xref: /dragonfly/crypto/libressl/include/openssl/ec.h (revision f5b1c8a1)
1 /* $OpenBSD: ec.h,v 1.10 2015/06/20 13:26:08 jsing 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 
709 /* some values for the encoding_flag */
710 #define EC_PKEY_NO_PARAMETERS	0x001
711 #define EC_PKEY_NO_PUBKEY	0x002
712 
713 /* some values for the flags field */
714 #define EC_FLAG_NON_FIPS_ALLOW	0x1
715 #define EC_FLAG_FIPS_CHECKED	0x2
716 
717 /** Creates a new EC_KEY object.
718  *  \return EC_KEY object or NULL if an error occurred.
719  */
720 EC_KEY *EC_KEY_new(void);
721 
722 int EC_KEY_get_flags(const EC_KEY *key);
723 
724 void EC_KEY_set_flags(EC_KEY *key, int flags);
725 
726 void EC_KEY_clear_flags(EC_KEY *key, int flags);
727 
728 /** Creates a new EC_KEY object using a named curve as underlying
729  *  EC_GROUP object.
730  *  \param  nid  NID of the named curve.
731  *  \return EC_KEY object or NULL if an error occurred.
732  */
733 EC_KEY *EC_KEY_new_by_curve_name(int nid);
734 
735 /** Frees a EC_KEY object.
736  *  \param  key  EC_KEY object to be freed.
737  */
738 void EC_KEY_free(EC_KEY *key);
739 
740 /** Copies a EC_KEY object.
741  *  \param  dst  destination EC_KEY object
742  *  \param  src  src EC_KEY object
743  *  \return dst or NULL if an error occurred.
744  */
745 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
746 
747 /** Creates a new EC_KEY object and copies the content from src to it.
748  *  \param  src  the source EC_KEY object
749  *  \return newly created EC_KEY object or NULL if an error occurred.
750  */
751 EC_KEY *EC_KEY_dup(const EC_KEY *src);
752 
753 /** Increases the internal reference count of a EC_KEY object.
754  *  \param  key  EC_KEY object
755  *  \return 1 on success and 0 if an error occurred.
756  */
757 int EC_KEY_up_ref(EC_KEY *key);
758 
759 /** Returns the EC_GROUP object of a EC_KEY object
760  *  \param  key  EC_KEY object
761  *  \return the EC_GROUP object (possibly NULL).
762  */
763 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
764 
765 /** Sets the EC_GROUP of a EC_KEY object.
766  *  \param  key    EC_KEY object
767  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
768  *                 object will use an own copy of the EC_GROUP).
769  *  \return 1 on success and 0 if an error occurred.
770  */
771 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
772 
773 /** Returns the private key of a EC_KEY object.
774  *  \param  key  EC_KEY object
775  *  \return a BIGNUM with the private key (possibly NULL).
776  */
777 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
778 
779 /** Sets the private key of a EC_KEY object.
780  *  \param  key  EC_KEY object
781  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
782  *               will use an own copy of the BIGNUM).
783  *  \return 1 on success and 0 if an error occurred.
784  */
785 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
786 
787 /** Returns the public key of a EC_KEY object.
788  *  \param  key  the EC_KEY object
789  *  \return a EC_POINT object with the public key (possibly NULL)
790  */
791 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
792 
793 /** Sets the public key of a EC_KEY object.
794  *  \param  key  EC_KEY object
795  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
796  *               will use an own copy of the EC_POINT object).
797  *  \return 1 on success and 0 if an error occurred.
798  */
799 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
800 
801 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
802 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
803 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
804 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
805 /* functions to set/get method specific data  */
806 void *EC_KEY_get_key_method_data(EC_KEY *key,
807 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
808 /** Sets the key method data of an EC_KEY object, if none has yet been set.
809  *  \param  key              EC_KEY object
810  *  \param  data             opaque data to install.
811  *  \param  dup_func         a function that duplicates |data|.
812  *  \param  free_func        a function that frees |data|.
813  *  \param  clear_free_func  a function that wipes and frees |data|.
814  *  \return the previously set data pointer, or NULL if |data| was inserted.
815  */
816 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
817 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
818 /* wrapper functions for the underlying EC_GROUP object */
819 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
820 
821 /** Creates a table of pre-computed multiples of the generator to
822  *  accelerate further EC_KEY operations.
823  *  \param  key  EC_KEY object
824  *  \param  ctx  BN_CTX object (optional)
825  *  \return 1 on success and 0 if an error occurred.
826  */
827 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
828 
829 /** Creates a new ec private (and optional a new public) key.
830  *  \param  key  EC_KEY object
831  *  \return 1 on success and 0 if an error occurred.
832  */
833 int EC_KEY_generate_key(EC_KEY *key);
834 
835 /** Verifies that a private and/or public key is valid.
836  *  \param  key  the EC_KEY object
837  *  \return 1 on success and 0 otherwise.
838  */
839 int EC_KEY_check_key(const EC_KEY *key);
840 
841 /** Sets a public key from affine coordindates performing
842  *  neccessary NIST PKV tests.
843  *  \param  key  the EC_KEY object
844  *  \param  x    public key x coordinate
845  *  \param  y    public key y coordinate
846  *  \return 1 on success and 0 otherwise.
847  */
848 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
849 
850 
851 /********************************************************************/
852 /*        de- and encoding functions for SEC1 ECPrivateKey          */
853 /********************************************************************/
854 
855 /** Decodes a private key from a memory buffer.
856  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
857  *  \param  in   pointer to memory with the DER encoded private key
858  *  \param  len  length of the DER encoded private key
859  *  \return the decoded private key or NULL if an error occurred.
860  */
861 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
862 
863 /** Encodes a private key object and stores the result in a buffer.
864  *  \param  key  the EC_KEY object to encode
865  *  \param  out  the buffer for the result (if NULL the function returns number
866  *               of bytes needed).
867  *  \return 1 on success and 0 if an error occurred.
868  */
869 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
870 
871 
872 /********************************************************************/
873 /*        de- and encoding functions for EC parameters              */
874 /********************************************************************/
875 
876 /** Decodes ec parameter from a memory buffer.
877  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
878  *  \param  in   pointer to memory with the DER encoded ec parameters
879  *  \param  len  length of the DER encoded ec parameters
880  *  \return a EC_KEY object with the decoded parameters or NULL if an error
881  *          occurred.
882  */
883 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
884 
885 /** Encodes ec parameter and stores the result in a buffer.
886  *  \param  key  the EC_KEY object with ec paramters to encode
887  *  \param  out  the buffer for the result (if NULL the function returns number
888  *               of bytes needed).
889  *  \return 1 on success and 0 if an error occurred.
890  */
891 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
892 
893 
894 /********************************************************************/
895 /*         de- and encoding functions for EC public key             */
896 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
897 /********************************************************************/
898 
899 /** Decodes a ec public key from a octet string.
900  *  \param  key  a pointer to a EC_KEY object which should be used
901  *  \param  in   memory buffer with the encoded public key
902  *  \param  len  length of the encoded public key
903  *  \return EC_KEY object with decoded public key or NULL if an error
904  *          occurred.
905  */
906 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
907 
908 /** Encodes a ec public key in an octet string.
909  *  \param  key  the EC_KEY object with the public key
910  *  \param  out  the buffer for the result (if NULL the function returns number
911  *               of bytes needed).
912  *  \return 1 on success and 0 if an error occurred
913  */
914 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
915 
916 #ifndef OPENSSL_NO_BIO
917 /** Prints out the ec parameters on human readable form.
918  *  \param  bp   BIO object to which the information is printed
919  *  \param  key  EC_KEY object
920  *  \return 1 on success and 0 if an error occurred
921  */
922 int	ECParameters_print(BIO *bp, const EC_KEY *key);
923 
924 /** Prints out the contents of a EC_KEY object
925  *  \param  bp   BIO object to which the information is printed
926  *  \param  key  EC_KEY object
927  *  \param  off  line offset
928  *  \return 1 on success and 0 if an error occurred
929  */
930 int	EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
931 
932 #endif
933 /** Prints out the ec parameters on human readable form.
934  *  \param  fp   file descriptor to which the information is printed
935  *  \param  key  EC_KEY object
936  *  \return 1 on success and 0 if an error occurred
937  */
938 int	ECParameters_print_fp(FILE *fp, const EC_KEY *key);
939 
940 /** Prints out the contents of a EC_KEY object
941  *  \param  fp   file descriptor to which the information is printed
942  *  \param  key  EC_KEY object
943  *  \param  off  line offset
944  *  \return 1 on success and 0 if an error occurred
945  */
946 int	EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
947 
948 EC_KEY *ECParameters_dup(EC_KEY *key);
949 
950 #ifndef __cplusplus
951 #if defined(__SUNPRO_C)
952 #  if __SUNPRO_C >= 0x520
953 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
954 #  endif
955 # endif
956 #endif
957 
958 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
959 	EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
960 				EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
961 
962 
963 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID		(EVP_PKEY_ALG_CTRL + 1)
964 
965 /* BEGIN ERROR CODES */
966 /* The following lines are auto generated by the script mkerr.pl. Any changes
967  * made after this point may be overwritten when the script is next run.
968  */
969 void ERR_load_EC_strings(void);
970 
971 /* Error codes for the EC functions. */
972 
973 /* Function codes. */
974 #define EC_F_BN_TO_FELEM				 224
975 #define EC_F_COMPUTE_WNAF				 143
976 #define EC_F_D2I_ECPARAMETERS				 144
977 #define EC_F_D2I_ECPKPARAMETERS				 145
978 #define EC_F_D2I_ECPRIVATEKEY				 146
979 #define EC_F_DO_EC_KEY_PRINT				 221
980 #define EC_F_ECKEY_PARAM2TYPE				 223
981 #define EC_F_ECKEY_PARAM_DECODE				 212
982 #define EC_F_ECKEY_PRIV_DECODE				 213
983 #define EC_F_ECKEY_PRIV_ENCODE				 214
984 #define EC_F_ECKEY_PUB_DECODE				 215
985 #define EC_F_ECKEY_PUB_ENCODE				 216
986 #define EC_F_ECKEY_TYPE2PARAM				 220
987 #define EC_F_ECPARAMETERS_PRINT				 147
988 #define EC_F_ECPARAMETERS_PRINT_FP			 148
989 #define EC_F_ECPKPARAMETERS_PRINT			 149
990 #define EC_F_ECPKPARAMETERS_PRINT_FP			 150
991 #define EC_F_ECP_NIST_MOD_192				 203
992 #define EC_F_ECP_NIST_MOD_224				 204
993 #define EC_F_ECP_NIST_MOD_256				 205
994 #define EC_F_ECP_NIST_MOD_521				 206
995 #define EC_F_EC_ASN1_GROUP2CURVE			 153
996 #define EC_F_EC_ASN1_GROUP2FIELDID			 154
997 #define EC_F_EC_ASN1_GROUP2PARAMETERS			 155
998 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS			 156
999 #define EC_F_EC_ASN1_PARAMETERS2GROUP			 157
1000 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP			 158
1001 #define EC_F_EC_EX_DATA_SET_DATA			 211
1002 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY		 208
1003 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT	 159
1004 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE		 195
1005 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT			 160
1006 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT			 161
1007 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1008 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1009 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES	 164
1010 #define EC_F_EC_GFP_MONT_FIELD_DECODE			 133
1011 #define EC_F_EC_GFP_MONT_FIELD_ENCODE			 134
1012 #define EC_F_EC_GFP_MONT_FIELD_MUL			 131
1013 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE		 209
1014 #define EC_F_EC_GFP_MONT_FIELD_SQR			 132
1015 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE		 189
1016 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP		 135
1017 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE		 225
1018 #define EC_F_EC_GFP_NISTP224_POINTS_MUL			 228
1019 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1020 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE		 230
1021 #define EC_F_EC_GFP_NISTP256_POINTS_MUL			 231
1022 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1023 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE		 233
1024 #define EC_F_EC_GFP_NISTP521_POINTS_MUL			 234
1025 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1026 #define EC_F_EC_GFP_NIST_FIELD_MUL			 200
1027 #define EC_F_EC_GFP_NIST_FIELD_SQR			 201
1028 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE		 202
1029 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT	 165
1030 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE		 166
1031 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP		 100
1032 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR		 101
1033 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE			 102
1034 #define EC_F_EC_GFP_SIMPLE_OCT2POINT			 103
1035 #define EC_F_EC_GFP_SIMPLE_POINT2OCT			 104
1036 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE		 137
1037 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES	 167
1038 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1039 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES	 168
1040 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1041 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES	 169
1042 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1043 #define EC_F_EC_GROUP_CHECK				 170
1044 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT		 171
1045 #define EC_F_EC_GROUP_COPY				 106
1046 #define EC_F_EC_GROUP_GET0_GENERATOR			 139
1047 #define EC_F_EC_GROUP_GET_COFACTOR			 140
1048 #define EC_F_EC_GROUP_GET_CURVE_GF2M			 172
1049 #define EC_F_EC_GROUP_GET_CURVE_GFP			 130
1050 #define EC_F_EC_GROUP_GET_DEGREE			 173
1051 #define EC_F_EC_GROUP_GET_ORDER				 141
1052 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS		 193
1053 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS		 194
1054 #define EC_F_EC_GROUP_NEW				 108
1055 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME			 174
1056 #define EC_F_EC_GROUP_NEW_FROM_DATA			 175
1057 #define EC_F_EC_GROUP_PRECOMPUTE_MULT			 142
1058 #define EC_F_EC_GROUP_SET_CURVE_GF2M			 176
1059 #define EC_F_EC_GROUP_SET_CURVE_GFP			 109
1060 #define EC_F_EC_GROUP_SET_EXTRA_DATA			 110
1061 #define EC_F_EC_GROUP_SET_GENERATOR			 111
1062 #define EC_F_EC_KEY_CHECK_KEY				 177
1063 #define EC_F_EC_KEY_COPY				 178
1064 #define EC_F_EC_KEY_GENERATE_KEY			 179
1065 #define EC_F_EC_KEY_NEW					 182
1066 #define EC_F_EC_KEY_PRINT				 180
1067 #define EC_F_EC_KEY_PRINT_FP				 181
1068 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES	 229
1069 #define EC_F_EC_POINTS_MAKE_AFFINE			 136
1070 #define EC_F_EC_POINT_ADD				 112
1071 #define EC_F_EC_POINT_CMP				 113
1072 #define EC_F_EC_POINT_COPY				 114
1073 #define EC_F_EC_POINT_DBL				 115
1074 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M	 183
1075 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP	 116
1076 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP	 117
1077 #define EC_F_EC_POINT_INVERT				 210
1078 #define EC_F_EC_POINT_IS_AT_INFINITY			 118
1079 #define EC_F_EC_POINT_IS_ON_CURVE			 119
1080 #define EC_F_EC_POINT_MAKE_AFFINE			 120
1081 #define EC_F_EC_POINT_MUL				 184
1082 #define EC_F_EC_POINT_NEW				 121
1083 #define EC_F_EC_POINT_OCT2POINT				 122
1084 #define EC_F_EC_POINT_POINT2OCT				 123
1085 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M	 185
1086 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP	 124
1087 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M	 186
1088 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP	 125
1089 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP	 126
1090 #define EC_F_EC_POINT_SET_TO_INFINITY			 127
1091 #define EC_F_EC_PRE_COMP_DUP				 207
1092 #define EC_F_EC_PRE_COMP_NEW				 196
1093 #define EC_F_EC_WNAF_MUL				 187
1094 #define EC_F_EC_WNAF_PRECOMPUTE_MULT			 188
1095 #define EC_F_I2D_ECPARAMETERS				 190
1096 #define EC_F_I2D_ECPKPARAMETERS				 191
1097 #define EC_F_I2D_ECPRIVATEKEY				 192
1098 #define EC_F_I2O_ECPUBLICKEY				 151
1099 #define EC_F_NISTP224_PRE_COMP_NEW			 227
1100 #define EC_F_NISTP256_PRE_COMP_NEW			 236
1101 #define EC_F_NISTP521_PRE_COMP_NEW			 237
1102 #define EC_F_O2I_ECPUBLICKEY				 152
1103 #define EC_F_OLD_EC_PRIV_DECODE				 222
1104 #define EC_F_PKEY_EC_CTRL				 197
1105 #define EC_F_PKEY_EC_CTRL_STR				 198
1106 #define EC_F_PKEY_EC_DERIVE				 217
1107 #define EC_F_PKEY_EC_KEYGEN				 199
1108 #define EC_F_PKEY_EC_PARAMGEN				 219
1109 #define EC_F_PKEY_EC_SIGN				 218
1110 
1111 /* Reason codes. */
1112 #define EC_R_ASN1_ERROR					 115
1113 #define EC_R_ASN1_UNKNOWN_FIELD				 116
1114 #define EC_R_BIGNUM_OUT_OF_RANGE			 144
1115 #define EC_R_BUFFER_TOO_SMALL				 100
1116 #define EC_R_COORDINATES_OUT_OF_RANGE			 146
1117 #define EC_R_D2I_ECPKPARAMETERS_FAILURE			 117
1118 #define EC_R_DECODE_ERROR				 142
1119 #define EC_R_DISCRIMINANT_IS_ZERO			 118
1120 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE		 119
1121 #define EC_R_FIELD_TOO_LARGE				 143
1122 #define EC_R_GF2M_NOT_SUPPORTED				 147
1123 #define EC_R_GROUP2PKPARAMETERS_FAILURE			 120
1124 #define EC_R_I2D_ECPKPARAMETERS_FAILURE			 121
1125 #define EC_R_INCOMPATIBLE_OBJECTS			 101
1126 #define EC_R_INVALID_ARGUMENT				 112
1127 #define EC_R_INVALID_COMPRESSED_POINT			 110
1128 #define EC_R_INVALID_COMPRESSION_BIT			 109
1129 #define EC_R_INVALID_CURVE				 141
1130 #define EC_R_INVALID_DIGEST_TYPE			 138
1131 #define EC_R_INVALID_ENCODING				 102
1132 #define EC_R_INVALID_FIELD				 103
1133 #define EC_R_INVALID_FORM				 104
1134 #define EC_R_INVALID_GROUP_ORDER			 122
1135 #define EC_R_INVALID_PENTANOMIAL_BASIS			 132
1136 #define EC_R_INVALID_PRIVATE_KEY			 123
1137 #define EC_R_INVALID_TRINOMIAL_BASIS			 137
1138 #define EC_R_KEYS_NOT_SET				 140
1139 #define EC_R_MISSING_PARAMETERS				 124
1140 #define EC_R_MISSING_PRIVATE_KEY			 125
1141 #define EC_R_NOT_A_NIST_PRIME				 135
1142 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME			 136
1143 #define EC_R_NOT_IMPLEMENTED				 126
1144 #define EC_R_NOT_INITIALIZED				 111
1145 #define EC_R_NO_FIELD_MOD				 133
1146 #define EC_R_NO_PARAMETERS_SET				 139
1147 #define EC_R_PASSED_NULL_PARAMETER			 134
1148 #define EC_R_PKPARAMETERS2GROUP_FAILURE			 127
1149 #define EC_R_POINT_AT_INFINITY				 106
1150 #define EC_R_POINT_IS_NOT_ON_CURVE			 107
1151 #define EC_R_SLOT_FULL					 108
1152 #define EC_R_UNDEFINED_GENERATOR			 113
1153 #define EC_R_UNDEFINED_ORDER				 128
1154 #define EC_R_UNKNOWN_GROUP				 129
1155 #define EC_R_UNKNOWN_ORDER				 114
1156 #define EC_R_UNSUPPORTED_FIELD				 131
1157 #define EC_R_WRONG_CURVE_PARAMETERS			 145
1158 #define EC_R_WRONG_ORDER				 130
1159 
1160 #ifdef  __cplusplus
1161 }
1162 #endif
1163 #endif
1164