diff options
Diffstat (limited to 'utilities/Alpha_complex')
9 files changed, 0 insertions, 1883 deletions
diff --git a/utilities/Alpha_complex/CMakeLists.txt b/utilities/Alpha_complex/CMakeLists.txt deleted file mode 100644 index 7ace6064..00000000 --- a/utilities/Alpha_complex/CMakeLists.txt +++ /dev/null @@ -1,64 +0,0 @@ -project(Alpha_complex_utilities) - -if(CGAL_FOUND) - add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp) - target_link_libraries(alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) - add_executable(exact_alpha_complex_3d_persistence exact_alpha_complex_3d_persistence.cpp) - target_link_libraries(exact_alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) - add_executable(weighted_alpha_complex_3d_persistence weighted_alpha_complex_3d_persistence.cpp) - target_link_libraries(weighted_alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) - - if (TBB_FOUND) - target_link_libraries(alpha_complex_3d_persistence ${TBB_LIBRARIES}) - target_link_libraries(exact_alpha_complex_3d_persistence ${TBB_LIBRARIES}) - target_link_libraries(weighted_alpha_complex_3d_persistence ${TBB_LIBRARIES}) - endif(TBB_FOUND) - - add_test(NAME Alpha_complex_utilities_alpha_complex_3d_persistence COMMAND $<TARGET_FILE:alpha_complex_3d_persistence> - "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45") - add_test(NAME Alpha_complex_utilities_exact_alpha_complex_3d COMMAND $<TARGET_FILE:exact_alpha_complex_3d_persistence> - "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45") - add_test(NAME Alpha_complex_utilities_weighted_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_alpha_complex_3d_persistence> - "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.weights" "-p" "2" "-m" "0.45") - - install(TARGETS alpha_complex_3d_persistence DESTINATION bin) - install(TARGETS exact_alpha_complex_3d_persistence DESTINATION bin) - install(TARGETS weighted_alpha_complex_3d_persistence DESTINATION bin) - - if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0) - add_executable (alpha_complex_persistence alpha_complex_persistence.cpp) - target_link_libraries(alpha_complex_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) - - add_executable(periodic_alpha_complex_3d_persistence periodic_alpha_complex_3d_persistence.cpp) - target_link_libraries(periodic_alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) - - if (TBB_FOUND) - target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES}) - target_link_libraries(periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES}) - endif(TBB_FOUND) - add_test(NAME Alpha_complex_utilities_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence> - "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45") - add_test(NAME Alpha_complex_utilities_periodic_alpha_complex_3d_persistence COMMAND $<TARGET_FILE:periodic_alpha_complex_3d_persistence> - "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt" "-p" "2" "-m" "0") - - install(TARGETS alpha_complex_persistence DESTINATION bin) - install(TARGETS periodic_alpha_complex_3d_persistence DESTINATION bin) - - endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0) - - if (NOT CGAL_VERSION VERSION_LESS 4.11.0) - add_executable(weighted_periodic_alpha_complex_3d_persistence weighted_periodic_alpha_complex_3d_persistence.cpp) - target_link_libraries(weighted_periodic_alpha_complex_3d_persistence ${CGAL_LIBRARY}) - if (TBB_FOUND) - target_link_libraries(weighted_periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES}) - endif(TBB_FOUND) - - add_test(NAME Alpha_complex_utilities_weigted_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_periodic_alpha_complex_3d_persistence> - "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights" - "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt" "3" "1.0") - - install(TARGETS weighted_periodic_alpha_complex_3d_persistence DESTINATION bin) - - endif (NOT CGAL_VERSION VERSION_LESS 4.11.0) - -endif(CGAL_FOUND) diff --git a/utilities/Alpha_complex/alpha_complex_3d_helper.h b/utilities/Alpha_complex/alpha_complex_3d_helper.h deleted file mode 100644 index a72fd96d..00000000 --- a/utilities/Alpha_complex/alpha_complex_3d_helper.h +++ /dev/null @@ -1,74 +0,0 @@ -/* 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): Vincent Rouvreau - * - * Copyright (C) 2014 Inria - * - * 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/>. - */ - -#ifndef ALPHA_COMPLEX_3D_HELPER_H_ -#define ALPHA_COMPLEX_3D_HELPER_H_ - -template <class Vertex_list, class Cell_handle> -Vertex_list from_cell(const Cell_handle& ch) { - Vertex_list the_list; - for (auto i = 0; i < 4; i++) { -#ifdef DEBUG_TRACES - std::cout << "from cell[" << i << "]=" << ch->vertex(i)->point() << std::endl; -#endif // DEBUG_TRACES - the_list.push_back(ch->vertex(i)); - } - return the_list; -} - -template <class Vertex_list, class Facet> -Vertex_list from_facet(const Facet& fct) { - Vertex_list the_list; - for (auto i = 0; i < 4; i++) { - if (fct.second != i) { -#ifdef DEBUG_TRACES - std::cout << "from facet=[" << i << "]" << fct.first->vertex(i)->point() << std::endl; -#endif // DEBUG_TRACES - the_list.push_back(fct.first->vertex(i)); - } - } - return the_list; -} - -template <class Vertex_list, class Edge_3> -Vertex_list from_edge(const Edge_3& edg) { - Vertex_list the_list; - for (auto i : {edg.second, edg.third}) { -#ifdef DEBUG_TRACES - std::cout << "from edge[" << i << "]=" << edg.first->vertex(i)->point() << std::endl; -#endif // DEBUG_TRACES - the_list.push_back(edg.first->vertex(i)); - } - return the_list; -} - -template <class Vertex_list, class Vertex_handle> -Vertex_list from_vertex(const Vertex_handle& vh) { - Vertex_list the_list; -#ifdef DEBUG_TRACES - std::cout << "from vertex=" << vh->point() << std::endl; -#endif // DEBUG_TRACES - the_list.push_back(vh); - return the_list; -} - -#endif // ALPHA_COMPLEX_3D_HELPER_H_ diff --git a/utilities/Alpha_complex/alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/alpha_complex_3d_persistence.cpp deleted file mode 100644 index 6e603155..00000000 --- a/utilities/Alpha_complex/alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,271 +0,0 @@ -/* 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): Vincent Rouvreau - * - * Copyright (C) 2014 Inria - * - * 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 <boost/version.hpp> -#include <boost/program_options.hpp> -#include <boost/variant.hpp> - -#if BOOST_VERSION >= 105400 -#include <boost/container/static_vector.hpp> -#endif - -#include <gudhi/Simplex_tree.h> -#include <gudhi/Persistent_cohomology.h> -#include <gudhi/Points_3D_off_io.h> - -#include <CGAL/Exact_predicates_inexact_constructions_kernel.h> -#include <CGAL/Delaunay_triangulation_3.h> -#include <CGAL/Alpha_shape_3.h> -#include <CGAL/Alpha_shape_cell_base_3.h> -#include <CGAL/Alpha_shape_vertex_base_3.h> -#include <CGAL/iterator.h> - -#include <fstream> -#include <cmath> -#include <string> -#include <tuple> -#include <map> -#include <utility> -#include <vector> -#include <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Alpha_shape_3 templates type definitions -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; -using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel>; -using Fb = CGAL::Alpha_shape_cell_base_3<Kernel>; -using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>; -using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>; -using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>; - -// From file type definition -using Point_3 = Kernel::Point_3; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; - -#if BOOST_VERSION >= 105400 -using Vertex_list = boost::container::static_vector<Alpha_shape_3::Vertex_handle, 4>; -#else -using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>; -#endif - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag, - int &coeff_field_characteristic, Filtration_value &min_persistence); - -int main(int argc, char **argv) { - std::string off_file_points; - std::string output_file_diag; - int coeff_field_characteristic; - Filtration_value min_persistence; - - program_options(argc, argv, off_file_points, output_file_diag, coeff_field_characteristic, min_persistence); - - // Read the OFF file (input file name given as parameter) and triangulate points - Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points); - // Check the read operation was correct - if (!off_reader.is_valid()) { - std::cerr << "Unable to read file " << off_file_points << std::endl; - exit(-1); - } - - // Retrieve the points - std::vector<Point_3> lp = off_reader.get_point_cloud(); - - // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. - Alpha_shape_3 as(lp.begin(), lp.end(), 0, Alpha_shape_3::GENERAL); -#ifdef DEBUG_TRACES - std::cout << "Alpha shape computed in GENERAL mode" << std::endl; -#endif // DEBUG_TRACES - - // filtration with alpha values from alpha shape - std::vector<Object> the_objects; - std::vector<Alpha_value_type> the_alpha_values; - - Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects), - std::back_inserter(the_alpha_values)); - - as.filtration_with_alpha_values(disp); -#ifdef DEBUG_TRACES - std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl; -#endif // DEBUG_TRACES - - Alpha_shape_3::size_type count_vertices = 0; - Alpha_shape_3::size_type count_edges = 0; - Alpha_shape_3::size_type count_facets = 0; - Alpha_shape_3::size_type count_cells = 0; - - // Loop on objects vector - Vertex_list vertex_list; - ST simplex_tree; - Alpha_shape_simplex_tree_map map_cgal_simplex_tree; - std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin(); - for (auto object_iterator : the_objects) { - // Retrieve Alpha shape vertex list from object - if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) { - vertex_list = from_cell<Vertex_list, Cell_handle>(*cell); - count_cells++; - } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) { - vertex_list = from_facet<Vertex_list, Facet>(*facet); - count_facets++; - } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) { - vertex_list = from_edge<Vertex_list, Edge_3>(*edge); - count_edges++; - } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { - count_vertices++; - vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex); - } - // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex - Simplex_tree_vector_vertex the_simplex; - for (auto the_alpha_shape_vertex : vertex_list) { - Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex); - if (the_map_iterator == map_cgal_simplex_tree.end()) { - // alpha shape not found - Simplex_tree_vertex vertex = map_cgal_simplex_tree.size(); -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex); - } else { - // alpha shape found - Simplex_tree_vertex vertex = the_map_iterator->second; -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - } - } - // Construction of the simplex_tree - Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - simplex_tree.insert_simplex(the_simplex, filtr); - GUDHI_CHECK(the_alpha_value_iterator != the_alpha_values.end(), "CGAL provided more simplices than values"); - ++the_alpha_value_iterator; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - // Output the diagram in filediag - if (output_file_diag.empty()) { - pcoh.output_diagram(); - } else { - std::cout << "Result in file: " << output_file_diag << std::endl; - std::ofstream out(output_file_diag); - pcoh.output_diagram(out); - out.close(); - } - - return 0; -} - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag, - int &coeff_field_characteristic, Filtration_value &min_persistence) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options()("input-file", po::value<std::string>(&off_file_points), - "Name of file containing a point set. Format is one point per line: X1 ... Xd "); - - po::options_description visible("Allowed options", 100); - visible.add_options()("help,h", "produce help message")( - "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()), - "Name of file in which the persistence diagram is written. Default print in std::cout")( - "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11), - "Characteristic p of the coefficient field Z/pZ for computing homology.")( - "min-persistence,m", po::value<Filtration_value>(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length " - "intervals"); - - po::positional_options_description pos; - pos.add("input-file", 1); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; - std::cout << "of a 3D Alpha complex defined on a set of input points.\n \n"; - std::cout << "The output diagram contains one bar per line, written with the convention: \n"; - std::cout << " p dim b d \n"; - std::cout << "where dim is the dimension of the homological feature,\n"; - std::cout << "b and d are respectively the birth and death of the feature and \n"; - std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; - - std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; - std::cout << visible << std::endl; - exit(-1); - } -} diff --git a/utilities/Alpha_complex/alpha_complex_persistence.cpp b/utilities/Alpha_complex/alpha_complex_persistence.cpp deleted file mode 100644 index 8e6c40b7..00000000 --- a/utilities/Alpha_complex/alpha_complex_persistence.cpp +++ /dev/null @@ -1,138 +0,0 @@ -/* 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): Vincent Rouvreau - * - * Copyright (C) 2016 Inria - * - * 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 <boost/program_options.hpp> - -#include <CGAL/Epick_d.h> - -#include <gudhi/Alpha_complex.h> -#include <gudhi/Persistent_cohomology.h> -// to construct a simplex_tree from alpha complex -#include <gudhi/Simplex_tree.h> - -#include <iostream> -#include <string> -#include <limits> // for numeric_limits - -using Simplex_tree = Gudhi::Simplex_tree<>; -using Filtration_value = Simplex_tree::Filtration_value; - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag, - Filtration_value &alpha_square_max_value, int &coeff_field_characteristic, - Filtration_value &min_persistence); - -int main(int argc, char **argv) { - std::string off_file_points; - std::string output_file_diag; - Filtration_value alpha_square_max_value; - int coeff_field_characteristic; - Filtration_value min_persistence; - - program_options(argc, argv, off_file_points, output_file_diag, alpha_square_max_value, coeff_field_characteristic, - min_persistence); - - // ---------------------------------------------------------------------------- - // Init of an alpha complex from an OFF file - // ---------------------------------------------------------------------------- - using Kernel = CGAL::Epick_d<CGAL::Dynamic_dimension_tag>; - Gudhi::alpha_complex::Alpha_complex<Kernel> alpha_complex_from_file(off_file_points); - - Simplex_tree simplex; - if (alpha_complex_from_file.create_complex(simplex, alpha_square_max_value)) { - // ---------------------------------------------------------------------------- - // Display information about the alpha complex - // ---------------------------------------------------------------------------- - std::cout << "Simplicial complex is of dimension " << simplex.dimension() << " - " << simplex.num_simplices() - << " simplices - " << simplex.num_vertices() << " vertices." << std::endl; - - // Sort the simplices in the order of the filtration - simplex.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex.dimension() << std::endl; - // Compute the persistence diagram of the complex - Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Gudhi::persistent_cohomology::Field_Zp> pcoh( - simplex); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - // Output the diagram in filediag - if (output_file_diag.empty()) { - pcoh.output_diagram(); - } else { - std::cout << "Result in file: " << output_file_diag << std::endl; - std::ofstream out(output_file_diag); - pcoh.output_diagram(out); - out.close(); - } - } - - return 0; -} - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag, - Filtration_value &alpha_square_max_value, int &coeff_field_characteristic, - Filtration_value &min_persistence) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options()("input-file", po::value<std::string>(&off_file_points), - "Name of file containing a point set. Format is one point per line: X1 ... Xd "); - - po::options_description visible("Allowed options", 100); - visible.add_options()("help,h", "produce help message")( - "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()), - "Name of file in which the persistence diagram is written. Default print in std::cout")( - "max-alpha-square-value,r", po::value<Filtration_value>(&alpha_square_max_value) - ->default_value(std::numeric_limits<Filtration_value>::infinity()), - "Maximal alpha square value for the Alpha complex construction.")( - "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11), - "Characteristic p of the coefficient field Z/pZ for computing homology.")( - "min-persistence,m", po::value<Filtration_value>(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length " - "intervals"); - - po::positional_options_description pos; - pos.add("input-file", 1); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; - std::cout << "of an Alpha complex defined on a set of input points.\n \n"; - std::cout << "The output diagram contains one bar per line, written with the convention: \n"; - std::cout << " p dim b d \n"; - std::cout << "where dim is the dimension of the homological feature,\n"; - std::cout << "b and d are respectively the birth and death of the feature and \n"; - std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; - - std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; - std::cout << visible << std::endl; - exit(-1); - } -} diff --git a/utilities/Alpha_complex/alphacomplex.md b/utilities/Alpha_complex/alphacomplex.md deleted file mode 100644 index 0fe98837..00000000 --- a/utilities/Alpha_complex/alphacomplex.md +++ /dev/null @@ -1,165 +0,0 @@ ----
-layout: page
-title: "Alpha complex"
-meta_title: "Alpha complex"
-teaser: ""
-permalink: /alphacomplex/
----
-{::comment}
-Leave the lines above as it is required by the web site generator 'Jekyll'
-{:/comment}
-
-
-## alpha_complex_persistence ##
-
-This program computes the persistent homology with coefficient field Z/pZ of the dD alpha complex built from a dD point cloud.
-The output diagram contains one bar per line, written with the convention:
-
-```
- p dim birth death
-```
-
-where `dim` is the dimension of the homological feature, `birth` and `death` are respectively the birth and death of the feature,
-and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p` must be a prime number).
-
-**Usage**
-
-```
- alpha_complex_persistence [options] <input OFF file>
-```
-
-where
-`<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
-
-**Allowed options**
-
-* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-r [ --max-alpha-square-value ]` (default = inf) Maximal alpha square value for the Alpha complex construction.
-* `-p [ --field-charac ]` (default = 11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals.
-
-**Example**
-
-```
- alpha_complex_persistence -r 32 -p 2 -m 0.45 ../../data/points/tore3D_300.off
-```
-
-N.B.:
-
-* Filtration values are alpha square values.
-
-
-## alpha_complex_3d_persistence ##
-This program computes the persistent homology with coefficient field Z/pZ of the 3D alpha complex built from a 3D point cloud. The output diagram contains one bar per line, written with the convention:
-
-```
-p dim birth death
-```
-
-where `dim` is the dimension of the homological feature, `birth` and `death` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p` must be a prime number).
-
-**Usage**
-
-```
- alpha_complex_3d_persistence [options] <input OFF file>
-```
-
-where `<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
-
-**Allowed options**
-
-* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-p [ --field-charac ]` (default=11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals.
-
-**Example**
-
-```
-alpha_complex_3d_persistence ../../data/points/tore3D_300.off -p 2 -m 0.45
-```
-
-N.B.:
-
-* `alpha_complex_3d_persistence` only accepts OFF files in dimension 3.
-* Filtration values are alpha square values.
-
-
-## exact_alpha_complex_3d_persistence ##
-
-Same as `alpha_complex_3d_persistence`, but using exact computation.
-It is slower, but it is necessary when points are on a grid for instance.
-
-
-
-## weighted_alpha_complex_3d_persistence ##
-
-Same as `alpha_complex_3d_persistence`, but using weighted points.
-
-**Usage**
-
-```
- weighted_alpha_complex_3d_persistence [options] <input OFF file> <weights input file>
-```
-
-where
-
-* `<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
-* `<input weights file>` is the path to the file containing the weights of the points (one value per line).
-
-**Allowed options**
-
-* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-p [ --field-charac ]` (default=11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals.
-
-**Example**
-
-```
- weighted_alpha_complex_3d_persistence ../../data/points/tore3D_300.off ../../data/points/tore3D_300.weights -p 2 -m 0.45
-```
-
-
-N.B.:
-
-* Weights values are explained on CGAL [Alpha shape](https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title0)
-and [Regular triangulation](https://doc.cgal.org/latest/Triangulation_3/index.html#Triangulation3secclassRegulartriangulation) documentation.
-* Filtration values are alpha square values.
-
-
-## periodic_alpha_complex_3d_persistence ##
-Same as `alpha_complex_3d_persistence`, but using periodic alpha shape 3d.
-Refer to the [CGAL's 3D Periodic Triangulations User Manual](https://doc.cgal.org/latest/Periodic_3_triangulation_3/index.html) for more details.
-
-**Usage**
-
-```
- periodic_alpha_complex_3d_persistence [options] <input OFF file> <cuboid file>
-```
-
-where
-
-* `<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
-* `<cuboid file>` is the path to the file describing the periodic domain. It must be in the format described
-[here](/doc/latest/fileformats.html#FileFormatsIsoCuboid).
-
-**Allowed options**
-
-* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-p [ --field-charac ]` (default=11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals
-
-
-**Example**
-
-```
-periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off ../../data/points/iso_cuboid_3_in_0_1.txt -p 3 -m 1.0
-```
-
-N.B.:
-
-* Cuboid file must be in the format described [here](/doc/latest/fileformats.html#FileFormatsIsoCuboid).
-* Filtration values are alpha square values.
diff --git a/utilities/Alpha_complex/exact_alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/exact_alpha_complex_3d_persistence.cpp deleted file mode 100644 index 61f49bb1..00000000 --- a/utilities/Alpha_complex/exact_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,265 +0,0 @@ -/* 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): Vincent Rouvreau - * - * Copyright (C) 2014 Inria - * - * 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 <boost/program_options.hpp> -#include <boost/variant.hpp> - -#include <gudhi/Simplex_tree.h> -#include <gudhi/Persistent_cohomology.h> -#include <gudhi/Points_3D_off_io.h> - -#include <CGAL/Exact_predicates_inexact_constructions_kernel.h> -#include <CGAL/Delaunay_triangulation_3.h> -#include <CGAL/Alpha_shape_3.h> -#include <CGAL/Alpha_shape_cell_base_3.h> -#include <CGAL/Alpha_shape_vertex_base_3.h> -#include <CGAL/iterator.h> - -#include <fstream> -#include <cmath> -#include <string> -#include <tuple> -#include <map> -#include <utility> -#include <vector> -#include <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Alpha_shape_3 templates type definitions -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; -using Exact_tag = CGAL::Tag_true; -using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel, CGAL::Default, Exact_tag>; -using Fb = CGAL::Alpha_shape_cell_base_3<Kernel, CGAL::Default, Exact_tag>; -using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>; -using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>; -using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3, Exact_tag>; - -// From file type definition -using Point_3 = Kernel::Point_3; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::vector<Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag, - int &coeff_field_characteristic, Filtration_value &min_persistence); - -int main(int argc, char **argv) { - std::string off_file_points; - std::string output_file_diag; - int coeff_field_characteristic; - Filtration_value min_persistence; - - program_options(argc, argv, off_file_points, output_file_diag, coeff_field_characteristic, min_persistence); - - // Read the OFF file (input file name given as parameter) and triangulate points - Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points); - // Check the read operation was correct - if (!off_reader.is_valid()) { - std::cerr << "Unable to read file " << off_file_points << std::endl; - exit(-1); - } - - // Retrieve the points - std::vector<Point_3> lp = off_reader.get_point_cloud(); - - // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. - Alpha_shape_3 as(lp.begin(), lp.end(), 0, Alpha_shape_3::GENERAL); -#ifdef DEBUG_TRACES - std::cout << "Alpha shape computed in GENERAL mode" << std::endl; -#endif // DEBUG_TRACES - - // filtration with alpha values from alpha shape - std::vector<Object> the_objects; - std::vector<Alpha_value_type> the_alpha_values; - - Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects), - std::back_inserter(the_alpha_values)); - - as.filtration_with_alpha_values(disp); -#ifdef DEBUG_TRACES - std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl; -#endif // DEBUG_TRACES - - Alpha_shape_3::size_type count_vertices = 0; - Alpha_shape_3::size_type count_edges = 0; - Alpha_shape_3::size_type count_facets = 0; - Alpha_shape_3::size_type count_cells = 0; - - // Loop on objects vector - Vertex_list vertex_list; - ST simplex_tree; - Alpha_shape_simplex_tree_map map_cgal_simplex_tree; - std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin(); - for (auto object_iterator : the_objects) { - // Retrieve Alpha shape vertex list from object - if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) { - vertex_list = from_cell<Vertex_list, Cell_handle>(*cell); - count_cells++; - } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) { - vertex_list = from_facet<Vertex_list, Facet>(*facet); - count_facets++; - } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) { - vertex_list = from_edge<Vertex_list, Edge_3>(*edge); - count_edges++; - } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { - count_vertices++; - vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex); - } - // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex - Simplex_tree_vector_vertex the_simplex; - for (auto the_alpha_shape_vertex : vertex_list) { - Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex); - if (the_map_iterator == map_cgal_simplex_tree.end()) { - // alpha shape not found - Simplex_tree_vertex vertex = map_cgal_simplex_tree.size(); -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex); - } else { - // alpha shape found - Simplex_tree_vertex vertex = the_map_iterator->second; -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - } - } - // Construction of the simplex_tree - // you can also use the_alpha_value_iterator->exact() - Filtration_value filtr = /*std::sqrt*/ CGAL::to_double(the_alpha_value_iterator->exact()); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - simplex_tree.insert_simplex(the_simplex, filtr); - if (the_alpha_value_iterator != the_alpha_values.end()) - ++the_alpha_value_iterator; - else - std::cout << "This shall not happen" << std::endl; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - // Output the diagram in filediag - if (output_file_diag.empty()) { - pcoh.output_diagram(); - } else { - std::cout << "Result in file: " << output_file_diag << std::endl; - std::ofstream out(output_file_diag); - pcoh.output_diagram(out); - out.close(); - } - - return 0; -} - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag, - int &coeff_field_characteristic, Filtration_value &min_persistence) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options()("input-file", po::value<std::string>(&off_file_points), - "Name of file containing a point set. Format is one point per line: X1 ... Xd "); - - po::options_description visible("Allowed options", 100); - visible.add_options()("help,h", "produce help message")( - "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()), - "Name of file in which the persistence diagram is written. Default print in std::cout")( - "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11), - "Characteristic p of the coefficient field Z/pZ for computing homology.")( - "min-persistence,m", po::value<Filtration_value>(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length " - "intervals"); - - po::positional_options_description pos; - pos.add("input-file", 1); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; - std::cout << "of a 3D Alpha complex defined on a set of input points.\n \n"; - std::cout << "The output diagram contains one bar per line, written with the convention: \n"; - std::cout << " p dim b d \n"; - std::cout << "where dim is the dimension of the homological feature,\n"; - std::cout << "b and d are respectively the birth and death of the feature and \n"; - std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; - - std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl; - std::cout << visible << std::endl; - exit(-1); - } -} diff --git a/utilities/Alpha_complex/periodic_alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/periodic_alpha_complex_3d_persistence.cpp deleted file mode 100644 index a261c5a3..00000000 --- a/utilities/Alpha_complex/periodic_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,302 +0,0 @@ -/* 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): Vincent Rouvreau - * Pawel Dlotko - 2017 - Swansea University, UK - * - * Copyright (C) 2014 Inria - * - * 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 <boost/program_options.hpp> -#include <boost/variant.hpp> - -#include <gudhi/Simplex_tree.h> -#include <gudhi/Persistent_cohomology.h> -#include <gudhi/Points_3D_off_io.h> - -#include <CGAL/Exact_predicates_inexact_constructions_kernel.h> -#include <CGAL/Periodic_3_Delaunay_triangulation_traits_3.h> -#include <CGAL/Periodic_3_Delaunay_triangulation_3.h> -#include <CGAL/Alpha_shape_3.h> -#include <CGAL/Alpha_shape_cell_base_3.h> -#include <CGAL/Alpha_shape_vertex_base_3.h> -#include <CGAL/iterator.h> - -#include <fstream> -#include <cmath> -#include <string> -#include <tuple> -#include <map> -#include <utility> -#include <vector> -#include <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Traits -using K = CGAL::Exact_predicates_inexact_constructions_kernel; -using PK = CGAL::Periodic_3_Delaunay_triangulation_traits_3<K>; -// Vertex type -using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>; -using Vb = CGAL::Triangulation_vertex_base_3<PK, DsVb>; -using AsVb = CGAL::Alpha_shape_vertex_base_3<PK, Vb>; -// Cell type -using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>; -using Cb = CGAL::Triangulation_cell_base_3<PK, DsCb>; -using AsCb = CGAL::Alpha_shape_cell_base_3<PK, Cb>; -using Tds = CGAL::Triangulation_data_structure_3<AsVb, AsCb>; -using P3DT3 = CGAL::Periodic_3_Delaunay_triangulation_3<PK, Tds>; -using Alpha_shape_3 = CGAL::Alpha_shape_3<P3DT3>; -using Point_3 = PK::Point_3; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &cuboid_file, - std::string &output_file_diag, int &coeff_field_characteristic, Filtration_value &min_persistence); - -int main(int argc, char **argv) { - std::string off_file_points; - std::string cuboid_file; - std::string output_file_diag; - int coeff_field_characteristic; - Filtration_value min_persistence; - - program_options(argc, argv, off_file_points, cuboid_file, output_file_diag, coeff_field_characteristic, - min_persistence); - - // Read the OFF file (input file name given as parameter) and triangulate points - Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points); - // Check the read operation was correct - if (!off_reader.is_valid()) { - std::cerr << "Unable to read OFF file " << off_file_points << std::endl; - exit(-1); - } - - // Read iso_cuboid_3 information from file - std::ifstream iso_cuboid_str(cuboid_file); - double x_min, y_min, z_min, x_max, y_max, z_max; - if (iso_cuboid_str.good()) { - iso_cuboid_str >> x_min >> y_min >> z_min >> x_max >> y_max >> z_max; - } else { - std::cerr << "Unable to read file " << cuboid_file << std::endl; - exit(-1); - } - // Checking if the cuboid is the same in x,y and z direction. If not, CGAL will not process it. - if ((x_max - x_min != y_max - y_min) || (x_max - x_min != z_max - z_min) || (z_max - z_min != y_max - y_min)) { - std::cerr << "The size of the cuboid in every directions is not the same." << std::endl; - exit(-1); - } - - // Retrieve the points - std::vector<Point_3> lp = off_reader.get_point_cloud(); - - // Define the periodic cube - P3DT3 pdt(PK::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max)); - // Heuristic for inserting large point sets (if pts is reasonably large) - pdt.insert(lp.begin(), lp.end(), true); - // As pdt won't be modified anymore switch to 1-sheeted cover if possible - if (pdt.is_triangulation_in_1_sheet()) { - pdt.convert_to_1_sheeted_covering(); - } else { - std::cerr << "ERROR: we were not able to construct a triangulation within a single periodic domain." << std::endl; - exit(-1); - } - std::cout << "Periodic Delaunay computed." << std::endl; - - // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. This is the default mode - // Maybe need to set it to GENERAL mode - Alpha_shape_3 as(pdt, 0, Alpha_shape_3::GENERAL); - - // filtration with alpha values from alpha shape - std::vector<Object> the_objects; - std::vector<Alpha_value_type> the_alpha_values; - - Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects), - std::back_inserter(the_alpha_values)); - - as.filtration_with_alpha_values(disp); -#ifdef DEBUG_TRACES - std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl; -#endif // DEBUG_TRACES - - Alpha_shape_3::size_type count_vertices = 0; - Alpha_shape_3::size_type count_edges = 0; - Alpha_shape_3::size_type count_facets = 0; - Alpha_shape_3::size_type count_cells = 0; - - // Loop on objects vector - Vertex_list vertex_list; - ST simplex_tree; - Alpha_shape_simplex_tree_map map_cgal_simplex_tree; - std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin(); - for (auto object_iterator : the_objects) { - // Retrieve Alpha shape vertex list from object - if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) { - vertex_list = from_cell<Vertex_list, Cell_handle>(*cell); - count_cells++; - } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) { - vertex_list = from_facet<Vertex_list, Facet>(*facet); - count_facets++; - } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) { - vertex_list = from_edge<Vertex_list, Edge_3>(*edge); - count_edges++; - } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { - count_vertices++; - vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex); - } - // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex - Simplex_tree_vector_vertex the_simplex; - for (auto the_alpha_shape_vertex : vertex_list) { - Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex); - if (the_map_iterator == map_cgal_simplex_tree.end()) { - // alpha shape not found - Simplex_tree_vertex vertex = map_cgal_simplex_tree.size(); -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex); - } else { - // alpha shape found - Simplex_tree_vertex vertex = the_map_iterator->second; -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - } - } - // Construction of the simplex_tree - Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - simplex_tree.insert_simplex(the_simplex, filtr); - if (the_alpha_value_iterator != the_alpha_values.end()) - ++the_alpha_value_iterator; - else - std::cout << "This shall not happen" << std::endl; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - // Output the diagram in filediag - if (output_file_diag.empty()) { - pcoh.output_diagram(); - } else { - std::cout << "Result in file: " << output_file_diag << std::endl; - std::ofstream out(output_file_diag); - pcoh.output_diagram(out); - out.close(); - } - - return 0; -} - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &cuboid_file, - std::string &output_file_diag, int &coeff_field_characteristic, - Filtration_value &min_persistence) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options()("input-file", po::value<std::string>(&off_file_points), - "Name of file containing a point set. Format is one point per line: X1 ... Xd ")( - "cuboid-file", po::value<std::string>(&cuboid_file), - "Name of file describing the periodic domain. Format is: min_hx min_hy min_hz\nmax_hx max_hy max_hz"); - - po::options_description visible("Allowed options", 100); - visible.add_options()("help,h", "produce help message")( - "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()), - "Name of file in which the persistence diagram is written. Default print in std::cout")( - "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11), - "Characteristic p of the coefficient field Z/pZ for computing homology.")( - "min-persistence,m", po::value<Filtration_value>(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length " - "intervals"); - - po::positional_options_description pos; - pos.add("input-file", 1); - pos.add("cuboid-file", 2); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file") || !vm.count("cuboid-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; - std::cout << "of a periodic 3D Alpha complex defined on a set of input points.\n \n"; - std::cout << "The output diagram contains one bar per line, written with the convention: \n"; - std::cout << " p dim b d \n"; - std::cout << "where dim is the dimension of the homological feature,\n"; - std::cout << "b and d are respectively the birth and death of the feature and \n"; - std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; - - std::cout << "Usage: " << argv[0] << " [options] input-file cuboid-file" << std::endl << std::endl; - std::cout << visible << std::endl; - exit(-1); - } -} diff --git a/utilities/Alpha_complex/weighted_alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/weighted_alpha_complex_3d_persistence.cpp deleted file mode 100644 index aa7ddee2..00000000 --- a/utilities/Alpha_complex/weighted_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,316 +0,0 @@ -/* 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): Vincent Rouvreau - * - * Copyright (C) 2014 Inria - * - * 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 <boost/program_options.hpp> -#include <boost/variant.hpp> - -#include <gudhi/Simplex_tree.h> -#include <gudhi/Persistent_cohomology.h> -#include <gudhi/Points_3D_off_io.h> - -#include <CGAL/config.h> -#include <CGAL/Exact_predicates_inexact_constructions_kernel.h> -#include <CGAL/Regular_triangulation_3.h> -#include <CGAL/Alpha_shape_3.h> -#include <CGAL/Alpha_shape_cell_base_3.h> -#include <CGAL/Alpha_shape_vertex_base_3.h> -#include <CGAL/iterator.h> - -// For CGAL < 4.11 -#if CGAL_VERSION_NR < 1041100000 -#include <CGAL/Regular_triangulation_euclidean_traits_3.h> -#endif // CGAL_VERSION_NR < 1041100000 - -#include <fstream> -#include <cmath> -#include <string> -#include <tuple> -#include <map> -#include <utility> -#include <vector> -#include <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Alpha_shape_3 templates type definitions -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; - -// For CGAL < 4.11 -#if CGAL_VERSION_NR < 1041100000 -using Gt = CGAL::Regular_triangulation_euclidean_traits_3<Kernel>; -using Vb = CGAL::Alpha_shape_vertex_base_3<Gt>; -using Fb = CGAL::Alpha_shape_cell_base_3<Gt>; -using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>; -using Triangulation_3 = CGAL::Regular_triangulation_3<Gt, Tds>; - -// From file type definition -using Point_3 = Gt::Bare_point; -using Weighted_point_3 = Gt::Weighted_point; - -// For CGAL >= 4.11 -#else // CGAL_VERSION_NR < 1041100000 -using Rvb = CGAL::Regular_triangulation_vertex_base_3<Kernel>; -using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel, Rvb>; -using Rcb = CGAL::Regular_triangulation_cell_base_3<Kernel>; -using Cb = CGAL::Alpha_shape_cell_base_3<Kernel, Rcb>; -using Tds = CGAL::Triangulation_data_structure_3<Vb, Cb>; -using Triangulation_3 = CGAL::Regular_triangulation_3<Kernel, Tds>; - -// From file type definition -using Point_3 = Triangulation_3::Bare_point; -using Weighted_point_3 = Triangulation_3::Weighted_point; -#endif // CGAL_VERSION_NR < 1041100000 - -using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &weight_file, - std::string &output_file_diag, int &coeff_field_characteristic, Filtration_value &min_persistence); - -int main(int argc, char **argv) { - std::string off_file_points; - std::string weight_file; - std::string output_file_diag; - int coeff_field_characteristic; - Filtration_value min_persistence; - - program_options(argc, argv, off_file_points, weight_file, output_file_diag, coeff_field_characteristic, - min_persistence); - - // Read the OFF file (input file name given as parameter) and triangulate points - Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points); - // Check the read operation was correct - if (!off_reader.is_valid()) { - std::cerr << "Unable to read OFF file " << off_file_points << std::endl; - exit(-1); - } - - // Retrieve the points - std::vector<Point_3> lp = off_reader.get_point_cloud(); - - // Read weights information from file - std::ifstream weights_ifstr(weight_file); - std::vector<Weighted_point_3> wp; - if (weights_ifstr.good()) { - double weight = 0.0; - std::size_t index = 0; - wp.reserve(lp.size()); - // Attempt read the weight in a double format, return false if it fails - while ((weights_ifstr >> weight) && (index < lp.size())) { - wp.push_back(Weighted_point_3(lp[index], weight)); - index++; - } - if (index != lp.size()) { - std::cerr << "Bad number of weights in file " << weight_file << std::endl; - exit(-1); - } - } else { - std::cerr << "Unable to read weights file " << weight_file << std::endl; - exit(-1); - } - - // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. - Alpha_shape_3 as(wp.begin(), wp.end(), 0, Alpha_shape_3::GENERAL); -#ifdef DEBUG_TRACES - std::cout << "Alpha shape computed in GENERAL mode" << std::endl; -#endif // DEBUG_TRACES - - // filtration with alpha values from alpha shape - std::vector<Object> the_objects; - std::vector<Alpha_value_type> the_alpha_values; - - Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects), - std::back_inserter(the_alpha_values)); - - as.filtration_with_alpha_values(disp); -#ifdef DEBUG_TRACES - std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl; -#endif // DEBUG_TRACES - - Alpha_shape_3::size_type count_vertices = 0; - Alpha_shape_3::size_type count_edges = 0; - Alpha_shape_3::size_type count_facets = 0; - Alpha_shape_3::size_type count_cells = 0; - - // Loop on objects vector - Vertex_list vertex_list; - ST simplex_tree; - Alpha_shape_simplex_tree_map map_cgal_simplex_tree; - std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin(); - for (auto object_iterator : the_objects) { - // Retrieve Alpha shape vertex list from object - if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) { - vertex_list = from_cell<Vertex_list, Cell_handle>(*cell); - count_cells++; - } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) { - vertex_list = from_facet<Vertex_list, Facet>(*facet); - count_facets++; - } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) { - vertex_list = from_edge<Vertex_list, Edge_3>(*edge); - count_edges++; - } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { - count_vertices++; - vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex); - } - // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex - Simplex_tree_vector_vertex the_simplex; - for (auto the_alpha_shape_vertex : vertex_list) { - Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex); - if (the_map_iterator == map_cgal_simplex_tree.end()) { - // alpha shape not found - Simplex_tree_vertex vertex = map_cgal_simplex_tree.size(); -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex); - } else { - // alpha shape found - Simplex_tree_vertex vertex = the_map_iterator->second; -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - } - } - // Construction of the simplex_tree - Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - simplex_tree.insert_simplex(the_simplex, filtr); - if (the_alpha_value_iterator != the_alpha_values.end()) - ++the_alpha_value_iterator; - else - std::cout << "This shall not happen" << std::endl; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - // Output the diagram in filediag - if (output_file_diag.empty()) { - pcoh.output_diagram(); - } else { - std::cout << "Result in file: " << output_file_diag << std::endl; - std::ofstream out(output_file_diag); - pcoh.output_diagram(out); - out.close(); - } - - return 0; -} - -void program_options(int argc, char *argv[], std::string &off_file_points, std::string &weight_file, - std::string &output_file_diag, int &coeff_field_characteristic, - Filtration_value &min_persistence) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options()("input-file", po::value<std::string>(&off_file_points), - "Name of file containing a point set. Format is one point per line: X1 ... Xd ")( - "weight-file", po::value<std::string>(&weight_file), - "Name of file containing a point weights. Format is one weigt per line: W1\n...\nWn "); - - po::options_description visible("Allowed options", 100); - visible.add_options()("help,h", "produce help message")( - "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()), - "Name of file in which the persistence diagram is written. Default print in std::cout")( - "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11), - "Characteristic p of the coefficient field Z/pZ for computing homology.")( - "min-persistence,m", po::value<Filtration_value>(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length " - "intervals"); - - po::positional_options_description pos; - pos.add("input-file", 1); - pos.add("weight-file", 2); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file") || !vm.count("weight-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; - std::cout << "of a weighted 3D Alpha complex defined on a set of input points.\n \n"; - std::cout << "The output diagram contains one bar per line, written with the convention: \n"; - std::cout << " p dim b d \n"; - std::cout << "where dim is the dimension of the homological feature,\n"; - std::cout << "b and d are respectively the birth and death of the feature and \n"; - std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl; - - std::cout << "Usage: " << argv[0] << " [options] input-file weight-file" << std::endl << std::endl; - std::cout << visible << std::endl; - exit(-1); - } -} diff --git a/utilities/Alpha_complex/weighted_periodic_alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/weighted_periodic_alpha_complex_3d_persistence.cpp deleted file mode 100644 index d030c88c..00000000 --- a/utilities/Alpha_complex/weighted_periodic_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,288 +0,0 @@ -/* 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): Vincent Rouvreau - * Pawel Dlotko - 2017 - Swansea University, UK - * - * Copyright (C) 2014 Inria - * - * 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 <boost/variant.hpp> - -#include <gudhi/Simplex_tree.h> -#include <gudhi/Persistent_cohomology.h> -#include <gudhi/Points_3D_off_io.h> - -#include <CGAL/Exact_predicates_inexact_constructions_kernel.h> -#include <CGAL/Periodic_3_regular_triangulation_traits_3.h> -#include <CGAL/Periodic_3_regular_triangulation_3.h> -#include <CGAL/Alpha_shape_3.h> -#include <CGAL/Alpha_shape_cell_base_3.h> -#include <CGAL/Alpha_shape_vertex_base_3.h> -#include <CGAL/iterator.h> - -#include <fstream> -#include <cmath> -#include <string> -#include <tuple> -#include <map> -#include <utility> -#include <vector> -#include <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Traits -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; -using PK = CGAL::Periodic_3_regular_triangulation_traits_3<Kernel>; - -// Vertex type -using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>; -using Vb = CGAL::Regular_triangulation_vertex_base_3<PK, DsVb>; -using AsVb = CGAL::Alpha_shape_vertex_base_3<PK, Vb>; -// Cell type -using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>; -using Cb = CGAL::Regular_triangulation_cell_base_3<PK, DsCb>; -using AsCb = CGAL::Alpha_shape_cell_base_3<PK, Cb>; -using Tds = CGAL::Triangulation_data_structure_3<AsVb, AsCb>; -using P3RT3 = CGAL::Periodic_3_regular_triangulation_3<PK, Tds>; -using Alpha_shape_3 = CGAL::Alpha_shape_3<P3RT3>; - -using Point_3 = P3RT3::Bare_point; -using Weighted_point_3 = P3RT3::Weighted_point; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void usage(const std::string& progName) { - std::cerr << "Usage: " << progName << " path_to_the_OFF_file path_to_weight_file path_to_the_cuboid_file " - "coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n"; - exit(-1); -} - -int main(int argc, char* const argv[]) { - // program args management - if (argc != 6) { - std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n"; - usage(argv[0]); - } - - int coeff_field_characteristic = atoi(argv[4]); - Filtration_value min_persistence = strtof(argv[5], nullptr); - - // Read points from file - std::string offInputFile(argv[1]); - // Read the OFF file (input file name given as parameter) and triangulate points - Gudhi::Points_3D_off_reader<Point_3> off_reader(offInputFile); - // Check the read operation was correct - if (!off_reader.is_valid()) { - std::cerr << "Unable to read file " << offInputFile << std::endl; - usage(argv[0]); - } - - // Retrieve the points - std::vector<Point_3> lp = off_reader.get_point_cloud(); - - // Read iso_cuboid_3 information from file - std::ifstream iso_cuboid_str(argv[3]); - double x_min, y_min, z_min, x_max, y_max, z_max; - if (iso_cuboid_str.is_open()) { - if (!(iso_cuboid_str >> x_min >> y_min >> z_min >> x_max >> y_max >> z_max)) { - std::cerr << argv[3] << " - Bad file format." << std::endl; - usage(argv[0]); - } - - } else { - std::cerr << "Unable to read file " << argv[3] << std::endl; - usage(argv[0]); - } - // Checking if the cuboid is the same in x,y and z direction. If not, CGAL will not process it. - if ((x_max - x_min != y_max - y_min) || (x_max - x_min != z_max - z_min) || (z_max - z_min != y_max - y_min)) { - std::cerr << "The size of the cuboid in every directions is not the same." << std::endl; - exit(-1); - } - - double maximal_possible_weight = 0.015625 * (x_max - x_min) * (x_max - x_min); - - // Read weights information from file - std::ifstream weights_ifstr(argv[2]); - std::vector<Weighted_point_3> wp; - if (weights_ifstr.is_open()) { - double weight = 0.0; - std::size_t index = 0; - wp.reserve(lp.size()); - // Attempt read the weight in a double format, return false if it fails - while ((weights_ifstr >> weight) && (index < lp.size())) { - if ((weight >= maximal_possible_weight) || (weight < 0)) { - std::cerr << "At line " << (index + 1) << ", the weight (" << weight - << ") is negative or more than or equal to maximal possible weight (" << maximal_possible_weight - << ") = 1/64*cuboid length squared, which is not an acceptable input." << std::endl; - exit(-1); - } - - wp.push_back(Weighted_point_3(lp[index], weight)); - index++; - } - if (index != lp.size()) { - std::cerr << "Bad number of weights in file " << argv[2] << std::endl; - usage(argv[0]); - } - } else { - std::cerr << "Unable to read file " << argv[2] << std::endl; - usage(argv[0]); - } - - // Define the periodic cube - P3RT3 prt(PK::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max)); - // Heuristic for inserting large point sets (if pts is reasonably large) - prt.insert(wp.begin(), wp.end(), true); - // As prt won't be modified anymore switch to 1-sheeted cover if possible - if (prt.is_triangulation_in_1_sheet()) { - prt.convert_to_1_sheeted_covering(); - } else { - std::cerr << "ERROR: we were not able to construct a triangulation within a single periodic domain." << std::endl; - exit(-1); - } - std::cout << "Weighted Periodic Delaunay computed." << std::endl; - - // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. This is the default mode - // Maybe need to set it to GENERAL mode - Alpha_shape_3 as(prt, 0, Alpha_shape_3::GENERAL); - - // filtration with alpha values from alpha shape - std::vector<Object> the_objects; - std::vector<Alpha_value_type> the_alpha_values; - - Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects), - std::back_inserter(the_alpha_values)); - - as.filtration_with_alpha_values(disp); -#ifdef DEBUG_TRACES - std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl; -#endif // DEBUG_TRACES - - Alpha_shape_3::size_type count_vertices = 0; - Alpha_shape_3::size_type count_edges = 0; - Alpha_shape_3::size_type count_facets = 0; - Alpha_shape_3::size_type count_cells = 0; - - // Loop on objects vector - Vertex_list vertex_list; - ST simplex_tree; - Alpha_shape_simplex_tree_map map_cgal_simplex_tree; - std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin(); - for (auto object_iterator : the_objects) { - // Retrieve Alpha shape vertex list from object - if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) { - vertex_list = from_cell<Vertex_list, Cell_handle>(*cell); - count_cells++; - } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) { - vertex_list = from_facet<Vertex_list, Facet>(*facet); - count_facets++; - } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) { - vertex_list = from_edge<Vertex_list, Edge_3>(*edge); - count_edges++; - } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { - count_vertices++; - vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex); - } - // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex - Simplex_tree_vector_vertex the_simplex; - for (auto the_alpha_shape_vertex : vertex_list) { - Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex); - if (the_map_iterator == map_cgal_simplex_tree.end()) { - // alpha shape not found - Simplex_tree_vertex vertex = map_cgal_simplex_tree.size(); -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex); - } else { - // alpha shape found - Simplex_tree_vertex vertex = the_map_iterator->second; -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex.push_back(vertex); - } - } - // Construction of the simplex_tree - Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - simplex_tree.insert_simplex(the_simplex, filtr); - if (the_alpha_value_iterator != the_alpha_values.end()) - ++the_alpha_value_iterator; - else - std::cout << "This shall not happen" << std::endl; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - pcoh.output_diagram(); - - return 0; -} |