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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 * 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#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
100#ifndef OPENSSL_ECC_MAX_FIELD_BITS
101# define OPENSSL_ECC_MAX_FIELD_BITS 661
102#endif
103
104/** Enum for the point conversion form as defined in X9.62 (ECDSA)
105 * for the encoding of a elliptic curve point (x,y) */
106typedef enum {
107 /** the point is encoded as z||x, where the octet z specifies
108 * which solution of the quadratic equation y is */
109 POINT_CONVERSION_COMPRESSED = 2,
110 /** the point is encoded as z||x||y, where z is the octet 0x02 */
111 POINT_CONVERSION_UNCOMPRESSED = 4,
112 /** the point is encoded as z||x||y, where the octet z specifies
113 * which solution of the quadratic equation y is */
114 POINT_CONVERSION_HYBRID = 6
115} point_conversion_form_t;
116
117
118typedef struct ec_method_st EC_METHOD;
119
120typedef struct ec_group_st
121 /*
122 EC_METHOD *meth;
123 -- field definition
124 -- curve coefficients
125 -- optional generator with associated information (order, cofactor)
126 -- optional extra data (precomputed table for fast computation of multiples of generator)
127 -- ASN1 stuff
128 */
129 EC_GROUP;
130
131typedef struct ec_point_st EC_POINT;
132
133
134/********************************************************************/
135/* EC_METHODs for curves over GF(p) */
136/********************************************************************/
137
138/** Returns the basic GFp ec methods which provides the basis for the
139 * optimized methods.
140 * \return EC_METHOD object
141 */
142const EC_METHOD *EC_GFp_simple_method(void);
143
144/** Returns GFp methods using montgomery multiplication.
145 * \return EC_METHOD object
146 */
147const EC_METHOD *EC_GFp_mont_method(void);
148
149/** Returns GFp methods using optimized methods for NIST recommended curves
150 * \return EC_METHOD object
151 */
152const EC_METHOD *EC_GFp_nist_method(void);
153
154#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
155/** Returns 64-bit optimized methods for nistp224
156 * \return EC_METHOD object
157 */
158const EC_METHOD *EC_GFp_nistp224_method(void);
159
160/** Returns 64-bit optimized methods for nistp256
161 * \return EC_METHOD object
162 */
163const EC_METHOD *EC_GFp_nistp256_method(void);
164
165/** Returns 64-bit optimized methods for nistp521
166 * \return EC_METHOD object
167 */
168const EC_METHOD *EC_GFp_nistp521_method(void);
169#endif
170
171#ifndef OPENSSL_NO_EC2M
172/********************************************************************/
173/* EC_METHOD for curves over GF(2^m) */
174/********************************************************************/
175
176/** Returns the basic GF2m ec method
177 * \return EC_METHOD object
178 */
179const EC_METHOD *EC_GF2m_simple_method(void);
180
181#endif
182
183
184/********************************************************************/
185/* EC_GROUP functions */
186/********************************************************************/
187
188/** Creates a new EC_GROUP object
189 * \param meth EC_METHOD to use
190 * \return newly created EC_GROUP object or NULL in case of an error.
191 */
192EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
193
194/** Frees a EC_GROUP object
195 * \param group EC_GROUP object to be freed.
196 */
197void EC_GROUP_free(EC_GROUP *group);
198
199/** Clears and frees a EC_GROUP object
200 * \param group EC_GROUP object to be cleared and freed.
201 */
202void EC_GROUP_clear_free(EC_GROUP *group);
203
204/** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
205 * \param dst destination EC_GROUP object
206 * \param src source EC_GROUP object
207 * \return 1 on success and 0 if an error occurred.
208 */
209int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
210
211/** Creates a new EC_GROUP object and copies the copies the content
212 * form src to the newly created EC_KEY object
213 * \param src source EC_GROUP object
214 * \return newly created EC_GROUP object or NULL in case of an error.
215 */
216EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
217
218/** Returns the EC_METHOD of the EC_GROUP object.
219 * \param group EC_GROUP object
220 * \return EC_METHOD used in this EC_GROUP object.
221 */
222const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
223
224/** Returns the field type of the EC_METHOD.
225 * \param meth EC_METHOD object
226 * \return NID of the underlying field type OID.
227 */
228int EC_METHOD_get_field_type(const EC_METHOD *meth);
229
230/** Sets the generator and it's order/cofactor of a EC_GROUP object.
231 * \param group EC_GROUP object
232 * \param generator EC_POINT object with the generator.
233 * \param order the order of the group generated by the generator.
234 * \param cofactor the index of the sub-group generated by the generator
235 * in the group of all points on the elliptic curve.
236 * \return 1 on success and 0 if an error occured
237 */
238int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
239
240/** Returns the generator of a EC_GROUP object.
241 * \param group EC_GROUP object
242 * \return the currently used generator (possibly NULL).
243 */
244const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
245
246/** Gets the order of a EC_GROUP
247 * \param group EC_GROUP object
248 * \param order BIGNUM to which the order is copied
249 * \param ctx BN_CTX object (optional)
250 * \return 1 on success and 0 if an error occured
251 */
252int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
253
254/** Gets the cofactor of a EC_GROUP
255 * \param group EC_GROUP object
256 * \param cofactor BIGNUM to which the cofactor is copied
257 * \param ctx BN_CTX object (optional)
258 * \return 1 on success and 0 if an error occured
259 */
260int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
261
262/** Sets the name of a EC_GROUP object
263 * \param group EC_GROUP object
264 * \param nid NID of the curve name OID
265 */
266void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
267
268/** Returns the curve name of a EC_GROUP object
269 * \param group EC_GROUP object
270 * \return NID of the curve name OID or 0 if not set.
271 */
272int EC_GROUP_get_curve_name(const EC_GROUP *group);
273
274void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
275int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
276
277void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
278point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
279
280unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
281size_t EC_GROUP_get_seed_len(const EC_GROUP *);
282size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
283
284/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
285 * \param group EC_GROUP object
286 * \param p BIGNUM with the prime number
287 * \param a BIGNUM with parameter a of the equation
288 * \param b BIGNUM with parameter b of the equation
289 * \param ctx BN_CTX object (optional)
290 * \return 1 on success and 0 if an error occured
291 */
292int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
293
294/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
295 * \param group EC_GROUP object
296 * \param p BIGNUM for the prime number
297 * \param a BIGNUM for parameter a of the equation
298 * \param b BIGNUM for parameter b of the equation
299 * \param ctx BN_CTX object (optional)
300 * \return 1 on success and 0 if an error occured
301 */
302int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
303
304#ifndef OPENSSL_NO_EC2M
305/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
306 * \param group EC_GROUP object
307 * \param p BIGNUM with the polynomial defining the underlying field
308 * \param a BIGNUM with parameter a of the equation
309 * \param b BIGNUM with parameter b of the equation
310 * \param ctx BN_CTX object (optional)
311 * \return 1 on success and 0 if an error occured
312 */
313int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
314
315/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
316 * \param group EC_GROUP object
317 * \param p BIGNUM for the polynomial defining the underlying field
318 * \param a BIGNUM for parameter a of the equation
319 * \param b BIGNUM for parameter b of the equation
320 * \param ctx BN_CTX object (optional)
321 * \return 1 on success and 0 if an error occured
322 */
323int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
324#endif
325/** Returns the number of bits needed to represent a field element
326 * \param group EC_GROUP object
327 * \return number of bits needed to represent a field element
328 */
329int EC_GROUP_get_degree(const EC_GROUP *group);
330
331/** Checks whether the parameter in the EC_GROUP define a valid ec group
332 * \param group EC_GROUP object
333 * \param ctx BN_CTX object (optional)
334 * \return 1 if group is a valid ec group and 0 otherwise
335 */
336int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
337
338/** Checks whether the discriminant of the elliptic curve is zero or not
339 * \param group EC_GROUP object
340 * \param ctx BN_CTX object (optional)
341 * \return 1 if the discriminant is not zero and 0 otherwise
342 */
343int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
344
345/** Compares two EC_GROUP objects
346 * \param a first EC_GROUP object
347 * \param b second EC_GROUP object
348 * \param ctx BN_CTX object (optional)
349 * \return 0 if both groups are equal and 1 otherwise
350 */
351int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
352
353/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
354 * after choosing an appropriate EC_METHOD */
355
356/** Creates a new EC_GROUP object with the specified parameters defined
357 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
358 * \param p BIGNUM with the prime number
359 * \param a BIGNUM with the parameter a of the equation
360 * \param b BIGNUM with the parameter b of the equation
361 * \param ctx BN_CTX object (optional)
362 * \return newly created EC_GROUP object with the specified parameters
363 */
364EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
365#ifndef OPENSSL_NO_EC2M
366/** Creates a new EC_GROUP object with the specified parameters defined
367 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
368 * \param p BIGNUM with the polynomial defining the underlying field
369 * \param a BIGNUM with the parameter a of the equation
370 * \param b BIGNUM with the parameter b of the equation
371 * \param ctx BN_CTX object (optional)
372 * \return newly created EC_GROUP object with the specified parameters
373 */
374EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
375#endif
376/** Creates a EC_GROUP object with a curve specified by a NID
377 * \param nid NID of the OID of the curve name
378 * \return newly created EC_GROUP object with specified curve or NULL
379 * if an error occurred
380 */
381EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
382
383
384/********************************************************************/
385/* handling of internal curves */
386/********************************************************************/
387
388typedef struct {
389 int nid;
390 const char *comment;
391 } EC_builtin_curve;
392
393/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
394 * of all available curves or zero if a error occurred.
395 * In case r ist not zero nitems EC_builtin_curve structures
396 * are filled with the data of the first nitems internal groups */
397size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
398
399
400/********************************************************************/
401/* EC_POINT functions */
402/********************************************************************/
403
404/** Creates a new EC_POINT object for the specified EC_GROUP
405 * \param group EC_GROUP the underlying EC_GROUP object
406 * \return newly created EC_POINT object or NULL if an error occurred
407 */
408EC_POINT *EC_POINT_new(const EC_GROUP *group);
409
410/** Frees a EC_POINT object
411 * \param point EC_POINT object to be freed
412 */
413void EC_POINT_free(EC_POINT *point);
414
415/** Clears and frees a EC_POINT object
416 * \param point EC_POINT object to be cleared and freed
417 */
418void EC_POINT_clear_free(EC_POINT *point);
419
420/** Copies EC_POINT object
421 * \param dst destination EC_POINT object
422 * \param src source EC_POINT object
423 * \return 1 on success and 0 if an error occured
424 */
425int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
426
427/** Creates a new EC_POINT object and copies the content of the supplied
428 * EC_POINT
429 * \param src source EC_POINT object
430 * \param group underlying the EC_GROUP object
431 * \return newly created EC_POINT object or NULL if an error occurred
432 */
433EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
434
435/** Returns the EC_METHOD used in EC_POINT object
436 * \param point EC_POINT object
437 * \return the EC_METHOD used
438 */
439const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
440
441/** Sets a point to infinity (neutral element)
442 * \param group underlying EC_GROUP object
443 * \param point EC_POINT to set to infinity
444 * \return 1 on success and 0 if an error occured
445 */
446int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
447
448/** Sets the jacobian projective coordinates of a EC_POINT over GFp
449 * \param group underlying EC_GROUP object
450 * \param p EC_POINT object
451 * \param x BIGNUM with the x-coordinate
452 * \param y BIGNUM with the y-coordinate
453 * \param z BIGNUM with the z-coordinate
454 * \param ctx BN_CTX object (optional)
455 * \return 1 on success and 0 if an error occured
456 */
457int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
458 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
459
460/** Gets the jacobian projective coordinates of a EC_POINT over GFp
461 * \param group underlying EC_GROUP object
462 * \param p EC_POINT object
463 * \param x BIGNUM for the x-coordinate
464 * \param y BIGNUM for the y-coordinate
465 * \param z BIGNUM for the z-coordinate
466 * \param ctx BN_CTX object (optional)
467 * \return 1 on success and 0 if an error occured
468 */
469int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
470 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
471
472/** Sets the affine coordinates of a EC_POINT over GFp
473 * \param group underlying EC_GROUP object
474 * \param p EC_POINT object
475 * \param x BIGNUM with the x-coordinate
476 * \param y BIGNUM with the y-coordinate
477 * \param ctx BN_CTX object (optional)
478 * \return 1 on success and 0 if an error occured
479 */
480int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
481 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
482
483/** Gets the affine coordinates of a EC_POINT over GFp
484 * \param group underlying EC_GROUP object
485 * \param p EC_POINT object
486 * \param x BIGNUM for the x-coordinate
487 * \param y BIGNUM for the y-coordinate
488 * \param ctx BN_CTX object (optional)
489 * \return 1 on success and 0 if an error occured
490 */
491int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
492 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
493
494/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
495 * \param group underlying EC_GROUP object
496 * \param p EC_POINT object
497 * \param x BIGNUM with x-coordinate
498 * \param y_bit integer with the y-Bit (either 0 or 1)
499 * \param ctx BN_CTX object (optional)
500 * \return 1 on success and 0 if an error occured
501 */
502int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
503 const BIGNUM *x, int y_bit, BN_CTX *ctx);
504#ifndef OPENSSL_NO_EC2M
505/** Sets the affine coordinates of a EC_POINT over GF2m
506 * \param group underlying EC_GROUP object
507 * \param p EC_POINT object
508 * \param x BIGNUM with the x-coordinate
509 * \param y BIGNUM with the y-coordinate
510 * \param ctx BN_CTX object (optional)
511 * \return 1 on success and 0 if an error occured
512 */
513int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
514 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
515
516/** Gets the affine coordinates of a EC_POINT over GF2m
517 * \param group underlying EC_GROUP object
518 * \param p EC_POINT object
519 * \param x BIGNUM for the x-coordinate
520 * \param y BIGNUM for the y-coordinate
521 * \param ctx BN_CTX object (optional)
522 * \return 1 on success and 0 if an error occured
523 */
524int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
525 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
526
527/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
528 * \param group underlying EC_GROUP object
529 * \param p EC_POINT object
530 * \param x BIGNUM with x-coordinate
531 * \param y_bit integer with the y-Bit (either 0 or 1)
532 * \param ctx BN_CTX object (optional)
533 * \return 1 on success and 0 if an error occured
534 */
535int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
536 const BIGNUM *x, int y_bit, BN_CTX *ctx);
537#endif
538/** Encodes a EC_POINT object to a octet string
539 * \param group underlying EC_GROUP object
540 * \param p EC_POINT object
541 * \param form point conversion form
542 * \param buf memory buffer for the result. If NULL the function returns
543 * required buffer size.
544 * \param len length of the memory buffer
545 * \param ctx BN_CTX object (optional)
546 * \return the length of the encoded octet string or 0 if an error occurred
547 */
548size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
549 point_conversion_form_t form,
550 unsigned char *buf, size_t len, BN_CTX *ctx);
551
552/** Decodes a EC_POINT from a octet string
553 * \param group underlying EC_GROUP object
554 * \param p EC_POINT object
555 * \param buf memory buffer with the encoded ec point
556 * \param len length of the encoded ec point
557 * \param ctx BN_CTX object (optional)
558 * \return 1 on success and 0 if an error occured
559 */
560int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
561 const unsigned char *buf, size_t len, BN_CTX *ctx);
562
563/* other interfaces to point2oct/oct2point: */
564BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
565 point_conversion_form_t form, BIGNUM *, BN_CTX *);
566EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
567 EC_POINT *, BN_CTX *);
568char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
569 point_conversion_form_t form, BN_CTX *);
570EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
571 EC_POINT *, BN_CTX *);
572
573
574/********************************************************************/
575/* functions for doing EC_POINT arithmetic */
576/********************************************************************/
577
578/** Computes the sum of two EC_POINT
579 * \param group underlying EC_GROUP object
580 * \param r EC_POINT object for the result (r = a + b)
581 * \param a EC_POINT object with the first summand
582 * \param b EC_POINT object with the second summand
583 * \param ctx BN_CTX object (optional)
584 * \return 1 on success and 0 if an error occured
585 */
586int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
587
588/** Computes the double of a EC_POINT
589 * \param group underlying EC_GROUP object
590 * \param r EC_POINT object for the result (r = 2 * a)
591 * \param a EC_POINT object
592 * \param ctx BN_CTX object (optional)
593 * \return 1 on success and 0 if an error occured
594 */
595int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
596
597/** Computes the inverse of a EC_POINT
598 * \param group underlying EC_GROUP object
599 * \param a EC_POINT object to be inverted (it's used for the result as well)
600 * \param ctx BN_CTX object (optional)
601 * \return 1 on success and 0 if an error occured
602 */
603int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
604
605/** Checks whether the point is the neutral element of the group
606 * \param group the underlying EC_GROUP object
607 * \param p EC_POINT object
608 * \return 1 if the point is the neutral element and 0 otherwise
609 */
610int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
611
612/** Checks whether the point is on the curve
613 * \param group underlying EC_GROUP object
614 * \param point EC_POINT object to check
615 * \param ctx BN_CTX object (optional)
616 * \return 1 if point if on the curve and 0 otherwise
617 */
618int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
619
620/** Compares two EC_POINTs
621 * \param group underlying EC_GROUP object
622 * \param a first EC_POINT object
623 * \param b second EC_POINT object
624 * \param ctx BN_CTX object (optional)
625 * \return 0 if both points are equal and a value != 0 otherwise
626 */
627int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
628
629int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
630int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
631
632/** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
633 * \param group underlying EC_GROUP object
634 * \param r EC_POINT object for the result
635 * \param n BIGNUM with the multiplier for the group generator (optional)
636 * \param num number futher summands
637 * \param p array of size num of EC_POINT objects
638 * \param m array of size num of BIGNUM objects
639 * \param ctx BN_CTX object (optional)
640 * \return 1 on success and 0 if an error occured
641 */
642int 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);
643
644/** Computes r = generator * n + q * m
645 * \param group underlying EC_GROUP object
646 * \param r EC_POINT object for the result
647 * \param n BIGNUM with the multiplier for the group generator (optional)
648 * \param q EC_POINT object with the first factor of the second summand
649 * \param m BIGNUM with the second factor of the second summand
650 * \param ctx BN_CTX object (optional)
651 * \return 1 on success and 0 if an error occured
652 */
653int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
654
655/** Stores multiples of generator for faster point multiplication
656 * \param group EC_GROUP object
657 * \param ctx BN_CTX object (optional)
658 * \return 1 on success and 0 if an error occured
659 */
660int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
661
662/** Reports whether a precomputation has been done
663 * \param group EC_GROUP object
664 * \return 1 if a pre-computation has been done and 0 otherwise
665 */
666int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
667
668
669/********************************************************************/
670/* ASN1 stuff */
671/********************************************************************/
672
673/* EC_GROUP_get_basis_type() returns the NID of the basis type
674 * used to represent the field elements */
675int EC_GROUP_get_basis_type(const EC_GROUP *);
676#ifndef OPENSSL_NO_EC2M
677int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
678int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
679 unsigned int *k2, unsigned int *k3);
680#endif
681
682#define OPENSSL_EC_NAMED_CURVE 0x001
683
684typedef struct ecpk_parameters_st ECPKPARAMETERS;
685
686EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
687int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
688
689#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
690#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
691#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
692 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
693#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
694 (unsigned char *)(x))
695
696#ifndef OPENSSL_NO_BIO
697int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
698#endif
699#ifndef OPENSSL_NO_FP_API
700int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
701#endif
702
703
704/********************************************************************/
705/* EC_KEY functions */
706/********************************************************************/
707
708typedef struct ec_key_st EC_KEY;
709
710/* some values for the encoding_flag */
711#define EC_PKEY_NO_PARAMETERS 0x001
712#define EC_PKEY_NO_PUBKEY 0x002
713
714/* some values for the flags field */
715#define EC_FLAG_NON_FIPS_ALLOW 0x1
716#define EC_FLAG_FIPS_CHECKED 0x2
717
718/** Creates a new EC_KEY object.
719 * \return EC_KEY object or NULL if an error occurred.
720 */
721EC_KEY *EC_KEY_new(void);
722
723int EC_KEY_get_flags(const EC_KEY *key);
724
725void EC_KEY_set_flags(EC_KEY *key, int flags);
726
727void EC_KEY_clear_flags(EC_KEY *key, int flags);
728
729/** Creates a new EC_KEY object using a named curve as underlying
730 * EC_GROUP object.
731 * \param nid NID of the named curve.
732 * \return EC_KEY object or NULL if an error occurred.
733 */
734EC_KEY *EC_KEY_new_by_curve_name(int nid);
735
736/** Frees a EC_KEY object.
737 * \param key EC_KEY object to be freed.
738 */
739void EC_KEY_free(EC_KEY *key);
740
741/** Copies a EC_KEY object.
742 * \param dst destination EC_KEY object
743 * \param src src EC_KEY object
744 * \return dst or NULL if an error occurred.
745 */
746EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
747
748/** Creates a new EC_KEY object and copies the content from src to it.
749 * \param src the source EC_KEY object
750 * \return newly created EC_KEY object or NULL if an error occurred.
751 */
752EC_KEY *EC_KEY_dup(const EC_KEY *src);
753
754/** Increases the internal reference count of a EC_KEY object.
755 * \param key EC_KEY object
756 * \return 1 on success and 0 if an error occurred.
757 */
758int EC_KEY_up_ref(EC_KEY *key);
759
760/** Returns the EC_GROUP object of a EC_KEY object
761 * \param key EC_KEY object
762 * \return the EC_GROUP object (possibly NULL).
763 */
764const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
765
766/** Sets the EC_GROUP of a EC_KEY object.
767 * \param key EC_KEY object
768 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
769 * object will use an own copy of the EC_GROUP).
770 * \return 1 on success and 0 if an error occurred.
771 */
772int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
773
774/** Returns the private key of a EC_KEY object.
775 * \param key EC_KEY object
776 * \return a BIGNUM with the private key (possibly NULL).
777 */
778const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
779
780/** Sets the private key of a EC_KEY object.
781 * \param key EC_KEY object
782 * \param prv BIGNUM with the private key (note: the EC_KEY object
783 * will use an own copy of the BIGNUM).
784 * \return 1 on success and 0 if an error occurred.
785 */
786int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
787
788/** Returns the public key of a EC_KEY object.
789 * \param key the EC_KEY object
790 * \return a EC_POINT object with the public key (possibly NULL)
791 */
792const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
793
794/** Sets the public key of a EC_KEY object.
795 * \param key EC_KEY object
796 * \param pub EC_POINT object with the public key (note: the EC_KEY object
797 * will use an own copy of the EC_POINT object).
798 * \return 1 on success and 0 if an error occurred.
799 */
800int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
801
802unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
803void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
804point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
805void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
806/* functions to set/get method specific data */
807void *EC_KEY_get_key_method_data(EC_KEY *,
808 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
809void EC_KEY_insert_key_method_data(EC_KEY *, void *data,
810 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
811/* wrapper functions for the underlying EC_GROUP object */
812void EC_KEY_set_asn1_flag(EC_KEY *, int);
813
814/** Creates a table of pre-computed multiples of the generator to
815 * accelerate further EC_KEY operations.
816 * \param key EC_KEY object
817 * \param ctx BN_CTX object (optional)
818 * \return 1 on success and 0 if an error occurred.
819 */
820int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
821
822/** Creates a new ec private (and optional a new public) key.
823 * \param key EC_KEY object
824 * \return 1 on success and 0 if an error occurred.
825 */
826int EC_KEY_generate_key(EC_KEY *key);
827
828/** Verifies that a private and/or public key is valid.
829 * \param key the EC_KEY object
830 * \return 1 on success and 0 otherwise.
831 */
832int EC_KEY_check_key(const EC_KEY *key);
833
834/** Sets a public key from affine coordindates performing
835 * neccessary NIST PKV tests.
836 * \param key the EC_KEY object
837 * \param x public key x coordinate
838 * \param y public key y coordinate
839 * \return 1 on success and 0 otherwise.
840 */
841int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
842
843
844/********************************************************************/
845/* de- and encoding functions for SEC1 ECPrivateKey */
846/********************************************************************/
847
848/** Decodes a private key from a memory buffer.
849 * \param key a pointer to a EC_KEY object which should be used (or NULL)
850 * \param in pointer to memory with the DER encoded private key
851 * \param len length of the DER encoded private key
852 * \return the decoded private key or NULL if an error occurred.
853 */
854EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
855
856/** Encodes a private key object and stores the result in a buffer.
857 * \param key the EC_KEY object to encode
858 * \param out the buffer for the result (if NULL the function returns number
859 * of bytes needed).
860 * \return 1 on success and 0 if an error occurred.
861 */
862int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
863
864
865/********************************************************************/
866/* de- and encoding functions for EC parameters */
867/********************************************************************/
868
869/** Decodes ec parameter from a memory buffer.
870 * \param key a pointer to a EC_KEY object which should be used (or NULL)
871 * \param in pointer to memory with the DER encoded ec parameters
872 * \param len length of the DER encoded ec parameters
873 * \return a EC_KEY object with the decoded parameters or NULL if an error
874 * occurred.
875 */
876EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
877
878/** Encodes ec parameter and stores the result in a buffer.
879 * \param key the EC_KEY object with ec paramters to encode
880 * \param out the buffer for the result (if NULL the function returns number
881 * of bytes needed).
882 * \return 1 on success and 0 if an error occurred.
883 */
884int i2d_ECParameters(EC_KEY *key, unsigned char **out);
885
886
887/********************************************************************/
888/* de- and encoding functions for EC public key */
889/* (octet string, not DER -- hence 'o2i' and 'i2o') */
890/********************************************************************/
891
892/** Decodes a ec public key from a octet string.
893 * \param key a pointer to a EC_KEY object which should be used
894 * \param in memory buffer with the encoded public key
895 * \param len length of the encoded public key
896 * \return EC_KEY object with decoded public key or NULL if an error
897 * occurred.
898 */
899EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
900
901/** Encodes a ec public key in an octet string.
902 * \param key the EC_KEY object with the public key
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 i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
908
909#ifndef OPENSSL_NO_BIO
910/** Prints out the ec parameters on human readable form.
911 * \param bp BIO object to which the information is printed
912 * \param key EC_KEY object
913 * \return 1 on success and 0 if an error occurred
914 */
915int ECParameters_print(BIO *bp, const EC_KEY *key);
916
917/** Prints out the contents of a EC_KEY object
918 * \param bp BIO object to which the information is printed
919 * \param key EC_KEY object
920 * \param off line offset
921 * \return 1 on success and 0 if an error occurred
922 */
923int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
924
925#endif
926#ifndef OPENSSL_NO_FP_API
927/** Prints out the ec parameters on human readable form.
928 * \param fp file descriptor to which the information is printed
929 * \param key EC_KEY object
930 * \return 1 on success and 0 if an error occurred
931 */
932int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
933
934/** Prints out the contents of a EC_KEY object
935 * \param fp file descriptor to which the information is printed
936 * \param key EC_KEY object
937 * \param off line offset
938 * \return 1 on success and 0 if an error occurred
939 */
940int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
941
942#endif
943
944#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
945
946#ifndef __cplusplus
947#if defined(__SUNPRO_C)
948# if __SUNPRO_C >= 0x520
949# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
950# endif
951# endif
952#endif
953
954#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
955 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
956 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
957
958
959#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
960
961/* BEGIN ERROR CODES */
962/* The following lines are auto generated by the script mkerr.pl. Any changes
963 * made after this point may be overwritten when the script is next run.
964 */
965void ERR_load_EC_strings(void);
966
967/* Error codes for the EC functions. */
968
969/* Function codes. */
970#define EC_F_BN_TO_FELEM 224
971#define EC_F_COMPUTE_WNAF 143
972#define EC_F_D2I_ECPARAMETERS 144
973#define EC_F_D2I_ECPKPARAMETERS 145
974#define EC_F_D2I_ECPRIVATEKEY 146
975#define EC_F_DO_EC_KEY_PRINT 221
976#define EC_F_ECKEY_PARAM2TYPE 223
977#define EC_F_ECKEY_PARAM_DECODE 212
978#define EC_F_ECKEY_PRIV_DECODE 213
979#define EC_F_ECKEY_PRIV_ENCODE 214
980#define EC_F_ECKEY_PUB_DECODE 215
981#define EC_F_ECKEY_PUB_ENCODE 216
982#define EC_F_ECKEY_TYPE2PARAM 220
983#define EC_F_ECPARAMETERS_PRINT 147
984#define EC_F_ECPARAMETERS_PRINT_FP 148
985#define EC_F_ECPKPARAMETERS_PRINT 149
986#define EC_F_ECPKPARAMETERS_PRINT_FP 150
987#define EC_F_ECP_NIST_MOD_192 203
988#define EC_F_ECP_NIST_MOD_224 204
989#define EC_F_ECP_NIST_MOD_256 205
990#define EC_F_ECP_NIST_MOD_521 206
991#define EC_F_EC_ASN1_GROUP2CURVE 153
992#define EC_F_EC_ASN1_GROUP2FIELDID 154
993#define EC_F_EC_ASN1_GROUP2PARAMETERS 155
994#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
995#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
996#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
997#define EC_F_EC_EX_DATA_SET_DATA 211
998#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
999#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1000#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1001#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1002#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1003#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1004#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1005#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1006#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1007#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1008#define EC_F_EC_GFP_MONT_FIELD_MUL 131
1009#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1010#define EC_F_EC_GFP_MONT_FIELD_SQR 132
1011#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1012#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1013#define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1014#define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1015#define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1016#define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1017#define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1018#define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1019#define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1020#define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1021#define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1022#define EC_F_EC_GFP_NIST_FIELD_MUL 200
1023#define EC_F_EC_GFP_NIST_FIELD_SQR 201
1024#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1025#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1026#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1027#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1028#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1029#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1030#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1031#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1032#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1033#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1034#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1035#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1036#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1037#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1038#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1039#define EC_F_EC_GROUP_CHECK 170
1040#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1041#define EC_F_EC_GROUP_COPY 106
1042#define EC_F_EC_GROUP_GET0_GENERATOR 139
1043#define EC_F_EC_GROUP_GET_COFACTOR 140
1044#define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1045#define EC_F_EC_GROUP_GET_CURVE_GFP 130
1046#define EC_F_EC_GROUP_GET_DEGREE 173
1047#define EC_F_EC_GROUP_GET_ORDER 141
1048#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1049#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1050#define EC_F_EC_GROUP_NEW 108
1051#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1052#define EC_F_EC_GROUP_NEW_FROM_DATA 175
1053#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1054#define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1055#define EC_F_EC_GROUP_SET_CURVE_GFP 109
1056#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1057#define EC_F_EC_GROUP_SET_GENERATOR 111
1058#define EC_F_EC_KEY_CHECK_KEY 177
1059#define EC_F_EC_KEY_COPY 178
1060#define EC_F_EC_KEY_GENERATE_KEY 179
1061#define EC_F_EC_KEY_NEW 182
1062#define EC_F_EC_KEY_PRINT 180
1063#define EC_F_EC_KEY_PRINT_FP 181
1064#define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1065#define EC_F_EC_POINTS_MAKE_AFFINE 136
1066#define EC_F_EC_POINT_ADD 112
1067#define EC_F_EC_POINT_CMP 113
1068#define EC_F_EC_POINT_COPY 114
1069#define EC_F_EC_POINT_DBL 115
1070#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1071#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1072#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1073#define EC_F_EC_POINT_INVERT 210
1074#define EC_F_EC_POINT_IS_AT_INFINITY 118
1075#define EC_F_EC_POINT_IS_ON_CURVE 119
1076#define EC_F_EC_POINT_MAKE_AFFINE 120
1077#define EC_F_EC_POINT_MUL 184
1078#define EC_F_EC_POINT_NEW 121
1079#define EC_F_EC_POINT_OCT2POINT 122
1080#define EC_F_EC_POINT_POINT2OCT 123
1081#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1082#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1083#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1084#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1085#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1086#define EC_F_EC_POINT_SET_TO_INFINITY 127
1087#define EC_F_EC_PRE_COMP_DUP 207
1088#define EC_F_EC_PRE_COMP_NEW 196
1089#define EC_F_EC_WNAF_MUL 187
1090#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1091#define EC_F_I2D_ECPARAMETERS 190
1092#define EC_F_I2D_ECPKPARAMETERS 191
1093#define EC_F_I2D_ECPRIVATEKEY 192
1094#define EC_F_I2O_ECPUBLICKEY 151
1095#define EC_F_NISTP224_PRE_COMP_NEW 227
1096#define EC_F_NISTP256_PRE_COMP_NEW 236
1097#define EC_F_NISTP521_PRE_COMP_NEW 237
1098#define EC_F_O2I_ECPUBLICKEY 152
1099#define EC_F_OLD_EC_PRIV_DECODE 222
1100#define EC_F_PKEY_EC_CTRL 197
1101#define EC_F_PKEY_EC_CTRL_STR 198
1102#define EC_F_PKEY_EC_DERIVE 217
1103#define EC_F_PKEY_EC_KEYGEN 199
1104#define EC_F_PKEY_EC_PARAMGEN 219
1105#define EC_F_PKEY_EC_SIGN 218
1106
1107/* Reason codes. */
1108#define EC_R_ASN1_ERROR 115
1109#define EC_R_ASN1_UNKNOWN_FIELD 116
1110#define EC_R_BIGNUM_OUT_OF_RANGE 144
1111#define EC_R_BUFFER_TOO_SMALL 100
1112#define EC_R_COORDINATES_OUT_OF_RANGE 146
1113#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1114#define EC_R_DECODE_ERROR 142
1115#define EC_R_DISCRIMINANT_IS_ZERO 118
1116#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1117#define EC_R_FIELD_TOO_LARGE 143
1118#define EC_R_GF2M_NOT_SUPPORTED 147
1119#define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1120#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1121#define EC_R_INCOMPATIBLE_OBJECTS 101
1122#define EC_R_INVALID_ARGUMENT 112
1123#define EC_R_INVALID_COMPRESSED_POINT 110
1124#define EC_R_INVALID_COMPRESSION_BIT 109
1125#define EC_R_INVALID_CURVE 141
1126#define EC_R_INVALID_DIGEST_TYPE 138
1127#define EC_R_INVALID_ENCODING 102
1128#define EC_R_INVALID_FIELD 103
1129#define EC_R_INVALID_FORM 104
1130#define EC_R_INVALID_GROUP_ORDER 122
1131#define EC_R_INVALID_PENTANOMIAL_BASIS 132
1132#define EC_R_INVALID_PRIVATE_KEY 123
1133#define EC_R_INVALID_TRINOMIAL_BASIS 137
1134#define EC_R_KEYS_NOT_SET 140
1135#define EC_R_MISSING_PARAMETERS 124
1136#define EC_R_MISSING_PRIVATE_KEY 125
1137#define EC_R_NOT_A_NIST_PRIME 135
1138#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1139#define EC_R_NOT_IMPLEMENTED 126
1140#define EC_R_NOT_INITIALIZED 111
1141#define EC_R_NO_FIELD_MOD 133
1142#define EC_R_NO_PARAMETERS_SET 139
1143#define EC_R_PASSED_NULL_PARAMETER 134
1144#define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1145#define EC_R_POINT_AT_INFINITY 106
1146#define EC_R_POINT_IS_NOT_ON_CURVE 107
1147#define EC_R_SLOT_FULL 108
1148#define EC_R_UNDEFINED_GENERATOR 113
1149#define EC_R_UNDEFINED_ORDER 128
1150#define EC_R_UNKNOWN_GROUP 129
1151#define EC_R_UNKNOWN_ORDER 114
1152#define EC_R_UNSUPPORTED_FIELD 131
1153#define EC_R_WRONG_CURVE_PARAMETERS 145
1154#define EC_R_WRONG_ORDER 130
1155
1156#ifdef __cplusplus
1157}
1158#endif
1159#endif
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