xref: /openbsd-src/lib/libcrypto/ec/ec.h (revision d13be5d47e4149db2549a9828e244d59dbc43f15)
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
92 extern "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) */
106 typedef 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 
118 typedef struct ec_method_st EC_METHOD;
119 
120 typedef 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 
131 typedef 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  */
142 const EC_METHOD *EC_GFp_simple_method(void);
143 
144 /** Returns GFp methods using montgomery multiplication.
145  *  \return  EC_METHOD object
146  */
147 const 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  */
152 const EC_METHOD *EC_GFp_nist_method(void);
153 
154 
155 /********************************************************************/
156 /*           EC_METHOD for curves over GF(2^m)                      */
157 /********************************************************************/
158 
159 /** Returns the basic GF2m ec method
160  *  \return  EC_METHOD object
161  */
162 const EC_METHOD *EC_GF2m_simple_method(void);
163 
164 
165 /********************************************************************/
166 /*                   EC_GROUP functions                             */
167 /********************************************************************/
168 
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.
172  */
173 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
174 
175 /** Frees a EC_GROUP object
176  *  \param  group  EC_GROUP object to be freed.
177  */
178 void EC_GROUP_free(EC_GROUP *group);
179 
180 /** Clears and frees a EC_GROUP object
181  *  \param  group  EC_GROUP object to be cleared and freed.
182  */
183 void EC_GROUP_clear_free(EC_GROUP *group);
184 
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.
189  */
190 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
191 
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.
196  */
197 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
198 
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.
202  */
203 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
204 
205 /** Returns the field type of the EC_METHOD.
206  *  \param  meth  EC_METHOD object
207  *  \return NID of the underlying field type OID.
208  */
209 int EC_METHOD_get_field_type(const EC_METHOD *meth);
210 
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
218  */
219 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
220 
221 /** Returns the generator of a EC_GROUP object.
222  *  \param  group  EC_GROUP object
223  *  \return the currently used generator (possibly NULL).
224  */
225 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
226 
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
232  */
233 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
234 
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
240  */
241 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
242 
243 /** Sets the name of a EC_GROUP object
244  *  \param  group  EC_GROUP object
245  *  \param  nid    NID of the curve name OID
246  */
247 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
248 
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.
252  */
253 int EC_GROUP_get_curve_name(const EC_GROUP *group);
254 
255 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
256 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
257 
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 *);
260 
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);
264 
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
272  */
273 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
274 
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
282  */
283 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
284 
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
292  */
293 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
294 
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
302  */
303 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
304 
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
308  */
309 int EC_GROUP_get_degree(const EC_GROUP *group);
310 
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
315  */
316 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
317 
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
322  */
323 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
324 
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
330  */
331 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
332 
333 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
334  * after choosing an appropriate EC_METHOD */
335 
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
343  */
344 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
345 
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
353  */
354 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
355 
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
360  */
361 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
362 
363 
364 /********************************************************************/
365 /*               handling of internal curves                        */
366 /********************************************************************/
367 
368 typedef struct {
369 	int nid;
370 	const char *comment;
371 	} EC_builtin_curve;
372 
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);
378 
379 
380 /********************************************************************/
381 /*                    EC_POINT functions                            */
382 /********************************************************************/
383 
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
387  */
388 EC_POINT *EC_POINT_new(const EC_GROUP *group);
389 
390 /** Frees a EC_POINT object
391  *  \param  point  EC_POINT object to be freed
392  */
393 void EC_POINT_free(EC_POINT *point);
394 
395 /** Clears and frees a EC_POINT object
396  *  \param  point  EC_POINT object to be cleared and freed
397  */
398 void EC_POINT_clear_free(EC_POINT *point);
399 
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
404  */
405 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
406 
407 /** Creates a new EC_POINT object and copies the content of the supplied
408  *  EC_POINT
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
412  */
413 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
414 
415 /** Returns the EC_METHOD used in EC_POINT object
416  *  \param  point  EC_POINT object
417  *  \return the EC_METHOD used
418  */
419 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
420 
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
425  */
426 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
427 
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
436  */
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);
439 
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
448  */
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);
451 
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
459  */
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);
462 
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
470  */
471 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
472 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
473 
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
481  */
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);
484 
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
492  */
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);
495 
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
503  */
504 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
505 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
506 
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
514  */
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);
517 
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
527  */
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);
531 
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
539  */
540 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
541         const unsigned char *buf, size_t len, BN_CTX *ctx);
542 
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 *);
552 
553 
554 /********************************************************************/
555 /*         functions for doing EC_POINT arithmetic                  */
556 /********************************************************************/
557 
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
565  */
566 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
567 
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
574  */
575 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
576 
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
582  */
583 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
584 
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
589  */
590 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
591 
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
597  */
598 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
599 
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
606  */
607 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
608 
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 *);
611 
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
621  */
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);
623 
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
632  */
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);
634 
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
639  */
640 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
641 
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
645  */
646 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
647 
648 
649 /********************************************************************/
650 /*                       ASN1 stuff                                 */
651 /********************************************************************/
652 
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);
659 
660 #define OPENSSL_EC_NAMED_CURVE	0x001
661 
662 typedef struct ecpk_parameters_st ECPKPARAMETERS;
663 
664 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
665 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
666 
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))
673 
674 #ifndef OPENSSL_NO_BIO
675 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
676 #endif
677 #ifndef OPENSSL_NO_FP_API
678 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
679 #endif
680 
681 
682 /********************************************************************/
683 /*                      EC_KEY functions                            */
684 /********************************************************************/
685 
686 typedef struct ec_key_st EC_KEY;
687 
688 /* some values for the encoding_flag */
689 #define EC_PKEY_NO_PARAMETERS	0x001
690 #define EC_PKEY_NO_PUBKEY	0x002
691 
692 /** Creates a new EC_KEY object.
693  *  \return EC_KEY object or NULL if an error occurred.
694  */
695 EC_KEY *EC_KEY_new(void);
696 
697 /** Creates a new EC_KEY object using a named curve as underlying
698  *  EC_GROUP object.
699  *  \param  nid  NID of the named curve.
700  *  \return EC_KEY object or NULL if an error occurred.
701  */
702 EC_KEY *EC_KEY_new_by_curve_name(int nid);
703 
704 /** Frees a EC_KEY object.
705  *  \param  key  EC_KEY object to be freed.
706  */
707 void EC_KEY_free(EC_KEY *key);
708 
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.
713  */
714 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
715 
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.
719  */
720 EC_KEY *EC_KEY_dup(const EC_KEY *src);
721 
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.
725  */
726 int EC_KEY_up_ref(EC_KEY *key);
727 
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).
731  */
732 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
733 
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.
739  */
740 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
741 
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).
745  */
746 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
747 
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.
753  */
754 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
755 
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)
759  */
760 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
761 
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.
767  */
768 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
769 
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);
781 
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.
787  */
788 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
789 
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.
793  */
794 int EC_KEY_generate_key(EC_KEY *key);
795 
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.
799  */
800 int EC_KEY_check_key(const EC_KEY *key);
801 
802 
803 /********************************************************************/
804 /*        de- and encoding functions for SEC1 ECPrivateKey          */
805 /********************************************************************/
806 
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.
812  */
813 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
814 
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
818  *               of bytes needed).
819  *  \return 1 on success and 0 if an error occurred.
820  */
821 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
822 
823 
824 /********************************************************************/
825 /*        de- and encoding functions for EC parameters              */
826 /********************************************************************/
827 
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
833  *          occurred.
834  */
835 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
836 
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
840  *               of bytes needed).
841  *  \return 1 on success and 0 if an error occurred.
842  */
843 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
844 
845 
846 /********************************************************************/
847 /*         de- and encoding functions for EC public key             */
848 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
849 /********************************************************************/
850 
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
856  *          occurred.
857  */
858 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
859 
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
863  *               of bytes needed).
864  *  \return 1 on success and 0 if an error occurred
865  */
866 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
867 
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
873  */
874 int	ECParameters_print(BIO *bp, const EC_KEY *key);
875 
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
881  */
882 int	EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
883 
884 #endif
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
890  */
891 int	ECParameters_print_fp(FILE *fp, const EC_KEY *key);
892 
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
898  */
899 int	EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
900 
901 #endif
902 
903 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
904 
905 #ifndef __cplusplus
906 #if defined(__SUNPRO_C)
907 #  if __SUNPRO_C >= 0x520
908 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
909 #  endif
910 # endif
911 #endif
912 
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)
916 
917 
918 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID		(EVP_PKEY_ALG_CTRL + 1)
919 
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.
923  */
924 void ERR_load_EC_strings(void);
925 
926 /* Error codes for the EC functions. */
927 
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
1051 
1052 /* Reason codes. */
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
1096 
1097 #ifdef  __cplusplus
1098 }
1099 #endif
1100 #endif
1101