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+/*
+ * Copyright 2002-2016 The OpenSSL Project Authors. All Rights Reserved.
+ *
+ * Licensed under the OpenSSL license (the "License"). You may not use
+ * this file except in compliance with the License. You can obtain a copy
+ * in the file LICENSE in the source distribution or at
+ * https://www.openssl.org/source/license.html
+ */
+
+/* ====================================================================
+ * 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>
+
+# ifndef OPENSSL_NO_EC
+# include <openssl/asn1.h>
+# include <openssl/symhacks.h>
+# if OPENSSL_API_COMPAT < 0x10100000L
+# include <openssl/bn.h>
+# endif
+# ifdef __cplusplus
+extern "C" {
+# 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_GROUP;
+typedef struct ec_point_st EC_POINT;
+typedef struct ecpk_parameters_st ECPKPARAMETERS;
+typedef struct ec_parameters_st ECPARAMETERS;
+
+/********************************************************************/
+/* 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 occurred
+ */
+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 montgomery data (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 unused
+ * \return 1 on success and 0 if an error occurred
+ */
+int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
+
+/** Gets the order of an EC_GROUP
+ * \param group EC_GROUP object
+ * \return the group order
+ */
+const BIGNUM *EC_GROUP_get0_order(const EC_GROUP *group);
+
+/** Gets the number of bits of the order of an EC_GROUP
+ * \param group EC_GROUP object
+ * \return number of bits of group order.
+ */
+int EC_GROUP_order_bits(const EC_GROUP *group);
+
+/** Gets the cofactor of a EC_GROUP
+ * \param group EC_GROUP object
+ * \param cofactor BIGNUM to which the cofactor is copied
+ * \param ctx unused
+ * \return 1 on success and 0 if an error occurred
+ */
+int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
+ BN_CTX *ctx);
+
+/** Gets the cofactor of an EC_GROUP
+ * \param group EC_GROUP object
+ * \return the group cofactor
+ */
+const BIGNUM *EC_GROUP_get0_cofactor(const EC_GROUP *group);
+
+/** 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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 the groups are equal, 1 if not, or -1 on error
+ */
+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);
+
+/** Creates a new EC_GROUP object from an ECPARAMETERS object
+ * \param params pointer to the ECPARAMETERS object
+ * \return newly created EC_GROUP object with specified curve or NULL
+ * if an error occurred
+ */
+EC_GROUP *EC_GROUP_new_from_ecparameters(const ECPARAMETERS *params);
+
+/** Creates an ECPARAMETERS object for the the given EC_GROUP object.
+ * \param group pointer to the EC_GROUP object
+ * \param params pointer to an existing ECPARAMETERS object or NULL
+ * \return pointer to the new ECPARAMETERS object or NULL
+ * if an error occurred.
+ */
+ECPARAMETERS *EC_GROUP_get_ecparameters(const EC_GROUP *group,
+ ECPARAMETERS *params);
+
+/** Creates a new EC_GROUP object from an ECPKPARAMETERS object
+ * \param params pointer to an existing ECPKPARAMETERS object, or NULL
+ * \return newly created EC_GROUP object with specified curve, or NULL
+ * if an error occurred
+ */
+EC_GROUP *EC_GROUP_new_from_ecpkparameters(const ECPKPARAMETERS *params);
+
+/** Creates an ECPKPARAMETERS object for the the given EC_GROUP object.
+ * \param group pointer to the EC_GROUP object
+ * \param params pointer to an existing ECPKPARAMETERS object or NULL
+ * \return pointer to the new ECPKPARAMETERS object or NULL
+ * if an error occurred.
+ */
+ECPKPARAMETERS *EC_GROUP_get_ecpkparameters(const EC_GROUP *group,
+ ECPKPARAMETERS *params);
+
+/********************************************************************/
+/* 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 is 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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
+ const unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/** Encodes an EC_POINT object to an allocated octet string
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT object
+ * \param form point conversion form
+ * \param pbuf returns pointer to allocated 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_point2buf(const EC_GROUP *group, const EC_POINT *point,
+ point_conversion_form_t form,
+ unsigned char **pbuf, 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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 the point is on the curve, 0 if not, or -1 on error
+ */
+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 1 if the points are not equal, 0 if they are, or -1 on error
+ */
+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 further 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 occurred
+ */
+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 occurred
+ */
+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 occurred
+ */
+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 */
+/********************************************************************/
+
+DECLARE_ASN1_ITEM(ECPKPARAMETERS)
+DECLARE_ASN1_ALLOC_FUNCTIONS(ECPKPARAMETERS)
+DECLARE_ASN1_ITEM(ECPARAMETERS)
+DECLARE_ASN1_ALLOC_FUNCTIONS(ECPARAMETERS)
+
+/*
+ * 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_EXPLICIT_CURVE 0x000
+# define OPENSSL_EC_NAMED_CURVE 0x001
+
+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))
+
+int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
+# ifndef OPENSSL_NO_STDIO
+int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
+# endif
+
+/********************************************************************/
+/* EC_KEY functions */
+/********************************************************************/
+
+/* 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
+# define EC_FLAG_COFACTOR_ECDH 0x1000
+
+/** 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);
+
+#define EC_KEY_get_ex_new_index(l, p, newf, dupf, freef) \
+ CRYPTO_get_ex_new_index(CRYPTO_EX_INDEX_EC_KEY, l, p, newf, dupf, freef)
+int EC_KEY_set_ex_data(EC_KEY *key, int idx, void *arg);
+void *EC_KEY_get_ex_data(const EC_KEY *key, int idx);
+
+/* 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);
+
+/** Indicates if an EC_KEY can be used for signing.
+ * \param eckey the EC_KEY object
+ * \return 1 if can can sign and 0 otherwise.
+ */
+int EC_KEY_can_sign(const EC_KEY *eckey);
+
+/** Sets a public key from affine coordinates performing
+ * necessary 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);
+
+/** Encodes an EC_KEY public key to an allocated octet string
+ * \param key key to encode
+ * \param form point conversion form
+ * \param pbuf returns pointer to allocated buffer
+ * \param ctx BN_CTX object (optional)
+ * \return the length of the encoded octet string or 0 if an error occurred
+ */
+size_t EC_KEY_key2buf(const EC_KEY *key, point_conversion_form_t form,
+ unsigned char **pbuf, BN_CTX *ctx);
+
+/** Decodes a EC_KEY public key from a octet string
+ * \param key key to decode
+ * \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 occurred
+ */
+
+int EC_KEY_oct2key(EC_KEY *key, const unsigned char *buf, size_t len,
+ BN_CTX *ctx);
+
+/** Decodes an EC_KEY private key from an octet string
+ * \param key key to decode
+ * \param buf memory buffer with the encoded private key
+ * \param len length of the encoded key
+ * \return 1 on success and 0 if an error occurred
+ */
+
+int EC_KEY_oct2priv(EC_KEY *key, const unsigned char *buf, size_t len);
+
+/** Encodes a EC_KEY private key to an octet string
+ * \param key key to encode
+ * \param buf memory buffer for the result. If NULL the function returns
+ * required buffer size.
+ * \param len length of the memory buffer
+ * \return the length of the encoded octet string or 0 if an error occurred
+ */
+
+size_t EC_KEY_priv2oct(const EC_KEY *key, unsigned char *buf, size_t len);
+
+/** Encodes an EC_KEY private key to an allocated octet string
+ * \param eckey key to encode
+ * \param pbuf returns pointer to allocated buffer
+ * \return the length of the encoded octet string or 0 if an error occurred
+ */
+size_t EC_KEY_priv2buf(const EC_KEY *eckey, unsigned char **pbuf);
+
+/********************************************************************/
+/* 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 parameters 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(const EC_KEY *key, unsigned char **out);
+
+/** 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);
+
+# ifndef OPENSSL_NO_STDIO
+/** 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
+
+const EC_KEY_METHOD *EC_KEY_OpenSSL(void);
+const EC_KEY_METHOD *EC_KEY_get_default_method(void);
+void EC_KEY_set_default_method(const EC_KEY_METHOD *meth);
+const EC_KEY_METHOD *EC_KEY_get_method(const EC_KEY *key);
+int EC_KEY_set_method(EC_KEY *key, const EC_KEY_METHOD *meth);
+EC_KEY *EC_KEY_new_method(ENGINE *engine);
+
+int ECDH_KDF_X9_62(unsigned char *out, size_t outlen,
+ const unsigned char *Z, size_t Zlen,
+ const unsigned char *sinfo, size_t sinfolen,
+ const EVP_MD *md);
+
+int ECDH_compute_key(void *out, size_t outlen, const EC_POINT *pub_key,
+ const EC_KEY *ecdh,
+ void *(*KDF) (const void *in, size_t inlen,
+ void *out, size_t *outlen));
+
+typedef struct ECDSA_SIG_st ECDSA_SIG;
+
+/** Allocates and initialize a ECDSA_SIG structure
+ * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
+ */
+ECDSA_SIG *ECDSA_SIG_new(void);
+
+/** frees a ECDSA_SIG structure
+ * \param sig pointer to the ECDSA_SIG structure
+ */
+void ECDSA_SIG_free(ECDSA_SIG *sig);
+
+/** DER encode content of ECDSA_SIG object (note: this function modifies *pp
+ * (*pp += length of the DER encoded signature)).
+ * \param sig pointer to the ECDSA_SIG object
+ * \param pp pointer to a unsigned char pointer for the output or NULL
+ * \return the length of the DER encoded ECDSA_SIG object or 0
+ */
+int i2d_ECDSA_SIG(const ECDSA_SIG *sig, unsigned char **pp);
+
+/** Decodes a DER encoded ECDSA signature (note: this function changes *pp
+ * (*pp += len)).
+ * \param sig pointer to ECDSA_SIG pointer (may be NULL)
+ * \param pp memory buffer with the DER encoded signature
+ * \param len length of the buffer
+ * \return pointer to the decoded ECDSA_SIG structure (or NULL)
+ */
+ECDSA_SIG *d2i_ECDSA_SIG(ECDSA_SIG **sig, const unsigned char **pp, long len);
+
+/** Accessor for r and s fields of ECDSA_SIG
+ * \param sig pointer to ECDSA_SIG pointer
+ * \param pr pointer to BIGNUM pointer for r (may be NULL)
+ * \param ps pointer to BIGNUM pointer for s (may be NULL)
+ */
+void ECDSA_SIG_get0(const ECDSA_SIG *sig, const BIGNUM **pr, const BIGNUM **ps);
+
+/** Setter for r and s fields of ECDSA_SIG
+ * \param sig pointer to ECDSA_SIG pointer
+ * \param r pointer to BIGNUM for r (may be NULL)
+ * \param s pointer to BIGNUM for s (may be NULL)
+ */
+int ECDSA_SIG_set0(ECDSA_SIG *sig, BIGNUM *r, BIGNUM *s);
+
+/** Computes the ECDSA signature of the given hash value using
+ * the supplied private key and returns the created signature.
+ * \param dgst pointer to the hash value
+ * \param dgst_len length of the hash value
+ * \param eckey EC_KEY object containing a private EC key
+ * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
+ */
+ECDSA_SIG *ECDSA_do_sign(const unsigned char *dgst, int dgst_len,
+ EC_KEY *eckey);
+
+/** Computes ECDSA signature of a given hash value using the supplied
+ * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
+ * \param dgst pointer to the hash value to sign
+ * \param dgstlen length of the hash value
+ * \param kinv BIGNUM with a pre-computed inverse k (optional)
+ * \param rp BIGNUM with a pre-computed rp value (optional),
+ * see ECDSA_sign_setup
+ * \param eckey EC_KEY object containing a private EC key
+ * \return pointer to a ECDSA_SIG structure or NULL if an error occurred
+ */
+ECDSA_SIG *ECDSA_do_sign_ex(const unsigned char *dgst, int dgstlen,
+ const BIGNUM *kinv, const BIGNUM *rp,
+ EC_KEY *eckey);
+
+/** Verifies that the supplied signature is a valid ECDSA
+ * signature of the supplied hash value using the supplied public key.
+ * \param dgst pointer to the hash value
+ * \param dgst_len length of the hash value
+ * \param sig ECDSA_SIG structure
+ * \param eckey EC_KEY object containing a public EC key
+ * \return 1 if the signature is valid, 0 if the signature is invalid
+ * and -1 on error
+ */
+int ECDSA_do_verify(const unsigned char *dgst, int dgst_len,
+ const ECDSA_SIG *sig, EC_KEY *eckey);
+
+/** Precompute parts of the signing operation
+ * \param eckey EC_KEY object containing a private EC key
+ * \param ctx BN_CTX object (optional)
+ * \param kinv BIGNUM pointer for the inverse of k
+ * \param rp BIGNUM pointer for x coordinate of k * generator
+ * \return 1 on success and 0 otherwise
+ */
+int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv, BIGNUM **rp);
+
+/** Computes ECDSA signature of a given hash value using the supplied
+ * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
+ * \param type this parameter is ignored
+ * \param dgst pointer to the hash value to sign
+ * \param dgstlen length of the hash value
+ * \param sig memory for the DER encoded created signature
+ * \param siglen pointer to the length of the returned signature
+ * \param eckey EC_KEY object containing a private EC key
+ * \return 1 on success and 0 otherwise
+ */
+int ECDSA_sign(int type, const unsigned char *dgst, int dgstlen,
+ unsigned char *sig, unsigned int *siglen, EC_KEY *eckey);
+
+/** Computes ECDSA signature of a given hash value using the supplied
+ * private key (note: sig must point to ECDSA_size(eckey) bytes of memory).
+ * \param type this parameter is ignored
+ * \param dgst pointer to the hash value to sign
+ * \param dgstlen length of the hash value
+ * \param sig buffer to hold the DER encoded signature
+ * \param siglen pointer to the length of the returned signature
+ * \param kinv BIGNUM with a pre-computed inverse k (optional)
+ * \param rp BIGNUM with a pre-computed rp value (optional),
+ * see ECDSA_sign_setup
+ * \param eckey EC_KEY object containing a private EC key
+ * \return 1 on success and 0 otherwise
+ */
+int ECDSA_sign_ex(int type, const unsigned char *dgst, int dgstlen,
+ unsigned char *sig, unsigned int *siglen,
+ const BIGNUM *kinv, const BIGNUM *rp, EC_KEY *eckey);
+
+/** Verifies that the given signature is valid ECDSA signature
+ * of the supplied hash value using the specified public key.
+ * \param type this parameter is ignored
+ * \param dgst pointer to the hash value
+ * \param dgstlen length of the hash value
+ * \param sig pointer to the DER encoded signature
+ * \param siglen length of the DER encoded signature
+ * \param eckey EC_KEY object containing a public EC key
+ * \return 1 if the signature is valid, 0 if the signature is invalid
+ * and -1 on error
+ */
+int ECDSA_verify(int type, const unsigned char *dgst, int dgstlen,
+ const unsigned char *sig, int siglen, EC_KEY *eckey);
+
+/** Returns the maximum length of the DER encoded signature
+ * \param eckey EC_KEY object
+ * \return numbers of bytes required for the DER encoded signature
+ */
+int ECDSA_size(const EC_KEY *eckey);
+
+/********************************************************************/
+/* EC_KEY_METHOD constructors, destructors, writers and accessors */
+/********************************************************************/
+
+EC_KEY_METHOD *EC_KEY_METHOD_new(const EC_KEY_METHOD *meth);
+void EC_KEY_METHOD_free(EC_KEY_METHOD *meth);
+void EC_KEY_METHOD_set_init(EC_KEY_METHOD *meth,
+ int (*init)(EC_KEY *key),
+ void (*finish)(EC_KEY *key),
+ int (*copy)(EC_KEY *dest, const EC_KEY *src),
+ int (*set_group)(EC_KEY *key, const EC_GROUP *grp),
+ int (*set_private)(EC_KEY *key,
+ const BIGNUM *priv_key),
+ int (*set_public)(EC_KEY *key,
+ const EC_POINT *pub_key));
+
+void EC_KEY_METHOD_set_keygen(EC_KEY_METHOD *meth,
+ int (*keygen)(EC_KEY *key));
+
+void EC_KEY_METHOD_set_compute_key(EC_KEY_METHOD *meth,
+ int (*ckey)(unsigned char **psec,
+ size_t *pseclen,
+ const EC_POINT *pub_key,
+ const EC_KEY *ecdh));
+
+void EC_KEY_METHOD_set_sign(EC_KEY_METHOD *meth,
+ int (*sign)(int type, const unsigned char *dgst,
+ int dlen, unsigned char *sig,
+ unsigned int *siglen,
+ const BIGNUM *kinv, const BIGNUM *r,
+ EC_KEY *eckey),
+ int (*sign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
+ BIGNUM **kinvp, BIGNUM **rp),
+ ECDSA_SIG *(*sign_sig)(const unsigned char *dgst,
+ int dgst_len,
+ const BIGNUM *in_kinv,
+ const BIGNUM *in_r,
+ EC_KEY *eckey));
+
+void EC_KEY_METHOD_set_verify(EC_KEY_METHOD *meth,
+ int (*verify)(int type, const unsigned
+ char *dgst, int dgst_len,
+ const unsigned char *sigbuf,
+ int sig_len, EC_KEY *eckey),
+ int (*verify_sig)(const unsigned char *dgst,
+ int dgst_len,
+ const ECDSA_SIG *sig,
+ EC_KEY *eckey));
+
+void EC_KEY_METHOD_get_init(const EC_KEY_METHOD *meth,
+ int (**pinit)(EC_KEY *key),
+ void (**pfinish)(EC_KEY *key),
+ int (**pcopy)(EC_KEY *dest, const EC_KEY *src),
+ int (**pset_group)(EC_KEY *key,
+ const EC_GROUP *grp),
+ int (**pset_private)(EC_KEY *key,
+ const BIGNUM *priv_key),
+ int (**pset_public)(EC_KEY *key,
+ const EC_POINT *pub_key));
+
+void EC_KEY_METHOD_get_keygen(const EC_KEY_METHOD *meth,
+ int (**pkeygen)(EC_KEY *key));
+
+void EC_KEY_METHOD_get_compute_key(const EC_KEY_METHOD *meth,
+ int (**pck)(unsigned char **psec,
+ size_t *pseclen,
+ const EC_POINT *pub_key,
+ const EC_KEY *ecdh));
+
+void EC_KEY_METHOD_get_sign(const EC_KEY_METHOD *meth,
+ int (**psign)(int type, const unsigned char *dgst,
+ int dlen, unsigned char *sig,
+ unsigned int *siglen,
+ const BIGNUM *kinv, const BIGNUM *r,
+ EC_KEY *eckey),
+ int (**psign_setup)(EC_KEY *eckey, BN_CTX *ctx_in,
+ BIGNUM **kinvp, BIGNUM **rp),
+ ECDSA_SIG *(**psign_sig)(const unsigned char *dgst,
+ int dgst_len,
+ const BIGNUM *in_kinv,
+ const BIGNUM *in_r,
+ EC_KEY *eckey));
+
+void EC_KEY_METHOD_get_verify(const EC_KEY_METHOD *meth,
+ int (**pverify)(int type, const unsigned
+ char *dgst, int dgst_len,
+ const unsigned char *sigbuf,
+ int sig_len, EC_KEY *eckey),
+ int (**pverify_sig)(const unsigned char *dgst,
+ int dgst_len,
+ const ECDSA_SIG *sig,
+ EC_KEY *eckey));
+
+# 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.
+ */
+
+int ERR_load_EC_strings(void);
+
+/* Error codes for the EC functions. */
+
+/* Function codes. */
+# define EC_F_BN_TO_FELEM 224
+# 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_ECDH_COMPUTE_KEY 246
+# define EC_F_ECDH_SIMPLE_COMPUTE_KEY 257
+# define EC_F_ECDSA_DO_SIGN_EX 251
+# define EC_F_ECDSA_DO_VERIFY 252
+# define EC_F_ECDSA_SIGN_EX 254
+# define EC_F_ECDSA_SIGN_SETUP 248
+# define EC_F_ECDSA_SIG_NEW 265
+# define EC_F_ECDSA_VERIFY 253
+# 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_WINDOWED_MUL 242
+# define EC_F_ECX_KEY_OP 266
+# define EC_F_ECX_PRIV_ENCODE 267
+# define EC_F_ECX_PUB_ENCODE 268
+# define EC_F_EC_ASN1_GROUP2CURVE 153
+# define EC_F_EC_ASN1_GROUP2FIELDID 154
+# 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_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_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_SET_AFFINE_COORDINATES 168
+# define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
+# 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_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_ECPARAMETERS 261
+# define EC_F_EC_GROUP_GET_ECPKPARAMETERS 262
+# 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_NEW_FROM_ECPARAMETERS 263
+# define EC_F_EC_GROUP_NEW_FROM_ECPKPARAMETERS 264
+# define EC_F_EC_GROUP_SET_CURVE_GF2M 176
+# define EC_F_EC_GROUP_SET_CURVE_GFP 109
+# 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_NEW_METHOD 245
+# define EC_F_EC_KEY_OCT2PRIV 255
+# define EC_F_EC_KEY_PRINT 180
+# define EC_F_EC_KEY_PRINT_FP 181
+# define EC_F_EC_KEY_PRIV2OCT 256
+# define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
+# define EC_F_EC_KEY_SIMPLE_CHECK_KEY 258
+# define EC_F_EC_KEY_SIMPLE_OCT2PRIV 259
+# define EC_F_EC_KEY_SIMPLE_PRIV2OCT 260
+# 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_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_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_OSSL_ECDH_COMPUTE_KEY 247
+# define EC_F_OSSL_ECDSA_SIGN_SIG 249
+# define EC_F_OSSL_ECDSA_VERIFY_SIG 250
+# define EC_F_PKEY_ECX_DERIVE 269
+# 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_BAD_SIGNATURE 156
+# 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_CURVE_DOES_NOT_SUPPORT_ECDH 160
+# define EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING 159
+# 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_KEY 116
+# define EC_R_INVALID_OUTPUT_LENGTH 161
+# define EC_R_INVALID_PEER_KEY 133
+# 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_NEED_NEW_SETUP_VALUES 157
+# define EC_R_NOT_A_NIST_PRIME 135
+# define EC_R_NOT_IMPLEMENTED 126
+# define EC_R_NOT_INITIALIZED 111
+# define EC_R_NO_PARAMETERS_SET 139
+# define EC_R_NO_PRIVATE_VALUE 154
+# define EC_R_OPERATION_NOT_SUPPORTED 152
+# define EC_R_PASSED_NULL_PARAMETER 134
+# define EC_R_PEER_KEY_ERROR 149
+# define EC_R_PKPARAMETERS2GROUP_FAILURE 127
+# define EC_R_POINT_ARITHMETIC_FAILURE 155
+# define EC_R_POINT_AT_INFINITY 106
+# define EC_R_POINT_IS_NOT_ON_CURVE 107
+# define EC_R_RANDOM_NUMBER_GENERATION_FAILED 158
+# 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
+#endif