3 * Originally written by Bodo Moeller for the OpenSSL project.
6 * \file crypto/ec/ec.h Include file for the OpenSSL EC functions
7 * \author Originally written by Bodo Moeller for the OpenSSL project
9 /* ====================================================================
10 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
12 * Redistribution and use in source and binary forms, with or without
13 * modification, are permitted provided that the following conditions
16 * 1. Redistributions of source code must retain the above copyright
17 * notice, this list of conditions and the following disclaimer.
19 * 2. Redistributions in binary form must reproduce the above copyright
20 * notice, this list of conditions and the following disclaimer in
21 * the documentation and/or other materials provided with the
24 * 3. All advertising materials mentioning features or use of this
25 * software must display the following acknowledgment:
26 * "This product includes software developed by the OpenSSL Project
27 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
29 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
30 * endorse or promote products derived from this software without
31 * prior written permission. For written permission, please contact
32 * openssl-core@openssl.org.
34 * 5. Products derived from this software may not be called "OpenSSL"
35 * nor may "OpenSSL" appear in their names without prior written
36 * permission of the OpenSSL Project.
38 * 6. Redistributions of any form whatsoever must retain the following
40 * "This product includes software developed by the OpenSSL Project
41 * for use in the OpenSSL Toolkit (http://www.openssl.org/)"
43 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
44 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
45 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
46 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
47 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
48 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
49 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
50 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
51 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
52 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
53 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
54 * OF THE POSSIBILITY OF SUCH DAMAGE.
55 * ====================================================================
57 * This product includes cryptographic software written by Eric Young
58 * (eay@cryptsoft.com). This product includes software written by Tim
59 * Hudson (tjh@cryptsoft.com).
62 /* ====================================================================
63 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
65 * Portions of the attached software ("Contribution") are developed by
66 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
68 * The Contribution is licensed pursuant to the OpenSSL open source
69 * license provided above.
71 * The elliptic curve binary polynomial software is originally written by
72 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
79 #include <openssl/opensslconf.h>
82 #error EC is disabled.
85 #include <openssl/asn1.h>
86 #include <openssl/symhacks.h>
87 #ifndef OPENSSL_NO_DEPRECATED
88 #include <openssl/bn.h>
93 #elif defined(__SUNPRO_C)
94 # if __SUNPRO_C >= 0x520
95 # 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 0x02 */
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;
118 typedef struct ec_method_st EC_METHOD;
120 typedef struct ec_group_st
124 -- curve coefficients
125 -- optional generator with associated information (order, cofactor)
126 -- optional extra data (precomputed table for fast computation of multiples of generator)
131 typedef struct ec_point_st EC_POINT;
134 /********************************************************************/
135 /* EC_METHODs for curves over GF(p) */
136 /********************************************************************/
138 /** Returns the basic GFp ec methods which provides the basis for the
140 * \return EC_METHOD object
142 const EC_METHOD *EC_GFp_simple_method(void);
144 /** Returns GFp methods using montgomery multiplication.
145 * \return EC_METHOD object
147 const EC_METHOD *EC_GFp_mont_method(void);
149 /** Returns GFp methods using optimized methods for NIST recommended curves
150 * \return EC_METHOD object
152 const EC_METHOD *EC_GFp_nist_method(void);
154 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
155 /** Returns 64-bit optimized methods for nistp224
156 * \return EC_METHOD object
158 const EC_METHOD *EC_GFp_nistp224_method(void);
160 /** Returns 64-bit optimized methods for nistp256
161 * \return EC_METHOD object
163 const EC_METHOD *EC_GFp_nistp256_method(void);
165 /** Returns 64-bit optimized methods for nistp521
166 * \return EC_METHOD object
168 const EC_METHOD *EC_GFp_nistp521_method(void);
171 #ifndef OPENSSL_NO_EC2M
172 /********************************************************************/
173 /* EC_METHOD for curves over GF(2^m) */
174 /********************************************************************/
176 /** Returns the basic GF2m ec method
177 * \return EC_METHOD object
179 const EC_METHOD *EC_GF2m_simple_method(void);
184 /********************************************************************/
185 /* EC_GROUP functions */
186 /********************************************************************/
188 /** Creates a new EC_GROUP object
189 * \param meth EC_METHOD to use
190 * \return newly created EC_GROUP object or NULL in case of an error.
192 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
194 /** Frees a EC_GROUP object
195 * \param group EC_GROUP object to be freed.
197 void EC_GROUP_free(EC_GROUP *group);
199 /** Clears and frees a EC_GROUP object
200 * \param group EC_GROUP object to be cleared and freed.
202 void EC_GROUP_clear_free(EC_GROUP *group);
204 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
205 * \param dst destination EC_GROUP object
206 * \param src source EC_GROUP object
207 * \return 1 on success and 0 if an error occurred.
209 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
211 /** Creates a new EC_GROUP object and copies the copies the content
212 * form src to the newly created EC_KEY object
213 * \param src source EC_GROUP object
214 * \return newly created EC_GROUP object or NULL in case of an error.
216 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
218 /** Returns the EC_METHOD of the EC_GROUP object.
219 * \param group EC_GROUP object
220 * \return EC_METHOD used in this EC_GROUP object.
222 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
224 /** Returns the field type of the EC_METHOD.
225 * \param meth EC_METHOD object
226 * \return NID of the underlying field type OID.
228 int EC_METHOD_get_field_type(const EC_METHOD *meth);
230 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
231 * \param group EC_GROUP object
232 * \param generator EC_POINT object with the generator.
233 * \param order the order of the group generated by the generator.
234 * \param cofactor the index of the sub-group generated by the generator
235 * in the group of all points on the elliptic curve.
236 * \return 1 on success and 0 if an error occured
238 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
240 /** Returns the generator of a EC_GROUP object.
241 * \param group EC_GROUP object
242 * \return the currently used generator (possibly NULL).
244 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
246 /** Gets the order of a EC_GROUP
247 * \param group EC_GROUP object
248 * \param order BIGNUM to which the order is copied
249 * \param ctx BN_CTX object (optional)
250 * \return 1 on success and 0 if an error occured
252 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
254 /** Gets the cofactor of a EC_GROUP
255 * \param group EC_GROUP object
256 * \param cofactor BIGNUM to which the cofactor is copied
257 * \param ctx BN_CTX object (optional)
258 * \return 1 on success and 0 if an error occured
260 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
262 /** Sets the name of a EC_GROUP object
263 * \param group EC_GROUP object
264 * \param nid NID of the curve name OID
266 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
268 /** Returns the curve name of a EC_GROUP object
269 * \param group EC_GROUP object
270 * \return NID of the curve name OID or 0 if not set.
272 int EC_GROUP_get_curve_name(const EC_GROUP *group);
274 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
275 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
277 void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
278 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
280 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
281 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
282 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
284 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
285 * \param group EC_GROUP object
286 * \param p BIGNUM with the prime number
287 * \param a BIGNUM with parameter a of the equation
288 * \param b BIGNUM with parameter b of the equation
289 * \param ctx BN_CTX object (optional)
290 * \return 1 on success and 0 if an error occured
292 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
294 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
295 * \param group EC_GROUP object
296 * \param p BIGNUM for the prime number
297 * \param a BIGNUM for parameter a of the equation
298 * \param b BIGNUM for parameter b of the equation
299 * \param ctx BN_CTX object (optional)
300 * \return 1 on success and 0 if an error occured
302 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
304 #ifndef OPENSSL_NO_EC2M
305 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
306 * \param group EC_GROUP object
307 * \param p BIGNUM with the polynomial defining the underlying field
308 * \param a BIGNUM with parameter a of the equation
309 * \param b BIGNUM with parameter b of the equation
310 * \param ctx BN_CTX object (optional)
311 * \return 1 on success and 0 if an error occured
313 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
315 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
316 * \param group EC_GROUP object
317 * \param p BIGNUM for the polynomial defining the underlying field
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 occured
323 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
325 /** Returns the number of bits needed to represent a field element
326 * \param group EC_GROUP object
327 * \return number of bits needed to represent a field element
329 int EC_GROUP_get_degree(const EC_GROUP *group);
331 /** Checks whether the parameter in the EC_GROUP define a valid ec group
332 * \param group EC_GROUP object
333 * \param ctx BN_CTX object (optional)
334 * \return 1 if group is a valid ec group and 0 otherwise
336 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
338 /** Checks whether the discriminant of the elliptic curve is zero or not
339 * \param group EC_GROUP object
340 * \param ctx BN_CTX object (optional)
341 * \return 1 if the discriminant is not zero and 0 otherwise
343 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
345 /** Compares two EC_GROUP objects
346 * \param a first EC_GROUP object
347 * \param b second EC_GROUP object
348 * \param ctx BN_CTX object (optional)
349 * \return 0 if both groups are equal and 1 otherwise
351 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
353 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
354 * after choosing an appropriate EC_METHOD */
356 /** Creates a new EC_GROUP object with the specified parameters defined
357 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
358 * \param p BIGNUM with the prime number
359 * \param a BIGNUM with the parameter a of the equation
360 * \param b BIGNUM with the parameter b of the equation
361 * \param ctx BN_CTX object (optional)
362 * \return newly created EC_GROUP object with the specified parameters
364 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
365 #ifndef OPENSSL_NO_EC2M
366 /** Creates a new EC_GROUP object with the specified parameters defined
367 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
368 * \param p BIGNUM with the polynomial defining the underlying field
369 * \param a BIGNUM with the parameter a of the equation
370 * \param b BIGNUM with the parameter b of the equation
371 * \param ctx BN_CTX object (optional)
372 * \return newly created EC_GROUP object with the specified parameters
374 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
376 /** Creates a EC_GROUP object with a curve specified by a NID
377 * \param nid NID of the OID of the curve name
378 * \return newly created EC_GROUP object with specified curve or NULL
379 * if an error occurred
381 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
384 /********************************************************************/
385 /* handling of internal curves */
386 /********************************************************************/
393 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
394 * of all available curves or zero if a error occurred.
395 * In case r ist not zero nitems EC_builtin_curve structures
396 * are filled with the data of the first nitems internal groups */
397 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
399 const char *EC_curve_nid2nist(int nid);
400 int EC_curve_nist2nid(const char *name);
402 /********************************************************************/
403 /* EC_POINT functions */
404 /********************************************************************/
406 /** Creates a new EC_POINT object for the specified EC_GROUP
407 * \param group EC_GROUP the underlying EC_GROUP object
408 * \return newly created EC_POINT object or NULL if an error occurred
410 EC_POINT *EC_POINT_new(const EC_GROUP *group);
412 /** Frees a EC_POINT object
413 * \param point EC_POINT object to be freed
415 void EC_POINT_free(EC_POINT *point);
417 /** Clears and frees a EC_POINT object
418 * \param point EC_POINT object to be cleared and freed
420 void EC_POINT_clear_free(EC_POINT *point);
422 /** Copies EC_POINT object
423 * \param dst destination EC_POINT object
424 * \param src source EC_POINT object
425 * \return 1 on success and 0 if an error occured
427 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
429 /** Creates a new EC_POINT object and copies the content of the supplied
431 * \param src source EC_POINT object
432 * \param group underlying the EC_GROUP object
433 * \return newly created EC_POINT object or NULL if an error occurred
435 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
437 /** Returns the EC_METHOD used in EC_POINT object
438 * \param point EC_POINT object
439 * \return the EC_METHOD used
441 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
443 /** Sets a point to infinity (neutral element)
444 * \param group underlying EC_GROUP object
445 * \param point EC_POINT to set to infinity
446 * \return 1 on success and 0 if an error occured
448 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
450 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
451 * \param group underlying EC_GROUP object
452 * \param p EC_POINT object
453 * \param x BIGNUM with the x-coordinate
454 * \param y BIGNUM with the y-coordinate
455 * \param z BIGNUM with the z-coordinate
456 * \param ctx BN_CTX object (optional)
457 * \return 1 on success and 0 if an error occured
459 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
460 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
462 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
463 * \param group underlying EC_GROUP object
464 * \param p EC_POINT object
465 * \param x BIGNUM for the x-coordinate
466 * \param y BIGNUM for the y-coordinate
467 * \param z BIGNUM for the z-coordinate
468 * \param ctx BN_CTX object (optional)
469 * \return 1 on success and 0 if an error occured
471 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
472 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
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 occured
482 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
483 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
485 /** Gets the affine coordinates of a EC_POINT over GFp
486 * \param group underlying EC_GROUP object
487 * \param p EC_POINT object
488 * \param x BIGNUM for the x-coordinate
489 * \param y BIGNUM for the y-coordinate
490 * \param ctx BN_CTX object (optional)
491 * \return 1 on success and 0 if an error occured
493 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
494 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
496 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
497 * \param group underlying EC_GROUP object
498 * \param p EC_POINT object
499 * \param x BIGNUM with x-coordinate
500 * \param y_bit integer with the y-Bit (either 0 or 1)
501 * \param ctx BN_CTX object (optional)
502 * \return 1 on success and 0 if an error occured
504 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
505 const BIGNUM *x, int y_bit, BN_CTX *ctx);
506 #ifndef OPENSSL_NO_EC2M
507 /** Sets the affine coordinates of a EC_POINT over GF2m
508 * \param group underlying EC_GROUP object
509 * \param p EC_POINT object
510 * \param x BIGNUM with the x-coordinate
511 * \param y BIGNUM with the y-coordinate
512 * \param ctx BN_CTX object (optional)
513 * \return 1 on success and 0 if an error occured
515 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
516 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
518 /** Gets the affine coordinates of a EC_POINT over GF2m
519 * \param group underlying EC_GROUP object
520 * \param p EC_POINT object
521 * \param x BIGNUM for the x-coordinate
522 * \param y BIGNUM for the y-coordinate
523 * \param ctx BN_CTX object (optional)
524 * \return 1 on success and 0 if an error occured
526 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
527 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
529 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
530 * \param group underlying EC_GROUP object
531 * \param p EC_POINT object
532 * \param x BIGNUM with x-coordinate
533 * \param y_bit integer with the y-Bit (either 0 or 1)
534 * \param ctx BN_CTX object (optional)
535 * \return 1 on success and 0 if an error occured
537 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
538 const BIGNUM *x, int y_bit, BN_CTX *ctx);
540 /** Encodes a EC_POINT object to a octet string
541 * \param group underlying EC_GROUP object
542 * \param p EC_POINT object
543 * \param form point conversion form
544 * \param buf memory buffer for the result. If NULL the function returns
545 * required buffer size.
546 * \param len length of the memory buffer
547 * \param ctx BN_CTX object (optional)
548 * \return the length of the encoded octet string or 0 if an error occurred
550 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
551 point_conversion_form_t form,
552 unsigned char *buf, size_t len, BN_CTX *ctx);
554 /** Decodes a EC_POINT from a octet string
555 * \param group underlying EC_GROUP object
556 * \param p EC_POINT object
557 * \param buf memory buffer with the encoded ec point
558 * \param len length of the encoded ec point
559 * \param ctx BN_CTX object (optional)
560 * \return 1 on success and 0 if an error occured
562 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
563 const unsigned char *buf, size_t len, BN_CTX *ctx);
565 /* other interfaces to point2oct/oct2point: */
566 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
567 point_conversion_form_t form, BIGNUM *, BN_CTX *);
568 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
569 EC_POINT *, BN_CTX *);
570 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
571 point_conversion_form_t form, BN_CTX *);
572 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
573 EC_POINT *, BN_CTX *);
576 /********************************************************************/
577 /* functions for doing EC_POINT arithmetic */
578 /********************************************************************/
580 /** Computes the sum of two EC_POINT
581 * \param group underlying EC_GROUP object
582 * \param r EC_POINT object for the result (r = a + b)
583 * \param a EC_POINT object with the first summand
584 * \param b EC_POINT object with the second summand
585 * \param ctx BN_CTX object (optional)
586 * \return 1 on success and 0 if an error occured
588 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
590 /** Computes the double of a EC_POINT
591 * \param group underlying EC_GROUP object
592 * \param r EC_POINT object for the result (r = 2 * a)
593 * \param a EC_POINT object
594 * \param ctx BN_CTX object (optional)
595 * \return 1 on success and 0 if an error occured
597 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
599 /** Computes the inverse of a EC_POINT
600 * \param group underlying EC_GROUP object
601 * \param a EC_POINT object to be inverted (it's used for the result as well)
602 * \param ctx BN_CTX object (optional)
603 * \return 1 on success and 0 if an error occured
605 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
607 /** Checks whether the point is the neutral element of the group
608 * \param group the underlying EC_GROUP object
609 * \param p EC_POINT object
610 * \return 1 if the point is the neutral element and 0 otherwise
612 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
614 /** Checks whether the point is on the curve
615 * \param group underlying EC_GROUP object
616 * \param point EC_POINT object to check
617 * \param ctx BN_CTX object (optional)
618 * \return 1 if point if on the curve and 0 otherwise
620 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
622 /** Compares two EC_POINTs
623 * \param group underlying EC_GROUP object
624 * \param a first EC_POINT object
625 * \param b second EC_POINT object
626 * \param ctx BN_CTX object (optional)
627 * \return 0 if both points are equal and a value != 0 otherwise
629 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
631 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
632 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
634 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
635 * \param group underlying EC_GROUP object
636 * \param r EC_POINT object for the result
637 * \param n BIGNUM with the multiplier for the group generator (optional)
638 * \param num number futher summands
639 * \param p array of size num of EC_POINT objects
640 * \param m array of size num of BIGNUM objects
641 * \param ctx BN_CTX object (optional)
642 * \return 1 on success and 0 if an error occured
644 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
646 /** Computes r = generator * n + q * m
647 * \param group underlying EC_GROUP object
648 * \param r EC_POINT object for the result
649 * \param n BIGNUM with the multiplier for the group generator (optional)
650 * \param q EC_POINT object with the first factor of the second summand
651 * \param m BIGNUM with the second factor of the second summand
652 * \param ctx BN_CTX object (optional)
653 * \return 1 on success and 0 if an error occured
655 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
657 /** Stores multiples of generator for faster point multiplication
658 * \param group EC_GROUP object
659 * \param ctx BN_CTX object (optional)
660 * \return 1 on success and 0 if an error occured
662 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
664 /** Reports whether a precomputation has been done
665 * \param group EC_GROUP object
666 * \return 1 if a pre-computation has been done and 0 otherwise
668 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
671 /********************************************************************/
673 /********************************************************************/
675 /* EC_GROUP_get_basis_type() returns the NID of the basis type
676 * used to represent the field elements */
677 int EC_GROUP_get_basis_type(const EC_GROUP *);
678 #ifndef OPENSSL_NO_EC2M
679 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
680 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
681 unsigned int *k2, unsigned int *k3);
684 #define OPENSSL_EC_NAMED_CURVE 0x001
686 typedef struct ecpk_parameters_st ECPKPARAMETERS;
688 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
689 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
691 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
692 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
693 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
694 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
695 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
696 (unsigned char *)(x))
698 #ifndef OPENSSL_NO_BIO
699 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
701 #ifndef OPENSSL_NO_FP_API
702 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
706 /********************************************************************/
707 /* EC_KEY functions */
708 /********************************************************************/
710 typedef struct ec_key_st EC_KEY;
712 /* some values for the encoding_flag */
713 #define EC_PKEY_NO_PARAMETERS 0x001
714 #define EC_PKEY_NO_PUBKEY 0x002
716 /* some values for the flags field */
717 #define EC_FLAG_NON_FIPS_ALLOW 0x1
718 #define EC_FLAG_FIPS_CHECKED 0x2
720 /** Creates a new EC_KEY object.
721 * \return EC_KEY object or NULL if an error occurred.
723 EC_KEY *EC_KEY_new(void);
725 int EC_KEY_get_flags(const EC_KEY *key);
727 void EC_KEY_set_flags(EC_KEY *key, int flags);
729 void EC_KEY_clear_flags(EC_KEY *key, int flags);
731 /** Creates a new EC_KEY object using a named curve as underlying
733 * \param nid NID of the named curve.
734 * \return EC_KEY object or NULL if an error occurred.
736 EC_KEY *EC_KEY_new_by_curve_name(int nid);
738 /** Frees a EC_KEY object.
739 * \param key EC_KEY object to be freed.
741 void EC_KEY_free(EC_KEY *key);
743 /** Copies a EC_KEY object.
744 * \param dst destination EC_KEY object
745 * \param src src EC_KEY object
746 * \return dst or NULL if an error occurred.
748 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
750 /** Creates a new EC_KEY object and copies the content from src to it.
751 * \param src the source EC_KEY object
752 * \return newly created EC_KEY object or NULL if an error occurred.
754 EC_KEY *EC_KEY_dup(const EC_KEY *src);
756 /** Increases the internal reference count of a EC_KEY object.
757 * \param key EC_KEY object
758 * \return 1 on success and 0 if an error occurred.
760 int EC_KEY_up_ref(EC_KEY *key);
762 /** Returns the EC_GROUP object of a EC_KEY object
763 * \param key EC_KEY object
764 * \return the EC_GROUP object (possibly NULL).
766 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
768 /** Sets the EC_GROUP of a EC_KEY object.
769 * \param key EC_KEY object
770 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
771 * object will use an own copy of the EC_GROUP).
772 * \return 1 on success and 0 if an error occurred.
774 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
776 /** Returns the private key of a EC_KEY object.
777 * \param key EC_KEY object
778 * \return a BIGNUM with the private key (possibly NULL).
780 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
782 /** Sets the private key of a EC_KEY object.
783 * \param key EC_KEY object
784 * \param prv BIGNUM with the private key (note: the EC_KEY object
785 * will use an own copy of the BIGNUM).
786 * \return 1 on success and 0 if an error occurred.
788 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
790 /** Returns the public key of a EC_KEY object.
791 * \param key the EC_KEY object
792 * \return a EC_POINT object with the public key (possibly NULL)
794 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
796 /** Sets the public key of a EC_KEY object.
797 * \param key EC_KEY object
798 * \param pub EC_POINT object with the public key (note: the EC_KEY object
799 * will use an own copy of the EC_POINT object).
800 * \return 1 on success and 0 if an error occurred.
802 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
804 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
805 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
806 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
807 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
808 /* functions to set/get method specific data */
809 void *EC_KEY_get_key_method_data(EC_KEY *key,
810 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
811 /** Sets the key method data of an EC_KEY object, if none has yet been set.
812 * \param key EC_KEY object
813 * \param data opaque data to install.
814 * \param dup_func a function that duplicates |data|.
815 * \param free_func a function that frees |data|.
816 * \param clear_free_func a function that wipes and frees |data|.
817 * \return the previously set data pointer, or NULL if |data| was inserted.
819 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
820 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
821 /* wrapper functions for the underlying EC_GROUP object */
822 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
824 /** Creates a table of pre-computed multiples of the generator to
825 * accelerate further EC_KEY operations.
826 * \param key EC_KEY object
827 * \param ctx BN_CTX object (optional)
828 * \return 1 on success and 0 if an error occurred.
830 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
832 /** Creates a new ec private (and optional a new public) key.
833 * \param key EC_KEY object
834 * \return 1 on success and 0 if an error occurred.
836 int EC_KEY_generate_key(EC_KEY *key);
838 /** Verifies that a private and/or public key is valid.
839 * \param key the EC_KEY object
840 * \return 1 on success and 0 otherwise.
842 int EC_KEY_check_key(const EC_KEY *key);
844 /** Sets a public key from affine coordindates performing
845 * neccessary NIST PKV tests.
846 * \param key the EC_KEY object
847 * \param x public key x coordinate
848 * \param y public key y coordinate
849 * \return 1 on success and 0 otherwise.
851 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
854 /********************************************************************/
855 /* de- and encoding functions for SEC1 ECPrivateKey */
856 /********************************************************************/
858 /** Decodes a private key from a memory buffer.
859 * \param key a pointer to a EC_KEY object which should be used (or NULL)
860 * \param in pointer to memory with the DER encoded private key
861 * \param len length of the DER encoded private key
862 * \return the decoded private key or NULL if an error occurred.
864 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
866 /** Encodes a private key object and stores the result in a buffer.
867 * \param key the EC_KEY object to encode
868 * \param out the buffer for the result (if NULL the function returns number
870 * \return 1 on success and 0 if an error occurred.
872 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
875 /********************************************************************/
876 /* de- and encoding functions for EC parameters */
877 /********************************************************************/
879 /** Decodes ec parameter from a memory buffer.
880 * \param key a pointer to a EC_KEY object which should be used (or NULL)
881 * \param in pointer to memory with the DER encoded ec parameters
882 * \param len length of the DER encoded ec parameters
883 * \return a EC_KEY object with the decoded parameters or NULL if an error
886 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
888 /** Encodes ec parameter and stores the result in a buffer.
889 * \param key the EC_KEY object with ec paramters to encode
890 * \param out the buffer for the result (if NULL the function returns number
892 * \return 1 on success and 0 if an error occurred.
894 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
897 /********************************************************************/
898 /* de- and encoding functions for EC public key */
899 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
900 /********************************************************************/
902 /** Decodes a ec public key from a octet string.
903 * \param key a pointer to a EC_KEY object which should be used
904 * \param in memory buffer with the encoded public key
905 * \param len length of the encoded public key
906 * \return EC_KEY object with decoded public key or NULL if an error
909 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
911 /** Encodes a ec public key in an octet string.
912 * \param key the EC_KEY object with the public key
913 * \param out the buffer for the result (if NULL the function returns number
915 * \return 1 on success and 0 if an error occurred
917 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
919 #ifndef OPENSSL_NO_BIO
920 /** Prints out the ec parameters on human readable form.
921 * \param bp BIO object to which the information is printed
922 * \param key EC_KEY object
923 * \return 1 on success and 0 if an error occurred
925 int ECParameters_print(BIO *bp, const EC_KEY *key);
927 /** Prints out the contents of a EC_KEY object
928 * \param bp BIO object to which the information is printed
929 * \param key EC_KEY object
930 * \param off line offset
931 * \return 1 on success and 0 if an error occurred
933 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
936 #ifndef OPENSSL_NO_FP_API
937 /** Prints out the ec parameters on human readable form.
938 * \param fp file descriptor to which the information is printed
939 * \param key EC_KEY object
940 * \return 1 on success and 0 if an error occurred
942 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
944 /** Prints out the contents of a EC_KEY object
945 * \param fp file descriptor to which the information is printed
946 * \param key EC_KEY object
947 * \param off line offset
948 * \return 1 on success and 0 if an error occurred
950 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
954 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
957 #if defined(__SUNPRO_C)
958 # if __SUNPRO_C >= 0x520
959 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
964 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
965 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
966 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
967 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
969 #define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
970 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
971 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
972 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
974 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
975 #define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
977 /* BEGIN ERROR CODES */
978 /* The following lines are auto generated by the script mkerr.pl. Any changes
979 * made after this point may be overwritten when the script is next run.
981 void ERR_load_EC_strings(void);
983 /* Error codes for the EC functions. */
985 /* Function codes. */
986 #define EC_F_BN_TO_FELEM 224
987 #define EC_F_COMPUTE_WNAF 143
988 #define EC_F_D2I_ECPARAMETERS 144
989 #define EC_F_D2I_ECPKPARAMETERS 145
990 #define EC_F_D2I_ECPRIVATEKEY 146
991 #define EC_F_DO_EC_KEY_PRINT 221
992 #define EC_F_ECKEY_PARAM2TYPE 223
993 #define EC_F_ECKEY_PARAM_DECODE 212
994 #define EC_F_ECKEY_PRIV_DECODE 213
995 #define EC_F_ECKEY_PRIV_ENCODE 214
996 #define EC_F_ECKEY_PUB_DECODE 215
997 #define EC_F_ECKEY_PUB_ENCODE 216
998 #define EC_F_ECKEY_TYPE2PARAM 220
999 #define EC_F_ECPARAMETERS_PRINT 147
1000 #define EC_F_ECPARAMETERS_PRINT_FP 148
1001 #define EC_F_ECPKPARAMETERS_PRINT 149
1002 #define EC_F_ECPKPARAMETERS_PRINT_FP 150
1003 #define EC_F_ECP_NIST_MOD_192 203
1004 #define EC_F_ECP_NIST_MOD_224 204
1005 #define EC_F_ECP_NIST_MOD_256 205
1006 #define EC_F_ECP_NIST_MOD_521 206
1007 #define EC_F_EC_ASN1_GROUP2CURVE 153
1008 #define EC_F_EC_ASN1_GROUP2FIELDID 154
1009 #define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1010 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1011 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1012 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1013 #define EC_F_EC_EX_DATA_SET_DATA 211
1014 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1015 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1016 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1017 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1018 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1019 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1020 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1021 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1022 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1023 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1024 #define EC_F_EC_GFP_MONT_FIELD_MUL 131
1025 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1026 #define EC_F_EC_GFP_MONT_FIELD_SQR 132
1027 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1028 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1029 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1030 #define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1031 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1032 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1033 #define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1034 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1035 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1036 #define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1037 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1038 #define EC_F_EC_GFP_NIST_FIELD_MUL 200
1039 #define EC_F_EC_GFP_NIST_FIELD_SQR 201
1040 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1041 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1042 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1043 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1044 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1045 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1046 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1047 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1048 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1049 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1050 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1051 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1052 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1053 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1054 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1055 #define EC_F_EC_GROUP_CHECK 170
1056 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1057 #define EC_F_EC_GROUP_COPY 106
1058 #define EC_F_EC_GROUP_GET0_GENERATOR 139
1059 #define EC_F_EC_GROUP_GET_COFACTOR 140
1060 #define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1061 #define EC_F_EC_GROUP_GET_CURVE_GFP 130
1062 #define EC_F_EC_GROUP_GET_DEGREE 173
1063 #define EC_F_EC_GROUP_GET_ORDER 141
1064 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1065 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1066 #define EC_F_EC_GROUP_NEW 108
1067 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1068 #define EC_F_EC_GROUP_NEW_FROM_DATA 175
1069 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1070 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1071 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
1072 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1073 #define EC_F_EC_GROUP_SET_GENERATOR 111
1074 #define EC_F_EC_KEY_CHECK_KEY 177
1075 #define EC_F_EC_KEY_COPY 178
1076 #define EC_F_EC_KEY_GENERATE_KEY 179
1077 #define EC_F_EC_KEY_NEW 182
1078 #define EC_F_EC_KEY_PRINT 180
1079 #define EC_F_EC_KEY_PRINT_FP 181
1080 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1081 #define EC_F_EC_POINTS_MAKE_AFFINE 136
1082 #define EC_F_EC_POINT_ADD 112
1083 #define EC_F_EC_POINT_CMP 113
1084 #define EC_F_EC_POINT_COPY 114
1085 #define EC_F_EC_POINT_DBL 115
1086 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1087 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1088 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1089 #define EC_F_EC_POINT_INVERT 210
1090 #define EC_F_EC_POINT_IS_AT_INFINITY 118
1091 #define EC_F_EC_POINT_IS_ON_CURVE 119
1092 #define EC_F_EC_POINT_MAKE_AFFINE 120
1093 #define EC_F_EC_POINT_MUL 184
1094 #define EC_F_EC_POINT_NEW 121
1095 #define EC_F_EC_POINT_OCT2POINT 122
1096 #define EC_F_EC_POINT_POINT2OCT 123
1097 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1098 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1099 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1100 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1101 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1102 #define EC_F_EC_POINT_SET_TO_INFINITY 127
1103 #define EC_F_EC_PRE_COMP_DUP 207
1104 #define EC_F_EC_PRE_COMP_NEW 196
1105 #define EC_F_EC_WNAF_MUL 187
1106 #define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1107 #define EC_F_I2D_ECPARAMETERS 190
1108 #define EC_F_I2D_ECPKPARAMETERS 191
1109 #define EC_F_I2D_ECPRIVATEKEY 192
1110 #define EC_F_I2O_ECPUBLICKEY 151
1111 #define EC_F_NISTP224_PRE_COMP_NEW 227
1112 #define EC_F_NISTP256_PRE_COMP_NEW 236
1113 #define EC_F_NISTP521_PRE_COMP_NEW 237
1114 #define EC_F_O2I_ECPUBLICKEY 152
1115 #define EC_F_OLD_EC_PRIV_DECODE 222
1116 #define EC_F_PKEY_EC_CTRL 197
1117 #define EC_F_PKEY_EC_CTRL_STR 198
1118 #define EC_F_PKEY_EC_DERIVE 217
1119 #define EC_F_PKEY_EC_KEYGEN 199
1120 #define EC_F_PKEY_EC_PARAMGEN 219
1121 #define EC_F_PKEY_EC_SIGN 218
1124 #define EC_R_ASN1_ERROR 115
1125 #define EC_R_ASN1_UNKNOWN_FIELD 116
1126 #define EC_R_BIGNUM_OUT_OF_RANGE 144
1127 #define EC_R_BUFFER_TOO_SMALL 100
1128 #define EC_R_COORDINATES_OUT_OF_RANGE 146
1129 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1130 #define EC_R_DECODE_ERROR 142
1131 #define EC_R_DISCRIMINANT_IS_ZERO 118
1132 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1133 #define EC_R_FIELD_TOO_LARGE 143
1134 #define EC_R_GF2M_NOT_SUPPORTED 147
1135 #define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1136 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1137 #define EC_R_INCOMPATIBLE_OBJECTS 101
1138 #define EC_R_INVALID_ARGUMENT 112
1139 #define EC_R_INVALID_COMPRESSED_POINT 110
1140 #define EC_R_INVALID_COMPRESSION_BIT 109
1141 #define EC_R_INVALID_CURVE 141
1142 #define EC_R_INVALID_DIGEST_TYPE 138
1143 #define EC_R_INVALID_ENCODING 102
1144 #define EC_R_INVALID_FIELD 103
1145 #define EC_R_INVALID_FORM 104
1146 #define EC_R_INVALID_GROUP_ORDER 122
1147 #define EC_R_INVALID_PENTANOMIAL_BASIS 132
1148 #define EC_R_INVALID_PRIVATE_KEY 123
1149 #define EC_R_INVALID_TRINOMIAL_BASIS 137
1150 #define EC_R_KEYS_NOT_SET 140
1151 #define EC_R_MISSING_PARAMETERS 124
1152 #define EC_R_MISSING_PRIVATE_KEY 125
1153 #define EC_R_NOT_A_NIST_PRIME 135
1154 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1155 #define EC_R_NOT_IMPLEMENTED 126
1156 #define EC_R_NOT_INITIALIZED 111
1157 #define EC_R_NO_FIELD_MOD 133
1158 #define EC_R_NO_PARAMETERS_SET 139
1159 #define EC_R_PASSED_NULL_PARAMETER 134
1160 #define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1161 #define EC_R_POINT_AT_INFINITY 106
1162 #define EC_R_POINT_IS_NOT_ON_CURVE 107
1163 #define EC_R_SLOT_FULL 108
1164 #define EC_R_UNDEFINED_GENERATOR 113
1165 #define EC_R_UNDEFINED_ORDER 128
1166 #define EC_R_UNKNOWN_GROUP 129
1167 #define EC_R_UNKNOWN_ORDER 114
1168 #define EC_R_UNSUPPORTED_FIELD 131
1169 #define EC_R_WRONG_CURVE_PARAMETERS 145
1170 #define EC_R_WRONG_ORDER 130