mhom.hpp

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//This file is part of Bertini 2.
//
//mhom.hpp 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.
//
//mhom.hpp 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 mhom.hpp.  If not, see <http://www.gnu.org/licenses/>.
//
// Copyright(C) 2015 - 2021 by Bertini2 Development Team
//
// See <http://www.gnu.org/licenses/> for a copy of the license, 
// as well as COPYING.  Bertini2 is provided with permitted 
// additional terms in the b2/licenses/ directory.
 
// individual authors of this file include:
// Tim Hodges, Colorado State University
// silviana amethyst, university of wisconsin eau claire

 
#pragma once
 
#include "bertini2/system/start_base.hpp"
#include "bertini2/system/start/utility.hpp"
 
namespace bertini 
{
    namespace start_system
    {
 

        class MHomogeneous : public StartSystem
        {
        public:
            MHomogeneous() = default;
            virtual ~MHomogeneous() = default;
            
            MHomogeneous(System const& s);

            void CreateDegreeMatrix(System const& s);

            void GenerateValidPartitions(System const& s);

            int ChooseColumnInRow(System const& s,Vec<int>& variable_group_counter, int row, int column);

            unsigned long long NumStartPoints() const override;
 
            unsigned long long NumStartPointsForPartition(Vec<int> partition) const;
 
            MHomogeneous& operator*=(Nd const& n);
 
            MHomogeneous& operator+=(System const& sys) = delete;

            Mat<int> degree_matrix_; // stores degrees of all functions in all homogeneous variable groups.
            
            std::deque< Vec<int> > valid_partitions_;
 
 
        private:

            Vec<dbl> GenerateStartPoint(dbl,unsigned long long index) const override;

            Vec<mpfr_complex> GenerateStartPoint(mpfr_complex,unsigned long long index) const override;
            
            template<typename T>
            void GenerateStartPointT(Vec<T>& start_point, unsigned long long index) const;
            
            
 
            
            std::vector<unsigned long long> degrees_; 
            std::vector< VariableGroup > var_groups_;
            Mat<std::shared_ptr<node::LinearProduct>> linprod_matrix_; 
            std::vector< std::vector<size_t> > variable_cols_; 
 
            mutable Vec<mpfr_complex> temp_v_mp_;
 
            friend class boost::serialization::access;
 
            template <typename Archive>
            void serialize(Archive& ar, const unsigned version) 
            {
                ar & boost::serialization::base_object<StartSystem>(*this);
                ar & degrees_;
            }
 
        };
    }//end start_system namespace
}//end bertini namespace