| /* crypto/ec/ec.h */ | 
 | /* | 
 |  * Originally written by Bodo Moeller for the OpenSSL project. | 
 |  */ | 
 | /** | 
 |  * \file crypto/ec/ec.h Include file for the OpenSSL EC functions | 
 |  * \author Originally written by Bodo Moeller for the OpenSSL project | 
 |  */ | 
 | /* ==================================================================== | 
 |  * Copyright (c) 1998-2005 The OpenSSL Project.  All rights reserved. | 
 |  * | 
 |  * Redistribution and use in source and binary forms, with or without | 
 |  * modification, are permitted provided that the following conditions | 
 |  * are met: | 
 |  * | 
 |  * 1. Redistributions of source code must retain the above copyright | 
 |  *    notice, this list of conditions and the following disclaimer.  | 
 |  * | 
 |  * 2. Redistributions in binary form must reproduce the above copyright | 
 |  *    notice, this list of conditions and the following disclaimer in | 
 |  *    the documentation and/or other materials provided with the | 
 |  *    distribution. | 
 |  * | 
 |  * 3. All advertising materials mentioning features or use of this | 
 |  *    software must display the following acknowledgment: | 
 |  *    "This product includes software developed by the OpenSSL Project | 
 |  *    for use in the OpenSSL Toolkit. (http://www.openssl.org/)" | 
 |  * | 
 |  * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to | 
 |  *    endorse or promote products derived from this software without | 
 |  *    prior written permission. For written permission, please contact | 
 |  *    openssl-core@openssl.org. | 
 |  * | 
 |  * 5. Products derived from this software may not be called "OpenSSL" | 
 |  *    nor may "OpenSSL" appear in their names without prior written | 
 |  *    permission of the OpenSSL Project. | 
 |  * | 
 |  * 6. Redistributions of any form whatsoever must retain the following | 
 |  *    acknowledgment: | 
 |  *    "This product includes software developed by the OpenSSL Project | 
 |  *    for use in the OpenSSL Toolkit (http://www.openssl.org/)" | 
 |  * | 
 |  * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY | 
 |  * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE | 
 |  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR | 
 |  * PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE OpenSSL PROJECT OR | 
 |  * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, | 
 |  * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT | 
 |  * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | 
 |  * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) | 
 |  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, | 
 |  * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) | 
 |  * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED | 
 |  * OF THE POSSIBILITY OF SUCH DAMAGE. | 
 |  * ==================================================================== | 
 |  * | 
 |  * This product includes cryptographic software written by Eric Young | 
 |  * (eay@cryptsoft.com).  This product includes software written by Tim | 
 |  * Hudson (tjh@cryptsoft.com). | 
 |  * | 
 |  */ | 
 | /* ==================================================================== | 
 |  * Copyright 2002 Sun Microsystems, Inc. ALL RIGHTS RESERVED. | 
 |  * | 
 |  * Portions of the attached software ("Contribution") are developed by  | 
 |  * SUN MICROSYSTEMS, INC., and are contributed to the OpenSSL project. | 
 |  * | 
 |  * The Contribution is licensed pursuant to the OpenSSL open source | 
 |  * license provided above. | 
 |  * | 
 |  * The elliptic curve binary polynomial software is originally written by  | 
 |  * Sheueling Chang Shantz and Douglas Stebila of Sun Microsystems Laboratories. | 
 |  * | 
 |  */ | 
 |  | 
 | #ifndef HEADER_EC_H | 
 | #define HEADER_EC_H | 
 |  | 
 | #include <openssl/opensslconf.h> | 
 |  | 
 | #ifdef OPENSSL_NO_EC | 
 | #error EC is disabled. | 
 | #endif | 
 |  | 
 | #include <openssl/asn1.h> | 
 | #include <openssl/symhacks.h> | 
 | #ifndef OPENSSL_NO_DEPRECATED | 
 | #include <openssl/bn.h> | 
 | #endif | 
 |  | 
 | #ifdef  __cplusplus | 
 | extern "C" { | 
 | #elif defined(__SUNPRO_C) | 
 | # if __SUNPRO_C >= 0x520 | 
 | # pragma error_messages (off,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) | 
 | # endif | 
 | #endif | 
 |  | 
 | /** Enum for the point conversion form as defined in X9.62 (ECDSA) | 
 |  *  for the encoding of a elliptic curve point (x,y) */ | 
 | typedef enum { | 
 | 	/** the point is encoded as z||x, where the octet z specifies  | 
 | 	 *  which solution of the quadratic equation y is  */ | 
 | 	POINT_CONVERSION_COMPRESSED = 2, | 
 | 	/** the point is encoded as z||x||y, where z is the octet 0x02  */ | 
 | 	POINT_CONVERSION_UNCOMPRESSED = 4, | 
 | 	/** the point is encoded as z||x||y, where the octet z specifies | 
 |          *  which solution of the quadratic equation y is  */ | 
 | 	POINT_CONVERSION_HYBRID = 6 | 
 | } point_conversion_form_t; | 
 |  | 
 |  | 
 | typedef struct ec_method_st EC_METHOD; | 
 |  | 
 | typedef struct ec_group_st | 
 | 	/* | 
 | 	 EC_METHOD *meth; | 
 | 	 -- field definition | 
 | 	 -- curve coefficients | 
 | 	 -- optional generator with associated information (order, cofactor) | 
 | 	 -- optional extra data (precomputed table for fast computation of multiples of generator) | 
 | 	 -- ASN1 stuff | 
 | 	*/ | 
 | 	EC_GROUP; | 
 |  | 
 | typedef struct ec_point_st EC_POINT; | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*               EC_METHODs for curves over GF(p)                   */        | 
 | /********************************************************************/ | 
 |  | 
 | /** Returns the basic GFp ec methods which provides the basis for the | 
 |  *  optimized methods.  | 
 |  *  \return  EC_METHOD object | 
 |  */ | 
 | const EC_METHOD *EC_GFp_simple_method(void); | 
 |  | 
 | /** Returns GFp methods using montgomery multiplication. | 
 |  *  \return  EC_METHOD object | 
 |  */ | 
 | const EC_METHOD *EC_GFp_mont_method(void); | 
 |  | 
 | /** Returns GFp methods using optimized methods for NIST recommended curves | 
 |  *  \return  EC_METHOD object | 
 |  */ | 
 | const EC_METHOD *EC_GFp_nist_method(void); | 
 |  | 
 |  | 
 | /********************************************************************/  | 
 | /*           EC_METHOD for curves over GF(2^m)                      */ | 
 | /********************************************************************/ | 
 |  | 
 | /** Returns the basic GF2m ec method  | 
 |  *  \return  EC_METHOD object | 
 |  */ | 
 | const EC_METHOD *EC_GF2m_simple_method(void); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*                   EC_GROUP functions                             */ | 
 | /********************************************************************/ | 
 |  | 
 | /** Creates a new EC_GROUP object | 
 |  *  \param   meth  EC_METHOD to use | 
 |  *  \return  newly created EC_GROUP object or NULL in case of an error. | 
 |  */ | 
 | EC_GROUP *EC_GROUP_new(const EC_METHOD *meth); | 
 |  | 
 | /** Frees a EC_GROUP object | 
 |  *  \param  group  EC_GROUP object to be freed. | 
 |  */ | 
 | void EC_GROUP_free(EC_GROUP *group); | 
 |  | 
 | /** Clears and frees a EC_GROUP object | 
 |  *  \param  group  EC_GROUP object to be cleared and freed. | 
 |  */ | 
 | void EC_GROUP_clear_free(EC_GROUP *group); | 
 |  | 
 | /** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD. | 
 |  *  \param  dst  destination EC_GROUP object | 
 |  *  \param  src  source EC_GROUP object | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src); | 
 |  | 
 | /** Creates a new EC_GROUP object and copies the copies the content | 
 |  *  form src to the newly created EC_KEY object | 
 |  *  \param  src  source EC_GROUP object | 
 |  *  \return newly created EC_GROUP object or NULL in case of an error. | 
 |  */ | 
 | EC_GROUP *EC_GROUP_dup(const EC_GROUP *src); | 
 |  | 
 | /** Returns the EC_METHOD of the EC_GROUP object. | 
 |  *  \param  group  EC_GROUP object  | 
 |  *  \return EC_METHOD used in this EC_GROUP object. | 
 |  */ | 
 | const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group); | 
 |  | 
 | /** Returns the field type of the EC_METHOD. | 
 |  *  \param  meth  EC_METHOD object | 
 |  *  \return NID of the underlying field type OID. | 
 |  */ | 
 | int EC_METHOD_get_field_type(const EC_METHOD *meth); | 
 |  | 
 | /** Sets the generator and it's order/cofactor of a EC_GROUP object. | 
 |  *  \param  group      EC_GROUP object  | 
 |  *  \param  generator  EC_POINT object with the generator. | 
 |  *  \param  order      the order of the group generated by the generator. | 
 |  *  \param  cofactor   the index of the sub-group generated by the generator | 
 |  *                     in the group of all points on the elliptic curve. | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor); | 
 |  | 
 | /** Returns the generator of a EC_GROUP object. | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \return the currently used generator (possibly NULL). | 
 |  */ | 
 | const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group); | 
 |  | 
 | /** Gets the order of a EC_GROUP | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  order  BIGNUM to which the order is copied | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx); | 
 |  | 
 | /** Gets the cofactor of a EC_GROUP | 
 |  *  \param  group     EC_GROUP object | 
 |  *  \param  cofactor  BIGNUM to which the cofactor is copied | 
 |  *  \param  ctx       BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor, BN_CTX *ctx); | 
 |  | 
 | /** Sets the name of a EC_GROUP object | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  nid    NID of the curve name OID | 
 |  */ | 
 | void EC_GROUP_set_curve_name(EC_GROUP *group, int nid); | 
 |  | 
 | /** Returns the curve name of a EC_GROUP object | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \return NID of the curve name OID or 0 if not set. | 
 |  */ | 
 | int EC_GROUP_get_curve_name(const EC_GROUP *group); | 
 |  | 
 | void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag); | 
 | int EC_GROUP_get_asn1_flag(const EC_GROUP *group); | 
 |  | 
 | void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t); | 
 | point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *); | 
 |  | 
 | unsigned char *EC_GROUP_get0_seed(const EC_GROUP *); | 
 | size_t EC_GROUP_get_seed_len(const EC_GROUP *); | 
 | size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len); | 
 |  | 
 | /** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  p      BIGNUM with the prime number | 
 |  *  \param  a      BIGNUM with parameter a of the equation | 
 |  *  \param  b      BIGNUM with parameter b of the equation | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); | 
 |  | 
 | /** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  p      BIGNUM for the prime number | 
 |  *  \param  a      BIGNUM for parameter a of the equation | 
 |  *  \param  b      BIGNUM for parameter b of the equation | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); | 
 |  | 
 | /** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  p      BIGNUM with the polynomial defining the underlying field | 
 |  *  \param  a      BIGNUM with parameter a of the equation | 
 |  *  \param  b      BIGNUM with parameter b of the equation | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); | 
 |  | 
 | /** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  p      BIGNUM for the polynomial defining the underlying field | 
 |  *  \param  a      BIGNUM for parameter a of the equation | 
 |  *  \param  b      BIGNUM for parameter b of the equation | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx); | 
 |  | 
 | /** Returns the number of bits needed to represent a field element  | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \return number of bits needed to represent a field element | 
 |  */ | 
 | int EC_GROUP_get_degree(const EC_GROUP *group); | 
 |  | 
 | /** Checks whether the parameter in the EC_GROUP define a valid ec group | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 if group is a valid ec group and 0 otherwise | 
 |  */ | 
 | int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx); | 
 |  | 
 | /** Checks whether the discriminant of the elliptic curve is zero or not | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 if the discriminant is not zero and 0 otherwise | 
 |  */ | 
 | int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx); | 
 |  | 
 | /** Compares two EC_GROUP objects | 
 |  *  \param  a    first EC_GROUP object | 
 |  *  \param  b    second EC_GROUP object | 
 |  *  \param  ctx  BN_CTX object (optional) | 
 |  *  \return 0 if both groups are equal and 1 otherwise | 
 |  */ | 
 | int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx); | 
 |  | 
 | /* EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() | 
 |  * after choosing an appropriate EC_METHOD */ | 
 |  | 
 | /** Creates a new EC_GROUP object with the specified parameters defined | 
 |  *  over GFp (defined by the equation y^2 = x^3 + a*x + b) | 
 |  *  \param  p    BIGNUM with the prime number | 
 |  *  \param  a    BIGNUM with the parameter a of the equation | 
 |  *  \param  b    BIGNUM with the parameter b of the equation | 
 |  *  \param  ctx  BN_CTX object (optional) | 
 |  *  \return newly created EC_GROUP object with the specified parameters | 
 |  */ | 
 | EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); | 
 |  | 
 | /** Creates a new EC_GROUP object with the specified parameters defined | 
 |  *  over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b) | 
 |  *  \param  p    BIGNUM with the polynomial defining the underlying field | 
 |  *  \param  a    BIGNUM with the parameter a of the equation | 
 |  *  \param  b    BIGNUM with the parameter b of the equation | 
 |  *  \param  ctx  BN_CTX object (optional) | 
 |  *  \return newly created EC_GROUP object with the specified parameters | 
 |  */ | 
 | EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx); | 
 |  | 
 | /** Creates a EC_GROUP object with a curve specified by a NID | 
 |  *  \param  nid  NID of the OID of the curve name | 
 |  *  \return newly created EC_GROUP object with specified curve or NULL | 
 |  *          if an error occurred | 
 |  */ | 
 | EC_GROUP *EC_GROUP_new_by_curve_name(int nid); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*               handling of internal curves                        */ | 
 | /********************************************************************/ | 
 |  | 
 | typedef struct {  | 
 | 	int nid; | 
 | 	const char *comment; | 
 | 	} EC_builtin_curve; | 
 |  | 
 | /* EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number  | 
 |  * of all available curves or zero if a error occurred.  | 
 |  * In case r ist not zero nitems EC_builtin_curve structures  | 
 |  * are filled with the data of the first nitems internal groups */ | 
 | size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*                    EC_POINT functions                            */ | 
 | /********************************************************************/ | 
 |  | 
 | /** Creates a new EC_POINT object for the specified EC_GROUP | 
 |  *  \param  group  EC_GROUP the underlying EC_GROUP object | 
 |  *  \return newly created EC_POINT object or NULL if an error occurred | 
 |  */ | 
 | EC_POINT *EC_POINT_new(const EC_GROUP *group); | 
 |  | 
 | /** Frees a EC_POINT object | 
 |  *  \param  point  EC_POINT object to be freed | 
 |  */ | 
 | void EC_POINT_free(EC_POINT *point); | 
 |  | 
 | /** Clears and frees a EC_POINT object | 
 |  *  \param  point  EC_POINT object to be cleared and freed | 
 |  */ | 
 | void EC_POINT_clear_free(EC_POINT *point); | 
 |  | 
 | /** Copies EC_POINT object | 
 |  *  \param  dst  destination EC_POINT object | 
 |  *  \param  src  source EC_POINT object | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src); | 
 |  | 
 | /** Creates a new EC_POINT object and copies the content of the supplied | 
 |  *  EC_POINT | 
 |  *  \param  src    source EC_POINT object | 
 |  *  \param  group  underlying the EC_GROUP object | 
 |  *  \return newly created EC_POINT object or NULL if an error occurred  | 
 |  */ | 
 | EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group); | 
 |   | 
 | /** Returns the EC_METHOD used in EC_POINT object  | 
 |  *  \param  point  EC_POINT object | 
 |  *  \return the EC_METHOD used | 
 |  */ | 
 | const EC_METHOD *EC_POINT_method_of(const EC_POINT *point); | 
 |  | 
 | /** Sets a point to infinity (neutral element) | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  point  EC_POINT to set to infinity | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point); | 
 |  | 
 | /** Sets the jacobian projective coordinates of a EC_POINT over GFp | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM with the x-coordinate | 
 |  *  \param  y      BIGNUM with the y-coordinate | 
 |  *  \param  z      BIGNUM with the z-coordinate | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, | 
 | 	const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx); | 
 |  | 
 | /** Gets the jacobian projective coordinates of a EC_POINT over GFp | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM for the x-coordinate | 
 |  *  \param  y      BIGNUM for the y-coordinate | 
 |  *  \param  z      BIGNUM for the z-coordinate | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group, | 
 | 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx); | 
 |  | 
 | /** Sets the affine coordinates of a EC_POINT over GFp | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM with the x-coordinate | 
 |  *  \param  y      BIGNUM with the y-coordinate | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, | 
 | 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); | 
 |  | 
 | /** Gets the affine coordinates of a EC_POINT over GFp | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM for the x-coordinate | 
 |  *  \param  y      BIGNUM for the y-coordinate | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group, | 
 | 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); | 
 |  | 
 | /** Sets the x9.62 compressed coordinates of a EC_POINT over GFp | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM with x-coordinate | 
 |  *  \param  y_bit  integer with the y-Bit (either 0 or 1) | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p, | 
 | 	const BIGNUM *x, int y_bit, BN_CTX *ctx); | 
 |  | 
 | /** Sets the affine coordinates of a EC_POINT over GF2m | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM with the x-coordinate | 
 |  *  \param  y      BIGNUM with the y-coordinate | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, | 
 | 	const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx); | 
 |  | 
 | /** Gets the affine coordinates of a EC_POINT over GF2m | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM for the x-coordinate | 
 |  *  \param  y      BIGNUM for the y-coordinate | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group, | 
 | 	const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx); | 
 |  | 
 | /** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  x      BIGNUM with x-coordinate | 
 |  *  \param  y_bit  integer with the y-Bit (either 0 or 1) | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p, | 
 | 	const BIGNUM *x, int y_bit, BN_CTX *ctx); | 
 |  | 
 | /** Encodes a EC_POINT object to a octet string | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  form   point conversion form | 
 |  *  \param  buf    memory buffer for the result. If NULL the function returns | 
 |  *                 required buffer size. | 
 |  *  \param  len    length of the memory buffer | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return the length of the encoded octet string or 0 if an error occurred | 
 |  */ | 
 | size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p, | 
 | 	point_conversion_form_t form, | 
 |         unsigned char *buf, size_t len, BN_CTX *ctx); | 
 |  | 
 | /** Decodes a EC_POINT from a octet string | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \param  buf    memory buffer with the encoded ec point | 
 |  *  \param  len    length of the encoded ec point | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p, | 
 |         const unsigned char *buf, size_t len, BN_CTX *ctx); | 
 |  | 
 | /* other interfaces to point2oct/oct2point: */ | 
 | BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *, | 
 | 	point_conversion_form_t form, BIGNUM *, BN_CTX *); | 
 | EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *, | 
 | 	EC_POINT *, BN_CTX *); | 
 | char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *, | 
 | 	point_conversion_form_t form, BN_CTX *); | 
 | EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *, | 
 | 	EC_POINT *, BN_CTX *); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*         functions for doing EC_POINT arithmetic                  */ | 
 | /********************************************************************/ | 
 |  | 
 | /** Computes the sum of two EC_POINT  | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  r      EC_POINT object for the result (r = a + b) | 
 |  *  \param  a      EC_POINT object with the first summand | 
 |  *  \param  b      EC_POINT object with the second summand | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); | 
 |  | 
 | /** Computes the double of a EC_POINT | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  r      EC_POINT object for the result (r = 2 * a) | 
 |  *  \param  a      EC_POINT object  | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx); | 
 |  | 
 | /** Computes the inverse of a EC_POINT | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  a      EC_POINT object to be inverted (it's used for the result as well) | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx); | 
 |  | 
 | /** Checks whether the point is the neutral element of the group | 
 |  *  \param  group  the underlying EC_GROUP object | 
 |  *  \param  p      EC_POINT object | 
 |  *  \return 1 if the point is the neutral element and 0 otherwise | 
 |  */ | 
 | int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p); | 
 |  | 
 | /** Checks whether the point is on the curve  | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  point  EC_POINT object to check | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 if point if on the curve and 0 otherwise | 
 |  */ | 
 | int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx); | 
 |  | 
 | /** Compares two EC_POINTs  | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  a      first EC_POINT object | 
 |  *  \param  b      second EC_POINT object | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 0 if both points are equal and a value != 0 otherwise | 
 |  */ | 
 | int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx); | 
 |  | 
 | int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *); | 
 | int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *); | 
 |  | 
 | /** Computes r = generator * n sum_{i=0}^num p[i] * m[i] | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  r      EC_POINT object for the result | 
 |  *  \param  n      BIGNUM with the multiplier for the group generator (optional) | 
 |  *  \param  num    number futher summands | 
 |  *  \param  p      array of size num of EC_POINT objects | 
 |  *  \param  m      array of size num of BIGNUM objects | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | 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); | 
 |  | 
 | /** Computes r = generator * n + q * m | 
 |  *  \param  group  underlying EC_GROUP object | 
 |  *  \param  r      EC_POINT object for the result | 
 |  *  \param  n      BIGNUM with the multiplier for the group generator (optional) | 
 |  *  \param  q      EC_POINT object with the first factor of the second summand | 
 |  *  \param  m      BIGNUM with the second factor of the second summand | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx); | 
 |  | 
 | /** Stores multiples of generator for faster point multiplication | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \param  ctx    BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occured | 
 |  */ | 
 | int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx); | 
 |  | 
 | /** Reports whether a precomputation has been done | 
 |  *  \param  group  EC_GROUP object | 
 |  *  \return 1 if a pre-computation has been done and 0 otherwise | 
 |  */ | 
 | int EC_GROUP_have_precompute_mult(const EC_GROUP *group); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*                       ASN1 stuff                                 */ | 
 | /********************************************************************/ | 
 |  | 
 | /* EC_GROUP_get_basis_type() returns the NID of the basis type | 
 |  * used to represent the field elements */ | 
 | int EC_GROUP_get_basis_type(const EC_GROUP *); | 
 | int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k); | 
 | int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,  | 
 | 	unsigned int *k2, unsigned int *k3); | 
 |  | 
 | #define OPENSSL_EC_NAMED_CURVE	0x001 | 
 |  | 
 | typedef struct ecpk_parameters_st ECPKPARAMETERS; | 
 |  | 
 | EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len); | 
 | int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out); | 
 |  | 
 | #define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x) | 
 | #define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x) | 
 | #define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \ | 
 |                 (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x)) | 
 | #define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \ | 
 | 		(unsigned char *)(x)) | 
 |  | 
 | #ifndef OPENSSL_NO_BIO | 
 | int     ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off); | 
 | #endif | 
 | #ifndef OPENSSL_NO_FP_API | 
 | int     ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off); | 
 | #endif | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*                      EC_KEY functions                            */ | 
 | /********************************************************************/ | 
 |  | 
 | typedef struct ec_key_st EC_KEY; | 
 |  | 
 | /* some values for the encoding_flag */ | 
 | #define EC_PKEY_NO_PARAMETERS	0x001 | 
 | #define EC_PKEY_NO_PUBKEY	0x002 | 
 |  | 
 | /** Creates a new EC_KEY object. | 
 |  *  \return EC_KEY object or NULL if an error occurred. | 
 |  */ | 
 | EC_KEY *EC_KEY_new(void); | 
 |  | 
 | /** Creates a new EC_KEY object using a named curve as underlying | 
 |  *  EC_GROUP object. | 
 |  *  \param  nid  NID of the named curve. | 
 |  *  \return EC_KEY object or NULL if an error occurred.  | 
 |  */ | 
 | EC_KEY *EC_KEY_new_by_curve_name(int nid); | 
 |  | 
 | /** Frees a EC_KEY object. | 
 |  *  \param  key  EC_KEY object to be freed. | 
 |  */ | 
 | void EC_KEY_free(EC_KEY *key); | 
 |  | 
 | /** Copies a EC_KEY object. | 
 |  *  \param  dst  destination EC_KEY object | 
 |  *  \param  src  src EC_KEY object | 
 |  *  \return dst or NULL if an error occurred. | 
 |  */ | 
 | EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src); | 
 |  | 
 | /** Creates a new EC_KEY object and copies the content from src to it. | 
 |  *  \param  src  the source EC_KEY object | 
 |  *  \return newly created EC_KEY object or NULL if an error occurred. | 
 |  */ | 
 | EC_KEY *EC_KEY_dup(const EC_KEY *src); | 
 |  | 
 | /** Increases the internal reference count of a EC_KEY object. | 
 |  *  \param  key  EC_KEY object | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int EC_KEY_up_ref(EC_KEY *key); | 
 |  | 
 | /** Returns the EC_GROUP object of a EC_KEY object | 
 |  *  \param  key  EC_KEY object | 
 |  *  \return the EC_GROUP object (possibly NULL). | 
 |  */ | 
 | const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key); | 
 |  | 
 | /** Sets the EC_GROUP of a EC_KEY object. | 
 |  *  \param  key    EC_KEY object | 
 |  *  \param  group  EC_GROUP to use in the EC_KEY object (note: the EC_KEY | 
 |  *                 object will use an own copy of the EC_GROUP). | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group); | 
 |  | 
 | /** Returns the private key of a EC_KEY object. | 
 |  *  \param  key  EC_KEY object | 
 |  *  \return a BIGNUM with the private key (possibly NULL). | 
 |  */ | 
 | const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key); | 
 |  | 
 | /** Sets the private key of a EC_KEY object. | 
 |  *  \param  key  EC_KEY object | 
 |  *  \param  prv  BIGNUM with the private key (note: the EC_KEY object | 
 |  *               will use an own copy of the BIGNUM). | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv); | 
 |  | 
 | /** Returns the public key of a EC_KEY object. | 
 |  *  \param  key  the EC_KEY object | 
 |  *  \return a EC_POINT object with the public key (possibly NULL) | 
 |  */ | 
 | const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key); | 
 |  | 
 | /** Sets the public key of a EC_KEY object. | 
 |  *  \param  key  EC_KEY object | 
 |  *  \param  pub  EC_POINT object with the public key (note: the EC_KEY object | 
 |  *               will use an own copy of the EC_POINT object). | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub); | 
 |  | 
 | unsigned EC_KEY_get_enc_flags(const EC_KEY *key); | 
 | void EC_KEY_set_enc_flags(EC_KEY *, unsigned int); | 
 | point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *); | 
 | void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t); | 
 | /* functions to set/get method specific data  */ | 
 | void *EC_KEY_get_key_method_data(EC_KEY *,  | 
 | 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); | 
 | void EC_KEY_insert_key_method_data(EC_KEY *, void *data, | 
 | 	void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *)); | 
 | /* wrapper functions for the underlying EC_GROUP object */ | 
 | void EC_KEY_set_asn1_flag(EC_KEY *, int); | 
 |  | 
 | /** Creates a table of pre-computed multiples of the generator to  | 
 |  *  accelerate further EC_KEY operations. | 
 |  *  \param  key  EC_KEY object | 
 |  *  \param  ctx  BN_CTX object (optional) | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx); | 
 |  | 
 | /** Creates a new ec private (and optional a new public) key. | 
 |  *  \param  key  EC_KEY object | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int EC_KEY_generate_key(EC_KEY *key); | 
 |  | 
 | /** Verifies that a private and/or public key is valid. | 
 |  *  \param  key  the EC_KEY object | 
 |  *  \return 1 on success and 0 otherwise. | 
 |  */ | 
 | int EC_KEY_check_key(const EC_KEY *key); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*        de- and encoding functions for SEC1 ECPrivateKey          */ | 
 | /********************************************************************/ | 
 |  | 
 | /** Decodes a private key from a memory buffer. | 
 |  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL) | 
 |  *  \param  in   pointer to memory with the DER encoded private key | 
 |  *  \param  len  length of the DER encoded private key | 
 |  *  \return the decoded private key or NULL if an error occurred. | 
 |  */ | 
 | EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len); | 
 |  | 
 | /** Encodes a private key object and stores the result in a buffer. | 
 |  *  \param  key  the EC_KEY object to encode | 
 |  *  \param  out  the buffer for the result (if NULL the function returns number | 
 |  *               of bytes needed). | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*        de- and encoding functions for EC parameters              */ | 
 | /********************************************************************/ | 
 |  | 
 | /** Decodes ec parameter from a memory buffer. | 
 |  *  \param  key  a pointer to a EC_KEY object which should be used (or NULL) | 
 |  *  \param  in   pointer to memory with the DER encoded ec parameters | 
 |  *  \param  len  length of the DER encoded ec parameters | 
 |  *  \return a EC_KEY object with the decoded parameters or NULL if an error | 
 |  *          occurred. | 
 |  */ | 
 | EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len); | 
 |  | 
 | /** Encodes ec parameter and stores the result in a buffer. | 
 |  *  \param  key  the EC_KEY object with ec paramters to encode | 
 |  *  \param  out  the buffer for the result (if NULL the function returns number | 
 |  *               of bytes needed). | 
 |  *  \return 1 on success and 0 if an error occurred. | 
 |  */ | 
 | int i2d_ECParameters(EC_KEY *key, unsigned char **out); | 
 |  | 
 |  | 
 | /********************************************************************/ | 
 | /*         de- and encoding functions for EC public key             */ | 
 | /*         (octet string, not DER -- hence 'o2i' and 'i2o')         */ | 
 | /********************************************************************/ | 
 |  | 
 | /** Decodes a ec public key from a octet string. | 
 |  *  \param  key  a pointer to a EC_KEY object which should be used | 
 |  *  \param  in   memory buffer with the encoded public key | 
 |  *  \param  len  length of the encoded public key | 
 |  *  \return EC_KEY object with decoded public key or NULL if an error | 
 |  *          occurred. | 
 |  */ | 
 | EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len); | 
 |  | 
 | /** Encodes a ec public key in an octet string. | 
 |  *  \param  key  the EC_KEY object with the public key | 
 |  *  \param  out  the buffer for the result (if NULL the function returns number | 
 |  *               of bytes needed). | 
 |  *  \return 1 on success and 0 if an error occurred | 
 |  */ | 
 | int i2o_ECPublicKey(EC_KEY *key, unsigned char **out); | 
 |  | 
 | #ifndef OPENSSL_NO_BIO | 
 | /** Prints out the ec parameters on human readable form. | 
 |  *  \param  bp   BIO object to which the information is printed | 
 |  *  \param  key  EC_KEY object | 
 |  *  \return 1 on success and 0 if an error occurred | 
 |  */ | 
 | int	ECParameters_print(BIO *bp, const EC_KEY *key); | 
 |  | 
 | /** Prints out the contents of a EC_KEY object | 
 |  *  \param  bp   BIO object to which the information is printed | 
 |  *  \param  key  EC_KEY object | 
 |  *  \param  off  line offset  | 
 |  *  \return 1 on success and 0 if an error occurred | 
 |  */ | 
 | int	EC_KEY_print(BIO *bp, const EC_KEY *key, int off); | 
 |  | 
 | #endif | 
 | #ifndef OPENSSL_NO_FP_API | 
 | /** Prints out the ec parameters on human readable form. | 
 |  *  \param  fp   file descriptor to which the information is printed | 
 |  *  \param  key  EC_KEY object | 
 |  *  \return 1 on success and 0 if an error occurred | 
 |  */ | 
 | int	ECParameters_print_fp(FILE *fp, const EC_KEY *key); | 
 |  | 
 | /** Prints out the contents of a EC_KEY object | 
 |  *  \param  fp   file descriptor to which the information is printed | 
 |  *  \param  key  EC_KEY object | 
 |  *  \param  off  line offset  | 
 |  *  \return 1 on success and 0 if an error occurred | 
 |  */ | 
 | int	EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off); | 
 |  | 
 | #endif | 
 |  | 
 | #define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x) | 
 |  | 
 | #ifndef __cplusplus | 
 | #if defined(__SUNPRO_C) | 
 | #  if __SUNPRO_C >= 0x520 | 
 | # pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE) | 
 | #  endif | 
 | # endif | 
 | #endif | 
 |  | 
 | /* BEGIN ERROR CODES */ | 
 | /* The following lines are auto generated by the script mkerr.pl. Any changes | 
 |  * made after this point may be overwritten when the script is next run. | 
 |  */ | 
 | void ERR_load_EC_strings(void); | 
 |  | 
 | /* Error codes for the EC functions. */ | 
 |  | 
 | /* Function codes. */ | 
 | #define EC_F_COMPUTE_WNAF				 143 | 
 | #define EC_F_D2I_ECPARAMETERS				 144 | 
 | #define EC_F_D2I_ECPKPARAMETERS				 145 | 
 | #define EC_F_D2I_ECPRIVATEKEY				 146 | 
 | #define EC_F_ECPARAMETERS_PRINT				 147 | 
 | #define EC_F_ECPARAMETERS_PRINT_FP			 148 | 
 | #define EC_F_ECPKPARAMETERS_PRINT			 149 | 
 | #define EC_F_ECPKPARAMETERS_PRINT_FP			 150 | 
 | #define EC_F_ECP_NIST_MOD_192				 203 | 
 | #define EC_F_ECP_NIST_MOD_224				 204 | 
 | #define EC_F_ECP_NIST_MOD_256				 205 | 
 | #define EC_F_ECP_NIST_MOD_521				 206 | 
 | #define EC_F_EC_ASN1_GROUP2CURVE			 153 | 
 | #define EC_F_EC_ASN1_GROUP2FIELDID			 154 | 
 | #define EC_F_EC_ASN1_GROUP2PARAMETERS			 155 | 
 | #define EC_F_EC_ASN1_GROUP2PKPARAMETERS			 156 | 
 | #define EC_F_EC_ASN1_PARAMETERS2GROUP			 157 | 
 | #define EC_F_EC_ASN1_PKPARAMETERS2GROUP			 158 | 
 | #define EC_F_EC_EX_DATA_SET_DATA			 211 | 
 | #define EC_F_EC_GF2M_MONTGOMERY_POINT_MULTIPLY		 208 | 
 | #define EC_F_EC_GF2M_SIMPLE_GROUP_CHECK_DISCRIMINANT	 159 | 
 | #define EC_F_EC_GF2M_SIMPLE_GROUP_SET_CURVE		 195 | 
 | #define EC_F_EC_GF2M_SIMPLE_OCT2POINT			 160 | 
 | #define EC_F_EC_GF2M_SIMPLE_POINT2OCT			 161 | 
 | #define EC_F_EC_GF2M_SIMPLE_POINT_GET_AFFINE_COORDINATES 162 | 
 | #define EC_F_EC_GF2M_SIMPLE_POINT_SET_AFFINE_COORDINATES 163 | 
 | #define EC_F_EC_GF2M_SIMPLE_SET_COMPRESSED_COORDINATES	 164 | 
 | #define EC_F_EC_GFP_MONT_FIELD_DECODE			 133 | 
 | #define EC_F_EC_GFP_MONT_FIELD_ENCODE			 134 | 
 | #define EC_F_EC_GFP_MONT_FIELD_MUL			 131 | 
 | #define EC_F_EC_GFP_MONT_FIELD_SET_TO_ONE		 209 | 
 | #define EC_F_EC_GFP_MONT_FIELD_SQR			 132 | 
 | #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE		 189 | 
 | #define EC_F_EC_GFP_MONT_GROUP_SET_CURVE_GFP		 135 | 
 | #define EC_F_EC_GFP_NIST_FIELD_MUL			 200 | 
 | #define EC_F_EC_GFP_NIST_FIELD_SQR			 201 | 
 | #define EC_F_EC_GFP_NIST_GROUP_SET_CURVE		 202 | 
 | #define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT	 165 | 
 | #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE		 166 | 
 | #define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP		 100 | 
 | #define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR		 101 | 
 | #define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE			 102 | 
 | #define EC_F_EC_GFP_SIMPLE_OCT2POINT			 103 | 
 | #define EC_F_EC_GFP_SIMPLE_POINT2OCT			 104 | 
 | #define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE		 137 | 
 | #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES	 167 | 
 | #define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105 | 
 | #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES	 168 | 
 | #define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128 | 
 | #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES	 169 | 
 | #define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129 | 
 | #define EC_F_EC_GROUP_CHECK				 170 | 
 | #define EC_F_EC_GROUP_CHECK_DISCRIMINANT		 171 | 
 | #define EC_F_EC_GROUP_COPY				 106 | 
 | #define EC_F_EC_GROUP_GET0_GENERATOR			 139 | 
 | #define EC_F_EC_GROUP_GET_COFACTOR			 140 | 
 | #define EC_F_EC_GROUP_GET_CURVE_GF2M			 172 | 
 | #define EC_F_EC_GROUP_GET_CURVE_GFP			 130 | 
 | #define EC_F_EC_GROUP_GET_DEGREE			 173 | 
 | #define EC_F_EC_GROUP_GET_ORDER				 141 | 
 | #define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS		 193 | 
 | #define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS		 194 | 
 | #define EC_F_EC_GROUP_NEW				 108 | 
 | #define EC_F_EC_GROUP_NEW_BY_CURVE_NAME			 174 | 
 | #define EC_F_EC_GROUP_NEW_FROM_DATA			 175 | 
 | #define EC_F_EC_GROUP_PRECOMPUTE_MULT			 142 | 
 | #define EC_F_EC_GROUP_SET_CURVE_GF2M			 176 | 
 | #define EC_F_EC_GROUP_SET_CURVE_GFP			 109 | 
 | #define EC_F_EC_GROUP_SET_EXTRA_DATA			 110 | 
 | #define EC_F_EC_GROUP_SET_GENERATOR			 111 | 
 | #define EC_F_EC_KEY_CHECK_KEY				 177 | 
 | #define EC_F_EC_KEY_COPY				 178 | 
 | #define EC_F_EC_KEY_GENERATE_KEY			 179 | 
 | #define EC_F_EC_KEY_NEW					 182 | 
 | #define EC_F_EC_KEY_PRINT				 180 | 
 | #define EC_F_EC_KEY_PRINT_FP				 181 | 
 | #define EC_F_EC_POINTS_MAKE_AFFINE			 136 | 
 | #define EC_F_EC_POINTS_MUL				 138 | 
 | #define EC_F_EC_POINT_ADD				 112 | 
 | #define EC_F_EC_POINT_CMP				 113 | 
 | #define EC_F_EC_POINT_COPY				 114 | 
 | #define EC_F_EC_POINT_DBL				 115 | 
 | #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M	 183 | 
 | #define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP	 116 | 
 | #define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP	 117 | 
 | #define EC_F_EC_POINT_INVERT				 210 | 
 | #define EC_F_EC_POINT_IS_AT_INFINITY			 118 | 
 | #define EC_F_EC_POINT_IS_ON_CURVE			 119 | 
 | #define EC_F_EC_POINT_MAKE_AFFINE			 120 | 
 | #define EC_F_EC_POINT_MUL				 184 | 
 | #define EC_F_EC_POINT_NEW				 121 | 
 | #define EC_F_EC_POINT_OCT2POINT				 122 | 
 | #define EC_F_EC_POINT_POINT2OCT				 123 | 
 | #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M	 185 | 
 | #define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP	 124 | 
 | #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M	 186 | 
 | #define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP	 125 | 
 | #define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP	 126 | 
 | #define EC_F_EC_POINT_SET_TO_INFINITY			 127 | 
 | #define EC_F_EC_PRE_COMP_DUP				 207 | 
 | #define EC_F_EC_WNAF_MUL				 187 | 
 | #define EC_F_EC_WNAF_PRECOMPUTE_MULT			 188 | 
 | #define EC_F_I2D_ECPARAMETERS				 190 | 
 | #define EC_F_I2D_ECPKPARAMETERS				 191 | 
 | #define EC_F_I2D_ECPRIVATEKEY				 192 | 
 | #define EC_F_I2O_ECPUBLICKEY				 151 | 
 | #define EC_F_O2I_ECPUBLICKEY				 152 | 
 |  | 
 | /* Reason codes. */ | 
 | #define EC_R_ASN1_ERROR					 115 | 
 | #define EC_R_ASN1_UNKNOWN_FIELD				 116 | 
 | #define EC_R_BUFFER_TOO_SMALL				 100 | 
 | #define EC_R_D2I_ECPKPARAMETERS_FAILURE			 117 | 
 | #define EC_R_DISCRIMINANT_IS_ZERO			 118 | 
 | #define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE		 119 | 
 | #define EC_R_GROUP2PKPARAMETERS_FAILURE			 120 | 
 | #define EC_R_I2D_ECPKPARAMETERS_FAILURE			 121 | 
 | #define EC_R_INCOMPATIBLE_OBJECTS			 101 | 
 | #define EC_R_INVALID_ARGUMENT				 112 | 
 | #define EC_R_INVALID_COMPRESSED_POINT			 110 | 
 | #define EC_R_INVALID_COMPRESSION_BIT			 109 | 
 | #define EC_R_INVALID_ENCODING				 102 | 
 | #define EC_R_INVALID_FIELD				 103 | 
 | #define EC_R_INVALID_FORM				 104 | 
 | #define EC_R_INVALID_GROUP_ORDER			 122 | 
 | #define EC_R_INVALID_PRIVATE_KEY			 123 | 
 | #define EC_R_MISSING_PARAMETERS				 124 | 
 | #define EC_R_MISSING_PRIVATE_KEY			 125 | 
 | #define EC_R_NOT_A_NIST_PRIME				 135 | 
 | #define EC_R_NOT_A_SUPPORTED_NIST_PRIME			 136 | 
 | #define EC_R_NOT_IMPLEMENTED				 126 | 
 | #define EC_R_NOT_INITIALIZED				 111 | 
 | #define EC_R_NO_FIELD_MOD				 133 | 
 | #define EC_R_PASSED_NULL_PARAMETER			 134 | 
 | #define EC_R_PKPARAMETERS2GROUP_FAILURE			 127 | 
 | #define EC_R_POINT_AT_INFINITY				 106 | 
 | #define EC_R_POINT_IS_NOT_ON_CURVE			 107 | 
 | #define EC_R_SLOT_FULL					 108 | 
 | #define EC_R_UNDEFINED_GENERATOR			 113 | 
 | #define EC_R_UNDEFINED_ORDER				 128 | 
 | #define EC_R_UNKNOWN_GROUP				 129 | 
 | #define EC_R_UNKNOWN_ORDER				 114 | 
 | #define EC_R_UNSUPPORTED_FIELD				 131 | 
 | #define EC_R_WRONG_ORDER				 130 | 
 |  | 
 | #ifdef  __cplusplus | 
 | } | 
 | #endif | 
 | #endif |