ec.h revision 160814
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 96typedef enum { 97 /* values as defined in X9.62 (ECDSA) and elsewhere */ 98 POINT_CONVERSION_COMPRESSED = 2, 99 POINT_CONVERSION_UNCOMPRESSED = 4, 100 POINT_CONVERSION_HYBRID = 6 101} point_conversion_form_t; 102 103 104typedef struct ec_method_st EC_METHOD; 105 106typedef struct ec_group_st 107 /* 108 EC_METHOD *meth; 109 -- field definition 110 -- curve coefficients 111 -- optional generator with associated information (order, cofactor) 112 -- optional extra data (precomputed table for fast computation of multiples of generator) 113 -- ASN1 stuff 114 */ 115 EC_GROUP; 116 117typedef struct ec_point_st EC_POINT; 118 119 120/* EC_METHODs for curves over GF(p). 121 * EC_GFp_simple_method provides the basis for the optimized methods. 122 */ 123const EC_METHOD *EC_GFp_simple_method(void); 124const EC_METHOD *EC_GFp_mont_method(void); 125const EC_METHOD *EC_GFp_nist_method(void); 126 127/* EC_METHOD for curves over GF(2^m). 128 */ 129const EC_METHOD *EC_GF2m_simple_method(void); 130 131 132EC_GROUP *EC_GROUP_new(const EC_METHOD *); 133void EC_GROUP_free(EC_GROUP *); 134void EC_GROUP_clear_free(EC_GROUP *); 135int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *); 136EC_GROUP *EC_GROUP_dup(const EC_GROUP *); 137 138const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *); 139int EC_METHOD_get_field_type(const EC_METHOD *); 140 141int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); 142const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *); 143int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *); 144int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *); 145 146void EC_GROUP_set_curve_name(EC_GROUP *, int nid); 147int EC_GROUP_get_curve_name(const EC_GROUP *); 148 149void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag); 150int EC_GROUP_get_asn1_flag(const EC_GROUP *); 151 152void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t); 153point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); 154 155unsigned char *EC_GROUP_get0_seed(const EC_GROUP *); 156size_t EC_GROUP_get_seed_len(const EC_GROUP *); 157size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); 158 159int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 160int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 161int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 162int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *); 163 164/* returns the number of bits needed to represent a field element */ 165int EC_GROUP_get_degree(const EC_GROUP *); 166 167/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */ 168int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); 169/* EC_GROUP_check_discriminant() returns 1 if the discriminant of the 170 * elliptic curve is not zero, 0 otherwise */ 171int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *); 172 173/* EC_GROUP_cmp() returns 0 if both groups are equal and 1 otherwise */ 174int EC_GROUP_cmp(const EC_GROUP *, const EC_GROUP *, BN_CTX *); 175 176/* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() 177 * after choosing an appropriate EC_METHOD */ 178EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 179EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *); 180 181/* EC_GROUP_new_by_curve_name() creates a EC_GROUP structure 182 * specified by a curve name (in form of a NID) */ 183EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 184/* handling of internal curves */ 185typedef struct { 186 int nid; 187 const char *comment; 188 } EC_builtin_curve; 189/* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number 190 * of all available curves or zero if a error occurred. 191 * In case r ist not zero nitems EC_builtin_curve structures 192 * are filled with the data of the first nitems internal groups */ 193size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); 194 195 196/* EC_POINT functions */ 197 198EC_POINT *EC_POINT_new(const EC_GROUP *); 199void EC_POINT_free(EC_POINT *); 200void EC_POINT_clear_free(EC_POINT *); 201int EC_POINT_copy(EC_POINT *, const EC_POINT *); 202EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *); 203 204const EC_METHOD *EC_POINT_method_of(const EC_POINT *); 205 206int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *); 207int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, 208 const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *); 209int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 210 BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *); 211int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *, 212 const BIGNUM *x, const BIGNUM *y, BN_CTX *); 213int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 214 BIGNUM *x, BIGNUM *y, BN_CTX *); 215int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *, 216 const BIGNUM *x, int y_bit, BN_CTX *); 217 218int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *, 219 const BIGNUM *x, const BIGNUM *y, BN_CTX *); 220int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *, 221 BIGNUM *x, BIGNUM *y, BN_CTX *); 222int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *, 223 const BIGNUM *x, int y_bit, BN_CTX *); 224 225size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form, 226 unsigned char *buf, size_t len, BN_CTX *); 227int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *, 228 const unsigned char *buf, size_t len, BN_CTX *); 229 230/* other interfaces to point2oct/oct2point: */ 231BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, 232 point_conversion_form_t form, BIGNUM *, BN_CTX *); 233EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, 234 EC_POINT *, BN_CTX *); 235char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, 236 point_conversion_form_t form, BN_CTX *); 237EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, 238 EC_POINT *, BN_CTX *); 239 240int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 241int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 242int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 243 244int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *); 245int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 246int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *); 247 248int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 249int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); 250 251 252int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *); 253int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *); 254 255/* EC_GROUP_precompute_mult() stores multiples of generator for faster point multiplication */ 256int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *); 257/* EC_GROUP_have_precompute_mult() reports whether such precomputation has been done */ 258int EC_GROUP_have_precompute_mult(const EC_GROUP *); 259 260 261 262/* ASN1 stuff */ 263 264/* EC_GROUP_get_basis_type() returns the NID of the basis type 265 * used to represent the field elements */ 266int EC_GROUP_get_basis_type(const EC_GROUP *); 267int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); 268int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, 269 unsigned int *k2, unsigned int *k3); 270 271#define OPENSSL_EC_NAMED_CURVE 0x001 272 273typedef struct ecpk_parameters_st ECPKPARAMETERS; 274 275EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); 276int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); 277 278#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) 279#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) 280#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ 281 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) 282#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ 283 (unsigned char *)(x)) 284 285#ifndef OPENSSL_NO_BIO 286int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); 287#endif 288#ifndef OPENSSL_NO_FP_API 289int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); 290#endif 291 292/* the EC_KEY stuff */ 293typedef struct ec_key_st EC_KEY; 294 295/* some values for the encoding_flag */ 296#define EC_PKEY_NO_PARAMETERS 0x001 297#define EC_PKEY_NO_PUBKEY 0x002 298 299EC_KEY *EC_KEY_new(void); 300EC_KEY *EC_KEY_new_by_curve_name(int nid); 301void EC_KEY_free(EC_KEY *); 302EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *); 303EC_KEY *EC_KEY_dup(const EC_KEY *); 304 305int EC_KEY_up_ref(EC_KEY *); 306 307const EC_GROUP *EC_KEY_get0_group(const EC_KEY *); 308int EC_KEY_set_group(EC_KEY *, const EC_GROUP *); 309const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *); 310int EC_KEY_set_private_key(EC_KEY *, const BIGNUM *); 311const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *); 312int EC_KEY_set_public_key(EC_KEY *, const EC_POINT *); 313unsigned EC_KEY_get_enc_flags(const EC_KEY *); 314void EC_KEY_set_enc_flags(EC_KEY *, unsigned int); 315point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *); 316void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t); 317/* functions to set/get method specific data */ 318void *EC_KEY_get_key_method_data(EC_KEY *, 319 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 320void EC_KEY_insert_key_method_data(EC_KEY *, void *data, 321 void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); 322/* wrapper functions for the underlying EC_GROUP object */ 323void EC_KEY_set_asn1_flag(EC_KEY *, int); 324int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx); 325 326/* EC_KEY_generate_key() creates a ec private (public) key */ 327int EC_KEY_generate_key(EC_KEY *); 328/* EC_KEY_check_key() */ 329int EC_KEY_check_key(const EC_KEY *); 330 331/* de- and encoding functions for SEC1 ECPrivateKey */ 332EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len); 333int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out); 334/* de- and encoding functions for EC parameters */ 335EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len); 336int i2d_ECParameters(EC_KEY *a, unsigned char **out); 337/* de- and encoding functions for EC public key 338 * (octet string, not DER -- hence 'o2i' and 'i2o') */ 339EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len); 340int i2o_ECPublicKey(EC_KEY *a, unsigned char **out); 341 342#ifndef OPENSSL_NO_BIO 343int ECParameters_print(BIO *bp, const EC_KEY *x); 344int EC_KEY_print(BIO *bp, const EC_KEY *x, int off); 345#endif 346#ifndef OPENSSL_NO_FP_API 347int ECParameters_print_fp(FILE *fp, const EC_KEY *x); 348int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off); 349#endif 350 351#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 352 353#ifndef __cplusplus 354#if defined(__SUNPRO_C) 355# if __SUNPRO_C >= 0x520 356# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 357# endif 358# endif 359#endif 360 361/* BEGIN ERROR CODES */ 362/* The following lines are auto generated by the script mkerr.pl. Any changes 363 * made after this point may be overwritten when the script is next run. 364 */ 365void ERR_load_EC_strings(void); 366 367/* Error codes for the EC functions. */ 368 369/* Function codes. */ 370#define EC_F_COMPUTE_WNAF 143 371#define EC_F_D2I_ECPARAMETERS 144 372#define EC_F_D2I_ECPKPARAMETERS 145 373#define EC_F_D2I_ECPRIVATEKEY 146 374#define EC_F_ECPARAMETERS_PRINT 147 375#define EC_F_ECPARAMETERS_PRINT_FP 148 376#define EC_F_ECPKPARAMETERS_PRINT 149 377#define EC_F_ECPKPARAMETERS_PRINT_FP 150 378#define EC_F_ECP_NIST_MOD_192 203 379#define EC_F_ECP_NIST_MOD_224 204 380#define EC_F_ECP_NIST_MOD_256 205 381#define EC_F_ECP_NIST_MOD_521 206 382#define EC_F_EC_ASN1_GROUP2CURVE 153 383#define EC_F_EC_ASN1_GROUP2FIELDID 154 384#define EC_F_EC_ASN1_GROUP2PARAMETERS 155 385#define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 386#define EC_F_EC_ASN1_PARAMETERS2GROUP 157 387#define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 388#define EC_F_EC_EX_DATA_SET_DATA 211 389#define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 390#define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 391#define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 392#define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 393#define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 394#define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 395#define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 396#define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 397#define EC_F_EC_GFP_MONT_FIELD_DECODE 133 398#define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 399#define EC_F_EC_GFP_MONT_FIELD_MUL 131 400#define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 401#define EC_F_EC_GFP_MONT_FIELD_SQR 132 402#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 403#define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 404#define EC_F_EC_GFP_NIST_FIELD_MUL 200 405#define EC_F_EC_GFP_NIST_FIELD_SQR 201 406#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 407#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 408#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 409#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 410#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 411#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 412#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 413#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 414#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 415#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 416#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 417#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 418#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 419#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 420#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 421#define EC_F_EC_GROUP_CHECK 170 422#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 423#define EC_F_EC_GROUP_COPY 106 424#define EC_F_EC_GROUP_GET0_GENERATOR 139 425#define EC_F_EC_GROUP_GET_COFACTOR 140 426#define EC_F_EC_GROUP_GET_CURVE_GF2M 172 427#define EC_F_EC_GROUP_GET_CURVE_GFP 130 428#define EC_F_EC_GROUP_GET_DEGREE 173 429#define EC_F_EC_GROUP_GET_ORDER 141 430#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 431#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 432#define EC_F_EC_GROUP_NEW 108 433#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 434#define EC_F_EC_GROUP_NEW_FROM_DATA 175 435#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 436#define EC_F_EC_GROUP_SET_CURVE_GF2M 176 437#define EC_F_EC_GROUP_SET_CURVE_GFP 109 438#define EC_F_EC_GROUP_SET_EXTRA_DATA 110 439#define EC_F_EC_GROUP_SET_GENERATOR 111 440#define EC_F_EC_KEY_CHECK_KEY 177 441#define EC_F_EC_KEY_COPY 178 442#define EC_F_EC_KEY_GENERATE_KEY 179 443#define EC_F_EC_KEY_NEW 182 444#define EC_F_EC_KEY_PRINT 180 445#define EC_F_EC_KEY_PRINT_FP 181 446#define EC_F_EC_POINTS_MAKE_AFFINE 136 447#define EC_F_EC_POINTS_MUL 138 448#define EC_F_EC_POINT_ADD 112 449#define EC_F_EC_POINT_CMP 113 450#define EC_F_EC_POINT_COPY 114 451#define EC_F_EC_POINT_DBL 115 452#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 453#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 454#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 455#define EC_F_EC_POINT_INVERT 210 456#define EC_F_EC_POINT_IS_AT_INFINITY 118 457#define EC_F_EC_POINT_IS_ON_CURVE 119 458#define EC_F_EC_POINT_MAKE_AFFINE 120 459#define EC_F_EC_POINT_MUL 184 460#define EC_F_EC_POINT_NEW 121 461#define EC_F_EC_POINT_OCT2POINT 122 462#define EC_F_EC_POINT_POINT2OCT 123 463#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 464#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 465#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 466#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 467#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 468#define EC_F_EC_POINT_SET_TO_INFINITY 127 469#define EC_F_EC_PRE_COMP_DUP 207 470#define EC_F_EC_WNAF_MUL 187 471#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 472#define EC_F_I2D_ECPARAMETERS 190 473#define EC_F_I2D_ECPKPARAMETERS 191 474#define EC_F_I2D_ECPRIVATEKEY 192 475#define EC_F_I2O_ECPUBLICKEY 151 476#define EC_F_O2I_ECPUBLICKEY 152 477 478/* Reason codes. */ 479#define EC_R_ASN1_ERROR 115 480#define EC_R_ASN1_UNKNOWN_FIELD 116 481#define EC_R_BUFFER_TOO_SMALL 100 482#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 483#define EC_R_DISCRIMINANT_IS_ZERO 118 484#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 485#define EC_R_GROUP2PKPARAMETERS_FAILURE 120 486#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 487#define EC_R_INCOMPATIBLE_OBJECTS 101 488#define EC_R_INVALID_ARGUMENT 112 489#define EC_R_INVALID_COMPRESSED_POINT 110 490#define EC_R_INVALID_COMPRESSION_BIT 109 491#define EC_R_INVALID_ENCODING 102 492#define EC_R_INVALID_FIELD 103 493#define EC_R_INVALID_FORM 104 494#define EC_R_INVALID_GROUP_ORDER 122 495#define EC_R_INVALID_PRIVATE_KEY 123 496#define EC_R_MISSING_PARAMETERS 124 497#define EC_R_MISSING_PRIVATE_KEY 125 498#define EC_R_NOT_A_NIST_PRIME 135 499#define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 500#define EC_R_NOT_IMPLEMENTED 126 501#define EC_R_NOT_INITIALIZED 111 502#define EC_R_NO_FIELD_MOD 133 503#define EC_R_PASSED_NULL_PARAMETER 134 504#define EC_R_PKPARAMETERS2GROUP_FAILURE 127 505#define EC_R_POINT_AT_INFINITY 106 506#define EC_R_POINT_IS_NOT_ON_CURVE 107 507#define EC_R_SLOT_FULL 108 508#define EC_R_UNDEFINED_GENERATOR 113 509#define EC_R_UNDEFINED_ORDER 128 510#define EC_R_UNKNOWN_GROUP 129 511#define EC_R_UNKNOWN_ORDER 114 512#define EC_R_UNSUPPORTED_FIELD 131 513#define EC_R_WRONG_ORDER 130 514 515#ifdef __cplusplus 516} 517#endif 518#endif 519