MultivariateMonomialMR.h

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/*
 * GiNaCRA - GiNaC Real Algebra package
 * Copyright (C) 2010-2012  Ulrich Loup, Joachim Redies, Sebastian Junges
 *
 * This file is part of GiNaCRA.
 *
 * GiNaCRA 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, either version 3 of the License, or
 * (at your option) any later version.
 *
 * GiNaCRA 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 GiNaCRA.  If not, see <http://www.gnu.org/licenses/>.
 *
 */


#ifndef GINACRA_MULTIVARIATEMONOMIALMR_H
#define GINACRA_MULTIVARIATEMONOMIALMR_H

// #define GINACRA_MULTIVARIATEPOLYNOMIAL_DEBUG

#include <ginac/ginac.h>
#include <stdexcept>
#include <iostream>
#include <numeric>
#include <vector>

namespace GiNaCRA
{
    typedef std::pair<unsigned, unsigned>    pui;
    typedef std::vector<pui>::const_iterator vui_cIt;

    class MultivariateTermMR;

    class MultivariateMonomialMR
    {
        public:
            friend class MultivariateTermMR;
            MultivariateMonomialMR();

            MultivariateMonomialMR( unsigned nrVars );
            //MultivariateMonomialMR( const GiNaC::ex& expr );

            MultivariateMonomialMR( unsigned varIndex, int exponent );

            MultivariateMonomialMR( vui_cIt vecBegin, vui_cIt vecEnd );

            inline unsigned tdeg() const
            {
                return mTotDeg;
            }

            inline bool constant() const
            {
                return (tdeg() == 0);
            }

            //InternalMultivariateMonomialMR& operator=(const InternalMultivariateMonomialMR& rhs);
            //InternalMultivariateMonomialMR& operator*=(const InternalMultivariateMonomialMR& rhs);
            //InternalMultivariateMonomialMR& operator/=(const InternalMultivariateMonomialMR& rhs);

            GiNaC::ex toEx() const;

            friend const MultivariateMonomialMR operator *( const MultivariateMonomialMR& m1, const MultivariateMonomialMR& m2 );
            friend const MultivariateMonomialMR operator /( const MultivariateMonomialMR& nom, const MultivariateMonomialMR& denom );

            friend bool operator !=( const MultivariateMonomialMR& lhs, const MultivariateMonomialMR& rhs );
            friend bool operator ==( const MultivariateMonomialMR& lhs, const MultivariateMonomialMR& rhs );
            friend std::ostream& operator <<( std::ostream& os, const MultivariateMonomialMR& rhs );

            //static bool varsMatch(const MultivariateMonomialMR& lhs, const MultivariateMonomialMR& rhs);

            static const MultivariateMonomialMR lcm( const MultivariateMonomialMR& m1, const MultivariateMonomialMR& m2 );

            static bool LexCompare( const MultivariateMonomialMR& m1, const MultivariateMonomialMR& m2 );

            static bool GrLexCompare( const MultivariateMonomialMR& m1, const MultivariateMonomialMR& m2 );

            static bool GrRevLexCompare( const MultivariateMonomialMR& m1, const MultivariateMonomialMR& m2 );

        private:
            std::vector<std::pair<unsigned, unsigned> > mExponents;
            unsigned mTotDeg;

    };

}
#endif