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
 100 #ifndef OPENSSL_ECC_MAX_FIELD_BITS
 101 # define OPENSSL_ECC_MAX_FIELD_BITS 661
 102 #endif
 103
 104 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
 105  *  for the encoding of a elliptic curve point (x,y) */
 106 typedef enum {
 107         /** the point is encoded as z||x, where the octet z specifies
 108          *  which solution of the quadratic equation y is  */
 109         POINT_CONVERSION_COMPRESSED = 2,
 110         /** the point is encoded as z||x||y, where z is the octet 0x02  */
 111         POINT_CONVERSION_UNCOMPRESSED = 4,
 112         /** the point is encoded as z||x||y, where the octet z specifies
 113          *  which solution of the quadratic equation y is  */
 114         POINT_CONVERSION_HYBRID = 6
 115 } point_conversion_form_t;
 116
 117
 118 typedef struct ec_method_st EC_METHOD;
 119
 120 typedef struct ec_group_st
 121         /*
 122          EC_METHOD *meth;
 123          -- field definition
 124          -- curve coefficients
 125          -- optional generator with associated information (order, cofactor)
 126          -- optional extra data (precomputed table for fast computation of multiples of generator)
 127          -- ASN1 stuff
 128         */
 129         EC_GROUP;
 130
 131 typedef struct ec_point_st EC_POINT;
 132
 133
 134 /********************************************************************/
 135 /*               EC_METHODs for curves over GF(p)                   */
 136 /********************************************************************/
 137
 138 /** Returns the basic GFp ec methods which provides the basis for the
 139  *  optimized methods.
 140  *  \return  EC_METHOD object
 141  */
 142 const EC_METHOD *EC_GFp_simple_method(void);
 143
 144 /** Returns GFp methods using montgomery multiplication.
 145  *  \return  EC_METHOD object
 146  */
 147 const EC_METHOD *EC_GFp_mont_method(void);
 148
 149 /** Returns GFp methods using optimized methods for NIST recommended curves
 150  *  \return  EC_METHOD object
 151  */
 152 const EC_METHOD *EC_GFp_nist_method(void);
 153
 154 #ifdef EC_NISTP224_64_GCC_128
 155 /** Returns 64-bit optimized methods for nistp224
 156  *  \return  EC_METHOD object
 157  */
 158 const EC_METHOD *EC_GFp_nistp224_method(void);
 159 #endif
 160
 161
 162 /********************************************************************/
 163 /*           EC_METHOD for curves over GF(2^m)                      */
 164 /********************************************************************/
 165
 166 /** Returns the basic GF2m ec method
 167  *  \return  EC_METHOD object
 168  */
 169 const EC_METHOD *EC_GF2m_simple_method(void);
 170
 171
 172 /********************************************************************/
 173 /*                   EC_GROUP functions                             */
 174 /********************************************************************/
 175
 176 /** Creates a new EC_GROUP object
 177  *  \param   meth  EC_METHOD to use
 178  *  \return  newly created EC_GROUP object or NULL in case of an error.
 179  */
 180 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
 181
 182 /** Frees a EC_GROUP object
 183  *  \param  group  EC_GROUP object to be freed.
 184  */
 185 void EC_GROUP_free(EC_GROUP *group);
 186
 187 /** Clears and frees a EC_GROUP object
 188  *  \param  group  EC_GROUP object to be cleared and freed.
 189  */
 190 void EC_GROUP_clear_free(EC_GROUP *group);
 191
 192 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
 193  *  \param  dst  destination EC_GROUP object
 194  *  \param  src  source EC_GROUP object
 195  *  \return 1 on success and 0 if an error occurred.
 196  */
 197 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
 198
 199 /** Creates a new EC_GROUP object and copies the copies the content
 200  *  form src to the newly created EC_KEY object
 201  *  \param  src  source EC_GROUP object
 202  *  \return newly created EC_GROUP object or NULL in case of an error.
 203  */
 204 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
 205
 206 /** Returns the EC_METHOD of the EC_GROUP object.
 207  *  \param  group  EC_GROUP object
 208  *  \return EC_METHOD used in this EC_GROUP object.
 209  */
 210 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
 211
 212 /** Returns the field type of the EC_METHOD.
 213  *  \param  meth  EC_METHOD object
 214  *  \return NID of the underlying field type OID.
 215  */
 216 int EC_METHOD_get_field_type(const EC_METHOD *meth);
 217
 218 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
 219  *  \param  group      EC_GROUP object
 220  *  \param  generator  EC_POINT object with the generator.
 221  *  \param  order      the order of the group generated by the generator.
 222  *  \param  cofactor   the index of the sub-group generated by the generator
 223  *                     in the group of all points on the elliptic curve.
 224  *  \return 1 on success and 0 if an error occured
 225  */
 226 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
 227
 228 /** Returns the generator of a EC_GROUP object.
 229  *  \param  group  EC_GROUP object
 230  *  \return the currently used generator (possibly NULL).
 231  */
 232 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
 233
 234 /** Gets the order of a EC_GROUP
 235  *  \param  group  EC_GROUP object
 236  *  \param  order  BIGNUM to which the order is copied
 237  *  \param  ctx    BN_CTX object (optional)
 238  *  \return 1 on success and 0 if an error occured
 239  */
 240 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
 241
 242 /** Gets the cofactor of a EC_GROUP
 243  *  \param  group     EC_GROUP object
 244  *  \param  cofactor  BIGNUM to which the cofactor is copied
 245  *  \param  ctx       BN_CTX object (optional)
 246  *  \return 1 on success and 0 if an error occured
 247  */
 248 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
 249
 250 /** Sets the name of a EC_GROUP object
 251  *  \param  group  EC_GROUP object
 252  *  \param  nid    NID of the curve name OID
 253  */
 254 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
 255
 256 /** Returns the curve name of a EC_GROUP object
 257  *  \param  group  EC_GROUP object
 258  *  \return NID of the curve name OID or 0 if not set.
 259  */
 260 int EC_GROUP_get_curve_name(const EC_GROUP *group);
 261
 262 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
 263 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
 264
 265 void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
 266 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
 267
 268 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *);
 269 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
 270 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
 271
 272 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
 273  *  \param  group  EC_GROUP object
 274  *  \param  p      BIGNUM with the prime number
 275  *  \param  a      BIGNUM with parameter a of the equation
 276  *  \param  b      BIGNUM with parameter b of the equation
 277  *  \param  ctx    BN_CTX object (optional)
 278  *  \return 1 on success and 0 if an error occured
 279  */
 280 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 281
 282 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
 283  *  \param  group  EC_GROUP object
 284  *  \param  p      BIGNUM for the prime number
 285  *  \param  a      BIGNUM for parameter a of the equation
 286  *  \param  b      BIGNUM for parameter b of the equation
 287  *  \param  ctx    BN_CTX object (optional)
 288  *  \return 1 on success and 0 if an error occured
 289  */
 290 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
 291
 292 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
 293  *  \param  group  EC_GROUP object
 294  *  \param  p      BIGNUM with the polynomial defining the underlying field
 295  *  \param  a      BIGNUM with parameter a of the equation
 296  *  \param  b      BIGNUM with parameter b of the equation
 297  *  \param  ctx    BN_CTX object (optional)
 298  *  \return 1 on success and 0 if an error occured
 299  */
 300 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 301
 302 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
 303  *  \param  group  EC_GROUP object
 304  *  \param  p      BIGNUM for the polynomial defining the underlying field
 305  *  \param  a      BIGNUM for parameter a of the equation
 306  *  \param  b      BIGNUM for parameter b of the equation
 307  *  \param  ctx    BN_CTX object (optional)
 308  *  \return 1 on success and 0 if an error occured
 309  */
 310 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
 311
 312 /** Returns the number of bits needed to represent a field element
 313  *  \param  group  EC_GROUP object
 314  *  \return number of bits needed to represent a field element
 315  */
 316 int EC_GROUP_get_degree(const EC_GROUP *group);
 317
 318 /** Checks whether the parameter in the EC_GROUP define a valid ec group
 319  *  \param  group  EC_GROUP object
 320  *  \param  ctx    BN_CTX object (optional)
 321  *  \return 1 if group is a valid ec group and 0 otherwise
 322  */
 323 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
 324
 325 /** Checks whether the discriminant of the elliptic curve is zero or not
 326  *  \param  group  EC_GROUP object
 327  *  \param  ctx    BN_CTX object (optional)
 328  *  \return 1 if the discriminant is not zero and 0 otherwise
 329  */
 330 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
 331
 332 /** Compares two EC_GROUP objects
 333  *  \param  a    first EC_GROUP object
 334  *  \param  b    second EC_GROUP object
 335  *  \param  ctx  BN_CTX object (optional)
 336  *  \return 0 if both groups are equal and 1 otherwise
 337  */
 338 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
 339
 340 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
 341  * after choosing an appropriate EC_METHOD */
 342
 343 /** Creates a new EC_GROUP object with the specified parameters defined
 344  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
 345  *  \param  p    BIGNUM with the prime number
 346  *  \param  a    BIGNUM with the parameter a of the equation
 347  *  \param  b    BIGNUM with the parameter b of the equation
 348  *  \param  ctx  BN_CTX object (optional)
 349  *  \return newly created EC_GROUP object with the specified parameters
 350  */
 351 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 352
 353 /** Creates a new EC_GROUP object with the specified parameters defined
 354  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
 355  *  \param  p    BIGNUM with the polynomial defining the underlying field
 356  *  \param  a    BIGNUM with the parameter a of the equation
 357  *  \param  b    BIGNUM with the parameter b of the equation
 358  *  \param  ctx  BN_CTX object (optional)
 359  *  \return newly created EC_GROUP object with the specified parameters
 360  */
 361 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 362
 363 /** Creates a EC_GROUP object with a curve specified by a NID
 364  *  \param  nid  NID of the OID of the curve name
 365  *  \return newly created EC_GROUP object with specified curve or NULL
 366  *          if an error occurred
 367  */
 368 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
 369
 370
 371 /********************************************************************/
 372 /*               handling of internal curves                        */
 373 /********************************************************************/
 374
 375 typedef struct {
 376         int nid;
 377         const char *comment;
 378         } EC_builtin_curve;
 379
 380 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
 381  * of all available curves or zero if a error occurred.
 382  * In case r ist not zero nitems EC_builtin_curve structures
 383  * are filled with the data of the first nitems internal groups */
 384 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
 385
 386
 387 /********************************************************************/
 388 /*                    EC_POINT functions                            */
 389 /********************************************************************/
 390
 391 /** Creates a new EC_POINT object for the specified EC_GROUP
 392  *  \param  group  EC_GROUP the underlying EC_GROUP object
 393  *  \return newly created EC_POINT object or NULL if an error occurred
 394  */
 395 EC_POINT *EC_POINT_new(const EC_GROUP *group);
 396
 397 /** Frees a EC_POINT object
 398  *  \param  point  EC_POINT object to be freed
 399  */
 400 void EC_POINT_free(EC_POINT *point);
 401
 402 /** Clears and frees a EC_POINT object
 403  *  \param  point  EC_POINT object to be cleared and freed
 404  */
 405 void EC_POINT_clear_free(EC_POINT *point);
 406
 407 /** Copies EC_POINT object
 408  *  \param  dst  destination EC_POINT object
 409  *  \param  src  source EC_POINT object
 410  *  \return 1 on success and 0 if an error occured
 411  */
 412 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
 413
 414 /** Creates a new EC_POINT object and copies the content of the supplied
 415  *  EC_POINT
 416  *  \param  src    source EC_POINT object
 417  *  \param  group  underlying the EC_GROUP object
 418  *  \return newly created EC_POINT object or NULL if an error occurred
 419  */
 420 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
 421
 422 /** Returns the EC_METHOD used in EC_POINT object
 423  *  \param  point  EC_POINT object
 424  *  \return the EC_METHOD used
 425  */
 426 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
 427
 428 /** Sets a point to infinity (neutral element)
 429  *  \param  group  underlying EC_GROUP object
 430  *  \param  point  EC_POINT to set to infinity
 431  *  \return 1 on success and 0 if an error occured
 432  */
 433 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
 434
 435 /** Sets 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 with the x-coordinate
 439  *  \param  y      BIGNUM with the y-coordinate
 440  *  \param  z      BIGNUM with 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_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 445         const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
 446
 447 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
 448  *  \param  group  underlying EC_GROUP object
 449  *  \param  p      EC_POINT object
 450  *  \param  x      BIGNUM for the x-coordinate
 451  *  \param  y      BIGNUM for the y-coordinate
 452  *  \param  z      BIGNUM for the z-coordinate
 453  *  \param  ctx    BN_CTX object (optional)
 454  *  \return 1 on success and 0 if an error occured
 455  */
 456 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
 457         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
 458
 459 /** Sets the affine coordinates of a EC_POINT over GFp
 460  *  \param  group  underlying EC_GROUP object
 461  *  \param  p      EC_POINT object
 462  *  \param  x      BIGNUM with the x-coordinate
 463  *  \param  y      BIGNUM with the y-coordinate
 464  *  \param  ctx    BN_CTX object (optional)
 465  *  \return 1 on success and 0 if an error occured
 466  */
 467 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 468         const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
 469
 470 /** Gets the affine coordinates of a EC_POINT over GFp
 471  *  \param  group  underlying EC_GROUP object
 472  *  \param  p      EC_POINT object
 473  *  \param  x      BIGNUM for the x-coordinate
 474  *  \param  y      BIGNUM for the y-coordinate
 475  *  \param  ctx    BN_CTX object (optional)
 476  *  \return 1 on success and 0 if an error occured
 477  */
 478 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
 479         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
 480
 481 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
 482  *  \param  group  underlying EC_GROUP object
 483  *  \param  p      EC_POINT object
 484  *  \param  x      BIGNUM with x-coordinate
 485  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
 486  *  \param  ctx    BN_CTX object (optional)
 487  *  \return 1 on success and 0 if an error occured
 488  */
 489 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 490         const BIGNUM *x, int y_bit, BN_CTX *ctx);
 491
 492 /** Sets the affine coordinates of a EC_POINT over GF2m
 493  *  \param  group  underlying EC_GROUP object
 494  *  \param  p      EC_POINT object
 495  *  \param  x      BIGNUM with the x-coordinate
 496  *  \param  y      BIGNUM with the y-coordinate
 497  *  \param  ctx    BN_CTX object (optional)
 498  *  \return 1 on success and 0 if an error occured
 499  */
 500 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
 501         const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
 502
 503 /** Gets the affine coordinates of a EC_POINT over GF2m
 504  *  \param  group  underlying EC_GROUP object
 505  *  \param  p      EC_POINT object
 506  *  \param  x      BIGNUM for the x-coordinate
 507  *  \param  y      BIGNUM for the y-coordinate
 508  *  \param  ctx    BN_CTX object (optional)
 509  *  \return 1 on success and 0 if an error occured
 510  */
 511 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
 512         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
 513
 514 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
 515  *  \param  group  underlying EC_GROUP object
 516  *  \param  p      EC_POINT object
 517  *  \param  x      BIGNUM with x-coordinate
 518  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
 519  *  \param  ctx    BN_CTX object (optional)
 520  *  \return 1 on success and 0 if an error occured
 521  */
 522 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
 523         const BIGNUM *x, int y_bit, BN_CTX *ctx);
 524
 525 /** Encodes a EC_POINT object to a octet string
 526  *  \param  group  underlying EC_GROUP object
 527  *  \param  p      EC_POINT object
 528  *  \param  form   point conversion form
 529  *  \param  buf    memory buffer for the result. If NULL the function returns
 530  *                 required buffer size.
 531  *  \param  len    length of the memory buffer
 532  *  \param  ctx    BN_CTX object (optional)
 533  *  \return the length of the encoded octet string or 0 if an error occurred
 534  */
 535 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
 536         point_conversion_form_t form,
 537         unsigned char *buf, size_t len, BN_CTX *ctx);
 538
 539 /** Decodes a EC_POINT from a octet string
 540  *  \param  group  underlying EC_GROUP object
 541  *  \param  p      EC_POINT object
 542  *  \param  buf    memory buffer with the encoded ec point
 543  *  \param  len    length of the encoded ec point
 544  *  \param  ctx    BN_CTX object (optional)
 545  *  \return 1 on success and 0 if an error occured
 546  */
 547 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
 548         const unsigned char *buf, size_t len, BN_CTX *ctx);
 549
 550 /* other interfaces to point2oct/oct2point: */
 551 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
 552         point_conversion_form_t form, BIGNUM *, BN_CTX *);
 553 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
 554         EC_POINT *, BN_CTX *);
 555 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
 556         point_conversion_form_t form, BN_CTX *);
 557 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
 558         EC_POINT *, BN_CTX *);
 559
 560
 561 /********************************************************************/
 562 /*         functions for doing EC_POINT arithmetic                  */
 563 /********************************************************************/
 564
 565 /** Computes the sum of two EC_POINT
 566  *  \param  group  underlying EC_GROUP object
 567  *  \param  r      EC_POINT object for the result (r = a + b)
 568  *  \param  a      EC_POINT object with the first summand
 569  *  \param  b      EC_POINT object with the second summand
 570  *  \param  ctx    BN_CTX object (optional)
 571  *  \return 1 on success and 0 if an error occured
 572  */
 573 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
 574
 575 /** Computes the double of a EC_POINT
 576  *  \param  group  underlying EC_GROUP object
 577  *  \param  r      EC_POINT object for the result (r = 2 * a)
 578  *  \param  a      EC_POINT object
 579  *  \param  ctx    BN_CTX object (optional)
 580  *  \return 1 on success and 0 if an error occured
 581  */
 582 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
 583
 584 /** Computes the inverse of a EC_POINT
 585  *  \param  group  underlying EC_GROUP object
 586  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
 587  *  \param  ctx    BN_CTX object (optional)
 588  *  \return 1 on success and 0 if an error occured
 589  */
 590 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
 591
 592 /** Checks whether the point is the neutral element of the group
 593  *  \param  group  the underlying EC_GROUP object
 594  *  \param  p      EC_POINT object
 595  *  \return 1 if the point is the neutral element and 0 otherwise
 596  */
 597 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
 598
 599 /** Checks whether the point is on the curve
 600  *  \param  group  underlying EC_GROUP object
 601  *  \param  point  EC_POINT object to check
 602  *  \param  ctx    BN_CTX object (optional)
 603  *  \return 1 if point if on the curve and 0 otherwise
 604  */
 605 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
 606
 607 /** Compares two EC_POINTs
 608  *  \param  group  underlying EC_GROUP object
 609  *  \param  a      first EC_POINT object
 610  *  \param  b      second EC_POINT object
 611  *  \param  ctx    BN_CTX object (optional)
 612  *  \return 0 if both points are equal and a value != 0 otherwise
 613  */
 614 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
 615
 616 int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
 617 int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
 618
 619 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
 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  num    number futher summands
 624  *  \param  p      array of size num of EC_POINT objects
 625  *  \param  m      array of size num of BIGNUM objects
 626  *  \param  ctx    BN_CTX object (optional)
 627  *  \return 1 on success and 0 if an error occured
 628  */
 629 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);
 630
 631 /** Computes r = generator * n + q * m
 632  *  \param  group  underlying EC_GROUP object
 633  *  \param  r      EC_POINT object for the result
 634  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
 635  *  \param  q      EC_POINT object with the first factor of the second summand
 636  *  \param  m      BIGNUM with the second factor of the second summand
 637  *  \param  ctx    BN_CTX object (optional)
 638  *  \return 1 on success and 0 if an error occured
 639  */
 640 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
 641
 642 /** Stores multiples of generator for faster point multiplication
 643  *  \param  group  EC_GROUP object
 644  *  \param  ctx    BN_CTX object (optional)
 645  *  \return 1 on success and 0 if an error occured
 646  */
 647 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 648
 649 /** Reports whether a precomputation has been done
 650  *  \param  group  EC_GROUP object
 651  *  \return 1 if a pre-computation has been done and 0 otherwise
 652  */
 653 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
 654
 655
 656 /********************************************************************/
 657 /*                       ASN1 stuff                                 */
 658 /********************************************************************/
 659
 660 /* EC_GROUP_get_basis_type() returns the NID of the basis type
 661  * used to represent the field elements */
 662 int EC_GROUP_get_basis_type(const EC_GROUP *);
 663 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
 664 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
 665         unsigned int *k2, unsigned int *k3);
 666
 667 #define OPENSSL_EC_NAMED_CURVE  0x001
 668
 669 typedef struct ecpk_parameters_st ECPKPARAMETERS;
 670
 671 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
 672 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
 673
 674 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
 675 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
 676 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
 677                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
 678 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
 679                 (unsigned char *)(x))
 680
 681 #ifndef OPENSSL_NO_BIO
 682 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
 683 #endif
 684 #ifndef OPENSSL_NO_FP_API
 685 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
 686 #endif
 687
 688
 689 /********************************************************************/
 690 /*                      EC_KEY functions                            */
 691 /********************************************************************/
 692
 693 typedef struct ec_key_st EC_KEY;
 694
 695 /* some values for the encoding_flag */
 696 #define EC_PKEY_NO_PARAMETERS   0x001
 697 #define EC_PKEY_NO_PUBKEY       0x002
 698
 699 /** Creates a new EC_KEY object.
 700  *  \return EC_KEY object or NULL if an error occurred.
 701  */
 702 EC_KEY *EC_KEY_new(void);
 703
 704 /** Creates a new EC_KEY object using a named curve as underlying
 705  *  EC_GROUP object.
 706  *  \param  nid  NID of the named curve.
 707  *  \return EC_KEY object or NULL if an error occurred.
 708  */
 709 EC_KEY *EC_KEY_new_by_curve_name(int nid);
 710
 711 /** Frees a EC_KEY object.
 712  *  \param  key  EC_KEY object to be freed.
 713  */
 714 void EC_KEY_free(EC_KEY *key);
 715
 716 /** Copies a EC_KEY object.
 717  *  \param  dst  destination EC_KEY object
 718  *  \param  src  src EC_KEY object
 719  *  \return dst or NULL if an error occurred.
 720  */
 721 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
 722
 723 /** Creates a new EC_KEY object and copies the content from src to it.
 724  *  \param  src  the source EC_KEY object
 725  *  \return newly created EC_KEY object or NULL if an error occurred.
 726  */
 727 EC_KEY *EC_KEY_dup(const EC_KEY *src);
 728
 729 /** Increases the internal reference count of a EC_KEY object.
 730  *  \param  key  EC_KEY object
 731  *  \return 1 on success and 0 if an error occurred.
 732  */
 733 int EC_KEY_up_ref(EC_KEY *key);
 734
 735 /** Returns the EC_GROUP object of a EC_KEY object
 736  *  \param  key  EC_KEY object
 737  *  \return the EC_GROUP object (possibly NULL).
 738  */
 739 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
 740
 741 /** Sets the EC_GROUP of a EC_KEY object.
 742  *  \param  key    EC_KEY object
 743  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
 744  *                 object will use an own copy of the EC_GROUP).
 745  *  \return 1 on success and 0 if an error occurred.
 746  */
 747 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
 748
 749 /** Returns the private key of a EC_KEY object.
 750  *  \param  key  EC_KEY object
 751  *  \return a BIGNUM with the private key (possibly NULL).
 752  */
 753 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
 754
 755 /** Sets the private key of a EC_KEY object.
 756  *  \param  key  EC_KEY object
 757  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
 758  *               will use an own copy of the BIGNUM).
 759  *  \return 1 on success and 0 if an error occurred.
 760  */
 761 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
 762
 763 /** Returns the public key of a EC_KEY object.
 764  *  \param  key  the EC_KEY object
 765  *  \return a EC_POINT object with the public key (possibly NULL)
 766  */
 767 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
 768
 769 /** Sets the public key of a EC_KEY object.
 770  *  \param  key  EC_KEY object
 771  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
 772  *               will use an own copy of the EC_POINT object).
 773  *  \return 1 on success and 0 if an error occurred.
 774  */
 775 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
 776
 777 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
 778 void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
 779 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
 780 void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
 781 /* functions to set/get method specific data  */
 782 void *EC_KEY_get_key_method_data(EC_KEY *,
 783         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
 784 void EC_KEY_insert_key_method_data(EC_KEY *, void *data,
 785         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
 786 /* wrapper functions for the underlying EC_GROUP object */
 787 void EC_KEY_set_asn1_flag(EC_KEY *, int);
 788
 789 /** Creates a table of pre-computed multiples of the generator to
 790  *  accelerate further EC_KEY operations.
 791  *  \param  key  EC_KEY object
 792  *  \param  ctx  BN_CTX object (optional)
 793  *  \return 1 on success and 0 if an error occurred.
 794  */
 795 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
 796
 797 /** Creates a new ec private (and optional a new public) key.
 798  *  \param  key  EC_KEY object
 799  *  \return 1 on success and 0 if an error occurred.
 800  */
 801 int EC_KEY_generate_key(EC_KEY *key);
 802
 803 /** Verifies that a private and/or public key is valid.
 804  *  \param  key  the EC_KEY object
 805  *  \return 1 on success and 0 otherwise.
 806  */
 807 int EC_KEY_check_key(const EC_KEY *key);
 808
 809 /** Sets a public key from affine coordindates performing
 810  *  neccessary NIST PKV tests.
 811  *  \param  key  the EC_KEY object
 812  *  \param  x    public key x coordinate
 813  *  \param  y    public key y coordinate
 814  *  \return 1 on success and 0 otherwise.
 815  */
 816 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
 817
 818
 819 /********************************************************************/
 820 /*        de- and encoding functions for SEC1 ECPrivateKey          */
 821 /********************************************************************/
 822
 823 /** Decodes a private key 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 private key
 826  *  \param  len  length of the DER encoded private key
 827  *  \return the decoded private key or NULL if an error occurred.
 828  */
 829 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
 830
 831 /** Encodes a private key object and stores the result in a buffer.
 832  *  \param  key  the EC_KEY object to encode
 833  *  \param  out  the buffer for the result (if NULL the function returns number
 834  *               of bytes needed).
 835  *  \return 1 on success and 0 if an error occurred.
 836  */
 837 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
 838
 839
 840 /********************************************************************/
 841 /*        de- and encoding functions for EC parameters              */
 842 /********************************************************************/
 843
 844 /** Decodes ec parameter from a memory buffer.
 845  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
 846  *  \param  in   pointer to memory with the DER encoded ec parameters
 847  *  \param  len  length of the DER encoded ec parameters
 848  *  \return a EC_KEY object with the decoded parameters or NULL if an error
 849  *          occurred.
 850  */
 851 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
 852
 853 /** Encodes ec parameter and stores the result in a buffer.
 854  *  \param  key  the EC_KEY object with ec paramters to encode
 855  *  \param  out  the buffer for the result (if NULL the function returns number
 856  *               of bytes needed).
 857  *  \return 1 on success and 0 if an error occurred.
 858  */
 859 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
 860
 861
 862 /********************************************************************/
 863 /*         de- and encoding functions for EC public key             */
 864 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
 865 /********************************************************************/
 866
 867 /** Decodes a ec public key from a octet string.
 868  *  \param  key  a pointer to a EC_KEY object which should be used
 869  *  \param  in   memory buffer with the encoded public key
 870  *  \param  len  length of the encoded public key
 871  *  \return EC_KEY object with decoded public key or NULL if an error
 872  *          occurred.
 873  */
 874 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
 875
 876 /** Encodes a ec public key in an octet string.
 877  *  \param  key  the EC_KEY object with the public key
 878  *  \param  out  the buffer for the result (if NULL the function returns number
 879  *               of bytes needed).
 880  *  \return 1 on success and 0 if an error occurred
 881  */
 882 int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
 883
 884 #ifndef OPENSSL_NO_BIO
 885 /** Prints out the ec parameters on human readable form.
 886  *  \param  bp   BIO object to which the information is printed
 887  *  \param  key  EC_KEY object
 888  *  \return 1 on success and 0 if an error occurred
 889  */
 890 int     ECParameters_print(BIO *bp, const EC_KEY *key);
 891
 892 /** Prints out the contents of a EC_KEY object
 893  *  \param  bp   BIO object to which the information is printed
 894  *  \param  key  EC_KEY object
 895  *  \param  off  line offset
 896  *  \return 1 on success and 0 if an error occurred
 897  */
 898 int     EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
 899
 900 #endif
 901 #ifndef OPENSSL_NO_FP_API
 902 /** Prints out the ec parameters on human readable form.
 903  *  \param  fp   file descriptor to which the information is printed
 904  *  \param  key  EC_KEY object
 905  *  \return 1 on success and 0 if an error occurred
 906  */
 907 int     ECParameters_print_fp(FILE *fp, const EC_KEY *key);
 908
 909 /** Prints out the contents of a EC_KEY object
 910  *  \param  fp   file descriptor to which the information is printed
 911  *  \param  key  EC_KEY object
 912  *  \param  off  line offset
 913  *  \return 1 on success and 0 if an error occurred
 914  */
 915 int     EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
 916
 917 #endif
 918
 919 #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
 920
 921 #ifndef __cplusplus
 922 #if defined(__SUNPRO_C)
 923 #  if __SUNPRO_C >= 0x520
 924 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
 925 #  endif
 926 # endif
 927 #endif
 928
 929 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
 930         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
 931                                 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
 932
 933
 934 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID             (EVP_PKEY_ALG_CTRL + 1)
 935
 936 /* BEGIN ERROR CODES */
 937 /* The following lines are auto generated by the script mkerr.pl. Any changes
 938  * made after this point may be overwritten when the script is next run.
 939  */
 940 void ERR_load_EC_strings(void);
 941
 942 /* Error codes for the EC functions. */
 943
 944 /* Function codes. */
 945 #define EC_F_BN_TO_FELEM                                 224
 946 #define EC_F_COMPUTE_WNAF                                143
 947 #define EC_F_D2I_ECPARAMETERS                            144
 948 #define EC_F_D2I_ECPKPARAMETERS                          145
 949 #define EC_F_D2I_ECPRIVATEKEY                            146
 950 #define EC_F_DO_EC_KEY_PRINT                             221
 951 #define EC_F_ECKEY_PARAM2TYPE                            223
 952 #define EC_F_ECKEY_PARAM_DECODE                          212
 953 #define EC_F_ECKEY_PRIV_DECODE                           213
 954 #define EC_F_ECKEY_PRIV_ENCODE                           214
 955 #define EC_F_ECKEY_PUB_DECODE                            215
 956 #define EC_F_ECKEY_PUB_ENCODE                            216
 957 #define EC_F_ECKEY_TYPE2PARAM                            220
 958 #define EC_F_ECPARAMETERS_PRINT                          147
 959 #define EC_F_ECPARAMETERS_PRINT_FP                       148
 960 #define EC_F_ECPKPARAMETERS_PRINT                        149
 961 #define EC_F_ECPKPARAMETERS_PRINT_FP                     150
 962 #define EC_F_ECP_NIST_MOD_192                            203
 963 #define EC_F_ECP_NIST_MOD_224                            204
 964 #define EC_F_ECP_NIST_MOD_256                            205
 965 #define EC_F_ECP_NIST_MOD_521                            206
 966 #define EC_F_EC_ASN1_GROUP2CURVE                         153
 967 #define EC_F_EC_ASN1_GROUP2FIELDID                       154
 968 #define EC_F_EC_ASN1_GROUP2PARAMETERS                    155
 969 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS                  156
 970 #define EC_F_EC_ASN1_PARAMETERS2GROUP                    157
 971 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP                  158
 972 #define EC_F_EC_EX_DATA_SET_DATA                         211
 973 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY           208
 974 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT     159
 975 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE              195
 976 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT                    160
 977 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT                    161
 978 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
 979 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
 980 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES   164
 981 #define EC_F_EC_GFP_MONT_FIELD_DECODE                    133
 982 #define EC_F_EC_GFP_MONT_FIELD_ENCODE                    134
 983 #define EC_F_EC_GFP_MONT_FIELD_MUL                       131
 984 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE                209
 985 #define EC_F_EC_GFP_MONT_FIELD_SQR                       132
 986 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE                 189
 987 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP             135
 988 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE             225
 989 #define EC_F_EC_GFP_NISTP224_POINTS_MUL                  228
 990 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
 991 #define EC_F_EC_GFP_NIST_FIELD_MUL                       200
 992 #define EC_F_EC_GFP_NIST_FIELD_SQR                       201
 993 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE                 202
 994 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT      165
 995 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE               166
 996 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP           100
 997 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR           101
 998 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE                   102
 999 #define EC_F_EC_GFP_SIMPLE_OCT2POINT                     103
1000 #define EC_F_EC_GFP_SIMPLE_POINT2OCT                     104
1001 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE            137
1002 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES  167
1003 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1004 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES  168
1005 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1006 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES    169
1007 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1008 #define EC_F_EC_GROUP_CHECK                              170
1009 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT                 171
1010 #define EC_F_EC_GROUP_COPY                               106
1011 #define EC_F_EC_GROUP_GET0_GENERATOR                     139
1012 #define EC_F_EC_GROUP_GET_COFACTOR                       140
1013 #define EC_F_EC_GROUP_GET_CURVE_GF2M                     172
1014 #define EC_F_EC_GROUP_GET_CURVE_GFP                      130
1015 #define EC_F_EC_GROUP_GET_DEGREE                         173
1016 #define EC_F_EC_GROUP_GET_ORDER                          141
1017 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS              193
1018 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS                194
1019 #define EC_F_EC_GROUP_NEW                                108
1020 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME                  174
1021 #define EC_F_EC_GROUP_NEW_FROM_DATA                      175
1022 #define EC_F_EC_GROUP_PRECOMPUTE_MULT                    142
1023 #define EC_F_EC_GROUP_SET_CURVE_GF2M                     176
1024 #define EC_F_EC_GROUP_SET_CURVE_GFP                      109
1025 #define EC_F_EC_GROUP_SET_EXTRA_DATA                     110
1026 #define EC_F_EC_GROUP_SET_GENERATOR                      111
1027 #define EC_F_EC_KEY_CHECK_KEY                            177
1028 #define EC_F_EC_KEY_COPY                                 178
1029 #define EC_F_EC_KEY_GENERATE_KEY                         179
1030 #define EC_F_EC_KEY_NEW                                  182
1031 #define EC_F_EC_KEY_PRINT                                180
1032 #define EC_F_EC_KEY_PRINT_FP                             181
1033 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES    229
1034 #define EC_F_EC_POINTS_MAKE_AFFINE                       136
1035 #define EC_F_EC_POINT_ADD                                112
1036 #define EC_F_EC_POINT_CMP                                113
1037 #define EC_F_EC_POINT_COPY                               114
1038 #define EC_F_EC_POINT_DBL                                115
1039 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M        183
1040 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP         116
1041 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP    117
1042 #define EC_F_EC_POINT_INVERT                             210
1043 #define EC_F_EC_POINT_IS_AT_INFINITY                     118
1044 #define EC_F_EC_POINT_IS_ON_CURVE                        119
1045 #define EC_F_EC_POINT_MAKE_AFFINE                        120
1046 #define EC_F_EC_POINT_MUL                                184
1047 #define EC_F_EC_POINT_NEW                                121
1048 #define EC_F_EC_POINT_OCT2POINT                          122
1049 #define EC_F_EC_POINT_POINT2OCT                          123
1050 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M        185
1051 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP         124
1052 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M    186
1053 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP     125
1054 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP    126
1055 #define EC_F_EC_POINT_SET_TO_INFINITY                    127
1056 #define EC_F_EC_PRE_COMP_DUP                             207
1057 #define EC_F_EC_PRE_COMP_NEW                             196
1058 #define EC_F_EC_WNAF_MUL                                 187
1059 #define EC_F_EC_WNAF_PRECOMPUTE_MULT                     188
1060 #define EC_F_I2D_ECPARAMETERS                            190
1061 #define EC_F_I2D_ECPKPARAMETERS                          191
1062 #define EC_F_I2D_ECPRIVATEKEY                            192
1063 #define EC_F_I2O_ECPUBLICKEY                             151
1064 #define EC_F_NISTP224_PRE_COMP_NEW                       227
1065 #define EC_F_O2I_ECPUBLICKEY                             152
1066 #define EC_F_OLD_EC_PRIV_DECODE                          222
1067 #define EC_F_PKEY_EC_CTRL                                197
1068 #define EC_F_PKEY_EC_CTRL_STR                            198
1069 #define EC_F_PKEY_EC_DERIVE                              217
1070 #define EC_F_PKEY_EC_KEYGEN                              199
1071 #define EC_F_PKEY_EC_PARAMGEN                            219
1072 #define EC_F_PKEY_EC_SIGN                                218
1073
1074 /* Reason codes. */
1075 #define EC_R_ASN1_ERROR                                  115
1076 #define EC_R_ASN1_UNKNOWN_FIELD                          116
1077 #define EC_R_BIGNUM_OUT_OF_RANGE                         144
1078 #define EC_R_BUFFER_TOO_SMALL                            100
1079 #define EC_R_COORDINATES_OUT_OF_RANGE                    146
1080 #define EC_R_D2I_ECPKPARAMETERS_FAILURE                  117
1081 #define EC_R_DECODE_ERROR                                142
1082 #define EC_R_DISCRIMINANT_IS_ZERO                        118
1083 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE                119
1084 #define EC_R_FIELD_TOO_LARGE                             143
1085 #define EC_R_GROUP2PKPARAMETERS_FAILURE                  120
1086 #define EC_R_I2D_ECPKPARAMETERS_FAILURE                  121
1087 #define EC_R_INCOMPATIBLE_OBJECTS                        101
1088 #define EC_R_INVALID_ARGUMENT                            112
1089 #define EC_R_INVALID_COMPRESSED_POINT                    110
1090 #define EC_R_INVALID_COMPRESSION_BIT                     109
1091 #define EC_R_INVALID_CURVE                               141
1092 #define EC_R_INVALID_DIGEST_TYPE                         138
1093 #define EC_R_INVALID_ENCODING                            102
1094 #define EC_R_INVALID_FIELD                               103
1095 #define EC_R_INVALID_FORM                                104
1096 #define EC_R_INVALID_GROUP_ORDER                         122
1097 #define EC_R_INVALID_PENTANOMIAL_BASIS                   132
1098 #define EC_R_INVALID_PRIVATE_KEY                         123
1099 #define EC_R_INVALID_TRINOMIAL_BASIS                     137
1100 #define EC_R_KEYS_NOT_SET                                140
1101 #define EC_R_MISSING_PARAMETERS                          124
1102 #define EC_R_MISSING_PRIVATE_KEY                         125
1103 #define EC_R_NOT_A_NIST_PRIME                            135
1104 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME                  136
1105 #define EC_R_NOT_IMPLEMENTED                             126
1106 #define EC_R_NOT_INITIALIZED                             111
1107 #define EC_R_NO_FIELD_MOD                                133
1108 #define EC_R_NO_PARAMETERS_SET                           139
1109 #define EC_R_PASSED_NULL_PARAMETER                       134
1110 #define EC_R_PKPARAMETERS2GROUP_FAILURE                  127
1111 #define EC_R_POINT_AT_INFINITY                           106
1112 #define EC_R_POINT_IS_NOT_ON_CURVE                       107
1113 #define EC_R_SLOT_FULL                                   108
1114 #define EC_R_UNDEFINED_GENERATOR                         113
1115 #define EC_R_UNDEFINED_ORDER                             128
1116 #define EC_R_UNKNOWN_GROUP                               129
1117 #define EC_R_UNKNOWN_ORDER                               114
1118 #define EC_R_UNSUPPORTED_FIELD                           131
1119 #define EC_R_WRONG_CURVE_PARAMETERS                      145
1120 #define EC_R_WRONG_ORDER                                 130
1121
1122 #ifdef  __cplusplus
1123 }
1124 #endif
1125 #endif