/* 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 .
*/
#include
#include
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#include
// Alpha_shape_3 templates type definitions
typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
typedef CGAL::Alpha_shape_vertex_base_3 Vb;
typedef CGAL::Alpha_shape_cell_base_3 Fb;
typedef CGAL::Triangulation_data_structure_3 Tds;
typedef CGAL::Delaunay_triangulation_3 Triangulation_3;
typedef CGAL::Alpha_shape_3 Alpha_shape_3;
// From file type definition
typedef Kernel::Point_3 Point_3;
// filtration with alpha values needed type definition
typedef Alpha_shape_3::FT Alpha_value_type;
typedef CGAL::Object Object;
typedef CGAL::Dispatch_output_iterator<
CGAL::cpp11::tuple,
CGAL::cpp11::tuple >,
std::back_insert_iterator< std::vector > > > 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 Vertex_list;
// gudhi type definition
typedef Gudhi::Simplex_tree ST;
typedef ST::Vertex_handle Simplex_tree_vertex;
typedef std::map Alpha_shape_simplex_tree_map;
typedef std::pair Alpha_shape_simplex_tree_pair;
typedef std::vector< Simplex_tree_vertex > Simplex_tree_vector_vertex;
typedef Gudhi::persistent_cohomology::Persistent_cohomology< ST, Gudhi::persistent_cohomology::Field_Zp > PCOH;
Vertex_list from(const Cell_handle& ch) {
Vertex_list the_list;
for (auto i = 0; i < 4; i++) {
#ifdef DEBUG_TRACES
std::cout << "from cell[" << i << "]=" << ch->vertex(i)->point() << std::endl;
#endif // DEBUG_TRACES
the_list.push_back(ch->vertex(i));
}
return the_list;
}
Vertex_list from(const Facet& fct) {
Vertex_list the_list;
for (auto i = 0; i < 4; i++) {
if (fct.second != i) {
#ifdef DEBUG_TRACES
std::cout << "from facet=[" << i << "]" << fct.first->vertex(i)->point() << std::endl;
#endif // DEBUG_TRACES
the_list.push_back(fct.first->vertex(i));
}
}
return the_list;
}
Vertex_list from(const Edge_3& edg) {
Vertex_list the_list;
for (auto i = 0; i < 4; i++) {
if ((edg.second == i) || (edg.third == i)) {
#ifdef DEBUG_TRACES
std::cout << "from edge[" << i << "]=" << edg.first->vertex(i)->point() << std::endl;
#endif // DEBUG_TRACES
the_list.push_back(edg.first->vertex(i));
}
}
return the_list;
}
Vertex_list from(const Alpha_shape_3::Vertex_handle& vh) {
Vertex_list the_list;
#ifdef DEBUG_TRACES
std::cout << "from vertex=" << vh->point() << std::endl;
#endif // DEBUG_TRACES
the_list.push_back(vh);
return the_list;
}
void usage(char * const progName) {
std::cerr << "Usage: " << progName <<
" path_to_file_graph coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n";
exit(-1);
}
int main(int argc, char * const argv[]) {
// program args management
if (argc != 4) {
std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
usage(argv[0]);
}
int coeff_field_characteristic = atoi(argv[2]);
Filtration_value min_persistence = 0.0;
int returnedScanValue = sscanf(argv[3], "%lf", &min_persistence);
if ((returnedScanValue == EOF) || (min_persistence < -1.0)) {
std::cerr << "Error: " << argv[3] << " is not correct\n";
usage(argv[0]);
}
// Read points from file
std::string offInputFile(argv[1]);
// Read the OFF file (input file name given as parameter) and triangulate points
Gudhi::Points_3D_off_reader 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 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 the_objects;
std::vector the_alpha_values;
Dispatch disp = CGAL::dispatch_output(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::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(&object_iterator)) {
vertex_list = from(*cell);
count_cells++;
if (dim_max < 3) {
// Cell is of dim 3
dim_max = 3;
}
} else if (const Facet * facet = CGAL::object_cast(&object_iterator)) {
vertex_list = from(*facet);
count_facets++;
if (dim_max < 2) {
// Facet is of dim 2
dim_max = 2;
}
} else if (const Edge_3 * edge = CGAL::object_cast(&object_iterator)) {
vertex_list = from(*edge);
count_edges++;
if (dim_max < 1) {
// Edge_3 is of dim 1
dim_max = 1;
}
} else if (const Alpha_shape_3::Vertex_handle * vertex =
CGAL::object_cast(&object_iterator)) {
count_vertices++;
vertex_list = from(*vertex);
}
// Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
Simplex_tree_vector_vertex the_simplex_tree;
for (auto the_alpha_shape_vertex : vertex_list) {
Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
if (the_map_iterator == map_cgal_simplex_tree.end()) {
// alpha shape not found
Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
#ifdef DEBUG_TRACES
std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
#endif // DEBUG_TRACES
the_simplex_tree.push_back(vertex);
map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(the_alpha_shape_vertex, vertex));
} else {
// alpha shape found
Simplex_tree_vertex vertex = the_map_iterator->second;
#ifdef DEBUG_TRACES
std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
#endif // DEBUG_TRACES
the_simplex_tree.push_back(vertex);
}
}
// Construction of the simplex_tree
Filtration_value filtr = /*std::sqrt*/(*the_alpha_value_iterator);
#ifdef DEBUG_TRACES
std::cout << "filtration = " << filtr << std::endl;
#endif // DEBUG_TRACES
if (filtr > filtration_max) {
filtration_max = filtr;
}
simplex_tree.insert_simplex(the_simplex_tree, filtr);
if (the_alpha_value_iterator != the_alpha_values.end())
++the_alpha_value_iterator;
else
std::cout << "This shall not happen" << std::endl;
}
simplex_tree.set_filtration(filtration_max);
simplex_tree.set_dimension(dim_max);
#ifdef DEBUG_TRACES
std::cout << "vertices \t\t" << count_vertices << std::endl;
std::cout << "edges \t\t" << count_edges << std::endl;
std::cout << "facets \t\t" << count_facets << std::endl;
std::cout << "cells \t\t" << count_cells << std::endl;
std::cout << "Information of the Simplex Tree: " << std::endl;
std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
std::cout << " Dimension = " << simplex_tree.dimension() << " ";
std::cout << " filtration = " << simplex_tree.filtration() << std::endl << std::endl;
#endif // DEBUG_TRACES
#ifdef DEBUG_TRACES
std::cout << "Iterator on vertices: " << std::endl;
for (auto vertex : simplex_tree.complex_vertex_range()) {
std::cout << vertex << " ";
}
#endif // DEBUG_TRACES
// Sort the simplices in the order of the filtration
simplex_tree.initialize_filtration();
std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
// Compute the persistence diagram of the complex
PCOH pcoh(simplex_tree);
// initializes the coefficient field for homology
pcoh.init_coefficients(coeff_field_characteristic);
pcoh.compute_persistent_cohomology(min_persistence);
pcoh.output_diagram();
return 0;
}