ec.h revision 296341
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# ifndef OPENSSL_ECC_MAX_FIELD_BITS 100# define OPENSSL_ECC_MAX_FIELD_BITS 661 101# endif 102 103/** Enum for the point conversion form as defined in X9.62 (ECDSA) 104 * for the encoding of a elliptic curve point (x,y) */ 105typedef enum { 106 /** the point is encoded as z||x, where the octet z specifies 107 * which solution of the quadratic equation y is */ 108 POINT_CONVERSION_COMPRESSED = 2, 109 /** the point is encoded as z||x||y, where z is the octet 0x02 */ 110 POINT_CONVERSION_UNCOMPRESSED = 4, 111 /** the point is encoded as z||x||y, where the octet z specifies 112 * which solution of the quadratic equation y is */ 113 POINT_CONVERSION_HYBRID = 6 114} point_conversion_form_t; 115 116typedef struct ec_method_st EC_METHOD; 117 118typedef struct ec_group_st 119 /*- 120 EC_METHOD *meth; 121 -- field definition 122 -- curve coefficients 123 -- optional generator with associated information (order, cofactor) 124 -- optional extra data (precomputed table for fast computation of multiples of generator) 125 -- ASN1 stuff 126 */ 127 EC_GROUP; 128 129typedef struct ec_point_st EC_POINT; 130 131/********************************************************************/ 132/* EC_METHODs for curves over GF(p) */ 133/********************************************************************/ 134 135/** Returns the basic GFp ec methods which provides the basis for the 136 * optimized methods. 137 * \return EC_METHOD object 138 */ 139const EC_METHOD *EC_GFp_simple_method(void); 140 141/** Returns GFp methods using montgomery multiplication. 142 * \return EC_METHOD object 143 */ 144const EC_METHOD *EC_GFp_mont_method(void); 145 146/** Returns GFp methods using optimized methods for NIST recommended curves 147 * \return EC_METHOD object 148 */ 149const EC_METHOD *EC_GFp_nist_method(void); 150 151# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 152/** Returns 64-bit optimized methods for nistp224 153 * \return EC_METHOD object 154 */ 155const EC_METHOD *EC_GFp_nistp224_method(void); 156 157/** Returns 64-bit optimized methods for nistp256 158 * \return EC_METHOD object 159 */ 160const EC_METHOD *EC_GFp_nistp256_method(void); 161 162/** Returns 64-bit optimized methods for nistp521 163 * \return EC_METHOD object 164 */ 165const EC_METHOD *EC_GFp_nistp521_method(void); 166# endif 167 168# ifndef OPENSSL_NO_EC2M 169/********************************************************************/ 170/* EC_METHOD for curves over GF(2^m) */ 171/********************************************************************/ 172 173/** Returns the basic GF2m ec method 174 * \return EC_METHOD object 175 */ 176const EC_METHOD *EC_GF2m_simple_method(void); 177 178# endif 179 180/********************************************************************/ 181/* EC_GROUP functions */ 182/********************************************************************/ 183 184/** Creates a new EC_GROUP object 185 * \param meth EC_METHOD to use 186 * \return newly created EC_GROUP object or NULL in case of an error. 187 */ 188EC_GROUP *EC_GROUP_new(const EC_METHOD *meth); 189 190/** Frees a EC_GROUP object 191 * \param group EC_GROUP object to be freed. 192 */ 193void EC_GROUP_free(EC_GROUP *group); 194 195/** Clears and frees a EC_GROUP object 196 * \param group EC_GROUP object to be cleared and freed. 197 */ 198void EC_GROUP_clear_free(EC_GROUP *group); 199 200/** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD. 201 * \param dst destination EC_GROUP object 202 * \param src source EC_GROUP object 203 * \return 1 on success and 0 if an error occurred. 204 */ 205int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src); 206 207/** Creates a new EC_GROUP object and copies the copies the content 208 * form src to the newly created EC_KEY object 209 * \param src source EC_GROUP object 210 * \return newly created EC_GROUP object or NULL in case of an error. 211 */ 212EC_GROUP *EC_GROUP_dup(const EC_GROUP *src); 213 214/** Returns the EC_METHOD of the EC_GROUP object. 215 * \param group EC_GROUP object 216 * \return EC_METHOD used in this EC_GROUP object. 217 */ 218const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); 219 220/** Returns the field type of the EC_METHOD. 221 * \param meth EC_METHOD object 222 * \return NID of the underlying field type OID. 223 */ 224int EC_METHOD_get_field_type(const EC_METHOD *meth); 225 226/** Sets the generator and it's order/cofactor of a EC_GROUP object. 227 * \param group EC_GROUP object 228 * \param generator EC_POINT object with the generator. 229 * \param order the order of the group generated by the generator. 230 * \param cofactor the index of the sub-group generated by the generator 231 * in the group of all points on the elliptic curve. 232 * \return 1 on success and 0 if an error occured 233 */ 234int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, 235 const BIGNUM *order, const BIGNUM *cofactor); 236 237/** Returns the generator of a EC_GROUP object. 238 * \param group EC_GROUP object 239 * \return the currently used generator (possibly NULL). 240 */ 241const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); 242 243/** Gets the order of a EC_GROUP 244 * \param group EC_GROUP object 245 * \param order BIGNUM to which the order is copied 246 * \param ctx BN_CTX object (optional) 247 * \return 1 on success and 0 if an error occured 248 */ 249int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx); 250 251/** Gets the cofactor of a EC_GROUP 252 * \param group EC_GROUP object 253 * \param cofactor BIGNUM to which the cofactor is copied 254 * \param ctx BN_CTX object (optional) 255 * \return 1 on success and 0 if an error occured 256 */ 257int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, 258 BN_CTX *ctx); 259 260/** Sets the name of a EC_GROUP object 261 * \param group EC_GROUP object 262 * \param nid NID of the curve name OID 263 */ 264void EC_GROUP_set_curve_name(EC_GROUP *group, int nid); 265 266/** Returns the curve name of a EC_GROUP object 267 * \param group EC_GROUP object 268 * \return NID of the curve name OID or 0 if not set. 269 */ 270int EC_GROUP_get_curve_name(const EC_GROUP *group); 271 272void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); 273int EC_GROUP_get_asn1_flag(const EC_GROUP *group); 274 275void EC_GROUP_set_point_conversion_form(EC_GROUP *group, 276 point_conversion_form_t form); 277point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); 278 279unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x); 280size_t EC_GROUP_get_seed_len(const EC_GROUP *); 281size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); 282 283/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b 284 * \param group EC_GROUP object 285 * \param p BIGNUM with the prime number 286 * \param a BIGNUM with parameter a of the equation 287 * \param b BIGNUM with parameter b of the equation 288 * \param ctx BN_CTX object (optional) 289 * \return 1 on success and 0 if an error occured 290 */ 291int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, 292 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, 303 BIGNUM *b, BN_CTX *ctx); 304 305# ifndef OPENSSL_NO_EC2M 306/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 307 * \param group EC_GROUP object 308 * \param p BIGNUM with the polynomial defining the underlying field 309 * \param a BIGNUM with parameter a of the equation 310 * \param b BIGNUM with parameter b of the equation 311 * \param ctx BN_CTX object (optional) 312 * \return 1 on success and 0 if an error occured 313 */ 314int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, 315 const BIGNUM *b, BN_CTX *ctx); 316 317/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 318 * \param group EC_GROUP object 319 * \param p BIGNUM for the polynomial defining the underlying field 320 * \param a BIGNUM for parameter a of the equation 321 * \param b BIGNUM for parameter b of the equation 322 * \param ctx BN_CTX object (optional) 323 * \return 1 on success and 0 if an error occured 324 */ 325int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, 326 BIGNUM *b, BN_CTX *ctx); 327# endif 328/** Returns the number of bits needed to represent a field element 329 * \param group EC_GROUP object 330 * \return number of bits needed to represent a field element 331 */ 332int EC_GROUP_get_degree(const EC_GROUP *group); 333 334/** Checks whether the parameter in the EC_GROUP define a valid ec group 335 * \param group EC_GROUP object 336 * \param ctx BN_CTX object (optional) 337 * \return 1 if group is a valid ec group and 0 otherwise 338 */ 339int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); 340 341/** Checks whether the discriminant of the elliptic curve is zero or not 342 * \param group EC_GROUP object 343 * \param ctx BN_CTX object (optional) 344 * \return 1 if the discriminant is not zero and 0 otherwise 345 */ 346int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx); 347 348/** Compares two EC_GROUP objects 349 * \param a first EC_GROUP object 350 * \param b second EC_GROUP object 351 * \param ctx BN_CTX object (optional) 352 * \return 0 if both groups are equal and 1 otherwise 353 */ 354int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx); 355 356/* 357 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after 358 * choosing an appropriate EC_METHOD 359 */ 360 361/** Creates a new EC_GROUP object with the specified parameters defined 362 * over GFp (defined by the equation y^2 = x^3 + a*x + b) 363 * \param p BIGNUM with the prime number 364 * \param a BIGNUM with the parameter a of the equation 365 * \param b BIGNUM with the parameter b of the equation 366 * \param ctx BN_CTX object (optional) 367 * \return newly created EC_GROUP object with the specified parameters 368 */ 369EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, 370 const BIGNUM *b, BN_CTX *ctx); 371# ifndef OPENSSL_NO_EC2M 372/** Creates a new EC_GROUP object with the specified parameters defined 373 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b) 374 * \param p BIGNUM with the polynomial defining the underlying field 375 * \param a BIGNUM with the parameter a of the equation 376 * \param b BIGNUM with the parameter b of the equation 377 * \param ctx BN_CTX object (optional) 378 * \return newly created EC_GROUP object with the specified parameters 379 */ 380EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, 381 const BIGNUM *b, BN_CTX *ctx); 382# endif 383/** Creates a EC_GROUP object with a curve specified by a NID 384 * \param nid NID of the OID of the curve name 385 * \return newly created EC_GROUP object with specified curve or NULL 386 * if an error occurred 387 */ 388EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 389 390/********************************************************************/ 391/* handling of internal curves */ 392/********************************************************************/ 393 394typedef struct { 395 int nid; 396 const char *comment; 397} EC_builtin_curve; 398 399/* 400 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all 401 * available curves or zero if a error occurred. In case r ist not zero 402 * nitems EC_builtin_curve structures are filled with the data of the first 403 * nitems internal groups 404 */ 405size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); 406 407/********************************************************************/ 408/* EC_POINT functions */ 409/********************************************************************/ 410 411/** Creates a new EC_POINT object for the specified EC_GROUP 412 * \param group EC_GROUP the underlying EC_GROUP object 413 * \return newly created EC_POINT object or NULL if an error occurred 414 */ 415EC_POINT *EC_POINT_new(const EC_GROUP *group); 416 417/** Frees a EC_POINT object 418 * \param point EC_POINT object to be freed 419 */ 420void EC_POINT_free(EC_POINT *point); 421 422/** Clears and frees a EC_POINT object 423 * \param point EC_POINT object to be cleared and freed 424 */ 425void EC_POINT_clear_free(EC_POINT *point); 426 427/** Copies EC_POINT object 428 * \param dst destination EC_POINT object 429 * \param src source EC_POINT object 430 * \return 1 on success and 0 if an error occured 431 */ 432int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src); 433 434/** Creates a new EC_POINT object and copies the content of the supplied 435 * EC_POINT 436 * \param src source EC_POINT object 437 * \param group underlying the EC_GROUP object 438 * \return newly created EC_POINT object or NULL if an error occurred 439 */ 440EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group); 441 442/** Returns the EC_METHOD used in EC_POINT object 443 * \param point EC_POINT object 444 * \return the EC_METHOD used 445 */ 446const EC_METHOD *EC_POINT_method_of(const EC_POINT *point); 447 448/** Sets a point to infinity (neutral element) 449 * \param group underlying EC_GROUP object 450 * \param point EC_POINT to set to infinity 451 * \return 1 on success and 0 if an error occured 452 */ 453int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point); 454 455/** Sets the jacobian projective coordinates of a EC_POINT over GFp 456 * \param group underlying EC_GROUP object 457 * \param p EC_POINT object 458 * \param x BIGNUM with the x-coordinate 459 * \param y BIGNUM with the y-coordinate 460 * \param z BIGNUM with the z-coordinate 461 * \param ctx BN_CTX object (optional) 462 * \return 1 on success and 0 if an error occured 463 */ 464int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, 465 EC_POINT *p, const BIGNUM *x, 466 const BIGNUM *y, const BIGNUM *z, 467 BN_CTX *ctx); 468 469/** Gets the jacobian projective coordinates of a EC_POINT over GFp 470 * \param group underlying EC_GROUP object 471 * \param p EC_POINT object 472 * \param x BIGNUM for the x-coordinate 473 * \param y BIGNUM for the y-coordinate 474 * \param z BIGNUM for the z-coordinate 475 * \param ctx BN_CTX object (optional) 476 * \return 1 on success and 0 if an error occured 477 */ 478int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, 479 const EC_POINT *p, BIGNUM *x, 480 BIGNUM *y, BIGNUM *z, 481 BN_CTX *ctx); 482 483/** Sets the affine coordinates of a EC_POINT over GFp 484 * \param group underlying EC_GROUP object 485 * \param p EC_POINT object 486 * \param x BIGNUM with the x-coordinate 487 * \param y BIGNUM with the y-coordinate 488 * \param ctx BN_CTX object (optional) 489 * \return 1 on success and 0 if an error occured 490 */ 491int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 492 const BIGNUM *x, const BIGNUM *y, 493 BN_CTX *ctx); 494 495/** Gets the affine coordinates of a EC_POINT over GFp 496 * \param group underlying EC_GROUP object 497 * \param p EC_POINT object 498 * \param x BIGNUM for the x-coordinate 499 * \param y BIGNUM for the y-coordinate 500 * \param ctx BN_CTX object (optional) 501 * \return 1 on success and 0 if an error occured 502 */ 503int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, 504 const EC_POINT *p, BIGNUM *x, 505 BIGNUM *y, BN_CTX *ctx); 506 507/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp 508 * \param group underlying EC_GROUP object 509 * \param p EC_POINT object 510 * \param x BIGNUM with x-coordinate 511 * \param y_bit integer with the y-Bit (either 0 or 1) 512 * \param ctx BN_CTX object (optional) 513 * \return 1 on success and 0 if an error occured 514 */ 515int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, 516 EC_POINT *p, const BIGNUM *x, 517 int y_bit, BN_CTX *ctx); 518# ifndef OPENSSL_NO_EC2M 519/** Sets the affine coordinates of a EC_POINT over GF2m 520 * \param group underlying EC_GROUP object 521 * \param p EC_POINT object 522 * \param x BIGNUM with the x-coordinate 523 * \param y BIGNUM with the y-coordinate 524 * \param ctx BN_CTX object (optional) 525 * \return 1 on success and 0 if an error occured 526 */ 527int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, 528 const BIGNUM *x, const BIGNUM *y, 529 BN_CTX *ctx); 530 531/** Gets the affine coordinates of a EC_POINT over GF2m 532 * \param group underlying EC_GROUP object 533 * \param p EC_POINT object 534 * \param x BIGNUM for the x-coordinate 535 * \param y BIGNUM for the y-coordinate 536 * \param ctx BN_CTX object (optional) 537 * \return 1 on success and 0 if an error occured 538 */ 539int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, 540 const EC_POINT *p, BIGNUM *x, 541 BIGNUM *y, BN_CTX *ctx); 542 543/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m 544 * \param group underlying EC_GROUP object 545 * \param p EC_POINT object 546 * \param x BIGNUM with x-coordinate 547 * \param y_bit integer with the y-Bit (either 0 or 1) 548 * \param ctx BN_CTX object (optional) 549 * \return 1 on success and 0 if an error occured 550 */ 551int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, 552 EC_POINT *p, const BIGNUM *x, 553 int y_bit, BN_CTX *ctx); 554# endif 555/** Encodes a EC_POINT object to a octet string 556 * \param group underlying EC_GROUP object 557 * \param p EC_POINT object 558 * \param form point conversion form 559 * \param buf memory buffer for the result. If NULL the function returns 560 * required buffer size. 561 * \param len length of the memory buffer 562 * \param ctx BN_CTX object (optional) 563 * \return the length of the encoded octet string or 0 if an error occurred 564 */ 565size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p, 566 point_conversion_form_t form, 567 unsigned char *buf, size_t len, BN_CTX *ctx); 568 569/** Decodes a EC_POINT from a octet string 570 * \param group underlying EC_GROUP object 571 * \param p EC_POINT object 572 * \param buf memory buffer with the encoded ec point 573 * \param len length of the encoded ec point 574 * \param ctx BN_CTX object (optional) 575 * \return 1 on success and 0 if an error occured 576 */ 577int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p, 578 const unsigned char *buf, size_t len, BN_CTX *ctx); 579 580/* other interfaces to point2oct/oct2point: */ 581BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, 582 point_conversion_form_t form, BIGNUM *, BN_CTX *); 583EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, 584 EC_POINT *, BN_CTX *); 585char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, 586 point_conversion_form_t form, BN_CTX *); 587EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, 588 EC_POINT *, BN_CTX *); 589 590/********************************************************************/ 591/* functions for doing EC_POINT arithmetic */ 592/********************************************************************/ 593 594/** Computes the sum of two EC_POINT 595 * \param group underlying EC_GROUP object 596 * \param r EC_POINT object for the result (r = a + b) 597 * \param a EC_POINT object with the first summand 598 * \param b EC_POINT object with the second summand 599 * \param ctx BN_CTX object (optional) 600 * \return 1 on success and 0 if an error occured 601 */ 602int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, 603 const EC_POINT *b, BN_CTX *ctx); 604 605/** Computes the double of a EC_POINT 606 * \param group underlying EC_GROUP object 607 * \param r EC_POINT object for the result (r = 2 * a) 608 * \param a EC_POINT object 609 * \param ctx BN_CTX object (optional) 610 * \return 1 on success and 0 if an error occured 611 */ 612int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, 613 BN_CTX *ctx); 614 615/** Computes the inverse of a EC_POINT 616 * \param group underlying EC_GROUP object 617 * \param a EC_POINT object to be inverted (it's used for the result as well) 618 * \param ctx BN_CTX object (optional) 619 * \return 1 on success and 0 if an error occured 620 */ 621int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx); 622 623/** Checks whether the point is the neutral element of the group 624 * \param group the underlying EC_GROUP object 625 * \param p EC_POINT object 626 * \return 1 if the point is the neutral element and 0 otherwise 627 */ 628int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p); 629 630/** Checks whether the point is on the curve 631 * \param group underlying EC_GROUP object 632 * \param point EC_POINT object to check 633 * \param ctx BN_CTX object (optional) 634 * \return 1 if point if on the curve and 0 otherwise 635 */ 636int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, 637 BN_CTX *ctx); 638 639/** Compares two EC_POINTs 640 * \param group underlying EC_GROUP object 641 * \param a first EC_POINT object 642 * \param b second EC_POINT object 643 * \param ctx BN_CTX object (optional) 644 * \return 0 if both points are equal and a value != 0 otherwise 645 */ 646int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, 647 BN_CTX *ctx); 648 649int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx); 650int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, 651 EC_POINT *points[], BN_CTX *ctx); 652 653/** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i] 654 * \param group underlying EC_GROUP object 655 * \param r EC_POINT object for the result 656 * \param n BIGNUM with the multiplier for the group generator (optional) 657 * \param num number futher summands 658 * \param p array of size num of EC_POINT objects 659 * \param m array of size num of BIGNUM objects 660 * \param ctx BN_CTX object (optional) 661 * \return 1 on success and 0 if an error occured 662 */ 663int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, 664 size_t num, const EC_POINT *p[], const BIGNUM *m[], 665 BN_CTX *ctx); 666 667/** Computes r = generator * n + q * m 668 * \param group underlying EC_GROUP object 669 * \param r EC_POINT object for the result 670 * \param n BIGNUM with the multiplier for the group generator (optional) 671 * \param q EC_POINT object with the first factor of the second summand 672 * \param m BIGNUM with the second factor of the second summand 673 * \param ctx BN_CTX object (optional) 674 * \return 1 on success and 0 if an error occured 675 */ 676int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, 677 const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx); 678 679/** Stores multiples of generator for faster point multiplication 680 * \param group EC_GROUP object 681 * \param ctx BN_CTX object (optional) 682 * \return 1 on success and 0 if an error occured 683 */ 684int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 685 686/** Reports whether a precomputation has been done 687 * \param group EC_GROUP object 688 * \return 1 if a pre-computation has been done and 0 otherwise 689 */ 690int EC_GROUP_have_precompute_mult(const EC_GROUP *group); 691 692/********************************************************************/ 693/* ASN1 stuff */ 694/********************************************************************/ 695 696/* 697 * EC_GROUP_get_basis_type() returns the NID of the basis type used to 698 * represent the field elements 699 */ 700int EC_GROUP_get_basis_type(const EC_GROUP *); 701# ifndef OPENSSL_NO_EC2M 702int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); 703int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, 704 unsigned int *k2, unsigned int *k3); 705# endif 706 707# define OPENSSL_EC_NAMED_CURVE 0x001 708 709typedef struct ecpk_parameters_st ECPKPARAMETERS; 710 711EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); 712int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); 713 714# define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) 715# define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) 716# define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ 717 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) 718# define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ 719 (unsigned char *)(x)) 720 721# ifndef OPENSSL_NO_BIO 722int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); 723# endif 724# ifndef OPENSSL_NO_FP_API 725int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); 726# endif 727 728/********************************************************************/ 729/* EC_KEY functions */ 730/********************************************************************/ 731 732typedef struct ec_key_st EC_KEY; 733 734/* some values for the encoding_flag */ 735# define EC_PKEY_NO_PARAMETERS 0x001 736# define EC_PKEY_NO_PUBKEY 0x002 737 738/* some values for the flags field */ 739# define EC_FLAG_NON_FIPS_ALLOW 0x1 740# define EC_FLAG_FIPS_CHECKED 0x2 741 742/** Creates a new EC_KEY object. 743 * \return EC_KEY object or NULL if an error occurred. 744 */ 745EC_KEY *EC_KEY_new(void); 746 747int EC_KEY_get_flags(const EC_KEY *key); 748 749void EC_KEY_set_flags(EC_KEY *key, int flags); 750 751void EC_KEY_clear_flags(EC_KEY *key, int flags); 752 753/** Creates a new EC_KEY object using a named curve as underlying 754 * EC_GROUP object. 755 * \param nid NID of the named curve. 756 * \return EC_KEY object or NULL if an error occurred. 757 */ 758EC_KEY *EC_KEY_new_by_curve_name(int nid); 759 760/** Frees a EC_KEY object. 761 * \param key EC_KEY object to be freed. 762 */ 763void EC_KEY_free(EC_KEY *key); 764 765/** Copies a EC_KEY object. 766 * \param dst destination EC_KEY object 767 * \param src src EC_KEY object 768 * \return dst or NULL if an error occurred. 769 */ 770EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src); 771 772/** Creates a new EC_KEY object and copies the content from src to it. 773 * \param src the source EC_KEY object 774 * \return newly created EC_KEY object or NULL if an error occurred. 775 */ 776EC_KEY *EC_KEY_dup(const EC_KEY *src); 777 778/** Increases the internal reference count of a EC_KEY object. 779 * \param key EC_KEY object 780 * \return 1 on success and 0 if an error occurred. 781 */ 782int EC_KEY_up_ref(EC_KEY *key); 783 784/** Returns the EC_GROUP object of a EC_KEY object 785 * \param key EC_KEY object 786 * \return the EC_GROUP object (possibly NULL). 787 */ 788const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key); 789 790/** Sets the EC_GROUP of a EC_KEY object. 791 * \param key EC_KEY object 792 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY 793 * object will use an own copy of the EC_GROUP). 794 * \return 1 on success and 0 if an error occurred. 795 */ 796int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group); 797 798/** Returns the private key of a EC_KEY object. 799 * \param key EC_KEY object 800 * \return a BIGNUM with the private key (possibly NULL). 801 */ 802const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key); 803 804/** Sets the private key of a EC_KEY object. 805 * \param key EC_KEY object 806 * \param prv BIGNUM with the private key (note: the EC_KEY object 807 * will use an own copy of the BIGNUM). 808 * \return 1 on success and 0 if an error occurred. 809 */ 810int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv); 811 812/** Returns the public key of a EC_KEY object. 813 * \param key the EC_KEY object 814 * \return a EC_POINT object with the public key (possibly NULL) 815 */ 816const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key); 817 818/** Sets the public key of a EC_KEY object. 819 * \param key EC_KEY object 820 * \param pub EC_POINT object with the public key (note: the EC_KEY object 821 * will use an own copy of the EC_POINT object). 822 * \return 1 on success and 0 if an error occurred. 823 */ 824int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub); 825 826unsigned EC_KEY_get_enc_flags(const EC_KEY *key); 827void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags); 828point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key); 829void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform); 830/* functions to set/get method specific data */ 831void *EC_KEY_get_key_method_data(EC_KEY *key, 832 void *(*dup_func) (void *), 833 void (*free_func) (void *), 834 void (*clear_free_func) (void *)); 835/** Sets the key method data of an EC_KEY object, if none has yet been set. 836 * \param key EC_KEY object 837 * \param data opaque data to install. 838 * \param dup_func a function that duplicates |data|. 839 * \param free_func a function that frees |data|. 840 * \param clear_free_func a function that wipes and frees |data|. 841 * \return the previously set data pointer, or NULL if |data| was inserted. 842 */ 843void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data, 844 void *(*dup_func) (void *), 845 void (*free_func) (void *), 846 void (*clear_free_func) (void *)); 847/* wrapper functions for the underlying EC_GROUP object */ 848void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag); 849 850/** Creates a table of pre-computed multiples of the generator to 851 * accelerate further EC_KEY operations. 852 * \param key EC_KEY object 853 * \param ctx BN_CTX object (optional) 854 * \return 1 on success and 0 if an error occurred. 855 */ 856int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx); 857 858/** Creates a new ec private (and optional a new public) key. 859 * \param key EC_KEY object 860 * \return 1 on success and 0 if an error occurred. 861 */ 862int EC_KEY_generate_key(EC_KEY *key); 863 864/** Verifies that a private and/or public key is valid. 865 * \param key the EC_KEY object 866 * \return 1 on success and 0 otherwise. 867 */ 868int EC_KEY_check_key(const EC_KEY *key); 869 870/** Sets a public key from affine coordindates performing 871 * neccessary NIST PKV tests. 872 * \param key the EC_KEY object 873 * \param x public key x coordinate 874 * \param y public key y coordinate 875 * \return 1 on success and 0 otherwise. 876 */ 877int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, 878 BIGNUM *y); 879 880/********************************************************************/ 881/* de- and encoding functions for SEC1 ECPrivateKey */ 882/********************************************************************/ 883 884/** Decodes a private key from a memory buffer. 885 * \param key a pointer to a EC_KEY object which should be used (or NULL) 886 * \param in pointer to memory with the DER encoded private key 887 * \param len length of the DER encoded private key 888 * \return the decoded private key or NULL if an error occurred. 889 */ 890EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len); 891 892/** Encodes a private key object and stores the result in a buffer. 893 * \param key the EC_KEY object to encode 894 * \param out the buffer for the result (if NULL the function returns number 895 * of bytes needed). 896 * \return 1 on success and 0 if an error occurred. 897 */ 898int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out); 899 900/********************************************************************/ 901/* de- and encoding functions for EC parameters */ 902/********************************************************************/ 903 904/** Decodes ec parameter from a memory buffer. 905 * \param key a pointer to a EC_KEY object which should be used (or NULL) 906 * \param in pointer to memory with the DER encoded ec parameters 907 * \param len length of the DER encoded ec parameters 908 * \return a EC_KEY object with the decoded parameters or NULL if an error 909 * occurred. 910 */ 911EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len); 912 913/** Encodes ec parameter and stores the result in a buffer. 914 * \param key the EC_KEY object with ec paramters to encode 915 * \param out the buffer for the result (if NULL the function returns number 916 * of bytes needed). 917 * \return 1 on success and 0 if an error occurred. 918 */ 919int i2d_ECParameters(EC_KEY *key, unsigned char **out); 920 921/********************************************************************/ 922/* de- and encoding functions for EC public key */ 923/* (octet string, not DER -- hence 'o2i' and 'i2o') */ 924/********************************************************************/ 925 926/** Decodes a ec public key from a octet string. 927 * \param key a pointer to a EC_KEY object which should be used 928 * \param in memory buffer with the encoded public key 929 * \param len length of the encoded public key 930 * \return EC_KEY object with decoded public key or NULL if an error 931 * occurred. 932 */ 933EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len); 934 935/** Encodes a ec public key in an octet string. 936 * \param key the EC_KEY object with the public key 937 * \param out the buffer for the result (if NULL the function returns number 938 * of bytes needed). 939 * \return 1 on success and 0 if an error occurred 940 */ 941int i2o_ECPublicKey(EC_KEY *key, unsigned char **out); 942 943# ifndef OPENSSL_NO_BIO 944/** Prints out the ec parameters on human readable form. 945 * \param bp BIO object to which the information is printed 946 * \param key EC_KEY object 947 * \return 1 on success and 0 if an error occurred 948 */ 949int ECParameters_print(BIO *bp, const EC_KEY *key); 950 951/** Prints out the contents of a EC_KEY object 952 * \param bp BIO object to which the information is printed 953 * \param key EC_KEY object 954 * \param off line offset 955 * \return 1 on success and 0 if an error occurred 956 */ 957int EC_KEY_print(BIO *bp, const EC_KEY *key, int off); 958 959# endif 960# ifndef OPENSSL_NO_FP_API 961/** Prints out the ec parameters on human readable form. 962 * \param fp file descriptor to which the information is printed 963 * \param key EC_KEY object 964 * \return 1 on success and 0 if an error occurred 965 */ 966int ECParameters_print_fp(FILE *fp, const EC_KEY *key); 967 968/** Prints out the contents of a EC_KEY object 969 * \param fp file descriptor to which the information is printed 970 * \param key EC_KEY object 971 * \param off line offset 972 * \return 1 on success and 0 if an error occurred 973 */ 974int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off); 975 976# endif 977 978# define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 979 980# ifndef __cplusplus 981# if defined(__SUNPRO_C) 982# if __SUNPRO_C >= 0x520 983# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 984# endif 985# endif 986# endif 987 988# define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \ 989 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \ 990 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL) 991 992# define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1) 993 994/* BEGIN ERROR CODES */ 995/* 996 * The following lines are auto generated by the script mkerr.pl. Any changes 997 * made after this point may be overwritten when the script is next run. 998 */ 999void ERR_load_EC_strings(void); 1000 1001/* Error codes for the EC functions. */ 1002 1003/* Function codes. */ 1004# define EC_F_BN_TO_FELEM 224 1005# define EC_F_COMPUTE_WNAF 143 1006# define EC_F_D2I_ECPARAMETERS 144 1007# define EC_F_D2I_ECPKPARAMETERS 145 1008# define EC_F_D2I_ECPRIVATEKEY 146 1009# define EC_F_DO_EC_KEY_PRINT 221 1010# define EC_F_ECKEY_PARAM2TYPE 223 1011# define EC_F_ECKEY_PARAM_DECODE 212 1012# define EC_F_ECKEY_PRIV_DECODE 213 1013# define EC_F_ECKEY_PRIV_ENCODE 214 1014# define EC_F_ECKEY_PUB_DECODE 215 1015# define EC_F_ECKEY_PUB_ENCODE 216 1016# define EC_F_ECKEY_TYPE2PARAM 220 1017# define EC_F_ECPARAMETERS_PRINT 147 1018# define EC_F_ECPARAMETERS_PRINT_FP 148 1019# define EC_F_ECPKPARAMETERS_PRINT 149 1020# define EC_F_ECPKPARAMETERS_PRINT_FP 150 1021# define EC_F_ECP_NIST_MOD_192 203 1022# define EC_F_ECP_NIST_MOD_224 204 1023# define EC_F_ECP_NIST_MOD_256 205 1024# define EC_F_ECP_NIST_MOD_521 206 1025# define EC_F_EC_ASN1_GROUP2CURVE 153 1026# define EC_F_EC_ASN1_GROUP2FIELDID 154 1027# define EC_F_EC_ASN1_GROUP2PARAMETERS 155 1028# define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 1029# define EC_F_EC_ASN1_PARAMETERS2GROUP 157 1030# define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 1031# define EC_F_EC_EX_DATA_SET_DATA 211 1032# define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 1033# define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 1034# define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 1035# define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 1036# define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 1037# define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 1038# define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 1039# define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 1040# define EC_F_EC_GFP_MONT_FIELD_DECODE 133 1041# define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 1042# define EC_F_EC_GFP_MONT_FIELD_MUL 131 1043# define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 1044# define EC_F_EC_GFP_MONT_FIELD_SQR 132 1045# define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 1046# define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 1047# define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225 1048# define EC_F_EC_GFP_NISTP224_POINTS_MUL 228 1049# define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226 1050# define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230 1051# define EC_F_EC_GFP_NISTP256_POINTS_MUL 231 1052# define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232 1053# define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233 1054# define EC_F_EC_GFP_NISTP521_POINTS_MUL 234 1055# define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235 1056# define EC_F_EC_GFP_NIST_FIELD_MUL 200 1057# define EC_F_EC_GFP_NIST_FIELD_SQR 201 1058# define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 1059# define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 1060# define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 1061# define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 1062# define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 1063# define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 1064# define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 1065# define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 1066# define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 1067# define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 1068# define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 1069# define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 1070# define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 1071# define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 1072# define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 1073# define EC_F_EC_GROUP_CHECK 170 1074# define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 1075# define EC_F_EC_GROUP_COPY 106 1076# define EC_F_EC_GROUP_GET0_GENERATOR 139 1077# define EC_F_EC_GROUP_GET_COFACTOR 140 1078# define EC_F_EC_GROUP_GET_CURVE_GF2M 172 1079# define EC_F_EC_GROUP_GET_CURVE_GFP 130 1080# define EC_F_EC_GROUP_GET_DEGREE 173 1081# define EC_F_EC_GROUP_GET_ORDER 141 1082# define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 1083# define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 1084# define EC_F_EC_GROUP_NEW 108 1085# define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 1086# define EC_F_EC_GROUP_NEW_FROM_DATA 175 1087# define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 1088# define EC_F_EC_GROUP_SET_CURVE_GF2M 176 1089# define EC_F_EC_GROUP_SET_CURVE_GFP 109 1090# define EC_F_EC_GROUP_SET_EXTRA_DATA 110 1091# define EC_F_EC_GROUP_SET_GENERATOR 111 1092# define EC_F_EC_KEY_CHECK_KEY 177 1093# define EC_F_EC_KEY_COPY 178 1094# define EC_F_EC_KEY_GENERATE_KEY 179 1095# define EC_F_EC_KEY_NEW 182 1096# define EC_F_EC_KEY_PRINT 180 1097# define EC_F_EC_KEY_PRINT_FP 181 1098# define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229 1099# define EC_F_EC_POINTS_MAKE_AFFINE 136 1100# define EC_F_EC_POINT_ADD 112 1101# define EC_F_EC_POINT_CMP 113 1102# define EC_F_EC_POINT_COPY 114 1103# define EC_F_EC_POINT_DBL 115 1104# define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 1105# define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 1106# define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 1107# define EC_F_EC_POINT_INVERT 210 1108# define EC_F_EC_POINT_IS_AT_INFINITY 118 1109# define EC_F_EC_POINT_IS_ON_CURVE 119 1110# define EC_F_EC_POINT_MAKE_AFFINE 120 1111# define EC_F_EC_POINT_MUL 184 1112# define EC_F_EC_POINT_NEW 121 1113# define EC_F_EC_POINT_OCT2POINT 122 1114# define EC_F_EC_POINT_POINT2OCT 123 1115# define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 1116# define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 1117# define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 1118# define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 1119# define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 1120# define EC_F_EC_POINT_SET_TO_INFINITY 127 1121# define EC_F_EC_PRE_COMP_DUP 207 1122# define EC_F_EC_PRE_COMP_NEW 196 1123# define EC_F_EC_WNAF_MUL 187 1124# define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 1125# define EC_F_I2D_ECPARAMETERS 190 1126# define EC_F_I2D_ECPKPARAMETERS 191 1127# define EC_F_I2D_ECPRIVATEKEY 192 1128# define EC_F_I2O_ECPUBLICKEY 151 1129# define EC_F_NISTP224_PRE_COMP_NEW 227 1130# define EC_F_NISTP256_PRE_COMP_NEW 236 1131# define EC_F_NISTP521_PRE_COMP_NEW 237 1132# define EC_F_O2I_ECPUBLICKEY 152 1133# define EC_F_OLD_EC_PRIV_DECODE 222 1134# define EC_F_PKEY_EC_CTRL 197 1135# define EC_F_PKEY_EC_CTRL_STR 198 1136# define EC_F_PKEY_EC_DERIVE 217 1137# define EC_F_PKEY_EC_KEYGEN 199 1138# define EC_F_PKEY_EC_PARAMGEN 219 1139# define EC_F_PKEY_EC_SIGN 218 1140 1141/* Reason codes. */ 1142# define EC_R_ASN1_ERROR 115 1143# define EC_R_ASN1_UNKNOWN_FIELD 116 1144# define EC_R_BIGNUM_OUT_OF_RANGE 144 1145# define EC_R_BUFFER_TOO_SMALL 100 1146# define EC_R_COORDINATES_OUT_OF_RANGE 146 1147# define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 1148# define EC_R_DECODE_ERROR 142 1149# define EC_R_DISCRIMINANT_IS_ZERO 118 1150# define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 1151# define EC_R_FIELD_TOO_LARGE 143 1152# define EC_R_GF2M_NOT_SUPPORTED 147 1153# define EC_R_GROUP2PKPARAMETERS_FAILURE 120 1154# define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 1155# define EC_R_INCOMPATIBLE_OBJECTS 101 1156# define EC_R_INVALID_ARGUMENT 112 1157# define EC_R_INVALID_COMPRESSED_POINT 110 1158# define EC_R_INVALID_COMPRESSION_BIT 109 1159# define EC_R_INVALID_CURVE 141 1160# define EC_R_INVALID_DIGEST_TYPE 138 1161# define EC_R_INVALID_ENCODING 102 1162# define EC_R_INVALID_FIELD 103 1163# define EC_R_INVALID_FORM 104 1164# define EC_R_INVALID_GROUP_ORDER 122 1165# define EC_R_INVALID_PENTANOMIAL_BASIS 132 1166# define EC_R_INVALID_PRIVATE_KEY 123 1167# define EC_R_INVALID_TRINOMIAL_BASIS 137 1168# define EC_R_KEYS_NOT_SET 140 1169# define EC_R_MISSING_PARAMETERS 124 1170# define EC_R_MISSING_PRIVATE_KEY 125 1171# define EC_R_NOT_A_NIST_PRIME 135 1172# define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 1173# define EC_R_NOT_IMPLEMENTED 126 1174# define EC_R_NOT_INITIALIZED 111 1175# define EC_R_NO_FIELD_MOD 133 1176# define EC_R_NO_PARAMETERS_SET 139 1177# define EC_R_PASSED_NULL_PARAMETER 134 1178# define EC_R_PKPARAMETERS2GROUP_FAILURE 127 1179# define EC_R_POINT_AT_INFINITY 106 1180# define EC_R_POINT_IS_NOT_ON_CURVE 107 1181# define EC_R_SLOT_FULL 108 1182# define EC_R_UNDEFINED_GENERATOR 113 1183# define EC_R_UNDEFINED_ORDER 128 1184# define EC_R_UNKNOWN_GROUP 129 1185# define EC_R_UNKNOWN_ORDER 114 1186# define EC_R_UNSUPPORTED_FIELD 131 1187# define EC_R_WRONG_CURVE_PARAMETERS 145 1188# define EC_R_WRONG_ORDER 130 1189 1190#ifdef __cplusplus 1191} 1192#endif 1193#endif 1194