first
409 * nitems internal groups
410 */
411size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
412
413const char *EC_curve_nid2nist(int nid);
414int EC_curve_nist2nid(const char *name);
415
416/********************************************************************/
417/* EC_POINT functions */
418/********************************************************************/
419
420/** Creates a new EC_POINT object for the specified EC_GROUP
421 * \param group EC_GROUP the underlying EC_GROUP object
422 * \return newly created EC_POINT object or NULL if an error occurred
423 */
424EC_POINT *EC_POINT_new(const EC_GROUP *group);
425
426/** Frees a EC_POINT object
427 * \param point EC_POINT object to be freed
428 */
429void EC_POINT_free(EC_POINT *point);
430
431/** Clears and frees a EC_POINT object
432 * \param point EC_POINT object to be cleared and freed
433 */
434void EC_POINT_clear_free(EC_POINT *point);
435
436/** Copies EC_POINT object
437 * \param dst destination EC_POINT object
438 * \param src source EC_POINT object
439 * \return 1 on success and 0 if an error occured
440 */
441int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
442
443/** Creates a new EC_POINT object and copies the content of the supplied
444 * EC_POINT
445 * \param src source EC_POINT object
446 * \param group underlying the EC_GROUP object
447 * \return newly created EC_POINT object or NULL if an error occurred
448 */
449EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
450
451/** Returns the EC_METHOD used in EC_POINT object
452 * \param point EC_POINT object
453 * \return the EC_METHOD used
454 */
455const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
456
457/** Sets a point to infinity (neutral element)
458 * \param group underlying EC_GROUP object
459 * \param point EC_POINT to set to infinity
460 * \return 1 on success and 0 if an error occured
461 */
462int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
463
464/** Sets the jacobian projective coordinates of a EC_POINT over GFp
465 * \param group underlying EC_GROUP object
466 * \param p EC_POINT object
467 * \param x BIGNUM with the x-coordinate
468 * \param y BIGNUM with the y-coordinate
469 * \param z BIGNUM with the z-coordinate
470 * \param ctx BN_CTX object (optional)
471 * \return 1 on success and 0 if an error occured
472 */
473int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
474 EC_POINT *p, const BIGNUM *x,
475 const BIGNUM *y, const BIGNUM *z,
476 BN_CTX *ctx);
477
478/** Gets the jacobian projective coordinates of a EC_POINT over GFp
479 * \param group underlying EC_GROUP object
480 * \param p EC_POINT object
481 * \param x BIGNUM for the x-coordinate
482 * \param y BIGNUM for the y-coordinate
483 * \param z BIGNUM for the z-coordinate
484 * \param ctx BN_CTX object (optional)
485 * \return 1 on success and 0 if an error occured
486 */
487int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
488 const EC_POINT *p, BIGNUM *x,
489 BIGNUM *y, BIGNUM *z,
490 BN_CTX *ctx);
491
492/** Sets the affine coordinates of a EC_POINT over GFp
493 * \param group underlying EC_GROUP object
494 * \param p EC_POINT object
495 * \param x BIGNUM with the x-coordinate
496 * \param y BIGNUM with the y-coordinate
497 * \param ctx BN_CTX object (optional)
498 * \return 1 on success and 0 if an error occured
499 */
500int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
501 const BIGNUM *x, const BIGNUM *y,
502 BN_CTX *ctx);
503
504/** Gets the affine coordinates of a EC_POINT over GFp
505 * \param group underlying EC_GROUP object
506 * \param p EC_POINT object
507 * \param x BIGNUM for the x-coordinate
508 * \param y BIGNUM for the y-coordinate
509 * \param ctx BN_CTX object (optional)
510 * \return 1 on success and 0 if an error occured
511 */
512int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
513 const EC_POINT *p, BIGNUM *x,
514 BIGNUM *y, BN_CTX *ctx);
515
516/** Sets the x9.62 compressed 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 x-coordinate
520 * \param y_bit integer with the y-Bit (either 0 or 1)
521 * \param ctx BN_CTX object (optional)
522 * \return 1 on success and 0 if an error occured
523 */
524int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
525 EC_POINT *p, const BIGNUM *x,
526 int y_bit, BN_CTX *ctx);
527# ifndef OPENSSL_NO_EC2M
528/** Sets the affine coordinates of a EC_POINT over GF2m
529 * \param group underlying EC_GROUP object
530 * \param p EC_POINT object
531 * \param x BIGNUM with the x-coordinate
532 * \param y BIGNUM with the y-coordinate
533 * \param ctx BN_CTX object (optional)
534 * \return 1 on success and 0 if an error occured
535 */
536int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
537 const BIGNUM *x, const BIGNUM *y,
538 BN_CTX *ctx);
539
540/** Gets the affine coordinates of a EC_POINT over GF2m
541 * \param group underlying EC_GROUP object
542 * \param p EC_POINT object
543 * \param x BIGNUM for the x-coordinate
544 * \param y BIGNUM for the y-coordinate
545 * \param ctx BN_CTX object (optional)
546 * \return 1 on success and 0 if an error occured
547 */
548int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
549 const EC_POINT *p, BIGNUM *x,
550 BIGNUM *y, BN_CTX *ctx);
551
552/** Sets the x9.62 compressed 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 x-coordinate
556 * \param y_bit integer with the y-Bit (either 0 or 1)
557 * \param ctx BN_CTX object (optional)
558 * \return 1 on success and 0 if an error occured
559 */
560int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
561 EC_POINT *p, const BIGNUM *x,
562 int y_bit, BN_CTX *ctx);
563# endif
564/** Encodes a EC_POINT object to a octet string
565 * \param group underlying EC_GROUP object
566 * \param p EC_POINT object
567 * \param form point conversion form
568 * \param buf memory buffer for the result. If NULL the function returns
569 * required buffer size.
570 * \param len length of the memory buffer
571 * \param ctx BN_CTX object (optional)
572 * \return the length of the encoded octet string or 0 if an error occurred
573 */
574size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
575 point_conversion_form_t form,
576 unsigned char *buf, size_t len, BN_CTX *ctx);
577
578/** Decodes a EC_POINT from a octet string
579 * \param group underlying EC_GROUP object
580 * \param p EC_POINT object
581 * \param buf memory buffer with the encoded ec point
582 * \param len length of the encoded ec point
583 * \param ctx BN_CTX object (optional)
584 * \return 1 on success and 0 if an error occured
585 */
586int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
587 const unsigned char *buf, size_t len, BN_CTX *ctx);
588
589/* other interfaces to point2oct/oct2point: */
590BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
591 point_conversion_form_t form, BIGNUM *, BN_CTX *);
592EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
593 EC_POINT *, BN_CTX *);
594char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
595 point_conversion_form_t form, BN_CTX *);
596EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
597 EC_POINT *, BN_CTX *);
598
599/********************************************************************/
600/* functions for doing EC_POINT arithmetic */
601/********************************************************************/
602
603/** Computes the sum of two EC_POINT
604 * \param group underlying EC_GROUP object
605 * \param r EC_POINT object for the result (r = a + b)
606 * \param a EC_POINT object with the first summand
607 * \param b EC_POINT object with the second summand
608 * \param ctx BN_CTX object (optional)
609 * \return 1 on success and 0 if an error occured
610 */
611int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
612 const EC_POINT *b, BN_CTX *ctx);
613
614/** Computes the double of a EC_POINT
615 * \param group underlying EC_GROUP object
616 * \param r EC_POINT object for the result (r = 2 * a)
617 * \param a EC_POINT object
618 * \param ctx BN_CTX object (optional)
619 * \return 1 on success and 0 if an error occured
620 */
621int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
622 BN_CTX *ctx);
623
624/** Computes the inverse of a EC_POINT
625 * \param group underlying EC_GROUP object
626 * \param a EC_POINT object to be inverted (it's used for the result as well)
627 * \param ctx BN_CTX object (optional)
628 * \return 1 on success and 0 if an error occured
629 */
630int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
631
632/** Checks whether the point is the neutral element of the group
633 * \param group the underlying EC_GROUP object
634 * \param p EC_POINT object
635 * \return 1 if the point is the neutral element and 0 otherwise
636 */
637int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
638
639/** Checks whether the point is on the curve
640 * \param group underlying EC_GROUP object
641 * \param point EC_POINT object to check
642 * \param ctx BN_CTX object (optional)
643 * \return 1 if point if on the curve and 0 otherwise
644 */
645int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
646 BN_CTX *ctx);
647
648/** Compares two EC_POINTs
649 * \param group underlying EC_GROUP object
650 * \param a first EC_POINT object
651 * \param b second EC_POINT object
652 * \param ctx BN_CTX object (optional)
653 * \return 0 if both points are equal and a value != 0 otherwise
654 */
655int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
656 BN_CTX *ctx);
657
658int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
659int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
660 EC_POINT *points[], BN_CTX *ctx);
661
662/** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
663 * \param group underlying EC_GROUP object
664 * \param r EC_POINT object for the result
665 * \param n BIGNUM with the multiplier for the group generator (optional)
666 * \param num number futher summands
667 * \param p array of size num of EC_POINT objects
668 * \param m array of size num of BIGNUM objects
669 * \param ctx BN_CTX object (optional)
670 * \return 1 on success and 0 if an error occured
671 */
672int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
673 size_t num, const EC_POINT *p[], const BIGNUM *m[],
674 BN_CTX *ctx);
675
676/** Computes r = generator * n + q * m
677 * \param group underlying EC_GROUP object
678 * \param r EC_POINT object for the result
679 * \param n BIGNUM with the multiplier for the group generator (optional)
680 * \param q EC_POINT object with the first factor of the second summand
681 * \param m BIGNUM with the second factor of the second summand
682 * \param ctx BN_CTX object (optional)
683 * \return 1 on success and 0 if an error occured
684 */
685int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
686 const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
687
688/** Stores multiples of generator for faster point multiplication
689 * \param group EC_GROUP object
690 * \param ctx BN_CTX object (optional)
691 * \return 1 on success and 0 if an error occured
692 */
693int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
694
695/** Reports whether a precomputation has been done
696 * \param group EC_GROUP object
697 * \return 1 if a pre-computation has been done and 0 otherwise
698 */
699int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
700
701/********************************************************************/
702/* ASN1 stuff */
703/********************************************************************/
704
705/*
706 * EC_GROUP_get_basis_type() returns the NID of the basis type used to
707 * represent the field elements
708 */
709int EC_GROUP_get_basis_type(const EC_GROUP *);
710# ifndef OPENSSL_NO_EC2M
711int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
712int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
713 unsigned int *k2, unsigned int *k3);
714# endif
715
716# define OPENSSL_EC_NAMED_CURVE 0x001
717
718typedef struct ecpk_parameters_st ECPKPARAMETERS;
719
720EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
721int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
722
723# define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
724# define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
725# define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
726 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
727# define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
728 (unsigned char *)(x))
729
730# ifndef OPENSSL_NO_BIO
731int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
732# endif
733# ifndef OPENSSL_NO_FP_API
734int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
735# endif
736
737/********************************************************************/
738/* EC_KEY functions */
739/********************************************************************/
740
741typedef struct ec_key_st EC_KEY;
742
743/* some values for the encoding_flag */
744# define EC_PKEY_NO_PARAMETERS 0x001
745# define EC_PKEY_NO_PUBKEY 0x002
746
747/* some values for the flags field */
748# define EC_FLAG_NON_FIPS_ALLOW 0x1
749# define EC_FLAG_FIPS_CHECKED 0x2
750
751/** Creates a new EC_KEY object.
752 * \return EC_KEY object or NULL if an error occurred.
753 */
754EC_KEY *EC_KEY_new(void);
755
756int EC_KEY_get_flags(const EC_KEY *key);
757
758void EC_KEY_set_flags(EC_KEY *key, int flags);
759
760void EC_KEY_clear_flags(EC_KEY *key, int flags);
761
762/** Creates a new EC_KEY object using a named curve as underlying
763 * EC_GROUP object.
764 * \param nid NID of the named curve.
765 * \return EC_KEY object or NULL if an error occurred.
766 */
767EC_KEY *EC_KEY_new_by_curve_name(int nid);
768
769/** Frees a EC_KEY object.
770 * \param key EC_KEY object to be freed.
771 */
772void EC_KEY_free(EC_KEY *key);
773
774/** Copies a EC_KEY object.
775 * \param dst destination EC_KEY object
776 * \param src src EC_KEY object
777 * \return dst or NULL if an error occurred.
778 */
779EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
780
781/** Creates a new EC_KEY object and copies the content from src to it.
782 * \param src the source EC_KEY object
783 * \return newly created EC_KEY object or NULL if an error occurred.
784 */
785EC_KEY *EC_KEY_dup(const EC_KEY *src);
786
787/** Increases the internal reference count of a EC_KEY object.
788 * \param key EC_KEY object
789 * \return 1 on success and 0 if an error occurred.
790 */
791int EC_KEY_up_ref(EC_KEY *key);
792
793/** Returns the EC_GROUP object of a EC_KEY object
794 * \param key EC_KEY object
795 * \return the EC_GROUP object (possibly NULL).
796 */
797const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
798
799/** Sets the EC_GROUP of a EC_KEY object.
800 * \param key EC_KEY object
801 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
802 * object will use an own copy of the EC_GROUP).
803 * \return 1 on success and 0 if an error occurred.
804 */
805int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
806
807/** Returns the private key of a EC_KEY object.
808 * \param key EC_KEY object
809 * \return a BIGNUM with the private key (possibly NULL).
810 */
811const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
812
813/** Sets the private key of a EC_KEY object.
814 * \param key EC_KEY object
815 * \param prv BIGNUM with the private key (note: the EC_KEY object
816 * will use an own copy of the BIGNUM).
817 * \return 1 on success and 0 if an error occurred.
818 */
819int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
820
821/** Returns the public key of a EC_KEY object.
822 * \param key the EC_KEY object
823 * \return a EC_POINT object with the public key (possibly NULL)
824 */
825const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
826
827/** Sets the public key of a EC_KEY object.
828 * \param key EC_KEY object
829 * \param pub EC_POINT object with the public key (note: the EC_KEY object
830 * will use an own copy of the EC_POINT object).
831 * \return 1 on success and 0 if an error occurred.
832 */
833int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
834
835unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
836void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
837point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
838void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
839/* functions to set/get method specific data */
840void *EC_KEY_get_key_method_data(EC_KEY *key,
841 void *(*dup_func) (void *),
842 void (*free_func) (void *),
843 void (*clear_free_func) (void *));
844/** Sets the key method data of an EC_KEY object, if none has yet been set.
845 * \param key EC_KEY object
846 * \param data opaque data to install.
847 * \param dup_func a function that duplicates |data|.
848 * \param free_func a function that frees |data|.
849 * \param clear_free_func a function that wipes and frees |data|.
850 * \return the previously set data pointer, or NULL if |data| was inserted.
851 */
852void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
853 void *(*dup_func) (void *),
854 void (*free_func) (void *),
855 void (*clear_free_func) (void *));
856/* wrapper functions for the underlying EC_GROUP object */
857void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
858
859/** Creates a table of pre-computed multiples of the generator to
860 * accelerate further EC_KEY operations.
861 * \param key EC_KEY object
862 * \param ctx BN_CTX object (optional)
863 * \return 1 on success and 0 if an error occurred.
864 */
865int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
866
867/** Creates a new ec private (and optional a new public) key.
868 * \param key EC_KEY object
869 * \return 1 on success and 0 if an error occurred.
870 */
871int EC_KEY_generate_key(EC_KEY *key);
872
873/** Verifies that a private and/or public key is valid.
874 * \param key the EC_KEY object
875 * \return 1 on success and 0 otherwise.
876 */
877int EC_KEY_check_key(const EC_KEY *key);
878
879/** Sets a public key from affine coordindates performing
880 * neccessary NIST PKV tests.
881 * \param key the EC_KEY object
882 * \param x public key x coordinate
883 * \param y public key y coordinate
884 * \return 1 on success and 0 otherwise.
885 */
886int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
887 BIGNUM *y);
888
889/********************************************************************/
890/* de- and encoding functions for SEC1 ECPrivateKey */
891/********************************************************************/
892
893/** Decodes a private key from a memory buffer.
894 * \param key a pointer to a EC_KEY object which should be used (or NULL)
895 * \param in pointer to memory with the DER encoded private key
896 * \param len length of the DER encoded private key
897 * \return the decoded private key or NULL if an error occurred.
898 */
899EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
900
901/** Encodes a private key object and stores the result in a buffer.
902 * \param key the EC_KEY object to encode
903 * \param out the buffer for the result (if NULL the function returns number
904 * of bytes needed).
905 * \return 1 on success and 0 if an error occurred.
906 */
907int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
908
909/********************************************************************/
910/* de- and encoding functions for EC parameters */
911/********************************************************************/
912
913/** Decodes ec parameter from a memory buffer.
914 * \param key a pointer to a EC_KEY object which should be used (or NULL)
915 * \param in pointer to memory with the DER encoded ec parameters
916 * \param len length of the DER encoded ec parameters
917 * \return a EC_KEY object with the decoded parameters or NULL if an error
918 * occurred.
919 */
920EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
921
922/** Encodes ec parameter and stores the result in a buffer.
923 * \param key the EC_KEY object with ec paramters to encode
924 * \param out the buffer for the result (if NULL the function returns number
925 * of bytes needed).
926 * \return 1 on success and 0 if an error occurred.
927 */
928int i2d_ECParameters(EC_KEY *key, unsigned char **out);
929
930/********************************************************************/
931/* de- and encoding functions for EC public key */
932/* (octet string, not DER -- hence 'o2i' and 'i2o') */
933/********************************************************************/
934
935/** Decodes a ec public key from a octet string.
936 * \param key a pointer to a EC_KEY object which should be used
937 * \param in memory buffer with the encoded public key
938 * \param len length of the encoded public key
939 * \return EC_KEY object with decoded public key or NULL if an error
940 * occurred.
941 */
942EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
943
944/** Encodes a ec public key in an octet string.
945 * \param key the EC_KEY object with the public key
946 * \param out the buffer for the result (if NULL the function returns number
947 * of bytes needed).
948 * \return 1 on success and 0 if an error occurred
949 */
950int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
951
952# ifndef OPENSSL_NO_BIO
953/** Prints out the ec parameters on human readable form.
954 * \param bp BIO object to which the information is printed
955 * \param key EC_KEY object
956 * \return 1 on success and 0 if an error occurred
957 */
958int ECParameters_print(BIO *bp, const EC_KEY *key);
959
960/** Prints out the contents of a EC_KEY object
961 * \param bp BIO object to which the information is printed
962 * \param key EC_KEY object
963 * \param off line offset
964 * \return 1 on success and 0 if an error occurred
965 */
966int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
967
968# endif
969# ifndef OPENSSL_NO_FP_API
970/** Prints out the ec parameters on human readable form.
971 * \param fp file descriptor to which the information is printed
972 * \param key EC_KEY object
973 * \return 1 on success and 0 if an error occurred
974 */
975int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
976
977/** Prints out the contents of a EC_KEY object
978 * \param fp file descriptor to which the information is printed
979 * \param key EC_KEY object
980 * \param off line offset
981 * \return 1 on success and 0 if an error occurred
982 */
983int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
984
985# endif
986
987# define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
988
989# ifndef __cplusplus
990# if defined(__SUNPRO_C)
991# if __SUNPRO_C >= 0x520
992# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
993# endif
994# endif
995# endif
996
997# define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
998 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
999 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1000 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1001
1002# define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1003 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1004 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1005 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1006
1007# define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1008 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1009 EVP_PKEY_OP_DERIVE, \
1010 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1011
1012# define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1013 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1014 EVP_PKEY_OP_DERIVE, \
1015 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1016
1017# define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1018 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1019 EVP_PKEY_OP_DERIVE, \
1020 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1021
1022# define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1023 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1024 EVP_PKEY_OP_DERIVE, \
1025 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1026
1027# define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1028 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1029 EVP_PKEY_OP_DERIVE, \
1030 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
1031
1032# define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1033 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1034 EVP_PKEY_OP_DERIVE, \
1035 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
1036
1037# define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1038 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1039 EVP_PKEY_OP_DERIVE, \
1040 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1041
1042# define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1043 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1044 EVP_PKEY_OP_DERIVE, \
1045 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
1046
1047# define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1048 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1049 EVP_PKEY_OP_DERIVE, \
1050 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
1051
1052# define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1053 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1054 EVP_PKEY_OP_DERIVE, \
1055 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
1056
1057# define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
1058# define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
1059# define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
1060# define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
1061# define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
1062# define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
1063# define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
1064# define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
1065# define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
1066# define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
1067/* KDF types */
1068# define EVP_PKEY_ECDH_KDF_NONE 1
1069# define EVP_PKEY_ECDH_KDF_X9_62 2
1070
1071/* BEGIN ERROR CODES */
1072/*
1073 * The following lines are auto generated by the script mkerr.pl. Any changes
1074 * made after this point may be overwritten when the script is next run.
1075 */
1076void ERR_load_EC_strings(void);
1077
1078/* Error codes for the EC functions. */
1079
1080/* Function codes. */
1081# define EC_F_BN_TO_FELEM 224
1082# define EC_F_COMPUTE_WNAF 143
1083# define EC_F_D2I_ECPARAMETERS 144
1084# define EC_F_D2I_ECPKPARAMETERS 145
1085# define EC_F_D2I_ECPRIVATEKEY 146
1086# define EC_F_DO_EC_KEY_PRINT 221
1087# define EC_F_ECDH_CMS_DECRYPT 238
1088# define EC_F_ECDH_CMS_SET_SHARED_INFO 239
1089# define EC_F_ECKEY_PARAM2TYPE 223
1090# define EC_F_ECKEY_PARAM_DECODE 212
1091# define EC_F_ECKEY_PRIV_DECODE 213
1092# define EC_F_ECKEY_PRIV_ENCODE 214
1093# define EC_F_ECKEY_PUB_DECODE 215
1094# define EC_F_ECKEY_PUB_ENCODE 216
1095# define EC_F_ECKEY_TYPE2PARAM 220
1096# define EC_F_ECPARAMETERS_PRINT 147
1097# define EC_F_ECPARAMETERS_PRINT_FP 148
1098# define EC_F_ECPKPARAMETERS_PRINT 149
1099# define EC_F_ECPKPARAMETERS_PRINT_FP 150
1100# define EC_F_ECP_NISTZ256_GET_AFFINE 240
1101# define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE 243
1102# define EC_F_ECP_NISTZ256_POINTS_MUL 241
1103# define EC_F_ECP_NISTZ256_PRE_COMP_NEW 244
1104# define EC_F_ECP_NISTZ256_SET_WORDS 245
1105# define EC_F_ECP_NISTZ256_WINDOWED_MUL 242
1106# define EC_F_ECP_NIST_MOD_192 203
1107# define EC_F_ECP_NIST_MOD_224 204
1108# define EC_F_ECP_NIST_MOD_256 205
1109# define EC_F_ECP_NIST_MOD_521 206
1110# define EC_F_EC_ASN1_GROUP2CURVE 153
1111# define EC_F_EC_ASN1_GROUP2FIELDID 154
1112# define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1113# define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1114# define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1115# define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1116# define EC_F_EC_EX_DATA_SET_DATA 211
1117# define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1118# define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1119# define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1120# define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1121# define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1122# define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1123# define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1124# define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1125# define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1126# define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1127# define EC_F_EC_GFP_MONT_FIELD_MUL 131
1128# define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1129# define EC_F_EC_GFP_MONT_FIELD_SQR 132
1130# define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1131# define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1132# define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1133# define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1134# define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1135# define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1136# define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1137# define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1138# define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1139# define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1140# define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1141# define EC_F_EC_GFP_NIST_FIELD_MUL 200
1142# define EC_F_EC_GFP_NIST_FIELD_SQR 201
1143# define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1144# define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1145# define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1146# define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1147# define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1148# define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1149# define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1150# define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1151# define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1152# define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1153# define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1154# define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1155# define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1156# define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1157# define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1158# define EC_F_EC_GROUP_CHECK 170
1159# define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1160# define EC_F_EC_GROUP_COPY 106
1161# define EC_F_EC_GROUP_GET0_GENERATOR 139
1162# define EC_F_EC_GROUP_GET_COFACTOR 140
1163# define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1164# define EC_F_EC_GROUP_GET_CURVE_GFP 130
1165# define EC_F_EC_GROUP_GET_DEGREE 173
1166# define EC_F_EC_GROUP_GET_ORDER 141
1167# define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1168# define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1169# define EC_F_EC_GROUP_NEW 108
1170# define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1171# define EC_F_EC_GROUP_NEW_FROM_DATA 175
1172# define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1173# define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1174# define EC_F_EC_GROUP_SET_CURVE_GFP 109
1175# define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1176# define EC_F_EC_GROUP_SET_GENERATOR 111
1177# define EC_F_EC_KEY_CHECK_KEY 177
1178# define EC_F_EC_KEY_COPY 178
1179# define EC_F_EC_KEY_GENERATE_KEY 179
1180# define EC_F_EC_KEY_NEW 182
1181# define EC_F_EC_KEY_PRINT 180
1182# define EC_F_EC_KEY_PRINT_FP 181
1183# define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1184# define EC_F_EC_POINTS_MAKE_AFFINE 136
1185# define EC_F_EC_POINT_ADD 112
1186# define EC_F_EC_POINT_CMP 113
1187# define EC_F_EC_POINT_COPY 114
1188# define EC_F_EC_POINT_DBL 115
1189# define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1190# define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1191# define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1192# define EC_F_EC_POINT_INVERT 210
1193# define EC_F_EC_POINT_IS_AT_INFINITY 118
1194# define EC_F_EC_POINT_IS_ON_CURVE 119
1195# define EC_F_EC_POINT_MAKE_AFFINE 120
1196# define EC_F_EC_POINT_MUL 184
1197# define EC_F_EC_POINT_NEW 121
1198# define EC_F_EC_POINT_OCT2POINT 122
1199# define EC_F_EC_POINT_POINT2OCT 123
1200# define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1201# define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1202# define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1203# define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1204# define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1205# define EC_F_EC_POINT_SET_TO_INFINITY 127
1206# define EC_F_EC_PRE_COMP_DUP 207
1207# define EC_F_EC_PRE_COMP_NEW 196
1208# define EC_F_EC_WNAF_MUL 187
1209# define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1210# define EC_F_I2D_ECPARAMETERS 190
1211# define EC_F_I2D_ECPKPARAMETERS 191
1212# define EC_F_I2D_ECPRIVATEKEY 192
1213# define EC_F_I2O_ECPUBLICKEY 151
1214# define EC_F_NISTP224_PRE_COMP_NEW 227
1215# define EC_F_NISTP256_PRE_COMP_NEW 236
1216# define EC_F_NISTP521_PRE_COMP_NEW 237
1217# define EC_F_O2I_ECPUBLICKEY 152
1218# define EC_F_OLD_EC_PRIV_DECODE 222
1219# define EC_F_PKEY_EC_CTRL 197
1220# define EC_F_PKEY_EC_CTRL_STR 198
1221# define EC_F_PKEY_EC_DERIVE 217
1222# define EC_F_PKEY_EC_KEYGEN 199
1223# define EC_F_PKEY_EC_PARAMGEN 219
1224# define EC_F_PKEY_EC_SIGN 218
1225
1226/* Reason codes. */
1227# define EC_R_ASN1_ERROR 115
1228# define EC_R_ASN1_UNKNOWN_FIELD 116
1229# define EC_R_BIGNUM_OUT_OF_RANGE 144
1230# define EC_R_BUFFER_TOO_SMALL 100
1231# define EC_R_COORDINATES_OUT_OF_RANGE 146
1232# define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1233# define EC_R_DECODE_ERROR 142
1234# define EC_R_DISCRIMINANT_IS_ZERO 118
1235# define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1236# define EC_R_FIELD_TOO_LARGE 143
1237# define EC_R_GF2M_NOT_SUPPORTED 147
1238# define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1239# define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1240# define EC_R_INCOMPATIBLE_OBJECTS 101
1241# define EC_R_INVALID_ARGUMENT 112
1242# define EC_R_INVALID_COMPRESSED_POINT 110
1243# define EC_R_INVALID_COMPRESSION_BIT 109
1244# define EC_R_INVALID_CURVE 141
1245# define EC_R_INVALID_DIGEST 151
1246# define EC_R_INVALID_DIGEST_TYPE 138
1247# define EC_R_INVALID_ENCODING 102
1248# define EC_R_INVALID_FIELD 103
1249# define EC_R_INVALID_FORM 104
1250# define EC_R_INVALID_GROUP_ORDER 122
1251# define EC_R_INVALID_PENTANOMIAL_BASIS 132
1252# define EC_R_INVALID_PRIVATE_KEY 123
1253# define EC_R_INVALID_TRINOMIAL_BASIS 137
1254# define EC_R_KDF_PARAMETER_ERROR 148
1255# define EC_R_KEYS_NOT_SET 140
1256# define EC_R_MISSING_PARAMETERS 124
1257# define EC_R_MISSING_PRIVATE_KEY 125
1258# define EC_R_NOT_A_NIST_PRIME 135
1259# define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1260# define EC_R_NOT_IMPLEMENTED 126
1261# define EC_R_NOT_INITIALIZED 111
1262# define EC_R_NO_FIELD_MOD 133
1263# define EC_R_NO_PARAMETERS_SET 139
1264# define EC_R_PASSED_NULL_PARAMETER 134
1265# define EC_R_PEER_KEY_ERROR 149
1266# define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1267# define EC_R_POINT_AT_INFINITY 106
1268# define EC_R_POINT_IS_NOT_ON_CURVE 107
1269# define EC_R_SHARED_INFO_ERROR 150
1270# define EC_R_SLOT_FULL 108
1271# define EC_R_UNDEFINED_GENERATOR 113
1272# define EC_R_UNDEFINED_ORDER 128
1273# define EC_R_UNKNOWN_GROUP 129
1274# define EC_R_UNKNOWN_ORDER 114
1275# define EC_R_UNSUPPORTED_FIELD 131
1276# define EC_R_WRONG_CURVE_PARAMETERS 145
1277# define EC_R_WRONG_ORDER 130
1278
1279#ifdef __cplusplus
1280}
1281#endif
1282#endif
1283