xref: /dragonfly/crypto/libressl/include/openssl/ec.h (revision 6f5ec8b5)
1 /* $OpenBSD: ec.h,v 1.28 2022/07/12 14:42:49 kn Exp $ */
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 #ifndef OPENSSL_NO_DEPRECATED
87 #include <openssl/bn.h>
88 #endif
89 
90 #ifdef  __cplusplus
91 extern "C" {
92 #elif defined(__SUNPRO_C)
93 # if __SUNPRO_C >= 0x520
94 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
95 # endif
96 #endif
97 
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 
117 typedef struct ec_method_st EC_METHOD;
118 
119 typedef struct ec_group_st
120 	/*
121 	 EC_METHOD *meth;
122 	 -- field definition
123 	 -- curve coefficients
124 	 -- optional generator with associated information (order, cofactor)
125 	 -- optional extra data (precomputed table for fast computation of multiples of generator)
126 	 -- ASN1 stuff
127 	*/
128 	EC_GROUP;
129 
130 typedef struct ec_point_st EC_POINT;
131 
132 
133 /********************************************************************/
134 /*               EC_METHODs for curves over GF(p)                   */
135 /********************************************************************/
136 
137 /** Returns the basic GFp ec methods which provides the basis for the
138  *  optimized methods.
139  *  \return  EC_METHOD object
140  */
141 const EC_METHOD *EC_GFp_simple_method(void);
142 
143 /** Returns GFp methods using montgomery multiplication.
144  *  \return  EC_METHOD object
145  */
146 const EC_METHOD *EC_GFp_mont_method(void);
147 
148 /** Returns GFp methods using optimized methods for NIST recommended curves
149  *  \return  EC_METHOD object
150  */
151 const EC_METHOD *EC_GFp_nist_method(void);
152 
153 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
154 /** Returns 64-bit optimized methods for nistp224
155  *  \return  EC_METHOD object
156  */
157 const EC_METHOD *EC_GFp_nistp224_method(void);
158 
159 /** Returns 64-bit optimized methods for nistp256
160  *  \return  EC_METHOD object
161  */
162 const EC_METHOD *EC_GFp_nistp256_method(void);
163 
164 /** Returns 64-bit optimized methods for nistp521
165  *  \return  EC_METHOD object
166  */
167 const EC_METHOD *EC_GFp_nistp521_method(void);
168 #endif
169 
170 #ifndef OPENSSL_NO_EC2M
171 /********************************************************************/
172 /*           EC_METHOD for curves over GF(2^m)                      */
173 /********************************************************************/
174 
175 /** Returns the basic GF2m ec method
176  *  \return  EC_METHOD object
177  */
178 const EC_METHOD *EC_GF2m_simple_method(void);
179 
180 #endif
181 
182 
183 /********************************************************************/
184 /*                   EC_GROUP functions                             */
185 /********************************************************************/
186 
187 /** Creates a new EC_GROUP object
188  *  \param   meth  EC_METHOD to use
189  *  \return  newly created EC_GROUP object or NULL in case of an error.
190  */
191 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
192 
193 /** Frees a EC_GROUP object
194  *  \param  group  EC_GROUP object to be freed.
195  */
196 void EC_GROUP_free(EC_GROUP *group);
197 
198 /** Clears and frees a EC_GROUP object
199  *  \param  group  EC_GROUP object to be cleared and freed.
200  */
201 void EC_GROUP_clear_free(EC_GROUP *group);
202 
203 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
204  *  \param  dst  destination EC_GROUP object
205  *  \param  src  source EC_GROUP object
206  *  \return 1 on success and 0 if an error occurred.
207  */
208 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
209 
210 /** Creates a new EC_GROUP object and copies the copies the content
211  *  form src to the newly created EC_KEY object
212  *  \param  src  source EC_GROUP object
213  *  \return newly created EC_GROUP object or NULL in case of an error.
214  */
215 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
216 
217 /** Returns the EC_METHOD of the EC_GROUP object.
218  *  \param  group  EC_GROUP object
219  *  \return EC_METHOD used in this EC_GROUP object.
220  */
221 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
222 
223 /** Returns the field type of the EC_METHOD.
224  *  \param  meth  EC_METHOD object
225  *  \return NID of the underlying field type OID.
226  */
227 int EC_METHOD_get_field_type(const EC_METHOD *meth);
228 
229 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
230  *  \param  group      EC_GROUP object
231  *  \param  generator  EC_POINT object with the generator.
232  *  \param  order      the order of the group generated by the generator.
233  *  \param  cofactor   the index of the sub-group generated by the generator
234  *                     in the group of all points on the elliptic curve.
235  *  \return 1 on success and 0 if an error occured
236  */
237 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
238 
239 /** Returns the generator of a EC_GROUP object.
240  *  \param  group  EC_GROUP object
241  *  \return the currently used generator (possibly NULL).
242  */
243 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
244 
245 /** Gets the order of a EC_GROUP
246  *  \param  group  EC_GROUP object
247  *  \param  order  BIGNUM to which the order is copied
248  *  \param  ctx    BN_CTX object (optional)
249  *  \return 1 on success and 0 if an error occured
250  */
251 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
252 
253 int EC_GROUP_order_bits(const EC_GROUP *group);
254 
255 /** Gets the cofactor of a EC_GROUP
256  *  \param  group     EC_GROUP object
257  *  \param  cofactor  BIGNUM to which the cofactor is copied
258  *  \param  ctx       BN_CTX object (optional)
259  *  \return 1 on success and 0 if an error occured
260  */
261 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
262 
263 /** Sets the name of a EC_GROUP object
264  *  \param  group  EC_GROUP object
265  *  \param  nid    NID of the curve name OID
266  */
267 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
268 
269 /** Returns the curve name of a EC_GROUP object
270  *  \param  group  EC_GROUP object
271  *  \return NID of the curve name OID or 0 if not set.
272  */
273 int EC_GROUP_get_curve_name(const EC_GROUP *group);
274 
275 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
276 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
277 
278 void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
279 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
280 
281 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
282 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
283 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
284 
285 int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
286     const BIGNUM *b, BN_CTX *ctx);
287 int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
288     BN_CTX *ctx);
289 #if !defined(LIBRESSL_INTERNAL)
290 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
291  *  \param  group  EC_GROUP object
292  *  \param  p      BIGNUM with the prime number
293  *  \param  a      BIGNUM with parameter a of the equation
294  *  \param  b      BIGNUM with parameter b of the equation
295  *  \param  ctx    BN_CTX object (optional)
296  *  \return 1 on success and 0 if an error occured
297  */
298 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
299 
300 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
301  *  \param  group  EC_GROUP object
302  *  \param  p      BIGNUM for the prime number
303  *  \param  a      BIGNUM for parameter a of the equation
304  *  \param  b      BIGNUM for parameter b of the equation
305  *  \param  ctx    BN_CTX object (optional)
306  *  \return 1 on success and 0 if an error occured
307  */
308 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
309 
310 #ifndef OPENSSL_NO_EC2M
311 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
312  *  \param  group  EC_GROUP object
313  *  \param  p      BIGNUM with the polynomial defining the underlying field
314  *  \param  a      BIGNUM with parameter a of the equation
315  *  \param  b      BIGNUM with parameter b of the equation
316  *  \param  ctx    BN_CTX object (optional)
317  *  \return 1 on success and 0 if an error occured
318  */
319 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
320 
321 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
322  *  \param  group  EC_GROUP object
323  *  \param  p      BIGNUM for the polynomial defining the underlying field
324  *  \param  a      BIGNUM for parameter a of the equation
325  *  \param  b      BIGNUM for parameter b of the equation
326  *  \param  ctx    BN_CTX object (optional)
327  *  \return 1 on success and 0 if an error occured
328  */
329 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
330 #endif
331 #endif
332 
333 /** Returns the number of bits needed to represent a field element
334  *  \param  group  EC_GROUP object
335  *  \return number of bits needed to represent a field element
336  */
337 int EC_GROUP_get_degree(const EC_GROUP *group);
338 
339 /** Checks whether the parameter in the EC_GROUP define a valid ec group
340  *  \param  group  EC_GROUP object
341  *  \param  ctx    BN_CTX object (optional)
342  *  \return 1 if group is a valid ec group and 0 otherwise
343  */
344 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
345 
346 /** Checks whether the discriminant of the elliptic curve is zero or not
347  *  \param  group  EC_GROUP object
348  *  \param  ctx    BN_CTX object (optional)
349  *  \return 1 if the discriminant is not zero and 0 otherwise
350  */
351 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
352 
353 /** Compares two EC_GROUP objects
354  *  \param  a    first EC_GROUP object
355  *  \param  b    second EC_GROUP object
356  *  \param  ctx  BN_CTX object (optional)
357  *  \return 0 if both groups are equal and 1 otherwise
358  */
359 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
360 
361 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
362  * after choosing an appropriate EC_METHOD */
363 
364 /** Creates a new EC_GROUP object with the specified parameters defined
365  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
366  *  \param  p    BIGNUM with the prime number
367  *  \param  a    BIGNUM with the parameter a of the equation
368  *  \param  b    BIGNUM with the parameter b of the equation
369  *  \param  ctx  BN_CTX object (optional)
370  *  \return newly created EC_GROUP object with the specified parameters
371  */
372 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
373 #ifndef OPENSSL_NO_EC2M
374 /** Creates a new EC_GROUP object with the specified parameters defined
375  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
376  *  \param  p    BIGNUM with the polynomial defining the underlying field
377  *  \param  a    BIGNUM with the parameter a of the equation
378  *  \param  b    BIGNUM with the parameter b of the equation
379  *  \param  ctx  BN_CTX object (optional)
380  *  \return newly created EC_GROUP object with the specified parameters
381  */
382 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
383 #endif
384 /** Creates a EC_GROUP object with a curve specified by a NID
385  *  \param  nid  NID of the OID of the curve name
386  *  \return newly created EC_GROUP object with specified curve or NULL
387  *          if an error occurred
388  */
389 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
390 
391 
392 /********************************************************************/
393 /*               handling of internal curves                        */
394 /********************************************************************/
395 
396 typedef struct {
397 	int nid;
398 	const char *comment;
399 	} EC_builtin_curve;
400 
401 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
402  * of all available curves or zero if a error occurred.
403  * In case r ist not zero nitems EC_builtin_curve structures
404  * are filled with the data of the first nitems internal groups */
405 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
406 
407 const char *EC_curve_nid2nist(int nid);
408 int EC_curve_nist2nid(const char *name);
409 
410 /********************************************************************/
411 /*                    EC_POINT functions                            */
412 /********************************************************************/
413 
414 /** Creates a new EC_POINT object for the specified EC_GROUP
415  *  \param  group  EC_GROUP the underlying EC_GROUP object
416  *  \return newly created EC_POINT object or NULL if an error occurred
417  */
418 EC_POINT *EC_POINT_new(const EC_GROUP *group);
419 
420 /** Frees a EC_POINT object
421  *  \param  point  EC_POINT object to be freed
422  */
423 void EC_POINT_free(EC_POINT *point);
424 
425 /** Clears and frees a EC_POINT object
426  *  \param  point  EC_POINT object to be cleared and freed
427  */
428 void EC_POINT_clear_free(EC_POINT *point);
429 
430 /** Copies EC_POINT object
431  *  \param  dst  destination EC_POINT object
432  *  \param  src  source EC_POINT object
433  *  \return 1 on success and 0 if an error occured
434  */
435 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
436 
437 /** Creates a new EC_POINT object and copies the content of the supplied
438  *  EC_POINT
439  *  \param  src    source EC_POINT object
440  *  \param  group  underlying the EC_GROUP object
441  *  \return newly created EC_POINT object or NULL if an error occurred
442  */
443 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
444 
445 /** Returns the EC_METHOD used in EC_POINT object
446  *  \param  point  EC_POINT object
447  *  \return the EC_METHOD used
448  */
449 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
450 
451 /** Sets a point to infinity (neutral element)
452  *  \param  group  underlying EC_GROUP object
453  *  \param  point  EC_POINT to set to infinity
454  *  \return 1 on success and 0 if an error occured
455  */
456 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
457 
458 int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *p,
459     const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
460 int EC_POINT_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *p,
461     BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
462 int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *p,
463     const BIGNUM *x, int y_bit, BN_CTX *ctx);
464 
465 #if defined(LIBRESSL_INTERNAL)
466 
467 int EC_POINT_set_Jprojective_coordinates(const EC_GROUP *group, EC_POINT *p,
468     const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
469 int EC_POINT_get_Jprojective_coordinates(const EC_GROUP *group,
470     const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
471 
472 #else
473 
474 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
475  *  \param  group  underlying EC_GROUP object
476  *  \param  p      EC_POINT object
477  *  \param  x      BIGNUM with the x-coordinate
478  *  \param  y      BIGNUM with the y-coordinate
479  *  \param  z      BIGNUM with the z-coordinate
480  *  \param  ctx    BN_CTX object (optional)
481  *  \return 1 on success and 0 if an error occured
482  */
483 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
484 	const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
485 
486 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
487  *  \param  group  underlying EC_GROUP object
488  *  \param  p      EC_POINT object
489  *  \param  x      BIGNUM for the x-coordinate
490  *  \param  y      BIGNUM for the y-coordinate
491  *  \param  z      BIGNUM for the z-coordinate
492  *  \param  ctx    BN_CTX object (optional)
493  *  \return 1 on success and 0 if an error occured
494  */
495 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
496 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
497 
498 /** Sets the affine coordinates of a EC_POINT over GFp
499  *  \param  group  underlying EC_GROUP object
500  *  \param  p      EC_POINT object
501  *  \param  x      BIGNUM with the x-coordinate
502  *  \param  y      BIGNUM with the y-coordinate
503  *  \param  ctx    BN_CTX object (optional)
504  *  \return 1 on success and 0 if an error occured
505  */
506 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
507 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
508 
509 /** Gets the affine coordinates of a EC_POINT over GFp
510  *  \param  group  underlying EC_GROUP object
511  *  \param  p      EC_POINT object
512  *  \param  x      BIGNUM for the x-coordinate
513  *  \param  y      BIGNUM for the y-coordinate
514  *  \param  ctx    BN_CTX object (optional)
515  *  \return 1 on success and 0 if an error occured
516  */
517 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
518 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
519 
520 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
521  *  \param  group  underlying EC_GROUP object
522  *  \param  p      EC_POINT object
523  *  \param  x      BIGNUM with x-coordinate
524  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
525  *  \param  ctx    BN_CTX object (optional)
526  *  \return 1 on success and 0 if an error occured
527  */
528 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
529 	const BIGNUM *x, int y_bit, BN_CTX *ctx);
530 
531 #ifndef OPENSSL_NO_EC2M
532 /** Sets the affine coordinates of a EC_POINT over GF2m
533  *  \param  group  underlying EC_GROUP object
534  *  \param  p      EC_POINT object
535  *  \param  x      BIGNUM with the x-coordinate
536  *  \param  y      BIGNUM with the y-coordinate
537  *  \param  ctx    BN_CTX object (optional)
538  *  \return 1 on success and 0 if an error occured
539  */
540 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
541 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
542 
543 /** Gets the affine coordinates of a EC_POINT over GF2m
544  *  \param  group  underlying EC_GROUP object
545  *  \param  p      EC_POINT object
546  *  \param  x      BIGNUM for the x-coordinate
547  *  \param  y      BIGNUM for the y-coordinate
548  *  \param  ctx    BN_CTX object (optional)
549  *  \return 1 on success and 0 if an error occured
550  */
551 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
552 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
553 
554 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
555  *  \param  group  underlying EC_GROUP object
556  *  \param  p      EC_POINT object
557  *  \param  x      BIGNUM with x-coordinate
558  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
559  *  \param  ctx    BN_CTX object (optional)
560  *  \return 1 on success and 0 if an error occured
561  */
562 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
563 	const BIGNUM *x, int y_bit, BN_CTX *ctx);
564 #endif /* OPENSSL_NO_EC2M */
565 #endif /* !LIBRESSL_INTERNAL */
566 
567 /** Encodes a EC_POINT object to a octet string
568  *  \param  group  underlying EC_GROUP object
569  *  \param  p      EC_POINT object
570  *  \param  form   point conversion form
571  *  \param  buf    memory buffer for the result. If NULL the function returns
572  *                 required buffer size.
573  *  \param  len    length of the memory buffer
574  *  \param  ctx    BN_CTX object (optional)
575  *  \return the length of the encoded octet string or 0 if an error occurred
576  */
577 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
578 	point_conversion_form_t form,
579         unsigned char *buf, size_t len, BN_CTX *ctx);
580 
581 /** Decodes a EC_POINT from a octet string
582  *  \param  group  underlying EC_GROUP object
583  *  \param  p      EC_POINT object
584  *  \param  buf    memory buffer with the encoded ec point
585  *  \param  len    length of the encoded ec point
586  *  \param  ctx    BN_CTX object (optional)
587  *  \return 1 on success and 0 if an error occured
588  */
589 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
590         const unsigned char *buf, size_t len, BN_CTX *ctx);
591 
592 /* other interfaces to point2oct/oct2point: */
593 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
594 	point_conversion_form_t form, BIGNUM *, BN_CTX *);
595 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
596 	EC_POINT *, BN_CTX *);
597 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
598 	point_conversion_form_t form, BN_CTX *);
599 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
600 	EC_POINT *, BN_CTX *);
601 
602 
603 /********************************************************************/
604 /*         functions for doing EC_POINT arithmetic                  */
605 /********************************************************************/
606 
607 /** Computes the sum of two EC_POINT
608  *  \param  group  underlying EC_GROUP object
609  *  \param  r      EC_POINT object for the result (r = a + b)
610  *  \param  a      EC_POINT object with the first summand
611  *  \param  b      EC_POINT object with the second summand
612  *  \param  ctx    BN_CTX object (optional)
613  *  \return 1 on success and 0 if an error occured
614  */
615 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
616 
617 /** Computes the double of a EC_POINT
618  *  \param  group  underlying EC_GROUP object
619  *  \param  r      EC_POINT object for the result (r = 2 * a)
620  *  \param  a      EC_POINT object
621  *  \param  ctx    BN_CTX object (optional)
622  *  \return 1 on success and 0 if an error occured
623  */
624 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
625 
626 /** Computes the inverse of a EC_POINT
627  *  \param  group  underlying EC_GROUP object
628  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
629  *  \param  ctx    BN_CTX object (optional)
630  *  \return 1 on success and 0 if an error occured
631  */
632 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
633 
634 /** Checks whether the point is the neutral element of the group
635  *  \param  group  the underlying EC_GROUP object
636  *  \param  p      EC_POINT object
637  *  \return 1 if the point is the neutral element and 0 otherwise
638  */
639 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
640 
641 /** Checks whether the point is on the curve
642  *  \param  group  underlying EC_GROUP object
643  *  \param  point  EC_POINT object to check
644  *  \param  ctx    BN_CTX object (optional)
645  *  \return 1 if point if on the curve and 0 otherwise
646  */
647 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
648 
649 /** Compares two EC_POINTs
650  *  \param  group  underlying EC_GROUP object
651  *  \param  a      first EC_POINT object
652  *  \param  b      second EC_POINT object
653  *  \param  ctx    BN_CTX object (optional)
654  *  \return 0 if both points are equal and a value != 0 otherwise
655  */
656 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
657 
658 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
659 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
660 
661 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
662  *  \param  group  underlying EC_GROUP object
663  *  \param  r      EC_POINT object for the result
664  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
665  *  \param  num    number futher summands
666  *  \param  p      array of size num of EC_POINT objects
667  *  \param  m      array of size num of BIGNUM objects
668  *  \param  ctx    BN_CTX object (optional)
669  *  \return 1 on success and 0 if an error occured
670  */
671 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
672 
673 /** Computes r = generator * n + q * m
674  *  \param  group  underlying EC_GROUP object
675  *  \param  r      EC_POINT object for the result
676  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
677  *  \param  q      EC_POINT object with the first factor of the second summand
678  *  \param  m      BIGNUM with the second factor of the second summand
679  *  \param  ctx    BN_CTX object (optional)
680  *  \return 1 on success and 0 if an error occured
681  */
682 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
683 
684 /** Stores multiples of generator for faster point multiplication
685  *  \param  group  EC_GROUP object
686  *  \param  ctx    BN_CTX object (optional)
687  *  \return 1 on success and 0 if an error occured
688  */
689 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
690 
691 /** Reports whether a precomputation has been done
692  *  \param  group  EC_GROUP object
693  *  \return 1 if a pre-computation has been done and 0 otherwise
694  */
695 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
696 
697 
698 /********************************************************************/
699 /*                       ASN1 stuff                                 */
700 /********************************************************************/
701 
702 /* EC_GROUP_get_basis_type() returns the NID of the basis type
703  * used to represent the field elements */
704 int EC_GROUP_get_basis_type(const EC_GROUP *);
705 #ifndef OPENSSL_NO_EC2M
706 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
707 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
708 	unsigned int *k2, unsigned int *k3);
709 #endif
710 
711 #define OPENSSL_EC_EXPLICIT_CURVE	0x000
712 #define OPENSSL_EC_NAMED_CURVE		0x001
713 
714 typedef struct ecpk_parameters_st ECPKPARAMETERS;
715 
716 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
717 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
718 
719 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
720 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
721 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
722                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
723 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
724 		(unsigned char *)(x))
725 
726 #ifndef OPENSSL_NO_BIO
727 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
728 #endif
729 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
730 
731 
732 /********************************************************************/
733 /*                      EC_KEY functions                            */
734 /********************************************************************/
735 
736 typedef struct ec_key_st EC_KEY;
737 typedef struct ec_key_method_st EC_KEY_METHOD;
738 
739 /* some values for the encoding_flag */
740 #define EC_PKEY_NO_PARAMETERS	0x001
741 #define EC_PKEY_NO_PUBKEY	0x002
742 
743 /* some values for the flags field */
744 #define EC_FLAG_NON_FIPS_ALLOW	0x1
745 #define EC_FLAG_FIPS_CHECKED	0x2
746 #define EC_FLAG_COFACTOR_ECDH	0x1000
747 
748 /** Creates a new EC_KEY object.
749  *  \return EC_KEY object or NULL if an error occurred.
750  */
751 EC_KEY *EC_KEY_new(void);
752 
753 int EC_KEY_get_flags(const EC_KEY *key);
754 
755 void EC_KEY_set_flags(EC_KEY *key, int flags);
756 
757 void EC_KEY_clear_flags(EC_KEY *key, int flags);
758 
759 /** Creates a new EC_KEY object using a named curve as underlying
760  *  EC_GROUP object.
761  *  \param  nid  NID of the named curve.
762  *  \return EC_KEY object or NULL if an error occurred.
763  */
764 EC_KEY *EC_KEY_new_by_curve_name(int nid);
765 
766 /** Frees a EC_KEY object.
767  *  \param  key  EC_KEY object to be freed.
768  */
769 void EC_KEY_free(EC_KEY *key);
770 
771 /** Copies a EC_KEY object.
772  *  \param  dst  destination EC_KEY object
773  *  \param  src  src EC_KEY object
774  *  \return dst or NULL if an error occurred.
775  */
776 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
777 
778 /** Creates a new EC_KEY object and copies the content from src to it.
779  *  \param  src  the source EC_KEY object
780  *  \return newly created EC_KEY object or NULL if an error occurred.
781  */
782 EC_KEY *EC_KEY_dup(const EC_KEY *src);
783 
784 /** Increases the internal reference count of a EC_KEY object.
785  *  \param  key  EC_KEY object
786  *  \return 1 on success and 0 if an error occurred.
787  */
788 int EC_KEY_up_ref(EC_KEY *key);
789 
790 /** Returns the EC_GROUP object of a EC_KEY object
791  *  \param  key  EC_KEY object
792  *  \return the EC_GROUP object (possibly NULL).
793  */
794 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
795 
796 /** Sets the EC_GROUP of a EC_KEY object.
797  *  \param  key    EC_KEY object
798  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
799  *                 object will use an own copy of the EC_GROUP).
800  *  \return 1 on success and 0 if an error occurred.
801  */
802 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
803 
804 /** Returns the private key of a EC_KEY object.
805  *  \param  key  EC_KEY object
806  *  \return a BIGNUM with the private key (possibly NULL).
807  */
808 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
809 
810 /** Sets the private key of a EC_KEY object.
811  *  \param  key  EC_KEY object
812  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
813  *               will use an own copy of the BIGNUM).
814  *  \return 1 on success and 0 if an error occurred.
815  */
816 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
817 
818 /** Returns the public key of a EC_KEY object.
819  *  \param  key  the EC_KEY object
820  *  \return a EC_POINT object with the public key (possibly NULL)
821  */
822 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
823 
824 /** Sets the public key of a EC_KEY object.
825  *  \param  key  EC_KEY object
826  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
827  *               will use an own copy of the EC_POINT object).
828  *  \return 1 on success and 0 if an error occurred.
829  */
830 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
831 
832 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
833 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
834 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
835 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
836 /* functions to set/get method specific data  */
837 void *EC_KEY_get_key_method_data(EC_KEY *key,
838 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
839 /** Sets the key method data of an EC_KEY object, if none has yet been set.
840  *  \param  key              EC_KEY object
841  *  \param  data             opaque data to install.
842  *  \param  dup_func         a function that duplicates |data|.
843  *  \param  free_func        a function that frees |data|.
844  *  \param  clear_free_func  a function that wipes and frees |data|.
845  *  \return the previously set data pointer, or NULL if |data| was inserted.
846  */
847 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
848 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
849 /* wrapper functions for the underlying EC_GROUP object */
850 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
851 
852 /** Creates a table of pre-computed multiples of the generator to
853  *  accelerate further EC_KEY operations.
854  *  \param  key  EC_KEY object
855  *  \param  ctx  BN_CTX object (optional)
856  *  \return 1 on success and 0 if an error occurred.
857  */
858 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
859 
860 /** Creates a new ec private (and optional a new public) key.
861  *  \param  key  EC_KEY object
862  *  \return 1 on success and 0 if an error occurred.
863  */
864 int EC_KEY_generate_key(EC_KEY *key);
865 
866 /** Verifies that a private and/or public key is valid.
867  *  \param  key  the EC_KEY object
868  *  \return 1 on success and 0 otherwise.
869  */
870 int EC_KEY_check_key(const EC_KEY *key);
871 
872 /** Sets a public key from affine coordindates performing
873  *  neccessary NIST PKV tests.
874  *  \param  key  the EC_KEY object
875  *  \param  x    public key x coordinate
876  *  \param  y    public key y coordinate
877  *  \return 1 on success and 0 otherwise.
878  */
879 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
880 
881 
882 /********************************************************************/
883 /*        de- and encoding functions for SEC1 ECPrivateKey          */
884 /********************************************************************/
885 
886 /** Decodes a private key from a memory buffer.
887  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
888  *  \param  in   pointer to memory with the DER encoded private key
889  *  \param  len  length of the DER encoded private key
890  *  \return the decoded private key or NULL if an error occurred.
891  */
892 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
893 
894 /** Encodes a private key object and stores the result in a buffer.
895  *  \param  key  the EC_KEY object to encode
896  *  \param  out  the buffer for the result (if NULL the function returns number
897  *               of bytes needed).
898  *  \return 1 on success and 0 if an error occurred.
899  */
900 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
901 
902 
903 /********************************************************************/
904 /*        de- and encoding functions for EC parameters              */
905 /********************************************************************/
906 
907 /** Decodes ec parameter from a memory buffer.
908  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
909  *  \param  in   pointer to memory with the DER encoded ec parameters
910  *  \param  len  length of the DER encoded ec parameters
911  *  \return a EC_KEY object with the decoded parameters or NULL if an error
912  *          occurred.
913  */
914 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
915 
916 /** Encodes ec parameter and stores the result in a buffer.
917  *  \param  key  the EC_KEY object with ec paramters to encode
918  *  \param  out  the buffer for the result (if NULL the function returns number
919  *               of bytes needed).
920  *  \return 1 on success and 0 if an error occurred.
921  */
922 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
923 
924 
925 /********************************************************************/
926 /*         de- and encoding functions for EC public key             */
927 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
928 /********************************************************************/
929 
930 /** Decodes a ec public key from a octet string.
931  *  \param  key  a pointer to a EC_KEY object which should be used
932  *  \param  in   memory buffer with the encoded public key
933  *  \param  len  length of the encoded public key
934  *  \return EC_KEY object with decoded public key or NULL if an error
935  *          occurred.
936  */
937 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
938 
939 /** Encodes a ec public key in an octet string.
940  *  \param  key  the EC_KEY object with the public key
941  *  \param  out  the buffer for the result (if NULL the function returns number
942  *               of bytes needed).
943  *  \return 1 on success and 0 if an error occurred
944  */
945 int i2o_ECPublicKey(const EC_KEY *key, unsigned char **out);
946 
947 #ifndef OPENSSL_NO_BIO
948 /** Prints out the ec parameters on human readable form.
949  *  \param  bp   BIO object to which the information is printed
950  *  \param  key  EC_KEY object
951  *  \return 1 on success and 0 if an error occurred
952  */
953 int	ECParameters_print(BIO *bp, const EC_KEY *key);
954 
955 /** Prints out the contents of a EC_KEY object
956  *  \param  bp   BIO object to which the information is printed
957  *  \param  key  EC_KEY object
958  *  \param  off  line offset
959  *  \return 1 on success and 0 if an error occurred
960  */
961 int	EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
962 
963 #endif
964 /** Prints out the ec parameters on human readable form.
965  *  \param  fp   file descriptor to which the information is printed
966  *  \param  key  EC_KEY object
967  *  \return 1 on success and 0 if an error occurred
968  */
969 int	ECParameters_print_fp(FILE *fp, const EC_KEY *key);
970 
971 /** Prints out the contents of a EC_KEY object
972  *  \param  fp   file descriptor to which the information is printed
973  *  \param  key  EC_KEY object
974  *  \param  off  line offset
975  *  \return 1 on success and 0 if an error occurred
976  */
977 int	EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
978 
979 #define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
980     CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
981 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
982 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
983 
984 const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
985 const EC_KEY_METHOD *EC_KEY_get_default_method(void);
986 void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
987 const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
988 int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
989 EC_KEY *EC_KEY_new_method(ENGINE *engine);
990 EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
991 void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
992 void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
993     int (*init)(EC_KEY *key),
994     void (*finish)(EC_KEY *key),
995     int (*copy)(EC_KEY *dest, const EC_KEY *src),
996     int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
997     int (*set_private)(EC_KEY *key, const BIGNUM *priv_key),
998     int (*set_public)(EC_KEY *key, const EC_POINT *pub_key));
999 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
1000     int (*keygen)(EC_KEY *key));
1001 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
1002     int (*ckey)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh,
1003 	void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)));
1004 void EC_KEY_METHOD_get_init(const EC_KEY_METHOD *meth,
1005     int (**pinit)(EC_KEY *key),
1006     void (**pfinish)(EC_KEY *key),
1007     int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
1008     int (**pset_group)(EC_KEY *key, const EC_GROUP *grp),
1009     int (**pset_private)(EC_KEY *key, const BIGNUM *priv_key),
1010     int (**pset_public)(EC_KEY *key, const EC_POINT *pub_key));
1011 void EC_KEY_METHOD_get_keygen(const EC_KEY_METHOD *meth,
1012     int (**pkeygen)(EC_KEY *key));
1013 void EC_KEY_METHOD_get_compute_key(const EC_KEY_METHOD *meth,
1014     int (**pck)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh,
1015 	void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)));
1016 
1017 EC_KEY *ECParameters_dup(EC_KEY *key);
1018 
1019 #ifndef __cplusplus
1020 #if defined(__SUNPRO_C)
1021 #  if __SUNPRO_C >= 0x520
1022 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
1023 #  endif
1024 # endif
1025 #endif
1026 
1027 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
1028 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1029 	    EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1030 	    EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1031 
1032 #define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1033 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1034 	    EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1035 	    EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1036 
1037 #define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1038 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1039 	    EVP_PKEY_OP_DERIVE, \
1040 	    EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1041 
1042 #define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1043 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1044 	    EVP_PKEY_OP_DERIVE, \
1045 	    EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1046 
1047 #define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1048 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1049 	    EVP_PKEY_OP_DERIVE, \
1050 	    EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1051 
1052 #define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1053 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1054 	    EVP_PKEY_OP_DERIVE, \
1055 	    EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1056 
1057 #define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1058 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1059 	    EVP_PKEY_OP_DERIVE, \
1060 	    EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)(md))
1061 
1062 #define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1063 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1064 	    EVP_PKEY_OP_DERIVE, \
1065 	    EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)(pmd))
1066 
1067 #define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1068 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1069 	    EVP_PKEY_OP_DERIVE, \
1070 	    EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1071 
1072 #define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1073 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1074 	    EVP_PKEY_OP_DERIVE, \
1075 	    EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, \
1076 	    (void *)(plen))
1077 
1078 #define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1079 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1080 	    EVP_PKEY_OP_DERIVE, \
1081 	    EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)(p))
1082 
1083 #define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1084 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1085 	    EVP_PKEY_OP_DERIVE, \
1086 	    EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)(p))
1087 
1088 /* SM2 will skip the operation check so no need to pass operation here */
1089 #define EVP_PKEY_CTX_set1_id(ctx, id, id_len) \
1090 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1091 	    EVP_PKEY_CTRL_SET1_ID, (int)id_len, (void*)(id))
1092 
1093 #define EVP_PKEY_CTX_get1_id(ctx, id) \
1094 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1095 	    EVP_PKEY_CTRL_GET1_ID, 0, (void*)(id))
1096 
1097 #define EVP_PKEY_CTX_get1_id_len(ctx, id_len) \
1098 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1099 	    EVP_PKEY_CTRL_GET1_ID_LEN, 0, (void*)(id_len))
1100 
1101 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID		(EVP_PKEY_ALG_CTRL + 1)
1102 #define EVP_PKEY_CTRL_EC_PARAM_ENC			(EVP_PKEY_ALG_CTRL + 2)
1103 #define EVP_PKEY_CTRL_EC_ECDH_COFACTOR			(EVP_PKEY_ALG_CTRL + 3)
1104 #define EVP_PKEY_CTRL_EC_KDF_TYPE			(EVP_PKEY_ALG_CTRL + 4)
1105 #define EVP_PKEY_CTRL_EC_KDF_MD				(EVP_PKEY_ALG_CTRL + 5)
1106 #define EVP_PKEY_CTRL_GET_EC_KDF_MD			(EVP_PKEY_ALG_CTRL + 6)
1107 #define EVP_PKEY_CTRL_EC_KDF_OUTLEN			(EVP_PKEY_ALG_CTRL + 7)
1108 #define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN			(EVP_PKEY_ALG_CTRL + 8)
1109 #define EVP_PKEY_CTRL_EC_KDF_UKM			(EVP_PKEY_ALG_CTRL + 9)
1110 #define EVP_PKEY_CTRL_GET_EC_KDF_UKM			(EVP_PKEY_ALG_CTRL + 10)
1111 #define EVP_PKEY_CTRL_SET1_ID				(EVP_PKEY_ALG_CTRL + 11)
1112 #define EVP_PKEY_CTRL_GET1_ID				(EVP_PKEY_ALG_CTRL + 12)
1113 #define EVP_PKEY_CTRL_GET1_ID_LEN			(EVP_PKEY_ALG_CTRL + 13)
1114 
1115 /* KDF types */
1116 #define EVP_PKEY_ECDH_KDF_NONE				1
1117 #define EVP_PKEY_ECDH_KDF_X9_63				2
1118 
1119 void ERR_load_EC_strings(void);
1120 
1121 /* Error codes for the EC functions. */
1122 
1123 /* Function codes. */
1124 #define EC_F_BN_TO_FELEM				 224
1125 #define EC_F_COMPUTE_WNAF				 143
1126 #define EC_F_D2I_ECPARAMETERS				 144
1127 #define EC_F_D2I_ECPKPARAMETERS				 145
1128 #define EC_F_D2I_ECPRIVATEKEY				 146
1129 #define EC_F_DO_EC_KEY_PRINT				 221
1130 #define EC_F_ECKEY_PARAM2TYPE				 223
1131 #define EC_F_ECKEY_PARAM_DECODE				 212
1132 #define EC_F_ECKEY_PRIV_DECODE				 213
1133 #define EC_F_ECKEY_PRIV_ENCODE				 214
1134 #define EC_F_ECKEY_PUB_DECODE				 215
1135 #define EC_F_ECKEY_PUB_ENCODE				 216
1136 #define EC_F_ECKEY_TYPE2PARAM				 220
1137 #define EC_F_ECPARAMETERS_PRINT				 147
1138 #define EC_F_ECPARAMETERS_PRINT_FP			 148
1139 #define EC_F_ECPKPARAMETERS_PRINT			 149
1140 #define EC_F_ECPKPARAMETERS_PRINT_FP			 150
1141 #define EC_F_ECP_NIST_MOD_192				 203
1142 #define EC_F_ECP_NIST_MOD_224				 204
1143 #define EC_F_ECP_NIST_MOD_256				 205
1144 #define EC_F_ECP_NIST_MOD_521				 206
1145 #define EC_F_ECP_NISTZ256_GET_AFFINE			 240
1146 #define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE		 243
1147 #define EC_F_ECP_NISTZ256_POINTS_MUL			 241
1148 #define EC_F_ECP_NISTZ256_PRE_COMP_NEW			 244
1149 #define EC_F_ECP_NISTZ256_SET_WORDS			 245
1150 #define EC_F_ECP_NISTZ256_WINDOWED_MUL			 242
1151 #define EC_F_EC_ASN1_GROUP2CURVE			 153
1152 #define EC_F_EC_ASN1_GROUP2FIELDID			 154
1153 #define EC_F_EC_ASN1_GROUP2PARAMETERS			 155
1154 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS			 156
1155 #define EC_F_EC_ASN1_PARAMETERS2GROUP			 157
1156 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP			 158
1157 #define EC_F_EC_EX_DATA_SET_DATA			 211
1158 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY		 208
1159 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT	 159
1160 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE		 195
1161 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT			 160
1162 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT			 161
1163 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1164 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1165 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES	 164
1166 #define EC_F_EC_GFP_MONT_FIELD_DECODE			 133
1167 #define EC_F_EC_GFP_MONT_FIELD_ENCODE			 134
1168 #define EC_F_EC_GFP_MONT_FIELD_MUL			 131
1169 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE		 209
1170 #define EC_F_EC_GFP_MONT_FIELD_SQR			 132
1171 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE		 189
1172 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP		 135
1173 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE		 225
1174 #define EC_F_EC_GFP_NISTP224_POINTS_MUL			 228
1175 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1176 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE		 230
1177 #define EC_F_EC_GFP_NISTP256_POINTS_MUL			 231
1178 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1179 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE		 233
1180 #define EC_F_EC_GFP_NISTP521_POINTS_MUL			 234
1181 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1182 #define EC_F_EC_GFP_NIST_FIELD_MUL			 200
1183 #define EC_F_EC_GFP_NIST_FIELD_SQR			 201
1184 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE		 202
1185 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT	 165
1186 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE		 166
1187 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP		 100
1188 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR		 101
1189 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE			 102
1190 #define EC_F_EC_GFP_SIMPLE_OCT2POINT			 103
1191 #define EC_F_EC_GFP_SIMPLE_POINT2OCT			 104
1192 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE		 137
1193 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES	 167
1194 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1195 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES	 168
1196 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1197 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES	 169
1198 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1199 #define EC_F_EC_GROUP_CHECK				 170
1200 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT		 171
1201 #define EC_F_EC_GROUP_COPY				 106
1202 #define EC_F_EC_GROUP_GET0_GENERATOR			 139
1203 #define EC_F_EC_GROUP_GET_COFACTOR			 140
1204 #define EC_F_EC_GROUP_GET_CURVE_GF2M			 172
1205 #define EC_F_EC_GROUP_GET_CURVE_GFP			 130
1206 #define EC_F_EC_GROUP_GET_DEGREE			 173
1207 #define EC_F_EC_GROUP_GET_ORDER				 141
1208 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS		 193
1209 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS		 194
1210 #define EC_F_EC_GROUP_NEW				 108
1211 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME			 174
1212 #define EC_F_EC_GROUP_NEW_FROM_DATA			 175
1213 #define EC_F_EC_GROUP_PRECOMPUTE_MULT			 142
1214 #define EC_F_EC_GROUP_SET_CURVE_GF2M			 176
1215 #define EC_F_EC_GROUP_SET_CURVE_GFP			 109
1216 #define EC_F_EC_GROUP_SET_EXTRA_DATA			 110
1217 #define EC_F_EC_GROUP_SET_GENERATOR			 111
1218 #define EC_F_EC_KEY_CHECK_KEY				 177
1219 #define EC_F_EC_KEY_COPY				 178
1220 #define EC_F_EC_KEY_GENERATE_KEY			 179
1221 #define EC_F_EC_KEY_NEW					 182
1222 #define EC_F_EC_KEY_PRINT				 180
1223 #define EC_F_EC_KEY_PRINT_FP				 181
1224 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES	 229
1225 #define EC_F_EC_POINTS_MAKE_AFFINE			 136
1226 #define EC_F_EC_POINT_ADD				 112
1227 #define EC_F_EC_POINT_CMP				 113
1228 #define EC_F_EC_POINT_COPY				 114
1229 #define EC_F_EC_POINT_DBL				 115
1230 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M	 183
1231 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP	 116
1232 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP	 117
1233 #define EC_F_EC_POINT_INVERT				 210
1234 #define EC_F_EC_POINT_IS_AT_INFINITY			 118
1235 #define EC_F_EC_POINT_IS_ON_CURVE			 119
1236 #define EC_F_EC_POINT_MAKE_AFFINE			 120
1237 #define EC_F_EC_POINT_MUL				 184
1238 #define EC_F_EC_POINT_NEW				 121
1239 #define EC_F_EC_POINT_OCT2POINT				 122
1240 #define EC_F_EC_POINT_POINT2OCT				 123
1241 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M	 185
1242 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP	 124
1243 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M	 186
1244 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP	 125
1245 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP	 126
1246 #define EC_F_EC_POINT_SET_TO_INFINITY			 127
1247 #define EC_F_EC_PRE_COMP_DUP				 207
1248 #define EC_F_EC_PRE_COMP_NEW				 196
1249 #define EC_F_EC_WNAF_MUL				 187
1250 #define EC_F_EC_WNAF_PRECOMPUTE_MULT			 188
1251 #define EC_F_I2D_ECPARAMETERS				 190
1252 #define EC_F_I2D_ECPKPARAMETERS				 191
1253 #define EC_F_I2D_ECPRIVATEKEY				 192
1254 #define EC_F_I2O_ECPUBLICKEY				 151
1255 #define EC_F_NISTP224_PRE_COMP_NEW			 227
1256 #define EC_F_NISTP256_PRE_COMP_NEW			 236
1257 #define EC_F_NISTP521_PRE_COMP_NEW			 237
1258 #define EC_F_O2I_ECPUBLICKEY				 152
1259 #define EC_F_OLD_EC_PRIV_DECODE				 222
1260 #define EC_F_PKEY_EC_CTRL				 197
1261 #define EC_F_PKEY_EC_CTRL_STR				 198
1262 #define EC_F_PKEY_EC_DERIVE				 217
1263 #define EC_F_PKEY_EC_KEYGEN				 199
1264 #define EC_F_PKEY_EC_PARAMGEN				 219
1265 #define EC_F_PKEY_EC_SIGN				 218
1266 
1267 /* Reason codes. */
1268 #define EC_R_ASN1_ERROR					 115
1269 #define EC_R_ASN1_UNKNOWN_FIELD				 116
1270 #define EC_R_BIGNUM_OUT_OF_RANGE			 144
1271 #define EC_R_BUFFER_TOO_SMALL				 100
1272 #define EC_R_COORDINATES_OUT_OF_RANGE			 146
1273 #define EC_R_D2I_ECPKPARAMETERS_FAILURE			 117
1274 #define EC_R_DECODE_ERROR				 142
1275 #define EC_R_DISCRIMINANT_IS_ZERO			 118
1276 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE		 119
1277 #define EC_R_FIELD_TOO_LARGE				 143
1278 #define EC_R_GF2M_NOT_SUPPORTED				 147
1279 #define EC_R_GROUP2PKPARAMETERS_FAILURE			 120
1280 #define EC_R_I2D_ECPKPARAMETERS_FAILURE			 121
1281 #define EC_R_INCOMPATIBLE_OBJECTS			 101
1282 #define EC_R_INVALID_ARGUMENT				 112
1283 #define EC_R_INVALID_COMPRESSED_POINT			 110
1284 #define EC_R_INVALID_COMPRESSION_BIT			 109
1285 #define EC_R_INVALID_CURVE				 141
1286 #define EC_R_INVALID_DIGEST				 151
1287 #define EC_R_INVALID_DIGEST_TYPE			 138
1288 #define EC_R_INVALID_ENCODING				 102
1289 #define EC_R_INVALID_FIELD				 103
1290 #define EC_R_INVALID_FORM				 104
1291 #define EC_R_INVALID_GROUP_ORDER			 122
1292 #define EC_R_INVALID_PENTANOMIAL_BASIS			 132
1293 #define EC_R_INVALID_PRIVATE_KEY			 123
1294 #define EC_R_INVALID_TRINOMIAL_BASIS			 137
1295 #define EC_R_KDF_PARAMETER_ERROR			 148
1296 #define EC_R_KEYS_NOT_SET				 140
1297 #define EC_R_MISSING_PARAMETERS				 124
1298 #define EC_R_MISSING_PRIVATE_KEY			 125
1299 #define EC_R_NOT_A_NIST_PRIME				 135
1300 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME			 136
1301 #define EC_R_NOT_IMPLEMENTED				 126
1302 #define EC_R_NOT_INITIALIZED				 111
1303 #define EC_R_NO_FIELD_MOD				 133
1304 #define EC_R_NO_PARAMETERS_SET				 139
1305 #define EC_R_PASSED_NULL_PARAMETER			 134
1306 #define EC_R_PEER_KEY_ERROR				 149
1307 #define EC_R_PKPARAMETERS2GROUP_FAILURE			 127
1308 #define EC_R_POINT_AT_INFINITY				 106
1309 #define EC_R_POINT_IS_NOT_ON_CURVE			 107
1310 #define EC_R_SHARED_INFO_ERROR				 150
1311 #define EC_R_SLOT_FULL					 108
1312 #define EC_R_UNDEFINED_GENERATOR			 113
1313 #define EC_R_UNDEFINED_ORDER				 128
1314 #define EC_R_UNKNOWN_COFACTOR				 164
1315 #define EC_R_UNKNOWN_GROUP				 129
1316 #define EC_R_UNKNOWN_ORDER				 114
1317 #define EC_R_UNSUPPORTED_FIELD				 131
1318 #define EC_R_WRONG_CURVE_PARAMETERS			 145
1319 #define EC_R_WRONG_ORDER				 130
1320 
1321 #ifdef  __cplusplus
1322 }
1323 #endif
1324 #endif
1325