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 (at) 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 (at) cryptsoft.com). This product includes software written by Tim 59 * Hudson (tjh (at) 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 92 extern "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) */ 106 typedef 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; 116 117 118 typedef struct ec_method_st EC_METHOD; 119 120 typedef 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; 130 131 typedef 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 */ 142 const EC_METHOD *EC_GFp_simple_method(void); 143 144 /** Returns GFp methods using montgomery multiplication. 145 * \return EC_METHOD object 146 */ 147 const 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 */ 152 const EC_METHOD *EC_GFp_nist_method(void); 153 154 155 /********************************************************************/ 156 /* EC_METHOD for curves over GF(2^m) */ 157 /********************************************************************/ 158 159 /** Returns the basic GF2m ec method 160 * \return EC_METHOD object 161 */ 162 const EC_METHOD *EC_GF2m_simple_method(void); 163 164 165 /********************************************************************/ 166 /* EC_GROUP functions */ 167 /********************************************************************/ 168 169 /** Creates a new EC_GROUP object 170 * \param meth EC_METHOD to use 171 * \return newly created EC_GROUP object or NULL in case of an error. 172 */ 173 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth); 174 175 /** Frees a EC_GROUP object 176 * \param group EC_GROUP object to be freed. 177 */ 178 void EC_GROUP_free(EC_GROUP *group); 179 180 /** Clears and frees a EC_GROUP object 181 * \param group EC_GROUP object to be cleared and freed. 182 */ 183 void EC_GROUP_clear_free(EC_GROUP *group); 184 185 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD. 186 * \param dst destination EC_GROUP object 187 * \param src source EC_GROUP object 188 * \return 1 on success and 0 if an error occurred. 189 */ 190 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src); 191 192 /** Creates a new EC_GROUP object and copies the copies the content 193 * form src to the newly created EC_KEY object 194 * \param src source EC_GROUP object 195 * \return newly created EC_GROUP object or NULL in case of an error. 196 */ 197 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src); 198 199 /** Returns the EC_METHOD of the EC_GROUP object. 200 * \param group EC_GROUP object 201 * \return EC_METHOD used in this EC_GROUP object. 202 */ 203 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); 204 205 /** Returns the field type of the EC_METHOD. 206 * \param meth EC_METHOD object 207 * \return NID of the underlying field type OID. 208 */ 209 int EC_METHOD_get_field_type(const EC_METHOD *meth); 210 211 /** Sets the generator and it's order/cofactor of a EC_GROUP object. 212 * \param group EC_GROUP object 213 * \param generator EC_POINT object with the generator. 214 * \param order the order of the group generated by the generator. 215 * \param cofactor the index of the sub-group generated by the generator 216 * in the group of all points on the elliptic curve. 217 * \return 1 on success and 0 if an error occured 218 */ 219 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); 220 221 /** Returns the generator of a EC_GROUP object. 222 * \param group EC_GROUP object 223 * \return the currently used generator (possibly NULL). 224 */ 225 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); 226 227 /** Gets the order of a EC_GROUP 228 * \param group EC_GROUP object 229 * \param order BIGNUM to which the order is copied 230 * \param ctx BN_CTX object (optional) 231 * \return 1 on success and 0 if an error occured 232 */ 233 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx); 234 235 /** Gets the cofactor of a EC_GROUP 236 * \param group EC_GROUP object 237 * \param cofactor BIGNUM to which the cofactor is copied 238 * \param ctx BN_CTX object (optional) 239 * \return 1 on success and 0 if an error occured 240 */ 241 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx); 242 243 /** Sets the name of a EC_GROUP object 244 * \param group EC_GROUP object 245 * \param nid NID of the curve name OID 246 */ 247 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid); 248 249 /** Returns the curve name of a EC_GROUP object 250 * \param group EC_GROUP object 251 * \return NID of the curve name OID or 0 if not set. 252 */ 253 int EC_GROUP_get_curve_name(const EC_GROUP *group); 254 255 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); 256 int EC_GROUP_get_asn1_flag(const EC_GROUP *group); 257 258 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t); 259 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); 260 261 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *); 262 size_t EC_GROUP_get_seed_len(const EC_GROUP *); 263 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); 264 265 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b 266 * \param group EC_GROUP object 267 * \param p BIGNUM with the prime number 268 * \param a BIGNUM with parameter a of the equation 269 * \param b BIGNUM with parameter b of the equation 270 * \param ctx BN_CTX object (optional) 271 * \return 1 on success and 0 if an error occured 272 */ 273 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 274 275 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b 276 * \param group EC_GROUP object 277 * \param p BIGNUM for the prime number 278 * \param a BIGNUM for parameter a of the equation 279 * \param b BIGNUM for parameter b of the equation 280 * \param ctx BN_CTX object (optional) 281 * \return 1 on success and 0 if an error occured 282 */ 283 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); 284 285 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 286 * \param group EC_GROUP object 287 * \param p BIGNUM with the polynomial defining the underlying field 288 * \param a BIGNUM with parameter a of the equation 289 * \param b BIGNUM with parameter b of the equation 290 * \param ctx BN_CTX object (optional) 291 * \return 1 on success and 0 if an error occured 292 */ 293 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 294 295 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 296 * \param group EC_GROUP object 297 * \param p BIGNUM for the polynomial defining the underlying field 298 * \param a BIGNUM for parameter a of the equation 299 * \param b BIGNUM for parameter b of the equation 300 * \param ctx BN_CTX object (optional) 301 * \return 1 on success and 0 if an error occured 302 */ 303 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); 304 305 /** Returns the number of bits needed to represent a field element 306 * \param group EC_GROUP object 307 * \return number of bits needed to represent a field element 308 */ 309 int EC_GROUP_get_degree(const EC_GROUP *group); 310 311 /** Checks whether the parameter in the EC_GROUP define a valid ec group 312 * \param group EC_GROUP object 313 * \param ctx BN_CTX object (optional) 314 * \return 1 if group is a valid ec group and 0 otherwise 315 */ 316 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); 317 318 /** Checks whether the discriminant of the elliptic curve is zero or not 319 * \param group EC_GROUP object 320 * \param ctx BN_CTX object (optional) 321 * \return 1 if the discriminant is not zero and 0 otherwise 322 */ 323 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx); 324 325 /** Compares two EC_GROUP objects 326 * \param a first EC_GROUP object 327 * \param b second EC_GROUP object 328 * \param ctx BN_CTX object (optional) 329 * \return 0 if both groups are equal and 1 otherwise 330 */ 331 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx); 332 333 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() 334 * after choosing an appropriate EC_METHOD */ 335 336 /** Creates a new EC_GROUP object with the specified parameters defined 337 * over GFp (defined by the equation y^2 = x^3 + a*x + b) 338 * \param p BIGNUM with the prime number 339 * \param a BIGNUM with the parameter a of the equation 340 * \param b BIGNUM with the parameter b of the equation 341 * \param ctx BN_CTX object (optional) 342 * \return newly created EC_GROUP object with the specified parameters 343 */ 344 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 345 346 /** Creates a new EC_GROUP object with the specified parameters defined 347 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b) 348 * \param p BIGNUM with the polynomial defining the underlying field 349 * \param a BIGNUM with the parameter a of the equation 350 * \param b BIGNUM with the parameter b of the equation 351 * \param ctx BN_CTX object (optional) 352 * \return newly created EC_GROUP object with the specified parameters 353 */ 354 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 355 356 /** Creates a EC_GROUP object with a curve specified by a NID 357 * \param nid NID of the OID of the curve name 358 * \return newly created EC_GROUP object with specified curve or NULL 359 * if an error occurred 360 */ 361 EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 362 363 364 /********************************************************************/ 365 /* handling of internal curves */ 366 /********************************************************************/ 367 368 typedef struct { 369 int nid; 370 const char *comment; 371 } EC_builtin_curve; 372 373 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number 374 * of all available curves or zero if a error occurred. 375 * In case r ist not zero nitems EC_builtin_curve structures 376 * are filled with the data of the first nitems internal groups */ 377 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); 378 379 380 /********************************************************************/ 381 /* EC_POINT functions */ 382 /********************************************************************/ 383 384 /** Creates a new EC_POINT object for the specified EC_GROUP 385 * \param group EC_GROUP the underlying EC_GROUP object 386 * \return newly created EC_POINT object or NULL if an error occurred 387 */ 388 EC_POINT *EC_POINT_new(const EC_GROUP *group); 389 390 /** Frees a EC_POINT object 391 * \param point EC_POINT object to be freed 392 */ 393 void EC_POINT_free(EC_POINT *point); 394 395 /** Clears and frees a EC_POINT object 396 * \param point EC_POINT object to be cleared and freed 397 */ 398 void EC_POINT_clear_free(EC_POINT *point); 399 400 /** Copies EC_POINT object 401 * \param dst destination EC_POINT object 402 * \param src source EC_POINT object 403 * \return 1 on success and 0 if an error occured 404 */ 405 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src); 406 407 /** Creates a new EC_POINT object and copies the content of the supplied 408 * EC_POINT 409 * \param src source EC_POINT object 410 * \param group underlying the EC_GROUP object 411 * \return newly created EC_POINT object or NULL if an error occurred 412 */ 413 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group); 414 415 /** Returns the EC_METHOD used in EC_POINT object 416 * \param point EC_POINT object 417 * \return the EC_METHOD used 418 */ 419 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point); 420 421 /** Sets a point to infinity (neutral element) 422 * \param group underlying EC_GROUP object 423 * \param point EC_POINT to set to infinity 424 * \return 1 on success and 0 if an error occured 425 */ 426 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point); 427 428 /** Sets the jacobian projective coordinates of a EC_POINT over GFp 429 * \param group underlying EC_GROUP object 430 * \param p EC_POINT object 431 * \param x BIGNUM with the x-coordinate 432 * \param y BIGNUM with the y-coordinate 433 * \param z BIGNUM with the z-coordinate 434 * \param ctx BN_CTX object (optional) 435 * \return 1 on success and 0 if an error occured 436 */ 437 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 438 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx); 439 440 /** Gets the jacobian projective coordinates of a EC_POINT over GFp 441 * \param group underlying EC_GROUP object 442 * \param p EC_POINT object 443 * \param x BIGNUM for the x-coordinate 444 * \param y BIGNUM for the y-coordinate 445 * \param z BIGNUM for the z-coordinate 446 * \param ctx BN_CTX object (optional) 447 * \return 1 on success and 0 if an error occured 448 */ 449 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, 450 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx); 451 452 /** Sets the affine coordinates of a EC_POINT over GFp 453 * \param group underlying EC_GROUP object 454 * \param p EC_POINT object 455 * \param x BIGNUM with the x-coordinate 456 * \param y BIGNUM with the y-coordinate 457 * \param ctx BN_CTX object (optional) 458 * \return 1 on success and 0 if an error occured 459 */ 460 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 461 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); 462 463 /** Gets the affine coordinates of a EC_POINT over GFp 464 * \param group underlying EC_GROUP object 465 * \param p EC_POINT object 466 * \param x BIGNUM for the x-coordinate 467 * \param y BIGNUM for the y-coordinate 468 * \param ctx BN_CTX object (optional) 469 * \return 1 on success and 0 if an error occured 470 */ 471 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, 472 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 473 474 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp 475 * \param group underlying EC_GROUP object 476 * \param p EC_POINT object 477 * \param x BIGNUM with x-coordinate 478 * \param y_bit integer with the y-Bit (either 0 or 1) 479 * \param ctx BN_CTX object (optional) 480 * \return 1 on success and 0 if an error occured 481 */ 482 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 483 const BIGNUM *x, int y_bit, BN_CTX *ctx); 484 485 /** Sets the affine coordinates of a EC_POINT over GF2m 486 * \param group underlying EC_GROUP object 487 * \param p EC_POINT object 488 * \param x BIGNUM with the x-coordinate 489 * \param y BIGNUM with the y-coordinate 490 * \param ctx BN_CTX object (optional) 491 * \return 1 on success and 0 if an error occured 492 */ 493 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, 494 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); 495 496 /** Gets the affine coordinates of a EC_POINT over GF2m 497 * \param group underlying EC_GROUP object 498 * \param p EC_POINT object 499 * \param x BIGNUM for the x-coordinate 500 * \param y BIGNUM for the y-coordinate 501 * \param ctx BN_CTX object (optional) 502 * \return 1 on success and 0 if an error occured 503 */ 504 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, 505 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 506 507 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m 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 */ 515 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, 516 const BIGNUM *x, int y_bit, BN_CTX *ctx); 517 518 /** Encodes a EC_POINT object to a octet string 519 * \param group underlying EC_GROUP object 520 * \param p EC_POINT object 521 * \param form point conversion form 522 * \param buf memory buffer for the result. If NULL the function returns 523 * required buffer size. 524 * \param len length of the memory buffer 525 * \param ctx BN_CTX object (optional) 526 * \return the length of the encoded octet string or 0 if an error occurred 527 */ 528 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p, 529 point_conversion_form_t form, 530 unsigned char *buf, size_t len, BN_CTX *ctx); 531 532 /** Decodes a EC_POINT from a octet string 533 * \param group underlying EC_GROUP object 534 * \param p EC_POINT object 535 * \param buf memory buffer with the encoded ec point 536 * \param len length of the encoded ec point 537 * \param ctx BN_CTX object (optional) 538 * \return 1 on success and 0 if an error occured 539 */ 540 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p, 541 const unsigned char *buf, size_t len, BN_CTX *ctx); 542 543 /* other interfaces to point2oct/oct2point: */ 544 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, 545 point_conversion_form_t form, BIGNUM *, BN_CTX *); 546 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, 547 EC_POINT *, BN_CTX *); 548 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, 549 point_conversion_form_t form, BN_CTX *); 550 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, 551 EC_POINT *, BN_CTX *); 552 553 554 /********************************************************************/ 555 /* functions for doing EC_POINT arithmetic */ 556 /********************************************************************/ 557 558 /** Computes the sum of two EC_POINT 559 * \param group underlying EC_GROUP object 560 * \param r EC_POINT object for the result (r = a + b) 561 * \param a EC_POINT object with the first summand 562 * \param b EC_POINT object with the second summand 563 * \param ctx BN_CTX object (optional) 564 * \return 1 on success and 0 if an error occured 565 */ 566 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); 567 568 /** Computes the double of a EC_POINT 569 * \param group underlying EC_GROUP object 570 * \param r EC_POINT object for the result (r = 2 * a) 571 * \param a EC_POINT object 572 * \param ctx BN_CTX object (optional) 573 * \return 1 on success and 0 if an error occured 574 */ 575 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx); 576 577 /** Computes the inverse of a EC_POINT 578 * \param group underlying EC_GROUP object 579 * \param a EC_POINT object to be inverted (it's used for the result as well) 580 * \param ctx BN_CTX object (optional) 581 * \return 1 on success and 0 if an error occured 582 */ 583 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx); 584 585 /** Checks whether the point is the neutral element of the group 586 * \param group the underlying EC_GROUP object 587 * \param p EC_POINT object 588 * \return 1 if the point is the neutral element and 0 otherwise 589 */ 590 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p); 591 592 /** Checks whether the point is on the curve 593 * \param group underlying EC_GROUP object 594 * \param point EC_POINT object to check 595 * \param ctx BN_CTX object (optional) 596 * \return 1 if point if on the curve and 0 otherwise 597 */ 598 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx); 599 600 /** Compares two EC_POINTs 601 * \param group underlying EC_GROUP object 602 * \param a first EC_POINT object 603 * \param b second EC_POINT object 604 * \param ctx BN_CTX object (optional) 605 * \return 0 if both points are equal and a value != 0 otherwise 606 */ 607 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); 608 609 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 610 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 611 612 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i] 613 * \param group underlying EC_GROUP object 614 * \param r EC_POINT object for the result 615 * \param n BIGNUM with the multiplier for the group generator (optional) 616 * \param num number futher summands 617 * \param p array of size num of EC_POINT objects 618 * \param m array of size num of BIGNUM objects 619 * \param ctx BN_CTX object (optional) 620 * \return 1 on success and 0 if an error occured 621 */ 622 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx); 623 624 /** Computes r = generator * n + q * m 625 * \param group underlying EC_GROUP object 626 * \param r EC_POINT object for the result 627 * \param n BIGNUM with the multiplier for the group generator (optional) 628 * \param q EC_POINT object with the first factor of the second summand 629 * \param m BIGNUM with the second factor of the second summand 630 * \param ctx BN_CTX object (optional) 631 * \return 1 on success and 0 if an error occured 632 */ 633 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx); 634 635 /** Stores multiples of generator for faster point multiplication 636 * \param group EC_GROUP object 637 * \param ctx BN_CTX object (optional) 638 * \return 1 on success and 0 if an error occured 639 */ 640 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 641 642 /** Reports whether a precomputation has been done 643 * \param group EC_GROUP object 644 * \return 1 if a pre-computation has been done and 0 otherwise 645 */ 646 int EC_GROUP_have_precompute_mult(const EC_GROUP *group); 647 648 649 /********************************************************************/ 650 /* ASN1 stuff */ 651 /********************************************************************/ 652 653 /* EC_GROUP_get_basis_type() returns the NID of the basis type 654 * used to represent the field elements */ 655 int EC_GROUP_get_basis_type(const EC_GROUP *); 656 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); 657 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, 658 unsigned int *k2, unsigned int *k3); 659 660 #define OPENSSL_EC_NAMED_CURVE 0x001 661 662 typedef struct ecpk_parameters_st ECPKPARAMETERS; 663 664 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); 665 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); 666 667 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) 668 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) 669 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ 670 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) 671 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ 672 (unsigned char *)(x)) 673 674 #ifndef OPENSSL_NO_BIO 675 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); 676 #endif 677 #ifndef OPENSSL_NO_FP_API 678 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); 679 #endif 680 681 682 /********************************************************************/ 683 /* EC_KEY functions */ 684 /********************************************************************/ 685 686 typedef struct ec_key_st EC_KEY; 687 688 /* some values for the encoding_flag */ 689 #define EC_PKEY_NO_PARAMETERS 0x001 690 #define EC_PKEY_NO_PUBKEY 0x002 691 692 /** Creates a new EC_KEY object. 693 * \return EC_KEY object or NULL if an error occurred. 694 */ 695 EC_KEY *EC_KEY_new(void); 696 697 /** Creates a new EC_KEY object using a named curve as underlying 698 * EC_GROUP object. 699 * \param nid NID of the named curve. 700 * \return EC_KEY object or NULL if an error occurred. 701 */ 702 EC_KEY *EC_KEY_new_by_curve_name(int nid); 703 704 /** Frees a EC_KEY object. 705 * \param key EC_KEY object to be freed. 706 */ 707 void EC_KEY_free(EC_KEY *key); 708 709 /** Copies a EC_KEY object. 710 * \param dst destination EC_KEY object 711 * \param src src EC_KEY object 712 * \return dst or NULL if an error occurred. 713 */ 714 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src); 715 716 /** Creates a new EC_KEY object and copies the content from src to it. 717 * \param src the source EC_KEY object 718 * \return newly created EC_KEY object or NULL if an error occurred. 719 */ 720 EC_KEY *EC_KEY_dup(const EC_KEY *src); 721 722 /** Increases the internal reference count of a EC_KEY object. 723 * \param key EC_KEY object 724 * \return 1 on success and 0 if an error occurred. 725 */ 726 int EC_KEY_up_ref(EC_KEY *key); 727 728 /** Returns the EC_GROUP object of a EC_KEY object 729 * \param key EC_KEY object 730 * \return the EC_GROUP object (possibly NULL). 731 */ 732 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key); 733 734 /** Sets the EC_GROUP of a EC_KEY object. 735 * \param key EC_KEY object 736 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY 737 * object will use an own copy of the EC_GROUP). 738 * \return 1 on success and 0 if an error occurred. 739 */ 740 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group); 741 742 /** Returns the private key of a EC_KEY object. 743 * \param key EC_KEY object 744 * \return a BIGNUM with the private key (possibly NULL). 745 */ 746 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key); 747 748 /** Sets the private key of a EC_KEY object. 749 * \param key EC_KEY object 750 * \param prv BIGNUM with the private key (note: the EC_KEY object 751 * will use an own copy of the BIGNUM). 752 * \return 1 on success and 0 if an error occurred. 753 */ 754 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv); 755 756 /** Returns the public key of a EC_KEY object. 757 * \param key the EC_KEY object 758 * \return a EC_POINT object with the public key (possibly NULL) 759 */ 760 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key); 761 762 /** Sets the public key of a EC_KEY object. 763 * \param key EC_KEY object 764 * \param pub EC_POINT object with the public key (note: the EC_KEY object 765 * will use an own copy of the EC_POINT object). 766 * \return 1 on success and 0 if an error occurred. 767 */ 768 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub); 769 770 unsigned EC_KEY_get_enc_flags(const EC_KEY *key); 771 void EC_KEY_set_enc_flags(EC_KEY *, unsigned int); 772 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *); 773 void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t); 774 /* functions to set/get method specific data */ 775 void *EC_KEY_get_key_method_data(EC_KEY *, 776 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 777 void EC_KEY_insert_key_method_data(EC_KEY *, void *data, 778 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 779 /* wrapper functions for the underlying EC_GROUP object */ 780 void EC_KEY_set_asn1_flag(EC_KEY *, int); 781 782 /** Creates a table of pre-computed multiples of the generator to 783 * accelerate further EC_KEY operations. 784 * \param key EC_KEY object 785 * \param ctx BN_CTX object (optional) 786 * \return 1 on success and 0 if an error occurred. 787 */ 788 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx); 789 790 /** Creates a new ec private (and optional a new public) key. 791 * \param key EC_KEY object 792 * \return 1 on success and 0 if an error occurred. 793 */ 794 int EC_KEY_generate_key(EC_KEY *key); 795 796 /** Verifies that a private and/or public key is valid. 797 * \param key the EC_KEY object 798 * \return 1 on success and 0 otherwise. 799 */ 800 int EC_KEY_check_key(const EC_KEY *key); 801 802 803 /********************************************************************/ 804 /* de- and encoding functions for SEC1 ECPrivateKey */ 805 /********************************************************************/ 806 807 /** Decodes a private key from a memory buffer. 808 * \param key a pointer to a EC_KEY object which should be used (or NULL) 809 * \param in pointer to memory with the DER encoded private key 810 * \param len length of the DER encoded private key 811 * \return the decoded private key or NULL if an error occurred. 812 */ 813 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len); 814 815 /** Encodes a private key object and stores the result in a buffer. 816 * \param key the EC_KEY object to encode 817 * \param out the buffer for the result (if NULL the function returns number 818 * of bytes needed). 819 * \return 1 on success and 0 if an error occurred. 820 */ 821 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out); 822 823 824 /********************************************************************/ 825 /* de- and encoding functions for EC parameters */ 826 /********************************************************************/ 827 828 /** Decodes ec parameter from a memory buffer. 829 * \param key a pointer to a EC_KEY object which should be used (or NULL) 830 * \param in pointer to memory with the DER encoded ec parameters 831 * \param len length of the DER encoded ec parameters 832 * \return a EC_KEY object with the decoded parameters or NULL if an error 833 * occurred. 834 */ 835 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len); 836 837 /** Encodes ec parameter and stores the result in a buffer. 838 * \param key the EC_KEY object with ec paramters to encode 839 * \param out the buffer for the result (if NULL the function returns number 840 * of bytes needed). 841 * \return 1 on success and 0 if an error occurred. 842 */ 843 int i2d_ECParameters(EC_KEY *key, unsigned char **out); 844 845 846 /********************************************************************/ 847 /* de- and encoding functions for EC public key */ 848 /* (octet string, not DER -- hence 'o2i' and 'i2o') */ 849 /********************************************************************/ 850 851 /** Decodes a ec public key from a octet string. 852 * \param key a pointer to a EC_KEY object which should be used 853 * \param in memory buffer with the encoded public key 854 * \param len length of the encoded public key 855 * \return EC_KEY object with decoded public key or NULL if an error 856 * occurred. 857 */ 858 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len); 859 860 /** Encodes a ec public key in an octet string. 861 * \param key the EC_KEY object with the public key 862 * \param out the buffer for the result (if NULL the function returns number 863 * of bytes needed). 864 * \return 1 on success and 0 if an error occurred 865 */ 866 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out); 867 868 #ifndef OPENSSL_NO_BIO 869 /** Prints out the ec parameters on human readable form. 870 * \param bp BIO object to which the information is printed 871 * \param key EC_KEY object 872 * \return 1 on success and 0 if an error occurred 873 */ 874 int ECParameters_print(BIO *bp, const EC_KEY *key); 875 876 /** Prints out the contents of a EC_KEY object 877 * \param bp BIO object to which the information is printed 878 * \param key EC_KEY object 879 * \param off line offset 880 * \return 1 on success and 0 if an error occurred 881 */ 882 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off); 883 884 #endif 885 #ifndef OPENSSL_NO_FP_API 886 /** Prints out the ec parameters on human readable form. 887 * \param fp file descriptor to which the information is printed 888 * \param key EC_KEY object 889 * \return 1 on success and 0 if an error occurred 890 */ 891 int ECParameters_print_fp(FILE *fp, const EC_KEY *key); 892 893 /** Prints out the contents of a EC_KEY object 894 * \param fp file descriptor to which the information is printed 895 * \param key EC_KEY object 896 * \param off line offset 897 * \return 1 on success and 0 if an error occurred 898 */ 899 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off); 900 901 #endif 902 903 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 904 905 #ifndef __cplusplus 906 #if defined(__SUNPRO_C) 907 # if __SUNPRO_C >= 0x520 908 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 909 # endif 910 # endif 911 #endif 912 913 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \ 914 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \ 915 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL) 916 917 918 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1) 919 920 /* BEGIN ERROR CODES */ 921 /* The following lines are auto generated by the script mkerr.pl. Any changes 922 * made after this point may be overwritten when the script is next run. 923 */ 924 void ERR_load_EC_strings(void); 925 926 /* Error codes for the EC functions. */ 927 928 /* Function codes. */ 929 #define EC_F_COMPUTE_WNAF 143 930 #define EC_F_D2I_ECPARAMETERS 144 931 #define EC_F_D2I_ECPKPARAMETERS 145 932 #define EC_F_D2I_ECPRIVATEKEY 146 933 #define EC_F_DO_EC_KEY_PRINT 221 934 #define EC_F_ECKEY_PARAM2TYPE 223 935 #define EC_F_ECKEY_PARAM_DECODE 212 936 #define EC_F_ECKEY_PRIV_DECODE 213 937 #define EC_F_ECKEY_PRIV_ENCODE 214 938 #define EC_F_ECKEY_PUB_DECODE 215 939 #define EC_F_ECKEY_PUB_ENCODE 216 940 #define EC_F_ECKEY_TYPE2PARAM 220 941 #define EC_F_ECPARAMETERS_PRINT 147 942 #define EC_F_ECPARAMETERS_PRINT_FP 148 943 #define EC_F_ECPKPARAMETERS_PRINT 149 944 #define EC_F_ECPKPARAMETERS_PRINT_FP 150 945 #define EC_F_ECP_NIST_MOD_192 203 946 #define EC_F_ECP_NIST_MOD_224 204 947 #define EC_F_ECP_NIST_MOD_256 205 948 #define EC_F_ECP_NIST_MOD_521 206 949 #define EC_F_EC_ASN1_GROUP2CURVE 153 950 #define EC_F_EC_ASN1_GROUP2FIELDID 154 951 #define EC_F_EC_ASN1_GROUP2PARAMETERS 155 952 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 953 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157 954 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 955 #define EC_F_EC_EX_DATA_SET_DATA 211 956 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 957 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 958 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 959 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 960 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 961 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 962 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 963 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 964 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133 965 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 966 #define EC_F_EC_GFP_MONT_FIELD_MUL 131 967 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 968 #define EC_F_EC_GFP_MONT_FIELD_SQR 132 969 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 970 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 971 #define EC_F_EC_GFP_NIST_FIELD_MUL 200 972 #define EC_F_EC_GFP_NIST_FIELD_SQR 201 973 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 974 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 975 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 976 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 977 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 978 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 979 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 980 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 981 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 982 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 983 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 984 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 985 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 986 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 987 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 988 #define EC_F_EC_GROUP_CHECK 170 989 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 990 #define EC_F_EC_GROUP_COPY 106 991 #define EC_F_EC_GROUP_GET0_GENERATOR 139 992 #define EC_F_EC_GROUP_GET_COFACTOR 140 993 #define EC_F_EC_GROUP_GET_CURVE_GF2M 172 994 #define EC_F_EC_GROUP_GET_CURVE_GFP 130 995 #define EC_F_EC_GROUP_GET_DEGREE 173 996 #define EC_F_EC_GROUP_GET_ORDER 141 997 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 998 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 999 #define EC_F_EC_GROUP_NEW 108 1000 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 1001 #define EC_F_EC_GROUP_NEW_FROM_DATA 175 1002 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 1003 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176 1004 #define EC_F_EC_GROUP_SET_CURVE_GFP 109 1005 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110 1006 #define EC_F_EC_GROUP_SET_GENERATOR 111 1007 #define EC_F_EC_KEY_CHECK_KEY 177 1008 #define EC_F_EC_KEY_COPY 178 1009 #define EC_F_EC_KEY_GENERATE_KEY 179 1010 #define EC_F_EC_KEY_NEW 182 1011 #define EC_F_EC_KEY_PRINT 180 1012 #define EC_F_EC_KEY_PRINT_FP 181 1013 #define EC_F_EC_POINTS_MAKE_AFFINE 136 1014 #define EC_F_EC_POINT_ADD 112 1015 #define EC_F_EC_POINT_CMP 113 1016 #define EC_F_EC_POINT_COPY 114 1017 #define EC_F_EC_POINT_DBL 115 1018 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 1019 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 1020 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 1021 #define EC_F_EC_POINT_INVERT 210 1022 #define EC_F_EC_POINT_IS_AT_INFINITY 118 1023 #define EC_F_EC_POINT_IS_ON_CURVE 119 1024 #define EC_F_EC_POINT_MAKE_AFFINE 120 1025 #define EC_F_EC_POINT_MUL 184 1026 #define EC_F_EC_POINT_NEW 121 1027 #define EC_F_EC_POINT_OCT2POINT 122 1028 #define EC_F_EC_POINT_POINT2OCT 123 1029 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 1030 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 1031 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 1032 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 1033 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 1034 #define EC_F_EC_POINT_SET_TO_INFINITY 127 1035 #define EC_F_EC_PRE_COMP_DUP 207 1036 #define EC_F_EC_PRE_COMP_NEW 196 1037 #define EC_F_EC_WNAF_MUL 187 1038 #define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 1039 #define EC_F_I2D_ECPARAMETERS 190 1040 #define EC_F_I2D_ECPKPARAMETERS 191 1041 #define EC_F_I2D_ECPRIVATEKEY 192 1042 #define EC_F_I2O_ECPUBLICKEY 151 1043 #define EC_F_O2I_ECPUBLICKEY 152 1044 #define EC_F_OLD_EC_PRIV_DECODE 222 1045 #define EC_F_PKEY_EC_CTRL 197 1046 #define EC_F_PKEY_EC_CTRL_STR 198 1047 #define EC_F_PKEY_EC_DERIVE 217 1048 #define EC_F_PKEY_EC_KEYGEN 199 1049 #define EC_F_PKEY_EC_PARAMGEN 219 1050 #define EC_F_PKEY_EC_SIGN 218 1051 1052 /* Reason codes. */ 1053 #define EC_R_ASN1_ERROR 115 1054 #define EC_R_ASN1_UNKNOWN_FIELD 116 1055 #define EC_R_BUFFER_TOO_SMALL 100 1056 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 1057 #define EC_R_DECODE_ERROR 142 1058 #define EC_R_DISCRIMINANT_IS_ZERO 118 1059 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 1060 #define EC_R_FIELD_TOO_LARGE 143 1061 #define EC_R_GROUP2PKPARAMETERS_FAILURE 120 1062 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 1063 #define EC_R_INCOMPATIBLE_OBJECTS 101 1064 #define EC_R_INVALID_ARGUMENT 112 1065 #define EC_R_INVALID_COMPRESSED_POINT 110 1066 #define EC_R_INVALID_COMPRESSION_BIT 109 1067 #define EC_R_INVALID_CURVE 141 1068 #define EC_R_INVALID_DIGEST_TYPE 138 1069 #define EC_R_INVALID_ENCODING 102 1070 #define EC_R_INVALID_FIELD 103 1071 #define EC_R_INVALID_FORM 104 1072 #define EC_R_INVALID_GROUP_ORDER 122 1073 #define EC_R_INVALID_PENTANOMIAL_BASIS 132 1074 #define EC_R_INVALID_PRIVATE_KEY 123 1075 #define EC_R_INVALID_TRINOMIAL_BASIS 137 1076 #define EC_R_KEYS_NOT_SET 140 1077 #define EC_R_MISSING_PARAMETERS 124 1078 #define EC_R_MISSING_PRIVATE_KEY 125 1079 #define EC_R_NOT_A_NIST_PRIME 135 1080 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 1081 #define EC_R_NOT_IMPLEMENTED 126 1082 #define EC_R_NOT_INITIALIZED 111 1083 #define EC_R_NO_FIELD_MOD 133 1084 #define EC_R_NO_PARAMETERS_SET 139 1085 #define EC_R_PASSED_NULL_PARAMETER 134 1086 #define EC_R_PKPARAMETERS2GROUP_FAILURE 127 1087 #define EC_R_POINT_AT_INFINITY 106 1088 #define EC_R_POINT_IS_NOT_ON_CURVE 107 1089 #define EC_R_SLOT_FULL 108 1090 #define EC_R_UNDEFINED_GENERATOR 113 1091 #define EC_R_UNDEFINED_ORDER 128 1092 #define EC_R_UNKNOWN_GROUP 129 1093 #define EC_R_UNKNOWN_ORDER 114 1094 #define EC_R_UNSUPPORTED_FIELD 131 1095 #define EC_R_WRONG_ORDER 130 1096 1097 #ifdef __cplusplus 1098 } 1099 #endif 1100 #endif 1101