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-rw-r--r--src/Alpha_complex/utilities/CMakeLists.txt16
-rw-r--r--src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp19
-rw-r--r--src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp31
-rw-r--r--src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp22
-rw-r--r--src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp51
-rw-r--r--src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp281
6 files changed, 377 insertions, 43 deletions
diff --git a/src/Alpha_complex/utilities/CMakeLists.txt b/src/Alpha_complex/utilities/CMakeLists.txt
index cefc1ad6..79d9e7dd 100644
--- a/src/Alpha_complex/utilities/CMakeLists.txt
+++ b/src/Alpha_complex/utilities/CMakeLists.txt
@@ -46,4 +46,20 @@ if(CGAL_FOUND)
install(TARGETS periodic_alpha_complex_3d_persistence DESTINATION bin)
endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0)
+
+ if (NOT CGAL_VERSION VERSION_LESS 4.11.0)
+ add_executable(weighted_periodic_alpha_complex_3d_persistence weighted_periodic_alpha_complex_3d_persistence.cpp)
+ target_link_libraries(weighted_periodic_alpha_complex_3d_persistence ${CGAL_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(weighted_periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES})
+ endif(TBB_FOUND)
+
+ add_test(NAME Persistent_cohomology_example_weigted_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_periodic_alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights"
+ "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt" "3" "1.0")
+
+ install(TARGETS weighted_periodic_alpha_complex_3d_persistence DESTINATION bin)
+
+ endif (NOT CGAL_VERSION VERSION_LESS 4.11.0)
+
endif(CGAL_FOUND)
diff --git a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
index 28daca5e..0a021a0f 100644
--- a/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
+++ b/src/Alpha_complex/utilities/alpha_complex_3d_persistence.cpp
@@ -30,8 +30,6 @@
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_3.h>
#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
#include <CGAL/iterator.h>
#include <fstream>
@@ -42,6 +40,7 @@
#include <utility>
#include <list>
#include <vector>
+#include <cstdlib>
#include "alpha_complex_3d_helper.h"
@@ -76,7 +75,8 @@ using Simplex_tree_vertex = ST::Vertex_handle;
using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
-using PCOH = Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
+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);
@@ -132,28 +132,28 @@ int main(int argc, char **argv) {
Filtration_value filtration_max = 0.0;
for (auto object_iterator : the_objects) {
// Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
+ if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
count_cells++;
if (dim_max < 3) {
// Cell is of dim 3
dim_max = 3;
}
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
+ } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) {
vertex_list = from_facet<Vertex_list, Facet>(*facet);
count_facets++;
if (dim_max < 2) {
// Facet is of dim 2
dim_max = 2;
}
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
+ } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
count_edges++;
if (dim_max < 1) {
// Edge_3 is of dim 1
dim_max = 1;
}
- } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
+ } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
count_vertices++;
vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
}
@@ -179,7 +179,7 @@ int main(int argc, char **argv) {
}
}
// Construction of the simplex_tree
- Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator);
+ Filtration_value filtr = /*std::sqrt*/(*the_alpha_value_iterator);
#ifdef DEBUG_TRACES
std::cout << "filtration = " << filtr << std::endl;
#endif // DEBUG_TRACES
@@ -192,7 +192,6 @@ int main(int argc, char **argv) {
else
std::cout << "This shall not happen" << std::endl;
}
- simplex_tree.set_dimension(dim_max);
#ifdef DEBUG_TRACES
std::cout << "vertices \t\t" << count_vertices << std::endl;
@@ -218,7 +217,7 @@ int main(int argc, char **argv) {
std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
// Compute the persistence diagram of the complex
- PCOH pcoh(simplex_tree);
+ Persistent_cohomology pcoh(simplex_tree, true);
// initializes the coefficient field for homology
pcoh.init_coefficients(coeff_field_characteristic);
diff --git a/src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp
index c69482ab..9a266418 100644
--- a/src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp
+++ b/src/Alpha_complex/utilities/exact_alpha_complex_3d_persistence.cpp
@@ -4,7 +4,7 @@
*
* Author(s): Vincent Rouvreau
*
- * Copyright (C) 2014 INRIA Saclay (France)
+ * Copyright (C) 2014 INRIA
*
* This program is free software: you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
@@ -30,8 +30,6 @@
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
#include <CGAL/Delaunay_triangulation_3.h>
#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
#include <CGAL/iterator.h>
#include <fstream>
@@ -42,6 +40,7 @@
#include <utility>
#include <list>
#include <vector>
+#include <cstdlib>
#include "alpha_complex_3d_helper.h"
@@ -77,7 +76,8 @@ using Simplex_tree_vertex = ST::Vertex_handle;
using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
-using PCOH = Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
+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);
@@ -133,28 +133,28 @@ int main(int argc, char **argv) {
Filtration_value filtration_max = 0.0;
for (auto object_iterator : the_objects) {
// Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
+ if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
count_cells++;
if (dim_max < 3) {
// Cell is of dim 3
dim_max = 3;
}
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
+ } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) {
vertex_list = from_facet<Vertex_list, Facet>(*facet);
count_facets++;
if (dim_max < 2) {
// Facet is of dim 2
dim_max = 2;
}
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
+ } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
count_edges++;
if (dim_max < 1) {
// Edge_3 is of dim 1
dim_max = 1;
}
- } else if (const Vertex_handle *vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
+ } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
count_vertices++;
vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
}
@@ -181,7 +181,7 @@ int main(int argc, char **argv) {
}
// 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());
+ 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
@@ -194,7 +194,6 @@ int main(int argc, char **argv) {
else
std::cout << "This shall not happen" << std::endl;
}
- simplex_tree.set_dimension(dim_max);
#ifdef DEBUG_TRACES
std::cout << "vertices \t\t" << count_vertices << std::endl;
@@ -220,13 +219,21 @@ int main(int argc, char **argv) {
std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
// Compute the persistence diagram of the complex
- PCOH pcoh(simplex_tree);
+ 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();
+ // Output the diagram in filediag
+ if (output_file_diag.empty()) {
+ pcoh.output_diagram();
+ } else {
+ std::cout << "Result in file: " << output_file_diag << std::endl;
+ std::ofstream out(output_file_diag);
+ pcoh.output_diagram(out);
+ out.close();
+ }
return 0;
}
diff --git a/src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp
index b480a9ec..186a58f8 100644
--- a/src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp
+++ b/src/Alpha_complex/utilities/periodic_alpha_complex_3d_persistence.cpp
@@ -31,8 +31,6 @@
#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_vertex_base_3.h>
-#include <CGAL/Alpha_shape_cell_base_3.h>
#include <CGAL/iterator.h>
#include <fstream>
@@ -158,29 +156,28 @@ int main(int argc, char **argv) {
Filtration_value filtration_max = 0.0;
for (auto object_iterator : the_objects) {
// Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
+ if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
count_cells++;
if (dim_max < 3) {
// Cell is of dim 3
dim_max = 3;
}
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
+ } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) {
vertex_list = from_facet<Vertex_list, Facet>(*facet);
count_facets++;
if (dim_max < 2) {
// Facet is of dim 2
dim_max = 2;
}
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
+ } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
count_edges++;
if (dim_max < 1) {
// Edge_3 is of dim 1
dim_max = 1;
}
- } else if (const Alpha_shape_3::Vertex_handle *vertex =
- CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator)) {
+ } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
count_vertices++;
vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
}
@@ -219,7 +216,6 @@ int main(int argc, char **argv) {
else
std::cout << "This shall not happen" << std::endl;
}
- simplex_tree.set_dimension(dim_max);
#ifdef DEBUG_TRACES
std::cout << "vertices \t\t" << count_vertices << std::endl;
@@ -251,7 +247,15 @@ int main(int argc, char **argv) {
pcoh.compute_persistent_cohomology(min_persistence);
- pcoh.output_diagram();
+ // Output the diagram in filediag
+ if (output_file_diag.empty()) {
+ pcoh.output_diagram();
+ } else {
+ std::cout << "Result in file: " << output_file_diag << std::endl;
+ std::ofstream out(output_file_diag);
+ pcoh.output_diagram(out);
+ out.close();
+ }
return 0;
}
diff --git a/src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp
index 91747a8c..0e73a99b 100644
--- a/src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp
+++ b/src/Alpha_complex/utilities/weighted_alpha_complex_3d_persistence.cpp
@@ -27,14 +27,17 @@
#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_euclidean_traits_3.h>
#include <CGAL/Regular_triangulation_3.h>
#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/Alpha_shape_vertex_base_3.h>
-#include <CGAL/Alpha_shape_cell_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>
@@ -47,19 +50,37 @@
#include "alpha_complex_3d_helper.h"
-// Traits
+// 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>;
-using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>;
// From file type definition
using Point_3 = Gt::Bare_point;
using Weighted_point_3 = Gt::Weighted_point;
+// 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;
@@ -160,29 +181,28 @@ int main(int argc, char **argv) {
Filtration_value filtration_max = 0.0;
for (auto object_iterator : the_objects) {
// Retrieve Alpha shape vertex list from object
- if (const Cell_handle *cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
+ if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
count_cells++;
if (dim_max < 3) {
// Cell is of dim 3
dim_max = 3;
}
- } else if (const Facet *facet = CGAL::object_cast<Facet>(&object_iterator)) {
+ } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) {
vertex_list = from_facet<Vertex_list, Facet>(*facet);
count_facets++;
if (dim_max < 2) {
// Facet is of dim 2
dim_max = 2;
}
- } else if (const Edge_3 *edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
+ } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
count_edges++;
if (dim_max < 1) {
// Edge_3 is of dim 1
dim_max = 1;
}
- } else if (const Alpha_shape_3::Vertex_handle *vertex =
- CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator)) {
+ } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
count_vertices++;
vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
}
@@ -221,7 +241,6 @@ int main(int argc, char **argv) {
else
std::cout << "This shall not happen" << std::endl;
}
- simplex_tree.set_dimension(dim_max);
#ifdef DEBUG_TRACES
std::cout << "vertices \t\t" << count_vertices << std::endl;
@@ -253,7 +272,15 @@ int main(int argc, char **argv) {
pcoh.compute_persistent_cohomology(min_persistence);
- pcoh.output_diagram();
+ // Output the diagram in filediag
+ if (output_file_diag.empty()) {
+ pcoh.output_diagram();
+ } else {
+ std::cout << "Result in file: " << output_file_diag << std::endl;
+ std::ofstream out(output_file_diag);
+ pcoh.output_diagram(out);
+ out.close();
+ }
return 0;
}
diff --git a/src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp b/src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp
new file mode 100644
index 00000000..13634ff7
--- /dev/null
+++ b/src/Alpha_complex/utilities/weighted_periodic_alpha_complex_3d_persistence.cpp
@@ -0,0 +1,281 @@
+/* This file is part of the Gudhi Library. The Gudhi library
+ * (Geometric Understanding in Higher Dimensions) is a generic C++
+ * library for computational topology.
+ *
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2014 INRIA
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#include <boost/variant.hpp>
+
+#include <gudhi/Simplex_tree.h>
+#include <gudhi/Persistent_cohomology.h>
+#include <gudhi/Points_3D_off_io.h>
+
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Periodic_3_regular_triangulation_traits_3.h>
+#include <CGAL/Periodic_3_regular_triangulation_3.h>
+#include <CGAL/Alpha_shape_3.h>
+#include <CGAL/iterator.h>
+
+#include <fstream>
+#include <cmath>
+#include <string>
+#include <tuple>
+#include <map>
+#include <utility>
+#include <list>
+#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::list<Alpha_shape_3::Vertex_handle>;
+
+// gudhi type definition
+using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
+using Filtration_value = ST::Filtration_value;
+using Simplex_tree_vertex = ST::Vertex_handle;
+using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
+using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
+using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
+using Persistent_cohomology =
+ Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
+
+void usage(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 triangulation
+ std::vector<Point_3> lp = off_reader.get_point_cloud();
+
+ // Read weights information from file
+ std::ifstream weights_ifstr(argv[2]);
+ std::vector<Weighted_point_3> wp;
+ if (weights_ifstr.good()) {
+ double weight = 0.0;
+ std::size_t index = 0;
+ 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 " << argv[2] << std::endl;
+ usage(argv[0]);
+ }
+ } else {
+ std::cerr << "Unable to read file " << argv[2] << std::endl;
+ usage(argv[0]);
+ }
+
+ // 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.good()) {
+ iso_cuboid_str >> x_min >> y_min >> z_min >> x_max >> y_max >> z_max;
+ } else {
+ std::cerr << "Unable to read file " << argv[3] << 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();
+ 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(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();
+ int dim_max = 0;
+ Filtration_value filtration_max = 0.0;
+ for (auto object_iterator : the_objects) {
+ // Retrieve Alpha shape vertex list from object
+ if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
+ vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
+ count_cells++;
+ if (dim_max < 3) {
+ // Cell is of dim 3
+ dim_max = 3;
+ }
+ } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) {
+ vertex_list = from_facet<Vertex_list, Facet>(*facet);
+ count_facets++;
+ if (dim_max < 2) {
+ // Facet is of dim 2
+ dim_max = 2;
+ }
+ } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
+ vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
+ count_edges++;
+ if (dim_max < 1) {
+ // Edge_3 is of dim 1
+ dim_max = 1;
+ }
+ } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
+ count_vertices++;
+ vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
+ }
+ // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
+ Simplex_tree_vector_vertex the_simplex_tree;
+ for (auto the_alpha_shape_vertex : vertex_list) {
+ Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
+ if (the_map_iterator == map_cgal_simplex_tree.end()) {
+ // alpha shape not found
+ Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
+#ifdef DEBUG_TRACES
+ std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
+#endif // DEBUG_TRACES
+ the_simplex_tree.push_back(vertex);
+ map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(the_alpha_shape_vertex, vertex));
+ } else {
+ // alpha shape found
+ Simplex_tree_vertex vertex = the_map_iterator->second;
+#ifdef DEBUG_TRACES
+ std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
+#endif // DEBUG_TRACES
+ the_simplex_tree.push_back(vertex);
+ }
+ }
+ // Construction of the simplex_tree
+ 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;
+ }
+
+#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;
+}