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/* 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 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
#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_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL)
#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 1)
/* 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_DO_EC_KEY_PRINT 221
#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_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_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_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_BUFFER_TOO_SMALL 100
#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_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_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_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_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
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