4 * Originally written by Bodo Moeller for the OpenSSL project.
7 * \file crypto/ec/ec.h Include file for the OpenSSL EC functions
8 * \author Originally written by Bodo Moeller for the OpenSSL project
10 /* ====================================================================
11 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
13 * Redistribution and use in source and binary forms, with or without
14 * modification, are permitted provided that the following conditions
17 * 1. Redistributions of source code must retain the above copyright
18 * notice, this list of conditions and the following disclaimer.
20 * 2. Redistributions in binary form must reproduce the above copyright
21 * notice, this list of conditions and the following disclaimer in
22 * the documentation and/or other materials provided with the
25 * 3. All advertising materials mentioning features or use of this
26 * software must display the following acknowledgment:
27 * "This product includes software developed by the OpenSSL Project
28 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
30 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
31 * endorse or promote products derived from this software without
32 * prior written permission. For written permission, please contact
33 * openssl-core@openssl.org.
35 * 5. Products derived from this software may not be called "OpenSSL"
36 * nor may "OpenSSL" appear in their names without prior written
37 * permission of the OpenSSL Project.
39 * 6. Redistributions of any form whatsoever must retain the following
41 * "This product includes software developed by the OpenSSL Project
42 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
44 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
45 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
46 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
47 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
48 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
49 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
50 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
51 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
52 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
53 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
54 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
55 * OF THE POSSIBILITY OF SUCH DAMAGE.
56 * ====================================================================
58 * This product includes cryptographic software written by Eric Young
59 * (eay@cryptsoft.com). This product includes software written by Tim
60 * Hudson (tjh@cryptsoft.com).
63 /* ====================================================================
64 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
66 * Portions of the attached software ("Contribution") are developed by
67 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
69 * The Contribution is licensed pursuant to the OpenSSL open source
70 * license provided above.
72 * The elliptic curve binary polynomial software is originally written by
73 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
80 # include <openssl/opensslconf.h>
83 # error EC is disabled.
86 # include <openssl/asn1.h>
87 # include <openssl/symhacks.h>
88 # if OPENSSL_API_COMPAT < 0x10100000L
89 # include <openssl/bn.h>
94 # elif defined(__SUNPRO_C)
95 # if __SUNPRO_C >= 0x520
96 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
100 # ifndef OPENSSL_ECC_MAX_FIELD_BITS
101 # define OPENSSL_ECC_MAX_FIELD_BITS 661
104 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
105 * for the encoding of a elliptic curve point (x,y) */
107 /** the point is encoded as z||x, where the octet z specifies
108 * which solution of the quadratic equation y is */
109 POINT_CONVERSION_COMPRESSED = 2,
110 /** the point is encoded as z||x||y, where z is the octet 0x04 */
111 POINT_CONVERSION_UNCOMPRESSED = 4,
112 /** the point is encoded as z||x||y, where the octet z specifies
113 * which solution of the quadratic equation y is */
114 POINT_CONVERSION_HYBRID = 6
115 } point_conversion_form_t;
117 typedef struct ec_method_st EC_METHOD;
118 typedef struct ec_group_st EC_GROUP;
119 typedef struct ec_point_st EC_POINT;
120 typedef struct ecpk_parameters_st ECPKPARAMETERS;
121 typedef struct ec_parameters_st ECPARAMETERS;
123 /********************************************************************/
124 /* EC_METHODs for curves over GF(p) */
125 /********************************************************************/
127 /** Returns the basic GFp ec methods which provides the basis for the
129 * \return EC_METHOD object
131 const EC_METHOD *EC_GFp_simple_method(void);
133 /** Returns GFp methods using montgomery multiplication.
134 * \return EC_METHOD object
136 const EC_METHOD *EC_GFp_mont_method(void);
138 /** Returns GFp methods using optimized methods for NIST recommended curves
139 * \return EC_METHOD object
141 const EC_METHOD *EC_GFp_nist_method(void);
143 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
144 # ifndef OPENSSL_SYS_WIN32
145 /** Returns 64-bit optimized methods for nistp224
146 * \return EC_METHOD object
148 const EC_METHOD *EC_GFp_nistp224_method(void);
150 /** Returns 64-bit optimized methods for nistp256
151 * \return EC_METHOD object
153 const EC_METHOD *EC_GFp_nistp256_method(void);
155 /** Returns 64-bit optimized methods for nistp521
156 * \return EC_METHOD object
158 const EC_METHOD *EC_GFp_nistp521_method(void);
162 # ifndef OPENSSL_NO_EC2M
163 /********************************************************************/
164 /* EC_METHOD for curves over GF(2^m) */
165 /********************************************************************/
167 /** Returns the basic GF2m ec method
168 * \return EC_METHOD object
170 const EC_METHOD *EC_GF2m_simple_method(void);
174 /********************************************************************/
175 /* EC_GROUP functions */
176 /********************************************************************/
178 /** Creates a new EC_GROUP object
179 * \param meth EC_METHOD to use
180 * \return newly created EC_GROUP object or NULL in case of an error.
182 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
184 /** Frees a EC_GROUP object
185 * \param group EC_GROUP object to be freed.
187 void EC_GROUP_free(EC_GROUP *group);
189 /** Clears and frees a EC_GROUP object
190 * \param group EC_GROUP object to be cleared and freed.
192 void EC_GROUP_clear_free(EC_GROUP *group);
194 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
195 * \param dst destination EC_GROUP object
196 * \param src source EC_GROUP object
197 * \return 1 on success and 0 if an error occurred.
199 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
201 /** Creates a new EC_GROUP object and copies the copies the content
202 * form src to the newly created EC_KEY object
203 * \param src source EC_GROUP object
204 * \return newly created EC_GROUP object or NULL in case of an error.
206 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
208 /** Returns the EC_METHOD of the EC_GROUP object.
209 * \param group EC_GROUP object
210 * \return EC_METHOD used in this EC_GROUP object.
212 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
214 /** Returns the field type of the EC_METHOD.
215 * \param meth EC_METHOD object
216 * \return NID of the underlying field type OID.
218 int EC_METHOD_get_field_type(const EC_METHOD *meth);
220 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
221 * \param group EC_GROUP object
222 * \param generator EC_POINT object with the generator.
223 * \param order the order of the group generated by the generator.
224 * \param cofactor the index of the sub-group generated by the generator
225 * in the group of all points on the elliptic curve.
226 * \return 1 on success and 0 if an error occurred
228 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
229 const BIGNUM *order, const BIGNUM *cofactor);
231 /** Returns the generator of a EC_GROUP object.
232 * \param group EC_GROUP object
233 * \return the currently used generator (possibly NULL).
235 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
237 /** Returns the montgomery data for order(Generator)
238 * \param group EC_GROUP object
239 * \return the currently used generator (possibly NULL).
241 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
243 /** Gets the order of a EC_GROUP
244 * \param group EC_GROUP object
245 * \param order BIGNUM to which the order is copied
247 * \return 1 on success and 0 if an error occurred
249 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
251 /** Gets the order of an EC_GROUP
252 * \param group EC_GROUP object
253 * \return the group order
256 const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
258 /** Gets the number of bits of ther order of an EC_GROUP
259 * \param group EC_GROUP object
260 * \return number of bits of group order.
263 int EC_GROUP_order_bits(const EC_GROUP *group);
265 /** Gets the cofactor of a EC_GROUP
266 * \param group EC_GROUP object
267 * \param cofactor BIGNUM to which the cofactor is copied
269 * \return 1 on success and 0 if an error occurred
271 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
274 /** Gets the cofactor of an EC_GROUP
275 * \param group EC_GROUP object
276 * \return the group cofactor
279 const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group);
281 /** Sets the name of a EC_GROUP object
282 * \param group EC_GROUP object
283 * \param nid NID of the curve name OID
285 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
287 /** Returns the curve name of a EC_GROUP object
288 * \param group EC_GROUP object
289 * \return NID of the curve name OID or 0 if not set.
291 int EC_GROUP_get_curve_name(const EC_GROUP *group);
293 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
294 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
296 void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
297 point_conversion_form_t form);
298 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
300 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
301 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
302 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
304 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
305 * \param group EC_GROUP object
306 * \param p BIGNUM with the prime number
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 occurred
312 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
313 const BIGNUM *b, BN_CTX *ctx);
315 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
316 * \param group EC_GROUP object
317 * \param p BIGNUM for the prime number
318 * \param a BIGNUM for parameter a of the equation
319 * \param b BIGNUM for parameter b of the equation
320 * \param ctx BN_CTX object (optional)
321 * \return 1 on success and 0 if an error occurred
323 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
324 BIGNUM *b, BN_CTX *ctx);
326 # ifndef OPENSSL_NO_EC2M
327 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
328 * \param group EC_GROUP object
329 * \param p BIGNUM with the polynomial defining the underlying field
330 * \param a BIGNUM with parameter a of the equation
331 * \param b BIGNUM with parameter b of the equation
332 * \param ctx BN_CTX object (optional)
333 * \return 1 on success and 0 if an error occurred
335 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
336 const BIGNUM *b, BN_CTX *ctx);
338 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
339 * \param group EC_GROUP object
340 * \param p BIGNUM for the polynomial defining the underlying field
341 * \param a BIGNUM for parameter a of the equation
342 * \param b BIGNUM for parameter b of the equation
343 * \param ctx BN_CTX object (optional)
344 * \return 1 on success and 0 if an error occurred
346 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
347 BIGNUM *b, BN_CTX *ctx);
349 /** Returns the number of bits needed to represent a field element
350 * \param group EC_GROUP object
351 * \return number of bits needed to represent a field element
353 int EC_GROUP_get_degree(const EC_GROUP *group);
355 /** Checks whether the parameter in the EC_GROUP define a valid ec group
356 * \param group EC_GROUP object
357 * \param ctx BN_CTX object (optional)
358 * \return 1 if group is a valid ec group and 0 otherwise
360 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
362 /** Checks whether the discriminant of the elliptic curve is zero or not
363 * \param group EC_GROUP object
364 * \param ctx BN_CTX object (optional)
365 * \return 1 if the discriminant is not zero and 0 otherwise
367 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
369 /** Compares two EC_GROUP objects
370 * \param a first EC_GROUP object
371 * \param b second EC_GROUP object
372 * \param ctx BN_CTX object (optional)
373 * \return 0 if both groups are equal and 1 otherwise
375 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
378 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
379 * choosing an appropriate EC_METHOD
382 /** Creates a new EC_GROUP object with the specified parameters defined
383 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
384 * \param p BIGNUM with the prime number
385 * \param a BIGNUM with the parameter a of the equation
386 * \param b BIGNUM with the parameter b of the equation
387 * \param ctx BN_CTX object (optional)
388 * \return newly created EC_GROUP object with the specified parameters
390 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
391 const BIGNUM *b, BN_CTX *ctx);
392 # ifndef OPENSSL_NO_EC2M
393 /** Creates a new EC_GROUP object with the specified parameters defined
394 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
395 * \param p BIGNUM with the polynomial defining the underlying field
396 * \param a BIGNUM with the parameter a of the equation
397 * \param b BIGNUM with the parameter b of the equation
398 * \param ctx BN_CTX object (optional)
399 * \return newly created EC_GROUP object with the specified parameters
401 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
402 const BIGNUM *b, BN_CTX *ctx);
405 /** Creates a EC_GROUP object with a curve specified by a NID
406 * \param nid NID of the OID of the curve name
407 * \return newly created EC_GROUP object with specified curve or NULL
408 * if an error occurred
410 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
412 /** Creates a new EC_GROUP object from an ECPARAMETERS object
413 * \param params pointer to the ECPARAMETERS object
414 * \return newly created EC_GROUP object with specified curve or NULL
415 * if an error occurred
417 EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params);
419 /** Creates an ECPARAMETERS object for the the given EC_GROUP object.
420 * \param group pointer to the EC_GROUP object
421 * \param params pointer to an existing ECPARAMETERS object or NULL
422 * \return pointer to the new ECPARAMETERS object or NULL
423 * if an error occurred.
425 ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
426 ECPARAMETERS *params);
428 /** Creates a new EC_GROUP object from an ECPKPARAMETERS object
429 * \param params pointer to an existing ECPKPARAMETERS object, or NULL
430 * \return newly created EC_GROUP object with specified curve, or NULL
431 * if an error occurred
433 EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params);
435 /** Creates an ECPKPARAMETERS object for the the given EC_GROUP object.
436 * \param group pointer to the EC_GROUP object
437 * \param params pointer to an existing ECPKPARAMETERS object or NULL
438 * \return pointer to the new ECPKPARAMETERS object or NULL
439 * if an error occurred.
441 ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
442 ECPKPARAMETERS *params);
444 /********************************************************************/
445 /* handling of internal curves */
446 /********************************************************************/
454 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
455 * available curves or zero if a error occurred. In case r ist not zero
456 * nitems EC_builtin_curve structures are filled with the data of the first
457 * nitems internal groups
459 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
461 const char *EC_curve_nid2nist(int nid);
462 int EC_curve_nist2nid(const char *name);
464 /********************************************************************/
465 /* EC_POINT functions */
466 /********************************************************************/
468 /** Creates a new EC_POINT object for the specified EC_GROUP
469 * \param group EC_GROUP the underlying EC_GROUP object
470 * \return newly created EC_POINT object or NULL if an error occurred
472 EC_POINT *EC_POINT_new(const EC_GROUP *group);
474 /** Frees a EC_POINT object
475 * \param point EC_POINT object to be freed
477 void EC_POINT_free(EC_POINT *point);
479 /** Clears and frees a EC_POINT object
480 * \param point EC_POINT object to be cleared and freed
482 void EC_POINT_clear_free(EC_POINT *point);
484 /** Copies EC_POINT object
485 * \param dst destination EC_POINT object
486 * \param src source EC_POINT object
487 * \return 1 on success and 0 if an error occurred
489 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
491 /** Creates a new EC_POINT object and copies the content of the supplied
493 * \param src source EC_POINT object
494 * \param group underlying the EC_GROUP object
495 * \return newly created EC_POINT object or NULL if an error occurred
497 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
499 /** Returns the EC_METHOD used in EC_POINT object
500 * \param point EC_POINT object
501 * \return the EC_METHOD used
503 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
505 /** Sets a point to infinity (neutral element)
506 * \param group underlying EC_GROUP object
507 * \param point EC_POINT to set to infinity
508 * \return 1 on success and 0 if an error occurred
510 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
512 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
513 * \param group underlying EC_GROUP object
514 * \param p EC_POINT object
515 * \param x BIGNUM with the x-coordinate
516 * \param y BIGNUM with the y-coordinate
517 * \param z BIGNUM with the z-coordinate
518 * \param ctx BN_CTX object (optional)
519 * \return 1 on success and 0 if an error occurred
521 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
522 EC_POINT *p, const BIGNUM *x,
523 const BIGNUM *y, const BIGNUM *z,
526 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
527 * \param group underlying EC_GROUP object
528 * \param p EC_POINT object
529 * \param x BIGNUM for the x-coordinate
530 * \param y BIGNUM for the y-coordinate
531 * \param z BIGNUM for the z-coordinate
532 * \param ctx BN_CTX object (optional)
533 * \return 1 on success and 0 if an error occurred
535 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
536 const EC_POINT *p, BIGNUM *x,
537 BIGNUM *y, BIGNUM *z,
540 /** Sets the affine coordinates of a EC_POINT over GFp
541 * \param group underlying EC_GROUP object
542 * \param p EC_POINT object
543 * \param x BIGNUM with the x-coordinate
544 * \param y BIGNUM with the y-coordinate
545 * \param ctx BN_CTX object (optional)
546 * \return 1 on success and 0 if an error occurred
548 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
549 const BIGNUM *x, const BIGNUM *y,
552 /** Gets the affine coordinates of a EC_POINT over GFp
553 * \param group underlying EC_GROUP object
554 * \param p EC_POINT object
555 * \param x BIGNUM for the x-coordinate
556 * \param y BIGNUM for the y-coordinate
557 * \param ctx BN_CTX object (optional)
558 * \return 1 on success and 0 if an error occurred
560 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
561 const EC_POINT *p, BIGNUM *x,
562 BIGNUM *y, BN_CTX *ctx);
564 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
565 * \param group underlying EC_GROUP object
566 * \param p EC_POINT object
567 * \param x BIGNUM with x-coordinate
568 * \param y_bit integer with the y-Bit (either 0 or 1)
569 * \param ctx BN_CTX object (optional)
570 * \return 1 on success and 0 if an error occurred
572 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
573 EC_POINT *p, const BIGNUM *x,
574 int y_bit, BN_CTX *ctx);
575 # ifndef OPENSSL_NO_EC2M
576 /** Sets the affine coordinates of a EC_POINT over GF2m
577 * \param group underlying EC_GROUP object
578 * \param p EC_POINT object
579 * \param x BIGNUM with the x-coordinate
580 * \param y BIGNUM with the y-coordinate
581 * \param ctx BN_CTX object (optional)
582 * \return 1 on success and 0 if an error occurred
584 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
585 const BIGNUM *x, const BIGNUM *y,
588 /** Gets the affine coordinates of a EC_POINT over GF2m
589 * \param group underlying EC_GROUP object
590 * \param p EC_POINT object
591 * \param x BIGNUM for the x-coordinate
592 * \param y BIGNUM for the y-coordinate
593 * \param ctx BN_CTX object (optional)
594 * \return 1 on success and 0 if an error occurred
596 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
597 const EC_POINT *p, BIGNUM *x,
598 BIGNUM *y, BN_CTX *ctx);
600 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
601 * \param group underlying EC_GROUP object
602 * \param p EC_POINT object
603 * \param x BIGNUM with x-coordinate
604 * \param y_bit integer with the y-Bit (either 0 or 1)
605 * \param ctx BN_CTX object (optional)
606 * \return 1 on success and 0 if an error occurred
608 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
609 EC_POINT *p, const BIGNUM *x,
610 int y_bit, BN_CTX *ctx);
612 /** Encodes a EC_POINT object to a octet string
613 * \param group underlying EC_GROUP object
614 * \param p EC_POINT object
615 * \param form point conversion form
616 * \param buf memory buffer for the result. If NULL the function returns
617 * required buffer size.
618 * \param len length of the memory buffer
619 * \param ctx BN_CTX object (optional)
620 * \return the length of the encoded octet string or 0 if an error occurred
622 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
623 point_conversion_form_t form,
624 unsigned char *buf, size_t len, BN_CTX *ctx);
626 /** Decodes a EC_POINT from a octet string
627 * \param group underlying EC_GROUP object
628 * \param p EC_POINT object
629 * \param buf memory buffer with the encoded ec point
630 * \param len length of the encoded ec point
631 * \param ctx BN_CTX object (optional)
632 * \return 1 on success and 0 if an error occurred
634 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
635 const unsigned char *buf, size_t len, BN_CTX *ctx);
637 /** Encodes an EC_POINT object to an allocated octet string
638 * \param group underlying EC_GROUP object
639 * \param point EC_POINT object
640 * \param form point conversion form
641 * \param pbuf returns pointer to allocated buffer
642 * \param len length of the memory buffer
643 * \param ctx BN_CTX object (optional)
644 * \return the length of the encoded octet string or 0 if an error occurred
647 size_t EC_POINT_point2buf(const EC_GROUP *group, const EC_POINT *point,
648 point_conversion_form_t form,
649 unsigned char **pbuf, BN_CTX *ctx);
651 /* other interfaces to point2oct/oct2point: */
652 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
653 point_conversion_form_t form, BIGNUM *, BN_CTX *);
654 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
655 EC_POINT *, BN_CTX *);
656 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
657 point_conversion_form_t form, BN_CTX *);
658 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
659 EC_POINT *, BN_CTX *);
661 /********************************************************************/
662 /* functions for doing EC_POINT arithmetic */
663 /********************************************************************/
665 /** Computes the sum of two EC_POINT
666 * \param group underlying EC_GROUP object
667 * \param r EC_POINT object for the result (r = a + b)
668 * \param a EC_POINT object with the first summand
669 * \param b EC_POINT object with the second summand
670 * \param ctx BN_CTX object (optional)
671 * \return 1 on success and 0 if an error occurred
673 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
674 const EC_POINT *b, BN_CTX *ctx);
676 /** Computes the double of a EC_POINT
677 * \param group underlying EC_GROUP object
678 * \param r EC_POINT object for the result (r = 2 * a)
679 * \param a EC_POINT object
680 * \param ctx BN_CTX object (optional)
681 * \return 1 on success and 0 if an error occurred
683 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
686 /** Computes the inverse of a EC_POINT
687 * \param group underlying EC_GROUP object
688 * \param a EC_POINT object to be inverted (it's used for the result as well)
689 * \param ctx BN_CTX object (optional)
690 * \return 1 on success and 0 if an error occurred
692 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
694 /** Checks whether the point is the neutral element of the group
695 * \param group the underlying EC_GROUP object
696 * \param p EC_POINT object
697 * \return 1 if the point is the neutral element and 0 otherwise
699 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
701 /** Checks whether the point is on the curve
702 * \param group underlying EC_GROUP object
703 * \param point EC_POINT object to check
704 * \param ctx BN_CTX object (optional)
705 * \return 1 if point if on the curve and 0 otherwise
707 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
710 /** Compares two EC_POINTs
711 * \param group underlying EC_GROUP object
712 * \param a first EC_POINT object
713 * \param b second EC_POINT object
714 * \param ctx BN_CTX object (optional)
715 * \return 0 if both points are equal and a value != 0 otherwise
717 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
720 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
721 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
722 EC_POINT *points[], BN_CTX *ctx);
724 /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
725 * \param group underlying EC_GROUP object
726 * \param r EC_POINT object for the result
727 * \param n BIGNUM with the multiplier for the group generator (optional)
728 * \param num number futher summands
729 * \param p array of size num of EC_POINT objects
730 * \param m array of size num of BIGNUM objects
731 * \param ctx BN_CTX object (optional)
732 * \return 1 on success and 0 if an error occurred
734 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
735 size_t num, const EC_POINT *p[], const BIGNUM *m[],
738 /** Computes r = generator * n + q * m
739 * \param group underlying EC_GROUP object
740 * \param r EC_POINT object for the result
741 * \param n BIGNUM with the multiplier for the group generator (optional)
742 * \param q EC_POINT object with the first factor of the second summand
743 * \param m BIGNUM with the second factor of the second summand
744 * \param ctx BN_CTX object (optional)
745 * \return 1 on success and 0 if an error occurred
747 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
748 const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
750 /** Stores multiples of generator for faster point multiplication
751 * \param group EC_GROUP object
752 * \param ctx BN_CTX object (optional)
753 * \return 1 on success and 0 if an error occurred
755 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
757 /** Reports whether a precomputation has been done
758 * \param group EC_GROUP object
759 * \return 1 if a pre-computation has been done and 0 otherwise
761 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
763 /********************************************************************/
765 /********************************************************************/
767 DECLARE_ASN1_ITEM(ECPKPARAMETERS)
768 DECLARE_ASN1_ITEM(ECPARAMETERS)
771 * EC_GROUP_get_basis_type() returns the NID of the basis type used to
772 * represent the field elements
774 int EC_GROUP_get_basis_type(const EC_GROUP *);
775 # ifndef OPENSSL_NO_EC2M
776 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
777 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
778 unsigned int *k2, unsigned int *k3);
781 # define OPENSSL_EC_EXPLICIT_CURVE 0x000
782 # define OPENSSL_EC_NAMED_CURVE 0x001
784 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
785 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
787 # define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
788 # define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
789 # define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
790 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
791 # define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
792 (unsigned char *)(x))
794 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
795 # ifndef OPENSSL_NO_STDIO
796 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
799 /********************************************************************/
800 /* EC_KEY functions */
801 /********************************************************************/
803 /* some values for the encoding_flag */
804 # define EC_PKEY_NO_PARAMETERS 0x001
805 # define EC_PKEY_NO_PUBKEY 0x002
807 /* some values for the flags field */
808 # define EC_FLAG_NON_FIPS_ALLOW 0x1
809 # define EC_FLAG_FIPS_CHECKED 0x2
810 # define EC_FLAG_COFACTOR_ECDH 0x1000
812 /** Creates a new EC_KEY object.
813 * \return EC_KEY object or NULL if an error occurred.
815 EC_KEY *EC_KEY_new(void);
817 int EC_KEY_get_flags(const EC_KEY *key);
819 void EC_KEY_set_flags(EC_KEY *key, int flags);
821 void EC_KEY_clear_flags(EC_KEY *key, int flags);
823 /** Creates a new EC_KEY object using a named curve as underlying
825 * \param nid NID of the named curve.
826 * \return EC_KEY object or NULL if an error occurred.
828 EC_KEY *EC_KEY_new_by_curve_name(int nid);
830 /** Frees a EC_KEY object.
831 * \param key EC_KEY object to be freed.
833 void EC_KEY_free(EC_KEY *key);
835 /** Copies a EC_KEY object.
836 * \param dst destination EC_KEY object
837 * \param src src EC_KEY object
838 * \return dst or NULL if an error occurred.
840 EC_KEY *EC_KEY_copy(EC_KEY *dst, EC_KEY *src);
842 /** Creates a new EC_KEY object and copies the content from src to it.
843 * \param src the source EC_KEY object
844 * \return newly created EC_KEY object or NULL if an error occurred.
846 EC_KEY *EC_KEY_dup(EC_KEY *src);
848 /** Increases the internal reference count of a EC_KEY object.
849 * \param key EC_KEY object
850 * \return 1 on success and 0 if an error occurred.
852 int EC_KEY_up_ref(EC_KEY *key);
854 /** Returns the EC_GROUP object of a EC_KEY object
855 * \param key EC_KEY object
856 * \return the EC_GROUP object (possibly NULL).
858 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
860 /** Sets the EC_GROUP of a EC_KEY object.
861 * \param key EC_KEY object
862 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
863 * object will use an own copy of the EC_GROUP).
864 * \return 1 on success and 0 if an error occurred.
866 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
868 /** Returns the private key of a EC_KEY object.
869 * \param key EC_KEY object
870 * \return a BIGNUM with the private key (possibly NULL).
872 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
874 /** Sets the private key of a EC_KEY object.
875 * \param key EC_KEY object
876 * \param prv BIGNUM with the private key (note: the EC_KEY object
877 * will use an own copy of the BIGNUM).
878 * \return 1 on success and 0 if an error occurred.
880 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
882 /** Returns the public key of a EC_KEY object.
883 * \param key the EC_KEY object
884 * \return a EC_POINT object with the public key (possibly NULL)
886 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
888 /** Sets the public key of a EC_KEY object.
889 * \param key EC_KEY object
890 * \param pub EC_POINT object with the public key (note: the EC_KEY object
891 * will use an own copy of the EC_POINT object).
892 * \return 1 on success and 0 if an error occurred.
894 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
896 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
897 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
898 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
899 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
901 #define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
902 CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
903 int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
904 void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
906 /* wrapper functions for the underlying EC_GROUP object */
907 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
909 /** Creates a table of pre-computed multiples of the generator to
910 * accelerate further EC_KEY operations.
911 * \param key EC_KEY object
912 * \param ctx BN_CTX object (optional)
913 * \return 1 on success and 0 if an error occurred.
915 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
917 /** Creates a new ec private (and optional a new public) key.
918 * \param key EC_KEY object
919 * \return 1 on success and 0 if an error occurred.
921 int EC_KEY_generate_key(EC_KEY *key);
923 /** Verifies that a private and/or public key is valid.
924 * \param key the EC_KEY object
925 * \return 1 on success and 0 otherwise.
927 int EC_KEY_check_key(const EC_KEY *key);
929 /** Indicates if an EC_KEY can be used for signing.
930 * \param key the EC_KEY object
931 * \return 1 if can can sign and 0 otherwise.
933 int EC_KEY_can_sign(const EC_KEY *eckey);
935 /** Sets a public key from affine coordindates performing
936 * necessary NIST PKV tests.
937 * \param key the EC_KEY object
938 * \param x public key x coordinate
939 * \param y public key y coordinate
940 * \return 1 on success and 0 otherwise.
942 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
945 /** Encodes an EC_KEY public key to an allocated octet string
946 * \param key key to encode
947 * \param form point conversion form
948 * \param pbuf returns pointer to allocated buffer
949 * \param len length of the memory buffer
950 * \param ctx BN_CTX object (optional)
951 * \return the length of the encoded octet string or 0 if an error occurred
954 size_t EC_KEY_key2buf(const EC_KEY *key, point_conversion_form_t form,
955 unsigned char **pbuf, BN_CTX *ctx);
957 /** Decodes a EC_KEY public key from a octet string
958 * \param key key to decode
959 * \param buf memory buffer with the encoded ec point
960 * \param len length of the encoded ec point
961 * \param ctx BN_CTX object (optional)
962 * \return 1 on success and 0 if an error occurred
965 int EC_KEY_oct2key(EC_KEY *key, const unsigned char *buf, size_t len,
968 /** Decodes an EC_KEY private key from an octet string
969 * \param key key to decode
970 * \param buf memory buffer with the encoded private key
971 * \param len length of the encoded key
972 * \return 1 on success and 0 if an error occurred
975 int EC_KEY_oct2priv(EC_KEY *key, unsigned char *buf, size_t len);
977 /** Encodes a EC_KEY private key to an octet string
978 * \param key key to encode
979 * \param buf memory buffer for the result. If NULL the function returns
980 * required buffer size.
981 * \param len length of the memory buffer
982 * \return the length of the encoded octet string or 0 if an error occurred
985 size_t EC_KEY_priv2oct(const EC_KEY *key, unsigned char *buf, size_t len);
987 /** Encodes an EC_KEY private key to an allocated octet string
988 * \param key key to encode
989 * \param pbuf returns pointer to allocated buffer
990 * \return the length of the encoded octet string or 0 if an error occurred
993 size_t EC_KEY_priv2buf(const EC_KEY *eckey, unsigned char **pbuf);
995 /********************************************************************/
996 /* de- and encoding functions for SEC1 ECPrivateKey */
997 /********************************************************************/
999 /** Decodes a private key from a memory buffer.
1000 * \param key a pointer to a EC_KEY object which should be used (or NULL)
1001 * \param in pointer to memory with the DER encoded private key
1002 * \param len length of the DER encoded private key
1003 * \return the decoded private key or NULL if an error occurred.
1005 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
1007 /** Encodes a private key object and stores the result in a buffer.
1008 * \param key the EC_KEY object to encode
1009 * \param out the buffer for the result (if NULL the function returns number
1011 * \return 1 on success and 0 if an error occurred.
1013 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
1015 /********************************************************************/
1016 /* de- and encoding functions for EC parameters */
1017 /********************************************************************/
1019 /** Decodes ec parameter from a memory buffer.
1020 * \param key a pointer to a EC_KEY object which should be used (or NULL)
1021 * \param in pointer to memory with the DER encoded ec parameters
1022 * \param len length of the DER encoded ec parameters
1023 * \return a EC_KEY object with the decoded parameters or NULL if an error
1026 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
1028 /** Encodes ec parameter and stores the result in a buffer.
1029 * \param key the EC_KEY object with ec parameters to encode
1030 * \param out the buffer for the result (if NULL the function returns number
1032 * \return 1 on success and 0 if an error occurred.
1034 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
1036 /********************************************************************/
1037 /* de- and encoding functions for EC public key */
1038 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
1039 /********************************************************************/
1041 /** Decodes a ec public key from a octet string.
1042 * \param key a pointer to a EC_KEY object which should be used
1043 * \param in memory buffer with the encoded public key
1044 * \param len length of the encoded public key
1045 * \return EC_KEY object with decoded public key or NULL if an error
1048 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
1050 /** Encodes a ec public key in an octet string.
1051 * \param key the EC_KEY object with the public key
1052 * \param out the buffer for the result (if NULL the function returns number
1054 * \return 1 on success and 0 if an error occurred
1056 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
1058 /** Prints out the ec parameters on human readable form.
1059 * \param bp BIO object to which the information is printed
1060 * \param key EC_KEY object
1061 * \return 1 on success and 0 if an error occurred
1063 int ECParameters_print(BIO *bp, const EC_KEY *key);
1065 /** Prints out the contents of a EC_KEY object
1066 * \param bp BIO object to which the information is printed
1067 * \param key EC_KEY object
1068 * \param off line offset
1069 * \return 1 on success and 0 if an error occurred
1071 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
1073 # ifndef OPENSSL_NO_STDIO
1074 /** Prints out the ec parameters on human readable form.
1075 * \param fp file descriptor to which the information is printed
1076 * \param key EC_KEY object
1077 * \return 1 on success and 0 if an error occurred
1079 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
1081 /** Prints out the contents of a EC_KEY object
1082 * \param fp file descriptor to which the information is printed
1083 * \param key EC_KEY object
1084 * \param off line offset
1085 * \return 1 on success and 0 if an error occurred
1087 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
1091 const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
1092 const EC_KEY_METHOD *EC_KEY_get_default_method(void);
1093 void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
1094 const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
1095 int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
1096 EC_KEY *EC_KEY_new_method(ENGINE *engine);
1098 int ECDH_KDF_X9_62(unsigned char *out, size_t outlen,
1099 const unsigned char *Z, size_t Zlen,
1100 const unsigned char *sinfo, size_t sinfolen,
1103 int ECDH_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
1105 void *(*KDF) (const void *in, size_t inlen,
1106 void *out, size_t *outlen));
1108 typedef struct ECDSA_SIG_st ECDSA_SIG;
1110 /** Allocates and initialize a ECDSA_SIG structure
1111 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1113 ECDSA_SIG *ECDSA_SIG_new(void);
1115 /** frees a ECDSA_SIG structure
1116 * \param sig pointer to the ECDSA_SIG structure
1118 void ECDSA_SIG_free(ECDSA_SIG *sig);
1120 /** DER encode content of ECDSA_SIG object (note: this function modifies *pp
1121 * (*pp += length of the DER encoded signature)).
1122 * \param sig pointer to the ECDSA_SIG object
1123 * \param pp pointer to a unsigned char pointer for the output or NULL
1124 * \return the length of the DER encoded ECDSA_SIG object or 0
1126 int i2d_ECDSA_SIG(const ECDSA_SIG *sig, unsigned char **pp);
1128 /** Decodes a DER encoded ECDSA signature (note: this function changes *pp
1130 * \param sig pointer to ECDSA_SIG pointer (may be NULL)
1131 * \param pp memory buffer with the DER encoded signature
1132 * \param len length of the buffer
1133 * \return pointer to the decoded ECDSA_SIG structure (or NULL)
1135 ECDSA_SIG *d2i_ECDSA_SIG(ECDSA_SIG **sig, const unsigned char **pp, long len);
1137 /** Accessor for r and s fields of ECDSA_SIG
1138 * \param sig pointer to ECDSA_SIG pointer
1139 * \param pr pointer to BIGNUM pointer for r (may be NULL)
1140 * \param ps pointer to BIGNUM pointer for s (may be NULL)
1142 void ECDSA_SIG_get0(BIGNUM **pr, BIGNUM **ps, const ECDSA_SIG *sig);
1144 /** Computes the ECDSA signature of the given hash value using
1145 * the supplied private key and returns the created signature.
1146 * \param dgst pointer to the hash value
1147 * \param dgst_len length of the hash value
1148 * \param eckey EC_KEY object containing a private EC key
1149 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1151 ECDSA_SIG *ECDSA_do_sign(const unsigned char *dgst, int dgst_len,
1154 /** Computes ECDSA signature of a given hash value using the supplied
1155 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1156 * \param dgst pointer to the hash value to sign
1157 * \param dgstlen length of the hash value
1158 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1159 * \param rp BIGNUM with a pre-computed rp value (optioanl),
1160 * see ECDSA_sign_setup
1161 * \param eckey EC_KEY object containing a private EC key
1162 * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
1164 ECDSA_SIG *ECDSA_do_sign_ex(const unsigned char *dgst, int dgstlen,
1165 const BIGNUM *kinv, const BIGNUM *rp,
1168 /** Verifies that the supplied signature is a valid ECDSA
1169 * signature of the supplied hash value using the supplied public key.
1170 * \param dgst pointer to the hash value
1171 * \param dgst_len length of the hash value
1172 * \param sig ECDSA_SIG structure
1173 * \param eckey EC_KEY object containing a public EC key
1174 * \return 1 if the signature is valid, 0 if the signature is invalid
1177 int ECDSA_do_verify(const unsigned char *dgst, int dgst_len,
1178 const ECDSA_SIG *sig, EC_KEY *eckey);
1180 /** Precompute parts of the signing operation
1181 * \param eckey EC_KEY object containing a private EC key
1182 * \param ctx BN_CTX object (optional)
1183 * \param kinv BIGNUM pointer for the inverse of k
1184 * \param rp BIGNUM pointer for x coordinate of k * generator
1185 * \return 1 on success and 0 otherwise
1187 int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv, BIGNUM **rp);
1189 /** Computes ECDSA signature of a given hash value using the supplied
1190 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1191 * \param type this parameter is ignored
1192 * \param dgst pointer to the hash value to sign
1193 * \param dgstlen length of the hash value
1194 * \param sig memory for the DER encoded created signature
1195 * \param siglen pointer to the length of the returned signature
1196 * \param eckey EC_KEY object containing a private EC key
1197 * \return 1 on success and 0 otherwise
1199 int ECDSA_sign(int type, const unsigned char *dgst, int dgstlen,
1200 unsigned char *sig, unsigned int *siglen, EC_KEY *eckey);
1202 /** Computes ECDSA signature of a given hash value using the supplied
1203 * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
1204 * \param type this parameter is ignored
1205 * \param dgst pointer to the hash value to sign
1206 * \param dgstlen length of the hash value
1207 * \param sig buffer to hold the DER encoded signature
1208 * \param siglen pointer to the length of the returned signature
1209 * \param kinv BIGNUM with a pre-computed inverse k (optional)
1210 * \param rp BIGNUM with a pre-computed rp value (optioanl),
1211 * see ECDSA_sign_setup
1212 * \param eckey EC_KEY object containing a private EC key
1213 * \return 1 on success and 0 otherwise
1215 int ECDSA_sign_ex(int type, const unsigned char *dgst, int dgstlen,
1216 unsigned char *sig, unsigned int *siglen,
1217 const BIGNUM *kinv, const BIGNUM *rp, EC_KEY *eckey);
1219 /** Verifies that the given signature is valid ECDSA signature
1220 * of the supplied hash value using the specified public key.
1221 * \param type this parameter is ignored
1222 * \param dgst pointer to the hash value
1223 * \param dgstlen length of the hash value
1224 * \param sig pointer to the DER encoded signature
1225 * \param siglen length of the DER encoded signature
1226 * \param eckey EC_KEY object containing a public EC key
1227 * \return 1 if the signature is valid, 0 if the signature is invalid
1230 int ECDSA_verify(int type, const unsigned char *dgst, int dgstlen,
1231 const unsigned char *sig, int siglen, EC_KEY *eckey);
1233 /** Returns the maximum length of the DER encoded signature
1234 * \param eckey EC_KEY object
1235 * \return numbers of bytes required for the DER encoded signature
1237 int ECDSA_size(const EC_KEY *eckey);
1239 /********************************************************************/
1240 /* EC_KEY_METHOD constructors, destructors, writers and accessors */
1241 /********************************************************************/
1243 EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
1244 void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
1245 void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
1246 int (*init)(EC_KEY *key),
1247 void (*finish)(EC_KEY *key),
1248 int (*copy)(EC_KEY *dest, const EC_KEY *src),
1249 int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
1250 int (*set_private)(EC_KEY *key,
1251 const BIGNUM *priv_key),
1252 int (*set_public)(EC_KEY *key,
1253 const EC_POINT *pub_key));
1255 void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
1256 int (*keygen)(EC_KEY *key));
1258 void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
1259 int (*ckey)(unsigned char **psec,
1261 const EC_POINT *pub_key,
1262 const EC_KEY *ecdh));
1264 void EC_KEY_METHOD_set_sign(EC_KEY_METHOD *meth,
1265 int (*sign)(int type, const unsigned char *dgst,
1266 int dlen, unsigned char *sig,
1267 unsigned int *siglen,
1268 const BIGNUM *kinv, const BIGNUM *r,
1270 int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1271 BIGNUM **kinvp, BIGNUM **rp),
1272 ECDSA_SIG *(*sign_sig)(const unsigned char *dgst,
1274 const BIGNUM *in_kinv,
1278 void EC_KEY_METHOD_set_verify(EC_KEY_METHOD *meth,
1279 int (*verify)(int type, const unsigned
1280 char *dgst, int dgst_len,
1281 const unsigned char *sigbuf,
1282 int sig_len, EC_KEY *eckey),
1283 int (*verify_sig)(const unsigned char *dgst,
1285 const ECDSA_SIG *sig,
1288 void EC_KEY_METHOD_get_init(EC_KEY_METHOD *meth,
1289 int (**pinit)(EC_KEY *key),
1290 void (**pfinish)(EC_KEY *key),
1291 int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
1292 int (**pset_group)(EC_KEY *key,
1293 const EC_GROUP *grp),
1294 int (**pset_private)(EC_KEY *key,
1295 const BIGNUM *priv_key),
1296 int (**pset_public)(EC_KEY *key,
1297 const EC_POINT *pub_key));
1299 void EC_KEY_METHOD_get_keygen(EC_KEY_METHOD *meth,
1300 int (**pkeygen)(EC_KEY *key));
1302 void EC_KEY_METHOD_get_compute_key(EC_KEY_METHOD *meth,
1303 int (**pck)(unsigned char **psec,
1305 const EC_POINT *pub_key,
1306 const EC_KEY *ecdh));
1308 void EC_KEY_METHOD_get_sign(EC_KEY_METHOD *meth,
1309 int (**psign)(int type, const unsigned char *dgst,
1310 int dlen, unsigned char *sig,
1311 unsigned int *siglen,
1312 const BIGNUM *kinv, const BIGNUM *r,
1314 int (**psign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
1315 BIGNUM **kinvp, BIGNUM **rp),
1316 ECDSA_SIG *(**psign_sig)(const unsigned char *dgst,
1318 const BIGNUM *in_kinv,
1322 void EC_KEY_METHOD_get_verify(EC_KEY_METHOD *meth,
1323 int (**pverify)(int type, const unsigned
1324 char *dgst, int dgst_len,
1325 const unsigned char *sigbuf,
1326 int sig_len, EC_KEY *eckey),
1327 int (**pverify_sig)(const unsigned char *dgst,
1329 const ECDSA_SIG *sig,
1332 # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
1334 # ifndef __cplusplus
1335 # if defined(__SUNPRO_C)
1336 # if __SUNPRO_C >= 0x520
1337 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
1342 # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
1343 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1344 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1345 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
1347 # define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
1348 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1349 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
1350 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
1352 # define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
1353 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1354 EVP_PKEY_OP_DERIVE, \
1355 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
1357 # define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
1358 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1359 EVP_PKEY_OP_DERIVE, \
1360 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
1362 # define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
1363 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1364 EVP_PKEY_OP_DERIVE, \
1365 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
1367 # define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
1368 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1369 EVP_PKEY_OP_DERIVE, \
1370 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1372 # define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1373 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1374 EVP_PKEY_OP_DERIVE, \
1375 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
1377 # define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1378 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1379 EVP_PKEY_OP_DERIVE, \
1380 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
1382 # define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1383 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1384 EVP_PKEY_OP_DERIVE, \
1385 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1387 # define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1388 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1389 EVP_PKEY_OP_DERIVE, \
1390 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
1392 # define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1393 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1394 EVP_PKEY_OP_DERIVE, \
1395 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
1397 # define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1398 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1399 EVP_PKEY_OP_DERIVE, \
1400 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
1402 # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
1403 # define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
1404 # define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
1405 # define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
1406 # define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
1407 # define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
1408 # define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
1409 # define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
1410 # define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
1411 # define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
1413 # define EVP_PKEY_ECDH_KDF_NONE 1
1414 # define EVP_PKEY_ECDH_KDF_X9_62 2
1416 /* BEGIN ERROR CODES */
1418 * The following lines are auto generated by the script mkerr.pl. Any changes
1419 * made after this point may be overwritten when the script is next run.
1421 void ERR_load_EC_strings(void);
1423 /* Error codes for the EC functions. */
1425 /* Function codes. */
1426 # define EC_F_BN_TO_FELEM 224
1427 # define EC_F_COMPUTE_WNAF 143
1428 # define EC_F_D2I_ECPARAMETERS 144
1429 # define EC_F_D2I_ECPKPARAMETERS 145
1430 # define EC_F_D2I_ECPRIVATEKEY 146
1431 # define EC_F_DO_EC_KEY_PRINT 221
1432 # define EC_F_ECDH_CMS_DECRYPT 238
1433 # define EC_F_ECDH_CMS_SET_SHARED_INFO 239
1434 # define EC_F_ECDH_COMPUTE_KEY 246
1435 # define EC_F_ECDH_SIMPLE_COMPUTE_KEY 257
1436 # define EC_F_ECDSA_DO_SIGN_EX 251
1437 # define EC_F_ECDSA_DO_VERIFY 252
1438 # define EC_F_ECDSA_SIGN_EX 254
1439 # define EC_F_ECDSA_SIGN_SETUP 248
1440 # define EC_F_ECDSA_VERIFY 253
1441 # define EC_F_ECKEY_PARAM2TYPE 223
1442 # define EC_F_ECKEY_PARAM_DECODE 212
1443 # define EC_F_ECKEY_PRIV_DECODE 213
1444 # define EC_F_ECKEY_PRIV_ENCODE 214
1445 # define EC_F_ECKEY_PUB_DECODE 215
1446 # define EC_F_ECKEY_PUB_ENCODE 216
1447 # define EC_F_ECKEY_TYPE2PARAM 220
1448 # define EC_F_ECPARAMETERS_PRINT 147
1449 # define EC_F_ECPARAMETERS_PRINT_FP 148
1450 # define EC_F_ECPKPARAMETERS_PRINT 149
1451 # define EC_F_ECPKPARAMETERS_PRINT_FP 150
1452 # define EC_F_ECP_NISTZ256_GET_AFFINE 240
1453 # define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE 243
1454 # define EC_F_ECP_NISTZ256_POINTS_MUL 241
1455 # define EC_F_ECP_NISTZ256_PRE_COMP_NEW 244
1456 # define EC_F_ECP_NISTZ256_WINDOWED_MUL 242
1457 # define EC_F_ECP_NIST_MOD_192 203
1458 # define EC_F_ECP_NIST_MOD_224 204
1459 # define EC_F_ECP_NIST_MOD_256 205
1460 # define EC_F_ECP_NIST_MOD_521 206
1461 # define EC_F_EC_ASN1_GROUP2CURVE 153
1462 # define EC_F_EC_ASN1_GROUP2FIELDID 154
1463 # define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1464 # define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1465 # define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1466 # define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1467 # define EC_F_EC_EX_DATA_SET_DATA 211
1468 # define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1469 # define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1470 # define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1471 # define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1472 # define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1473 # define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1474 # define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1475 # define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1476 # define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1477 # define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1478 # define EC_F_EC_GFP_MONT_FIELD_MUL 131
1479 # define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1480 # define EC_F_EC_GFP_MONT_FIELD_SQR 132
1481 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1482 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1483 # define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1484 # define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1485 # define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1486 # define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1487 # define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1488 # define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1489 # define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1490 # define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1491 # define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1492 # define EC_F_EC_GFP_NIST_FIELD_MUL 200
1493 # define EC_F_EC_GFP_NIST_FIELD_SQR 201
1494 # define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1495 # define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1496 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1497 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1498 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1499 # define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1500 # define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1501 # define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1502 # define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1503 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1504 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1505 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1506 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1507 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1508 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1509 # define EC_F_EC_GROUP_CHECK 170
1510 # define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1511 # define EC_F_EC_GROUP_COPY 106
1512 # define EC_F_EC_GROUP_GET0_GENERATOR 139
1513 # define EC_F_EC_GROUP_GET_COFACTOR 140
1514 # define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1515 # define EC_F_EC_GROUP_GET_CURVE_GFP 130
1516 # define EC_F_EC_GROUP_GET_DEGREE 173
1517 # define EC_F_EC_GROUP_GET_ECPARAMETERS 261
1518 # define EC_F_EC_GROUP_GET_ECPKPARAMETERS 262
1519 # define EC_F_EC_GROUP_GET_ORDER 141
1520 # define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1521 # define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1522 # define EC_F_EC_GROUP_NEW 108
1523 # define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1524 # define EC_F_EC_GROUP_NEW_FROM_DATA 175
1525 # define EC_F_EC_GROUP_NEW_FROM_ECPARAMETERS 263
1526 # define EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS 264
1527 # define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1528 # define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1529 # define EC_F_EC_GROUP_SET_CURVE_GFP 109
1530 # define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1531 # define EC_F_EC_GROUP_SET_GENERATOR 111
1532 # define EC_F_EC_KEY_CHECK_KEY 177
1533 # define EC_F_EC_KEY_COPY 178
1534 # define EC_F_EC_KEY_GENERATE_KEY 179
1535 # define EC_F_EC_KEY_NEW 182
1536 # define EC_F_EC_KEY_NEW_METHOD 245
1537 # define EC_F_EC_KEY_OCT2PRIV 255
1538 # define EC_F_EC_KEY_PRINT 180
1539 # define EC_F_EC_KEY_PRINT_FP 181
1540 # define EC_F_EC_KEY_PRIV2OCT 256
1541 # define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1542 # define EC_F_EC_KEY_SIMPLE_CHECK_KEY 258
1543 # define EC_F_EC_KEY_SIMPLE_OCT2PRIV 259
1544 # define EC_F_EC_KEY_SIMPLE_PRIV2OCT 260
1545 # define EC_F_EC_POINTS_MAKE_AFFINE 136
1546 # define EC_F_EC_POINT_ADD 112
1547 # define EC_F_EC_POINT_CMP 113
1548 # define EC_F_EC_POINT_COPY 114
1549 # define EC_F_EC_POINT_DBL 115
1550 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1551 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1552 # define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1553 # define EC_F_EC_POINT_INVERT 210
1554 # define EC_F_EC_POINT_IS_AT_INFINITY 118
1555 # define EC_F_EC_POINT_IS_ON_CURVE 119
1556 # define EC_F_EC_POINT_MAKE_AFFINE 120
1557 # define EC_F_EC_POINT_MUL 184
1558 # define EC_F_EC_POINT_NEW 121
1559 # define EC_F_EC_POINT_OCT2POINT 122
1560 # define EC_F_EC_POINT_POINT2OCT 123
1561 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1562 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1563 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1564 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1565 # define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1566 # define EC_F_EC_POINT_SET_TO_INFINITY 127
1567 # define EC_F_EC_PRE_COMP_DUP 207
1568 # define EC_F_EC_PRE_COMP_NEW 196
1569 # define EC_F_EC_WNAF_MUL 187
1570 # define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1571 # define EC_F_I2D_ECPARAMETERS 190
1572 # define EC_F_I2D_ECPKPARAMETERS 191
1573 # define EC_F_I2D_ECPRIVATEKEY 192
1574 # define EC_F_I2O_ECPUBLICKEY 151
1575 # define EC_F_NISTP224_PRE_COMP_NEW 227
1576 # define EC_F_NISTP256_PRE_COMP_NEW 236
1577 # define EC_F_NISTP521_PRE_COMP_NEW 237
1578 # define EC_F_O2I_ECPUBLICKEY 152
1579 # define EC_F_OLD_EC_PRIV_DECODE 222
1580 # define EC_F_OSSL_ECDH_COMPUTE_KEY 247
1581 # define EC_F_OSSL_ECDSA_SIGN_SIG 249
1582 # define EC_F_OSSL_ECDSA_VERIFY_SIG 250
1583 # define EC_F_PKEY_EC_CTRL 197
1584 # define EC_F_PKEY_EC_CTRL_STR 198
1585 # define EC_F_PKEY_EC_DERIVE 217
1586 # define EC_F_PKEY_EC_KEYGEN 199
1587 # define EC_F_PKEY_EC_PARAMGEN 219
1588 # define EC_F_PKEY_EC_SIGN 218
1591 # define EC_R_ASN1_ERROR 115
1592 # define EC_R_ASN1_UNKNOWN_FIELD 116
1593 # define EC_R_BAD_SIGNATURE 156
1594 # define EC_R_BIGNUM_OUT_OF_RANGE 144
1595 # define EC_R_BUFFER_TOO_SMALL 100
1596 # define EC_R_COORDINATES_OUT_OF_RANGE 146
1597 # define EC_R_CURVE_DOES_NOT_SUPPORT_ECDH 160
1598 # define EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING 159
1599 # define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1600 # define EC_R_DECODE_ERROR 142
1601 # define EC_R_DISCRIMINANT_IS_ZERO 118
1602 # define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1603 # define EC_R_FIELD_TOO_LARGE 143
1604 # define EC_R_GF2M_NOT_SUPPORTED 147
1605 # define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1606 # define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1607 # define EC_R_INCOMPATIBLE_OBJECTS 101
1608 # define EC_R_INVALID_ARGUMENT 112
1609 # define EC_R_INVALID_COMPRESSED_POINT 110
1610 # define EC_R_INVALID_COMPRESSION_BIT 109
1611 # define EC_R_INVALID_CURVE 141
1612 # define EC_R_INVALID_DIGEST 151
1613 # define EC_R_INVALID_DIGEST_TYPE 138
1614 # define EC_R_INVALID_ENCODING 102
1615 # define EC_R_INVALID_FIELD 103
1616 # define EC_R_INVALID_FORM 104
1617 # define EC_R_INVALID_GROUP_ORDER 122
1618 # define EC_R_INVALID_OUTPUT_LENGTH 161
1619 # define EC_R_INVALID_PENTANOMIAL_BASIS 132
1620 # define EC_R_INVALID_PRIVATE_KEY 123
1621 # define EC_R_INVALID_TRINOMIAL_BASIS 137
1622 # define EC_R_KDF_FAILED 153
1623 # define EC_R_KDF_PARAMETER_ERROR 148
1624 # define EC_R_KEYS_NOT_SET 140
1625 # define EC_R_MISSING_PARAMETERS 124
1626 # define EC_R_MISSING_PRIVATE_KEY 125
1627 # define EC_R_NEED_NEW_SETUP_VALUES 157
1628 # define EC_R_NOT_A_NIST_PRIME 135
1629 # define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1630 # define EC_R_NOT_IMPLEMENTED 126
1631 # define EC_R_NOT_INITIALIZED 111
1632 # define EC_R_NO_FIELD_MOD 133
1633 # define EC_R_NO_PARAMETERS_SET 139
1634 # define EC_R_NO_PRIVATE_VALUE 154
1635 # define EC_R_OPERATION_NOT_SUPPORTED 152
1636 # define EC_R_PASSED_NULL_PARAMETER 134
1637 # define EC_R_PEER_KEY_ERROR 149
1638 # define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1639 # define EC_R_POINT_ARITHMETIC_FAILURE 155
1640 # define EC_R_POINT_AT_INFINITY 106
1641 # define EC_R_POINT_IS_NOT_ON_CURVE 107
1642 # define EC_R_RANDOM_NUMBER_GENERATION_FAILED 158
1643 # define EC_R_SHARED_INFO_ERROR 150
1644 # define EC_R_SLOT_FULL 108
1645 # define EC_R_UNDEFINED_GENERATOR 113
1646 # define EC_R_UNDEFINED_ORDER 128
1647 # define EC_R_UNKNOWN_GROUP 129
1648 # define EC_R_UNKNOWN_ORDER 114
1649 # define EC_R_UNSUPPORTED_FIELD 131
1650 # define EC_R_WRONG_CURVE_PARAMETERS 145
1651 # define EC_R_WRONG_ORDER 130