2 * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
4 * Licensed under the OpenSSL license (the "License"). You may not use
5 * this file except in compliance with the License. You can obtain a copy
6 * in the file LICENSE in the source distribution or at
7 * https://www.openssl.org/source/license.html
10 /* ====================================================================
11 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
13 * Portions of the attached software ("Contribution") are developed by
14 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
16 * The Contribution is licensed pursuant to the OpenSSL open source
17 * license provided above.
19 * The elliptic curve binary polynomial software is originally written by
20 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
27 # include <openssl/opensslconf.h>
29 # ifndef OPENSSL_NO_EC
30 # include <openssl/asn1.h>
31 # include <openssl/symhacks.h>
32 # if OPENSSL_API_COMPAT < 0x10100000L
33 # include <openssl/bn.h>
39 # ifndef OPENSSL_ECC_MAX_FIELD_BITS
40 # define OPENSSL_ECC_MAX_FIELD_BITS 661
43 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
44 * for the encoding of a elliptic curve point (x,y) */
46 /** the point is encoded as z||x, where the octet z specifies
47 * which solution of the quadratic equation y is */
48 POINT_CONVERSION_COMPRESSED = 2,
49 /** the point is encoded as z||x||y, where z is the octet 0x04 */
50 POINT_CONVERSION_UNCOMPRESSED = 4,
51 /** the point is encoded as z||x||y, where the octet z specifies
52 * which solution of the quadratic equation y is */
53 POINT_CONVERSION_HYBRID = 6
54 } point_conversion_form_t;
56 typedef struct ec_method_st EC_METHOD;
57 typedef struct ec_group_st EC_GROUP;
58 typedef struct ec_point_st EC_POINT;
59 typedef struct ecpk_parameters_st ECPKPARAMETERS;
60 typedef struct ec_parameters_st ECPARAMETERS;
62 /********************************************************************/
63 /* EC_METHODs for curves over GF(p) */
64 /********************************************************************/
66 /** Returns the basic GFp ec methods which provides the basis for the
68 * \return EC_METHOD object
70 const EC_METHOD *EC_GFp_simple_method(void);
72 /** Returns GFp methods using montgomery multiplication.
73 * \return EC_METHOD object
75 const EC_METHOD *EC_GFp_mont_method(void);
77 /** Returns GFp methods using optimized methods for NIST recommended curves
78 * \return EC_METHOD object
80 const EC_METHOD *EC_GFp_nist_method(void);
82 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
83 /** Returns 64-bit optimized methods for nistp224
84 * \return EC_METHOD object
86 const EC_METHOD *EC_GFp_nistp224_method(void);
88 /** Returns 64-bit optimized methods for nistp256
89 * \return EC_METHOD object
91 const EC_METHOD *EC_GFp_nistp256_method(void);
93 /** Returns 64-bit optimized methods for nistp521
94 * \return EC_METHOD object
96 const EC_METHOD *EC_GFp_nistp521_method(void);
99 # ifndef OPENSSL_NO_EC2M
100 /********************************************************************/
101 /* EC_METHOD for curves over GF(2^m) */
102 /********************************************************************/
104 /** Returns the basic GF2m ec method
105 * \return EC_METHOD object
107 const EC_METHOD *EC_GF2m_simple_method(void);
111 /********************************************************************/
112 /* EC_GROUP functions */
113 /********************************************************************/
115 /** Creates a new EC_GROUP object
116 * \param meth EC_METHOD to use
117 * \return newly created EC_GROUP object or NULL in case of an error.
119 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
121 /** Frees a EC_GROUP object
122 * \param group EC_GROUP object to be freed.
124 void EC_GROUP_free(EC_GROUP *group);
126 /** Clears and frees a EC_GROUP object
127 * \param group EC_GROUP object to be cleared and freed.
129 void EC_GROUP_clear_free(EC_GROUP *group);
131 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
132 * \param dst destination EC_GROUP object
133 * \param src source EC_GROUP object
134 * \return 1 on success and 0 if an error occurred.
136 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
138 /** Creates a new EC_GROUP object and copies the copies the content
139 * form src to the newly created EC_KEY object
140 * \param src source EC_GROUP object
141 * \return newly created EC_GROUP object or NULL in case of an error.
143 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
145 /** Returns the EC_METHOD of the EC_GROUP object.
146 * \param group EC_GROUP object
147 * \return EC_METHOD used in this EC_GROUP object.
149 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
151 /** Returns the field type of the EC_METHOD.
152 * \param meth EC_METHOD object
153 * \return NID of the underlying field type OID.
155 int EC_METHOD_get_field_type(const EC_METHOD *meth);
157 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
158 * \param group EC_GROUP object
159 * \param generator EC_POINT object with the generator.
160 * \param order the order of the group generated by the generator.
161 * \param cofactor the index of the sub-group generated by the generator
162 * in the group of all points on the elliptic curve.
163 * \return 1 on success and 0 if an error occurred
165 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
166 const BIGNUM *order, const BIGNUM *cofactor);
168 /** Returns the generator of a EC_GROUP object.
169 * \param group EC_GROUP object
170 * \return the currently used generator (possibly NULL).
172 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
174 /** Returns the montgomery data for order(Generator)
175 * \param group EC_GROUP object
176 * \return the currently used montgomery data (possibly NULL).
178 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
180 /** Gets the order of a EC_GROUP
181 * \param group EC_GROUP object
182 * \param order BIGNUM to which the order is copied
184 * \return 1 on success and 0 if an error occurred
186 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
188 /** Gets the order of an EC_GROUP
189 * \param group EC_GROUP object
190 * \return the group order
192 const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
194 /** Gets the number of bits of the order of an EC_GROUP
195 * \param group EC_GROUP object
196 * \return number of bits of group order.
198 int EC_GROUP_order_bits(const EC_GROUP *group);
200 /** Gets the cofactor of a EC_GROUP
201 * \param group EC_GROUP object
202 * \param cofactor BIGNUM to which the cofactor is copied
204 * \return 1 on success and 0 if an error occurred
206 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
209 /** Gets the cofactor of an EC_GROUP
210 * \param group EC_GROUP object
211 * \return the group cofactor
213 const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group);
215 /** Sets the name of a EC_GROUP object
216 * \param group EC_GROUP object
217 * \param nid NID of the curve name OID
219 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
221 /** Returns the curve name of a EC_GROUP object
222 * \param group EC_GROUP object
223 * \return NID of the curve name OID or 0 if not set.
225 int EC_GROUP_get_curve_name(const EC_GROUP *group);
227 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
228 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
230 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
231 point_conversion_form_t form);
232 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
234 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
235 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
236 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
238 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
239 * \param group EC_GROUP object
240 * \param p BIGNUM with the prime number
241 * \param a BIGNUM with parameter a of the equation
242 * \param b BIGNUM with parameter b of the equation
243 * \param ctx BN_CTX object (optional)
244 * \return 1 on success and 0 if an error occurred
246 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
247 const BIGNUM *b, BN_CTX *ctx);
249 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
250 * \param group EC_GROUP object
251 * \param p BIGNUM for the prime number
252 * \param a BIGNUM for parameter a of the equation
253 * \param b BIGNUM for parameter b of the equation
254 * \param ctx BN_CTX object (optional)
255 * \return 1 on success and 0 if an error occurred
257 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
258 BIGNUM *b, BN_CTX *ctx);
260 # ifndef OPENSSL_NO_EC2M
261 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
262 * \param group EC_GROUP object
263 * \param p BIGNUM with the polynomial defining the underlying field
264 * \param a BIGNUM with parameter a of the equation
265 * \param b BIGNUM with parameter b of the equation
266 * \param ctx BN_CTX object (optional)
267 * \return 1 on success and 0 if an error occurred
269 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
270 const BIGNUM *b, BN_CTX *ctx);
272 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
273 * \param group EC_GROUP object
274 * \param p BIGNUM for the polynomial defining the underlying field
275 * \param a BIGNUM for parameter a of the equation
276 * \param b BIGNUM for parameter b of the equation
277 * \param ctx BN_CTX object (optional)
278 * \return 1 on success and 0 if an error occurred
280 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
281 BIGNUM *b, BN_CTX *ctx);
283 /** Returns the number of bits needed to represent a field element
284 * \param group EC_GROUP object
285 * \return number of bits needed to represent a field element
287 int EC_GROUP_get_degree(const EC_GROUP *group);
289 /** Checks whether the parameter in the EC_GROUP define a valid ec group
290 * \param group EC_GROUP object
291 * \param ctx BN_CTX object (optional)
292 * \return 1 if group is a valid ec group and 0 otherwise
294 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
296 /** Checks whether the discriminant of the elliptic curve is zero or not
297 * \param group EC_GROUP object
298 * \param ctx BN_CTX object (optional)
299 * \return 1 if the discriminant is not zero and 0 otherwise
301 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
303 /** Compares two EC_GROUP objects
304 * \param a first EC_GROUP object
305 * \param b second EC_GROUP object
306 * \param ctx BN_CTX object (optional)
307 * \return 0 if the groups are equal, 1 if not, or -1 on error
309 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
312 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
313 * choosing an appropriate EC_METHOD
316 /** Creates a new EC_GROUP object with the specified parameters defined
317 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
318 * \param p BIGNUM with the prime number
319 * \param a BIGNUM with the parameter a of the equation
320 * \param b BIGNUM with the parameter b of the equation
321 * \param ctx BN_CTX object (optional)
322 * \return newly created EC_GROUP object with the specified parameters
324 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
325 const BIGNUM *b, BN_CTX *ctx);
326 # ifndef OPENSSL_NO_EC2M
327 /** Creates a new EC_GROUP object with the specified parameters defined
328 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
329 * \param p BIGNUM with the polynomial defining the underlying field
330 * \param a BIGNUM with the parameter a of the equation
331 * \param b BIGNUM with the parameter b of the equation
332 * \param ctx BN_CTX object (optional)
333 * \return newly created EC_GROUP object with the specified parameters
335 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
336 const BIGNUM *b, BN_CTX *ctx);
339 /** Creates a EC_GROUP object with a curve specified by a NID
340 * \param nid NID of the OID of the curve name
341 * \return newly created EC_GROUP object with specified curve or NULL
342 * if an error occurred
344 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
346 /** Creates a new EC_GROUP object from an ECPARAMETERS object
347 * \param params pointer to the ECPARAMETERS object
348 * \return newly created EC_GROUP object with specified curve or NULL
349 * if an error occurred
351 EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params);
353 /** Creates an ECPARAMETERS object for the the given EC_GROUP object.
354 * \param group pointer to the EC_GROUP object
355 * \param params pointer to an existing ECPARAMETERS object or NULL
356 * \return pointer to the new ECPARAMETERS object or NULL
357 * if an error occurred.
359 ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
360 ECPARAMETERS *params);
362 /** Creates a new EC_GROUP object from an ECPKPARAMETERS object
363 * \param params pointer to an existing ECPKPARAMETERS object, or NULL
364 * \return newly created EC_GROUP object with specified curve, or NULL
365 * if an error occurred
367 EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params);
369 /** Creates an ECPKPARAMETERS object for the the given EC_GROUP object.
370 * \param group pointer to the EC_GROUP object
371 * \param params pointer to an existing ECPKPARAMETERS object or NULL
372 * \return pointer to the new ECPKPARAMETERS object or NULL
373 * if an error occurred.
375 ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
376 ECPKPARAMETERS *params);
378 /********************************************************************/
379 /* handling of internal curves */
380 /********************************************************************/
388 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
389 * available curves or zero if a error occurred. In case r is not zero,
390 * nitems EC_builtin_curve structures are filled with the data of the first
391 * nitems internal groups
393 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
395 const char *EC_curve_nid2nist(int nid);
396 int EC_curve_nist2nid(const char *name);
398 /********************************************************************/
399 /* EC_POINT functions */
400 /********************************************************************/
402 /** Creates a new EC_POINT object for the specified EC_GROUP
403 * \param group EC_GROUP the underlying EC_GROUP object
404 * \return newly created EC_POINT object or NULL if an error occurred
406 EC_POINT *EC_POINT_new(const EC_GROUP *group);
408 /** Frees a EC_POINT object
409 * \param point EC_POINT object to be freed
411 void EC_POINT_free(EC_POINT *point);
413 /** Clears and frees a EC_POINT object
414 * \param point EC_POINT object to be cleared and freed
416 void EC_POINT_clear_free(EC_POINT *point);
418 /** Copies EC_POINT object
419 * \param dst destination EC_POINT object
420 * \param src source EC_POINT object
421 * \return 1 on success and 0 if an error occurred
423 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
425 /** Creates a new EC_POINT object and copies the content of the supplied
427 * \param src source EC_POINT object
428 * \param group underlying the EC_GROUP object
429 * \return newly created EC_POINT object or NULL if an error occurred
431 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
433 /** Returns the EC_METHOD used in EC_POINT object
434 * \param point EC_POINT object
435 * \return the EC_METHOD used
437 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
439 /** Sets a point to infinity (neutral element)
440 * \param group underlying EC_GROUP object
441 * \param point EC_POINT to set to infinity
442 * \return 1 on success and 0 if an error occurred
444 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
446 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
447 * \param group underlying EC_GROUP object
448 * \param p EC_POINT object
449 * \param x BIGNUM with the x-coordinate
450 * \param y BIGNUM with the y-coordinate
451 * \param z BIGNUM with the z-coordinate
452 * \param ctx BN_CTX object (optional)
453 * \return 1 on success and 0 if an error occurred
455 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
456 EC_POINT *p, const BIGNUM *x,
457 const BIGNUM *y, const BIGNUM *z,
460 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
461 * \param group underlying EC_GROUP object
462 * \param p EC_POINT object
463 * \param x BIGNUM for the x-coordinate
464 * \param y BIGNUM for the y-coordinate
465 * \param z BIGNUM for the z-coordinate
466 * \param ctx BN_CTX object (optional)
467 * \return 1 on success and 0 if an error occurred
469 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
470 const EC_POINT *p, BIGNUM *x,
471 BIGNUM *y, BIGNUM *z,
474 /** Sets the affine coordinates of a EC_POINT over GFp
475 * \param group underlying EC_GROUP object
476 * \param p EC_POINT object
477 * \param x BIGNUM with the x-coordinate
478 * \param y BIGNUM with the y-coordinate
479 * \param ctx BN_CTX object (optional)
480 * \return 1 on success and 0 if an error occurred
482 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
483 const BIGNUM *x, const BIGNUM *y,
486 /** Gets the affine coordinates of a EC_POINT over GFp
487 * \param group underlying EC_GROUP object
488 * \param p EC_POINT object
489 * \param x BIGNUM for the x-coordinate
490 * \param y BIGNUM for the y-coordinate
491 * \param ctx BN_CTX object (optional)
492 * \return 1 on success and 0 if an error occurred
494 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
495 const EC_POINT *p, BIGNUM *x,
496 BIGNUM *y, BN_CTX *ctx);
498 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
499 * \param group underlying EC_GROUP object
500 * \param p EC_POINT object
501 * \param x BIGNUM with x-coordinate
502 * \param y_bit integer with the y-Bit (either 0 or 1)
503 * \param ctx BN_CTX object (optional)
504 * \return 1 on success and 0 if an error occurred
506 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
507 EC_POINT *p, const BIGNUM *x,
508 int y_bit, BN_CTX *ctx);
509 # ifndef OPENSSL_NO_EC2M
510 /** Sets the affine coordinates of a EC_POINT over GF2m
511 * \param group underlying EC_GROUP object
512 * \param p EC_POINT object
513 * \param x BIGNUM with the x-coordinate
514 * \param y BIGNUM with the y-coordinate
515 * \param ctx BN_CTX object (optional)
516 * \return 1 on success and 0 if an error occurred
518 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
519 const BIGNUM *x, const BIGNUM *y,
522 /** Gets the affine coordinates of a EC_POINT over GF2m
523 * \param group underlying EC_GROUP object
524 * \param p EC_POINT object
525 * \param x BIGNUM for the x-coordinate
526 * \param y BIGNUM for the y-coordinate
527 * \param ctx BN_CTX object (optional)
528 * \return 1 on success and 0 if an error occurred
530 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
531 const EC_POINT *p, BIGNUM *x,
532 BIGNUM *y, BN_CTX *ctx);
534 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
535 * \param group underlying EC_GROUP object
536 * \param p EC_POINT object
537 * \param x BIGNUM with x-coordinate
538 * \param y_bit integer with the y-Bit (either 0 or 1)
539 * \param ctx BN_CTX object (optional)
540 * \return 1 on success and 0 if an error occurred
542 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
543 EC_POINT *p, const BIGNUM *x,
544 int y_bit, BN_CTX *ctx);
546 /** Encodes a EC_POINT object to a octet string
547 * \param group underlying EC_GROUP object
548 * \param p EC_POINT object
549 * \param form point conversion form
550 * \param buf memory buffer for the result. If NULL the function returns
551 * required buffer size.
552 * \param len length of the memory buffer
553 * \param ctx BN_CTX object (optional)
554 * \return the length of the encoded octet string or 0 if an error occurred
556 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
557 point_conversion_form_t form,
558 unsigned char *buf, size_t len, BN_CTX *ctx);
560 /** Decodes a EC_POINT from a octet string
561 * \param group underlying EC_GROUP object
562 * \param p EC_POINT object
563 * \param buf memory buffer with the encoded ec point
564 * \param len length of the encoded ec point
565 * \param ctx BN_CTX object (optional)
566 * \return 1 on success and 0 if an error occurred
568 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
569 const unsigned char *buf, size_t len, BN_CTX *ctx);
571 /** Encodes an EC_POINT object to an allocated octet string
572 * \param group underlying EC_GROUP object
573 * \param point EC_POINT object
574 * \param form point conversion form
575 * \param pbuf returns pointer to allocated buffer
576 * \param len length of the memory buffer
577 * \param ctx BN_CTX object (optional)
578 * \return the length of the encoded octet string or 0 if an error occurred
581 size_t EC_POINT_point2buf(const EC_GROUP *group, const EC_POINT *point,
582 point_conversion_form_t form,
583 unsigned char **pbuf, BN_CTX *ctx);
585 /* other interfaces to point2oct/oct2point: */
586 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
587 point_conversion_form_t form, BIGNUM *, BN_CTX *);
588 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
589 EC_POINT *, BN_CTX *);
590 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
591 point_conversion_form_t form, BN_CTX *);
592 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
593 EC_POINT *, BN_CTX *);
595 /********************************************************************/
596 /* functions for doing EC_POINT arithmetic */
597 /********************************************************************/
599 /** Computes the sum of two EC_POINT
600 * \param group underlying EC_GROUP object
601 * \param r EC_POINT object for the result (r = a + b)
602 * \param a EC_POINT object with the first summand
603 * \param b EC_POINT object with the second summand
604 * \param ctx BN_CTX object (optional)
605 * \return 1 on success and 0 if an error occurred
607 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
608 const EC_POINT *b, BN_CTX *ctx);
610 /** Computes the double of a EC_POINT
611 * \param group underlying EC_GROUP object
612 * \param r EC_POINT object for the result (r = 2 * a)
613 * \param a EC_POINT object
614 * \param ctx BN_CTX object (optional)
615 * \return 1 on success and 0 if an error occurred
617 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
620 /** Computes the inverse of a EC_POINT
621 * \param group underlying EC_GROUP object
622 * \param a EC_POINT object to be inverted (it's used for the result as well)
623 * \param ctx BN_CTX object (optional)
624 * \return 1 on success and 0 if an error occurred
626 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
628 /** Checks whether the point is the neutral element of the group
629 * \param group the underlying EC_GROUP object
630 * \param p EC_POINT object
631 * \return 1 if the point is the neutral element and 0 otherwise
633 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
635 /** Checks whether the point is on the curve
636 * \param group underlying EC_GROUP object
637 * \param point EC_POINT object to check
638 * \param ctx BN_CTX object (optional)
639 * \return 1 if the point is on the curve, 0 if not, or -1 on error
641 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
644 /** Compares two EC_POINTs
645 * \param group underlying EC_GROUP object
646 * \param a first EC_POINT object
647 * \param b second EC_POINT object
648 * \param ctx BN_CTX object (optional)
649 * \return 1 if the points are not equal, 0 if they are, or -1 on error
651 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
654 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
655 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
656 EC_POINT *points[], BN_CTX *ctx);
658 /** Computes r = generator * n + sum_{i=0}^{num-1} p[i] * m[i]
659 * \param group underlying EC_GROUP object
660 * \param r EC_POINT object for the result
661 * \param n BIGNUM with the multiplier for the group generator (optional)
662 * \param num number further summands
663 * \param p array of size num of EC_POINT objects
664 * \param m array of size num of BIGNUM objects
665 * \param ctx BN_CTX object (optional)
666 * \return 1 on success and 0 if an error occurred
668 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
669 size_t num, const EC_POINT *p[], const BIGNUM *m[],
672 /** Computes r = generator * n + q * m
673 * \param group underlying EC_GROUP object
674 * \param r EC_POINT object for the result
675 * \param n BIGNUM with the multiplier for the group generator (optional)
676 * \param q EC_POINT object with the first factor of the second summand
677 * \param m BIGNUM with the second factor of the second summand
678 * \param ctx BN_CTX object (optional)
679 * \return 1 on success and 0 if an error occurred
681 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
682 const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
684 /** Stores multiples of generator for faster point multiplication
685 * \param group EC_GROUP object
686 * \param ctx BN_CTX object (optional)
687 * \return 1 on success and 0 if an error occurred
689 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
691 /** Reports whether a precomputation has been done
692 * \param group EC_GROUP object
693 * \return 1 if a pre-computation has been done and 0 otherwise
695 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
697 /********************************************************************/
699 /********************************************************************/
701 DECLARE_ASN1_ITEM(ECPKPARAMETERS)
702 DECLARE_ASN1_ALLOC_FUNCTIONS(ECPKPARAMETERS)
703 DECLARE_ASN1_ITEM(ECPARAMETERS)
704 DECLARE_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
707 * EC_GROUP_get_basis_type() returns the NID of the basis type used to
708 * represent the field elements
710 int EC_GROUP_get_basis_type(const EC_GROUP *);
711 # ifndef OPENSSL_NO_EC2M
712 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
713 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
714 unsigned int *k2, unsigned int *k3);
717 # define OPENSSL_EC_EXPLICIT_CURVE 0x000
718 # define OPENSSL_EC_NAMED_CURVE 0x001
720 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
721 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
723 # define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
724 # define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
725 # define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
726 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
727 # define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
728 (unsigned char *)(x))
730 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
731 # ifndef OPENSSL_NO_STDIO
732 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
735 /********************************************************************/
736 /* EC_KEY functions */
737 /********************************************************************/
739 /* some values for the encoding_flag */
740 # define EC_PKEY_NO_PARAMETERS 0x001
741 # define EC_PKEY_NO_PUBKEY 0x002
743 /* some values for the flags field */
744 # define EC_FLAG_NON_FIPS_ALLOW 0x1
745 # define EC_FLAG_FIPS_CHECKED 0x2
746 # define EC_FLAG_COFACTOR_ECDH 0x1000
748 /** Creates a new EC_KEY object.
749 * \return EC_KEY object or NULL if an error occurred.
751 EC_KEY *EC_KEY_new(void);
753 int EC_KEY_get_flags(const EC_KEY *key);
755 void EC_KEY_set_flags(EC_KEY *key, int flags);
757 void EC_KEY_clear_flags(EC_KEY *key, int flags);
759 /** Creates a new EC_KEY object using a named curve as underlying
761 * \param nid NID of the named curve.
762 * \return EC_KEY object or NULL if an error occurred.
764 EC_KEY *EC_KEY_new_by_curve_name(int nid);
766 /** Frees a EC_KEY object.
767 * \param key EC_KEY object to be freed.
769 void EC_KEY_free(EC_KEY *key);
771 /** Copies a EC_KEY object.
772 * \param dst destination EC_KEY object
773 * \param src src EC_KEY object
774 * \return dst or NULL if an error occurred.
776 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
778 /** Creates a new EC_KEY object and copies the content from src to it.
779 * \param src the source EC_KEY object
780 * \return newly created EC_KEY object or NULL if an error occurred.
782 EC_KEY *EC_KEY_dup(const EC_KEY *src);
784 /** Increases the internal reference count of a EC_KEY object.
785 * \param key EC_KEY object
786 * \return 1 on success and 0 if an error occurred.
788 int EC_KEY_up_ref(EC_KEY *key);
790 /** Returns the EC_GROUP object of a EC_KEY object
791 * \param key EC_KEY object
792 * \return the EC_GROUP object (possibly NULL).
794 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
796 /** Sets the EC_GROUP of a EC_KEY object.
797 * \param key EC_KEY object
798 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
799 * object will use an own copy of the EC_GROUP).
800 * \return 1 on success and 0 if an error occurred.
802 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
804 /** Returns the private key of a EC_KEY object.
805 * \param key EC_KEY object
806 * \return a BIGNUM with the private key (possibly NULL).
808 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
810 /** Sets the private key of a EC_KEY object.
811 * \param key EC_KEY object
812 * \param prv BIGNUM with the private key (note: the EC_KEY object
813 * will use an own copy of the BIGNUM).
814 * \return 1 on success and 0 if an error occurred.
816 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
818 /** Returns the public key of a EC_KEY object.
819 * \param key the EC_KEY object
820 * \return a EC_POINT object with the public key (possibly NULL)
822 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
824 /** Sets the public key of a EC_KEY object.
825 * \param key EC_KEY object
826 * \param pub EC_POINT object with the public key (note: the EC_KEY object
827 * will use an own copy of the EC_POINT object).
828 * \return 1 on success and 0 if an error occurred.
830 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
832 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
833 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
834 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
835 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
837 #define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
838 CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
839 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
840 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
842 /* wrapper functions for the underlying EC_GROUP object */
843 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
845 /** Creates a table of pre-computed multiples of the generator to
846 * accelerate further EC_KEY operations.
847 * \param key EC_KEY object
848 * \param ctx BN_CTX object (optional)
849 * \return 1 on success and 0 if an error occurred.
851 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
853 /** Creates a new ec private (and optional a new public) key.
854 * \param key EC_KEY object
855 * \return 1 on success and 0 if an error occurred.
857 int EC_KEY_generate_key(EC_KEY *key);
859 /** Verifies that a private and/or public key is valid.
860 * \param key the EC_KEY object
861 * \return 1 on success and 0 otherwise.
863 int EC_KEY_check_key(const EC_KEY *key);
865 /** Indicates if an EC_KEY can be used for signing.
866 * \param key the EC_KEY object
867 * \return 1 if can can sign and 0 otherwise.
869 int EC_KEY_can_sign(const EC_KEY *eckey);
871 /** Sets a public key from affine coordinates performing
872 * necessary NIST PKV tests.
873 * \param key the EC_KEY object
874 * \param x public key x coordinate
875 * \param y public key y coordinate
876 * \return 1 on success and 0 otherwise.
878 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
881 /** Encodes an EC_KEY public key to an allocated octet string
882 * \param key key to encode
883 * \param form point conversion form
884 * \param pbuf returns pointer to allocated buffer
885 * \param len length of the memory buffer
886 * \param ctx BN_CTX object (optional)
887 * \return the length of the encoded octet string or 0 if an error occurred
890 size_t EC_KEY_key2buf(const EC_KEY *key, point_conversion_form_t form,
891 unsigned char **pbuf, BN_CTX *ctx);
893 /** Decodes a EC_KEY public key from a octet string
894 * \param key key to decode
895 * \param buf memory buffer with the encoded ec point
896 * \param len length of the encoded ec point
897 * \param ctx BN_CTX object (optional)
898 * \return 1 on success and 0 if an error occurred
901 int EC_KEY_oct2key(EC_KEY *key, const unsigned char *buf, size_t len,
904 /** Decodes an EC_KEY private key from an octet string
905 * \param key key to decode
906 * \param buf memory buffer with the encoded private key
907 * \param len length of the encoded key
908 * \return 1 on success and 0 if an error occurred
911 int EC_KEY_oct2priv(EC_KEY *key, const unsigned char *buf, size_t len);
913 /** Encodes a EC_KEY private key to an octet string
914 * \param key key to encode
915 * \param buf memory buffer for the result. If NULL the function returns
916 * required buffer size.
917 * \param len length of the memory buffer
918 * \return the length of the encoded octet string or 0 if an error occurred
921 size_t EC_KEY_priv2oct(const EC_KEY *key, unsigned char *buf, size_t len);
923 /** Encodes an EC_KEY private key to an allocated octet string
924 * \param key key to encode
925 * \param pbuf returns pointer to allocated buffer
926 * \return the length of the encoded octet string or 0 if an error occurred
929 size_t EC_KEY_priv2buf(const EC_KEY *eckey, unsigned char **pbuf);
931 /********************************************************************/
932 /* de- and encoding functions for SEC1 ECPrivateKey */
933 /********************************************************************/
935 /** Decodes a private key from a memory buffer.
936 * \param key a pointer to a EC_KEY object which should be used (or NULL)
937 * \param in pointer to memory with the DER encoded private key
938 * \param len length of the DER encoded private key
939 * \return the decoded private key or NULL if an error occurred.
941 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
943 /** Encodes a private key object and stores the result in a buffer.
944 * \param key the EC_KEY object to encode
945 * \param out the buffer for the result (if NULL the function returns number
947 * \return 1 on success and 0 if an error occurred.
949 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
951 /********************************************************************/
952 /* de- and encoding functions for EC parameters */
953 /********************************************************************/
955 /** Decodes ec parameter from a memory buffer.
956 * \param key a pointer to a EC_KEY object which should be used (or NULL)
957 * \param in pointer to memory with the DER encoded ec parameters
958 * \param len length of the DER encoded ec parameters
959 * \return a EC_KEY object with the decoded parameters or NULL if an error
962 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
964 /** Encodes ec parameter and stores the result in a buffer.
965 * \param key the EC_KEY object with ec parameters to encode
966 * \param out the buffer for the result (if NULL the function returns number
968 * \return 1 on success and 0 if an error occurred.
970 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
972 /********************************************************************/
973 /* de- and encoding functions for EC public key */
974 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
975 /********************************************************************/
977 /** Decodes a ec public key from a octet string.
978 * \param key a pointer to a EC_KEY object which should be used
979 * \param in memory buffer with the encoded public key
980 * \param len length of the encoded public key
981 * \return EC_KEY object with decoded public key or NULL if an error
984 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
986 /** Encodes a ec public key in an octet string.
987 * \param key the EC_KEY object with the public key
988 * \param out the buffer for the result (if NULL the function returns number
990 * \return 1 on success and 0 if an error occurred
992 int i2o_ECPublicKey(const EC_KEY *key, unsigned char **out);
994 /** Prints out the ec parameters on human readable form.
995 * \param bp BIO object to which the information is printed
996 * \param key EC_KEY object
997 * \return 1 on success and 0 if an error occurred
999 int ECParameters_print(BIO *bp, const EC_KEY *key);
1001 /** Prints out the contents of a EC_KEY object
1002 * \param bp BIO object to which the information is printed
1003 * \param key EC_KEY object
1004 * \param off line offset
1005 * \return 1 on success and 0 if an error occurred
1007 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
1009 # ifndef OPENSSL_NO_STDIO
1010 /** Prints out the ec parameters on human readable form.
1011 * \param fp file descriptor to which the information is printed
1012 * \param key EC_KEY object
1013 * \return 1 on success and 0 if an error occurred
1015 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
1017 /** Prints out the contents of a EC_KEY object
1018 * \param fp file descriptor to which the information is printed
1019 * \param key EC_KEY object
1020 * \param off line offset
1021 * \return 1 on success and 0 if an error occurred
1023 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
1027 const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
1028 const EC_KEY_METHOD *EC_KEY_get_default_method(void);
1029 void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
1030 const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
1031 int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
1032 EC_KEY *EC_KEY_new_method(ENGINE *engine);
1034 int ECDH_KDF_X9_62(unsigned char *out, size_t outlen,
1035 const unsigned char *Z, size_t Zlen,
1036 const unsigned char *sinfo, size_t sinfolen,
1039 int ECDH_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
1041 void *(*KDF) (const void *in, size_t inlen,
1042 void *out, size_t *outlen));
1044 typedef struct ECDSA_SIG_st ECDSA_SIG;
1046 /** Allocates and initialize a ECDSA_SIG structure
1047 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1049 ECDSA_SIG *ECDSA_SIG_new(void);
1051 /** frees a ECDSA_SIG structure
1052 * \param sig pointer to the ECDSA_SIG structure
1054 void ECDSA_SIG_free(ECDSA_SIG *sig);
1056 /** DER encode content of ECDSA_SIG object (note: this function modifies *pp
1057 * (*pp += length of the DER encoded signature)).
1058 * \param sig pointer to the ECDSA_SIG object
1059 * \param pp pointer to a unsigned char pointer for the output or NULL
1060 * \return the length of the DER encoded ECDSA_SIG object or 0
1062 int i2d_ECDSA_SIG(const ECDSA_SIG *sig, unsigned char **pp);
1064 /** Decodes a DER encoded ECDSA signature (note: this function changes *pp
1066 * \param sig pointer to ECDSA_SIG pointer (may be NULL)
1067 * \param pp memory buffer with the DER encoded signature
1068 * \param len length of the buffer
1069 * \return pointer to the decoded ECDSA_SIG structure (or NULL)
1071 ECDSA_SIG *d2i_ECDSA_SIG(ECDSA_SIG **sig, const unsigned char **pp, long len);
1073 /** Accessor for r and s fields of ECDSA_SIG
1074 * \param sig pointer to ECDSA_SIG pointer
1075 * \param pr pointer to BIGNUM pointer for r (may be NULL)
1076 * \param ps pointer to BIGNUM pointer for s (may be NULL)
1078 void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps);
1080 /** Setter for r and s fields of ECDSA_SIG
1081 * \param sig pointer to ECDSA_SIG pointer
1082 * \param r pointer to BIGNUM for r (may be NULL)
1083 * \param s pointer to BIGNUM for s (may be NULL)
1085 int ECDSA_SIG_set0(ECDSA_SIG *sig, BIGNUM *r, BIGNUM *s);
1087 /** Computes the ECDSA signature of the given hash value using
1088 * the supplied private key and returns the created signature.
1089 * \param dgst pointer to the hash value
1090 * \param dgst_len length of the hash value
1091 * \param eckey EC_KEY object containing a private EC key
1092 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1094 ECDSA_SIG *ECDSA_do_sign(const unsigned char *dgst, int dgst_len,
1097 /** Computes ECDSA signature of a given hash value using the supplied
1098 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1099 * \param dgst pointer to the hash value to sign
1100 * \param dgstlen length of the hash value
1101 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1102 * \param rp BIGNUM with a pre-computed rp value (optional),
1103 * see ECDSA_sign_setup
1104 * \param eckey EC_KEY object containing a private EC key
1105 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1107 ECDSA_SIG *ECDSA_do_sign_ex(const unsigned char *dgst, int dgstlen,
1108 const BIGNUM *kinv, const BIGNUM *rp,
1111 /** Verifies that the supplied signature is a valid ECDSA
1112 * signature of the supplied hash value using the supplied public key.
1113 * \param dgst pointer to the hash value
1114 * \param dgst_len length of the hash value
1115 * \param sig ECDSA_SIG structure
1116 * \param eckey EC_KEY object containing a public EC key
1117 * \return 1 if the signature is valid, 0 if the signature is invalid
1120 int ECDSA_do_verify(const unsigned char *dgst, int dgst_len,
1121 const ECDSA_SIG *sig, EC_KEY *eckey);
1123 /** Precompute parts of the signing operation
1124 * \param eckey EC_KEY object containing a private EC key
1125 * \param ctx BN_CTX object (optional)
1126 * \param kinv BIGNUM pointer for the inverse of k
1127 * \param rp BIGNUM pointer for x coordinate of k * generator
1128 * \return 1 on success and 0 otherwise
1130 int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv, BIGNUM **rp);
1132 /** Computes ECDSA signature of a given hash value using the supplied
1133 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1134 * \param type this parameter is ignored
1135 * \param dgst pointer to the hash value to sign
1136 * \param dgstlen length of the hash value
1137 * \param sig memory for the DER encoded created signature
1138 * \param siglen pointer to the length of the returned signature
1139 * \param eckey EC_KEY object containing a private EC key
1140 * \return 1 on success and 0 otherwise
1142 int ECDSA_sign(int type, const unsigned char *dgst, int dgstlen,
1143 unsigned char *sig, unsigned int *siglen, EC_KEY *eckey);
1145 /** Computes ECDSA signature of a given hash value using the supplied
1146 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1147 * \param type this parameter is ignored
1148 * \param dgst pointer to the hash value to sign
1149 * \param dgstlen length of the hash value
1150 * \param sig buffer to hold the DER encoded signature
1151 * \param siglen pointer to the length of the returned signature
1152 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1153 * \param rp BIGNUM with a pre-computed rp value (optional),
1154 * see ECDSA_sign_setup
1155 * \param eckey EC_KEY object containing a private EC key
1156 * \return 1 on success and 0 otherwise
1158 int ECDSA_sign_ex(int type, const unsigned char *dgst, int dgstlen,
1159 unsigned char *sig, unsigned int *siglen,
1160 const BIGNUM *kinv, const BIGNUM *rp, EC_KEY *eckey);
1162 /** Verifies that the given signature is valid ECDSA signature
1163 * of the supplied hash value using the specified public key.
1164 * \param type this parameter is ignored
1165 * \param dgst pointer to the hash value
1166 * \param dgstlen length of the hash value
1167 * \param sig pointer to the DER encoded signature
1168 * \param siglen length of the DER encoded signature
1169 * \param eckey EC_KEY object containing a public EC key
1170 * \return 1 if the signature is valid, 0 if the signature is invalid
1173 int ECDSA_verify(int type, const unsigned char *dgst, int dgstlen,
1174 const unsigned char *sig, int siglen, EC_KEY *eckey);
1176 /** Returns the maximum length of the DER encoded signature
1177 * \param eckey EC_KEY object
1178 * \return numbers of bytes required for the DER encoded signature
1180 int ECDSA_size(const EC_KEY *eckey);
1182 /********************************************************************/
1183 /* EC_KEY_METHOD constructors, destructors, writers and accessors */
1184 /********************************************************************/
1186 EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
1187 void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
1188 void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
1189 int (*init)(EC_KEY *key),
1190 void (*finish)(EC_KEY *key),
1191 int (*copy)(EC_KEY *dest, const EC_KEY *src),
1192 int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
1193 int (*set_private)(EC_KEY *key,
1194 const BIGNUM *priv_key),
1195 int (*set_public)(EC_KEY *key,
1196 const EC_POINT *pub_key));
1198 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
1199 int (*keygen)(EC_KEY *key));
1201 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
1202 int (*ckey)(unsigned char **psec,
1204 const EC_POINT *pub_key,
1205 const EC_KEY *ecdh));
1207 void EC_KEY_METHOD_set_sign(EC_KEY_METHOD *meth,
1208 int (*sign)(int type, const unsigned char *dgst,
1209 int dlen, unsigned char *sig,
1210 unsigned int *siglen,
1211 const BIGNUM *kinv, const BIGNUM *r,
1213 int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1214 BIGNUM **kinvp, BIGNUM **rp),
1215 ECDSA_SIG *(*sign_sig)(const unsigned char *dgst,
1217 const BIGNUM *in_kinv,
1221 void EC_KEY_METHOD_set_verify(EC_KEY_METHOD *meth,
1222 int (*verify)(int type, const unsigned
1223 char *dgst, int dgst_len,
1224 const unsigned char *sigbuf,
1225 int sig_len, EC_KEY *eckey),
1226 int (*verify_sig)(const unsigned char *dgst,
1228 const ECDSA_SIG *sig,
1231 void EC_KEY_METHOD_get_init(EC_KEY_METHOD *meth,
1232 int (**pinit)(EC_KEY *key),
1233 void (**pfinish)(EC_KEY *key),
1234 int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
1235 int (**pset_group)(EC_KEY *key,
1236 const EC_GROUP *grp),
1237 int (**pset_private)(EC_KEY *key,
1238 const BIGNUM *priv_key),
1239 int (**pset_public)(EC_KEY *key,
1240 const EC_POINT *pub_key));
1242 void EC_KEY_METHOD_get_keygen(EC_KEY_METHOD *meth,
1243 int (**pkeygen)(EC_KEY *key));
1245 void EC_KEY_METHOD_get_compute_key(EC_KEY_METHOD *meth,
1246 int (**pck)(unsigned char **psec,
1248 const EC_POINT *pub_key,
1249 const EC_KEY *ecdh));
1251 void EC_KEY_METHOD_get_sign(EC_KEY_METHOD *meth,
1252 int (**psign)(int type, const unsigned char *dgst,
1253 int dlen, unsigned char *sig,
1254 unsigned int *siglen,
1255 const BIGNUM *kinv, const BIGNUM *r,
1257 int (**psign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1258 BIGNUM **kinvp, BIGNUM **rp),
1259 ECDSA_SIG *(**psign_sig)(const unsigned char *dgst,
1261 const BIGNUM *in_kinv,
1265 void EC_KEY_METHOD_get_verify(EC_KEY_METHOD *meth,
1266 int (**pverify)(int type, const unsigned
1267 char *dgst, int dgst_len,
1268 const unsigned char *sigbuf,
1269 int sig_len, EC_KEY *eckey),
1270 int (**pverify_sig)(const unsigned char *dgst,
1272 const ECDSA_SIG *sig,
1275 # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
1277 # ifndef __cplusplus
1278 # if defined(__SUNPRO_C)
1279 # if __SUNPRO_C >= 0x520
1280 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
1285 # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
1286 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1287 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1288 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1290 # define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1291 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1292 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1293 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1295 # define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1296 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1297 EVP_PKEY_OP_DERIVE, \
1298 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1300 # define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1301 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1302 EVP_PKEY_OP_DERIVE, \
1303 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1305 # define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1306 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1307 EVP_PKEY_OP_DERIVE, \
1308 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1310 # define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1311 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1312 EVP_PKEY_OP_DERIVE, \
1313 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1315 # define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1316 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1317 EVP_PKEY_OP_DERIVE, \
1318 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
1320 # define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1321 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1322 EVP_PKEY_OP_DERIVE, \
1323 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
1325 # define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1326 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1327 EVP_PKEY_OP_DERIVE, \
1328 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1330 # define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1331 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1332 EVP_PKEY_OP_DERIVE, \
1333 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
1335 # define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1336 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1337 EVP_PKEY_OP_DERIVE, \
1338 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
1340 # define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1341 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1342 EVP_PKEY_OP_DERIVE, \
1343 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
1345 # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
1346 # define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
1347 # define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
1348 # define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
1349 # define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
1350 # define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
1351 # define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
1352 # define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
1353 # define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
1354 # define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
1356 # define EVP_PKEY_ECDH_KDF_NONE 1
1357 # define EVP_PKEY_ECDH_KDF_X9_62 2
1359 /* BEGIN ERROR CODES */
1361 * The following lines are auto generated by the script mkerr.pl. Any changes
1362 * made after this point may be overwritten when the script is next run.
1365 int ERR_load_EC_strings(void);
1367 /* Error codes for the EC functions. */
1369 /* Function codes. */
1370 # define EC_F_BN_TO_FELEM 224
1371 # define EC_F_D2I_ECPARAMETERS 144
1372 # define EC_F_D2I_ECPKPARAMETERS 145
1373 # define EC_F_D2I_ECPRIVATEKEY 146
1374 # define EC_F_DO_EC_KEY_PRINT 221
1375 # define EC_F_ECDH_CMS_DECRYPT 238
1376 # define EC_F_ECDH_CMS_SET_SHARED_INFO 239
1377 # define EC_F_ECDH_COMPUTE_KEY 246
1378 # define EC_F_ECDH_SIMPLE_COMPUTE_KEY 257
1379 # define EC_F_ECDSA_DO_SIGN_EX 251
1380 # define EC_F_ECDSA_DO_VERIFY 252
1381 # define EC_F_ECDSA_SIGN_EX 254
1382 # define EC_F_ECDSA_SIGN_SETUP 248
1383 # define EC_F_ECDSA_SIG_NEW 265
1384 # define EC_F_ECDSA_VERIFY 253
1385 # define EC_F_ECKEY_PARAM2TYPE 223
1386 # define EC_F_ECKEY_PARAM_DECODE 212
1387 # define EC_F_ECKEY_PRIV_DECODE 213
1388 # define EC_F_ECKEY_PRIV_ENCODE 214
1389 # define EC_F_ECKEY_PUB_DECODE 215
1390 # define EC_F_ECKEY_PUB_ENCODE 216
1391 # define EC_F_ECKEY_TYPE2PARAM 220
1392 # define EC_F_ECPARAMETERS_PRINT 147
1393 # define EC_F_ECPARAMETERS_PRINT_FP 148
1394 # define EC_F_ECPKPARAMETERS_PRINT 149
1395 # define EC_F_ECPKPARAMETERS_PRINT_FP 150
1396 # define EC_F_ECP_NISTZ256_GET_AFFINE 240
1397 # define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE 243
1398 # define EC_F_ECP_NISTZ256_POINTS_MUL 241
1399 # define EC_F_ECP_NISTZ256_PRE_COMP_NEW 244
1400 # define EC_F_ECP_NISTZ256_WINDOWED_MUL 242
1401 # define EC_F_ECX_KEY_OP 266
1402 # define EC_F_ECX_PRIV_ENCODE 267
1403 # define EC_F_ECX_PUB_ENCODE 268
1404 # define EC_F_EC_ASN1_GROUP2CURVE 153
1405 # define EC_F_EC_ASN1_GROUP2FIELDID 154
1406 # define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1407 # define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1408 # define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1409 # define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1410 # define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1411 # define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1412 # define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1413 # define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1414 # define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1415 # define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1416 # define EC_F_EC_GFP_MONT_FIELD_MUL 131
1417 # define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1418 # define EC_F_EC_GFP_MONT_FIELD_SQR 132
1419 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1420 # define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1421 # define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1422 # define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1423 # define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1424 # define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1425 # define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1426 # define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1427 # define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1428 # define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1429 # define EC_F_EC_GFP_NIST_FIELD_MUL 200
1430 # define EC_F_EC_GFP_NIST_FIELD_SQR 201
1431 # define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1432 # define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1433 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1434 # define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1435 # define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1436 # define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1437 # define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1438 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1439 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1440 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1441 # define EC_F_EC_GROUP_CHECK 170
1442 # define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1443 # define EC_F_EC_GROUP_COPY 106
1444 # define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1445 # define EC_F_EC_GROUP_GET_CURVE_GFP 130
1446 # define EC_F_EC_GROUP_GET_DEGREE 173
1447 # define EC_F_EC_GROUP_GET_ECPARAMETERS 261
1448 # define EC_F_EC_GROUP_GET_ECPKPARAMETERS 262
1449 # define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1450 # define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1451 # define EC_F_EC_GROUP_NEW 108
1452 # define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1453 # define EC_F_EC_GROUP_NEW_FROM_DATA 175
1454 # define EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS 263
1455 # define EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS 264
1456 # define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1457 # define EC_F_EC_GROUP_SET_CURVE_GFP 109
1458 # define EC_F_EC_GROUP_SET_GENERATOR 111
1459 # define EC_F_EC_KEY_CHECK_KEY 177
1460 # define EC_F_EC_KEY_COPY 178
1461 # define EC_F_EC_KEY_GENERATE_KEY 179
1462 # define EC_F_EC_KEY_NEW 182
1463 # define EC_F_EC_KEY_NEW_METHOD 245
1464 # define EC_F_EC_KEY_OCT2PRIV 255
1465 # define EC_F_EC_KEY_PRINT 180
1466 # define EC_F_EC_KEY_PRINT_FP 181
1467 # define EC_F_EC_KEY_PRIV2OCT 256
1468 # define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1469 # define EC_F_EC_KEY_SIMPLE_CHECK_KEY 258
1470 # define EC_F_EC_KEY_SIMPLE_OCT2PRIV 259
1471 # define EC_F_EC_KEY_SIMPLE_PRIV2OCT 260
1472 # define EC_F_EC_POINTS_MAKE_AFFINE 136
1473 # define EC_F_EC_POINT_ADD 112
1474 # define EC_F_EC_POINT_CMP 113
1475 # define EC_F_EC_POINT_COPY 114
1476 # define EC_F_EC_POINT_DBL 115
1477 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1478 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1479 # define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1480 # define EC_F_EC_POINT_INVERT 210
1481 # define EC_F_EC_POINT_IS_AT_INFINITY 118
1482 # define EC_F_EC_POINT_IS_ON_CURVE 119
1483 # define EC_F_EC_POINT_MAKE_AFFINE 120
1484 # define EC_F_EC_POINT_NEW 121
1485 # define EC_F_EC_POINT_OCT2POINT 122
1486 # define EC_F_EC_POINT_POINT2OCT 123
1487 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1488 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1489 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1490 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1491 # define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1492 # define EC_F_EC_POINT_SET_TO_INFINITY 127
1493 # define EC_F_EC_PRE_COMP_NEW 196
1494 # define EC_F_EC_WNAF_MUL 187
1495 # define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1496 # define EC_F_I2D_ECPARAMETERS 190
1497 # define EC_F_I2D_ECPKPARAMETERS 191
1498 # define EC_F_I2D_ECPRIVATEKEY 192
1499 # define EC_F_I2O_ECPUBLICKEY 151
1500 # define EC_F_NISTP224_PRE_COMP_NEW 227
1501 # define EC_F_NISTP256_PRE_COMP_NEW 236
1502 # define EC_F_NISTP521_PRE_COMP_NEW 237
1503 # define EC_F_O2I_ECPUBLICKEY 152
1504 # define EC_F_OLD_EC_PRIV_DECODE 222
1505 # define EC_F_OSSL_ECDH_COMPUTE_KEY 247
1506 # define EC_F_OSSL_ECDSA_SIGN_SIG 249
1507 # define EC_F_OSSL_ECDSA_VERIFY_SIG 250
1508 # define EC_F_PKEY_ECX_DERIVE 269
1509 # define EC_F_PKEY_EC_CTRL 197
1510 # define EC_F_PKEY_EC_CTRL_STR 198
1511 # define EC_F_PKEY_EC_DERIVE 217
1512 # define EC_F_PKEY_EC_KEYGEN 199
1513 # define EC_F_PKEY_EC_PARAMGEN 219
1514 # define EC_F_PKEY_EC_SIGN 218
1517 # define EC_R_ASN1_ERROR 115
1518 # define EC_R_BAD_SIGNATURE 156
1519 # define EC_R_BIGNUM_OUT_OF_RANGE 144
1520 # define EC_R_BUFFER_TOO_SMALL 100
1521 # define EC_R_COORDINATES_OUT_OF_RANGE 146
1522 # define EC_R_CURVE_DOES_NOT_SUPPORT_ECDH 160
1523 # define EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING 159
1524 # define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1525 # define EC_R_DECODE_ERROR 142
1526 # define EC_R_DISCRIMINANT_IS_ZERO 118
1527 # define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1528 # define EC_R_FIELD_TOO_LARGE 143
1529 # define EC_R_GF2M_NOT_SUPPORTED 147
1530 # define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1531 # define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1532 # define EC_R_INCOMPATIBLE_OBJECTS 101
1533 # define EC_R_INVALID_ARGUMENT 112
1534 # define EC_R_INVALID_COMPRESSED_POINT 110
1535 # define EC_R_INVALID_COMPRESSION_BIT 109
1536 # define EC_R_INVALID_CURVE 141
1537 # define EC_R_INVALID_DIGEST 151
1538 # define EC_R_INVALID_DIGEST_TYPE 138
1539 # define EC_R_INVALID_ENCODING 102
1540 # define EC_R_INVALID_FIELD 103
1541 # define EC_R_INVALID_FORM 104
1542 # define EC_R_INVALID_GROUP_ORDER 122
1543 # define EC_R_INVALID_KEY 116
1544 # define EC_R_INVALID_OUTPUT_LENGTH 161
1545 # define EC_R_INVALID_PEER_KEY 133
1546 # define EC_R_INVALID_PENTANOMIAL_BASIS 132
1547 # define EC_R_INVALID_PRIVATE_KEY 123
1548 # define EC_R_INVALID_TRINOMIAL_BASIS 137
1549 # define EC_R_KDF_PARAMETER_ERROR 148
1550 # define EC_R_KEYS_NOT_SET 140
1551 # define EC_R_MISSING_PARAMETERS 124
1552 # define EC_R_MISSING_PRIVATE_KEY 125
1553 # define EC_R_NEED_NEW_SETUP_VALUES 157
1554 # define EC_R_NOT_A_NIST_PRIME 135
1555 # define EC_R_NOT_IMPLEMENTED 126
1556 # define EC_R_NOT_INITIALIZED 111
1557 # define EC_R_NO_PARAMETERS_SET 139
1558 # define EC_R_NO_PRIVATE_VALUE 154
1559 # define EC_R_OPERATION_NOT_SUPPORTED 152
1560 # define EC_R_PASSED_NULL_PARAMETER 134
1561 # define EC_R_PEER_KEY_ERROR 149
1562 # define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1563 # define EC_R_POINT_ARITHMETIC_FAILURE 155
1564 # define EC_R_POINT_AT_INFINITY 106
1565 # define EC_R_POINT_IS_NOT_ON_CURVE 107
1566 # define EC_R_RANDOM_NUMBER_GENERATION_FAILED 158
1567 # define EC_R_SHARED_INFO_ERROR 150
1568 # define EC_R_SLOT_FULL 108
1569 # define EC_R_UNDEFINED_GENERATOR 113
1570 # define EC_R_UNDEFINED_ORDER 128
1571 # define EC_R_UNKNOWN_GROUP 129
1572 # define EC_R_UNKNOWN_ORDER 114
1573 # define EC_R_UNSUPPORTED_FIELD 131
1574 # define EC_R_WRONG_CURVE_PARAMETERS 145
1575 # define EC_R_WRONG_ORDER 130