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Diffstat (limited to 'openssl/crypto/ec/ec.h')
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diff --git a/openssl/crypto/ec/ec.h b/openssl/crypto/ec/ec.h new file mode 100644 index 00000000..ee707813 --- /dev/null +++ b/openssl/crypto/ec/ec.h @@ -0,0 +1,1100 @@ +/* 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 |