ec.h revision bdfb8ad83da0647e9b9a32792598e8ce7ba3ef4d
1/* crypto/ec/ec.h */ 2/* 3 * Originally written by Bodo Moeller for the OpenSSL project. 4 */ 5/* ==================================================================== 6 * Copyright (c) 1998-2003 The OpenSSL Project. All rights reserved. 7 * 8 * Redistribution and use in source and binary forms, with or without 9 * modification, are permitted provided that the following conditions 10 * are met: 11 * 12 * 1. Redistributions of source code must retain the above copyright 13 * notice, this list of conditions and the following disclaimer. 14 * 15 * 2. Redistributions in binary form must reproduce the above copyright 16 * notice, this list of conditions and the following disclaimer in 17 * the documentation and/or other materials provided with the 18 * distribution. 19 * 20 * 3. All advertising materials mentioning features or use of this 21 * software must display the following acknowledgment: 22 * "This product includes software developed by the OpenSSL Project 23 * for use in the OpenSSL Toolkit. (http://www.openssl.org/)" 24 * 25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to 26 * endorse or promote products derived from this software without 27 * prior written permission. For written permission, please contact 28 * openssl-core@openssl.org. 29 * 30 * 5. Products derived from this software may not be called "OpenSSL" 31 * nor may "OpenSSL" appear in their names without prior written 32 * permission of the OpenSSL Project. 33 * 34 * 6. Redistributions of any form whatsoever must retain the following 35 * acknowledgment: 36 * "This product includes software developed by the OpenSSL Project 37 * for use in the OpenSSL Toolkit (http://www.openssl.org/)" 38 * 39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY 40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR 43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, 44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT 45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; 46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, 48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) 49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED 50 * OF THE POSSIBILITY OF SUCH DAMAGE. 51 * ==================================================================== 52 * 53 * This product includes cryptographic software written by Eric Young 54 * (eay@cryptsoft.com). This product includes software written by Tim 55 * Hudson (tjh@cryptsoft.com). 56 * 57 */ 58/* ==================================================================== 59 * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. 60 * 61 * Portions of the attached software ("Contribution") are developed by 62 * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. 63 * 64 * The Contribution is licensed pursuant to the OpenSSL open source 65 * license provided above. 66 * 67 * The elliptic curve binary polynomial software is originally written by 68 * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. 69 * 70 */ 71 72#ifndef HEADER_EC_H 73#define HEADER_EC_H 74 75#include <openssl/opensslconf.h> 76 77#ifdef OPENSSL_NO_EC 78#error EC is disabled. 79#endif 80 81#include <openssl/asn1.h> 82#include <openssl/symhacks.h> 83#ifndef OPENSSL_NO_DEPRECATED 84#include <openssl/bn.h> 85#endif 86 87#ifdef __cplusplus 88extern "C" { 89#elif defined(__SUNPRO_C) 90# if __SUNPRO_C >= 0x520 91# pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 92# endif 93#endif 94 95 96#ifndef OPENSSL_ECC_MAX_FIELD_BITS 97# define OPENSSL_ECC_MAX_FIELD_BITS 661 98#endif 99 100typedef enum { 101 /* values as defined in X9.62 (ECDSA) and elsewhere */ 102 POINT_CONVERSION_COMPRESSED = 2, 103 POINT_CONVERSION_UNCOMPRESSED = 4, 104 POINT_CONVERSION_HYBRID = 6 105} point_conversion_form_t; 106 107 108typedef struct ec_method_st EC_METHOD; 109 110typedef struct ec_group_st 111 /* 112 EC_METHOD *meth; 113 -- field definition 114 -- curve coefficients 115 -- optional generator with associated information (order, cofactor) 116 -- optional extra data (precomputed table for fast computation of multiples of generator) 117 -- ASN1 stuff 118 */ 119 EC_GROUP; 120 121typedef struct ec_point_st EC_POINT; 122 123 124/* EC_METHODs for curves over GF(p). 125 * EC_GFp_simple_method provides the basis for the optimized methods. 126 */ 127const EC_METHOD *EC_GFp_simple_method(void); 128const EC_METHOD *EC_GFp_mont_method(void); 129const EC_METHOD *EC_GFp_nist_method(void); 130 131/* EC_METHOD for curves over GF(2^m). 132 */ 133const EC_METHOD *EC_GF2m_simple_method(void); 134 135 136EC_GROUP *EC_GROUP_new(const EC_METHOD *); 137void EC_GROUP_free(EC_GROUP *); 138void EC_GROUP_clear_free(EC_GROUP *); 139int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *); 140EC_GROUP *EC_GROUP_dup(const EC_GROUP *); 141 142const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *); 143int EC_METHOD_get_field_type(const EC_METHOD *); 144 145int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); 146const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *); 147int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *); 148int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *); 149 150void EC_GROUP_set_curve_name(EC_GROUP *, int nid); 151int EC_GROUP_get_curve_name(const EC_GROUP *); 152 153void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag); 154int EC_GROUP_get_asn1_flag(const EC_GROUP *); 155 156void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t); 157point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); 158 159unsigned char *EC_GROUP_get0_seed(const EC_GROUP *); 160size_t EC_GROUP_get_seed_len(const EC_GROUP *); 161size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); 162 163int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 164int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 165int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 166int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 167 168/* returns the number of bits needed to represent a field element */ 169int EC_GROUP_get_degree(const EC_GROUP *); 170 171/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */ 172int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); 173/* EC_GROUP_check_discriminant() returns 1 if the discriminant of the 174 * elliptic curve is not zero, 0 otherwise */ 175int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *); 176 177/* EC_GROUP_cmp() returns 0 if both groups are equal and 1 otherwise */ 178int EC_GROUP_cmp(const EC_GROUP *, const EC_GROUP *, BN_CTX *); 179 180/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() 181 * after choosing an appropriate EC_METHOD */ 182EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 183EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 184 185/* EC_GROUP_new_by_curve_name() creates a EC_GROUP structure 186 * specified by a curve name (in form of a NID) */ 187EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 188/* handling of internal curves */ 189typedef struct { 190 int nid; 191 const char *comment; 192 } EC_builtin_curve; 193/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number 194 * of all available curves or zero if a error occurred. 195 * In case r ist not zero nitems EC_builtin_curve structures 196 * are filled with the data of the first nitems internal groups */ 197size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); 198 199 200/* EC_POINT functions */ 201 202EC_POINT *EC_POINT_new(const EC_GROUP *); 203void EC_POINT_free(EC_POINT *); 204void EC_POINT_clear_free(EC_POINT *); 205int EC_POINT_copy(EC_POINT *, const EC_POINT *); 206EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *); 207 208const EC_METHOD *EC_POINT_method_of(const EC_POINT *); 209 210int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *); 211int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, 212 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 213int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 214 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 215int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *, 216 const BIGNUM *x, const BIGNUM *y, BN_CTX *); 217int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 218 BIGNUM *x, BIGNUM *y, BN_CTX *); 219int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *, 220 const BIGNUM *x, int y_bit, BN_CTX *); 221 222int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *, 223 const BIGNUM *x, const BIGNUM *y, BN_CTX *); 224int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *, 225 BIGNUM *x, BIGNUM *y, BN_CTX *); 226int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *, 227 const BIGNUM *x, int y_bit, BN_CTX *); 228 229size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 230 unsigned char *buf, size_t len, BN_CTX *); 231int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *, 232 const unsigned char *buf, size_t len, BN_CTX *); 233 234/* other interfaces to point2oct/oct2point: */ 235BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, 236 point_conversion_form_t form, BIGNUM *, BN_CTX *); 237EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, 238 EC_POINT *, BN_CTX *); 239char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, 240 point_conversion_form_t form, BN_CTX *); 241EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, 242 EC_POINT *, BN_CTX *); 243 244int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 245int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 246int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 247 248int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *); 249int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 250int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 251 252int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 253int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 254 255 256int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *); 257int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *); 258 259/* EC_GROUP_precompute_mult() stores multiples of generator for faster point multiplication */ 260int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *); 261/* EC_GROUP_have_precompute_mult() reports whether such precomputation has been done */ 262int EC_GROUP_have_precompute_mult(const EC_GROUP *); 263 264 265 266/* ASN1 stuff */ 267 268/* EC_GROUP_get_basis_type() returns the NID of the basis type 269 * used to represent the field elements */ 270int EC_GROUP_get_basis_type(const EC_GROUP *); 271int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); 272int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, 273 unsigned int *k2, unsigned int *k3); 274 275#define OPENSSL_EC_NAMED_CURVE 0x001 276 277typedef struct ecpk_parameters_st ECPKPARAMETERS; 278 279EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); 280int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); 281 282#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) 283#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) 284#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ 285 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) 286#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ 287 (unsigned char *)(x)) 288 289#ifndef OPENSSL_NO_BIO 290int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); 291#endif 292#ifndef OPENSSL_NO_FP_API 293int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); 294#endif 295 296/* the EC_KEY stuff */ 297typedef struct ec_key_st EC_KEY; 298 299/* some values for the encoding_flag */ 300#define EC_PKEY_NO_PARAMETERS 0x001 301#define EC_PKEY_NO_PUBKEY 0x002 302 303EC_KEY *EC_KEY_new(void); 304EC_KEY *EC_KEY_new_by_curve_name(int nid); 305void EC_KEY_free(EC_KEY *); 306EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *); 307EC_KEY *EC_KEY_dup(const EC_KEY *); 308 309int EC_KEY_up_ref(EC_KEY *); 310 311const EC_GROUP *EC_KEY_get0_group(const EC_KEY *); 312int EC_KEY_set_group(EC_KEY *, const EC_GROUP *); 313const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *); 314int EC_KEY_set_private_key(EC_KEY *, const BIGNUM *); 315const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *); 316int EC_KEY_set_public_key(EC_KEY *, const EC_POINT *); 317unsigned EC_KEY_get_enc_flags(const EC_KEY *); 318void EC_KEY_set_enc_flags(EC_KEY *, unsigned int); 319point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *); 320void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t); 321/* functions to set/get method specific data */ 322void *EC_KEY_get_key_method_data(EC_KEY *, 323 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 324void EC_KEY_insert_key_method_data(EC_KEY *, void *data, 325 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 326/* wrapper functions for the underlying EC_GROUP object */ 327void EC_KEY_set_asn1_flag(EC_KEY *, int); 328int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx); 329 330/* EC_KEY_generate_key() creates a ec private (public) key */ 331int EC_KEY_generate_key(EC_KEY *); 332/* EC_KEY_check_key() */ 333int EC_KEY_check_key(const EC_KEY *); 334 335/* de- and encoding functions for SEC1 ECPrivateKey */ 336EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len); 337int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out); 338/* de- and encoding functions for EC parameters */ 339EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len); 340int i2d_ECParameters(EC_KEY *a, unsigned char **out); 341/* de- and encoding functions for EC public key 342 * (octet string, not DER -- hence 'o2i' and 'i2o') */ 343EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len); 344int i2o_ECPublicKey(EC_KEY *a, unsigned char **out); 345 346#ifndef OPENSSL_NO_BIO 347int ECParameters_print(BIO *bp, const EC_KEY *x); 348int EC_KEY_print(BIO *bp, const EC_KEY *x, int off); 349#endif 350#ifndef OPENSSL_NO_FP_API 351int ECParameters_print_fp(FILE *fp, const EC_KEY *x); 352int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off); 353#endif 354 355#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 356 357#ifndef __cplusplus 358#if defined(__SUNPRO_C) 359# if __SUNPRO_C >= 0x520 360# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 361# endif 362# endif 363#endif 364 365/* BEGIN ERROR CODES */ 366/* The following lines are auto generated by the script mkerr.pl. Any changes 367 * made after this point may be overwritten when the script is next run. 368 */ 369void ERR_load_EC_strings(void); 370 371/* Error codes for the EC functions. */ 372 373/* Function codes. */ 374#define EC_F_COMPUTE_WNAF 143 375#define EC_F_D2I_ECPARAMETERS 144 376#define EC_F_D2I_ECPKPARAMETERS 145 377#define EC_F_D2I_ECPRIVATEKEY 146 378#define EC_F_ECPARAMETERS_PRINT 147 379#define EC_F_ECPARAMETERS_PRINT_FP 148 380#define EC_F_ECPKPARAMETERS_PRINT 149 381#define EC_F_ECPKPARAMETERS_PRINT_FP 150 382#define EC_F_ECP_NIST_MOD_192 203 383#define EC_F_ECP_NIST_MOD_224 204 384#define EC_F_ECP_NIST_MOD_256 205 385#define EC_F_ECP_NIST_MOD_521 206 386#define EC_F_EC_ASN1_GROUP2CURVE 153 387#define EC_F_EC_ASN1_GROUP2FIELDID 154 388#define EC_F_EC_ASN1_GROUP2PARAMETERS 155 389#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 390#define EC_F_EC_ASN1_PARAMETERS2GROUP 157 391#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 392#define EC_F_EC_EX_DATA_SET_DATA 211 393#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 394#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 395#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 396#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 397#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 398#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 399#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 400#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 401#define EC_F_EC_GFP_MONT_FIELD_DECODE 133 402#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 403#define EC_F_EC_GFP_MONT_FIELD_MUL 131 404#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 405#define EC_F_EC_GFP_MONT_FIELD_SQR 132 406#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 407#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 408#define EC_F_EC_GFP_NIST_FIELD_MUL 200 409#define EC_F_EC_GFP_NIST_FIELD_SQR 201 410#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 411#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 412#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 413#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 414#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 415#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 416#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 417#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 418#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 419#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 420#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 421#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 422#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 423#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 424#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 425#define EC_F_EC_GROUP_CHECK 170 426#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 427#define EC_F_EC_GROUP_COPY 106 428#define EC_F_EC_GROUP_GET0_GENERATOR 139 429#define EC_F_EC_GROUP_GET_COFACTOR 140 430#define EC_F_EC_GROUP_GET_CURVE_GF2M 172 431#define EC_F_EC_GROUP_GET_CURVE_GFP 130 432#define EC_F_EC_GROUP_GET_DEGREE 173 433#define EC_F_EC_GROUP_GET_ORDER 141 434#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 435#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 436#define EC_F_EC_GROUP_NEW 108 437#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 438#define EC_F_EC_GROUP_NEW_FROM_DATA 175 439#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 440#define EC_F_EC_GROUP_SET_CURVE_GF2M 176 441#define EC_F_EC_GROUP_SET_CURVE_GFP 109 442#define EC_F_EC_GROUP_SET_EXTRA_DATA 110 443#define EC_F_EC_GROUP_SET_GENERATOR 111 444#define EC_F_EC_KEY_CHECK_KEY 177 445#define EC_F_EC_KEY_COPY 178 446#define EC_F_EC_KEY_GENERATE_KEY 179 447#define EC_F_EC_KEY_NEW 182 448#define EC_F_EC_KEY_PRINT 180 449#define EC_F_EC_KEY_PRINT_FP 181 450#define EC_F_EC_POINTS_MAKE_AFFINE 136 451#define EC_F_EC_POINTS_MUL 138 452#define EC_F_EC_POINT_ADD 112 453#define EC_F_EC_POINT_CMP 113 454#define EC_F_EC_POINT_COPY 114 455#define EC_F_EC_POINT_DBL 115 456#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 457#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 458#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 459#define EC_F_EC_POINT_INVERT 210 460#define EC_F_EC_POINT_IS_AT_INFINITY 118 461#define EC_F_EC_POINT_IS_ON_CURVE 119 462#define EC_F_EC_POINT_MAKE_AFFINE 120 463#define EC_F_EC_POINT_MUL 184 464#define EC_F_EC_POINT_NEW 121 465#define EC_F_EC_POINT_OCT2POINT 122 466#define EC_F_EC_POINT_POINT2OCT 123 467#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 468#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 469#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 470#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 471#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 472#define EC_F_EC_POINT_SET_TO_INFINITY 127 473#define EC_F_EC_PRE_COMP_DUP 207 474#define EC_F_EC_PRE_COMP_NEW 196 475#define EC_F_EC_WNAF_MUL 187 476#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 477#define EC_F_I2D_ECPARAMETERS 190 478#define EC_F_I2D_ECPKPARAMETERS 191 479#define EC_F_I2D_ECPRIVATEKEY 192 480#define EC_F_I2O_ECPUBLICKEY 151 481#define EC_F_O2I_ECPUBLICKEY 152 482 483/* Reason codes. */ 484#define EC_R_ASN1_ERROR 115 485#define EC_R_ASN1_UNKNOWN_FIELD 116 486#define EC_R_BUFFER_TOO_SMALL 100 487#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 488#define EC_R_DISCRIMINANT_IS_ZERO 118 489#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 490#define EC_R_FIELD_TOO_LARGE 138 491#define EC_R_GROUP2PKPARAMETERS_FAILURE 120 492#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 493#define EC_R_INCOMPATIBLE_OBJECTS 101 494#define EC_R_INVALID_ARGUMENT 112 495#define EC_R_INVALID_COMPRESSED_POINT 110 496#define EC_R_INVALID_COMPRESSION_BIT 109 497#define EC_R_INVALID_ENCODING 102 498#define EC_R_INVALID_FIELD 103 499#define EC_R_INVALID_FORM 104 500#define EC_R_INVALID_GROUP_ORDER 122 501#define EC_R_INVALID_PENTANOMIAL_BASIS 132 502#define EC_R_INVALID_PRIVATE_KEY 123 503#define EC_R_INVALID_TRINOMIAL_BASIS 137 504#define EC_R_MISSING_PARAMETERS 124 505#define EC_R_MISSING_PRIVATE_KEY 125 506#define EC_R_NOT_A_NIST_PRIME 135 507#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 508#define EC_R_NOT_IMPLEMENTED 126 509#define EC_R_NOT_INITIALIZED 111 510#define EC_R_NO_FIELD_MOD 133 511#define EC_R_PASSED_NULL_PARAMETER 134 512#define EC_R_PKPARAMETERS2GROUP_FAILURE 127 513#define EC_R_POINT_AT_INFINITY 106 514#define EC_R_POINT_IS_NOT_ON_CURVE 107 515#define EC_R_SLOT_FULL 108 516#define EC_R_UNDEFINED_GENERATOR 113 517#define EC_R_UNDEFINED_ORDER 128 518#define EC_R_UNKNOWN_GROUP 129 519#define EC_R_UNKNOWN_ORDER 114 520#define EC_R_UNSUPPORTED_FIELD 131 521#define EC_R_WRONG_ORDER 130 522 523#ifdef __cplusplus 524} 525#endif 526#endif 527