3
* Originally written by Bodo Moeller for the OpenSSL project.
6
* \file crypto/ec/ec.h Include file for the OpenSSL EC functions
7
* \author Originally written by Bodo Moeller for the OpenSSL project
9
/* ====================================================================
10
* Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
12
* Redistribution and use in source and binary forms, with or without
13
* modification, are permitted provided that the following conditions
16
* 1. Redistributions of source code must retain the above copyright
17
* notice, this list of conditions and the following disclaimer.
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
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/)"
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.
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.
38
* 6. Redistributions of any form whatsoever must retain the following
40
* "This product includes software developed by the OpenSSL Project
41
* for use in the OpenSSL Toolkit (http://www.openssl.org/)"
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
* ====================================================================
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).
62
/* ====================================================================
63
* Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
65
* Portions of the attached software ("Contribution") are developed by
66
* SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
68
* The Contribution is licensed pursuant to the OpenSSL open source
69
* license provided above.
71
* The elliptic curve binary polynomial software is originally written by
72
* Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
79
#include <openssl/opensslconf.h>
82
#error EC is disabled.
85
#include <openssl/asn1.h>
86
#include <openssl/symhacks.h>
87
#ifndef OPENSSL_NO_DEPRECATED
88
#include <openssl/bn.h>
93
#elif defined(__SUNPRO_C)
94
# if __SUNPRO_C >= 0x520
95
# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
100
#ifndef OPENSSL_ECC_MAX_FIELD_BITS
101
# define OPENSSL_ECC_MAX_FIELD_BITS 661
104
/** Enum for the point conversion form as defined in X9.62 (ECDSA)
105
* for the encoding of a elliptic curve point (x,y) */
107
/** the point is encoded as z||x, where the octet z specifies
108
* which solution of the quadratic equation y is */
109
POINT_CONVERSION_COMPRESSED = 2,
110
/** the point is encoded as z||x||y, where z is the octet 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;
118
typedef struct ec_method_st EC_METHOD;
120
typedef struct ec_group_st
124
-- curve coefficients
125
-- optional generator with associated information (order, cofactor)
126
-- optional extra data (precomputed table for fast computation of multiples of generator)
131
typedef struct ec_point_st EC_POINT;
134
/********************************************************************/
135
/* EC_METHODs for curves over GF(p) */
136
/********************************************************************/
138
/** Returns the basic GFp ec methods which provides the basis for the
140
* \return EC_METHOD object
142
const EC_METHOD *EC_GFp_simple_method(void);
144
/** Returns GFp methods using montgomery multiplication.
145
* \return EC_METHOD object
147
const EC_METHOD *EC_GFp_mont_method(void);
149
/** Returns GFp methods using optimized methods for NIST recommended curves
150
* \return EC_METHOD object
152
const EC_METHOD *EC_GFp_nist_method(void);
155
/********************************************************************/
156
/* EC_METHOD for curves over GF(2^m) */
157
/********************************************************************/
159
/** Returns the basic GF2m ec method
160
* \return EC_METHOD object
162
const EC_METHOD *EC_GF2m_simple_method(void);
165
/********************************************************************/
166
/* EC_GROUP functions */
167
/********************************************************************/
169
/** Creates a new EC_GROUP object
170
* \param meth EC_METHOD to use
171
* \return newly created EC_GROUP object or NULL in case of an error.
173
EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
175
/** Frees a EC_GROUP object
176
* \param group EC_GROUP object to be freed.
178
void EC_GROUP_free(EC_GROUP *group);
180
/** Clears and frees a EC_GROUP object
181
* \param group EC_GROUP object to be cleared and freed.
183
void EC_GROUP_clear_free(EC_GROUP *group);
185
/** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
186
* \param dst destination EC_GROUP object
187
* \param src source EC_GROUP object
188
* \return 1 on success and 0 if an error occurred.
190
int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
192
/** Creates a new EC_GROUP object and copies the copies the content
193
* form src to the newly created EC_KEY object
194
* \param src source EC_GROUP object
195
* \return newly created EC_GROUP object or NULL in case of an error.
197
EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
199
/** Returns the EC_METHOD of the EC_GROUP object.
200
* \param group EC_GROUP object
201
* \return EC_METHOD used in this EC_GROUP object.
203
const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
205
/** Returns the field type of the EC_METHOD.
206
* \param meth EC_METHOD object
207
* \return NID of the underlying field type OID.
209
int EC_METHOD_get_field_type(const EC_METHOD *meth);
211
/** Sets the generator and it's order/cofactor of a EC_GROUP object.
212
* \param group EC_GROUP object
213
* \param generator EC_POINT object with the generator.
214
* \param order the order of the group generated by the generator.
215
* \param cofactor the index of the sub-group generated by the generator
216
* in the group of all points on the elliptic curve.
217
* \return 1 on success and 0 if an error occured
219
int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
221
/** Returns the generator of a EC_GROUP object.
222
* \param group EC_GROUP object
223
* \return the currently used generator (possibly NULL).
225
const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
227
/** Gets the order of a EC_GROUP
228
* \param group EC_GROUP object
229
* \param order BIGNUM to which the order is copied
230
* \param ctx BN_CTX object (optional)
231
* \return 1 on success and 0 if an error occured
233
int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
235
/** Gets the cofactor of a EC_GROUP
236
* \param group EC_GROUP object
237
* \param cofactor BIGNUM to which the cofactor is copied
238
* \param ctx BN_CTX object (optional)
239
* \return 1 on success and 0 if an error occured
241
int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
243
/** Sets the name of a EC_GROUP object
244
* \param group EC_GROUP object
245
* \param nid NID of the curve name OID
247
void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
249
/** Returns the curve name of a EC_GROUP object
250
* \param group EC_GROUP object
251
* \return NID of the curve name OID or 0 if not set.
253
int EC_GROUP_get_curve_name(const EC_GROUP *group);
255
void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
256
int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
258
void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
259
point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
261
unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
262
size_t EC_GROUP_get_seed_len(const EC_GROUP *);
263
size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
265
/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
266
* \param group EC_GROUP object
267
* \param p BIGNUM with the prime number
268
* \param a BIGNUM with parameter a of the equation
269
* \param b BIGNUM with parameter b of the equation
270
* \param ctx BN_CTX object (optional)
271
* \return 1 on success and 0 if an error occured
273
int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
275
/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
276
* \param group EC_GROUP object
277
* \param p BIGNUM for the prime number
278
* \param a BIGNUM for parameter a of the equation
279
* \param b BIGNUM for parameter b of the equation
280
* \param ctx BN_CTX object (optional)
281
* \return 1 on success and 0 if an error occured
283
int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
285
/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
286
* \param group EC_GROUP object
287
* \param p BIGNUM with the polynomial defining the underlying field
288
* \param a BIGNUM with parameter a of the equation
289
* \param b BIGNUM with parameter b of the equation
290
* \param ctx BN_CTX object (optional)
291
* \return 1 on success and 0 if an error occured
293
int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
295
/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
296
* \param group EC_GROUP object
297
* \param p BIGNUM for the polynomial defining the underlying field
298
* \param a BIGNUM for parameter a of the equation
299
* \param b BIGNUM for parameter b of the equation
300
* \param ctx BN_CTX object (optional)
301
* \return 1 on success and 0 if an error occured
303
int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
305
/** Returns the number of bits needed to represent a field element
306
* \param group EC_GROUP object
307
* \return number of bits needed to represent a field element
309
int EC_GROUP_get_degree(const EC_GROUP *group);
311
/** Checks whether the parameter in the EC_GROUP define a valid ec group
312
* \param group EC_GROUP object
313
* \param ctx BN_CTX object (optional)
314
* \return 1 if group is a valid ec group and 0 otherwise
316
int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
318
/** Checks whether the discriminant of the elliptic curve is zero or not
319
* \param group EC_GROUP object
320
* \param ctx BN_CTX object (optional)
321
* \return 1 if the discriminant is not zero and 0 otherwise
323
int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
325
/** Compares two EC_GROUP objects
326
* \param a first EC_GROUP object
327
* \param b second EC_GROUP object
328
* \param ctx BN_CTX object (optional)
329
* \return 0 if both groups are equal and 1 otherwise
331
int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
333
/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
334
* after choosing an appropriate EC_METHOD */
336
/** Creates a new EC_GROUP object with the specified parameters defined
337
* over GFp (defined by the equation y^2 = x^3 + a*x + b)
338
* \param p BIGNUM with the prime number
339
* \param a BIGNUM with the parameter a of the equation
340
* \param b BIGNUM with the parameter b of the equation
341
* \param ctx BN_CTX object (optional)
342
* \return newly created EC_GROUP object with the specified parameters
344
EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
346
/** Creates a new EC_GROUP object with the specified parameters defined
347
* over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
348
* \param p BIGNUM with the polynomial defining the underlying field
349
* \param a BIGNUM with the parameter a of the equation
350
* \param b BIGNUM with the parameter b of the equation
351
* \param ctx BN_CTX object (optional)
352
* \return newly created EC_GROUP object with the specified parameters
354
EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
356
/** Creates a EC_GROUP object with a curve specified by a NID
357
* \param nid NID of the OID of the curve name
358
* \return newly created EC_GROUP object with specified curve or NULL
359
* if an error occurred
361
EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
364
/********************************************************************/
365
/* handling of internal curves */
366
/********************************************************************/
373
/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
374
* of all available curves or zero if a error occurred.
375
* In case r ist not zero nitems EC_builtin_curve structures
376
* are filled with the data of the first nitems internal groups */
377
size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
380
/********************************************************************/
381
/* EC_POINT functions */
382
/********************************************************************/
384
/** Creates a new EC_POINT object for the specified EC_GROUP
385
* \param group EC_GROUP the underlying EC_GROUP object
386
* \return newly created EC_POINT object or NULL if an error occurred
388
EC_POINT *EC_POINT_new(const EC_GROUP *group);
390
/** Frees a EC_POINT object
391
* \param point EC_POINT object to be freed
393
void EC_POINT_free(EC_POINT *point);
395
/** Clears and frees a EC_POINT object
396
* \param point EC_POINT object to be cleared and freed
398
void EC_POINT_clear_free(EC_POINT *point);
400
/** Copies EC_POINT object
401
* \param dst destination EC_POINT object
402
* \param src source EC_POINT object
403
* \return 1 on success and 0 if an error occured
405
int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
407
/** Creates a new EC_POINT object and copies the content of the supplied
409
* \param src source EC_POINT object
410
* \param group underlying the EC_GROUP object
411
* \return newly created EC_POINT object or NULL if an error occurred
413
EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
415
/** Returns the EC_METHOD used in EC_POINT object
416
* \param point EC_POINT object
417
* \return the EC_METHOD used
419
const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
421
/** Sets a point to infinity (neutral element)
422
* \param group underlying EC_GROUP object
423
* \param point EC_POINT to set to infinity
424
* \return 1 on success and 0 if an error occured
426
int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
428
/** Sets the jacobian projective coordinates of a EC_POINT over GFp
429
* \param group underlying EC_GROUP object
430
* \param p EC_POINT object
431
* \param x BIGNUM with the x-coordinate
432
* \param y BIGNUM with the y-coordinate
433
* \param z BIGNUM with the z-coordinate
434
* \param ctx BN_CTX object (optional)
435
* \return 1 on success and 0 if an error occured
437
int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
438
const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
440
/** Gets the jacobian projective coordinates of a EC_POINT over GFp
441
* \param group underlying EC_GROUP object
442
* \param p EC_POINT object
443
* \param x BIGNUM for the x-coordinate
444
* \param y BIGNUM for the y-coordinate
445
* \param z BIGNUM for the z-coordinate
446
* \param ctx BN_CTX object (optional)
447
* \return 1 on success and 0 if an error occured
449
int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
450
const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
452
/** Sets the affine coordinates of a EC_POINT over GFp
453
* \param group underlying EC_GROUP object
454
* \param p EC_POINT object
455
* \param x BIGNUM with the x-coordinate
456
* \param y BIGNUM with the y-coordinate
457
* \param ctx BN_CTX object (optional)
458
* \return 1 on success and 0 if an error occured
460
int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
461
const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
463
/** Gets the affine coordinates of a EC_POINT over GFp
464
* \param group underlying EC_GROUP object
465
* \param p EC_POINT object
466
* \param x BIGNUM for the x-coordinate
467
* \param y BIGNUM for the y-coordinate
468
* \param ctx BN_CTX object (optional)
469
* \return 1 on success and 0 if an error occured
471
int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
472
const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
474
/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
475
* \param group underlying EC_GROUP object
476
* \param p EC_POINT object
477
* \param x BIGNUM with x-coordinate
478
* \param y_bit integer with the y-Bit (either 0 or 1)
479
* \param ctx BN_CTX object (optional)
480
* \return 1 on success and 0 if an error occured
482
int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
483
const BIGNUM *x, int y_bit, BN_CTX *ctx);
485
/** Sets the affine coordinates of a EC_POINT over GF2m
486
* \param group underlying EC_GROUP object
487
* \param p EC_POINT object
488
* \param x BIGNUM with the x-coordinate
489
* \param y BIGNUM with the y-coordinate
490
* \param ctx BN_CTX object (optional)
491
* \return 1 on success and 0 if an error occured
493
int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
494
const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
496
/** Gets the affine coordinates of a EC_POINT over GF2m
497
* \param group underlying EC_GROUP object
498
* \param p EC_POINT object
499
* \param x BIGNUM for the x-coordinate
500
* \param y BIGNUM for the y-coordinate
501
* \param ctx BN_CTX object (optional)
502
* \return 1 on success and 0 if an error occured
504
int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
505
const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
507
/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
508
* \param group underlying EC_GROUP object
509
* \param p EC_POINT object
510
* \param x BIGNUM with x-coordinate
511
* \param y_bit integer with the y-Bit (either 0 or 1)
512
* \param ctx BN_CTX object (optional)
513
* \return 1 on success and 0 if an error occured
515
int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
516
const BIGNUM *x, int y_bit, BN_CTX *ctx);
518
/** Encodes a EC_POINT object to a octet string
519
* \param group underlying EC_GROUP object
520
* \param p EC_POINT object
521
* \param form point conversion form
522
* \param buf memory buffer for the result. If NULL the function returns
523
* required buffer size.
524
* \param len length of the memory buffer
525
* \param ctx BN_CTX object (optional)
526
* \return the length of the encoded octet string or 0 if an error occurred
528
size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
529
point_conversion_form_t form,
530
unsigned char *buf, size_t len, BN_CTX *ctx);
532
/** Decodes a EC_POINT from a octet string
533
* \param group underlying EC_GROUP object
534
* \param p EC_POINT object
535
* \param buf memory buffer with the encoded ec point
536
* \param len length of the encoded ec point
537
* \param ctx BN_CTX object (optional)
538
* \return 1 on success and 0 if an error occured
540
int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
541
const unsigned char *buf, size_t len, BN_CTX *ctx);
543
/* other interfaces to point2oct/oct2point: */
544
BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
545
point_conversion_form_t form, BIGNUM *, BN_CTX *);
546
EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
547
EC_POINT *, BN_CTX *);
548
char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
549
point_conversion_form_t form, BN_CTX *);
550
EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
551
EC_POINT *, BN_CTX *);
554
/********************************************************************/
555
/* functions for doing EC_POINT arithmetic */
556
/********************************************************************/
558
/** Computes the sum of two EC_POINT
559
* \param group underlying EC_GROUP object
560
* \param r EC_POINT object for the result (r = a + b)
561
* \param a EC_POINT object with the first summand
562
* \param b EC_POINT object with the second summand
563
* \param ctx BN_CTX object (optional)
564
* \return 1 on success and 0 if an error occured
566
int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
568
/** Computes the double of a EC_POINT
569
* \param group underlying EC_GROUP object
570
* \param r EC_POINT object for the result (r = 2 * a)
571
* \param a EC_POINT object
572
* \param ctx BN_CTX object (optional)
573
* \return 1 on success and 0 if an error occured
575
int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
577
/** Computes the inverse of a EC_POINT
578
* \param group underlying EC_GROUP object
579
* \param a EC_POINT object to be inverted (it's used for the result as well)
580
* \param ctx BN_CTX object (optional)
581
* \return 1 on success and 0 if an error occured
583
int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
585
/** Checks whether the point is the neutral element of the group
586
* \param group the underlying EC_GROUP object
587
* \param p EC_POINT object
588
* \return 1 if the point is the neutral element and 0 otherwise
590
int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
592
/** Checks whether the point is on the curve
593
* \param group underlying EC_GROUP object
594
* \param point EC_POINT object to check
595
* \param ctx BN_CTX object (optional)
596
* \return 1 if point if on the curve and 0 otherwise
598
int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
600
/** Compares two EC_POINTs
601
* \param group underlying EC_GROUP object
602
* \param a first EC_POINT object
603
* \param b second EC_POINT object
604
* \param ctx BN_CTX object (optional)
605
* \return 0 if both points are equal and a value != 0 otherwise
607
int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
609
int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
610
int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
612
/** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
613
* \param group underlying EC_GROUP object
614
* \param r EC_POINT object for the result
615
* \param n BIGNUM with the multiplier for the group generator (optional)
616
* \param num number futher summands
617
* \param p array of size num of EC_POINT objects
618
* \param m array of size num of BIGNUM objects
619
* \param ctx BN_CTX object (optional)
620
* \return 1 on success and 0 if an error occured
622
int 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);
624
/** Computes r = generator * n + q * m
625
* \param group underlying EC_GROUP object
626
* \param r EC_POINT object for the result
627
* \param n BIGNUM with the multiplier for the group generator (optional)
628
* \param q EC_POINT object with the first factor of the second summand
629
* \param m BIGNUM with the second factor of the second summand
630
* \param ctx BN_CTX object (optional)
631
* \return 1 on success and 0 if an error occured
633
int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
635
/** Stores multiples of generator for faster point multiplication
636
* \param group EC_GROUP object
637
* \param ctx BN_CTX object (optional)
638
* \return 1 on success and 0 if an error occured
640
int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
642
/** Reports whether a precomputation has been done
643
* \param group EC_GROUP object
644
* \return 1 if a pre-computation has been done and 0 otherwise
646
int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
649
/********************************************************************/
651
/********************************************************************/
653
/* EC_GROUP_get_basis_type() returns the NID of the basis type
654
* used to represent the field elements */
655
int EC_GROUP_get_basis_type(const EC_GROUP *);
656
int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
657
int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
658
unsigned int *k2, unsigned int *k3);
660
#define OPENSSL_EC_NAMED_CURVE 0x001
662
typedef struct ecpk_parameters_st ECPKPARAMETERS;
664
EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
665
int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
667
#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
668
#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
669
#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
670
(char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
671
#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
672
(unsigned char *)(x))
674
#ifndef OPENSSL_NO_BIO
675
int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
677
#ifndef OPENSSL_NO_FP_API
678
int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
682
/********************************************************************/
683
/* EC_KEY functions */
684
/********************************************************************/
686
typedef struct ec_key_st EC_KEY;
688
/* some values for the encoding_flag */
689
#define EC_PKEY_NO_PARAMETERS 0x001
690
#define EC_PKEY_NO_PUBKEY 0x002
692
/** Creates a new EC_KEY object.
693
* \return EC_KEY object or NULL if an error occurred.
695
EC_KEY *EC_KEY_new(void);
697
/** Creates a new EC_KEY object using a named curve as underlying
699
* \param nid NID of the named curve.
700
* \return EC_KEY object or NULL if an error occurred.
702
EC_KEY *EC_KEY_new_by_curve_name(int nid);
704
/** Frees a EC_KEY object.
705
* \param key EC_KEY object to be freed.
707
void EC_KEY_free(EC_KEY *key);
709
/** Copies a EC_KEY object.
710
* \param dst destination EC_KEY object
711
* \param src src EC_KEY object
712
* \return dst or NULL if an error occurred.
714
EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
716
/** Creates a new EC_KEY object and copies the content from src to it.
717
* \param src the source EC_KEY object
718
* \return newly created EC_KEY object or NULL if an error occurred.
720
EC_KEY *EC_KEY_dup(const EC_KEY *src);
722
/** Increases the internal reference count of a EC_KEY object.
723
* \param key EC_KEY object
724
* \return 1 on success and 0 if an error occurred.
726
int EC_KEY_up_ref(EC_KEY *key);
728
/** Returns the EC_GROUP object of a EC_KEY object
729
* \param key EC_KEY object
730
* \return the EC_GROUP object (possibly NULL).
732
const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
734
/** Sets the EC_GROUP of a EC_KEY object.
735
* \param key EC_KEY object
736
* \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
737
* object will use an own copy of the EC_GROUP).
738
* \return 1 on success and 0 if an error occurred.
740
int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
742
/** Returns the private key of a EC_KEY object.
743
* \param key EC_KEY object
744
* \return a BIGNUM with the private key (possibly NULL).
746
const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
748
/** Sets the private key of a EC_KEY object.
749
* \param key EC_KEY object
750
* \param prv BIGNUM with the private key (note: the EC_KEY object
751
* will use an own copy of the BIGNUM).
752
* \return 1 on success and 0 if an error occurred.
754
int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
756
/** Returns the public key of a EC_KEY object.
757
* \param key the EC_KEY object
758
* \return a EC_POINT object with the public key (possibly NULL)
760
const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
762
/** Sets the public key of a EC_KEY object.
763
* \param key EC_KEY object
764
* \param pub EC_POINT object with the public key (note: the EC_KEY object
765
* will use an own copy of the EC_POINT object).
766
* \return 1 on success and 0 if an error occurred.
768
int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
770
unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
771
void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
772
point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
773
void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
774
/* functions to set/get method specific data */
775
void *EC_KEY_get_key_method_data(EC_KEY *,
776
void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
777
void EC_KEY_insert_key_method_data(EC_KEY *, void *data,
778
void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
779
/* wrapper functions for the underlying EC_GROUP object */
780
void EC_KEY_set_asn1_flag(EC_KEY *, int);
782
/** Creates a table of pre-computed multiples of the generator to
783
* accelerate further EC_KEY operations.
784
* \param key EC_KEY object
785
* \param ctx BN_CTX object (optional)
786
* \return 1 on success and 0 if an error occurred.
788
int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
790
/** Creates a new ec private (and optional a new public) key.
791
* \param key EC_KEY object
792
* \return 1 on success and 0 if an error occurred.
794
int EC_KEY_generate_key(EC_KEY *key);
796
/** Verifies that a private and/or public key is valid.
797
* \param key the EC_KEY object
798
* \return 1 on success and 0 otherwise.
800
int EC_KEY_check_key(const EC_KEY *key);
803
/********************************************************************/
804
/* de- and encoding functions for SEC1 ECPrivateKey */
805
/********************************************************************/
807
/** Decodes a private key from a memory buffer.
808
* \param key a pointer to a EC_KEY object which should be used (or NULL)
809
* \param in pointer to memory with the DER encoded private key
810
* \param len length of the DER encoded private key
811
* \return the decoded private key or NULL if an error occurred.
813
EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
815
/** Encodes a private key object and stores the result in a buffer.
816
* \param key the EC_KEY object to encode
817
* \param out the buffer for the result (if NULL the function returns number
819
* \return 1 on success and 0 if an error occurred.
821
int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
824
/********************************************************************/
825
/* de- and encoding functions for EC parameters */
826
/********************************************************************/
828
/** Decodes ec parameter from a memory buffer.
829
* \param key a pointer to a EC_KEY object which should be used (or NULL)
830
* \param in pointer to memory with the DER encoded ec parameters
831
* \param len length of the DER encoded ec parameters
832
* \return a EC_KEY object with the decoded parameters or NULL if an error
835
EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
837
/** Encodes ec parameter and stores the result in a buffer.
838
* \param key the EC_KEY object with ec paramters to encode
839
* \param out the buffer for the result (if NULL the function returns number
841
* \return 1 on success and 0 if an error occurred.
843
int i2d_ECParameters(EC_KEY *key, unsigned char **out);
846
/********************************************************************/
847
/* de- and encoding functions for EC public key */
848
/* (octet string, not DER -- hence 'o2i' and 'i2o') */
849
/********************************************************************/
851
/** Decodes a ec public key from a octet string.
852
* \param key a pointer to a EC_KEY object which should be used
853
* \param in memory buffer with the encoded public key
854
* \param len length of the encoded public key
855
* \return EC_KEY object with decoded public key or NULL if an error
858
EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
860
/** Encodes a ec public key in an octet string.
861
* \param key the EC_KEY object with the public key
862
* \param out the buffer for the result (if NULL the function returns number
864
* \return 1 on success and 0 if an error occurred
866
int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
868
#ifndef OPENSSL_NO_BIO
869
/** Prints out the ec parameters on human readable form.
870
* \param bp BIO object to which the information is printed
871
* \param key EC_KEY object
872
* \return 1 on success and 0 if an error occurred
874
int ECParameters_print(BIO *bp, const EC_KEY *key);
876
/** Prints out the contents of a EC_KEY object
877
* \param bp BIO object to which the information is printed
878
* \param key EC_KEY object
879
* \param off line offset
880
* \return 1 on success and 0 if an error occurred
882
int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
885
#ifndef OPENSSL_NO_FP_API
886
/** Prints out the ec parameters on human readable form.
887
* \param fp file descriptor to which the information is printed
888
* \param key EC_KEY object
889
* \return 1 on success and 0 if an error occurred
891
int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
893
/** Prints out the contents of a EC_KEY object
894
* \param fp file descriptor to which the information is printed
895
* \param key EC_KEY object
896
* \param off line offset
897
* \return 1 on success and 0 if an error occurred
899
int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
903
#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
906
#if defined(__SUNPRO_C)
907
# if __SUNPRO_C >= 0x520
908
# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
913
#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
914
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
915
EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
918
#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
920
/* BEGIN ERROR CODES */
921
/* The following lines are auto generated by the script mkerr.pl. Any changes
922
* made after this point may be overwritten when the script is next run.
924
void ERR_load_EC_strings(void);
926
/* Error codes for the EC functions. */
928
/* Function codes. */
929
#define EC_F_COMPUTE_WNAF 143
930
#define EC_F_D2I_ECPARAMETERS 144
931
#define EC_F_D2I_ECPKPARAMETERS 145
932
#define EC_F_D2I_ECPRIVATEKEY 146
933
#define EC_F_DO_EC_KEY_PRINT 221
934
#define EC_F_ECKEY_PARAM2TYPE 223
935
#define EC_F_ECKEY_PARAM_DECODE 212
936
#define EC_F_ECKEY_PRIV_DECODE 213
937
#define EC_F_ECKEY_PRIV_ENCODE 214
938
#define EC_F_ECKEY_PUB_DECODE 215
939
#define EC_F_ECKEY_PUB_ENCODE 216
940
#define EC_F_ECKEY_TYPE2PARAM 220
941
#define EC_F_ECPARAMETERS_PRINT 147
942
#define EC_F_ECPARAMETERS_PRINT_FP 148
943
#define EC_F_ECPKPARAMETERS_PRINT 149
944
#define EC_F_ECPKPARAMETERS_PRINT_FP 150
945
#define EC_F_ECP_NIST_MOD_192 203
946
#define EC_F_ECP_NIST_MOD_224 204
947
#define EC_F_ECP_NIST_MOD_256 205
948
#define EC_F_ECP_NIST_MOD_521 206
949
#define EC_F_EC_ASN1_GROUP2CURVE 153
950
#define EC_F_EC_ASN1_GROUP2FIELDID 154
951
#define EC_F_EC_ASN1_GROUP2PARAMETERS 155
952
#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
953
#define EC_F_EC_ASN1_PARAMETERS2GROUP 157
954
#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
955
#define EC_F_EC_EX_DATA_SET_DATA 211
956
#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
957
#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
958
#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
959
#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
960
#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
961
#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
962
#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
963
#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
964
#define EC_F_EC_GFP_MONT_FIELD_DECODE 133
965
#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
966
#define EC_F_EC_GFP_MONT_FIELD_MUL 131
967
#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
968
#define EC_F_EC_GFP_MONT_FIELD_SQR 132
969
#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
970
#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
971
#define EC_F_EC_GFP_NIST_FIELD_MUL 200
972
#define EC_F_EC_GFP_NIST_FIELD_SQR 201
973
#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
974
#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
975
#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
976
#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
977
#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
978
#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
979
#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
980
#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
981
#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
982
#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
983
#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
984
#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
985
#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
986
#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
987
#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
988
#define EC_F_EC_GROUP_CHECK 170
989
#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
990
#define EC_F_EC_GROUP_COPY 106
991
#define EC_F_EC_GROUP_GET0_GENERATOR 139
992
#define EC_F_EC_GROUP_GET_COFACTOR 140
993
#define EC_F_EC_GROUP_GET_CURVE_GF2M 172
994
#define EC_F_EC_GROUP_GET_CURVE_GFP 130
995
#define EC_F_EC_GROUP_GET_DEGREE 173
996
#define EC_F_EC_GROUP_GET_ORDER 141
997
#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
998
#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
999
#define EC_F_EC_GROUP_NEW 108
1000
#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1001
#define EC_F_EC_GROUP_NEW_FROM_DATA 175
1002
#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1003
#define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1004
#define EC_F_EC_GROUP_SET_CURVE_GFP 109
1005
#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1006
#define EC_F_EC_GROUP_SET_GENERATOR 111
1007
#define EC_F_EC_KEY_CHECK_KEY 177
1008
#define EC_F_EC_KEY_COPY 178
1009
#define EC_F_EC_KEY_GENERATE_KEY 179
1010
#define EC_F_EC_KEY_NEW 182
1011
#define EC_F_EC_KEY_PRINT 180
1012
#define EC_F_EC_KEY_PRINT_FP 181
1013
#define EC_F_EC_POINTS_MAKE_AFFINE 136
1014
#define EC_F_EC_POINT_ADD 112
1015
#define EC_F_EC_POINT_CMP 113
1016
#define EC_F_EC_POINT_COPY 114
1017
#define EC_F_EC_POINT_DBL 115
1018
#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1019
#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1020
#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1021
#define EC_F_EC_POINT_INVERT 210
1022
#define EC_F_EC_POINT_IS_AT_INFINITY 118
1023
#define EC_F_EC_POINT_IS_ON_CURVE 119
1024
#define EC_F_EC_POINT_MAKE_AFFINE 120
1025
#define EC_F_EC_POINT_MUL 184
1026
#define EC_F_EC_POINT_NEW 121
1027
#define EC_F_EC_POINT_OCT2POINT 122
1028
#define EC_F_EC_POINT_POINT2OCT 123
1029
#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1030
#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1031
#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1032
#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1033
#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1034
#define EC_F_EC_POINT_SET_TO_INFINITY 127
1035
#define EC_F_EC_PRE_COMP_DUP 207
1036
#define EC_F_EC_PRE_COMP_NEW 196
1037
#define EC_F_EC_WNAF_MUL 187
1038
#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1039
#define EC_F_I2D_ECPARAMETERS 190
1040
#define EC_F_I2D_ECPKPARAMETERS 191
1041
#define EC_F_I2D_ECPRIVATEKEY 192
1042
#define EC_F_I2O_ECPUBLICKEY 151
1043
#define EC_F_O2I_ECPUBLICKEY 152
1044
#define EC_F_OLD_EC_PRIV_DECODE 222
1045
#define EC_F_PKEY_EC_CTRL 197
1046
#define EC_F_PKEY_EC_CTRL_STR 198
1047
#define EC_F_PKEY_EC_DERIVE 217
1048
#define EC_F_PKEY_EC_KEYGEN 199
1049
#define EC_F_PKEY_EC_PARAMGEN 219
1050
#define EC_F_PKEY_EC_SIGN 218
1053
#define EC_R_ASN1_ERROR 115
1054
#define EC_R_ASN1_UNKNOWN_FIELD 116
1055
#define EC_R_BUFFER_TOO_SMALL 100
1056
#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1057
#define EC_R_DECODE_ERROR 142
1058
#define EC_R_DISCRIMINANT_IS_ZERO 118
1059
#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1060
#define EC_R_FIELD_TOO_LARGE 143
1061
#define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1062
#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1063
#define EC_R_INCOMPATIBLE_OBJECTS 101
1064
#define EC_R_INVALID_ARGUMENT 112
1065
#define EC_R_INVALID_COMPRESSED_POINT 110
1066
#define EC_R_INVALID_COMPRESSION_BIT 109
1067
#define EC_R_INVALID_CURVE 141
1068
#define EC_R_INVALID_DIGEST_TYPE 138
1069
#define EC_R_INVALID_ENCODING 102
1070
#define EC_R_INVALID_FIELD 103
1071
#define EC_R_INVALID_FORM 104
1072
#define EC_R_INVALID_GROUP_ORDER 122
1073
#define EC_R_INVALID_PENTANOMIAL_BASIS 132
1074
#define EC_R_INVALID_PRIVATE_KEY 123
1075
#define EC_R_INVALID_TRINOMIAL_BASIS 137
1076
#define EC_R_KEYS_NOT_SET 140
1077
#define EC_R_MISSING_PARAMETERS 124
1078
#define EC_R_MISSING_PRIVATE_KEY 125
1079
#define EC_R_NOT_A_NIST_PRIME 135
1080
#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1081
#define EC_R_NOT_IMPLEMENTED 126
1082
#define EC_R_NOT_INITIALIZED 111
1083
#define EC_R_NO_FIELD_MOD 133
1084
#define EC_R_NO_PARAMETERS_SET 139
1085
#define EC_R_PASSED_NULL_PARAMETER 134
1086
#define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1087
#define EC_R_POINT_AT_INFINITY 106
1088
#define EC_R_POINT_IS_NOT_ON_CURVE 107
1089
#define EC_R_SLOT_FULL 108
1090
#define EC_R_UNDEFINED_GENERATOR 113
1091
#define EC_R_UNDEFINED_ORDER 128
1092
#define EC_R_UNKNOWN_GROUP 129
1093
#define EC_R_UNKNOWN_ORDER 114
1094
#define EC_R_UNSUPPORTED_FIELD 131
1095
#define EC_R_WRONG_ORDER 130
added
removed
trunk/PsiphonX/libraries/include/openssl/ec.h
