xref: /minix/crypto/external/bsd/openssl/dist/crypto/ec/ec.h (revision 0a6a1f1d)
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 # ifndef OPENSSL_ECC_MAX_FIELD_BITS
100 #  define OPENSSL_ECC_MAX_FIELD_BITS 661
101 # endif
102 
103 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
104  *  for the encoding of a elliptic curve point (x,y) */
105 typedef enum {
106         /** the point is encoded as z||x, where the octet z specifies
107          *  which solution of the quadratic equation y is  */
108     POINT_CONVERSION_COMPRESSED = 2,
109         /** the point is encoded as z||x||y, where z is the octet 0x02  */
110     POINT_CONVERSION_UNCOMPRESSED = 4,
111         /** the point is encoded as z||x||y, where the octet z specifies
112          *  which solution of the quadratic equation y is  */
113     POINT_CONVERSION_HYBRID = 6
114 } point_conversion_form_t;
115 
116 typedef struct ec_method_st EC_METHOD;
117 
118 typedef struct ec_group_st
119     /*-
120      EC_METHOD *meth;
121      -- field definition
122      -- curve coefficients
123      -- optional generator with associated information (order, cofactor)
124      -- optional extra data (precomputed table for fast computation of multiples of generator)
125      -- ASN1 stuff
126     */
127     EC_GROUP;
128 
129 typedef struct ec_point_st EC_POINT;
130 
131 /********************************************************************/
132 /*               EC_METHODs for curves over GF(p)                   */
133 /********************************************************************/
134 
135 /** Returns the basic GFp ec methods which provides the basis for the
136  *  optimized methods.
137  *  \return  EC_METHOD object
138  */
139 const EC_METHOD *EC_GFp_simple_method(void);
140 
141 /** Returns GFp methods using montgomery multiplication.
142  *  \return  EC_METHOD object
143  */
144 const EC_METHOD *EC_GFp_mont_method(void);
145 
146 /** Returns GFp methods using optimized methods for NIST recommended curves
147  *  \return  EC_METHOD object
148  */
149 const EC_METHOD *EC_GFp_nist_method(void);
150 
151 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
152 /** Returns 64-bit optimized methods for nistp224
153  *  \return  EC_METHOD object
154  */
155 const EC_METHOD *EC_GFp_nistp224_method(void);
156 
157 /** Returns 64-bit optimized methods for nistp256
158  *  \return  EC_METHOD object
159  */
160 const EC_METHOD *EC_GFp_nistp256_method(void);
161 
162 /** Returns 64-bit optimized methods for nistp521
163  *  \return  EC_METHOD object
164  */
165 const EC_METHOD *EC_GFp_nistp521_method(void);
166 # endif
167 
168 # ifndef OPENSSL_NO_EC2M
169 /********************************************************************/
170 /*           EC_METHOD for curves over GF(2^m)                      */
171 /********************************************************************/
172 
173 /** Returns the basic GF2m ec method
174  *  \return  EC_METHOD object
175  */
176 const EC_METHOD *EC_GF2m_simple_method(void);
177 
178 # endif
179 
180 /********************************************************************/
181 /*                   EC_GROUP functions                             */
182 /********************************************************************/
183 
184 /** Creates a new EC_GROUP object
185  *  \param   meth  EC_METHOD to use
186  *  \return  newly created EC_GROUP object or NULL in case of an error.
187  */
188 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
189 
190 /** Frees a EC_GROUP object
191  *  \param  group  EC_GROUP object to be freed.
192  */
193 void EC_GROUP_free(EC_GROUP *group);
194 
195 /** Clears and frees a EC_GROUP object
196  *  \param  group  EC_GROUP object to be cleared and freed.
197  */
198 void EC_GROUP_clear_free(EC_GROUP *group);
199 
200 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
201  *  \param  dst  destination EC_GROUP object
202  *  \param  src  source EC_GROUP object
203  *  \return 1 on success and 0 if an error occurred.
204  */
205 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
206 
207 /** Creates a new EC_GROUP object and copies the copies the content
208  *  form src to the newly created EC_KEY object
209  *  \param  src  source EC_GROUP object
210  *  \return newly created EC_GROUP object or NULL in case of an error.
211  */
212 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
213 
214 /** Returns the EC_METHOD of the EC_GROUP object.
215  *  \param  group  EC_GROUP object
216  *  \return EC_METHOD used in this EC_GROUP object.
217  */
218 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
219 
220 /** Returns the field type of the EC_METHOD.
221  *  \param  meth  EC_METHOD object
222  *  \return NID of the underlying field type OID.
223  */
224 int EC_METHOD_get_field_type(const EC_METHOD *meth);
225 
226 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
227  *  \param  group      EC_GROUP object
228  *  \param  generator  EC_POINT object with the generator.
229  *  \param  order      the order of the group generated by the generator.
230  *  \param  cofactor   the index of the sub-group generated by the generator
231  *                     in the group of all points on the elliptic curve.
232  *  \return 1 on success and 0 if an error occured
233  */
234 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
235                            const BIGNUM *order, const BIGNUM *cofactor);
236 
237 /** Returns the generator of a EC_GROUP object.
238  *  \param  group  EC_GROUP object
239  *  \return the currently used generator (possibly NULL).
240  */
241 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
242 
243 /** Gets the order of a EC_GROUP
244  *  \param  group  EC_GROUP object
245  *  \param  order  BIGNUM to which the order is copied
246  *  \param  ctx    BN_CTX object (optional)
247  *  \return 1 on success and 0 if an error occured
248  */
249 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
250 
251 /** Gets the cofactor of a EC_GROUP
252  *  \param  group     EC_GROUP object
253  *  \param  cofactor  BIGNUM to which the cofactor is copied
254  *  \param  ctx       BN_CTX object (optional)
255  *  \return 1 on success and 0 if an error occured
256  */
257 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
258                           BN_CTX *ctx);
259 
260 /** Sets the name of a EC_GROUP object
261  *  \param  group  EC_GROUP object
262  *  \param  nid    NID of the curve name OID
263  */
264 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
265 
266 /** Returns the curve name of a EC_GROUP object
267  *  \param  group  EC_GROUP object
268  *  \return NID of the curve name OID or 0 if not set.
269  */
270 int EC_GROUP_get_curve_name(const EC_GROUP *group);
271 
272 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
273 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
274 
275 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
276                                         point_conversion_form_t form);
277 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
278 
279 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
280 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
281 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
282 
283 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
284  *  \param  group  EC_GROUP object
285  *  \param  p      BIGNUM with the prime number
286  *  \param  a      BIGNUM with parameter a of the equation
287  *  \param  b      BIGNUM with parameter b of the equation
288  *  \param  ctx    BN_CTX object (optional)
289  *  \return 1 on success and 0 if an error occured
290  */
291 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
292                            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  */
302 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
303                            BIGNUM *b, BN_CTX *ctx);
304 
305 # ifndef OPENSSL_NO_EC2M
306 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
307  *  \param  group  EC_GROUP object
308  *  \param  p      BIGNUM with the polynomial defining the underlying field
309  *  \param  a      BIGNUM with parameter a of the equation
310  *  \param  b      BIGNUM with parameter b of the equation
311  *  \param  ctx    BN_CTX object (optional)
312  *  \return 1 on success and 0 if an error occured
313  */
314 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
315                             const BIGNUM *b, BN_CTX *ctx);
316 
317 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
318  *  \param  group  EC_GROUP object
319  *  \param  p      BIGNUM for the polynomial defining the underlying field
320  *  \param  a      BIGNUM for parameter a of the equation
321  *  \param  b      BIGNUM for parameter b of the equation
322  *  \param  ctx    BN_CTX object (optional)
323  *  \return 1 on success and 0 if an error occured
324  */
325 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
326                             BIGNUM *b, BN_CTX *ctx);
327 # endif
328 /** Returns the number of bits needed to represent a field element
329  *  \param  group  EC_GROUP object
330  *  \return number of bits needed to represent a field element
331  */
332 int EC_GROUP_get_degree(const EC_GROUP *group);
333 
334 /** Checks whether the parameter in the EC_GROUP define a valid ec group
335  *  \param  group  EC_GROUP object
336  *  \param  ctx    BN_CTX object (optional)
337  *  \return 1 if group is a valid ec group and 0 otherwise
338  */
339 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
340 
341 /** Checks whether the discriminant of the elliptic curve is zero or not
342  *  \param  group  EC_GROUP object
343  *  \param  ctx    BN_CTX object (optional)
344  *  \return 1 if the discriminant is not zero and 0 otherwise
345  */
346 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
347 
348 /** Compares two EC_GROUP objects
349  *  \param  a    first EC_GROUP object
350  *  \param  b    second EC_GROUP object
351  *  \param  ctx  BN_CTX object (optional)
352  *  \return 0 if both groups are equal and 1 otherwise
353  */
354 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
355 
356 /*
357  * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
358  * choosing an appropriate EC_METHOD
359  */
360 
361 /** Creates a new EC_GROUP object with the specified parameters defined
362  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
363  *  \param  p    BIGNUM with the prime number
364  *  \param  a    BIGNUM with the parameter a of the equation
365  *  \param  b    BIGNUM with the parameter b of the equation
366  *  \param  ctx  BN_CTX object (optional)
367  *  \return newly created EC_GROUP object with the specified parameters
368  */
369 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
370                                  const BIGNUM *b, BN_CTX *ctx);
371 # ifndef OPENSSL_NO_EC2M
372 /** Creates a new EC_GROUP object with the specified parameters defined
373  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
374  *  \param  p    BIGNUM with the polynomial defining the underlying field
375  *  \param  a    BIGNUM with the parameter a of the equation
376  *  \param  b    BIGNUM with the parameter b of the equation
377  *  \param  ctx  BN_CTX object (optional)
378  *  \return newly created EC_GROUP object with the specified parameters
379  */
380 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
381                                   const BIGNUM *b, BN_CTX *ctx);
382 # endif
383 /** Creates a EC_GROUP object with a curve specified by a NID
384  *  \param  nid  NID of the OID of the curve name
385  *  \return newly created EC_GROUP object with specified curve or NULL
386  *          if an error occurred
387  */
388 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
389 
390 /********************************************************************/
391 /*               handling of internal curves                        */
392 /********************************************************************/
393 
394 typedef struct {
395     int nid;
396     const char *comment;
397 } EC_builtin_curve;
398 
399 /*
400  * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
401  * available curves or zero if a error occurred. In case r ist not zero
402  * nitems EC_builtin_curve structures are filled with the data of the first
403  * nitems internal groups
404  */
405 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
406 
407 /********************************************************************/
408 /*                    EC_POINT functions                            */
409 /********************************************************************/
410 
411 /** Creates a new EC_POINT object for the specified EC_GROUP
412  *  \param  group  EC_GROUP the underlying EC_GROUP object
413  *  \return newly created EC_POINT object or NULL if an error occurred
414  */
415 EC_POINT *EC_POINT_new(const EC_GROUP *group);
416 
417 /** Frees a EC_POINT object
418  *  \param  point  EC_POINT object to be freed
419  */
420 void EC_POINT_free(EC_POINT *point);
421 
422 /** Clears and frees a EC_POINT object
423  *  \param  point  EC_POINT object to be cleared and freed
424  */
425 void EC_POINT_clear_free(EC_POINT *point);
426 
427 /** Copies EC_POINT object
428  *  \param  dst  destination EC_POINT object
429  *  \param  src  source EC_POINT object
430  *  \return 1 on success and 0 if an error occured
431  */
432 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
433 
434 /** Creates a new EC_POINT object and copies the content of the supplied
435  *  EC_POINT
436  *  \param  src    source EC_POINT object
437  *  \param  group  underlying the EC_GROUP object
438  *  \return newly created EC_POINT object or NULL if an error occurred
439  */
440 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
441 
442 /** Returns the EC_METHOD used in EC_POINT object
443  *  \param  point  EC_POINT object
444  *  \return the EC_METHOD used
445  */
446 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
447 
448 /** Sets a point to infinity (neutral element)
449  *  \param  group  underlying EC_GROUP object
450  *  \param  point  EC_POINT to set to infinity
451  *  \return 1 on success and 0 if an error occured
452  */
453 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
454 
455 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
456  *  \param  group  underlying EC_GROUP object
457  *  \param  p      EC_POINT object
458  *  \param  x      BIGNUM with the x-coordinate
459  *  \param  y      BIGNUM with the y-coordinate
460  *  \param  z      BIGNUM with the z-coordinate
461  *  \param  ctx    BN_CTX object (optional)
462  *  \return 1 on success and 0 if an error occured
463  */
464 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
465                                              EC_POINT *p, const BIGNUM *x,
466                                              const BIGNUM *y, const BIGNUM *z,
467                                              BN_CTX *ctx);
468 
469 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
470  *  \param  group  underlying EC_GROUP object
471  *  \param  p      EC_POINT object
472  *  \param  x      BIGNUM for the x-coordinate
473  *  \param  y      BIGNUM for the y-coordinate
474  *  \param  z      BIGNUM for the z-coordinate
475  *  \param  ctx    BN_CTX object (optional)
476  *  \return 1 on success and 0 if an error occured
477  */
478 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
479                                              const EC_POINT *p, BIGNUM *x,
480                                              BIGNUM *y, BIGNUM *z,
481                                              BN_CTX *ctx);
482 
483 /** Sets 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 with the x-coordinate
487  *  \param  y      BIGNUM with the y-coordinate
488  *  \param  ctx    BN_CTX object (optional)
489  *  \return 1 on success and 0 if an error occured
490  */
491 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
492                                         const BIGNUM *x, const BIGNUM *y,
493                                         BN_CTX *ctx);
494 
495 /** Gets the affine coordinates of a EC_POINT over GFp
496  *  \param  group  underlying EC_GROUP object
497  *  \param  p      EC_POINT object
498  *  \param  x      BIGNUM for the x-coordinate
499  *  \param  y      BIGNUM for the y-coordinate
500  *  \param  ctx    BN_CTX object (optional)
501  *  \return 1 on success and 0 if an error occured
502  */
503 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
504                                         const EC_POINT *p, BIGNUM *x,
505                                         BIGNUM *y, BN_CTX *ctx);
506 
507 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
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_GFp(const EC_GROUP *group,
516                                             EC_POINT *p, const BIGNUM *x,
517                                             int y_bit, BN_CTX *ctx);
518 # ifndef OPENSSL_NO_EC2M
519 /** Sets the affine coordinates of a EC_POINT over GF2m
520  *  \param  group  underlying EC_GROUP object
521  *  \param  p      EC_POINT object
522  *  \param  x      BIGNUM with the x-coordinate
523  *  \param  y      BIGNUM with the y-coordinate
524  *  \param  ctx    BN_CTX object (optional)
525  *  \return 1 on success and 0 if an error occured
526  */
527 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
528                                          const BIGNUM *x, const BIGNUM *y,
529                                          BN_CTX *ctx);
530 
531 /** Gets the affine coordinates of a EC_POINT over GF2m
532  *  \param  group  underlying EC_GROUP object
533  *  \param  p      EC_POINT object
534  *  \param  x      BIGNUM for the x-coordinate
535  *  \param  y      BIGNUM for the y-coordinate
536  *  \param  ctx    BN_CTX object (optional)
537  *  \return 1 on success and 0 if an error occured
538  */
539 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
540                                          const EC_POINT *p, BIGNUM *x,
541                                          BIGNUM *y, BN_CTX *ctx);
542 
543 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
544  *  \param  group  underlying EC_GROUP object
545  *  \param  p      EC_POINT object
546  *  \param  x      BIGNUM with x-coordinate
547  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
548  *  \param  ctx    BN_CTX object (optional)
549  *  \return 1 on success and 0 if an error occured
550  */
551 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
552                                              EC_POINT *p, const BIGNUM *x,
553                                              int y_bit, BN_CTX *ctx);
554 # endif
555 /** Encodes a EC_POINT object to a octet string
556  *  \param  group  underlying EC_GROUP object
557  *  \param  p      EC_POINT object
558  *  \param  form   point conversion form
559  *  \param  buf    memory buffer for the result. If NULL the function returns
560  *                 required buffer size.
561  *  \param  len    length of the memory buffer
562  *  \param  ctx    BN_CTX object (optional)
563  *  \return the length of the encoded octet string or 0 if an error occurred
564  */
565 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
566                           point_conversion_form_t form,
567                           unsigned char *buf, size_t len, BN_CTX *ctx);
568 
569 /** Decodes a EC_POINT from a octet string
570  *  \param  group  underlying EC_GROUP object
571  *  \param  p      EC_POINT object
572  *  \param  buf    memory buffer with the encoded ec point
573  *  \param  len    length of the encoded ec point
574  *  \param  ctx    BN_CTX object (optional)
575  *  \return 1 on success and 0 if an error occured
576  */
577 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
578                        const unsigned char *buf, size_t len, BN_CTX *ctx);
579 
580 /* other interfaces to point2oct/oct2point: */
581 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
582                           point_conversion_form_t form, BIGNUM *, BN_CTX *);
583 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
584                             EC_POINT *, BN_CTX *);
585 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
586                          point_conversion_form_t form, BN_CTX *);
587 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
588                              EC_POINT *, BN_CTX *);
589 
590 /********************************************************************/
591 /*         functions for doing EC_POINT arithmetic                  */
592 /********************************************************************/
593 
594 /** Computes the sum of two EC_POINT
595  *  \param  group  underlying EC_GROUP object
596  *  \param  r      EC_POINT object for the result (r = a + b)
597  *  \param  a      EC_POINT object with the first summand
598  *  \param  b      EC_POINT object with the second summand
599  *  \param  ctx    BN_CTX object (optional)
600  *  \return 1 on success and 0 if an error occured
601  */
602 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
603                  const EC_POINT *b, BN_CTX *ctx);
604 
605 /** Computes the double of a EC_POINT
606  *  \param  group  underlying EC_GROUP object
607  *  \param  r      EC_POINT object for the result (r = 2 * a)
608  *  \param  a      EC_POINT object
609  *  \param  ctx    BN_CTX object (optional)
610  *  \return 1 on success and 0 if an error occured
611  */
612 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
613                  BN_CTX *ctx);
614 
615 /** Computes the inverse of a EC_POINT
616  *  \param  group  underlying EC_GROUP object
617  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
618  *  \param  ctx    BN_CTX object (optional)
619  *  \return 1 on success and 0 if an error occured
620  */
621 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
622 
623 /** Checks whether the point is the neutral element of the group
624  *  \param  group  the underlying EC_GROUP object
625  *  \param  p      EC_POINT object
626  *  \return 1 if the point is the neutral element and 0 otherwise
627  */
628 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
629 
630 /** Checks whether the point is on the curve
631  *  \param  group  underlying EC_GROUP object
632  *  \param  point  EC_POINT object to check
633  *  \param  ctx    BN_CTX object (optional)
634  *  \return 1 if point if on the curve and 0 otherwise
635  */
636 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
637                          BN_CTX *ctx);
638 
639 /** Compares two EC_POINTs
640  *  \param  group  underlying EC_GROUP object
641  *  \param  a      first EC_POINT object
642  *  \param  b      second EC_POINT object
643  *  \param  ctx    BN_CTX object (optional)
644  *  \return 0 if both points are equal and a value != 0 otherwise
645  */
646 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
647                  BN_CTX *ctx);
648 
649 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
650 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
651                           EC_POINT *points[], BN_CTX *ctx);
652 
653 /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
654  *  \param  group  underlying EC_GROUP object
655  *  \param  r      EC_POINT object for the result
656  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
657  *  \param  num    number futher summands
658  *  \param  p      array of size num of EC_POINT objects
659  *  \param  m      array of size num of BIGNUM objects
660  *  \param  ctx    BN_CTX object (optional)
661  *  \return 1 on success and 0 if an error occured
662  */
663 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
664                   size_t num, const EC_POINT *p[], const BIGNUM *m[],
665                   BN_CTX *ctx);
666 
667 /** Computes r = generator * n + q * m
668  *  \param  group  underlying EC_GROUP object
669  *  \param  r      EC_POINT object for the result
670  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
671  *  \param  q      EC_POINT object with the first factor of the second summand
672  *  \param  m      BIGNUM with the second factor of the second summand
673  *  \param  ctx    BN_CTX object (optional)
674  *  \return 1 on success and 0 if an error occured
675  */
676 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
677                  const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
678 
679 /** Stores multiples of generator for faster point multiplication
680  *  \param  group  EC_GROUP object
681  *  \param  ctx    BN_CTX object (optional)
682  *  \return 1 on success and 0 if an error occured
683  */
684 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
685 
686 /** Reports whether a precomputation has been done
687  *  \param  group  EC_GROUP object
688  *  \return 1 if a pre-computation has been done and 0 otherwise
689  */
690 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
691 
692 /********************************************************************/
693 /*                       ASN1 stuff                                 */
694 /********************************************************************/
695 
696 /*
697  * EC_GROUP_get_basis_type() returns the NID of the basis type used to
698  * represent the field elements
699  */
700 int EC_GROUP_get_basis_type(const EC_GROUP *);
701 # ifndef OPENSSL_NO_EC2M
702 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
703 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
704                                    unsigned int *k2, unsigned int *k3);
705 # endif
706 
707 # define OPENSSL_EC_NAMED_CURVE  0x001
708 
709 typedef struct ecpk_parameters_st ECPKPARAMETERS;
710 
711 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
712 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
713 
714 # define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
715 # define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
716 # define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
717                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
718 # define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
719                 (unsigned char *)(x))
720 
721 # ifndef OPENSSL_NO_BIO
722 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
723 # endif
724 # ifndef OPENSSL_NO_FP_API
725 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
726 # endif
727 
728 /********************************************************************/
729 /*                      EC_KEY functions                            */
730 /********************************************************************/
731 
732 typedef struct ec_key_st EC_KEY;
733 
734 /* some values for the encoding_flag */
735 # define EC_PKEY_NO_PARAMETERS   0x001
736 # define EC_PKEY_NO_PUBKEY       0x002
737 
738 /* some values for the flags field */
739 # define EC_FLAG_NON_FIPS_ALLOW  0x1
740 # define EC_FLAG_FIPS_CHECKED    0x2
741 
742 /** Creates a new EC_KEY object.
743  *  \return EC_KEY object or NULL if an error occurred.
744  */
745 EC_KEY *EC_KEY_new(void);
746 
747 int EC_KEY_get_flags(const EC_KEY *key);
748 
749 void EC_KEY_set_flags(EC_KEY *key, int flags);
750 
751 void EC_KEY_clear_flags(EC_KEY *key, int flags);
752 
753 /** Creates a new EC_KEY object using a named curve as underlying
754  *  EC_GROUP object.
755  *  \param  nid  NID of the named curve.
756  *  \return EC_KEY object or NULL if an error occurred.
757  */
758 EC_KEY *EC_KEY_new_by_curve_name(int nid);
759 
760 /** Frees a EC_KEY object.
761  *  \param  key  EC_KEY object to be freed.
762  */
763 void EC_KEY_free(EC_KEY *key);
764 
765 /** Copies a EC_KEY object.
766  *  \param  dst  destination EC_KEY object
767  *  \param  src  src EC_KEY object
768  *  \return dst or NULL if an error occurred.
769  */
770 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
771 
772 /** Creates a new EC_KEY object and copies the content from src to it.
773  *  \param  src  the source EC_KEY object
774  *  \return newly created EC_KEY object or NULL if an error occurred.
775  */
776 EC_KEY *EC_KEY_dup(const EC_KEY *src);
777 
778 /** Increases the internal reference count of a EC_KEY object.
779  *  \param  key  EC_KEY object
780  *  \return 1 on success and 0 if an error occurred.
781  */
782 int EC_KEY_up_ref(EC_KEY *key);
783 
784 /** Returns the EC_GROUP object of a EC_KEY object
785  *  \param  key  EC_KEY object
786  *  \return the EC_GROUP object (possibly NULL).
787  */
788 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
789 
790 /** Sets the EC_GROUP of a EC_KEY object.
791  *  \param  key    EC_KEY object
792  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
793  *                 object will use an own copy of the EC_GROUP).
794  *  \return 1 on success and 0 if an error occurred.
795  */
796 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
797 
798 /** Returns the private key of a EC_KEY object.
799  *  \param  key  EC_KEY object
800  *  \return a BIGNUM with the private key (possibly NULL).
801  */
802 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
803 
804 /** Sets the private key of a EC_KEY object.
805  *  \param  key  EC_KEY object
806  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
807  *               will use an own copy of the BIGNUM).
808  *  \return 1 on success and 0 if an error occurred.
809  */
810 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
811 
812 /** Returns the public key of a EC_KEY object.
813  *  \param  key  the EC_KEY object
814  *  \return a EC_POINT object with the public key (possibly NULL)
815  */
816 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
817 
818 /** Sets the public key of a EC_KEY object.
819  *  \param  key  EC_KEY object
820  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
821  *               will use an own copy of the EC_POINT object).
822  *  \return 1 on success and 0 if an error occurred.
823  */
824 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
825 
826 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
827 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
828 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
829 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
830 /* functions to set/get method specific data  */
831 void *EC_KEY_get_key_method_data(EC_KEY *key,
832                                  void *(*dup_func) (void *),
833                                  void (*free_func) (void *),
834                                  void (*clear_free_func) (void *));
835 /** Sets the key method data of an EC_KEY object, if none has yet been set.
836  *  \param  key              EC_KEY object
837  *  \param  data             opaque data to install.
838  *  \param  dup_func         a function that duplicates |data|.
839  *  \param  free_func        a function that frees |data|.
840  *  \param  clear_free_func  a function that wipes and frees |data|.
841  *  \return the previously set data pointer, or NULL if |data| was inserted.
842  */
843 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
844                                     void *(*dup_func) (void *),
845                                     void (*free_func) (void *),
846                                     void (*clear_free_func) (void *));
847 /* wrapper functions for the underlying EC_GROUP object */
848 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
849 
850 /** Creates a table of pre-computed multiples of the generator to
851  *  accelerate further EC_KEY operations.
852  *  \param  key  EC_KEY object
853  *  \param  ctx  BN_CTX object (optional)
854  *  \return 1 on success and 0 if an error occurred.
855  */
856 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
857 
858 /** Creates a new ec private (and optional a new public) key.
859  *  \param  key  EC_KEY object
860  *  \return 1 on success and 0 if an error occurred.
861  */
862 int EC_KEY_generate_key(EC_KEY *key);
863 
864 /** Verifies that a private and/or public key is valid.
865  *  \param  key  the EC_KEY object
866  *  \return 1 on success and 0 otherwise.
867  */
868 int EC_KEY_check_key(const EC_KEY *key);
869 
870 /** Sets a public key from affine coordindates performing
871  *  neccessary NIST PKV tests.
872  *  \param  key  the EC_KEY object
873  *  \param  x    public key x coordinate
874  *  \param  y    public key y coordinate
875  *  \return 1 on success and 0 otherwise.
876  */
877 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
878                                              BIGNUM *y);
879 
880 /********************************************************************/
881 /*        de- and encoding functions for SEC1 ECPrivateKey          */
882 /********************************************************************/
883 
884 /** Decodes a private key from a memory buffer.
885  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
886  *  \param  in   pointer to memory with the DER encoded private key
887  *  \param  len  length of the DER encoded private key
888  *  \return the decoded private key or NULL if an error occurred.
889  */
890 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
891 
892 /** Encodes a private key object and stores the result in a buffer.
893  *  \param  key  the EC_KEY object to encode
894  *  \param  out  the buffer for the result (if NULL the function returns number
895  *               of bytes needed).
896  *  \return 1 on success and 0 if an error occurred.
897  */
898 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
899 
900 /********************************************************************/
901 /*        de- and encoding functions for EC parameters              */
902 /********************************************************************/
903 
904 /** Decodes ec parameter from a memory buffer.
905  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
906  *  \param  in   pointer to memory with the DER encoded ec parameters
907  *  \param  len  length of the DER encoded ec parameters
908  *  \return a EC_KEY object with the decoded parameters or NULL if an error
909  *          occurred.
910  */
911 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
912 
913 /** Encodes ec parameter and stores the result in a buffer.
914  *  \param  key  the EC_KEY object with ec paramters to encode
915  *  \param  out  the buffer for the result (if NULL the function returns number
916  *               of bytes needed).
917  *  \return 1 on success and 0 if an error occurred.
918  */
919 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
920 
921 /********************************************************************/
922 /*         de- and encoding functions for EC public key             */
923 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
924 /********************************************************************/
925 
926 /** Decodes a ec public key from a octet string.
927  *  \param  key  a pointer to a EC_KEY object which should be used
928  *  \param  in   memory buffer with the encoded public key
929  *  \param  len  length of the encoded public key
930  *  \return EC_KEY object with decoded public key or NULL if an error
931  *          occurred.
932  */
933 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
934 
935 /** Encodes a ec public key in an octet string.
936  *  \param  key  the EC_KEY object with the public key
937  *  \param  out  the buffer for the result (if NULL the function returns number
938  *               of bytes needed).
939  *  \return 1 on success and 0 if an error occurred
940  */
941 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
942 
943 # ifndef OPENSSL_NO_BIO
944 /** Prints out the ec parameters on human readable form.
945  *  \param  bp   BIO object to which the information is printed
946  *  \param  key  EC_KEY object
947  *  \return 1 on success and 0 if an error occurred
948  */
949 int ECParameters_print(BIO *bp, const EC_KEY *key);
950 
951 /** Prints out the contents of a EC_KEY object
952  *  \param  bp   BIO object to which the information is printed
953  *  \param  key  EC_KEY object
954  *  \param  off  line offset
955  *  \return 1 on success and 0 if an error occurred
956  */
957 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
958 
959 # endif
960 # ifndef OPENSSL_NO_FP_API
961 /** Prints out the ec parameters on human readable form.
962  *  \param  fp   file descriptor to which the information is printed
963  *  \param  key  EC_KEY object
964  *  \return 1 on success and 0 if an error occurred
965  */
966 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
967 
968 /** Prints out the contents of a EC_KEY object
969  *  \param  fp   file descriptor to which the information is printed
970  *  \param  key  EC_KEY object
971  *  \param  off  line offset
972  *  \return 1 on success and 0 if an error occurred
973  */
974 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
975 
976 # endif
977 
978 # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
979 
980 # ifndef __cplusplus
981 #  if defined(__SUNPRO_C)
982 #   if __SUNPRO_C >= 0x520
983 #    pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
984 #   endif
985 #  endif
986 # endif
987 
988 # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
989         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
990                                 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
991 
992 # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID             (EVP_PKEY_ALG_CTRL + 1)
993 
994 /* BEGIN ERROR CODES */
995 /*
996  * The following lines are auto generated by the script mkerr.pl. Any changes
997  * made after this point may be overwritten when the script is next run.
998  */
999 void ERR_load_EC_strings(void);
1000 
1001 /* Error codes for the EC functions. */
1002 
1003 /* Function codes. */
1004 # define EC_F_BN_TO_FELEM                                 224
1005 # define EC_F_COMPUTE_WNAF                                143
1006 # define EC_F_D2I_ECPARAMETERS                            144
1007 # define EC_F_D2I_ECPKPARAMETERS                          145
1008 # define EC_F_D2I_ECPRIVATEKEY                            146
1009 # define EC_F_DO_EC_KEY_PRINT                             221
1010 # define EC_F_ECKEY_PARAM2TYPE                            223
1011 # define EC_F_ECKEY_PARAM_DECODE                          212
1012 # define EC_F_ECKEY_PRIV_DECODE                           213
1013 # define EC_F_ECKEY_PRIV_ENCODE                           214
1014 # define EC_F_ECKEY_PUB_DECODE                            215
1015 # define EC_F_ECKEY_PUB_ENCODE                            216
1016 # define EC_F_ECKEY_TYPE2PARAM                            220
1017 # define EC_F_ECPARAMETERS_PRINT                          147
1018 # define EC_F_ECPARAMETERS_PRINT_FP                       148
1019 # define EC_F_ECPKPARAMETERS_PRINT                        149
1020 # define EC_F_ECPKPARAMETERS_PRINT_FP                     150
1021 # define EC_F_ECP_NIST_MOD_192                            203
1022 # define EC_F_ECP_NIST_MOD_224                            204
1023 # define EC_F_ECP_NIST_MOD_256                            205
1024 # define EC_F_ECP_NIST_MOD_521                            206
1025 # define EC_F_EC_ASN1_GROUP2CURVE                         153
1026 # define EC_F_EC_ASN1_GROUP2FIELDID                       154
1027 # define EC_F_EC_ASN1_GROUP2PARAMETERS                    155
1028 # define EC_F_EC_ASN1_GROUP2PKPARAMETERS                  156
1029 # define EC_F_EC_ASN1_PARAMETERS2GROUP                    157
1030 # define EC_F_EC_ASN1_PKPARAMETERS2GROUP                  158
1031 # define EC_F_EC_EX_DATA_SET_DATA                         211
1032 # define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY           208
1033 # define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT     159
1034 # define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE              195
1035 # define EC_F_EC_GF2M_SIMPLE_OCT2POINT                    160
1036 # define EC_F_EC_GF2M_SIMPLE_POINT2OCT                    161
1037 # define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1038 # define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1039 # define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES   164
1040 # define EC_F_EC_GFP_MONT_FIELD_DECODE                    133
1041 # define EC_F_EC_GFP_MONT_FIELD_ENCODE                    134
1042 # define EC_F_EC_GFP_MONT_FIELD_MUL                       131
1043 # define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE                209
1044 # define EC_F_EC_GFP_MONT_FIELD_SQR                       132
1045 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE                 189
1046 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP             135
1047 # define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE             225
1048 # define EC_F_EC_GFP_NISTP224_POINTS_MUL                  228
1049 # define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1050 # define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE             230
1051 # define EC_F_EC_GFP_NISTP256_POINTS_MUL                  231
1052 # define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1053 # define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE             233
1054 # define EC_F_EC_GFP_NISTP521_POINTS_MUL                  234
1055 # define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1056 # define EC_F_EC_GFP_NIST_FIELD_MUL                       200
1057 # define EC_F_EC_GFP_NIST_FIELD_SQR                       201
1058 # define EC_F_EC_GFP_NIST_GROUP_SET_CURVE                 202
1059 # define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT      165
1060 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE               166
1061 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP           100
1062 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR           101
1063 # define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE                   102
1064 # define EC_F_EC_GFP_SIMPLE_OCT2POINT                     103
1065 # define EC_F_EC_GFP_SIMPLE_POINT2OCT                     104
1066 # define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE            137
1067 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES  167
1068 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1069 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES  168
1070 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1071 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES    169
1072 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1073 # define EC_F_EC_GROUP_CHECK                              170
1074 # define EC_F_EC_GROUP_CHECK_DISCRIMINANT                 171
1075 # define EC_F_EC_GROUP_COPY                               106
1076 # define EC_F_EC_GROUP_GET0_GENERATOR                     139
1077 # define EC_F_EC_GROUP_GET_COFACTOR                       140
1078 # define EC_F_EC_GROUP_GET_CURVE_GF2M                     172
1079 # define EC_F_EC_GROUP_GET_CURVE_GFP                      130
1080 # define EC_F_EC_GROUP_GET_DEGREE                         173
1081 # define EC_F_EC_GROUP_GET_ORDER                          141
1082 # define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS              193
1083 # define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS                194
1084 # define EC_F_EC_GROUP_NEW                                108
1085 # define EC_F_EC_GROUP_NEW_BY_CURVE_NAME                  174
1086 # define EC_F_EC_GROUP_NEW_FROM_DATA                      175
1087 # define EC_F_EC_GROUP_PRECOMPUTE_MULT                    142
1088 # define EC_F_EC_GROUP_SET_CURVE_GF2M                     176
1089 # define EC_F_EC_GROUP_SET_CURVE_GFP                      109
1090 # define EC_F_EC_GROUP_SET_EXTRA_DATA                     110
1091 # define EC_F_EC_GROUP_SET_GENERATOR                      111
1092 # define EC_F_EC_KEY_CHECK_KEY                            177
1093 # define EC_F_EC_KEY_COPY                                 178
1094 # define EC_F_EC_KEY_GENERATE_KEY                         179
1095 # define EC_F_EC_KEY_NEW                                  182
1096 # define EC_F_EC_KEY_PRINT                                180
1097 # define EC_F_EC_KEY_PRINT_FP                             181
1098 # define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES    229
1099 # define EC_F_EC_POINTS_MAKE_AFFINE                       136
1100 # define EC_F_EC_POINT_ADD                                112
1101 # define EC_F_EC_POINT_CMP                                113
1102 # define EC_F_EC_POINT_COPY                               114
1103 # define EC_F_EC_POINT_DBL                                115
1104 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M        183
1105 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP         116
1106 # define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP    117
1107 # define EC_F_EC_POINT_INVERT                             210
1108 # define EC_F_EC_POINT_IS_AT_INFINITY                     118
1109 # define EC_F_EC_POINT_IS_ON_CURVE                        119
1110 # define EC_F_EC_POINT_MAKE_AFFINE                        120
1111 # define EC_F_EC_POINT_MUL                                184
1112 # define EC_F_EC_POINT_NEW                                121
1113 # define EC_F_EC_POINT_OCT2POINT                          122
1114 # define EC_F_EC_POINT_POINT2OCT                          123
1115 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M        185
1116 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP         124
1117 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M    186
1118 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP     125
1119 # define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP    126
1120 # define EC_F_EC_POINT_SET_TO_INFINITY                    127
1121 # define EC_F_EC_PRE_COMP_DUP                             207
1122 # define EC_F_EC_PRE_COMP_NEW                             196
1123 # define EC_F_EC_WNAF_MUL                                 187
1124 # define EC_F_EC_WNAF_PRECOMPUTE_MULT                     188
1125 # define EC_F_I2D_ECPARAMETERS                            190
1126 # define EC_F_I2D_ECPKPARAMETERS                          191
1127 # define EC_F_I2D_ECPRIVATEKEY                            192
1128 # define EC_F_I2O_ECPUBLICKEY                             151
1129 # define EC_F_NISTP224_PRE_COMP_NEW                       227
1130 # define EC_F_NISTP256_PRE_COMP_NEW                       236
1131 # define EC_F_NISTP521_PRE_COMP_NEW                       237
1132 # define EC_F_O2I_ECPUBLICKEY                             152
1133 # define EC_F_OLD_EC_PRIV_DECODE                          222
1134 # define EC_F_PKEY_EC_CTRL                                197
1135 # define EC_F_PKEY_EC_CTRL_STR                            198
1136 # define EC_F_PKEY_EC_DERIVE                              217
1137 # define EC_F_PKEY_EC_KEYGEN                              199
1138 # define EC_F_PKEY_EC_PARAMGEN                            219
1139 # define EC_F_PKEY_EC_SIGN                                218
1140 
1141 /* Reason codes. */
1142 # define EC_R_ASN1_ERROR                                  115
1143 # define EC_R_ASN1_UNKNOWN_FIELD                          116
1144 # define EC_R_BIGNUM_OUT_OF_RANGE                         144
1145 # define EC_R_BUFFER_TOO_SMALL                            100
1146 # define EC_R_COORDINATES_OUT_OF_RANGE                    146
1147 # define EC_R_D2I_ECPKPARAMETERS_FAILURE                  117
1148 # define EC_R_DECODE_ERROR                                142
1149 # define EC_R_DISCRIMINANT_IS_ZERO                        118
1150 # define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE                119
1151 # define EC_R_FIELD_TOO_LARGE                             143
1152 # define EC_R_GF2M_NOT_SUPPORTED                          147
1153 # define EC_R_GROUP2PKPARAMETERS_FAILURE                  120
1154 # define EC_R_I2D_ECPKPARAMETERS_FAILURE                  121
1155 # define EC_R_INCOMPATIBLE_OBJECTS                        101
1156 # define EC_R_INVALID_ARGUMENT                            112
1157 # define EC_R_INVALID_COMPRESSED_POINT                    110
1158 # define EC_R_INVALID_COMPRESSION_BIT                     109
1159 # define EC_R_INVALID_CURVE                               141
1160 # define EC_R_INVALID_DIGEST_TYPE                         138
1161 # define EC_R_INVALID_ENCODING                            102
1162 # define EC_R_INVALID_FIELD                               103
1163 # define EC_R_INVALID_FORM                                104
1164 # define EC_R_INVALID_GROUP_ORDER                         122
1165 # define EC_R_INVALID_PENTANOMIAL_BASIS                   132
1166 # define EC_R_INVALID_PRIVATE_KEY                         123
1167 # define EC_R_INVALID_TRINOMIAL_BASIS                     137
1168 # define EC_R_KEYS_NOT_SET                                140
1169 # define EC_R_MISSING_PARAMETERS                          124
1170 # define EC_R_MISSING_PRIVATE_KEY                         125
1171 # define EC_R_NOT_A_NIST_PRIME                            135
1172 # define EC_R_NOT_A_SUPPORTED_NIST_PRIME                  136
1173 # define EC_R_NOT_IMPLEMENTED                             126
1174 # define EC_R_NOT_INITIALIZED                             111
1175 # define EC_R_NO_FIELD_MOD                                133
1176 # define EC_R_NO_PARAMETERS_SET                           139
1177 # define EC_R_PASSED_NULL_PARAMETER                       134
1178 # define EC_R_PKPARAMETERS2GROUP_FAILURE                  127
1179 # define EC_R_POINT_AT_INFINITY                           106
1180 # define EC_R_POINT_IS_NOT_ON_CURVE                       107
1181 # define EC_R_SLOT_FULL                                   108
1182 # define EC_R_UNDEFINED_GENERATOR                         113
1183 # define EC_R_UNDEFINED_ORDER                             128
1184 # define EC_R_UNKNOWN_GROUP                               129
1185 # define EC_R_UNKNOWN_ORDER                               114
1186 # define EC_R_UNSUPPORTED_FIELD                           131
1187 # define EC_R_WRONG_CURVE_PARAMETERS                      145
1188 # define EC_R_WRONG_ORDER                                 130
1189 
1190 #ifdef  __cplusplus
1191 }
1192 #endif
1193 #endif
1194