1 /* $OpenBSD: ec.h,v 1.9 2014/06/12 15:49:29 deraadt Exp $ */ 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 #ifndef OPENSSL_NO_DEPRECATED 87 #include <openssl/bn.h> 88 #endif 89 90 #ifdef __cplusplus 91 extern "C" { 92 #elif defined(__SUNPRO_C) 93 # if __SUNPRO_C >= 0x520 94 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 95 # endif 96 #endif 97 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) */ 105 typedef 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; 115 116 117 typedef struct ec_method_st EC_METHOD; 118 119 typedef struct ec_group_st 120 /* 121 EC_METHOD *meth; 122 -- field definition 123 -- curve coefficients 124 -- optional generator with associated information (order, cofactor) 125 -- optional extra data (precomputed table for fast computation of multiples of generator) 126 -- ASN1 stuff 127 */ 128 EC_GROUP; 129 130 typedef struct ec_point_st EC_POINT; 131 132 133 /********************************************************************/ 134 /* EC_METHODs for curves over GF(p) */ 135 /********************************************************************/ 136 137 /** Returns the basic GFp ec methods which provides the basis for the 138 * optimized methods. 139 * \return EC_METHOD object 140 */ 141 const EC_METHOD *EC_GFp_simple_method(void); 142 143 /** Returns GFp methods using montgomery multiplication. 144 * \return EC_METHOD object 145 */ 146 const EC_METHOD *EC_GFp_mont_method(void); 147 148 /** Returns GFp methods using optimized methods for NIST recommended curves 149 * \return EC_METHOD object 150 */ 151 const EC_METHOD *EC_GFp_nist_method(void); 152 153 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 154 /** Returns 64-bit optimized methods for nistp224 155 * \return EC_METHOD object 156 */ 157 const EC_METHOD *EC_GFp_nistp224_method(void); 158 159 /** Returns 64-bit optimized methods for nistp256 160 * \return EC_METHOD object 161 */ 162 const EC_METHOD *EC_GFp_nistp256_method(void); 163 164 /** Returns 64-bit optimized methods for nistp521 165 * \return EC_METHOD object 166 */ 167 const EC_METHOD *EC_GFp_nistp521_method(void); 168 #endif 169 170 #ifndef OPENSSL_NO_EC2M 171 /********************************************************************/ 172 /* EC_METHOD for curves over GF(2^m) */ 173 /********************************************************************/ 174 175 /** Returns the basic GF2m ec method 176 * \return EC_METHOD object 177 */ 178 const EC_METHOD *EC_GF2m_simple_method(void); 179 180 #endif 181 182 183 /********************************************************************/ 184 /* EC_GROUP functions */ 185 /********************************************************************/ 186 187 /** Creates a new EC_GROUP object 188 * \param meth EC_METHOD to use 189 * \return newly created EC_GROUP object or NULL in case of an error. 190 */ 191 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth); 192 193 /** Frees a EC_GROUP object 194 * \param group EC_GROUP object to be freed. 195 */ 196 void EC_GROUP_free(EC_GROUP *group); 197 198 /** Clears and frees a EC_GROUP object 199 * \param group EC_GROUP object to be cleared and freed. 200 */ 201 void EC_GROUP_clear_free(EC_GROUP *group); 202 203 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD. 204 * \param dst destination EC_GROUP object 205 * \param src source EC_GROUP object 206 * \return 1 on success and 0 if an error occurred. 207 */ 208 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src); 209 210 /** Creates a new EC_GROUP object and copies the copies the content 211 * form src to the newly created EC_KEY object 212 * \param src source EC_GROUP object 213 * \return newly created EC_GROUP object or NULL in case of an error. 214 */ 215 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src); 216 217 /** Returns the EC_METHOD of the EC_GROUP object. 218 * \param group EC_GROUP object 219 * \return EC_METHOD used in this EC_GROUP object. 220 */ 221 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); 222 223 /** Returns the field type of the EC_METHOD. 224 * \param meth EC_METHOD object 225 * \return NID of the underlying field type OID. 226 */ 227 int EC_METHOD_get_field_type(const EC_METHOD *meth); 228 229 /** Sets the generator and it's order/cofactor of a EC_GROUP object. 230 * \param group EC_GROUP object 231 * \param generator EC_POINT object with the generator. 232 * \param order the order of the group generated by the generator. 233 * \param cofactor the index of the sub-group generated by the generator 234 * in the group of all points on the elliptic curve. 235 * \return 1 on success and 0 if an error occured 236 */ 237 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); 238 239 /** Returns the generator of a EC_GROUP object. 240 * \param group EC_GROUP object 241 * \return the currently used generator (possibly NULL). 242 */ 243 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); 244 245 /** Gets the order of a EC_GROUP 246 * \param group EC_GROUP object 247 * \param order BIGNUM to which the order is copied 248 * \param ctx BN_CTX object (optional) 249 * \return 1 on success and 0 if an error occured 250 */ 251 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx); 252 253 /** Gets the cofactor of a EC_GROUP 254 * \param group EC_GROUP object 255 * \param cofactor BIGNUM to which the cofactor is copied 256 * \param ctx BN_CTX object (optional) 257 * \return 1 on success and 0 if an error occured 258 */ 259 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx); 260 261 /** Sets the name of a EC_GROUP object 262 * \param group EC_GROUP object 263 * \param nid NID of the curve name OID 264 */ 265 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid); 266 267 /** Returns the curve name of a EC_GROUP object 268 * \param group EC_GROUP object 269 * \return NID of the curve name OID or 0 if not set. 270 */ 271 int EC_GROUP_get_curve_name(const EC_GROUP *group); 272 273 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); 274 int EC_GROUP_get_asn1_flag(const EC_GROUP *group); 275 276 void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form); 277 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); 278 279 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x); 280 size_t EC_GROUP_get_seed_len(const EC_GROUP *); 281 size_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 */ 291 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 292 293 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b 294 * \param group EC_GROUP object 295 * \param p BIGNUM for the prime number 296 * \param a BIGNUM for parameter a of the equation 297 * \param b BIGNUM for parameter b of the equation 298 * \param ctx BN_CTX object (optional) 299 * \return 1 on success and 0 if an error occured 300 */ 301 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); 302 303 #ifndef OPENSSL_NO_EC2M 304 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 305 * \param group EC_GROUP object 306 * \param p BIGNUM with the polynomial defining the underlying field 307 * \param a BIGNUM with parameter a of the equation 308 * \param b BIGNUM with parameter b of the equation 309 * \param ctx BN_CTX object (optional) 310 * \return 1 on success and 0 if an error occured 311 */ 312 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 313 314 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b 315 * \param group EC_GROUP object 316 * \param p BIGNUM for the polynomial defining the underlying field 317 * \param a BIGNUM for parameter a of the equation 318 * \param b BIGNUM for parameter b of the equation 319 * \param ctx BN_CTX object (optional) 320 * \return 1 on success and 0 if an error occured 321 */ 322 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); 323 #endif 324 /** Returns the number of bits needed to represent a field element 325 * \param group EC_GROUP object 326 * \return number of bits needed to represent a field element 327 */ 328 int EC_GROUP_get_degree(const EC_GROUP *group); 329 330 /** Checks whether the parameter in the EC_GROUP define a valid ec group 331 * \param group EC_GROUP object 332 * \param ctx BN_CTX object (optional) 333 * \return 1 if group is a valid ec group and 0 otherwise 334 */ 335 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); 336 337 /** Checks whether the discriminant of the elliptic curve is zero or not 338 * \param group EC_GROUP object 339 * \param ctx BN_CTX object (optional) 340 * \return 1 if the discriminant is not zero and 0 otherwise 341 */ 342 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx); 343 344 /** Compares two EC_GROUP objects 345 * \param a first EC_GROUP object 346 * \param b second EC_GROUP object 347 * \param ctx BN_CTX object (optional) 348 * \return 0 if both groups are equal and 1 otherwise 349 */ 350 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx); 351 352 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() 353 * after choosing an appropriate EC_METHOD */ 354 355 /** Creates a new EC_GROUP object with the specified parameters defined 356 * over GFp (defined by the equation y^2 = x^3 + a*x + b) 357 * \param p BIGNUM with the prime number 358 * \param a BIGNUM with the parameter a of the equation 359 * \param b BIGNUM with the parameter b of the equation 360 * \param ctx BN_CTX object (optional) 361 * \return newly created EC_GROUP object with the specified parameters 362 */ 363 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 364 #ifndef OPENSSL_NO_EC2M 365 /** Creates a new EC_GROUP object with the specified parameters defined 366 * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b) 367 * \param p BIGNUM with the polynomial defining the underlying field 368 * \param a BIGNUM with the parameter a of the equation 369 * \param b BIGNUM with the parameter b of the equation 370 * \param ctx BN_CTX object (optional) 371 * \return newly created EC_GROUP object with the specified parameters 372 */ 373 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); 374 #endif 375 /** Creates a EC_GROUP object with a curve specified by a NID 376 * \param nid NID of the OID of the curve name 377 * \return newly created EC_GROUP object with specified curve or NULL 378 * if an error occurred 379 */ 380 EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 381 382 383 /********************************************************************/ 384 /* handling of internal curves */ 385 /********************************************************************/ 386 387 typedef struct { 388 int nid; 389 const char *comment; 390 } EC_builtin_curve; 391 392 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number 393 * of all available curves or zero if a error occurred. 394 * In case r ist not zero nitems EC_builtin_curve structures 395 * are filled with the data of the first nitems internal groups */ 396 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); 397 398 399 /********************************************************************/ 400 /* EC_POINT functions */ 401 /********************************************************************/ 402 403 /** Creates a new EC_POINT object for the specified EC_GROUP 404 * \param group EC_GROUP the underlying EC_GROUP object 405 * \return newly created EC_POINT object or NULL if an error occurred 406 */ 407 EC_POINT *EC_POINT_new(const EC_GROUP *group); 408 409 /** Frees a EC_POINT object 410 * \param point EC_POINT object to be freed 411 */ 412 void EC_POINT_free(EC_POINT *point); 413 414 /** Clears and frees a EC_POINT object 415 * \param point EC_POINT object to be cleared and freed 416 */ 417 void EC_POINT_clear_free(EC_POINT *point); 418 419 /** Copies EC_POINT object 420 * \param dst destination EC_POINT object 421 * \param src source EC_POINT object 422 * \return 1 on success and 0 if an error occured 423 */ 424 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src); 425 426 /** Creates a new EC_POINT object and copies the content of the supplied 427 * EC_POINT 428 * \param src source EC_POINT object 429 * \param group underlying the EC_GROUP object 430 * \return newly created EC_POINT object or NULL if an error occurred 431 */ 432 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group); 433 434 /** Returns the EC_METHOD used in EC_POINT object 435 * \param point EC_POINT object 436 * \return the EC_METHOD used 437 */ 438 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point); 439 440 /** Sets a point to infinity (neutral element) 441 * \param group underlying EC_GROUP object 442 * \param point EC_POINT to set to infinity 443 * \return 1 on success and 0 if an error occured 444 */ 445 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point); 446 447 /** Sets the jacobian projective coordinates of a EC_POINT over GFp 448 * \param group underlying EC_GROUP object 449 * \param p EC_POINT object 450 * \param x BIGNUM with the x-coordinate 451 * \param y BIGNUM with the y-coordinate 452 * \param z BIGNUM with the z-coordinate 453 * \param ctx BN_CTX object (optional) 454 * \return 1 on success and 0 if an error occured 455 */ 456 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 457 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx); 458 459 /** Gets the jacobian projective coordinates of a EC_POINT over GFp 460 * \param group underlying EC_GROUP object 461 * \param p EC_POINT object 462 * \param x BIGNUM for the x-coordinate 463 * \param y BIGNUM for the y-coordinate 464 * \param z BIGNUM for the z-coordinate 465 * \param ctx BN_CTX object (optional) 466 * \return 1 on success and 0 if an error occured 467 */ 468 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, 469 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx); 470 471 /** Sets the affine coordinates of a EC_POINT over GFp 472 * \param group underlying EC_GROUP object 473 * \param p EC_POINT object 474 * \param x BIGNUM with the x-coordinate 475 * \param y BIGNUM with the y-coordinate 476 * \param ctx BN_CTX object (optional) 477 * \return 1 on success and 0 if an error occured 478 */ 479 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 480 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); 481 482 /** Gets the affine coordinates of a EC_POINT over GFp 483 * \param group underlying EC_GROUP object 484 * \param p EC_POINT object 485 * \param x BIGNUM for the x-coordinate 486 * \param y BIGNUM for the y-coordinate 487 * \param ctx BN_CTX object (optional) 488 * \return 1 on success and 0 if an error occured 489 */ 490 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, 491 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 492 493 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp 494 * \param group underlying EC_GROUP object 495 * \param p EC_POINT object 496 * \param x BIGNUM with x-coordinate 497 * \param y_bit integer with the y-Bit (either 0 or 1) 498 * \param ctx BN_CTX object (optional) 499 * \return 1 on success and 0 if an error occured 500 */ 501 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, 502 const BIGNUM *x, int y_bit, BN_CTX *ctx); 503 #ifndef OPENSSL_NO_EC2M 504 /** Sets the affine coordinates of a EC_POINT over GF2m 505 * \param group underlying EC_GROUP object 506 * \param p EC_POINT object 507 * \param x BIGNUM with the x-coordinate 508 * \param y BIGNUM with the y-coordinate 509 * \param ctx BN_CTX object (optional) 510 * \return 1 on success and 0 if an error occured 511 */ 512 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, 513 const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); 514 515 /** Gets the affine coordinates of a EC_POINT over GF2m 516 * \param group underlying EC_GROUP object 517 * \param p EC_POINT object 518 * \param x BIGNUM for the x-coordinate 519 * \param y BIGNUM for the y-coordinate 520 * \param ctx BN_CTX object (optional) 521 * \return 1 on success and 0 if an error occured 522 */ 523 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, 524 const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); 525 526 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m 527 * \param group underlying EC_GROUP object 528 * \param p EC_POINT object 529 * \param x BIGNUM with x-coordinate 530 * \param y_bit integer with the y-Bit (either 0 or 1) 531 * \param ctx BN_CTX object (optional) 532 * \return 1 on success and 0 if an error occured 533 */ 534 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, 535 const BIGNUM *x, int y_bit, BN_CTX *ctx); 536 #endif 537 /** Encodes a EC_POINT object to a octet string 538 * \param group underlying EC_GROUP object 539 * \param p EC_POINT object 540 * \param form point conversion form 541 * \param buf memory buffer for the result. If NULL the function returns 542 * required buffer size. 543 * \param len length of the memory buffer 544 * \param ctx BN_CTX object (optional) 545 * \return the length of the encoded octet string or 0 if an error occurred 546 */ 547 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p, 548 point_conversion_form_t form, 549 unsigned char *buf, size_t len, BN_CTX *ctx); 550 551 /** Decodes a EC_POINT from a octet string 552 * \param group underlying EC_GROUP object 553 * \param p EC_POINT object 554 * \param buf memory buffer with the encoded ec point 555 * \param len length of the encoded ec point 556 * \param ctx BN_CTX object (optional) 557 * \return 1 on success and 0 if an error occured 558 */ 559 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p, 560 const unsigned char *buf, size_t len, BN_CTX *ctx); 561 562 /* other interfaces to point2oct/oct2point: */ 563 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, 564 point_conversion_form_t form, BIGNUM *, BN_CTX *); 565 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, 566 EC_POINT *, BN_CTX *); 567 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, 568 point_conversion_form_t form, BN_CTX *); 569 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, 570 EC_POINT *, BN_CTX *); 571 572 573 /********************************************************************/ 574 /* functions for doing EC_POINT arithmetic */ 575 /********************************************************************/ 576 577 /** Computes the sum of two EC_POINT 578 * \param group underlying EC_GROUP object 579 * \param r EC_POINT object for the result (r = a + b) 580 * \param a EC_POINT object with the first summand 581 * \param b EC_POINT object with the second summand 582 * \param ctx BN_CTX object (optional) 583 * \return 1 on success and 0 if an error occured 584 */ 585 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); 586 587 /** Computes the double of a EC_POINT 588 * \param group underlying EC_GROUP object 589 * \param r EC_POINT object for the result (r = 2 * a) 590 * \param a EC_POINT object 591 * \param ctx BN_CTX object (optional) 592 * \return 1 on success and 0 if an error occured 593 */ 594 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx); 595 596 /** Computes the inverse of a EC_POINT 597 * \param group underlying EC_GROUP object 598 * \param a EC_POINT object to be inverted (it's used for the result as well) 599 * \param ctx BN_CTX object (optional) 600 * \return 1 on success and 0 if an error occured 601 */ 602 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx); 603 604 /** Checks whether the point is the neutral element of the group 605 * \param group the underlying EC_GROUP object 606 * \param p EC_POINT object 607 * \return 1 if the point is the neutral element and 0 otherwise 608 */ 609 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p); 610 611 /** Checks whether the point is on the curve 612 * \param group underlying EC_GROUP object 613 * \param point EC_POINT object to check 614 * \param ctx BN_CTX object (optional) 615 * \return 1 if point if on the curve and 0 otherwise 616 */ 617 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx); 618 619 /** Compares two EC_POINTs 620 * \param group underlying EC_GROUP object 621 * \param a first EC_POINT object 622 * \param b second EC_POINT object 623 * \param ctx BN_CTX object (optional) 624 * \return 0 if both points are equal and a value != 0 otherwise 625 */ 626 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); 627 628 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx); 629 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx); 630 631 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i] 632 * \param group underlying EC_GROUP object 633 * \param r EC_POINT object for the result 634 * \param n BIGNUM with the multiplier for the group generator (optional) 635 * \param num number futher summands 636 * \param p array of size num of EC_POINT objects 637 * \param m array of size num of BIGNUM objects 638 * \param ctx BN_CTX object (optional) 639 * \return 1 on success and 0 if an error occured 640 */ 641 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); 642 643 /** Computes r = generator * n + q * m 644 * \param group underlying EC_GROUP object 645 * \param r EC_POINT object for the result 646 * \param n BIGNUM with the multiplier for the group generator (optional) 647 * \param q EC_POINT object with the first factor of the second summand 648 * \param m BIGNUM with the second factor of the second summand 649 * \param ctx BN_CTX object (optional) 650 * \return 1 on success and 0 if an error occured 651 */ 652 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx); 653 654 /** Stores multiples of generator for faster point multiplication 655 * \param group EC_GROUP object 656 * \param ctx BN_CTX object (optional) 657 * \return 1 on success and 0 if an error occured 658 */ 659 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); 660 661 /** Reports whether a precomputation has been done 662 * \param group EC_GROUP object 663 * \return 1 if a pre-computation has been done and 0 otherwise 664 */ 665 int EC_GROUP_have_precompute_mult(const EC_GROUP *group); 666 667 668 /********************************************************************/ 669 /* ASN1 stuff */ 670 /********************************************************************/ 671 672 /* EC_GROUP_get_basis_type() returns the NID of the basis type 673 * used to represent the field elements */ 674 int EC_GROUP_get_basis_type(const EC_GROUP *); 675 #ifndef OPENSSL_NO_EC2M 676 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); 677 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, 678 unsigned int *k2, unsigned int *k3); 679 #endif 680 681 #define OPENSSL_EC_NAMED_CURVE 0x001 682 683 typedef struct ecpk_parameters_st ECPKPARAMETERS; 684 685 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); 686 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); 687 688 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) 689 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) 690 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ 691 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) 692 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ 693 (unsigned char *)(x)) 694 695 #ifndef OPENSSL_NO_BIO 696 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); 697 #endif 698 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); 699 700 701 /********************************************************************/ 702 /* EC_KEY functions */ 703 /********************************************************************/ 704 705 typedef struct ec_key_st EC_KEY; 706 707 /* some values for the encoding_flag */ 708 #define EC_PKEY_NO_PARAMETERS 0x001 709 #define EC_PKEY_NO_PUBKEY 0x002 710 711 /* some values for the flags field */ 712 #define EC_FLAG_NON_FIPS_ALLOW 0x1 713 #define EC_FLAG_FIPS_CHECKED 0x2 714 715 /** Creates a new EC_KEY object. 716 * \return EC_KEY object or NULL if an error occurred. 717 */ 718 EC_KEY *EC_KEY_new(void); 719 720 int EC_KEY_get_flags(const EC_KEY *key); 721 722 void EC_KEY_set_flags(EC_KEY *key, int flags); 723 724 void EC_KEY_clear_flags(EC_KEY *key, int flags); 725 726 /** Creates a new EC_KEY object using a named curve as underlying 727 * EC_GROUP object. 728 * \param nid NID of the named curve. 729 * \return EC_KEY object or NULL if an error occurred. 730 */ 731 EC_KEY *EC_KEY_new_by_curve_name(int nid); 732 733 /** Frees a EC_KEY object. 734 * \param key EC_KEY object to be freed. 735 */ 736 void EC_KEY_free(EC_KEY *key); 737 738 /** Copies a EC_KEY object. 739 * \param dst destination EC_KEY object 740 * \param src src EC_KEY object 741 * \return dst or NULL if an error occurred. 742 */ 743 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src); 744 745 /** Creates a new EC_KEY object and copies the content from src to it. 746 * \param src the source EC_KEY object 747 * \return newly created EC_KEY object or NULL if an error occurred. 748 */ 749 EC_KEY *EC_KEY_dup(const EC_KEY *src); 750 751 /** Increases the internal reference count of a EC_KEY object. 752 * \param key EC_KEY object 753 * \return 1 on success and 0 if an error occurred. 754 */ 755 int EC_KEY_up_ref(EC_KEY *key); 756 757 /** Returns the EC_GROUP object of a EC_KEY object 758 * \param key EC_KEY object 759 * \return the EC_GROUP object (possibly NULL). 760 */ 761 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key); 762 763 /** Sets the EC_GROUP of a EC_KEY object. 764 * \param key EC_KEY object 765 * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY 766 * object will use an own copy of the EC_GROUP). 767 * \return 1 on success and 0 if an error occurred. 768 */ 769 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group); 770 771 /** Returns the private key of a EC_KEY object. 772 * \param key EC_KEY object 773 * \return a BIGNUM with the private key (possibly NULL). 774 */ 775 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key); 776 777 /** Sets the private key of a EC_KEY object. 778 * \param key EC_KEY object 779 * \param prv BIGNUM with the private key (note: the EC_KEY object 780 * will use an own copy of the BIGNUM). 781 * \return 1 on success and 0 if an error occurred. 782 */ 783 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv); 784 785 /** Returns the public key of a EC_KEY object. 786 * \param key the EC_KEY object 787 * \return a EC_POINT object with the public key (possibly NULL) 788 */ 789 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key); 790 791 /** Sets the public key of a EC_KEY object. 792 * \param key EC_KEY object 793 * \param pub EC_POINT object with the public key (note: the EC_KEY object 794 * will use an own copy of the EC_POINT object). 795 * \return 1 on success and 0 if an error occurred. 796 */ 797 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub); 798 799 unsigned EC_KEY_get_enc_flags(const EC_KEY *key); 800 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags); 801 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key); 802 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform); 803 /* functions to set/get method specific data */ 804 void *EC_KEY_get_key_method_data(EC_KEY *key, 805 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 806 /** Sets the key method data of an EC_KEY object, if none has yet been set. 807 * \param key EC_KEY object 808 * \param data opaque data to install. 809 * \param dup_func a function that duplicates |data|. 810 * \param free_func a function that frees |data|. 811 * \param clear_free_func a function that wipes and frees |data|. 812 * \return the previously set data pointer, or NULL if |data| was inserted. 813 */ 814 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data, 815 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 816 /* wrapper functions for the underlying EC_GROUP object */ 817 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag); 818 819 /** Creates a table of pre-computed multiples of the generator to 820 * accelerate further EC_KEY operations. 821 * \param key EC_KEY object 822 * \param ctx BN_CTX object (optional) 823 * \return 1 on success and 0 if an error occurred. 824 */ 825 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx); 826 827 /** Creates a new ec private (and optional a new public) key. 828 * \param key EC_KEY object 829 * \return 1 on success and 0 if an error occurred. 830 */ 831 int EC_KEY_generate_key(EC_KEY *key); 832 833 /** Verifies that a private and/or public key is valid. 834 * \param key the EC_KEY object 835 * \return 1 on success and 0 otherwise. 836 */ 837 int EC_KEY_check_key(const EC_KEY *key); 838 839 /** Sets a public key from affine coordindates performing 840 * neccessary NIST PKV tests. 841 * \param key the EC_KEY object 842 * \param x public key x coordinate 843 * \param y public key y coordinate 844 * \return 1 on success and 0 otherwise. 845 */ 846 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y); 847 848 849 /********************************************************************/ 850 /* de- and encoding functions for SEC1 ECPrivateKey */ 851 /********************************************************************/ 852 853 /** Decodes a private key from a memory buffer. 854 * \param key a pointer to a EC_KEY object which should be used (or NULL) 855 * \param in pointer to memory with the DER encoded private key 856 * \param len length of the DER encoded private key 857 * \return the decoded private key or NULL if an error occurred. 858 */ 859 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len); 860 861 /** Encodes a private key object and stores the result in a buffer. 862 * \param key the EC_KEY object to encode 863 * \param out the buffer for the result (if NULL the function returns number 864 * of bytes needed). 865 * \return 1 on success and 0 if an error occurred. 866 */ 867 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out); 868 869 870 /********************************************************************/ 871 /* de- and encoding functions for EC parameters */ 872 /********************************************************************/ 873 874 /** Decodes ec parameter from a memory buffer. 875 * \param key a pointer to a EC_KEY object which should be used (or NULL) 876 * \param in pointer to memory with the DER encoded ec parameters 877 * \param len length of the DER encoded ec parameters 878 * \return a EC_KEY object with the decoded parameters or NULL if an error 879 * occurred. 880 */ 881 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len); 882 883 /** Encodes ec parameter and stores the result in a buffer. 884 * \param key the EC_KEY object with ec paramters to encode 885 * \param out the buffer for the result (if NULL the function returns number 886 * of bytes needed). 887 * \return 1 on success and 0 if an error occurred. 888 */ 889 int i2d_ECParameters(EC_KEY *key, unsigned char **out); 890 891 892 /********************************************************************/ 893 /* de- and encoding functions for EC public key */ 894 /* (octet string, not DER -- hence 'o2i' and 'i2o') */ 895 /********************************************************************/ 896 897 /** Decodes a ec public key from a octet string. 898 * \param key a pointer to a EC_KEY object which should be used 899 * \param in memory buffer with the encoded public key 900 * \param len length of the encoded public key 901 * \return EC_KEY object with decoded public key or NULL if an error 902 * occurred. 903 */ 904 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len); 905 906 /** Encodes a ec public key in an octet string. 907 * \param key the EC_KEY object with the public key 908 * \param out the buffer for the result (if NULL the function returns number 909 * of bytes needed). 910 * \return 1 on success and 0 if an error occurred 911 */ 912 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out); 913 914 #ifndef OPENSSL_NO_BIO 915 /** Prints out the ec parameters on human readable form. 916 * \param bp BIO object to which the information is printed 917 * \param key EC_KEY object 918 * \return 1 on success and 0 if an error occurred 919 */ 920 int ECParameters_print(BIO *bp, const EC_KEY *key); 921 922 /** Prints out the contents of a EC_KEY object 923 * \param bp BIO object to which the information is printed 924 * \param key EC_KEY object 925 * \param off line offset 926 * \return 1 on success and 0 if an error occurred 927 */ 928 int EC_KEY_print(BIO *bp, const EC_KEY *key, int off); 929 930 #endif 931 /** Prints out the ec parameters on human readable form. 932 * \param fp file descriptor to which the information is printed 933 * \param key EC_KEY object 934 * \return 1 on success and 0 if an error occurred 935 */ 936 int ECParameters_print_fp(FILE *fp, const EC_KEY *key); 937 938 /** Prints out the contents of a EC_KEY object 939 * \param fp file descriptor to which the information is printed 940 * \param key EC_KEY object 941 * \param off line offset 942 * \return 1 on success and 0 if an error occurred 943 */ 944 int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off); 945 946 947 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 948 949 #ifndef __cplusplus 950 #if defined(__SUNPRO_C) 951 # if __SUNPRO_C >= 0x520 952 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 953 # endif 954 # endif 955 #endif 956 957 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \ 958 EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \ 959 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL) 960 961 962 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1) 963 964 /* BEGIN ERROR CODES */ 965 /* The following lines are auto generated by the script mkerr.pl. Any changes 966 * made after this point may be overwritten when the script is next run. 967 */ 968 void ERR_load_EC_strings(void); 969 970 /* Error codes for the EC functions. */ 971 972 /* Function codes. */ 973 #define EC_F_BN_TO_FELEM 224 974 #define EC_F_COMPUTE_WNAF 143 975 #define EC_F_D2I_ECPARAMETERS 144 976 #define EC_F_D2I_ECPKPARAMETERS 145 977 #define EC_F_D2I_ECPRIVATEKEY 146 978 #define EC_F_DO_EC_KEY_PRINT 221 979 #define EC_F_ECKEY_PARAM2TYPE 223 980 #define EC_F_ECKEY_PARAM_DECODE 212 981 #define EC_F_ECKEY_PRIV_DECODE 213 982 #define EC_F_ECKEY_PRIV_ENCODE 214 983 #define EC_F_ECKEY_PUB_DECODE 215 984 #define EC_F_ECKEY_PUB_ENCODE 216 985 #define EC_F_ECKEY_TYPE2PARAM 220 986 #define EC_F_ECPARAMETERS_PRINT 147 987 #define EC_F_ECPARAMETERS_PRINT_FP 148 988 #define EC_F_ECPKPARAMETERS_PRINT 149 989 #define EC_F_ECPKPARAMETERS_PRINT_FP 150 990 #define EC_F_ECP_NIST_MOD_192 203 991 #define EC_F_ECP_NIST_MOD_224 204 992 #define EC_F_ECP_NIST_MOD_256 205 993 #define EC_F_ECP_NIST_MOD_521 206 994 #define EC_F_EC_ASN1_GROUP2CURVE 153 995 #define EC_F_EC_ASN1_GROUP2FIELDID 154 996 #define EC_F_EC_ASN1_GROUP2PARAMETERS 155 997 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 998 #define EC_F_EC_ASN1_PARAMETERS2GROUP 157 999 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 1000 #define EC_F_EC_EX_DATA_SET_DATA 211 1001 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 1002 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 1003 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 1004 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 1005 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 1006 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 1007 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 1008 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 1009 #define EC_F_EC_GFP_MONT_FIELD_DECODE 133 1010 #define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 1011 #define EC_F_EC_GFP_MONT_FIELD_MUL 131 1012 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 1013 #define EC_F_EC_GFP_MONT_FIELD_SQR 132 1014 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 1015 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 1016 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE 225 1017 #define EC_F_EC_GFP_NISTP224_POINTS_MUL 228 1018 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226 1019 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230 1020 #define EC_F_EC_GFP_NISTP256_POINTS_MUL 231 1021 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232 1022 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233 1023 #define EC_F_EC_GFP_NISTP521_POINTS_MUL 234 1024 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235 1025 #define EC_F_EC_GFP_NIST_FIELD_MUL 200 1026 #define EC_F_EC_GFP_NIST_FIELD_SQR 201 1027 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 1028 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 1029 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 1030 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 1031 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 1032 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 1033 #define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 1034 #define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 1035 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 1036 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 1037 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 1038 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 1039 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 1040 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 1041 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 1042 #define EC_F_EC_GROUP_CHECK 170 1043 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 1044 #define EC_F_EC_GROUP_COPY 106 1045 #define EC_F_EC_GROUP_GET0_GENERATOR 139 1046 #define EC_F_EC_GROUP_GET_COFACTOR 140 1047 #define EC_F_EC_GROUP_GET_CURVE_GF2M 172 1048 #define EC_F_EC_GROUP_GET_CURVE_GFP 130 1049 #define EC_F_EC_GROUP_GET_DEGREE 173 1050 #define EC_F_EC_GROUP_GET_ORDER 141 1051 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 1052 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 1053 #define EC_F_EC_GROUP_NEW 108 1054 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 1055 #define EC_F_EC_GROUP_NEW_FROM_DATA 175 1056 #define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 1057 #define EC_F_EC_GROUP_SET_CURVE_GF2M 176 1058 #define EC_F_EC_GROUP_SET_CURVE_GFP 109 1059 #define EC_F_EC_GROUP_SET_EXTRA_DATA 110 1060 #define EC_F_EC_GROUP_SET_GENERATOR 111 1061 #define EC_F_EC_KEY_CHECK_KEY 177 1062 #define EC_F_EC_KEY_COPY 178 1063 #define EC_F_EC_KEY_GENERATE_KEY 179 1064 #define EC_F_EC_KEY_NEW 182 1065 #define EC_F_EC_KEY_PRINT 180 1066 #define EC_F_EC_KEY_PRINT_FP 181 1067 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229 1068 #define EC_F_EC_POINTS_MAKE_AFFINE 136 1069 #define EC_F_EC_POINT_ADD 112 1070 #define EC_F_EC_POINT_CMP 113 1071 #define EC_F_EC_POINT_COPY 114 1072 #define EC_F_EC_POINT_DBL 115 1073 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 1074 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 1075 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 1076 #define EC_F_EC_POINT_INVERT 210 1077 #define EC_F_EC_POINT_IS_AT_INFINITY 118 1078 #define EC_F_EC_POINT_IS_ON_CURVE 119 1079 #define EC_F_EC_POINT_MAKE_AFFINE 120 1080 #define EC_F_EC_POINT_MUL 184 1081 #define EC_F_EC_POINT_NEW 121 1082 #define EC_F_EC_POINT_OCT2POINT 122 1083 #define EC_F_EC_POINT_POINT2OCT 123 1084 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 1085 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 1086 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 1087 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 1088 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 1089 #define EC_F_EC_POINT_SET_TO_INFINITY 127 1090 #define EC_F_EC_PRE_COMP_DUP 207 1091 #define EC_F_EC_PRE_COMP_NEW 196 1092 #define EC_F_EC_WNAF_MUL 187 1093 #define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 1094 #define EC_F_I2D_ECPARAMETERS 190 1095 #define EC_F_I2D_ECPKPARAMETERS 191 1096 #define EC_F_I2D_ECPRIVATEKEY 192 1097 #define EC_F_I2O_ECPUBLICKEY 151 1098 #define EC_F_NISTP224_PRE_COMP_NEW 227 1099 #define EC_F_NISTP256_PRE_COMP_NEW 236 1100 #define EC_F_NISTP521_PRE_COMP_NEW 237 1101 #define EC_F_O2I_ECPUBLICKEY 152 1102 #define EC_F_OLD_EC_PRIV_DECODE 222 1103 #define EC_F_PKEY_EC_CTRL 197 1104 #define EC_F_PKEY_EC_CTRL_STR 198 1105 #define EC_F_PKEY_EC_DERIVE 217 1106 #define EC_F_PKEY_EC_KEYGEN 199 1107 #define EC_F_PKEY_EC_PARAMGEN 219 1108 #define EC_F_PKEY_EC_SIGN 218 1109 1110 /* Reason codes. */ 1111 #define EC_R_ASN1_ERROR 115 1112 #define EC_R_ASN1_UNKNOWN_FIELD 116 1113 #define EC_R_BIGNUM_OUT_OF_RANGE 144 1114 #define EC_R_BUFFER_TOO_SMALL 100 1115 #define EC_R_COORDINATES_OUT_OF_RANGE 146 1116 #define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 1117 #define EC_R_DECODE_ERROR 142 1118 #define EC_R_DISCRIMINANT_IS_ZERO 118 1119 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 1120 #define EC_R_FIELD_TOO_LARGE 143 1121 #define EC_R_GF2M_NOT_SUPPORTED 147 1122 #define EC_R_GROUP2PKPARAMETERS_FAILURE 120 1123 #define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 1124 #define EC_R_INCOMPATIBLE_OBJECTS 101 1125 #define EC_R_INVALID_ARGUMENT 112 1126 #define EC_R_INVALID_COMPRESSED_POINT 110 1127 #define EC_R_INVALID_COMPRESSION_BIT 109 1128 #define EC_R_INVALID_CURVE 141 1129 #define EC_R_INVALID_DIGEST_TYPE 138 1130 #define EC_R_INVALID_ENCODING 102 1131 #define EC_R_INVALID_FIELD 103 1132 #define EC_R_INVALID_FORM 104 1133 #define EC_R_INVALID_GROUP_ORDER 122 1134 #define EC_R_INVALID_PENTANOMIAL_BASIS 132 1135 #define EC_R_INVALID_PRIVATE_KEY 123 1136 #define EC_R_INVALID_TRINOMIAL_BASIS 137 1137 #define EC_R_KEYS_NOT_SET 140 1138 #define EC_R_MISSING_PARAMETERS 124 1139 #define EC_R_MISSING_PRIVATE_KEY 125 1140 #define EC_R_NOT_A_NIST_PRIME 135 1141 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 1142 #define EC_R_NOT_IMPLEMENTED 126 1143 #define EC_R_NOT_INITIALIZED 111 1144 #define EC_R_NO_FIELD_MOD 133 1145 #define EC_R_NO_PARAMETERS_SET 139 1146 #define EC_R_PASSED_NULL_PARAMETER 134 1147 #define EC_R_PKPARAMETERS2GROUP_FAILURE 127 1148 #define EC_R_POINT_AT_INFINITY 106 1149 #define EC_R_POINT_IS_NOT_ON_CURVE 107 1150 #define EC_R_SLOT_FULL 108 1151 #define EC_R_UNDEFINED_GENERATOR 113 1152 #define EC_R_UNDEFINED_ORDER 128 1153 #define EC_R_UNKNOWN_GROUP 129 1154 #define EC_R_UNKNOWN_ORDER 114 1155 #define EC_R_UNSUPPORTED_FIELD 131 1156 #define EC_R_WRONG_CURVE_PARAMETERS 145 1157 #define EC_R_WRONG_ORDER 130 1158 1159 #ifdef __cplusplus 1160 } 1161 #endif 1162 #endif 1163