crypto/weakcrypto/source/bigint/mont.cpp
author Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
Tue, 31 Aug 2010 17:00:08 +0300
branchRCL_3
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/*
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* Copyright (c) 2003-2009 Nokia Corporation and/or its subsidiary(-ies).
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* All rights reserved.
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* This component and the accompanying materials are made available
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* under the terms of the License "Eclipse Public License v1.0"
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* which accompanies this distribution, and is available
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* at the URL "http://www.eclipse.org/legal/epl-v10.html".
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*
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* Initial Contributors:
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* Nokia Corporation - initial contribution.
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*
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* Contributors:
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*
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* Description: 
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*
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*/
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#include <bigint.h>
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#include <euserext.h>
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#include "algorithms.h"
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#include "words.h"
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#include "windowslider.h"
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#include "mont.h"
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CMontgomeryStructure* CMontgomeryStructure::NewL(
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	const TInteger& aModulus)
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	{
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	CMontgomeryStructure* self = CMontgomeryStructure::NewLC(aModulus);
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	CleanupStack::Pop(self);
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	return self;
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	}
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CMontgomeryStructure* CMontgomeryStructure::NewLC(
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	const TInteger& aModulus)
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	{
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	CMontgomeryStructure* self = new(ELeave) CMontgomeryStructure;
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	CleanupStack::PushL(self);
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	self->ConstructL(aModulus);
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	return self;
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	}
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CMontgomeryStructure::~CMontgomeryStructure()
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	{
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	iModulus.Close();
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	iModulusInv.Close();
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	iWorkspace.Close();
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	iResult.Close();
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	}
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void CMontgomeryStructure::ConstructL(const TInteger& aModulus)
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	{
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	User::LeaveIfError(aModulus.IsOdd() ? KErrNone : KErrArgument);
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	iModulusInv = RInteger::NewEmptyL(aModulus.Size());
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	iWorkspace = RInteger::NewEmptyL(5*aModulus.Size());
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	iModulus = RInteger::NewL(aModulus);
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	iResult = RInteger::NewEmptyL(aModulus.Size());
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	RecursiveInverseModPower2(iModulusInv.Ptr(), iWorkspace.Ptr(), 
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		iModulus.Ptr(), iModulus.Size());
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	}
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CMontgomeryStructure::CMontgomeryStructure()
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	{
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	}
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TInteger& CMontgomeryStructure::ConvertInL(TInteger& aInteger) const
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	{
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	aInteger <<= WordsToBits(iModulus.Size());
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	aInteger %= iModulus;
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	return aInteger;
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	}
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TInteger& CMontgomeryStructure::ConvertOutL(TInteger& aInteger) const
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	{
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	TUint* const T = iWorkspace.Ptr();
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	TUint* const R = aInteger.Ptr();
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	const TUint N = iModulus.Size();
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	User::LeaveIfError((aInteger.Size() <= N) ? KErrNone : KErrArgument);
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	CopyWords(T, aInteger.Ptr(), aInteger.Size());
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	SetWords(T + aInteger.Size(), 0, 2*N - aInteger.Size());
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	MontgomeryReduce(R, T+2*N, T, iModulus.Ptr(), iModulusInv.Ptr(), N);
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	return aInteger;
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	}
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const TInteger& CMontgomeryStructure::ReduceL(
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	const TInteger& aInteger) const
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	{
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	RInteger temp = RInteger::NewL(aInteger);
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	CleanupStack::PushL(temp);
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	ConvertInL(temp);
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	iResult.CopyL(ConvertOutL(temp), EFalse);
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	CleanupStack::PopAndDestroy(&temp);
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	return iResult;
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	}
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const TInteger& CMontgomeryStructure::MultiplyL(const TInteger& aA, 
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	const TInteger& aB) const
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	{
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	RInteger a = RInteger::NewL(aA);
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	CleanupStack::PushL(a);
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	RInteger b = RInteger::NewL(aB);
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	CleanupStack::PushL(b);
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	DoMultiplyL(iResult, ConvertInL(a), ConvertInL(b));
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	ConvertOutL(iResult);
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	CleanupStack::PopAndDestroy(&b); 
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	CleanupStack::PopAndDestroy(&a); 
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	return iResult;
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	}
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void CMontgomeryStructure::DoMultiplyL(TInteger& aResult, const TInteger& aA,
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	const TInteger& aB) const
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	{
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	User::LeaveIfError((aResult.Size() == iModulus.Size()) ? KErrNone : KErrArgument);
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   116
					   
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	TUint* const T = iWorkspace.Ptr();
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	TUint* const R = aResult.Ptr();
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	const TUint N = iModulus.Size();
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	const TUint* const aReg = aA.Ptr();
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	const TUint* const bReg = aB.Ptr();
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	const TUint aSize = aA.Size();
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   123
	const TUint bSize = aB.Size();
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   124
	User::LeaveIfError((aSize <= N && bSize <= N) ? KErrNone : KErrArgument);
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   125
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   126
	AsymmetricMultiply(T, T+2*N, aReg, aSize, bReg, bSize);
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   127
	SetWords(T+aSize+bSize, 0, 2*N - aSize - bSize);
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   128
	MontgomeryReduce(R, T+2*N, T, iModulus.Ptr(), iModulusInv.Ptr(), N);
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   129
	}
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   130
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   131
const TInteger& CMontgomeryStructure::SquareL(const TInteger& aA) const
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	{
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   133
	RInteger a = RInteger::NewL(aA);
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   134
	CleanupStack::PushL(a);
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   135
	DoSquareL(iResult, ConvertInL(a));
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   136
	ConvertOutL(iResult);
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   137
	CleanupStack::PopAndDestroy(&a);
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   138
	return iResult;
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   139
	}
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   140
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   141
void CMontgomeryStructure::DoSquareL(TInteger& aResult, const TInteger& aA) const
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	{
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   143
	User::LeaveIfError((aResult.Size() == iModulus.Size()) ? KErrNone : KErrArgument);
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   144
	TUint* const T = iWorkspace.Ptr();
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   145
	TUint* const R = aResult.Ptr();
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   146
	const TUint N = iModulus.Size();
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   147
	const TUint* const aReg = aA.Ptr();
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   148
	const TUint aSize = aA.Size();
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   149
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	User::LeaveIfError((aSize <= N) ? KErrNone : KErrArgument);
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   151
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   152
	RecursiveSquare(T, T+2*N, aReg, aSize);
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   153
	SetWords(T+2*aSize, 0, 2*N-2*aSize);
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   154
	MontgomeryReduce(R, T+2*N, T, iModulus.Ptr(), iModulusInv.Ptr(), N);
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   155
	}
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   156
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   157
const TInteger& CMontgomeryStructure::ExponentiateL(
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   158
	const TInteger& aBase, const TInteger& aExponent) const
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   159
	{
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   160
	//See HAC 14.85
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   161
	if ((iResult.Size() != iModulus.Size()) ||
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   162
		(aBase >= iModulus) ||
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   163
		(!aBase.IsPositive()) ||
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   164
		(!aExponent.IsPositive()))
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   165
		{
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   166
		User::Leave(KErrArgument);
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   167
		}
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   168
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	// 1.1 Precomputation
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   170
	// g1 <- g
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   171
	// g2 <- g^2
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   172
	RInteger g2 = RInteger::NewL(aBase);
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   173
	CleanupStack::PushL(g2);
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   174
	ConvertInL(g2);
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   175
	//ConvertIn can shrink g2, because we call DoSquare on g2, g2 must be the same size as the modulus
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   176
	g2.CleanGrowL(iModulus.Size());
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   177
	RInteger g1 = RInteger::NewL(g2);
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   178
	CleanupStack::PushL(g1);
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   179
	DoSquareL(g2, g2);
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   180
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   181
	TWindowSlider slider(aExponent);
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   182
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   183
	// 1.2 
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   184
	// For i from 1 to (2^(k-1) -1) do g2i+1 <- g2i-1 * g2
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   185
	TUint count = (1 << (slider.WindowSize()-1)) - 1; //2^(k-1) -1
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   186
	RRArray<RInteger> powerArray(count+1); //+1 because we append g1
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   187
	User::LeaveIfError(powerArray.Append(g1));
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   188
	CleanupStack::Pop(&g1); 
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   189
	CleanupClosePushL(powerArray);
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   190
	for(TUint k=1; k <= count; k++)
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   191
		{
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   192
		RInteger gi = RInteger::NewEmptyL(iModulus.Size());
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   193
		DoMultiplyL(gi, g2, powerArray[k-1]);
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   194
		User::LeaveIfError(powerArray.Append(gi));
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   195
		}
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   196
	
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   197
	// 2 A <- 1, i <- t
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   198
	RInteger temp = RInteger::NewL(TInteger::One());
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   199
	CleanupStack::PushL(temp);
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   200
	ConvertInL(temp);
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parents:
diff changeset
   201
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   202
	RInteger& A = iResult;
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   203
	//Set A to one converted in for this modulus without changing the memory size of A (iResult)
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   204
	A.CopyL(temp, EFalse); 
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   205
	CleanupStack::PopAndDestroy(&temp);
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parents:
diff changeset
   206
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   207
	TInt i = aExponent.BitCount() - 1;
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parents:
diff changeset
   208
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   209
	// 3 While i>=0 do:
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   210
	while( i>=0 )
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diff changeset
   211
		{
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   212
		// 3.1 If ei == 0 then A <- A^2
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   213
		if(!aExponent.Bit(i))
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parents:
diff changeset
   214
			{
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   215
			DoSquareL(A, A);
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parents:
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   216
			i--;
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diff changeset
   217
			}
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diff changeset
   218
		// 3.2 Find longest bitstring ei,ei-1,...,el s.t. i-l+1<=k and el==1
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   219
		// and do:
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   220
		// A <- (A^2^(i-l+1)) * g[the index indicated by the bitstring value]
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parents:
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   221
		else
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parents:
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   222
			{
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   223
			slider.FindNextWindow(i);
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parents:
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   224
			assert(slider.Length() >= 1);
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parents:
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   225
			for(TUint j=0; j<slider.Length(); j++)
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diff changeset
   226
				{
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parents:
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				DoSquareL(A, A);
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				}
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
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			DoMultiplyL(A, A, powerArray[slider.Value()>>1]);
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			i -= slider.Length();
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parents:
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			}
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parents:
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		}
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Dremov Kirill (Nokia-D-MSW/Tampere) <kirill.dremov@nokia.com>
parents:
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	CleanupStack::PopAndDestroy(2, &g2); //powerArray, g2
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	return ConvertOutL(A); // A == iResult
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	}