lib/libcrypto/ec/ec.h

   1 /* $OpenBSD: ec.h,v 1.13 2018/05/19 10:37:02 tb Exp $ */
   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 #ifndef OPENSSL_NO_DEPRECATED
  87 #include <openssl/bn.h>
  88 #endif
  89
  90 #ifdef  __cplusplus
  91 extern "C" {
  92 #elif defined(__SUNPRO_C)
  93 # if __SUNPRO_C >= 0x520
  94 # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
  95 # endif
  96 #endif
  97
  98
  99 #ifndef OPENSSL_ECC_MAX_FIELD_BITS
 100 # define OPENSSL_ECC_MAX_FIELD_BITS 661
 101 #endif
 102
 103 /** Enum for the point conversion form as defined in X9.62 (ECDSA)
 104  *  for the encoding of a elliptic curve point (x,y) */
 105 typedef enum {
 106         /** the point is encoded as z||x, where the octet z specifies
 107          *  which solution of the quadratic equation y is  */
 108         POINT_CONVERSION_COMPRESSED = 2,
 109         /** the point is encoded as z||x||y, where z is the octet 0x02  */
 110         POINT_CONVERSION_UNCOMPRESSED = 4,
 111         /** the point is encoded as z||x||y, where the octet z specifies
 112          *  which solution of the quadratic equation y is  */
 113         POINT_CONVERSION_HYBRID = 6
 114 } point_conversion_form_t;
 115
 116
 117 typedef struct ec_method_st EC_METHOD;
 118
 119 typedef struct ec_group_st
 120         /*
 121          EC_METHOD *meth;
 122          -- field definition
 123          -- curve coefficients
 124          -- optional generator with associated information (order, cofactor)
 125          -- optional extra data (precomputed table for fast computation of multiples of generator)
 126          -- ASN1 stuff
 127         */
 128         EC_GROUP;
 129
 130 typedef struct ec_point_st EC_POINT;
 131
 132
 133 /********************************************************************/
 134 /*               EC_METHODs for curves over GF(p)                   */
 135 /********************************************************************/
 136
 137 /** Returns the basic GFp ec methods which provides the basis for the
 138  *  optimized methods.
 139  *  \return  EC_METHOD object
 140  */
 141 const EC_METHOD *EC_GFp_simple_method(void);
 142
 143 /** Returns GFp methods using montgomery multiplication.
 144  *  \return  EC_METHOD object
 145  */
 146 const EC_METHOD *EC_GFp_mont_method(void);
 147
 148 /** Returns GFp methods using optimized methods for NIST recommended curves
 149  *  \return  EC_METHOD object
 150  */
 151 const EC_METHOD *EC_GFp_nist_method(void);
 152
 153 #ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
 154 /** Returns 64-bit optimized methods for nistp224
 155  *  \return  EC_METHOD object
 156  */
 157 const EC_METHOD *EC_GFp_nistp224_method(void);
 158
 159 /** Returns 64-bit optimized methods for nistp256
 160  *  \return  EC_METHOD object
 161  */
 162 const EC_METHOD *EC_GFp_nistp256_method(void);
 163
 164 /** Returns 64-bit optimized methods for nistp521
 165  *  \return  EC_METHOD object
 166  */
 167 const EC_METHOD *EC_GFp_nistp521_method(void);
 168 #endif
 169
 170 #ifndef OPENSSL_NO_EC2M
 171 /********************************************************************/
 172 /*           EC_METHOD for curves over GF(2^m)                      */
 173 /********************************************************************/
 174
 175 /** Returns the basic GF2m ec method
 176  *  \return  EC_METHOD object
 177  */
 178 const EC_METHOD *EC_GF2m_simple_method(void);
 179
 180 #endif
 181
 182
 183 /********************************************************************/
 184 /*                   EC_GROUP functions                             */
 185 /********************************************************************/
 186
 187 /** Creates a new EC_GROUP object
 188  *  \param   meth  EC_METHOD to use
 189  *  \return  newly created EC_GROUP object or NULL in case of an error.
 190  */
 191 EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
 192
 193 /** Frees a EC_GROUP object
 194  *  \param  group  EC_GROUP object to be freed.
 195  */
 196 void EC_GROUP_free(EC_GROUP *group);
 197
 198 /** Clears and frees a EC_GROUP object
 199  *  \param  group  EC_GROUP object to be cleared and freed.
 200  */
 201 void EC_GROUP_clear_free(EC_GROUP *group);
 202
 203 /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
 204  *  \param  dst  destination EC_GROUP object
 205  *  \param  src  source EC_GROUP object
 206  *  \return 1 on success and 0 if an error occurred.
 207  */
 208 int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
 209
 210 /** Creates a new EC_GROUP object and copies the copies the content
 211  *  form src to the newly created EC_KEY object
 212  *  \param  src  source EC_GROUP object
 213  *  \return newly created EC_GROUP object or NULL in case of an error.
 214  */
 215 EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
 216
 217 /** Returns the EC_METHOD of the EC_GROUP object.
 218  *  \param  group  EC_GROUP object
 219  *  \return EC_METHOD used in this EC_GROUP object.
 220  */
 221 const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
 222
 223 /** Returns the field type of the EC_METHOD.
 224  *  \param  meth  EC_METHOD object
 225  *  \return NID of the underlying field type OID.
 226  */
 227 int EC_METHOD_get_field_type(const EC_METHOD *meth);
 228
 229 /** Sets the generator and it's order/cofactor of a EC_GROUP object.
 230  *  \param  group      EC_GROUP object
 231  *  \param  generator  EC_POINT object with the generator.
 232  *  \param  order      the order of the group generated by the generator.
 233  *  \param  cofactor   the index of the sub-group generated by the generator
 234  *                     in the group of all points on the elliptic curve.
 235  *  \return 1 on success and 0 if an error occured
 236  */
 237 int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
 238
 239 /** Returns the generator of a EC_GROUP object.
 240  *  \param  group  EC_GROUP object
 241  *  \return the currently used generator (possibly NULL).
 242  */
 243 const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
 244
 245 /** Gets the order of a EC_GROUP
 246  *  \param  group  EC_GROUP object
 247  *  \param  order  BIGNUM to which the order is copied
 248  *  \param  ctx    BN_CTX object (optional)
 249  *  \return 1 on success and 0 if an error occured
 250  */
 251 int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
 252
 253 /** Gets the cofactor of a EC_GROUP
 254  *  \param  group     EC_GROUP object
 255  *  \param  cofactor  BIGNUM to which the cofactor is copied
 256  *  \param  ctx       BN_CTX object (optional)
 257  *  \return 1 on success and 0 if an error occured
 258  */
 259 int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx);
 260
 261 /** Sets the name of a EC_GROUP object
 262  *  \param  group  EC_GROUP object
 263  *  \param  nid    NID of the curve name OID
 264  */
 265 void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
 266
 267 /** Returns the curve name of a EC_GROUP object
 268  *  \param  group  EC_GROUP object
 269  *  \return NID of the curve name OID or 0 if not set.
 270  */
 271 int EC_GROUP_get_curve_name(const EC_GROUP *group);
 272
 273 void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
 274 int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
 275
 276 void EC_GROUP_set_point_conversion_form(EC_GROUP *group, point_conversion_form_t form);
 277 point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
 278
 279 unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
 280 size_t EC_GROUP_get_seed_len(const EC_GROUP *);
 281 size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
 282
 283 /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
 284  *  \param  group  EC_GROUP object
 285  *  \param  p      BIGNUM with the prime number
 286  *  \param  a      BIGNUM with parameter a of the equation
 287  *  \param  b      BIGNUM with parameter b of the equation
 288  *  \param  ctx    BN_CTX object (optional)
 289  *  \return 1 on success and 0 if an error occured
 290  */
 291 int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 292
 293 /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
 294  *  \param  group  EC_GROUP object
 295  *  \param  p      BIGNUM for the prime number
 296  *  \param  a      BIGNUM for parameter a of the equation
 297  *  \param  b      BIGNUM for parameter b of the equation
 298  *  \param  ctx    BN_CTX object (optional)
 299  *  \return 1 on success and 0 if an error occured
 300  */
 301 int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
 302
 303 #ifndef OPENSSL_NO_EC2M
 304 /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
 305  *  \param  group  EC_GROUP object
 306  *  \param  p      BIGNUM with the polynomial defining the underlying field
 307  *  \param  a      BIGNUM with parameter a of the equation
 308  *  \param  b      BIGNUM with parameter b of the equation
 309  *  \param  ctx    BN_CTX object (optional)
 310  *  \return 1 on success and 0 if an error occured
 311  */
 312 int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 313
 314 /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
 315  *  \param  group  EC_GROUP object
 316  *  \param  p      BIGNUM for the polynomial defining the underlying field
 317  *  \param  a      BIGNUM for parameter a of the equation
 318  *  \param  b      BIGNUM for parameter b of the equation
 319  *  \param  ctx    BN_CTX object (optional)
 320  *  \return 1 on success and 0 if an error occured
 321  */
 322 int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
 323 #endif
 324 /** Returns the number of bits needed to represent a field element
 325  *  \param  group  EC_GROUP object
 326  *  \return number of bits needed to represent a field element
 327  */
 328 int EC_GROUP_get_degree(const EC_GROUP *group);
 329
 330 /** Checks whether the parameter in the EC_GROUP define a valid ec group
 331  *  \param  group  EC_GROUP object
 332  *  \param  ctx    BN_CTX object (optional)
 333  *  \return 1 if group is a valid ec group and 0 otherwise
 334  */
 335 int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
 336
 337 /** Checks whether the discriminant of the elliptic curve is zero or not
 338  *  \param  group  EC_GROUP object
 339  *  \param  ctx    BN_CTX object (optional)
 340  *  \return 1 if the discriminant is not zero and 0 otherwise
 341  */
 342 int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
 343
 344 /** Compares two EC_GROUP objects
 345  *  \param  a    first EC_GROUP object
 346  *  \param  b    second EC_GROUP object
 347  *  \param  ctx  BN_CTX object (optional)
 348  *  \return 0 if both groups are equal and 1 otherwise
 349  */
 350 int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
 351
 352 /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*()
 353  * after choosing an appropriate EC_METHOD */
 354
 355 /** Creates a new EC_GROUP object with the specified parameters defined
 356  *  over GFp (defined by the equation y^2 = x^3 + a*x + b)
 357  *  \param  p    BIGNUM with the prime number
 358  *  \param  a    BIGNUM with the parameter a of the equation
 359  *  \param  b    BIGNUM with the parameter b of the equation
 360  *  \param  ctx  BN_CTX object (optional)
 361  *  \return newly created EC_GROUP object with the specified parameters
 362  */
 363 EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 364 #ifndef OPENSSL_NO_EC2M
 365 /** Creates a new EC_GROUP object with the specified parameters defined
 366  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
 367  *  \param  p    BIGNUM with the polynomial defining the underlying field
 368  *  \param  a    BIGNUM with the parameter a of the equation
 369  *  \param  b    BIGNUM with the parameter b of the equation
 370  *  \param  ctx  BN_CTX object (optional)
 371  *  \return newly created EC_GROUP object with the specified parameters
 372  */
 373 EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
 374 #endif
 375 /** Creates a EC_GROUP object with a curve specified by a NID
 376  *  \param  nid  NID of the OID of the curve name
 377  *  \return newly created EC_GROUP object with specified curve or NULL
 378  *          if an error occurred
 379  */
 380 EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
 381
 382
 383 /********************************************************************/
 384 /*               handling of internal curves                        */
 385 /********************************************************************/
 386
 387 typedef struct {
 388         int nid;
 389         const char *comment;
 390         } EC_builtin_curve;
 391
 392 /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number
 393  * of all available curves or zero if a error occurred.
 394  * In case r ist not zero nitems EC_builtin_curve structures
 395  * are filled with the data of the first nitems internal groups */
 396 size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
 397
 398 const char *EC_curve_nid2nist(int nid);
 399 int EC_curve_nist2nid(const char *name);
 400
 401 /********************************************************************/
 402 /*                    EC_POINT functions                            */
 403 /********************************************************************/
 404
 405 /** Creates a new EC_POINT object for the specified EC_GROUP
 406  *  \param  group  EC_GROUP the underlying EC_GROUP object
 407  *  \return newly created EC_POINT object or NULL if an error occurred
 408  */
 409 EC_POINT *EC_POINT_new(const EC_GROUP *group);
 410
 411 /** Frees a EC_POINT object
 412  *  \param  point  EC_POINT object to be freed
 413  */
 414 void EC_POINT_free(EC_POINT *point);
 415
 416 /** Clears and frees a EC_POINT object
 417  *  \param  point  EC_POINT object to be cleared and freed
 418  */
 419 void EC_POINT_clear_free(EC_POINT *point);
 420
 421 /** Copies EC_POINT object
 422  *  \param  dst  destination EC_POINT object
 423  *  \param  src  source EC_POINT object
 424  *  \return 1 on success and 0 if an error occured
 425  */
 426 int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
 427
 428 /** Creates a new EC_POINT object and copies the content of the supplied
 429  *  EC_POINT
 430  *  \param  src    source EC_POINT object
 431  *  \param  group  underlying the EC_GROUP object
 432  *  \return newly created EC_POINT object or NULL if an error occurred
 433  */
 434 EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
 435
 436 /** Returns the EC_METHOD used in EC_POINT object
 437  *  \param  point  EC_POINT object
 438  *  \return the EC_METHOD used
 439  */
 440 const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
 441
 442 /** Sets a point to infinity (neutral element)
 443  *  \param  group  underlying EC_GROUP object
 444  *  \param  point  EC_POINT to set to infinity
 445  *  \return 1 on success and 0 if an error occured
 446  */
 447 int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
 448
 449 /** Sets the jacobian projective coordinates of a EC_POINT over GFp
 450  *  \param  group  underlying EC_GROUP object
 451  *  \param  p      EC_POINT object
 452  *  \param  x      BIGNUM with the x-coordinate
 453  *  \param  y      BIGNUM with the y-coordinate
 454  *  \param  z      BIGNUM with the z-coordinate
 455  *  \param  ctx    BN_CTX object (optional)
 456  *  \return 1 on success and 0 if an error occured
 457  */
 458 int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 459         const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
 460
 461 /** Gets the jacobian projective coordinates of a EC_POINT over GFp
 462  *  \param  group  underlying EC_GROUP object
 463  *  \param  p      EC_POINT object
 464  *  \param  x      BIGNUM for the x-coordinate
 465  *  \param  y      BIGNUM for the y-coordinate
 466  *  \param  z      BIGNUM for the z-coordinate
 467  *  \param  ctx    BN_CTX object (optional)
 468  *  \return 1 on success and 0 if an error occured
 469  */
 470 int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
 471         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
 472
 473 /** Sets the affine coordinates of a EC_POINT over GFp
 474  *  \param  group  underlying EC_GROUP object
 475  *  \param  p      EC_POINT object
 476  *  \param  x      BIGNUM with the x-coordinate
 477  *  \param  y      BIGNUM with the y-coordinate
 478  *  \param  ctx    BN_CTX object (optional)
 479  *  \return 1 on success and 0 if an error occured
 480  */
 481 int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 482         const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
 483
 484 /** Gets the affine coordinates of a EC_POINT over GFp
 485  *  \param  group  underlying EC_GROUP object
 486  *  \param  p      EC_POINT object
 487  *  \param  x      BIGNUM for the x-coordinate
 488  *  \param  y      BIGNUM for the y-coordinate
 489  *  \param  ctx    BN_CTX object (optional)
 490  *  \return 1 on success and 0 if an error occured
 491  */
 492 int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
 493         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
 494
 495 /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
 496  *  \param  group  underlying EC_GROUP object
 497  *  \param  p      EC_POINT object
 498  *  \param  x      BIGNUM with x-coordinate
 499  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
 500  *  \param  ctx    BN_CTX object (optional)
 501  *  \return 1 on success and 0 if an error occured
 502  */
 503 int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
 504         const BIGNUM *x, int y_bit, BN_CTX *ctx);
 505 #ifndef OPENSSL_NO_EC2M
 506 /** Sets the affine coordinates of a EC_POINT over GF2m
 507  *  \param  group  underlying EC_GROUP object
 508  *  \param  p      EC_POINT object
 509  *  \param  x      BIGNUM with the x-coordinate
 510  *  \param  y      BIGNUM with the y-coordinate
 511  *  \param  ctx    BN_CTX object (optional)
 512  *  \return 1 on success and 0 if an error occured
 513  */
 514 int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
 515         const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
 516
 517 /** Gets the affine coordinates of a EC_POINT over GF2m
 518  *  \param  group  underlying EC_GROUP object
 519  *  \param  p      EC_POINT object
 520  *  \param  x      BIGNUM for the x-coordinate
 521  *  \param  y      BIGNUM for the y-coordinate
 522  *  \param  ctx    BN_CTX object (optional)
 523  *  \return 1 on success and 0 if an error occured
 524  */
 525 int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
 526         const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
 527
 528 /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
 529  *  \param  group  underlying EC_GROUP object
 530  *  \param  p      EC_POINT object
 531  *  \param  x      BIGNUM with x-coordinate
 532  *  \param  y_bit  integer with the y-Bit (either 0 or 1)
 533  *  \param  ctx    BN_CTX object (optional)
 534  *  \return 1 on success and 0 if an error occured
 535  */
 536 int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
 537         const BIGNUM *x, int y_bit, BN_CTX *ctx);
 538 #endif
 539 /** Encodes a EC_POINT object to a octet string
 540  *  \param  group  underlying EC_GROUP object
 541  *  \param  p      EC_POINT object
 542  *  \param  form   point conversion form
 543  *  \param  buf    memory buffer for the result. If NULL the function returns
 544  *                 required buffer size.
 545  *  \param  len    length of the memory buffer
 546  *  \param  ctx    BN_CTX object (optional)
 547  *  \return the length of the encoded octet string or 0 if an error occurred
 548  */
 549 size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
 550         point_conversion_form_t form,
 551         unsigned char *buf, size_t len, BN_CTX *ctx);
 552
 553 /** Decodes a EC_POINT from a octet string
 554  *  \param  group  underlying EC_GROUP object
 555  *  \param  p      EC_POINT object
 556  *  \param  buf    memory buffer with the encoded ec point
 557  *  \param  len    length of the encoded ec point
 558  *  \param  ctx    BN_CTX object (optional)
 559  *  \return 1 on success and 0 if an error occured
 560  */
 561 int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
 562         const unsigned char *buf, size_t len, BN_CTX *ctx);
 563
 564 /* other interfaces to point2oct/oct2point: */
 565 BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
 566         point_conversion_form_t form, BIGNUM *, BN_CTX *);
 567 EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
 568         EC_POINT *, BN_CTX *);
 569 char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
 570         point_conversion_form_t form, BN_CTX *);
 571 EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
 572         EC_POINT *, BN_CTX *);
 573
 574
 575 /********************************************************************/
 576 /*         functions for doing EC_POINT arithmetic                  */
 577 /********************************************************************/
 578
 579 /** Computes the sum of two EC_POINT
 580  *  \param  group  underlying EC_GROUP object
 581  *  \param  r      EC_POINT object for the result (r = a + b)
 582  *  \param  a      EC_POINT object with the first summand
 583  *  \param  b      EC_POINT object with the second summand
 584  *  \param  ctx    BN_CTX object (optional)
 585  *  \return 1 on success and 0 if an error occured
 586  */
 587 int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
 588
 589 /** Computes the double of a EC_POINT
 590  *  \param  group  underlying EC_GROUP object
 591  *  \param  r      EC_POINT object for the result (r = 2 * a)
 592  *  \param  a      EC_POINT object
 593  *  \param  ctx    BN_CTX object (optional)
 594  *  \return 1 on success and 0 if an error occured
 595  */
 596 int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
 597
 598 /** Computes the inverse of a EC_POINT
 599  *  \param  group  underlying EC_GROUP object
 600  *  \param  a      EC_POINT object to be inverted (it's used for the result as well)
 601  *  \param  ctx    BN_CTX object (optional)
 602  *  \return 1 on success and 0 if an error occured
 603  */
 604 int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
 605
 606 /** Checks whether the point is the neutral element of the group
 607  *  \param  group  the underlying EC_GROUP object
 608  *  \param  p      EC_POINT object
 609  *  \return 1 if the point is the neutral element and 0 otherwise
 610  */
 611 int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
 612
 613 /** Checks whether the point is on the curve
 614  *  \param  group  underlying EC_GROUP object
 615  *  \param  point  EC_POINT object to check
 616  *  \param  ctx    BN_CTX object (optional)
 617  *  \return 1 if point if on the curve and 0 otherwise
 618  */
 619 int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
 620
 621 /** Compares two EC_POINTs
 622  *  \param  group  underlying EC_GROUP object
 623  *  \param  a      first EC_POINT object
 624  *  \param  b      second EC_POINT object
 625  *  \param  ctx    BN_CTX object (optional)
 626  *  \return 0 if both points are equal and a value != 0 otherwise
 627  */
 628 int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
 629
 630 int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
 631 int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
 632
 633 /** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
 634  *  \param  group  underlying EC_GROUP object
 635  *  \param  r      EC_POINT object for the result
 636  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
 637  *  \param  num    number futher summands
 638  *  \param  p      array of size num of EC_POINT objects
 639  *  \param  m      array of size num of BIGNUM objects
 640  *  \param  ctx    BN_CTX object (optional)
 641  *  \return 1 on success and 0 if an error occured
 642  */
 643 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);
 644
 645 /** Computes r = generator * n + q * m
 646  *  \param  group  underlying EC_GROUP object
 647  *  \param  r      EC_POINT object for the result
 648  *  \param  n      BIGNUM with the multiplier for the group generator (optional)
 649  *  \param  q      EC_POINT object with the first factor of the second summand
 650  *  \param  m      BIGNUM with the second factor of the second summand
 651  *  \param  ctx    BN_CTX object (optional)
 652  *  \return 1 on success and 0 if an error occured
 653  */
 654 int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
 655
 656 /** Stores multiples of generator for faster point multiplication
 657  *  \param  group  EC_GROUP object
 658  *  \param  ctx    BN_CTX object (optional)
 659  *  \return 1 on success and 0 if an error occured
 660  */
 661 int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
 662
 663 /** Reports whether a precomputation has been done
 664  *  \param  group  EC_GROUP object
 665  *  \return 1 if a pre-computation has been done and 0 otherwise
 666  */
 667 int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
 668
 669
 670 /********************************************************************/
 671 /*                       ASN1 stuff                                 */
 672 /********************************************************************/
 673
 674 /* EC_GROUP_get_basis_type() returns the NID of the basis type
 675  * used to represent the field elements */
 676 int EC_GROUP_get_basis_type(const EC_GROUP *);
 677 #ifndef OPENSSL_NO_EC2M
 678 int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
 679 int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
 680         unsigned int *k2, unsigned int *k3);
 681 #endif
 682
 683 #define OPENSSL_EC_NAMED_CURVE  0x001
 684
 685 typedef struct ecpk_parameters_st ECPKPARAMETERS;
 686
 687 EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
 688 int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
 689
 690 #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
 691 #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
 692 #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
 693                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
 694 #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
 695                 (unsigned char *)(x))
 696
 697 #ifndef OPENSSL_NO_BIO
 698 int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
 699 #endif
 700 int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
 701
 702
 703 /********************************************************************/
 704 /*                      EC_KEY functions                            */
 705 /********************************************************************/
 706
 707 typedef struct ec_key_st EC_KEY;
 708
 709 /* some values for the encoding_flag */
 710 #define EC_PKEY_NO_PARAMETERS   0x001
 711 #define EC_PKEY_NO_PUBKEY       0x002
 712
 713 /* some values for the flags field */
 714 #define EC_FLAG_NON_FIPS_ALLOW  0x1
 715 #define EC_FLAG_FIPS_CHECKED    0x2
 716
 717 /** Creates a new EC_KEY object.
 718  *  \return EC_KEY object or NULL if an error occurred.
 719  */
 720 EC_KEY *EC_KEY_new(void);
 721
 722 int EC_KEY_get_flags(const EC_KEY *key);
 723
 724 void EC_KEY_set_flags(EC_KEY *key, int flags);
 725
 726 void EC_KEY_clear_flags(EC_KEY *key, int flags);
 727
 728 /** Creates a new EC_KEY object using a named curve as underlying
 729  *  EC_GROUP object.
 730  *  \param  nid  NID of the named curve.
 731  *  \return EC_KEY object or NULL if an error occurred.
 732  */
 733 EC_KEY *EC_KEY_new_by_curve_name(int nid);
 734
 735 /** Frees a EC_KEY object.
 736  *  \param  key  EC_KEY object to be freed.
 737  */
 738 void EC_KEY_free(EC_KEY *key);
 739
 740 /** Copies a EC_KEY object.
 741  *  \param  dst  destination EC_KEY object
 742  *  \param  src  src EC_KEY object
 743  *  \return dst or NULL if an error occurred.
 744  */
 745 EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
 746
 747 /** Creates a new EC_KEY object and copies the content from src to it.
 748  *  \param  src  the source EC_KEY object
 749  *  \return newly created EC_KEY object or NULL if an error occurred.
 750  */
 751 EC_KEY *EC_KEY_dup(const EC_KEY *src);
 752
 753 /** Increases the internal reference count of a EC_KEY object.
 754  *  \param  key  EC_KEY object
 755  *  \return 1 on success and 0 if an error occurred.
 756  */
 757 int EC_KEY_up_ref(EC_KEY *key);
 758
 759 /** Returns the EC_GROUP object of a EC_KEY object
 760  *  \param  key  EC_KEY object
 761  *  \return the EC_GROUP object (possibly NULL).
 762  */
 763 const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
 764
 765 /** Sets the EC_GROUP of a EC_KEY object.
 766  *  \param  key    EC_KEY object
 767  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY
 768  *                 object will use an own copy of the EC_GROUP).
 769  *  \return 1 on success and 0 if an error occurred.
 770  */
 771 int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
 772
 773 /** Returns the private key of a EC_KEY object.
 774  *  \param  key  EC_KEY object
 775  *  \return a BIGNUM with the private key (possibly NULL).
 776  */
 777 const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
 778
 779 /** Sets the private key of a EC_KEY object.
 780  *  \param  key  EC_KEY object
 781  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object
 782  *               will use an own copy of the BIGNUM).
 783  *  \return 1 on success and 0 if an error occurred.
 784  */
 785 int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
 786
 787 /** Returns the public key of a EC_KEY object.
 788  *  \param  key  the EC_KEY object
 789  *  \return a EC_POINT object with the public key (possibly NULL)
 790  */
 791 const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
 792
 793 /** Sets the public key of a EC_KEY object.
 794  *  \param  key  EC_KEY object
 795  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object
 796  *               will use an own copy of the EC_POINT object).
 797  *  \return 1 on success and 0 if an error occurred.
 798  */
 799 int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
 800
 801 unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
 802 void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
 803 point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
 804 void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
 805 /* functions to set/get method specific data  */
 806 void *EC_KEY_get_key_method_data(EC_KEY *key,
 807         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
 808 /** Sets the key method data of an EC_KEY object, if none has yet been set.
 809  *  \param  key              EC_KEY object
 810  *  \param  data             opaque data to install.
 811  *  \param  dup_func         a function that duplicates |data|.
 812  *  \param  free_func        a function that frees |data|.
 813  *  \param  clear_free_func  a function that wipes and frees |data|.
 814  *  \return the previously set data pointer, or NULL if |data| was inserted.
 815  */
 816 void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
 817         void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
 818 /* wrapper functions for the underlying EC_GROUP object */
 819 void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
 820
 821 /** Creates a table of pre-computed multiples of the generator to
 822  *  accelerate further EC_KEY operations.
 823  *  \param  key  EC_KEY object
 824  *  \param  ctx  BN_CTX object (optional)
 825  *  \return 1 on success and 0 if an error occurred.
 826  */
 827 int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
 828
 829 /** Creates a new ec private (and optional a new public) key.
 830  *  \param  key  EC_KEY object
 831  *  \return 1 on success and 0 if an error occurred.
 832  */
 833 int EC_KEY_generate_key(EC_KEY *key);
 834
 835 /** Verifies that a private and/or public key is valid.
 836  *  \param  key  the EC_KEY object
 837  *  \return 1 on success and 0 otherwise.
 838  */
 839 int EC_KEY_check_key(const EC_KEY *key);
 840
 841 /** Sets a public key from affine coordindates performing
 842  *  neccessary NIST PKV tests.
 843  *  \param  key  the EC_KEY object
 844  *  \param  x    public key x coordinate
 845  *  \param  y    public key y coordinate
 846  *  \return 1 on success and 0 otherwise.
 847  */
 848 int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
 849
 850
 851 /********************************************************************/
 852 /*        de- and encoding functions for SEC1 ECPrivateKey          */
 853 /********************************************************************/
 854
 855 /** Decodes a private key from a memory buffer.
 856  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
 857  *  \param  in   pointer to memory with the DER encoded private key
 858  *  \param  len  length of the DER encoded private key
 859  *  \return the decoded private key or NULL if an error occurred.
 860  */
 861 EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
 862
 863 /** Encodes a private key object and stores the result in a buffer.
 864  *  \param  key  the EC_KEY object to encode
 865  *  \param  out  the buffer for the result (if NULL the function returns number
 866  *               of bytes needed).
 867  *  \return 1 on success and 0 if an error occurred.
 868  */
 869 int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
 870
 871
 872 /********************************************************************/
 873 /*        de- and encoding functions for EC parameters              */
 874 /********************************************************************/
 875
 876 /** Decodes ec parameter from a memory buffer.
 877  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL)
 878  *  \param  in   pointer to memory with the DER encoded ec parameters
 879  *  \param  len  length of the DER encoded ec parameters
 880  *  \return a EC_KEY object with the decoded parameters or NULL if an error
 881  *          occurred.
 882  */
 883 EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
 884
 885 /** Encodes ec parameter and stores the result in a buffer.
 886  *  \param  key  the EC_KEY object with ec paramters to encode
 887  *  \param  out  the buffer for the result (if NULL the function returns number
 888  *               of bytes needed).
 889  *  \return 1 on success and 0 if an error occurred.
 890  */
 891 int i2d_ECParameters(EC_KEY *key, unsigned char **out);
 892
 893
 894 /********************************************************************/
 895 /*         de- and encoding functions for EC public key             */
 896 /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */
 897 /********************************************************************/
 898
 899 /** Decodes a ec public key from a octet string.
 900  *  \param  key  a pointer to a EC_KEY object which should be used
 901  *  \param  in   memory buffer with the encoded public key
 902  *  \param  len  length of the encoded public key
 903  *  \return EC_KEY object with decoded public key or NULL if an error
 904  *          occurred.
 905  */
 906 EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
 907
 908 /** Encodes a ec public key in an octet string.
 909  *  \param  key  the EC_KEY object with the public key
 910  *  \param  out  the buffer for the result (if NULL the function returns number
 911  *               of bytes needed).
 912  *  \return 1 on success and 0 if an error occurred
 913  */
 914 int i2o_ECPublicKey(const EC_KEY *key, unsigned char **out);
 915
 916 #ifndef OPENSSL_NO_BIO
 917 /** Prints out the ec parameters on human readable form.
 918  *  \param  bp   BIO object to which the information is printed
 919  *  \param  key  EC_KEY object
 920  *  \return 1 on success and 0 if an error occurred
 921  */
 922 int     ECParameters_print(BIO *bp, const EC_KEY *key);
 923
 924 /** Prints out the contents of a EC_KEY object
 925  *  \param  bp   BIO object to which the information is printed
 926  *  \param  key  EC_KEY object
 927  *  \param  off  line offset
 928  *  \return 1 on success and 0 if an error occurred
 929  */
 930 int     EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
 931
 932 #endif
 933 /** Prints out the ec parameters on human readable form.
 934  *  \param  fp   file descriptor to which the information is printed
 935  *  \param  key  EC_KEY object
 936  *  \return 1 on success and 0 if an error occurred
 937  */
 938 int     ECParameters_print_fp(FILE *fp, const EC_KEY *key);
 939
 940 /** Prints out the contents of a EC_KEY object
 941  *  \param  fp   file descriptor to which the information is printed
 942  *  \param  key  EC_KEY object
 943  *  \param  off  line offset
 944  *  \return 1 on success and 0 if an error occurred
 945  */
 946 int     EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
 947
 948 EC_KEY *ECParameters_dup(EC_KEY *key);
 949
 950 #ifndef __cplusplus
 951 #if defined(__SUNPRO_C)
 952 #  if __SUNPRO_C >= 0x520
 953 # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
 954 #  endif
 955 # endif
 956 #endif
 957
 958 #define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
 959         EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
 960                                 EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
 961
 962
 963 #define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID             (EVP_PKEY_ALG_CTRL + 1)
 964
 965 /* BEGIN ERROR CODES */
 966 /* The following lines are auto generated by the script mkerr.pl. Any changes
 967  * made after this point may be overwritten when the script is next run.
 968  */
 969 void ERR_load_EC_strings(void);
 970
 971 /* Error codes for the EC functions. */
 972
 973 /* Function codes. */
 974 #define EC_F_BN_TO_FELEM                                 224
 975 #define EC_F_COMPUTE_WNAF                                143
 976 #define EC_F_D2I_ECPARAMETERS                            144
 977 #define EC_F_D2I_ECPKPARAMETERS                          145
 978 #define EC_F_D2I_ECPRIVATEKEY                            146
 979 #define EC_F_DO_EC_KEY_PRINT                             221
 980 #define EC_F_ECKEY_PARAM2TYPE                            223
 981 #define EC_F_ECKEY_PARAM_DECODE                          212
 982 #define EC_F_ECKEY_PRIV_DECODE                           213
 983 #define EC_F_ECKEY_PRIV_ENCODE                           214
 984 #define EC_F_ECKEY_PUB_DECODE                            215
 985 #define EC_F_ECKEY_PUB_ENCODE                            216
 986 #define EC_F_ECKEY_TYPE2PARAM                            220
 987 #define EC_F_ECPARAMETERS_PRINT                          147
 988 #define EC_F_ECPARAMETERS_PRINT_FP                       148
 989 #define EC_F_ECPKPARAMETERS_PRINT                        149
 990 #define EC_F_ECPKPARAMETERS_PRINT_FP                     150
 991 #define EC_F_ECP_NIST_MOD_192                            203
 992 #define EC_F_ECP_NIST_MOD_224                            204
 993 #define EC_F_ECP_NIST_MOD_256                            205
 994 #define EC_F_ECP_NIST_MOD_521                            206
 995 #define EC_F_ECP_NISTZ256_GET_AFFINE                     240
 996 #define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE                243
 997 #define EC_F_ECP_NISTZ256_POINTS_MUL                     241
 998 #define EC_F_ECP_NISTZ256_PRE_COMP_NEW                   244
 999 #define EC_F_ECP_NISTZ256_SET_WORDS                      245
1000 #define EC_F_ECP_NISTZ256_WINDOWED_MUL                   242
1001 #define EC_F_EC_ASN1_GROUP2CURVE                         153
1002 #define EC_F_EC_ASN1_GROUP2FIELDID                       154
1003 #define EC_F_EC_ASN1_GROUP2PARAMETERS                    155
1004 #define EC_F_EC_ASN1_GROUP2PKPARAMETERS                  156
1005 #define EC_F_EC_ASN1_PARAMETERS2GROUP                    157
1006 #define EC_F_EC_ASN1_PKPARAMETERS2GROUP                  158
1007 #define EC_F_EC_EX_DATA_SET_DATA                         211
1008 #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY           208
1009 #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT     159
1010 #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE              195
1011 #define EC_F_EC_GF2M_SIMPLE_OCT2POINT                    160
1012 #define EC_F_EC_GF2M_SIMPLE_POINT2OCT                    161
1013 #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162
1014 #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163
1015 #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES   164
1016 #define EC_F_EC_GFP_MONT_FIELD_DECODE                    133
1017 #define EC_F_EC_GFP_MONT_FIELD_ENCODE                    134
1018 #define EC_F_EC_GFP_MONT_FIELD_MUL                       131
1019 #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE                209
1020 #define EC_F_EC_GFP_MONT_FIELD_SQR                       132
1021 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE                 189
1022 #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP             135
1023 #define EC_F_EC_GFP_NISTP224_GROUP_SET_CURVE             225
1024 #define EC_F_EC_GFP_NISTP224_POINTS_MUL                  228
1025 #define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
1026 #define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE             230
1027 #define EC_F_EC_GFP_NISTP256_POINTS_MUL                  231
1028 #define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
1029 #define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE             233
1030 #define EC_F_EC_GFP_NISTP521_POINTS_MUL                  234
1031 #define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
1032 #define EC_F_EC_GFP_NIST_FIELD_MUL                       200
1033 #define EC_F_EC_GFP_NIST_FIELD_SQR                       201
1034 #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE                 202
1035 #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT      165
1036 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE               166
1037 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP           100
1038 #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR           101
1039 #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE                   102
1040 #define EC_F_EC_GFP_SIMPLE_OCT2POINT                     103
1041 #define EC_F_EC_GFP_SIMPLE_POINT2OCT                     104
1042 #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE            137
1043 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES  167
1044 #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
1045 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES  168
1046 #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
1047 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES    169
1048 #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
1049 #define EC_F_EC_GROUP_CHECK                              170
1050 #define EC_F_EC_GROUP_CHECK_DISCRIMINANT                 171
1051 #define EC_F_EC_GROUP_COPY                               106
1052 #define EC_F_EC_GROUP_GET0_GENERATOR                     139
1053 #define EC_F_EC_GROUP_GET_COFACTOR                       140
1054 #define EC_F_EC_GROUP_GET_CURVE_GF2M                     172
1055 #define EC_F_EC_GROUP_GET_CURVE_GFP                      130
1056 #define EC_F_EC_GROUP_GET_DEGREE                         173
1057 #define EC_F_EC_GROUP_GET_ORDER                          141
1058 #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS              193
1059 #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS                194
1060 #define EC_F_EC_GROUP_NEW                                108
1061 #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME                  174
1062 #define EC_F_EC_GROUP_NEW_FROM_DATA                      175
1063 #define EC_F_EC_GROUP_PRECOMPUTE_MULT                    142
1064 #define EC_F_EC_GROUP_SET_CURVE_GF2M                     176
1065 #define EC_F_EC_GROUP_SET_CURVE_GFP                      109
1066 #define EC_F_EC_GROUP_SET_EXTRA_DATA                     110
1067 #define EC_F_EC_GROUP_SET_GENERATOR                      111
1068 #define EC_F_EC_KEY_CHECK_KEY                            177
1069 #define EC_F_EC_KEY_COPY                                 178
1070 #define EC_F_EC_KEY_GENERATE_KEY                         179
1071 #define EC_F_EC_KEY_NEW                                  182
1072 #define EC_F_EC_KEY_PRINT                                180
1073 #define EC_F_EC_KEY_PRINT_FP                             181
1074 #define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES    229
1075 #define EC_F_EC_POINTS_MAKE_AFFINE                       136
1076 #define EC_F_EC_POINT_ADD                                112
1077 #define EC_F_EC_POINT_CMP                                113
1078 #define EC_F_EC_POINT_COPY                               114
1079 #define EC_F_EC_POINT_DBL                                115
1080 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M        183
1081 #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP         116
1082 #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP    117
1083 #define EC_F_EC_POINT_INVERT                             210
1084 #define EC_F_EC_POINT_IS_AT_INFINITY                     118
1085 #define EC_F_EC_POINT_IS_ON_CURVE                        119
1086 #define EC_F_EC_POINT_MAKE_AFFINE                        120
1087 #define EC_F_EC_POINT_MUL                                184
1088 #define EC_F_EC_POINT_NEW                                121
1089 #define EC_F_EC_POINT_OCT2POINT                          122
1090 #define EC_F_EC_POINT_POINT2OCT                          123
1091 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M        185
1092 #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP         124
1093 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M    186
1094 #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP     125
1095 #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP    126
1096 #define EC_F_EC_POINT_SET_TO_INFINITY                    127
1097 #define EC_F_EC_PRE_COMP_DUP                             207
1098 #define EC_F_EC_PRE_COMP_NEW                             196
1099 #define EC_F_EC_WNAF_MUL                                 187
1100 #define EC_F_EC_WNAF_PRECOMPUTE_MULT                     188
1101 #define EC_F_I2D_ECPARAMETERS                            190
1102 #define EC_F_I2D_ECPKPARAMETERS                          191
1103 #define EC_F_I2D_ECPRIVATEKEY                            192
1104 #define EC_F_I2O_ECPUBLICKEY                             151
1105 #define EC_F_NISTP224_PRE_COMP_NEW                       227
1106 #define EC_F_NISTP256_PRE_COMP_NEW                       236
1107 #define EC_F_NISTP521_PRE_COMP_NEW                       237
1108 #define EC_F_O2I_ECPUBLICKEY                             152
1109 #define EC_F_OLD_EC_PRIV_DECODE                          222
1110 #define EC_F_PKEY_EC_CTRL                                197
1111 #define EC_F_PKEY_EC_CTRL_STR                            198
1112 #define EC_F_PKEY_EC_DERIVE                              217
1113 #define EC_F_PKEY_EC_KEYGEN                              199
1114 #define EC_F_PKEY_EC_PARAMGEN                            219
1115 #define EC_F_PKEY_EC_SIGN                                218
1116
1117 /* Reason codes. */
1118 #define EC_R_ASN1_ERROR                                  115
1119 #define EC_R_ASN1_UNKNOWN_FIELD                          116
1120 #define EC_R_BIGNUM_OUT_OF_RANGE                         144
1121 #define EC_R_BUFFER_TOO_SMALL                            100
1122 #define EC_R_COORDINATES_OUT_OF_RANGE                    146
1123 #define EC_R_D2I_ECPKPARAMETERS_FAILURE                  117
1124 #define EC_R_DECODE_ERROR                                142
1125 #define EC_R_DISCRIMINANT_IS_ZERO                        118
1126 #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE                119
1127 #define EC_R_FIELD_TOO_LARGE                             143
1128 #define EC_R_GF2M_NOT_SUPPORTED                          147
1129 #define EC_R_GROUP2PKPARAMETERS_FAILURE                  120
1130 #define EC_R_I2D_ECPKPARAMETERS_FAILURE                  121
1131 #define EC_R_INCOMPATIBLE_OBJECTS                        101
1132 #define EC_R_INVALID_ARGUMENT                            112
1133 #define EC_R_INVALID_COMPRESSED_POINT                    110
1134 #define EC_R_INVALID_COMPRESSION_BIT                     109
1135 #define EC_R_INVALID_CURVE                               141
1136 #define EC_R_INVALID_DIGEST_TYPE                         138
1137 #define EC_R_INVALID_ENCODING                            102
1138 #define EC_R_INVALID_FIELD                               103
1139 #define EC_R_INVALID_FORM                                104
1140 #define EC_R_INVALID_GROUP_ORDER                         122
1141 #define EC_R_INVALID_PENTANOMIAL_BASIS                   132
1142 #define EC_R_INVALID_PRIVATE_KEY                         123
1143 #define EC_R_INVALID_TRINOMIAL_BASIS                     137
1144 #define EC_R_KEYS_NOT_SET                                140
1145 #define EC_R_MISSING_PARAMETERS                          124
1146 #define EC_R_MISSING_PRIVATE_KEY                         125
1147 #define EC_R_NOT_A_NIST_PRIME                            135
1148 #define EC_R_NOT_A_SUPPORTED_NIST_PRIME                  136
1149 #define EC_R_NOT_IMPLEMENTED                             126
1150 #define EC_R_NOT_INITIALIZED                             111
1151 #define EC_R_NO_FIELD_MOD                                133
1152 #define EC_R_NO_PARAMETERS_SET                           139
1153 #define EC_R_PASSED_NULL_PARAMETER                       134
1154 #define EC_R_PKPARAMETERS2GROUP_FAILURE                  127
1155 #define EC_R_POINT_AT_INFINITY                           106
1156 #define EC_R_POINT_IS_NOT_ON_CURVE                       107
1157 #define EC_R_SLOT_FULL                                   108
1158 #define EC_R_UNDEFINED_GENERATOR                         113
1159 #define EC_R_UNDEFINED_ORDER                             128
1160 #define EC_R_UNKNOWN_GROUP                               129
1161 #define EC_R_UNKNOWN_ORDER                               114
1162 #define EC_R_UNSUPPORTED_FIELD                           131
1163 #define EC_R_WRONG_CURVE_PARAMETERS                      145
1164 #define EC_R_WRONG_ORDER                                 130
1165
1166 #ifdef  __cplusplus
1167 }
1168 #endif
1169 #endif