diff options
Diffstat (limited to 'example/Persistent_cohomology')
13 files changed, 2189 insertions, 0 deletions
diff --git a/example/Persistent_cohomology/CMakeLists.txt b/example/Persistent_cohomology/CMakeLists.txt new file mode 100644 index 00000000..d97d1b63 --- /dev/null +++ b/example/Persistent_cohomology/CMakeLists.txt @@ -0,0 +1,84 @@ +cmake_minimum_required(VERSION 2.6) +project(Persistent_cohomology_examples) + +# problem with Visual Studio link on Boost program_options +add_definitions( -DBOOST_ALL_NO_LIB ) +add_definitions( -DBOOST_ALL_DYN_LINK ) + +add_executable(plain_homology plain_homology.cpp) +target_link_libraries(plain_homology ${Boost_SYSTEM_LIBRARY}) + +add_executable(persistence_from_simple_simplex_tree persistence_from_simple_simplex_tree.cpp) +target_link_libraries(persistence_from_simple_simplex_tree ${Boost_SYSTEM_LIBRARY}) + +add_executable(rips_persistence rips_persistence.cpp) +target_link_libraries(rips_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) + +add_executable(rips_persistence_via_boundary_matrix rips_persistence_via_boundary_matrix.cpp) +target_link_libraries(rips_persistence_via_boundary_matrix ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) + +add_executable(persistence_from_file persistence_from_file.cpp) +target_link_libraries(persistence_from_file ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) + +if (TBB_FOUND) + target_link_libraries(plain_homology ${TBB_LIBRARIES}) + target_link_libraries(persistence_from_simple_simplex_tree ${TBB_LIBRARIES}) + target_link_libraries(rips_persistence ${TBB_LIBRARIES}) + target_link_libraries(rips_persistence_via_boundary_matrix ${TBB_LIBRARIES}) + target_link_libraries(persistence_from_file ${TBB_LIBRARIES}) +endif() + +add_test(plain_homology ${CMAKE_CURRENT_BINARY_DIR}/plain_homology) +add_test(persistence_from_simple_simplex_tree ${CMAKE_CURRENT_BINARY_DIR}/persistence_from_simple_simplex_tree 1 0) +add_test(rips_persistence_3 ${CMAKE_CURRENT_BINARY_DIR}/rips_persistence ${CMAKE_SOURCE_DIR}/data/points/Kl.txt -r 0.2 -d 3 -p 3 -m 100) +add_test(rips_persistence_via_boundary_matrix_3 ${CMAKE_CURRENT_BINARY_DIR}/rips_persistence_via_boundary_matrix ${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.txt -r 0.3 -d 3 -p 3 -m 100) +add_test(persistence_from_file_3_2_0 ${CMAKE_CURRENT_BINARY_DIR}/persistence_from_file ${CMAKE_SOURCE_DIR}/data/points/bunny_5000.st -p 2 -m 0) +add_test(persistence_from_file_3_3_100 ${CMAKE_CURRENT_BINARY_DIR}/persistence_from_file ${CMAKE_SOURCE_DIR}/data/points/bunny_5000.st -p 3 -m 100) + +if(GMP_FOUND) + if(GMPXX_FOUND) + add_executable(rips_multifield_persistence rips_multifield_persistence.cpp ) + target_link_libraries(rips_multifield_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES}) + add_executable ( performance_rips_persistence performance_rips_persistence.cpp ) + target_link_libraries(performance_rips_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES}) + if (TBB_FOUND) + target_link_libraries(rips_multifield_persistence ${TBB_LIBRARIES}) + target_link_libraries(performance_rips_persistence ${TBB_LIBRARIES}) + endif(TBB_FOUND) + + add_test(rips_multifield_persistence_2_71 ${CMAKE_CURRENT_BINARY_DIR}/rips_multifield_persistence ${CMAKE_SOURCE_DIR}/data/points/Kl.txt -r 0.2 -d 3 -p 2 -q 71 -m 100) + endif(GMPXX_FOUND) +endif(GMP_FOUND) + +if(CGAL_FOUND) + add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp) + target_link_libraries(alpha_complex_3d_persistence ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) + + if (TBB_FOUND) + target_link_libraries(alpha_complex_3d_persistence ${TBB_LIBRARIES}) + endif(TBB_FOUND) + add_test(alpha_complex_3d_persistence_2_0_5 ${CMAKE_CURRENT_BINARY_DIR}/alpha_complex_3d_persistence ${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off 2 0.45) + + + if (NOT CGAL_VERSION VERSION_LESS 4.7.0) + if (EIGEN3_FOUND) + add_executable (alpha_complex_persistence alpha_complex_persistence.cpp) + target_link_libraries(alpha_complex_persistence ${Boost_SYSTEM_LIBRARY} ${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 ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) + + add_executable(custom_persistence_sort custom_persistence_sort.cpp) + target_link_libraries(custom_persistence_sort ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) + + if (TBB_FOUND) + target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES}) + target_link_libraries(periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES}) + target_link_libraries(custom_persistence_sort ${TBB_LIBRARIES}) + endif(TBB_FOUND) + add_test(alpha_complex_persistence_2_0_45 ${CMAKE_CURRENT_BINARY_DIR}/alpha_complex_persistence ${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off -m 0.45 -p 2) + add_test(periodic_alpha_complex_3d_persistence_2_0 ${CMAKE_CURRENT_BINARY_DIR}/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 2 0) + add_test(custom_persistence_sort ${CMAKE_CURRENT_BINARY_DIR}/custom_persistence_sort) + endif(EIGEN3_FOUND) + endif (NOT CGAL_VERSION VERSION_LESS 4.7.0) +endif(CGAL_FOUND) diff --git a/example/Persistent_cohomology/README b/example/Persistent_cohomology/README new file mode 100644 index 00000000..7803e5ab --- /dev/null +++ b/example/Persistent_cohomology/README @@ -0,0 +1,152 @@ +To build the example, run in a Terminal: + +cd /path-to-example/ +cmake . +make + +*********************************************************************************************************************** +Example of use of RIPS: + +Computation of the persistent homology with Z/2Z coefficients of the Rips complex on points +sampling a Klein bottle: + +./rips_persistence ../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -m 100 + +output: +210 0 0 inf +210 1 0.0702103 inf +2 1 0.0702103 inf +2 2 0.159992 inf + + +Every line is of this format: p1*...*pr dim b d +where + p1*...*pr is the product of prime numbers pi such that the homology feature exists in homology with Z/piZ coefficients. + dim is the dimension of the homological feature, + b and d are respectively the birth and death of the feature and + + + +with Z/3Z coefficients: + +./rips_persistence ../../data/points/Kl.txt -r 0.25 -d 3 -p 3 -m 100 + +output: +3 0 0 inf +3 1 0.0702103 inf + +and the computation with Z/2Z and Z/3Z coefficients simultaneously: + +./rips_multifield_persistence ../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -q 3 -m 100 + +output: +6 0 0 inf +6 1 0.0702103 inf +2 1 0.0702103 inf +2 2 0.159992 inf + +and finally the computation with all Z/pZ for 2 <= p <= 71 (20 first prime numbers): + + ./rips_multifield_persistence ../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -q 71 -m 100 + +output: +557940830126698960967415390 0 0 inf +557940830126698960967415390 1 0.0702103 inf +2 1 0.0702103 inf +2 2 0.159992 inf + +*********************************************************************************************************************** +Example of use of ALPHA: + +For a more verbose mode, please run cmake with option "DEBUG_TRACES=TRUE" and recompile the programs. + +1) 3D special case +------------------ +Computation of the persistent homology with Z/2Z coefficients of the alpha complex on points +sampling a torus 3D: + +./alpha_complex_3d_persistence ../../data/points/tore3D_300.off 2 0.45 + +output: +Simplex_tree dim: 3 +2 0 0 inf +2 1 0.0682162 1.0001 +2 1 0.0934117 1.00003 +2 2 0.56444 1.03938 + +Here we retrieve expected Betti numbers on a tore 3D: +Betti numbers[0] = 1 +Betti numbers[1] = 2 +Betti numbers[2] = 1 + +N.B.: - alpha_complex_3d_persistence accepts only OFF files in 3D dimension. + - filtration values are alpha square values + +2) d-Dimension case +------------------- +Computation of the persistent homology with Z/2Z coefficients of the alpha complex on points +sampling a torus 3D: + +./alpha_complex_persistence -r 32 -p 2 -m 0.45 ../../data/points/tore3D_300.off + +output: +Alpha complex is of dimension 3 - 9273 simplices - 300 vertices. +Simplex_tree dim: 3 +2 0 0 inf +2 1 0.0682162 1.0001 +2 1 0.0934117 1.00003 +2 2 0.56444 1.03938 + +Here we retrieve expected Betti numbers on a tore 3D: +Betti numbers[0] = 1 +Betti numbers[1] = 2 +Betti numbers[2] = 1 + +N.B.: - alpha_complex_persistence accepts OFF files in d-Dimension. + - filtration values are alpha square values + +3) 3D periodic special case +--------------------------- +./periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off 3 1.0 + +output: +Periodic Delaunay computed. +Simplex_tree dim: 3 +3 0 0 inf +3 1 0.0025 inf +3 1 0.0025 inf +3 1 0.0025 inf +3 2 0.005 inf +3 2 0.005 inf +3 2 0.005 inf +3 3 0.0075 inf + +Here we retrieve expected Betti numbers on a tore 3D: +Betti numbers[0] = 1 +Betti numbers[1] = 3 +Betti numbers[2] = 3 +Betti numbers[3] = 1 + +N.B.: - periodic_alpha_complex_3d_persistence accepts only OFF files in 3D dimension. In this example, the periodic cube +is hard coded to { x = [0,1]; y = [0,1]; z = [0,1] } + - filtration values are alpha square values + +*********************************************************************************************************************** +Example of use of PLAIN HOMOLOGY: + +This example computes the plain homology of the following simplicial complex without filtration values: + /* Complex to build. */ + /* 1 3 */ + /* o---o */ + /* /X\ / */ + /* o---o o */ + /* 2 0 4 */ + +./plain_homology + +output: +2 0 0 inf +2 0 0 inf +2 1 0 inf + +Here we retrieve the 2 entities {0,1,2,3} and {4} (Betti numbers[0] = 2) and the hole in {0,1,3} (Betti numbers[1] = 1) diff --git a/example/Persistent_cohomology/alpha_complex_3d_persistence.cpp b/example/Persistent_cohomology/alpha_complex_3d_persistence.cpp new file mode 100644 index 00000000..48fbb91a --- /dev/null +++ b/example/Persistent_cohomology/alpha_complex_3d_persistence.cpp @@ -0,0 +1,285 @@ +/* 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/>. + */ + +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Points_3D_off_io.h> +#include <boost/variant.hpp> + +#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 <list> +#include <vector> + +// Alpha_shape_3 templates type definitions +typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel; +typedef CGAL::Alpha_shape_vertex_base_3<Kernel> Vb; +typedef CGAL::Alpha_shape_cell_base_3<Kernel> Fb; +typedef CGAL::Triangulation_data_structure_3<Vb, Fb> Tds; +typedef CGAL::Delaunay_triangulation_3<Kernel, Tds> Triangulation_3; +typedef CGAL::Alpha_shape_3<Triangulation_3> Alpha_shape_3; + +// From file type definition +typedef Kernel::Point_3 Point_3; + +// filtration with alpha values needed type definition +typedef Alpha_shape_3::FT Alpha_value_type; +typedef CGAL::Object Object; +typedef 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> > > > Dispatch; +typedef Alpha_shape_3::Cell_handle Cell_handle; +typedef Alpha_shape_3::Facet Facet; +typedef Alpha_shape_3::Edge Edge_3; +typedef std::list<Alpha_shape_3::Vertex_handle> Vertex_list; + +// gudhi type definition +typedef Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence> ST; +typedef ST::Vertex_handle Simplex_tree_vertex; +typedef std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex > Alpha_shape_simplex_tree_map; +typedef std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex> Alpha_shape_simplex_tree_pair; +typedef std::vector< Simplex_tree_vertex > Simplex_tree_vector_vertex; +typedef Gudhi::persistent_cohomology::Persistent_cohomology< ST, Gudhi::persistent_cohomology::Field_Zp > PCOH; + +Vertex_list from(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; +} + +Vertex_list from(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; +} + +Vertex_list from(const Edge_3& edg) { + Vertex_list the_list; + for (auto i = 0; i < 4; i++) { + if ((edg.second == i) || (edg.third == i)) { +#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; +} + +Vertex_list from(const Alpha_shape_3::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; +} + +void usage(char * const progName) { + std::cerr << "Usage: " << progName << + " path_to_file_graph 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 != 4) { + std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n"; + usage(argv[0]); + } + + int coeff_field_characteristic = atoi(argv[2]); + + Filtration_value min_persistence = 0.0; + int returnedScanValue = sscanf(argv[3], "%lf", &min_persistence); + if ((returnedScanValue == EOF) || (min_persistence < -1.0)) { + std::cerr << "Error: " << argv[3] << " is not correct\n"; + usage(argv[0]); + } + + // 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 triangulation + 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(); + int dim_max = 0; + Filtration_value filtration_max = 0.0; + 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); + count_cells++; + if (dim_max < 3) { + // Cell is of dim 3 + dim_max = 3; + } + } else if (const Facet * facet = CGAL::object_cast<Facet>(&object_iterator)) { + vertex_list = from(*facet); + count_facets++; + if (dim_max < 2) { + // Facet is of dim 2 + dim_max = 2; + } + } else if (const Edge_3 * edge = CGAL::object_cast<Edge_3>(&object_iterator)) { + vertex_list = from(*edge); + count_edges++; + if (dim_max < 1) { + // Edge_3 is of dim 1 + dim_max = 1; + } + } else if (const Alpha_shape_3::Vertex_handle * vertex = + CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator)) { + count_vertices++; + vertex_list = from(*vertex); + } + // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex + Simplex_tree_vector_vertex the_simplex_tree; + 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_tree.push_back(vertex); + map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(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_tree.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 + if (filtr > filtration_max) { + filtration_max = filtr; + } + simplex_tree.insert_simplex(the_simplex_tree, filtr); + if (the_alpha_value_iterator != the_alpha_values.end()) + ++the_alpha_value_iterator; + else + std::cout << "This shall not happen" << std::endl; + } + simplex_tree.set_filtration(filtration_max); + simplex_tree.set_dimension(dim_max); + +#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() << " "; + std::cout << " filtration = " << simplex_tree.filtration() << std::endl << std::endl; +#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 + PCOH pcoh(simplex_tree); + // initializes the coefficient field for homology + pcoh.init_coefficients(coeff_field_characteristic); + + pcoh.compute_persistent_cohomology(min_persistence); + + pcoh.output_diagram(); + + return 0; +} diff --git a/example/Persistent_cohomology/alpha_complex_persistence.cpp b/example/Persistent_cohomology/alpha_complex_persistence.cpp new file mode 100644 index 00000000..cb181936 --- /dev/null +++ b/example/Persistent_cohomology/alpha_complex_persistence.cpp @@ -0,0 +1,117 @@ +#include <boost/program_options.hpp> + +#include <CGAL/Epick_d.h> + +#include <gudhi/Alpha_complex.h> +#include <gudhi/Persistent_cohomology.h> + +#include <iostream> +#include <string> +#include <limits> // for numeric_limits + +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, alpha_square_max_value); + + // ---------------------------------------------------------------------------- + // Display information about the alpha complex + // ---------------------------------------------------------------------------- + std::cout << "Alpha complex is of dimension " << alpha_complex_from_file.dimension() << + " - " << alpha_complex_from_file.num_simplices() << " simplices - " << + alpha_complex_from_file.num_vertices() << " vertices." << std::endl; + + // Sort the simplices in the order of the filtration + alpha_complex_from_file.initialize_filtration(); + + std::cout << "Simplex_tree dim: " << alpha_complex_from_file.dimension() << std::endl; + // Compute the persistence diagram of the complex + Gudhi::persistent_cohomology::Persistent_cohomology< Gudhi::alpha_complex::Alpha_complex<Kernel>, + Gudhi::persistent_cohomology::Field_Zp > pcoh(alpha_complex_from_file); + // 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/example/Persistent_cohomology/custom_persistence_sort.cpp b/example/Persistent_cohomology/custom_persistence_sort.cpp new file mode 100644 index 00000000..9af38611 --- /dev/null +++ b/example/Persistent_cohomology/custom_persistence_sort.cpp @@ -0,0 +1,116 @@ +/* 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/>. + */ + +#include <CGAL/Epick_d.h> +#include <CGAL/point_generators_d.h> +#include <CGAL/algorithm.h> +#include <CGAL/assertions.h> + +#include <gudhi/Alpha_complex.h> +#include <gudhi/Persistent_cohomology.h> + +#include <iostream> +#include <iterator> +#include <vector> +#include <fstream> // for std::ofstream +#include <algorithm> // for std::sort + + +using Kernel = CGAL::Epick_d< CGAL::Dimension_tag<3> >; +using Point = Kernel::Point_d; +using Alpha_complex = Gudhi::alpha_complex::Alpha_complex<Kernel>; + +std::vector<Point> random_points() { + // Instanciate a random point generator + CGAL::Random rng(0); + + // Generate "points_number" random points in a vector + std::vector<Point> points; + + // Generates 1000 random 3D points on a sphere of radius 4.0 + CGAL::Random_points_on_sphere_d<Point> rand_outside(3, 4.0, rng); + CGAL::cpp11::copy_n(rand_outside, 1000, std::back_inserter(points)); + // Generates 2000 random 3D points in a sphere of radius 3.0 + CGAL::Random_points_in_ball_d<Point> rand_inside(3, 3.0, rng); + CGAL::cpp11::copy_n(rand_inside, 2000, std::back_inserter(points)); + + return points; +} + +/* + * Compare two intervals by dimension, then by length. + */ +struct cmp_intervals_by_dim_then_length { + explicit cmp_intervals_by_dim_then_length(Alpha_complex * sc) + : sc_(sc) { } + + template<typename Persistent_interval> + bool operator()(const Persistent_interval & p1, const Persistent_interval & p2) { + if (sc_->dimension(get < 0 > (p1)) == sc_->dimension(get < 0 > (p2))) + return (sc_->filtration(get < 1 > (p1)) - sc_->filtration(get < 0 > (p1)) + > sc_->filtration(get < 1 > (p2)) - sc_->filtration(get < 0 > (p2))); + else + return (sc_->dimension(get < 0 > (p1)) > sc_->dimension(get < 0 > (p2))); + } + Alpha_complex* sc_; +}; + +int main(int argc, char **argv) { + std::vector<Point> points = random_points(); + + // Alpha complex persistence computation from generated points + Alpha_complex alpha_complex_from_points(points, 0.6); + + using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology< Alpha_complex, + Gudhi::persistent_cohomology::Field_Zp >; + Persistent_cohomology pcoh(alpha_complex_from_points); + + // initializes the coefficient field for homology - Z/3Z + pcoh.init_coefficients(3); + pcoh.compute_persistent_cohomology(0.2); + + // Custom sort and output persistence + cmp_intervals_by_dim_then_length cmp(&alpha_complex_from_points); + auto persistent_pairs = pcoh.get_persistent_pairs(); + std::sort(std::begin(persistent_pairs), std::end(persistent_pairs), cmp); + for (auto pair : persistent_pairs) { + std::cout << alpha_complex_from_points.dimension(get<0>(pair)) << " " + << alpha_complex_from_points.filtration(get<0>(pair)) << " " + << alpha_complex_from_points.filtration(get<1>(pair)) << std::endl; + } + + // Persistent Betti numbers + std::cout << "The persistent Betti numbers in interval [0.40, 0.41] are : "; + for (int dim = 0; dim < alpha_complex_from_points.dimension(); dim++) + std::cout << "b" << dim << " = " << pcoh.persistent_betti_number(dim, 0.40, 0.41) << " ; "; + std::cout << std::endl; + + // Betti numbers + std::vector<int> betti_numbers = pcoh.betti_numbers(); + std::cout << "The Betti numbers are : "; + for (std::size_t i = 0; i < betti_numbers.size(); i++) + std::cout << "b" << i << " = " << betti_numbers[i] << " ; "; + std::cout << std::endl; + + return 0; +} + diff --git a/example/Persistent_cohomology/performance_rips_persistence.cpp b/example/Persistent_cohomology/performance_rips_persistence.cpp new file mode 100644 index 00000000..b4d282ac --- /dev/null +++ b/example/Persistent_cohomology/performance_rips_persistence.cpp @@ -0,0 +1,214 @@ +/* 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): Clément Maria + * + * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/reader_utils.h> +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Persistent_cohomology/Multi_field.h> +#include <gudhi/Hasse_complex.h> + +#include <chrono> +#include <string> +#include <vector> + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +/* Compute the persistent homology of the complex cpx with coefficients in Z/pZ. */ +template< typename FilteredComplex> +void timing_persistence(FilteredComplex & cpx + , int p); + +/* Compute multi-field persistent homology of the complex cpx with coefficients in + * Z/rZ for all prime number r in [p;q].*/ +template< typename FilteredComplex> +void timing_persistence(FilteredComplex & cpx + , int p + , int q); + +/* Timings for the computation of persistent homology with different + * representations of a Rips complex and different coefficient fields. The + * Rips complex is built on a set of 10000 points sampling a Klein bottle embedded + * in dimension 5. + * We represent complexes with a simplex tree and + * with a Hasse diagram. The Hasse diagram represents explicitly all + * codimension 1 incidence relations in the complex, and hence leads to + * a faster computation of persistence because boundaries are precomputed. + * Hovewer, the simplex tree may be constructed directly from a point cloud and + * is more compact. + * We compute persistent homology with coefficient fields Z/2Z and Z/1223Z. + * We present also timings for the computation of multi-field persistent + * homology in all fields Z/rZ for r prime between 2 and 1223. + */ +int main(int argc, char * argv[]) { + std::chrono::time_point<std::chrono::system_clock> start, end; + int elapsed_sec; + { + + std::string filepoints = "../../../data/points/Kl.txt"; + Filtration_value threshold = 0.27; + int dim_max = 3; + int p = 2; + int q = 1223; + + // Extract the points from the file filepoints + typedef std::vector<double> Point_t; + std::vector< Point_t > points; + read_points(filepoints, points); + + // Compute the proximity graph of the points + start = std::chrono::system_clock::now(); + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance<Point_t>); + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << "Compute Rips graph in " << elapsed_sec << " ms.\n"; + + // Construct the Rips complex in a Simplex Tree + Simplex_tree<Simplex_tree_options_fast_persistence> st; + start = std::chrono::system_clock::now(); + + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); + + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << "Compute Rips complex in " << elapsed_sec << " ms.\n"; + std::cout << " - dimension = " << st.dimension() << std::endl; + std::cout << " - number of simplices = " << st.num_simplices() << std::endl; + + // Sort the simplices in the order of the filtration + start = std::chrono::system_clock::now(); + st.initialize_filtration(); + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << "Order the simplices of the filtration in " << elapsed_sec << " ms.\n"; + + // Copy the keys inside the simplices + start = std::chrono::system_clock::now(); + { + int count = 0; + for (auto sh : st.filtration_simplex_range()) + st.assign_key(sh, count++); + } + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << "Copied the keys inside the simplices in " << elapsed_sec << " ms.\n"; + + // Convert the simplex tree into a hasse diagram + start = std::chrono::system_clock::now(); + Hasse_complex<> hcpx(st); + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << "Convert the simplex tree into a Hasse diagram in " << elapsed_sec << " ms.\n"; + + + std::cout << "Timings when using a simplex tree: \n"; + timing_persistence(st, p); + timing_persistence(st, q); + timing_persistence(st, p, q); + + std::cout << "Timings when using a Hasse complex: \n"; + timing_persistence(hcpx, p); + timing_persistence(hcpx, q); + timing_persistence(hcpx, p, q); + + start = std::chrono::system_clock::now(); + } + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << "Running the complex destructors in " << elapsed_sec << " ms.\n"; + return 0; +} + +template< typename FilteredComplex> +void +timing_persistence(FilteredComplex & cpx + , int p) { + std::chrono::time_point<std::chrono::system_clock> start, end; + int elapsed_sec; + { + start = std::chrono::system_clock::now(); + Persistent_cohomology< FilteredComplex, Field_Zp > pcoh(cpx); + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Initialize pcoh in " << elapsed_sec << " ms.\n"; + // initializes the coefficient field for homology + start = std::chrono::system_clock::now(); + pcoh.init_coefficients(p); + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Initialize the coefficient field in " << elapsed_sec << " ms.\n"; + + start = std::chrono::system_clock::now(); + + pcoh.compute_persistent_cohomology(INFINITY); + + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Compute persistent homology in Z/" << p << "Z in " << elapsed_sec << " ms.\n"; + start = std::chrono::system_clock::now(); + } + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Run the persistence destructors in " << elapsed_sec << " ms.\n"; +} + +template< typename FilteredComplex> +void +timing_persistence(FilteredComplex & cpx + , int p + , int q) { + std::chrono::time_point<std::chrono::system_clock> start, end; + int elapsed_sec; + { + start = std::chrono::system_clock::now(); + Persistent_cohomology< FilteredComplex, Multi_field > pcoh(cpx); + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Initialize pcoh in " << elapsed_sec << " ms.\n"; + // initializes the coefficient field for homology + start = std::chrono::system_clock::now(); + pcoh.init_coefficients(p, q); + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Initialize the coefficient field in " << elapsed_sec << " ms.\n"; + // compute persistent homology, disgarding persistent features of life shorter than min_persistence + + start = std::chrono::system_clock::now(); + + pcoh.compute_persistent_cohomology(INFINITY); + + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Compute multi-field persistent homology in all coefficient fields Z/pZ " + << "with p in [" << p << ";" << q << "] in " << elapsed_sec << " ms.\n"; + start = std::chrono::system_clock::now(); + } + end = std::chrono::system_clock::now(); + elapsed_sec = std::chrono::duration_cast<std::chrono::milliseconds>(end - start).count(); + std::cout << " Run the persistence destructors in " << elapsed_sec << " ms.\n"; +} diff --git a/example/Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp b/example/Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp new file mode 100644 index 00000000..a199fea1 --- /dev/null +++ b/example/Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp @@ -0,0 +1,313 @@ +/* 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/>. + */ + +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Points_3D_off_io.h> +#include <boost/variant.hpp> + +#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 <list> +#include <vector> + +// 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_list = std::list<Alpha_shape_3::Vertex_handle>; + +// gudhi type definition +using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; +using Simplex_tree_vertex = ST::Vertex_handle; +using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex >; +using Alpha_shape_simplex_tree_pair = std::pair<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 >; + +Vertex_list from(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; +} + +Vertex_list from(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; +} + +Vertex_list from(const Edge_3& edg) { + Vertex_list the_list; + for (auto i = 0; i < 4; i++) { + if ((edg.second == i) || (edg.third == i)) { +#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; +} + +Vertex_list from(const Alpha_shape_3::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; +} + +void usage(char * const progName) { + std::cerr << "Usage: " << progName << + " path_to_file_graph path_to_iso_cuboid_3_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 != 5) { + std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n"; + usage(argv[0]); + } + + int coeff_field_characteristic = 0; + int returnedScanValue = sscanf(argv[3], "%d", &coeff_field_characteristic); + if ((returnedScanValue == EOF) || (coeff_field_characteristic <= 0)) { + std::cerr << "Error: " << argv[3] << " is not correct\n"; + usage(argv[0]); + } + + Filtration_value min_persistence = 0.0; + returnedScanValue = sscanf(argv[4], "%lf", &min_persistence); + if ((returnedScanValue == EOF) || (min_persistence < -1.0)) { + std::cerr << "Error: " << argv[4] << " is not correct\n"; + usage(argv[0]); + } + + // 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]); + } + + // Read iso_cuboid_3 information from file + std::ifstream iso_cuboid_str(argv[2]); + 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 " << argv[2] << std::endl; + usage(argv[0]); + } + + // Retrieve the triangulation + 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(); + 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(); + int dim_max = 0; + Filtration_value filtration_max = 0.0; + 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); + count_cells++; + if (dim_max < 3) { + // Cell is of dim 3 + dim_max = 3; + } + } else if (const Facet * facet = CGAL::object_cast<Facet>(&object_iterator)) { + vertex_list = from(*facet); + count_facets++; + if (dim_max < 2) { + // Facet is of dim 2 + dim_max = 2; + } + } else if (const Edge_3 * edge = CGAL::object_cast<Edge_3>(&object_iterator)) { + vertex_list = from(*edge); + count_edges++; + if (dim_max < 1) { + // Edge_3 is of dim 1 + dim_max = 1; + } + } else if (const Alpha_shape_3::Vertex_handle * vertex = + CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator)) { + count_vertices++; + vertex_list = from(*vertex); + } + // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex + Simplex_tree_vector_vertex the_simplex_tree; + 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_tree.push_back(vertex); + map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(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_tree.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 + if (filtr > filtration_max) { + filtration_max = filtr; + } + simplex_tree.insert_simplex(the_simplex_tree, filtr); + if (the_alpha_value_iterator != the_alpha_values.end()) + ++the_alpha_value_iterator; + else + std::cout << "This shall not happen" << std::endl; + } + simplex_tree.set_filtration(filtration_max); + simplex_tree.set_dimension(dim_max); + +#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() << " "; + std::cout << " filtration = " << simplex_tree.filtration() << std::endl << std::endl; +#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; +} diff --git a/example/Persistent_cohomology/persistence_from_file.cpp b/example/Persistent_cohomology/persistence_from_file.cpp new file mode 100644 index 00000000..67235467 --- /dev/null +++ b/example/Persistent_cohomology/persistence_from_file.cpp @@ -0,0 +1,144 @@ +/* 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/>. + */ + +#include <gudhi/reader_utils.h> +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> + +#include <boost/program_options.hpp> + +#include <string> + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , std::string & simplex_tree_file + , std::string & output_file + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string simplex_tree_file; + std::string output_file; + int p; + Filtration_value min_persistence; + + program_options(argc, argv, simplex_tree_file, output_file, p, min_persistence); + + std::cout << "Simplex_tree from file=" << simplex_tree_file.c_str() << " - output_file=" << output_file.c_str() + << std::endl; + std::cout << " - p=" << p << " - min_persistence=" << min_persistence << std::endl; + + // Read the list of simplices from a file. + Simplex_tree<> simplex_tree; + + std::ifstream simplex_tree_stream(simplex_tree_file); + simplex_tree_stream >> simplex_tree; + + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices" << std::endl; + std::cout << " - dimension " << simplex_tree.dimension() << " - filtration " << simplex_tree.filtration() + << std::endl; + + /* + std::cout << std::endl << std::endl << "Iterator on Simplices in the filtration, with [filtration value]:" << std::endl; + for( auto f_simplex : simplex_tree.filtration_simplex_range() ) + { std::cout << " " << "[" << simplex_tree.filtration(f_simplex) << "] "; + for( auto vertex : simplex_tree.simplex_vertex_range(f_simplex) ) + { std::cout << vertex << " "; } + std::cout << std::endl; + }*/ + + // Sort the simplices in the order of the filtration + simplex_tree.initialize_filtration(); + + // Compute the persistence diagram of the complex + Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(simplex_tree); + // initializes the coefficient field for homology + pcoh.init_coefficients(p); + + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in output_file + if (output_file.empty()) { + pcoh.output_diagram(); + } else { + std::ofstream out(output_file); + pcoh.output_diagram(out); + out.close(); + } + + return 0; +} + +void program_options(int argc, char * argv[] + , std::string & simplex_tree_file + , std::string & output_file + , int & p + , Filtration_value & min_persistence) { + namespace po = boost::program_options; + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value<std::string>(&simplex_tree_file), + "Name of file containing a simplex set. Format is one simplex per line (cf. reader_utils.h - read_simplex): Dim1 X11 X12 ... X1d Fil1 "); + + po::options_description visible("Allowed options", 100); + visible.add_options() + ("help,h", "produce help message") + ("output-file,o", po::value<std::string>(&output_file)->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>(&p)->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"); + + 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 Rips 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/example/Persistent_cohomology/persistence_from_simple_simplex_tree.cpp b/example/Persistent_cohomology/persistence_from_simple_simplex_tree.cpp new file mode 100644 index 00000000..ba772f04 --- /dev/null +++ b/example/Persistent_cohomology/persistence_from_simple_simplex_tree.cpp @@ -0,0 +1,178 @@ +/* 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 Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> + +#include <iostream> +#include <ctime> +#include <utility> +#include <vector> + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef std::vector< Vertex_handle > typeVectorVertex; +typedef std::pair<typeVectorVertex, Filtration_value> typeSimplex; +typedef std::pair< Simplex_tree<>::Simplex_handle, bool > typePairSimplexBool; +typedef Simplex_tree<> typeST; + +void usage(char * const progName) { + std::cerr << "Usage: " << progName << " 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 != 3) { + std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n"; + usage(argv[0]); + } + + int coeff_field_characteristic = 0; + int returnedScanValue = sscanf(argv[1], "%d", &coeff_field_characteristic); + if ((returnedScanValue == EOF) || (coeff_field_characteristic <= 0)) { + std::cerr << "Error: " << argv[1] << " is not correct\n"; + usage(argv[0]); + } + + Filtration_value min_persistence = 0.0; + returnedScanValue = sscanf(argv[2], "%lf", &min_persistence); + if ((returnedScanValue == EOF) || (min_persistence < -1.0)) { + std::cerr << "Error: " << argv[2] << " is not correct\n"; + usage(argv[0]); + } + + // TEST OF INSERTION + std::cout << "********************************************************************" << std::endl; + std::cout << "TEST OF INSERTION" << std::endl; + typeST st; + + // ++ FIRST + std::cout << " - INSERT (0,1,2)" << std::endl; + typeVectorVertex SimplexVector = {0, 1, 2}; + st.insert_simplex_and_subfaces(SimplexVector, 0.3); + + // ++ SECOND + std::cout << " - INSERT 3" << std::endl; + SimplexVector = {3}; + st.insert_simplex_and_subfaces(SimplexVector, 0.1); + + // ++ THIRD + std::cout << " - INSERT (0,3)" << std::endl; + SimplexVector = {0, 3}; + st.insert_simplex_and_subfaces(SimplexVector, 0.2); + + // ++ FOURTH + std::cout << " - INSERT (0,1) (already inserted)" << std::endl; + SimplexVector = {0, 1}; + st.insert_simplex_and_subfaces(SimplexVector, 0.2); + + // ++ FIFTH + std::cout << " - INSERT (3,4,5)" << std::endl; + SimplexVector = {3, 4, 5}; + st.insert_simplex_and_subfaces(SimplexVector, 0.3); + + // ++ SIXTH + std::cout << " - INSERT (0,1,6,7)" << std::endl; + SimplexVector = {0, 1, 6, 7}; + st.insert_simplex_and_subfaces(SimplexVector, 0.4); + + // ++ SEVENTH + std::cout << " - INSERT (4,5,8,9)" << std::endl; + SimplexVector = {4, 5, 8, 9}; + st.insert_simplex_and_subfaces(SimplexVector, 0.4); + + // ++ EIGHTH + std::cout << " - INSERT (9,10,11)" << std::endl; + SimplexVector = {9, 10, 11}; + st.insert_simplex_and_subfaces(SimplexVector, 0.3); + + // ++ NINETH + std::cout << " - INSERT (2,10,12)" << std::endl; + SimplexVector = {2, 10, 12}; + st.insert_simplex_and_subfaces(SimplexVector, 0.3); + + // ++ TENTH + std::cout << " - INSERT (11,6)" << std::endl; + SimplexVector = {6, 11}; + st.insert_simplex_and_subfaces(SimplexVector, 0.2); + + // ++ ELEVENTH + std::cout << " - INSERT (13,14,15)" << std::endl; + SimplexVector = {13, 14, 15}; + st.insert_simplex_and_subfaces(SimplexVector, 0.25); + + /* Inserted simplex: */ + /* 1 6 */ + /* o---o */ + /* /X\7/ 4 2 */ + /* o---o---o---o o */ + /* 2 0 3\X/8\ 10 /X\ */ + /* o---o---o---o */ + /* 5 9\X/ 12 */ + /* o---o */ + /* 11 6 */ + /* In other words: */ + /* A facet [2,1,0] */ + /* An edge [0,3] */ + /* A facet [3,4,5] */ + /* A cell [0,1,6,7] */ + /* A cell [4,5,8,9] */ + /* A facet [9,10,11] */ + /* An edge [11,6] */ + /* An edge [10,12,2] */ + + st.set_dimension(2); + st.set_filtration(0.4); + + std::cout << "The complex contains " << st.num_simplices() << " simplices - " << st.num_vertices() << " vertices " + << std::endl; + std::cout << " - dimension " << st.dimension() << " - filtration " << st.filtration() << std::endl; + std::cout << std::endl << std::endl << "Iterator on Simplices in the filtration, with [filtration value]:" + << std::endl; + std::cout << "**************************************************************" << std::endl; + std::cout << "strict graph G { " << std::endl; + + for (auto f_simplex : st.filtration_simplex_range()) { + std::cout << " " << "[" << st.filtration(f_simplex) << "] "; + for (auto vertex : st.simplex_vertex_range(f_simplex)) { + std::cout << static_cast<int>(vertex) << " -- "; + } + std::cout << ";" << std::endl; + } + + std::cout << "}" << std::endl; + std::cout << "**************************************************************" << std::endl; + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(st); + // initializes the coefficient field for homology + pcoh.init_coefficients(coeff_field_characteristic); + + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in filediag + pcoh.output_diagram(); + return 0; +} diff --git a/example/Persistent_cohomology/plain_homology.cpp b/example/Persistent_cohomology/plain_homology.cpp new file mode 100644 index 00000000..ae82c817 --- /dev/null +++ b/example/Persistent_cohomology/plain_homology.cpp @@ -0,0 +1,95 @@ +/* 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): Marc Glisse + * + * Copyright (C) 2015 INRIA Saclay - Ile-de-France (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> + +#include <iostream> +#include <vector> +#include <cstdint> // for std::uint8_t + +using namespace Gudhi; + +/* We could perfectly well use the default Simplex_tree<> (which uses + * Simplex_tree_options_full_featured), the following simply demonstrates + * how to save on storage by not storing a filtration value. */ + +struct MyOptions : Simplex_tree_options_full_featured { + // Implicitly use 0 as filtration value for all simplices + static const bool store_filtration = false; + // The persistence algorithm needs this + static const bool store_key = true; + // I have few vertices + typedef short Vertex_handle; + // Maximum number of simplices to compute persistence is 2^8 - 1 = 255. One is reserved for null_key + typedef std::uint8_t Simplex_key; +}; +typedef Simplex_tree<MyOptions> ST; + +int main() { + ST st; + + /* Complex to build. */ + /* 1 3 */ + /* o---o */ + /* /X\ / */ + /* o---o o */ + /* 2 0 4 */ + + const short triangle012[] = {0, 1, 2}; + const short edge03[] = {0, 3}; + const short edge13[] = {1, 3}; + const short vertex4[] = {4}; + st.insert_simplex_and_subfaces(triangle012); + st.insert_simplex_and_subfaces(edge03); + st.insert_simplex(edge13); + st.insert_simplex(vertex4); + // FIXME: Remove this line + st.set_dimension(2); + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + + // Class for homology computation + persistent_cohomology::Persistent_cohomology<ST, persistent_cohomology::Field_Zp> pcoh(st); + + // Initialize the coefficient field Z/2Z for homology + pcoh.init_coefficients(2); + + // Compute the persistence diagram of the complex + pcoh.compute_persistent_cohomology(); + + // Print the result. The format is, on each line: 2 dim 0 inf + // where 2 represents the field, dim the dimension of the feature. + // 2 0 0 inf + // 2 0 0 inf + // 2 1 0 inf + // means that in Z/2Z-homology, the Betti numbers are b0=2 and b1=1. + pcoh.output_diagram(); + + // Print the Betti numbers are b0=2 and b1=1. + std::cout << std::endl; + std::cout << "The Betti numbers are : "; + for (int i = 0; i < st.dimension(); i++) + std::cout << "b" << i << " = " << pcoh.betti_number(i) << " ; "; + std::cout << std::endl; +} diff --git a/example/Persistent_cohomology/rips_multifield_persistence.cpp b/example/Persistent_cohomology/rips_multifield_persistence.cpp new file mode 100644 index 00000000..c5cd775d --- /dev/null +++ b/example/Persistent_cohomology/rips_multifield_persistence.cpp @@ -0,0 +1,158 @@ +/* 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): Clément Maria + * + * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/reader_utils.h> +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Persistent_cohomology/Multi_field.h> + +#include <boost/program_options.hpp> + +#include <string> +#include <vector> + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & min_p + , int & max_p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string filepoints; + std::string filediag; + Filtration_value threshold; + int dim_max; + int min_p; + int max_p; + Filtration_value min_persistence; + + program_options(argc, argv, filepoints, filediag, threshold, dim_max, min_p, max_p, min_persistence); + + // Extract the points from the file filepoints + typedef std::vector<double> Point_t; + std::vector< Point_t > points; + read_points(filepoints, points); + + // Compute the proximity graph of the points + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance<Point_t>); + + // Construct the Rips complex in a Simplex Tree + typedef Simplex_tree<Simplex_tree_options_fast_persistence> ST; + ST st; + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + + // Compute the persistence diagram of the complex + Persistent_cohomology<ST, Multi_field > pcoh(st); + // initializes the coefficient field for homology + pcoh.init_coefficients(min_p, max_p); + // compute persistent homology, disgarding persistent features of life shorter than min_persistence + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in filediag + if (filediag.empty()) { + pcoh.output_diagram(); + } else { + std::ofstream out(filediag); + pcoh.output_diagram(out); + out.close(); + } + + return 0; +} + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & min_p + , int & max_p + , Filtration_value & min_persistence) { + namespace po = boost::program_options; + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value<std::string>(&filepoints), + "Name of file containing a point set. Format is one point per line: X1 ... Xd \n"); + + po::options_description visible("Allowed options"); + visible.add_options() + ("help,h", "produce help message") + ("output-file,o", po::value<std::string>(&filediag)->default_value(std::string()), + "Name of file in which the persistence diagram is written. Default print in std::cout") + ("max-edge-length,r", po::value<Filtration_value>(&threshold)->default_value(0), + "Maximal length of an edge for the Rips complex construction.") + ("cpx-dimension,d", po::value<int>(&dim_max)->default_value(1), + "Maximal dimension of the Rips complex we want to compute.") + ("min-field-charac,p", po::value<int>(&min_p)->default_value(2), + "Minimal characteristic p of the coefficient field Z/pZ.") + ("max-field-charac,q", po::value<int>(&max_p)->default_value(1223), + "Minimial characteristic q of the coefficient field Z/pZ.") + ("min-persistence,m", po::value<Filtration_value>(&min_persistence), + "Minimal lifetime of homology feature to be recorded. Default is 0"); + + 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 various coefficient fields \n"; + std::cout << "of a Rips complex defined on a set of input points. The coefficient \n"; + std::cout << "fields are all the Z/rZ for a prime number r contained in the \n"; + std::cout << "specified range [p,q]\n \n"; + std::cout << "The output diagram contains one bar per line, written with the convention: \n"; + std::cout << " p1*...*pr 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 << "p1*...*pr is the product of prime numbers pi such that the homology \n"; + std::cout << "feature exists in homology with Z/piZ 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/example/Persistent_cohomology/rips_persistence.cpp b/example/Persistent_cohomology/rips_persistence.cpp new file mode 100644 index 00000000..cab49395 --- /dev/null +++ b/example/Persistent_cohomology/rips_persistence.cpp @@ -0,0 +1,153 @@ +/* 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): Clément Maria + * + * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/reader_utils.h> +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> + +#include <boost/program_options.hpp> + +#include <string> +#include <vector> +#include <limits> // infinity + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string filepoints; + std::string filediag; + Filtration_value threshold; + int dim_max; + int p; + Filtration_value min_persistence; + + program_options(argc, argv, filepoints, filediag, threshold, dim_max, p, min_persistence); + + // Extract the points from the file filepoints + typedef std::vector<double> Point_t; + std::vector< Point_t > points; + read_points(filepoints, points); + + // Compute the proximity graph of the points + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance<Point_t>); + + // Construct the Rips complex in a Simplex Tree + typedef Simplex_tree<Simplex_tree_options_fast_persistence> ST; + ST st; + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); + + std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << st.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology<ST, Field_Zp > pcoh(st); + // initializes the coefficient field for homology + pcoh.init_coefficients(p); + + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in filediag + if (filediag.empty()) { + pcoh.output_diagram(); + } else { + std::ofstream out(filediag); + pcoh.output_diagram(out); + out.close(); + } + + return 0; +} + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence) { + namespace po = boost::program_options; + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value<std::string>(&filepoints), + "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>(&filediag)->default_value(std::string()), + "Name of file in which the persistence diagram is written. Default print in std::cout") + ("max-edge-length,r", po::value<Filtration_value>(&threshold)->default_value(std::numeric_limits<Filtration_value>::infinity()), + "Maximal length of an edge for the Rips complex construction.") + ("cpx-dimension,d", po::value<int>(&dim_max)->default_value(1), + "Maximal dimension of the Rips complex we want to compute.") + ("field-charac,p", po::value<int>(&p)->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 Rips 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/example/Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp b/example/Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp new file mode 100644 index 00000000..4c6656f5 --- /dev/null +++ b/example/Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp @@ -0,0 +1,180 @@ +/* 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): Clément Maria, Marc Glisse + * + * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France), + * 2015 INRIA Saclay Île de France) + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/reader_utils.h> +#include <gudhi/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Hasse_complex.h> + +#include <boost/program_options.hpp> + +#ifdef GUDHI_USE_TBB +#include <tbb/task_scheduler_init.h> +#endif + +#include <string> +#include <vector> + +//////////////////////////////////////////////////////////////// +// // +// WARNING: persistence computation itself is not parallel, // +// and this uses more memory than rips_persistence. // +// // +//////////////////////////////////////////////////////////////// + +using namespace Gudhi; +using namespace Gudhi::persistent_cohomology; + +typedef int Vertex_handle; +typedef double Filtration_value; + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string filepoints; + std::string filediag; + Filtration_value threshold; + int dim_max; + int p; + Filtration_value min_persistence; + + program_options(argc, argv, filepoints, filediag, threshold, dim_max, p, min_persistence); + + // Extract the points from the file filepoints + typedef std::vector<double> Point_t; + std::vector< Point_t > points; + read_points(filepoints, points); + + // Compute the proximity graph of the points + Graph_t prox_graph = compute_proximity_graph(points, threshold + , euclidean_distance<Point_t>); + + // Construct the Rips complex in a Simplex Tree + Simplex_tree<>& st = *new Simplex_tree<>; + // insert the proximity graph in the simplex tree + st.insert_graph(prox_graph); + // expand the graph until dimension dim_max + st.expansion(dim_max); + + std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << st.dimension() << " \n"; + +#ifdef GUDHI_USE_TBB + // Unnecessary, but clarifies which operations are parallel. + tbb::task_scheduler_init ts; +#endif + + // Sort the simplices in the order of the filtration + st.initialize_filtration(); + int count = 0; + for (auto sh : st.filtration_simplex_range()) + st.assign_key(sh, count++); + + // Convert to a more convenient representation. + Hasse_complex<> hcpx(st); + +#ifdef GUDHI_USE_TBB + ts.terminate(); +#endif + + // Free some space. + delete &st; + + // Compute the persistence diagram of the complex + persistent_cohomology::Persistent_cohomology< Hasse_complex<>, Field_Zp > pcoh(hcpx); + // initializes the coefficient field for homology + pcoh.init_coefficients(p); + + pcoh.compute_persistent_cohomology(min_persistence); + + // Output the diagram in filediag + if (filediag.empty()) { + pcoh.output_diagram(); + } else { + std::ofstream out(filediag); + pcoh.output_diagram(out); + out.close(); + } +} + +void program_options(int argc, char * argv[] + , std::string & filepoints + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence) { + namespace po = boost::program_options; + po::options_description hidden("Hidden options"); + hidden.add_options() + ("input-file", po::value<std::string>(&filepoints), + "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>(&filediag)->default_value(std::string()), + "Name of file in which the persistence diagram is written. Default print in std::cout") + ("max-edge-length,r", po::value<Filtration_value>(&threshold)->default_value(0), + "Maximal length of an edge for the Rips complex construction.") + ("cpx-dimension,d", po::value<int>(&dim_max)->default_value(1), + "Maximal dimension of the Rips complex we want to compute.") + ("field-charac,p", po::value<int>(&p)->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 Rips 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(); + } +} |