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 #ifndef OPENSSL_SYS_WIN32
156 /** Returns 64-bit optimized methods for nistp224
157 * \return EC_METHOD object
159 const EC_METHOD *EC_GFp_nistp224_method(void);
161 /** Returns 64-bit optimized methods for nistp256
162 * \return EC_METHOD object
164 const EC_METHOD *EC_GFp_nistp256_method(void);
166 /** Returns 64-bit optimized methods for nistp521
167 * \return EC_METHOD object
169 const EC_METHOD *EC_GFp_nistp521_method(void);
173 #ifndef OPENSSL_NO_EC2M
174 /********************************************************************/
175 /* EC_METHOD for curves over GF(2^m) */
176 /********************************************************************/
178 /** Returns the basic GF2m ec method
179 * \return EC_METHOD object
181 const EC_METHOD *EC_GF2m_simple_method(void);
186 /********************************************************************/
187 /* EC_GROUP functions */
188 /********************************************************************/
190 /** Creates a new EC_GROUP object
191 * \param meth EC_METHOD to use
192 * \return newly created EC_GROUP object or NULL in case of an error.
194 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
196 /** Frees a EC_GROUP object
197 * \param group EC_GROUP object to be freed.
199 void EC_GROUP_free(EC_GROUP *group);
201 /** Clears and frees a EC_GROUP object
202 * \param group EC_GROUP object to be cleared and freed.
204 void EC_GROUP_clear_free(EC_GROUP *group);
206 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
207 * \param dst destination EC_GROUP object
208 * \param src source EC_GROUP object
209 * \return 1 on success and 0 if an error occurred.
211 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
213 /** Creates a new EC_GROUP object and copies the copies the content
214 * form src to the newly created EC_KEY object
215 * \param src source EC_GROUP object
216 * \return newly created EC_GROUP object or NULL in case of an error.
218 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
220 /** Returns the EC_METHOD of the EC_GROUP object.
221 * \param group EC_GROUP object
222 * \return EC_METHOD used in this EC_GROUP object.
224 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
226 /** Returns the field type of the EC_METHOD.
227 * \param meth EC_METHOD object
228 * \return NID of the underlying field type OID.
230 int EC_METHOD_get_field_type(const EC_METHOD *meth);
232 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
233 * \param group EC_GROUP object
234 * \param generator EC_POINT object with the generator.
235 * \param order the order of the group generated by the generator.
236 * \param cofactor the index of the sub-group generated by the generator
237 * in the group of all points on the elliptic curve.
238 * \return 1 on success and 0 if an error occurred
240 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
242 /** Returns the generator of a EC_GROUP object.
243 * \param group EC_GROUP object
244 * \return the currently used generator (possibly NULL).
246 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
248 /** Returns the montgomery data for order(Generator)
249 * \param group EC_GROUP object
250 * \return the currently used generator (possibly NULL).
252 BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
254 /** Gets the order of a EC_GROUP
255 * \param group EC_GROUP object
256 * \param order BIGNUM to which the order is copied
257 * \param ctx BN_CTX object (optional)
258 * \return 1 on success and 0 if an error occurred
260 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
262 /** Gets the cofactor of a EC_GROUP
263 * \param group EC_GROUP object
264 * \param cofactor BIGNUM to which the cofactor is copied
265 * \param ctx BN_CTX object (optional)
266 * \return 1 on success and 0 if an error occurred
268 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
270 /** Sets the name of a EC_GROUP object
271 * \param group EC_GROUP object
272 * \param nid NID of the curve name OID
274 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
276 /** Returns the curve name of a EC_GROUP object
277 * \param group EC_GROUP object
278 * \return NID of the curve name OID or 0 if not set.
280 int EC_GROUP_get_curve_name(const EC_GROUP *group);
282 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
283 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
285 void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
286 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
288 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
289 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
290 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
292 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
293 * \param group EC_GROUP object
294 * \param p BIGNUM with the prime number
295 * \param a BIGNUM with parameter a of the equation
296 * \param b BIGNUM with parameter b of the equation
297 * \param ctx BN_CTX object (optional)
298 * \return 1 on success and 0 if an error occurred
300 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
302 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
303 * \param group EC_GROUP object
304 * \param p BIGNUM for the prime number
305 * \param a BIGNUM for parameter a of the equation
306 * \param b BIGNUM for parameter b of the equation
307 * \param ctx BN_CTX object (optional)
308 * \return 1 on success and 0 if an error occurred
310 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
312 #ifndef OPENSSL_NO_EC2M
313 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
314 * \param group EC_GROUP object
315 * \param p BIGNUM with the polynomial defining the underlying field
316 * \param a BIGNUM with parameter a of the equation
317 * \param b BIGNUM with parameter b of the equation
318 * \param ctx BN_CTX object (optional)
319 * \return 1 on success and 0 if an error occurred
321 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
323 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
324 * \param group EC_GROUP object
325 * \param p BIGNUM for the polynomial defining the underlying field
326 * \param a BIGNUM for parameter a of the equation
327 * \param b BIGNUM for parameter b of the equation
328 * \param ctx BN_CTX object (optional)
329 * \return 1 on success and 0 if an error occurred
331 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
333 /** Returns the number of bits needed to represent a field element
334 * \param group EC_GROUP object
335 * \return number of bits needed to represent a field element
337 int EC_GROUP_get_degree(const EC_GROUP *group);
339 /** Checks whether the parameter in the EC_GROUP define a valid ec group
340 * \param group EC_GROUP object
341 * \param ctx BN_CTX object (optional)
342 * \return 1 if group is a valid ec group and 0 otherwise
344 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
346 /** Checks whether the discriminant of the elliptic curve is zero or not
347 * \param group EC_GROUP object
348 * \param ctx BN_CTX object (optional)
349 * \return 1 if the discriminant is not zero and 0 otherwise
351 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
353 /** Compares two EC_GROUP objects
354 * \param a first EC_GROUP object
355 * \param b second EC_GROUP object
356 * \param ctx BN_CTX object (optional)
357 * \return 0 if both groups are equal and 1 otherwise
359 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
361 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
362 * after choosing an appropriate EC_METHOD */
364 /** Creates a new EC_GROUP object with the specified parameters defined
365 * over GFp (defined by the equation y^2 = x^3 + a*x + b)
366 * \param p BIGNUM with the prime number
367 * \param a BIGNUM with the parameter a of the equation
368 * \param b BIGNUM with the parameter b of the equation
369 * \param ctx BN_CTX object (optional)
370 * \return newly created EC_GROUP object with the specified parameters
372 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
373 #ifndef OPENSSL_NO_EC2M
374 /** Creates a new EC_GROUP object with the specified parameters defined
375 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
376 * \param p BIGNUM with the polynomial defining the underlying field
377 * \param a BIGNUM with the parameter a of the equation
378 * \param b BIGNUM with the parameter b of the equation
379 * \param ctx BN_CTX object (optional)
380 * \return newly created EC_GROUP object with the specified parameters
382 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
384 /** Creates a EC_GROUP object with a curve specified by a NID
385 * \param nid NID of the OID of the curve name
386 * \return newly created EC_GROUP object with specified curve or NULL
387 * if an error occurred
389 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
392 /********************************************************************/
393 /* handling of internal curves */
394 /********************************************************************/
401 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
402 * of all available curves or zero if a error occurred.
403 * In case r ist not zero nitems EC_builtin_curve structures
404 * are filled with the data of the first nitems internal groups */
405 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
407 const char *EC_curve_nid2nist(int nid);
408 int EC_curve_nist2nid(const char *name);
410 /********************************************************************/
411 /* EC_POINT functions */
412 /********************************************************************/
414 /** Creates a new EC_POINT object for the specified EC_GROUP
415 * \param group EC_GROUP the underlying EC_GROUP object
416 * \return newly created EC_POINT object or NULL if an error occurred
418 EC_POINT *EC_POINT_new(const EC_GROUP *group);
420 /** Frees a EC_POINT object
421 * \param point EC_POINT object to be freed
423 void EC_POINT_free(EC_POINT *point);
425 /** Clears and frees a EC_POINT object
426 * \param point EC_POINT object to be cleared and freed
428 void EC_POINT_clear_free(EC_POINT *point);
430 /** Copies EC_POINT object
431 * \param dst destination EC_POINT object
432 * \param src source EC_POINT object
433 * \return 1 on success and 0 if an error occurred
435 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
437 /** Creates a new EC_POINT object and copies the content of the supplied
439 * \param src source EC_POINT object
440 * \param group underlying the EC_GROUP object
441 * \return newly created EC_POINT object or NULL if an error occurred
443 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
445 /** Returns the EC_METHOD used in EC_POINT object
446 * \param point EC_POINT object
447 * \return the EC_METHOD used
449 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
451 /** Sets a point to infinity (neutral element)
452 * \param group underlying EC_GROUP object
453 * \param point EC_POINT to set to infinity
454 * \return 1 on success and 0 if an error occurred
456 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
458 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
459 * \param group underlying EC_GROUP object
460 * \param p EC_POINT object
461 * \param x BIGNUM with the x-coordinate
462 * \param y BIGNUM with the y-coordinate
463 * \param z BIGNUM with the z-coordinate
464 * \param ctx BN_CTX object (optional)
465 * \return 1 on success and 0 if an error occurred
467 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
468 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
470 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
471 * \param group underlying EC_GROUP object
472 * \param p EC_POINT object
473 * \param x BIGNUM for the x-coordinate
474 * \param y BIGNUM for the y-coordinate
475 * \param z BIGNUM for the z-coordinate
476 * \param ctx BN_CTX object (optional)
477 * \return 1 on success and 0 if an error occurred
479 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
480 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
482 /** Sets the affine coordinates of a EC_POINT over GFp
483 * \param group underlying EC_GROUP object
484 * \param p EC_POINT object
485 * \param x BIGNUM with the x-coordinate
486 * \param y BIGNUM with the y-coordinate
487 * \param ctx BN_CTX object (optional)
488 * \return 1 on success and 0 if an error occurred
490 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
491 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
493 /** Gets the affine coordinates of a EC_POINT over GFp
494 * \param group underlying EC_GROUP object
495 * \param p EC_POINT object
496 * \param x BIGNUM for the x-coordinate
497 * \param y BIGNUM for the y-coordinate
498 * \param ctx BN_CTX object (optional)
499 * \return 1 on success and 0 if an error occurred
501 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
502 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
504 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
505 * \param group underlying EC_GROUP object
506 * \param p EC_POINT object
507 * \param x BIGNUM with x-coordinate
508 * \param y_bit integer with the y-Bit (either 0 or 1)
509 * \param ctx BN_CTX object (optional)
510 * \return 1 on success and 0 if an error occurred
512 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
513 const BIGNUM *x, int y_bit, BN_CTX *ctx);
514 #ifndef OPENSSL_NO_EC2M
515 /** Sets the affine coordinates of a EC_POINT over GF2m
516 * \param group underlying EC_GROUP object
517 * \param p EC_POINT object
518 * \param x BIGNUM with the x-coordinate
519 * \param y BIGNUM with the y-coordinate
520 * \param ctx BN_CTX object (optional)
521 * \return 1 on success and 0 if an error occurred
523 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
524 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
526 /** Gets the affine coordinates of a EC_POINT over GF2m
527 * \param group underlying EC_GROUP object
528 * \param p EC_POINT object
529 * \param x BIGNUM for the x-coordinate
530 * \param y BIGNUM for the y-coordinate
531 * \param ctx BN_CTX object (optional)
532 * \return 1 on success and 0 if an error occurred
534 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
535 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
537 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
538 * \param group underlying EC_GROUP object
539 * \param p EC_POINT object
540 * \param x BIGNUM with x-coordinate
541 * \param y_bit integer with the y-Bit (either 0 or 1)
542 * \param ctx BN_CTX object (optional)
543 * \return 1 on success and 0 if an error occurred
545 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
546 const BIGNUM *x, int y_bit, BN_CTX *ctx);
548 /** Encodes a EC_POINT object to a octet string
549 * \param group underlying EC_GROUP object
550 * \param p EC_POINT object
551 * \param form point conversion form
552 * \param buf memory buffer for the result. If NULL the function returns
553 * required buffer size.
554 * \param len length of the memory buffer
555 * \param ctx BN_CTX object (optional)
556 * \return the length of the encoded octet string or 0 if an error occurred
558 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
559 point_conversion_form_t form,
560 unsigned char *buf, size_t len, BN_CTX *ctx);
562 /** Decodes a EC_POINT from a octet string
563 * \param group underlying EC_GROUP object
564 * \param p EC_POINT object
565 * \param buf memory buffer with the encoded ec point
566 * \param len length of the encoded ec point
567 * \param ctx BN_CTX object (optional)
568 * \return 1 on success and 0 if an error occurred
570 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
571 const unsigned char *buf, size_t len, BN_CTX *ctx);
573 /* other interfaces to point2oct/oct2point: */
574 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
575 point_conversion_form_t form, BIGNUM *, BN_CTX *);
576 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
577 EC_POINT *, BN_CTX *);
578 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
579 point_conversion_form_t form, BN_CTX *);
580 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
581 EC_POINT *, BN_CTX *);
584 /********************************************************************/
585 /* functions for doing EC_POINT arithmetic */
586 /********************************************************************/
588 /** Computes the sum of two EC_POINT
589 * \param group underlying EC_GROUP object
590 * \param r EC_POINT object for the result (r = a + b)
591 * \param a EC_POINT object with the first summand
592 * \param b EC_POINT object with the second summand
593 * \param ctx BN_CTX object (optional)
594 * \return 1 on success and 0 if an error occurred
596 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
598 /** Computes the double of a EC_POINT
599 * \param group underlying EC_GROUP object
600 * \param r EC_POINT object for the result (r = 2 * a)
601 * \param a EC_POINT object
602 * \param ctx BN_CTX object (optional)
603 * \return 1 on success and 0 if an error occurred
605 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
607 /** Computes the inverse of a EC_POINT
608 * \param group underlying EC_GROUP object
609 * \param a EC_POINT object to be inverted (it's used for the result as well)
610 * \param ctx BN_CTX object (optional)
611 * \return 1 on success and 0 if an error occurred
613 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
615 /** Checks whether the point is the neutral element of the group
616 * \param group the underlying EC_GROUP object
617 * \param p EC_POINT object
618 * \return 1 if the point is the neutral element and 0 otherwise
620 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
622 /** Checks whether the point is on the curve
623 * \param group underlying EC_GROUP object
624 * \param point EC_POINT object to check
625 * \param ctx BN_CTX object (optional)
626 * \return 1 if point if on the curve and 0 otherwise
628 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
630 /** Compares two EC_POINTs
631 * \param group underlying EC_GROUP object
632 * \param a first EC_POINT object
633 * \param b second EC_POINT object
634 * \param ctx BN_CTX object (optional)
635 * \return 0 if both points are equal and a value != 0 otherwise
637 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
639 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
640 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
642 /** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
643 * \param group underlying EC_GROUP object
644 * \param r EC_POINT object for the result
645 * \param n BIGNUM with the multiplier for the group generator (optional)
646 * \param num number futher summands
647 * \param p array of size num of EC_POINT objects
648 * \param m array of size num of BIGNUM objects
649 * \param ctx BN_CTX object (optional)
650 * \return 1 on success and 0 if an error occurred
652 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);
654 /** Computes r = generator * n + q * m
655 * \param group underlying EC_GROUP object
656 * \param r EC_POINT object for the result
657 * \param n BIGNUM with the multiplier for the group generator (optional)
658 * \param q EC_POINT object with the first factor of the second summand
659 * \param m BIGNUM with the second factor of the second summand
660 * \param ctx BN_CTX object (optional)
661 * \return 1 on success and 0 if an error occurred
663 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
665 /** Stores multiples of generator for faster point multiplication
666 * \param group EC_GROUP object
667 * \param ctx BN_CTX object (optional)
668 * \return 1 on success and 0 if an error occurred
670 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
672 /** Reports whether a precomputation has been done
673 * \param group EC_GROUP object
674 * \return 1 if a pre-computation has been done and 0 otherwise
676 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
679 /********************************************************************/
681 /********************************************************************/
683 /* EC_GROUP_get_basis_type() returns the NID of the basis type
684 * used to represent the field elements */
685 int EC_GROUP_get_basis_type(const EC_GROUP *);
686 #ifndef OPENSSL_NO_EC2M
687 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
688 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
689 unsigned int *k2, unsigned int *k3);
692 #define OPENSSL_EC_NAMED_CURVE 0x001
694 typedef struct ecpk_parameters_st ECPKPARAMETERS;
696 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
697 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
699 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
700 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
701 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
702 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
703 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
704 (unsigned char *)(x))
706 #ifndef OPENSSL_NO_BIO
707 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
709 #ifndef OPENSSL_NO_FP_API
710 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
714 /********************************************************************/
715 /* EC_KEY functions */
716 /********************************************************************/
718 typedef struct ec_key_st EC_KEY;
720 /* some values for the encoding_flag */
721 #define EC_PKEY_NO_PARAMETERS 0x001
722 #define EC_PKEY_NO_PUBKEY 0x002
724 /* some values for the flags field */
725 #define EC_FLAG_NON_FIPS_ALLOW 0x1
726 #define EC_FLAG_FIPS_CHECKED 0x2
728 /** Creates a new EC_KEY object.
729 * \return EC_KEY object or NULL if an error occurred.
731 EC_KEY *EC_KEY_new(void);
733 int EC_KEY_get_flags(const EC_KEY *key);
735 void EC_KEY_set_flags(EC_KEY *key, int flags);
737 void EC_KEY_clear_flags(EC_KEY *key, int flags);
739 /** Creates a new EC_KEY object using a named curve as underlying
741 * \param nid NID of the named curve.
742 * \return EC_KEY object or NULL if an error occurred.
744 EC_KEY *EC_KEY_new_by_curve_name(int nid);
746 /** Frees a EC_KEY object.
747 * \param key EC_KEY object to be freed.
749 void EC_KEY_free(EC_KEY *key);
751 /** Copies a EC_KEY object.
752 * \param dst destination EC_KEY object
753 * \param src src EC_KEY object
754 * \return dst or NULL if an error occurred.
756 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
758 /** Creates a new EC_KEY object and copies the content from src to it.
759 * \param src the source EC_KEY object
760 * \return newly created EC_KEY object or NULL if an error occurred.
762 EC_KEY *EC_KEY_dup(const EC_KEY *src);
764 /** Increases the internal reference count of a EC_KEY object.
765 * \param key EC_KEY object
766 * \return 1 on success and 0 if an error occurred.
768 int EC_KEY_up_ref(EC_KEY *key);
770 /** Returns the EC_GROUP object of a EC_KEY object
771 * \param key EC_KEY object
772 * \return the EC_GROUP object (possibly NULL).
774 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
776 /** Sets the EC_GROUP of a EC_KEY object.
777 * \param key EC_KEY object
778 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
779 * object will use an own copy of the EC_GROUP).
780 * \return 1 on success and 0 if an error occurred.
782 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
784 /** Returns the private key of a EC_KEY object.
785 * \param key EC_KEY object
786 * \return a BIGNUM with the private key (possibly NULL).
788 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
790 /** Sets the private key of a EC_KEY object.
791 * \param key EC_KEY object
792 * \param prv BIGNUM with the private key (note: the EC_KEY object
793 * will use an own copy of the BIGNUM).
794 * \return 1 on success and 0 if an error occurred.
796 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
798 /** Returns the public key of a EC_KEY object.
799 * \param key the EC_KEY object
800 * \return a EC_POINT object with the public key (possibly NULL)
802 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
804 /** Sets the public key of a EC_KEY object.
805 * \param key EC_KEY object
806 * \param pub EC_POINT object with the public key (note: the EC_KEY object
807 * will use an own copy of the EC_POINT object).
808 * \return 1 on success and 0 if an error occurred.
810 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
812 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
813 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
814 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
815 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
816 /* functions to set/get method specific data */
817 void *EC_KEY_get_key_method_data(EC_KEY *key,
818 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
819 /** Sets the key method data of an EC_KEY object, if none has yet been set.
820 * \param key EC_KEY object
821 * \param data opaque data to install.
822 * \param dup_func a function that duplicates |data|.
823 * \param free_func a function that frees |data|.
824 * \param clear_free_func a function that wipes and frees |data|.
825 * \return the previously set data pointer, or NULL if |data| was inserted.
827 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
828 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
829 /* wrapper functions for the underlying EC_GROUP object */
830 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
832 /** Creates a table of pre-computed multiples of the generator to
833 * accelerate further EC_KEY operations.
834 * \param key EC_KEY object
835 * \param ctx BN_CTX object (optional)
836 * \return 1 on success and 0 if an error occurred.
838 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
840 /** Creates a new ec private (and optional a new public) key.
841 * \param key EC_KEY object
842 * \return 1 on success and 0 if an error occurred.
844 int EC_KEY_generate_key(EC_KEY *key);
846 /** Verifies that a private and/or public key is valid.
847 * \param key the EC_KEY object
848 * \return 1 on success and 0 otherwise.
850 int EC_KEY_check_key(const EC_KEY *key);
852 /** Sets a public key from affine coordindates performing
853 * necessary NIST PKV tests.
854 * \param key the EC_KEY object
855 * \param x public key x coordinate
856 * \param y public key y coordinate
857 * \return 1 on success and 0 otherwise.
859 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
862 /********************************************************************/
863 /* de- and encoding functions for SEC1 ECPrivateKey */
864 /********************************************************************/
866 /** Decodes a private key from a memory buffer.
867 * \param key a pointer to a EC_KEY object which should be used (or NULL)
868 * \param in pointer to memory with the DER encoded private key
869 * \param len length of the DER encoded private key
870 * \return the decoded private key or NULL if an error occurred.
872 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
874 /** Encodes a private key object and stores the result in a buffer.
875 * \param key the EC_KEY object to encode
876 * \param out the buffer for the result (if NULL the function returns number
878 * \return 1 on success and 0 if an error occurred.
880 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
883 /********************************************************************/
884 /* de- and encoding functions for EC parameters */
885 /********************************************************************/
887 /** Decodes ec parameter from a memory buffer.
888 * \param key a pointer to a EC_KEY object which should be used (or NULL)
889 * \param in pointer to memory with the DER encoded ec parameters
890 * \param len length of the DER encoded ec parameters
891 * \return a EC_KEY object with the decoded parameters or NULL if an error
894 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
896 /** Encodes ec parameter and stores the result in a buffer.
897 * \param key the EC_KEY object with ec parameters to encode
898 * \param out the buffer for the result (if NULL the function returns number
900 * \return 1 on success and 0 if an error occurred.
902 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
905 /********************************************************************/
906 /* de- and encoding functions for EC public key */
907 /* (octet string, not DER -- hence 'o2i' and 'i2o') */
908 /********************************************************************/
910 /** Decodes a ec public key from a octet string.
911 * \param key a pointer to a EC_KEY object which should be used
912 * \param in memory buffer with the encoded public key
913 * \param len length of the encoded public key
914 * \return EC_KEY object with decoded public key or NULL if an error
917 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
919 /** Encodes a ec public key in an octet string.
920 * \param key the EC_KEY object with the public key
921 * \param out the buffer for the result (if NULL the function returns number
923 * \return 1 on success and 0 if an error occurred
925 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
927 #ifndef OPENSSL_NO_BIO
928 /** Prints out the ec parameters on human readable form.
929 * \param bp BIO object to which the information is printed
930 * \param key EC_KEY object
931 * \return 1 on success and 0 if an error occurred
933 int ECParameters_print(BIO *bp, const EC_KEY *key);
935 /** Prints out the contents of a EC_KEY object
936 * \param bp BIO object to which the information is printed
937 * \param key EC_KEY object
938 * \param off line offset
939 * \return 1 on success and 0 if an error occurred
941 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
944 #ifndef OPENSSL_NO_FP_API
945 /** Prints out the ec parameters on human readable form.
946 * \param fp file descriptor to which the information is printed
947 * \param key EC_KEY object
948 * \return 1 on success and 0 if an error occurred
950 int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
952 /** Prints out the contents of a EC_KEY object
953 * \param fp file descriptor to which the information is printed
954 * \param key EC_KEY object
955 * \param off line offset
956 * \return 1 on success and 0 if an error occurred
958 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
962 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
965 #if defined(__SUNPRO_C)
966 # if __SUNPRO_C >= 0x520
967 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
972 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
973 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
974 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
975 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
977 #define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
978 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
979 EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
980 EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
982 #define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
983 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
984 EVP_PKEY_OP_DERIVE, \
985 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
987 #define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
988 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
989 EVP_PKEY_OP_DERIVE, \
990 EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
992 #define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
993 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
994 EVP_PKEY_OP_DERIVE, \
995 EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
997 #define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
998 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
999 EVP_PKEY_OP_DERIVE, \
1000 EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
1002 #define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
1003 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1004 EVP_PKEY_OP_DERIVE, \
1005 EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
1007 #define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
1008 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1009 EVP_PKEY_OP_DERIVE, \
1010 EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
1012 #define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
1013 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1014 EVP_PKEY_OP_DERIVE, \
1015 EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
1017 #define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
1018 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1019 EVP_PKEY_OP_DERIVE, \
1020 EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
1022 #define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
1023 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1024 EVP_PKEY_OP_DERIVE, \
1025 EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
1027 #define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
1028 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
1029 EVP_PKEY_OP_DERIVE, \
1030 EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
1032 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
1033 #define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
1034 #define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
1035 #define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
1036 #define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
1037 #define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
1038 #define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
1039 #define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
1040 #define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
1041 #define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
1043 #define EVP_PKEY_ECDH_KDF_NONE 1
1044 #define EVP_PKEY_ECDH_KDF_X9_62 2
1046 /* BEGIN ERROR CODES */
1047 /* The following lines are auto generated by the script mkerr.pl. Any changes
1048 * made after this point may be overwritten when the script is next run.
1050 void ERR_load_EC_strings(void);
1052 /* Error codes for the EC functions. */
1054 /* Function codes. */
1055 #define EC_F_BN_TO_FELEM 224
1056 #define EC_F_COMPUTE_WNAF 143
1057 #define EC_F_D2I_ECPARAMETERS 144
1058 #define EC_F_D2I_ECPKPARAMETERS 145
1059 #define EC_F_D2I_ECPRIVATEKEY 146
1060 #define EC_F_DO_EC_KEY_PRINT 221
1061 #define EC_F_ECDH_CMS_DECRYPT 238
1062 #define EC_F_ECDH_CMS_SET_SHARED_INFO 239
1063 #define EC_F_ECKEY_PARAM2TYPE 223
1064 #define EC_F_ECKEY_PARAM_DECODE 212
1065 #define EC_F_ECKEY_PRIV_DECODE 213
1066 #define EC_F_ECKEY_PRIV_ENCODE 214
1067 #define EC_F_ECKEY_PUB_DECODE 215
1068 #define EC_F_ECKEY_PUB_ENCODE 216
1069 #define EC_F_ECKEY_TYPE2PARAM 220
1070 #define EC_F_ECPARAMETERS_PRINT 147
1071 #define EC_F_ECPARAMETERS_PRINT_FP 148
1072 #define EC_F_ECPKPARAMETERS_PRINT 149
1073 #define EC_F_ECPKPARAMETERS_PRINT_FP 150
1074 #define EC_F_ECP_NIST_MOD_192 203
1075 #define EC_F_ECP_NIST_MOD_224 204
1076 #define EC_F_ECP_NIST_MOD_256 205
1077 #define EC_F_ECP_NIST_MOD_521 206
1078 #define EC_F_EC_ASN1_GROUP2CURVE 153
1079 #define EC_F_EC_ASN1_GROUP2FIELDID 154
1080 #define EC_F_EC_ASN1_GROUP2PARAMETERS 155
1081 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156
1082 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157
1083 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158
1084 #define EC_F_EC_EX_DATA_SET_DATA 211
1085 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208
1086 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159
1087 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195
1088 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160
1089 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161
1090 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1091 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1092 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164
1093 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133
1094 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134
1095 #define EC_F_EC_GFP_MONT_FIELD_MUL 131
1096 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209
1097 #define EC_F_EC_GFP_MONT_FIELD_SQR 132
1098 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189
1099 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135
1100 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225
1101 #define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
1102 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1103 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
1104 #define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
1105 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1106 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
1107 #define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
1108 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1109 #define EC_F_EC_GFP_NIST_FIELD_MUL 200
1110 #define EC_F_EC_GFP_NIST_FIELD_SQR 201
1111 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
1112 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
1113 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
1114 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
1115 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
1116 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
1117 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
1118 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
1119 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
1120 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
1121 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1122 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
1123 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1124 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
1125 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1126 #define EC_F_EC_GROUP_CHECK 170
1127 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
1128 #define EC_F_EC_GROUP_COPY 106
1129 #define EC_F_EC_GROUP_GET0_GENERATOR 139
1130 #define EC_F_EC_GROUP_GET_COFACTOR 140
1131 #define EC_F_EC_GROUP_GET_CURVE_GF2M 172
1132 #define EC_F_EC_GROUP_GET_CURVE_GFP 130
1133 #define EC_F_EC_GROUP_GET_DEGREE 173
1134 #define EC_F_EC_GROUP_GET_ORDER 141
1135 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
1136 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
1137 #define EC_F_EC_GROUP_NEW 108
1138 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
1139 #define EC_F_EC_GROUP_NEW_FROM_DATA 175
1140 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
1141 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176
1142 #define EC_F_EC_GROUP_SET_CURVE_GFP 109
1143 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110
1144 #define EC_F_EC_GROUP_SET_GENERATOR 111
1145 #define EC_F_EC_KEY_CHECK_KEY 177
1146 #define EC_F_EC_KEY_COPY 178
1147 #define EC_F_EC_KEY_GENERATE_KEY 179
1148 #define EC_F_EC_KEY_NEW 182
1149 #define EC_F_EC_KEY_PRINT 180
1150 #define EC_F_EC_KEY_PRINT_FP 181
1151 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
1152 #define EC_F_EC_POINTS_MAKE_AFFINE 136
1153 #define EC_F_EC_POINT_ADD 112
1154 #define EC_F_EC_POINT_CMP 113
1155 #define EC_F_EC_POINT_COPY 114
1156 #define EC_F_EC_POINT_DBL 115
1157 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
1158 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
1159 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
1160 #define EC_F_EC_POINT_INVERT 210
1161 #define EC_F_EC_POINT_IS_AT_INFINITY 118
1162 #define EC_F_EC_POINT_IS_ON_CURVE 119
1163 #define EC_F_EC_POINT_MAKE_AFFINE 120
1164 #define EC_F_EC_POINT_MUL 184
1165 #define EC_F_EC_POINT_NEW 121
1166 #define EC_F_EC_POINT_OCT2POINT 122
1167 #define EC_F_EC_POINT_POINT2OCT 123
1168 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
1169 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
1170 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
1171 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
1172 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
1173 #define EC_F_EC_POINT_SET_TO_INFINITY 127
1174 #define EC_F_EC_PRE_COMP_DUP 207
1175 #define EC_F_EC_PRE_COMP_NEW 196
1176 #define EC_F_EC_WNAF_MUL 187
1177 #define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
1178 #define EC_F_I2D_ECPARAMETERS 190
1179 #define EC_F_I2D_ECPKPARAMETERS 191
1180 #define EC_F_I2D_ECPRIVATEKEY 192
1181 #define EC_F_I2O_ECPUBLICKEY 151
1182 #define EC_F_NISTP224_PRE_COMP_NEW 227
1183 #define EC_F_NISTP256_PRE_COMP_NEW 236
1184 #define EC_F_NISTP521_PRE_COMP_NEW 237
1185 #define EC_F_NISTZ256_GET_AFFINE_COORDINATES 240
1186 #define EC_F_NISTZ256_POINTS_MUL 241
1187 #define EC_F_NISTZ256_POINTS_MUL_W 242
1188 #define EC_F_NISTZ256_PRECOMPUTE_MULT 243
1189 #define EC_F_NISTZ256_PRE_COMP_NEW 244
1190 #define EC_F_O2I_ECPUBLICKEY 152
1191 #define EC_F_OLD_EC_PRIV_DECODE 222
1192 #define EC_F_PKEY_EC_CTRL 197
1193 #define EC_F_PKEY_EC_CTRL_STR 198
1194 #define EC_F_PKEY_EC_DERIVE 217
1195 #define EC_F_PKEY_EC_KEYGEN 199
1196 #define EC_F_PKEY_EC_PARAMGEN 219
1197 #define EC_F_PKEY_EC_SIGN 218
1200 #define EC_R_ASN1_ERROR 115
1201 #define EC_R_ASN1_UNKNOWN_FIELD 116
1202 #define EC_R_BIGNUM_OUT_OF_RANGE 144
1203 #define EC_R_BUFFER_TOO_SMALL 100
1204 #define EC_R_COORDINATES_OUT_OF_RANGE 146
1205 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
1206 #define EC_R_DECODE_ERROR 142
1207 #define EC_R_DISCRIMINANT_IS_ZERO 118
1208 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
1209 #define EC_R_FIELD_TOO_LARGE 143
1210 #define EC_R_GF2M_NOT_SUPPORTED 147
1211 #define EC_R_GROUP2PKPARAMETERS_FAILURE 120
1212 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
1213 #define EC_R_INCOMPATIBLE_OBJECTS 101
1214 #define EC_R_INVALID_ARGUMENT 112
1215 #define EC_R_INVALID_COMPRESSED_POINT 110
1216 #define EC_R_INVALID_COMPRESSION_BIT 109
1217 #define EC_R_INVALID_CURVE 141
1218 #define EC_R_INVALID_DIGEST 151
1219 #define EC_R_INVALID_DIGEST_TYPE 138
1220 #define EC_R_INVALID_ENCODING 102
1221 #define EC_R_INVALID_FIELD 103
1222 #define EC_R_INVALID_FORM 104
1223 #define EC_R_INVALID_GROUP_ORDER 122
1224 #define EC_R_INVALID_PENTANOMIAL_BASIS 132
1225 #define EC_R_INVALID_PRIVATE_KEY 123
1226 #define EC_R_INVALID_TRINOMIAL_BASIS 137
1227 #define EC_R_KDF_PARAMETER_ERROR 148
1228 #define EC_R_KEYS_NOT_SET 140
1229 #define EC_R_MISSING_PARAMETERS 124
1230 #define EC_R_MISSING_PRIVATE_KEY 125
1231 #define EC_R_NOT_A_NIST_PRIME 135
1232 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136
1233 #define EC_R_NOT_IMPLEMENTED 126
1234 #define EC_R_NOT_INITIALIZED 111
1235 #define EC_R_NO_FIELD_MOD 133
1236 #define EC_R_NO_PARAMETERS_SET 139
1237 #define EC_R_PASSED_NULL_PARAMETER 134
1238 #define EC_R_PEER_KEY_ERROR 149
1239 #define EC_R_PKPARAMETERS2GROUP_FAILURE 127
1240 #define EC_R_POINT_AT_INFINITY 106
1241 #define EC_R_POINT_IS_NOT_ON_CURVE 107
1242 #define EC_R_SHARED_INFO_ERROR 150
1243 #define EC_R_SLOT_FULL 108
1244 #define EC_R_UNDEFINED_GENERATOR 113
1245 #define EC_R_UNDEFINED_ORDER 128
1246 #define EC_R_UNKNOWN_GROUP 129
1247 #define EC_R_UNKNOWN_ORDER 114
1248 #define EC_R_UNSUPPORTED_FIELD 131
1249 #define EC_R_WRONG_CURVE_PARAMETERS 145
1250 #define EC_R_WRONG_ORDER 130