crypto/ec/ec.h

   1 /* crypto/ec/ec.h */
   2 /*
   3  * Originally written by Bodo Moeller for the OpenSSL project.
   4  */
   5 /**
   6  * \file crypto/ec/ec.h Include file for the OpenSSL EC functions
   7  * \author Originally written by Bodo Moeller for the OpenSSL project
   8  */
   9 /* ====================================================================
  10  * Copyright (c) 1998-2005 The OpenSSL Project.  All rights reserved.
  11  *
  12  * Redistribution and use in source and binary forms, with or without
  13  * modification, are permitted provided that the following conditions
  14  * are met:
  15  *
  16  * 1. Redistributions of source code must retain the above copyright
  17  *    notice, this list of conditions and the following disclaimer.
  18  *
  19  * 2. Redistributions in binary form must reproduce the above copyright
  20  *    notice, this list of conditions and the following disclaimer in
  21  *    the documentation and/or other materials provided with the
  22  *    distribution.
  23  *
  24  * 3. All advertising materials mentioning features or use of this
  25  *    software must display the following acknowledgment:
  26  *    "This product includes software developed by the OpenSSL Project
  27  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)"
  28  *
  29  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
  30  *    endorse or promote products derived from this software without
  31  *    prior written permission. For written permission, please contact
  32  *    openssl-core@openssl.org.
  33  *
  34  * 5. Products derived from this software may not be called "OpenSSL"
  35  *    nor may "OpenSSL" appear in their names without prior written
  36  *    permission of the OpenSSL Project.
  37  *
  38  * 6. Redistributions of any form whatsoever must retain the following
  39  *    acknowledgment:
  40  *    "This product includes software developed by the OpenSSL Project
  41  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)"
  42  *
  43  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
  44  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
  45  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
  46  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR
  47  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
  48  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
  49  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
  50  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
  51  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
  52  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
  53  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
  54  * OF THE POSSIBILITY OF SUCH DAMAGE.
  55  * ====================================================================
  56  *
  57  * This product includes cryptographic software written by Eric Young
  58  * (eay@cryptsoft.com).  This product includes software written by Tim
  59  * Hudson (tjh@cryptsoft.com).
  60  *
  61  */
  62 /* ====================================================================
  63  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED.
  64  *
  65  * Portions of the attached software ("Contribution") are developed by
  66  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project.
  67  *
  68  * The Contribution is licensed pursuant to the OpenSSL open source
  69  * license provided above.
  70  *
  71  * The elliptic curve binary polynomial software is originally written by
  72  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories.
  73  *
  74  */
  75
  76 #ifndef HEADER_EC_H
  77 #define HEADER_EC_H
  78
  79 #include <openssl/opensslconf.h>
  80
  81 #ifdef OPENSSL_NO_EC
  82 #error EC is disabled.
  83 #endif
  84
  85 #include <openssl/asn1.h>
  86 #include <openssl/symhacks.h>
  87 #ifndef OPENSSL_NO_DEPRECATED
  88 #include <openssl/bn.h>
  89 #endif
  90
  91 #ifdef  __cplusplus
  92 extern "C" {
  93 #elif defined(__SUNPRO_C)
  94 # if __SUNPRO_C >= 0x520
  95 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
  96 # endif
  97 #endif
  98
  99 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
 100  *  for the encoding of a elliptic curve point (x,y) */
 101 typedef enum {
 102         /** the point is encoded as z||x, where the octet z specifies
 103          *  which solution of the quadratic equation y is  */
 104         POINT_CONVERSION_COMPRESSED = 2,
 105         /** the point is encoded as z||x||y, where z is the octet 0x02  */
 106         POINT_CONVERSION_UNCOMPRESSED = 4,
 107         /** the point is encoded as z||x||y, where the octet z specifies
 108          *  which solution of the quadratic equation y is  */
 109         POINT_CONVERSION_HYBRID = 6
 110 } point_conversion_form_t;
 111
 112
 113 typedef struct ec_method_st EC_METHOD;
 114
 115 typedef struct ec_group_st
 116         /*
 117          EC_METHOD *meth;
 118          -- field definition
 119          -- curve coefficients
 120          -- optional generator with associated information (order, cofactor)
 121          -- optional extra data (precomputed table for fast computation of multiples of generator)
 122          -- ASN1 stuff
 123         */
 124         EC_GROUP;
 125
 126 typedef struct ec_point_st EC_POINT;
 127
 128
 129 /********************************************************************/
 130 /*               EC_METHODs for curves over GF(p)                   */
 131 /********************************************************************/
 132
 133 /** Returns the basic GFp ec methods which provides the basis for the
 134  *  optimized methods.
 135  *  \return  EC_METHOD object
 136  */
 137 const EC_METHOD *EC_GFp_simple_method(void);
 138
 139 /** Returns GFp methods using montgomery multiplication.
 140  *  \return  EC_METHOD object
 141  */
 142 const EC_METHOD *EC_GFp_mont_method(void);
 143
 144 /** Returns GFp methods using optimized methods for NIST recommended curves
 145  *  \return  EC_METHOD object
 146  */
 147 const EC_METHOD *EC_GFp_nist_method(void);
 148
 149
 150 /********************************************************************/
 151 /*           EC_METHOD for curves over GF(2^m)                      */
 152 /********************************************************************/
 153
 154 /** Returns the basic GF2m ec method
 155  *  \return  EC_METHOD object
 156  */
 157 const EC_METHOD *EC_GF2m_simple_method(void);
 158
 159
 160 /********************************************************************/
 161 /*                   EC_GROUP functions                             */
 162 /********************************************************************/
 163
 164 /** Creates a new EC_GROUP object
 165  *  \param   meth  EC_METHOD to use
 166  *  \return  newly created EC_GROUP object or NULL in case of an error.
 167  */
 168 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
 169
 170 /** Frees a EC_GROUP object
 171  *  \param  group  EC_GROUP object to be freed.
 172  */
 173 void EC_GROUP_free(EC_GROUP *group);
 174
 175 /** Clears and frees a EC_GROUP object
 176  *  \param  group  EC_GROUP object to be cleared and freed.
 177  */
 178 void EC_GROUP_clear_free(EC_GROUP *group);
 179
 180 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
 181  *  \param  dst  destination EC_GROUP object
 182  *  \param  src  source EC_GROUP object
 183  *  \return 1 on success and 0 if an error occurred.
 184  */
 185 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
 186
 187 /** Creates a new EC_GROUP object and copies the copies the content
 188  *  form src to the newly created EC_KEY object
 189  *  \param  src  source EC_GROUP object
 190  *  \return newly created EC_GROUP object or NULL in case of an error.
 191  */
 192 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
 193
 194 /** Returns the EC_METHOD of the EC_GROUP object.
 195  *  \param  group  EC_GROUP object
 196  *  \return EC_METHOD used in this EC_GROUP object.
 197  */
 198 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
 199
 200 /** Returns the field type of the EC_METHOD.
 201  *  \param  meth  EC_METHOD object
 202  *  \return NID of the underlying field type OID.
 203  */
 204 int EC_METHOD_get_field_type(const EC_METHOD *meth);
 205
 206 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
 207  *  \param  group      EC_GROUP object
 208  *  \param  generator  EC_POINT object with the generator.
 209  *  \param  order      the order of the group generated by the generator.
 210  *  \param  cofactor   the index of the sub-group generated by the generator
 211  *                     in the group of all points on the elliptic curve.
 212  *  \return 1 on success and 0 if an error occured
 213  */
 214 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
 215
 216 /** Returns the generator of a EC_GROUP object.
 217  *  \param  group  EC_GROUP object
 218  *  \return the currently used generator (possibly NULL).
 219  */
 220 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
 221
 222 /** Gets the order of a EC_GROUP
 223  *  \param  group  EC_GROUP object
 224  *  \param  order  BIGNUM to which the order is copied
 225  *  \param  ctx    BN_CTX object (optional)
 226  *  \return 1 on success and 0 if an error occured
 227  */
 228 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
 229
 230 /** Gets the cofactor of a EC_GROUP
 231  *  \param  group     EC_GROUP object
 232  *  \param  cofactor  BIGNUM to which the cofactor is copied
 233  *  \param  ctx       BN_CTX object (optional)
 234  *  \return 1 on success and 0 if an error occured
 235  */
 236 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
 237
 238 /** Sets the name of a EC_GROUP object
 239  *  \param  group  EC_GROUP object
 240  *  \param  nid    NID of the curve name OID
 241  */
 242 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
 243
 244 /** Returns the curve name of a EC_GROUP object
 245  *  \param  group  EC_GROUP object
 246  *  \return NID of the curve name OID or 0 if not set.
 247  */
 248 int EC_GROUP_get_curve_name(const EC_GROUP *group);
 249
 250 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
 251 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
 252
 253 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
 254 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
 255
 256 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
 257 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
 258 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
 259
 260 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
 261  *  \param  group  EC_GROUP object
 262  *  \param  p      BIGNUM with the prime number
 263  *  \param  a      BIGNUM with parameter a of the equation
 264  *  \param  b      BIGNUM with parameter b of the equation
 265  *  \param  ctx    BN_CTX object (optional)
 266  *  \return 1 on success and 0 if an error occured
 267  */
 268 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 269
 270 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
 271  *  \param  group  EC_GROUP object
 272  *  \param  p      BIGNUM for the prime number
 273  *  \param  a      BIGNUM for parameter a of the equation
 274  *  \param  b      BIGNUM for parameter b of the equation
 275  *  \param  ctx    BN_CTX object (optional)
 276  *  \return 1 on success and 0 if an error occured
 277  */
 278 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
 279
 280 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
 281  *  \param  group  EC_GROUP object
 282  *  \param  p      BIGNUM with the polynomial defining the underlying field
 283  *  \param  a      BIGNUM with parameter a of the equation
 284  *  \param  b      BIGNUM with parameter b of the equation
 285  *  \param  ctx    BN_CTX object (optional)
 286  *  \return 1 on success and 0 if an error occured
 287  */
 288 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 289
 290 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
 291  *  \param  group  EC_GROUP object
 292  *  \param  p      BIGNUM for the polynomial defining the underlying field
 293  *  \param  a      BIGNUM for parameter a of the equation
 294  *  \param  b      BIGNUM for parameter b of the equation
 295  *  \param  ctx    BN_CTX object (optional)
 296  *  \return 1 on success and 0 if an error occured
 297  */
 298 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
 299
 300 /** Returns the number of bits needed to represent a field element
 301  *  \param  group  EC_GROUP object
 302  *  \return number of bits needed to represent a field element
 303  */
 304 int EC_GROUP_get_degree(const EC_GROUP *group);
 305
 306 /** Checks whether the parameter in the EC_GROUP define a valid ec group
 307  *  \param  group  EC_GROUP object
 308  *  \param  ctx    BN_CTX object (optional)
 309  *  \return 1 if group is a valid ec group and 0 otherwise
 310  */
 311 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
 312
 313 /** Checks whether the discriminant of the elliptic curve is zero or not
 314  *  \param  group  EC_GROUP object
 315  *  \param  ctx    BN_CTX object (optional)
 316  *  \return 1 if the discriminant is not zero and 0 otherwise
 317  */
 318 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
 319
 320 /** Compares two EC_GROUP objects
 321  *  \param  a    first EC_GROUP object
 322  *  \param  b    second EC_GROUP object
 323  *  \param  ctx  BN_CTX object (optional)
 324  *  \return 0 if both groups are equal and 1 otherwise
 325  */
 326 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
 327
 328 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
 329  * after choosing an appropriate EC_METHOD */
 330
 331 /** Creates a new EC_GROUP object with the specified parameters defined
 332  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
 333  *  \param  p    BIGNUM with the prime number
 334  *  \param  a    BIGNUM with the parameter a of the equation
 335  *  \param  b    BIGNUM with the parameter b of the equation
 336  *  \param  ctx  BN_CTX object (optional)
 337  *  \return newly created EC_GROUP object with the specified parameters
 338  */
 339 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 340
 341 /** Creates a new EC_GROUP object with the specified parameters defined
 342  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
 343  *  \param  p    BIGNUM with the polynomial defining the underlying field
 344  *  \param  a    BIGNUM with the parameter a of the equation
 345  *  \param  b    BIGNUM with the parameter b of the equation
 346  *  \param  ctx  BN_CTX object (optional)
 347  *  \return newly created EC_GROUP object with the specified parameters
 348  */
 349 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 350
 351 /** Creates a EC_GROUP object with a curve specified by a NID
 352  *  \param  nid  NID of the OID of the curve name
 353  *  \return newly created EC_GROUP object with specified curve or NULL
 354  *          if an error occurred
 355  */
 356 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
 357
 358
 359 /********************************************************************/
 360 /*               handling of internal curves                        */
 361 /********************************************************************/
 362
 363 typedef struct {
 364         int nid;
 365         const char *comment;
 366         } EC_builtin_curve;
 367
 368 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
 369  * of all available curves or zero if a error occurred.
 370  * In case r ist not zero nitems EC_builtin_curve structures
 371  * are filled with the data of the first nitems internal groups */
 372 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
 373
 374
 375 /********************************************************************/
 376 /*                    EC_POINT functions                            */
 377 /********************************************************************/
 378
 379 /** Creates a new EC_POINT object for the specified EC_GROUP
 380  *  \param  group  EC_GROUP the underlying EC_GROUP object
 381  *  \return newly created EC_POINT object or NULL if an error occurred
 382  */
 383 EC_POINT *EC_POINT_new(const EC_GROUP *group);
 384
 385 /** Frees a EC_POINT object
 386  *  \param  point  EC_POINT object to be freed
 387  */
 388 void EC_POINT_free(EC_POINT *point);
 389
 390 /** Clears and frees a EC_POINT object
 391  *  \param  point  EC_POINT object to be cleared and freed
 392  */
 393 void EC_POINT_clear_free(EC_POINT *point);
 394
 395 /** Copies EC_POINT object
 396  *  \param  dst  destination EC_POINT object
 397  *  \param  src  source EC_POINT object
 398  *  \return 1 on success and 0 if an error occured
 399  */
 400 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
 401
 402 /** Creates a new EC_POINT object and copies the content of the supplied
 403  *  EC_POINT
 404  *  \param  src    source EC_POINT object
 405  *  \param  group  underlying the EC_GROUP object
 406  *  \return newly created EC_POINT object or NULL if an error occurred
 407  */
 408 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
 409
 410 /** Returns the EC_METHOD used in EC_POINT object
 411  *  \param  point  EC_POINT object
 412  *  \return the EC_METHOD used
 413  */
 414 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
 415
 416 /** Sets a point to infinity (neutral element)
 417  *  \param  group  underlying EC_GROUP object
 418  *  \param  point  EC_POINT to set to infinity
 419  *  \return 1 on success and 0 if an error occured
 420  */
 421 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
 422
 423 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
 424  *  \param  group  underlying EC_GROUP object
 425  *  \param  p      EC_POINT object
 426  *  \param  x      BIGNUM with the x-coordinate
 427  *  \param  y      BIGNUM with the y-coordinate
 428  *  \param  z      BIGNUM with the z-coordinate
 429  *  \param  ctx    BN_CTX object (optional)
 430  *  \return 1 on success and 0 if an error occured
 431  */
 432 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 433         const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
 434
 435 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
 436  *  \param  group  underlying EC_GROUP object
 437  *  \param  p      EC_POINT object
 438  *  \param  x      BIGNUM for the x-coordinate
 439  *  \param  y      BIGNUM for the y-coordinate
 440  *  \param  z      BIGNUM for the z-coordinate
 441  *  \param  ctx    BN_CTX object (optional)
 442  *  \return 1 on success and 0 if an error occured
 443  */
 444 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
 445         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
 446
 447 /** Sets the affine coordinates of a EC_POINT over GFp
 448  *  \param  group  underlying EC_GROUP object
 449  *  \param  p      EC_POINT object
 450  *  \param  x      BIGNUM with the x-coordinate
 451  *  \param  y      BIGNUM with the y-coordinate
 452  *  \param  ctx    BN_CTX object (optional)
 453  *  \return 1 on success and 0 if an error occured
 454  */
 455 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 456         const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
 457
 458 /** Gets the affine coordinates of a EC_POINT over GFp
 459  *  \param  group  underlying EC_GROUP object
 460  *  \param  p      EC_POINT object
 461  *  \param  x      BIGNUM for the x-coordinate
 462  *  \param  y      BIGNUM for the y-coordinate
 463  *  \param  ctx    BN_CTX object (optional)
 464  *  \return 1 on success and 0 if an error occured
 465  */
 466 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
 467         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
 468
 469 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
 470  *  \param  group  underlying EC_GROUP object
 471  *  \param  p      EC_POINT object
 472  *  \param  x      BIGNUM with x-coordinate
 473  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
 474  *  \param  ctx    BN_CTX object (optional)
 475  *  \return 1 on success and 0 if an error occured
 476  */
 477 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 478         const BIGNUM *x, int y_bit, BN_CTX *ctx);
 479
 480 /** Sets the affine coordinates of a EC_POINT over GF2m
 481  *  \param  group  underlying EC_GROUP object
 482  *  \param  p      EC_POINT object
 483  *  \param  x      BIGNUM with the x-coordinate
 484  *  \param  y      BIGNUM with the y-coordinate
 485  *  \param  ctx    BN_CTX object (optional)
 486  *  \return 1 on success and 0 if an error occured
 487  */
 488 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
 489         const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
 490
 491 /** Gets the affine coordinates of a EC_POINT over GF2m
 492  *  \param  group  underlying EC_GROUP object
 493  *  \param  p      EC_POINT object
 494  *  \param  x      BIGNUM for the x-coordinate
 495  *  \param  y      BIGNUM for the y-coordinate
 496  *  \param  ctx    BN_CTX object (optional)
 497  *  \return 1 on success and 0 if an error occured
 498  */
 499 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
 500         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
 501
 502 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
 503  *  \param  group  underlying EC_GROUP object
 504  *  \param  p      EC_POINT object
 505  *  \param  x      BIGNUM with x-coordinate
 506  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
 507  *  \param  ctx    BN_CTX object (optional)
 508  *  \return 1 on success and 0 if an error occured
 509  */
 510 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
 511         const BIGNUM *x, int y_bit, BN_CTX *ctx);
 512
 513 /** Encodes a EC_POINT object to a octet string
 514  *  \param  group  underlying EC_GROUP object
 515  *  \param  p      EC_POINT object
 516  *  \param  form   point conversion form
 517  *  \param  buf    memory buffer for the result. If NULL the function returns
 518  *                 required buffer size.
 519  *  \param  len    length of the memory buffer
 520  *  \param  ctx    BN_CTX object (optional)
 521  *  \return the length of the encoded octet string or 0 if an error occurred
 522  */
 523 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
 524         point_conversion_form_t form,
 525         unsigned char *buf, size_t len, BN_CTX *ctx);
 526
 527 /** Decodes a EC_POINT from a octet string
 528  *  \param  group  underlying EC_GROUP object
 529  *  \param  p      EC_POINT object
 530  *  \param  buf    memory buffer with the encoded ec point
 531  *  \param  len    length of the encoded ec point
 532  *  \param  ctx    BN_CTX object (optional)
 533  *  \return 1 on success and 0 if an error occured
 534  */
 535 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
 536         const unsigned char *buf, size_t len, BN_CTX *ctx);
 537
 538 /* other interfaces to point2oct/oct2point: */
 539 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
 540         point_conversion_form_t form, BIGNUM *, BN_CTX *);
 541 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
 542         EC_POINT *, BN_CTX *);
 543 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
 544         point_conversion_form_t form, BN_CTX *);
 545 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
 546         EC_POINT *, BN_CTX *);
 547
 548
 549 /********************************************************************/
 550 /*         functions for doing EC_POINT arithmetic                  */
 551 /********************************************************************/
 552
 553 /** Computes the sum of two EC_POINT
 554  *  \param  group  underlying EC_GROUP object
 555  *  \param  r      EC_POINT object for the result (r = a + b)
 556  *  \param  a      EC_POINT object with the first summand
 557  *  \param  b      EC_POINT object with the second summand
 558  *  \param  ctx    BN_CTX object (optional)
 559  *  \return 1 on success and 0 if an error occured
 560  */
 561 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
 562
 563 /** Computes the double of a EC_POINT
 564  *  \param  group  underlying EC_GROUP object
 565  *  \param  r      EC_POINT object for the result (r = 2 * a)
 566  *  \param  a      EC_POINT object
 567  *  \param  ctx    BN_CTX object (optional)
 568  *  \return 1 on success and 0 if an error occured
 569  */
 570 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
 571
 572 /** Computes the inverse of a EC_POINT
 573  *  \param  group  underlying EC_GROUP object
 574  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
 575  *  \param  ctx    BN_CTX object (optional)
 576  *  \return 1 on success and 0 if an error occured
 577  */
 578 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
 579
 580 /** Checks whether the point is the neutral element of the group
 581  *  \param  group  the underlying EC_GROUP object
 582  *  \param  p      EC_POINT object
 583  *  \return 1 if the point is the neutral element and 0 otherwise
 584  */
 585 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
 586
 587 /** Checks whether the point is on the curve
 588  *  \param  group  underlying EC_GROUP object
 589  *  \param  point  EC_POINT object to check
 590  *  \param  ctx    BN_CTX object (optional)
 591  *  \return 1 if point if on the curve and 0 otherwise
 592  */
 593 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
 594
 595 /** Compares two EC_POINTs
 596  *  \param  group  underlying EC_GROUP object
 597  *  \param  a      first EC_POINT object
 598  *  \param  b      second EC_POINT object
 599  *  \param  ctx    BN_CTX object (optional)
 600  *  \return 0 if both points are equal and a value != 0 otherwise
 601  */
 602 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
 603
 604 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 605 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
 606
 607 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
 608  *  \param  group  underlying EC_GROUP object
 609  *  \param  r      EC_POINT object for the result
 610  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
 611  *  \param  num    number futher summands
 612  *  \param  p      array of size num of EC_POINT objects
 613  *  \param  m      array of size num of BIGNUM objects
 614  *  \param  ctx    BN_CTX object (optional)
 615  *  \return 1 on success and 0 if an error occured
 616  */
 617 int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
 618
 619 /** Computes r = generator * n + q * m
 620  *  \param  group  underlying EC_GROUP object
 621  *  \param  r      EC_POINT object for the result
 622  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
 623  *  \param  q      EC_POINT object with the first factor of the second summand
 624  *  \param  m      BIGNUM with the second factor of the second summand
 625  *  \param  ctx    BN_CTX object (optional)
 626  *  \return 1 on success and 0 if an error occured
 627  */
 628 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
 629
 630 /** Stores multiples of generator for faster point multiplication
 631  *  \param  group  EC_GROUP object
 632  *  \param  ctx    BN_CTX object (optional)
 633  *  \return 1 on success and 0 if an error occured
 634  */
 635 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 636
 637 /** Reports whether a precomputation has been done
 638  *  \param  group  EC_GROUP object
 639  *  \return 1 if a pre-computation has been done and 0 otherwise
 640  */
 641 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
 642
 643
 644 /********************************************************************/
 645 /*                       ASN1 stuff                                 */
 646 /********************************************************************/
 647
 648 /* EC_GROUP_get_basis_type() returns the NID of the basis type
 649  * used to represent the field elements */
 650 int EC_GROUP_get_basis_type(const EC_GROUP *);
 651 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
 652 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
 653         unsigned int *k2, unsigned int *k3);
 654
 655 #define OPENSSL_EC_NAMED_CURVE  0x001
 656
 657 typedef struct ecpk_parameters_st ECPKPARAMETERS;
 658
 659 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
 660 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
 661
 662 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
 663 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
 664 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
 665                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
 666 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
 667                 (unsigned char *)(x))
 668
 669 #ifndef OPENSSL_NO_BIO
 670 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
 671 #endif
 672 #ifndef OPENSSL_NO_FP_API
 673 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
 674 #endif
 675
 676
 677 /********************************************************************/
 678 /*                      EC_KEY functions                            */
 679 /********************************************************************/
 680
 681 typedef struct ec_key_st EC_KEY;
 682
 683 /* some values for the encoding_flag */
 684 #define EC_PKEY_NO_PARAMETERS   0x001
 685 #define EC_PKEY_NO_PUBKEY       0x002
 686
 687 /** Creates a new EC_KEY object.
 688  *  \return EC_KEY object or NULL if an error occurred.
 689  */
 690 EC_KEY *EC_KEY_new(void);
 691
 692 /** Creates a new EC_KEY object using a named curve as underlying
 693  *  EC_GROUP object.
 694  *  \param  nid  NID of the named curve.
 695  *  \return EC_KEY object or NULL if an error occurred.
 696  */
 697 EC_KEY *EC_KEY_new_by_curve_name(int nid);
 698
 699 /** Frees a EC_KEY object.
 700  *  \param  key  EC_KEY object to be freed.
 701  */
 702 void EC_KEY_free(EC_KEY *key);
 703
 704 /** Copies a EC_KEY object.
 705  *  \param  dst  destination EC_KEY object
 706  *  \param  src  src EC_KEY object
 707  *  \return dst or NULL if an error occurred.
 708  */
 709 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
 710
 711 /** Creates a new EC_KEY object and copies the content from src to it.
 712  *  \param  src  the source EC_KEY object
 713  *  \return newly created EC_KEY object or NULL if an error occurred.
 714  */
 715 EC_KEY *EC_KEY_dup(const EC_KEY *src);
 716
 717 /** Increases the internal reference count of a EC_KEY object.
 718  *  \param  key  EC_KEY object
 719  *  \return 1 on success and 0 if an error occurred.
 720  */
 721 int EC_KEY_up_ref(EC_KEY *key);
 722
 723 /** Returns the EC_GROUP object of a EC_KEY object
 724  *  \param  key  EC_KEY object
 725  *  \return the EC_GROUP object (possibly NULL).
 726  */
 727 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
 728
 729 /** Sets the EC_GROUP of a EC_KEY object.
 730  *  \param  key    EC_KEY object
 731  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
 732  *                 object will use an own copy of the EC_GROUP).
 733  *  \return 1 on success and 0 if an error occurred.
 734  */
 735 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
 736
 737 /** Returns the private key of a EC_KEY object.
 738  *  \param  key  EC_KEY object
 739  *  \return a BIGNUM with the private key (possibly NULL).
 740  */
 741 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
 742
 743 /** Sets the private key of a EC_KEY object.
 744  *  \param  key  EC_KEY object
 745  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
 746  *               will use an own copy of the BIGNUM).
 747  *  \return 1 on success and 0 if an error occurred.
 748  */
 749 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
 750
 751 /** Returns the public key of a EC_KEY object.
 752  *  \param  key  the EC_KEY object
 753  *  \return a EC_POINT object with the public key (possibly NULL)
 754  */
 755 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
 756
 757 /** Sets the public key of a EC_KEY object.
 758  *  \param  key  EC_KEY object
 759  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
 760  *               will use an own copy of the EC_POINT object).
 761  *  \return 1 on success and 0 if an error occurred.
 762  */
 763 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
 764
 765 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
 766 void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
 767 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
 768 void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
 769 /* functions to set/get method specific data  */
 770 void *EC_KEY_get_key_method_data(EC_KEY *,
 771         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
 772 void EC_KEY_insert_key_method_data(EC_KEY *, void *data,
 773         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
 774 /* wrapper functions for the underlying EC_GROUP object */
 775 void EC_KEY_set_asn1_flag(EC_KEY *, int);
 776
 777 /** Creates a table of pre-computed multiples of the generator to
 778  *  accelerate further EC_KEY operations.
 779  *  \param  key  EC_KEY object
 780  *  \param  ctx  BN_CTX object (optional)
 781  *  \return 1 on success and 0 if an error occurred.
 782  */
 783 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
 784
 785 /** Creates a new ec private (and optional a new public) key.
 786  *  \param  key  EC_KEY object
 787  *  \return 1 on success and 0 if an error occurred.
 788  */
 789 int EC_KEY_generate_key(EC_KEY *key);
 790
 791 /** Verifies that a private and/or public key is valid.
 792  *  \param  key  the EC_KEY object
 793  *  \return 1 on success and 0 otherwise.
 794  */
 795 int EC_KEY_check_key(const EC_KEY *key);
 796
 797
 798 /********************************************************************/
 799 /*        de- and encoding functions for SEC1 ECPrivateKey          */
 800 /********************************************************************/
 801
 802 /** Decodes a private key from a memory buffer.
 803  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
 804  *  \param  in   pointer to memory with the DER encoded private key
 805  *  \param  len  length of the DER encoded private key
 806  *  \return the decoded private key or NULL if an error occurred.
 807  */
 808 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
 809
 810 /** Encodes a private key object and stores the result in a buffer.
 811  *  \param  key  the EC_KEY object to encode
 812  *  \param  out  the buffer for the result (if NULL the function returns number
 813  *               of bytes needed).
 814  *  \return 1 on success and 0 if an error occurred.
 815  */
 816 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
 817
 818
 819 /********************************************************************/
 820 /*        de- and encoding functions for EC parameters              */
 821 /********************************************************************/
 822
 823 /** Decodes ec parameter from a memory buffer.
 824  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
 825  *  \param  in   pointer to memory with the DER encoded ec parameters
 826  *  \param  len  length of the DER encoded ec parameters
 827  *  \return a EC_KEY object with the decoded parameters or NULL if an error
 828  *          occurred.
 829  */
 830 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
 831
 832 /** Encodes ec parameter and stores the result in a buffer.
 833  *  \param  key  the EC_KEY object with ec paramters to encode
 834  *  \param  out  the buffer for the result (if NULL the function returns number
 835  *               of bytes needed).
 836  *  \return 1 on success and 0 if an error occurred.
 837  */
 838 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
 839
 840
 841 /********************************************************************/
 842 /*         de- and encoding functions for EC public key             */
 843 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
 844 /********************************************************************/
 845
 846 /** Decodes a ec public key from a octet string.
 847  *  \param  key  a pointer to a EC_KEY object which should be used
 848  *  \param  in   memory buffer with the encoded public key
 849  *  \param  len  length of the encoded public key
 850  *  \return EC_KEY object with decoded public key or NULL if an error
 851  *          occurred.
 852  */
 853 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
 854
 855 /** Encodes a ec public key in an octet string.
 856  *  \param  key  the EC_KEY object with the public key
 857  *  \param  out  the buffer for the result (if NULL the function returns number
 858  *               of bytes needed).
 859  *  \return 1 on success and 0 if an error occurred
 860  */
 861 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
 862
 863 #ifndef OPENSSL_NO_BIO
 864 /** Prints out the ec parameters on human readable form.
 865  *  \param  bp   BIO object to which the information is printed
 866  *  \param  key  EC_KEY object
 867  *  \return 1 on success and 0 if an error occurred
 868  */
 869 int     ECParameters_print(BIO *bp, const EC_KEY *key);
 870
 871 /** Prints out the contents of a EC_KEY object
 872  *  \param  bp   BIO object to which the information is printed
 873  *  \param  key  EC_KEY object
 874  *  \param  off  line offset
 875  *  \return 1 on success and 0 if an error occurred
 876  */
 877 int     EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
 878
 879 #endif
 880 #ifndef OPENSSL_NO_FP_API
 881 /** Prints out the ec parameters on human readable form.
 882  *  \param  fp   file descriptor to which the information is printed
 883  *  \param  key  EC_KEY object
 884  *  \return 1 on success and 0 if an error occurred
 885  */
 886 int     ECParameters_print_fp(FILE *fp, const EC_KEY *key);
 887
 888 /** Prints out the contents of a EC_KEY object
 889  *  \param  fp   file descriptor to which the information is printed
 890  *  \param  key  EC_KEY object
 891  *  \param  off  line offset
 892  *  \return 1 on success and 0 if an error occurred
 893  */
 894 int     EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
 895
 896 #endif
 897
 898 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
 899
 900 #ifndef __cplusplus
 901 #if defined(__SUNPRO_C)
 902 #  if __SUNPRO_C >= 0x520
 903 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
 904 #  endif
 905 # endif
 906 #endif
 907
 908 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
 909         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
 910                                 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
 911
 912
 913 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID             (EVP_PKEY_ALG_CTRL + 1)
 914
 915 /* BEGIN ERROR CODES */
 916 /* The following lines are auto generated by the script mkerr.pl. Any changes
 917  * made after this point may be overwritten when the script is next run.
 918  */
 919 void ERR_load_EC_strings(void);
 920
 921 /* Error codes for the EC functions. */
 922
 923 /* Function codes. */
 924 #define EC_F_COMPUTE_WNAF                                143
 925 #define EC_F_D2I_ECPARAMETERS                            144
 926 #define EC_F_D2I_ECPKPARAMETERS                          145
 927 #define EC_F_D2I_ECPRIVATEKEY                            146
 928 #define EC_F_DO_EC_KEY_PRINT                             221
 929 #define EC_F_ECKEY_PARAM2TYPE                            196
 930 #define EC_F_ECKEY_PARAM_DECODE                          212
 931 #define EC_F_ECKEY_PRIV_DECODE                           213
 932 #define EC_F_ECKEY_PRIV_ENCODE                           214
 933 #define EC_F_ECKEY_PUB_DECODE                            215
 934 #define EC_F_ECKEY_PUB_ENCODE                            216
 935 #define EC_F_ECKEY_TYPE2PARAM                            220
 936 #define EC_F_ECPARAMETERS_PRINT                          147
 937 #define EC_F_ECPARAMETERS_PRINT_FP                       148
 938 #define EC_F_ECPKPARAMETERS_PRINT                        149
 939 #define EC_F_ECPKPARAMETERS_PRINT_FP                     150
 940 #define EC_F_ECP_NIST_MOD_192                            203
 941 #define EC_F_ECP_NIST_MOD_224                            204
 942 #define EC_F_ECP_NIST_MOD_256                            205
 943 #define EC_F_ECP_NIST_MOD_521                            206
 944 #define EC_F_EC_ASN1_GROUP2CURVE                         153
 945 #define EC_F_EC_ASN1_GROUP2FIELDID                       154
 946 #define EC_F_EC_ASN1_GROUP2PARAMETERS                    155
 947 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS                  156
 948 #define EC_F_EC_ASN1_PARAMETERS2GROUP                    157
 949 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP                  158
 950 #define EC_F_EC_EX_DATA_SET_DATA                         211
 951 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY           208
 952 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT     159
 953 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE              195
 954 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT                    160
 955 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT                    161
 956 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
 957 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
 958 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES   164
 959 #define EC_F_EC_GFP_MONT_FIELD_DECODE                    133
 960 #define EC_F_EC_GFP_MONT_FIELD_ENCODE                    134
 961 #define EC_F_EC_GFP_MONT_FIELD_MUL                       131
 962 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE                209
 963 #define EC_F_EC_GFP_MONT_FIELD_SQR                       132
 964 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE                 189
 965 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP             135
 966 #define EC_F_EC_GFP_NIST_FIELD_MUL                       200
 967 #define EC_F_EC_GFP_NIST_FIELD_SQR                       201
 968 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE                 202
 969 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT      165
 970 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE               166
 971 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP           100
 972 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR           101
 973 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE                   102
 974 #define EC_F_EC_GFP_SIMPLE_OCT2POINT                     103
 975 #define EC_F_EC_GFP_SIMPLE_POINT2OCT                     104
 976 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE            137
 977 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES  167
 978 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
 979 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES  168
 980 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
 981 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES    169
 982 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
 983 #define EC_F_EC_GROUP_CHECK                              170
 984 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT                 171
 985 #define EC_F_EC_GROUP_COPY                               106
 986 #define EC_F_EC_GROUP_GET0_GENERATOR                     139
 987 #define EC_F_EC_GROUP_GET_COFACTOR                       140
 988 #define EC_F_EC_GROUP_GET_CURVE_GF2M                     172
 989 #define EC_F_EC_GROUP_GET_CURVE_GFP                      130
 990 #define EC_F_EC_GROUP_GET_DEGREE                         173
 991 #define EC_F_EC_GROUP_GET_ORDER                          141
 992 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS              193
 993 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS                194
 994 #define EC_F_EC_GROUP_NEW                                108
 995 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME                  174
 996 #define EC_F_EC_GROUP_NEW_FROM_DATA                      175
 997 #define EC_F_EC_GROUP_PRECOMPUTE_MULT                    142
 998 #define EC_F_EC_GROUP_SET_CURVE_GF2M                     176
 999 #define EC_F_EC_GROUP_SET_CURVE_GFP                      109
1000 #define EC_F_EC_GROUP_SET_EXTRA_DATA                     110
1001 #define EC_F_EC_GROUP_SET_GENERATOR                      111
1002 #define EC_F_EC_KEY_CHECK_KEY                            177
1003 #define EC_F_EC_KEY_COPY                                 178
1004 #define EC_F_EC_KEY_GENERATE_KEY                         179
1005 #define EC_F_EC_KEY_NEW                                  182
1006 #define EC_F_EC_KEY_PRINT                                180
1007 #define EC_F_EC_KEY_PRINT_FP                             181
1008 #define EC_F_EC_POINTS_MAKE_AFFINE                       136
1009 #define EC_F_EC_POINTS_MUL                               138
1010 #define EC_F_EC_POINT_ADD                                112
1011 #define EC_F_EC_POINT_CMP                                113
1012 #define EC_F_EC_POINT_COPY                               114
1013 #define EC_F_EC_POINT_DBL                                115
1014 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M        183
1015 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP         116
1016 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP    117
1017 #define EC_F_EC_POINT_INVERT                             210
1018 #define EC_F_EC_POINT_IS_AT_INFINITY                     118
1019 #define EC_F_EC_POINT_IS_ON_CURVE                        119
1020 #define EC_F_EC_POINT_MAKE_AFFINE                        120
1021 #define EC_F_EC_POINT_MUL                                184
1022 #define EC_F_EC_POINT_NEW                                121
1023 #define EC_F_EC_POINT_OCT2POINT                          122
1024 #define EC_F_EC_POINT_POINT2OCT                          123
1025 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M        185
1026 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP         124
1027 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M    186
1028 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP     125
1029 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP    126
1030 #define EC_F_EC_POINT_SET_TO_INFINITY                    127
1031 #define EC_F_EC_PRE_COMP_DUP                             207
1032 #define EC_F_EC_WNAF_MUL                                 187
1033 #define EC_F_EC_WNAF_PRECOMPUTE_MULT                     188
1034 #define EC_F_I2D_ECPARAMETERS                            190
1035 #define EC_F_I2D_ECPKPARAMETERS                          191
1036 #define EC_F_I2D_ECPRIVATEKEY                            192
1037 #define EC_F_I2O_ECPUBLICKEY                             151
1038 #define EC_F_O2I_ECPUBLICKEY                             152
1039 #define EC_F_OLD_EC_PRIV_DECODE                          222
1040 #define EC_F_PKEY_EC_CTRL                                197
1041 #define EC_F_PKEY_EC_CTRL_STR                            198
1042 #define EC_F_PKEY_EC_DERIVE                              217
1043 #define EC_F_PKEY_EC_KEYGEN                              199
1044 #define EC_F_PKEY_EC_PARAMGEN                            219
1045 #define EC_F_PKEY_EC_SIGN                                218
1046
1047 /* Reason codes. */
1048 #define EC_R_ASN1_ERROR                                  115
1049 #define EC_R_ASN1_UNKNOWN_FIELD                          116
1050 #define EC_R_BUFFER_TOO_SMALL                            100
1051 #define EC_R_D2I_ECPKPARAMETERS_FAILURE                  117
1052 #define EC_R_DECODE_ERROR                                137
1053 #define EC_R_DISCRIMINANT_IS_ZERO                        118
1054 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE                119
1055 #define EC_R_GROUP2PKPARAMETERS_FAILURE                  120
1056 #define EC_R_I2D_ECPKPARAMETERS_FAILURE                  121
1057 #define EC_R_INCOMPATIBLE_OBJECTS                        101
1058 #define EC_R_INVALID_ARGUMENT                            112
1059 #define EC_R_INVALID_COMPRESSED_POINT                    110
1060 #define EC_R_INVALID_COMPRESSION_BIT                     109
1061 #define EC_R_INVALID_CURVE                               132
1062 #define EC_R_INVALID_DIGEST_TYPE                         138
1063 #define EC_R_INVALID_ENCODING                            102
1064 #define EC_R_INVALID_FIELD                               103
1065 #define EC_R_INVALID_FORM                                104
1066 #define EC_R_INVALID_GROUP_ORDER                         122
1067 #define EC_R_INVALID_PRIVATE_KEY                         123
1068 #define EC_R_KEYS_NOT_SET                                140
1069 #define EC_R_MISSING_PARAMETERS                          124
1070 #define EC_R_MISSING_PRIVATE_KEY                         125
1071 #define EC_R_NOT_A_NIST_PRIME                            135
1072 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME                  136
1073 #define EC_R_NOT_IMPLEMENTED                             126
1074 #define EC_R_NOT_INITIALIZED                             111
1075 #define EC_R_NO_FIELD_MOD                                133
1076 #define EC_R_NO_PARAMETERS_SET                           139
1077 #define EC_R_PASSED_NULL_PARAMETER                       134
1078 #define EC_R_PKPARAMETERS2GROUP_FAILURE                  127
1079 #define EC_R_POINT_AT_INFINITY                           106
1080 #define EC_R_POINT_IS_NOT_ON_CURVE                       107
1081 #define EC_R_SLOT_FULL                                   108
1082 #define EC_R_UNDEFINED_GENERATOR                         113
1083 #define EC_R_UNDEFINED_ORDER                             128
1084 #define EC_R_UNKNOWN_GROUP                               129
1085 #define EC_R_UNKNOWN_ORDER                               114
1086 #define EC_R_UNSUPPORTED_FIELD                           131
1087 #define EC_R_WRONG_ORDER                                 130
1088
1089 #ifdef  __cplusplus
1090 }
1091 #endif
1092 #endif