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-/* This file is part of the Gudhi Library. The Gudhi library
- * (Geometric Understanding in Higher Dimensions) is a generic C++
- * library for computational topology.
- *
- * Author(s): Siargey Kachanovich
- *
- * Copyright (C) 2015 INRIA Sophia Antipolis-Méditerranée (France)
- *
- * 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/>.
- */
-
-#include <iostream>
-#include <fstream>
-#include <ctime>
-#include <utility>
-#include <algorithm>
-#include <set>
-#include <iterator>
-
-#include <sys/types.h>
-#include <sys/stat.h>
-//#include <stdlib.h>
-
-//#include "gudhi/graph_simplicial_complex.h"
-#include "gudhi/Witness_complex.h"
-#include "gudhi/reader_utils.h"
-//#include <boost/filesystem.hpp>
-
-//#include <CGAL/Delaunay_triangulation.h>
-#include <CGAL/Cartesian_d.h>
-#include <CGAL/Search_traits.h>
-#include <CGAL/Search_traits_adapter.h>
-#include <CGAL/property_map.h>
-#include <CGAL/Epick_d.h>
-#include <CGAL/Orthogonal_k_neighbor_search.h>
-#include <CGAL/Kd_tree.h>
-#include <CGAL/Euclidean_distance.h>
-
-#include <CGAL/Kernel_d/Vector_d.h>
-#include <CGAL/point_generators_d.h>
-#include <CGAL/constructions_d.h>
-#include <CGAL/Fuzzy_sphere.h>
-#include <CGAL/Random.h>
-
-
-#include <boost/tuple/tuple.hpp>
-#include <boost/iterator/zip_iterator.hpp>
-#include <boost/iterator/counting_iterator.hpp>
-#include <boost/range/iterator_range.hpp>
-
-using namespace Gudhi;
-//using namespace boost::filesystem;
-
-typedef CGAL::Epick_d<CGAL::Dynamic_dimension_tag> K;
-typedef K::Point_d Point_d;
-//typedef CGAL::Cartesian_d<double> K;
-//typedef CGAL::Point_d<K> Point_d;
-typedef K::FT FT;
-typedef CGAL::Search_traits<
- FT, Point_d,
- typename K::Cartesian_const_iterator_d,
- typename K::Construct_cartesian_const_iterator_d> Traits_base;
-typedef CGAL::Euclidean_distance<Traits_base> Euclidean_distance;
-
-/**
- * \brief Class of distance in a flat torus in dimension D
- *
- */
-//class Torus_distance : public Euclidean_distance {
-/*
- class Torus_distance {
-
-public:
- typedef K::FT FT;
- typedef K::Point_d Point_d;
- typedef Point_d Query_item;
- typedef typename CGAL::Dynamic_dimension_tag D;
-
- double box_length = 2;
-
- FT transformed_distance(Query_item q, Point_d p) const
- {
- FT distance = FT(0);
- FT coord = FT(0);
- //std::cout << "Hello skitty!\n";
- typename K::Construct_cartesian_const_iterator_d construct_it=Traits_base().construct_cartesian_const_iterator_d_object();
- typename K::Cartesian_const_iterator_d qit = construct_it(q),
- qe = construct_it(q,1), pit = construct_it(p);
- for(; qit != qe; qit++, pit++)
- {
- coord = sqrt(((*qit)-(*pit))*((*qit)-(*pit)));
- if (coord*coord <= (box_length-coord)*(box_length-coord))
- distance += coord*coord;
- else
- distance += (box_length-coord)*(box_length-coord);
- }
- return distance;
- }
-
- FT min_distance_to_rectangle(const Query_item& q,
- const CGAL::Kd_tree_rectangle<FT,D>& r) const {
- FT distance = FT(0);
- FT dist1, dist2;
- typename K::Construct_cartesian_const_iterator_d construct_it=Traits_base().construct_cartesian_const_iterator_d_object();
- typename K::Cartesian_const_iterator_d qit = construct_it(q),
- qe = construct_it(q,1);
- for(unsigned int i = 0;qit != qe; i++, qit++)
- {
- if((*qit) < r.min_coord(i))
- {
- dist1 = (r.min_coord(i)-(*qit));
- dist2 = (box_length - r.max_coord(i)+(*qit));
- if (dist1 < dist2)
- distance += dist1*dist1;
- else
- distance += dist2*dist2;
- }
- else if ((*qit) > r.max_coord(i))
- {
- dist1 = (box_length - (*qit)+r.min_coord(i));
- dist2 = ((*qit) - r.max_coord(i));
- if (dist1 < dist2)
- distance += dist1*dist1;
- else
- distance += dist2*dist2;
- }
- }
- return distance;
- }
-
- FT min_distance_to_rectangle(const Query_item& q,
- const CGAL::Kd_tree_rectangle<FT,D>& r,
- std::vector<FT>& dists) const {
- FT distance = FT(0);
- FT dist1, dist2;
- typename K::Construct_cartesian_const_iterator_d construct_it=Traits_base().construct_cartesian_const_iterator_d_object();
- typename K::Cartesian_const_iterator_d qit = construct_it(q),
- qe = construct_it(q,1);
- //std::cout << r.max_coord(0) << std::endl;
- for(unsigned int i = 0;qit != qe; i++, qit++)
- {
- if((*qit) < r.min_coord(i))
- {
- dist1 = (r.min_coord(i)-(*qit));
- dist2 = (box_length - r.max_coord(i)+(*qit));
- if (dist1 < dist2)
- {
- dists[i] = dist1;
- distance += dist1*dist1;
- }
- else
- {
- dists[i] = dist2;
- distance += dist2*dist2;
- //std::cout << "Good stuff1\n";
- }
- }
- else if ((*qit) > r.max_coord(i))
- {
- dist1 = (box_length - (*qit)+r.min_coord(i));
- dist2 = ((*qit) - r.max_coord(i));
- if (dist1 < dist2)
- {
- dists[i] = dist1;
- distance += dist1*dist1;
- //std::cout << "Good stuff2\n";
- }
- else
- {
- dists[i] = dist2;
- distance += dist2*dist2;
- }
- }
- };
- return distance;
- }
-
- FT max_distance_to_rectangle(const Query_item& q,
- const CGAL::Kd_tree_rectangle<FT,D>& r) const {
- FT distance=FT(0);
- typename K::Construct_cartesian_const_iterator_d construct_it=Traits_base().construct_cartesian_const_iterator_d_object();
- typename K::Cartesian_const_iterator_d qit = construct_it(q),
- qe = construct_it(q,1);
- for(unsigned int i = 0;qit != qe; i++, qit++)
- {
- if (box_length <= (r.min_coord(i)+r.max_coord(i)))
- if ((r.max_coord(i)+r.min_coord(i)-box_length)/FT(2.0) <= (*qit) &&
- (*qit) <= (r.min_coord(i)+r.max_coord(i))/FT(2.0))
- distance += (r.max_coord(i)-(*qit))*(r.max_coord(i)-(*qit));
- else
- distance += ((*qit)-r.min_coord(i))*((*qit)-r.min_coord(i));
- else
- if ((box_length-r.max_coord(i)-r.min_coord(i))/FT(2.0) <= (*qit) ||
- (*qit) <= (r.min_coord(i)+r.max_coord(i))/FT(2.0))
- distance += (r.max_coord(i)-(*qit))*(r.max_coord(i)-(*qit));
- else
- distance += ((*qit)-r.min_coord(i))*((*qit)-r.min_coord(i));
- }
- return distance;
- }
-
-
- FT max_distance_to_rectangle(const Query_item& q,
- const CGAL::Kd_tree_rectangle<FT,D>& r,
- std::vector<FT>& dists) const {
- FT distance=FT(0);
- typename K::Construct_cartesian_const_iterator_d construct_it=Traits_base().construct_cartesian_const_iterator_d_object();
- typename K::Cartesian_const_iterator_d qit = construct_it(q),
- qe = construct_it(q,1);
- for(unsigned int i = 0;qit != qe; i++, qit++)
- {
- if (box_length <= (r.min_coord(i)+r.max_coord(i)))
- if ((r.max_coord(i)+r.min_coord(i)-box_length)/FT(2.0) <= (*qit) &&
- (*qit) <= (r.min_coord(i)+r.max_coord(i))/FT(2.0))
- {
- dists[i] = r.max_coord(i)-(*qit);
- distance += (r.max_coord(i)-(*qit))*(r.max_coord(i)-(*qit));
- }
- else
- {
- dists[i] = sqrt(((*qit)-r.min_coord(i))*((*qit)-r.min_coord(i)));
- distance += ((*qit)-r.min_coord(i))*((*qit)-r.min_coord(i));
- }
- else
- if ((box_length-r.max_coord(i)-r.min_coord(i))/FT(2.0) <= (*qit) ||
- (*qit) <= (r.min_coord(i)+r.max_coord(i))/FT(2.0))
- {
- dists[i] = sqrt((r.max_coord(i)-(*qit))*(r.max_coord(i)-(*qit)));
- distance += (r.max_coord(i)-(*qit))*(r.max_coord(i)-(*qit));
-
- }
- else
- {
- dists[i] = (*qit)-r.min_coord(i);
- distance += ((*qit)-r.min_coord(i))*((*qit)-r.min_coord(i));
- }
- }
- return distance;
- }
-
- inline FT new_distance(FT dist, FT old_off, FT new_off,
- int ) const {
-
- FT new_dist = dist + (new_off*new_off - old_off*old_off);
- return new_dist;
- }
-
- inline FT transformed_distance(FT d) const {
- return d*d;
- }
-
- inline FT inverse_of_transformed_distance(FT d) const {
- return sqrt(d);
- }
-
-};
-*/
-
-typedef std::vector< Vertex_handle > typeVectorVertex;
-
-//typedef std::pair<typeVectorVertex, Filtration_value> typeSimplex;
-//typedef std::pair< Simplex_tree<>::Simplex_handle, bool > typePairSimplexBool;
-
-typedef CGAL::Search_traits_adapter<
- std::ptrdiff_t, Point_d*, Traits_base> STraits;
-//typedef K TreeTraits;
-//typedef CGAL::Distance_adapter<std::ptrdiff_t,Point_d*,Euclidean_distance > Euclidean_adapter;
-//typedef CGAL::Kd_tree<STraits> Kd_tree;
-typedef CGAL::Orthogonal_k_neighbor_search<STraits, CGAL::Distance_adapter<std::ptrdiff_t,Point_d*,Euclidean_distance>> K_neighbor_search;
-typedef K_neighbor_search::Tree Tree;
-typedef K_neighbor_search::Distance Distance;
-typedef K_neighbor_search::iterator KNS_iterator;
-typedef K_neighbor_search::iterator KNS_range;
-typedef boost::container::flat_map<int, int> Point_etiquette_map;
-typedef CGAL::Kd_tree<STraits> Tree2;
-
-typedef CGAL::Fuzzy_sphere<STraits> Fuzzy_sphere;
-
-typedef std::vector<Point_d> Point_Vector;
-
-//typedef K::Equal_d Equal_d;
-//typedef CGAL::Random_points_in_cube_d<CGAL::Point_d<CGAL::Cartesian_d<FT> > > Random_cube_iterator;
-typedef CGAL::Random_points_in_cube_d<Point_d> Random_cube_iterator;
-typedef CGAL::Random_points_in_ball_d<Point_d> Random_point_iterator;
-
-bool toric=false;
-
-/**
- * \brief Customized version of read_points
- * which takes into account a possible nbP first line
- *
- */
-inline void
-read_points_cust ( std::string file_name , Point_Vector & points)
-{
- std::ifstream in_file (file_name.c_str(),std::ios::in);
- if(!in_file.is_open())
- {
- std::cerr << "Unable to open file " << file_name << std::endl;
- return;
- }
- std::string line;
- double x;
- while( getline ( in_file , line ) )
- {
- std::vector< double > point;
- std::istringstream iss( line );
- while(iss >> x) { point.push_back(x); }
- Point_d p(point.begin(), point.end());
- if (point.size() != 1)
- points.push_back(p);
- }
- in_file.close();
-}
-
-void generate_points_grid(Point_Vector& W, int width, int D)
-{
- int nb_points = 1;
- for (int i = 0; i < D; ++i)
- nb_points *= width;
- for (int i = 0; i < nb_points; ++i)
- {
- std::vector<double> point;
- int cell_i = i;
- for (int l = 0; l < D; ++l)
- {
- point.push_back((2.0/width)*(cell_i%width));
- cell_i /= width;
- }
- W.push_back(point);
- }
-}
-
-void generate_points_random_box(Point_Vector& W, int nbP, int dim)
-{
- /*
- Random_cube_iterator rp(dim, 1);
- for (int i = 0; i < nbP; i++)
- {
- std::vector<double> point;
- for (auto it = rp->cartesian_begin(); it != rp->cartesian_end(); ++it)
- point.push_back(*it);
- W.push_back(Point_d(point));
- rp++;
- }
- */
- Random_cube_iterator rp(dim, 1.0);
- for (int i = 0; i < nbP; i++)
- {
- W.push_back(*rp++);
- }
-}
-
-/* NOT TORUS RELATED
- */
-void generate_points_sphere(Point_Vector& W, int nbP, int dim)
-{
- CGAL::Random_points_on_sphere_d<Point_d> rp(dim,1);
- for (int i = 0; i < nbP; i++)
- W.push_back(*rp++);
-}
-/*
-void read_points_to_tree (std::string file_name, Tree& tree)
-{
- //I assume here that tree is empty
- std::ifstream in_file (file_name.c_str(),std::ios::in);
- if(!in_file.is_open())
- {
- std::cerr << "Unable to open file " << file_name << std::endl;
- return;
- }
- std::string line;
- double x;
- while( getline ( in_file , line ) )
- {
- std::vector<double> coords;
- std::istringstream iss( line );
- while(iss >> x) { coords.push_back(x); }
- if (coords.size() != 1)
- {
- Point_d point(coords.begin(), coords.end());
- tree.insert(point);
- }
- }
- in_file.close();
-}
-*/
-
-void write_wl( std::string file_name, std::vector< std::vector <int> > & WL)
-{
- std::ofstream ofs (file_name, std::ofstream::out);
- for (auto w : WL)
- {
- for (auto l: w)
- ofs << l << " ";
- ofs << "\n";
- }
- ofs.close();
-}
-
-
-std::vector<Point_d> convert_to_torus(std::vector< Point_d>& points)
-{
- std::vector< Point_d > points_torus;
- for (auto p: points)
- {
- FT theta = M_PI*p[0];
- FT phi = M_PI*p[1];
- std::vector<FT> p_torus;
- p_torus.push_back((1+0.2*cos(theta))*cos(phi));
- p_torus.push_back((1+0.2*cos(theta))*sin(phi));
- p_torus.push_back(0.2*sin(theta));
- points_torus.push_back(Point_d(p_torus));
- }
- return points_torus;
-}
-
-void write_points_torus( std::string file_name, std::vector< Point_d > & points)
-{
- std::ofstream ofs (file_name, std::ofstream::out);
- std::vector<Point_d> points_torus = convert_to_torus(points);
- for (auto w : points_torus)
- {
- for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it)
- ofs << *it << " ";
- ofs << "\n";
- }
- ofs.close();
-}
-
-void write_points( std::string file_name, std::vector< Point_d > & points)
-{
- if (toric) write_points_torus(file_name, points);
- else
- {
- std::ofstream ofs (file_name, std::ofstream::out);
- for (auto w : points)
- {
- for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it)
- ofs << *it << " ";
- ofs << "\n";
- }
- ofs.close();
- }
-}
-
-
-void write_edges_torus(std::string file_name, Witness_complex<>& witness_complex, Point_Vector& landmarks)
-{
- std::ofstream ofs (file_name, std::ofstream::out);
- Point_Vector l_torus = convert_to_torus(landmarks);
- for (auto u: witness_complex.complex_vertex_range())
- for (auto v: witness_complex.complex_vertex_range())
- {
- typeVectorVertex edge = {u,v};
- if (u < v && witness_complex.find(edge) != witness_complex.null_simplex())
- {
- for (auto it = l_torus[u].cartesian_begin(); it != l_torus[u].cartesian_end(); ++it)
- ofs << *it << " ";
- ofs << "\n";
- for (auto it = l_torus[v].cartesian_begin(); it != l_torus[v].cartesian_end(); ++it)
- ofs << *it << " ";
- ofs << "\n\n\n";
- }
- }
- ofs.close();
-}
-
-void write_edges(std::string file_name, Witness_complex<>& witness_complex, Point_Vector& landmarks)
-{
- std::ofstream ofs (file_name, std::ofstream::out);
- if (toric) write_edges_torus(file_name, witness_complex, landmarks);
- else
- {
- for (auto u: witness_complex.complex_vertex_range())
- for (auto v: witness_complex.complex_vertex_range())
- {
- typeVectorVertex edge = {u,v};
- if (u < v && witness_complex.find(edge) != witness_complex.null_simplex())
- {
- for (auto it = landmarks[u].cartesian_begin(); it != landmarks[u].cartesian_end(); ++it)
- ofs << *it << " ";
- ofs << "\n";
- for (auto it = landmarks[v].cartesian_begin(); it != landmarks[v].cartesian_end(); ++it)
- ofs << *it << " ";
- ofs << "\n\n\n";
- }
- }
- ofs.close();
- }
-}
-
-
-/** Function that chooses landmarks from W and place it in the kd-tree L.
- * Note: nbL hould be removed if the code moves to Witness_complex
- */
-void landmark_choice(Point_Vector &W, int nbP, int nbL, Point_Vector& landmarks, std::vector<int>& landmarks_ind)
-{
- std::cout << "Enter landmark choice to kd tree\n";
- int chosen_landmark;
- Point_d* p;
- CGAL::Random rand;
- for (int i = 0; i < nbL; i++)
- {
- // while (!res.second)
- // {
- do chosen_landmark = rand.get_int(0,nbP);
- while (std::find(landmarks_ind.begin(),landmarks_ind.end(),chosen_landmark)!=landmarks_ind.end());
- //rand++;
- //std::cout << "Chose " << chosen_landmark << std::endl;
- p = &W[chosen_landmark];
- //L_i.emplace(chosen_landmark,i);
- // }
- landmarks.push_back(*p);
- landmarks_ind.push_back(chosen_landmark);
- //std::cout << "Added landmark " << chosen_landmark << std::endl;
- }
- }
-
-/** \brief Choose landmarks on a body-central cubic system
- */
-void landmark_choice_bcc(Point_Vector &W, int nbP, int width, Point_Vector& landmarks, std::vector<int>& landmarks_ind)
-{
- int D = W[0].size();
- int nb_points = 1;
- for (int i = 0; i < D; ++i)
- nb_points *= width;
- for (int i = 0; i < nb_points; ++i)
- {
- std::vector<double> point;
- std::vector<double> cpoint;
- int cell_i = i;
- for (int l = 0; l < D; ++l)
- {
- point.push_back(-1.0+(2.0/width)*(cell_i%width));
- cpoint.push_back(-1.0+(2.0/width)*(cell_i%width)+(1.0/width));
- cell_i /= width;
- }
- landmarks.push_back(point);
- landmarks.push_back(cpoint);
- landmarks_ind.push_back(2*i);
- landmarks_ind.push_back(2*i+1);
- }
- std::cout << "The number of landmarks is: " << landmarks.size() << std::endl;
-}
-
-
-int landmark_perturbation(Point_Vector &W, Point_Vector& landmarks, std::vector<int>& landmarks_ind)
-{
- //********************Preface: origin point
- int D = W[0].size();
- std::vector<FT> orig_vector;
- for (int i=0; i<D; i++)
- orig_vector.push_back(0);
- Point_d origin(orig_vector);
- //Distance dist;
- //dist.transformed_distance(0,1);
- //******************** Constructing a WL matrix
- int nbP = W.size();
- int nbL = landmarks.size();
- //Point_Vector landmarks_ = landmarks;
- Euclidean_distance ed;
- //Equal_d ed;
- //Point_d p1(std::vector<FT>({0.8,0.8})), p2(std::vector<FT>({0.1,0.1}));
- FT lambda = ed.transformed_distance(landmarks[0],landmarks[1]);
- //std::cout << "Lambda=" << lambda << std::endl;
- //FT lambda = 0.1;//Euclidean_distance();
- std::vector<Point_d> landmarks_ext;
- int nb_cells = 1;
- for (int i = 0; i < D; ++i)
- nb_cells *= 3;
- for (int i = 0; i < nb_cells; ++i)
- for (int k = 0; k < nbL; ++k)
- {
- std::vector<double> point;
- int cell_i = i;
- for (int l = 0; l < D; ++l)
- {
- point.push_back(landmarks[k][l] + 2.0*((cell_i%3)-1.0));
- cell_i /= 3;
- }
- landmarks_ext.push_back(point);
- }
- write_points("landmarks/initial_landmarks",landmarks_ext);
- STraits traits(&(landmarks_ext[0]));
- std::vector< std::vector <int> > WL(nbP);
- Tree L(boost::counting_iterator<std::ptrdiff_t>(0),
- boost::counting_iterator<std::ptrdiff_t>(nb_cells*nbL),
- typename Tree::Splitter(),
- traits);
- /*Tree2 L2(boost::counting_iterator<std::ptrdiff_t>(0),
- boost::counting_iterator<std::ptrdiff_t>(nbL),
- typename Tree::Splitter(),
- STraits(&(landmarks[0])));
- */
- std::cout << "Enter (D+1) nearest landmarks\n";
- //std::cout << "Size of the tree is " << L.size() << std::endl;
- for (int i = 0; i < nbP; i++)
- {
- //std::cout << "Entered witness number " << i << std::endl;
- Point_d& w = W[i];
- //std::cout << "Safely constructed a point\n";
- ////Search D+1 nearest neighbours from the tree of landmarks L
- /*
- if (w[0]>0.95)
- std::cout << i << std::endl;
- */
- K_neighbor_search search(L, w, D+1, FT(0), true,
- //CGAL::Distance_adapter<std::ptrdiff_t,Point_d*,Euclidean_distance>(&(landmarks[0])) );
- CGAL::Distance_adapter<std::ptrdiff_t,Point_d*,Euclidean_distance>(&(landmarks_ext[0])) );
- //std::cout << "Safely found nearest landmarks\n";
- for(K_neighbor_search::iterator it = search.begin(); it != search.end(); ++it)
- {
- //std::cout << "Entered KNN_it with point at distance " << it->second << "\n";
- //Point_etiquette_map::iterator itm = L_i.find(it->first);
- //assert(itm != L_i.end());
- //std::cout << "Entered KNN_it with point at distance " << it->second << "\n";
- if (std::find(WL[i].begin(), WL[i].end(), (it->first)%nbL) == WL[i].end())
- WL[i].push_back((it->first)%nbL);
- //std::cout << "ITFIRST " << it->first << std::endl;
- //std::cout << i << " " << it->first << ": " << it->second << std::endl;
- }
- if (i == landmarks_ind[WL[i][0]])
- {
- //std::cout << "'";
- FT dist = ed.transformed_distance(W[i], landmarks[WL[i][1]]);
- if (dist < lambda)
- lambda = dist;
- }
- }
- //std::cout << "\n";
-
- std::string out_file = "wl_result";
- write_wl(out_file,WL);
-
- //******************** Constructng a witness complex
- std::cout << "Entered witness complex construction\n";
- Witness_complex<> witnessComplex;
- witnessComplex.setNbL(nbL);
- witnessComplex.witness_complex(WL);
- /*
- if (witnessComplex.is_witness_complex(WL))
- std::cout << "!!YES. IT IS A WITNESS COMPLEX!!\n";
- else
- std::cout << "??NO. IT IS NOT A WITNESS COMPLEX??\n";
- */
- //******************** Making a set of bad link landmarks
- std::cout << "Entered bad links\n";
- std::set< int > perturbL;
- int count_badlinks = 0;
- //std::cout << "Bad links around ";
- std::vector< int > count_bad(D);
- std::vector< int > count_good(D);
- for (auto u: witnessComplex.complex_vertex_range())
- {
- //std::cout << "Vertex " << u << " ";
- if (!witnessComplex.has_good_link(u, count_bad, count_good))
- {
- //std::cout << "Landmark " << u << " start!" << std::endl;
- //perturbL.insert(u);
- count_badlinks++;
- //std::cout << u << " ";
- Point_d& l = landmarks[u];
- Fuzzy_sphere fs(l, sqrt(lambda), 0, traits);
- std::vector<int> curr_perturb;
- L.search(std::insert_iterator<std::vector<int>>(curr_perturb,curr_perturb.begin()),fs);
- for (int i: curr_perturb)
- perturbL.insert(i%nbL);
- //L.search(std::inserter(perturbL,perturbL.begin()),fs);
- //L.search(std::ostream_iterator<int>(std::cout,"\n"),fs);
- //std::cout << "PerturbL size is " << perturbL.size() << std::endl;
- }
- }
- for (unsigned int i = 0; i != count_good.size(); i++)
- if (count_good[i] != 0)
- std::cout << "count_good[" << i << "] = " << count_good[i] << std::endl;
- for (unsigned int i = 0; i != count_bad.size(); i++)
- if (count_bad[i] != 0)
- std::cout << "count_bad[" << i << "] = " << count_bad[i] << std::endl;
- std::cout << "\nBad links total: " << count_badlinks << " Points to perturb: " << perturbL.size() << std::endl;
- //std::cout << "landmark[0][0] before" << landmarks[0][0] << std::endl;
- //*********************** Perturb bad link landmarks
-
- for (auto u: perturbL)
- {
- Random_point_iterator rp(D,sqrt(lambda)/8);
- //std::cout << landmarks[u] << std::endl;
-
- std::vector<FT> point;
- for (int i = 0; i < D; i++)
- {
- while (K().squared_distance_d_object()(*rp,origin) < lambda/256)
- rp++;
- //FT coord = W[landmarks_ind[u]][i] + (*rp)[i];
- FT coord = landmarks[u][i] + (*rp)[i];
- if (coord > 1)
- point.push_back(coord-1);
- else if (coord < -1)
- point.push_back(coord+1);
- else
- point.push_back(coord);
- }
- landmarks[u] = Point_d(point);
- //std::cout << landmarks[u] << std::endl;
- }
-
- //std::cout << "landmark[0][0] after" << landmarks[0][0] << std::endl;
- std::cout << "lambda=" << lambda << std::endl;
-
- //std::cout << "WL size" << WL.size() << std::endl;
- /*
- std::cout << "L:" << std::endl;
- for (int i = 0; i < landmarks.size(); i++)
- std::cout << landmarks[i] << std::endl;
- */
-
- char buffer[100];
- int i = sprintf(buffer,"stree_result.txt");
-
- if (i >= 0)
- {
- std::string out_file = (std::string)buffer;
- std::ofstream ofs (out_file, std::ofstream::out);
- witnessComplex.st_to_file(ofs);
- ofs.close();
- }
- /*
- i = sprintf(buffer,"badlinks.txt");
- if (i >= 0)
- {
- std::string out_file = (std::string)buffer;
- std::ofstream ofs (out_file, std::ofstream::out);
- witnessComplex.write_bad_links(ofs);
- ofs.close();
- }
- */
- write_edges("landmarks/edges", witnessComplex, landmarks);
- //std::cout << Distance().transformed_distance(Point_d(std::vector<double>({0.1,0.1})), Point_d(std::vector<double>({1.9,1.9}))) << std::endl;
- return count_badlinks;
-}
-
-
-int main (int argc, char * const argv[])
-{
-
- if (argc != 4)
- {
- std::cerr << "Usage: " << argv[0]
- << " nbP nbL dim\n";
- return 0;
- }
- /*
- boost::filesystem::path p;
- for (; argc > 2; --argc, ++argv)
- p /= argv[1];
- */
-
- int nbP = atoi(argv[1]);
- int nbL = atoi(argv[2]);
- int dim = atoi(argv[3]);
- //clock_t start, end;
- //Construct the Simplex Tree
- //Witness_complex<> witnessComplex;
-
- std::cout << "Let the carnage begin!\n";
- Point_Vector point_vector;
- //read_points_cust(file_name, point_vector);
- //generate_points_random_box(point_vector, nbP, dim);
- generate_points_grid(point_vector, (int)pow(nbP, 1.0/dim), dim);
- //nbP = (int)(pow((int)pow(nbP, 1.0/dim), dim));
- /*
- for (auto &p: point_vector)
- {
- assert(std::count(point_vector.begin(),point_vector.end(),p) == 1);
- }
- */
- //std::cout << "Successfully read the points\n";
- //witnessComplex.setNbL(nbL);
- // witnessComplex.witness_complex_from_points(point_vector);
- //int nbP = point_vector.size();
- //std::vector<std::vector< int > > WL(nbP);
- //std::set<int> L;
- Point_Vector L;
- std::vector<int> chosen_landmarks;
- //Point_etiquette_map L_i;
- //start = clock();
- //witnessComplex.landmark_choice_by_furthest_points(point_vector, point_vector.size(), WL);
- bool ok=false;
- while (!ok)
- {
- ok = true;
- L = {};
- chosen_landmarks = {};
- landmark_choice(point_vector, nbP, nbL, L, chosen_landmarks);
-
- //int width = (int)pow(nbL, 1.0/dim); landmark_choice_bcc(point_vector, nbP, width, L, chosen_landmarks);
- for (auto i: chosen_landmarks)
- {
- ok = ok && (std::count(chosen_landmarks.begin(),chosen_landmarks.end(),i) == 1);
- if (!ok) break;
- }
-
- }
- int bl = nbL, curr_min = bl;
- write_points("landmarks/initial_pointset",point_vector);
- //write_points("landmarks/initial_landmarks",L);
- for (int i = 0; i < 1; i++)
- //for (int i = 0; bl > 0; i++)
- {
- std::cout << "========== Start iteration " << i << "== curr_min(" << curr_min << ")========\n";
- bl=landmark_perturbation(point_vector, L, chosen_landmarks);
- if (bl < curr_min)
- curr_min=bl;
- write_points("landmarks/landmarks0",L);
- }
- //end = clock();
-
- /*
- std::cout << "Landmark choice took "
- << (double)(end-start)/CLOCKS_PER_SEC << " s. \n";
- start = clock();
- witnessComplex.witness_complex(WL);
- //
- end = clock();
- std::cout << "Howdy world! The process took "
- << (double)(end-start)/CLOCKS_PER_SEC << " s. \n";
- */
-
- /*
- out_file = "output/"+file_name+"_"+argv[2]+".stree";
- std::ofstream ofs (out_file, std::ofstream::out);
- witnessComplex.st_to_file(ofs);
- ofs.close();
-
- out_file = "output/"+file_name+"_"+argv[2]+".badlinks";
- std::ofstream ofs2(out_file, std::ofstream::out);
- witnessComplex.write_bad_links(ofs2);
- ofs2.close();
- */
-}