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Diffstat (limited to 'include/openssl/ec.h')
| -rw-r--r-- | include/openssl/ec.h | 1167 |
1 files changed, 1167 insertions, 0 deletions
diff --git a/include/openssl/ec.h b/include/openssl/ec.h new file mode 100644 index 0000000000..99a4273c34 --- /dev/null +++ b/include/openssl/ec.h @@ -0,0 +1,1167 @@ +/* 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);
+
+#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);
+
+/** 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);
+
+
+/********************************************************************/
+/* EC_POINT functions */
+/********************************************************************/
+
+/** Creates a new EC_POINT object for the specified EC_GROUP
+ * \param group EC_GROUP the underlying EC_GROUP object
+ * \return newly created EC_POINT object or NULL if an error occurred
+ */
+EC_POINT *EC_POINT_new(const EC_GROUP *group);
+
+/** Frees a EC_POINT object
+ * \param point EC_POINT object to be freed
+ */
+void EC_POINT_free(EC_POINT *point);
+
+/** Clears and frees a EC_POINT object
+ * \param point EC_POINT object to be cleared and freed
+ */
+void EC_POINT_clear_free(EC_POINT *point);
+
+/** Copies EC_POINT object
+ * \param dst destination EC_POINT object
+ * \param src source EC_POINT object
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_copy(EC_POINT *dst, const EC_POINT *src);
+
+/** Creates a new EC_POINT object and copies the content of the supplied
+ * EC_POINT
+ * \param src source EC_POINT object
+ * \param group underlying the EC_GROUP object
+ * \return newly created EC_POINT object or NULL if an error occurred
+ */
+EC_POINT *EC_POINT_dup(const EC_POINT *src, const EC_GROUP *group);
+
+/** Returns the EC_METHOD used in EC_POINT object
+ * \param point EC_POINT object
+ * \return the EC_METHOD used
+ */
+const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
+
+/** Sets a point to infinity (neutral element)
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT to set to infinity
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
+
+/** Sets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param z BIGNUM with the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
+
+/** Gets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param z BIGNUM for the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
+
+/** Sets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx);
+#ifndef OPENSSL_NO_EC2M
+/** Sets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx);
+#endif
+/** Encodes a EC_POINT object to a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param form point conversion form
+ * \param buf memory buffer for the result. If NULL the function returns
+ * required buffer size.
+ * \param len length of the memory buffer
+ * \param ctx BN_CTX object (optional)
+ * \return the length of the encoded octet string or 0 if an error occurred
+ */
+size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
+ point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/** Decodes a EC_POINT from a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param buf memory buffer with the encoded ec point
+ * \param len length of the encoded ec point
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
+ const unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/* other interfaces to point2oct/oct2point: */
+BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
+ point_conversion_form_t form, BIGNUM *, BN_CTX *);
+EC_POINT *EC_POINT_bn2point(const EC_GROUP *, const BIGNUM *,
+ EC_POINT *, BN_CTX *);
+char *EC_POINT_point2hex(const EC_GROUP *, const EC_POINT *,
+ point_conversion_form_t form, BN_CTX *);
+EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
+ EC_POINT *, BN_CTX *);
+
+
+/********************************************************************/
+/* functions for doing EC_POINT arithmetic */
+/********************************************************************/
+
+/** Computes the sum of two EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = a + b)
+ * \param a EC_POINT object with the first summand
+ * \param b EC_POINT object with the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
+
+/** Computes the double of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = 2 * a)
+ * \param a EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
+
+/** Computes the inverse of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param a EC_POINT object to be inverted (it's used for the result as well)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
+
+/** Checks whether the point is the neutral element of the group
+ * \param group the underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \return 1 if the point is the neutral element and 0 otherwise
+ */
+int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
+
+/** Checks whether the point is on the curve
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT object to check
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if point if on the curve and 0 otherwise
+ */
+int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
+
+/** Compares two EC_POINTs
+ * \param group underlying EC_GROUP object
+ * \param a first EC_POINT object
+ * \param b second EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 0 if both points are equal and a value != 0 otherwise
+ */
+int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
+
+int EC_POINT_make_affine(const EC_GROUP *group, EC_POINT *point, BN_CTX *ctx);
+int EC_POINTs_make_affine(const EC_GROUP *group, size_t num, EC_POINT *points[], BN_CTX *ctx);
+
+/** Computes r = generator * n sum_{i=0}^{num-1} p[i] * m[i]
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param num number futher summands
+ * \param p array of size num of EC_POINT objects
+ * \param m array of size num of BIGNUM objects
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
+
+/** Computes r = generator * n + q * m
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param q EC_POINT object with the first factor of the second summand
+ * \param m BIGNUM with the second factor of the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
+
+/** Stores multiples of generator for faster point multiplication
+ * \param group EC_GROUP object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_precompute_mult(EC_GROUP *group, BN_CTX *ctx);
+
+/** Reports whether a precomputation has been done
+ * \param group EC_GROUP object
+ * \return 1 if a pre-computation has been done and 0 otherwise
+ */
+int EC_GROUP_have_precompute_mult(const EC_GROUP *group);
+
+
+/********************************************************************/
+/* ASN1 stuff */
+/********************************************************************/
+
+/* EC_GROUP_get_basis_type() returns the NID of the basis type
+ * used to represent the field elements */
+int EC_GROUP_get_basis_type(const EC_GROUP *);
+#ifndef OPENSSL_NO_EC2M
+int EC_GROUP_get_trinomial_basis(const EC_GROUP *, unsigned int *k);
+int EC_GROUP_get_pentanomial_basis(const EC_GROUP *, unsigned int *k1,
+ unsigned int *k2, unsigned int *k3);
+#endif
+
+#define OPENSSL_EC_NAMED_CURVE 0x001
+
+typedef struct ecpk_parameters_st ECPKPARAMETERS;
+
+EC_GROUP *d2i_ECPKParameters(EC_GROUP **, const unsigned char **in, long len);
+int i2d_ECPKParameters(const EC_GROUP *, unsigned char **out);
+
+#define d2i_ECPKParameters_bio(bp,x) ASN1_d2i_bio_of(EC_GROUP,NULL,d2i_ECPKParameters,bp,x)
+#define i2d_ECPKParameters_bio(bp,x) ASN1_i2d_bio_of_const(EC_GROUP,i2d_ECPKParameters,bp,x)
+#define d2i_ECPKParameters_fp(fp,x) (EC_GROUP *)ASN1_d2i_fp(NULL, \
+ (char *(*)())d2i_ECPKParameters,(fp),(unsigned char **)(x))
+#define i2d_ECPKParameters_fp(fp,x) ASN1_i2d_fp(i2d_ECPKParameters,(fp), \
+ (unsigned char *)(x))
+
+#ifndef OPENSSL_NO_BIO
+int ECPKParameters_print(BIO *bp, const EC_GROUP *x, int off);
+#endif
+#ifndef OPENSSL_NO_FP_API
+int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
+#endif
+
+
+/********************************************************************/
+/* EC_KEY functions */
+/********************************************************************/
+
+typedef struct ec_key_st EC_KEY;
+
+/* some values for the encoding_flag */
+#define EC_PKEY_NO_PARAMETERS 0x001
+#define EC_PKEY_NO_PUBKEY 0x002
+
+/* some values for the flags field */
+#define EC_FLAG_NON_FIPS_ALLOW 0x1
+#define EC_FLAG_FIPS_CHECKED 0x2
+
+/** Creates a new EC_KEY object.
+ * \return EC_KEY object or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_new(void);
+
+int EC_KEY_get_flags(const EC_KEY *key);
+
+void EC_KEY_set_flags(EC_KEY *key, int flags);
+
+void EC_KEY_clear_flags(EC_KEY *key, int flags);
+
+/** Creates a new EC_KEY object using a named curve as underlying
+ * EC_GROUP object.
+ * \param nid NID of the named curve.
+ * \return EC_KEY object or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_new_by_curve_name(int nid);
+
+/** Frees a EC_KEY object.
+ * \param key EC_KEY object to be freed.
+ */
+void EC_KEY_free(EC_KEY *key);
+
+/** Copies a EC_KEY object.
+ * \param dst destination EC_KEY object
+ * \param src src EC_KEY object
+ * \return dst or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
+
+/** Creates a new EC_KEY object and copies the content from src to it.
+ * \param src the source EC_KEY object
+ * \return newly created EC_KEY object or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_dup(const EC_KEY *src);
+
+/** Increases the internal reference count of a EC_KEY object.
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_up_ref(EC_KEY *key);
+
+/** Returns the EC_GROUP object of a EC_KEY object
+ * \param key EC_KEY object
+ * \return the EC_GROUP object (possibly NULL).
+ */
+const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
+
+/** Sets the EC_GROUP of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
+ * object will use an own copy of the EC_GROUP).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
+
+/** Returns the private key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \return a BIGNUM with the private key (possibly NULL).
+ */
+const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
+
+/** Sets the private key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param prv BIGNUM with the private key (note: the EC_KEY object
+ * will use an own copy of the BIGNUM).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
+
+/** Returns the public key of a EC_KEY object.
+ * \param key the EC_KEY object
+ * \return a EC_POINT object with the public key (possibly NULL)
+ */
+const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
+
+/** Sets the public key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param pub EC_POINT object with the public key (note: the EC_KEY object
+ * will use an own copy of the EC_POINT object).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
+
+unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
+void EC_KEY_set_enc_flags(EC_KEY *eckey, unsigned int flags);
+point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *key);
+void EC_KEY_set_conv_form(EC_KEY *eckey, point_conversion_form_t cform);
+/* functions to set/get method specific data */
+void *EC_KEY_get_key_method_data(EC_KEY *key,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+/** Sets the key method data of an EC_KEY object, if none has yet been set.
+ * \param key EC_KEY object
+ * \param data opaque data to install.
+ * \param dup_func a function that duplicates |data|.
+ * \param free_func a function that frees |data|.
+ * \param clear_free_func a function that wipes and frees |data|.
+ * \return the previously set data pointer, or NULL if |data| was inserted.
+ */
+void *EC_KEY_insert_key_method_data(EC_KEY *key, void *data,
+ void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
+/* wrapper functions for the underlying EC_GROUP object */
+void EC_KEY_set_asn1_flag(EC_KEY *eckey, int asn1_flag);
+
+/** Creates a table of pre-computed multiples of the generator to
+ * accelerate further EC_KEY operations.
+ * \param key EC_KEY object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
+
+/** Creates a new ec private (and optional a new public) key.
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_generate_key(EC_KEY *key);
+
+/** Verifies that a private and/or public key is valid.
+ * \param key the EC_KEY object
+ * \return 1 on success and 0 otherwise.
+ */
+int EC_KEY_check_key(const EC_KEY *key);
+
+/** Sets a public key from affine coordindates performing
+ * neccessary NIST PKV tests.
+ * \param key the EC_KEY object
+ * \param x public key x coordinate
+ * \param y public key y coordinate
+ * \return 1 on success and 0 otherwise.
+ */
+int EC_KEY_set_public_key_affine_coordinates(EC_KEY *key, BIGNUM *x, BIGNUM *y);
+
+
+/********************************************************************/
+/* de- and encoding functions for SEC1 ECPrivateKey */
+/********************************************************************/
+
+/** Decodes a private key from a memory buffer.
+ * \param key a pointer to a EC_KEY object which should be used (or NULL)
+ * \param in pointer to memory with the DER encoded private key
+ * \param len length of the DER encoded private key
+ * \return the decoded private key or NULL if an error occurred.
+ */
+EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes a private key object and stores the result in a buffer.
+ * \param key the EC_KEY object to encode
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
+
+
+/********************************************************************/
+/* de- and encoding functions for EC parameters */
+/********************************************************************/
+
+/** Decodes ec parameter from a memory buffer.
+ * \param key a pointer to a EC_KEY object which should be used (or NULL)
+ * \param in pointer to memory with the DER encoded ec parameters
+ * \param len length of the DER encoded ec parameters
+ * \return a EC_KEY object with the decoded parameters or NULL if an error
+ * occurred.
+ */
+EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes ec parameter and stores the result in a buffer.
+ * \param key the EC_KEY object with ec paramters to encode
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int i2d_ECParameters(EC_KEY *key, unsigned char **out);
+
+
+/********************************************************************/
+/* de- and encoding functions for EC public key */
+/* (octet string, not DER -- hence 'o2i' and 'i2o') */
+/********************************************************************/
+
+/** Decodes a ec public key from a octet string.
+ * \param key a pointer to a EC_KEY object which should be used
+ * \param in memory buffer with the encoded public key
+ * \param len length of the encoded public key
+ * \return EC_KEY object with decoded public key or NULL if an error
+ * occurred.
+ */
+EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes a ec public key in an octet string.
+ * \param key the EC_KEY object with the public key
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred
+ */
+int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
+
+#ifndef OPENSSL_NO_BIO
+/** Prints out the ec parameters on human readable form.
+ * \param bp BIO object to which the information is printed
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred
+ */
+int ECParameters_print(BIO *bp, const EC_KEY *key);
+
+/** Prints out the contents of a EC_KEY object
+ * \param bp BIO object to which the information is printed
+ * \param key EC_KEY object
+ * \param off line offset
+ * \return 1 on success and 0 if an error occurred
+ */
+int EC_KEY_print(BIO *bp, const EC_KEY *key, int off);
+
+#endif
+#ifndef OPENSSL_NO_FP_API
+/** Prints out the ec parameters on human readable form.
+ * \param fp file descriptor to which the information is printed
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred
+ */
+int ECParameters_print_fp(FILE *fp, const EC_KEY *key);
+
+/** Prints out the contents of a EC_KEY object
+ * \param fp file descriptor to which the information is printed
+ * \param key EC_KEY object
+ * \param off line offset
+ * \return 1 on success and 0 if an error occurred
+ */
+int EC_KEY_print_fp(FILE *fp, const EC_KEY *key, int off);
+
+#endif
+
+#define ECParameters_dup(x) ASN1_dup_of(EC_KEY,i2d_ECParameters,d2i_ECParameters,x)
+
+#ifndef __cplusplus
+#if defined(__SUNPRO_C)
+# if __SUNPRO_C >= 0x520
+# pragma error_messages (default,E_ARRAY_OF_INCOMPLETE_NONAME,E_ARRAY_OF_INCOMPLETE)
+# endif
+# endif
+#endif
+
+#define EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx, nid) \
+ EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_PARAMGEN, \
+ EVP_PKEY_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_BN_TO_FELEM 224
+#define EC_F_COMPUTE_WNAF 143
+#define EC_F_D2I_ECPARAMETERS 144
+#define EC_F_D2I_ECPKPARAMETERS 145
+#define EC_F_D2I_ECPRIVATEKEY 146
+#define EC_F_DO_EC_KEY_PRINT 221
+#define EC_F_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_NISTP224_GROUP_SET_CURVE 225
+#define EC_F_EC_GFP_NISTP224_POINTS_MUL 228
+#define EC_F_EC_GFP_NISTP224_POINT_GET_AFFINE_COORDINATES 226
+#define EC_F_EC_GFP_NISTP256_GROUP_SET_CURVE 230
+#define EC_F_EC_GFP_NISTP256_POINTS_MUL 231
+#define EC_F_EC_GFP_NISTP256_POINT_GET_AFFINE_COORDINATES 232
+#define EC_F_EC_GFP_NISTP521_GROUP_SET_CURVE 233
+#define EC_F_EC_GFP_NISTP521_POINTS_MUL 234
+#define EC_F_EC_GFP_NISTP521_POINT_GET_AFFINE_COORDINATES 235
+#define EC_F_EC_GFP_NIST_FIELD_MUL 200
+#define EC_F_EC_GFP_NIST_FIELD_SQR 201
+#define EC_F_EC_GFP_NIST_GROUP_SET_CURVE 202
+#define EC_F_EC_GFP_SIMPLE_GROUP_CHECK_DISCRIMINANT 165
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE 166
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_CURVE_GFP 100
+#define EC_F_EC_GFP_SIMPLE_GROUP_SET_GENERATOR 101
+#define EC_F_EC_GFP_SIMPLE_MAKE_AFFINE 102
+#define EC_F_EC_GFP_SIMPLE_OCT2POINT 103
+#define EC_F_EC_GFP_SIMPLE_POINT2OCT 104
+#define EC_F_EC_GFP_SIMPLE_POINTS_MAKE_AFFINE 137
+#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES 167
+#define EC_F_EC_GFP_SIMPLE_POINT_GET_AFFINE_COORDINATES_GFP 105
+#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES 168
+#define EC_F_EC_GFP_SIMPLE_POINT_SET_AFFINE_COORDINATES_GFP 128
+#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES 169
+#define EC_F_EC_GFP_SIMPLE_SET_COMPRESSED_COORDINATES_GFP 129
+#define EC_F_EC_GROUP_CHECK 170
+#define EC_F_EC_GROUP_CHECK_DISCRIMINANT 171
+#define EC_F_EC_GROUP_COPY 106
+#define EC_F_EC_GROUP_GET0_GENERATOR 139
+#define EC_F_EC_GROUP_GET_COFACTOR 140
+#define EC_F_EC_GROUP_GET_CURVE_GF2M 172
+#define EC_F_EC_GROUP_GET_CURVE_GFP 130
+#define EC_F_EC_GROUP_GET_DEGREE 173
+#define EC_F_EC_GROUP_GET_ORDER 141
+#define EC_F_EC_GROUP_GET_PENTANOMIAL_BASIS 193
+#define EC_F_EC_GROUP_GET_TRINOMIAL_BASIS 194
+#define EC_F_EC_GROUP_NEW 108
+#define EC_F_EC_GROUP_NEW_BY_CURVE_NAME 174
+#define EC_F_EC_GROUP_NEW_FROM_DATA 175
+#define EC_F_EC_GROUP_PRECOMPUTE_MULT 142
+#define EC_F_EC_GROUP_SET_CURVE_GF2M 176
+#define EC_F_EC_GROUP_SET_CURVE_GFP 109
+#define EC_F_EC_GROUP_SET_EXTRA_DATA 110
+#define EC_F_EC_GROUP_SET_GENERATOR 111
+#define EC_F_EC_KEY_CHECK_KEY 177
+#define EC_F_EC_KEY_COPY 178
+#define EC_F_EC_KEY_GENERATE_KEY 179
+#define EC_F_EC_KEY_NEW 182
+#define EC_F_EC_KEY_PRINT 180
+#define EC_F_EC_KEY_PRINT_FP 181
+#define EC_F_EC_KEY_SET_PUBLIC_KEY_AFFINE_COORDINATES 229
+#define EC_F_EC_POINTS_MAKE_AFFINE 136
+#define EC_F_EC_POINT_ADD 112
+#define EC_F_EC_POINT_CMP 113
+#define EC_F_EC_POINT_COPY 114
+#define EC_F_EC_POINT_DBL 115
+#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GF2M 183
+#define EC_F_EC_POINT_GET_AFFINE_COORDINATES_GFP 116
+#define EC_F_EC_POINT_GET_JPROJECTIVE_COORDINATES_GFP 117
+#define EC_F_EC_POINT_INVERT 210
+#define EC_F_EC_POINT_IS_AT_INFINITY 118
+#define EC_F_EC_POINT_IS_ON_CURVE 119
+#define EC_F_EC_POINT_MAKE_AFFINE 120
+#define EC_F_EC_POINT_MUL 184
+#define EC_F_EC_POINT_NEW 121
+#define EC_F_EC_POINT_OCT2POINT 122
+#define EC_F_EC_POINT_POINT2OCT 123
+#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GF2M 185
+#define EC_F_EC_POINT_SET_AFFINE_COORDINATES_GFP 124
+#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GF2M 186
+#define EC_F_EC_POINT_SET_COMPRESSED_COORDINATES_GFP 125
+#define EC_F_EC_POINT_SET_JPROJECTIVE_COORDINATES_GFP 126
+#define EC_F_EC_POINT_SET_TO_INFINITY 127
+#define EC_F_EC_PRE_COMP_DUP 207
+#define EC_F_EC_PRE_COMP_NEW 196
+#define EC_F_EC_WNAF_MUL 187
+#define EC_F_EC_WNAF_PRECOMPUTE_MULT 188
+#define EC_F_I2D_ECPARAMETERS 190
+#define EC_F_I2D_ECPKPARAMETERS 191
+#define EC_F_I2D_ECPRIVATEKEY 192
+#define EC_F_I2O_ECPUBLICKEY 151
+#define EC_F_NISTP224_PRE_COMP_NEW 227
+#define EC_F_NISTP256_PRE_COMP_NEW 236
+#define EC_F_NISTP521_PRE_COMP_NEW 237
+#define EC_F_O2I_ECPUBLICKEY 152
+#define EC_F_OLD_EC_PRIV_DECODE 222
+#define EC_F_PKEY_EC_CTRL 197
+#define EC_F_PKEY_EC_CTRL_STR 198
+#define EC_F_PKEY_EC_DERIVE 217
+#define EC_F_PKEY_EC_KEYGEN 199
+#define EC_F_PKEY_EC_PARAMGEN 219
+#define EC_F_PKEY_EC_SIGN 218
+
+/* Reason codes. */
+#define EC_R_ASN1_ERROR 115
+#define EC_R_ASN1_UNKNOWN_FIELD 116
+#define EC_R_BIGNUM_OUT_OF_RANGE 144
+#define EC_R_BUFFER_TOO_SMALL 100
+#define EC_R_COORDINATES_OUT_OF_RANGE 146
+#define EC_R_D2I_ECPKPARAMETERS_FAILURE 117
+#define EC_R_DECODE_ERROR 142
+#define EC_R_DISCRIMINANT_IS_ZERO 118
+#define EC_R_EC_GROUP_NEW_BY_NAME_FAILURE 119
+#define EC_R_FIELD_TOO_LARGE 143
+#define EC_R_GF2M_NOT_SUPPORTED 147
+#define EC_R_GROUP2PKPARAMETERS_FAILURE 120
+#define EC_R_I2D_ECPKPARAMETERS_FAILURE 121
+#define EC_R_INCOMPATIBLE_OBJECTS 101
+#define EC_R_INVALID_ARGUMENT 112
+#define EC_R_INVALID_COMPRESSED_POINT 110
+#define EC_R_INVALID_COMPRESSION_BIT 109
+#define EC_R_INVALID_CURVE 141
+#define EC_R_INVALID_DIGEST_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_CURVE_PARAMETERS 145
+#define EC_R_WRONG_ORDER 130
+
+#ifdef __cplusplus
+}
+#endif
+#endif
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