ec.h revision 296465
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# ifndef OPENSSL_ECC_MAX_FIELD_BITS 96# define OPENSSL_ECC_MAX_FIELD_BITS 661 97# endif 98 99typedef enum { 100 /* values as defined in X9.62 (ECDSA) and elsewhere */ 101 POINT_CONVERSION_COMPRESSED = 2, 102 POINT_CONVERSION_UNCOMPRESSED = 4, 103 POINT_CONVERSION_HYBRID = 6 104} point_conversion_form_t; 105 106typedef struct ec_method_st EC_METHOD; 107 108typedef struct ec_group_st 109 /*- 110 EC_METHOD *meth; 111 -- field definition 112 -- curve coefficients 113 -- optional generator with associated information (order, cofactor) 114 -- optional extra data (precomputed table for fast computation of multiples of generator) 115 -- ASN1 stuff 116 */ 117 EC_GROUP; 118 119typedef struct ec_point_st EC_POINT; 120 121/* 122 * EC_METHODs for curves over GF(p). EC_GFp_simple_method provides the basis 123 * for the optimized methods. 124 */ 125const EC_METHOD *EC_GFp_simple_method(void); 126const EC_METHOD *EC_GFp_mont_method(void); 127const EC_METHOD *EC_GFp_nist_method(void); 128 129/* 130 * EC_METHOD for curves over GF(2^m). 131 */ 132const EC_METHOD *EC_GF2m_simple_method(void); 133 134EC_GROUP *EC_GROUP_new(const EC_METHOD *); 135void EC_GROUP_free(EC_GROUP *); 136void EC_GROUP_clear_free(EC_GROUP *); 137int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *); 138EC_GROUP *EC_GROUP_dup(const EC_GROUP *); 139 140const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *); 141int EC_METHOD_get_field_type(const EC_METHOD *); 142 143int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, 144 const BIGNUM *order, const BIGNUM *cofactor); 145const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *); 146int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *); 147int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *); 148 149void EC_GROUP_set_curve_name(EC_GROUP *, int nid); 150int EC_GROUP_get_curve_name(const EC_GROUP *); 151 152void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag); 153int EC_GROUP_get_asn1_flag(const EC_GROUP *); 154 155void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t); 156point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); 157 158unsigned char *EC_GROUP_get0_seed(const EC_GROUP *); 159size_t EC_GROUP_get_seed_len(const EC_GROUP *); 160size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); 161 162int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, 163 const BIGNUM *b, BN_CTX *); 164int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, 165 BN_CTX *); 166int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, 167 const BIGNUM *b, BN_CTX *); 168int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, 169 BN_CTX *); 170 171/* returns the number of bits needed to represent a field element */ 172int EC_GROUP_get_degree(const EC_GROUP *); 173 174/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */ 175int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); 176/* 177 * EC_GROUP_check_discriminant() returns 1 if the discriminant of the 178 * elliptic curve is not zero, 0 otherwise 179 */ 180int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *); 181 182/* EC_GROUP_cmp() returns 0 if both groups are equal and 1 otherwise */ 183int EC_GROUP_cmp(const EC_GROUP *, const EC_GROUP *, BN_CTX *); 184 185/* 186 * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after 187 * choosing an appropriate EC_METHOD 188 */ 189EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, 190 const BIGNUM *b, BN_CTX *); 191EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, 192 const BIGNUM *b, BN_CTX *); 193 194/* 195 * EC_GROUP_new_by_curve_name() creates a EC_GROUP structure specified by a 196 * curve name (in form of a NID) 197 */ 198EC_GROUP *EC_GROUP_new_by_curve_name(int nid); 199/* handling of internal curves */ 200typedef struct { 201 int nid; 202 const char *comment; 203} EC_builtin_curve; 204/* 205 * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all 206 * available curves or zero if a error occurred. In case r ist not zero 207 * nitems EC_builtin_curve structures are filled with the data of the first 208 * nitems internal groups 209 */ 210size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); 211 212/* EC_POINT functions */ 213 214EC_POINT *EC_POINT_new(const EC_GROUP *); 215void EC_POINT_free(EC_POINT *); 216void EC_POINT_clear_free(EC_POINT *); 217int EC_POINT_copy(EC_POINT *, const EC_POINT *); 218EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *); 219 220const EC_METHOD *EC_POINT_method_of(const EC_POINT *); 221 222int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *); 223int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *, 224 const BIGNUM *x, const BIGNUM *y, 225 const BIGNUM *z, BN_CTX *); 226int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, 227 const EC_POINT *, BIGNUM *x, 228 BIGNUM *y, BIGNUM *z, BN_CTX *); 229int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *, 230 const BIGNUM *x, const BIGNUM *y, 231 BN_CTX *); 232int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *, 233 BIGNUM *x, BIGNUM *y, BN_CTX *); 234int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *, 235 const BIGNUM *x, int y_bit, 236 BN_CTX *); 237 238int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *, 239 const BIGNUM *x, const BIGNUM *y, 240 BN_CTX *); 241int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *, 242 BIGNUM *x, BIGNUM *y, BN_CTX *); 243int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *, 244 const BIGNUM *x, int y_bit, 245 BN_CTX *); 246 247size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, 248 point_conversion_form_t form, unsigned char *buf, 249 size_t len, BN_CTX *); 250int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *, const unsigned char *buf, 251 size_t len, BN_CTX *); 252 253/* other interfaces to point2oct/oct2point: */ 254BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, 255 point_conversion_form_t form, BIGNUM *, BN_CTX *); 256EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, 257 EC_POINT *, BN_CTX *); 258char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, 259 point_conversion_form_t form, BN_CTX *); 260EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, 261 EC_POINT *, BN_CTX *); 262 263int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, 264 const EC_POINT *b, BN_CTX *); 265int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *); 266int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *); 267 268int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *); 269int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *); 270int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, 271 BN_CTX *); 272 273int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); 274int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], 275 BN_CTX *); 276 277int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, 278 const EC_POINT *[], const BIGNUM *[], BN_CTX *); 279int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, 280 const EC_POINT *, const BIGNUM *, BN_CTX *); 281 282/* 283 * EC_GROUP_precompute_mult() stores multiples of generator for faster point 284 * multiplication 285 */ 286int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *); 287/* 288 * EC_GROUP_have_precompute_mult() reports whether such precomputation has 289 * been done 290 */ 291int EC_GROUP_have_precompute_mult(const EC_GROUP *); 292 293/* ASN1 stuff */ 294 295/* 296 * EC_GROUP_get_basis_type() returns the NID of the basis type used to 297 * represent the field elements 298 */ 299int EC_GROUP_get_basis_type(const EC_GROUP *); 300int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); 301int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1, 302 unsigned int *k2, unsigned int *k3); 303 304# define OPENSSL_EC_NAMED_CURVE 0x001 305 306typedef struct ecpk_parameters_st ECPKPARAMETERS; 307 308EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); 309int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); 310 311# define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) 312# define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) 313# define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ 314 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) 315# define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ 316 (unsigned char *)(x)) 317 318# ifndef OPENSSL_NO_BIO 319int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); 320# endif 321# ifndef OPENSSL_NO_FP_API 322int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); 323# endif 324 325/* the EC_KEY stuff */ 326typedef struct ec_key_st EC_KEY; 327 328/* some values for the encoding_flag */ 329# define EC_PKEY_NO_PARAMETERS 0x001 330# define EC_PKEY_NO_PUBKEY 0x002 331 332EC_KEY *EC_KEY_new(void); 333EC_KEY *EC_KEY_new_by_curve_name(int nid); 334void EC_KEY_free(EC_KEY *); 335EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *); 336EC_KEY *EC_KEY_dup(const EC_KEY *); 337 338int EC_KEY_up_ref(EC_KEY *); 339 340const EC_GROUP *EC_KEY_get0_group(const EC_KEY *); 341int EC_KEY_set_group(EC_KEY *, const EC_GROUP *); 342const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *); 343int EC_KEY_set_private_key(EC_KEY *, const BIGNUM *); 344const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *); 345int EC_KEY_set_public_key(EC_KEY *, const EC_POINT *); 346unsigned EC_KEY_get_enc_flags(const EC_KEY *); 347void EC_KEY_set_enc_flags(EC_KEY *, unsigned int); 348point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *); 349void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t); 350/* functions to set/get method specific data */ 351void *EC_KEY_get_key_method_data(EC_KEY *, 352 void *(*dup_func) (void *), 353 void (*free_func) (void *), 354 void (*clear_free_func) (void *)); 355/** Sets the key method data of an EC_KEY object, if none has yet been set. 356 * \param key EC_KEY object 357 * \param data opaque data to install. 358 * \param dup_func a function that duplicates |data|. 359 * \param free_func a function that frees |data|. 360 * \param clear_free_func a function that wipes and frees |data|. 361 * \return the previously set data pointer, or NULL if |data| was inserted. 362 */ 363void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data, 364 void *(*dup_func) (void *), 365 void (*free_func) (void *), 366 void (*clear_free_func) (void *)); 367/* wrapper functions for the underlying EC_GROUP object */ 368void EC_KEY_set_asn1_flag(EC_KEY *, int); 369int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx); 370 371/* EC_KEY_generate_key() creates a ec private (public) key */ 372int EC_KEY_generate_key(EC_KEY *); 373/* EC_KEY_check_key() */ 374int EC_KEY_check_key(const EC_KEY *); 375 376/* de- and encoding functions for SEC1 ECPrivateKey */ 377EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len); 378int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out); 379/* de- and encoding functions for EC parameters */ 380EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len); 381int i2d_ECParameters(EC_KEY *a, unsigned char **out); 382/* 383 * de- and encoding functions for EC public key (octet string, not DER -- 384 * hence 'o2i' and 'i2o') 385 */ 386EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len); 387int i2o_ECPublicKey(EC_KEY *a, unsigned char **out); 388 389# ifndef OPENSSL_NO_BIO 390int ECParameters_print(BIO *bp, const EC_KEY *x); 391int EC_KEY_print(BIO *bp, const EC_KEY *x, int off); 392# endif 393# ifndef OPENSSL_NO_FP_API 394int ECParameters_print_fp(FILE *fp, const EC_KEY *x); 395int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off); 396# endif 397 398# define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) 399 400# ifndef __cplusplus 401# if defined(__SUNPRO_C) 402# if __SUNPRO_C >= 0x520 403# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) 404# endif 405# endif 406# endif 407 408/* BEGIN ERROR CODES */ 409/* 410 * The following lines are auto generated by the script mkerr.pl. Any changes 411 * made after this point may be overwritten when the script is next run. 412 */ 413void ERR_load_EC_strings(void); 414 415/* Error codes for the EC functions. */ 416 417/* Function codes. */ 418# define EC_F_COMPUTE_WNAF 143 419# define EC_F_D2I_ECPARAMETERS 144 420# define EC_F_D2I_ECPKPARAMETERS 145 421# define EC_F_D2I_ECPRIVATEKEY 146 422# define EC_F_ECPARAMETERS_PRINT 147 423# define EC_F_ECPARAMETERS_PRINT_FP 148 424# define EC_F_ECPKPARAMETERS_PRINT 149 425# define EC_F_ECPKPARAMETERS_PRINT_FP 150 426# define EC_F_ECP_NIST_MOD_192 203 427# define EC_F_ECP_NIST_MOD_224 204 428# define EC_F_ECP_NIST_MOD_256 205 429# define EC_F_ECP_NIST_MOD_521 206 430# define EC_F_EC_ASN1_GROUP2CURVE 153 431# define EC_F_EC_ASN1_GROUP2FIELDID 154 432# define EC_F_EC_ASN1_GROUP2PARAMETERS 155 433# define EC_F_EC_ASN1_GROUP2PKPARAMETERS 156 434# define EC_F_EC_ASN1_PARAMETERS2GROUP 157 435# define EC_F_EC_ASN1_PKPARAMETERS2GROUP 158 436# define EC_F_EC_EX_DATA_SET_DATA 211 437# define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY 208 438# define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT 159 439# define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE 195 440# define EC_F_EC_GF2M_SIMPLE_OCT2POINT 160 441# define EC_F_EC_GF2M_SIMPLE_POINT2OCT 161 442# define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 443# define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 444# define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES 164 445# define EC_F_EC_GFP_MONT_FIELD_DECODE 133 446# define EC_F_EC_GFP_MONT_FIELD_ENCODE 134 447# define EC_F_EC_GFP_MONT_FIELD_MUL 131 448# define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE 209 449# define EC_F_EC_GFP_MONT_FIELD_SQR 132 450# define EC_F_EC_GFP_MONT_GROUP_SET_CURVE 189 451# define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP 135 452# define EC_F_EC_GFP_NIST_FIELD_MUL 200 453# define EC_F_EC_GFP_NIST_FIELD_SQR 201 454# define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202 455# define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165 456# define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166 457# define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100 458# define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101 459# define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102 460# define EC_F_EC_GFP_SIMPLE_OCT2POINT 103 461# define EC_F_EC_GFP_SIMPLE_POINT2OCT 104 462# define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137 463# define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167 464# define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 465# define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168 466# define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 467# define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169 468# define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 469# define EC_F_EC_GROUP_CHECK 170 470# define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171 471# define EC_F_EC_GROUP_COPY 106 472# define EC_F_EC_GROUP_GET0_GENERATOR 139 473# define EC_F_EC_GROUP_GET_COFACTOR 140 474# define EC_F_EC_GROUP_GET_CURVE_GF2M 172 475# define EC_F_EC_GROUP_GET_CURVE_GFP 130 476# define EC_F_EC_GROUP_GET_DEGREE 173 477# define EC_F_EC_GROUP_GET_ORDER 141 478# define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193 479# define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194 480# define EC_F_EC_GROUP_NEW 108 481# define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174 482# define EC_F_EC_GROUP_NEW_FROM_DATA 175 483# define EC_F_EC_GROUP_PRECOMPUTE_MULT 142 484# define EC_F_EC_GROUP_SET_CURVE_GF2M 176 485# define EC_F_EC_GROUP_SET_CURVE_GFP 109 486# define EC_F_EC_GROUP_SET_EXTRA_DATA 110 487# define EC_F_EC_GROUP_SET_GENERATOR 111 488# define EC_F_EC_KEY_CHECK_KEY 177 489# define EC_F_EC_KEY_COPY 178 490# define EC_F_EC_KEY_GENERATE_KEY 179 491# define EC_F_EC_KEY_NEW 182 492# define EC_F_EC_KEY_PRINT 180 493# define EC_F_EC_KEY_PRINT_FP 181 494# define EC_F_EC_POINTS_MAKE_AFFINE 136 495# define EC_F_EC_POINTS_MUL 138 496# define EC_F_EC_POINT_ADD 112 497# define EC_F_EC_POINT_CMP 113 498# define EC_F_EC_POINT_COPY 114 499# define EC_F_EC_POINT_DBL 115 500# define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183 501# define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116 502# define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117 503# define EC_F_EC_POINT_INVERT 210 504# define EC_F_EC_POINT_IS_AT_INFINITY 118 505# define EC_F_EC_POINT_IS_ON_CURVE 119 506# define EC_F_EC_POINT_MAKE_AFFINE 120 507# define EC_F_EC_POINT_MUL 184 508# define EC_F_EC_POINT_NEW 121 509# define EC_F_EC_POINT_OCT2POINT 122 510# define EC_F_EC_POINT_POINT2OCT 123 511# define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185 512# define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124 513# define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186 514# define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125 515# define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126 516# define EC_F_EC_POINT_SET_TO_INFINITY 127 517# define EC_F_EC_PRE_COMP_DUP 207 518# define EC_F_EC_PRE_COMP_NEW 196 519# define EC_F_EC_WNAF_MUL 187 520# define EC_F_EC_WNAF_PRECOMPUTE_MULT 188 521# define EC_F_I2D_ECPARAMETERS 190 522# define EC_F_I2D_ECPKPARAMETERS 191 523# define EC_F_I2D_ECPRIVATEKEY 192 524# define EC_F_I2O_ECPUBLICKEY 151 525# define EC_F_O2I_ECPUBLICKEY 152 526 527/* Reason codes. */ 528# define EC_R_ASN1_ERROR 115 529# define EC_R_ASN1_UNKNOWN_FIELD 116 530# define EC_R_BUFFER_TOO_SMALL 100 531# define EC_R_D2I_ECPKPARAMETERS_FAILURE 117 532# define EC_R_DISCRIMINANT_IS_ZERO 118 533# define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119 534# define EC_R_FIELD_TOO_LARGE 138 535# define EC_R_GROUP2PKPARAMETERS_FAILURE 120 536# define EC_R_I2D_ECPKPARAMETERS_FAILURE 121 537# define EC_R_INCOMPATIBLE_OBJECTS 101 538# define EC_R_INVALID_ARGUMENT 112 539# define EC_R_INVALID_COMPRESSED_POINT 110 540# define EC_R_INVALID_COMPRESSION_BIT 109 541# define EC_R_INVALID_ENCODING 102 542# define EC_R_INVALID_FIELD 103 543# define EC_R_INVALID_FORM 104 544# define EC_R_INVALID_GROUP_ORDER 122 545# define EC_R_INVALID_PENTANOMIAL_BASIS 132 546# define EC_R_INVALID_PRIVATE_KEY 123 547# define EC_R_INVALID_TRINOMIAL_BASIS 137 548# define EC_R_MISSING_PARAMETERS 124 549# define EC_R_MISSING_PRIVATE_KEY 125 550# define EC_R_NOT_A_NIST_PRIME 135 551# define EC_R_NOT_A_SUPPORTED_NIST_PRIME 136 552# define EC_R_NOT_IMPLEMENTED 126 553# define EC_R_NOT_INITIALIZED 111 554# define EC_R_NO_FIELD_MOD 133 555# define EC_R_PASSED_NULL_PARAMETER 134 556# define EC_R_PKPARAMETERS2GROUP_FAILURE 127 557# define EC_R_POINT_AT_INFINITY 106 558# define EC_R_POINT_IS_NOT_ON_CURVE 107 559# define EC_R_SLOT_FULL 108 560# define EC_R_UNDEFINED_GENERATOR 113 561# define EC_R_UNDEFINED_ORDER 128 562# define EC_R_UNKNOWN_GROUP 129 563# define EC_R_UNKNOWN_ORDER 114 564# define EC_R_UNSUPPORTED_FIELD 131 565# define EC_R_WRONG_ORDER 130 566 567#ifdef __cplusplus 568} 569#endif 570#endif 571