crypto/ec/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 # ifndef OPENSSL_ECC_MAX_FIELD_BITS
  96 #  define OPENSSL_ECC_MAX_FIELD_BITS 661
  97 # endif
  98
  99 typedef 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
 106 typedef struct ec_method_st EC_METHOD;
 107
 108 typedef 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
 119 typedef 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  */
 125 const EC_METHOD *EC_GFp_simple_method(void);
 126 const EC_METHOD *EC_GFp_mont_method(void);
 127 const EC_METHOD *EC_GFp_nist_method(void);
 128
 129 /*
 130  * EC_METHOD for curves over GF(2^m).
 131  */
 132 const EC_METHOD *EC_GF2m_simple_method(void);
 133
 134 EC_GROUP *EC_GROUP_new(const EC_METHOD *);
 135 void EC_GROUP_free(EC_GROUP *);
 136 void EC_GROUP_clear_free(EC_GROUP *);
 137 int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
 138 EC_GROUP *EC_GROUP_dup(const EC_GROUP *);
 139
 140 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
 141 int EC_METHOD_get_field_type(const EC_METHOD *);
 142
 143 int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator,
 144                            const BIGNUM *order, const BIGNUM *cofactor);
 145 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
 146 int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
 147 int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_CTX *);
 148
 149 void EC_GROUP_set_curve_name(EC_GROUP *, int nid);
 150 int EC_GROUP_get_curve_name(const EC_GROUP *);
 151
 152 void EC_GROUP_set_asn1_flag(EC_GROUP *, int flag);
 153 int EC_GROUP_get_asn1_flag(const EC_GROUP *);
 154
 155 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
 156 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
 157
 158 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
 159 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
 160 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
 161
 162 int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 163                            const BIGNUM *b, BN_CTX *);
 164 int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b,
 165                            BN_CTX *);
 166 int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a,
 167                             const BIGNUM *b, BN_CTX *);
 168 int 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 */
 172 int EC_GROUP_get_degree(const EC_GROUP *);
 173
 174 /* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
 175 int 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  */
 180 int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
 181
 182 /* EC_GROUP_cmp() returns 0 if both groups are equal and 1 otherwise */
 183 int 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  */
 189 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
 190                                  const BIGNUM *b, BN_CTX *);
 191 EC_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  */
 198 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
 199 /* handling of internal curves */
 200 typedef 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  */
 210 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
 211
 212 /* EC_POINT functions */
 213
 214 EC_POINT *EC_POINT_new(const EC_GROUP *);
 215 void EC_POINT_free(EC_POINT *);
 216 void EC_POINT_clear_free(EC_POINT *);
 217 int EC_POINT_copy(EC_POINT *, const EC_POINT *);
 218 EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *);
 219
 220 const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
 221
 222 int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
 223 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 224                                              const BIGNUM *x, const BIGNUM *y,
 225                                              const BIGNUM *z, BN_CTX *);
 226 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *,
 227                                              const EC_POINT *, BIGNUM *x,
 228                                              BIGNUM *y, BIGNUM *z, BN_CTX *);
 229 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 230                                         const BIGNUM *x, const BIGNUM *y,
 231                                         BN_CTX *);
 232 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
 233                                         BIGNUM *x, BIGNUM *y, BN_CTX *);
 234 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
 235                                             const BIGNUM *x, int y_bit,
 236                                             BN_CTX *);
 237
 238 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
 239                                          const BIGNUM *x, const BIGNUM *y,
 240                                          BN_CTX *);
 241 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
 242                                          BIGNUM *x, BIGNUM *y, BN_CTX *);
 243 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
 244                                              const BIGNUM *x, int y_bit,
 245                                              BN_CTX *);
 246
 247 size_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 *);
 250 int 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: */
 254 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
 255                           point_conversion_form_t form, BIGNUM *, BN_CTX *);
 256 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
 257                             EC_POINT *, BN_CTX *);
 258 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
 259                          point_conversion_form_t form, BN_CTX *);
 260 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
 261                              EC_POINT *, BN_CTX *);
 262
 263 int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a,
 264                  const EC_POINT *b, BN_CTX *);
 265 int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
 266 int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
 267
 268 int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
 269 int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
 270 int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b,
 271                  BN_CTX *);
 272
 273 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 274 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[],
 275                           BN_CTX *);
 276
 277 int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num,
 278                   const EC_POINT *[], const BIGNUM *[], BN_CTX *);
 279 int 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  */
 286 int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
 287 /*
 288  * EC_GROUP_have_precompute_mult() reports whether such precomputation has
 289  * been done
 290  */
 291 int 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  */
 299 int EC_GROUP_get_basis_type(const EC_GROUP *);
 300 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
 301 int 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
 306 typedef struct ecpk_parameters_st ECPKPARAMETERS;
 307
 308 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
 309 int 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
 319 int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
 320 # endif
 321 # ifndef OPENSSL_NO_FP_API
 322 int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
 323 # endif
 324
 325 /* the EC_KEY stuff */
 326 typedef 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
 332 EC_KEY *EC_KEY_new(void);
 333 EC_KEY *EC_KEY_new_by_curve_name(int nid);
 334 void EC_KEY_free(EC_KEY *);
 335 EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *);
 336 EC_KEY *EC_KEY_dup(const EC_KEY *);
 337
 338 int EC_KEY_up_ref(EC_KEY *);
 339
 340 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *);
 341 int EC_KEY_set_group(EC_KEY *, const EC_GROUP *);
 342 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *);
 343 int EC_KEY_set_private_key(EC_KEY *, const BIGNUM *);
 344 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *);
 345 int EC_KEY_set_public_key(EC_KEY *, const EC_POINT *);
 346 unsigned EC_KEY_get_enc_flags(const EC_KEY *);
 347 void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
 348 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
 349 void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
 350 /* functions to set/get method specific data  */
 351 void *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  */
 363 void *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 */
 368 void EC_KEY_set_asn1_flag(EC_KEY *, int);
 369 int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx);
 370
 371 /* EC_KEY_generate_key() creates a ec private (public) key */
 372 int EC_KEY_generate_key(EC_KEY *);
 373 /* EC_KEY_check_key() */
 374 int EC_KEY_check_key(const EC_KEY *);
 375
 376 /* de- and encoding functions for SEC1 ECPrivateKey */
 377 EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len);
 378 int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out);
 379 /* de- and encoding functions for EC parameters */
 380 EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len);
 381 int 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  */
 386 EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len);
 387 int i2o_ECPublicKey(EC_KEY *a, unsigned char **out);
 388
 389 # ifndef OPENSSL_NO_BIO
 390 int ECParameters_print(BIO *bp, const EC_KEY *x);
 391 int EC_KEY_print(BIO *bp, const EC_KEY *x, int off);
 392 # endif
 393 # ifndef OPENSSL_NO_FP_API
 394 int ECParameters_print_fp(FILE *fp, const EC_KEY *x);
 395 int 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  */
 413 void 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