xref: /dragonfly/crypto/libressl/include/openssl/ec.h (revision cca6fc52)
1 /* $OpenBSD: ec.h,v 1.18 2019/09/29 10:09:09 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 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
284  *  \param  group  EC_GROUP object
285  *  \param  p      BIGNUM with the prime number
286  *  \param  a      BIGNUM with parameter a of the equation
287  *  \param  b      BIGNUM with parameter b of the equation
288  *  \param  ctx    BN_CTX object (optional)
289  *  \return 1 on success and 0 if an error occured
290  */
291 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
292 
293 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
294  *  \param  group  EC_GROUP object
295  *  \param  p      BIGNUM for the prime number
296  *  \param  a      BIGNUM for parameter a of the equation
297  *  \param  b      BIGNUM for parameter b of the equation
298  *  \param  ctx    BN_CTX object (optional)
299  *  \return 1 on success and 0 if an error occured
300  */
301 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
302 
303 #ifndef OPENSSL_NO_EC2M
304 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
305  *  \param  group  EC_GROUP object
306  *  \param  p      BIGNUM with the polynomial defining the underlying field
307  *  \param  a      BIGNUM with parameter a of the equation
308  *  \param  b      BIGNUM with parameter b of the equation
309  *  \param  ctx    BN_CTX object (optional)
310  *  \return 1 on success and 0 if an error occured
311  */
312 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
313 
314 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
315  *  \param  group  EC_GROUP object
316  *  \param  p      BIGNUM for the polynomial defining the underlying field
317  *  \param  a      BIGNUM for parameter a of the equation
318  *  \param  b      BIGNUM for parameter b of the equation
319  *  \param  ctx    BN_CTX object (optional)
320  *  \return 1 on success and 0 if an error occured
321  */
322 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
323 #endif
324 /** Returns the number of bits needed to represent a field element
325  *  \param  group  EC_GROUP object
326  *  \return number of bits needed to represent a field element
327  */
328 int EC_GROUP_get_degree(const EC_GROUP *group);
329 
330 /** Checks whether the parameter in the EC_GROUP define a valid ec group
331  *  \param  group  EC_GROUP object
332  *  \param  ctx    BN_CTX object (optional)
333  *  \return 1 if group is a valid ec group and 0 otherwise
334  */
335 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
336 
337 /** Checks whether the discriminant of the elliptic curve is zero or not
338  *  \param  group  EC_GROUP object
339  *  \param  ctx    BN_CTX object (optional)
340  *  \return 1 if the discriminant is not zero and 0 otherwise
341  */
342 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
343 
344 /** Compares two EC_GROUP objects
345  *  \param  a    first EC_GROUP object
346  *  \param  b    second EC_GROUP object
347  *  \param  ctx  BN_CTX object (optional)
348  *  \return 0 if both groups are equal and 1 otherwise
349  */
350 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
351 
352 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
353  * after choosing an appropriate EC_METHOD */
354 
355 /** Creates a new EC_GROUP object with the specified parameters defined
356  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
357  *  \param  p    BIGNUM with the prime number
358  *  \param  a    BIGNUM with the parameter a of the equation
359  *  \param  b    BIGNUM with the parameter b of the equation
360  *  \param  ctx  BN_CTX object (optional)
361  *  \return newly created EC_GROUP object with the specified parameters
362  */
363 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
364 #ifndef OPENSSL_NO_EC2M
365 /** Creates a new EC_GROUP object with the specified parameters defined
366  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
367  *  \param  p    BIGNUM with the polynomial defining the underlying field
368  *  \param  a    BIGNUM with the parameter a of the equation
369  *  \param  b    BIGNUM with the parameter b of the equation
370  *  \param  ctx  BN_CTX object (optional)
371  *  \return newly created EC_GROUP object with the specified parameters
372  */
373 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
374 #endif
375 /** Creates a EC_GROUP object with a curve specified by a NID
376  *  \param  nid  NID of the OID of the curve name
377  *  \return newly created EC_GROUP object with specified curve or NULL
378  *          if an error occurred
379  */
380 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
381 
382 
383 /********************************************************************/
384 /*               handling of internal curves                        */
385 /********************************************************************/
386 
387 typedef struct {
388 	int nid;
389 	const char *comment;
390 	} EC_builtin_curve;
391 
392 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
393  * of all available curves or zero if a error occurred.
394  * In case r ist not zero nitems EC_builtin_curve structures
395  * are filled with the data of the first nitems internal groups */
396 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
397 
398 const char *EC_curve_nid2nist(int nid);
399 int EC_curve_nist2nid(const char *name);
400 
401 /********************************************************************/
402 /*                    EC_POINT functions                            */
403 /********************************************************************/
404 
405 /** Creates a new EC_POINT object for the specified EC_GROUP
406  *  \param  group  EC_GROUP the underlying EC_GROUP object
407  *  \return newly created EC_POINT object or NULL if an error occurred
408  */
409 EC_POINT *EC_POINT_new(const EC_GROUP *group);
410 
411 /** Frees a EC_POINT object
412  *  \param  point  EC_POINT object to be freed
413  */
414 void EC_POINT_free(EC_POINT *point);
415 
416 /** Clears and frees a EC_POINT object
417  *  \param  point  EC_POINT object to be cleared and freed
418  */
419 void EC_POINT_clear_free(EC_POINT *point);
420 
421 /** Copies EC_POINT object
422  *  \param  dst  destination EC_POINT object
423  *  \param  src  source EC_POINT object
424  *  \return 1 on success and 0 if an error occured
425  */
426 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
427 
428 /** Creates a new EC_POINT object and copies the content of the supplied
429  *  EC_POINT
430  *  \param  src    source EC_POINT object
431  *  \param  group  underlying the EC_GROUP object
432  *  \return newly created EC_POINT object or NULL if an error occurred
433  */
434 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
435 
436 /** Returns the EC_METHOD used in EC_POINT object
437  *  \param  point  EC_POINT object
438  *  \return the EC_METHOD used
439  */
440 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
441 
442 /** Sets a point to infinity (neutral element)
443  *  \param  group  underlying EC_GROUP object
444  *  \param  point  EC_POINT to set to infinity
445  *  \return 1 on success and 0 if an error occured
446  */
447 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
448 
449 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
450  *  \param  group  underlying EC_GROUP object
451  *  \param  p      EC_POINT object
452  *  \param  x      BIGNUM with the x-coordinate
453  *  \param  y      BIGNUM with the y-coordinate
454  *  \param  z      BIGNUM with the z-coordinate
455  *  \param  ctx    BN_CTX object (optional)
456  *  \return 1 on success and 0 if an error occured
457  */
458 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
459 	const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
460 
461 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
462  *  \param  group  underlying EC_GROUP object
463  *  \param  p      EC_POINT object
464  *  \param  x      BIGNUM for the x-coordinate
465  *  \param  y      BIGNUM for the y-coordinate
466  *  \param  z      BIGNUM for the z-coordinate
467  *  \param  ctx    BN_CTX object (optional)
468  *  \return 1 on success and 0 if an error occured
469  */
470 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
471 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
472 
473 /** Sets the affine coordinates of a EC_POINT over GFp
474  *  \param  group  underlying EC_GROUP object
475  *  \param  p      EC_POINT object
476  *  \param  x      BIGNUM with the x-coordinate
477  *  \param  y      BIGNUM with the y-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_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
482 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
483 
484 /** Gets the affine 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  ctx    BN_CTX object (optional)
490  *  \return 1 on success and 0 if an error occured
491  */
492 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
493 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
494 
495 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
496  *  \param  group  underlying EC_GROUP object
497  *  \param  p      EC_POINT object
498  *  \param  x      BIGNUM with x-coordinate
499  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
500  *  \param  ctx    BN_CTX object (optional)
501  *  \return 1 on success and 0 if an error occured
502  */
503 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
504 	const BIGNUM *x, int y_bit, BN_CTX *ctx);
505 #ifndef OPENSSL_NO_EC2M
506 /** Sets the affine coordinates of a EC_POINT over GF2m
507  *  \param  group  underlying EC_GROUP object
508  *  \param  p      EC_POINT object
509  *  \param  x      BIGNUM with the x-coordinate
510  *  \param  y      BIGNUM with the y-coordinate
511  *  \param  ctx    BN_CTX object (optional)
512  *  \return 1 on success and 0 if an error occured
513  */
514 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
515 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
516 
517 /** Gets the affine coordinates of a EC_POINT over GF2m
518  *  \param  group  underlying EC_GROUP object
519  *  \param  p      EC_POINT object
520  *  \param  x      BIGNUM for the x-coordinate
521  *  \param  y      BIGNUM for the y-coordinate
522  *  \param  ctx    BN_CTX object (optional)
523  *  \return 1 on success and 0 if an error occured
524  */
525 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
526 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
527 
528 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
529  *  \param  group  underlying EC_GROUP object
530  *  \param  p      EC_POINT object
531  *  \param  x      BIGNUM with x-coordinate
532  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
533  *  \param  ctx    BN_CTX object (optional)
534  *  \return 1 on success and 0 if an error occured
535  */
536 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
537 	const BIGNUM *x, int y_bit, BN_CTX *ctx);
538 #endif
539 /** Encodes a EC_POINT object to a octet string
540  *  \param  group  underlying EC_GROUP object
541  *  \param  p      EC_POINT object
542  *  \param  form   point conversion form
543  *  \param  buf    memory buffer for the result. If NULL the function returns
544  *                 required buffer size.
545  *  \param  len    length of the memory buffer
546  *  \param  ctx    BN_CTX object (optional)
547  *  \return the length of the encoded octet string or 0 if an error occurred
548  */
549 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
550 	point_conversion_form_t form,
551         unsigned char *buf, size_t len, BN_CTX *ctx);
552 
553 /** Decodes a EC_POINT from a octet string
554  *  \param  group  underlying EC_GROUP object
555  *  \param  p      EC_POINT object
556  *  \param  buf    memory buffer with the encoded ec point
557  *  \param  len    length of the encoded ec point
558  *  \param  ctx    BN_CTX object (optional)
559  *  \return 1 on success and 0 if an error occured
560  */
561 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
562         const unsigned char *buf, size_t len, BN_CTX *ctx);
563 
564 /* other interfaces to point2oct/oct2point: */
565 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
566 	point_conversion_form_t form, BIGNUM *, BN_CTX *);
567 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
568 	EC_POINT *, BN_CTX *);
569 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
570 	point_conversion_form_t form, BN_CTX *);
571 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
572 	EC_POINT *, BN_CTX *);
573 
574 
575 /********************************************************************/
576 /*         functions for doing EC_POINT arithmetic                  */
577 /********************************************************************/
578 
579 /** Computes the sum of two EC_POINT
580  *  \param  group  underlying EC_GROUP object
581  *  \param  r      EC_POINT object for the result (r = a + b)
582  *  \param  a      EC_POINT object with the first summand
583  *  \param  b      EC_POINT object with the second summand
584  *  \param  ctx    BN_CTX object (optional)
585  *  \return 1 on success and 0 if an error occured
586  */
587 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
588 
589 /** Computes the double of a EC_POINT
590  *  \param  group  underlying EC_GROUP object
591  *  \param  r      EC_POINT object for the result (r = 2 * a)
592  *  \param  a      EC_POINT object
593  *  \param  ctx    BN_CTX object (optional)
594  *  \return 1 on success and 0 if an error occured
595  */
596 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
597 
598 /** Computes the inverse of a EC_POINT
599  *  \param  group  underlying EC_GROUP object
600  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
601  *  \param  ctx    BN_CTX object (optional)
602  *  \return 1 on success and 0 if an error occured
603  */
604 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
605 
606 /** Checks whether the point is the neutral element of the group
607  *  \param  group  the underlying EC_GROUP object
608  *  \param  p      EC_POINT object
609  *  \return 1 if the point is the neutral element and 0 otherwise
610  */
611 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
612 
613 /** Checks whether the point is on the curve
614  *  \param  group  underlying EC_GROUP object
615  *  \param  point  EC_POINT object to check
616  *  \param  ctx    BN_CTX object (optional)
617  *  \return 1 if point if on the curve and 0 otherwise
618  */
619 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
620 
621 /** Compares two EC_POINTs
622  *  \param  group  underlying EC_GROUP object
623  *  \param  a      first EC_POINT object
624  *  \param  b      second EC_POINT object
625  *  \param  ctx    BN_CTX object (optional)
626  *  \return 0 if both points are equal and a value != 0 otherwise
627  */
628 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
629 
630 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
631 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
632 
633 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
634  *  \param  group  underlying EC_GROUP object
635  *  \param  r      EC_POINT object for the result
636  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
637  *  \param  num    number futher summands
638  *  \param  p      array of size num of EC_POINT objects
639  *  \param  m      array of size num of BIGNUM objects
640  *  \param  ctx    BN_CTX object (optional)
641  *  \return 1 on success and 0 if an error occured
642  */
643 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);
644 
645 /** Computes r = generator * n + q * m
646  *  \param  group  underlying EC_GROUP object
647  *  \param  r      EC_POINT object for the result
648  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
649  *  \param  q      EC_POINT object with the first factor of the second summand
650  *  \param  m      BIGNUM with the second factor of the second summand
651  *  \param  ctx    BN_CTX object (optional)
652  *  \return 1 on success and 0 if an error occured
653  */
654 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
655 
656 /** Stores multiples of generator for faster point multiplication
657  *  \param  group  EC_GROUP object
658  *  \param  ctx    BN_CTX object (optional)
659  *  \return 1 on success and 0 if an error occured
660  */
661 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
662 
663 /** Reports whether a precomputation has been done
664  *  \param  group  EC_GROUP object
665  *  \return 1 if a pre-computation has been done and 0 otherwise
666  */
667 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
668 
669 
670 /********************************************************************/
671 /*                       ASN1 stuff                                 */
672 /********************************************************************/
673 
674 /* EC_GROUP_get_basis_type() returns the NID of the basis type
675  * used to represent the field elements */
676 int EC_GROUP_get_basis_type(const EC_GROUP *);
677 #ifndef OPENSSL_NO_EC2M
678 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
679 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
680 	unsigned int *k2, unsigned int *k3);
681 #endif
682 
683 #define OPENSSL_EC_NAMED_CURVE	0x001
684 
685 typedef struct ecpk_parameters_st ECPKPARAMETERS;
686 
687 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
688 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
689 
690 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
691 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
692 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
693                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
694 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
695 		(unsigned char *)(x))
696 
697 #ifndef OPENSSL_NO_BIO
698 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
699 #endif
700 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
701 
702 
703 /********************************************************************/
704 /*                      EC_KEY functions                            */
705 /********************************************************************/
706 
707 typedef struct ec_key_st EC_KEY;
708 typedef struct ec_key_method_st EC_KEY_METHOD;
709 
710 /* some values for the encoding_flag */
711 #define EC_PKEY_NO_PARAMETERS	0x001
712 #define EC_PKEY_NO_PUBKEY	0x002
713 
714 /* some values for the flags field */
715 #define EC_FLAG_NON_FIPS_ALLOW	0x1
716 #define EC_FLAG_FIPS_CHECKED	0x2
717 #define EC_FLAG_COFACTOR_ECDH	0x1000
718 
719 /** Creates a new EC_KEY object.
720  *  \return EC_KEY object or NULL if an error occurred.
721  */
722 EC_KEY *EC_KEY_new(void);
723 
724 int EC_KEY_get_flags(const EC_KEY *key);
725 
726 void EC_KEY_set_flags(EC_KEY *key, int flags);
727 
728 void EC_KEY_clear_flags(EC_KEY *key, int flags);
729 
730 /** Creates a new EC_KEY object using a named curve as underlying
731  *  EC_GROUP object.
732  *  \param  nid  NID of the named curve.
733  *  \return EC_KEY object or NULL if an error occurred.
734  */
735 EC_KEY *EC_KEY_new_by_curve_name(int nid);
736 
737 /** Frees a EC_KEY object.
738  *  \param  key  EC_KEY object to be freed.
739  */
740 void EC_KEY_free(EC_KEY *key);
741 
742 /** Copies a EC_KEY object.
743  *  \param  dst  destination EC_KEY object
744  *  \param  src  src EC_KEY object
745  *  \return dst or NULL if an error occurred.
746  */
747 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
748 
749 /** Creates a new EC_KEY object and copies the content from src to it.
750  *  \param  src  the source EC_KEY object
751  *  \return newly created EC_KEY object or NULL if an error occurred.
752  */
753 EC_KEY *EC_KEY_dup(const EC_KEY *src);
754 
755 /** Increases the internal reference count of a EC_KEY object.
756  *  \param  key  EC_KEY object
757  *  \return 1 on success and 0 if an error occurred.
758  */
759 int EC_KEY_up_ref(EC_KEY *key);
760 
761 /** Returns the EC_GROUP object of a EC_KEY object
762  *  \param  key  EC_KEY object
763  *  \return the EC_GROUP object (possibly NULL).
764  */
765 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
766 
767 /** Sets the EC_GROUP of a EC_KEY object.
768  *  \param  key    EC_KEY object
769  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
770  *                 object will use an own copy of the EC_GROUP).
771  *  \return 1 on success and 0 if an error occurred.
772  */
773 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
774 
775 /** Returns the private key of a EC_KEY object.
776  *  \param  key  EC_KEY object
777  *  \return a BIGNUM with the private key (possibly NULL).
778  */
779 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
780 
781 /** Sets the private key of a EC_KEY object.
782  *  \param  key  EC_KEY object
783  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
784  *               will use an own copy of the BIGNUM).
785  *  \return 1 on success and 0 if an error occurred.
786  */
787 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
788 
789 /** Returns the public key of a EC_KEY object.
790  *  \param  key  the EC_KEY object
791  *  \return a EC_POINT object with the public key (possibly NULL)
792  */
793 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
794 
795 /** Sets the public key of a EC_KEY object.
796  *  \param  key  EC_KEY object
797  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
798  *               will use an own copy of the EC_POINT object).
799  *  \return 1 on success and 0 if an error occurred.
800  */
801 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
802 
803 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
804 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
805 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
806 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
807 /* functions to set/get method specific data  */
808 void *EC_KEY_get_key_method_data(EC_KEY *key,
809 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
810 /** Sets the key method data of an EC_KEY object, if none has yet been set.
811  *  \param  key              EC_KEY object
812  *  \param  data             opaque data to install.
813  *  \param  dup_func         a function that duplicates |data|.
814  *  \param  free_func        a function that frees |data|.
815  *  \param  clear_free_func  a function that wipes and frees |data|.
816  *  \return the previously set data pointer, or NULL if |data| was inserted.
817  */
818 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
819 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
820 /* wrapper functions for the underlying EC_GROUP object */
821 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
822 
823 /** Creates a table of pre-computed multiples of the generator to
824  *  accelerate further EC_KEY operations.
825  *  \param  key  EC_KEY object
826  *  \param  ctx  BN_CTX object (optional)
827  *  \return 1 on success and 0 if an error occurred.
828  */
829 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
830 
831 /** Creates a new ec private (and optional a new public) key.
832  *  \param  key  EC_KEY object
833  *  \return 1 on success and 0 if an error occurred.
834  */
835 int EC_KEY_generate_key(EC_KEY *key);
836 
837 /** Verifies that a private and/or public key is valid.
838  *  \param  key  the EC_KEY object
839  *  \return 1 on success and 0 otherwise.
840  */
841 int EC_KEY_check_key(const EC_KEY *key);
842 
843 /** Sets a public key from affine coordindates performing
844  *  neccessary NIST PKV tests.
845  *  \param  key  the EC_KEY object
846  *  \param  x    public key x coordinate
847  *  \param  y    public key y coordinate
848  *  \return 1 on success and 0 otherwise.
849  */
850 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
851 
852 
853 /********************************************************************/
854 /*        de- and encoding functions for SEC1 ECPrivateKey          */
855 /********************************************************************/
856 
857 /** Decodes a private key from a memory buffer.
858  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
859  *  \param  in   pointer to memory with the DER encoded private key
860  *  \param  len  length of the DER encoded private key
861  *  \return the decoded private key or NULL if an error occurred.
862  */
863 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
864 
865 /** Encodes a private key object and stores the result in a buffer.
866  *  \param  key  the EC_KEY object to encode
867  *  \param  out  the buffer for the result (if NULL the function returns number
868  *               of bytes needed).
869  *  \return 1 on success and 0 if an error occurred.
870  */
871 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
872 
873 
874 /********************************************************************/
875 /*        de- and encoding functions for EC parameters              */
876 /********************************************************************/
877 
878 /** Decodes ec parameter from a memory buffer.
879  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
880  *  \param  in   pointer to memory with the DER encoded ec parameters
881  *  \param  len  length of the DER encoded ec parameters
882  *  \return a EC_KEY object with the decoded parameters or NULL if an error
883  *          occurred.
884  */
885 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
886 
887 /** Encodes ec parameter and stores the result in a buffer.
888  *  \param  key  the EC_KEY object with ec paramters to encode
889  *  \param  out  the buffer for the result (if NULL the function returns number
890  *               of bytes needed).
891  *  \return 1 on success and 0 if an error occurred.
892  */
893 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
894 
895 
896 /********************************************************************/
897 /*         de- and encoding functions for EC public key             */
898 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
899 /********************************************************************/
900 
901 /** Decodes a ec public key from a octet string.
902  *  \param  key  a pointer to a EC_KEY object which should be used
903  *  \param  in   memory buffer with the encoded public key
904  *  \param  len  length of the encoded public key
905  *  \return EC_KEY object with decoded public key or NULL if an error
906  *          occurred.
907  */
908 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
909 
910 /** Encodes a ec public key in an octet string.
911  *  \param  key  the EC_KEY object with the public key
912  *  \param  out  the buffer for the result (if NULL the function returns number
913  *               of bytes needed).
914  *  \return 1 on success and 0 if an error occurred
915  */
916 int i2o_ECPublicKey(const EC_KEY *key, unsigned char **out);
917 
918 #ifndef OPENSSL_NO_BIO
919 /** Prints out the ec parameters on human readable form.
920  *  \param  bp   BIO object to which the information is printed
921  *  \param  key  EC_KEY object
922  *  \return 1 on success and 0 if an error occurred
923  */
924 int	ECParameters_print(BIO *bp, const EC_KEY *key);
925 
926 /** Prints out the contents of a EC_KEY object
927  *  \param  bp   BIO object to which the information is printed
928  *  \param  key  EC_KEY object
929  *  \param  off  line offset
930  *  \return 1 on success and 0 if an error occurred
931  */
932 int	EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
933 
934 #endif
935 /** Prints out the ec parameters on human readable form.
936  *  \param  fp   file descriptor to which the information is printed
937  *  \param  key  EC_KEY object
938  *  \return 1 on success and 0 if an error occurred
939  */
940 int	ECParameters_print_fp(FILE *fp, const EC_KEY *key);
941 
942 /** Prints out the contents of a EC_KEY object
943  *  \param  fp   file descriptor to which the information is printed
944  *  \param  key  EC_KEY object
945  *  \param  off  line offset
946  *  \return 1 on success and 0 if an error occurred
947  */
948 int	EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
949 
950 #define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
951     CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
952 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
953 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
954 
955 const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
956 const EC_KEY_METHOD *EC_KEY_get_default_method(void);
957 void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
958 const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
959 int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
960 EC_KEY *EC_KEY_new_method(ENGINE *engine);
961 EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
962 void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
963 void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
964     int (*init)(EC_KEY *key),
965     void (*finish)(EC_KEY *key),
966     int (*copy)(EC_KEY *dest, const EC_KEY *src),
967     int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
968     int (*set_private)(EC_KEY *key, const BIGNUM *priv_key),
969     int (*set_public)(EC_KEY *key, const EC_POINT *pub_key));
970 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
971     int (*keygen)(EC_KEY *key));
972 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
973     int (*ckey)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh,
974 	void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)));
975 void EC_KEY_METHOD_get_init(const EC_KEY_METHOD *meth,
976     int (**pinit)(EC_KEY *key),
977     void (**pfinish)(EC_KEY *key),
978     int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
979     int (**pset_group)(EC_KEY *key, const EC_GROUP *grp),
980     int (**pset_private)(EC_KEY *key, const BIGNUM *priv_key),
981     int (**pset_public)(EC_KEY *key, const EC_POINT *pub_key));
982 void EC_KEY_METHOD_get_keygen(const EC_KEY_METHOD *meth,
983     int (**pkeygen)(EC_KEY *key));
984 void EC_KEY_METHOD_get_compute_key(const EC_KEY_METHOD *meth,
985     int (**pck)(void *out, size_t outlen, const EC_POINT *pub_key, EC_KEY *ecdh,
986 	void *(*KDF) (const void *in, size_t inlen, void *out, size_t *outlen)));
987 
988 EC_KEY *ECParameters_dup(EC_KEY *key);
989 
990 #ifndef __cplusplus
991 #if defined(__SUNPRO_C)
992 #  if __SUNPRO_C >= 0x520
993 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
994 #  endif
995 # endif
996 #endif
997 
998 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
999 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1000 	    EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1001 	    EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1002 
1003 #define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1004 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1005 	    EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1006 	    EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1007 
1008 #define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1009 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1010 	    EVP_PKEY_OP_DERIVE, \
1011 	    EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1012 
1013 #define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1014 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1015 	    EVP_PKEY_OP_DERIVE, \
1016 	    EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1017 
1018 #define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1019 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1020 	    EVP_PKEY_OP_DERIVE, \
1021 	    EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1022 
1023 #define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1024 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1025 	    EVP_PKEY_OP_DERIVE, \
1026 	    EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1027 
1028 #define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1029 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1030 	    EVP_PKEY_OP_DERIVE, \
1031 	    EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)(md))
1032 
1033 #define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1034 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1035 	    EVP_PKEY_OP_DERIVE, \
1036 	    EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)(pmd))
1037 
1038 #define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1039 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1040 	    EVP_PKEY_OP_DERIVE, \
1041 	    EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1042 
1043 #define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1044 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1045 	    EVP_PKEY_OP_DERIVE, \
1046 	    EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, \
1047 	    (void *)(plen))
1048 
1049 #define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1050 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1051 	    EVP_PKEY_OP_DERIVE, \
1052 	    EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)(p))
1053 
1054 #define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1055 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1056 	    EVP_PKEY_OP_DERIVE, \
1057 	    EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)(p))
1058 
1059 /* SM2 will skip the operation check so no need to pass operation here */
1060 #define EVP_PKEY_CTX_set1_id(ctx, id, id_len) \
1061 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1062 	    EVP_PKEY_CTRL_SET1_ID, (int)id_len, (void*)(id))
1063 
1064 #define EVP_PKEY_CTX_get1_id(ctx, id) \
1065 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1066 	    EVP_PKEY_CTRL_GET1_ID, 0, (void*)(id))
1067 
1068 #define EVP_PKEY_CTX_get1_id_len(ctx, id_len) \
1069 	EVP_PKEY_CTX_ctrl(ctx, -1, -1, \
1070 	    EVP_PKEY_CTRL_GET1_ID_LEN, 0, (void*)(id_len))
1071 
1072 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID		(EVP_PKEY_ALG_CTRL + 1)
1073 #define EVP_PKEY_CTRL_EC_PARAM_ENC			(EVP_PKEY_ALG_CTRL + 2)
1074 #define EVP_PKEY_CTRL_EC_ECDH_COFACTOR			(EVP_PKEY_ALG_CTRL + 3)
1075 #define EVP_PKEY_CTRL_EC_KDF_TYPE			(EVP_PKEY_ALG_CTRL + 4)
1076 #define EVP_PKEY_CTRL_EC_KDF_MD				(EVP_PKEY_ALG_CTRL + 5)
1077 #define EVP_PKEY_CTRL_GET_EC_KDF_MD			(EVP_PKEY_ALG_CTRL + 6)
1078 #define EVP_PKEY_CTRL_EC_KDF_OUTLEN			(EVP_PKEY_ALG_CTRL + 7)
1079 #define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN			(EVP_PKEY_ALG_CTRL + 8)
1080 #define EVP_PKEY_CTRL_EC_KDF_UKM			(EVP_PKEY_ALG_CTRL + 9)
1081 #define EVP_PKEY_CTRL_GET_EC_KDF_UKM			(EVP_PKEY_ALG_CTRL + 10)
1082 #define EVP_PKEY_CTRL_SET1_ID				(EVP_PKEY_ALG_CTRL + 11)
1083 #define EVP_PKEY_CTRL_GET1_ID				(EVP_PKEY_ALG_CTRL + 12)
1084 #define EVP_PKEY_CTRL_GET1_ID_LEN			(EVP_PKEY_ALG_CTRL + 13)
1085 
1086 /* KDF types */
1087 #define EVP_PKEY_ECDH_KDF_NONE				1
1088 #define EVP_PKEY_ECDH_KDF_X9_63				2
1089 
1090 /* BEGIN ERROR CODES */
1091 /* The following lines are auto generated by the script mkerr.pl. Any changes
1092  * made after this point may be overwritten when the script is next run.
1093  */
1094 void ERR_load_EC_strings(void);
1095 
1096 /* Error codes for the EC functions. */
1097 
1098 /* Function codes. */
1099 #define EC_F_BN_TO_FELEM				 224
1100 #define EC_F_COMPUTE_WNAF				 143
1101 #define EC_F_D2I_ECPARAMETERS				 144
1102 #define EC_F_D2I_ECPKPARAMETERS				 145
1103 #define EC_F_D2I_ECPRIVATEKEY				 146
1104 #define EC_F_DO_EC_KEY_PRINT				 221
1105 #define EC_F_ECKEY_PARAM2TYPE				 223
1106 #define EC_F_ECKEY_PARAM_DECODE				 212
1107 #define EC_F_ECKEY_PRIV_DECODE				 213
1108 #define EC_F_ECKEY_PRIV_ENCODE				 214
1109 #define EC_F_ECKEY_PUB_DECODE				 215
1110 #define EC_F_ECKEY_PUB_ENCODE				 216
1111 #define EC_F_ECKEY_TYPE2PARAM				 220
1112 #define EC_F_ECPARAMETERS_PRINT				 147
1113 #define EC_F_ECPARAMETERS_PRINT_FP			 148
1114 #define EC_F_ECPKPARAMETERS_PRINT			 149
1115 #define EC_F_ECPKPARAMETERS_PRINT_FP			 150
1116 #define EC_F_ECP_NIST_MOD_192				 203
1117 #define EC_F_ECP_NIST_MOD_224				 204
1118 #define EC_F_ECP_NIST_MOD_256				 205
1119 #define EC_F_ECP_NIST_MOD_521				 206
1120 #define EC_F_ECP_NISTZ256_GET_AFFINE			 240
1121 #define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE		 243
1122 #define EC_F_ECP_NISTZ256_POINTS_MUL			 241
1123 #define EC_F_ECP_NISTZ256_PRE_COMP_NEW			 244
1124 #define EC_F_ECP_NISTZ256_SET_WORDS			 245
1125 #define EC_F_ECP_NISTZ256_WINDOWED_MUL			 242
1126 #define EC_F_EC_ASN1_GROUP2CURVE			 153
1127 #define EC_F_EC_ASN1_GROUP2FIELDID			 154
1128 #define EC_F_EC_ASN1_GROUP2PARAMETERS			 155
1129 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS			 156
1130 #define EC_F_EC_ASN1_PARAMETERS2GROUP			 157
1131 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP			 158
1132 #define EC_F_EC_EX_DATA_SET_DATA			 211
1133 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY		 208
1134 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT	 159
1135 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE		 195
1136 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT			 160
1137 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT			 161
1138 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1139 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1140 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES	 164
1141 #define EC_F_EC_GFP_MONT_FIELD_DECODE			 133
1142 #define EC_F_EC_GFP_MONT_FIELD_ENCODE			 134
1143 #define EC_F_EC_GFP_MONT_FIELD_MUL			 131
1144 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE		 209
1145 #define EC_F_EC_GFP_MONT_FIELD_SQR			 132
1146 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE		 189
1147 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP		 135
1148 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE		 225
1149 #define EC_F_EC_GFP_NISTP224_POINTS_MUL			 228
1150 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1151 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE		 230
1152 #define EC_F_EC_GFP_NISTP256_POINTS_MUL			 231
1153 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1154 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE		 233
1155 #define EC_F_EC_GFP_NISTP521_POINTS_MUL			 234
1156 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1157 #define EC_F_EC_GFP_NIST_FIELD_MUL			 200
1158 #define EC_F_EC_GFP_NIST_FIELD_SQR			 201
1159 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE		 202
1160 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT	 165
1161 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE		 166
1162 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP		 100
1163 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR		 101
1164 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE			 102
1165 #define EC_F_EC_GFP_SIMPLE_OCT2POINT			 103
1166 #define EC_F_EC_GFP_SIMPLE_POINT2OCT			 104
1167 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE		 137
1168 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES	 167
1169 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1170 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES	 168
1171 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1172 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES	 169
1173 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1174 #define EC_F_EC_GROUP_CHECK				 170
1175 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT		 171
1176 #define EC_F_EC_GROUP_COPY				 106
1177 #define EC_F_EC_GROUP_GET0_GENERATOR			 139
1178 #define EC_F_EC_GROUP_GET_COFACTOR			 140
1179 #define EC_F_EC_GROUP_GET_CURVE_GF2M			 172
1180 #define EC_F_EC_GROUP_GET_CURVE_GFP			 130
1181 #define EC_F_EC_GROUP_GET_DEGREE			 173
1182 #define EC_F_EC_GROUP_GET_ORDER				 141
1183 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS		 193
1184 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS		 194
1185 #define EC_F_EC_GROUP_NEW				 108
1186 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME			 174
1187 #define EC_F_EC_GROUP_NEW_FROM_DATA			 175
1188 #define EC_F_EC_GROUP_PRECOMPUTE_MULT			 142
1189 #define EC_F_EC_GROUP_SET_CURVE_GF2M			 176
1190 #define EC_F_EC_GROUP_SET_CURVE_GFP			 109
1191 #define EC_F_EC_GROUP_SET_EXTRA_DATA			 110
1192 #define EC_F_EC_GROUP_SET_GENERATOR			 111
1193 #define EC_F_EC_KEY_CHECK_KEY				 177
1194 #define EC_F_EC_KEY_COPY				 178
1195 #define EC_F_EC_KEY_GENERATE_KEY			 179
1196 #define EC_F_EC_KEY_NEW					 182
1197 #define EC_F_EC_KEY_PRINT				 180
1198 #define EC_F_EC_KEY_PRINT_FP				 181
1199 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES	 229
1200 #define EC_F_EC_POINTS_MAKE_AFFINE			 136
1201 #define EC_F_EC_POINT_ADD				 112
1202 #define EC_F_EC_POINT_CMP				 113
1203 #define EC_F_EC_POINT_COPY				 114
1204 #define EC_F_EC_POINT_DBL				 115
1205 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M	 183
1206 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP	 116
1207 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP	 117
1208 #define EC_F_EC_POINT_INVERT				 210
1209 #define EC_F_EC_POINT_IS_AT_INFINITY			 118
1210 #define EC_F_EC_POINT_IS_ON_CURVE			 119
1211 #define EC_F_EC_POINT_MAKE_AFFINE			 120
1212 #define EC_F_EC_POINT_MUL				 184
1213 #define EC_F_EC_POINT_NEW				 121
1214 #define EC_F_EC_POINT_OCT2POINT				 122
1215 #define EC_F_EC_POINT_POINT2OCT				 123
1216 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M	 185
1217 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP	 124
1218 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M	 186
1219 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP	 125
1220 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP	 126
1221 #define EC_F_EC_POINT_SET_TO_INFINITY			 127
1222 #define EC_F_EC_PRE_COMP_DUP				 207
1223 #define EC_F_EC_PRE_COMP_NEW				 196
1224 #define EC_F_EC_WNAF_MUL				 187
1225 #define EC_F_EC_WNAF_PRECOMPUTE_MULT			 188
1226 #define EC_F_I2D_ECPARAMETERS				 190
1227 #define EC_F_I2D_ECPKPARAMETERS				 191
1228 #define EC_F_I2D_ECPRIVATEKEY				 192
1229 #define EC_F_I2O_ECPUBLICKEY				 151
1230 #define EC_F_NISTP224_PRE_COMP_NEW			 227
1231 #define EC_F_NISTP256_PRE_COMP_NEW			 236
1232 #define EC_F_NISTP521_PRE_COMP_NEW			 237
1233 #define EC_F_O2I_ECPUBLICKEY				 152
1234 #define EC_F_OLD_EC_PRIV_DECODE				 222
1235 #define EC_F_PKEY_EC_CTRL				 197
1236 #define EC_F_PKEY_EC_CTRL_STR				 198
1237 #define EC_F_PKEY_EC_DERIVE				 217
1238 #define EC_F_PKEY_EC_KEYGEN				 199
1239 #define EC_F_PKEY_EC_PARAMGEN				 219
1240 #define EC_F_PKEY_EC_SIGN				 218
1241 
1242 /* Reason codes. */
1243 #define EC_R_ASN1_ERROR					 115
1244 #define EC_R_ASN1_UNKNOWN_FIELD				 116
1245 #define EC_R_BIGNUM_OUT_OF_RANGE			 144
1246 #define EC_R_BUFFER_TOO_SMALL				 100
1247 #define EC_R_COORDINATES_OUT_OF_RANGE			 146
1248 #define EC_R_D2I_ECPKPARAMETERS_FAILURE			 117
1249 #define EC_R_DECODE_ERROR				 142
1250 #define EC_R_DISCRIMINANT_IS_ZERO			 118
1251 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE		 119
1252 #define EC_R_FIELD_TOO_LARGE				 143
1253 #define EC_R_GF2M_NOT_SUPPORTED				 147
1254 #define EC_R_GROUP2PKPARAMETERS_FAILURE			 120
1255 #define EC_R_I2D_ECPKPARAMETERS_FAILURE			 121
1256 #define EC_R_INCOMPATIBLE_OBJECTS			 101
1257 #define EC_R_INVALID_ARGUMENT				 112
1258 #define EC_R_INVALID_COMPRESSED_POINT			 110
1259 #define EC_R_INVALID_COMPRESSION_BIT			 109
1260 #define EC_R_INVALID_CURVE				 141
1261 #define EC_R_INVALID_DIGEST				 151
1262 #define EC_R_INVALID_DIGEST_TYPE			 138
1263 #define EC_R_INVALID_ENCODING				 102
1264 #define EC_R_INVALID_FIELD				 103
1265 #define EC_R_INVALID_FORM				 104
1266 #define EC_R_INVALID_GROUP_ORDER			 122
1267 #define EC_R_INVALID_PENTANOMIAL_BASIS			 132
1268 #define EC_R_INVALID_PRIVATE_KEY			 123
1269 #define EC_R_INVALID_TRINOMIAL_BASIS			 137
1270 #define EC_R_KDF_PARAMETER_ERROR			 148
1271 #define EC_R_KEYS_NOT_SET				 140
1272 #define EC_R_MISSING_PARAMETERS				 124
1273 #define EC_R_MISSING_PRIVATE_KEY			 125
1274 #define EC_R_NOT_A_NIST_PRIME				 135
1275 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME			 136
1276 #define EC_R_NOT_IMPLEMENTED				 126
1277 #define EC_R_NOT_INITIALIZED				 111
1278 #define EC_R_NO_FIELD_MOD				 133
1279 #define EC_R_NO_PARAMETERS_SET				 139
1280 #define EC_R_PASSED_NULL_PARAMETER			 134
1281 #define EC_R_PEER_KEY_ERROR				 149
1282 #define EC_R_PKPARAMETERS2GROUP_FAILURE			 127
1283 #define EC_R_POINT_AT_INFINITY				 106
1284 #define EC_R_POINT_IS_NOT_ON_CURVE			 107
1285 #define EC_R_SHARED_INFO_ERROR				 150
1286 #define EC_R_SLOT_FULL					 108
1287 #define EC_R_UNDEFINED_GENERATOR			 113
1288 #define EC_R_UNDEFINED_ORDER				 128
1289 #define EC_R_UNKNOWN_COFACTOR				 164
1290 #define EC_R_UNKNOWN_GROUP				 129
1291 #define EC_R_UNKNOWN_ORDER				 114
1292 #define EC_R_UNSUPPORTED_FIELD				 131
1293 #define EC_R_WRONG_CURVE_PARAMETERS			 145
1294 #define EC_R_WRONG_ORDER				 130
1295 
1296 #ifdef  __cplusplus
1297 }
1298 #endif
1299 #endif
1300