ecp.h

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// ecp.h - originally written and placed in the public domain by Wei Dai
 
 
#ifndef CRYPTOPP_ECP_H
#define CRYPTOPP_ECP_H
 
#include "cryptlib.h"
#include "integer.h"
#include "algebra.h"
#include "modarith.h"
#include "ecpoint.h"
#include "eprecomp.h"
#include "smartptr.h"
#include "pubkey.h"
 
#if CRYPTOPP_MSC_VERSION
# pragma warning(push)
# pragma warning(disable: 4231 4275)
#endif
 
NAMESPACE_BEGIN(CryptoPP)
 
 
class CRYPTOPP_DLL ECP : public AbstractGroup<ECPPoint>, public EncodedPoint<ECPPoint>
{
public:
        typedef ModularArithmetic Field;
        typedef Integer FieldElement;
        typedef ECPPoint Point;
 
        virtual ~ECP() {}
 
        ECP() {}
 
        ECP(const ECP &ecp, bool convertToMontgomeryRepresentation);
 
        ECP(const Integer &modulus, const FieldElement &a, const FieldElement &b)
                : m_fieldPtr(new Field(modulus)), m_a(a.IsNegative() ? modulus+a : a), m_b(b) {}
 
        ECP(BufferedTransformation &bt);
 
        void DEREncode(BufferedTransformation &bt) const;
 
        bool Equal(const Point &P, const Point &Q) const;
 
        const Point& Identity() const;
        const Point& Inverse(const Point &P) const;
        bool InversionIsFast() const {return true;}
        const Point& Add(const Point &P, const Point &Q) const;
        const Point& Double(const Point &P) const;
        Point ScalarMultiply(const Point &P, const Integer &k) const;
        Point CascadeScalarMultiply(const Point &P, const Integer &k1, const Point &Q, const Integer &k2) const;
        void SimultaneousMultiply(Point *results, const Point &base, const Integer *exponents, unsigned int exponentsCount) const;
 
        Point Multiply(const Integer &k, const Point &P) const
                {return ScalarMultiply(P, k);}
        Point CascadeMultiply(const Integer &k1, const Point &P, const Integer &k2, const Point &Q) const
                {return CascadeScalarMultiply(P, k1, Q, k2);}
 
        bool ValidateParameters(RandomNumberGenerator &rng, unsigned int level=3) const;
        bool VerifyPoint(const Point &P) const;
 
        unsigned int EncodedPointSize(bool compressed = false) const
                {return 1 + (compressed?1:2)*GetField().MaxElementByteLength();}
        // returns false if point is compressed and not valid (doesn't check if uncompressed)
        bool DecodePoint(Point &P, BufferedTransformation &bt, size_t len) const;
        bool DecodePoint(Point &P, const byte *encodedPoint, size_t len) const;
        void EncodePoint(byte *encodedPoint, const Point &P, bool compressed) const;
        void EncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const;
 
        Point BERDecodePoint(BufferedTransformation &bt) const;
        void DEREncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const;
 
        Integer FieldSize() const {return GetField().GetModulus();}
        const Field & GetField() const {return *m_fieldPtr;}
        const FieldElement & GetA() const {return m_a;}
        const FieldElement & GetB() const {return m_b;}
 
        bool operator==(const ECP &rhs) const
                {return GetField() == rhs.GetField() && m_a == rhs.m_a && m_b == rhs.m_b;}
 
private:
        clonable_ptr<Field> m_fieldPtr;
        FieldElement m_a, m_b;
        mutable Point m_R;
};
 
CRYPTOPP_DLL_TEMPLATE_CLASS DL_FixedBasePrecomputationImpl<ECP::Point>;
CRYPTOPP_DLL_TEMPLATE_CLASS DL_GroupPrecomputation<ECP::Point>;
 
template <class EC> class EcPrecomputation;
 
template<> class EcPrecomputation<ECP> : public DL_GroupPrecomputation<ECP::Point>
{
public:
        typedef ECP EllipticCurve;
 
        virtual ~EcPrecomputation() {}
 
        // DL_GroupPrecomputation
        bool NeedConversions() const {return true;}
        Element ConvertIn(const Element &P) const
                {return P.identity ? P : ECP::Point(m_ec->GetField().ConvertIn(P.x), m_ec->GetField().ConvertIn(P.y));};
        Element ConvertOut(const Element &P) const
                {return P.identity ? P : ECP::Point(m_ec->GetField().ConvertOut(P.x), m_ec->GetField().ConvertOut(P.y));}
        const AbstractGroup<Element> & GetGroup() const {return *m_ec;}
        Element BERDecodeElement(BufferedTransformation &bt) const {return m_ec->BERDecodePoint(bt);}
        void DEREncodeElement(BufferedTransformation &bt, const Element &v) const {m_ec->DEREncodePoint(bt, v, false);}
 
        void SetCurve(const ECP &ec)
        {
                m_ec.reset(new ECP(ec, true));
                m_ecOriginal = ec;
        }
 
        const ECP & GetCurve() const {return *m_ecOriginal;}
 
private:
        value_ptr<ECP> m_ec, m_ecOriginal;
};
 
NAMESPACE_END
 
#if CRYPTOPP_MSC_VERSION
# pragma warning(pop)
#endif
 
#endif