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diff --git a/external/crypto++-5.6.3/modarith.h b/external/crypto++-5.6.3/modarith.h
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+// modarith.h - written and placed in the public domain by Wei Dai
+
+//! \file modarith.h
+//! \brief Class file for performing modular arithmetic.
+
+#ifndef CRYPTOPP_MODARITH_H
+#define CRYPTOPP_MODARITH_H
+
+// implementations are in integer.cpp
+
+#include "cryptlib.h"
+#include "integer.h"
+#include "algebra.h"
+#include "secblock.h"
+#include "misc.h"
+
+NAMESPACE_BEGIN(CryptoPP)
+
+CRYPTOPP_DLL_TEMPLATE_CLASS AbstractGroup<Integer>;
+CRYPTOPP_DLL_TEMPLATE_CLASS AbstractRing<Integer>;
+CRYPTOPP_DLL_TEMPLATE_CLASS AbstractEuclideanDomain<Integer>;
+
+//! \class ModularArithmetic
+//! \brief 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())
+		: AbstractRing<Integer>(), m_modulus(modulus), m_result((word)0, modulus.reg.size()) {}
+	ModularArithmetic(const ModularArithmetic &ma)
+		: AbstractRing<Integer>(), m_modulus(ma.m_modulus), m_result((word)0, ma.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
+	{
+		CRYPTOPP_UNUSED(ignore_for_now);
+		return Element(rng, Integer::Zero(), m_modulus - Integer::One()) ; 
+	}   
+
+	bool operator==(const ModularArithmetic &rhs) const
+		{return m_modulus == rhs.m_modulus;}
+
+	static const RandomizationParameter DefaultRandomizationParameter ;
+	
+#ifndef CRYPTOPP_MAINTAIN_BACKWARDS_COMPATIBILITY_562
+	virtual ~ModularArithmetic() {}
+#endif
+
+protected:
+	Integer m_modulus;
+	mutable Integer m_result, m_result1;
+
+};
+
+// const ModularArithmetic::RandomizationParameter ModularArithmetic::DefaultRandomizationParameter = 0 ;
+
+//! \class MontgomeryRepresentation
+//! \brief Performs modular arithmetic in Montgomery representation for increased speed
+//! \details The Montgomery representation represents each congruence class <tt>[a]</tt> as
+//!   <tt>a*r%n</tt>, 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);}
+
+#ifndef CRYPTOPP_MAINTAIN_BACKWARDS_COMPATIBILITY_562
+	virtual ~MontgomeryRepresentation() {}
+#endif
+
+private:
+	Integer m_u;
+	mutable IntegerSecBlock m_workspace;
+};
+
+NAMESPACE_END
+
+#endif