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/*
* Normaliz
* Copyright (C) 2007-2014 Winfried Bruns, Bogdan Ichim, Christof Soeger
* 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 3 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, see <http://www.gnu.org/licenses/>.
*
* As an exception, when this program is distributed through (i) the App Store
* by Apple Inc.; (ii) the Mac App Store by Apple Inc.; or (iii) Google Play
* by Google Inc., then that store may impose any digital rights management,
* device limits and/or redistribution restrictions that are required by its
* terms of service.
*/
//---------------------------------------------------------------------------
#ifndef REDUCTION_HPP
#define REDUCTION_HPP
//---------------------------------------------------------------------------
#include <vector>
#include <list>
#include <iostream>
#include <string>
#include "libnormaliz/full_cone.h"
#include "libnormaliz/list_operations.h"
//---------------------------------------------------------------------------
namespace libnormaliz {
using std::list;
using std::vector;
using std::string;
template<typename Integer> class CandidateList;
template<typename Integer> class CandidateTable;
template<typename Integer> class Full_Cone;
template<typename Integer> class Cone_Dual_Mode;
template<typename Integer>
class Candidate { // for reduction
friend class CandidateList<Integer>;
friend class CandidateTable<Integer>;
public:
vector<Integer> cand; // the vector
vector<Integer> values; // values under support forms
long sort_deg; // the sorting degree
bool reducible; // indicates reducibility
bool original_generator; // marks the original generators in the primal algorithm
Integer mother; // for the dual algorithm
size_t old_tot_deg;
// construct candidate from given components
Candidate(const vector<Integer>& v, const vector<Integer>& val, long sd);
// construct candidate from a vector and the support forms of C
Candidate(const vector<Integer>& v, const Full_Cone<Integer>& C);
// construct candidate for dual algorithm
Candidate(const vector<Integer>& v, size_t max_size);
Candidate(size_t cand_size, size_t val_size);
// compute values and sort deg, cand must be set beforehand
void compute_values_deg(const Full_Cone<Integer>& C);
}; //end class
template<typename Integer>
bool deg_compare(const Candidate<Integer>& a, const Candidate<Integer>& b);
template<typename Integer>
bool val_compare(const Candidate<Integer>& a, const Candidate<Integer>& b);
template <typename Integer>
ostream& operator<< (ostream& out, const Candidate<Integer>& c) {
cout << "-------------" << endl;
out << "cand=" << c.cand;
out << "values=" << c.values;
out << "sort_deg=" << c.sort_deg;
out << ", reducible=" << c.reducible;
out << ", original_generator=" << c.original_generator;
// out << ", generation=" << c.generation;
out << ", mother=" << c.mother;
out << ", old_tot_deg=" << c.old_tot_deg << endl;
// out << ", in_HB=" << c.in_HB;
return out;
}
// adds two candidates and returns the sum
template<typename Integer>
Candidate<Integer> sum(const Candidate<Integer>& C,const Candidate<Integer>& D);
template<typename Integer>
class CandidateList {
friend class Full_Cone<Integer>;
friend class Cone_Dual_Mode<Integer>;
public:
bool verbose;
list <Candidate<Integer> > Candidates;
bool dual;
size_t last_hyp;
Candidate<Integer> tmp_candidate; // buffer to avoid reallocation
CandidateList();
CandidateList(bool dual_algorithm);
// Checks for irreducibility
bool is_reducible(const vector<Integer>& values, const long sort_deg) const; // basic function
// bool is_reducible_last_hyp(const vector<Integer>& values, const long sort_deg) const;
// including construction of candidate
bool is_reducible(Candidate<Integer>& c) const;
// bool is_reducible_last_hyp(Candidate<Integer>& c) const;
bool is_reducible(vector<Integer> v,Candidate<Integer>& cand, const Full_Cone<Integer>& C) const;
// reduction against Reducers and insertion into *this. returns true if inserted
bool reduce_by_and_insert(Candidate<Integer>& cand, const CandidateList<Integer>& Reducers);
// including construction of candidate
bool reduce_by_and_insert(const vector<Integer>& v, Full_Cone<Integer>& C, CandidateList<Integer>& Reducers);
// reduce *this against Reducers
void reduce_by(CandidateList<Integer>& Reducers);
// reduce *this against itself
void auto_reduce();
void auto_reduce_sorted();
// void unique_auto_reduce(bool no_pos_in_level0);
// erases dupicate elements in Candidates
void unique_vectors();
void sort_by_deg();
void sort_by_val();
void divide_sortdeg_by2();
void merge(CandidateList<Integer>& NewCand);
void merge_by_val(CandidateList<Integer>& NewCand);
void merge_by_val(CandidateList<Integer>& NewCand,list<Candidate<Integer>* >& New_Elements);
void merge_by_val_inner(CandidateList<Integer>& NewCand, bool collect_new_elements,
list<Candidate<Integer>* >& New_Elements);
void splice(CandidateList<Integer>& NewCand);
void extract(list<vector<Integer> >& V_List);
void push_back(const Candidate<Integer>& c);
void clear();
size_t size();
bool empty();
void search();
}; // end class
template <typename Integer>
ostream& operator<< (ostream& out, const CandidateList<Integer>& cl) {
out << "CandidateList with " << cl.Candidates.size() << " candidates." << endl;
out << "dual = " << cl.dual << " last_hyp = " << cl.last_hyp << endl;
out << cl.Candidates;
return out;
}
template<typename Integer>
class CandidateTable { // for parallelized reduction with moving of reducer to the front
friend class CandidateList<Integer>;
public:
list < std::pair< size_t, vector<Integer>* > > ValPointers;
bool dual;
size_t last_hyp;
CandidateTable(CandidateList<Integer>& CandList);
CandidateTable(bool dual, size_t last_hyp);
bool is_reducible(Candidate<Integer>& c);
bool is_reducible(const vector<Integer>& values, const long sort_deg);
bool is_reducible_unordered(Candidate<Integer>& c);
bool is_reducible_unordered(const vector<Integer>& values, const long sort_deg);
}; // end class
} // namespace libnormaliz
//---------------------------------------------------------------------------
#endif
//---------------------------------------------------------------------------
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