/* * Elliptic curves over GF(p) * * (C) 2007 Martin Doering, Christoph Ludwig, Falko Strenzke * * Distributed under the terms of the Botan license */ #ifndef BOTAN_GFP_CURVE_H__ #define BOTAN_GFP_CURVE_H__ #include #include #include namespace Botan { /** * This class represents an elliptic curve over GF(p) */ class BOTAN_DLL CurveGFp { public: /** * Construct the elliptic curve E: y^2 = x^3 + ax + b over GF(p) * @param a first coefficient * @param b second coefficient * @param p prime number of the field */ CurveGFp(const GFpElement& a, const GFpElement& b, const BigInt& p); /** * Copy constructor * @param other The curve to clone */ CurveGFp(const CurveGFp& other); /** * Assignment operator * @param other The curve to use as source for the assignment */ const CurveGFp& operator=(const CurveGFp& other); /** * Set the shared GFpModulus object. * Warning: do not use this function unless you know in detail how * the sharing of values * in the various EC related objects works. * Do NOT spread pointers to a GFpModulus over different threads! * @param mod a shared pointer to a GFpModulus object suitable for * *this. */ void set_shrd_mod(const std::shared_ptr mod); // getters /** * Get coefficient a * @result coefficient a */ const GFpElement& get_a() const; /** * Get coefficient b * @result coefficient b */ const GFpElement& get_b() const; /** * Get the GFpElement coefficient a transformed * to its m-residue. This can be used for efficency reasons: the curve * stores the transformed version after the first invocation of this * function. * @result the coefficient a, transformed to its m-residue */ GFpElement const get_mres_a() const; /** * Get the GFpElement coefficient b transformed * to its m-residue. This can be used for efficency reasons: the curve * stores the transformed version after the first invocation of this * function. * @result the coefficient b, transformed to its m-residue */ GFpElement const get_mres_b() const; /** * Get the GFpElement 1 transformed * to its m-residue. This can be used for efficency reasons: the curve * stores the transformed version after the first invocation of this * function. * @result the GFpElement 1, transformed to its m-residue */ std::shared_ptr const get_mres_one() const; /** * Get prime modulus of the field of the curve * @result prime modulus of the field of the curve */ BigInt const get_p() const; /*inline std::shared_ptr const get_ptr_p() const { return mp_p; }*/ /** * Retrieve a shared pointer to the curves GFpModulus object for * efficient storage and computation of montgomery multiplication * related data members and functions. Warning: do not use this * function unless you know in detail how the sharing of values * in the various EC related objects works. Do NOT spread * pointers to a GFpModulus over different threads! * @result a shared pointer to a GFpModulus object */ inline std::shared_ptr const get_ptr_mod() const { return mp_mod; } /** * swaps the states of *this and other, does not throw * @param other The curve to swap values with */ void swap(CurveGFp& other); private: std::shared_ptr mp_mod; GFpElement mA; GFpElement mB; mutable std::shared_ptr mp_mres_a; mutable std::shared_ptr mp_mres_b; mutable std::shared_ptr mp_mres_one; }; // relational operators bool operator==(const CurveGFp& lhs, const CurveGFp& rhs); inline bool operator!=(const CurveGFp& lhs, const CurveGFp& rhs) { return !(lhs == rhs); } // io operators std::ostream& operator<<(std::ostream& output, const CurveGFp& elem); // swaps the states of curve1 and curve2, does not throw! // cf. Meyers, Item 25 inline void swap(CurveGFp& curve1, CurveGFp& curve2) { curve1.swap(curve2); } } // namespace Botan namespace std { // swaps the states of curve1 and curve2, does not throw! // cf. Meyers, Item 25 template<> inline void swap(Botan::CurveGFp& curve1, Botan::CurveGFp& curve2) { curve1.swap(curve2); } } // namespace std #endif