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)
99 # ifndef OPENSSL_ECC_MAX_FIELD_BITS
100 # define OPENSSL_ECC_MAX_FIELD_BITS 661
103 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
104 * for the encoding of a elliptic curve point (x,y) */
106 /** the point is encoded as z||x, where the octet z specifies
107 * which solution of the quadratic equation y is */
108 POINT_CONVERSION_COMPRESSED
= 2,
109 /** the point is encoded as z||x||y, where z is the octet 0x02 */
110 POINT_CONVERSION_UNCOMPRESSED
= 4,
111 /** the point is encoded as z||x||y, where the octet z specifies
112 * which solution of the quadratic equation y is */
113 POINT_CONVERSION_HYBRID
= 6
114 } point_conversion_form_t
;
116 typedef struct ec_method_st EC_METHOD
;
118 typedef struct ec_group_st
122 -- curve coefficients
123 -- optional generator with associated information (order, cofactor)
124 -- optional extra data (precomputed table for fast computation of multiples of generator)
129 typedef struct ec_point_st EC_POINT
;
131 /********************************************************************/
132 /* EC_METHODs for curves over GF(p) */
133 /********************************************************************/
135 /** Returns the basic GFp ec methods which provides the basis for the
137 * \return EC_METHOD object
139 const EC_METHOD
*EC_GFp_simple_method(void);
141 /** Returns GFp methods using montgomery multiplication.
142 * \return EC_METHOD object
144 const EC_METHOD
*EC_GFp_mont_method(void);
146 /** Returns GFp methods using optimized methods for NIST recommended curves
147 * \return EC_METHOD object
149 const EC_METHOD
*EC_GFp_nist_method(void);
151 # ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
152 /** Returns 64-bit optimized methods for nistp224
153 * \return EC_METHOD object
155 const EC_METHOD
*EC_GFp_nistp224_method(void);
157 /** Returns 64-bit optimized methods for nistp256
158 * \return EC_METHOD object
160 const EC_METHOD
*EC_GFp_nistp256_method(void);
162 /** Returns 64-bit optimized methods for nistp521
163 * \return EC_METHOD object
165 const EC_METHOD
*EC_GFp_nistp521_method(void);
168 # ifndef OPENSSL_NO_EC2M
169 /********************************************************************/
170 /* EC_METHOD for curves over GF(2^m) */
171 /********************************************************************/
173 /** Returns the basic GF2m ec method
174 * \return EC_METHOD object
176 const EC_METHOD
*EC_GF2m_simple_method(void);
180 /********************************************************************/
181 /* EC_GROUP functions */
182 /********************************************************************/
184 /** Creates a new EC_GROUP object
185 * \param meth EC_METHOD to use
186 * \return newly created EC_GROUP object or NULL in case of an error.
188 EC_GROUP
*EC_GROUP_new(const EC_METHOD
*meth
);
190 /** Frees a EC_GROUP object
191 * \param group EC_GROUP object to be freed.
193 void EC_GROUP_free(EC_GROUP
*group
);
195 /** Clears and frees a EC_GROUP object
196 * \param group EC_GROUP object to be cleared and freed.
198 void EC_GROUP_clear_free(EC_GROUP
*group
);
200 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
201 * \param dst destination EC_GROUP object
202 * \param src source EC_GROUP object
203 * \return 1 on success and 0 if an error occurred.
205 int EC_GROUP_copy(EC_GROUP
*dst
, const EC_GROUP
*src
);
207 /** Creates a new EC_GROUP object and copies the copies the content
208 * form src to the newly created EC_KEY object
209 * \param src source EC_GROUP object
210 * \return newly created EC_GROUP object or NULL in case of an error.
212 EC_GROUP
*EC_GROUP_dup(const EC_GROUP
*src
);
214 /** Returns the EC_METHOD of the EC_GROUP object.
215 * \param group EC_GROUP object
216 * \return EC_METHOD used in this EC_GROUP object.
218 const EC_METHOD
*EC_GROUP_method_of(const EC_GROUP
*group
);
220 /** Returns the field type of the EC_METHOD.
221 * \param meth EC_METHOD object
222 * \return NID of the underlying field type OID.
224 int EC_METHOD_get_field_type(const EC_METHOD
*meth
);
226 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
227 * \param group EC_GROUP object
228 * \param generator EC_POINT object with the generator.
229 * \param order the order of the group generated by the generator.
230 * \param cofactor the index of the sub-group generated by the generator
231 * in the group of all points on the elliptic curve.
232 * \return 1 on success and 0 if an error occured
234 int EC_GROUP_set_generator(EC_GROUP
*group
, const EC_POINT
*generator
,
235 const BIGNUM
*order
, const BIGNUM
*cofactor
);
237 /** Returns the generator of a EC_GROUP object.
238 * \param group EC_GROUP object
239 * \return the currently used generator (possibly NULL).
241 const EC_POINT
*EC_GROUP_get0_generator(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
246 * \param ctx BN_CTX object (optional)
247 * \return 1 on success and 0 if an error occured
249 int EC_GROUP_get_order(const EC_GROUP
*group
, BIGNUM
*order
, BN_CTX
*ctx
);
251 /** Gets the cofactor of a EC_GROUP
252 * \param group EC_GROUP object
253 * \param cofactor BIGNUM to which the cofactor is copied
254 * \param ctx BN_CTX object (optional)
255 * \return 1 on success and 0 if an error occured
257 int EC_GROUP_get_cofactor(const EC_GROUP
*group
, BIGNUM
*cofactor
,
260 /** Sets the name of a EC_GROUP object
261 * \param group EC_GROUP object
262 * \param nid NID of the curve name OID
264 void EC_GROUP_set_curve_name(EC_GROUP
*group
, int nid
);
266 /** Returns the curve name of a EC_GROUP object
267 * \param group EC_GROUP object
268 * \return NID of the curve name OID or 0 if not set.
270 int EC_GROUP_get_curve_name(const EC_GROUP
*group
);
272 void EC_GROUP_set_asn1_flag(EC_GROUP
*group
, int flag
);
273 int EC_GROUP_get_asn1_flag(const EC_GROUP
*group
);
275 void EC_GROUP_set_point_conversion_form(EC_GROUP
*group
,
276 point_conversion_form_t form
);
277 point_conversion_form_t
EC_GROUP_get_point_conversion_form(const EC_GROUP
*);
279 unsigned char *EC_GROUP_get0_seed(const EC_GROUP
*x
);
280 size_t EC_GROUP_get_seed_len(const EC_GROUP
*);
281 size_t EC_GROUP_set_seed(EC_GROUP
*, const unsigned char *, size_t len
);
283 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
284 * \param group EC_GROUP object
285 * \param p BIGNUM with the prime number
286 * \param a BIGNUM with parameter a of the equation
287 * \param b BIGNUM with parameter b of the equation
288 * \param ctx BN_CTX object (optional)
289 * \return 1 on success and 0 if an error occured
291 int EC_GROUP_set_curve_GFp(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
292 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
,
303 BIGNUM
*b
, BN_CTX
*ctx
);
305 # ifndef OPENSSL_NO_EC2M
306 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
307 * \param group EC_GROUP object
308 * \param p BIGNUM with the polynomial defining the underlying field
309 * \param a BIGNUM with parameter a of the equation
310 * \param b BIGNUM with parameter b of the equation
311 * \param ctx BN_CTX object (optional)
312 * \return 1 on success and 0 if an error occured
314 int EC_GROUP_set_curve_GF2m(EC_GROUP
*group
, const BIGNUM
*p
, const BIGNUM
*a
,
315 const BIGNUM
*b
, BN_CTX
*ctx
);
317 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
318 * \param group EC_GROUP object
319 * \param p BIGNUM for the polynomial defining the underlying field
320 * \param a BIGNUM for parameter a of the equation
321 * \param b BIGNUM for parameter b of the equation
322 * \param ctx BN_CTX object (optional)
323 * \return 1 on success and 0 if an error occured
325 int EC_GROUP_get_curve_GF2m(const EC_GROUP
*group
, BIGNUM
*p
, BIGNUM
*a
,
326 BIGNUM
*b
, BN_CTX
*ctx
);
328 /** Returns the number of bits needed to represent a field element
329 * \param group EC_GROUP object
330 * \return number of bits needed to represent a field element
332 int EC_GROUP_get_degree(const EC_GROUP
*group
);
334 /** Checks whether the parameter in the EC_GROUP define a valid ec group
335 * \param group EC_GROUP object
336 * \param ctx BN_CTX object (optional)
337 * \return 1 if group is a valid ec group and 0 otherwise
339 int EC_GROUP_check(const EC_GROUP
*group
, BN_CTX
*ctx
);
341 /** Checks whether the discriminant of the elliptic curve is zero or not
342 * \param group EC_GROUP object
343 * \param ctx BN_CTX object (optional)
344 * \return 1 if the discriminant is not zero and 0 otherwise
346 int EC_GROUP_check_discriminant(const EC_GROUP
*group
, BN_CTX
*ctx
);
348 /** Compares two EC_GROUP objects
349 * \param a first EC_GROUP object
350 * \param b second EC_GROUP object
351 * \param ctx BN_CTX object (optional)
352 * \return 0 if both groups are equal and 1 otherwise
354 int EC_GROUP_cmp(const EC_GROUP
*a
, const EC_GROUP
*b
, BN_CTX
*ctx
);
357 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
358 * choosing an appropriate EC_METHOD
361 /** Creates a new EC_GROUP object with the specified parameters defined
362 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
363 * \param p BIGNUM with the prime number
364 * \param a BIGNUM with the parameter a of the equation
365 * \param b BIGNUM with the parameter b of the equation
366 * \param ctx BN_CTX object (optional)
367 * \return newly created EC_GROUP object with the specified parameters
369 EC_GROUP
*EC_GROUP_new_curve_GFp(const BIGNUM
*p
, const BIGNUM
*a
,
370 const BIGNUM
*b
, BN_CTX
*ctx
);
371 # ifndef OPENSSL_NO_EC2M
372 /** Creates a new EC_GROUP object with the specified parameters defined
373 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
374 * \param p BIGNUM with the polynomial defining the underlying field
375 * \param a BIGNUM with the parameter a of the equation
376 * \param b BIGNUM with the parameter b of the equation
377 * \param ctx BN_CTX object (optional)
378 * \return newly created EC_GROUP object with the specified parameters
380 EC_GROUP
*EC_GROUP_new_curve_GF2m(const BIGNUM
*p
, const BIGNUM
*a
,
381 const BIGNUM
*b
, BN_CTX
*ctx
);
383 /** Creates a EC_GROUP object with a curve specified by a NID
384 * \param nid NID of the OID of the curve name
385 * \return newly created EC_GROUP object with specified curve or NULL
386 * if an error occurred
388 EC_GROUP
*EC_GROUP_new_by_curve_name(int nid
);
390 /********************************************************************/
391 /* handling of internal curves */
392 /********************************************************************/
400 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
401 * available curves or zero if a error occurred. In case r ist not zero
402 * nitems EC_builtin_curve structures are filled with the data of the first
403 * nitems internal groups
405 size_t EC_get_builtin_curves(EC_builtin_curve
*r
, size_t nitems
);
407 /********************************************************************/
408 /* EC_POINT functions */
409 /********************************************************************/
411 /** Creates a new EC_POINT object for the specified EC_GROUP
412 * \param group EC_GROUP the underlying EC_GROUP object
413 * \return newly created EC_POINT object or NULL if an error occurred
415 EC_POINT
*EC_POINT_new(const EC_GROUP
*group
);
417 /** Frees a EC_POINT object
418 * \param point EC_POINT object to be freed
420 void EC_POINT_free(EC_POINT
*point
);
422 /** Clears and frees a EC_POINT object
423 * \param point EC_POINT object to be cleared and freed
425 void EC_POINT_clear_free(EC_POINT
*point
);
427 /** Copies EC_POINT object
428 * \param dst destination EC_POINT object
429 * \param src source EC_POINT object
430 * \return 1 on success and 0 if an error occured
432 int EC_POINT_copy(EC_POINT
*dst
, const EC_POINT
*src
);
434 /** Creates a new EC_POINT object and copies the content of the supplied
436 * \param src source EC_POINT object
437 * \param group underlying the EC_GROUP object
438 * \return newly created EC_POINT object or NULL if an error occurred
440 EC_POINT
*EC_POINT_dup(const EC_POINT
*src
, const EC_GROUP
*group
);
442 /** Returns the EC_METHOD used in EC_POINT object
443 * \param point EC_POINT object
444 * \return the EC_METHOD used
446 const EC_METHOD
*EC_POINT_method_of(const EC_POINT
*point
);
448 /** Sets a point to infinity (neutral element)
449 * \param group underlying EC_GROUP object
450 * \param point EC_POINT to set to infinity
451 * \return 1 on success and 0 if an error occured
453 int EC_POINT_set_to_infinity(const EC_GROUP
*group
, EC_POINT
*point
);
455 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
456 * \param group underlying EC_GROUP object
457 * \param p EC_POINT object
458 * \param x BIGNUM with the x-coordinate
459 * \param y BIGNUM with the y-coordinate
460 * \param z BIGNUM with the z-coordinate
461 * \param ctx BN_CTX object (optional)
462 * \return 1 on success and 0 if an error occured
464 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
465 EC_POINT
*p
, const BIGNUM
*x
,
466 const BIGNUM
*y
, const BIGNUM
*z
,
469 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
470 * \param group underlying EC_GROUP object
471 * \param p EC_POINT object
472 * \param x BIGNUM for the x-coordinate
473 * \param y BIGNUM for the y-coordinate
474 * \param z BIGNUM for the z-coordinate
475 * \param ctx BN_CTX object (optional)
476 * \return 1 on success and 0 if an error occured
478 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP
*group
,
479 const EC_POINT
*p
, BIGNUM
*x
,
480 BIGNUM
*y
, BIGNUM
*z
,
483 /** Sets the affine coordinates of a EC_POINT over GFp
484 * \param group underlying EC_GROUP object
485 * \param p EC_POINT object
486 * \param x BIGNUM with the x-coordinate
487 * \param y BIGNUM with the y-coordinate
488 * \param ctx BN_CTX object (optional)
489 * \return 1 on success and 0 if an error occured
491 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP
*group
, EC_POINT
*p
,
492 const BIGNUM
*x
, const BIGNUM
*y
,
495 /** Gets the affine coordinates of a EC_POINT over GFp
496 * \param group underlying EC_GROUP object
497 * \param p EC_POINT object
498 * \param x BIGNUM for the x-coordinate
499 * \param y BIGNUM for the y-coordinate
500 * \param ctx BN_CTX object (optional)
501 * \return 1 on success and 0 if an error occured
503 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP
*group
,
504 const EC_POINT
*p
, BIGNUM
*x
,
505 BIGNUM
*y
, BN_CTX
*ctx
);
507 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
508 * \param group underlying EC_GROUP object
509 * \param p EC_POINT object
510 * \param x BIGNUM with x-coordinate
511 * \param y_bit integer with the y-Bit (either 0 or 1)
512 * \param ctx BN_CTX object (optional)
513 * \return 1 on success and 0 if an error occured
515 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP
*group
,
516 EC_POINT
*p
, const BIGNUM
*x
,
517 int y_bit
, BN_CTX
*ctx
);
518 # ifndef OPENSSL_NO_EC2M
519 /** Sets the affine coordinates of a EC_POINT over GF2m
520 * \param group underlying EC_GROUP object
521 * \param p EC_POINT object
522 * \param x BIGNUM with the x-coordinate
523 * \param y BIGNUM with the y-coordinate
524 * \param ctx BN_CTX object (optional)
525 * \return 1 on success and 0 if an error occured
527 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP
*group
, EC_POINT
*p
,
528 const BIGNUM
*x
, const BIGNUM
*y
,
531 /** Gets the affine coordinates of a EC_POINT over GF2m
532 * \param group underlying EC_GROUP object
533 * \param p EC_POINT object
534 * \param x BIGNUM for the x-coordinate
535 * \param y BIGNUM for the y-coordinate
536 * \param ctx BN_CTX object (optional)
537 * \return 1 on success and 0 if an error occured
539 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP
*group
,
540 const EC_POINT
*p
, BIGNUM
*x
,
541 BIGNUM
*y
, BN_CTX
*ctx
);
543 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
544 * \param group underlying EC_GROUP object
545 * \param p EC_POINT object
546 * \param x BIGNUM with x-coordinate
547 * \param y_bit integer with the y-Bit (either 0 or 1)
548 * \param ctx BN_CTX object (optional)
549 * \return 1 on success and 0 if an error occured
551 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP
*group
,
552 EC_POINT
*p
, const BIGNUM
*x
,
553 int y_bit
, BN_CTX
*ctx
);
555 /** Encodes a EC_POINT object to a octet string
556 * \param group underlying EC_GROUP object
557 * \param p EC_POINT object
558 * \param form point conversion form
559 * \param buf memory buffer for the result. If NULL the function returns
560 * required buffer size.
561 * \param len length of the memory buffer
562 * \param ctx BN_CTX object (optional)
563 * \return the length of the encoded octet string or 0 if an error occurred
565 size_t EC_POINT_point2oct(const EC_GROUP
*group
, const EC_POINT
*p
,
566 point_conversion_form_t form
,
567 unsigned char *buf
, size_t len
, BN_CTX
*ctx
);
569 /** Decodes a EC_POINT from a octet string
570 * \param group underlying EC_GROUP object
571 * \param p EC_POINT object
572 * \param buf memory buffer with the encoded ec point
573 * \param len length of the encoded ec point
574 * \param ctx BN_CTX object (optional)
575 * \return 1 on success and 0 if an error occured
577 int EC_POINT_oct2point(const EC_GROUP
*group
, EC_POINT
*p
,
578 const unsigned char *buf
, size_t len
, BN_CTX
*ctx
);
580 /* other interfaces to point2oct/oct2point: */
581 BIGNUM
*EC_POINT_point2bn(const EC_GROUP
*, const EC_POINT
*,
582 point_conversion_form_t form
, BIGNUM
*, BN_CTX
*);
583 EC_POINT
*EC_POINT_bn2point(const EC_GROUP
*, const BIGNUM
*,
584 EC_POINT
*, BN_CTX
*);
585 char *EC_POINT_point2hex(const EC_GROUP
*, const EC_POINT
*,
586 point_conversion_form_t form
, BN_CTX
*);
587 EC_POINT
*EC_POINT_hex2point(const EC_GROUP
*, const char *,
588 EC_POINT
*, BN_CTX
*);
590 /********************************************************************/
591 /* functions for doing EC_POINT arithmetic */
592 /********************************************************************/
594 /** Computes the sum of two EC_POINT
595 * \param group underlying EC_GROUP object
596 * \param r EC_POINT object for the result (r = a + b)
597 * \param a EC_POINT object with the first summand
598 * \param b EC_POINT object with the second summand
599 * \param ctx BN_CTX object (optional)
600 * \return 1 on success and 0 if an error occured
602 int EC_POINT_add(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
603 const EC_POINT
*b
, BN_CTX
*ctx
);
605 /** Computes the double of a EC_POINT
606 * \param group underlying EC_GROUP object
607 * \param r EC_POINT object for the result (r = 2 * a)
608 * \param a EC_POINT object
609 * \param ctx BN_CTX object (optional)
610 * \return 1 on success and 0 if an error occured
612 int EC_POINT_dbl(const EC_GROUP
*group
, EC_POINT
*r
, const EC_POINT
*a
,
615 /** Computes the inverse of a EC_POINT
616 * \param group underlying EC_GROUP object
617 * \param a EC_POINT object to be inverted (it's used for the result as well)
618 * \param ctx BN_CTX object (optional)
619 * \return 1 on success and 0 if an error occured
621 int EC_POINT_invert(const EC_GROUP
*group
, EC_POINT
*a
, BN_CTX
*ctx
);
623 /** Checks whether the point is the neutral element of the group
624 * \param group the underlying EC_GROUP object
625 * \param p EC_POINT object
626 * \return 1 if the point is the neutral element and 0 otherwise
628 int EC_POINT_is_at_infinity(const EC_GROUP
*group
, const EC_POINT
*p
);
630 /** Checks whether the point is on the curve
631 * \param group underlying EC_GROUP object
632 * \param point EC_POINT object to check
633 * \param ctx BN_CTX object (optional)
634 * \return 1 if point if on the curve and 0 otherwise
636 int EC_POINT_is_on_curve(const EC_GROUP
*group
, const EC_POINT
*point
,
639 /** Compares two EC_POINTs
640 * \param group underlying EC_GROUP object
641 * \param a first EC_POINT object
642 * \param b second EC_POINT object
643 * \param ctx BN_CTX object (optional)
644 * \return 0 if both points are equal and a value != 0 otherwise
646 int EC_POINT_cmp(const EC_GROUP
*group
, const EC_POINT
*a
, const EC_POINT
*b
,
649 int EC_POINT_make_affine(const EC_GROUP
*group
, EC_POINT
*point
, BN_CTX
*ctx
);
650 int EC_POINTs_make_affine(const EC_GROUP
*group
, size_t num
,
651 EC_POINT
*points
[], BN_CTX
*ctx
);
653 /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
654 * \param group underlying EC_GROUP object
655 * \param r EC_POINT object for the result
656 * \param n BIGNUM with the multiplier for the group generator (optional)
657 * \param num number futher summands
658 * \param p array of size num of EC_POINT objects
659 * \param m array of size num of BIGNUM objects
660 * \param ctx BN_CTX object (optional)
661 * \return 1 on success and 0 if an error occured
663 int EC_POINTs_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*n
,
664 size_t num
, const EC_POINT
*p
[], const BIGNUM
*m
[],
667 /** Computes r = generator * n + q * m
668 * \param group underlying EC_GROUP object
669 * \param r EC_POINT object for the result
670 * \param n BIGNUM with the multiplier for the group generator (optional)
671 * \param q EC_POINT object with the first factor of the second summand
672 * \param m BIGNUM with the second factor of the second summand
673 * \param ctx BN_CTX object (optional)
674 * \return 1 on success and 0 if an error occured
676 int EC_POINT_mul(const EC_GROUP
*group
, EC_POINT
*r
, const BIGNUM
*n
,
677 const EC_POINT
*q
, const BIGNUM
*m
, BN_CTX
*ctx
);
679 /** Stores multiples of generator for faster point multiplication
680 * \param group EC_GROUP object
681 * \param ctx BN_CTX object (optional)
682 * \return 1 on success and 0 if an error occured
684 int EC_GROUP_precompute_mult(EC_GROUP
*group
, BN_CTX
*ctx
);
686 /** Reports whether a precomputation has been done
687 * \param group EC_GROUP object
688 * \return 1 if a pre-computation has been done and 0 otherwise
690 int EC_GROUP_have_precompute_mult(const EC_GROUP
*group
);
692 /********************************************************************/
694 /********************************************************************/
697 * EC_GROUP_get_basis_type() returns the NID of the basis type used to
698 * represent the field elements
700 int EC_GROUP_get_basis_type(const EC_GROUP
*);
701 # ifndef OPENSSL_NO_EC2M
702 int EC_GROUP_get_trinomial_basis(const EC_GROUP
*, unsigned int *k
);
703 int EC_GROUP_get_pentanomial_basis(const EC_GROUP
*, unsigned int *k1
,
704 unsigned int *k2
, unsigned int *k3
);
707 # define OPENSSL_EC_NAMED_CURVE 0x001
709 typedef struct ecpk_parameters_st ECPKPARAMETERS
;
711 EC_GROUP
*d2i_ECPKParameters(EC_GROUP
**, const unsigned char **in
, long len
);
712 int i2d_ECPKParameters(const EC_GROUP
*, unsigned char **out
);
714 # define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
715 # define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
716 # define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
717 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
718 # define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
719 (unsigned char *)(x))
721 # ifndef OPENSSL_NO_BIO
722 int ECPKParameters_print(BIO
*bp
, const EC_GROUP
*x
, int off
);
724 # ifndef OPENSSL_NO_FP_API
725 int ECPKParameters_print_fp(FILE *fp
, const EC_GROUP
*x
, int off
);
728 /********************************************************************/
729 /* EC_KEY functions */
730 /********************************************************************/
732 typedef struct ec_key_st EC_KEY
;
734 /* some values for the encoding_flag */
735 # define EC_PKEY_NO_PARAMETERS 0x001
736 # define EC_PKEY_NO_PUBKEY 0x002
738 /* some values for the flags field */
739 # define EC_FLAG_NON_FIPS_ALLOW 0x1
740 # define EC_FLAG_FIPS_CHECKED 0x2
742 /** Creates a new EC_KEY object.
743 * \return EC_KEY object or NULL if an error occurred.
745 EC_KEY
*EC_KEY_new(void);
747 int EC_KEY_get_flags(const EC_KEY
*key
);
749 void EC_KEY_set_flags(EC_KEY
*key
, int flags
);
751 void EC_KEY_clear_flags(EC_KEY
*key
, int flags
);
753 /** Creates a new EC_KEY object using a named curve as underlying
755 * \param nid NID of the named curve.
756 * \return EC_KEY object or NULL if an error occurred.
758 EC_KEY
*EC_KEY_new_by_curve_name(int nid
);
760 /** Frees a EC_KEY object.
761 * \param key EC_KEY object to be freed.
763 void EC_KEY_free(EC_KEY
*key
);
765 /** Copies a EC_KEY object.
766 * \param dst destination EC_KEY object
767 * \param src src EC_KEY object
768 * \return dst or NULL if an error occurred.
770 EC_KEY
*EC_KEY_copy(EC_KEY
*dst
, const EC_KEY
*src
);
772 /** Creates a new EC_KEY object and copies the content from src to it.
773 * \param src the source EC_KEY object
774 * \return newly created EC_KEY object or NULL if an error occurred.
776 EC_KEY
*EC_KEY_dup(const EC_KEY
*src
);
778 /** Increases the internal reference count of a EC_KEY object.
779 * \param key EC_KEY object
780 * \return 1 on success and 0 if an error occurred.
782 int EC_KEY_up_ref(EC_KEY
*key
);
784 /** Returns the EC_GROUP object of a EC_KEY object
785 * \param key EC_KEY object
786 * \return the EC_GROUP object (possibly NULL).
788 const EC_GROUP
*EC_KEY_get0_group(const EC_KEY
*key
);
790 /** Sets the EC_GROUP of a EC_KEY object.
791 * \param key EC_KEY object
792 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
793 * object will use an own copy of the EC_GROUP).
794 * \return 1 on success and 0 if an error occurred.
796 int EC_KEY_set_group(EC_KEY
*key
, const EC_GROUP
*group
);
798 /** Returns the private key of a EC_KEY object.
799 * \param key EC_KEY object
800 * \return a BIGNUM with the private key (possibly NULL).
802 const BIGNUM
*EC_KEY_get0_private_key(const EC_KEY
*key
);
804 /** Sets the private key of a EC_KEY object.
805 * \param key EC_KEY object
806 * \param prv BIGNUM with the private key (note: the EC_KEY object
807 * will use an own copy of the BIGNUM).
808 * \return 1 on success and 0 if an error occurred.
810 int EC_KEY_set_private_key(EC_KEY
*key
, const BIGNUM
*prv
);
812 /** Returns the public key of a EC_KEY object.
813 * \param key the EC_KEY object
814 * \return a EC_POINT object with the public key (possibly NULL)
816 const EC_POINT
*EC_KEY_get0_public_key(const EC_KEY
*key
);
818 /** Sets the public key of a EC_KEY object.
819 * \param key EC_KEY object
820 * \param pub EC_POINT object with the public key (note: the EC_KEY object
821 * will use an own copy of the EC_POINT object).
822 * \return 1 on success and 0 if an error occurred.
824 int EC_KEY_set_public_key(EC_KEY
*key
, const EC_POINT
*pub
);
826 unsigned EC_KEY_get_enc_flags(const EC_KEY
*key
);
827 void EC_KEY_set_enc_flags(EC_KEY
*eckey
, unsigned int flags
);
828 point_conversion_form_t
EC_KEY_get_conv_form(const EC_KEY
*key
);
829 void EC_KEY_set_conv_form(EC_KEY
*eckey
, point_conversion_form_t cform
);
830 /* functions to set/get method specific data */
831 void *EC_KEY_get_key_method_data(EC_KEY
*key
,
832 void *(*dup_func
) (void *),
833 void (*free_func
) (void *),
834 void (*clear_free_func
) (void *));
835 /** Sets the key method data of an EC_KEY object, if none has yet been set.
836 * \param key EC_KEY object
837 * \param data opaque data to install.
838 * \param dup_func a function that duplicates |data|.
839 * \param free_func a function that frees |data|.
840 * \param clear_free_func a function that wipes and frees |data|.
841 * \return the previously set data pointer, or NULL if |data| was inserted.
843 void *EC_KEY_insert_key_method_data(EC_KEY
*key
, void *data
,
844 void *(*dup_func
) (void *),
845 void (*free_func
) (void *),
846 void (*clear_free_func
) (void *));
847 /* wrapper functions for the underlying EC_GROUP object */
848 void EC_KEY_set_asn1_flag(EC_KEY
*eckey
, int asn1_flag
);
850 /** Creates a table of pre-computed multiples of the generator to
851 * accelerate further EC_KEY operations.
852 * \param key EC_KEY object
853 * \param ctx BN_CTX object (optional)
854 * \return 1 on success and 0 if an error occurred.
856 int EC_KEY_precompute_mult(EC_KEY
*key
, BN_CTX
*ctx
);
858 /** Creates a new ec private (and optional a new public) key.
859 * \param key EC_KEY object
860 * \return 1 on success and 0 if an error occurred.
862 int EC_KEY_generate_key(EC_KEY
*key
);
864 /** Verifies that a private and/or public key is valid.
865 * \param key the EC_KEY object
866 * \return 1 on success and 0 otherwise.
868 int EC_KEY_check_key(const EC_KEY
*key
);
870 /** Sets a public key from affine coordindates performing
871 * neccessary NIST PKV tests.
872 * \param key the EC_KEY object
873 * \param x public key x coordinate
874 * \param y public key y coordinate
875 * \return 1 on success and 0 otherwise.
877 int EC_KEY_set_public_key_affine_coordinates(EC_KEY
*key
, BIGNUM
*x
,
880 /********************************************************************/
881 /* de- and encoding functions for SEC1 ECPrivateKey */
882 /********************************************************************/
884 /** Decodes a private key from a memory buffer.
885 * \param key a pointer to a EC_KEY object which should be used (or NULL)
886 * \param in pointer to memory with the DER encoded private key
887 * \param len length of the DER encoded private key
888 * \return the decoded private key or NULL if an error occurred.
890 EC_KEY
*d2i_ECPrivateKey(EC_KEY
**key
, const unsigned char **in
, long len
);
892 /** Encodes a private key object and stores the result in a buffer.
893 * \param key the EC_KEY object to encode
894 * \param out the buffer for the result (if NULL the function returns number
896 * \return 1 on success and 0 if an error occurred.
898 int i2d_ECPrivateKey(EC_KEY
*key
, unsigned char **out
);
900 /********************************************************************/
901 /* de- and encoding functions for EC parameters */
902 /********************************************************************/
904 /** Decodes ec parameter from a memory buffer.
905 * \param key a pointer to a EC_KEY object which should be used (or NULL)
906 * \param in pointer to memory with the DER encoded ec parameters
907 * \param len length of the DER encoded ec parameters
908 * \return a EC_KEY object with the decoded parameters or NULL if an error
911 EC_KEY
*d2i_ECParameters(EC_KEY
**key
, const unsigned char **in
, long len
);
913 /** Encodes ec parameter and stores the result in a buffer.
914 * \param key the EC_KEY object with ec paramters to encode
915 * \param out the buffer for the result (if NULL the function returns number
917 * \return 1 on success and 0 if an error occurred.
919 int i2d_ECParameters(EC_KEY
*key
, unsigned char **out
);
921 /********************************************************************/
922 /* de- and encoding functions for EC public key */
923 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
924 /********************************************************************/
926 /** Decodes a ec public key from a octet string.
927 * \param key a pointer to a EC_KEY object which should be used
928 * \param in memory buffer with the encoded public key
929 * \param len length of the encoded public key
930 * \return EC_KEY object with decoded public key or NULL if an error
933 EC_KEY
*o2i_ECPublicKey(EC_KEY
**key
, const unsigned char **in
, long len
);
935 /** Encodes a ec public key in an octet string.
936 * \param key the EC_KEY object with the public key
937 * \param out the buffer for the result (if NULL the function returns number
939 * \return 1 on success and 0 if an error occurred
941 int i2o_ECPublicKey(EC_KEY
*key
, unsigned char **out
);
943 # ifndef OPENSSL_NO_BIO
944 /** Prints out the ec parameters on human readable form.
945 * \param bp BIO object to which the information is printed
946 * \param key EC_KEY object
947 * \return 1 on success and 0 if an error occurred
949 int ECParameters_print(BIO
*bp
, const EC_KEY
*key
);
951 /** Prints out the contents of a EC_KEY object
952 * \param bp BIO object to which the information is printed
953 * \param key EC_KEY object
954 * \param off line offset
955 * \return 1 on success and 0 if an error occurred
957 int EC_KEY_print(BIO
*bp
, const EC_KEY
*key
, int off
);
960 # ifndef OPENSSL_NO_FP_API
961 /** Prints out the ec parameters on human readable form.
962 * \param fp file descriptor to which the information is printed
963 * \param key EC_KEY object
964 * \return 1 on success and 0 if an error occurred
966 int ECParameters_print_fp(FILE *fp
, const EC_KEY
*key
);
968 /** Prints out the contents of a EC_KEY object
969 * \param fp file descriptor to which the information is printed
970 * \param key EC_KEY object
971 * \param off line offset
972 * \return 1 on success and 0 if an error occurred
974 int EC_KEY_print_fp(FILE *fp
, const EC_KEY
*key
, int off
);
978 # define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
981 # if defined(__SUNPRO_C)
982 # if __SUNPRO_C >= 0x520
983 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
988 # define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
989 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
990 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
992 # define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
994 /* BEGIN ERROR CODES */
996 * The following lines are auto generated by the script mkerr.pl. Any changes
997 * made after this point may be overwritten when the script is next run.
999 void ERR_load_EC_strings(void);
1001 /* Error codes for the EC functions. */
1003 /* Function codes. */
1004 # define EC_F_BN_TO_FELEM 224
1005 # define EC_F_COMPUTE_WNAF 143
1006 # define EC_F_D2I_ECPARAMETERS 144
1007 # define EC_F_D2I_ECPKPARAMETERS 145
1008 # define EC_F_D2I_ECPRIVATEKEY 146
1009 # define EC_F_DO_EC_KEY_PRINT 221
1010 # define EC_F_ECKEY_PARAM2TYPE 223
1011 # define EC_F_ECKEY_PARAM_DECODE 212
1012 # define EC_F_ECKEY_PRIV_DECODE 213
1013 # define EC_F_ECKEY_PRIV_ENCODE 214
1014 # define EC_F_ECKEY_PUB_DECODE 215
1015 # define EC_F_ECKEY_PUB_ENCODE 216
1016 # define EC_F_ECKEY_TYPE2PARAM 220
1017 # define EC_F_ECPARAMETERS_PRINT 147
1018 # define EC_F_ECPARAMETERS_PRINT_FP 148
1019 # define EC_F_ECPKPARAMETERS_PRINT 149
1020 # define EC_F_ECPKPARAMETERS_PRINT_FP 150
1021 # define EC_F_ECP_NIST_MOD_192 203
1022 # define EC_F_ECP_NIST_MOD_224 204
1023 # define EC_F_ECP_NIST_MOD_256 205
1024 # define EC_F_ECP_NIST_MOD_521 206
1025 # define EC_F_EC_ASN1_GROUP2CURVE 153
1026 # define EC_F_EC_ASN1_GROUP2FIELDID 154
1027 # define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1028 # define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1029 # define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1030 # define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1031 # define EC_F_EC_EX_DATA_SET_DATA 211
1032 # define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1033 # define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1034 # define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1035 # define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1036 # define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1037 # define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1038 # define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1039 # define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1040 # define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1041 # define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1042 # define EC_F_EC_GFP_MONT_FIELD_MUL 131
1043 # define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1044 # define EC_F_EC_GFP_MONT_FIELD_SQR 132
1045 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1046 # define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1047 # define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1048 # define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1049 # define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1050 # define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1051 # define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1052 # define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1053 # define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1054 # define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1055 # define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1056 # define EC_F_EC_GFP_NIST_FIELD_MUL 200
1057 # define EC_F_EC_GFP_NIST_FIELD_SQR 201
1058 # define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1059 # define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1060 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1061 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1062 # define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1063 # define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1064 # define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1065 # define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1066 # define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1067 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1068 # define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1069 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1070 # define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1071 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1072 # define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1073 # define EC_F_EC_GROUP_CHECK 170
1074 # define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1075 # define EC_F_EC_GROUP_COPY 106
1076 # define EC_F_EC_GROUP_GET0_GENERATOR 139
1077 # define EC_F_EC_GROUP_GET_COFACTOR 140
1078 # define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1079 # define EC_F_EC_GROUP_GET_CURVE_GFP 130
1080 # define EC_F_EC_GROUP_GET_DEGREE 173
1081 # define EC_F_EC_GROUP_GET_ORDER 141
1082 # define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1083 # define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1084 # define EC_F_EC_GROUP_NEW 108
1085 # define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1086 # define EC_F_EC_GROUP_NEW_FROM_DATA 175
1087 # define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1088 # define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1089 # define EC_F_EC_GROUP_SET_CURVE_GFP 109
1090 # define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1091 # define EC_F_EC_GROUP_SET_GENERATOR 111
1092 # define EC_F_EC_KEY_CHECK_KEY 177
1093 # define EC_F_EC_KEY_COPY 178
1094 # define EC_F_EC_KEY_GENERATE_KEY 179
1095 # define EC_F_EC_KEY_NEW 182
1096 # define EC_F_EC_KEY_PRINT 180
1097 # define EC_F_EC_KEY_PRINT_FP 181
1098 # define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1099 # define EC_F_EC_POINTS_MAKE_AFFINE 136
1100 # define EC_F_EC_POINT_ADD 112
1101 # define EC_F_EC_POINT_CMP 113
1102 # define EC_F_EC_POINT_COPY 114
1103 # define EC_F_EC_POINT_DBL 115
1104 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1105 # define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1106 # define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1107 # define EC_F_EC_POINT_INVERT 210
1108 # define EC_F_EC_POINT_IS_AT_INFINITY 118
1109 # define EC_F_EC_POINT_IS_ON_CURVE 119
1110 # define EC_F_EC_POINT_MAKE_AFFINE 120
1111 # define EC_F_EC_POINT_MUL 184
1112 # define EC_F_EC_POINT_NEW 121
1113 # define EC_F_EC_POINT_OCT2POINT 122
1114 # define EC_F_EC_POINT_POINT2OCT 123
1115 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1116 # define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1117 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1118 # define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1119 # define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1120 # define EC_F_EC_POINT_SET_TO_INFINITY 127
1121 # define EC_F_EC_PRE_COMP_DUP 207
1122 # define EC_F_EC_PRE_COMP_NEW 196
1123 # define EC_F_EC_WNAF_MUL 187
1124 # define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1125 # define EC_F_I2D_ECPARAMETERS 190
1126 # define EC_F_I2D_ECPKPARAMETERS 191
1127 # define EC_F_I2D_ECPRIVATEKEY 192
1128 # define EC_F_I2O_ECPUBLICKEY 151
1129 # define EC_F_NISTP224_PRE_COMP_NEW 227
1130 # define EC_F_NISTP256_PRE_COMP_NEW 236
1131 # define EC_F_NISTP521_PRE_COMP_NEW 237
1132 # define EC_F_O2I_ECPUBLICKEY 152
1133 # define EC_F_OLD_EC_PRIV_DECODE 222
1134 # define EC_F_PKEY_EC_CTRL 197
1135 # define EC_F_PKEY_EC_CTRL_STR 198
1136 # define EC_F_PKEY_EC_DERIVE 217
1137 # define EC_F_PKEY_EC_KEYGEN 199
1138 # define EC_F_PKEY_EC_PARAMGEN 219
1139 # define EC_F_PKEY_EC_SIGN 218
1142 # define EC_R_ASN1_ERROR 115
1143 # define EC_R_ASN1_UNKNOWN_FIELD 116
1144 # define EC_R_BIGNUM_OUT_OF_RANGE 144
1145 # define EC_R_BUFFER_TOO_SMALL 100
1146 # define EC_R_COORDINATES_OUT_OF_RANGE 146
1147 # define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1148 # define EC_R_DECODE_ERROR 142
1149 # define EC_R_DISCRIMINANT_IS_ZERO 118
1150 # define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1151 # define EC_R_FIELD_TOO_LARGE 143
1152 # define EC_R_GF2M_NOT_SUPPORTED 147
1153 # define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1154 # define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1155 # define EC_R_INCOMPATIBLE_OBJECTS 101
1156 # define EC_R_INVALID_ARGUMENT 112
1157 # define EC_R_INVALID_COMPRESSED_POINT 110
1158 # define EC_R_INVALID_COMPRESSION_BIT 109
1159 # define EC_R_INVALID_CURVE 141
1160 # define EC_R_INVALID_DIGEST_TYPE 138
1161 # define EC_R_INVALID_ENCODING 102
1162 # define EC_R_INVALID_FIELD 103
1163 # define EC_R_INVALID_FORM 104
1164 # define EC_R_INVALID_GROUP_ORDER 122
1165 # define EC_R_INVALID_PENTANOMIAL_BASIS 132
1166 # define EC_R_INVALID_PRIVATE_KEY 123
1167 # define EC_R_INVALID_TRINOMIAL_BASIS 137
1168 # define EC_R_KEYS_NOT_SET 140
1169 # define EC_R_MISSING_PARAMETERS 124
1170 # define EC_R_MISSING_PRIVATE_KEY 125
1171 # define EC_R_NOT_A_NIST_PRIME 135
1172 # define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1173 # define EC_R_NOT_IMPLEMENTED 126
1174 # define EC_R_NOT_INITIALIZED 111
1175 # define EC_R_NO_FIELD_MOD 133
1176 # define EC_R_NO_PARAMETERS_SET 139
1177 # define EC_R_PASSED_NULL_PARAMETER 134
1178 # define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1179 # define EC_R_POINT_AT_INFINITY 106
1180 # define EC_R_POINT_IS_NOT_ON_CURVE 107
1181 # define EC_R_SLOT_FULL 108
1182 # define EC_R_UNDEFINED_GENERATOR 113
1183 # define EC_R_UNDEFINED_ORDER 128
1184 # define EC_R_UNKNOWN_GROUP 129
1185 # define EC_R_UNKNOWN_ORDER 114
1186 # define EC_R_UNSUPPORTED_FIELD 131
1187 # define EC_R_WRONG_CURVE_PARAMETERS 145
1188 # define EC_R_WRONG_ORDER 130