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1222 1223 1224 1225 1226 1227 1228 1229 1230 1231 1232 1233 1234 1235 1236 1237 1238 1239 1240 1241 1242 1243 1244 1245 1246 1247 1248 1249 1250 1251 1252 1253 1254 1255 1256 1257 1258 1259 1260 1261 1262 1263 1264 1265 1266 1267 1268 1269 1270 1271 1272 1273 1274 1275 1276 1277 1278 1279 1280 1281 1282 | /* 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
# ifndef OPENSSL_ECC_MAX_FIELD_BITS
# define OPENSSL_ECC_MAX_FIELD_BITS 661
# 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 0x04 */
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);
# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
/** Returns 64-bit optimized methods for nistp224
* \return EC_METHOD object
*/
const EC_METHOD *EC_GFp_nistp224_method(void);
/** Returns 64-bit optimized methods for nistp256
* \return EC_METHOD object
*/
const EC_METHOD *EC_GFp_nistp256_method(void);
/** Returns 64-bit optimized methods for nistp521
* \return EC_METHOD object
*/
const EC_METHOD *EC_GFp_nistp521_method(void);
# endif
# ifndef OPENSSL_NO_EC2M
/********************************************************************/
/* 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);
# endif
/********************************************************************/
/* 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);
/** Returns the montgomery data for order(Generator)
* \param group EC_GROUP object
* \return the currently used generator (possibly NULL).
*/
BN_MONT_CTX *EC_GROUP_get_mont_data(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 *group,
point_conversion_form_t form);
point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
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);
# ifndef OPENSSL_NO_EC2M
/** 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);
# endif
/** 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);
# ifndef OPENSSL_NO_EC2M
/** 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);
# endif
/** 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);
const char *EC_curve_nid2nist(int nid);
int EC_curve_nist2nid(const char *name);
/********************************************************************/
/* 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);
# ifndef OPENSSL_NO_EC2M
/** 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);
# endif
/** 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 *group, EC_POINT *point, BN_CTX *ctx);
int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
EC_POINT *points[], BN_CTX *ctx);
/** Computes r = generator * n sum_{i=0}^{num-1} 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 *);
# ifndef OPENSSL_NO_EC2M
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);
# endif
# 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
/* some values for the flags field */
# define EC_FLAG_NON_FIPS_ALLOW 0x1
# define EC_FLAG_FIPS_CHECKED 0x2
/** Creates a new EC_KEY object.
* \return EC_KEY object or NULL if an error occurred.
*/
EC_KEY *EC_KEY_new(void);
int EC_KEY_get_flags(const EC_KEY *key);
void EC_KEY_set_flags(EC_KEY *key, int flags);
void EC_KEY_clear_flags(EC_KEY *key, int flags);
/** 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 *eckey, unsigned int flags);
point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
/* functions to set/get method specific data */
void *EC_KEY_get_key_method_data(EC_KEY *key,
void *(*dup_func) (void *),
void (*free_func) (void *),
void (*clear_free_func) (void *));
/** Sets the key method data of an EC_KEY object, if none has yet been set.
* \param key EC_KEY object
* \param data opaque data to install.
* \param dup_func a function that duplicates |data|.
* \param free_func a function that frees |data|.
* \param clear_free_func a function that wipes and frees |data|.
* \return the previously set data pointer, or NULL if |data| was inserted.
*/
void *EC_KEY_insert_key_method_data(EC_KEY *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 *eckey, int asn1_flag);
/** 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);
/** Sets a public key from affine coordindates performing
* neccessary NIST PKV tests.
* \param key the EC_KEY object
* \param x public key x coordinate
* \param y public key y coordinate
* \return 1 on success and 0 otherwise.
*/
int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x,
BIGNUM *y);
/********************************************************************/
/* 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
# define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
# define EVP_PKEY_CTX_set_ec_param_enc(ctx, flag) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_PARAMGEN|EVP_PKEY_OP_KEYGEN, \
EVP_PKEY_CTRL_EC_PARAM_ENC, flag, NULL)
# define EVP_PKEY_CTX_set_ecdh_cofactor_mode(ctx, flag) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_EC_ECDH_COFACTOR, flag, NULL)
# define EVP_PKEY_CTX_get_ecdh_cofactor_mode(ctx) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_EC_ECDH_COFACTOR, -2, NULL)
# define EVP_PKEY_CTX_set_ecdh_kdf_type(ctx, kdf) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_EC_KDF_TYPE, kdf, NULL)
# define EVP_PKEY_CTX_get_ecdh_kdf_type(ctx) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_EC_KDF_TYPE, -2, NULL)
# define EVP_PKEY_CTX_set_ecdh_kdf_md(ctx, md) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_EC_KDF_MD, 0, (void *)md)
# define EVP_PKEY_CTX_get_ecdh_kdf_md(ctx, pmd) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_GET_EC_KDF_MD, 0, (void *)pmd)
# define EVP_PKEY_CTX_set_ecdh_kdf_outlen(ctx, len) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_EC_KDF_OUTLEN, len, NULL)
# define EVP_PKEY_CTX_get_ecdh_kdf_outlen(ctx, plen) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN, 0, (void *)plen)
# define EVP_PKEY_CTX_set0_ecdh_kdf_ukm(ctx, p, plen) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_EC_KDF_UKM, plen, (void *)p)
# define EVP_PKEY_CTX_get0_ecdh_kdf_ukm(ctx, p) \
EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, \
EVP_PKEY_OP_DERIVE, \
EVP_PKEY_CTRL_GET_EC_KDF_UKM, 0, (void *)p)
# define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
# define EVP_PKEY_CTRL_EC_PARAM_ENC (EVP_PKEY_ALG_CTRL + 2)
# define EVP_PKEY_CTRL_EC_ECDH_COFACTOR (EVP_PKEY_ALG_CTRL + 3)
# define EVP_PKEY_CTRL_EC_KDF_TYPE (EVP_PKEY_ALG_CTRL + 4)
# define EVP_PKEY_CTRL_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 5)
# define EVP_PKEY_CTRL_GET_EC_KDF_MD (EVP_PKEY_ALG_CTRL + 6)
# define EVP_PKEY_CTRL_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 7)
# define EVP_PKEY_CTRL_GET_EC_KDF_OUTLEN (EVP_PKEY_ALG_CTRL + 8)
# define EVP_PKEY_CTRL_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 9)
# define EVP_PKEY_CTRL_GET_EC_KDF_UKM (EVP_PKEY_ALG_CTRL + 10)
/* KDF types */
# define EVP_PKEY_ECDH_KDF_NONE 1
# define EVP_PKEY_ECDH_KDF_X9_62 2
/* 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_BN_TO_FELEM 224
# 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_DO_EC_KEY_PRINT 221
# define EC_F_ECDH_CMS_DECRYPT 238
# define EC_F_ECDH_CMS_SET_SHARED_INFO 239
# define EC_F_ECKEY_PARAM2TYPE 223
# define EC_F_ECKEY_PARAM_DECODE 212
# define EC_F_ECKEY_PRIV_DECODE 213
# define EC_F_ECKEY_PRIV_ENCODE 214
# define EC_F_ECKEY_PUB_DECODE 215
# define EC_F_ECKEY_PUB_ENCODE 216
# define EC_F_ECKEY_TYPE2PARAM 220
# 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_NISTZ256_GET_AFFINE 240
# define EC_F_ECP_NISTZ256_MULT_PRECOMPUTE 243
# define EC_F_ECP_NISTZ256_POINTS_MUL 241
# define EC_F_ECP_NISTZ256_PRE_COMP_NEW 244
# define EC_F_ECP_NISTZ256_SET_WORDS 245
# define EC_F_ECP_NISTZ256_WINDOWED_MUL 242
# 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_NISTP224_GROUP_SET_CURVE 225
# define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
# define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
# define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
# define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
# define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
# define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
# define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
# define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
# 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_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
# define EC_F_EC_POINTS_MAKE_AFFINE 136
# 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_PRE_COMP_NEW 196
# 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_NISTP224_PRE_COMP_NEW 227
# define EC_F_NISTP256_PRE_COMP_NEW 236
# define EC_F_NISTP521_PRE_COMP_NEW 237
# define EC_F_O2I_ECPUBLICKEY 152
# define EC_F_OLD_EC_PRIV_DECODE 222
# define EC_F_PKEY_EC_CTRL 197
# define EC_F_PKEY_EC_CTRL_STR 198
# define EC_F_PKEY_EC_DERIVE 217
# define EC_F_PKEY_EC_KEYGEN 199
# define EC_F_PKEY_EC_PARAMGEN 219
# define EC_F_PKEY_EC_SIGN 218
/* Reason codes. */
# define EC_R_ASN1_ERROR 115
# define EC_R_ASN1_UNKNOWN_FIELD 116
# define EC_R_BIGNUM_OUT_OF_RANGE 144
# define EC_R_BUFFER_TOO_SMALL 100
# define EC_R_COORDINATES_OUT_OF_RANGE 146
# define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
# define EC_R_DECODE_ERROR 142
# define EC_R_DISCRIMINANT_IS_ZERO 118
# define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
# define EC_R_FIELD_TOO_LARGE 143
# define EC_R_GF2M_NOT_SUPPORTED 147
# 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_CURVE 141
# define EC_R_INVALID_DIGEST 151
# define EC_R_INVALID_DIGEST_TYPE 138
# 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_PENTANOMIAL_BASIS 132
# define EC_R_INVALID_PRIVATE_KEY 123
# define EC_R_INVALID_TRINOMIAL_BASIS 137
# define EC_R_KDF_PARAMETER_ERROR 148
# define EC_R_KEYS_NOT_SET 140
# 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_NO_PARAMETERS_SET 139
# define EC_R_PASSED_NULL_PARAMETER 134
# define EC_R_PEER_KEY_ERROR 149
# 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_SHARED_INFO_ERROR 150
# 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_CURVE_PARAMETERS 145
# define EC_R_WRONG_ORDER 130
#ifdef __cplusplus
}
#endif
#endif
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