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1/* $OpenBSD: ec.h,v 1.9 2014/06/12 15:49:29 deraadt Exp $ */
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 * openssl-core@openssl.org.
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 * (eay@cryptsoft.com). This product includes software written by Tim
59 * Hudson (tjh@cryptsoft.com).
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#ifndef OPENSSL_NO_DEPRECATED
87#include <openssl/bn.h>
88#endif
89
90#ifdef __cplusplus
91extern "C" {
92#elif defined(__SUNPRO_C)
93# if __SUNPRO_C >= 0x520
94# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
95# endif
96#endif
97
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 0x02 */
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
116
117typedef struct ec_method_st EC_METHOD;
118
119typedef struct ec_group_st
120 /*
121 EC_METHOD *meth;
122 -- field definition
123 -- curve coefficients
124 -- optional generator with associated information (order, cofactor)
125 -- optional extra data (precomputed table for fast computation of multiples of generator)
126 -- ASN1 stuff
127 */
128 EC_GROUP;
129
130typedef struct ec_point_st EC_POINT;
131
132
133/********************************************************************/
134/* EC_METHODs for curves over GF(p) */
135/********************************************************************/
136
137/** Returns the basic GFp ec methods which provides the basis for the
138 * optimized methods.
139 * \return EC_METHOD object
140 */
141const EC_METHOD *EC_GFp_simple_method(void);
142
143/** Returns GFp methods using montgomery multiplication.
144 * \return EC_METHOD object
145 */
146const EC_METHOD *EC_GFp_mont_method(void);
147
148/** Returns GFp methods using optimized methods for NIST recommended curves
149 * \return EC_METHOD object
150 */
151const EC_METHOD *EC_GFp_nist_method(void);
152
153#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
154/** Returns 64-bit optimized methods for nistp224
155 * \return EC_METHOD object
156 */
157const EC_METHOD *EC_GFp_nistp224_method(void);
158
159/** Returns 64-bit optimized methods for nistp256
160 * \return EC_METHOD object
161 */
162const EC_METHOD *EC_GFp_nistp256_method(void);
163
164/** Returns 64-bit optimized methods for nistp521
165 * \return EC_METHOD object
166 */
167const EC_METHOD *EC_GFp_nistp521_method(void);
168#endif
169
170#ifndef OPENSSL_NO_EC2M
171/********************************************************************/
172/* EC_METHOD for curves over GF(2^m) */
173/********************************************************************/
174
175/** Returns the basic GF2m ec method
176 * \return EC_METHOD object
177 */
178const EC_METHOD *EC_GF2m_simple_method(void);
179
180#endif
181
182
183/********************************************************************/
184/* EC_GROUP functions */
185/********************************************************************/
186
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.
190 */
191EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
192
193/** Frees a EC_GROUP object
194 * \param group EC_GROUP object to be freed.
195 */
196void EC_GROUP_free(EC_GROUP *group);
197
198/** Clears and frees a EC_GROUP object
199 * \param group EC_GROUP object to be cleared and freed.
200 */
201void EC_GROUP_clear_free(EC_GROUP *group);
202
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.
207 */
208int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
209
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.
214 */
215EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
216
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.
220 */
221const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
222
223/** Returns the field type of the EC_METHOD.
224 * \param meth EC_METHOD object
225 * \return NID of the underlying field type OID.
226 */
227int EC_METHOD_get_field_type(const EC_METHOD *meth);
228
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 occured
236 */
237int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
238
239/** Returns the generator of a EC_GROUP object.
240 * \param group EC_GROUP object
241 * \return the currently used generator (possibly NULL).
242 */
243const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
244
245/** Gets the order of a EC_GROUP
246 * \param group EC_GROUP object
247 * \param order BIGNUM to which the order is copied
248 * \param ctx BN_CTX object (optional)
249 * \return 1 on success and 0 if an error occured
250 */
251int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
252
253/** Gets the cofactor of a EC_GROUP
254 * \param group EC_GROUP object
255 * \param cofactor BIGNUM to which the cofactor is copied
256 * \param ctx BN_CTX object (optional)
257 * \return 1 on success and 0 if an error occured
258 */
259int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
260
261/** Sets the name of a EC_GROUP object
262 * \param group EC_GROUP object
263 * \param nid NID of the curve name OID
264 */
265void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
266
267/** Returns the curve name of a EC_GROUP object
268 * \param group EC_GROUP object
269 * \return NID of the curve name OID or 0 if not set.
270 */
271int EC_GROUP_get_curve_name(const EC_GROUP *group);
272
273void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
274int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
275
276void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
277point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
278
279unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
280size_t EC_GROUP_get_seed_len(const EC_GROUP *);
281size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
282
283/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
284 * \param group EC_GROUP object
285 * \param p BIGNUM with the prime number
286 * \param a BIGNUM with parameter a of the equation
287 * \param b BIGNUM with parameter b of the equation
288 * \param ctx BN_CTX object (optional)
289 * \return 1 on success and 0 if an error occured
290 */
291int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
292
293/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
294 * \param group EC_GROUP object
295 * \param p BIGNUM for the prime number
296 * \param a BIGNUM for parameter a of the equation
297 * \param b BIGNUM for parameter b of the equation
298 * \param ctx BN_CTX object (optional)
299 * \return 1 on success and 0 if an error occured
300 */
301int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
302
303#ifndef OPENSSL_NO_EC2M
304/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
305 * \param group EC_GROUP object
306 * \param p BIGNUM with the polynomial defining the underlying field
307 * \param a BIGNUM with parameter a of the equation
308 * \param b BIGNUM with parameter b of the equation
309 * \param ctx BN_CTX object (optional)
310 * \return 1 on success and 0 if an error occured
311 */
312int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
313
314/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
315 * \param group EC_GROUP object
316 * \param p BIGNUM for the polynomial defining the underlying field
317 * \param a BIGNUM for parameter a of the equation
318 * \param b BIGNUM for parameter b of the equation
319 * \param ctx BN_CTX object (optional)
320 * \return 1 on success and 0 if an error occured
321 */
322int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
323#endif
324/** Returns the number of bits needed to represent a field element
325 * \param group EC_GROUP object
326 * \return number of bits needed to represent a field element
327 */
328int EC_GROUP_get_degree(const EC_GROUP *group);
329
330/** Checks whether the parameter in the EC_GROUP define a valid ec group
331 * \param group EC_GROUP object
332 * \param ctx BN_CTX object (optional)
333 * \return 1 if group is a valid ec group and 0 otherwise
334 */
335int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
336
337/** Checks whether the discriminant of the elliptic curve is zero or not
338 * \param group EC_GROUP object
339 * \param ctx BN_CTX object (optional)
340 * \return 1 if the discriminant is not zero and 0 otherwise
341 */
342int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
343
344/** Compares two EC_GROUP objects
345 * \param a first EC_GROUP object
346 * \param b second EC_GROUP object
347 * \param ctx BN_CTX object (optional)
348 * \return 0 if both groups are equal and 1 otherwise
349 */
350int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
351
352/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
353 * after choosing an appropriate EC_METHOD */
354
355/** Creates a new EC_GROUP object with the specified parameters defined
356 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
357 * \param p BIGNUM with the prime number
358 * \param a BIGNUM with the parameter a of the equation
359 * \param b BIGNUM with the parameter b of the equation
360 * \param ctx BN_CTX object (optional)
361 * \return newly created EC_GROUP object with the specified parameters
362 */
363EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
364#ifndef OPENSSL_NO_EC2M
365/** Creates a new EC_GROUP object with the specified parameters defined
366 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
367 * \param p BIGNUM with the polynomial defining the underlying field
368 * \param a BIGNUM with the parameter a of the equation
369 * \param b BIGNUM with the parameter b of the equation
370 * \param ctx BN_CTX object (optional)
371 * \return newly created EC_GROUP object with the specified parameters
372 */
373EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
374#endif
375/** Creates a EC_GROUP object with a curve specified by a NID
376 * \param nid NID of the OID of the curve name
377 * \return newly created EC_GROUP object with specified curve or NULL
378 * if an error occurred
379 */
380EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
381
382
383/********************************************************************/
384/* handling of internal curves */
385/********************************************************************/
386
387typedef struct {
388 int nid;
389 const char *comment;
390 } EC_builtin_curve;
391
392/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
393 * of all available curves or zero if a error occurred.
394 * In case r ist not zero nitems EC_builtin_curve structures
395 * are filled with the data of the first nitems internal groups */
396size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
397
398
399/********************************************************************/
400/* EC_POINT functions */
401/********************************************************************/
402
403/** Creates a new EC_POINT object for the specified EC_GROUP
404 * \param group EC_GROUP the underlying EC_GROUP object
405 * \return newly created EC_POINT object or NULL if an error occurred
406 */
407EC_POINT *EC_POINT_new(const EC_GROUP *group);
408
409/** Frees a EC_POINT object
410 * \param point EC_POINT object to be freed
411 */
412void EC_POINT_free(EC_POINT *point);
413
414/** Clears and frees a EC_POINT object
415 * \param point EC_POINT object to be cleared and freed
416 */
417void EC_POINT_clear_free(EC_POINT *point);
418
419/** Copies EC_POINT object
420 * \param dst destination EC_POINT object
421 * \param src source EC_POINT object
422 * \return 1 on success and 0 if an error occured
423 */
424int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
425
426/** Creates a new EC_POINT object and copies the content of the supplied
427 * EC_POINT
428 * \param src source EC_POINT object
429 * \param group underlying the EC_GROUP object
430 * \return newly created EC_POINT object or NULL if an error occurred
431 */
432EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
433
434/** Returns the EC_METHOD used in EC_POINT object
435 * \param point EC_POINT object
436 * \return the EC_METHOD used
437 */
438const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
439
440/** Sets a point to infinity (neutral element)
441 * \param group underlying EC_GROUP object
442 * \param point EC_POINT to set to infinity
443 * \return 1 on success and 0 if an error occured
444 */
445int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
446
447/** Sets the jacobian projective coordinates of a EC_POINT over GFp
448 * \param group underlying EC_GROUP object
449 * \param p EC_POINT object
450 * \param x BIGNUM with the x-coordinate
451 * \param y BIGNUM with the y-coordinate
452 * \param z BIGNUM with the z-coordinate
453 * \param ctx BN_CTX object (optional)
454 * \return 1 on success and 0 if an error occured
455 */
456int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
457 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
458
459/** Gets the jacobian projective coordinates of a EC_POINT over GFp
460 * \param group underlying EC_GROUP object
461 * \param p EC_POINT object
462 * \param x BIGNUM for the x-coordinate
463 * \param y BIGNUM for the y-coordinate
464 * \param z BIGNUM for the z-coordinate
465 * \param ctx BN_CTX object (optional)
466 * \return 1 on success and 0 if an error occured
467 */
468int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
469 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
470
471/** Sets the affine coordinates of a EC_POINT over GFp
472 * \param group underlying EC_GROUP object
473 * \param p EC_POINT object
474 * \param x BIGNUM with the x-coordinate
475 * \param y BIGNUM with the y-coordinate
476 * \param ctx BN_CTX object (optional)
477 * \return 1 on success and 0 if an error occured
478 */
479int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
480 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
481
482/** Gets the affine coordinates of a EC_POINT over GFp
483 * \param group underlying EC_GROUP object
484 * \param p EC_POINT object
485 * \param x BIGNUM for the x-coordinate
486 * \param y BIGNUM for the y-coordinate
487 * \param ctx BN_CTX object (optional)
488 * \return 1 on success and 0 if an error occured
489 */
490int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
491 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
492
493/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
494 * \param group underlying EC_GROUP object
495 * \param p EC_POINT object
496 * \param x BIGNUM with x-coordinate
497 * \param y_bit integer with the y-Bit (either 0 or 1)
498 * \param ctx BN_CTX object (optional)
499 * \return 1 on success and 0 if an error occured
500 */
501int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
502 const BIGNUM *x, int y_bit, BN_CTX *ctx);
503#ifndef OPENSSL_NO_EC2M
504/** Sets the affine coordinates of a EC_POINT over GF2m
505 * \param group underlying EC_GROUP object
506 * \param p EC_POINT object
507 * \param x BIGNUM with the x-coordinate
508 * \param y BIGNUM with 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_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
513 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
514
515/** Gets the affine coordinates of a EC_POINT over GF2m
516 * \param group underlying EC_GROUP object
517 * \param p EC_POINT object
518 * \param x BIGNUM for the x-coordinate
519 * \param y BIGNUM for the y-coordinate
520 * \param ctx BN_CTX object (optional)
521 * \return 1 on success and 0 if an error occured
522 */
523int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
524 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
525
526/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
527 * \param group underlying EC_GROUP object
528 * \param p EC_POINT object
529 * \param x BIGNUM with x-coordinate
530 * \param y_bit integer with the y-Bit (either 0 or 1)
531 * \param ctx BN_CTX object (optional)
532 * \return 1 on success and 0 if an error occured
533 */
534int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
535 const BIGNUM *x, int y_bit, BN_CTX *ctx);
536#endif
537/** Encodes a EC_POINT object to a octet string
538 * \param group underlying EC_GROUP object
539 * \param p EC_POINT object
540 * \param form point conversion form
541 * \param buf memory buffer for the result. If NULL the function returns
542 * required buffer size.
543 * \param len length of the memory buffer
544 * \param ctx BN_CTX object (optional)
545 * \return the length of the encoded octet string or 0 if an error occurred
546 */
547size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
548 point_conversion_form_t form,
549 unsigned char *buf, size_t len, BN_CTX *ctx);
550
551/** Decodes a EC_POINT from a octet string
552 * \param group underlying EC_GROUP object
553 * \param p EC_POINT object
554 * \param buf memory buffer with the encoded ec point
555 * \param len length of the encoded ec point
556 * \param ctx BN_CTX object (optional)
557 * \return 1 on success and 0 if an error occured
558 */
559int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
560 const unsigned char *buf, size_t len, BN_CTX *ctx);
561
562/* other interfaces to point2oct/oct2point: */
563BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
564 point_conversion_form_t form, BIGNUM *, BN_CTX *);
565EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
566 EC_POINT *, BN_CTX *);
567char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
568 point_conversion_form_t form, BN_CTX *);
569EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
570 EC_POINT *, BN_CTX *);
571
572
573/********************************************************************/
574/* functions for doing EC_POINT arithmetic */
575/********************************************************************/
576
577/** Computes the sum of two EC_POINT
578 * \param group underlying EC_GROUP object
579 * \param r EC_POINT object for the result (r = a + b)
580 * \param a EC_POINT object with the first summand
581 * \param b EC_POINT object with the second summand
582 * \param ctx BN_CTX object (optional)
583 * \return 1 on success and 0 if an error occured
584 */
585int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
586
587/** Computes the double of a EC_POINT
588 * \param group underlying EC_GROUP object
589 * \param r EC_POINT object for the result (r = 2 * a)
590 * \param a EC_POINT object
591 * \param ctx BN_CTX object (optional)
592 * \return 1 on success and 0 if an error occured
593 */
594int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
595
596/** Computes the inverse of a EC_POINT
597 * \param group underlying EC_GROUP object
598 * \param a EC_POINT object to be inverted (it's used for the result as well)
599 * \param ctx BN_CTX object (optional)
600 * \return 1 on success and 0 if an error occured
601 */
602int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
603
604/** Checks whether the point is the neutral element of the group
605 * \param group the underlying EC_GROUP object
606 * \param p EC_POINT object
607 * \return 1 if the point is the neutral element and 0 otherwise
608 */
609int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
610
611/** Checks whether the point is on the curve
612 * \param group underlying EC_GROUP object
613 * \param point EC_POINT object to check
614 * \param ctx BN_CTX object (optional)
615 * \return 1 if point if on the curve and 0 otherwise
616 */
617int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
618
619/** Compares two EC_POINTs
620 * \param group underlying EC_GROUP object
621 * \param a first EC_POINT object
622 * \param b second EC_POINT object
623 * \param ctx BN_CTX object (optional)
624 * \return 0 if both points are equal and a value != 0 otherwise
625 */
626int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
627
628int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
629int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
630
631/** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
632 * \param group underlying EC_GROUP object
633 * \param r EC_POINT object for the result
634 * \param n BIGNUM with the multiplier for the group generator (optional)
635 * \param num number futher summands
636 * \param p array of size num of EC_POINT objects
637 * \param m array of size num of BIGNUM objects
638 * \param ctx BN_CTX object (optional)
639 * \return 1 on success and 0 if an error occured
640 */
641int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
642
643/** Computes r = generator * n + q * m
644 * \param group underlying EC_GROUP object
645 * \param r EC_POINT object for the result
646 * \param n BIGNUM with the multiplier for the group generator (optional)
647 * \param q EC_POINT object with the first factor of the second summand
648 * \param m BIGNUM with the second factor of the second summand
649 * \param ctx BN_CTX object (optional)
650 * \return 1 on success and 0 if an error occured
651 */
652int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
653
654/** Stores multiples of generator for faster point multiplication
655 * \param group EC_GROUP object
656 * \param ctx BN_CTX object (optional)
657 * \return 1 on success and 0 if an error occured
658 */
659int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
660
661/** Reports whether a precomputation has been done
662 * \param group EC_GROUP object
663 * \return 1 if a pre-computation has been done and 0 otherwise
664 */
665int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
666
667
668/********************************************************************/
669/* ASN1 stuff */
670/********************************************************************/
671
672/* EC_GROUP_get_basis_type() returns the NID of the basis type
673 * used to represent the field elements */
674int EC_GROUP_get_basis_type(const EC_GROUP *);
675#ifndef OPENSSL_NO_EC2M
676int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
677int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
678 unsigned int *k2, unsigned int *k3);
679#endif
680
681#define OPENSSL_EC_NAMED_CURVE 0x001
682
683typedef struct ecpk_parameters_st ECPKPARAMETERS;
684
685EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
686int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
687
688#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
689#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
690#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
691 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
692#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
693 (unsigned char *)(x))
694
695#ifndef OPENSSL_NO_BIO
696int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
697#endif
698int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
699
700
701/********************************************************************/
702/* EC_KEY functions */
703/********************************************************************/
704
705typedef struct ec_key_st EC_KEY;
706
707/* some values for the encoding_flag */
708#define EC_PKEY_NO_PARAMETERS 0x001
709#define EC_PKEY_NO_PUBKEY 0x002
710
711/* some values for the flags field */
712#define EC_FLAG_NON_FIPS_ALLOW 0x1
713#define EC_FLAG_FIPS_CHECKED 0x2
714
715/** Creates a new EC_KEY object.
716 * \return EC_KEY object or NULL if an error occurred.
717 */
718EC_KEY *EC_KEY_new(void);
719
720int EC_KEY_get_flags(const EC_KEY *key);
721
722void EC_KEY_set_flags(EC_KEY *key, int flags);
723
724void EC_KEY_clear_flags(EC_KEY *key, int flags);
725
726/** Creates a new EC_KEY object using a named curve as underlying
727 * EC_GROUP object.
728 * \param nid NID of the named curve.
729 * \return EC_KEY object or NULL if an error occurred.
730 */
731EC_KEY *EC_KEY_new_by_curve_name(int nid);
732
733/** Frees a EC_KEY object.
734 * \param key EC_KEY object to be freed.
735 */
736void EC_KEY_free(EC_KEY *key);
737
738/** Copies a EC_KEY object.
739 * \param dst destination EC_KEY object
740 * \param src src EC_KEY object
741 * \return dst or NULL if an error occurred.
742 */
743EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
744
745/** Creates a new EC_KEY object and copies the content from src to it.
746 * \param src the source EC_KEY object
747 * \return newly created EC_KEY object or NULL if an error occurred.
748 */
749EC_KEY *EC_KEY_dup(const EC_KEY *src);
750
751/** Increases the internal reference count of a EC_KEY object.
752 * \param key EC_KEY object
753 * \return 1 on success and 0 if an error occurred.
754 */
755int EC_KEY_up_ref(EC_KEY *key);
756
757/** Returns the EC_GROUP object of a EC_KEY object
758 * \param key EC_KEY object
759 * \return the EC_GROUP object (possibly NULL).
760 */
761const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
762
763/** Sets the EC_GROUP of a EC_KEY object.
764 * \param key EC_KEY object
765 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
766 * object will use an own copy of the EC_GROUP).
767 * \return 1 on success and 0 if an error occurred.
768 */
769int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
770
771/** Returns the private key of a EC_KEY object.
772 * \param key EC_KEY object
773 * \return a BIGNUM with the private key (possibly NULL).
774 */
775const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
776
777/** Sets the private key of a EC_KEY object.
778 * \param key EC_KEY object
779 * \param prv BIGNUM with the private key (note: the EC_KEY object
780 * will use an own copy of the BIGNUM).
781 * \return 1 on success and 0 if an error occurred.
782 */
783int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
784
785/** Returns the public key of a EC_KEY object.
786 * \param key the EC_KEY object
787 * \return a EC_POINT object with the public key (possibly NULL)
788 */
789const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
790
791/** Sets the public key of a EC_KEY object.
792 * \param key EC_KEY object
793 * \param pub EC_POINT object with the public key (note: the EC_KEY object
794 * will use an own copy of the EC_POINT object).
795 * \return 1 on success and 0 if an error occurred.
796 */
797int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
798
799unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
800void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
801point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
802void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
803/* functions to set/get method specific data */
804void *EC_KEY_get_key_method_data(EC_KEY *key,
805 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
806/** Sets the key method data of an EC_KEY object, if none has yet been set.
807 * \param key EC_KEY object
808 * \param data opaque data to install.
809 * \param dup_func a function that duplicates |data|.
810 * \param free_func a function that frees |data|.
811 * \param clear_free_func a function that wipes and frees |data|.
812 * \return the previously set data pointer, or NULL if |data| was inserted.
813 */
814void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
815 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
816/* wrapper functions for the underlying EC_GROUP object */
817void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
818
819/** Creates a table of pre-computed multiples of the generator to
820 * accelerate further EC_KEY operations.
821 * \param key EC_KEY object
822 * \param ctx BN_CTX object (optional)
823 * \return 1 on success and 0 if an error occurred.
824 */
825int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
826
827/** Creates a new ec private (and optional a new public) key.
828 * \param key EC_KEY object
829 * \return 1 on success and 0 if an error occurred.
830 */
831int EC_KEY_generate_key(EC_KEY *key);
832
833/** Verifies that a private and/or public key is valid.
834 * \param key the EC_KEY object
835 * \return 1 on success and 0 otherwise.
836 */
837int EC_KEY_check_key(const EC_KEY *key);
838
839/** Sets a public key from affine coordindates performing
840 * neccessary NIST PKV tests.
841 * \param key the EC_KEY object
842 * \param x public key x coordinate
843 * \param y public key y coordinate
844 * \return 1 on success and 0 otherwise.
845 */
846int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
847
848
849/********************************************************************/
850/* de- and encoding functions for SEC1 ECPrivateKey */
851/********************************************************************/
852
853/** Decodes a private key from a memory buffer.
854 * \param key a pointer to a EC_KEY object which should be used (or NULL)
855 * \param in pointer to memory with the DER encoded private key
856 * \param len length of the DER encoded private key
857 * \return the decoded private key or NULL if an error occurred.
858 */
859EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
860
861/** Encodes a private key object and stores the result in a buffer.
862 * \param key the EC_KEY object to encode
863 * \param out the buffer for the result (if NULL the function returns number
864 * of bytes needed).
865 * \return 1 on success and 0 if an error occurred.
866 */
867int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
868
869
870/********************************************************************/
871/* de- and encoding functions for EC parameters */
872/********************************************************************/
873
874/** Decodes ec parameter from a memory buffer.
875 * \param key a pointer to a EC_KEY object which should be used (or NULL)
876 * \param in pointer to memory with the DER encoded ec parameters
877 * \param len length of the DER encoded ec parameters
878 * \return a EC_KEY object with the decoded parameters or NULL if an error
879 * occurred.
880 */
881EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
882
883/** Encodes ec parameter and stores the result in a buffer.
884 * \param key the EC_KEY object with ec paramters to encode
885 * \param out the buffer for the result (if NULL the function returns number
886 * of bytes needed).
887 * \return 1 on success and 0 if an error occurred.
888 */
889int i2d_ECParameters(EC_KEY *key, unsigned char **out);
890
891
892/********************************************************************/
893/* de- and encoding functions for EC public key */
894/* (octet string, not DER -- hence 'o2i' and 'i2o') */
895/********************************************************************/
896
897/** Decodes a ec public key from a octet string.
898 * \param key a pointer to a EC_KEY object which should be used
899 * \param in memory buffer with the encoded public key
900 * \param len length of the encoded public key
901 * \return EC_KEY object with decoded public key or NULL if an error
902 * occurred.
903 */
904EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
905
906/** Encodes a ec public key in an octet string.
907 * \param key the EC_KEY object with the public key
908 * \param out the buffer for the result (if NULL the function returns number
909 * of bytes needed).
910 * \return 1 on success and 0 if an error occurred
911 */
912int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
913
914#ifndef OPENSSL_NO_BIO
915/** Prints out the ec parameters on human readable form.
916 * \param bp BIO object to which the information is printed
917 * \param key EC_KEY object
918 * \return 1 on success and 0 if an error occurred
919 */
920int ECParameters_print(BIO *bp, const EC_KEY *key);
921
922/** Prints out the contents of a EC_KEY object
923 * \param bp BIO object to which the information is printed
924 * \param key EC_KEY object
925 * \param off line offset
926 * \return 1 on success and 0 if an error occurred
927 */
928int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
929
930#endif
931/** Prints out the ec parameters on human readable form.
932 * \param fp file descriptor to which the information is printed
933 * \param key EC_KEY object
934 * \return 1 on success and 0 if an error occurred
935 */
936int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
937
938/** Prints out the contents of a EC_KEY object
939 * \param fp file descriptor to which the information is printed
940 * \param key EC_KEY object
941 * \param off line offset
942 * \return 1 on success and 0 if an error occurred
943 */
944int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
945
946
947#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
948
949#ifndef __cplusplus
950#if defined(__SUNPRO_C)
951# if __SUNPRO_C >= 0x520
952# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
953# endif
954# endif
955#endif
956
957#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
958 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
959 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
960
961
962#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
963
964/* BEGIN ERROR CODES */
965/* The following lines are auto generated by the script mkerr.pl. Any changes
966 * made after this point may be overwritten when the script is next run.
967 */
968void ERR_load_EC_strings(void);
969
970/* Error codes for the EC functions. */
971
972/* Function codes. */
973#define EC_F_BN_TO_FELEM 224
974#define EC_F_COMPUTE_WNAF 143
975#define EC_F_D2I_ECPARAMETERS 144
976#define EC_F_D2I_ECPKPARAMETERS 145
977#define EC_F_D2I_ECPRIVATEKEY 146
978#define EC_F_DO_EC_KEY_PRINT 221
979#define EC_F_ECKEY_PARAM2TYPE 223
980#define EC_F_ECKEY_PARAM_DECODE 212
981#define EC_F_ECKEY_PRIV_DECODE 213
982#define EC_F_ECKEY_PRIV_ENCODE 214
983#define EC_F_ECKEY_PUB_DECODE 215
984#define EC_F_ECKEY_PUB_ENCODE 216
985#define EC_F_ECKEY_TYPE2PARAM 220
986#define EC_F_ECPARAMETERS_PRINT 147
987#define EC_F_ECPARAMETERS_PRINT_FP 148
988#define EC_F_ECPKPARAMETERS_PRINT 149
989#define EC_F_ECPKPARAMETERS_PRINT_FP 150
990#define EC_F_ECP_NIST_MOD_192 203
991#define EC_F_ECP_NIST_MOD_224 204
992#define EC_F_ECP_NIST_MOD_256 205
993#define EC_F_ECP_NIST_MOD_521 206
994#define EC_F_EC_ASN1_GROUP2CURVE 153
995#define EC_F_EC_ASN1_GROUP2FIELDID 154
996#define EC_F_EC_ASN1_GROUP2PARAMETERS 155
997#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
998#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
999#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1000#define EC_F_EC_EX_DATA_SET_DATA 211
1001#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1002#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1003#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1004#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1005#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1006#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1007#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1008#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1009#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1010#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1011#define EC_F_EC_GFP_MONT_FIELD_MUL 131
1012#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1013#define EC_F_EC_GFP_MONT_FIELD_SQR 132
1014#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1015#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1016#define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1017#define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1018#define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1019#define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1020#define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1021#define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1022#define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1023#define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1024#define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1025#define EC_F_EC_GFP_NIST_FIELD_MUL 200
1026#define EC_F_EC_GFP_NIST_FIELD_SQR 201
1027#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1028#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1029#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1030#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1031#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1032#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1033#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1034#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1035#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1036#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1037#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1038#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1039#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1040#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1041#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1042#define EC_F_EC_GROUP_CHECK 170
1043#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1044#define EC_F_EC_GROUP_COPY 106
1045#define EC_F_EC_GROUP_GET0_GENERATOR 139
1046#define EC_F_EC_GROUP_GET_COFACTOR 140
1047#define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1048#define EC_F_EC_GROUP_GET_CURVE_GFP 130
1049#define EC_F_EC_GROUP_GET_DEGREE 173
1050#define EC_F_EC_GROUP_GET_ORDER 141
1051#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1052#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1053#define EC_F_EC_GROUP_NEW 108
1054#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1055#define EC_F_EC_GROUP_NEW_FROM_DATA 175
1056#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1057#define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1058#define EC_F_EC_GROUP_SET_CURVE_GFP 109
1059#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1060#define EC_F_EC_GROUP_SET_GENERATOR 111
1061#define EC_F_EC_KEY_CHECK_KEY 177
1062#define EC_F_EC_KEY_COPY 178
1063#define EC_F_EC_KEY_GENERATE_KEY 179
1064#define EC_F_EC_KEY_NEW 182
1065#define EC_F_EC_KEY_PRINT 180
1066#define EC_F_EC_KEY_PRINT_FP 181
1067#define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1068#define EC_F_EC_POINTS_MAKE_AFFINE 136
1069#define EC_F_EC_POINT_ADD 112
1070#define EC_F_EC_POINT_CMP 113
1071#define EC_F_EC_POINT_COPY 114
1072#define EC_F_EC_POINT_DBL 115
1073#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1074#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1075#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1076#define EC_F_EC_POINT_INVERT 210
1077#define EC_F_EC_POINT_IS_AT_INFINITY 118
1078#define EC_F_EC_POINT_IS_ON_CURVE 119
1079#define EC_F_EC_POINT_MAKE_AFFINE 120
1080#define EC_F_EC_POINT_MUL 184
1081#define EC_F_EC_POINT_NEW 121
1082#define EC_F_EC_POINT_OCT2POINT 122
1083#define EC_F_EC_POINT_POINT2OCT 123
1084#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1085#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1086#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1087#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1088#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1089#define EC_F_EC_POINT_SET_TO_INFINITY 127
1090#define EC_F_EC_PRE_COMP_DUP 207
1091#define EC_F_EC_PRE_COMP_NEW 196
1092#define EC_F_EC_WNAF_MUL 187
1093#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1094#define EC_F_I2D_ECPARAMETERS 190
1095#define EC_F_I2D_ECPKPARAMETERS 191
1096#define EC_F_I2D_ECPRIVATEKEY 192
1097#define EC_F_I2O_ECPUBLICKEY 151
1098#define EC_F_NISTP224_PRE_COMP_NEW 227
1099#define EC_F_NISTP256_PRE_COMP_NEW 236
1100#define EC_F_NISTP521_PRE_COMP_NEW 237
1101#define EC_F_O2I_ECPUBLICKEY 152
1102#define EC_F_OLD_EC_PRIV_DECODE 222
1103#define EC_F_PKEY_EC_CTRL 197
1104#define EC_F_PKEY_EC_CTRL_STR 198
1105#define EC_F_PKEY_EC_DERIVE 217
1106#define EC_F_PKEY_EC_KEYGEN 199
1107#define EC_F_PKEY_EC_PARAMGEN 219
1108#define EC_F_PKEY_EC_SIGN 218
1109
1110/* Reason codes. */
1111#define EC_R_ASN1_ERROR 115
1112#define EC_R_ASN1_UNKNOWN_FIELD 116
1113#define EC_R_BIGNUM_OUT_OF_RANGE 144
1114#define EC_R_BUFFER_TOO_SMALL 100
1115#define EC_R_COORDINATES_OUT_OF_RANGE 146
1116#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1117#define EC_R_DECODE_ERROR 142
1118#define EC_R_DISCRIMINANT_IS_ZERO 118
1119#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1120#define EC_R_FIELD_TOO_LARGE 143
1121#define EC_R_GF2M_NOT_SUPPORTED 147
1122#define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1123#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1124#define EC_R_INCOMPATIBLE_OBJECTS 101
1125#define EC_R_INVALID_ARGUMENT 112
1126#define EC_R_INVALID_COMPRESSED_POINT 110
1127#define EC_R_INVALID_COMPRESSION_BIT 109
1128#define EC_R_INVALID_CURVE 141
1129#define EC_R_INVALID_DIGEST_TYPE 138
1130#define EC_R_INVALID_ENCODING 102
1131#define EC_R_INVALID_FIELD 103
1132#define EC_R_INVALID_FORM 104
1133#define EC_R_INVALID_GROUP_ORDER 122
1134#define EC_R_INVALID_PENTANOMIAL_BASIS 132
1135#define EC_R_INVALID_PRIVATE_KEY 123
1136#define EC_R_INVALID_TRINOMIAL_BASIS 137
1137#define EC_R_KEYS_NOT_SET 140
1138#define EC_R_MISSING_PARAMETERS 124
1139#define EC_R_MISSING_PRIVATE_KEY 125
1140#define EC_R_NOT_A_NIST_PRIME 135
1141#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1142#define EC_R_NOT_IMPLEMENTED 126
1143#define EC_R_NOT_INITIALIZED 111
1144#define EC_R_NO_FIELD_MOD 133
1145#define EC_R_NO_PARAMETERS_SET 139
1146#define EC_R_PASSED_NULL_PARAMETER 134
1147#define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1148#define EC_R_POINT_AT_INFINITY 106
1149#define EC_R_POINT_IS_NOT_ON_CURVE 107
1150#define EC_R_SLOT_FULL 108
1151#define EC_R_UNDEFINED_GENERATOR 113
1152#define EC_R_UNDEFINED_ORDER 128
1153#define EC_R_UNKNOWN_GROUP 129
1154#define EC_R_UNKNOWN_ORDER 114
1155#define EC_R_UNSUPPORTED_FIELD 131
1156#define EC_R_WRONG_CURVE_PARAMETERS 145
1157#define EC_R_WRONG_ORDER 130
1158
1159#ifdef __cplusplus
1160}
1161#endif
1162#endif
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-08-14 20:01:54 +0000