/*
* 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) 1998-2003 The OpenSSL Project. All rights reserved.
+ * 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
# endif
#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 {
- /* values as defined in X9.62 (ECDSA) and elsewhere */
+ /** 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_point_st EC_POINT;
-/* EC_METHODs for curves over GF(p).
- * EC_GFp_simple_method provides the basis for the optimized methods.
+/********************************************************************/
+/* EC_METHODs for curves over GF(p) */
+/********************************************************************/
+
+/** Returns the basic GFp ec methods which provides the basis for the
+ * optimized methods.
+ * \return EC_METHOD object
*/
const EC_METHOD *EC_GFp_simple_method(void);
+
+/** Returns GFp methods using montgomery multiplication.
+ * \return EC_METHOD object
+ */
const EC_METHOD *EC_GFp_mont_method(void);
+
+/** Returns GFp methods using optimized methods for NIST recommended curves
+ * \return EC_METHOD object
+ */
const EC_METHOD *EC_GFp_nist_method(void);
-/* EC_METHOD for curves over GF(2^m).
+
+/********************************************************************/
+/* EC_METHOD for curves over GF(2^m) */
+/********************************************************************/
+
+/** Returns the basic GF2m ec method
+ * \return EC_METHOD object
*/
const EC_METHOD *EC_GF2m_simple_method(void);
-EC_GROUP *EC_GROUP_new(const EC_METHOD *);
-void EC_GROUP_free(EC_GROUP *);
-void EC_GROUP_clear_free(EC_GROUP *);
-int EC_GROUP_copy(EC_GROUP *, const EC_GROUP *);
-EC_GROUP *EC_GROUP_dup(const EC_GROUP *);
+/********************************************************************/
+/* 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);
-const EC_METHOD *EC_GROUP_method_of(const EC_GROUP *);
-int EC_METHOD_get_field_type(const EC_METHOD *);
+/** 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);
-int EC_GROUP_set_generator(EC_GROUP *, const EC_POINT *generator, const BIGNUM *order, const BIGNUM *cofactor);
-const EC_POINT *EC_GROUP_get0_generator(const EC_GROUP *);
-int EC_GROUP_get_order(const EC_GROUP *, BIGNUM *order, BN_CTX *);
-int EC_GROUP_get_cofactor(const EC_GROUP *, BIGNUM *cofactor, BN_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);
-void EC_GROUP_set_curve_name(EC_GROUP *, int nid);
-int EC_GROUP_get_curve_name(const EC_GROUP *);
+/** 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 *, int flag);
-int EC_GROUP_get_asn1_flag(const EC_GROUP *);
+void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
+int EC_GROUP_get_asn1_flag(const EC_GROUP *group);
void EC_GROUP_set_point_conversion_form(EC_GROUP *, point_conversion_form_t);
point_conversion_form_t EC_GROUP_get_point_conversion_form(const EC_GROUP *);
size_t EC_GROUP_get_seed_len(const EC_GROUP *);
size_t EC_GROUP_set_seed(EC_GROUP *, const unsigned char *, size_t len);
-int EC_GROUP_set_curve_GFp(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-int EC_GROUP_get_curve_GFp(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
-int EC_GROUP_set_curve_GF2m(EC_GROUP *, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-int EC_GROUP_get_curve_GF2m(const EC_GROUP *, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *);
+/** Sets the parameter of a ec over GFp defined by y^2 = x^3 + a*x + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM with the prime number
+ * \param a BIGNUM with parameter a of the equation
+ * \param b BIGNUM with parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_curve_GFp(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Gets the parameter of the ec over GFp defined by y^2 = x^3 + a*x + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM for the prime number
+ * \param a BIGNUM for parameter a of the equation
+ * \param b BIGNUM for parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_curve_GFp(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
+
+/** Sets the parameter of a ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM with the polynomial defining the underlying field
+ * \param a BIGNUM with parameter a of the equation
+ * \param b BIGNUM with parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_set_curve_GF2m(EC_GROUP *group, const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Gets the parameter of the ec over GF2m defined by y^2 + x*y = x^3 + a*x^2 + b
+ * \param group EC_GROUP object
+ * \param p BIGNUM for the polynomial defining the underlying field
+ * \param a BIGNUM for parameter a of the equation
+ * \param b BIGNUM for parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_GROUP_get_curve_GF2m(const EC_GROUP *group, BIGNUM *p, BIGNUM *a, BIGNUM *b, BN_CTX *ctx);
-/* returns the number of bits needed to represent a field element */
-int EC_GROUP_get_degree(const EC_GROUP *);
+/** 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);
-/* EC_GROUP_check() returns 1 if 'group' defines a valid group, 0 otherwise */
+/** 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);
-/* EC_GROUP_check_discriminant() returns 1 if the discriminant of the
- * elliptic curve is not zero, 0 otherwise */
-int EC_GROUP_check_discriminant(const EC_GROUP *, BN_CTX *);
-/* EC_GROUP_cmp() returns 0 if both groups are equal and 1 otherwise */
-int EC_GROUP_cmp(const EC_GROUP *, const EC_GROUP *, BN_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 */
-EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *);
-/* EC_GROUP_new_by_curve_name() creates a EC_GROUP structure
- * specified by a curve name (in form of a NID) */
+/** Creates a new EC_GROUP object with the specified parameters defined
+ * over GFp (defined by the equation y^2 = x^3 + a*x + b)
+ * \param p BIGNUM with the prime number
+ * \param a BIGNUM with the parameter a of the equation
+ * \param b BIGNUM with the parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return newly created EC_GROUP object with the specified parameters
+ */
+EC_GROUP *EC_GROUP_new_curve_GFp(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Creates a new EC_GROUP object with the specified parameters defined
+ * over GF2m (defined by the equation y^2 + x*y = x^3 + a*x^2 + b)
+ * \param p BIGNUM with the polynomial defining the underlying field
+ * \param a BIGNUM with the parameter a of the equation
+ * \param b BIGNUM with the parameter b of the equation
+ * \param ctx BN_CTX object (optional)
+ * \return newly created EC_GROUP object with the specified parameters
+ */
+EC_GROUP *EC_GROUP_new_curve_GF2m(const BIGNUM *p, const BIGNUM *a, const BIGNUM *b, BN_CTX *ctx);
+
+/** Creates a EC_GROUP object with a curve specified by a NID
+ * \param nid NID of the OID of the curve name
+ * \return newly created EC_GROUP object with specified curve or NULL
+ * if an error occurred
+ */
EC_GROUP *EC_GROUP_new_by_curve_name(int nid);
-/* handling of internal curves */
+
+
+/********************************************************************/
+/* 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
size_t EC_get_builtin_curves(EC_builtin_curve *r, size_t nitems);
-/* EC_POINT functions */
+/********************************************************************/
+/* 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);
-EC_POINT *EC_POINT_new(const EC_GROUP *);
-void EC_POINT_free(EC_POINT *);
-void EC_POINT_clear_free(EC_POINT *);
-int EC_POINT_copy(EC_POINT *, const EC_POINT *);
-EC_POINT *EC_POINT_dup(const EC_POINT *, const EC_GROUP *);
+/** 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);
-const EC_METHOD *EC_POINT_method_of(const EC_POINT *);
-
-int EC_POINT_set_to_infinity(const EC_GROUP *, EC_POINT *);
-int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *, EC_POINT *,
- const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *);
-int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
- BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *);
-int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *, EC_POINT *,
- const BIGNUM *x, const BIGNUM *y, BN_CTX *);
-int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *, const EC_POINT *,
- BIGNUM *x, BIGNUM *y, BN_CTX *);
-int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *, EC_POINT *,
- const BIGNUM *x, int y_bit, BN_CTX *);
-
-int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
- const BIGNUM *x, const BIGNUM *y, BN_CTX *);
-int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *, const EC_POINT *,
- BIGNUM *x, BIGNUM *y, BN_CTX *);
-int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *, EC_POINT *,
- const BIGNUM *x, int y_bit, BN_CTX *);
-
-size_t EC_POINT_point2oct(const EC_GROUP *, const EC_POINT *, point_conversion_form_t form,
- unsigned char *buf, size_t len, BN_CTX *);
-int EC_POINT_oct2point(const EC_GROUP *, EC_POINT *,
- const unsigned char *buf, size_t len, BN_CTX *);
+/** Returns the EC_METHOD used in EC_POINT object
+ * \param point EC_POINT object
+ * \return the EC_METHOD used
+ */
+const EC_METHOD *EC_POINT_method_of(const EC_POINT *point);
+
+/** Sets a point to infinity (neutral element)
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT to set to infinity
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_to_infinity(const EC_GROUP *group, EC_POINT *point);
+
+/** Sets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param z BIGNUM with the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_Jprojective_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, const BIGNUM *z, BN_CTX *ctx);
+
+/** Gets the jacobian projective coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param z BIGNUM for the z-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_Jprojective_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BIGNUM *z, BN_CTX *ctx);
+
+/** Sets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GFp(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GFp
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GFp(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx);
+
+/** Sets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with the x-coordinate
+ * \param y BIGNUM with the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_affine_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, const BIGNUM *y, BN_CTX *ctx);
+
+/** Gets the affine coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM for the x-coordinate
+ * \param y BIGNUM for the y-coordinate
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_get_affine_coordinates_GF2m(const EC_GROUP *group,
+ const EC_POINT *p, BIGNUM *x, BIGNUM *y, BN_CTX *ctx);
+
+/** Sets the x9.62 compressed coordinates of a EC_POINT over GF2m
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param x BIGNUM with x-coordinate
+ * \param y_bit integer with the y-Bit (either 0 or 1)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_set_compressed_coordinates_GF2m(const EC_GROUP *group, EC_POINT *p,
+ const BIGNUM *x, int y_bit, BN_CTX *ctx);
+
+/** Encodes a EC_POINT object to a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param form point conversion form
+ * \param buf memory buffer for the result. If NULL the function returns
+ * required buffer size.
+ * \param len length of the memory buffer
+ * \param ctx BN_CTX object (optional)
+ * \return the length of the encoded octet string or 0 if an error occurred
+ */
+size_t EC_POINT_point2oct(const EC_GROUP *group, const EC_POINT *p,
+ point_conversion_form_t form,
+ unsigned char *buf, size_t len, BN_CTX *ctx);
+
+/** Decodes a EC_POINT from a octet string
+ * \param group underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \param buf memory buffer with the encoded ec point
+ * \param len length of the encoded ec point
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_oct2point(const EC_GROUP *group, EC_POINT *p,
+ const unsigned char *buf, size_t len, BN_CTX *ctx);
/* other interfaces to point2oct/oct2point: */
BIGNUM *EC_POINT_point2bn(const EC_GROUP *, const EC_POINT *,
EC_POINT *EC_POINT_hex2point(const EC_GROUP *, const char *,
EC_POINT *, BN_CTX *);
-int EC_POINT_add(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
-int EC_POINT_dbl(const EC_GROUP *, EC_POINT *r, const EC_POINT *a, BN_CTX *);
-int EC_POINT_invert(const EC_GROUP *, EC_POINT *, BN_CTX *);
-int EC_POINT_is_at_infinity(const EC_GROUP *, const EC_POINT *);
-int EC_POINT_is_on_curve(const EC_GROUP *, const EC_POINT *, BN_CTX *);
-int EC_POINT_cmp(const EC_GROUP *, const EC_POINT *a, const EC_POINT *b, BN_CTX *);
+/********************************************************************/
+/* functions for doing EC_POINT arithmetic */
+/********************************************************************/
+
+/** Computes the sum of two EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = a + b)
+ * \param a EC_POINT object with the first summand
+ * \param b EC_POINT object with the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_add(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
+
+/** Computes the double of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result (r = 2 * a)
+ * \param a EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_dbl(const EC_GROUP *group, EC_POINT *r, const EC_POINT *a, BN_CTX *ctx);
+
+/** Computes the inverse of a EC_POINT
+ * \param group underlying EC_GROUP object
+ * \param a EC_POINT object to be inverted (it's used for the result as well)
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_invert(const EC_GROUP *group, EC_POINT *a, BN_CTX *ctx);
+
+/** Checks whether the point is the neutral element of the group
+ * \param group the underlying EC_GROUP object
+ * \param p EC_POINT object
+ * \return 1 if the point is the neutral element and 0 otherwise
+ */
+int EC_POINT_is_at_infinity(const EC_GROUP *group, const EC_POINT *p);
+
+/** Checks whether the point is on the curve
+ * \param group underlying EC_GROUP object
+ * \param point EC_POINT object to check
+ * \param ctx BN_CTX object (optional)
+ * \return 1 if point if on the curve and 0 otherwise
+ */
+int EC_POINT_is_on_curve(const EC_GROUP *group, const EC_POINT *point, BN_CTX *ctx);
+
+/** Compares two EC_POINTs
+ * \param group underlying EC_GROUP object
+ * \param a first EC_POINT object
+ * \param b second EC_POINT object
+ * \param ctx BN_CTX object (optional)
+ * \return 0 if both points are equal and a value != 0 otherwise
+ */
+int EC_POINT_cmp(const EC_GROUP *group, const EC_POINT *a, const EC_POINT *b, BN_CTX *ctx);
int EC_POINT_make_affine(const EC_GROUP *, EC_POINT *, BN_CTX *);
int EC_POINTs_make_affine(const EC_GROUP *, size_t num, EC_POINT *[], BN_CTX *);
+/** Computes r = generator * n sum_{i=0}^num p[i] * m[i]
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param num number futher summands
+ * \param p array of size num of EC_POINT objects
+ * \param m array of size num of BIGNUM objects
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINTs_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, size_t num, const EC_POINT *p[], const BIGNUM *m[], BN_CTX *ctx);
+
+/** Computes r = generator * n + q * m
+ * \param group underlying EC_GROUP object
+ * \param r EC_POINT object for the result
+ * \param n BIGNUM with the multiplier for the group generator (optional)
+ * \param q EC_POINT object with the first factor of the second summand
+ * \param m BIGNUM with the second factor of the second summand
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occured
+ */
+int EC_POINT_mul(const EC_GROUP *group, EC_POINT *r, const BIGNUM *n, const EC_POINT *q, const BIGNUM *m, BN_CTX *ctx);
-int EC_POINTs_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, size_t num, const EC_POINT *[], const BIGNUM *[], BN_CTX *);
-int EC_POINT_mul(const EC_GROUP *, EC_POINT *r, const BIGNUM *, const EC_POINT *, const BIGNUM *, BN_CTX *);
-
-/* EC_GROUP_precompute_mult() stores multiples of generator for faster point multiplication */
-int EC_GROUP_precompute_mult(EC_GROUP *, BN_CTX *);
-/* EC_GROUP_have_precompute_mult() reports whether such precomputation has been done */
-int EC_GROUP_have_precompute_mult(const EC_GROUP *);
+/** 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 */
+/********************************************************************/
+/* ASN1 stuff */
+/********************************************************************/
/* EC_GROUP_get_basis_type() returns the NID of the basis type
* used to represent the field elements */
int ECPKParameters_print_fp(FILE *fp, const EC_GROUP *x, int off);
#endif
-/* the EC_KEY stuff */
+
+/********************************************************************/
+/* EC_KEY functions */
+/********************************************************************/
+
typedef struct ec_key_st EC_KEY;
/* some values for the encoding_flag */
#define EC_PKEY_NO_PARAMETERS 0x001
#define EC_PKEY_NO_PUBKEY 0x002
+/** Creates a new EC_KEY object.
+ * \return EC_KEY object or NULL if an error occurred.
+ */
EC_KEY *EC_KEY_new(void);
+
+/** Creates a new EC_KEY object using a named curve as underlying
+ * EC_GROUP object.
+ * \param nid NID of the named curve.
+ * \return EC_KEY object or NULL if an error occurred.
+ */
EC_KEY *EC_KEY_new_by_curve_name(int nid);
-void EC_KEY_free(EC_KEY *);
-EC_KEY *EC_KEY_copy(EC_KEY *, const EC_KEY *);
-EC_KEY *EC_KEY_dup(const EC_KEY *);
-
-int EC_KEY_up_ref(EC_KEY *);
-
-const EC_GROUP *EC_KEY_get0_group(const EC_KEY *);
-int EC_KEY_set_group(EC_KEY *, const EC_GROUP *);
-const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *);
-int EC_KEY_set_private_key(EC_KEY *, const BIGNUM *);
-const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *);
-int EC_KEY_set_public_key(EC_KEY *, const EC_POINT *);
-unsigned EC_KEY_get_enc_flags(const EC_KEY *);
+
+/** Frees a EC_KEY object.
+ * \param key EC_KEY object to be freed.
+ */
+void EC_KEY_free(EC_KEY *key);
+
+/** Copies a EC_KEY object.
+ * \param dst destination EC_KEY object
+ * \param src src EC_KEY object
+ * \return dst or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_copy(EC_KEY *dst, const EC_KEY *src);
+
+/** Creates a new EC_KEY object and copies the content from src to it.
+ * \param src the source EC_KEY object
+ * \return newly created EC_KEY object or NULL if an error occurred.
+ */
+EC_KEY *EC_KEY_dup(const EC_KEY *src);
+
+/** Increases the internal reference count of a EC_KEY object.
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_up_ref(EC_KEY *key);
+
+/** Returns the EC_GROUP object of a EC_KEY object
+ * \param key EC_KEY object
+ * \return the EC_GROUP object (possibly NULL).
+ */
+const EC_GROUP *EC_KEY_get0_group(const EC_KEY *key);
+
+/** Sets the EC_GROUP of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param group EC_GROUP to use in the EC_KEY object (note: the EC_KEY
+ * object will use an own copy of the EC_GROUP).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_group(EC_KEY *key, const EC_GROUP *group);
+
+/** Returns the private key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \return a BIGNUM with the private key (possibly NULL).
+ */
+const BIGNUM *EC_KEY_get0_private_key(const EC_KEY *key);
+
+/** Sets the private key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param prv BIGNUM with the private key (note: the EC_KEY object
+ * will use an own copy of the BIGNUM).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_private_key(EC_KEY *key, const BIGNUM *prv);
+
+/** Returns the public key of a EC_KEY object.
+ * \param key the EC_KEY object
+ * \return a EC_POINT object with the public key (possibly NULL)
+ */
+const EC_POINT *EC_KEY_get0_public_key(const EC_KEY *key);
+
+/** Sets the public key of a EC_KEY object.
+ * \param key EC_KEY object
+ * \param pub EC_POINT object with the public key (note: the EC_KEY object
+ * will use an own copy of the EC_POINT object).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_set_public_key(EC_KEY *key, const EC_POINT *pub);
+
+unsigned EC_KEY_get_enc_flags(const EC_KEY *key);
void EC_KEY_set_enc_flags(EC_KEY *, unsigned int);
point_conversion_form_t EC_KEY_get_conv_form(const EC_KEY *);
void EC_KEY_set_conv_form(EC_KEY *, point_conversion_form_t);
void *(*dup_func)(void *), void (*free_func)(void *), void (*clear_free_func)(void *));
/* wrapper functions for the underlying EC_GROUP object */
void EC_KEY_set_asn1_flag(EC_KEY *, int);
-int EC_KEY_precompute_mult(EC_KEY *, BN_CTX *ctx);
-
-/* EC_KEY_generate_key() creates a ec private (public) key */
-int EC_KEY_generate_key(EC_KEY *);
-/* EC_KEY_check_key() */
-int EC_KEY_check_key(const EC_KEY *);
-
-/* de- and encoding functions for SEC1 ECPrivateKey */
-EC_KEY *d2i_ECPrivateKey(EC_KEY **a, const unsigned char **in, long len);
-int i2d_ECPrivateKey(EC_KEY *a, unsigned char **out);
-/* de- and encoding functions for EC parameters */
-EC_KEY *d2i_ECParameters(EC_KEY **a, const unsigned char **in, long len);
-int i2d_ECParameters(EC_KEY *a, unsigned char **out);
-/* de- and encoding functions for EC public key
- * (octet string, not DER -- hence 'o2i' and 'i2o') */
-EC_KEY *o2i_ECPublicKey(EC_KEY **a, const unsigned char **in, long len);
-int i2o_ECPublicKey(EC_KEY *a, unsigned char **out);
+
+/** Creates a table of pre-computed multiples of the generator to
+ * accelerate further EC_KEY operations.
+ * \param key EC_KEY object
+ * \param ctx BN_CTX object (optional)
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_precompute_mult(EC_KEY *key, BN_CTX *ctx);
+
+/** Creates a new ec private (and optional a new public) key.
+ * \param key EC_KEY object
+ * \return 1 on success and 0 if an error occurred.
+ */
+int EC_KEY_generate_key(EC_KEY *key);
+
+/** Verifies that a private and/or public key is valid.
+ * \param key the EC_KEY object
+ * \return 1 on success and 0 otherwise.
+ */
+int EC_KEY_check_key(const EC_KEY *key);
+
+
+/********************************************************************/
+/* de- and encoding functions for SEC1 ECPrivateKey */
+/********************************************************************/
+
+/** Decodes a private key from a memory buffer.
+ * \param key a pointer to a EC_KEY object which should be used (or NULL)
+ * \param in pointer to memory with the DER encoded private key
+ * \param len length of the DER encoded private key
+ * \return the decoded private key or NULL if an error occurred.
+ */
+EC_KEY *d2i_ECPrivateKey(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes a private key object and stores the result in a buffer.
+ * \param key the EC_KEY object to encode
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int i2d_ECPrivateKey(EC_KEY *key, unsigned char **out);
+
+
+/********************************************************************/
+/* de- and encoding functions for EC parameters */
+/********************************************************************/
+
+/** Decodes ec parameter from a memory buffer.
+ * \param key a pointer to a EC_KEY object which should be used (or NULL)
+ * \param in pointer to memory with the DER encoded ec parameters
+ * \param len length of the DER encoded ec parameters
+ * \return a EC_KEY object with the decoded parameters or NULL if an error
+ * occurred.
+ */
+EC_KEY *d2i_ECParameters(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes ec parameter and stores the result in a buffer.
+ * \param key the EC_KEY object with ec paramters to encode
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred.
+ */
+int i2d_ECParameters(EC_KEY *key, unsigned char **out);
+
+
+/********************************************************************/
+/* de- and encoding functions for EC public key */
+/* (octet string, not DER -- hence 'o2i' and 'i2o') */
+/********************************************************************/
+
+/** Decodes a ec public key from a octet string.
+ * \param key a pointer to a EC_KEY object which should be used
+ * \param in memory buffer with the encoded public key
+ * \param len length of the encoded public key
+ * \return EC_KEY object with decoded public key or NULL if an error
+ * occurred.
+ */
+EC_KEY *o2i_ECPublicKey(EC_KEY **key, const unsigned char **in, long len);
+
+/** Encodes a ec public key in an octet string.
+ * \param key the EC_KEY object with the public key
+ * \param out the buffer for the result (if NULL the function returns number
+ * of bytes needed).
+ * \return 1 on success and 0 if an error occurred
+ */
+int i2o_ECPublicKey(EC_KEY *key, unsigned char **out);
#ifndef OPENSSL_NO_BIO
-int ECParameters_print(BIO *bp, const EC_KEY *x);
-int EC_KEY_print(BIO *bp, const EC_KEY *x, int off);
+/** 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
-int ECParameters_print_fp(FILE *fp, const EC_KEY *x);
-int EC_KEY_print_fp(FILE *fp, const EC_KEY *x, int off);
+/** 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)
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