1/* crypto/ec/ec.h */ 2/* 3 * Originally written by Bodo Moeller for the OpenSSL project. 4 */ 5/** 6 * \file crypto/ec/ec.h Include file for the OpenSSL EC functions 7 * \author Originally written by Bodo Moeller for the OpenSSL project 8 */ 9/* ==================================================================== 10 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved. 11 * 12 * Redistribution and use in source and binary forms, with or without 13 * modification, are permitted provided that the following conditions 14 * are met: 15 * 16 * 1. Redistributions of source code must retain the above copyright 17 * notice, this list of conditions and the following disclaimer. 18 * 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 22 * distribution. 23 * 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/)" 28 * 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. 33 * 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. 37 * 38 * 6. Redistributions of any form whatsoever must retain the following 39 * acknowledgment: 40 * "This product includes software developed by the OpenSSL Project 41 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 42 * 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 * ==================================================================== 56 * 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). 60 * 61 */ 62/* ==================================================================== 63 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 64 * 65 * Portions of the attached software ("Contribution") are developed by 66 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 67 * 68 * The Contribution is licensed pursuant to the OpenSSL open source 69 * license provided above. 70 * 71 * The elliptic curve binary polynomial software is originally written by 72 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 73 * 74 */ 75 76#ifndef HEADER_EC_H 77#define HEADER_EC_H 78 79#include <openssl/opensslconf.h> 80 81#ifdef OPENSSL_NO_EC 82#error EC is disabled. 83#endif 84 85#include <openssl/asn1.h> 86#include <openssl/symhacks.h> 87#ifndef OPENSSL_NO_DEPRECATED 88#include <openssl/bn.h> 89#endif 90 91#ifdef __cplusplus 92extern "C" { 93#elif defined(__SUNPRO_C) 94# if __SUNPRO_C >= 0x520 95# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 96# endif 97#endif 98 99 100#ifndef OPENSSL_ECC_MAX_FIELD_BITS 101# define OPENSSL_ECC_MAX_FIELD_BITS 661 102#endif 103 104/** Enum for the point conversion form as defined in X9.62 (ECDSA) 105 * for the encoding of a elliptic curve point (x,y) */ 106typedef enum { 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; 116 117 118typedef struct ec_method_st EC_METHOD; 119 120typedef struct ec_group_st 121 /* 122 EC_METHOD *meth; 123 -- field definition 124 -- curve coefficients 125 -- optional generator with associated information (order, cofactor) 126 -- optional extra data (precomputed table for fast computation of multiples of generator) 127 -- ASN1 stuff 128 */ 129 EC_GROUP; 130 131typedef struct ec_point_st EC_POINT; 132 133 134/********************************************************************/ 135/* EC_METHODs for curves over GF(p) */ 136/********************************************************************/ 137 138/** Returns the basic GFp ec methods which provides the basis for the 139 * optimized methods. 140 * \return EC_METHOD object 141 */ 142const EC_METHOD *EC_GFp_simple_method(void); 143 144/** Returns GFp methods using montgomery multiplication. 145 * \return EC_METHOD object 146 */ 147const EC_METHOD *EC_GFp_mont_method(void); 148 149/** Returns GFp methods using optimized methods for NIST recommended curves 150 * \return EC_METHOD object 151 */ 152const EC_METHOD *EC_GFp_nist_method(void); 153 154#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 155/** Returns 64-bit optimized methods for nistp224 156 * \return EC_METHOD object 157 */ 158const EC_METHOD *EC_GFp_nistp224_method(void); 159 160/** Returns 64-bit optimized methods for nistp256 161 * \return EC_METHOD object 162 */ 163const EC_METHOD *EC_GFp_nistp256_method(void); 164 165/** Returns 64-bit optimized methods for nistp521 166 * \return EC_METHOD object 167 */ 168const EC_METHOD *EC_GFp_nistp521_method(void); 169#endif 170 171#ifndef OPENSSL_NO_EC2M 172/********************************************************************/ 173/* EC_METHOD for curves over GF(2^m) */ 174/********************************************************************/ 175 176/** Returns the basic GF2m ec method 177 * \return EC_METHOD object 178 */ 179const EC_METHOD *EC_GF2m_simple_method(void); 180 181#endif 182 183 184/********************************************************************/ 185/* EC_GROUP functions */ 186/********************************************************************/ 187 188/** 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. 191 */ 192EC_GROUP *EC_GROUP_new(const EC_METHOD *meth); 193 194/** Frees a EC_GROUP object 195 * \param group EC_GROUP object to be freed. 196 */ 197void EC_GROUP_free(EC_GROUP *group); 198 199/** Clears and frees a EC_GROUP object 200 * \param group EC_GROUP object to be cleared and freed. 201 */ 202void EC_GROUP_clear_free(EC_GROUP *group); 203 204/** 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. 208 */ 209int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src); 210 211/** 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. 215 */ 216EC_GROUP *EC_GROUP_dup(const EC_GROUP *src); 217 218/** 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. 221 */ 222const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); 223 224/** Returns the field type of the EC_METHOD. 225 * \param meth EC_METHOD object 226 * \return NID of the underlying field type OID. 227 */ 228int EC_METHOD_get_field_type(const EC_METHOD *meth); 229 230/** 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 237 */ 238int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); 239 240/** Returns the generator of a EC_GROUP object. 241 * \param group EC_GROUP object 242 * \return the currently used generator (possibly NULL). 243 */ 244const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); 245 246/** Gets the order of a EC_GROUP 247 * \param group EC_GROUP object 248 * \param order BIGNUM to which the order is copied 249 * \param ctx BN_CTX object (optional) 250 * \return 1 on success and 0 if an error occured 251 */ 252int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx); 253 254/** Gets the cofactor of a EC_GROUP 255 * \param group EC_GROUP object 256 * \param cofactor BIGNUM to which the cofactor is copied 257 * \param ctx BN_CTX object (optional) 258 * \return 1 on success and 0 if an error occured 259 */ 260int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx); 261 262/** Sets the name of a EC_GROUP object 263 * \param group EC_GROUP object 264 * \param nid NID of the curve name OID 265 */ 266void EC_GROUP_set_curve_name(EC_GROUP *group, int nid); 267 268/** Returns the curve name of a EC_GROUP object 269 * \param group EC_GROUP object 270 * \return NID of the curve name OID or 0 if not set. 271 */ 272int EC_GROUP_get_curve_name(const EC_GROUP *group); 273 274void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); 275int EC_GROUP_get_asn1_flag(const EC_GROUP *group); 276 277void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form); 278point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); 279 280unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x); 281size_t EC_GROUP_get_seed_len(const EC_GROUP *); 282size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); 283 284/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b 285 * \param group EC_GROUP object 286 * \param p BIGNUM with the prime number 287 * \param a BIGNUM with parameter a of the equation 288 * \param b BIGNUM with parameter b of the equation 289 * \param ctx BN_CTX object (optional) 290 * \return 1 on success and 0 if an error occured 291 */ 292int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 293 294/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b 295 * \param group EC_GROUP object 296 * \param p BIGNUM for the prime number 297 * \param a BIGNUM for parameter a of the equation 298 * \param b BIGNUM for parameter b of the equation 299 * \param ctx BN_CTX object (optional) 300 * \return 1 on success and 0 if an error occured 301 */ 302int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); 303 304#ifndef OPENSSL_NO_EC2M 305/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 306 * \param group EC_GROUP object 307 * \param p BIGNUM with the polynomial defining the underlying field 308 * \param a BIGNUM with parameter a of the equation 309 * \param b BIGNUM with parameter b of the equation 310 * \param ctx BN_CTX object (optional) 311 * \return 1 on success and 0 if an error occured 312 */ 313int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 314 315/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 316 * \param group EC_GROUP object 317 * \param p BIGNUM for the polynomial defining the underlying field 318 * \param a BIGNUM for parameter a of the equation 319 * \param b BIGNUM for parameter b of the equation 320 * \param ctx BN_CTX object (optional) 321 * \return 1 on success and 0 if an error occured 322 */ 323int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); 324#endif 325/** Returns the number of bits needed to represent a field element 326 * \param group EC_GROUP object 327 * \return number of bits needed to represent a field element 328 */ 329int EC_GROUP_get_degree(const EC_GROUP *group); 330 331/** Checks whether the parameter in the EC_GROUP define a valid ec group 332 * \param group EC_GROUP object 333 * \param ctx BN_CTX object (optional) 334 * \return 1 if group is a valid ec group and 0 otherwise 335 */ 336int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); 337 338/** Checks whether the discriminant of the elliptic curve is zero or not 339 * \param group EC_GROUP object 340 * \param ctx BN_CTX object (optional) 341 * \return 1 if the discriminant is not zero and 0 otherwise 342 */ 343int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx); 344 345/** Compares two EC_GROUP objects 346 * \param a first EC_GROUP object 347 * \param b second EC_GROUP object 348 * \param ctx BN_CTX object (optional) 349 * \return 0 if both groups are equal and 1 otherwise 350 */ 351int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx); 352 353/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() 354 * after choosing an appropriate EC_METHOD */ 355 356/** Creates a new EC_GROUP object with the specified parameters defined 357 * over GFp (defined by the equation y^2 = x^3 + a*x + b) 358 * \param p BIGNUM with the prime number 359 * \param a BIGNUM with the parameter a of the equation 360 * \param b BIGNUM with the parameter b of the equation 361 * \param ctx BN_CTX object (optional) 362 * \return newly created EC_GROUP object with the specified parameters 363 */ 364EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 365#ifndef OPENSSL_NO_EC2M 366/** Creates a new EC_GROUP object with the specified parameters defined 367 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b) 368 * \param p BIGNUM with the polynomial defining the underlying field 369 * \param a BIGNUM with the parameter a of the equation 370 * \param b BIGNUM with the parameter b of the equation 371 * \param ctx BN_CTX object (optional) 372 * \return newly created EC_GROUP object with the specified parameters 373 */ 374EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 375#endif 376/** Creates a EC_GROUP object with a curve specified by a NID 377 * \param nid NID of the OID of the curve name 378 * \return newly created EC_GROUP object with specified curve or NULL 379 * if an error occurred 380 */ 381EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 382 383 384/********************************************************************/ 385/* handling of internal curves */ 386/********************************************************************/ 387 388typedef struct { 389 int nid; 390 const char *comment; 391 } EC_builtin_curve; 392 393/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number 394 * of all available curves or zero if a error occurred. 395 * In case r ist not zero nitems EC_builtin_curve structures 396 * are filled with the data of the first nitems internal groups */ 397size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); 398 399 400/********************************************************************/ 401/* EC_POINT functions */ 402/********************************************************************/ 403 404/** Creates a new EC_POINT object for the specified EC_GROUP 405 * \param group EC_GROUP the underlying EC_GROUP object 406 * \return newly created EC_POINT object or NULL if an error occurred 407 */ 408EC_POINT *EC_POINT_new(const EC_GROUP *group); 409 410/** Frees a EC_POINT object 411 * \param point EC_POINT object to be freed 412 */ 413void EC_POINT_free(EC_POINT *point); 414 415/** Clears and frees a EC_POINT object 416 * \param point EC_POINT object to be cleared and freed 417 */ 418void EC_POINT_clear_free(EC_POINT *point); 419 420/** Copies EC_POINT object 421 * \param dst destination EC_POINT object 422 * \param src source EC_POINT object 423 * \return 1 on success and 0 if an error occured 424 */ 425int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src); 426 427/** Creates a new EC_POINT object and copies the content of the supplied 428 * EC_POINT 429 * \param src source EC_POINT object 430 * \param group underlying the EC_GROUP object 431 * \return newly created EC_POINT object or NULL if an error occurred 432 */ 433EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group); 434 435/** Returns the EC_METHOD used in EC_POINT object 436 * \param point EC_POINT object 437 * \return the EC_METHOD used 438 */ 439const EC_METHOD *EC_POINT_method_of(const EC_POINT *point); 440 441/** Sets a point to infinity (neutral element) 442 * \param group underlying EC_GROUP object 443 * \param point EC_POINT to set to infinity 444 * \return 1 on success and 0 if an error occured 445 */ 446int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point); 447 448/** Sets the jacobian projective coordinates of a EC_POINT over GFp 449 * \param group underlying EC_GROUP object 450 * \param p EC_POINT object 451 * \param x BIGNUM with the x-coordinate 452 * \param y BIGNUM with the y-coordinate 453 * \param z BIGNUM with the z-coordinate 454 * \param ctx BN_CTX object (optional) 455 * \return 1 on success and 0 if an error occured 456 */ 457int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 458 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx); 459 460/** Gets the jacobian projective coordinates of a EC_POINT over GFp 461 * \param group underlying EC_GROUP object 462 * \param p EC_POINT object 463 * \param x BIGNUM for the x-coordinate 464 * \param y BIGNUM for the y-coordinate 465 * \param z BIGNUM for the z-coordinate 466 * \param ctx BN_CTX object (optional) 467 * \return 1 on success and 0 if an error occured 468 */ 469int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, 470 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx); 471 472/** Sets the affine coordinates of a EC_POINT over GFp 473 * \param group underlying EC_GROUP object 474 * \param p EC_POINT object 475 * \param x BIGNUM with the x-coordinate 476 * \param y BIGNUM with the y-coordinate 477 * \param ctx BN_CTX object (optional) 478 * \return 1 on success and 0 if an error occured 479 */ 480int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 481 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); 482 483/** Gets the affine coordinates of a EC_POINT over GFp 484 * \param group underlying EC_GROUP object 485 * \param p EC_POINT object 486 * \param x BIGNUM for the x-coordinate 487 * \param y BIGNUM for the y-coordinate 488 * \param ctx BN_CTX object (optional) 489 * \return 1 on success and 0 if an error occured 490 */ 491int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, 492 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 493 494/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp 495 * \param group underlying EC_GROUP object 496 * \param p EC_POINT object 497 * \param x BIGNUM with x-coordinate 498 * \param y_bit integer with the y-Bit (either 0 or 1) 499 * \param ctx BN_CTX object (optional) 500 * \return 1 on success and 0 if an error occured 501 */ 502int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 503 const BIGNUM *x, int y_bit, BN_CTX *ctx); 504#ifndef OPENSSL_NO_EC2M 505/** Sets the affine coordinates of a EC_POINT over GF2m 506 * \param group underlying EC_GROUP object 507 * \param p EC_POINT object 508 * \param x BIGNUM with the x-coordinate 509 * \param y BIGNUM with the y-coordinate 510 * \param ctx BN_CTX object (optional) 511 * \return 1 on success and 0 if an error occured 512 */ 513int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, 514 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); 515 516/** Gets the affine coordinates of a EC_POINT over GF2m 517 * \param group underlying EC_GROUP object 518 * \param p EC_POINT object 519 * \param x BIGNUM for the x-coordinate 520 * \param y BIGNUM for the y-coordinate 521 * \param ctx BN_CTX object (optional) 522 * \return 1 on success and 0 if an error occured 523 */ 524int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, 525 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 526 527/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m 528 * \param group underlying EC_GROUP object 529 * \param p EC_POINT object 530 * \param x BIGNUM with x-coordinate 531 * \param y_bit integer with the y-Bit (either 0 or 1) 532 * \param ctx BN_CTX object (optional) 533 * \return 1 on success and 0 if an error occured 534 */ 535int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, 536 const BIGNUM *x, int y_bit, BN_CTX *ctx); 537#endif 538/** Encodes a EC_POINT object to a octet string 539 * \param group underlying EC_GROUP object 540 * \param p EC_POINT object 541 * \param form point conversion form 542 * \param buf memory buffer for the result. If NULL the function returns 543 * required buffer size. 544 * \param len length of the memory buffer 545 * \param ctx BN_CTX object (optional) 546 * \return the length of the encoded octet string or 0 if an error occurred 547 */ 548size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p, 549 point_conversion_form_t form, 550 unsigned char *buf, size_t len, BN_CTX *ctx); 551 552/** Decodes a EC_POINT from a octet string 553 * \param group underlying EC_GROUP object 554 * \param p EC_POINT object 555 * \param buf memory buffer with the encoded ec point 556 * \param len length of the encoded ec point 557 * \param ctx BN_CTX object (optional) 558 * \return 1 on success and 0 if an error occured 559 */ 560int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p, 561 const unsigned char *buf, size_t len, BN_CTX *ctx); 562 563/* other interfaces to point2oct/oct2point: */ 564BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, 565 point_conversion_form_t form, BIGNUM *, BN_CTX *); 566EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, 567 EC_POINT *, BN_CTX *); 568char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, 569 point_conversion_form_t form, BN_CTX *); 570EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, 571 EC_POINT *, BN_CTX *); 572 573 574/********************************************************************/ 575/* functions for doing EC_POINT arithmetic */ 576/********************************************************************/ 577 578/** Computes the sum of two EC_POINT 579 * \param group underlying EC_GROUP object 580 * \param r EC_POINT object for the result (r = a + b) 581 * \param a EC_POINT object with the first summand 582 * \param b EC_POINT object with the second summand 583 * \param ctx BN_CTX object (optional) 584 * \return 1 on success and 0 if an error occured 585 */ 586int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); 587 588/** Computes the double of a EC_POINT 589 * \param group underlying EC_GROUP object 590 * \param r EC_POINT object for the result (r = 2 * a) 591 * \param a EC_POINT object 592 * \param ctx BN_CTX object (optional) 593 * \return 1 on success and 0 if an error occured 594 */ 595int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx); 596 597/** Computes the inverse of a EC_POINT 598 * \param group underlying EC_GROUP object 599 * \param a EC_POINT object to be inverted (it's used for the result as well) 600 * \param ctx BN_CTX object (optional) 601 * \return 1 on success and 0 if an error occured 602 */ 603int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx); 604 605/** Checks whether the point is the neutral element of the group 606 * \param group the underlying EC_GROUP object 607 * \param p EC_POINT object 608 * \return 1 if the point is the neutral element and 0 otherwise 609 */ 610int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p); 611 612/** Checks whether the point is on the curve 613 * \param group underlying EC_GROUP object 614 * \param point EC_POINT object to check 615 * \param ctx BN_CTX object (optional) 616 * \return 1 if point if on the curve and 0 otherwise 617 */ 618int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx); 619 620/** Compares two EC_POINTs 621 * \param group underlying EC_GROUP object 622 * \param a first EC_POINT object 623 * \param b second EC_POINT object 624 * \param ctx BN_CTX object (optional) 625 * \return 0 if both points are equal and a value != 0 otherwise 626 */ 627int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); 628 629int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx); 630int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx); 631 632/** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i] 633 * \param group underlying EC_GROUP object 634 * \param r EC_POINT object for the result 635 * \param n BIGNUM with the multiplier for the group generator (optional) 636 * \param num number futher summands 637 * \param p array of size num of EC_POINT objects 638 * \param m array of size num of BIGNUM objects 639 * \param ctx BN_CTX object (optional) 640 * \return 1 on success and 0 if an error occured 641 */ 642int 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); 643 644/** Computes r = generator * n + q * m 645 * \param group underlying EC_GROUP object 646 * \param r EC_POINT object for the result 647 * \param n BIGNUM with the multiplier for the group generator (optional) 648 * \param q EC_POINT object with the first factor of the second summand 649 * \param m BIGNUM with the second factor of the second summand 650 * \param ctx BN_CTX object (optional) 651 * \return 1 on success and 0 if an error occured 652 */ 653int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx); 654 655/** Stores multiples of generator for faster point multiplication 656 * \param group EC_GROUP object 657 * \param ctx BN_CTX object (optional) 658 * \return 1 on success and 0 if an error occured 659 */ 660int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 661 662/** Reports whether a precomputation has been done 663 * \param group EC_GROUP object 664 * \return 1 if a pre-computation has been done and 0 otherwise 665 */ 666int EC_GROUP_have_precompute_mult(const EC_GROUP *group); 667 668 669/********************************************************************/ 670/* ASN1 stuff */ 671/********************************************************************/ 672 673/* EC_GROUP_get_basis_type() returns the NID of the basis type 674 * used to represent the field elements */ 675int EC_GROUP_get_basis_type(const EC_GROUP *); 676#ifndef OPENSSL_NO_EC2M 677int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); 678int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, 679 unsigned int *k2, unsigned int *k3); 680#endif 681 682#define OPENSSL_EC_NAMED_CURVE 0x001 683 684typedef struct ecpk_parameters_st ECPKPARAMETERS; 685 686EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); 687int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); 688 689#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) 690#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) 691#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ 692 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) 693#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ 694 (unsigned char *)(x)) 695 696#ifndef OPENSSL_NO_BIO 697int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); 698#endif 699#ifndef OPENSSL_NO_FP_API 700int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); 701#endif 702 703 704/********************************************************************/ 705/* EC_KEY functions */ 706/********************************************************************/ 707 708typedef struct ec_key_st EC_KEY; 709 710/* some values for the encoding_flag */ 711#define EC_PKEY_NO_PARAMETERS 0x001 712#define EC_PKEY_NO_PUBKEY 0x002 713 714/* some values for the flags field */ 715#define EC_FLAG_NON_FIPS_ALLOW 0x1 716#define EC_FLAG_FIPS_CHECKED 0x2 717 718/** Creates a new EC_KEY object. 719 * \return EC_KEY object or NULL if an error occurred. 720 */ 721EC_KEY *EC_KEY_new(void); 722 723int EC_KEY_get_flags(const EC_KEY *key); 724 725void EC_KEY_set_flags(EC_KEY *key, int flags); 726 727void EC_KEY_clear_flags(EC_KEY *key, int flags); 728 729/** Creates a new EC_KEY object using a named curve as underlying 730 * EC_GROUP object. 731 * \param nid NID of the named curve. 732 * \return EC_KEY object or NULL if an error occurred. 733 */ 734EC_KEY *EC_KEY_new_by_curve_name(int nid); 735 736/** Frees a EC_KEY object. 737 * \param key EC_KEY object to be freed. 738 */ 739void EC_KEY_free(EC_KEY *key); 740 741/** Copies a EC_KEY object. 742 * \param dst destination EC_KEY object 743 * \param src src EC_KEY object 744 * \return dst or NULL if an error occurred. 745 */ 746EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src); 747 748/** Creates a new EC_KEY object and copies the content from src to it. 749 * \param src the source EC_KEY object 750 * \return newly created EC_KEY object or NULL if an error occurred. 751 */ 752EC_KEY *EC_KEY_dup(const EC_KEY *src); 753 754/** Increases the internal reference count of a EC_KEY object. 755 * \param key EC_KEY object 756 * \return 1 on success and 0 if an error occurred. 757 */ 758int EC_KEY_up_ref(EC_KEY *key); 759 760/** Returns the EC_GROUP object of a EC_KEY object 761 * \param key EC_KEY object 762 * \return the EC_GROUP object (possibly NULL). 763 */ 764const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key); 765 766/** Sets the EC_GROUP of a EC_KEY object. 767 * \param key EC_KEY object 768 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY 769 * object will use an own copy of the EC_GROUP). 770 * \return 1 on success and 0 if an error occurred. 771 */ 772int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group); 773 774/** Returns the private key of a EC_KEY object. 775 * \param key EC_KEY object 776 * \return a BIGNUM with the private key (possibly NULL). 777 */ 778const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key); 779 780/** Sets the private key of a EC_KEY object. 781 * \param key EC_KEY object 782 * \param prv BIGNUM with the private key (note: the EC_KEY object 783 * will use an own copy of the BIGNUM). 784 * \return 1 on success and 0 if an error occurred. 785 */ 786int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv); 787 788/** Returns the public key of a EC_KEY object. 789 * \param key the EC_KEY object 790 * \return a EC_POINT object with the public key (possibly NULL) 791 */ 792const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key); 793 794/** Sets the public key of a EC_KEY object. 795 * \param key EC_KEY object 796 * \param pub EC_POINT object with the public key (note: the EC_KEY object 797 * will use an own copy of the EC_POINT object). 798 * \return 1 on success and 0 if an error occurred. 799 */ 800int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub); 801 802unsigned EC_KEY_get_enc_flags(const EC_KEY *key); 803void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags); 804point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key); 805void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform); 806/* functions to set/get method specific data */ 807void *EC_KEY_get_key_method_data(EC_KEY *key, 808 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 809/** Sets the key method data of an EC_KEY object, if none has yet been set. 810 * \param key EC_KEY object 811 * \param data opaque data to install. 812 * \param dup_func a function that duplicates |data|. 813 * \param free_func a function that frees |data|. 814 * \param clear_free_func a function that wipes and frees |data|. 815 * \return the previously set data pointer, or NULL if |data| was inserted. 816 */ 817void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data, 818 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 819/* wrapper functions for the underlying EC_GROUP object */ 820void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag); 821 822/** Sets whether ECDSA operations with the given key will calculate their k 823 * value from SHA512(private_key + message + random) in order to protect 824 * against a weak PRNG. 825 * \param on Whether to calculate k from a hash or not 826 */ 827void EC_KEY_set_nonce_from_hash(EC_KEY *key, int on); 828 829/** Returns the value of nonce_from_hash 830 */ 831int EC_KEY_get_nonce_from_hash(const EC_KEY *key); 832 833/** Creates a table of pre-computed multiples of the generator to 834 * accelerate further EC_KEY operations. 835 * \param key EC_KEY object 836 * \param ctx BN_CTX object (optional) 837 * \return 1 on success and 0 if an error occurred. 838 */ 839int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx); 840 841/** Creates a new ec private (and optional a new public) key. 842 * \param key EC_KEY object 843 * \return 1 on success and 0 if an error occurred. 844 */ 845int EC_KEY_generate_key(EC_KEY *key); 846 847/** Verifies that a private and/or public key is valid. 848 * \param key the EC_KEY object 849 * \return 1 on success and 0 otherwise. 850 */ 851int EC_KEY_check_key(const EC_KEY *key); 852 853/** Sets a public key from affine coordindates performing 854 * neccessary NIST PKV tests. 855 * \param key the EC_KEY object 856 * \param x public key x coordinate 857 * \param y public key y coordinate 858 * \return 1 on success and 0 otherwise. 859 */ 860int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y); 861 862 863/********************************************************************/ 864/* de- and encoding functions for SEC1 ECPrivateKey */ 865/********************************************************************/ 866 867/** Decodes a private key from a memory buffer. 868 * \param key a pointer to a EC_KEY object which should be used (or NULL) 869 * \param in pointer to memory with the DER encoded private key 870 * \param len length of the DER encoded private key 871 * \return the decoded private key or NULL if an error occurred. 872 */ 873EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len); 874 875/** Encodes a private key object and stores the result in a buffer. 876 * \param key the EC_KEY object to encode 877 * \param out the buffer for the result (if NULL the function returns number 878 * of bytes needed). 879 * \return 1 on success and 0 if an error occurred. 880 */ 881int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out); 882 883 884/********************************************************************/ 885/* de- and encoding functions for EC parameters */ 886/********************************************************************/ 887 888/** Decodes ec parameter from a memory buffer. 889 * \param key a pointer to a EC_KEY object which should be used (or NULL) 890 * \param in pointer to memory with the DER encoded ec parameters 891 * \param len length of the DER encoded ec parameters 892 * \return a EC_KEY object with the decoded parameters or NULL if an error 893 * occurred. 894 */ 895EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len); 896 897/** Encodes ec parameter and stores the result in a buffer. 898 * \param key the EC_KEY object with ec paramters to encode 899 * \param out the buffer for the result (if NULL the function returns number 900 * of bytes needed). 901 * \return 1 on success and 0 if an error occurred. 902 */ 903int i2d_ECParameters(EC_KEY *key, unsigned char **out); 904 905 906/********************************************************************/ 907/* de- and encoding functions for EC public key */ 908/* (octet string, not DER -- hence 'o2i' and 'i2o') */ 909/********************************************************************/ 910 911/** Decodes a ec public key from a octet string. 912 * \param key a pointer to a EC_KEY object which should be used 913 * \param in memory buffer with the encoded public key 914 * \param len length of the encoded public key 915 * \return EC_KEY object with decoded public key or NULL if an error 916 * occurred. 917 */ 918EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len); 919 920/** Encodes a ec public key in an octet string. 921 * \param key the EC_KEY object with the public key 922 * \param out the buffer for the result (if NULL the function returns number 923 * of bytes needed). 924 * \return 1 on success and 0 if an error occurred 925 */ 926int i2o_ECPublicKey(EC_KEY *key, unsigned char **out); 927 928#ifndef OPENSSL_NO_BIO 929/** Prints out the ec parameters on human readable form. 930 * \param bp BIO object to which the information is printed 931 * \param key EC_KEY object 932 * \return 1 on success and 0 if an error occurred 933 */ 934int ECParameters_print(BIO *bp, const EC_KEY *key); 935 936/** Prints out the contents of a EC_KEY object 937 * \param bp BIO object to which the information is printed 938 * \param key EC_KEY object 939 * \param off line offset 940 * \return 1 on success and 0 if an error occurred 941 */ 942int EC_KEY_print(BIO *bp, const EC_KEY *key, int off); 943 944#endif 945#ifndef OPENSSL_NO_FP_API 946/** Prints out the ec parameters on human readable form. 947 * \param fp file descriptor to which the information is printed 948 * \param key EC_KEY object 949 * \return 1 on success and 0 if an error occurred 950 */ 951int ECParameters_print_fp(FILE *fp, const EC_KEY *key); 952 953/** Prints out the contents of a EC_KEY object 954 * \param fp file descriptor to which the information is printed 955 * \param key EC_KEY object 956 * \param off line offset 957 * \return 1 on success and 0 if an error occurred 958 */ 959int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off); 960 961#endif 962 963#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 964 965#ifndef __cplusplus 966#if defined(__SUNPRO_C) 967# if __SUNPRO_C >= 0x520 968# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 969# endif 970# endif 971#endif 972 973#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \ 974 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \ 975 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL) 976 977 978#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1) 979 980/* BEGIN ERROR CODES */ 981/* The following lines are auto generated by the script mkerr.pl. Any changes 982 * made after this point may be overwritten when the script is next run. 983 */ 984void ERR_load_EC_strings(void); 985 986/* Error codes for the EC functions. */ 987 988/* Function codes. */ 989#define EC_F_BN_TO_FELEM 224 990#define EC_F_COMPUTE_WNAF 143 991#define EC_F_D2I_ECPARAMETERS 144 992#define EC_F_D2I_ECPKPARAMETERS 145 993#define EC_F_D2I_ECPRIVATEKEY 146 994#define EC_F_DO_EC_KEY_PRINT 221 995#define EC_F_ECKEY_PARAM2TYPE 223 996#define EC_F_ECKEY_PARAM_DECODE 212 997#define EC_F_ECKEY_PRIV_DECODE 213 998#define EC_F_ECKEY_PRIV_ENCODE 214 999#define EC_F_ECKEY_PUB_DECODE 215 1000#define EC_F_ECKEY_PUB_ENCODE 216 1001#define EC_F_ECKEY_TYPE2PARAM 220 1002#define EC_F_ECPARAMETERS_PRINT 147 1003#define EC_F_ECPARAMETERS_PRINT_FP 148 1004#define EC_F_ECPKPARAMETERS_PRINT 149 1005#define EC_F_ECPKPARAMETERS_PRINT_FP 150 1006#define EC_F_ECP_NIST_MOD_192 203 1007#define EC_F_ECP_NIST_MOD_224 204 1008#define EC_F_ECP_NIST_MOD_256 205 1009#define EC_F_ECP_NIST_MOD_521 206 1010#define EC_F_EC_ASN1_GROUP2CURVE 153 1011#define EC_F_EC_ASN1_GROUP2FIELDID 154 1012#define EC_F_EC_ASN1_GROUP2PARAMETERS 155 1013#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 1014#define EC_F_EC_ASN1_PARAMETERS2GROUP 157 1015#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 1016#define EC_F_EC_EX_DATA_SET_DATA 211 1017#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 1018#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 1019#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 1020#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 1021#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 1022#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 1023#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 1024#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 1025#define EC_F_EC_GFP_MONT_FIELD_DECODE 133 1026#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 1027#define EC_F_EC_GFP_MONT_FIELD_MUL 131 1028#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 1029#define EC_F_EC_GFP_MONT_FIELD_SQR 132 1030#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 1031#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 1032#define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225 1033#define EC_F_EC_GFP_NISTP224_POINTS_MUL 228 1034#define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226 1035#define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230 1036#define EC_F_EC_GFP_NISTP256_POINTS_MUL 231 1037#define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232 1038#define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233 1039#define EC_F_EC_GFP_NISTP521_POINTS_MUL 234 1040#define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235 1041#define EC_F_EC_GFP_NIST_FIELD_MUL 200 1042#define EC_F_EC_GFP_NIST_FIELD_SQR 201 1043#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 1044#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 1045#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 1046#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 1047#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 1048#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 1049#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 1050#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 1051#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 1052#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 1053#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 1054#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 1055#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 1056#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 1057#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 1058#define EC_F_EC_GROUP_CHECK 170 1059#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 1060#define EC_F_EC_GROUP_COPY 106 1061#define EC_F_EC_GROUP_GET0_GENERATOR 139 1062#define EC_F_EC_GROUP_GET_COFACTOR 140 1063#define EC_F_EC_GROUP_GET_CURVE_GF2M 172 1064#define EC_F_EC_GROUP_GET_CURVE_GFP 130 1065#define EC_F_EC_GROUP_GET_DEGREE 173 1066#define EC_F_EC_GROUP_GET_ORDER 141 1067#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 1068#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 1069#define EC_F_EC_GROUP_NEW 108 1070#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 1071#define EC_F_EC_GROUP_NEW_FROM_DATA 175 1072#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 1073#define EC_F_EC_GROUP_SET_CURVE_GF2M 176 1074#define EC_F_EC_GROUP_SET_CURVE_GFP 109 1075#define EC_F_EC_GROUP_SET_EXTRA_DATA 110 1076#define EC_F_EC_GROUP_SET_GENERATOR 111 1077#define EC_F_EC_KEY_CHECK_KEY 177 1078#define EC_F_EC_KEY_COPY 178 1079#define EC_F_EC_KEY_GENERATE_KEY 179 1080#define EC_F_EC_KEY_NEW 182 1081#define EC_F_EC_KEY_PRINT 180 1082#define EC_F_EC_KEY_PRINT_FP 181 1083#define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229 1084#define EC_F_EC_POINTS_MAKE_AFFINE 136 1085#define EC_F_EC_POINT_ADD 112 1086#define EC_F_EC_POINT_CMP 113 1087#define EC_F_EC_POINT_COPY 114 1088#define EC_F_EC_POINT_DBL 115 1089#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 1090#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 1091#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 1092#define EC_F_EC_POINT_INVERT 210 1093#define EC_F_EC_POINT_IS_AT_INFINITY 118 1094#define EC_F_EC_POINT_IS_ON_CURVE 119 1095#define EC_F_EC_POINT_MAKE_AFFINE 120 1096#define EC_F_EC_POINT_MUL 184 1097#define EC_F_EC_POINT_NEW 121 1098#define EC_F_EC_POINT_OCT2POINT 122 1099#define EC_F_EC_POINT_POINT2OCT 123 1100#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 1101#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 1102#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 1103#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 1104#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 1105#define EC_F_EC_POINT_SET_TO_INFINITY 127 1106#define EC_F_EC_PRE_COMP_DUP 207 1107#define EC_F_EC_PRE_COMP_NEW 196 1108#define EC_F_EC_WNAF_MUL 187 1109#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 1110#define EC_F_I2D_ECPARAMETERS 190 1111#define EC_F_I2D_ECPKPARAMETERS 191 1112#define EC_F_I2D_ECPRIVATEKEY 192 1113#define EC_F_I2O_ECPUBLICKEY 151 1114#define EC_F_NISTP224_PRE_COMP_NEW 227 1115#define EC_F_NISTP256_PRE_COMP_NEW 236 1116#define EC_F_NISTP521_PRE_COMP_NEW 237 1117#define EC_F_O2I_ECPUBLICKEY 152 1118#define EC_F_OLD_EC_PRIV_DECODE 222 1119#define EC_F_PKEY_EC_CTRL 197 1120#define EC_F_PKEY_EC_CTRL_STR 198 1121#define EC_F_PKEY_EC_DERIVE 217 1122#define EC_F_PKEY_EC_KEYGEN 199 1123#define EC_F_PKEY_EC_PARAMGEN 219 1124#define EC_F_PKEY_EC_SIGN 218 1125 1126/* Reason codes. */ 1127#define EC_R_ASN1_ERROR 115 1128#define EC_R_ASN1_UNKNOWN_FIELD 116 1129#define EC_R_BIGNUM_OUT_OF_RANGE 144 1130#define EC_R_BUFFER_TOO_SMALL 100 1131#define EC_R_COORDINATES_OUT_OF_RANGE 146 1132#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 1133#define EC_R_DECODE_ERROR 142 1134#define EC_R_DISCRIMINANT_IS_ZERO 118 1135#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 1136#define EC_R_FIELD_TOO_LARGE 143 1137#define EC_R_GF2M_NOT_SUPPORTED 147 1138#define EC_R_GROUP2PKPARAMETERS_FAILURE 120 1139#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 1140#define EC_R_INCOMPATIBLE_OBJECTS 101 1141#define EC_R_INVALID_ARGUMENT 112 1142#define EC_R_INVALID_COMPRESSED_POINT 110 1143#define EC_R_INVALID_COMPRESSION_BIT 109 1144#define EC_R_INVALID_CURVE 141 1145#define EC_R_INVALID_DIGEST_TYPE 138 1146#define EC_R_INVALID_ENCODING 102 1147#define EC_R_INVALID_FIELD 103 1148#define EC_R_INVALID_FORM 104 1149#define EC_R_INVALID_GROUP_ORDER 122 1150#define EC_R_INVALID_PENTANOMIAL_BASIS 132 1151#define EC_R_INVALID_PRIVATE_KEY 123 1152#define EC_R_INVALID_TRINOMIAL_BASIS 137 1153#define EC_R_KEYS_NOT_SET 140 1154#define EC_R_MISSING_PARAMETERS 124 1155#define EC_R_MISSING_PRIVATE_KEY 125 1156#define EC_R_NOT_A_NIST_PRIME 135 1157#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 1158#define EC_R_NOT_IMPLEMENTED 126 1159#define EC_R_NOT_INITIALIZED 111 1160#define EC_R_NO_FIELD_MOD 133 1161#define EC_R_NO_PARAMETERS_SET 139 1162#define EC_R_PASSED_NULL_PARAMETER 134 1163#define EC_R_PKPARAMETERS2GROUP_FAILURE 127 1164#define EC_R_POINT_AT_INFINITY 106 1165#define EC_R_POINT_IS_NOT_ON_CURVE 107 1166#define EC_R_SLOT_FULL 108 1167#define EC_R_UNDEFINED_GENERATOR 113 1168#define EC_R_UNDEFINED_ORDER 128 1169#define EC_R_UNKNOWN_GROUP 129 1170#define EC_R_UNKNOWN_ORDER 114 1171#define EC_R_UNSUPPORTED_FIELD 131 1172#define EC_R_WRONG_CURVE_PARAMETERS 145 1173#define EC_R_WRONG_ORDER 130 1174 1175#ifdef __cplusplus 1176} 1177#endif 1178#endif 1179