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-rw-r--r--src/Alpha_complex/utilities/CMakeLists.txt101
-rw-r--r--src/Alpha_complex/utilities/alpha_complex_3d_helper.h74
-rw-r--r--src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp367
-rw-r--r--src/Alpha_complex/utilities/alphacomplex.md145
-rw-r--r--src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp265
-rw-r--r--src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp302
-rw-r--r--src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp316
-rw-r--r--src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp288
8 files changed, 307 insertions, 1551 deletions
diff --git a/src/Alpha_complex/utilities/CMakeLists.txt b/src/Alpha_complex/utilities/CMakeLists.txt
index 7ace6064..b12c9690 100644
--- a/src/Alpha_complex/utilities/CMakeLists.txt
+++ b/src/Alpha_complex/utilities/CMakeLists.txt
@@ -1,64 +1,61 @@
project(Alpha_complex_utilities)
-if(CGAL_FOUND)
- add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp)
- target_link_libraries(alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
- add_executable(exact_alpha_complex_3d_persistence exact_alpha_complex_3d_persistence.cpp)
- target_link_libraries(exact_alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
- add_executable(weighted_alpha_complex_3d_persistence weighted_alpha_complex_3d_persistence.cpp)
- target_link_libraries(weighted_alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
+if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0)
+ add_executable (alpha_complex_persistence alpha_complex_persistence.cpp)
+ target_link_libraries(alpha_complex_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
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})
+ target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES})
endif(TBB_FOUND)
-
- add_test(NAME Alpha_complex_utilities_alpha_complex_3d_persistence COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ add_test(NAME Alpha_complex_utilities_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
"${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45")
- add_test(NAME Alpha_complex_utilities_exact_alpha_complex_3d COMMAND $<TARGET_FILE:exact_alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45")
- add_test(NAME Alpha_complex_utilities_weighted_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.weights" "-p" "2" "-m" "0.45")
-
- install(TARGETS alpha_complex_3d_persistence DESTINATION bin)
- install(TARGETS exact_alpha_complex_3d_persistence DESTINATION bin)
- install(TARGETS weighted_alpha_complex_3d_persistence DESTINATION bin)
-
- if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0)
- add_executable (alpha_complex_persistence alpha_complex_persistence.cpp)
- target_link_libraries(alpha_complex_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
-
- add_executable(periodic_alpha_complex_3d_persistence periodic_alpha_complex_3d_persistence.cpp)
- target_link_libraries(periodic_alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
-
- if (TBB_FOUND)
- target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES})
- target_link_libraries(periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES})
- endif(TBB_FOUND)
- add_test(NAME Alpha_complex_utilities_alpha_complex_persistence COMMAND $<TARGET_FILE:alpha_complex_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45")
- add_test(NAME Alpha_complex_utilities_periodic_alpha_complex_3d_persistence COMMAND $<TARGET_FILE:periodic_alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt" "-p" "2" "-m" "0")
- install(TARGETS alpha_complex_persistence DESTINATION bin)
- install(TARGETS periodic_alpha_complex_3d_persistence DESTINATION bin)
+ install(TARGETS alpha_complex_persistence DESTINATION bin)
- endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0)
+endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0)
- if (NOT CGAL_VERSION VERSION_LESS 4.11.0)
- add_executable(weighted_periodic_alpha_complex_3d_persistence weighted_periodic_alpha_complex_3d_persistence.cpp)
- target_link_libraries(weighted_periodic_alpha_complex_3d_persistence ${CGAL_LIBRARY})
- if (TBB_FOUND)
- target_link_libraries(weighted_periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES})
- endif(TBB_FOUND)
-
- add_test(NAME Alpha_complex_utilities_weigted_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_periodic_alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
- "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt" "3" "1.0")
+if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
+ add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp)
+ target_link_libraries(alpha_complex_3d_persistence ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(alpha_complex_3d_persistence ${TBB_LIBRARIES})
+ endif(TBB_FOUND)
- install(TARGETS weighted_periodic_alpha_complex_3d_persistence DESTINATION bin)
+ add_test(NAME Alpha_complex_utilities_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
+ "-p" "2" "-m" "0.45" "-o" "alpha.pers")
+
+ add_test(NAME Alpha_complex_utilities_exact_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
+ "-p" "2" "-m" "0.45" "-o" "exact.pers" "-e")
+
+ add_test(NAME Alpha_complex_utilities_safe_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off"
+ "-p" "2" "-m" "0.45" "-o" "safe.pers" "-s")
+
+ if (DIFF_PATH)
+ add_test(Alpha_complex_utilities_diff_alpha_complex_3d ${DIFF_PATH}
+ "exact.pers" "alpha.pers")
+ add_test(Alpha_complex_utilities_diff_alpha_complex_3d ${DIFF_PATH}
+ "safe.pers" "alpha.pers")
+ endif()
+
+ add_test(NAME Alpha_complex_utilities_periodic_alpha_complex_3d_persistence COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
+ "-c" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt"
+ "-p" "2" "-m" "0")
+
+ add_test(NAME Alpha_complex_utilities_weighted_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
+ "-w" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
+ "-p" "2" "-m" "0")
+
+ add_test(NAME Alpha_complex_utilities_weighted_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off"
+ "-w" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
+ "-c" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt"
+ "-p" "2" "-m" "0" "-e")
- endif (NOT CGAL_VERSION VERSION_LESS 4.11.0)
+ install(TARGETS alpha_complex_3d_persistence DESTINATION bin)
-endif(CGAL_FOUND)
+endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.11.0)
diff --git a/src/Alpha_complex/utilities/alpha_complex_3d_helper.h b/src/Alpha_complex/utilities/alpha_complex_3d_helper.h
deleted file mode 100644
index a72fd96d..00000000
--- a/src/Alpha_complex/utilities/alpha_complex_3d_helper.h
+++ /dev/null
@@ -1,74 +0,0 @@
-/* This file is part of the Gudhi Library. The Gudhi library
- * (Geometric Understanding in Higher Dimensions) is a generic C++
- * library for computational topology.
- *
- * Author(s): Vincent Rouvreau
- *
- * Copyright (C) 2014 Inria
- *
- * This program is free software: you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation, either version 3 of the License, or
- * (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
- */
-
-#ifndef ALPHA_COMPLEX_3D_HELPER_H_
-#define ALPHA_COMPLEX_3D_HELPER_H_
-
-template <class Vertex_list, class Cell_handle>
-Vertex_list from_cell(const Cell_handle& ch) {
- Vertex_list the_list;
- for (auto i = 0; i < 4; i++) {
-#ifdef DEBUG_TRACES
- std::cout << "from cell[" << i << "]=" << ch->vertex(i)->point() << std::endl;
-#endif // DEBUG_TRACES
- the_list.push_back(ch->vertex(i));
- }
- return the_list;
-}
-
-template <class Vertex_list, class Facet>
-Vertex_list from_facet(const Facet& fct) {
- Vertex_list the_list;
- for (auto i = 0; i < 4; i++) {
- if (fct.second != i) {
-#ifdef DEBUG_TRACES
- std::cout << "from facet=[" << i << "]" << fct.first->vertex(i)->point() << std::endl;
-#endif // DEBUG_TRACES
- the_list.push_back(fct.first->vertex(i));
- }
- }
- return the_list;
-}
-
-template <class Vertex_list, class Edge_3>
-Vertex_list from_edge(const Edge_3& edg) {
- Vertex_list the_list;
- for (auto i : {edg.second, edg.third}) {
-#ifdef DEBUG_TRACES
- std::cout << "from edge[" << i << "]=" << edg.first->vertex(i)->point() << std::endl;
-#endif // DEBUG_TRACES
- the_list.push_back(edg.first->vertex(i));
- }
- return the_list;
-}
-
-template <class Vertex_list, class Vertex_handle>
-Vertex_list from_vertex(const Vertex_handle& vh) {
- Vertex_list the_list;
-#ifdef DEBUG_TRACES
- std::cout << "from vertex=" << vh->point() << std::endl;
-#endif // DEBUG_TRACES
- the_list.push_back(vh);
- return the_list;
-}
-
-#endif // ALPHA_COMPLEX_3D_HELPER_H_
diff --git a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
index 6e603155..d14ba375 100644
--- a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
+++ b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
@@ -20,188 +20,218 @@
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
-#include <boost/version.hpp>
#include <boost/program_options.hpp>
#include <boost/variant.hpp>
-#if BOOST_VERSION >= 105400
-#include <boost/container/static_vector.hpp>
-#endif
-
+#include <gudhi/Alpha_complex_3d.h>
#include <gudhi/Simplex_tree.h>
#include <gudhi/Persistent_cohomology.h>
#include <gudhi/Points_3D_off_io.h>
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Delaunay_triangulation_3.h>
-#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/iterator.h>
-
#include <fstream>
-#include <cmath>
#include <string>
-#include <tuple>
-#include <map>
-#include <utility>
#include <vector>
-#include <cstdlib>
-
-#include "alpha_complex_3d_helper.h"
-
-// Alpha_shape_3 templates type definitions
-using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel>;
-using Fb = CGAL::Alpha_shape_cell_base_3<Kernel>;
-using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
-using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>;
-using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>;
-
-// From file type definition
-using Point_3 = Kernel::Point_3;
-
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch =
- CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>,
- CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >,
- std::back_insert_iterator<std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-
-#if BOOST_VERSION >= 105400
-using Vertex_list = boost::container::static_vector<Alpha_shape_3::Vertex_handle, 4>;
-#else
-using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>;
-#endif
// gudhi type definition
-using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
-using Filtration_value = ST::Filtration_value;
-using Simplex_tree_vertex = ST::Vertex_handle;
-using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
-using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
+using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
+using Filtration_value = Simplex_tree::Filtration_value;
using Persistent_cohomology =
- Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
-
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag,
- int &coeff_field_characteristic, Filtration_value &min_persistence);
-
-int main(int argc, char **argv) {
- std::string off_file_points;
- std::string output_file_diag;
- int coeff_field_characteristic;
- Filtration_value min_persistence;
+ Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Gudhi::persistent_cohomology::Field_Zp>;
+
+void program_options(int argc, char *argv[], std::string &off_file_points, bool &exact, bool &safe,
+ std::string &weight_file, std::string &cuboid_file, std::string &output_file_diag,
+ Filtration_value &alpha_square_max_value, int &coeff_field_characteristic,
+ Filtration_value &min_persistence);
+
+bool read_weight_file(const std::string &weight_file, std::vector<double> &weights) {
+ // Read weights information from file
+ std::ifstream weights_ifstr(weight_file);
+ if (weights_ifstr.good()) {
+ double weight = 0.0;
+ // Attempt read the weight in a double format, return false if it fails
+ while (weights_ifstr >> weight) {
+ weights.push_back(weight);
+ }
+ } else {
+ return false;
+ }
+ return true;
+}
- program_options(argc, argv, off_file_points, output_file_diag, coeff_field_characteristic, min_persistence);
+bool read_cuboid_file(const std::string &cuboid_file, double &x_min, double &y_min, double &z_min, double &x_max,
+ double &y_max, double &z_max) {
+ // Read weights information from file
+ std::ifstream iso_cuboid_str(cuboid_file);
+ if (iso_cuboid_str.is_open()) {
+ if (!(iso_cuboid_str >> x_min >> y_min >> z_min >> x_max >> y_max >> z_max)) {
+ return false;
+ }
+ } else {
+ return false;
+ }
+ return true;
+}
+template <typename AlphaComplex3d>
+std::vector<typename AlphaComplex3d::Point_3> read_off(const std::string &off_file_points) {
// Read the OFF file (input file name given as parameter) and triangulate points
- Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points);
+ Gudhi::Points_3D_off_reader<typename AlphaComplex3d::Point_3> off_reader(off_file_points);
// Check the read operation was correct
if (!off_reader.is_valid()) {
- std::cerr << "Unable to read file " << off_file_points << std::endl;
+ std::cerr << "Unable to read OFF file " << off_file_points << std::endl;
exit(-1);
}
+ return off_reader.get_point_cloud();
+}
- // Retrieve the points
- std::vector<Point_3> lp = off_reader.get_point_cloud();
-
- // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode.
- Alpha_shape_3 as(lp.begin(), lp.end(), 0, Alpha_shape_3::GENERAL);
-#ifdef DEBUG_TRACES
- std::cout << "Alpha shape computed in GENERAL mode" << std::endl;
-#endif // DEBUG_TRACES
-
- // filtration with alpha values from alpha shape
- std::vector<Object> the_objects;
- std::vector<Alpha_value_type> the_alpha_values;
-
- Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects),
- std::back_inserter(the_alpha_values));
-
- as.filtration_with_alpha_values(disp);
-#ifdef DEBUG_TRACES
- std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl;
-#endif // DEBUG_TRACES
-
- Alpha_shape_3::size_type count_vertices = 0;
- Alpha_shape_3::size_type count_edges = 0;
- Alpha_shape_3::size_type count_facets = 0;
- Alpha_shape_3::size_type count_cells = 0;
-
- // Loop on objects vector
- Vertex_list vertex_list;
- ST simplex_tree;
- Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
- std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
- for (auto object_iterator : the_objects) {
- // Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
- vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
- count_cells++;
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
- vertex_list = from_facet<Vertex_list, Facet>(*facet);
- count_facets++;
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
- vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
- count_edges++;
- } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
- count_vertices++;
- vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
- }
- // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
- Simplex_tree_vector_vertex the_simplex;
- for (auto the_alpha_shape_vertex : vertex_list) {
- Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
- if (the_map_iterator == map_cgal_simplex_tree.end()) {
- // alpha shape not found
- Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex);
- } else {
- // alpha shape found
- Simplex_tree_vertex vertex = the_map_iterator->second;
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- }
+int main(int argc, char **argv) {
+ std::string off_file_points;
+ std::string weight_file;
+ std::string cuboid_file;
+ std::string output_file_diag;
+ Filtration_value alpha_square_max_value = 0.;
+ int coeff_field_characteristic = 0;
+ Filtration_value min_persistence = 0.;
+ bool exact_version = false;
+ bool safe_version = false;
+ bool weighted_version = false;
+ bool periodic_version = false;
+
+ program_options(argc, argv, off_file_points, exact_version, safe_version, weight_file, cuboid_file, output_file_diag,
+ alpha_square_max_value, coeff_field_characteristic, min_persistence);
+
+ std::vector<double> weights;
+ if (weight_file != std::string()) {
+ if (!read_weight_file(weight_file, weights)) {
+ std::cerr << "Unable to read weights file " << weight_file << std::endl;
+ exit(-1);
}
- // Construction of the simplex_tree
- Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator);
-#ifdef DEBUG_TRACES
- std::cout << "filtration = " << filtr << std::endl;
-#endif // DEBUG_TRACES
- simplex_tree.insert_simplex(the_simplex, filtr);
- GUDHI_CHECK(the_alpha_value_iterator != the_alpha_values.end(), "CGAL provided more simplices than values");
- ++the_alpha_value_iterator;
+ weighted_version = true;
}
-#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;
+ double x_min = 0., y_min = 0., z_min = 0., x_max = 0., y_max = 0., z_max = 0.;
+ std::ifstream iso_cuboid_str(argv[3]);
+ if (cuboid_file != std::string()) {
+ if (!read_cuboid_file(cuboid_file, x_min, y_min, z_min, x_max, y_max, z_max)) {
+ std::cerr << "Unable to read cuboid file " << cuboid_file << std::endl;
+ exit(-1);
+ }
+ periodic_version = true;
+ }
- std::cout << "Information of the Simplex Tree: " << std::endl;
- std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
- std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
- std::cout << " Dimension = " << simplex_tree.dimension() << " ";
-#endif // DEBUG_TRACES
+ Gudhi::alpha_complex::complexity complexity = Gudhi::alpha_complex::complexity::FAST;
+ if (exact_version) {
+ if (safe_version) {
+ std::cerr << "You cannot set the exact and the safe version." << std::endl;
+ exit(-1);
+ }
+ complexity = Gudhi::alpha_complex::complexity::EXACT;
+ }
+ if (safe_version) {
+ complexity = Gudhi::alpha_complex::complexity::SAFE;
+ }
-#ifdef DEBUG_TRACES
- std::cout << "Iterator on vertices: " << std::endl;
- for (auto vertex : simplex_tree.complex_vertex_range()) {
- std::cout << vertex << " ";
+ Simplex_tree simplex_tree;
+
+ switch (complexity) {
+ case Gudhi::alpha_complex::complexity::FAST:
+ if (weighted_version) {
+ if (periodic_version) {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::FAST, true, true>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, weights, x_min, y_min, z_min, x_max, y_max, z_max);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ } else {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::FAST, true, false>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, weights);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ }
+ } else {
+ if (periodic_version) {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::FAST, false, true>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, x_min, y_min, z_min, x_max, y_max, z_max);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ } else {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::FAST, false, false>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ }
+ }
+ break;
+ case Gudhi::alpha_complex::complexity::EXACT:
+ if (weighted_version) {
+ if (periodic_version) {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::EXACT, true, true>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, weights, x_min, y_min, z_min, x_max, y_max, z_max);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ } else {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::EXACT, true, false>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, weights);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ }
+ } else {
+ if (periodic_version) {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::EXACT, false, true>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, x_min, y_min, z_min, x_max, y_max, z_max);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ } else {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::EXACT, false, false>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ }
+ }
+ break;
+ case Gudhi::alpha_complex::complexity::SAFE:
+ if (weighted_version) {
+ if (periodic_version) {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::SAFE, true, true>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, weights, x_min, y_min, z_min, x_max, y_max, z_max);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ } else {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::SAFE, true, false>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, weights);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ }
+ } else {
+ if (periodic_version) {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::SAFE, false, true>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points, x_min, y_min, z_min, x_max, y_max, z_max);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ } else {
+ using Alpha_complex_3d =
+ Gudhi::alpha_complex::Alpha_complex_3d<Gudhi::alpha_complex::complexity::SAFE, false, false>;
+ auto points = read_off<Alpha_complex_3d>(off_file_points);
+ Alpha_complex_3d alpha_complex(points);
+ alpha_complex.create_complex(simplex_tree, alpha_square_max_value);
+ }
+ }
+ break;
+ default:
+ std::cerr << "Unknown complexity value " << std::endl;
+ exit(-1);
+ break;
}
-#endif // DEBUG_TRACES
// Sort the simplices in the order of the filtration
simplex_tree.initialize_filtration();
@@ -227,8 +257,10 @@ int main(int argc, char **argv) {
return 0;
}
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag,
- int &coeff_field_characteristic, Filtration_value &min_persistence) {
+void program_options(int argc, char *argv[], std::string &off_file_points, bool &exact, bool &safe,
+ std::string &weight_file, std::string &cuboid_file, std::string &output_file_diag,
+ Filtration_value &alpha_square_max_value, int &coeff_field_characteristic,
+ Filtration_value &min_persistence) {
namespace po = boost::program_options;
po::options_description hidden("Hidden options");
hidden.add_options()("input-file", po::value<std::string>(&off_file_points),
@@ -236,8 +268,20 @@ void program_options(int argc, char *argv[], std::string &off_file_points, std::
po::options_description visible("Allowed options", 100);
visible.add_options()("help,h", "produce help message")(
+ "exact,e", po::bool_switch(&exact),
+ "To activate exact version of Alpha complex 3d (default is false, not available if safe is set)")(
+ "safe,s", po::bool_switch(&safe),
+ "To activate safe version of Alpha complex 3d (default is false, not available if exact is set)")(
+ "weight-file,w", po::value<std::string>(&weight_file)->default_value(std::string()),
+ "Name of file containing a point weights. Format is one weight per line:\n W1\n ...\n Wn ")(
+ "cuboid-file,c", po::value<std::string>(&cuboid_file),
+ "Name of file describing the periodic domain. Format is:\n min_hx min_hy min_hz\n max_hx max_hy max_hz")(
"output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
"Name of file in which the persistence diagram is written. Default print in std::cout")(
+ "max-alpha-square-value,r",
+ po::value<Filtration_value>(&alpha_square_max_value)
+ ->default_value(std::numeric_limits<Filtration_value>::infinity()),
+ "Maximal alpha square value for the Alpha complex construction.")(
"field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11),
"Characteristic p of the coefficient field Z/pZ for computing homology.")(
"min-persistence,m", po::value<Filtration_value>(&min_persistence),
@@ -254,17 +298,18 @@ void program_options(int argc, char *argv[], std::string &off_file_points, std::
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")) {
+ if (vm.count("help") || !vm.count("input-file") || !vm.count("weight-file")) {
std::cout << std::endl;
std::cout << "Compute the persistent homology with coefficient field Z/pZ \n";
- std::cout << "of a 3D Alpha complex defined on a set of input points.\n \n";
+ std::cout << "of a 3D Alpha complex defined on a set of input points.\n";
+ std::cout << "3D Alpha complex can be exact or safe, weighted and/or periodic\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 << "p is the characteristic of the field Z/pZ used for homology coefficients.\n\n";
- std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl;
+ std::cout << "Usage: " << argv[0] << " [options] input-file weight-file\n\n";
std::cout << visible << std::endl;
exit(-1);
}
diff --git a/src/Alpha_complex/utilities/alphacomplex.md b/src/Alpha_complex/utilities/alphacomplex.md
index b1a33e4b..98f56802 100644
--- a/src/Alpha_complex/utilities/alphacomplex.md
+++ b/src/Alpha_complex/utilities/alphacomplex.md
@@ -12,15 +12,18 @@ Leave the lines above as it is required by the web site generator 'Jekyll'
## alpha_complex_persistence ##
-This program computes the persistent homology with coefficient field Z/pZ of the dD alpha complex built from a dD point cloud.
+This program computes the persistent homology with coefficient field Z/pZ of
+the dD alpha complex built from a dD point cloud.
The output diagram contains one bar per line, written with the convention:
```
p dim birth death
```
-where `dim` is the dimension of the homological feature, `birth` and `death` are respectively the birth and death of the feature,
-and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p` must be a prime number).
+where `dim` is the dimension of the homological feature, `birth` and `death`
+are respectively the birth and death of the feature, and `p` is the
+characteristic of the field *Z/pZ* used for homology coefficients (`p` must be
+a prime number).
**Usage**
@@ -29,15 +32,20 @@ and `p` is the characteristic of the field *Z/pZ* used for homology coefficients
```
where
-`<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
+`<input OFF file>` is the path to the input point cloud in
+[nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
**Allowed options**
* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-r [ --max-alpha-square-value ]` (default = inf) Maximal alpha square value for the Alpha complex construction.
-* `-p [ --field-charac ]` (default = 11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals.
+* `-o [ --output-file ]` Name of file in which the persistence diagram is
+written. Default print in standard output.
+* `-r [ --max-alpha-square-value ]` (default = inf) Maximal alpha square value
+for the Alpha complex construction.
+* `-p [ --field-charac ]` (default = 11) Characteristic p of the
+coefficient field Z/pZ for computing homology.
+* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature
+to be recorded. Enter a negative value to see zero length intervals.
**Example**
@@ -51,13 +59,26 @@ N.B.:
## alpha_complex_3d_persistence ##
-This program computes the persistent homology with coefficient field Z/pZ of the 3D alpha complex built from a 3D point cloud. The output diagram contains one bar per line, written with the convention:
+This program computes the persistent homology with coefficient field Z/pZ of
+the 3D alpha complex built from a 3D point cloud.
+One can use exact computation. It is slower, but it is necessary when points
+are on a grid for instance.
+Alpha complex 3d can be weighted and/or periodic (refer to the
+[CGAL's 3D Periodic Triangulations User Manual](
+https://doc.cgal.org/latest/Periodic_3_triangulation_3/index.html)
+for more details).
+
+The output diagram contains
+one bar per line, written with the convention:
```
p dim birth death
```
-where `dim` is the dimension of the homological feature, `birth` and `death` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p` must be a prime number).
+where `dim` is the dimension of the homological feature, `birth` and `death`
+are respectively the birth and death of the feature, and `p` is the
+characteristic of the field *Z/pZ* used for homology coefficients (`p` must be
+a prime number).
**Usage**
@@ -65,14 +86,27 @@ where `dim` is the dimension of the homological feature, `birth` and `death` are
alpha_complex_3d_persistence [options] <input OFF file>
```
-where `<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
+where `<input OFF file>` is the path to the input point cloud in
+[nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
**Allowed options**
* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-p [ --field-charac ]` (default=11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals.
+* `-o [ --output-file ]` Name of file in which the persistence diagram is
+written. Default print in standard output.
+* `-r [ --max-alpha-square-value ]` (default = inf) Maximal alpha square value
+for the Alpha complex construction.
+* `-p [ --field-charac ]` (default=11) Characteristic p of the coefficient
+field Z/pZ for computing homology.
+* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature
+to be recorded. Enter a negative value to see zero length intervals.
+* `-c [ --cuboid-file ]` is the path to the file describing the periodic domain.
+It must be in the format described
+[here]({{ site.officialurl }}/doc/latest/fileformats.html#FileFormatsIsoCuboid).
+* `-w [ --weight-file ]` is the path to the file containing the weights of the
+points (one value per line).
+* `-e [ --exact ]` for the exact computation version (not compatible with
+weight and periodic version).
**Example**
@@ -84,82 +118,7 @@ N.B.:
* `alpha_complex_3d_persistence` only accepts OFF files in dimension 3.
* Filtration values are alpha square values.
-
-
-## exact_alpha_complex_3d_persistence ##
-
-Same as `alpha_complex_3d_persistence`, but using exact computation.
-It is slower, but it is necessary when points are on a grid for instance.
-
-
-
-## weighted_alpha_complex_3d_persistence ##
-
-Same as `alpha_complex_3d_persistence`, but using weighted points.
-
-**Usage**
-
-```
- weighted_alpha_complex_3d_persistence [options] <input OFF file> <weights input file>
-```
-
-where
-
-* `<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
-* `<input weights file>` is the path to the file containing the weights of the points (one value per line).
-
-**Allowed options**
-
-* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-p [ --field-charac ]` (default=11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals.
-
-**Example**
-
-```
- weighted_alpha_complex_3d_persistence ../../data/points/tore3D_300.off ../../data/points/tore3D_300.weights -p 2 -m 0.45
-```
-
-
-N.B.:
-
-* Weights values are explained on CGAL [Alpha shape](https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title0)
-and [Regular triangulation](https://doc.cgal.org/latest/Triangulation_3/index.html#Triangulation3secclassRegulartriangulation) documentation.
-* Filtration values are alpha square values.
-
-
-## periodic_alpha_complex_3d_persistence ##
-Same as `alpha_complex_3d_persistence`, but using periodic alpha shape 3d.
-Refer to the [CGAL's 3D Periodic Triangulations User Manual](https://doc.cgal.org/latest/Periodic_3_triangulation_3/index.html) for more details.
-
-**Usage**
-
-```
- periodic_alpha_complex_3d_persistence [options] <input OFF file> <cuboid file>
-```
-
-where
-
-* `<input OFF file>` is the path to the input point cloud in [nOFF ASCII format](http://www.geomview.org/docs/html/OFF.html).
-* `<cuboid file>` is the path to the file describing the periodic domain. It must be in the format described
-[here]({{ site.officialurl }}/doc/latest/fileformats.html#FileFormatsIsoCuboid).
-
-**Allowed options**
-
-* `-h [ --help ]` Produce help message
-* `-o [ --output-file ]` Name of file in which the persistence diagram is written. Default print in standard output.
-* `-p [ --field-charac ]` (default=11) Characteristic p of the coefficient field Z/pZ for computing homology.
-* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals
-
-
-**Example**
-
-```
-periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off ../../data/points/iso_cuboid_3_in_0_1.txt -p 3 -m 1.0
-```
-
-N.B.:
-
-* Cuboid file must be in the format described [here]({{ site.officialurl }}/doc/latest/fileformats.html#FileFormatsIsoCuboid).
-* Filtration values are alpha square values.
+* Weights values are explained on CGAL
+[Alpha shape](https://doc.cgal.org/latest/Alpha_shapes_3/index.html#title0)
+and
+[Regular triangulation](https://doc.cgal.org/latest/Triangulation_3/index.html#Triangulation3secclassRegulartriangulation) documentation.
diff --git a/src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp
deleted file mode 100644
index 61f49bb1..00000000
--- a/src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp
+++ /dev/null
@@ -1,265 +0,0 @@
-/* This file is part of the Gudhi Library. The Gudhi library
- * (Geometric Understanding in Higher Dimensions) is a generic C++
- * library for computational topology.
- *
- * Author(s): Vincent Rouvreau
- *
- * Copyright (C) 2014 Inria
- *
- * This program is free software: you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation, either version 3 of the License, or
- * (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
- */
-
-#include <boost/program_options.hpp>
-#include <boost/variant.hpp>
-
-#include <gudhi/Simplex_tree.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_3D_off_io.h>
-
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Delaunay_triangulation_3.h>
-#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/iterator.h>
-
-#include <fstream>
-#include <cmath>
-#include <string>
-#include <tuple>
-#include <map>
-#include <utility>
-#include <vector>
-#include <cstdlib>
-
-#include "alpha_complex_3d_helper.h"
-
-// Alpha_shape_3 templates type definitions
-using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-using Exact_tag = CGAL::Tag_true;
-using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel, CGAL::Default, Exact_tag>;
-using Fb = CGAL::Alpha_shape_cell_base_3<Kernel, CGAL::Default, Exact_tag>;
-using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
-using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>;
-using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3, Exact_tag>;
-
-// From file type definition
-using Point_3 = Kernel::Point_3;
-
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch =
- CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>,
- CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >,
- std::back_insert_iterator<std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-using Vertex_list = std::vector<Vertex_handle>;
-
-// gudhi type definition
-using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
-using Filtration_value = ST::Filtration_value;
-using Simplex_tree_vertex = ST::Vertex_handle;
-using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
-using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
-using Persistent_cohomology =
- Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
-
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag,
- int &coeff_field_characteristic, Filtration_value &min_persistence);
-
-int main(int argc, char **argv) {
- std::string off_file_points;
- std::string output_file_diag;
- int coeff_field_characteristic;
- Filtration_value min_persistence;
-
- program_options(argc, argv, off_file_points, output_file_diag, coeff_field_characteristic, min_persistence);
-
- // Read the OFF file (input file name given as parameter) and triangulate points
- Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points);
- // Check the read operation was correct
- if (!off_reader.is_valid()) {
- std::cerr << "Unable to read file " << off_file_points << std::endl;
- exit(-1);
- }
-
- // Retrieve the points
- std::vector<Point_3> lp = off_reader.get_point_cloud();
-
- // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode.
- Alpha_shape_3 as(lp.begin(), lp.end(), 0, Alpha_shape_3::GENERAL);
-#ifdef DEBUG_TRACES
- std::cout << "Alpha shape computed in GENERAL mode" << std::endl;
-#endif // DEBUG_TRACES
-
- // filtration with alpha values from alpha shape
- std::vector<Object> the_objects;
- std::vector<Alpha_value_type> the_alpha_values;
-
- Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects),
- std::back_inserter(the_alpha_values));
-
- as.filtration_with_alpha_values(disp);
-#ifdef DEBUG_TRACES
- std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl;
-#endif // DEBUG_TRACES
-
- Alpha_shape_3::size_type count_vertices = 0;
- Alpha_shape_3::size_type count_edges = 0;
- Alpha_shape_3::size_type count_facets = 0;
- Alpha_shape_3::size_type count_cells = 0;
-
- // Loop on objects vector
- Vertex_list vertex_list;
- ST simplex_tree;
- Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
- std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
- for (auto object_iterator : the_objects) {
- // Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
- vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
- count_cells++;
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
- vertex_list = from_facet<Vertex_list, Facet>(*facet);
- count_facets++;
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
- vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
- count_edges++;
- } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
- count_vertices++;
- vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
- }
- // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
- Simplex_tree_vector_vertex the_simplex;
- for (auto the_alpha_shape_vertex : vertex_list) {
- Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
- if (the_map_iterator == map_cgal_simplex_tree.end()) {
- // alpha shape not found
- Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex);
- } else {
- // alpha shape found
- Simplex_tree_vertex vertex = the_map_iterator->second;
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- }
- }
- // Construction of the simplex_tree
- // you can also use the_alpha_value_iterator->exact()
- Filtration_value filtr = /*std::sqrt*/ CGAL::to_double(the_alpha_value_iterator->exact());
-#ifdef DEBUG_TRACES
- std::cout << "filtration = " << filtr << std::endl;
-#endif // DEBUG_TRACES
- simplex_tree.insert_simplex(the_simplex, filtr);
- if (the_alpha_value_iterator != the_alpha_values.end())
- ++the_alpha_value_iterator;
- else
- std::cout << "This shall not happen" << std::endl;
- }
-
-#ifdef DEBUG_TRACES
- std::cout << "vertices \t\t" << count_vertices << std::endl;
- std::cout << "edges \t\t" << count_edges << std::endl;
- std::cout << "facets \t\t" << count_facets << std::endl;
- std::cout << "cells \t\t" << count_cells << std::endl;
-
- std::cout << "Information of the Simplex Tree: " << std::endl;
- std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
- std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
- std::cout << " Dimension = " << simplex_tree.dimension() << " ";
-#endif // DEBUG_TRACES
-
-#ifdef DEBUG_TRACES
- std::cout << "Iterator on vertices: " << std::endl;
- for (auto vertex : simplex_tree.complex_vertex_range()) {
- std::cout << vertex << " ";
- }
-#endif // DEBUG_TRACES
-
- // Sort the simplices in the order of the filtration
- simplex_tree.initialize_filtration();
-
- std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
- // Compute the persistence diagram of the complex
- Persistent_cohomology pcoh(simplex_tree, true);
- // initializes the coefficient field for homology
- pcoh.init_coefficients(coeff_field_characteristic);
-
- pcoh.compute_persistent_cohomology(min_persistence);
-
- // Output the diagram in filediag
- if (output_file_diag.empty()) {
- pcoh.output_diagram();
- } else {
- std::cout << "Result in file: " << output_file_diag << std::endl;
- std::ofstream out(output_file_diag);
- pcoh.output_diagram(out);
- out.close();
- }
-
- return 0;
-}
-
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &output_file_diag,
- int &coeff_field_characteristic, Filtration_value &min_persistence) {
- namespace po = boost::program_options;
- po::options_description hidden("Hidden options");
- hidden.add_options()("input-file", po::value<std::string>(&off_file_points),
- "Name of file containing a point set. Format is one point per line: X1 ... Xd ");
-
- po::options_description visible("Allowed options", 100);
- visible.add_options()("help,h", "produce help message")(
- "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
- "Name of file in which the persistence diagram is written. Default print in std::cout")(
- "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11),
- "Characteristic p of the coefficient field Z/pZ for computing homology.")(
- "min-persistence,m", po::value<Filtration_value>(&min_persistence),
- "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length "
- "intervals");
-
- po::positional_options_description pos;
- pos.add("input-file", 1);
-
- po::options_description all;
- all.add(visible).add(hidden);
-
- po::variables_map vm;
- po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm);
- po::notify(vm);
-
- if (vm.count("help") || !vm.count("input-file")) {
- std::cout << std::endl;
- std::cout << "Compute the persistent homology with coefficient field Z/pZ \n";
- std::cout << "of a 3D Alpha complex defined on a set of input points.\n \n";
- std::cout << "The output diagram contains one bar per line, written with the convention: \n";
- std::cout << " p dim b d \n";
- std::cout << "where dim is the dimension of the homological feature,\n";
- std::cout << "b and d are respectively the birth and death of the feature and \n";
- std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl;
-
- std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl;
- std::cout << visible << std::endl;
- exit(-1);
- }
-}
diff --git a/src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp
deleted file mode 100644
index a261c5a3..00000000
--- a/src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp
+++ /dev/null
@@ -1,302 +0,0 @@
-/* This file is part of the Gudhi Library. The Gudhi library
- * (Geometric Understanding in Higher Dimensions) is a generic C++
- * library for computational topology.
- *
- * Author(s): Vincent Rouvreau
- * Pawel Dlotko - 2017 - Swansea University, UK
- *
- * Copyright (C) 2014 Inria
- *
- * This program is free software: you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation, either version 3 of the License, or
- * (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
- */
-
-#include <boost/program_options.hpp>
-#include <boost/variant.hpp>
-
-#include <gudhi/Simplex_tree.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_3D_off_io.h>
-
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Periodic_3_Delaunay_triangulation_traits_3.h>
-#include <CGAL/Periodic_3_Delaunay_triangulation_3.h>
-#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/iterator.h>
-
-#include <fstream>
-#include <cmath>
-#include <string>
-#include <tuple>
-#include <map>
-#include <utility>
-#include <vector>
-#include <cstdlib>
-
-#include "alpha_complex_3d_helper.h"
-
-// Traits
-using K = CGAL::Exact_predicates_inexact_constructions_kernel;
-using PK = CGAL::Periodic_3_Delaunay_triangulation_traits_3<K>;
-// Vertex type
-using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>;
-using Vb = CGAL::Triangulation_vertex_base_3<PK, DsVb>;
-using AsVb = CGAL::Alpha_shape_vertex_base_3<PK, Vb>;
-// Cell type
-using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>;
-using Cb = CGAL::Triangulation_cell_base_3<PK, DsCb>;
-using AsCb = CGAL::Alpha_shape_cell_base_3<PK, Cb>;
-using Tds = CGAL::Triangulation_data_structure_3<AsVb, AsCb>;
-using P3DT3 = CGAL::Periodic_3_Delaunay_triangulation_3<PK, Tds>;
-using Alpha_shape_3 = CGAL::Alpha_shape_3<P3DT3>;
-using Point_3 = PK::Point_3;
-
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch =
- CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>,
- CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >,
- std::back_insert_iterator<std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>;
-
-// gudhi type definition
-using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
-using Filtration_value = ST::Filtration_value;
-using Simplex_tree_vertex = ST::Vertex_handle;
-using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
-using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
-using Persistent_cohomology =
- Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
-
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &cuboid_file,
- std::string &output_file_diag, int &coeff_field_characteristic, Filtration_value &min_persistence);
-
-int main(int argc, char **argv) {
- std::string off_file_points;
- std::string cuboid_file;
- std::string output_file_diag;
- int coeff_field_characteristic;
- Filtration_value min_persistence;
-
- program_options(argc, argv, off_file_points, cuboid_file, output_file_diag, coeff_field_characteristic,
- min_persistence);
-
- // Read the OFF file (input file name given as parameter) and triangulate points
- Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points);
- // Check the read operation was correct
- if (!off_reader.is_valid()) {
- std::cerr << "Unable to read OFF file " << off_file_points << std::endl;
- exit(-1);
- }
-
- // Read iso_cuboid_3 information from file
- std::ifstream iso_cuboid_str(cuboid_file);
- double x_min, y_min, z_min, x_max, y_max, z_max;
- if (iso_cuboid_str.good()) {
- iso_cuboid_str >> x_min >> y_min >> z_min >> x_max >> y_max >> z_max;
- } else {
- std::cerr << "Unable to read file " << cuboid_file << std::endl;
- exit(-1);
- }
- // Checking if the cuboid is the same in x,y and z direction. If not, CGAL will not process it.
- if ((x_max - x_min != y_max - y_min) || (x_max - x_min != z_max - z_min) || (z_max - z_min != y_max - y_min)) {
- std::cerr << "The size of the cuboid in every directions is not the same." << std::endl;
- exit(-1);
- }
-
- // Retrieve the points
- std::vector<Point_3> lp = off_reader.get_point_cloud();
-
- // Define the periodic cube
- P3DT3 pdt(PK::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max));
- // Heuristic for inserting large point sets (if pts is reasonably large)
- pdt.insert(lp.begin(), lp.end(), true);
- // As pdt won't be modified anymore switch to 1-sheeted cover if possible
- if (pdt.is_triangulation_in_1_sheet()) {
- pdt.convert_to_1_sheeted_covering();
- } else {
- std::cerr << "ERROR: we were not able to construct a triangulation within a single periodic domain." << std::endl;
- exit(-1);
- }
- std::cout << "Periodic Delaunay computed." << std::endl;
-
- // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. This is the default mode
- // Maybe need to set it to GENERAL mode
- Alpha_shape_3 as(pdt, 0, Alpha_shape_3::GENERAL);
-
- // filtration with alpha values from alpha shape
- std::vector<Object> the_objects;
- std::vector<Alpha_value_type> the_alpha_values;
-
- Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects),
- std::back_inserter(the_alpha_values));
-
- as.filtration_with_alpha_values(disp);
-#ifdef DEBUG_TRACES
- std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl;
-#endif // DEBUG_TRACES
-
- Alpha_shape_3::size_type count_vertices = 0;
- Alpha_shape_3::size_type count_edges = 0;
- Alpha_shape_3::size_type count_facets = 0;
- Alpha_shape_3::size_type count_cells = 0;
-
- // Loop on objects vector
- Vertex_list vertex_list;
- ST simplex_tree;
- Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
- std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
- for (auto object_iterator : the_objects) {
- // Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
- vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
- count_cells++;
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
- vertex_list = from_facet<Vertex_list, Facet>(*facet);
- count_facets++;
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
- vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
- count_edges++;
- } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
- count_vertices++;
- vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
- }
- // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
- Simplex_tree_vector_vertex the_simplex;
- for (auto the_alpha_shape_vertex : vertex_list) {
- Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
- if (the_map_iterator == map_cgal_simplex_tree.end()) {
- // alpha shape not found
- Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex);
- } else {
- // alpha shape found
- Simplex_tree_vertex vertex = the_map_iterator->second;
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- }
- }
- // Construction of the simplex_tree
- Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator);
-#ifdef DEBUG_TRACES
- std::cout << "filtration = " << filtr << std::endl;
-#endif // DEBUG_TRACES
- simplex_tree.insert_simplex(the_simplex, filtr);
- if (the_alpha_value_iterator != the_alpha_values.end())
- ++the_alpha_value_iterator;
- else
- std::cout << "This shall not happen" << std::endl;
- }
-
-#ifdef DEBUG_TRACES
- std::cout << "vertices \t\t" << count_vertices << std::endl;
- std::cout << "edges \t\t" << count_edges << std::endl;
- std::cout << "facets \t\t" << count_facets << std::endl;
- std::cout << "cells \t\t" << count_cells << std::endl;
-
- std::cout << "Information of the Simplex Tree: " << std::endl;
- std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
- std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
- std::cout << " Dimension = " << simplex_tree.dimension() << " ";
-#endif // DEBUG_TRACES
-
-#ifdef DEBUG_TRACES
- std::cout << "Iterator on vertices: " << std::endl;
- for (auto vertex : simplex_tree.complex_vertex_range()) {
- std::cout << vertex << " ";
- }
-#endif // DEBUG_TRACES
-
- // Sort the simplices in the order of the filtration
- simplex_tree.initialize_filtration();
-
- std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
- // Compute the persistence diagram of the complex
- Persistent_cohomology pcoh(simplex_tree, true);
- // initializes the coefficient field for homology
- pcoh.init_coefficients(coeff_field_characteristic);
-
- pcoh.compute_persistent_cohomology(min_persistence);
-
- // Output the diagram in filediag
- if (output_file_diag.empty()) {
- pcoh.output_diagram();
- } else {
- std::cout << "Result in file: " << output_file_diag << std::endl;
- std::ofstream out(output_file_diag);
- pcoh.output_diagram(out);
- out.close();
- }
-
- return 0;
-}
-
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &cuboid_file,
- std::string &output_file_diag, int &coeff_field_characteristic,
- Filtration_value &min_persistence) {
- namespace po = boost::program_options;
- po::options_description hidden("Hidden options");
- hidden.add_options()("input-file", po::value<std::string>(&off_file_points),
- "Name of file containing a point set. Format is one point per line: X1 ... Xd ")(
- "cuboid-file", po::value<std::string>(&cuboid_file),
- "Name of file describing the periodic domain. Format is: min_hx min_hy min_hz\nmax_hx max_hy max_hz");
-
- po::options_description visible("Allowed options", 100);
- visible.add_options()("help,h", "produce help message")(
- "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
- "Name of file in which the persistence diagram is written. Default print in std::cout")(
- "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11),
- "Characteristic p of the coefficient field Z/pZ for computing homology.")(
- "min-persistence,m", po::value<Filtration_value>(&min_persistence),
- "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length "
- "intervals");
-
- po::positional_options_description pos;
- pos.add("input-file", 1);
- pos.add("cuboid-file", 2);
-
- po::options_description all;
- all.add(visible).add(hidden);
-
- po::variables_map vm;
- po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm);
- po::notify(vm);
-
- if (vm.count("help") || !vm.count("input-file") || !vm.count("cuboid-file")) {
- std::cout << std::endl;
- std::cout << "Compute the persistent homology with coefficient field Z/pZ \n";
- std::cout << "of a periodic 3D Alpha complex defined on a set of input points.\n \n";
- std::cout << "The output diagram contains one bar per line, written with the convention: \n";
- std::cout << " p dim b d \n";
- std::cout << "where dim is the dimension of the homological feature,\n";
- std::cout << "b and d are respectively the birth and death of the feature and \n";
- std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl;
-
- std::cout << "Usage: " << argv[0] << " [options] input-file cuboid-file" << std::endl << std::endl;
- std::cout << visible << std::endl;
- exit(-1);
- }
-}
diff --git a/src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp
deleted file mode 100644
index aa7ddee2..00000000
--- a/src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp
+++ /dev/null
@@ -1,316 +0,0 @@
-/* This file is part of the Gudhi Library. The Gudhi library
- * (Geometric Understanding in Higher Dimensions) is a generic C++
- * library for computational topology.
- *
- * Author(s): Vincent Rouvreau
- *
- * Copyright (C) 2014 Inria
- *
- * This program is free software: you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation, either version 3 of the License, or
- * (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
- */
-
-#include <boost/program_options.hpp>
-#include <boost/variant.hpp>
-
-#include <gudhi/Simplex_tree.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_3D_off_io.h>
-
-#include <CGAL/config.h>
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Regular_triangulation_3.h>
-#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/iterator.h>
-
-// For CGAL < 4.11
-#if CGAL_VERSION_NR < 1041100000
-#include <CGAL/Regular_triangulation_euclidean_traits_3.h>
-#endif // CGAL_VERSION_NR < 1041100000
-
-#include <fstream>
-#include <cmath>
-#include <string>
-#include <tuple>
-#include <map>
-#include <utility>
-#include <vector>
-#include <cstdlib>
-
-#include "alpha_complex_3d_helper.h"
-
-// Alpha_shape_3 templates type definitions
-using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-
-// For CGAL < 4.11
-#if CGAL_VERSION_NR < 1041100000
-using Gt = CGAL::Regular_triangulation_euclidean_traits_3<Kernel>;
-using Vb = CGAL::Alpha_shape_vertex_base_3<Gt>;
-using Fb = CGAL::Alpha_shape_cell_base_3<Gt>;
-using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
-using Triangulation_3 = CGAL::Regular_triangulation_3<Gt, Tds>;
-
-// From file type definition
-using Point_3 = Gt::Bare_point;
-using Weighted_point_3 = Gt::Weighted_point;
-
-// For CGAL >= 4.11
-#else // CGAL_VERSION_NR < 1041100000
-using Rvb = CGAL::Regular_triangulation_vertex_base_3<Kernel>;
-using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel, Rvb>;
-using Rcb = CGAL::Regular_triangulation_cell_base_3<Kernel>;
-using Cb = CGAL::Alpha_shape_cell_base_3<Kernel, Rcb>;
-using Tds = CGAL::Triangulation_data_structure_3<Vb, Cb>;
-using Triangulation_3 = CGAL::Regular_triangulation_3<Kernel, Tds>;
-
-// From file type definition
-using Point_3 = Triangulation_3::Bare_point;
-using Weighted_point_3 = Triangulation_3::Weighted_point;
-#endif // CGAL_VERSION_NR < 1041100000
-
-using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>;
-
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch =
- CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>,
- CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >,
- std::back_insert_iterator<std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>;
-
-// gudhi type definition
-using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
-using Filtration_value = ST::Filtration_value;
-using Simplex_tree_vertex = ST::Vertex_handle;
-using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
-using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
-using Persistent_cohomology =
- Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
-
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &weight_file,
- std::string &output_file_diag, int &coeff_field_characteristic, Filtration_value &min_persistence);
-
-int main(int argc, char **argv) {
- std::string off_file_points;
- std::string weight_file;
- std::string output_file_diag;
- int coeff_field_characteristic;
- Filtration_value min_persistence;
-
- program_options(argc, argv, off_file_points, weight_file, output_file_diag, coeff_field_characteristic,
- min_persistence);
-
- // Read the OFF file (input file name given as parameter) and triangulate points
- Gudhi::Points_3D_off_reader<Point_3> off_reader(off_file_points);
- // Check the read operation was correct
- if (!off_reader.is_valid()) {
- std::cerr << "Unable to read OFF file " << off_file_points << std::endl;
- exit(-1);
- }
-
- // Retrieve the points
- std::vector<Point_3> lp = off_reader.get_point_cloud();
-
- // Read weights information from file
- std::ifstream weights_ifstr(weight_file);
- std::vector<Weighted_point_3> wp;
- if (weights_ifstr.good()) {
- double weight = 0.0;
- std::size_t index = 0;
- wp.reserve(lp.size());
- // Attempt read the weight in a double format, return false if it fails
- while ((weights_ifstr >> weight) && (index < lp.size())) {
- wp.push_back(Weighted_point_3(lp[index], weight));
- index++;
- }
- if (index != lp.size()) {
- std::cerr << "Bad number of weights in file " << weight_file << std::endl;
- exit(-1);
- }
- } else {
- std::cerr << "Unable to read weights file " << weight_file << std::endl;
- exit(-1);
- }
-
- // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode.
- Alpha_shape_3 as(wp.begin(), wp.end(), 0, Alpha_shape_3::GENERAL);
-#ifdef DEBUG_TRACES
- std::cout << "Alpha shape computed in GENERAL mode" << std::endl;
-#endif // DEBUG_TRACES
-
- // filtration with alpha values from alpha shape
- std::vector<Object> the_objects;
- std::vector<Alpha_value_type> the_alpha_values;
-
- Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects),
- std::back_inserter(the_alpha_values));
-
- as.filtration_with_alpha_values(disp);
-#ifdef DEBUG_TRACES
- std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl;
-#endif // DEBUG_TRACES
-
- Alpha_shape_3::size_type count_vertices = 0;
- Alpha_shape_3::size_type count_edges = 0;
- Alpha_shape_3::size_type count_facets = 0;
- Alpha_shape_3::size_type count_cells = 0;
-
- // Loop on objects vector
- Vertex_list vertex_list;
- ST simplex_tree;
- Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
- std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
- for (auto object_iterator : the_objects) {
- // Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
- vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
- count_cells++;
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
- vertex_list = from_facet<Vertex_list, Facet>(*facet);
- count_facets++;
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
- vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
- count_edges++;
- } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
- count_vertices++;
- vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
- }
- // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
- Simplex_tree_vector_vertex the_simplex;
- for (auto the_alpha_shape_vertex : vertex_list) {
- Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
- if (the_map_iterator == map_cgal_simplex_tree.end()) {
- // alpha shape not found
- Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex);
- } else {
- // alpha shape found
- Simplex_tree_vertex vertex = the_map_iterator->second;
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- }
- }
- // Construction of the simplex_tree
- Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator);
-#ifdef DEBUG_TRACES
- std::cout << "filtration = " << filtr << std::endl;
-#endif // DEBUG_TRACES
- simplex_tree.insert_simplex(the_simplex, filtr);
- if (the_alpha_value_iterator != the_alpha_values.end())
- ++the_alpha_value_iterator;
- else
- std::cout << "This shall not happen" << std::endl;
- }
-
-#ifdef DEBUG_TRACES
- std::cout << "vertices \t\t" << count_vertices << std::endl;
- std::cout << "edges \t\t" << count_edges << std::endl;
- std::cout << "facets \t\t" << count_facets << std::endl;
- std::cout << "cells \t\t" << count_cells << std::endl;
-
- std::cout << "Information of the Simplex Tree: " << std::endl;
- std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
- std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
- std::cout << " Dimension = " << simplex_tree.dimension() << " ";
-#endif // DEBUG_TRACES
-
-#ifdef DEBUG_TRACES
- std::cout << "Iterator on vertices: " << std::endl;
- for (auto vertex : simplex_tree.complex_vertex_range()) {
- std::cout << vertex << " ";
- }
-#endif // DEBUG_TRACES
-
- // Sort the simplices in the order of the filtration
- simplex_tree.initialize_filtration();
-
- std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
- // Compute the persistence diagram of the complex
- Persistent_cohomology pcoh(simplex_tree, true);
- // initializes the coefficient field for homology
- pcoh.init_coefficients(coeff_field_characteristic);
-
- pcoh.compute_persistent_cohomology(min_persistence);
-
- // Output the diagram in filediag
- if (output_file_diag.empty()) {
- pcoh.output_diagram();
- } else {
- std::cout << "Result in file: " << output_file_diag << std::endl;
- std::ofstream out(output_file_diag);
- pcoh.output_diagram(out);
- out.close();
- }
-
- return 0;
-}
-
-void program_options(int argc, char *argv[], std::string &off_file_points, std::string &weight_file,
- std::string &output_file_diag, int &coeff_field_characteristic,
- Filtration_value &min_persistence) {
- namespace po = boost::program_options;
- po::options_description hidden("Hidden options");
- hidden.add_options()("input-file", po::value<std::string>(&off_file_points),
- "Name of file containing a point set. Format is one point per line: X1 ... Xd ")(
- "weight-file", po::value<std::string>(&weight_file),
- "Name of file containing a point weights. Format is one weigt per line: W1\n...\nWn ");
-
- po::options_description visible("Allowed options", 100);
- visible.add_options()("help,h", "produce help message")(
- "output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
- "Name of file in which the persistence diagram is written. Default print in std::cout")(
- "field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11),
- "Characteristic p of the coefficient field Z/pZ for computing homology.")(
- "min-persistence,m", po::value<Filtration_value>(&min_persistence),
- "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length "
- "intervals");
-
- po::positional_options_description pos;
- pos.add("input-file", 1);
- pos.add("weight-file", 2);
-
- po::options_description all;
- all.add(visible).add(hidden);
-
- po::variables_map vm;
- po::store(po::command_line_parser(argc, argv).options(all).positional(pos).run(), vm);
- po::notify(vm);
-
- if (vm.count("help") || !vm.count("input-file") || !vm.count("weight-file")) {
- std::cout << std::endl;
- std::cout << "Compute the persistent homology with coefficient field Z/pZ \n";
- std::cout << "of a weighted 3D Alpha complex defined on a set of input points.\n \n";
- std::cout << "The output diagram contains one bar per line, written with the convention: \n";
- std::cout << " p dim b d \n";
- std::cout << "where dim is the dimension of the homological feature,\n";
- std::cout << "b and d are respectively the birth and death of the feature and \n";
- std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl;
-
- std::cout << "Usage: " << argv[0] << " [options] input-file weight-file" << std::endl << std::endl;
- std::cout << visible << std::endl;
- exit(-1);
- }
-}
diff --git a/src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp
deleted file mode 100644
index d030c88c..00000000
--- a/src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp
+++ /dev/null
@@ -1,288 +0,0 @@
-/* This file is part of the Gudhi Library. The Gudhi library
- * (Geometric Understanding in Higher Dimensions) is a generic C++
- * library for computational topology.
- *
- * Author(s): Vincent Rouvreau
- * Pawel Dlotko - 2017 - Swansea University, UK
- *
- * Copyright (C) 2014 Inria
- *
- * This program is free software: you can redistribute it and/or modify
- * it under the terms of the GNU General Public License as published by
- * the Free Software Foundation, either version 3 of the License, or
- * (at your option) any later version.
- *
- * This program is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with this program. If not, see <http://www.gnu.org/licenses/>.
- */
-
-#include <boost/variant.hpp>
-
-#include <gudhi/Simplex_tree.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_3D_off_io.h>
-
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Periodic_3_regular_triangulation_traits_3.h>
-#include <CGAL/Periodic_3_regular_triangulation_3.h>
-#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/iterator.h>
-
-#include <fstream>
-#include <cmath>
-#include <string>
-#include <tuple>
-#include <map>
-#include <utility>
-#include <vector>
-#include <cstdlib>
-
-#include "alpha_complex_3d_helper.h"
-
-// Traits
-using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-using PK = CGAL::Periodic_3_regular_triangulation_traits_3<Kernel>;
-
-// Vertex type
-using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>;
-using Vb = CGAL::Regular_triangulation_vertex_base_3<PK, DsVb>;
-using AsVb = CGAL::Alpha_shape_vertex_base_3<PK, Vb>;
-// Cell type
-using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>;
-using Cb = CGAL::Regular_triangulation_cell_base_3<PK, DsCb>;
-using AsCb = CGAL::Alpha_shape_cell_base_3<PK, Cb>;
-using Tds = CGAL::Triangulation_data_structure_3<AsVb, AsCb>;
-using P3RT3 = CGAL::Periodic_3_regular_triangulation_3<PK, Tds>;
-using Alpha_shape_3 = CGAL::Alpha_shape_3<P3RT3>;
-
-using Point_3 = P3RT3::Bare_point;
-using Weighted_point_3 = P3RT3::Weighted_point;
-
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch =
- CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>,
- CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >,
- std::back_insert_iterator<std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-using Vertex_list = std::vector<Alpha_shape_3::Vertex_handle>;
-
-// gudhi type definition
-using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
-using Filtration_value = ST::Filtration_value;
-using Simplex_tree_vertex = ST::Vertex_handle;
-using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
-using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
-using Persistent_cohomology =
- Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
-
-void usage(const std::string& progName) {
- std::cerr << "Usage: " << progName << " path_to_the_OFF_file path_to_weight_file path_to_the_cuboid_file "
- "coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n";
- exit(-1);
-}
-
-int main(int argc, char* const argv[]) {
- // program args management
- if (argc != 6) {
- std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
- usage(argv[0]);
- }
-
- int coeff_field_characteristic = atoi(argv[4]);
- Filtration_value min_persistence = strtof(argv[5], nullptr);
-
- // Read points from file
- std::string offInputFile(argv[1]);
- // Read the OFF file (input file name given as parameter) and triangulate points
- Gudhi::Points_3D_off_reader<Point_3> off_reader(offInputFile);
- // Check the read operation was correct
- if (!off_reader.is_valid()) {
- std::cerr << "Unable to read file " << offInputFile << std::endl;
- usage(argv[0]);
- }
-
- // Retrieve the points
- std::vector<Point_3> lp = off_reader.get_point_cloud();
-
- // Read iso_cuboid_3 information from file
- std::ifstream iso_cuboid_str(argv[3]);
- double x_min, y_min, z_min, x_max, y_max, z_max;
- if (iso_cuboid_str.is_open()) {
- if (!(iso_cuboid_str >> x_min >> y_min >> z_min >> x_max >> y_max >> z_max)) {
- std::cerr << argv[3] << " - Bad file format." << std::endl;
- usage(argv[0]);
- }
-
- } else {
- std::cerr << "Unable to read file " << argv[3] << std::endl;
- usage(argv[0]);
- }
- // Checking if the cuboid is the same in x,y and z direction. If not, CGAL will not process it.
- if ((x_max - x_min != y_max - y_min) || (x_max - x_min != z_max - z_min) || (z_max - z_min != y_max - y_min)) {
- std::cerr << "The size of the cuboid in every directions is not the same." << std::endl;
- exit(-1);
- }
-
- double maximal_possible_weight = 0.015625 * (x_max - x_min) * (x_max - x_min);
-
- // Read weights information from file
- std::ifstream weights_ifstr(argv[2]);
- std::vector<Weighted_point_3> wp;
- if (weights_ifstr.is_open()) {
- double weight = 0.0;
- std::size_t index = 0;
- wp.reserve(lp.size());
- // Attempt read the weight in a double format, return false if it fails
- while ((weights_ifstr >> weight) && (index < lp.size())) {
- if ((weight >= maximal_possible_weight) || (weight < 0)) {
- std::cerr << "At line " << (index + 1) << ", the weight (" << weight
- << ") is negative or more than or equal to maximal possible weight (" << maximal_possible_weight
- << ") = 1/64*cuboid length squared, which is not an acceptable input." << std::endl;
- exit(-1);
- }
-
- wp.push_back(Weighted_point_3(lp[index], weight));
- index++;
- }
- if (index != lp.size()) {
- std::cerr << "Bad number of weights in file " << argv[2] << std::endl;
- usage(argv[0]);
- }
- } else {
- std::cerr << "Unable to read file " << argv[2] << std::endl;
- usage(argv[0]);
- }
-
- // Define the periodic cube
- P3RT3 prt(PK::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max));
- // Heuristic for inserting large point sets (if pts is reasonably large)
- prt.insert(wp.begin(), wp.end(), true);
- // As prt won't be modified anymore switch to 1-sheeted cover if possible
- if (prt.is_triangulation_in_1_sheet()) {
- prt.convert_to_1_sheeted_covering();
- } else {
- std::cerr << "ERROR: we were not able to construct a triangulation within a single periodic domain." << std::endl;
- exit(-1);
- }
- std::cout << "Weighted Periodic Delaunay computed." << std::endl;
-
- // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. This is the default mode
- // Maybe need to set it to GENERAL mode
- Alpha_shape_3 as(prt, 0, Alpha_shape_3::GENERAL);
-
- // filtration with alpha values from alpha shape
- std::vector<Object> the_objects;
- std::vector<Alpha_value_type> the_alpha_values;
-
- Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects),
- std::back_inserter(the_alpha_values));
-
- as.filtration_with_alpha_values(disp);
-#ifdef DEBUG_TRACES
- std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl;
-#endif // DEBUG_TRACES
-
- Alpha_shape_3::size_type count_vertices = 0;
- Alpha_shape_3::size_type count_edges = 0;
- Alpha_shape_3::size_type count_facets = 0;
- Alpha_shape_3::size_type count_cells = 0;
-
- // Loop on objects vector
- Vertex_list vertex_list;
- ST simplex_tree;
- Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
- std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
- for (auto object_iterator : the_objects) {
- // Retrieve Alpha shape vertex list from object
- if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
- vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
- count_cells++;
- } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) {
- vertex_list = from_facet<Vertex_list, Facet>(*facet);
- count_facets++;
- } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
- vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
- count_edges++;
- } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
- count_vertices++;
- vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
- }
- // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
- Simplex_tree_vector_vertex the_simplex;
- for (auto the_alpha_shape_vertex : vertex_list) {
- Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
- if (the_map_iterator == map_cgal_simplex_tree.end()) {
- // alpha shape not found
- Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- map_cgal_simplex_tree.emplace(the_alpha_shape_vertex, vertex);
- } else {
- // alpha shape found
- Simplex_tree_vertex vertex = the_map_iterator->second;
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex.push_back(vertex);
- }
- }
- // Construction of the simplex_tree
- Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator);
-#ifdef DEBUG_TRACES
- std::cout << "filtration = " << filtr << std::endl;
-#endif // DEBUG_TRACES
- simplex_tree.insert_simplex(the_simplex, filtr);
- if (the_alpha_value_iterator != the_alpha_values.end())
- ++the_alpha_value_iterator;
- else
- std::cout << "This shall not happen" << std::endl;
- }
-
-#ifdef DEBUG_TRACES
- std::cout << "vertices \t\t" << count_vertices << std::endl;
- std::cout << "edges \t\t" << count_edges << std::endl;
- std::cout << "facets \t\t" << count_facets << std::endl;
- std::cout << "cells \t\t" << count_cells << std::endl;
-
- std::cout << "Information of the Simplex Tree: " << std::endl;
- std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
- std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
- std::cout << " Dimension = " << simplex_tree.dimension() << " ";
-#endif // DEBUG_TRACES
-
-#ifdef DEBUG_TRACES
- std::cout << "Iterator on vertices: " << std::endl;
- for (auto vertex : simplex_tree.complex_vertex_range()) {
- std::cout << vertex << " ";
- }
-#endif // DEBUG_TRACES
-
- // Sort the simplices in the order of the filtration
- simplex_tree.initialize_filtration();
-
- std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
- // Compute the persistence diagram of the complex
- Persistent_cohomology pcoh(simplex_tree, true);
- // initializes the coefficient field for homology
- pcoh.init_coefficients(coeff_field_characteristic);
-
- pcoh.compute_persistent_cohomology(min_persistence);
-
- pcoh.output_diagram();
-
- return 0;
-}