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-rw-r--r--lib/cryptopp/modarith.h158
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diff --git a/lib/cryptopp/modarith.h b/lib/cryptopp/modarith.h
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-#ifndef CRYPTOPP_MODARITH_H
-#define CRYPTOPP_MODARITH_H
-
-// implementations are in integer.cpp
-
-#include "cryptlib.h"
-#include "misc.h"
-#include "integer.h"
-#include "algebra.h"
-
-NAMESPACE_BEGIN(CryptoPP)
-
-CRYPTOPP_DLL_TEMPLATE_CLASS AbstractGroup<Integer>;
-CRYPTOPP_DLL_TEMPLATE_CLASS AbstractRing<Integer>;
-CRYPTOPP_DLL_TEMPLATE_CLASS AbstractEuclideanDomain<Integer>;
-
-//! ring of congruence classes modulo n
-/*! \note this implementation represents each congruence class as the smallest non-negative integer in that class */
-class CRYPTOPP_DLL ModularArithmetic : public AbstractRing<Integer>
-{
-public:
-
- typedef int RandomizationParameter;
- typedef Integer Element;
-
- ModularArithmetic(const Integer &modulus = Integer::One())
- : m_modulus(modulus), m_result((word)0, modulus.reg.size()) {}
-
- ModularArithmetic(const ModularArithmetic &ma)
- : m_modulus(ma.m_modulus), m_result((word)0, m_modulus.reg.size()) {}
-
- ModularArithmetic(BufferedTransformation &bt); // construct from BER encoded parameters
-
- virtual ModularArithmetic * Clone() const {return new ModularArithmetic(*this);}
-
- void DEREncode(BufferedTransformation &bt) const;
-
- void DEREncodeElement(BufferedTransformation &out, const Element &a) const;
- void BERDecodeElement(BufferedTransformation &in, Element &a) const;
-
- const Integer& GetModulus() const {return m_modulus;}
- void SetModulus(const Integer &newModulus) {m_modulus = newModulus; m_result.reg.resize(m_modulus.reg.size());}
-
- virtual bool IsMontgomeryRepresentation() const {return false;}
-
- virtual Integer ConvertIn(const Integer &a) const
- {return a%m_modulus;}
-
- virtual Integer ConvertOut(const Integer &a) const
- {return a;}
-
- const Integer& Half(const Integer &a) const;
-
- bool Equal(const Integer &a, const Integer &b) const
- {return a==b;}
-
- const Integer& Identity() const
- {return Integer::Zero();}
-
- const Integer& Add(const Integer &a, const Integer &b) const;
-
- Integer& Accumulate(Integer &a, const Integer &b) const;
-
- const Integer& Inverse(const Integer &a) const;
-
- const Integer& Subtract(const Integer &a, const Integer &b) const;
-
- Integer& Reduce(Integer &a, const Integer &b) const;
-
- const Integer& Double(const Integer &a) const
- {return Add(a, a);}
-
- const Integer& MultiplicativeIdentity() const
- {return Integer::One();}
-
- const Integer& Multiply(const Integer &a, const Integer &b) const
- {return m_result1 = a*b%m_modulus;}
-
- const Integer& Square(const Integer &a) const
- {return m_result1 = a.Squared()%m_modulus;}
-
- bool IsUnit(const Integer &a) const
- {return Integer::Gcd(a, m_modulus).IsUnit();}
-
- const Integer& MultiplicativeInverse(const Integer &a) const
- {return m_result1 = a.InverseMod(m_modulus);}
-
- const Integer& Divide(const Integer &a, const Integer &b) const
- {return Multiply(a, MultiplicativeInverse(b));}
-
- Integer CascadeExponentiate(const Integer &x, const Integer &e1, const Integer &y, const Integer &e2) const;
-
- void SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const;
-
- unsigned int MaxElementBitLength() const
- {return (m_modulus-1).BitCount();}
-
- unsigned int MaxElementByteLength() const
- {return (m_modulus-1).ByteCount();}
-
- Element RandomElement( RandomNumberGenerator &rng , const RandomizationParameter &ignore_for_now = 0 ) const
- // left RandomizationParameter arg as ref in case RandomizationParameter becomes a more complicated struct
- {
- return Element( rng , Integer( (long) 0) , m_modulus - Integer( (long) 1 ) ) ;
- }
-
- bool operator==(const ModularArithmetic &rhs) const
- {return m_modulus == rhs.m_modulus;}
-
- static const RandomizationParameter DefaultRandomizationParameter ;
-
-protected:
- Integer m_modulus;
- mutable Integer m_result, m_result1;
-
-};
-
-// const ModularArithmetic::RandomizationParameter ModularArithmetic::DefaultRandomizationParameter = 0 ;
-
-//! do modular arithmetics in Montgomery representation for increased speed
-/*! \note the Montgomery representation represents each congruence class [a] as a*r%n, where r is a convenient power of 2 */
-class CRYPTOPP_DLL MontgomeryRepresentation : public ModularArithmetic
-{
-public:
- MontgomeryRepresentation(const Integer &modulus); // modulus must be odd
-
- virtual ModularArithmetic * Clone() const {return new MontgomeryRepresentation(*this);}
-
- bool IsMontgomeryRepresentation() const {return true;}
-
- Integer ConvertIn(const Integer &a) const
- {return (a<<(WORD_BITS*m_modulus.reg.size()))%m_modulus;}
-
- Integer ConvertOut(const Integer &a) const;
-
- const Integer& MultiplicativeIdentity() const
- {return m_result1 = Integer::Power2(WORD_BITS*m_modulus.reg.size())%m_modulus;}
-
- const Integer& Multiply(const Integer &a, const Integer &b) const;
-
- const Integer& Square(const Integer &a) const;
-
- const Integer& MultiplicativeInverse(const Integer &a) const;
-
- Integer CascadeExponentiate(const Integer &x, const Integer &e1, const Integer &y, const Integer &e2) const
- {return AbstractRing<Integer>::CascadeExponentiate(x, e1, y, e2);}
-
- void SimultaneousExponentiate(Element *results, const Element &base, const Integer *exponents, unsigned int exponentsCount) const
- {AbstractRing<Integer>::SimultaneousExponentiate(results, base, exponents, exponentsCount);}
-
-private:
- Integer m_u;
- mutable IntegerSecBlock m_workspace;
-};
-
-NAMESPACE_END
-
-#endif