32bits/include/openssl/ec.h

   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
  88 extern "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
 100 typedef 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
 108 typedef struct ec_method_st EC_METHOD;
 109
 110 typedef 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
 121 typedef 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  */
 127 const EC_METHOD *EC_GFp_simple_method(void);
 128 const EC_METHOD *EC_GFp_mont_method(void);
 129 const EC_METHOD *EC_GFp_nist_method(void);
 130
 131 /* EC_METHOD for curves over GF(2^m).
 132  */
 133 const EC_METHOD *EC_GF2m_simple_method(void);
 134
 135
 136 EC_GROUP *EC_GROUP_new(const EC_METHOD *);
 137 void EC_GROUP_free(EC_GROUP *);
 138 void EC_GROUP_clear_free(EC_GROUP *);
 139 int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
 140 EC_GROUP *EC_GROUP_dup(const EC_GROUP *);
 141
 142 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
 143 int EC_METHOD_get_field_type(const EC_METHOD *);
 144
 145 int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
 146 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
 147 int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
 148 int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
 149
 150 void EC_GROUP_set_curve_name(EC_GROUP *, int nid);
 151 int EC_GROUP_get_curve_name(const EC_GROUP *);
 152
 153 void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag);
 154 int EC_GROUP_get_asn1_flag(const EC_GROUP *);
 155
 156 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
 157 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
 158
 159 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
 160 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
 161 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
 162
 163 int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 164 int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
 165 int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 166 int 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 */
 169 int EC_GROUP_get_degree(const EC_GROUP *);
 170
 171 /* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
 172 int 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 */
 175 int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
 176
 177 /* EC_GROUP_cmp() returns 0 if both groups are equal and 1 otherwise */
 178 int 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 */
 182 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
 183 EC_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) */
 187 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
 188 /* handling of internal curves */
 189 typedef 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 */
 197 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
 198
 199
 200 /* EC_POINT functions */
 201
 202 EC_POINT *EC_POINT_new(const EC_GROUP *);
 203 void EC_POINT_free(EC_POINT *);
 204 void EC_POINT_clear_free(EC_POINT *);
 205 int EC_POINT_copy(EC_POINT *, const EC_POINT *);
 206 EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *);
 207
 208 const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
 209
 210 int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
 211 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 212         const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
 213 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
 214         BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
 215 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 216         const BIGNUM *x, const BIGNUM *y, BN_CTX *);
 217 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
 218         BIGNUM *x, BIGNUM *y, BN_CTX *);
 219 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 220         const BIGNUM *x, int y_bit, BN_CTX *);
 221
 222 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
 223         const BIGNUM *x, const BIGNUM *y, BN_CTX *);
 224 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
 225         BIGNUM *x, BIGNUM *y, BN_CTX *);
 226 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
 227         const BIGNUM *x, int y_bit, BN_CTX *);
 228
 229 size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
 230         unsigned char *buf, size_t len, BN_CTX *);
 231 int 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: */
 235 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
 236         point_conversion_form_t form, BIGNUM *, BN_CTX *);
 237 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
 238         EC_POINT *, BN_CTX *);
 239 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
 240         point_conversion_form_t form, BN_CTX *);
 241 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
 242         EC_POINT *, BN_CTX *);
 243
 244 int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
 245 int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 246 int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 247
 248 int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 249 int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 250 int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
 251
 252 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 253 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
 254
 255
 256 int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
 257 int 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 */
 260 int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
 261 /* EC_GROUP_have_precompute_mult() reports whether such precomputation has been done */
 262 int 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 */
 270 int EC_GROUP_get_basis_type(const EC_GROUP *);
 271 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
 272 int 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
 277 typedef struct ecpk_parameters_st ECPKPARAMETERS;
 278
 279 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
 280 int 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
 290 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
 291 #endif
 292 #ifndef OPENSSL_NO_FP_API
 293 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
 294 #endif
 295
 296 /* the EC_KEY stuff */
 297 typedef 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
 303 EC_KEY *EC_KEY_new(void);
 304 EC_KEY *EC_KEY_new_by_curve_name(int nid);
 305 void EC_KEY_free(EC_KEY *);
 306 EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *);
 307 EC_KEY *EC_KEY_dup(const EC_KEY *);
 308
 309 int EC_KEY_up_ref(EC_KEY *);
 310
 311 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *);
 312 int EC_KEY_set_group(EC_KEY *, const EC_GROUP *);
 313 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *);
 314 int EC_KEY_set_private_key(EC_KEY *, const BIGNUM *);
 315 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *);
 316 int EC_KEY_set_public_key(EC_KEY *, const EC_POINT *);
 317 unsigned EC_KEY_get_enc_flags(const EC_KEY *);
 318 void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
 319 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
 320 void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
 321 /* functions to set/get method specific data  */
 322 void *EC_KEY_get_key_method_data(EC_KEY *,
 323         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
 324 void 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 */
 327 void EC_KEY_set_asn1_flag(EC_KEY *, int);
 328 int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx);
 329
 330 /* EC_KEY_generate_key() creates a ec private (public) key */
 331 int EC_KEY_generate_key(EC_KEY *);
 332 /* EC_KEY_check_key() */
 333 int EC_KEY_check_key(const EC_KEY *);
 334
 335 /* de- and encoding functions for SEC1 ECPrivateKey */
 336 EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len);
 337 int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out);
 338 /* de- and encoding functions for EC parameters */
 339 EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len);
 340 int 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') */
 343 EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len);
 344 int i2o_ECPublicKey(EC_KEY *a, unsigned char **out);
 345
 346 #ifndef OPENSSL_NO_BIO
 347 int     ECParameters_print(BIO *bp, const EC_KEY *x);
 348 int     EC_KEY_print(BIO *bp, const EC_KEY *x, int off);
 349 #endif
 350 #ifndef OPENSSL_NO_FP_API
 351 int     ECParameters_print_fp(FILE *fp, const EC_KEY *x);
 352 int     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  */
 369 void 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