/*
4ti2 -- A software package for algebraic, geometric and combinatorial
problems on linear spaces.

Copyright (C) 2006 4ti2 team.
Main author(s): Peter Malkin.

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; either version 2
of the License, or (at your option) any later version.

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; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. 
*/

#ifndef _4ti2_FilterReduction_
#define _4ti2_FilterReduction_

#include "groebner/Binomial.h"
#include <vector>

class FilterNode;

namespace _4ti2_
{

typedef std::vector<const Binomial*> BinomialList;

class FilterReduction
{
public:
    FilterReduction();
    ~FilterReduction();

    void add(const Binomial& b);
    void remove(const Binomial& b);
    void clear();

    const Binomial* reducable(
                    const Binomial& b,
                    const Binomial* b1 = 0) const;
    const Binomial* reducable_negative(
                    const Binomial& b,
                    const Binomial* b1 = 0) const;
    void reducable( const Binomial& b,
                    BinomialList& reducers) const;

    void print() const;

protected:
    const Binomial* reducable(
                    const Binomial& b,
                    const Binomial* b1,
                    const FilterNode* node) const;
    const Binomial* reducable_negative(
                    const Binomial& b,
                    const Binomial* b1,
                    const FilterNode* node) const;
    void reducable( const Binomial& b,
                    BinomialList& reducers,
                    const FilterNode* node) const;

    void print(const FilterNode* node) const;

    FilterNode* root;
};

} // namespace _4ti2_

#endif
