Document utilies in README files using Markdown + move/rename some utilities

Only missing doc for now: Garland_heckbert

git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/add_utils_in_gudhi_v2@2752 636b058d-ea47-450e-bf9e-a15bfbe3eedb

Former-commit-id: 7ba0113762b6622130835dc9e372acfae29c2db8

6 files changed, 51 insertions, 843 deletions

diff --git a/src/Persistent_cohomology/utilities/CMakeLists.txt b/src/Persistent_cohomology/utilities/CMakeLists.txt
index c2f00da2..5b315801 100644
--- a/src/Persistent_cohomology/utilities/CMakeLists.txt
+++ b/src/Persistent_cohomology/utilities/CMakeLists.txt
@@ -20,37 +20,4 @@ add_test(NAME Persistent_cohomology_example_from_rips_on_tore_3D COMMAND $<TARGE
 install(TARGETS rips_distance_matrix_persistence DESTINATION bin)
 install(TARGETS rips_persistence DESTINATION bin)
 
-if(CGAL_FOUND)
-  add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp)
-  target_link_libraries(alpha_complex_3d_persistence ${CGAL_LIBRARY})
-
-  if (TBB_FOUND)
-    target_link_libraries(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")
-
-  install(TARGETS alpha_complex_3d_persistence DESTINATION bin)
-
-  if (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0)
-    add_executable (alpha_complex_persistence alpha_complex_persistence.cpp)
-    target_link_libraries(alpha_complex_persistence
-        ${CGAL_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY})
-
-    add_executable(periodic_alpha_complex_3d_persistence periodic_alpha_complex_3d_persistence.cpp)
-    target_link_libraries(periodic_alpha_complex_3d_persistence ${CGAL_LIBRARY})
-
-    if (TBB_FOUND)
-      target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES})
-      target_link_libraries(periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES})
-    endif(TBB_FOUND)
-    add_test(NAME Persistent_cohomology_example_alpha_complex COMMAND $<TARGET_FILE:alpha_complex_persistence>
-        "${CMAKE_SOURCE_DIR}/data/points/tore3D_300.off" "-p" "2" "-m" "0.45")
-    add_test(NAME Persistent_cohomology_example_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:periodic_alpha_complex_3d_persistence>
-        "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off" "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt" "2" "0")
-
-    install(TARGETS alpha_complex_persistence DESTINATION bin)
-    install(TARGETS periodic_alpha_complex_3d_persistence DESTINATION bin)
-
-  endif (NOT CGAL_WITH_EIGEN3_VERSION VERSION_LESS 4.7.0)
 endif(CGAL_FOUND)
diff --git a/src/Persistent_cohomology/utilities/README b/src/Persistent_cohomology/utilities/README
index 76e960da..eecee7ee 100644
--- a/src/Persistent_cohomology/utilities/README
+++ b/src/Persistent_cohomology/utilities/README
@@ -1,114 +1,66 @@
-To build the utilities, run in a Terminal:
+# Persistent_cohomology #
 
-cd /path-to-utilities/
-cmake .
-make
+## `rips_persistence` ##
+This program computes the persistent homology with coefficient field *Z/pZ* of a Rips complex defined on a set of input points. The output diagram contains one bar per line, written with the convention:
 
-***********************************************************************************************************************
-Example of use of RIPS:
+`p dim b d`
 
-Computation of the persistent homology with Z/2Z coefficients of the Rips complex on points 
-sampling a 3D torus:
+where `dim` is the dimension of the homological feature, `b` and `d` are respectively the birth and death of the feature, and `p` is the characteristic of the field *Z/pZ* used for homology coefficients (`p = p1*...*pr` is the product of prime numbers *pi* such that the homology feature exists in homology with *Z/piZ* coefficients).
 
-./rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 2
+**Usage**
+`rips_persistence [options] <OFF input file>`
 
-output:
-2  0 0 inf 
+**Allowed options**
+
+* `-h [ --help ]` Produce help message
+* `-r [ --max-edge-length ]` (default = inf) Maximal length of an edge for the Rips complex construction.
+* `-d [ --cpx-dimension ]` (default = 1) Maximal dimension of the Rips complex we want to compute.
+* `-p [ --field-charac ]` (default = 11)     Characteristic p of the coefficient field Z/pZ for computing homology.
+* `-m [ --min-persistence ]` (default = 0) Minimal lifetime of homology feature to be recorded. Enter a negative value to see zero length intervals.
+
+**Example 1 with Z/2Z coefficients**
+`rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 2`
+
+outputs:
+```
+2  0 0 inf
 2  1 0.0983494 inf 
 2  1 0.104347 inf 
 2  2 0.138335 inf 
+```
 
+**Example 2 with Z/3Z coefficients**
 
-Every line is of this format: p1*...*pr   dim b d
-where
- 	p1*...*pr is the product of prime numbers pi such that the homology feature exists in homology with Z/piZ coefficients. 
-	dim is the dimension of the homological feature,
-    b and d are respectively the birth and death of the feature and
-   
+rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 3
 
+outputs:
+```
+3  0 0 inf
+3  1 0.0983494 inf
+3  1 0.104347 inf
+3  2 0.138335 inf
+```
 
-with Z/3Z coefficients:
 
-./rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 3
 
-output:
-3  0 0 inf 
-3  1 0.0983494 inf 
-3  1 0.104347 inf 
-3  2 0.138335 inf 
-
-***********************************************************************************************************************
-Example of use of ALPHA:
-
-For a more verbose mode, please run cmake with option "DEBUG_TRACES=TRUE" and recompile the programs.
-
-1) 3D special case
-------------------
-Computation of the persistent homology with Z/2Z coefficients of the alpha complex on points 
-sampling a torus 3D:
-
-./alpha_complex_3d_persistence ../../data/points/tore3D_300.off 2 0.45
-
-output:
-Simplex_tree dim: 3
-2  0 0 inf 
-2  1 0.0682162 1.0001 
-2  1 0.0934117 1.00003 
-2  2 0.56444 1.03938 
-
-Here we retrieve expected Betti numbers on a tore 3D:
-Betti numbers[0] = 1
-Betti numbers[1] = 2
-Betti numbers[2] = 1
-
-N.B.: - alpha_complex_3d_persistence accepts only OFF files in 3D dimension.
-      - filtration values are alpha square values
-
-2) d-Dimension case
--------------------
-Computation of the persistent homology with Z/2Z coefficients of the alpha complex on points 
-sampling a torus 3D:
-
-./alpha_complex_persistence -r 32 -p 2 -m 0.45 ../../data/points/tore3D_300.off
-
-output:
-Alpha complex is of dimension 3 - 9273 simplices - 300 vertices.
-Simplex_tree dim: 3
-2  0 0 inf 
-2  1 0.0682162 1.0001 
-2  1 0.0934117 1.00003 
-2  2 0.56444 1.03938 
-
-Here we retrieve expected Betti numbers on a tore 3D:
-Betti numbers[0] = 1
-Betti numbers[1] = 2
-Betti numbers[2] = 1
-
-N.B.: - alpha_complex_persistence accepts OFF files in d-Dimension.
-      - filtration values are alpha square values
-
-3) 3D periodic special case
----------------------------
-./periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off ../../data/points/iso_cuboid_3_in_0_1.txt 3 1.0
-
-output:
-Periodic Delaunay computed.
-Simplex_tree dim: 3
+
+## `rips_distance_matrix_persistence` ##
+Same as `rips_persistence` but taking an distance matrix as input.
+
+**Example**
+`rips_distance_matrix_persistence data/distance_matrix/full_square_distance_matrix.csv -r 15 -d 3 -p 3 -m 0`
+
+outputs:
+```
+The complex contains 46 simplices 
+   and has dimension 3 
 3  0 0 inf 
-3  1 0.0025 inf 
-3  1 0.0025 inf 
-3  1 0.0025 inf 
-3  2 0.005 inf 
-3  2 0.005 inf 
-3  2 0.005 inf 
-3  3 0.0075 inf 
-
-Here we retrieve expected Betti numbers on a tore 3D:
-Betti numbers[0] = 1
-Betti numbers[1] = 3
-Betti numbers[2] = 3
-Betti numbers[3] = 1
-
-N.B.: - periodic_alpha_complex_3d_persistence accepts only OFF files in 3D dimension. In this example, the periodic cube
-is hard coded to { x = [0,1]; y = [0,1]; z = [0,1] }
-      - filtration values are alpha square values
+3  0 0 8.94427 
+3  0 0 7.28011 
+3  0 0 6.08276 
+3  0 0 5.83095 
+3  0 0 5.38516 
+3  0 0 5 
+3  1 11 12.0416 
+3  1 6.32456 6.7082 
+```
diff --git a/src/Persistent_cohomology/utilities/alpha_complex_3d_helper.h b/src/Persistent_cohomology/utilities/alpha_complex_3d_helper.h
deleted file mode 100644
index 7865e4ec..00000000
--- a/src/Persistent_cohomology/utilities/alpha_complex_3d_helper.h
+++ /dev/null
@@ -1,76 +0,0 @@
-/*    This file is part of the Gudhi Library. The Gudhi library
- *    (Geometric Understanding in Higher Dimensions) is a generic C++
- *    library for computational topology.
- *
- *    Author(s):       Vincent Rouvreau
- *
- *    Copyright (C) 2014  INRIA Saclay (France)
- *
- *    This program is free software: you can redistribute it and/or modify
- *    it under the terms of the GNU General Public License as published by
- *    the Free Software Foundation, either version 3 of the License, or
- *    (at your option) any later version.
- *
- *    This program is distributed in the hope that it will be useful,
- *    but WITHOUT ANY WARRANTY; without even the implied warranty of
- *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- *    GNU General Public License for more details.
- *
- *    You should have received a copy of the GNU General Public License
- *    along with this program.  If not, see <http://www.gnu.org/licenses/>.
- */
-
-#ifndef ALPHA_COMPLEX_3D_HELPER_H_
-#define ALPHA_COMPLEX_3D_HELPER_H_
-
-template<class Vertex_list, class Cell_handle>
-Vertex_list from_cell(const Cell_handle& ch) {
-  Vertex_list the_list;
-  for (auto i = 0; i < 4; i++) {
-#ifdef DEBUG_TRACES
-    std::cout << "from cell[" << i << "]=" << ch->vertex(i)->point() << std::endl;
-#endif  // DEBUG_TRACES
-    the_list.push_back(ch->vertex(i));
-  }
-  return the_list;
-}
-
-template<class Vertex_list, class Facet>
-Vertex_list from_facet(const Facet& fct) {
-  Vertex_list the_list;
-  for (auto i = 0; i < 4; i++) {
-    if (fct.second != i) {
-#ifdef DEBUG_TRACES
-      std::cout << "from facet=[" << i << "]" << fct.first->vertex(i)->point() << std::endl;
-#endif  // DEBUG_TRACES
-      the_list.push_back(fct.first->vertex(i));
-    }
-  }
-  return the_list;
-}
-
-template<class Vertex_list, class Edge_3>
-Vertex_list from_edge(const Edge_3& edg) {
-  Vertex_list the_list;
-  for (auto i = 0; i < 4; i++) {
-    if ((edg.second == i) || (edg.third == i)) {
-#ifdef DEBUG_TRACES
-      std::cout << "from edge[" << i << "]=" << edg.first->vertex(i)->point() << std::endl;
-#endif  // DEBUG_TRACES
-      the_list.push_back(edg.first->vertex(i));
-    }
-  }
-  return the_list;
-}
-
-template<class Vertex_list, class Vertex_handle>
-Vertex_list from_vertex(const Vertex_handle& vh) {
-  Vertex_list the_list;
-#ifdef DEBUG_TRACES
-  std::cout << "from vertex=" << vh->point() << std::endl;
-#endif  // DEBUG_TRACES
-  the_list.push_back(vh);
-  return the_list;
-}
-
-#endif  // ALPHA_COMPLEX_3D_HELPER_H_
diff --git a/src/Persistent_cohomology/utilities/alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/utilities/alpha_complex_3d_persistence.cpp
deleted file mode 100644
index f63ff0f6..00000000
--- a/src/Persistent_cohomology/utilities/alpha_complex_3d_persistence.cpp
+++ /dev/null
@@ -1,242 +0,0 @@
-/*    This file is part of the Gudhi Library. The Gudhi library
- *    (Geometric Understanding in Higher Dimensions) is a generic C++
- *    library for computational topology.
- *
- *    Author(s):       Vincent Rouvreau
- *
- *    Copyright (C) 2014  INRIA
- *
- *    This program is free software: you can redistribute it and/or modify
- *    it under the terms of the GNU General Public License as published by
- *    the Free Software Foundation, either version 3 of the License, or
- *    (at your option) any later version.
- *
- *    This program is distributed in the hope that it will be useful,
- *    but WITHOUT ANY WARRANTY; without even the implied warranty of
- *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- *    GNU General Public License for more details.
- *
- *    You should have received a copy of the GNU General Public License
- *    along with this program.  If not, see <http://www.gnu.org/licenses/>.
- */
-
-#include <boost/variant.hpp>
-
-#include <gudhi/Simplex_tree.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_3D_off_io.h>
-
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Delaunay_triangulation_3.h>
-#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/iterator.h>
-
-#include <fstream>
-#include <cmath>
-#include <string>
-#include <tuple>
-#include <map>
-#include <utility>
-#include <list>
-#include <vector>
-
-#include "alpha_complex_3d_helper.h"
-
-// Alpha_shape_3 templates type definitions
-using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel;
-using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel>;
-using Fb = CGAL::Alpha_shape_cell_base_3<Kernel>;
-using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>;
-using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>;
-using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>;
-
-// From file type definition
-using Point_3 = Kernel::Point_3;
-
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch = CGAL::Dispatch_output_iterator<
-          CGAL::cpp11::tuple<Object, Alpha_value_type>,
-          CGAL::cpp11::tuple<std::back_insert_iterator< std::vector<Object> >,
-          std::back_insert_iterator< std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-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 PCOH = Gudhi::persistent_cohomology::Persistent_cohomology< ST, Gudhi::persistent_cohomology::Field_Zp >;
-
-void usage(const std::string& progName) {
-  std::cerr << "Usage:\n" << progName << " path_to_OFF_file coeff_field_characteristic[integer " <<
-               "> 0] min_persistence[float >= -1.0]\n";
-  std::cerr << "  path_to_OFF_file is the path to your points cloud in OFF format.\n";
-  exit(-1);
-}
-
-int main(int argc, char * const argv[]) {
-  // program args management
-  if (argc != 4) {
-    std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n";
-    usage(argv[0]);
-  }
-
-  int coeff_field_characteristic = atoi(argv[2]);
-
-  Filtration_value min_persistence = 0.0;
-  int returnedScanValue = sscanf(argv[3], "%f", &min_persistence);
-  if ((returnedScanValue == EOF) || (min_persistence < -1.0)) {
-    std::cerr << "Error: " << argv[3] << " is not correct\n";
-    usage(argv[0]);
-  }
-
-  // Read points from file
-  std::string offInputFile(argv[1]);
-  // Read the OFF file (input file name given as parameter) and triangulate points
-  Gudhi::Points_3D_off_reader<Point_3> off_reader(offInputFile);
-  // Check the read operation was correct
-  if (!off_reader.is_valid()) {
-    std::cerr << "Unable to read file " << offInputFile << std::endl;
-    usage(argv[0]);
-  }
-
-  // Retrieve the triangulation
-  std::vector<Point_3> lp = off_reader.get_point_cloud();
-
-  // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode.
-  Alpha_shape_3 as(lp.begin(), lp.end(), 0, Alpha_shape_3::GENERAL);
-#ifdef DEBUG_TRACES
-  std::cout << "Alpha shape computed in GENERAL mode" << std::endl;
-#endif  // DEBUG_TRACES
-
-  // filtration with alpha values from alpha shape
-  std::vector<Object> the_objects;
-  std::vector<Alpha_value_type> the_alpha_values;
-
-  Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects),
-                                                                  std::back_inserter(the_alpha_values));
-
-  as.filtration_with_alpha_values(disp);
-#ifdef DEBUG_TRACES
-  std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl;
-#endif  // DEBUG_TRACES
-
-  Alpha_shape_3::size_type count_vertices = 0;
-  Alpha_shape_3::size_type count_edges = 0;
-  Alpha_shape_3::size_type count_facets = 0;
-  Alpha_shape_3::size_type count_cells = 0;
-
-  // Loop on objects vector
-  Vertex_list vertex_list;
-  ST simplex_tree;
-  Alpha_shape_simplex_tree_map map_cgal_simplex_tree;
-  std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin();
-  int dim_max = 0;
-  Filtration_value filtration_max = 0.0;
-  for (auto object_iterator : the_objects) {
-    // Retrieve Alpha shape vertex list from object
-    if (const Cell_handle * cell = CGAL::object_cast<Cell_handle>(&object_iterator)) {
-      vertex_list = from_cell<Vertex_list, Cell_handle>(*cell);
-      count_cells++;
-      if (dim_max < 3) {
-        // Cell is of dim 3
-        dim_max = 3;
-      }
-    } else if (const Facet * facet = CGAL::object_cast<Facet>(&object_iterator)) {
-      vertex_list = from_facet<Vertex_list, Facet>(*facet);
-      count_facets++;
-      if (dim_max < 2) {
-        // Facet is of dim 2
-        dim_max = 2;
-      }
-    } else if (const Edge_3 * edge = CGAL::object_cast<Edge_3>(&object_iterator)) {
-      vertex_list = from_edge<Vertex_list, Edge_3>(*edge);
-      count_edges++;
-      if (dim_max < 1) {
-        // Edge_3 is of dim 1
-        dim_max = 1;
-      }
-    } else if (const Vertex_handle * vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) {
-      count_vertices++;
-      vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex);
-    }
-    // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex
-    Simplex_tree_vector_vertex the_simplex_tree;
-    for (auto the_alpha_shape_vertex : vertex_list) {
-      Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex);
-      if (the_map_iterator == map_cgal_simplex_tree.end()) {
-        // alpha shape not found
-        Simplex_tree_vertex vertex = map_cgal_simplex_tree.size();
-#ifdef DEBUG_TRACES
-        std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl;
-#endif  // DEBUG_TRACES
-        the_simplex_tree.push_back(vertex);
-        map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(the_alpha_shape_vertex, vertex));
-      } else {
-        // alpha shape found
-        Simplex_tree_vertex vertex = the_map_iterator->second;
-#ifdef DEBUG_TRACES
-        std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl;
-#endif  // DEBUG_TRACES
-        the_simplex_tree.push_back(vertex);
-      }
-    }
-    // Construction of the simplex_tree
-    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_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() << " ";
-#endif  // DEBUG_TRACES
-
-#ifdef DEBUG_TRACES
-  std::cout << "Iterator on vertices: " << std::endl;
-  for (auto vertex : simplex_tree.complex_vertex_range()) {
-    std::cout << vertex << " ";
-  }
-#endif  // DEBUG_TRACES
-
-  // Sort the simplices in the order of the filtration
-  simplex_tree.initialize_filtration();
-
-  std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl;
-  // Compute the persistence diagram of the complex
-  PCOH pcoh(simplex_tree);
-  // initializes the coefficient field for homology
-  pcoh.init_coefficients(coeff_field_characteristic);
-
-  pcoh.compute_persistent_cohomology(min_persistence);
-
-  pcoh.output_diagram();
-
-  return 0;
-}
diff --git a/src/Persistent_cohomology/utilities/alpha_complex_persistence.cpp b/src/Persistent_cohomology/utilities/alpha_complex_persistence.cpp
deleted file mode 100644
index 9e84e91f..00000000
--- a/src/Persistent_cohomology/utilities/alpha_complex_persistence.cpp
+++ /dev/null
@@ -1,125 +0,0 @@
-#include <boost/program_options.hpp>
-
-#include <CGAL/Epick_d.h>
-
-#include <gudhi/Alpha_complex.h>
-#include <gudhi/Persistent_cohomology.h>
-// to construct a simplex_tree from alpha complex
-#include <gudhi/Simplex_tree.h>
-
-#include <iostream>
-#include <string>
-#include <limits>  // for numeric_limits
-
-using Simplex_tree = Gudhi::Simplex_tree<>;
-using Filtration_value = Simplex_tree::Filtration_value;
-
-void program_options(int argc, char * argv[]
-                     , std::string & off_file_points
-                     , std::string & output_file_diag
-                     , Filtration_value & alpha_square_max_value
-                     , int & coeff_field_characteristic
-                     , Filtration_value & min_persistence);
-
-int main(int argc, char **argv) {
-  std::string off_file_points;
-  std::string output_file_diag;
-  Filtration_value alpha_square_max_value;
-  int coeff_field_characteristic;
-  Filtration_value min_persistence;
-
-  program_options(argc, argv, off_file_points, output_file_diag, alpha_square_max_value,
-                  coeff_field_characteristic, min_persistence);
-
-  // ----------------------------------------------------------------------------
-  // Init of an alpha complex from an OFF file
-  // ----------------------------------------------------------------------------
-  using Kernel = CGAL::Epick_d< CGAL::Dynamic_dimension_tag >;
-  Gudhi::alpha_complex::Alpha_complex<Kernel> alpha_complex_from_file(off_file_points);
-
-  Simplex_tree simplex;
-  if (alpha_complex_from_file.create_complex(simplex, alpha_square_max_value)) {
-    // ----------------------------------------------------------------------------
-    // Display information about the alpha complex
-    // ----------------------------------------------------------------------------
-    std::cout << "Simplicial complex is of dimension " << simplex.dimension() <<
-        " - " << simplex.num_simplices() << " simplices - " <<
-        simplex.num_vertices() << " vertices." << std::endl;
-
-    // Sort the simplices in the order of the filtration
-    simplex.initialize_filtration();
-
-    std::cout << "Simplex_tree dim: " << simplex.dimension() << std::endl;
-    // Compute the persistence diagram of the complex
-    Gudhi::persistent_cohomology::Persistent_cohomology< Simplex_tree,
-        Gudhi::persistent_cohomology::Field_Zp > pcoh(simplex);
-    // initializes the coefficient field for homology
-    pcoh.init_coefficients(coeff_field_characteristic);
-
-    pcoh.compute_persistent_cohomology(min_persistence);
-
-    // Output the diagram in filediag
-    if (output_file_diag.empty()) {
-      pcoh.output_diagram();
-    } else {
-      std::cout << "Result in file: " << output_file_diag << std::endl;
-      std::ofstream out(output_file_diag);
-      pcoh.output_diagram(out);
-      out.close();
-    }
-  }
-
-  return 0;
-}
-
-void program_options(int argc, char * argv[]
-                     , std::string & off_file_points
-                     , std::string & output_file_diag
-                     , Filtration_value & alpha_square_max_value
-                     , int & coeff_field_characteristic
-                     , Filtration_value & min_persistence) {
-  namespace po = boost::program_options;
-  po::options_description hidden("Hidden options");
-  hidden.add_options()
-      ("input-file", po::value<std::string>(&off_file_points),
-       "Name of file containing a point set. Format is one point per line:   X1 ... Xd ");
-
-  po::options_description visible("Allowed options", 100);
-  visible.add_options()
-      ("help,h", "produce help message")
-      ("output-file,o", po::value<std::string>(&output_file_diag)->default_value(std::string()),
-       "Name of file in which the persistence diagram is written. Default print in std::cout")
-      ("max-alpha-square-value,r",
-      po::value<Filtration_value>(&alpha_square_max_value)->default_value(std::numeric_limits<Filtration_value>::infinity()),
-       "Maximal alpha square value for the Alpha complex construction.")
-      ("field-charac,p", po::value<int>(&coeff_field_characteristic)->default_value(11),
-       "Characteristic p of the coefficient field Z/pZ for computing homology.")
-      ("min-persistence,m", po::value<Filtration_value>(&min_persistence),
-       "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals");
-
-  po::positional_options_description pos;
-  pos.add("input-file", 1);
-
-  po::options_description all;
-  all.add(visible).add(hidden);
-
-  po::variables_map vm;
-  po::store(po::command_line_parser(argc, argv).
-            options(all).positional(pos).run(), vm);
-  po::notify(vm);
-
-  if (vm.count("help") || !vm.count("input-file")) {
-    std::cout << std::endl;
-    std::cout << "Compute the persistent homology with coefficient field Z/pZ \n";
-    std::cout << "of an Alpha complex defined on a set of input points.\n \n";
-    std::cout << "The output diagram contains one bar per line, written with the convention: \n";
-    std::cout << "   p   dim b d \n";
-    std::cout << "where dim is the dimension of the homological feature,\n";
-    std::cout << "b and d are respectively the birth and death of the feature and \n";
-    std::cout << "p is the characteristic of the field Z/pZ used for homology coefficients." << std::endl << std::endl;
-
-    std::cout << "Usage: " << argv[0] << " [options] input-file" << std::endl << std::endl;
-    std::cout << visible << std::endl;
-    std::abort();
-  }
-}
diff --git a/src/Persistent_cohomology/utilities/periodic_alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/utilities/periodic_alpha_complex_3d_persistence.cpp
deleted file mode 100644
index 8140a3c5..00000000
--- a/src/Persistent_cohomology/utilities/periodic_alpha_complex_3d_persistence.cpp
+++ /dev/null
@@ -1,268 +0,0 @@
-/*    This file is part of the Gudhi Library. The Gudhi library
- *    (Geometric Understanding in Higher Dimensions) is a generic C++
- *    library for computational topology.
- *
- *    Author(s):       Vincent Rouvreau
- *
- *    Copyright (C) 2014  INRIA
- *
- *    This program is free software: you can redistribute it and/or modify
- *    it under the terms of the GNU General Public License as published by
- *    the Free Software Foundation, either version 3 of the License, or
- *    (at your option) any later version.
- *
- *    This program is distributed in the hope that it will be useful,
- *    but WITHOUT ANY WARRANTY; without even the implied warranty of
- *    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
- *    GNU General Public License for more details.
- *
- *    You should have received a copy of the GNU General Public License
- *    along with this program.  If not, see <http://www.gnu.org/licenses/>.
- */
-
-#include <boost/variant.hpp>
-
-#include <gudhi/Simplex_tree.h>
-#include <gudhi/Persistent_cohomology.h>
-#include <gudhi/Points_3D_off_io.h>
-
-#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
-#include <CGAL/Periodic_3_Delaunay_triangulation_traits_3.h>
-#include <CGAL/Periodic_3_Delaunay_triangulation_3.h>
-#include <CGAL/Alpha_shape_3.h>
-#include <CGAL/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 K = CGAL::Exact_predicates_inexact_constructions_kernel;
-using PK = CGAL::Periodic_3_Delaunay_triangulation_traits_3<K>;
-// Vertex type
-using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>;
-using Vb = CGAL::Triangulation_vertex_base_3<PK, DsVb>;
-using AsVb = CGAL::Alpha_shape_vertex_base_3<PK, Vb>;
-// Cell type
-using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>;
-using Cb = CGAL::Triangulation_cell_base_3<PK, DsCb>;
-using AsCb = CGAL::Alpha_shape_cell_base_3<PK, Cb>;
-using Tds = CGAL::Triangulation_data_structure_3<AsVb, AsCb>;
-using P3DT3 = CGAL::Periodic_3_Delaunay_triangulation_3<PK, Tds>;
-using Alpha_shape_3 = CGAL::Alpha_shape_3<P3DT3>;
-using Point_3 = PK::Point_3;
-
-// filtration with alpha values needed type definition
-using Alpha_value_type = Alpha_shape_3::FT;
-using Object = CGAL::Object;
-using Dispatch = CGAL::Dispatch_output_iterator<
-    CGAL::cpp11::tuple<Object, Alpha_value_type>,
-    CGAL::cpp11::tuple<std::back_insert_iterator< std::vector<Object> >,
-    std::back_insert_iterator< std::vector<Alpha_value_type> > > >;
-using Cell_handle = Alpha_shape_3::Cell_handle;
-using Facet = Alpha_shape_3::Facet;
-using Edge_3 = Alpha_shape_3::Edge;
-using Vertex_handle = Alpha_shape_3::Vertex_handle;
-using Vertex_list = std::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:\n" << progName << " path_to_OFF_file path_to_iso_cuboid_3_file coeff_field_characteristic[" <<
-               "integer > 0] min_persistence[float >= -1.0]\n" <<
-               "  path_to_OFF_file is the path to your points cloud in OFF format.\n" <<
-               "  path_to_iso_cuboid_3_file is the path to the iso cuboid file with the following format :\n" <<
-               "    x_min y_min z_min x_max y_max z_max\n" <<
-               "  In this example, the periodic cube will be " <<
-               "{ x = [x_min,x_max]; y = [y_min,y_max]; z = [z_min,z_max] }.\n" <<
-               "  For more information, please refer to\n" <<
-               "    https://doc.cgal.org/latest/Kernel_23/classCGAL_1_1Iso__cuboid__3.html\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]);
-  }
-
-  // Read iso_cuboid_3 information from file
-  std::ifstream iso_cuboid_str(argv[2]);
-  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[2] << std::endl;
-    usage(argv[0]);
-  }
-
-  // Retrieve the triangulation
-  std::vector<Point_3> lp = off_reader.get_point_cloud();
-
-  // Define the periodic cube
-  P3DT3 pdt(PK::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max));
-  // Heuristic for inserting large point sets (if pts is reasonably large)
-  pdt.insert(lp.begin(), lp.end(), true);
-  // As pdt won't be modified anymore switch to 1-sheeted cover if possible
-  if (pdt.is_triangulation_in_1_sheet()) pdt.convert_to_1_sheeted_covering();
-  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_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() << " ";
-#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;
-}