diff options
Diffstat (limited to 'utilities/Alpha_complex')
9 files changed, 1845 insertions, 0 deletions
diff --git a/utilities/Alpha_complex/CMakeLists.txt b/utilities/Alpha_complex/CMakeLists.txt new file mode 100644 index 00000000..a2dfac20 --- /dev/null +++ b/utilities/Alpha_complex/CMakeLists.txt @@ -0,0 +1,65 @@ +cmake_minimum_required(VERSION 2.6) +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 new file mode 100644 index 00000000..a59f0654 --- /dev/null +++ b/utilities/Alpha_complex/alpha_complex_3d_helper.h @@ -0,0 +1,74 @@ +/* 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 Saclay (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/>. + */ + +#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 new file mode 100644 index 00000000..8ef5ffb2 --- /dev/null +++ b/utilities/Alpha_complex/alpha_complex_3d_persistence.cpp @@ -0,0 +1,269 @@ +/* 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/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; + std::abort(); + } +} diff --git a/utilities/Alpha_complex/alpha_complex_persistence.cpp b/utilities/Alpha_complex/alpha_complex_persistence.cpp new file mode 100644 index 00000000..2105220a --- /dev/null +++ b/utilities/Alpha_complex/alpha_complex_persistence.cpp @@ -0,0 +1,116 @@ +#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; + std::abort(); + } +} diff --git a/utilities/Alpha_complex/alphacomplex.md b/utilities/Alpha_complex/alphacomplex.md new file mode 100644 index 00000000..aace85d3 --- /dev/null +++ b/utilities/Alpha_complex/alphacomplex.md @@ -0,0 +1,158 @@ +
+
+# Alpha complex #
+
+
+## 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 new file mode 100644 index 00000000..cceac46e --- /dev/null +++ b/utilities/Alpha_complex/exact_alpha_complex_3d_persistence.cpp @@ -0,0 +1,263 @@ +/* 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/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; + std::abort(); + } +} diff --git a/utilities/Alpha_complex/periodic_alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/periodic_alpha_complex_3d_persistence.cpp new file mode 100644 index 00000000..188cf604 --- /dev/null +++ b/utilities/Alpha_complex/periodic_alpha_complex_3d_persistence.cpp @@ -0,0 +1,300 @@ +/* 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/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; + std::abort(); + } +} diff --git a/utilities/Alpha_complex/weighted_alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/weighted_alpha_complex_3d_persistence.cpp new file mode 100644 index 00000000..93be8a05 --- /dev/null +++ b/utilities/Alpha_complex/weighted_alpha_complex_3d_persistence.cpp @@ -0,0 +1,314 @@ +/* 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/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; + std::abort(); + } +} diff --git a/utilities/Alpha_complex/weighted_periodic_alpha_complex_3d_persistence.cpp b/utilities/Alpha_complex/weighted_periodic_alpha_complex_3d_persistence.cpp new file mode 100644 index 00000000..5321bb0a --- /dev/null +++ b/utilities/Alpha_complex/weighted_periodic_alpha_complex_3d_persistence.cpp @@ -0,0 +1,286 @@ +/* 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/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; +} |