+/** Returns GFp methods using optimized methods for NIST recommended curves
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_nist_method(void);
+
+# ifndef OPENSSL_NO_EC_NISTP_64_GCC_128
+/** Returns 64-bit optimized methods for nistp224
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_nistp224_method(void);
+
+/** Returns 64-bit optimized methods for nistp256
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_nistp256_method(void);
+
+/** Returns 64-bit optimized methods for nistp521
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GFp_nistp521_method(void);
+# endif
+
+# ifndef OPENSSL_NO_EC2M
+/********************************************************************/
+/* EC_METHOD for curves over GF(2^m) */
+/********************************************************************/
+
+/** Returns the basic GF2m ec method
+ * \return EC_METHOD object
+ */
+const EC_METHOD *EC_GF2m_simple_method(void);
+
+# endif
+
+/********************************************************************/
+/* EC_GROUP functions */
+/********************************************************************/
+
+/** Creates a new EC_GROUP object
+ * \param meth EC_METHOD to use
+ * \return newly created EC_GROUP object or NULL in case of an error.
+ */
+EC_GROUP *EC_GROUP_new(const EC_METHOD *meth);
+
+/** Frees a EC_GROUP object
+ * \param group EC_GROUP object to be freed.
+ */
+void EC_GROUP_free(EC_GROUP *group);
+
+/** Clears and frees a EC_GROUP object
+ * \param group EC_GROUP object to be cleared and freed.
+ */
+void EC_GROUP_clear_free(EC_GROUP *group);
+
+/** Copies EC_GROUP objects. Note: both EC_GROUPs must use the same EC_METHOD.
+ * \param dst destination EC_GROUP object
+ * \param src source EC_GROUP object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_GROUP_copy(EC_GROUP *dst, const EC_GROUP *src);
+
+/** Creates a new EC_GROUP object and copies the copies the content
+ * form src to the newly created EC_KEY object
+ * \param src source EC_GROUP object
+ * \return newly created EC_GROUP object or NULL in case of an error.
+ */
+EC_GROUP *EC_GROUP_dup(const EC_GROUP *src);
+
+/** Returns the EC_METHOD of the EC_GROUP object.
+ * \param group EC_GROUP object
+ * \return EC_METHOD used in this EC_GROUP object.
+ */
+const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *group);
+
+/** Returns the field type of the EC_METHOD.
+ * \param meth EC_METHOD object
+ * \return NID of the underlying field type OID.
+ */
+int EC_METHOD_get_field_type(const EC_METHOD *meth);
+
+/** Sets the generator and it's order/cofactor of a EC_GROUP object.
+ * \param group EC_GROUP object
+ * \param generator EC_POINT object with the generator.
+ * \param order the order of the group generated by the generator.
+ * \param cofactor the index of the sub-group generated by the generator
+ * in the group of all points on the elliptic curve.
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_generator(EC_GROUP *group, const EC_POINT *generator,
+ const BIGNUM *order, const BIGNUM *cofactor);
+
+/** Returns the generator of a EC_GROUP object.
+ * \param group EC_GROUP object
+ * \return the currently used generator (possibly NULL).
+ */
+const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *group);
+
+/** Returns the montgomery data for order(Generator)
+ * \param group EC_GROUP object
+ * \return the currently used generator (possibly NULL).
+*/
+BN_MONT_CTX *EC_GROUP_get_mont_data(const EC_GROUP *group);
+
+/** Gets the order of a EC_GROUP
+ * \param group EC_GROUP object
+ * \param order BIGNUM to which the order is copied
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order, BN_CTX *ctx);
+
+/** Gets the cofactor of a EC_GROUP
+ * \param group EC_GROUP object
+ * \param cofactor BIGNUM to which the cofactor is copied
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_cofactor(const EC_GROUP *group, BIGNUM *cofactor,
+ BN_CTX *ctx);
+
+/** Sets the name of a EC_GROUP object
+ * \param group EC_GROUP object
+ * \param nid NID of the curve name OID
+ */
+void EC_GROUP_set_curve_name(EC_GROUP *group, int nid);
+
+/** Returns the curve name of a EC_GROUP object
+ * \param group EC_GROUP object
+ * \return NID of the curve name OID or 0 if not set.
+ */
+int EC_GROUP_get_curve_name(const EC_GROUP *group);
+
+void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
+int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
+
+void EC_GROUP_set_point_conversion_form(EC_GROUP *group,
+ point_conversion_form_t form);
+point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
+
+unsigned char *EC_GROUP_get0_seed(const EC_GROUP *x);
+size_t EC_GROUP_get_seed_len(const EC_GROUP *);
+size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
+
+/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM with the prime number
+ * \param a BIGNUM with parameter a of the equation
+ * \param b BIGNUM with parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx);
+
+/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM for the prime number
+ * \param a BIGNUM for parameter a of the equation
+ * \param b BIGNUM for parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
+ BIGNUM *b, BN_CTX *ctx);
+
+# ifndef OPENSSL_NO_EC2M
+/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM with the polynomial defining the underlying field
+ * \param a BIGNUM with parameter a of the equation
+ * \param b BIGNUM with parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx);
+
+/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM for the polynomial defining the underlying field
+ * \param a BIGNUM for parameter a of the equation
+ * \param b BIGNUM for parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a,
+ BIGNUM *b, BN_CTX *ctx);
+# endif
+/** Returns the number of bits needed to represent a field element
+ * \param group EC_GROUP object
+ * \return number of bits needed to represent a field element
+ */
+int EC_GROUP_get_degree(const EC_GROUP *group);
+
+/** Checks whether the parameter in the EC_GROUP define a valid ec group
+ * \param group EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if group is a valid ec group and 0 otherwise
+ */
+int EC_GROUP_check(const EC_GROUP *group, BN_CTX *ctx);
+
+/** Checks whether the discriminant of the elliptic curve is zero or not
+ * \param group EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if the discriminant is not zero and 0 otherwise
+ */
+int EC_GROUP_check_discriminant(const EC_GROUP *group, BN_CTX *ctx);
+
+/** Compares two EC_GROUP objects
+ * \param a first EC_GROUP object
+ * \param b second EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 0 if both groups are equal and 1 otherwise
+ */
+int EC_GROUP_cmp(const EC_GROUP *a, const EC_GROUP *b, BN_CTX *ctx);
+
+/*
+ * EC_GROUP_new_GF*() calls EC_GROUP_new() and EC_GROUP_set_GF*() after
+ * choosing an appropriate EC_METHOD
+ */
+
+/** Creates a new EC_GROUP object with the specified parameters defined
+ * over GFp (defined by the equation y^2 = x^3 + a*x + b)
+ * \param p BIGNUM with the prime number
+ * \param a BIGNUM with the parameter a of the equation
+ * \param b BIGNUM with the parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return newly created EC_GROUP object with the specified parameters
+ */
+EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx);
+# ifndef OPENSSL_NO_EC2M
+/** Creates a new EC_GROUP object with the specified parameters defined
+ * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
+ * \param p BIGNUM with the polynomial defining the underlying field
+ * \param a BIGNUM with the parameter a of the equation
+ * \param b BIGNUM with the parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return newly created EC_GROUP object with the specified parameters
+ */
+EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a,
+ const BIGNUM *b, BN_CTX *ctx);
+# endif
+/** Creates a EC_GROUP object with a curve specified by a NID
+ * \param nid NID of the OID of the curve name
+ * \return newly created EC_GROUP object with specified curve or NULL
+ * if an error occurred
+ */
+EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
+
+/********************************************************************/
+/* handling of internal curves */
+/********************************************************************/
+
+typedef struct {
+ int nid;
+ const char *comment;
+} EC_builtin_curve;
+
+/*
+ * EC_builtin_curves(EC_builtin_curve *r, size_t size) returns number of all
+ * available curves or zero if a error occurred. In case r ist not zero
+ * nitems EC_builtin_curve structures are filled with the data of the first
+ * nitems internal groups
+ */
+size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
+
+const char *EC_curve_nid2nist(int nid);
+int EC_curve_nist2nid(const char *name);
+
+/********************************************************************/
+/* EC_POINT functions */
+/********************************************************************/
+
+/** Creates a new EC_POINT object for the specified EC_GROUP
+ * \param group EC_GROUP the underlying EC_GROUP object
+ * \return newly created EC_POINT object or NULL if an error occurred
+ */
+EC_POINT *EC_POINT_new(const EC_GROUP *group);
+
+/** Frees a EC_POINT object
+ * \param point EC_POINT object to be freed
+ */
+void EC_POINT_free(EC_POINT *point);
+
+/** Clears and frees a EC_POINT object
+ * \param point EC_POINT object to be cleared and freed
+ */
+void EC_POINT_clear_free(EC_POINT *point);
+
+/** Copies EC_POINT object
+ * \param dst destination EC_POINT object
+ * \param src source EC_POINT object
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
+
+/** Creates a new EC_POINT object and copies the content of the supplied
+ * EC_POINT
+ * \param src source EC_POINT object
+ * \param group underlying the EC_GROUP object
+ * \return newly created EC_POINT object or NULL if an error occurred
+ */
+EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
+
+/** Returns the EC_METHOD used in EC_POINT object
+ * \param point EC_POINT object
+ * \return the EC_METHOD used
+ */
+const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
+
+/** Sets a point to infinity (neutral element)
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT to set to infinity
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
+
+/** Sets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param z BIGNUM with the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group,
+ EC_POINT *p, const BIGNUM *x,
+ const BIGNUM *y, const BIGNUM *z,
+ BN_CTX *ctx);
+
+/** Gets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param z BIGNUM for the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x,
+ BIGNUM *y, BIGNUM *z,
+ BN_CTX *ctx);
+
+/** Sets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y,
+ BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x,
+ BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group,
+ EC_POINT *p, const BIGNUM *x,
+ int y_bit, BN_CTX *ctx);
+# ifndef OPENSSL_NO_EC2M
+/** Sets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y,
+ BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x,
+ BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group,
+ EC_POINT *p, const BIGNUM *x,
+ int y_bit, BN_CTX *ctx);
+# endif
+/** Encodes a EC_POINT object to a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param form point conversion form
+ * \param buf memory buffer for the result. If NULL the function returns
+ * required buffer size.
+ * \param len length of the memory buffer
+ * \param ctx BN_CTX object (optional)
+ * \return the length of the encoded octet string or 0 if an error occurred
+ */
+size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
+ point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/** Decodes a EC_POINT from a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param buf memory buffer with the encoded ec point
+ * \param len length of the encoded ec point
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
+ const unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/* other interfaces to point2oct/oct2point: */
+BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
+ point_conversion_form_t form, BIGNUM *, BN_CTX *);
+EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
+ EC_POINT *, BN_CTX *);
+char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
+ point_conversion_form_t form, BN_CTX *);
+EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
+ EC_POINT *, BN_CTX *);
+
+/********************************************************************/
+/* functions for doing EC_POINT arithmetic */
+/********************************************************************/
+
+/** Computes the sum of two EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = a + b)
+ * \param a EC_POINT object with the first summand
+ * \param b EC_POINT object with the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
+ const EC_POINT *b, BN_CTX *ctx);
+
+/** Computes the double of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = 2 * a)
+ * \param a EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a,
+ BN_CTX *ctx);
+
+/** Computes the inverse of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param a EC_POINT object to be inverted (it's used for the result as well)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
+
+/** Checks whether the point is the neutral element of the group
+ * \param group the underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \return 1 if the point is the neutral element and 0 otherwise
+ */
+int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
+
+/** Checks whether the point is on the curve
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT object to check
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if point if on the curve and 0 otherwise
+ */
+int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point,
+ BN_CTX *ctx);
+
+/** Compares two EC_POINTs
+ * \param group underlying EC_GROUP object
+ * \param a first EC_POINT object
+ * \param b second EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 0 if both points are equal and a value != 0 otherwise
+ */
+int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b,
+ BN_CTX *ctx);
+
+int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
+int EC_POINTs_make_affine(const EC_GROUP *group, size_t num,
+ EC_POINT *points[], BN_CTX *ctx);
+
+/** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param num number futher summands
+ * \param p array of size num of EC_POINT objects
+ * \param m array of size num of BIGNUM objects
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
+ size_t num, const EC_POINT *p[], const BIGNUM *m[],
+ BN_CTX *ctx);
+
+/** Computes r = generator * n + q * m
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param q EC_POINT object with the first factor of the second summand
+ * \param m BIGNUM with the second factor of the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n,
+ const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
+
+/** Stores multiples of generator for faster point multiplication
+ * \param group EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+
+/** Reports whether a precomputation has been done
+ * \param group EC_GROUP object
+ * \return 1 if a pre-computation has been done and 0 otherwise
+ */
+int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
+
+/********************************************************************/
+/* ASN1 stuff */
+/********************************************************************/
+
+/*
+ * EC_GROUP_get_basis_type() returns the NID of the basis type used to
+ * represent the field elements
+ */
+int EC_GROUP_get_basis_type(const EC_GROUP *);
+# ifndef OPENSSL_NO_EC2M
+int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
+int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
+ unsigned int *k2, unsigned int *k3);
+# endif
+
+# define OPENSSL_EC_NAMED_CURVE 0x001
+
+typedef struct ecpk_parameters_st ECPKPARAMETERS;
+
+EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
+int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
+
+# define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
+# define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
+# define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
+ (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
+# define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
+ (unsigned char *)(x))
+
+# ifndef OPENSSL_NO_BIO
+int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
+# endif
+# ifndef OPENSSL_NO_FP_API
+int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
+# endif
+
+/********************************************************************/
+/* EC_KEY functions */
+/********************************************************************/