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-/*
- Copyright (c) 2000, 2012, Oracle and/or its affiliates. All rights reserved.
-
- This program is free software; you can redistribute it and/or modify
- it under the terms of the GNU General Public License as published by
- the Free Software Foundation; version 2 of the License.
-
- This program is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- GNU General Public License for more details.
-
- You should have received a copy of the GNU General Public License
- along with this program; see the file COPYING. If not, write to the
- Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
- MA 02110-1301 USA.
-*/
-
-
-/* based on Wei Dai's modarith.h from CryptoPP */
-
-
-#ifndef TAO_CRYPT_MODARITH_HPP
-#define TAO_CRYPT_MODARITH_HPP
-
-#include "misc.hpp"
-#include "algebra.hpp"
-
-namespace TaoCrypt {
-
-
-// ModularArithmetic
-class ModularArithmetic : public AbstractRing
-{
-public:
-
- typedef int RandomizationParameter;
- typedef Integer Element;
-
- ModularArithmetic(const Integer &modulus = Integer::One())
- : modulus(modulus), result((word)0, modulus.reg_.size()) {}
-
- ModularArithmetic(const ModularArithmetic &ma)
- : AbstractRing(),
- modulus(ma.modulus), result((word)0, modulus.reg_.size()) {}
-
- const Integer& GetModulus() const {return modulus;}
- void SetModulus(const Integer &newModulus)
- {
- modulus = newModulus;
- result.reg_.resize(modulus.reg_.size());
- }
-
- virtual bool IsMontgomeryRepresentation() const {return false;}
-
- virtual Integer ConvertIn(const Integer &a) const
- {return a%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 result1 = a*b%modulus;}
-
- const Integer& Square(const Integer &a) const
- {return result1 = a.Squared()%modulus;}
-
- bool IsUnit(const Integer &a) const
- {return Integer::Gcd(a, modulus).IsUnit();}
-
- const Integer& MultiplicativeInverse(const Integer &a) const
- {return result1 = a.InverseMod(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 (modulus-1).BitCount();}
-
- unsigned int MaxElementByteLength() const
- {return (modulus-1).ByteCount();}
-
-
- static const RandomizationParameter DefaultRandomizationParameter;
-
-protected:
- Integer modulus;
- mutable Integer result, result1;
-
-};
-
-
-
-//! do modular arithmetics in Montgomery representation for increased speed
-class MontgomeryRepresentation : public ModularArithmetic
-{
-public:
- MontgomeryRepresentation(const Integer &modulus); // modulus must be odd
-
- bool IsMontgomeryRepresentation() const {return true;}
-
- Integer ConvertIn(const Integer &a) const
- {return (a<<(WORD_BITS*modulus.reg_.size()))%modulus;}
-
- Integer ConvertOut(const Integer &a) const;
-
- const Integer& MultiplicativeIdentity() const
- {return result1 = Integer::Power2(WORD_BITS*modulus.reg_.size())%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::CascadeExponentiate(x, e1, y, e2);}
-
- void SimultaneousExponentiate(Element *results, const Element &base,
- const Integer *exponents, unsigned int exponentsCount) const
- {AbstractRing::SimultaneousExponentiate(results, base,
- exponents, exponentsCount);}
-
-private:
- Integer u;
- mutable AlignedWordBlock workspace;
-};
-
-
-
-
-} // namespace
-
-#endif // TAO_CRYPT_MODARITH_HPP