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BasicAdmin2 - Personal Finance Software

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4 Nov 2011CPOL3 min read 39K   5.9K   33  
Utility to keep track of your finances
// esign.cpp - written and placed in the public domain by Wei Dai

#include "pch.h"
#include "esign.h"
#include "asn.h"
#include "modarith.h"
#include "nbtheory.h"
#include "sha.h"
#include "algparam.h"

NAMESPACE_BEGIN(CryptoPP)

void ESIGN_TestInstantiations()
{
	ESIGN<SHA>::Verifier x1(1, 1);
	ESIGN<SHA>::Signer x2(NullRNG(), 1);
	ESIGN<SHA>::Verifier x3(x2);
	ESIGN<SHA>::Verifier x4(x2.GetKey());
	ESIGN<SHA>::Verifier x5(x3);
	ESIGN<SHA>::Signer x6 = x2;

	x6 = x2;
	x3 = ESIGN<SHA>::Verifier(x2);
	x4 = x2.GetKey();
}

void ESIGNFunction::BERDecode(BufferedTransformation &bt)
{
	BERSequenceDecoder seq(bt);
		m_n.BERDecode(seq);
		m_e.BERDecode(seq);
	seq.MessageEnd();
}

void ESIGNFunction::DEREncode(BufferedTransformation &bt) const
{
	DERSequenceEncoder seq(bt);
		m_n.DEREncode(seq);
		m_e.DEREncode(seq);
	seq.MessageEnd();
}

Integer ESIGNFunction::ApplyFunction(const Integer &x) const
{
	DoQuickSanityCheck();
	return STDMIN(a_exp_b_mod_c(x, m_e, m_n) >> (2*GetK()+2), MaxImage());
}

bool ESIGNFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
{
	bool pass = true;
	pass = pass && m_n > Integer::One() && m_n.IsOdd();
	pass = pass && m_e >= 8 && m_e < m_n;
	return pass;
}

bool ESIGNFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
{
	return GetValueHelper(this, name, valueType, pValue).Assignable()
		CRYPTOPP_GET_FUNCTION_ENTRY(Modulus)
		CRYPTOPP_GET_FUNCTION_ENTRY(PublicExponent)
		;
}

void ESIGNFunction::AssignFrom(const NameValuePairs &source)
{
	AssignFromHelper(this, source)
		CRYPTOPP_SET_FUNCTION_ENTRY(Modulus)
		CRYPTOPP_SET_FUNCTION_ENTRY(PublicExponent)
		;
}

// *****************************************************************************

void InvertibleESIGNFunction::GenerateRandom(RandomNumberGenerator &rng, const NameValuePairs &param)
{
	int modulusSize = 1023*2;
	param.GetIntValue("ModulusSize", modulusSize) || param.GetIntValue("KeySize", modulusSize);

	if (modulusSize < 24)
		throw InvalidArgument("InvertibleESIGNFunction: specified modulus size is too small");

	if (modulusSize % 3 != 0)
		throw InvalidArgument("InvertibleESIGNFunction: modulus size must be divisible by 3");

	m_e = param.GetValueWithDefault("PublicExponent", Integer(32));

	if (m_e < 8)
		throw InvalidArgument("InvertibleESIGNFunction: public exponents less than 8 may not be secure");

	// VC70 workaround: putting these after primeParam causes overlapped stack allocation
	ConstByteArrayParameter seedParam;
	SecByteBlock seed;

	const Integer minP = Integer(204) << (modulusSize/3-8);
	const Integer maxP = Integer::Power2(modulusSize/3)-1;
	AlgorithmParameters primeParam = MakeParameters("Min", minP)("Max", maxP)("RandomNumberType", Integer::PRIME);

	if (param.GetValue("Seed", seedParam))
	{
		seed.resize(seedParam.size() + 4);
		memcpy(seed + 4, seedParam.begin(), seedParam.size());

		PutWord(false, BIG_ENDIAN_ORDER, seed, (word32)0);
		m_p.GenerateRandom(rng, CombinedNameValuePairs(primeParam, MakeParameters("Seed", ConstByteArrayParameter(seed))));
		PutWord(false, BIG_ENDIAN_ORDER, seed, (word32)1);
		m_q.GenerateRandom(rng, CombinedNameValuePairs(primeParam, MakeParameters("Seed", ConstByteArrayParameter(seed))));
	}
	else
	{
		m_p.GenerateRandom(rng, primeParam);
		m_q.GenerateRandom(rng, primeParam);
	}

	m_n = m_p * m_p * m_q;

	assert(m_n.BitCount() == modulusSize);
}

void InvertibleESIGNFunction::BERDecode(BufferedTransformation &bt)
{
	BERSequenceDecoder privateKey(bt);
		m_n.BERDecode(privateKey);
		m_e.BERDecode(privateKey);
		m_p.BERDecode(privateKey);
		m_q.BERDecode(privateKey);
	privateKey.MessageEnd();
}

void InvertibleESIGNFunction::DEREncode(BufferedTransformation &bt) const
{
	DERSequenceEncoder privateKey(bt);
		m_n.DEREncode(privateKey);
		m_e.DEREncode(privateKey);
		m_p.DEREncode(privateKey);
		m_q.DEREncode(privateKey);
	privateKey.MessageEnd();
}

Integer InvertibleESIGNFunction::CalculateRandomizedInverse(RandomNumberGenerator &rng, const Integer &x) const 
{
	DoQuickSanityCheck();

	Integer pq = m_p * m_q;
	Integer p2 = m_p * m_p;
	Integer r, z, re, a, w0, w1;

	do
	{
		r.Randomize(rng, Integer::Zero(), pq);
		z = x << (2*GetK()+2);
		re = a_exp_b_mod_c(r, m_e, m_n);
		a = (z - re) % m_n;
		Integer::Divide(w1, w0, a, pq);
		if (w1.NotZero())
		{
			++w0;
			w1 = pq - w1;
		}
	}
	while ((w1 >> 2*GetK()+1).IsPositive());

	ModularArithmetic modp(m_p);
	Integer t = modp.Divide(w0 * r % m_p, m_e * re % m_p);
	Integer s = r + t*pq;
	assert(s < m_n);
/*
	using namespace std;
	cout << "f = " << x << endl;
	cout << "r = " << r << endl;
	cout << "z = " << z << endl;
	cout << "a = " << a << endl;
	cout << "w0 = " << w0 << endl;
	cout << "w1 = " << w1 << endl;
	cout << "t = " << t << endl;
	cout << "s = " << s << endl;
*/
	return s;
}

bool InvertibleESIGNFunction::Validate(RandomNumberGenerator &rng, unsigned int level) const
{
	bool pass = ESIGNFunction::Validate(rng, level);
	pass = pass && m_p > Integer::One() && m_p.IsOdd() && m_p < m_n;
	pass = pass && m_q > Integer::One() && m_q.IsOdd() && m_q < m_n;
	pass = pass && m_p.BitCount() == m_q.BitCount();
	if (level >= 1)
		pass = pass && m_p * m_p * m_q == m_n;
	if (level >= 2)
		pass = pass && VerifyPrime(rng, m_p, level-2) && VerifyPrime(rng, m_q, level-2);
	return pass;
}

bool InvertibleESIGNFunction::GetVoidValue(const char *name, const std::type_info &valueType, void *pValue) const
{
	return GetValueHelper<ESIGNFunction>(this, name, valueType, pValue).Assignable()
		CRYPTOPP_GET_FUNCTION_ENTRY(Prime1)
		CRYPTOPP_GET_FUNCTION_ENTRY(Prime2)
		;
}

void InvertibleESIGNFunction::AssignFrom(const NameValuePairs &source)
{
	AssignFromHelper<ESIGNFunction>(this, source)
		CRYPTOPP_SET_FUNCTION_ENTRY(Prime1)
		CRYPTOPP_SET_FUNCTION_ENTRY(Prime2)
		;
}

NAMESPACE_END

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This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)


Written By
Software Developer
Argentina Argentina
System developer from Argentina.

Programmed in VB 5,6,.NET, C#, Java, PL-SQL, Transac-SQL, C, C++ and even some "calculator" language.

Love to build small, useful applications.
Usually building big and complicated apps based on solid, reliable components.

Hobbies: reading, photography, chess, paddle, running.

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