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-rw-r--r--data/points/grid_10_10_10_in_0_2.off127
-rw-r--r--data/points/grid_10_10_10_in_0_2.weights126
-rw-r--r--src/Persistent_cohomology/example/CMakeLists.txt41
-rw-r--r--src/Persistent_cohomology/example/alpha_complex_3d_helper.h8
-rw-r--r--src/Persistent_cohomology/example/alpha_complex_3d_persistence.cpp34
-rw-r--r--src/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp36
-rw-r--r--src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp263
-rw-r--r--src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence_old_cgal_interface.cpp262
-rw-r--r--src/Persistent_cohomology/example/weighted_periodic_alpha_complex_3d_persistence.cpp292
9 files changed, 757 insertions, 432 deletions
diff --git a/data/points/grid_10_10_10_in_0_2.off b/data/points/grid_10_10_10_in_0_2.off
new file mode 100644
index 00000000..7618e065
--- /dev/null
+++ b/data/points/grid_10_10_10_in_0_2.off
@@ -0,0 +1,127 @@
+OFF
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+0.8 0.4 0
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+0.8 0.6 0
+0.8 0.6 0.2
+0.8 0.6 0.4
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+0.8 0.6 0.8
+0.8 0.8 0
+0.8 0.8 0.2
+0.8 0.8 0.4
+0.8 0.8 0.6
+0.8 0.8 0.8
diff --git a/data/points/grid_10_10_10_in_0_2.weights b/data/points/grid_10_10_10_in_0_2.weights
new file mode 100644
index 00000000..3672ecfd
--- /dev/null
+++ b/data/points/grid_10_10_10_in_0_2.weights
@@ -0,0 +1,126 @@
+1.0
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+
diff --git a/src/Persistent_cohomology/example/CMakeLists.txt b/src/Persistent_cohomology/example/CMakeLists.txt
index cc421bff..f6c866dc 100644
--- a/src/Persistent_cohomology/example/CMakeLists.txt
+++ b/src/Persistent_cohomology/example/CMakeLists.txt
@@ -73,30 +73,18 @@ if(CGAL_FOUND)
target_link_libraries(alpha_complex_3d_persistence ${CGAL_LIBRARY})
add_executable(exact_alpha_complex_3d_persistence exact_alpha_complex_3d_persistence.cpp)
target_link_libraries(exact_alpha_complex_3d_persistence ${CGAL_LIBRARY})
- add_executable(weighted_alpha_complex_3d_persistence weighted_alpha_complex_3d_persistence.cpp)
- target_link_libraries(weighted_alpha_complex_3d_persistence ${CGAL_LIBRARY})
- 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(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(weighted_periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES})
endif(TBB_FOUND)
add_test(NAME Persistent_cohomology_example_alpha_complex_3d COMMAND $<TARGET_FILE:alpha_complex_3d_persistence>
"${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "2" "0.45")
add_test(NAME Persistent_cohomology_example_exact_alpha_complex_3d COMMAND $<TARGET_FILE:exact_alpha_complex_3d_persistence>
"${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "2" "0.45")
- add_test(NAME Persistent_cohomology_example_weighted_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_alpha_complex_3d_persistence>
- "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.weights" "2" "0.45")
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)
- install(TARGETS weighted_periodic_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)
@@ -125,4 +113,33 @@ if(CGAL_FOUND)
install(TARGETS custom_persistence_sort 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)
+
+ install(TARGETS weighted_periodic_alpha_complex_3d_persistence DESTINATION bin)
+
+ # On CGAL 4.11, the weighted alpha shape 3 interface was changed - the new interface
+ add_executable(weighted_alpha_complex_3d_persistence weighted_alpha_complex_3d_persistence.cpp)
+ else(NOT CGAL_VERSION VERSION_LESS 4.11.0)
+ # On CGAL 4.11, the weighted alpha shape 3 interface was changed - the old interface
+ add_executable(weighted_alpha_complex_3d_persistence weighted_alpha_complex_3d_persistence_old_cgal_interface.cpp)
+ endif (NOT CGAL_VERSION VERSION_LESS 4.11.0)
+
+ # cf. if (NOT CGAL_VERSION VERSION_LESS 4.11.0) and else(NOT CGAL_VERSION VERSION_LESS 4.11.0)
+ # same target name on purpose
+ target_link_libraries(weighted_alpha_complex_3d_persistence ${CGAL_LIBRARY})
+ if (TBB_FOUND)
+ target_link_libraries(weighted_alpha_complex_3d_persistence ${TBB_LIBRARIES})
+ endif(TBB_FOUND)
+
+ install(TARGETS weighted_alpha_complex_3d_persistence DESTINATION bin)
+
+ add_test(NAME Persistent_cohomology_example_weighted_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_alpha_complex_3d_persistence>
+ "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.weights" "2" "0.45")
+
endif(CGAL_FOUND)
diff --git a/src/Persistent_cohomology/example/alpha_complex_3d_helper.h b/src/Persistent_cohomology/example/alpha_complex_3d_helper.h
index 7865e4ec..6b3b7d5d 100644
--- a/src/Persistent_cohomology/example/alpha_complex_3d_helper.h
+++ b/src/Persistent_cohomology/example/alpha_complex_3d_helper.h
@@ -23,7 +23,7 @@
#ifndef ALPHA_COMPLEX_3D_HELPER_H_
#define ALPHA_COMPLEX_3D_HELPER_H_
-template<class Vertex_list, class Cell_handle>
+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++) {
@@ -35,7 +35,7 @@ Vertex_list from_cell(const Cell_handle& ch) {
return the_list;
}
-template<class Vertex_list, class Facet>
+template <class Vertex_list, class Facet>
Vertex_list from_facet(const Facet& fct) {
Vertex_list the_list;
for (auto i = 0; i < 4; i++) {
@@ -49,7 +49,7 @@ Vertex_list from_facet(const Facet& fct) {
return the_list;
}
-template<class Vertex_list, class Edge_3>
+template <class Vertex_list, class Edge_3>
Vertex_list from_edge(const Edge_3& edg) {
Vertex_list the_list;
for (auto i = 0; i < 4; i++) {
@@ -63,7 +63,7 @@ Vertex_list from_edge(const Edge_3& edg) {
return the_list;
}
-template<class Vertex_list, class Vertex_handle>
+template <class Vertex_list, class Vertex_handle>
Vertex_list from_vertex(const Vertex_handle& vh) {
Vertex_list the_list;
#ifdef DEBUG_TRACES
diff --git a/src/Persistent_cohomology/example/alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/alpha_complex_3d_persistence.cpp
index fd227b82..a0db9b42 100644
--- a/src/Persistent_cohomology/example/alpha_complex_3d_persistence.cpp
+++ b/src/Persistent_cohomology/example/alpha_complex_3d_persistence.cpp
@@ -56,10 +56,10 @@ 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 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;
@@ -70,18 +70,19 @@ using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>;
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_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 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_file_graph coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n";
+ 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[]) {
+int main(int argc, char* const argv[]) {
// program args management
if (argc != 4) {
std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
@@ -142,28 +143,28 @@ int main(int argc, char * const 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);
}
@@ -189,7 +190,7 @@ int main(int argc, char * const 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
@@ -211,7 +212,6 @@ int main(int argc, char * const argv[]) {
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;
@@ -231,7 +231,7 @@ int main(int argc, char * const 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/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp
index 8928cfc2..33efbdc7 100644
--- a/src/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp
+++ b/src/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp
@@ -63,10 +63,10 @@ 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 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;
@@ -77,19 +77,19 @@ using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>;
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_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 >;
+using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
+using Persistent_cohomology =
+ Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
-void usage(char * const progName) {
- std::cerr << "Usage: " << progName <<
- " path_to_file_graph path_to_iso_cuboid_3_file coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n";
+void usage(char* const progName) {
+ std::cerr << "Usage: " << progName << " path_to_file_graph path_to_iso_cuboid_3_file "
+ "coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n";
exit(-1);
}
-int main(int argc, char * const argv[]) {
+int main(int argc, char* const argv[]) {
// program args management
if (argc != 5) {
std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
@@ -160,29 +160,28 @@ int main(int argc, char * const 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);
}
@@ -208,7 +207,7 @@ int main(int argc, char * const 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
@@ -230,7 +229,6 @@ int main(int argc, char * const argv[]) {
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;
diff --git a/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp
index 9e806c7a..92fed4c1 100644
--- a/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp
+++ b/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp
@@ -27,7 +27,6 @@
#include <gudhi/Points_3D_off_io.h>
#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Regular_triangulation_euclidean_traits_3.h>
#include <CGAL/Regular_triangulation_3.h>
#include <CGAL/Alpha_shape_3.h>
#include <CGAL/iterator.h>
@@ -44,26 +43,26 @@
#include "alpha_complex_3d_helper.h"
-// Traits
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-using Gt = CGAL::Regular_triangulation_euclidean_traits_3<Kernel>;
-using Vb = CGAL::Alpha_shape_vertex_base_3<Gt>;
-using Fb = CGAL::Alpha_shape_cell_base_3<Gt>;
-using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
-using Triangulation_3 = CGAL::Regular_triangulation_3<Gt, Tds>;
+using 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>;
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;
+using Point_3 = Triangulation_3::Bare_point;
+using Weighted_point_3 = Triangulation_3::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 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;
@@ -74,19 +73,19 @@ using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>;
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_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 >;
+using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
+using Persistent_cohomology =
+ Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
-void usage(char * const progName) {
- std::cerr << "Usage: " << progName <<
- " path_to_file_graph path_to_weight_file coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n";
+void usage(char* const progName) {
+ std::cerr << "Usage: " << progName << " path_to_file_graph path_to_weight_file coeff_field_characteristic[integer > "
+ "0] min_persistence[float >= -1.0]\n";
exit(-1);
}
-int main(int argc, char * const argv[]) {
+int main(int argc, char* const argv[]) {
// program args management
if (argc != 5) {
std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
@@ -136,129 +135,127 @@ int main(int argc, char * const argv[]) {
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;
+ // 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));
+ 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;
+ 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
- // Loop on objects vector
- Vertex_list vertex_list;
- ST simplex_tree;
- Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
- std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
- int dim_max = 0;
- Filtration_value filtration_max = 0.0;
- for (auto object_iterator : the_objects) {
- // Retrieve Alpha shape vertex list from object
- if (const Cell_handle * cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
- vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
- count_cells++;
- if (dim_max < 3) {
- // Cell is of dim 3
- dim_max = 3;
- }
- } else if (const Facet * facet = CGAL::object_cast<Facet>(&object_iterator)) {
- vertex_list = from_facet<Vertex_list, Facet>(*facet);
- count_facets++;
- if (dim_max < 2) {
- // Facet is of dim 2
- dim_max = 2;
- }
- } else if (const Edge_3 * edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
- vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
- count_edges++;
- if (dim_max < 1) {
- // Edge_3 is of dim 1
- dim_max = 1;
- }
- } else if (const Alpha_shape_3::Vertex_handle * vertex =
- CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator)) {
- count_vertices++;
- vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
- }
- // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
- Simplex_tree_vector_vertex the_simplex_tree;
- for (auto the_alpha_shape_vertex : vertex_list) {
- Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
- if (the_map_iterator == map_cgal_simplex_tree.end()) {
- // alpha shape not found
- Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
- #ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
- #endif // DEBUG_TRACES
- the_simplex_tree.push_back(vertex);
- map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(the_alpha_shape_vertex, vertex));
- } else {
- // alpha shape found
- Simplex_tree_vertex vertex = the_map_iterator->second;
- #ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
- #endif // DEBUG_TRACES
- the_simplex_tree.push_back(vertex);
- }
- }
- // Construction of the simplex_tree
- Filtration_value filtr = /*std::sqrt*/(*the_alpha_value_iterator);
- #ifdef DEBUG_TRACES
- std::cout << "filtration = " << filtr << std::endl;
- #endif // DEBUG_TRACES
- if (filtr > filtration_max) {
- filtration_max = filtr;
- }
- simplex_tree.insert_simplex(the_simplex_tree, filtr);
- if (the_alpha_value_iterator != the_alpha_values.end())
- ++the_alpha_value_iterator;
- else
- std::cout << "This shall not happen" << std::endl;
- }
- simplex_tree.set_filtration(filtration_max);
- simplex_tree.set_dimension(dim_max);
+ 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;
- #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;
+ // 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;
+ }
+ 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
+ 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
+#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();
+ // 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);
+ 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.compute_persistent_cohomology(min_persistence);
- pcoh.output_diagram();
+ pcoh.output_diagram();
return 0;
}
diff --git a/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence_old_cgal_interface.cpp b/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence_old_cgal_interface.cpp
new file mode 100644
index 00000000..e2c48755
--- /dev/null
+++ b/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence_old_cgal_interface.cpp
@@ -0,0 +1,262 @@
+/* This file is part of the Gudhi Library. The Gudhi library
+ * (Geometric Understanding in Higher Dimensions) is a generic C++
+ * library for computational topology.
+ *
+ * Author(s): Vincent Rouvreau
+ *
+ * Copyright (C) 2014 INRIA
+ *
+ * This program is free software: you can redistribute it and/or modify
+ * it under the terms of the GNU General Public License as published by
+ * the Free Software Foundation, either version 3 of the License, or
+ * (at your option) any later version.
+ *
+ * This program is distributed in the hope that it will be useful,
+ * but WITHOUT ANY WARRANTY; without even the implied warranty of
+ * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ * GNU General Public License for more details.
+ *
+ * You should have received a copy of the GNU General Public License
+ * along with this program. If not, see <http://www.gnu.org/licenses/>.
+ */
+
+#include <boost/variant.hpp>
+
+#include <gudhi/Simplex_tree.h>
+#include <gudhi/Persistent_cohomology.h>
+#include <gudhi/Points_3D_off_io.h>
+
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Regular_triangulation_euclidean_traits_3.h>
+#include <CGAL/Regular_triangulation_3.h>
+#include <CGAL/Alpha_shape_3.h>
+#include <CGAL/iterator.h>
+
+#include <fstream>
+#include <cmath>
+#include <string>
+#include <tuple>
+#include <map>
+#include <utility>
+#include <list>
+#include <vector>
+#include <cstdlib>
+
+#include "alpha_complex_3d_helper.h"
+
+// Traits
+using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
+using Gt = CGAL::Regular_triangulation_euclidean_traits_3<Kernel>;
+using Vb = CGAL::Alpha_shape_vertex_base_3<Gt>;
+using Fb = CGAL::Alpha_shape_cell_base_3<Gt>;
+using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
+using Triangulation_3 = CGAL::Regular_triangulation_3<Gt, Tds>;
+using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>;
+
+// From file type definition
+using Point_3 = Gt::Bare_point;
+using Weighted_point_3 = Gt::Weighted_point;
+
+// filtration with alpha values needed type definition
+using Alpha_value_type = Alpha_shape_3::FT;
+using Object = CGAL::Object;
+using Dispatch =
+ CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>,
+ CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >,
+ std::back_insert_iterator<std::vector<Alpha_value_type> > > >;
+using Cell_handle = Alpha_shape_3::Cell_handle;
+using Facet = Alpha_shape_3::Facet;
+using Edge_3 = Alpha_shape_3::Edge;
+using Vertex_handle = Alpha_shape_3::Vertex_handle;
+using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>;
+
+// gudhi type definition
+using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
+using Filtration_value = ST::Filtration_value;
+using Simplex_tree_vertex = ST::Vertex_handle;
+using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
+using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
+using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
+using Persistent_cohomology =
+ Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
+
+void usage(char* const progName) {
+ std::cerr << "Usage: " << progName << " path_to_file_graph path_to_weight_file coeff_field_characteristic[integer > "
+ "0] min_persistence[float >= -1.0]\n";
+ exit(-1);
+}
+
+int main(int argc, char* const argv[]) {
+ // program args management
+ if (argc != 5) {
+ std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
+ usage(argv[0]);
+ }
+
+ int coeff_field_characteristic = atoi(argv[3]);
+ Filtration_value min_persistence = strtof(argv[4], nullptr);
+
+ // Read points from file
+ std::string offInputFile(argv[1]);
+ // Read the OFF file (input file name given as parameter) and triangulate points
+ Gudhi::Points_3D_off_reader<Point_3> off_reader(offInputFile);
+ // Check the read operation was correct
+ if (!off_reader.is_valid()) {
+ std::cerr << "Unable to read file " << offInputFile << std::endl;
+ usage(argv[0]);
+ }
+
+ // Retrieve the triangulation
+ std::vector<Point_3> lp = off_reader.get_point_cloud();
+
+ // Read weights information from file
+ std::ifstream weights_ifstr(argv[2]);
+ std::vector<Weighted_point_3> wp;
+ if (weights_ifstr.good()) {
+ double weight = 0.0;
+ std::size_t index = 0;
+ 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]);
+ }
+
+ // 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();
+ 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;
+ }
+ simplex_tree.set_filtration(filtration_max);
+ simplex_tree.set_dimension(dim_max);
+
+#ifdef DEBUG_TRACES
+ std::cout << "vertices \t\t" << count_vertices << std::endl;
+ std::cout << "edges \t\t" << count_edges << std::endl;
+ std::cout << "facets \t\t" << count_facets << std::endl;
+ std::cout << "cells \t\t" << count_cells << std::endl;
+
+ std::cout << "Information of the Simplex Tree: " << std::endl;
+ std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
+ std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
+ std::cout << " Dimension = " << simplex_tree.dimension() << " ";
+ std::cout << " filtration = " << simplex_tree.filtration() << std::endl << std::endl;
+#endif // DEBUG_TRACES
+
+#ifdef DEBUG_TRACES
+ std::cout << "Iterator on vertices: " << std::endl;
+ for (auto vertex : simplex_tree.complex_vertex_range()) {
+ std::cout << vertex << " ";
+ }
+#endif // DEBUG_TRACES
+
+ // Sort the simplices in the order of the filtration
+ simplex_tree.initialize_filtration();
+
+ std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
+ // Compute the persistence diagram of the complex
+ Persistent_cohomology pcoh(simplex_tree, true);
+ // initializes the coefficient field for homology
+ pcoh.init_coefficients(coeff_field_characteristic);
+
+ pcoh.compute_persistent_cohomology(min_persistence);
+
+ pcoh.output_diagram();
+
+ return 0;
+}
diff --git a/src/Persistent_cohomology/example/weighted_periodic_alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/weighted_periodic_alpha_complex_3d_persistence.cpp
index 70c0572d..14f12c0e 100644
--- a/src/Persistent_cohomology/example/weighted_periodic_alpha_complex_3d_persistence.cpp
+++ b/src/Persistent_cohomology/example/weighted_periodic_alpha_complex_3d_persistence.cpp
@@ -27,13 +27,11 @@
#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/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 <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-
#include <fstream>
#include <cmath>
#include <string>
@@ -45,87 +43,33 @@
#include <cstdlib>
#include "alpha_complex_3d_helper.h"
-/*
-// Traits
-using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-using PK = CGAL::Periodic_3_Delaunay_triangulation_traits_3<Kernel>;
-
-using Vb = CGAL::Alpha_shape_vertex_base_3<PK>;
-using Fb = CGAL::Alpha_shape_cell_base_3<PK>;
-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>;
-
-//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 P3DT3 = CGAL::Periodic_3_Delaunay_triangulation_3<PK, Tds>;
-using Point_3 = PK::Point_3;
-
-// From file type definition
-using Point_3 = Gt::Bare_point;
-using Weighted_point_3 = Gt::Weighted_point;
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch = CGAL::Dispatch_output_iterator<
- CGAL::cpp11::tuple<Object, Alpha_value_type>,
- CGAL::cpp11::tuple<std::back_insert_iterator< std::vector<Object> >,
- std::back_insert_iterator< std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>;
-
-// gudhi type definition
-using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>;
-using Filtration_value = ST::Filtration_value;
-using Simplex_tree_vertex = ST::Vertex_handle;
-using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex >;
-using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
-using Simplex_tree_vector_vertex = std::vector< Simplex_tree_vertex >;
-using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<
- ST, Gudhi::persistent_cohomology::Field_Zp >;
- */
-
-
-
// Traits
using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-using K = CGAL::Exact_predicates_inexact_constructions_kernel;
-using PK = CGAL::Periodic_3_Delaunay_triangulation_traits_3<K>;
-using Gt = CGAL::Regular_triangulation_euclidean_traits_3<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::Triangulation_vertex_base_3<PK, DsVb>;
-using AsVb = CGAL::Alpha_shape_vertex_base_3<PK, Vb>;
+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::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 = CGAL::Periodic_3_Delaunay_triangulation_traits_3<K>::Point_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>;
-// From file type definition
-using Point_3 = Gt::Bare_point;
-using Weighted_point_3 = Gt::Weighted_point;
+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 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;
@@ -136,24 +80,23 @@ using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>;
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_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>;
-using Simplex_tree_vector_vertex = std::vector< Simplex_tree_vertex >;
-using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<
- ST, Gudhi::persistent_cohomology::Field_Zp >;
-
-
-void usage(char * const progName) {
- std::cerr << "Usage: " << progName <<
- " path_to_the_OFF_File path_to_weight_file path_to_the_cuboid_file coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n";
+using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>;
+using Persistent_cohomology =
+ Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>;
+
+void usage(char* const progName) {
+ std::cerr << "Usage: " << progName << " path_to_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[]) {
+}
+
+int main(int argc, char* const argv[]) {
// program args management
if (argc != 6) {
std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
- //file with points, file with weights, cuboid file, field characteristics, minimum persistence.
+ // file with points, file with weights, cuboid file, field characteristics, minimum persistence.
usage(argv[0]);
}
@@ -169,10 +112,10 @@ int main(int argc, char * const argv[]) {
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;
@@ -182,7 +125,7 @@ int main(int argc, char * const argv[]) {
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));
+ wp.push_back(Weighted_point_3(lp[index], weight));
index++;
}
if (index != lp.size()) {
@@ -193,7 +136,7 @@ int main(int argc, char * const argv[]) {
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;
@@ -203,164 +146,21 @@ int main(int argc, char * const argv[]) {
std::cerr << "Unable to read file " << argv[3] << std::endl;
usage(argv[0]);
}
-
+
std::cout << "wp.size() : " << wp.size() << std::endl;
// Define the periodic cube
- P3DT3 pdt(PK::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max));
+ 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)
- pdt.insert(wp.begin(), wp.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();
+ 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(pdt, 0, Alpha_shape_3::GENERAL);
-
-
-
-
-
-
-
-
-
-
- // filtration with alpha values from alpha shape
- std::vector<Object> the_objects;
- std::vector<Alpha_value_type> the_alpha_values;
-
- Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects),
- std::back_inserter(the_alpha_values));
-
- as.filtration_with_alpha_values(disp);
-#ifdef DEBUG_TRACES
- std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl;
-#endif // DEBUG_TRACES
-
- Alpha_shape_3::size_type count_vertices = 0;
- Alpha_shape_3::size_type count_edges = 0;
- Alpha_shape_3::size_type count_facets = 0;
- Alpha_shape_3::size_type count_cells = 0;
-
- // Loop on objects vector
- Vertex_list vertex_list;
- ST simplex_tree;
- Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
- std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
- int dim_max = 0;
- Filtration_value filtration_max = 0.0;
- for (auto object_iterator : the_objects) {
- // Retrieve Alpha shape vertex list from object
- if (const Cell_handle * cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
- vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
- count_cells++;
- if (dim_max < 3) {
- // Cell is of dim 3
- dim_max = 3;
- }
- } else if (const Facet * facet = CGAL::object_cast<Facet>(&object_iterator)) {
- vertex_list = from_facet<Vertex_list, Facet>(*facet);
- count_facets++;
- if (dim_max < 2) {
- // Facet is of dim 2
- dim_max = 2;
- }
- } else if (const Edge_3 * edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
- vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
- count_edges++;
- if (dim_max < 1) {
- // Edge_3 is of dim 1
- dim_max = 1;
- }
- } else if (const Alpha_shape_3::Vertex_handle * vertex =
- CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator)) {
- count_vertices++;
- vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
- }
- // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
- Simplex_tree_vector_vertex the_simplex_tree;
- for (auto the_alpha_shape_vertex : vertex_list) {
- Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
- if (the_map_iterator == map_cgal_simplex_tree.end()) {
- // alpha shape not found
- Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex_tree.push_back(vertex);
- map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(the_alpha_shape_vertex, vertex));
- } else {
- // alpha shape found
- Simplex_tree_vertex vertex = the_map_iterator->second;
-#ifdef DEBUG_TRACES
- std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
-#endif // DEBUG_TRACES
- the_simplex_tree.push_back(vertex);
- }
- }
- // Construction of the simplex_tree
- Filtration_value filtr = /*std::sqrt*/(*the_alpha_value_iterator);
-#ifdef DEBUG_TRACES
- std::cout << "filtration = " << filtr << std::endl;
-#endif // DEBUG_TRACES
- if (filtr > filtration_max) {
- filtration_max = filtr;
- }
- simplex_tree.insert_simplex(the_simplex_tree, filtr);
- if (the_alpha_value_iterator != the_alpha_values.end())
- ++the_alpha_value_iterator;
- else
- std::cout << "This shall not happen" << std::endl;
- }
- simplex_tree.set_filtration(filtration_max);
- simplex_tree.set_dimension(dim_max);
+ Alpha_shape_3 as(prt, 0, Alpha_shape_3::GENERAL);
-#ifdef DEBUG_TRACES
- std::cout << "vertices \t\t" << count_vertices << std::endl;
- std::cout << "edges \t\t" << count_edges << std::endl;
- std::cout << "facets \t\t" << count_facets << std::endl;
- std::cout << "cells \t\t" << count_cells << std::endl;
-
-
- std::cout << "Information of the Simplex Tree: " << std::endl;
- std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " ";
- std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl;
- std::cout << " Dimension = " << simplex_tree.dimension() << " ";
- std::cout << " filtration = " << simplex_tree.filtration() << std::endl << std::endl;
-#endif // DEBUG_TRACES
-
-#ifdef DEBUG_TRACES
- std::cout << "Iterator on vertices: " << std::endl;
- for (auto vertex : simplex_tree.complex_vertex_range()) {
- std::cout << vertex << " ";
- }
-#endif // DEBUG_TRACES
-
- // Sort the simplices in the order of the filtration
- simplex_tree.initialize_filtration();
-
- std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
- // Compute the persistence diagram of the complex
- Persistent_cohomology pcoh(simplex_tree, true);
- // initializes the coefficient field for homology
- pcoh.init_coefficients(coeff_field_characteristic);
-
- pcoh.compute_persistent_cohomology(min_persistence);
-
- pcoh.output_diagram();
-
-
-
-
-
-
-
-
-
-
-/*
// filtration with alpha values from alpha shape
std::vector<Object> the_objects;
std::vector<Alpha_value_type> the_alpha_values;
@@ -387,29 +187,29 @@ int main(int argc, char * const 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 Alpha_shape_3::Vertex_handle* vertex =
+ CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator)) {
count_vertices++;
vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
}
@@ -435,7 +235,7 @@ int main(int argc, char * const argv[]) {
}
}
// Construction of the simplex_tree
- Filtration_value filtr = (*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
@@ -457,7 +257,6 @@ int main(int argc, char * const argv[]) {
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;
@@ -484,7 +283,6 @@ int main(int argc, char * const argv[]) {
pcoh.compute_persistent_cohomology(min_persistence);
pcoh.output_diagram();
- */
return 0;
}