xref: /openbsd-src/lib/libcrypto/ec/ec.h (revision f1dd7b858388b4a23f4f67a4957ec5ff656ebbe8)
1 /* $OpenBSD: ec.h,v 1.24 2021/05/10 16:58:19 tb 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 /** Gets the cofactor of a EC_GROUP
254  *  \param  group     EC_GROUP object
255  *  \param  cofactor  BIGNUM to which the cofactor is copied
256  *  \param  ctx       BN_CTX object (optional)
257  *  \return 1 on success and 0 if an error occured
258  */
259 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
260 
261 /** Sets the name of a EC_GROUP object
262  *  \param  group  EC_GROUP object
263  *  \param  nid    NID of the curve name OID
264  */
265 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
266 
267 /** Returns the curve name of a EC_GROUP object
268  *  \param  group  EC_GROUP object
269  *  \return NID of the curve name OID or 0 if not set.
270  */
271 int EC_GROUP_get_curve_name(const EC_GROUP *group);
272 
273 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
274 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
275 
276 void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
277 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
278 
279 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
280 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
281 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
282 
283 int EC_GROUP_set_curve(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
284     const BIGNUM *b, BN_CTX *ctx);
285 int EC_GROUP_get_curve(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b,
286     BN_CTX *ctx);
287 #if !defined(LIBRESSL_INTERNAL)
288 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
289  *  \param  group  EC_GROUP object
290  *  \param  p      BIGNUM with the prime number
291  *  \param  a      BIGNUM with parameter a of the equation
292  *  \param  b      BIGNUM with parameter b of the equation
293  *  \param  ctx    BN_CTX object (optional)
294  *  \return 1 on success and 0 if an error occured
295  */
296 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
297 
298 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
299  *  \param  group  EC_GROUP object
300  *  \param  p      BIGNUM for the prime number
301  *  \param  a      BIGNUM for parameter a of the equation
302  *  \param  b      BIGNUM for parameter b of the equation
303  *  \param  ctx    BN_CTX object (optional)
304  *  \return 1 on success and 0 if an error occured
305  */
306 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
307 
308 #ifndef OPENSSL_NO_EC2M
309 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
310  *  \param  group  EC_GROUP object
311  *  \param  p      BIGNUM with the polynomial defining the underlying field
312  *  \param  a      BIGNUM with parameter a of the equation
313  *  \param  b      BIGNUM with parameter b of the equation
314  *  \param  ctx    BN_CTX object (optional)
315  *  \return 1 on success and 0 if an error occured
316  */
317 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
318 
319 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
320  *  \param  group  EC_GROUP object
321  *  \param  p      BIGNUM for the polynomial defining the underlying field
322  *  \param  a      BIGNUM for parameter a of the equation
323  *  \param  b      BIGNUM for parameter b of the equation
324  *  \param  ctx    BN_CTX object (optional)
325  *  \return 1 on success and 0 if an error occured
326  */
327 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
328 #endif
329 #endif
330 
331 /** Returns the number of bits needed to represent a field element
332  *  \param  group  EC_GROUP object
333  *  \return number of bits needed to represent a field element
334  */
335 int EC_GROUP_get_degree(const EC_GROUP *group);
336 
337 /** Checks whether the parameter in the EC_GROUP define a valid ec group
338  *  \param  group  EC_GROUP object
339  *  \param  ctx    BN_CTX object (optional)
340  *  \return 1 if group is a valid ec group and 0 otherwise
341  */
342 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
343 
344 /** Checks whether the discriminant of the elliptic curve is zero or not
345  *  \param  group  EC_GROUP object
346  *  \param  ctx    BN_CTX object (optional)
347  *  \return 1 if the discriminant is not zero and 0 otherwise
348  */
349 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
350 
351 /** Compares two EC_GROUP objects
352  *  \param  a    first EC_GROUP object
353  *  \param  b    second EC_GROUP object
354  *  \param  ctx  BN_CTX object (optional)
355  *  \return 0 if both groups are equal and 1 otherwise
356  */
357 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
358 
359 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
360  * after choosing an appropriate EC_METHOD */
361 
362 /** Creates a new EC_GROUP object with the specified parameters defined
363  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
364  *  \param  p    BIGNUM with the prime number
365  *  \param  a    BIGNUM with the parameter a of the equation
366  *  \param  b    BIGNUM with the parameter b of the equation
367  *  \param  ctx  BN_CTX object (optional)
368  *  \return newly created EC_GROUP object with the specified parameters
369  */
370 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
371 #ifndef OPENSSL_NO_EC2M
372 /** Creates a new EC_GROUP object with the specified parameters defined
373  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
374  *  \param  p    BIGNUM with the polynomial defining the underlying field
375  *  \param  a    BIGNUM with the parameter a of the equation
376  *  \param  b    BIGNUM with the parameter b of the equation
377  *  \param  ctx  BN_CTX object (optional)
378  *  \return newly created EC_GROUP object with the specified parameters
379  */
380 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
381 #endif
382 /** Creates a EC_GROUP object with a curve specified by a NID
383  *  \param  nid  NID of the OID of the curve name
384  *  \return newly created EC_GROUP object with specified curve or NULL
385  *          if an error occurred
386  */
387 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
388 
389 
390 /********************************************************************/
391 /*               handling of internal curves                        */
392 /********************************************************************/
393 
394 typedef struct {
395 	int nid;
396 	const char *comment;
397 	} EC_builtin_curve;
398 
399 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
400  * of all available curves or zero if a error occurred.
401  * In case r ist not zero nitems EC_builtin_curve structures
402  * are filled with the data of the first nitems internal groups */
403 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
404 
405 const char *EC_curve_nid2nist(int nid);
406 int EC_curve_nist2nid(const char *name);
407 
408 /********************************************************************/
409 /*                    EC_POINT functions                            */
410 /********************************************************************/
411 
412 /** Creates a new EC_POINT object for the specified EC_GROUP
413  *  \param  group  EC_GROUP the underlying EC_GROUP object
414  *  \return newly created EC_POINT object or NULL if an error occurred
415  */
416 EC_POINT *EC_POINT_new(const EC_GROUP *group);
417 
418 /** Frees a EC_POINT object
419  *  \param  point  EC_POINT object to be freed
420  */
421 void EC_POINT_free(EC_POINT *point);
422 
423 /** Clears and frees a EC_POINT object
424  *  \param  point  EC_POINT object to be cleared and freed
425  */
426 void EC_POINT_clear_free(EC_POINT *point);
427 
428 /** Copies EC_POINT object
429  *  \param  dst  destination EC_POINT object
430  *  \param  src  source EC_POINT object
431  *  \return 1 on success and 0 if an error occured
432  */
433 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
434 
435 /** Creates a new EC_POINT object and copies the content of the supplied
436  *  EC_POINT
437  *  \param  src    source EC_POINT object
438  *  \param  group  underlying the EC_GROUP object
439  *  \return newly created EC_POINT object or NULL if an error occurred
440  */
441 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
442 
443 /** Returns the EC_METHOD used in EC_POINT object
444  *  \param  point  EC_POINT object
445  *  \return the EC_METHOD used
446  */
447 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
448 
449 /** Sets a point to infinity (neutral element)
450  *  \param  group  underlying EC_GROUP object
451  *  \param  point  EC_POINT to set to infinity
452  *  \return 1 on success and 0 if an error occured
453  */
454 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
455 
456 int EC_POINT_set_affine_coordinates(const EC_GROUP *group, EC_POINT *p,
457     const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
458 int EC_POINT_get_affine_coordinates(const EC_GROUP *group, const EC_POINT *p,
459     BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
460 int EC_POINT_set_compressed_coordinates(const EC_GROUP *group, EC_POINT *p,
461     const BIGNUM *x, int y_bit, BN_CTX *ctx);
462 
463 #if defined(LIBRESSL_INTERNAL)
464 
465 int EC_POINT_set_Jprojective_coordinates(const EC_GROUP *group, EC_POINT *p,
466     const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
467 int EC_POINT_get_Jprojective_coordinates(const EC_GROUP *group,
468     const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
469 
470 #else
471 
472 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
473  *  \param  group  underlying EC_GROUP object
474  *  \param  p      EC_POINT object
475  *  \param  x      BIGNUM with the x-coordinate
476  *  \param  y      BIGNUM with the y-coordinate
477  *  \param  z      BIGNUM with the z-coordinate
478  *  \param  ctx    BN_CTX object (optional)
479  *  \return 1 on success and 0 if an error occured
480  */
481 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
482 	const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
483 
484 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
485  *  \param  group  underlying EC_GROUP object
486  *  \param  p      EC_POINT object
487  *  \param  x      BIGNUM for the x-coordinate
488  *  \param  y      BIGNUM for the y-coordinate
489  *  \param  z      BIGNUM for the z-coordinate
490  *  \param  ctx    BN_CTX object (optional)
491  *  \return 1 on success and 0 if an error occured
492  */
493 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
494 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
495 
496 /** Sets the affine coordinates of a EC_POINT over GFp
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 occured
503  */
504 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
505 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
506 
507 /** Gets the affine coordinates of a EC_POINT over GFp
508  *  \param  group  underlying EC_GROUP object
509  *  \param  p      EC_POINT object
510  *  \param  x      BIGNUM for the x-coordinate
511  *  \param  y      BIGNUM for the y-coordinate
512  *  \param  ctx    BN_CTX object (optional)
513  *  \return 1 on success and 0 if an error occured
514  */
515 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
516 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
517 
518 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
519  *  \param  group  underlying EC_GROUP object
520  *  \param  p      EC_POINT object
521  *  \param  x      BIGNUM with x-coordinate
522  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
523  *  \param  ctx    BN_CTX object (optional)
524  *  \return 1 on success and 0 if an error occured
525  */
526 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
527 	const BIGNUM *x, int y_bit, BN_CTX *ctx);
528 
529 #ifndef OPENSSL_NO_EC2M
530 /** Sets the affine coordinates of a EC_POINT over GF2m
531  *  \param  group  underlying EC_GROUP object
532  *  \param  p      EC_POINT object
533  *  \param  x      BIGNUM with the x-coordinate
534  *  \param  y      BIGNUM with the y-coordinate
535  *  \param  ctx    BN_CTX object (optional)
536  *  \return 1 on success and 0 if an error occured
537  */
538 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
539 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
540 
541 /** Gets the affine coordinates of a EC_POINT over GF2m
542  *  \param  group  underlying EC_GROUP object
543  *  \param  p      EC_POINT object
544  *  \param  x      BIGNUM for the x-coordinate
545  *  \param  y      BIGNUM for the y-coordinate
546  *  \param  ctx    BN_CTX object (optional)
547  *  \return 1 on success and 0 if an error occured
548  */
549 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
550 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
551 
552 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
553  *  \param  group  underlying EC_GROUP object
554  *  \param  p      EC_POINT object
555  *  \param  x      BIGNUM with x-coordinate
556  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
557  *  \param  ctx    BN_CTX object (optional)
558  *  \return 1 on success and 0 if an error occured
559  */
560 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
561 	const BIGNUM *x, int y_bit, BN_CTX *ctx);
562 #endif /* OPENSSL_NO_EC2M */
563 #endif /* !LIBRESSL_INTERNAL */
564 
565 /** Encodes a EC_POINT object to a octet string
566  *  \param  group  underlying EC_GROUP object
567  *  \param  p      EC_POINT object
568  *  \param  form   point conversion form
569  *  \param  buf    memory buffer for the result. If NULL the function returns
570  *                 required buffer size.
571  *  \param  len    length of the memory buffer
572  *  \param  ctx    BN_CTX object (optional)
573  *  \return the length of the encoded octet string or 0 if an error occurred
574  */
575 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
576 	point_conversion_form_t form,
577         unsigned char *buf, size_t len, BN_CTX *ctx);
578 
579 /** Decodes a EC_POINT from a octet string
580  *  \param  group  underlying EC_GROUP object
581  *  \param  p      EC_POINT object
582  *  \param  buf    memory buffer with the encoded ec point
583  *  \param  len    length of the encoded ec point
584  *  \param  ctx    BN_CTX object (optional)
585  *  \return 1 on success and 0 if an error occured
586  */
587 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
588         const unsigned char *buf, size_t len, BN_CTX *ctx);
589 
590 /* other interfaces to point2oct/oct2point: */
591 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
592 	point_conversion_form_t form, BIGNUM *, BN_CTX *);
593 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
594 	EC_POINT *, BN_CTX *);
595 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
596 	point_conversion_form_t form, BN_CTX *);
597 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
598 	EC_POINT *, BN_CTX *);
599 
600 
601 /********************************************************************/
602 /*         functions for doing EC_POINT arithmetic                  */
603 /********************************************************************/
604 
605 /** Computes the sum of two EC_POINT
606  *  \param  group  underlying EC_GROUP object
607  *  \param  r      EC_POINT object for the result (r = a + b)
608  *  \param  a      EC_POINT object with the first summand
609  *  \param  b      EC_POINT object with the second summand
610  *  \param  ctx    BN_CTX object (optional)
611  *  \return 1 on success and 0 if an error occured
612  */
613 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
614 
615 /** Computes the double of a EC_POINT
616  *  \param  group  underlying EC_GROUP object
617  *  \param  r      EC_POINT object for the result (r = 2 * a)
618  *  \param  a      EC_POINT object
619  *  \param  ctx    BN_CTX object (optional)
620  *  \return 1 on success and 0 if an error occured
621  */
622 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
623 
624 /** Computes the inverse of a EC_POINT
625  *  \param  group  underlying EC_GROUP object
626  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
627  *  \param  ctx    BN_CTX object (optional)
628  *  \return 1 on success and 0 if an error occured
629  */
630 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
631 
632 /** Checks whether the point is the neutral element of the group
633  *  \param  group  the underlying EC_GROUP object
634  *  \param  p      EC_POINT object
635  *  \return 1 if the point is the neutral element and 0 otherwise
636  */
637 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
638 
639 /** Checks whether the point is on the curve
640  *  \param  group  underlying EC_GROUP object
641  *  \param  point  EC_POINT object to check
642  *  \param  ctx    BN_CTX object (optional)
643  *  \return 1 if point if on the curve and 0 otherwise
644  */
645 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
646 
647 /** Compares two EC_POINTs
648  *  \param  group  underlying EC_GROUP object
649  *  \param  a      first EC_POINT object
650  *  \param  b      second EC_POINT object
651  *  \param  ctx    BN_CTX object (optional)
652  *  \return 0 if both points are equal and a value != 0 otherwise
653  */
654 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
655 
656 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
657 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
658 
659 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
660  *  \param  group  underlying EC_GROUP object
661  *  \param  r      EC_POINT object for the result
662  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
663  *  \param  num    number futher summands
664  *  \param  p      array of size num of EC_POINT objects
665  *  \param  m      array of size num of BIGNUM objects
666  *  \param  ctx    BN_CTX object (optional)
667  *  \return 1 on success and 0 if an error occured
668  */
669 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);
670 
671 /** Computes r = generator * n + q * m
672  *  \param  group  underlying EC_GROUP object
673  *  \param  r      EC_POINT object for the result
674  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
675  *  \param  q      EC_POINT object with the first factor of the second summand
676  *  \param  m      BIGNUM with the second factor of the second summand
677  *  \param  ctx    BN_CTX object (optional)
678  *  \return 1 on success and 0 if an error occured
679  */
680 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
681 
682 /** Stores multiples of generator for faster point multiplication
683  *  \param  group  EC_GROUP object
684  *  \param  ctx    BN_CTX object (optional)
685  *  \return 1 on success and 0 if an error occured
686  */
687 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
688 
689 /** Reports whether a precomputation has been done
690  *  \param  group  EC_GROUP object
691  *  \return 1 if a pre-computation has been done and 0 otherwise
692  */
693 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
694 
695 
696 /********************************************************************/
697 /*                       ASN1 stuff                                 */
698 /********************************************************************/
699 
700 /* EC_GROUP_get_basis_type() returns the NID of the basis type
701  * used to represent the field elements */
702 int EC_GROUP_get_basis_type(const EC_GROUP *);
703 #ifndef OPENSSL_NO_EC2M
704 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
705 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
706 	unsigned int *k2, unsigned int *k3);
707 #endif
708 
709 #define OPENSSL_EC_NAMED_CURVE	0x001
710 
711 typedef struct ecpk_parameters_st ECPKPARAMETERS;
712 
713 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
714 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
715 
716 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
717 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
718 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
719                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
720 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
721 		(unsigned char *)(x))
722 
723 #ifndef OPENSSL_NO_BIO
724 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
725 #endif
726 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
727 
728 
729 /********************************************************************/
730 /*                      EC_KEY functions                            */
731 /********************************************************************/
732 
733 typedef struct ec_key_st EC_KEY;
734 typedef struct ec_key_method_st EC_KEY_METHOD;
735 
736 /* some values for the encoding_flag */
737 #define EC_PKEY_NO_PARAMETERS	0x001
738 #define EC_PKEY_NO_PUBKEY	0x002
739 
740 /* some values for the flags field */
741 #define EC_FLAG_NON_FIPS_ALLOW	0x1
742 #define EC_FLAG_FIPS_CHECKED	0x2
743 #define EC_FLAG_COFACTOR_ECDH	0x1000
744 
745 /** Creates a new EC_KEY object.
746  *  \return EC_KEY object or NULL if an error occurred.
747  */
748 EC_KEY *EC_KEY_new(void);
749 
750 int EC_KEY_get_flags(const EC_KEY *key);
751 
752 void EC_KEY_set_flags(EC_KEY *key, int flags);
753 
754 void EC_KEY_clear_flags(EC_KEY *key, int flags);
755 
756 /** Creates a new EC_KEY object using a named curve as underlying
757  *  EC_GROUP object.
758  *  \param  nid  NID of the named curve.
759  *  \return EC_KEY object or NULL if an error occurred.
760  */
761 EC_KEY *EC_KEY_new_by_curve_name(int nid);
762 
763 /** Frees a EC_KEY object.
764  *  \param  key  EC_KEY object to be freed.
765  */
766 void EC_KEY_free(EC_KEY *key);
767 
768 /** Copies a EC_KEY object.
769  *  \param  dst  destination EC_KEY object
770  *  \param  src  src EC_KEY object
771  *  \return dst or NULL if an error occurred.
772  */
773 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
774 
775 /** Creates a new EC_KEY object and copies the content from src to it.
776  *  \param  src  the source EC_KEY object
777  *  \return newly created EC_KEY object or NULL if an error occurred.
778  */
779 EC_KEY *EC_KEY_dup(const EC_KEY *src);
780 
781 /** Increases the internal reference count of a EC_KEY object.
782  *  \param  key  EC_KEY object
783  *  \return 1 on success and 0 if an error occurred.
784  */
785 int EC_KEY_up_ref(EC_KEY *key);
786 
787 /** Returns the EC_GROUP object of a EC_KEY object
788  *  \param  key  EC_KEY object
789  *  \return the EC_GROUP object (possibly NULL).
790  */
791 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
792 
793 /** Sets the EC_GROUP of a EC_KEY object.
794  *  \param  key    EC_KEY object
795  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
796  *                 object will use an own copy of the EC_GROUP).
797  *  \return 1 on success and 0 if an error occurred.
798  */
799 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
800 
801 /** Returns the private key of a EC_KEY object.
802  *  \param  key  EC_KEY object
803  *  \return a BIGNUM with the private key (possibly NULL).
804  */
805 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
806 
807 /** Sets the private key of a EC_KEY object.
808  *  \param  key  EC_KEY object
809  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
810  *               will use an own copy of the BIGNUM).
811  *  \return 1 on success and 0 if an error occurred.
812  */
813 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
814 
815 /** Returns the public key of a EC_KEY object.
816  *  \param  key  the EC_KEY object
817  *  \return a EC_POINT object with the public key (possibly NULL)
818  */
819 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
820 
821 /** Sets the public key of a EC_KEY object.
822  *  \param  key  EC_KEY object
823  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
824  *               will use an own copy of the EC_POINT object).
825  *  \return 1 on success and 0 if an error occurred.
826  */
827 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
828 
829 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
830 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
831 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
832 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
833 /* functions to set/get method specific data  */
834 void *EC_KEY_get_key_method_data(EC_KEY *key,
835 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
836 /** Sets the key method data of an EC_KEY object, if none has yet been set.
837  *  \param  key              EC_KEY object
838  *  \param  data             opaque data to install.
839  *  \param  dup_func         a function that duplicates |data|.
840  *  \param  free_func        a function that frees |data|.
841  *  \param  clear_free_func  a function that wipes and frees |data|.
842  *  \return the previously set data pointer, or NULL if |data| was inserted.
843  */
844 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
845 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
846 /* wrapper functions for the underlying EC_GROUP object */
847 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
848 
849 /** Creates a table of pre-computed multiples of the generator to
850  *  accelerate further EC_KEY operations.
851  *  \param  key  EC_KEY object
852  *  \param  ctx  BN_CTX object (optional)
853  *  \return 1 on success and 0 if an error occurred.
854  */
855 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
856 
857 /** Creates a new ec private (and optional a new public) key.
858  *  \param  key  EC_KEY object
859  *  \return 1 on success and 0 if an error occurred.
860  */
861 int EC_KEY_generate_key(EC_KEY *key);
862 
863 /** Verifies that a private and/or public key is valid.
864  *  \param  key  the EC_KEY object
865  *  \return 1 on success and 0 otherwise.
866  */
867 int EC_KEY_check_key(const EC_KEY *key);
868 
869 /** Sets a public key from affine coordindates performing
870  *  neccessary NIST PKV tests.
871  *  \param  key  the EC_KEY object
872  *  \param  x    public key x coordinate
873  *  \param  y    public key y coordinate
874  *  \return 1 on success and 0 otherwise.
875  */
876 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
877 
878 
879 /********************************************************************/
880 /*        de- and encoding functions for SEC1 ECPrivateKey          */
881 /********************************************************************/
882 
883 /** Decodes a private key from a memory buffer.
884  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
885  *  \param  in   pointer to memory with the DER encoded private key
886  *  \param  len  length of the DER encoded private key
887  *  \return the decoded private key or NULL if an error occurred.
888  */
889 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
890 
891 /** Encodes a private key object and stores the result in a buffer.
892  *  \param  key  the EC_KEY object to encode
893  *  \param  out  the buffer for the result (if NULL the function returns number
894  *               of bytes needed).
895  *  \return 1 on success and 0 if an error occurred.
896  */
897 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
898 
899 
900 /********************************************************************/
901 /*        de- and encoding functions for EC parameters              */
902 /********************************************************************/
903 
904 /** Decodes ec parameter from a memory buffer.
905  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
906  *  \param  in   pointer to memory with the DER encoded ec parameters
907  *  \param  len  length of the DER encoded ec parameters
908  *  \return a EC_KEY object with the decoded parameters or NULL if an error
909  *          occurred.
910  */
911 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
912 
913 /** Encodes ec parameter and stores the result in a buffer.
914  *  \param  key  the EC_KEY object with ec paramters to encode
915  *  \param  out  the buffer for the result (if NULL the function returns number
916  *               of bytes needed).
917  *  \return 1 on success and 0 if an error occurred.
918  */
919 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
920 
921 
922 /********************************************************************/
923 /*         de- and encoding functions for EC public key             */
924 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
925 /********************************************************************/
926 
927 /** Decodes a ec public key from a octet string.
928  *  \param  key  a pointer to a EC_KEY object which should be used
929  *  \param  in   memory buffer with the encoded public key
930  *  \param  len  length of the encoded public key
931  *  \return EC_KEY object with decoded public key or NULL if an error
932  *          occurred.
933  */
934 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
935 
936 /** Encodes a ec public key in an octet string.
937  *  \param  key  the EC_KEY object with the public key
938  *  \param  out  the buffer for the result (if NULL the function returns number
939  *               of bytes needed).
940  *  \return 1 on success and 0 if an error occurred
941  */
942 int i2o_ECPublicKey(const EC_KEY *key, unsigned char **out);
943 
944 #ifndef OPENSSL_NO_BIO
945 /** Prints out the ec parameters on human readable form.
946  *  \param  bp   BIO object to which the information is printed
947  *  \param  key  EC_KEY object
948  *  \return 1 on success and 0 if an error occurred
949  */
950 int	ECParameters_print(BIO *bp, const EC_KEY *key);
951 
952 /** Prints out the contents of a EC_KEY object
953  *  \param  bp   BIO object to which the information is printed
954  *  \param  key  EC_KEY object
955  *  \param  off  line offset
956  *  \return 1 on success and 0 if an error occurred
957  */
958 int	EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
959 
960 #endif
961 /** Prints out the ec parameters on human readable form.
962  *  \param  fp   file descriptor to which the information is printed
963  *  \param  key  EC_KEY object
964  *  \return 1 on success and 0 if an error occurred
965  */
966 int	ECParameters_print_fp(FILE *fp, const EC_KEY *key);
967 
968 /** Prints out the contents of a EC_KEY object
969  *  \param  fp   file descriptor to which the information is printed
970  *  \param  key  EC_KEY object
971  *  \param  off  line offset
972  *  \return 1 on success and 0 if an error occurred
973  */
974 int	EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
975 
976 #define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
977     CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
978 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
979 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
980 
981 const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
982 const EC_KEY_METHOD *EC_KEY_get_default_method(void);
983 void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
984 const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
985 int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
986 EC_KEY *EC_KEY_new_method(ENGINE *engine);
987 EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
988 void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
989 void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
990     int (*init)(EC_KEY *key),
991     void (*finish)(EC_KEY *key),
992     int (*copy)(EC_KEY *dest, const EC_KEY *src),
993     int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
994     int (*set_private)(EC_KEY *key, const BIGNUM *priv_key),
995     int (*set_public)(EC_KEY *key, const EC_POINT *pub_key));
996 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
997     int (*keygen)(EC_KEY *key));
998 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
999     int (*ckey)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh,
1000 	void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)));
1001 void EC_KEY_METHOD_get_init(const EC_KEY_METHOD *meth,
1002     int (**pinit)(EC_KEY *key),
1003     void (**pfinish)(EC_KEY *key),
1004     int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
1005     int (**pset_group)(EC_KEY *key, const EC_GROUP *grp),
1006     int (**pset_private)(EC_KEY *key, const BIGNUM *priv_key),
1007     int (**pset_public)(EC_KEY *key, const EC_POINT *pub_key));
1008 void EC_KEY_METHOD_get_keygen(const EC_KEY_METHOD *meth,
1009     int (**pkeygen)(EC_KEY *key));
1010 void EC_KEY_METHOD_get_compute_key(const EC_KEY_METHOD *meth,
1011     int (**pck)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh,
1012 	void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)));
1013 
1014 EC_KEY *ECParameters_dup(EC_KEY *key);
1015 
1016 #ifndef __cplusplus
1017 #if defined(__SUNPRO_C)
1018 #  if __SUNPRO_C >= 0x520
1019 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
1020 #  endif
1021 # endif
1022 #endif
1023 
1024 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
1025 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1026 	    EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1027 	    EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1028 
1029 #define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1030 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1031 	    EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1032 	    EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1033 
1034 #define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1035 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1036 	    EVP_PKEY_OP_DERIVE, \
1037 	    EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1038 
1039 #define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1040 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1041 	    EVP_PKEY_OP_DERIVE, \
1042 	    EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1043 
1044 #define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1045 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1046 	    EVP_PKEY_OP_DERIVE, \
1047 	    EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1048 
1049 #define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1050 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1051 	    EVP_PKEY_OP_DERIVE, \
1052 	    EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1053 
1054 #define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1055 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1056 	    EVP_PKEY_OP_DERIVE, \
1057 	    EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)(md))
1058 
1059 #define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1060 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1061 	    EVP_PKEY_OP_DERIVE, \
1062 	    EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)(pmd))
1063 
1064 #define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1065 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1066 	    EVP_PKEY_OP_DERIVE, \
1067 	    EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1068 
1069 #define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1070 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1071 	    EVP_PKEY_OP_DERIVE, \
1072 	    EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, \
1073 	    (void *)(plen))
1074 
1075 #define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1076 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1077 	    EVP_PKEY_OP_DERIVE, \
1078 	    EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)(p))
1079 
1080 #define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1081 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1082 	    EVP_PKEY_OP_DERIVE, \
1083 	    EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)(p))
1084 
1085 /* SM2 will skip the operation check so no need to pass operation here */
1086 #define EVP_PKEY_CTX_set1_id(ctx, id, id_len) \
1087 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1088 	    EVP_PKEY_CTRL_SET1_ID, (int)id_len, (void*)(id))
1089 
1090 #define EVP_PKEY_CTX_get1_id(ctx, id) \
1091 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1092 	    EVP_PKEY_CTRL_GET1_ID, 0, (void*)(id))
1093 
1094 #define EVP_PKEY_CTX_get1_id_len(ctx, id_len) \
1095 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1096 	    EVP_PKEY_CTRL_GET1_ID_LEN, 0, (void*)(id_len))
1097 
1098 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID		(EVP_PKEY_ALG_CTRL + 1)
1099 #define EVP_PKEY_CTRL_EC_PARAM_ENC			(EVP_PKEY_ALG_CTRL + 2)
1100 #define EVP_PKEY_CTRL_EC_ECDH_COFACTOR			(EVP_PKEY_ALG_CTRL + 3)
1101 #define EVP_PKEY_CTRL_EC_KDF_TYPE			(EVP_PKEY_ALG_CTRL + 4)
1102 #define EVP_PKEY_CTRL_EC_KDF_MD				(EVP_PKEY_ALG_CTRL + 5)
1103 #define EVP_PKEY_CTRL_GET_EC_KDF_MD			(EVP_PKEY_ALG_CTRL + 6)
1104 #define EVP_PKEY_CTRL_EC_KDF_OUTLEN			(EVP_PKEY_ALG_CTRL + 7)
1105 #define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN			(EVP_PKEY_ALG_CTRL + 8)
1106 #define EVP_PKEY_CTRL_EC_KDF_UKM			(EVP_PKEY_ALG_CTRL + 9)
1107 #define EVP_PKEY_CTRL_GET_EC_KDF_UKM			(EVP_PKEY_ALG_CTRL + 10)
1108 #define EVP_PKEY_CTRL_SET1_ID				(EVP_PKEY_ALG_CTRL + 11)
1109 #define EVP_PKEY_CTRL_GET1_ID				(EVP_PKEY_ALG_CTRL + 12)
1110 #define EVP_PKEY_CTRL_GET1_ID_LEN			(EVP_PKEY_ALG_CTRL + 13)
1111 
1112 /* KDF types */
1113 #define EVP_PKEY_ECDH_KDF_NONE				1
1114 #define EVP_PKEY_ECDH_KDF_X9_63				2
1115 
1116 /* BEGIN ERROR CODES */
1117 /* The following lines are auto generated by the script mkerr.pl. Any changes
1118  * made after this point may be overwritten when the script is next run.
1119  */
1120 void ERR_load_EC_strings(void);
1121 
1122 /* Error codes for the EC functions. */
1123 
1124 /* Function codes. */
1125 #define EC_F_BN_TO_FELEM				 224
1126 #define EC_F_COMPUTE_WNAF				 143
1127 #define EC_F_D2I_ECPARAMETERS				 144
1128 #define EC_F_D2I_ECPKPARAMETERS				 145
1129 #define EC_F_D2I_ECPRIVATEKEY				 146
1130 #define EC_F_DO_EC_KEY_PRINT				 221
1131 #define EC_F_ECKEY_PARAM2TYPE				 223
1132 #define EC_F_ECKEY_PARAM_DECODE				 212
1133 #define EC_F_ECKEY_PRIV_DECODE				 213
1134 #define EC_F_ECKEY_PRIV_ENCODE				 214
1135 #define EC_F_ECKEY_PUB_DECODE				 215
1136 #define EC_F_ECKEY_PUB_ENCODE				 216
1137 #define EC_F_ECKEY_TYPE2PARAM				 220
1138 #define EC_F_ECPARAMETERS_PRINT				 147
1139 #define EC_F_ECPARAMETERS_PRINT_FP			 148
1140 #define EC_F_ECPKPARAMETERS_PRINT			 149
1141 #define EC_F_ECPKPARAMETERS_PRINT_FP			 150
1142 #define EC_F_ECP_NIST_MOD_192				 203
1143 #define EC_F_ECP_NIST_MOD_224				 204
1144 #define EC_F_ECP_NIST_MOD_256				 205
1145 #define EC_F_ECP_NIST_MOD_521				 206
1146 #define EC_F_ECP_NISTZ256_GET_AFFINE			 240
1147 #define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE		 243
1148 #define EC_F_ECP_NISTZ256_POINTS_MUL			 241
1149 #define EC_F_ECP_NISTZ256_PRE_COMP_NEW			 244
1150 #define EC_F_ECP_NISTZ256_SET_WORDS			 245
1151 #define EC_F_ECP_NISTZ256_WINDOWED_MUL			 242
1152 #define EC_F_EC_ASN1_GROUP2CURVE			 153
1153 #define EC_F_EC_ASN1_GROUP2FIELDID			 154
1154 #define EC_F_EC_ASN1_GROUP2PARAMETERS			 155
1155 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS			 156
1156 #define EC_F_EC_ASN1_PARAMETERS2GROUP			 157
1157 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP			 158
1158 #define EC_F_EC_EX_DATA_SET_DATA			 211
1159 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY		 208
1160 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT	 159
1161 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE		 195
1162 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT			 160
1163 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT			 161
1164 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1165 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1166 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES	 164
1167 #define EC_F_EC_GFP_MONT_FIELD_DECODE			 133
1168 #define EC_F_EC_GFP_MONT_FIELD_ENCODE			 134
1169 #define EC_F_EC_GFP_MONT_FIELD_MUL			 131
1170 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE		 209
1171 #define EC_F_EC_GFP_MONT_FIELD_SQR			 132
1172 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE		 189
1173 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP		 135
1174 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE		 225
1175 #define EC_F_EC_GFP_NISTP224_POINTS_MUL			 228
1176 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1177 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE		 230
1178 #define EC_F_EC_GFP_NISTP256_POINTS_MUL			 231
1179 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1180 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE		 233
1181 #define EC_F_EC_GFP_NISTP521_POINTS_MUL			 234
1182 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1183 #define EC_F_EC_GFP_NIST_FIELD_MUL			 200
1184 #define EC_F_EC_GFP_NIST_FIELD_SQR			 201
1185 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE		 202
1186 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT	 165
1187 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE		 166
1188 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP		 100
1189 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR		 101
1190 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE			 102
1191 #define EC_F_EC_GFP_SIMPLE_OCT2POINT			 103
1192 #define EC_F_EC_GFP_SIMPLE_POINT2OCT			 104
1193 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE		 137
1194 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES	 167
1195 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1196 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES	 168
1197 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1198 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES	 169
1199 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1200 #define EC_F_EC_GROUP_CHECK				 170
1201 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT		 171
1202 #define EC_F_EC_GROUP_COPY				 106
1203 #define EC_F_EC_GROUP_GET0_GENERATOR			 139
1204 #define EC_F_EC_GROUP_GET_COFACTOR			 140
1205 #define EC_F_EC_GROUP_GET_CURVE_GF2M			 172
1206 #define EC_F_EC_GROUP_GET_CURVE_GFP			 130
1207 #define EC_F_EC_GROUP_GET_DEGREE			 173
1208 #define EC_F_EC_GROUP_GET_ORDER				 141
1209 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS		 193
1210 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS		 194
1211 #define EC_F_EC_GROUP_NEW				 108
1212 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME			 174
1213 #define EC_F_EC_GROUP_NEW_FROM_DATA			 175
1214 #define EC_F_EC_GROUP_PRECOMPUTE_MULT			 142
1215 #define EC_F_EC_GROUP_SET_CURVE_GF2M			 176
1216 #define EC_F_EC_GROUP_SET_CURVE_GFP			 109
1217 #define EC_F_EC_GROUP_SET_EXTRA_DATA			 110
1218 #define EC_F_EC_GROUP_SET_GENERATOR			 111
1219 #define EC_F_EC_KEY_CHECK_KEY				 177
1220 #define EC_F_EC_KEY_COPY				 178
1221 #define EC_F_EC_KEY_GENERATE_KEY			 179
1222 #define EC_F_EC_KEY_NEW					 182
1223 #define EC_F_EC_KEY_PRINT				 180
1224 #define EC_F_EC_KEY_PRINT_FP				 181
1225 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES	 229
1226 #define EC_F_EC_POINTS_MAKE_AFFINE			 136
1227 #define EC_F_EC_POINT_ADD				 112
1228 #define EC_F_EC_POINT_CMP				 113
1229 #define EC_F_EC_POINT_COPY				 114
1230 #define EC_F_EC_POINT_DBL				 115
1231 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M	 183
1232 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP	 116
1233 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP	 117
1234 #define EC_F_EC_POINT_INVERT				 210
1235 #define EC_F_EC_POINT_IS_AT_INFINITY			 118
1236 #define EC_F_EC_POINT_IS_ON_CURVE			 119
1237 #define EC_F_EC_POINT_MAKE_AFFINE			 120
1238 #define EC_F_EC_POINT_MUL				 184
1239 #define EC_F_EC_POINT_NEW				 121
1240 #define EC_F_EC_POINT_OCT2POINT				 122
1241 #define EC_F_EC_POINT_POINT2OCT				 123
1242 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M	 185
1243 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP	 124
1244 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M	 186
1245 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP	 125
1246 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP	 126
1247 #define EC_F_EC_POINT_SET_TO_INFINITY			 127
1248 #define EC_F_EC_PRE_COMP_DUP				 207
1249 #define EC_F_EC_PRE_COMP_NEW				 196
1250 #define EC_F_EC_WNAF_MUL				 187
1251 #define EC_F_EC_WNAF_PRECOMPUTE_MULT			 188
1252 #define EC_F_I2D_ECPARAMETERS				 190
1253 #define EC_F_I2D_ECPKPARAMETERS				 191
1254 #define EC_F_I2D_ECPRIVATEKEY				 192
1255 #define EC_F_I2O_ECPUBLICKEY				 151
1256 #define EC_F_NISTP224_PRE_COMP_NEW			 227
1257 #define EC_F_NISTP256_PRE_COMP_NEW			 236
1258 #define EC_F_NISTP521_PRE_COMP_NEW			 237
1259 #define EC_F_O2I_ECPUBLICKEY				 152
1260 #define EC_F_OLD_EC_PRIV_DECODE				 222
1261 #define EC_F_PKEY_EC_CTRL				 197
1262 #define EC_F_PKEY_EC_CTRL_STR				 198
1263 #define EC_F_PKEY_EC_DERIVE				 217
1264 #define EC_F_PKEY_EC_KEYGEN				 199
1265 #define EC_F_PKEY_EC_PARAMGEN				 219
1266 #define EC_F_PKEY_EC_SIGN				 218
1267 
1268 /* Reason codes. */
1269 #define EC_R_ASN1_ERROR					 115
1270 #define EC_R_ASN1_UNKNOWN_FIELD				 116
1271 #define EC_R_BIGNUM_OUT_OF_RANGE			 144
1272 #define EC_R_BUFFER_TOO_SMALL				 100
1273 #define EC_R_COORDINATES_OUT_OF_RANGE			 146
1274 #define EC_R_D2I_ECPKPARAMETERS_FAILURE			 117
1275 #define EC_R_DECODE_ERROR				 142
1276 #define EC_R_DISCRIMINANT_IS_ZERO			 118
1277 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE		 119
1278 #define EC_R_FIELD_TOO_LARGE				 143
1279 #define EC_R_GF2M_NOT_SUPPORTED				 147
1280 #define EC_R_GROUP2PKPARAMETERS_FAILURE			 120
1281 #define EC_R_I2D_ECPKPARAMETERS_FAILURE			 121
1282 #define EC_R_INCOMPATIBLE_OBJECTS			 101
1283 #define EC_R_INVALID_ARGUMENT				 112
1284 #define EC_R_INVALID_COMPRESSED_POINT			 110
1285 #define EC_R_INVALID_COMPRESSION_BIT			 109
1286 #define EC_R_INVALID_CURVE				 141
1287 #define EC_R_INVALID_DIGEST				 151
1288 #define EC_R_INVALID_DIGEST_TYPE			 138
1289 #define EC_R_INVALID_ENCODING				 102
1290 #define EC_R_INVALID_FIELD				 103
1291 #define EC_R_INVALID_FORM				 104
1292 #define EC_R_INVALID_GROUP_ORDER			 122
1293 #define EC_R_INVALID_PENTANOMIAL_BASIS			 132
1294 #define EC_R_INVALID_PRIVATE_KEY			 123
1295 #define EC_R_INVALID_TRINOMIAL_BASIS			 137
1296 #define EC_R_KDF_PARAMETER_ERROR			 148
1297 #define EC_R_KEYS_NOT_SET				 140
1298 #define EC_R_MISSING_PARAMETERS				 124
1299 #define EC_R_MISSING_PRIVATE_KEY			 125
1300 #define EC_R_NOT_A_NIST_PRIME				 135
1301 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME			 136
1302 #define EC_R_NOT_IMPLEMENTED				 126
1303 #define EC_R_NOT_INITIALIZED				 111
1304 #define EC_R_NO_FIELD_MOD				 133
1305 #define EC_R_NO_PARAMETERS_SET				 139
1306 #define EC_R_PASSED_NULL_PARAMETER			 134
1307 #define EC_R_PEER_KEY_ERROR				 149
1308 #define EC_R_PKPARAMETERS2GROUP_FAILURE			 127
1309 #define EC_R_POINT_AT_INFINITY				 106
1310 #define EC_R_POINT_IS_NOT_ON_CURVE			 107
1311 #define EC_R_SHARED_INFO_ERROR				 150
1312 #define EC_R_SLOT_FULL					 108
1313 #define EC_R_UNDEFINED_GENERATOR			 113
1314 #define EC_R_UNDEFINED_ORDER				 128
1315 #define EC_R_UNKNOWN_COFACTOR				 164
1316 #define EC_R_UNKNOWN_GROUP				 129
1317 #define EC_R_UNKNOWN_ORDER				 114
1318 #define EC_R_UNSUPPORTED_FIELD				 131
1319 #define EC_R_WRONG_CURVE_PARAMETERS			 145
1320 #define EC_R_WRONG_ORDER				 130
1321 
1322 #ifdef  __cplusplus
1323 }
1324 #endif
1325 #endif
1326