ec.h revision 248272
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 *)); 324/** Sets the key method data of an EC_KEY object, if none has yet been set. 325 * \param key EC_KEY object 326 * \param data opaque data to install. 327 * \param dup_func a function that duplicates |data|. 328 * \param free_func a function that frees |data|. 329 * \param clear_free_func a function that wipes and frees |data|. 330 * \return the previously set data pointer, or NULL if |data| was inserted. 331 */ 332void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data, 333 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 334/* wrapper functions for the underlying EC_GROUP object */ 335void EC_KEY_set_asn1_flag(EC_KEY *, int); 336int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx); 337 338/* EC_KEY_generate_key() creates a ec private (public) key */ 339int EC_KEY_generate_key(EC_KEY *); 340/* EC_KEY_check_key() */ 341int EC_KEY_check_key(const EC_KEY *); 342 343/* de- and encoding functions for SEC1 ECPrivateKey */ 344EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len); 345int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out); 346/* de- and encoding functions for EC parameters */ 347EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len); 348int i2d_ECParameters(EC_KEY *a, unsigned char **out); 349/* de- and encoding functions for EC public key 350 * (octet string, not DER -- hence 'o2i' and 'i2o') */ 351EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len); 352int i2o_ECPublicKey(EC_KEY *a, unsigned char **out); 353 354#ifndef OPENSSL_NO_BIO 355int ECParameters_print(BIO *bp, const EC_KEY *x); 356int EC_KEY_print(BIO *bp, const EC_KEY *x, int off); 357#endif 358#ifndef OPENSSL_NO_FP_API 359int ECParameters_print_fp(FILE *fp, const EC_KEY *x); 360int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off); 361#endif 362 363#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 364 365#ifndef __cplusplus 366#if defined(__SUNPRO_C) 367# if __SUNPRO_C >= 0x520 368# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 369# endif 370# endif 371#endif 372 373/* BEGIN ERROR CODES */ 374/* The following lines are auto generated by the script mkerr.pl. Any changes 375 * made after this point may be overwritten when the script is next run. 376 */ 377void ERR_load_EC_strings(void); 378 379/* Error codes for the EC functions. */ 380 381/* Function codes. */ 382#define EC_F_COMPUTE_WNAF 143 383#define EC_F_D2I_ECPARAMETERS 144 384#define EC_F_D2I_ECPKPARAMETERS 145 385#define EC_F_D2I_ECPRIVATEKEY 146 386#define EC_F_ECPARAMETERS_PRINT 147 387#define EC_F_ECPARAMETERS_PRINT_FP 148 388#define EC_F_ECPKPARAMETERS_PRINT 149 389#define EC_F_ECPKPARAMETERS_PRINT_FP 150 390#define EC_F_ECP_NIST_MOD_192 203 391#define EC_F_ECP_NIST_MOD_224 204 392#define EC_F_ECP_NIST_MOD_256 205 393#define EC_F_ECP_NIST_MOD_521 206 394#define EC_F_EC_ASN1_GROUP2CURVE 153 395#define EC_F_EC_ASN1_GROUP2FIELDID 154 396#define EC_F_EC_ASN1_GROUP2PARAMETERS 155 397#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 398#define EC_F_EC_ASN1_PARAMETERS2GROUP 157 399#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 400#define EC_F_EC_EX_DATA_SET_DATA 211 401#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 402#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 403#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 404#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 405#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 406#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 407#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 408#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 409#define EC_F_EC_GFP_MONT_FIELD_DECODE 133 410#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 411#define EC_F_EC_GFP_MONT_FIELD_MUL 131 412#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 413#define EC_F_EC_GFP_MONT_FIELD_SQR 132 414#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 415#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 416#define EC_F_EC_GFP_NIST_FIELD_MUL 200 417#define EC_F_EC_GFP_NIST_FIELD_SQR 201 418#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 419#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 420#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 421#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 422#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 423#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 424#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 425#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 426#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 427#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 428#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 429#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 430#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 431#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 432#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 433#define EC_F_EC_GROUP_CHECK 170 434#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 435#define EC_F_EC_GROUP_COPY 106 436#define EC_F_EC_GROUP_GET0_GENERATOR 139 437#define EC_F_EC_GROUP_GET_COFACTOR 140 438#define EC_F_EC_GROUP_GET_CURVE_GF2M 172 439#define EC_F_EC_GROUP_GET_CURVE_GFP 130 440#define EC_F_EC_GROUP_GET_DEGREE 173 441#define EC_F_EC_GROUP_GET_ORDER 141 442#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 443#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 444#define EC_F_EC_GROUP_NEW 108 445#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 446#define EC_F_EC_GROUP_NEW_FROM_DATA 175 447#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 448#define EC_F_EC_GROUP_SET_CURVE_GF2M 176 449#define EC_F_EC_GROUP_SET_CURVE_GFP 109 450#define EC_F_EC_GROUP_SET_EXTRA_DATA 110 451#define EC_F_EC_GROUP_SET_GENERATOR 111 452#define EC_F_EC_KEY_CHECK_KEY 177 453#define EC_F_EC_KEY_COPY 178 454#define EC_F_EC_KEY_GENERATE_KEY 179 455#define EC_F_EC_KEY_NEW 182 456#define EC_F_EC_KEY_PRINT 180 457#define EC_F_EC_KEY_PRINT_FP 181 458#define EC_F_EC_POINTS_MAKE_AFFINE 136 459#define EC_F_EC_POINTS_MUL 138 460#define EC_F_EC_POINT_ADD 112 461#define EC_F_EC_POINT_CMP 113 462#define EC_F_EC_POINT_COPY 114 463#define EC_F_EC_POINT_DBL 115 464#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 465#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 466#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 467#define EC_F_EC_POINT_INVERT 210 468#define EC_F_EC_POINT_IS_AT_INFINITY 118 469#define EC_F_EC_POINT_IS_ON_CURVE 119 470#define EC_F_EC_POINT_MAKE_AFFINE 120 471#define EC_F_EC_POINT_MUL 184 472#define EC_F_EC_POINT_NEW 121 473#define EC_F_EC_POINT_OCT2POINT 122 474#define EC_F_EC_POINT_POINT2OCT 123 475#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 476#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 477#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 478#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 479#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 480#define EC_F_EC_POINT_SET_TO_INFINITY 127 481#define EC_F_EC_PRE_COMP_DUP 207 482#define EC_F_EC_PRE_COMP_NEW 196 483#define EC_F_EC_WNAF_MUL 187 484#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 485#define EC_F_I2D_ECPARAMETERS 190 486#define EC_F_I2D_ECPKPARAMETERS 191 487#define EC_F_I2D_ECPRIVATEKEY 192 488#define EC_F_I2O_ECPUBLICKEY 151 489#define EC_F_O2I_ECPUBLICKEY 152 490 491/* Reason codes. */ 492#define EC_R_ASN1_ERROR 115 493#define EC_R_ASN1_UNKNOWN_FIELD 116 494#define EC_R_BUFFER_TOO_SMALL 100 495#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 496#define EC_R_DISCRIMINANT_IS_ZERO 118 497#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 498#define EC_R_FIELD_TOO_LARGE 138 499#define EC_R_GROUP2PKPARAMETERS_FAILURE 120 500#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 501#define EC_R_INCOMPATIBLE_OBJECTS 101 502#define EC_R_INVALID_ARGUMENT 112 503#define EC_R_INVALID_COMPRESSED_POINT 110 504#define EC_R_INVALID_COMPRESSION_BIT 109 505#define EC_R_INVALID_ENCODING 102 506#define EC_R_INVALID_FIELD 103 507#define EC_R_INVALID_FORM 104 508#define EC_R_INVALID_GROUP_ORDER 122 509#define EC_R_INVALID_PENTANOMIAL_BASIS 132 510#define EC_R_INVALID_PRIVATE_KEY 123 511#define EC_R_INVALID_TRINOMIAL_BASIS 137 512#define EC_R_MISSING_PARAMETERS 124 513#define EC_R_MISSING_PRIVATE_KEY 125 514#define EC_R_NOT_A_NIST_PRIME 135 515#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 516#define EC_R_NOT_IMPLEMENTED 126 517#define EC_R_NOT_INITIALIZED 111 518#define EC_R_NO_FIELD_MOD 133 519#define EC_R_PASSED_NULL_PARAMETER 134 520#define EC_R_PKPARAMETERS2GROUP_FAILURE 127 521#define EC_R_POINT_AT_INFINITY 106 522#define EC_R_POINT_IS_NOT_ON_CURVE 107 523#define EC_R_SLOT_FULL 108 524#define EC_R_UNDEFINED_GENERATOR 113 525#define EC_R_UNDEFINED_ORDER 128 526#define EC_R_UNKNOWN_GROUP 129 527#define EC_R_UNKNOWN_ORDER 114 528#define EC_R_UNSUPPORTED_FIELD 131 529#define EC_R_WRONG_ORDER 130 530 531#ifdef __cplusplus 532} 533#endif 534#endif 535