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Diffstat (limited to 'lib/cryptopp/modarith.h')
-rw-r--r-- | lib/cryptopp/modarith.h | 158 |
1 files changed, 158 insertions, 0 deletions
diff --git a/lib/cryptopp/modarith.h b/lib/cryptopp/modarith.h new file mode 100644 index 000000000..c0368e3fb --- /dev/null +++ b/lib/cryptopp/modarith.h @@ -0,0 +1,158 @@ +#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 |