1 files changed, 0 insertions, 473 deletions
diff --git a/lib/cryptopp/ecp.cpp b/lib/cryptopp/ecp.cpp
deleted file mode 100644
index 55a7cc15b..000000000
--- a/lib/cryptopp/ecp.cpp
+++ /dev/null
@@ -1,473 +0,0 @@
-// ecp.cpp - written and placed in the public domain by Wei Dai
-
-#include "pch.h"
-
-#ifndef CRYPTOPP_IMPORTS
-
-#include "ecp.h"
-#include "asn.h"
-#include "nbtheory.h"
-
-#include "algebra.cpp"
-
-NAMESPACE_BEGIN(CryptoPP)
-
-ANONYMOUS_NAMESPACE_BEGIN
-static inline ECP::Point ToMontgomery(const ModularArithmetic &mr, const ECP::Point &P)
-{
-	return P.identity ? P : ECP::Point(mr.ConvertIn(P.x), mr.ConvertIn(P.y));
-}
-
-static inline ECP::Point FromMontgomery(const ModularArithmetic &mr, const ECP::Point &P)
-{
-	return P.identity ? P : ECP::Point(mr.ConvertOut(P.x), mr.ConvertOut(P.y));
-}
-NAMESPACE_END
-
-ECP::ECP(const ECP &ecp, bool convertToMontgomeryRepresentation)
-{
-	if (convertToMontgomeryRepresentation && !ecp.GetField().IsMontgomeryRepresentation())
-	{
-		m_fieldPtr.reset(new MontgomeryRepresentation(ecp.GetField().GetModulus()));
-		m_a = GetField().ConvertIn(ecp.m_a);
-		m_b = GetField().ConvertIn(ecp.m_b);
-	}
-	else
-		operator=(ecp);
-}
-
-ECP::ECP(BufferedTransformation &bt)
-	: m_fieldPtr(new Field(bt))
-{
-	BERSequenceDecoder seq(bt);
-	GetField().BERDecodeElement(seq, m_a);
-	GetField().BERDecodeElement(seq, m_b);
-	// skip optional seed
-	if (!seq.EndReached())
-	{
-		SecByteBlock seed;
-		unsigned int unused;
-		BERDecodeBitString(seq, seed, unused);
-	}
-	seq.MessageEnd();
-}
-
-void ECP::DEREncode(BufferedTransformation &bt) const
-{
-	GetField().DEREncode(bt);
-	DERSequenceEncoder seq(bt);
-	GetField().DEREncodeElement(seq, m_a);
-	GetField().DEREncodeElement(seq, m_b);
-	seq.MessageEnd();
-}
-
-bool ECP::DecodePoint(ECP::Point &P, const byte *encodedPoint, size_t encodedPointLen) const
-{
-	StringStore store(encodedPoint, encodedPointLen);
-	return DecodePoint(P, store, encodedPointLen);
-}
-
-bool ECP::DecodePoint(ECP::Point &P, BufferedTransformation &bt, size_t encodedPointLen) const
-{
-	byte type;
-	if (encodedPointLen < 1 || !bt.Get(type))
-		return false;
-
-	switch (type)
-	{
-	case 0:
-		P.identity = true;
-		return true;
-	case 2:
-	case 3:
-	{
-		if (encodedPointLen != EncodedPointSize(true))
-			return false;
-
-		Integer p = FieldSize();
-
-		P.identity = false;
-		P.x.Decode(bt, GetField().MaxElementByteLength()); 
-		P.y = ((P.x*P.x+m_a)*P.x+m_b) % p;
-
-		if (Jacobi(P.y, p) !=1)
-			return false;
-
-		P.y = ModularSquareRoot(P.y, p);
-
-		if ((type & 1) != P.y.GetBit(0))
-			P.y = p-P.y;
-
-		return true;
-	}
-	case 4:
-	{
-		if (encodedPointLen != EncodedPointSize(false))
-			return false;
-
-		unsigned int len = GetField().MaxElementByteLength();
-		P.identity = false;
-		P.x.Decode(bt, len);
-		P.y.Decode(bt, len);
-		return true;
-	}
-	default:
-		return false;
-	}
-}
-
-void ECP::EncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const
-{
-	if (P.identity)
-		NullStore().TransferTo(bt, EncodedPointSize(compressed));
-	else if (compressed)
-	{
-		bt.Put(2 + P.y.GetBit(0));
-		P.x.Encode(bt, GetField().MaxElementByteLength());
-	}
-	else
-	{
-		unsigned int len = GetField().MaxElementByteLength();
-		bt.Put(4);	// uncompressed
-		P.x.Encode(bt, len);
-		P.y.Encode(bt, len);
-	}
-}
-
-void ECP::EncodePoint(byte *encodedPoint, const Point &P, bool compressed) const
-{
-	ArraySink sink(encodedPoint, EncodedPointSize(compressed));
-	EncodePoint(sink, P, compressed);
-	assert(sink.TotalPutLength() == EncodedPointSize(compressed));
-}
-
-ECP::Point ECP::BERDecodePoint(BufferedTransformation &bt) const
-{
-	SecByteBlock str;
-	BERDecodeOctetString(bt, str);
-	Point P;
-	if (!DecodePoint(P, str, str.size()))
-		BERDecodeError();
-	return P;
-}
-
-void ECP::DEREncodePoint(BufferedTransformation &bt, const Point &P, bool compressed) const
-{
-	SecByteBlock str(EncodedPointSize(compressed));
-	EncodePoint(str, P, compressed);
-	DEREncodeOctetString(bt, str);
-}
-
-bool ECP::ValidateParameters(RandomNumberGenerator &rng, unsigned int level) const
-{
-	Integer p = FieldSize();
-
-	bool pass = p.IsOdd();
-	pass = pass && !m_a.IsNegative() && m_a<p && !m_b.IsNegative() && m_b<p;
-
-	if (level >= 1)
-		pass = pass && ((4*m_a*m_a*m_a+27*m_b*m_b)%p).IsPositive();
-
-	if (level >= 2)
-		pass = pass && VerifyPrime(rng, p);
-
-	return pass;
-}
-
-bool ECP::VerifyPoint(const Point &P) const
-{
-	const FieldElement &x = P.x, &y = P.y;
-	Integer p = FieldSize();
-	return P.identity ||
-		(!x.IsNegative() && x<p && !y.IsNegative() && y<p
-		&& !(((x*x+m_a)*x+m_b-y*y)%p));
-}
-
-bool ECP::Equal(const Point &P, const Point &Q) const
-{
-	if (P.identity && Q.identity)
-		return true;
-
-	if (P.identity && !Q.identity)
-		return false;
-
-	if (!P.identity && Q.identity)
-		return false;
-
-	return (GetField().Equal(P.x,Q.x) && GetField().Equal(P.y,Q.y));
-}
-
-const ECP::Point& ECP::Identity() const
-{
-	return Singleton<Point>().Ref();
-}
-
-const ECP::Point& ECP::Inverse(const Point &P) const
-{
-	if (P.identity)
-		return P;
-	else
-	{
-		m_R.identity = false;
-		m_R.x = P.x;
-		m_R.y = GetField().Inverse(P.y);
-		return m_R;
-	}
-}
-
-const ECP::Point& ECP::Add(const Point &P, const Point &Q) const
-{
-	if (P.identity) return Q;
-	if (Q.identity) return P;
-	if (GetField().Equal(P.x, Q.x))
-		return GetField().Equal(P.y, Q.y) ? Double(P) : Identity();
-
-	FieldElement t = GetField().Subtract(Q.y, P.y);
-	t = GetField().Divide(t, GetField().Subtract(Q.x, P.x));
-	FieldElement x = GetField().Subtract(GetField().Subtract(GetField().Square(t), P.x), Q.x);
-	m_R.y = GetField().Subtract(GetField().Multiply(t, GetField().Subtract(P.x, x)), P.y);
-
-	m_R.x.swap(x);
-	m_R.identity = false;
-	return m_R;
-}
-
-const ECP::Point& ECP::Double(const Point &P) const
-{
-	if (P.identity || P.y==GetField().Identity()) return Identity();
-
-	FieldElement t = GetField().Square(P.x);
-	t = GetField().Add(GetField().Add(GetField().Double(t), t), m_a);
-	t = GetField().Divide(t, GetField().Double(P.y));
-	FieldElement x = GetField().Subtract(GetField().Subtract(GetField().Square(t), P.x), P.x);
-	m_R.y = GetField().Subtract(GetField().Multiply(t, GetField().Subtract(P.x, x)), P.y);
-
-	m_R.x.swap(x);
-	m_R.identity = false;
-	return m_R;
-}
-
-template <class T, class Iterator> void ParallelInvert(const AbstractRing<T> &ring, Iterator begin, Iterator end)
-{
-	size_t n = end-begin;
-	if (n == 1)
-		*begin = ring.MultiplicativeInverse(*begin);
-	else if (n > 1)
-	{
-		std::vector<T> vec((n+1)/2);
-		unsigned int i;
-		Iterator it;
-
-		for (i=0, it=begin; i<n/2; i++, it+=2)
-			vec[i] = ring.Multiply(*it, *(it+1));
-		if (n%2 == 1)
-			vec[n/2] = *it;
-
-		ParallelInvert(ring, vec.begin(), vec.end());
-
-		for (i=0, it=begin; i<n/2; i++, it+=2)
-		{
-			if (!vec[i])
-			{
-				*it = ring.MultiplicativeInverse(*it);
-				*(it+1) = ring.MultiplicativeInverse(*(it+1));
-			}
-			else
-			{
-				std::swap(*it, *(it+1));
-				*it = ring.Multiply(*it, vec[i]);
-				*(it+1) = ring.Multiply(*(it+1), vec[i]);
-			}
-		}
-		if (n%2 == 1)
-			*it = vec[n/2];
-	}
-}
-
-struct ProjectivePoint
-{
-	ProjectivePoint() {}
-	ProjectivePoint(const Integer &x, const Integer &y, const Integer &z)
-		: x(x), y(y), z(z)	{}
-
-	Integer x,y,z;
-};
-
-class ProjectiveDoubling
-{
-public:
-	ProjectiveDoubling(const ModularArithmetic &mr, const Integer &m_a, const Integer &m_b, const ECPPoint &Q)
-		: mr(mr), firstDoubling(true), negated(false)
-	{
-		if (Q.identity)
-		{
-			sixteenY4 = P.x = P.y = mr.MultiplicativeIdentity();
-			aZ4 = P.z = mr.Identity();
-		}
-		else
-		{
-			P.x = Q.x;
-			P.y = Q.y;
-			sixteenY4 = P.z = mr.MultiplicativeIdentity();
-			aZ4 = m_a;
-		}
-	}
-
-	void Double()
-	{
-		twoY = mr.Double(P.y);
-		P.z = mr.Multiply(P.z, twoY);
-		fourY2 = mr.Square(twoY);
-		S = mr.Multiply(fourY2, P.x);
-		aZ4 = mr.Multiply(aZ4, sixteenY4);
-		M = mr.Square(P.x);
-		M = mr.Add(mr.Add(mr.Double(M), M), aZ4);
-		P.x = mr.Square(M);
-		mr.Reduce(P.x, S);
-		mr.Reduce(P.x, S);
-		mr.Reduce(S, P.x);
-		P.y = mr.Multiply(M, S);
-		sixteenY4 = mr.Square(fourY2);
-		mr.Reduce(P.y, mr.Half(sixteenY4));
-	}
-
-	const ModularArithmetic &mr;
-	ProjectivePoint P;
-	bool firstDoubling, negated;
-	Integer sixteenY4, aZ4, twoY, fourY2, S, M;
-};
-
-struct ZIterator
-{
-	ZIterator() {}
-	ZIterator(std::vector<ProjectivePoint>::iterator it) : it(it) {}
-	Integer& operator*() {return it->z;}
-	int operator-(ZIterator it2) {return int(it-it2.it);}
-	ZIterator operator+(int i) {return ZIterator(it+i);}
-	ZIterator& operator+=(int i) {it+=i; return *this;}
-	std::vector<ProjectivePoint>::iterator it;
-};
-
-ECP::Point ECP::ScalarMultiply(const Point &P, const Integer &k) const
-{
-	Element result;
-	if (k.BitCount() <= 5)
-		AbstractGroup<ECPPoint>::SimultaneousMultiply(&result, P, &k, 1);
-	else
-		ECP::SimultaneousMultiply(&result, P, &k, 1);
-	return result;
-}
-
-void ECP::SimultaneousMultiply(ECP::Point *results, const ECP::Point &P, const Integer *expBegin, unsigned int expCount) const
-{
-	if (!GetField().IsMontgomeryRepresentation())
-	{
-		ECP ecpmr(*this, true);
-		const ModularArithmetic &mr = ecpmr.GetField();
-		ecpmr.SimultaneousMultiply(results, ToMontgomery(mr, P), expBegin, expCount);
-		for (unsigned int i=0; i<expCount; i++)
-			results[i] = FromMontgomery(mr, results[i]);
-		return;
-	}
-
-	ProjectiveDoubling rd(GetField(), m_a, m_b, P);
-	std::vector<ProjectivePoint> bases;
-	std::vector<WindowSlider> exponents;
-	exponents.reserve(expCount);
-	std::vector<std::vector<word32> > baseIndices(expCount);
-	std::vector<std::vector<bool> > negateBase(expCount);
-	std::vector<std::vector<word32> > exponentWindows(expCount);
-	unsigned int i;
-
-	for (i=0; i<expCount; i++)
-	{
-		assert(expBegin->NotNegative());
-		exponents.push_back(WindowSlider(*expBegin++, InversionIsFast(), 5));
-		exponents[i].FindNextWindow();
-	}
-
-	unsigned int expBitPosition = 0;
-	bool notDone = true;
-
-	while (notDone)
-	{
-		notDone = false;
-		bool baseAdded = false;
-		for (i=0; i<expCount; i++)
-		{
-			if (!exponents[i].finished && expBitPosition == exponents[i].windowBegin)
-			{
-				if (!baseAdded)
-				{
-					bases.push_back(rd.P);
-					baseAdded =true;
-				}
-
-				exponentWindows[i].push_back(exponents[i].expWindow);
-				baseIndices[i].push_back((word32)bases.size()-1);
-				negateBase[i].push_back(exponents[i].negateNext);
-
-				exponents[i].FindNextWindow();
-			}
-			notDone = notDone || !exponents[i].finished;
-		}
-
-		if (notDone)
-		{
-			rd.Double();
-			expBitPosition++;
-		}
-	}
-
-	// convert from projective to affine coordinates
-	ParallelInvert(GetField(), ZIterator(bases.begin()), ZIterator(bases.end()));
-	for (i=0; i<bases.size(); i++)
-	{
-		if (bases[i].z.NotZero())
-		{
-			bases[i].y = GetField().Multiply(bases[i].y, bases[i].z);
-			bases[i].z = GetField().Square(bases[i].z);
-			bases[i].x = GetField().Multiply(bases[i].x, bases[i].z);
-			bases[i].y = GetField().Multiply(bases[i].y, bases[i].z);
-		}
-	}
-
-	std::vector<BaseAndExponent<Point, Integer> > finalCascade;
-	for (i=0; i<expCount; i++)
-	{
-		finalCascade.resize(baseIndices[i].size());
-		for (unsigned int j=0; j<baseIndices[i].size(); j++)
-		{
-			ProjectivePoint &base = bases[baseIndices[i][j]];
-			if (base.z.IsZero())
-				finalCascade[j].base.identity = true;
-			else
-			{
-				finalCascade[j].base.identity = false;
-				finalCascade[j].base.x = base.x;
-				if (negateBase[i][j])
-					finalCascade[j].base.y = GetField().Inverse(base.y);
-				else
-					finalCascade[j].base.y = base.y;
-			}
-			finalCascade[j].exponent = Integer(Integer::POSITIVE, 0, exponentWindows[i][j]);
-		}
-		results[i] = GeneralCascadeMultiplication(*this, finalCascade.begin(), finalCascade.end());
-	}
-}
-
-ECP::Point ECP::CascadeScalarMultiply(const Point &P, const Integer &k1, const Point &Q, const Integer &k2) const
-{
-	if (!GetField().IsMontgomeryRepresentation())
-	{
-		ECP ecpmr(*this, true);
-		const ModularArithmetic &mr = ecpmr.GetField();
-		return FromMontgomery(mr, ecpmr.CascadeScalarMultiply(ToMontgomery(mr, P), k1, ToMontgomery(mr, Q), k2));
-	}
-	else
-		return AbstractGroup<Point>::CascadeScalarMultiply(P, k1, Q, k2);
-}
-
-NAMESPACE_END
-
-#endif