diff options
Diffstat (limited to 'example/Persistent_cohomology')
17 files changed, 1274 insertions, 589 deletions
diff --git a/example/Persistent_cohomology/CMakeLists.txt b/example/Persistent_cohomology/CMakeLists.txt index d97d1b63..3c45e79b 100644 --- a/example/Persistent_cohomology/CMakeLists.txt +++ b/example/Persistent_cohomology/CMakeLists.txt @@ -1,19 +1,21 @@ 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_distance_matrix_persistence rips_distance_matrix_persistence.cpp) +target_link_libraries(rips_distance_matrix_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) + add_executable(rips_persistence rips_persistence.cpp) target_link_libraries(rips_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) +add_executable(rips_persistence_step_by_step rips_persistence_step_by_step.cpp) +target_link_libraries(rips_persistence_step_by_step ${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}) @@ -23,62 +25,82 @@ target_link_libraries(persistence_from_file ${Boost_SYSTEM_LIBRARY} ${Boost_PROG if (TBB_FOUND) target_link_libraries(plain_homology ${TBB_LIBRARIES}) target_link_libraries(persistence_from_simple_simplex_tree ${TBB_LIBRARIES}) + target_link_libraries(rips_distance_matrix_persistence ${TBB_LIBRARIES}) target_link_libraries(rips_persistence ${TBB_LIBRARIES}) + target_link_libraries(rips_persistence_step_by_step ${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) +add_test(NAME Persistent_cohomology_example_plain_homology COMMAND $<TARGET_FILE:plain_homology>) +add_test(NAME Persistent_cohomology_example_from_simple_simplex_tree COMMAND $<TARGET_FILE:persistence_from_simple_simplex_tree> + "1" "0") +add_test(NAME Persistent_cohomology_example_from_rips_distance_matrix COMMAND $<TARGET_FILE:rips_distance_matrix_persistence> + "${CMAKE_SOURCE_DIR}/data/distance_matrix/full_square_distance_matrix.csv" "-r" "1.0" "-d" "3" "-p" "3" "-m" "0") +add_test(NAME Persistent_cohomology_example_from_rips_on_tore_3D COMMAND $<TARGET_FILE:rips_persistence> + "${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off" "-r" "0.25" "-m" "0.5" "-d" "3" "-p" "3") +add_test(NAME Persistent_cohomology_example_from_rips_step_by_step_on_tore_3D COMMAND $<TARGET_FILE:rips_persistence_step_by_step> + "${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off" "-r" "0.25" "-m" "0.5" "-d" "3" "-p" "3") +add_test(NAME Persistent_cohomology_example_via_boundary_matrix COMMAND $<TARGET_FILE:rips_persistence_via_boundary_matrix> + "${CMAKE_SOURCE_DIR}/data/points/Kl.off" "-r" "0.16" "-d" "3" "-p" "3" "-m" "100") +add_test(NAME Persistent_cohomology_example_from_file_3_2_0 COMMAND $<TARGET_FILE:persistence_from_file> + "${CMAKE_SOURCE_DIR}/data/filtered_simplicial_complex/bunny_5000_complex.fsc" "-p" "2" "-m" "0") +add_test(NAME Persistent_cohomology_example_from_file_3_3_100 COMMAND $<TARGET_FILE:persistence_from_file> + "${CMAKE_SOURCE_DIR}/data/filtered_simplicial_complex/bunny_5000_complex.fsc" "-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}) + target_link_libraries(rips_multifield_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) + add_test(NAME Persistent_cohomology_example_multifield_2_71 COMMAND $<TARGET_FILE:rips_multifield_persistence> + "${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off" "-r" "0.25" "-m" "0.5" "-d" "3" "-p" "2" "-q" "71") 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}) + add_executable(exact_alpha_complex_3d_persistence exact_alpha_complex_3d_persistence.cpp) + target_link_libraries(exact_alpha_complex_3d_persistence ${Boost_SYSTEM_LIBRARY} ${CGAL_LIBRARY}) + add_executable(weighted_alpha_complex_3d_persistence weighted_alpha_complex_3d_persistence.cpp) + target_link_libraries(weighted_alpha_complex_3d_persistence ${Boost_SYSTEM_LIBRARY} ${CGAL_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(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) + add_test(NAME Persistent_cohomology_example_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence> + "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "2" "0.45") + add_test(NAME Persistent_cohomology_example_exact_alpha_complex_3d COMMAND $<TARGET_FILE:exact_alpha_complex_3d_persistence> + "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "2" "0.45") + add_test(NAME Persistent_cohomology_example_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" "2" "0.45") + + 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 + ${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(NAME Persistent_cohomology_example_alpha_complex COMMAND $<TARGET_FILE:alpha_complex_persistence> + "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45") + add_test(NAME Persistent_cohomology_example_periodic_alpha_complex_3d 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" "2" "0") + add_test(NAME Persistent_cohomology_example_custom_persistence_sort COMMAND $<TARGET_FILE:custom_persistence_sort>) + endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0) endif(CGAL_FOUND) diff --git a/example/Persistent_cohomology/README b/example/Persistent_cohomology/README index 7803e5ab..2ac79398 100644 --- a/example/Persistent_cohomology/README +++ b/example/Persistent_cohomology/README @@ -10,13 +10,13 @@ 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 +./rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 2 output: -210 0 0 inf -210 1 0.0702103 inf -2 1 0.0702103 inf -2 2 0.159992 inf +2 0 0 inf +2 1 0.0983494 inf +2 1 0.104347 inf +2 2 0.138335 inf Every line is of this format: p1*...*pr dim b d @@ -29,31 +29,45 @@ where with Z/3Z coefficients: -./rips_persistence ../../data/points/Kl.txt -r 0.25 -d 3 -p 3 -m 100 +./rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 3 output: -3 0 0 inf -3 1 0.0702103 inf +3 0 0 inf +3 1 0.0983494 inf +3 1 0.104347 inf +3 2 0.138335 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 +./rips_multifield_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.12 -d 3 -p 2 -q 3 output: -6 0 0 inf -6 1 0.0702103 inf -2 1 0.0702103 inf -2 2 0.159992 inf +6 0 0 inf +6 1 0.0983494 inf +6 1 0.104347 inf +6 2 0.138335 inf +6 0 0 0.122545 +6 0 0 0.121171 +6 0 0 0.120964 +6 0 0 0.12057 +6 0 0 0.12047 +6 0 0 0.120414 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 + ./rips_multifield_persistence ../../data/points/Kl.off -r 0.25 -m 0.5 -d 3 -p 2 -q 71 output: -557940830126698960967415390 0 0 inf -557940830126698960967415390 1 0.0702103 inf -2 1 0.0702103 inf -2 2 0.159992 inf +557940830126698960967415390 0 0 inf +557940830126698960967415390 1 0.0983494 inf +557940830126698960967415390 1 0.104347 inf +557940830126698960967415390 2 0.138335 inf +557940830126698960967415390 0 0 0.122545 +557940830126698960967415390 0 0 0.121171 +557940830126698960967415390 0 0 0.120964 +557940830126698960967415390 0 0 0.12057 +557940830126698960967415390 0 0 0.12047 +557940830126698960967415390 0 0 0.120414 *********************************************************************************************************************** Example of use of ALPHA: diff --git a/example/Persistent_cohomology/alpha_complex_3d_helper.h b/example/Persistent_cohomology/alpha_complex_3d_helper.h new file mode 100644 index 00000000..7865e4ec --- /dev/null +++ b/example/Persistent_cohomology/alpha_complex_3d_helper.h @@ -0,0 +1,76 @@ +/* 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 = 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; +} + +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/example/Persistent_cohomology/alpha_complex_3d_persistence.cpp b/example/Persistent_cohomology/alpha_complex_3d_persistence.cpp index 48fbb91a..fd227b82 100644 --- a/example/Persistent_cohomology/alpha_complex_3d_persistence.cpp +++ b/example/Persistent_cohomology/alpha_complex_3d_persistence.cpp @@ -4,7 +4,7 @@ * * Author(s): Vincent Rouvreau * - * Copyright (C) 2014 INRIA Saclay (France) + * 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 @@ -20,10 +20,11 @@ * 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 <boost/variant.hpp> #include <CGAL/Exact_predicates_inexact_constructions_kernel.h> #include <CGAL/Delaunay_triangulation_3.h> @@ -39,84 +40,42 @@ #include <list> #include <vector> +#include "alpha_complex_3d_helper.h" + // 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; +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 -typedef Kernel::Point_3 Point_3; +using Point_3 = Kernel::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; +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::list<Alpha_shape_3::Vertex_handle>; // 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) { +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 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 PCOH = Gudhi::persistent_cohomology::Persistent_cohomology< ST, Gudhi::persistent_cohomology::Field_Zp >; + +void usage(const std::string& progName) { std::cerr << "Usage: " << progName << " path_to_file_graph coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n"; exit(-1); @@ -132,7 +91,7 @@ int main(int argc, char * const argv[]) { int coeff_field_characteristic = atoi(argv[2]); Filtration_value min_persistence = 0.0; - int returnedScanValue = sscanf(argv[3], "%lf", &min_persistence); + int returnedScanValue = sscanf(argv[3], "%f", &min_persistence); if ((returnedScanValue == EOF) || (min_persistence < -1.0)) { std::cerr << "Error: " << argv[3] << " is not correct\n"; usage(argv[0]); @@ -184,30 +143,29 @@ int main(int argc, char * const argv[]) { 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 = from_cell<Vertex_list, Cell_handle>(*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); + vertex_list = from_facet<Vertex_list, Facet>(*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); + vertex_list = from_edge<Vertex_list, Edge_3>(*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)) { + } else if (const Vertex_handle * vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { count_vertices++; - vertex_list = from(*vertex); + 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_tree; diff --git a/example/Persistent_cohomology/alpha_complex_persistence.cpp b/example/Persistent_cohomology/alpha_complex_persistence.cpp index cb181936..9e84e91f 100644 --- a/example/Persistent_cohomology/alpha_complex_persistence.cpp +++ b/example/Persistent_cohomology/alpha_complex_persistence.cpp @@ -4,11 +4,16 @@ #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 @@ -30,35 +35,38 @@ int main(int argc, char **argv) { // 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(); + 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; diff --git a/example/Persistent_cohomology/custom_persistence_sort.cpp b/example/Persistent_cohomology/custom_persistence_sort.cpp index 9af38611..64f2a4dc 100644 --- a/example/Persistent_cohomology/custom_persistence_sort.cpp +++ b/example/Persistent_cohomology/custom_persistence_sort.cpp @@ -27,6 +27,8 @@ #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 <iterator> @@ -38,6 +40,9 @@ using Kernel = CGAL::Epick_d< CGAL::Dimension_tag<3> >; using Point = Kernel::Point_d; using Alpha_complex = Gudhi::alpha_complex::Alpha_complex<Kernel>; +using Simplex_tree = Gudhi::Simplex_tree<>; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology< Simplex_tree, + Gudhi::persistent_cohomology::Field_Zp >; std::vector<Point> random_points() { // Instanciate a random point generator @@ -60,7 +65,7 @@ std::vector<Point> random_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) + explicit cmp_intervals_by_dim_then_length(Simplex_tree * sc) : sc_(sc) { } template<typename Persistent_interval> @@ -71,46 +76,62 @@ struct cmp_intervals_by_dim_then_length { else return (sc_->dimension(get < 0 > (p1)) > sc_->dimension(get < 0 > (p2))); } - Alpha_complex* sc_; + Simplex_tree* sc_; }; int main(int argc, char **argv) { std::vector<Point> points = random_points(); + std::cout << "Points size=" << points.size() << std::endl; // 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; + Alpha_complex alpha_complex_from_points(points); + std::cout << "alpha_complex_from_points" << std::endl; + + Simplex_tree simplex; + std::cout << "simplex" << std::endl; + if (alpha_complex_from_points.create_complex(simplex, 0.6)) { + std::cout << "simplex" << std::endl; + // ---------------------------------------------------------------------------- + // 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; + + Persistent_cohomology pcoh(simplex); + + // 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(&simplex); + 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 << simplex.dimension(get<0>(pair)) << " " + << simplex.filtration(get<0>(pair)) << " " + << simplex.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 < simplex.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; } - - // 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/exact_alpha_complex_3d_persistence.cpp b/example/Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp new file mode 100644 index 00000000..8a335075 --- /dev/null +++ b/example/Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp @@ -0,0 +1,245 @@ +/* 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 <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 <list> +#include <vector> + +#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::list<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 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 PCOH = Gudhi::persistent_cohomology::Persistent_cohomology< ST, Gudhi::persistent_cohomology::Field_Zp >; + +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], "%f", &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<Vertex_list, Cell_handle>(*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<Vertex_list, Facet>(*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<Vertex_list, Edge_3>(*edge); + count_edges++; + if (dim_max < 1) { + // Edge_3 is of dim 1 + dim_max = 1; + } + } 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_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 + // 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 + 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/performance_rips_persistence.cpp b/example/Persistent_cohomology/performance_rips_persistence.cpp deleted file mode 100644 index b4d282ac..00000000 --- a/example/Persistent_cohomology/performance_rips_persistence.cpp +++ /dev/null @@ -1,214 +0,0 @@ -/* This file is part of the Gudhi Library. The Gudhi library - * (Geometric Understanding in Higher Dimensions) is a generic C++ - * library for computational topology. - * - * Author(s): 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 index a199fea1..8928cfc2 100644 --- a/example/Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp +++ b/example/Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp @@ -4,7 +4,7 @@ * * Author(s): Vincent Rouvreau * - * Copyright (C) 2014 INRIA Saclay (France) + * 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 @@ -20,10 +20,11 @@ * 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 <boost/variant.hpp> #include <CGAL/Exact_predicates_inexact_constructions_kernel.h> #include <CGAL/Periodic_3_Delaunay_triangulation_traits_3.h> @@ -39,6 +40,9 @@ #include <utility> #include <list> #include <vector> +#include <cstdlib> + +#include "alpha_complex_3d_helper.h" // Traits using K = CGAL::Exact_predicates_inexact_constructions_kernel; @@ -66,10 +70,12 @@ using Dispatch = CGAL::Dispatch_output_iterator< 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::list<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 Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; @@ -77,52 +83,6 @@ 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"; @@ -136,19 +96,8 @@ int main(int argc, char * const argv[]) { 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]); - } + int coeff_field_characteristic = atoi(argv[3]); + Filtration_value min_persistence = strtof(argv[4], nullptr); // Read points from file std::string offInputFile(argv[1]); @@ -212,21 +161,21 @@ int main(int argc, char * const argv[]) { 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 = from_cell<Vertex_list, Cell_handle>(*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); + vertex_list = from_facet<Vertex_list, Facet>(*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); + vertex_list = from_edge<Vertex_list, Edge_3>(*edge); count_edges++; if (dim_max < 1) { // Edge_3 is of dim 1 @@ -235,7 +184,7 @@ int main(int argc, char * const argv[]) { } 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); + 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_tree; diff --git a/example/Persistent_cohomology/persistence_from_simple_simplex_tree.cpp b/example/Persistent_cohomology/persistence_from_simple_simplex_tree.cpp index ba772f04..7ca9410a 100644 --- a/example/Persistent_cohomology/persistence_from_simple_simplex_tree.cpp +++ b/example/Persistent_cohomology/persistence_from_simple_simplex_tree.cpp @@ -4,7 +4,7 @@ * * Author(s): Vincent Rouvreau * - * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) + * 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 @@ -29,13 +29,12 @@ #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; +// Types definition +using Simplex_tree = Gudhi::Simplex_tree<>; +using Filtration_value = Simplex_tree::Filtration_value; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >; +using typeVectorVertex = std::vector< Simplex_tree::Vertex_handle >; void usage(char * const progName) { std::cerr << "Usage: " << progName << " coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n"; @@ -66,7 +65,7 @@ int main(int argc, char * const argv[]) { // TEST OF INSERTION std::cout << "********************************************************************" << std::endl; std::cout << "TEST OF INSERTION" << std::endl; - typeST st; + Simplex_tree st; // ++ FIRST std::cout << " - INSERT (0,1,2)" << std::endl; @@ -166,7 +165,7 @@ int main(int argc, char * const argv[]) { std::cout << "**************************************************************" << std::endl; // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh(st); + Persistent_cohomology pcoh(st); // initializes the coefficient field for homology pcoh.init_coefficients(coeff_field_characteristic); diff --git a/example/Persistent_cohomology/plain_homology.cpp b/example/Persistent_cohomology/plain_homology.cpp index ae82c817..50f692f2 100644 --- a/example/Persistent_cohomology/plain_homology.cpp +++ b/example/Persistent_cohomology/plain_homology.cpp @@ -27,13 +27,11 @@ #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 { +struct MyOptions : Gudhi::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 @@ -43,7 +41,10 @@ struct MyOptions : Simplex_tree_options_full_featured { // 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; + +using ST = Gudhi::Simplex_tree<MyOptions>; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<ST, Field_Zp>; int main() { ST st; @@ -70,7 +71,7 @@ int main() { st.initialize_filtration(); // Class for homology computation - persistent_cohomology::Persistent_cohomology<ST, persistent_cohomology::Field_Zp> pcoh(st); + Persistent_cohomology pcoh(st); // Initialize the coefficient field Z/2Z for homology pcoh.init_coefficients(2); diff --git a/example/Persistent_cohomology/rips_distance_matrix_persistence.cpp b/example/Persistent_cohomology/rips_distance_matrix_persistence.cpp new file mode 100644 index 00000000..8517e7f6 --- /dev/null +++ b/example/Persistent_cohomology/rips_distance_matrix_persistence.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): Pawel Dlotko, Vincent Rouvreau + * + * Copyright (C) 2016 INRIA + * + * This program is free software: you can redistribute it and/or modify + * it under the terms of the GNU General Public License as published by + * the Free Software Foundation, either version 3 of the License, or + * (at your option) any later version. + * + * This program is distributed in the hope that it will be useful, + * but WITHOUT ANY WARRANTY; without even the implied warranty of + * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + * GNU General Public License for more details. + * + * You should have received a copy of the GNU General Public License + * along with this program. If not, see <http://www.gnu.org/licenses/>. + */ + +#include <gudhi/Rips_complex.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/reader_utils.h> + +#include <boost/program_options.hpp> + +#include <string> +#include <vector> +#include <limits> // infinity + +// Types definition +using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; +using Filtration_value = Simplex_tree::Filtration_value; +using Rips_complex = Gudhi::rips_complex::Rips_complex<Filtration_value>; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >; +using Distance_matrix = std::vector<std::vector<Filtration_value>>; + +void program_options(int argc, char * argv[] + , std::string & csv_matrix_file + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string csv_matrix_file; + std::string filediag; + Filtration_value threshold; + int dim_max; + int p; + Filtration_value min_persistence; + + program_options(argc, argv, csv_matrix_file, filediag, threshold, dim_max, p, min_persistence); + + Distance_matrix distances = read_lower_triangular_matrix_from_csv_file<Filtration_value>(csv_matrix_file); + Rips_complex rips_complex_from_file(distances, threshold); + + // Construct the Rips complex in a Simplex Tree + Simplex_tree simplex_tree; + + rips_complex_from_file.create_complex(simplex_tree, dim_max); + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; + + // Sort the simplices in the order of the filtration + simplex_tree.initialize_filtration(); + + // Compute the persistence diagram of the complex + Persistent_cohomology pcoh(simplex_tree); + // 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 & csv_matrix_file + , 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>(&csv_matrix_file), + "Name of file containing a distance matrix. Can be square or lower triangular matrix. Separator is ';'."); + + 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 distance matrix.\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_multifield_persistence.cpp b/example/Persistent_cohomology/rips_multifield_persistence.cpp index c5cd775d..dae36ed2 100644 --- a/example/Persistent_cohomology/rips_multifield_persistence.cpp +++ b/example/Persistent_cohomology/rips_multifield_persistence.cpp @@ -4,7 +4,7 @@ * * Author(s): Clément Maria * - * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) + * 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 @@ -20,26 +20,29 @@ * 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/Rips_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/Points_off_io.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; +// Types definition +using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; +using Filtration_value = Simplex_tree::Filtration_value; +using Rips_complex = Gudhi::rips_complex::Rips_complex<Filtration_value>; +using Multi_field = Gudhi::persistent_cohomology::Multi_field; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Multi_field >; +using Point = std::vector<double>; +using Points_off_reader = Gudhi::Points_off_reader<Point>; void program_options(int argc, char * argv[] - , std::string & filepoints + , std::string & off_file_points , std::string & filediag , Filtration_value & threshold , int & dim_max @@ -48,7 +51,7 @@ void program_options(int argc, char * argv[] , Filtration_value & min_persistence); int main(int argc, char * argv[]) { - std::string filepoints; + std::string off_file_points; std::string filediag; Filtration_value threshold; int dim_max; @@ -56,33 +59,26 @@ int main(int argc, char * argv[]) { 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); + program_options(argc, argv, off_file_points, filediag, threshold, dim_max, min_p, max_p, min_persistence); - // Compute the proximity graph of the points - Graph_t prox_graph = compute_proximity_graph(points, threshold - , euclidean_distance<Point_t>); + Points_off_reader off_reader(off_file_points); + Rips_complex rips_complex_from_file(off_reader.get_point_cloud(), threshold, Gudhi::Euclidean_distance()); // 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); + Simplex_tree simplex_tree; + + rips_complex_from_file.create_complex(simplex_tree, dim_max); + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; // Sort the simplices in the order of the filtration - st.initialize_filtration(); + simplex_tree.initialize_filtration(); // Compute the persistence diagram of the complex - Persistent_cohomology<ST, Multi_field > pcoh(st); + Persistent_cohomology pcoh(simplex_tree); // 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 @@ -98,7 +94,7 @@ int main(int argc, char * argv[]) { } void program_options(int argc, char * argv[] - , std::string & filepoints + , std::string & off_file_points , std::string & filediag , Filtration_value & threshold , int & dim_max @@ -108,8 +104,8 @@ void program_options(int argc, char * argv[] 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"); + ("input-file", po::value<std::string>(&off_file_points), + "Name of an OFF file containing a point set.\n"); po::options_description visible("Allowed options"); visible.add_options() diff --git a/example/Persistent_cohomology/rips_persistence.cpp b/example/Persistent_cohomology/rips_persistence.cpp index cab49395..d504798b 100644 --- a/example/Persistent_cohomology/rips_persistence.cpp +++ b/example/Persistent_cohomology/rips_persistence.cpp @@ -4,7 +4,7 @@ * * Author(s): Clément Maria * - * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France) + * 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 @@ -20,11 +20,11 @@ * 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/Rips_complex.h> #include <gudhi/distance_functions.h> #include <gudhi/Simplex_tree.h> #include <gudhi/Persistent_cohomology.h> +#include <gudhi/Points_off_io.h> #include <boost/program_options.hpp> @@ -32,14 +32,17 @@ #include <vector> #include <limits> // infinity -using namespace Gudhi; -using namespace Gudhi::persistent_cohomology; - -typedef int Vertex_handle; -typedef double Filtration_value; +// Types definition +using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; +using Filtration_value = Simplex_tree::Filtration_value; +using Rips_complex = Gudhi::rips_complex::Rips_complex<Filtration_value>; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >; +using Point = std::vector<double>; +using Points_off_reader = Gudhi::Points_off_reader<Point>; void program_options(int argc, char * argv[] - , std::string & filepoints + , std::string & off_file_points , std::string & filediag , Filtration_value & threshold , int & dim_max @@ -47,40 +50,30 @@ void program_options(int argc, char * argv[] , Filtration_value & min_persistence); int main(int argc, char * argv[]) { - std::string filepoints; + std::string off_file_points; 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); + program_options(argc, argv, off_file_points, filediag, threshold, dim_max, p, min_persistence); - // Compute the proximity graph of the points - Graph_t prox_graph = compute_proximity_graph(points, threshold - , euclidean_distance<Point_t>); + Points_off_reader off_reader(off_file_points); + Rips_complex rips_complex_from_file(off_reader.get_point_cloud(), threshold, Gudhi::Euclidean_distance()); // 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); + Simplex_tree simplex_tree; - std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; - std::cout << " and has dimension " << st.dimension() << " \n"; + rips_complex_from_file.create_complex(simplex_tree, dim_max); + std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; + std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; // Sort the simplices in the order of the filtration - st.initialize_filtration(); + simplex_tree.initialize_filtration(); // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology<ST, Field_Zp > pcoh(st); + Persistent_cohomology pcoh(simplex_tree); // initializes the coefficient field for homology pcoh.init_coefficients(p); @@ -99,7 +92,7 @@ int main(int argc, char * argv[]) { } void program_options(int argc, char * argv[] - , std::string & filepoints + , std::string & off_file_points , std::string & filediag , Filtration_value & threshold , int & dim_max @@ -108,15 +101,16 @@ void program_options(int argc, char * argv[] 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 "); + ("input-file", po::value<std::string>(&off_file_points), + "Name of an OFF file containing a point set.\n"); 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()), + ("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.") diff --git a/example/Persistent_cohomology/rips_persistence_step_by_step.cpp b/example/Persistent_cohomology/rips_persistence_step_by_step.cpp new file mode 100644 index 00000000..554eeba6 --- /dev/null +++ b/example/Persistent_cohomology/rips_persistence_step_by_step.cpp @@ -0,0 +1,217 @@ +/* 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/graph_simplicial_complex.h> +#include <gudhi/distance_functions.h> +#include <gudhi/Simplex_tree.h> +#include <gudhi/Persistent_cohomology.h> +#include <gudhi/Points_off_io.h> + +#include <boost/program_options.hpp> + +#include <string> +#include <vector> +#include <limits> // infinity +#include <utility> // for pair +#include <map> + +// ---------------------------------------------------------------------------- +// rips_persistence_step_by_step is an example of each step that is required to +// build a Rips over a Simplex_tree. Please refer to rips_persistence to see +// how to do the same thing with the Rips_complex wrapper for less detailed +// steps. +// ---------------------------------------------------------------------------- + +// Types definition +using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; +using Vertex_handle = Simplex_tree::Vertex_handle; +using Filtration_value = Simplex_tree::Filtration_value; +using Graph_t = boost::adjacency_list < boost::vecS, boost::vecS, boost::undirectedS +, boost::property < vertex_filtration_t, Filtration_value > +, boost::property < edge_filtration_t, Filtration_value > +>; +using Edge_t = std::pair< Vertex_handle, Vertex_handle >; + +template< typename InputPointRange, typename Distance > +Graph_t compute_proximity_graph(InputPointRange &points, Filtration_value threshold, Distance distance); + +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >; +using Point = std::vector<double>; +using Points_off_reader = Gudhi::Points_off_reader<Point>; + +void program_options(int argc, char * argv[] + , std::string & off_file_points + , std::string & filediag + , Filtration_value & threshold + , int & dim_max + , int & p + , Filtration_value & min_persistence); + +int main(int argc, char * argv[]) { + std::string off_file_points; + std::string filediag; + Filtration_value threshold; + int dim_max; + int p; + Filtration_value min_persistence; + + program_options(argc, argv, off_file_points, filediag, threshold, dim_max, p, min_persistence); + + // Extract the points from the file filepoints + Points_off_reader off_reader(off_file_points); + + // Compute the proximity graph of the points + Graph_t prox_graph = compute_proximity_graph(off_reader.get_point_cloud(), threshold + , Gudhi::Euclidean_distance()); + + // Construct the Rips complex in a Simplex Tree + Simplex_tree 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 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 & off_file_points + , 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>(&off_file_points), + "Name of an OFF file containing a point set.\n"); + + 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(); + } +} + +/** Output the proximity graph of the points. + * + * If points contains n elements, the proximity graph is the graph + * with n vertices, and an edge [u,v] iff the distance function between + * points u and v is smaller than threshold. + * + * The type PointCloud furnishes .begin() and .end() methods, that return + * iterators with value_type Point. + */ +template< typename InputPointRange, typename Distance > +Graph_t compute_proximity_graph(InputPointRange &points, Filtration_value threshold, Distance distance) { + std::vector< Edge_t > edges; + std::vector< Filtration_value > edges_fil; + + Vertex_handle idx_u, idx_v; + Filtration_value fil; + idx_u = 0; + for (auto it_u = points.begin(); it_u != points.end(); ++it_u) { + idx_v = idx_u + 1; + for (auto it_v = it_u + 1; it_v != points.end(); ++it_v, ++idx_v) { + fil = distance(*it_u, *it_v); + if (fil <= threshold) { + edges.emplace_back(idx_u, idx_v); + edges_fil.push_back(fil); + } + } + ++idx_u; + } + + Graph_t skel_graph(edges.begin() + , edges.end() + , edges_fil.begin() + , idx_u); // number of points labeled from 0 to idx_u-1 + + auto vertex_prop = boost::get(vertex_filtration_t(), skel_graph); + + boost::graph_traits<Graph_t>::vertex_iterator vi, vi_end; + for (std::tie(vi, vi_end) = boost::vertices(skel_graph); + vi != vi_end; ++vi) { + boost::put(vertex_prop, *vi, 0.); + } + + return skel_graph; +} diff --git a/example/Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp b/example/Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp index 4c6656f5..9618f278 100644 --- a/example/Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp +++ b/example/Persistent_cohomology/rips_persistence_via_boundary_matrix.cpp @@ -4,8 +4,7 @@ * * Author(s): Clément Maria, Marc Glisse * - * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (France), - * 2015 INRIA Saclay Île de France) + * 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 @@ -21,12 +20,12 @@ * 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/Rips_complex.h> #include <gudhi/Hasse_complex.h> +#include <gudhi/Points_off_io.h> +#include <gudhi/distance_functions.h> #include <boost/program_options.hpp> @@ -44,14 +43,16 @@ // // //////////////////////////////////////////////////////////////// -using namespace Gudhi; -using namespace Gudhi::persistent_cohomology; - -typedef int Vertex_handle; -typedef double Filtration_value; +// Types definition +using Simplex_tree = Gudhi::Simplex_tree<>; +using Filtration_value = Simplex_tree::Filtration_value; +using Rips_complex = Gudhi::rips_complex::Rips_complex<Filtration_value>; +using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; +using Point = std::vector<double>; +using Points_off_reader = Gudhi::Points_off_reader<Point>; void program_options(int argc, char * argv[] - , std::string & filepoints + , std::string & off_file_points , std::string & filediag , Filtration_value & threshold , int & dim_max @@ -59,30 +60,21 @@ void program_options(int argc, char * argv[] , Filtration_value & min_persistence); int main(int argc, char * argv[]) { - std::string filepoints; + std::string off_file_points; 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); + program_options(argc, argv, off_file_points, filediag, threshold, dim_max, p, min_persistence); - // Compute the proximity graph of the points - Graph_t prox_graph = compute_proximity_graph(points, threshold - , euclidean_distance<Point_t>); + Points_off_reader off_reader(off_file_points); + Rips_complex rips_complex_from_file(off_reader.get_point_cloud(), threshold, Gudhi::Euclidean_distance()); // 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); + Simplex_tree& st = *new Simplex_tree; + rips_complex_from_file.create_complex(st, dim_max); std::cout << "The complex contains " << st.num_simplices() << " simplices \n"; std::cout << " and has dimension " << st.dimension() << " \n"; @@ -99,7 +91,7 @@ int main(int argc, char * argv[]) { st.assign_key(sh, count++); // Convert to a more convenient representation. - Hasse_complex<> hcpx(st); + Gudhi::Hasse_complex<> hcpx(st); #ifdef GUDHI_USE_TBB ts.terminate(); @@ -109,7 +101,7 @@ int main(int argc, char * argv[]) { delete &st; // Compute the persistence diagram of the complex - persistent_cohomology::Persistent_cohomology< Hasse_complex<>, Field_Zp > pcoh(hcpx); + Gudhi::persistent_cohomology::Persistent_cohomology< Gudhi::Hasse_complex<>, Field_Zp > pcoh(hcpx); // initializes the coefficient field for homology pcoh.init_coefficients(p); @@ -126,7 +118,7 @@ int main(int argc, char * argv[]) { } void program_options(int argc, char * argv[] - , std::string & filepoints + , std::string & off_file_points , std::string & filediag , Filtration_value & threshold , int & dim_max @@ -135,7 +127,7 @@ void program_options(int argc, char * argv[] namespace po = boost::program_options; po::options_description hidden("Hidden options"); hidden.add_options() - ("input-file", po::value<std::string>(&filepoints), + ("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); diff --git a/example/Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp b/example/Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp new file mode 100644 index 00000000..34b90933 --- /dev/null +++ b/example/Persistent_cohomology/weighted_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/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/Regular_triangulation_euclidean_traits_3.h> +#include <CGAL/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 <list> +#include <vector> +#include <cstdlib> + +#include "alpha_complex_3d_helper.h" + +// Traits +using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; +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>; +using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>; + +// From file type definition +using Point_3 = Gt::Bare_point; +using Weighted_point_3 = Gt::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::list<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 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 >; + +void usage(char * const progName) { + std::cerr << "Usage: " << progName << + " path_to_file_graph path_to_weight_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 = atoi(argv[3]); + Filtration_value min_persistence = strtof(argv[4], 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 triangulation + std::vector<Point_3> lp = off_reader.get_point_cloud(); + + // Read weights information from file + std::ifstream weights_ifstr(argv[2]); + std::vector<Weighted_point_3> wp; + if (weights_ifstr.good()) { + double weight = 0.0; + std::size_t index = 0; + // 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 " << argv[2] << std::endl; + usage(argv[0]); + } + } else { + std::cerr << "Unable to read file " << argv[2] << std::endl; + usage(argv[0]); + } + + // 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<Vertex_list, Cell_handle>(*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<Vertex_list, Facet>(*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<Vertex_list, Edge_3>(*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<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_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; +} |