xref: /freebsd/crypto/openssl/include/openssl/ec.h (revision 8ddb146abcdf061be9f2c0db7e391697dafad85c)
1 /*
2  * Copyright 2002-2021 The OpenSSL Project Authors. All Rights Reserved.
3  * Copyright (c) 2002, Oracle and/or its affiliates. All rights reserved
4  *
5  * Licensed under the OpenSSL license (the "License").  You may not use
6  * this file except in compliance with the License.  You can obtain a copy
7  * in the file LICENSE in the source distribution or at
8  * https://www.openssl.org/source/license.html
9  */
10 
11 #ifndef HEADER_EC_H
12 # define HEADER_EC_H
13 
14 # include <openssl/opensslconf.h>
15 
16 # ifndef OPENSSL_NO_EC
17 # include <openssl/asn1.h>
18 # include <openssl/symhacks.h>
19 # if OPENSSL_API_COMPAT < 0x10100000L
20 #  include <openssl/bn.h>
21 # endif
22 # include <openssl/ecerr.h>
23 # ifdef  __cplusplus
24 extern "C" {
25 # endif
26 
27 # ifndef OPENSSL_ECC_MAX_FIELD_BITS
28 #  define OPENSSL_ECC_MAX_FIELD_BITS 661
29 # endif
30 
31 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
32  *  for the encoding of a elliptic curve point (x,y) */
33 typedef enum {
34         /** the point is encoded as z||x, where the octet z specifies
35          *  which solution of the quadratic equation y is  */
36     POINT_CONVERSION_COMPRESSED = 2,
37         /** the point is encoded as z||x||y, where z is the octet 0x04  */
38     POINT_CONVERSION_UNCOMPRESSED = 4,
39         /** the point is encoded as z||x||y, where the octet z specifies
40          *  which solution of the quadratic equation y is  */
41     POINT_CONVERSION_HYBRID = 6
42 } point_conversion_form_t;
43 
44 typedef struct ec_method_st EC_METHOD;
45 typedef struct ec_group_st EC_GROUP;
46 typedef struct ec_point_st EC_POINT;
47 typedef struct ecpk_parameters_st ECPKPARAMETERS;
48 typedef struct ec_parameters_st ECPARAMETERS;
49 
50 /********************************************************************/
51 /*               EC_METHODs for curves over GF(p)                   */
52 /********************************************************************/
53 
54 /** Returns the basic GFp ec methods which provides the basis for the
55  *  optimized methods.
56  *  \return  EC_METHOD object
57  */
58 const EC_METHOD *EC_GFp_simple_method(void);
59 
60 /** Returns GFp methods using montgomery multiplication.
61  *  \return  EC_METHOD object
62  */
63 const EC_METHOD *EC_GFp_mont_method(void);
64 
65 /** Returns GFp methods using optimized methods for NIST recommended curves
66  *  \return  EC_METHOD object
67  */
68 const EC_METHOD *EC_GFp_nist_method(void);
69 
70 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
71 /** Returns 64-bit optimized methods for nistp224
72  *  \return  EC_METHOD object
73  */
74 const EC_METHOD *EC_GFp_nistp224_method(void);
75 
76 /** Returns 64-bit optimized methods for nistp256
77  *  \return  EC_METHOD object
78  */
79 const EC_METHOD *EC_GFp_nistp256_method(void);
80 
81 /** Returns 64-bit optimized methods for nistp521
82  *  \return  EC_METHOD object
83  */
84 const EC_METHOD *EC_GFp_nistp521_method(void);
85 # endif
86 
87 # ifndef OPENSSL_NO_EC2M
88 /********************************************************************/
89 /*           EC_METHOD for curves over GF(2^m)                      */
90 /********************************************************************/
91 
92 /** Returns the basic GF2m ec method
93  *  \return  EC_METHOD object
94  */
95 const EC_METHOD *EC_GF2m_simple_method(void);
96 
97 # endif
98 
99 /********************************************************************/
100 /*                   EC_GROUP functions                             */
101 /********************************************************************/
102 
103 /** Creates a new EC_GROUP object
104  *  \param   meth  EC_METHOD to use
105  *  \return  newly created EC_GROUP object or NULL in case of an error.
106  */
107 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
108 
109 /** Frees a EC_GROUP object
110  *  \param  group  EC_GROUP object to be freed.
111  */
112 void EC_GROUP_free(EC_GROUP *group);
113 
114 /** Clears and frees a EC_GROUP object
115  *  \param  group  EC_GROUP object to be cleared and freed.
116  */
117 void EC_GROUP_clear_free(EC_GROUP *group);
118 
119 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
120  *  \param  dst  destination EC_GROUP object
121  *  \param  src  source EC_GROUP object
122  *  \return 1 on success and 0 if an error occurred.
123  */
124 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
125 
126 /** Creates a new EC_GROUP object and copies the copies the content
127  *  form src to the newly created EC_KEY object
128  *  \param  src  source EC_GROUP object
129  *  \return newly created EC_GROUP object or NULL in case of an error.
130  */
131 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
132 
133 /** Returns the EC_METHOD of the EC_GROUP object.
134  *  \param  group  EC_GROUP object
135  *  \return EC_METHOD used in this EC_GROUP object.
136  */
137 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
138 
139 /** Returns the field type of the EC_METHOD.
140  *  \param  meth  EC_METHOD object
141  *  \return NID of the underlying field type OID.
142  */
143 int EC_METHOD_get_field_type(const EC_METHOD *meth);
144 
145 /** Sets the generator and its order/cofactor of a EC_GROUP object.
146  *  \param  group      EC_GROUP object
147  *  \param  generator  EC_POINT object with the generator.
148  *  \param  order      the order of the group generated by the generator.
149  *  \param  cofactor   the index of the sub-group generated by the generator
150  *                     in the group of all points on the elliptic curve.
151  *  \return 1 on success and 0 if an error occurred
152  */
153 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
154                            const BIGNUM *order, const BIGNUM *cofactor);
155 
156 /** Returns the generator of a EC_GROUP object.
157  *  \param  group  EC_GROUP object
158  *  \return the currently used generator (possibly NULL).
159  */
160 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
161 
162 /** Returns the montgomery data for order(Generator)
163  *  \param  group  EC_GROUP object
164  *  \return the currently used montgomery data (possibly NULL).
165 */
166 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
167 
168 /** Gets the order of a EC_GROUP
169  *  \param  group  EC_GROUP object
170  *  \param  order  BIGNUM to which the order is copied
171  *  \param  ctx    unused
172  *  \return 1 on success and 0 if an error occurred
173  */
174 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
175 
176 /** Gets the order of an EC_GROUP
177  *  \param  group  EC_GROUP object
178  *  \return the group order
179  */
180 const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
181 
182 /** Gets the number of bits of the order of an EC_GROUP
183  *  \param  group  EC_GROUP object
184  *  \return number of bits of group order.
185  */
186 int EC_GROUP_order_bits(const EC_GROUP *group);
187 
188 /** Gets the cofactor of a EC_GROUP
189  *  \param  group     EC_GROUP object
190  *  \param  cofactor  BIGNUM to which the cofactor is copied
191  *  \param  ctx       unused
192  *  \return 1 on success and 0 if an error occurred
193  */
194 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
195                           BN_CTX *ctx);
196 
197 /** Gets the cofactor of an EC_GROUP
198  *  \param  group  EC_GROUP object
199  *  \return the group cofactor
200  */
201 const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group);
202 
203 /** Sets the name of a EC_GROUP object
204  *  \param  group  EC_GROUP object
205  *  \param  nid    NID of the curve name OID
206  */
207 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
208 
209 /** Returns the curve name of a EC_GROUP object
210  *  \param  group  EC_GROUP object
211  *  \return NID of the curve name OID or 0 if not set.
212  */
213 int EC_GROUP_get_curve_name(const EC_GROUP *group);
214 
215 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
216 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
217 
218 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
219                                         point_conversion_form_t form);
220 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
221 
222 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
223 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
224 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
225 
226 /** Sets the parameters of a ec curve defined by y^2 = x^3 + a*x + b (for GFp)
227  *  or y^2 + x*y = x^3 + a*x^2 + b (for GF2m)
228  *  \param  group  EC_GROUP object
229  *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
230  *                 defining the underlying field (GF2m)
231  *  \param  a      BIGNUM with parameter a of the equation
232  *  \param  b      BIGNUM with parameter b of the equation
233  *  \param  ctx    BN_CTX object (optional)
234  *  \return 1 on success and 0 if an error occurred
235  */
236 int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
237                        const BIGNUM *b, BN_CTX *ctx);
238 
239 /** Gets the parameters of the ec curve defined by y^2 = x^3 + a*x + b (for GFp)
240  *  or y^2 + x*y = x^3 + a*x^2 + b (for GF2m)
241  *  \param  group  EC_GROUP object
242  *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
243  *                 defining the underlying field (GF2m)
244  *  \param  a      BIGNUM for parameter a of the equation
245  *  \param  b      BIGNUM for parameter b of the equation
246  *  \param  ctx    BN_CTX object (optional)
247  *  \return 1 on success and 0 if an error occurred
248  */
249 int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
250                        BN_CTX *ctx);
251 
252 /** Sets the parameters of an ec curve. Synonym for EC_GROUP_set_curve
253  *  \param  group  EC_GROUP object
254  *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
255  *                 defining the underlying field (GF2m)
256  *  \param  a      BIGNUM with parameter a of the equation
257  *  \param  b      BIGNUM with parameter b of the equation
258  *  \param  ctx    BN_CTX object (optional)
259  *  \return 1 on success and 0 if an error occurred
260  */
261 DEPRECATEDIN_1_2_0(int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p,
262                                               const BIGNUM *a, const BIGNUM *b,
263                                               BN_CTX *ctx))
264 
265 /** Gets the parameters of an ec curve. Synonym for EC_GROUP_get_curve
266  *  \param  group  EC_GROUP object
267  *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
268  *                 defining the underlying field (GF2m)
269  *  \param  a      BIGNUM for parameter a of the equation
270  *  \param  b      BIGNUM for parameter b of the equation
271  *  \param  ctx    BN_CTX object (optional)
272  *  \return 1 on success and 0 if an error occurred
273  */
274 DEPRECATEDIN_1_2_0(int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p,
275                                               BIGNUM *a, BIGNUM *b,
276                                               BN_CTX *ctx))
277 
278 # ifndef OPENSSL_NO_EC2M
279 /** Sets the parameter of an ec curve. Synonym for EC_GROUP_set_curve
280  *  \param  group  EC_GROUP object
281  *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
282  *                 defining the underlying field (GF2m)
283  *  \param  a      BIGNUM with parameter a of the equation
284  *  \param  b      BIGNUM with parameter b of the equation
285  *  \param  ctx    BN_CTX object (optional)
286  *  \return 1 on success and 0 if an error occurred
287  */
288 DEPRECATEDIN_1_2_0(int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p,
289                                                const BIGNUM *a, const BIGNUM *b,
290                                                BN_CTX *ctx))
291 
292 /** Gets the parameters of an ec curve. Synonym for EC_GROUP_get_curve
293  *  \param  group  EC_GROUP object
294  *  \param  p      BIGNUM with the prime number (GFp) or the polynomial
295  *                 defining the underlying field (GF2m)
296  *  \param  a      BIGNUM for parameter a of the equation
297  *  \param  b      BIGNUM for parameter b of the equation
298  *  \param  ctx    BN_CTX object (optional)
299  *  \return 1 on success and 0 if an error occurred
300  */
301 DEPRECATEDIN_1_2_0(int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p,
302                                                BIGNUM *a, BIGNUM *b,
303                                                BN_CTX *ctx))
304 # endif
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 the groups are equal, 1 if not, or -1 on error
330  */
331 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
332 
333 /*
334  * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
335  * choosing an appropriate EC_METHOD
336  */
337 
338 /** Creates a new EC_GROUP object with the specified parameters defined
339  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
340  *  \param  p    BIGNUM with the prime number
341  *  \param  a    BIGNUM with the parameter a of the equation
342  *  \param  b    BIGNUM with the parameter b of the equation
343  *  \param  ctx  BN_CTX object (optional)
344  *  \return newly created EC_GROUP object with the specified parameters
345  */
346 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
347                                  const BIGNUM *b, BN_CTX *ctx);
348 # ifndef OPENSSL_NO_EC2M
349 /** Creates a new EC_GROUP object with the specified parameters defined
350  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
351  *  \param  p    BIGNUM with the polynomial defining the underlying field
352  *  \param  a    BIGNUM with the parameter a of the equation
353  *  \param  b    BIGNUM with the parameter b of the equation
354  *  \param  ctx  BN_CTX object (optional)
355  *  \return newly created EC_GROUP object with the specified parameters
356  */
357 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
358                                   const BIGNUM *b, BN_CTX *ctx);
359 # endif
360 
361 /** Creates a EC_GROUP object with a curve specified by a NID
362  *  \param  nid  NID of the OID of the curve name
363  *  \return newly created EC_GROUP object with specified curve or NULL
364  *          if an error occurred
365  */
366 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
367 
368 /** Creates a new EC_GROUP object from an ECPARAMETERS object
369  *  \param  params  pointer to the ECPARAMETERS object
370  *  \return newly created EC_GROUP object with specified curve or NULL
371  *          if an error occurred
372  */
373 EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params);
374 
375 /** Creates an ECPARAMETERS object for the given EC_GROUP object.
376  *  \param  group   pointer to the EC_GROUP object
377  *  \param  params  pointer to an existing ECPARAMETERS object or NULL
378  *  \return pointer to the new ECPARAMETERS object or NULL
379  *          if an error occurred.
380  */
381 ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
382                                         ECPARAMETERS *params);
383 
384 /** Creates a new EC_GROUP object from an ECPKPARAMETERS object
385  *  \param  params  pointer to an existing ECPKPARAMETERS object, or NULL
386  *  \return newly created EC_GROUP object with specified curve, or NULL
387  *          if an error occurred
388  */
389 EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params);
390 
391 /** Creates an ECPKPARAMETERS object for the given EC_GROUP object.
392  *  \param  group   pointer to the EC_GROUP object
393  *  \param  params  pointer to an existing ECPKPARAMETERS object or NULL
394  *  \return pointer to the new ECPKPARAMETERS object or NULL
395  *          if an error occurred.
396  */
397 ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
398                                             ECPKPARAMETERS *params);
399 
400 /********************************************************************/
401 /*               handling of internal curves                        */
402 /********************************************************************/
403 
404 typedef struct {
405     int nid;
406     const char *comment;
407 } EC_builtin_curve;
408 
409 /*
410  * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
411  * available curves or zero if a error occurred. In case r is not zero,
412  * nitems EC_builtin_curve structures are filled with the data of the first
413  * nitems internal groups
414  */
415 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
416 
417 const char *EC_curve_nid2nist(int nid);
418 int EC_curve_nist2nid(const char *name);
419 
420 /********************************************************************/
421 /*                    EC_POINT functions                            */
422 /********************************************************************/
423 
424 /** Creates a new EC_POINT object for the specified EC_GROUP
425  *  \param  group  EC_GROUP the underlying EC_GROUP object
426  *  \return newly created EC_POINT object or NULL if an error occurred
427  */
428 EC_POINT *EC_POINT_new(const EC_GROUP *group);
429 
430 /** Frees a EC_POINT object
431  *  \param  point  EC_POINT object to be freed
432  */
433 void EC_POINT_free(EC_POINT *point);
434 
435 /** Clears and frees a EC_POINT object
436  *  \param  point  EC_POINT object to be cleared and freed
437  */
438 void EC_POINT_clear_free(EC_POINT *point);
439 
440 /** Copies EC_POINT object
441  *  \param  dst  destination EC_POINT object
442  *  \param  src  source EC_POINT object
443  *  \return 1 on success and 0 if an error occurred
444  */
445 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
446 
447 /** Creates a new EC_POINT object and copies the content of the supplied
448  *  EC_POINT
449  *  \param  src    source EC_POINT object
450  *  \param  group  underlying the EC_GROUP object
451  *  \return newly created EC_POINT object or NULL if an error occurred
452  */
453 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
454 
455 /** Returns the EC_METHOD used in EC_POINT object
456  *  \param  point  EC_POINT object
457  *  \return the EC_METHOD used
458  */
459 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
460 
461 /** Sets a point to infinity (neutral element)
462  *  \param  group  underlying EC_GROUP object
463  *  \param  point  EC_POINT to set to infinity
464  *  \return 1 on success and 0 if an error occurred
465  */
466 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
467 
468 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
469  *  \param  group  underlying EC_GROUP object
470  *  \param  p      EC_POINT object
471  *  \param  x      BIGNUM with the x-coordinate
472  *  \param  y      BIGNUM with the y-coordinate
473  *  \param  z      BIGNUM with the z-coordinate
474  *  \param  ctx    BN_CTX object (optional)
475  *  \return 1 on success and 0 if an error occurred
476  */
477 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
478                                              EC_POINT *p, const BIGNUM *x,
479                                              const BIGNUM *y, const BIGNUM *z,
480                                              BN_CTX *ctx);
481 
482 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
483  *  \param  group  underlying EC_GROUP object
484  *  \param  p      EC_POINT object
485  *  \param  x      BIGNUM for the x-coordinate
486  *  \param  y      BIGNUM for the y-coordinate
487  *  \param  z      BIGNUM for the z-coordinate
488  *  \param  ctx    BN_CTX object (optional)
489  *  \return 1 on success and 0 if an error occurred
490  */
491 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
492                                              const EC_POINT *p, BIGNUM *x,
493                                              BIGNUM *y, BIGNUM *z,
494                                              BN_CTX *ctx);
495 
496 /** Sets the affine coordinates of an EC_POINT
497  *  \param  group  underlying EC_GROUP object
498  *  \param  p      EC_POINT object
499  *  \param  x      BIGNUM with the x-coordinate
500  *  \param  y      BIGNUM with the y-coordinate
501  *  \param  ctx    BN_CTX object (optional)
502  *  \return 1 on success and 0 if an error occurred
503  */
504 int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *p,
505                                     const BIGNUM *x, const BIGNUM *y,
506                                     BN_CTX *ctx);
507 
508 /** Gets the affine coordinates of an EC_POINT.
509  *  \param  group  underlying EC_GROUP object
510  *  \param  p      EC_POINT object
511  *  \param  x      BIGNUM for the x-coordinate
512  *  \param  y      BIGNUM for the y-coordinate
513  *  \param  ctx    BN_CTX object (optional)
514  *  \return 1 on success and 0 if an error occurred
515  */
516 int EC_POINT_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *p,
517                                     BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
518 
519 /** Sets the affine coordinates of an EC_POINT. A synonym of
520  *  EC_POINT_set_affine_coordinates
521  *  \param  group  underlying EC_GROUP object
522  *  \param  p      EC_POINT object
523  *  \param  x      BIGNUM with the x-coordinate
524  *  \param  y      BIGNUM with the y-coordinate
525  *  \param  ctx    BN_CTX object (optional)
526  *  \return 1 on success and 0 if an error occurred
527  */
528 DEPRECATEDIN_1_2_0(int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group,
529                                                            EC_POINT *p,
530                                                            const BIGNUM *x,
531                                                            const BIGNUM *y,
532                                                            BN_CTX *ctx))
533 
534 /** Gets the affine coordinates of an EC_POINT. A synonym of
535  *  EC_POINT_get_affine_coordinates
536  *  \param  group  underlying EC_GROUP object
537  *  \param  p      EC_POINT object
538  *  \param  x      BIGNUM for the x-coordinate
539  *  \param  y      BIGNUM for the y-coordinate
540  *  \param  ctx    BN_CTX object (optional)
541  *  \return 1 on success and 0 if an error occurred
542  */
543 DEPRECATEDIN_1_2_0(int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
544                                                            const EC_POINT *p,
545                                                            BIGNUM *x,
546                                                            BIGNUM *y,
547                                                            BN_CTX *ctx))
548 
549 /** Sets the x9.62 compressed coordinates of a EC_POINT
550  *  \param  group  underlying EC_GROUP object
551  *  \param  p      EC_POINT object
552  *  \param  x      BIGNUM with x-coordinate
553  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
554  *  \param  ctx    BN_CTX object (optional)
555  *  \return 1 on success and 0 if an error occurred
556  */
557 int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *p,
558                                         const BIGNUM *x, int y_bit,
559                                         BN_CTX *ctx);
560 
561 /** Sets the x9.62 compressed coordinates of a EC_POINT. A synonym of
562  *  EC_POINT_set_compressed_coordinates
563  *  \param  group  underlying EC_GROUP object
564  *  \param  p      EC_POINT object
565  *  \param  x      BIGNUM with x-coordinate
566  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
567  *  \param  ctx    BN_CTX object (optional)
568  *  \return 1 on success and 0 if an error occurred
569  */
570 DEPRECATEDIN_1_2_0(int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
571                                                                EC_POINT *p,
572                                                                const BIGNUM *x,
573                                                                int y_bit,
574                                                                BN_CTX *ctx))
575 # ifndef OPENSSL_NO_EC2M
576 /** Sets the affine coordinates of an EC_POINT. A synonym of
577  *  EC_POINT_set_affine_coordinates
578  *  \param  group  underlying EC_GROUP object
579  *  \param  p      EC_POINT object
580  *  \param  x      BIGNUM with the x-coordinate
581  *  \param  y      BIGNUM with the y-coordinate
582  *  \param  ctx    BN_CTX object (optional)
583  *  \return 1 on success and 0 if an error occurred
584  */
585 DEPRECATEDIN_1_2_0(int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group,
586                                                             EC_POINT *p,
587                                                             const BIGNUM *x,
588                                                             const BIGNUM *y,
589                                                             BN_CTX *ctx))
590 
591 /** Gets the affine coordinates of an EC_POINT. A synonym of
592  *  EC_POINT_get_affine_coordinates
593  *  \param  group  underlying EC_GROUP object
594  *  \param  p      EC_POINT object
595  *  \param  x      BIGNUM for the x-coordinate
596  *  \param  y      BIGNUM for the y-coordinate
597  *  \param  ctx    BN_CTX object (optional)
598  *  \return 1 on success and 0 if an error occurred
599  */
600 DEPRECATEDIN_1_2_0(int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
601                                                             const EC_POINT *p,
602                                                             BIGNUM *x,
603                                                             BIGNUM *y,
604                                                             BN_CTX *ctx))
605 
606 /** Sets the x9.62 compressed coordinates of a EC_POINT. A synonym of
607  *  EC_POINT_set_compressed_coordinates
608  *  \param  group  underlying EC_GROUP object
609  *  \param  p      EC_POINT object
610  *  \param  x      BIGNUM with x-coordinate
611  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
612  *  \param  ctx    BN_CTX object (optional)
613  *  \return 1 on success and 0 if an error occurred
614  */
615 DEPRECATEDIN_1_2_0(int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
616                                                                 EC_POINT *p,
617                                                                 const BIGNUM *x,
618                                                                 int y_bit,
619                                                                 BN_CTX *ctx))
620 # endif
621 /** Encodes a EC_POINT object to a octet string
622  *  \param  group  underlying EC_GROUP object
623  *  \param  p      EC_POINT object
624  *  \param  form   point conversion form
625  *  \param  buf    memory buffer for the result. If NULL the function returns
626  *                 required buffer size.
627  *  \param  len    length of the memory buffer
628  *  \param  ctx    BN_CTX object (optional)
629  *  \return the length of the encoded octet string or 0 if an error occurred
630  */
631 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
632                           point_conversion_form_t form,
633                           unsigned char *buf, size_t len, BN_CTX *ctx);
634 
635 /** Decodes a EC_POINT from a octet string
636  *  \param  group  underlying EC_GROUP object
637  *  \param  p      EC_POINT object
638  *  \param  buf    memory buffer with the encoded ec point
639  *  \param  len    length of the encoded ec point
640  *  \param  ctx    BN_CTX object (optional)
641  *  \return 1 on success and 0 if an error occurred
642  */
643 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
644                        const unsigned char *buf, size_t len, BN_CTX *ctx);
645 
646 /** Encodes an EC_POINT object to an allocated octet string
647  *  \param  group  underlying EC_GROUP object
648  *  \param  point  EC_POINT object
649  *  \param  form   point conversion form
650  *  \param  pbuf   returns pointer to allocated buffer
651  *  \param  ctx    BN_CTX object (optional)
652  *  \return the length of the encoded octet string or 0 if an error occurred
653  */
654 size_t EC_POINT_point2buf(const EC_GROUP *group, const EC_POINT *point,
655                           point_conversion_form_t form,
656                           unsigned char **pbuf, BN_CTX *ctx);
657 
658 /* other interfaces to point2oct/oct2point: */
659 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
660                           point_conversion_form_t form, BIGNUM *, BN_CTX *);
661 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
662                             EC_POINT *, BN_CTX *);
663 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
664                          point_conversion_form_t form, BN_CTX *);
665 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
666                              EC_POINT *, BN_CTX *);
667 
668 /********************************************************************/
669 /*         functions for doing EC_POINT arithmetic                  */
670 /********************************************************************/
671 
672 /** Computes the sum of two EC_POINT
673  *  \param  group  underlying EC_GROUP object
674  *  \param  r      EC_POINT object for the result (r = a + b)
675  *  \param  a      EC_POINT object with the first summand
676  *  \param  b      EC_POINT object with the second summand
677  *  \param  ctx    BN_CTX object (optional)
678  *  \return 1 on success and 0 if an error occurred
679  */
680 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
681                  const EC_POINT *b, BN_CTX *ctx);
682 
683 /** Computes the double of a EC_POINT
684  *  \param  group  underlying EC_GROUP object
685  *  \param  r      EC_POINT object for the result (r = 2 * a)
686  *  \param  a      EC_POINT object
687  *  \param  ctx    BN_CTX object (optional)
688  *  \return 1 on success and 0 if an error occurred
689  */
690 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
691                  BN_CTX *ctx);
692 
693 /** Computes the inverse of a EC_POINT
694  *  \param  group  underlying EC_GROUP object
695  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
696  *  \param  ctx    BN_CTX object (optional)
697  *  \return 1 on success and 0 if an error occurred
698  */
699 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
700 
701 /** Checks whether the point is the neutral element of the group
702  *  \param  group  the underlying EC_GROUP object
703  *  \param  p      EC_POINT object
704  *  \return 1 if the point is the neutral element and 0 otherwise
705  */
706 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
707 
708 /** Checks whether the point is on the curve
709  *  \param  group  underlying EC_GROUP object
710  *  \param  point  EC_POINT object to check
711  *  \param  ctx    BN_CTX object (optional)
712  *  \return 1 if the point is on the curve, 0 if not, or -1 on error
713  */
714 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
715                          BN_CTX *ctx);
716 
717 /** Compares two EC_POINTs
718  *  \param  group  underlying EC_GROUP object
719  *  \param  a      first EC_POINT object
720  *  \param  b      second EC_POINT object
721  *  \param  ctx    BN_CTX object (optional)
722  *  \return 1 if the points are not equal, 0 if they are, or -1 on error
723  */
724 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
725                  BN_CTX *ctx);
726 
727 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
728 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
729                           EC_POINT *points[], BN_CTX *ctx);
730 
731 /** Computes r = generator * n + sum_{i=0}^{num-1} p[i] * m[i]
732  *  \param  group  underlying EC_GROUP object
733  *  \param  r      EC_POINT object for the result
734  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
735  *  \param  num    number further summands
736  *  \param  p      array of size num of EC_POINT objects
737  *  \param  m      array of size num of BIGNUM objects
738  *  \param  ctx    BN_CTX object (optional)
739  *  \return 1 on success and 0 if an error occurred
740  */
741 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
742                   size_t num, const EC_POINT *p[], const BIGNUM *m[],
743                   BN_CTX *ctx);
744 
745 /** Computes r = generator * n + q * m
746  *  \param  group  underlying EC_GROUP object
747  *  \param  r      EC_POINT object for the result
748  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
749  *  \param  q      EC_POINT object with the first factor of the second summand
750  *  \param  m      BIGNUM with the second factor of the second summand
751  *  \param  ctx    BN_CTX object (optional)
752  *  \return 1 on success and 0 if an error occurred
753  */
754 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
755                  const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
756 
757 /** Stores multiples of generator for faster point multiplication
758  *  \param  group  EC_GROUP object
759  *  \param  ctx    BN_CTX object (optional)
760  *  \return 1 on success and 0 if an error occurred
761  */
762 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
763 
764 /** Reports whether a precomputation has been done
765  *  \param  group  EC_GROUP object
766  *  \return 1 if a pre-computation has been done and 0 otherwise
767  */
768 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
769 
770 /********************************************************************/
771 /*                       ASN1 stuff                                 */
772 /********************************************************************/
773 
774 DECLARE_ASN1_ITEM(ECPKPARAMETERS)
775 DECLARE_ASN1_ALLOC_FUNCTIONS(ECPKPARAMETERS)
776 DECLARE_ASN1_ITEM(ECPARAMETERS)
777 DECLARE_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
778 
779 /*
780  * EC_GROUP_get_basis_type() returns the NID of the basis type used to
781  * represent the field elements
782  */
783 int EC_GROUP_get_basis_type(const EC_GROUP *);
784 # ifndef OPENSSL_NO_EC2M
785 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
786 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
787                                    unsigned int *k2, unsigned int *k3);
788 # endif
789 
790 # define OPENSSL_EC_EXPLICIT_CURVE  0x000
791 # define OPENSSL_EC_NAMED_CURVE     0x001
792 
793 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
794 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
795 
796 # define d2i_ECPKParameters_bio(bp,x) \
797     ASN1_d2i_bio_of(EC_GROUP, NULL, d2i_ECPKParameters, bp, x)
798 # define i2d_ECPKParameters_bio(bp,x) \
799     ASN1_i2d_bio_of_const(EC_GROUP, i2d_ECPKParameters, bp, x)
800 # define d2i_ECPKParameters_fp(fp,x) \
801     (EC_GROUP *)ASN1_d2i_fp(NULL, (d2i_of_void *)d2i_ECPKParameters, (fp), \
802                             (void **)(x))
803 # define i2d_ECPKParameters_fp(fp,x) \
804     ASN1_i2d_fp((i2d_of_void *)i2d_ECPKParameters, (fp), (void *)(x))
805 
806 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
807 # ifndef OPENSSL_NO_STDIO
808 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
809 # endif
810 
811 /********************************************************************/
812 /*                      EC_KEY functions                            */
813 /********************************************************************/
814 
815 /* some values for the encoding_flag */
816 # define EC_PKEY_NO_PARAMETERS   0x001
817 # define EC_PKEY_NO_PUBKEY       0x002
818 
819 /* some values for the flags field */
820 # define EC_FLAG_NON_FIPS_ALLOW  0x1
821 # define EC_FLAG_FIPS_CHECKED    0x2
822 # define EC_FLAG_COFACTOR_ECDH   0x1000
823 
824 /** Creates a new EC_KEY object.
825  *  \return EC_KEY object or NULL if an error occurred.
826  */
827 EC_KEY *EC_KEY_new(void);
828 
829 int EC_KEY_get_flags(const EC_KEY *key);
830 
831 void EC_KEY_set_flags(EC_KEY *key, int flags);
832 
833 void EC_KEY_clear_flags(EC_KEY *key, int flags);
834 
835 int EC_KEY_decoded_from_explicit_params(const EC_KEY *key);
836 
837 /** Creates a new EC_KEY object using a named curve as underlying
838  *  EC_GROUP object.
839  *  \param  nid  NID of the named curve.
840  *  \return EC_KEY object or NULL if an error occurred.
841  */
842 EC_KEY *EC_KEY_new_by_curve_name(int nid);
843 
844 /** Frees a EC_KEY object.
845  *  \param  key  EC_KEY object to be freed.
846  */
847 void EC_KEY_free(EC_KEY *key);
848 
849 /** Copies a EC_KEY object.
850  *  \param  dst  destination EC_KEY object
851  *  \param  src  src EC_KEY object
852  *  \return dst or NULL if an error occurred.
853  */
854 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
855 
856 /** Creates a new EC_KEY object and copies the content from src to it.
857  *  \param  src  the source EC_KEY object
858  *  \return newly created EC_KEY object or NULL if an error occurred.
859  */
860 EC_KEY *EC_KEY_dup(const EC_KEY *src);
861 
862 /** Increases the internal reference count of a EC_KEY object.
863  *  \param  key  EC_KEY object
864  *  \return 1 on success and 0 if an error occurred.
865  */
866 int EC_KEY_up_ref(EC_KEY *key);
867 
868 /** Returns the ENGINE object of a EC_KEY object
869  *  \param  eckey  EC_KEY object
870  *  \return the ENGINE object (possibly NULL).
871  */
872 ENGINE *EC_KEY_get0_engine(const EC_KEY *eckey);
873 
874 /** Returns the EC_GROUP object of a EC_KEY object
875  *  \param  key  EC_KEY object
876  *  \return the EC_GROUP object (possibly NULL).
877  */
878 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
879 
880 /** Sets the EC_GROUP of a EC_KEY object.
881  *  \param  key    EC_KEY object
882  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
883  *                 object will use an own copy of the EC_GROUP).
884  *  \return 1 on success and 0 if an error occurred.
885  */
886 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
887 
888 /** Returns the private key of a EC_KEY object.
889  *  \param  key  EC_KEY object
890  *  \return a BIGNUM with the private key (possibly NULL).
891  */
892 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
893 
894 /** Sets the private key of a EC_KEY object.
895  *  \param  key  EC_KEY object
896  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
897  *               will use an own copy of the BIGNUM).
898  *  \return 1 on success and 0 if an error occurred.
899  */
900 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
901 
902 /** Returns the public key of a EC_KEY object.
903  *  \param  key  the EC_KEY object
904  *  \return a EC_POINT object with the public key (possibly NULL)
905  */
906 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
907 
908 /** Sets the public key of a EC_KEY object.
909  *  \param  key  EC_KEY object
910  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
911  *               will use an own copy of the EC_POINT object).
912  *  \return 1 on success and 0 if an error occurred.
913  */
914 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
915 
916 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
917 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
918 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
919 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
920 
921 #define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
922     CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
923 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
924 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
925 
926 /* wrapper functions for the underlying EC_GROUP object */
927 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
928 
929 /** Creates a table of pre-computed multiples of the generator to
930  *  accelerate further EC_KEY operations.
931  *  \param  key  EC_KEY object
932  *  \param  ctx  BN_CTX object (optional)
933  *  \return 1 on success and 0 if an error occurred.
934  */
935 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
936 
937 /** Creates a new ec private (and optional a new public) key.
938  *  \param  key  EC_KEY object
939  *  \return 1 on success and 0 if an error occurred.
940  */
941 int EC_KEY_generate_key(EC_KEY *key);
942 
943 /** Verifies that a private and/or public key is valid.
944  *  \param  key  the EC_KEY object
945  *  \return 1 on success and 0 otherwise.
946  */
947 int EC_KEY_check_key(const EC_KEY *key);
948 
949 /** Indicates if an EC_KEY can be used for signing.
950  *  \param  eckey  the EC_KEY object
951  *  \return 1 if can can sign and 0 otherwise.
952  */
953 int EC_KEY_can_sign(const EC_KEY *eckey);
954 
955 /** Sets a public key from affine coordinates performing
956  *  necessary NIST PKV tests.
957  *  \param  key  the EC_KEY object
958  *  \param  x    public key x coordinate
959  *  \param  y    public key y coordinate
960  *  \return 1 on success and 0 otherwise.
961  */
962 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
963                                              BIGNUM *y);
964 
965 /** Encodes an EC_KEY public key to an allocated octet string
966  *  \param  key    key to encode
967  *  \param  form   point conversion form
968  *  \param  pbuf   returns pointer to allocated buffer
969  *  \param  ctx    BN_CTX object (optional)
970  *  \return the length of the encoded octet string or 0 if an error occurred
971  */
972 size_t EC_KEY_key2buf(const EC_KEY *key, point_conversion_form_t form,
973                       unsigned char **pbuf, BN_CTX *ctx);
974 
975 /** Decodes a EC_KEY public key from a octet string
976  *  \param  key    key to decode
977  *  \param  buf    memory buffer with the encoded ec point
978  *  \param  len    length of the encoded ec point
979  *  \param  ctx    BN_CTX object (optional)
980  *  \return 1 on success and 0 if an error occurred
981  */
982 
983 int EC_KEY_oct2key(EC_KEY *key, const unsigned char *buf, size_t len,
984                    BN_CTX *ctx);
985 
986 /** Decodes an EC_KEY private key from an octet string
987  *  \param  key    key to decode
988  *  \param  buf    memory buffer with the encoded private key
989  *  \param  len    length of the encoded key
990  *  \return 1 on success and 0 if an error occurred
991  */
992 
993 int EC_KEY_oct2priv(EC_KEY *key, const unsigned char *buf, size_t len);
994 
995 /** Encodes a EC_KEY private key to an octet string
996  *  \param  key    key to encode
997  *  \param  buf    memory buffer for the result. If NULL the function returns
998  *                 required buffer size.
999  *  \param  len    length of the memory buffer
1000  *  \return the length of the encoded octet string or 0 if an error occurred
1001  */
1002 
1003 size_t EC_KEY_priv2oct(const EC_KEY *key, unsigned char *buf, size_t len);
1004 
1005 /** Encodes an EC_KEY private key to an allocated octet string
1006  *  \param  eckey  key to encode
1007  *  \param  pbuf   returns pointer to allocated buffer
1008  *  \return the length of the encoded octet string or 0 if an error occurred
1009  */
1010 size_t EC_KEY_priv2buf(const EC_KEY *eckey, unsigned char **pbuf);
1011 
1012 /********************************************************************/
1013 /*        de- and encoding functions for SEC1 ECPrivateKey          */
1014 /********************************************************************/
1015 
1016 /** Decodes a private key from a memory buffer.
1017  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
1018  *  \param  in   pointer to memory with the DER encoded private key
1019  *  \param  len  length of the DER encoded private key
1020  *  \return the decoded private key or NULL if an error occurred.
1021  */
1022 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
1023 
1024 /** Encodes a private key object and stores the result in a buffer.
1025  *  \param  key  the EC_KEY object to encode
1026  *  \param  out  the buffer for the result (if NULL the function returns number
1027  *               of bytes needed).
1028  *  \return 1 on success and 0 if an error occurred.
1029  */
1030 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
1031 
1032 /********************************************************************/
1033 /*        de- and encoding functions for EC parameters              */
1034 /********************************************************************/
1035 
1036 /** Decodes ec parameter from a memory buffer.
1037  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
1038  *  \param  in   pointer to memory with the DER encoded ec parameters
1039  *  \param  len  length of the DER encoded ec parameters
1040  *  \return a EC_KEY object with the decoded parameters or NULL if an error
1041  *          occurred.
1042  */
1043 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
1044 
1045 /** Encodes ec parameter and stores the result in a buffer.
1046  *  \param  key  the EC_KEY object with ec parameters to encode
1047  *  \param  out  the buffer for the result (if NULL the function returns number
1048  *               of bytes needed).
1049  *  \return 1 on success and 0 if an error occurred.
1050  */
1051 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
1052 
1053 /********************************************************************/
1054 /*         de- and encoding functions for EC public key             */
1055 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
1056 /********************************************************************/
1057 
1058 /** Decodes a ec public key from a octet string.
1059  *  \param  key  a pointer to a EC_KEY object which should be used
1060  *  \param  in   memory buffer with the encoded public key
1061  *  \param  len  length of the encoded public key
1062  *  \return EC_KEY object with decoded public key or NULL if an error
1063  *          occurred.
1064  */
1065 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
1066 
1067 /** Encodes a ec public key in an octet string.
1068  *  \param  key  the EC_KEY object with the public key
1069  *  \param  out  the buffer for the result (if NULL the function returns number
1070  *               of bytes needed).
1071  *  \return 1 on success and 0 if an error occurred
1072  */
1073 int i2o_ECPublicKey(const EC_KEY *key, unsigned char **out);
1074 
1075 /** Prints out the ec parameters on human readable form.
1076  *  \param  bp   BIO object to which the information is printed
1077  *  \param  key  EC_KEY object
1078  *  \return 1 on success and 0 if an error occurred
1079  */
1080 int ECParameters_print(BIO *bp, const EC_KEY *key);
1081 
1082 /** Prints out the contents of a EC_KEY object
1083  *  \param  bp   BIO object to which the information is printed
1084  *  \param  key  EC_KEY object
1085  *  \param  off  line offset
1086  *  \return 1 on success and 0 if an error occurred
1087  */
1088 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
1089 
1090 # ifndef OPENSSL_NO_STDIO
1091 /** Prints out the ec parameters on human readable form.
1092  *  \param  fp   file descriptor to which the information is printed
1093  *  \param  key  EC_KEY object
1094  *  \return 1 on success and 0 if an error occurred
1095  */
1096 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
1097 
1098 /** Prints out the contents of a EC_KEY object
1099  *  \param  fp   file descriptor to which the information is printed
1100  *  \param  key  EC_KEY object
1101  *  \param  off  line offset
1102  *  \return 1 on success and 0 if an error occurred
1103  */
1104 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
1105 
1106 # endif
1107 
1108 const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
1109 const EC_KEY_METHOD *EC_KEY_get_default_method(void);
1110 void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
1111 const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
1112 int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
1113 EC_KEY *EC_KEY_new_method(ENGINE *engine);
1114 
1115 /** The old name for ecdh_KDF_X9_63
1116  *  The ECDH KDF specification has been mistakingly attributed to ANSI X9.62,
1117  *  it is actually specified in ANSI X9.63.
1118  *  This identifier is retained for backwards compatibility
1119  */
1120 int ECDH_KDF_X9_62(unsigned char *out, size_t outlen,
1121                    const unsigned char *Z, size_t Zlen,
1122                    const unsigned char *sinfo, size_t sinfolen,
1123                    const EVP_MD *md);
1124 
1125 int ECDH_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
1126                      const EC_KEY *ecdh,
1127                      void *(*KDF) (const void *in, size_t inlen,
1128                                    void *out, size_t *outlen));
1129 
1130 typedef struct ECDSA_SIG_st ECDSA_SIG;
1131 
1132 /** Allocates and initialize a ECDSA_SIG structure
1133  *  \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1134  */
1135 ECDSA_SIG *ECDSA_SIG_new(void);
1136 
1137 /** frees a ECDSA_SIG structure
1138  *  \param  sig  pointer to the ECDSA_SIG structure
1139  */
1140 void ECDSA_SIG_free(ECDSA_SIG *sig);
1141 
1142 /** DER encode content of ECDSA_SIG object (note: this function modifies *pp
1143  *  (*pp += length of the DER encoded signature)).
1144  *  \param  sig  pointer to the ECDSA_SIG object
1145  *  \param  pp   pointer to a unsigned char pointer for the output or NULL
1146  *  \return the length of the DER encoded ECDSA_SIG object or a negative value
1147  *          on error
1148  */
1149 int i2d_ECDSA_SIG(const ECDSA_SIG *sig, unsigned char **pp);
1150 
1151 /** Decodes a DER encoded ECDSA signature (note: this function changes *pp
1152  *  (*pp += len)).
1153  *  \param  sig  pointer to ECDSA_SIG pointer (may be NULL)
1154  *  \param  pp   memory buffer with the DER encoded signature
1155  *  \param  len  length of the buffer
1156  *  \return pointer to the decoded ECDSA_SIG structure (or NULL)
1157  */
1158 ECDSA_SIG *d2i_ECDSA_SIG(ECDSA_SIG **sig, const unsigned char **pp, long len);
1159 
1160 /** Accessor for r and s fields of ECDSA_SIG
1161  *  \param  sig  pointer to ECDSA_SIG structure
1162  *  \param  pr   pointer to BIGNUM pointer for r (may be NULL)
1163  *  \param  ps   pointer to BIGNUM pointer for s (may be NULL)
1164  */
1165 void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps);
1166 
1167 /** Accessor for r field of ECDSA_SIG
1168  *  \param  sig  pointer to ECDSA_SIG structure
1169  */
1170 const BIGNUM *ECDSA_SIG_get0_r(const ECDSA_SIG *sig);
1171 
1172 /** Accessor for s field of ECDSA_SIG
1173  *  \param  sig  pointer to ECDSA_SIG structure
1174  */
1175 const BIGNUM *ECDSA_SIG_get0_s(const ECDSA_SIG *sig);
1176 
1177 /** Setter for r and s fields of ECDSA_SIG
1178  *  \param  sig  pointer to ECDSA_SIG structure
1179  *  \param  r    pointer to BIGNUM for r (may be NULL)
1180  *  \param  s    pointer to BIGNUM for s (may be NULL)
1181  */
1182 int ECDSA_SIG_set0(ECDSA_SIG *sig, BIGNUM *r, BIGNUM *s);
1183 
1184 /** Computes the ECDSA signature of the given hash value using
1185  *  the supplied private key and returns the created signature.
1186  *  \param  dgst      pointer to the hash value
1187  *  \param  dgst_len  length of the hash value
1188  *  \param  eckey     EC_KEY object containing a private EC key
1189  *  \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1190  */
1191 ECDSA_SIG *ECDSA_do_sign(const unsigned char *dgst, int dgst_len,
1192                          EC_KEY *eckey);
1193 
1194 /** Computes ECDSA signature of a given hash value using the supplied
1195  *  private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1196  *  \param  dgst     pointer to the hash value to sign
1197  *  \param  dgstlen  length of the hash value
1198  *  \param  kinv     BIGNUM with a pre-computed inverse k (optional)
1199  *  \param  rp       BIGNUM with a pre-computed rp value (optional),
1200  *                   see ECDSA_sign_setup
1201  *  \param  eckey    EC_KEY object containing a private EC key
1202  *  \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1203  */
1204 ECDSA_SIG *ECDSA_do_sign_ex(const unsigned char *dgst, int dgstlen,
1205                             const BIGNUM *kinv, const BIGNUM *rp,
1206                             EC_KEY *eckey);
1207 
1208 /** Verifies that the supplied signature is a valid ECDSA
1209  *  signature of the supplied hash value using the supplied public key.
1210  *  \param  dgst      pointer to the hash value
1211  *  \param  dgst_len  length of the hash value
1212  *  \param  sig       ECDSA_SIG structure
1213  *  \param  eckey     EC_KEY object containing a public EC key
1214  *  \return 1 if the signature is valid, 0 if the signature is invalid
1215  *          and -1 on error
1216  */
1217 int ECDSA_do_verify(const unsigned char *dgst, int dgst_len,
1218                     const ECDSA_SIG *sig, EC_KEY *eckey);
1219 
1220 /** Precompute parts of the signing operation
1221  *  \param  eckey  EC_KEY object containing a private EC key
1222  *  \param  ctx    BN_CTX object (optional)
1223  *  \param  kinv   BIGNUM pointer for the inverse of k
1224  *  \param  rp     BIGNUM pointer for x coordinate of k * generator
1225  *  \return 1 on success and 0 otherwise
1226  */
1227 int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv, BIGNUM **rp);
1228 
1229 /** Computes ECDSA signature of a given hash value using the supplied
1230  *  private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1231  *  \param  type     this parameter is ignored
1232  *  \param  dgst     pointer to the hash value to sign
1233  *  \param  dgstlen  length of the hash value
1234  *  \param  sig      memory for the DER encoded created signature
1235  *  \param  siglen   pointer to the length of the returned signature
1236  *  \param  eckey    EC_KEY object containing a private EC key
1237  *  \return 1 on success and 0 otherwise
1238  */
1239 int ECDSA_sign(int type, const unsigned char *dgst, int dgstlen,
1240                unsigned char *sig, unsigned int *siglen, EC_KEY *eckey);
1241 
1242 /** Computes ECDSA signature of a given hash value using the supplied
1243  *  private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1244  *  \param  type     this parameter is ignored
1245  *  \param  dgst     pointer to the hash value to sign
1246  *  \param  dgstlen  length of the hash value
1247  *  \param  sig      buffer to hold the DER encoded signature
1248  *  \param  siglen   pointer to the length of the returned signature
1249  *  \param  kinv     BIGNUM with a pre-computed inverse k (optional)
1250  *  \param  rp       BIGNUM with a pre-computed rp value (optional),
1251  *                   see ECDSA_sign_setup
1252  *  \param  eckey    EC_KEY object containing a private EC key
1253  *  \return 1 on success and 0 otherwise
1254  */
1255 int ECDSA_sign_ex(int type, const unsigned char *dgst, int dgstlen,
1256                   unsigned char *sig, unsigned int *siglen,
1257                   const BIGNUM *kinv, const BIGNUM *rp, EC_KEY *eckey);
1258 
1259 /** Verifies that the given signature is valid ECDSA signature
1260  *  of the supplied hash value using the specified public key.
1261  *  \param  type     this parameter is ignored
1262  *  \param  dgst     pointer to the hash value
1263  *  \param  dgstlen  length of the hash value
1264  *  \param  sig      pointer to the DER encoded signature
1265  *  \param  siglen   length of the DER encoded signature
1266  *  \param  eckey    EC_KEY object containing a public EC key
1267  *  \return 1 if the signature is valid, 0 if the signature is invalid
1268  *          and -1 on error
1269  */
1270 int ECDSA_verify(int type, const unsigned char *dgst, int dgstlen,
1271                  const unsigned char *sig, int siglen, EC_KEY *eckey);
1272 
1273 /** Returns the maximum length of the DER encoded signature
1274  *  \param  eckey  EC_KEY object
1275  *  \return numbers of bytes required for the DER encoded signature
1276  */
1277 int ECDSA_size(const EC_KEY *eckey);
1278 
1279 /********************************************************************/
1280 /*  EC_KEY_METHOD constructors, destructors, writers and accessors  */
1281 /********************************************************************/
1282 
1283 EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
1284 void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
1285 void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
1286                             int (*init)(EC_KEY *key),
1287                             void (*finish)(EC_KEY *key),
1288                             int (*copy)(EC_KEY *dest, const EC_KEY *src),
1289                             int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
1290                             int (*set_private)(EC_KEY *key,
1291                                                const BIGNUM *priv_key),
1292                             int (*set_public)(EC_KEY *key,
1293                                               const EC_POINT *pub_key));
1294 
1295 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
1296                               int (*keygen)(EC_KEY *key));
1297 
1298 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
1299                                    int (*ckey)(unsigned char **psec,
1300                                                size_t *pseclen,
1301                                                const EC_POINT *pub_key,
1302                                                const EC_KEY *ecdh));
1303 
1304 void EC_KEY_METHOD_set_sign(EC_KEY_METHOD *meth,
1305                             int (*sign)(int type, const unsigned char *dgst,
1306                                         int dlen, unsigned char *sig,
1307                                         unsigned int *siglen,
1308                                         const BIGNUM *kinv, const BIGNUM *r,
1309                                         EC_KEY *eckey),
1310                             int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1311                                               BIGNUM **kinvp, BIGNUM **rp),
1312                             ECDSA_SIG *(*sign_sig)(const unsigned char *dgst,
1313                                                    int dgst_len,
1314                                                    const BIGNUM *in_kinv,
1315                                                    const BIGNUM *in_r,
1316                                                    EC_KEY *eckey));
1317 
1318 void EC_KEY_METHOD_set_verify(EC_KEY_METHOD *meth,
1319                               int (*verify)(int type, const unsigned
1320                                             char *dgst, int dgst_len,
1321                                             const unsigned char *sigbuf,
1322                                             int sig_len, EC_KEY *eckey),
1323                               int (*verify_sig)(const unsigned char *dgst,
1324                                                 int dgst_len,
1325                                                 const ECDSA_SIG *sig,
1326                                                 EC_KEY *eckey));
1327 
1328 void EC_KEY_METHOD_get_init(const EC_KEY_METHOD *meth,
1329                             int (**pinit)(EC_KEY *key),
1330                             void (**pfinish)(EC_KEY *key),
1331                             int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
1332                             int (**pset_group)(EC_KEY *key,
1333                                                const EC_GROUP *grp),
1334                             int (**pset_private)(EC_KEY *key,
1335                                                  const BIGNUM *priv_key),
1336                             int (**pset_public)(EC_KEY *key,
1337                                                 const EC_POINT *pub_key));
1338 
1339 void EC_KEY_METHOD_get_keygen(const EC_KEY_METHOD *meth,
1340                               int (**pkeygen)(EC_KEY *key));
1341 
1342 void EC_KEY_METHOD_get_compute_key(const EC_KEY_METHOD *meth,
1343                                    int (**pck)(unsigned char **psec,
1344                                                size_t *pseclen,
1345                                                const EC_POINT *pub_key,
1346                                                const EC_KEY *ecdh));
1347 
1348 void EC_KEY_METHOD_get_sign(const EC_KEY_METHOD *meth,
1349                             int (**psign)(int type, const unsigned char *dgst,
1350                                           int dlen, unsigned char *sig,
1351                                           unsigned int *siglen,
1352                                           const BIGNUM *kinv, const BIGNUM *r,
1353                                           EC_KEY *eckey),
1354                             int (**psign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1355                                                 BIGNUM **kinvp, BIGNUM **rp),
1356                             ECDSA_SIG *(**psign_sig)(const unsigned char *dgst,
1357                                                      int dgst_len,
1358                                                      const BIGNUM *in_kinv,
1359                                                      const BIGNUM *in_r,
1360                                                      EC_KEY *eckey));
1361 
1362 void EC_KEY_METHOD_get_verify(const EC_KEY_METHOD *meth,
1363                               int (**pverify)(int type, const unsigned
1364                                               char *dgst, int dgst_len,
1365                                               const unsigned char *sigbuf,
1366                                               int sig_len, EC_KEY *eckey),
1367                               int (**pverify_sig)(const unsigned char *dgst,
1368                                                   int dgst_len,
1369                                                   const ECDSA_SIG *sig,
1370                                                   EC_KEY *eckey));
1371 
1372 # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
1373 
1374 # ifndef __cplusplus
1375 #  if defined(__SUNPRO_C)
1376 #   if __SUNPRO_C >= 0x520
1377 #    pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
1378 #   endif
1379 #  endif
1380 # endif
1381 
1382 # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
1383         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1384                                 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1385                                 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1386 
1387 # define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1388         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1389                                 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1390                                 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1391 
1392 # define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1393         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1394                                 EVP_PKEY_OP_DERIVE, \
1395                                 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1396 
1397 # define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1398         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1399                                 EVP_PKEY_OP_DERIVE, \
1400                                 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1401 
1402 # define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1403         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1404                                 EVP_PKEY_OP_DERIVE, \
1405                                 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1406 
1407 # define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1408         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1409                                 EVP_PKEY_OP_DERIVE, \
1410                                 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1411 
1412 # define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1413         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1414                                 EVP_PKEY_OP_DERIVE, \
1415                                 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)(md))
1416 
1417 # define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1418         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1419                                 EVP_PKEY_OP_DERIVE, \
1420                                 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)(pmd))
1421 
1422 # define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1423         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1424                                 EVP_PKEY_OP_DERIVE, \
1425                                 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1426 
1427 # define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1428         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1429                                 EVP_PKEY_OP_DERIVE, \
1430                                 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, \
1431                                 (void *)(plen))
1432 
1433 # define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1434         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1435                                 EVP_PKEY_OP_DERIVE, \
1436                                 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)(p))
1437 
1438 # define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1439         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1440                                 EVP_PKEY_OP_DERIVE, \
1441                                 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)(p))
1442 
1443 /* SM2 will skip the operation check so no need to pass operation here */
1444 # define EVP_PKEY_CTX_set1_id(ctx, id, id_len) \
1445         EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1446                                 EVP_PKEY_CTRL_SET1_ID, (int)id_len, (void*)(id))
1447 
1448 # define EVP_PKEY_CTX_get1_id(ctx, id) \
1449         EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1450                                 EVP_PKEY_CTRL_GET1_ID, 0, (void*)(id))
1451 
1452 # define EVP_PKEY_CTX_get1_id_len(ctx, id_len) \
1453         EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1454                                 EVP_PKEY_CTRL_GET1_ID_LEN, 0, (void*)(id_len))
1455 
1456 # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID             (EVP_PKEY_ALG_CTRL + 1)
1457 # define EVP_PKEY_CTRL_EC_PARAM_ENC                      (EVP_PKEY_ALG_CTRL + 2)
1458 # define EVP_PKEY_CTRL_EC_ECDH_COFACTOR                  (EVP_PKEY_ALG_CTRL + 3)
1459 # define EVP_PKEY_CTRL_EC_KDF_TYPE                       (EVP_PKEY_ALG_CTRL + 4)
1460 # define EVP_PKEY_CTRL_EC_KDF_MD                         (EVP_PKEY_ALG_CTRL + 5)
1461 # define EVP_PKEY_CTRL_GET_EC_KDF_MD                     (EVP_PKEY_ALG_CTRL + 6)
1462 # define EVP_PKEY_CTRL_EC_KDF_OUTLEN                     (EVP_PKEY_ALG_CTRL + 7)
1463 # define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN                 (EVP_PKEY_ALG_CTRL + 8)
1464 # define EVP_PKEY_CTRL_EC_KDF_UKM                        (EVP_PKEY_ALG_CTRL + 9)
1465 # define EVP_PKEY_CTRL_GET_EC_KDF_UKM                    (EVP_PKEY_ALG_CTRL + 10)
1466 # define EVP_PKEY_CTRL_SET1_ID                           (EVP_PKEY_ALG_CTRL + 11)
1467 # define EVP_PKEY_CTRL_GET1_ID                           (EVP_PKEY_ALG_CTRL + 12)
1468 # define EVP_PKEY_CTRL_GET1_ID_LEN                       (EVP_PKEY_ALG_CTRL + 13)
1469 /* KDF types */
1470 # define EVP_PKEY_ECDH_KDF_NONE                          1
1471 # define EVP_PKEY_ECDH_KDF_X9_63                         2
1472 /** The old name for EVP_PKEY_ECDH_KDF_X9_63
1473  *  The ECDH KDF specification has been mistakingly attributed to ANSI X9.62,
1474  *  it is actually specified in ANSI X9.63.
1475  *  This identifier is retained for backwards compatibility
1476  */
1477 # define EVP_PKEY_ECDH_KDF_X9_62   EVP_PKEY_ECDH_KDF_X9_63
1478 
1479 
1480 #  ifdef  __cplusplus
1481 }
1482 #  endif
1483 # endif
1484 #endif
1485