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 /** Returns the montgomery data for order(Generator)
247 * \param group EC_GROUP object
248 * \return the currently used generator (possibly NULL).
250 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
252 /** Gets the order of a EC_GROUP
253 * \param group EC_GROUP object
254 * \param order BIGNUM to which the order is copied
255 * \param ctx BN_CTX object (optional)
256 * \return 1 on success and 0 if an error occured
258 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
260 /** Gets the cofactor of a EC_GROUP
261 * \param group EC_GROUP object
262 * \param cofactor BIGNUM to which the cofactor is copied
263 * \param ctx BN_CTX object (optional)
264 * \return 1 on success and 0 if an error occured
266 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
268 /** Sets the name of a EC_GROUP object
269 * \param group EC_GROUP object
270 * \param nid NID of the curve name OID
272 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
274 /** Returns the curve name of a EC_GROUP object
275 * \param group EC_GROUP object
276 * \return NID of the curve name OID or 0 if not set.
278 int EC_GROUP_get_curve_name(const EC_GROUP *group);
280 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
281 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
283 void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
284 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
286 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
287 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
288 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
290 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
291 * \param group EC_GROUP object
292 * \param p BIGNUM with the prime number
293 * \param a BIGNUM with parameter a of the equation
294 * \param b BIGNUM with parameter b of the equation
295 * \param ctx BN_CTX object (optional)
296 * \return 1 on success and 0 if an error occured
298 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
300 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
301 * \param group EC_GROUP object
302 * \param p BIGNUM for the prime number
303 * \param a BIGNUM for parameter a of the equation
304 * \param b BIGNUM for parameter b of the equation
305 * \param ctx BN_CTX object (optional)
306 * \return 1 on success and 0 if an error occured
308 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
310 #ifndef OPENSSL_NO_EC2M
311 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
312 * \param group EC_GROUP object
313 * \param p BIGNUM with the polynomial defining the underlying field
314 * \param a BIGNUM with parameter a of the equation
315 * \param b BIGNUM with parameter b of the equation
316 * \param ctx BN_CTX object (optional)
317 * \return 1 on success and 0 if an error occured
319 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
321 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
322 * \param group EC_GROUP object
323 * \param p BIGNUM for the polynomial defining the underlying field
324 * \param a BIGNUM for parameter a of the equation
325 * \param b BIGNUM for parameter b of the equation
326 * \param ctx BN_CTX object (optional)
327 * \return 1 on success and 0 if an error occured
329 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
331 /** Returns the number of bits needed to represent a field element
332 * \param group EC_GROUP object
333 * \return number of bits needed to represent a field element
335 int EC_GROUP_get_degree(const EC_GROUP *group);
337 /** Checks whether the parameter in the EC_GROUP define a valid ec group
338 * \param group EC_GROUP object
339 * \param ctx BN_CTX object (optional)
340 * \return 1 if group is a valid ec group and 0 otherwise
342 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
344 /** Checks whether the discriminant of the elliptic curve is zero or not
345 * \param group EC_GROUP object
346 * \param ctx BN_CTX object (optional)
347 * \return 1 if the discriminant is not zero and 0 otherwise
349 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
351 /** Compares two EC_GROUP objects
352 * \param a first EC_GROUP object
353 * \param b second EC_GROUP object
354 * \param ctx BN_CTX object (optional)
355 * \return 0 if both groups are equal and 1 otherwise
357 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
359 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
360 * after choosing an appropriate EC_METHOD */
362 /** Creates a new EC_GROUP object with the specified parameters defined
363 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
364 * \param p BIGNUM with the prime number
365 * \param a BIGNUM with the parameter a of the equation
366 * \param b BIGNUM with the parameter b of the equation
367 * \param ctx BN_CTX object (optional)
368 * \return newly created EC_GROUP object with the specified parameters
370 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, 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, const BIGNUM *b, BN_CTX *ctx);
382 /** Creates a EC_GROUP object with a curve specified by a NID
383 * \param nid NID of the OID of the curve name
384 * \return newly created EC_GROUP object with specified curve or NULL
385 * if an error occurred
387 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
390 /********************************************************************/
391 /* handling of internal curves */
392 /********************************************************************/
399 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
400 * of all available curves or zero if a error occurred.
401 * In case r ist not zero nitems EC_builtin_curve structures
402 * are filled with the data of the first nitems internal groups */
403 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
405 const char *EC_curve_nid2nist(int nid);
406 int EC_curve_nist2nid(const char *name);
408 /********************************************************************/
409 /* EC_POINT functions */
410 /********************************************************************/
412 /** Creates a new EC_POINT object for the specified EC_GROUP
413 * \param group EC_GROUP the underlying EC_GROUP object
414 * \return newly created EC_POINT object or NULL if an error occurred
416 EC_POINT *EC_POINT_new(const EC_GROUP *group);
418 /** Frees a EC_POINT object
419 * \param point EC_POINT object to be freed
421 void EC_POINT_free(EC_POINT *point);
423 /** Clears and frees a EC_POINT object
424 * \param point EC_POINT object to be cleared and freed
426 void EC_POINT_clear_free(EC_POINT *point);
428 /** Copies EC_POINT object
429 * \param dst destination EC_POINT object
430 * \param src source EC_POINT object
431 * \return 1 on success and 0 if an error occured
433 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
435 /** Creates a new EC_POINT object and copies the content of the supplied
437 * \param src source EC_POINT object
438 * \param group underlying the EC_GROUP object
439 * \return newly created EC_POINT object or NULL if an error occurred
441 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
443 /** Returns the EC_METHOD used in EC_POINT object
444 * \param point EC_POINT object
445 * \return the EC_METHOD used
447 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
449 /** Sets a point to infinity (neutral element)
450 * \param group underlying EC_GROUP object
451 * \param point EC_POINT to set to infinity
452 * \return 1 on success and 0 if an error occured
454 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
456 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
457 * \param group underlying EC_GROUP object
458 * \param p EC_POINT object
459 * \param x BIGNUM with the x-coordinate
460 * \param y BIGNUM with the y-coordinate
461 * \param z BIGNUM with the z-coordinate
462 * \param ctx BN_CTX object (optional)
463 * \return 1 on success and 0 if an error occured
465 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
466 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
468 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
469 * \param group underlying EC_GROUP object
470 * \param p EC_POINT object
471 * \param x BIGNUM for the x-coordinate
472 * \param y BIGNUM for the y-coordinate
473 * \param z BIGNUM for the z-coordinate
474 * \param ctx BN_CTX object (optional)
475 * \return 1 on success and 0 if an error occured
477 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
478 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
480 /** Sets the affine coordinates of a EC_POINT over GFp
481 * \param group underlying EC_GROUP object
482 * \param p EC_POINT object
483 * \param x BIGNUM with the x-coordinate
484 * \param y BIGNUM with the y-coordinate
485 * \param ctx BN_CTX object (optional)
486 * \return 1 on success and 0 if an error occured
488 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
489 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
491 /** Gets the affine coordinates of a EC_POINT over GFp
492 * \param group underlying EC_GROUP object
493 * \param p EC_POINT object
494 * \param x BIGNUM for the x-coordinate
495 * \param y BIGNUM for the y-coordinate
496 * \param ctx BN_CTX object (optional)
497 * \return 1 on success and 0 if an error occured
499 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
500 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
502 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
503 * \param group underlying EC_GROUP object
504 * \param p EC_POINT object
505 * \param x BIGNUM with x-coordinate
506 * \param y_bit integer with the y-Bit (either 0 or 1)
507 * \param ctx BN_CTX object (optional)
508 * \return 1 on success and 0 if an error occured
510 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
511 const BIGNUM *x, int y_bit, BN_CTX *ctx);
512 #ifndef OPENSSL_NO_EC2M
513 /** Sets the affine coordinates of a EC_POINT over GF2m
514 * \param group underlying EC_GROUP object
515 * \param p EC_POINT object
516 * \param x BIGNUM with the x-coordinate
517 * \param y BIGNUM with the y-coordinate
518 * \param ctx BN_CTX object (optional)
519 * \return 1 on success and 0 if an error occured
521 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
522 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
524 /** Gets the affine coordinates of a EC_POINT over GF2m
525 * \param group underlying EC_GROUP object
526 * \param p EC_POINT object
527 * \param x BIGNUM for the x-coordinate
528 * \param y BIGNUM for the y-coordinate
529 * \param ctx BN_CTX object (optional)
530 * \return 1 on success and 0 if an error occured
532 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
533 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
535 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
536 * \param group underlying EC_GROUP object
537 * \param p EC_POINT object
538 * \param x BIGNUM with x-coordinate
539 * \param y_bit integer with the y-Bit (either 0 or 1)
540 * \param ctx BN_CTX object (optional)
541 * \return 1 on success and 0 if an error occured
543 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
544 const BIGNUM *x, int y_bit, BN_CTX *ctx);
546 /** Encodes a EC_POINT object to a octet string
547 * \param group underlying EC_GROUP object
548 * \param p EC_POINT object
549 * \param form point conversion form
550 * \param buf memory buffer for the result. If NULL the function returns
551 * required buffer size.
552 * \param len length of the memory buffer
553 * \param ctx BN_CTX object (optional)
554 * \return the length of the encoded octet string or 0 if an error occurred
556 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
557 point_conversion_form_t form,
558 unsigned char *buf, size_t len, BN_CTX *ctx);
560 /** Decodes a EC_POINT from a octet string
561 * \param group underlying EC_GROUP object
562 * \param p EC_POINT object
563 * \param buf memory buffer with the encoded ec point
564 * \param len length of the encoded ec point
565 * \param ctx BN_CTX object (optional)
566 * \return 1 on success and 0 if an error occured
568 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
569 const unsigned char *buf, size_t len, BN_CTX *ctx);
571 /* other interfaces to point2oct/oct2point: */
572 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
573 point_conversion_form_t form, BIGNUM *, BN_CTX *);
574 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
575 EC_POINT *, BN_CTX *);
576 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
577 point_conversion_form_t form, BN_CTX *);
578 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
579 EC_POINT *, BN_CTX *);
582 /********************************************************************/
583 /* functions for doing EC_POINT arithmetic */
584 /********************************************************************/
586 /** Computes the sum of two EC_POINT
587 * \param group underlying EC_GROUP object
588 * \param r EC_POINT object for the result (r = a + b)
589 * \param a EC_POINT object with the first summand
590 * \param b EC_POINT object with the second summand
591 * \param ctx BN_CTX object (optional)
592 * \return 1 on success and 0 if an error occured
594 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
596 /** Computes the double of a EC_POINT
597 * \param group underlying EC_GROUP object
598 * \param r EC_POINT object for the result (r = 2 * a)
599 * \param a EC_POINT object
600 * \param ctx BN_CTX object (optional)
601 * \return 1 on success and 0 if an error occured
603 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
605 /** Computes the inverse of a EC_POINT
606 * \param group underlying EC_GROUP object
607 * \param a EC_POINT object to be inverted (it's used for the result as well)
608 * \param ctx BN_CTX object (optional)
609 * \return 1 on success and 0 if an error occured
611 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
613 /** Checks whether the point is the neutral element of the group
614 * \param group the underlying EC_GROUP object
615 * \param p EC_POINT object
616 * \return 1 if the point is the neutral element and 0 otherwise
618 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
620 /** Checks whether the point is on the curve
621 * \param group underlying EC_GROUP object
622 * \param point EC_POINT object to check
623 * \param ctx BN_CTX object (optional)
624 * \return 1 if point if on the curve and 0 otherwise
626 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
628 /** Compares two EC_POINTs
629 * \param group underlying EC_GROUP object
630 * \param a first EC_POINT object
631 * \param b second EC_POINT object
632 * \param ctx BN_CTX object (optional)
633 * \return 0 if both points are equal and a value != 0 otherwise
635 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
637 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
638 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
640 /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
641 * \param group underlying EC_GROUP object
642 * \param r EC_POINT object for the result
643 * \param n BIGNUM with the multiplier for the group generator (optional)
644 * \param num number futher summands
645 * \param p array of size num of EC_POINT objects
646 * \param m array of size num of BIGNUM objects
647 * \param ctx BN_CTX object (optional)
648 * \return 1 on success and 0 if an error occured
650 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);
652 /** Computes r = generator * n + q * m
653 * \param group underlying EC_GROUP object
654 * \param r EC_POINT object for the result
655 * \param n BIGNUM with the multiplier for the group generator (optional)
656 * \param q EC_POINT object with the first factor of the second summand
657 * \param m BIGNUM with the second factor of the second summand
658 * \param ctx BN_CTX object (optional)
659 * \return 1 on success and 0 if an error occured
661 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
663 /** Stores multiples of generator for faster point multiplication
664 * \param group EC_GROUP object
665 * \param ctx BN_CTX object (optional)
666 * \return 1 on success and 0 if an error occured
668 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
670 /** Reports whether a precomputation has been done
671 * \param group EC_GROUP object
672 * \return 1 if a pre-computation has been done and 0 otherwise
674 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
677 /********************************************************************/
679 /********************************************************************/
681 /* EC_GROUP_get_basis_type() returns the NID of the basis type
682 * used to represent the field elements */
683 int EC_GROUP_get_basis_type(const EC_GROUP *);
684 #ifndef OPENSSL_NO_EC2M
685 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
686 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
687 unsigned int *k2, unsigned int *k3);
690 #define OPENSSL_EC_NAMED_CURVE 0x001
692 typedef struct ecpk_parameters_st ECPKPARAMETERS;
694 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
695 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
697 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
698 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
699 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
700 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
701 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
702 (unsigned char *)(x))
704 #ifndef OPENSSL_NO_BIO
705 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
707 #ifndef OPENSSL_NO_FP_API
708 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
712 /********************************************************************/
713 /* EC_KEY functions */
714 /********************************************************************/
716 typedef struct ec_key_st EC_KEY;
718 /* some values for the encoding_flag */
719 #define EC_PKEY_NO_PARAMETERS 0x001
720 #define EC_PKEY_NO_PUBKEY 0x002
722 /* some values for the flags field */
723 #define EC_FLAG_NON_FIPS_ALLOW 0x1
724 #define EC_FLAG_FIPS_CHECKED 0x2
726 /** Creates a new EC_KEY object.
727 * \return EC_KEY object or NULL if an error occurred.
729 EC_KEY *EC_KEY_new(void);
731 int EC_KEY_get_flags(const EC_KEY *key);
733 void EC_KEY_set_flags(EC_KEY *key, int flags);
735 void EC_KEY_clear_flags(EC_KEY *key, int flags);
737 /** Creates a new EC_KEY object using a named curve as underlying
739 * \param nid NID of the named curve.
740 * \return EC_KEY object or NULL if an error occurred.
742 EC_KEY *EC_KEY_new_by_curve_name(int nid);
744 /** Frees a EC_KEY object.
745 * \param key EC_KEY object to be freed.
747 void EC_KEY_free(EC_KEY *key);
749 /** Copies a EC_KEY object.
750 * \param dst destination EC_KEY object
751 * \param src src EC_KEY object
752 * \return dst or NULL if an error occurred.
754 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
756 /** Creates a new EC_KEY object and copies the content from src to it.
757 * \param src the source EC_KEY object
758 * \return newly created EC_KEY object or NULL if an error occurred.
760 EC_KEY *EC_KEY_dup(const EC_KEY *src);
762 /** Increases the internal reference count of a EC_KEY object.
763 * \param key EC_KEY object
764 * \return 1 on success and 0 if an error occurred.
766 int EC_KEY_up_ref(EC_KEY *key);
768 /** Returns the EC_GROUP object of a EC_KEY object
769 * \param key EC_KEY object
770 * \return the EC_GROUP object (possibly NULL).
772 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
774 /** Sets the EC_GROUP of a EC_KEY object.
775 * \param key EC_KEY object
776 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
777 * object will use an own copy of the EC_GROUP).
778 * \return 1 on success and 0 if an error occurred.
780 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
782 /** Returns the private key of a EC_KEY object.
783 * \param key EC_KEY object
784 * \return a BIGNUM with the private key (possibly NULL).
786 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
788 /** Sets the private key of a EC_KEY object.
789 * \param key EC_KEY object
790 * \param prv BIGNUM with the private key (note: the EC_KEY object
791 * will use an own copy of the BIGNUM).
792 * \return 1 on success and 0 if an error occurred.
794 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
796 /** Returns the public key of a EC_KEY object.
797 * \param key the EC_KEY object
798 * \return a EC_POINT object with the public key (possibly NULL)
800 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
802 /** Sets the public key of a EC_KEY object.
803 * \param key EC_KEY object
804 * \param pub EC_POINT object with the public key (note: the EC_KEY object
805 * will use an own copy of the EC_POINT object).
806 * \return 1 on success and 0 if an error occurred.
808 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
810 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
811 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
812 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
813 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
814 /* functions to set/get method specific data */
815 void *EC_KEY_get_key_method_data(EC_KEY *key,
816 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
817 /** Sets the key method data of an EC_KEY object, if none has yet been set.
818 * \param key EC_KEY object
819 * \param data opaque data to install.
820 * \param dup_func a function that duplicates |data|.
821 * \param free_func a function that frees |data|.
822 * \param clear_free_func a function that wipes and frees |data|.
823 * \return the previously set data pointer, or NULL if |data| was inserted.
825 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
826 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
827 /* wrapper functions for the underlying EC_GROUP object */
828 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
830 /** Creates a table of pre-computed multiples of the generator to
831 * accelerate further EC_KEY operations.
832 * \param key EC_KEY object
833 * \param ctx BN_CTX object (optional)
834 * \return 1 on success and 0 if an error occurred.
836 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
838 /** Creates a new ec private (and optional a new public) key.
839 * \param key EC_KEY object
840 * \return 1 on success and 0 if an error occurred.
842 int EC_KEY_generate_key(EC_KEY *key);
844 /** Verifies that a private and/or public key is valid.
845 * \param key the EC_KEY object
846 * \return 1 on success and 0 otherwise.
848 int EC_KEY_check_key(const EC_KEY *key);
850 /** Sets a public key from affine coordindates performing
851 * neccessary NIST PKV tests.
852 * \param key the EC_KEY object
853 * \param x public key x coordinate
854 * \param y public key y coordinate
855 * \return 1 on success and 0 otherwise.
857 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
860 /********************************************************************/
861 /* de- and encoding functions for SEC1 ECPrivateKey */
862 /********************************************************************/
864 /** Decodes a private key from a memory buffer.
865 * \param key a pointer to a EC_KEY object which should be used (or NULL)
866 * \param in pointer to memory with the DER encoded private key
867 * \param len length of the DER encoded private key
868 * \return the decoded private key or NULL if an error occurred.
870 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
872 /** Encodes a private key object and stores the result in a buffer.
873 * \param key the EC_KEY object to encode
874 * \param out the buffer for the result (if NULL the function returns number
876 * \return 1 on success and 0 if an error occurred.
878 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
881 /********************************************************************/
882 /* de- and encoding functions for EC parameters */
883 /********************************************************************/
885 /** Decodes ec parameter from a memory buffer.
886 * \param key a pointer to a EC_KEY object which should be used (or NULL)
887 * \param in pointer to memory with the DER encoded ec parameters
888 * \param len length of the DER encoded ec parameters
889 * \return a EC_KEY object with the decoded parameters or NULL if an error
892 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
894 /** Encodes ec parameter and stores the result in a buffer.
895 * \param key the EC_KEY object with ec paramters to encode
896 * \param out the buffer for the result (if NULL the function returns number
898 * \return 1 on success and 0 if an error occurred.
900 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
903 /********************************************************************/
904 /* de- and encoding functions for EC public key */
905 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
906 /********************************************************************/
908 /** Decodes a ec public key from a octet string.
909 * \param key a pointer to a EC_KEY object which should be used
910 * \param in memory buffer with the encoded public key
911 * \param len length of the encoded public key
912 * \return EC_KEY object with decoded public key or NULL if an error
915 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
917 /** Encodes a ec public key in an octet string.
918 * \param key the EC_KEY object with the public key
919 * \param out the buffer for the result (if NULL the function returns number
921 * \return 1 on success and 0 if an error occurred
923 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
925 #ifndef OPENSSL_NO_BIO
926 /** Prints out the ec parameters on human readable form.
927 * \param bp BIO object to which the information is printed
928 * \param key EC_KEY object
929 * \return 1 on success and 0 if an error occurred
931 int ECParameters_print(BIO *bp, const EC_KEY *key);
933 /** Prints out the contents of a EC_KEY object
934 * \param bp BIO object to which the information is printed
935 * \param key EC_KEY object
936 * \param off line offset
937 * \return 1 on success and 0 if an error occurred
939 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
942 #ifndef OPENSSL_NO_FP_API
943 /** Prints out the ec parameters on human readable form.
944 * \param fp file descriptor to which the information is printed
945 * \param key EC_KEY object
946 * \return 1 on success and 0 if an error occurred
948 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
950 /** Prints out the contents of a EC_KEY object
951 * \param fp file descriptor to which the information is printed
952 * \param key EC_KEY object
953 * \param off line offset
954 * \return 1 on success and 0 if an error occurred
956 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
960 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
963 #if defined(__SUNPRO_C)
964 # if __SUNPRO_C >= 0x520
965 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
970 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
971 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
972 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
973 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
975 #define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
976 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
977 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
978 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
980 #define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
981 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
982 EVP_PKEY_OP_DERIVE, \
983 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
985 #define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
986 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
987 EVP_PKEY_OP_DERIVE, \
988 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
990 #define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
991 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
992 EVP_PKEY_OP_DERIVE, \
993 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
995 #define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
996 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
997 EVP_PKEY_OP_DERIVE, \
998 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1000 #define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1001 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1002 EVP_PKEY_OP_DERIVE, \
1003 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
1005 #define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1006 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1007 EVP_PKEY_OP_DERIVE, \
1008 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
1010 #define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1011 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1012 EVP_PKEY_OP_DERIVE, \
1013 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1015 #define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1016 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1017 EVP_PKEY_OP_DERIVE, \
1018 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
1020 #define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1021 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1022 EVP_PKEY_OP_DERIVE, \
1023 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
1025 #define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1026 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1027 EVP_PKEY_OP_DERIVE, \
1028 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
1030 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
1031 #define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
1032 #define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
1033 #define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
1034 #define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
1035 #define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
1036 #define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
1037 #define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
1038 #define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
1039 #define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
1041 #define EVP_PKEY_ECDH_KDF_NONE 1
1042 #define EVP_PKEY_ECDH_KDF_X9_62 2
1044 /* BEGIN ERROR CODES */
1045 /* The following lines are auto generated by the script mkerr.pl. Any changes
1046 * made after this point may be overwritten when the script is next run.
1048 void ERR_load_EC_strings(void);
1050 /* Error codes for the EC functions. */
1052 /* Function codes. */
1053 #define EC_F_BN_TO_FELEM 224
1054 #define EC_F_COMPUTE_WNAF 143
1055 #define EC_F_D2I_ECPARAMETERS 144
1056 #define EC_F_D2I_ECPKPARAMETERS 145
1057 #define EC_F_D2I_ECPRIVATEKEY 146
1058 #define EC_F_DO_EC_KEY_PRINT 221
1059 #define EC_F_ECDH_CMS_DECRYPT 238
1060 #define EC_F_ECDH_CMS_SET_SHARED_INFO 239
1061 #define EC_F_ECKEY_PARAM2TYPE 223
1062 #define EC_F_ECKEY_PARAM_DECODE 212
1063 #define EC_F_ECKEY_PRIV_DECODE 213
1064 #define EC_F_ECKEY_PRIV_ENCODE 214
1065 #define EC_F_ECKEY_PUB_DECODE 215
1066 #define EC_F_ECKEY_PUB_ENCODE 216
1067 #define EC_F_ECKEY_TYPE2PARAM 220
1068 #define EC_F_ECPARAMETERS_PRINT 147
1069 #define EC_F_ECPARAMETERS_PRINT_FP 148
1070 #define EC_F_ECPKPARAMETERS_PRINT 149
1071 #define EC_F_ECPKPARAMETERS_PRINT_FP 150
1072 #define EC_F_ECP_NIST_MOD_192 203
1073 #define EC_F_ECP_NIST_MOD_224 204
1074 #define EC_F_ECP_NIST_MOD_256 205
1075 #define EC_F_ECP_NIST_MOD_521 206
1076 #define EC_F_EC_ASN1_GROUP2CURVE 153
1077 #define EC_F_EC_ASN1_GROUP2FIELDID 154
1078 #define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1079 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1080 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1081 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1082 #define EC_F_EC_EX_DATA_SET_DATA 211
1083 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1084 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1085 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1086 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1087 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1088 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1089 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1090 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1091 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1092 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1093 #define EC_F_EC_GFP_MONT_FIELD_MUL 131
1094 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1095 #define EC_F_EC_GFP_MONT_FIELD_SQR 132
1096 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1097 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1098 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1099 #define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1100 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1101 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1102 #define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1103 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1104 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1105 #define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1106 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1107 #define EC_F_EC_GFP_NIST_FIELD_MUL 200
1108 #define EC_F_EC_GFP_NIST_FIELD_SQR 201
1109 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1110 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1111 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1112 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1113 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1114 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1115 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1116 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1117 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1118 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1119 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1120 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1121 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1122 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1123 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1124 #define EC_F_EC_GROUP_CHECK 170
1125 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1126 #define EC_F_EC_GROUP_COPY 106
1127 #define EC_F_EC_GROUP_GET0_GENERATOR 139
1128 #define EC_F_EC_GROUP_GET_COFACTOR 140
1129 #define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1130 #define EC_F_EC_GROUP_GET_CURVE_GFP 130
1131 #define EC_F_EC_GROUP_GET_DEGREE 173
1132 #define EC_F_EC_GROUP_GET_ORDER 141
1133 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1134 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1135 #define EC_F_EC_GROUP_NEW 108
1136 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1137 #define EC_F_EC_GROUP_NEW_FROM_DATA 175
1138 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1139 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1140 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
1141 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1142 #define EC_F_EC_GROUP_SET_GENERATOR 111
1143 #define EC_F_EC_KEY_CHECK_KEY 177
1144 #define EC_F_EC_KEY_COPY 178
1145 #define EC_F_EC_KEY_GENERATE_KEY 179
1146 #define EC_F_EC_KEY_NEW 182
1147 #define EC_F_EC_KEY_PRINT 180
1148 #define EC_F_EC_KEY_PRINT_FP 181
1149 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1150 #define EC_F_EC_POINTS_MAKE_AFFINE 136
1151 #define EC_F_EC_POINT_ADD 112
1152 #define EC_F_EC_POINT_CMP 113
1153 #define EC_F_EC_POINT_COPY 114
1154 #define EC_F_EC_POINT_DBL 115
1155 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1156 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1157 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1158 #define EC_F_EC_POINT_INVERT 210
1159 #define EC_F_EC_POINT_IS_AT_INFINITY 118
1160 #define EC_F_EC_POINT_IS_ON_CURVE 119
1161 #define EC_F_EC_POINT_MAKE_AFFINE 120
1162 #define EC_F_EC_POINT_MUL 184
1163 #define EC_F_EC_POINT_NEW 121
1164 #define EC_F_EC_POINT_OCT2POINT 122
1165 #define EC_F_EC_POINT_POINT2OCT 123
1166 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1167 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1168 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1169 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1170 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1171 #define EC_F_EC_POINT_SET_TO_INFINITY 127
1172 #define EC_F_EC_PRE_COMP_DUP 207
1173 #define EC_F_EC_PRE_COMP_NEW 196
1174 #define EC_F_EC_WNAF_MUL 187
1175 #define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1176 #define EC_F_I2D_ECPARAMETERS 190
1177 #define EC_F_I2D_ECPKPARAMETERS 191
1178 #define EC_F_I2D_ECPRIVATEKEY 192
1179 #define EC_F_I2O_ECPUBLICKEY 151
1180 #define EC_F_NISTP224_PRE_COMP_NEW 227
1181 #define EC_F_NISTP256_PRE_COMP_NEW 236
1182 #define EC_F_NISTP521_PRE_COMP_NEW 237
1183 #define EC_F_ECP_NISTZ256_GET_AFFINE 240
1184 #define EC_F_ECP_NISTZ256_POINTS_MUL 241
1185 #define EC_F_ECP_NISTZ256_WINDOWED_MUL 242
1186 #define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE 243
1187 #define EC_F_ECP_NISTZ256_PRE_COMP_NEW 244
1188 #define EC_F_O2I_ECPUBLICKEY 152
1189 #define EC_F_OLD_EC_PRIV_DECODE 222
1190 #define EC_F_PKEY_EC_CTRL 197
1191 #define EC_F_PKEY_EC_CTRL_STR 198
1192 #define EC_F_PKEY_EC_DERIVE 217
1193 #define EC_F_PKEY_EC_KEYGEN 199
1194 #define EC_F_PKEY_EC_PARAMGEN 219
1195 #define EC_F_PKEY_EC_SIGN 218
1198 #define EC_R_ASN1_ERROR 115
1199 #define EC_R_ASN1_UNKNOWN_FIELD 116
1200 #define EC_R_BIGNUM_OUT_OF_RANGE 144
1201 #define EC_R_BUFFER_TOO_SMALL 100
1202 #define EC_R_COORDINATES_OUT_OF_RANGE 146
1203 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1204 #define EC_R_DECODE_ERROR 142
1205 #define EC_R_DISCRIMINANT_IS_ZERO 118
1206 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1207 #define EC_R_FIELD_TOO_LARGE 143
1208 #define EC_R_GF2M_NOT_SUPPORTED 147
1209 #define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1210 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1211 #define EC_R_INCOMPATIBLE_OBJECTS 101
1212 #define EC_R_INVALID_ARGUMENT 112
1213 #define EC_R_INVALID_COMPRESSED_POINT 110
1214 #define EC_R_INVALID_COMPRESSION_BIT 109
1215 #define EC_R_INVALID_CURVE 141
1216 #define EC_R_INVALID_DIGEST 151
1217 #define EC_R_INVALID_DIGEST_TYPE 138
1218 #define EC_R_INVALID_ENCODING 102
1219 #define EC_R_INVALID_FIELD 103
1220 #define EC_R_INVALID_FORM 104
1221 #define EC_R_INVALID_GROUP_ORDER 122
1222 #define EC_R_INVALID_PENTANOMIAL_BASIS 132
1223 #define EC_R_INVALID_PRIVATE_KEY 123
1224 #define EC_R_INVALID_TRINOMIAL_BASIS 137
1225 #define EC_R_KDF_PARAMETER_ERROR 148
1226 #define EC_R_KEYS_NOT_SET 140
1227 #define EC_R_MISSING_PARAMETERS 124
1228 #define EC_R_MISSING_PRIVATE_KEY 125
1229 #define EC_R_NOT_A_NIST_PRIME 135
1230 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1231 #define EC_R_NOT_IMPLEMENTED 126
1232 #define EC_R_NOT_INITIALIZED 111
1233 #define EC_R_NO_FIELD_MOD 133
1234 #define EC_R_NO_PARAMETERS_SET 139
1235 #define EC_R_PASSED_NULL_PARAMETER 134
1236 #define EC_R_PEER_KEY_ERROR 149
1237 #define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1238 #define EC_R_POINT_AT_INFINITY 106
1239 #define EC_R_POINT_IS_NOT_ON_CURVE 107
1240 #define EC_R_SHARED_INFO_ERROR 150
1241 #define EC_R_SLOT_FULL 108
1242 #define EC_R_UNDEFINED_GENERATOR 113
1243 #define EC_R_UNDEFINED_ORDER 128
1244 #define EC_R_UNKNOWN_GROUP 129
1245 #define EC_R_UNKNOWN_ORDER 114
1246 #define EC_R_UNSUPPORTED_FIELD 131
1247 #define EC_R_WRONG_CURVE_PARAMETERS 145
1248 #define EC_R_WRONG_ORDER 130