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diff --git a/src/Witness_complex/example/witness_complex_perturbations.cpp b/src/Witness_complex/example/witness_complex_perturbations.cpp
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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 <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/Origin.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 std::vector< Vertex_handle > typeVectorVertex;
-
-//typedef std::pair<typeVectorVertex, Filtration_value> typeSimplex;
-//typedef std::pair< Simplex_tree<>::Simplex_handle, bool > typePairSimplexBool;
-
-typedef CGAL::Epick_d<CGAL::Dynamic_dimension_tag> K;
-typedef K::FT FT;
-typedef K::Point_d Point_d;
-typedef CGAL::Search_traits<
- FT, Point_d,
- typename K::Cartesian_const_iterator_d,
- typename K::Construct_cartesian_const_iterator_d> Traits_base;
-typedef CGAL::Search_traits_adapter<
- std::ptrdiff_t, Point_d*, Traits_base> STraits;
-//typedef K TreeTraits;
-typedef CGAL::Orthogonal_k_neighbor_search<STraits> 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 CGAL::Euclidean_distance<Traits_base> Euclidean_distance;
-//typedef K::Equal_d Equal_d;
-typedef CGAL::Random_points_in_ball_d<Point_d> Random_point_iterator;
-/**
- * \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 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();
-}
-
-void write_points( std::string file_name, std::vector< Point_d > & WL)
-{
- std::ofstream ofs (file_name, std::ofstream::out);
- for (auto w : WL)
- {
- for (auto it = w.cartesian_begin(); it != w.cartesian_end(); ++it)
- ofs << *it << " ";
- ofs << "\n";
- }
- ofs.close();
-}
-
-void write_edges_gnuplot(std::string file_name, Witness_complex<>& witness_complex, Point_Vector& landmarks)
-{
- std::ofstream ofs (file_name, std::ofstream::out);
- 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";
- //std::vector<Point_d> landmarks;
- int chosen_landmark;
- //std::pair<Point_etiquette_map::iterator,bool> res = std::make_pair(L_i.begin(),false);
- Point_d* p;
- srand(24660);
- for (int i = 0; i < nbL; i++)
- {
- // while (!res.second)
- // {
- chosen_landmark = rand()%nbP;
- 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;
- }
- }
-*/
-
-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";
- //std::vector<Point_d> landmarks;
- int chosen_landmark = 0;
- //std::pair<Point_etiquette_map::iterator,bool> res = std::make_pair(L_i.begin(),false);
- Point_d* p;
- CGAL::Random rand;
- for (int i = 0; i < nbL; i++)
- {
- // while (!res.second)
- // {
- do chosen_landmark = rand.uniform_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;
- }
- }
-
-
-int landmark_perturbation(Point_Vector &W, Point_Vector& landmarks, std::vector<int>& landmarks_ind)
-{
- //******************** Constructing a WL matrix
- int nbP = W.size();
- int nbL = landmarks.size();
- //Point_Vector landmarks_ = landmarks;
- Euclidean_distance ed;
- //Equal_d ed;
- FT lambda = ed.transformed_distance(landmarks[0],landmarks[1]);
- //FT lambda = 0.1;//Euclidean_distance();
- std::vector< std::vector <int> > WL(nbP);
- Tree L(boost::counting_iterator<std::ptrdiff_t>(0),
- boost::counting_iterator<std::ptrdiff_t>(nbL),
- typename Tree::Splitter(),
- STraits(&(landmarks[0])));
- /*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;
- int D = W[0].size();
- clock_t start, end;
- start = clock();
- 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
- K_neighbor_search search(L, w, D+1, FT(0), true,
- CGAL::Distance_adapter<std::ptrdiff_t,Point_d*,CGAL::Euclidean_distance<Traits_base>>(&(landmarks[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";
- WL[i].push_back(it->first);
- //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 << "\nBad links total: " << count_badlinks << " Points to perturb: " << perturbL.size() << std::endl;
- }
- //std::cout << "\n";
- end = clock();
- std::cout << "WL matrix construction on " << nbL << " landmarks took " << (double)(end-start)/CLOCKS_PER_SEC << "s.\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);
- start = clock();
- witnessComplex.witness_complex(WL);
- end = clock();
- std::cout << "Witness complex construction on " << nbL << " landmarks took " << (double)(end-start)/CLOCKS_PER_SEC << "s.\n";
- //******************** Making a set of bad link landmarks
- std::cout << "Entered bad links\n";
- std::set< int > perturbL;
- int count_badlinks = 0;
- std::vector< int > count_bad(D);
- std::vector< int > count_good(D);
- //std::cout << "Bad links around ";
- for (auto u: witnessComplex.complex_vertex_range())
- 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)*2, 0, STraits(&(landmarks[0])));
- L.search(std::insert_iterator<std::set<int>>(perturbL,perturbL.begin()),fs);
- //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 << "Bad 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)/4);
- //std::cout << landmarks[u] << std::endl;
-
- std::vector<FT> point;
- for (int i = 0; i < D; i++)
- {
- point.push_back(W[landmarks_ind[u]][i] + (*rp)[i]);
- }
- 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;
- // Write the WL matrix in a file
-
- /*
- 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();
- }
- */
- //witnessComplex.write_badlinks("badlinks");
- //write_edges_gnuplot("landmarks/edges", witnessComplex, landmarks);
- return count_badlinks;
-}
-
-
-int main (int argc, char * const argv[])
-{
- if (argc != 3)
- {
- std::cerr << "Usage: " << argv[0]
- << " path_to_point_file nbL \n";
- return 0;
- }
- /*
- boost::filesystem::path p;
-
- for (; argc > 2; --argc, ++argv)
- p /= argv[1];
- */
- std::string file_name = argv[1];
- int nbL = atoi(argv[2]);
-
- //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);
- //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);
- landmark_choice(point_vector, nbP, nbL, L, chosen_landmarks);
- int bl = 1;
-
- mkdir("landmarks", S_IRWXU);
- const size_t last_slash_idx = file_name.find_last_of("/");
- if (std::string::npos != last_slash_idx)
- {
- file_name.erase(0, last_slash_idx + 1);
- }
- write_points("landmarks/initial_pointset",point_vector);
- //write_points("landmarks/initial_landmarks",L);
- //for (int i = 0; bl != 0; i++)
- for (int i = 0; i < 1; i++)
- {
- std::cout << "========== Start iteration " << i << " ========\n";
- bl = landmark_perturbation(point_vector, L, chosen_landmarks);
- std::ostringstream os(std::ostringstream::ate);;
- os << "landmarks/landmarks0";
- write_points(os.str(),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();
- */
-}