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| author | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-02-02 15:45:06 +0000 |
|---|---|---|
| committer | vrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb> | 2018-02-02 15:45:06 +0000 |
| commit | 5ae31a73253f6b29f5cbf1e04af17acf62741d9e (patch) | |
| tree | 512041b9bf0835f2520e5b6b2fde0f972998efc4 /src/Persistent_cohomology | |
| parent | 4a5332dfb88ec27157c82f77df87f588f7016736 (diff) | |
| parent | 265484997185f3bf900744406206a2d64ca0a20d (diff) | |
Merge last trunk modificat
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/rips_complex_from_correlation_matrix@3212 636b058d-ea47-450e-bf9e-a15bfbe3eedb
Former-commit-id: ea6296547b67ad82f5983d4309493e9131da7dd0
Diffstat (limited to 'src/Persistent_cohomology')
13 files changed, 56 insertions, 2061 deletions
diff --git a/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h b/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h index 1b8ff95a..4dbe82c7 100644 --- a/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h +++ b/src/Persistent_cohomology/doc/Intro_persistent_cohomology.h @@ -143,8 +143,8 @@ namespace persistent_cohomology { We provide several example files: run these examples with -h for details on their use, and read the README file. -\li <a href="_persistent_cohomology_2rips_persistence_8cpp-example.html"> -Persistent_cohomology/rips_persistence.cpp</a> computes the Rips complex of a point cloud and outputs its persistence +\li <a href="_rips_complex_2rips_persistence_8cpp-example.html"> +Rips_complex/rips_persistence.cpp</a> computes the Rips complex of a point cloud and outputs its persistence diagram. \code $> ./rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 3 \endcode \code The complex contains 177838 simplices @@ -158,57 +158,44 @@ diagram. Persistent_cohomology/rips_multifield_persistence.cpp</a> computes the Rips complex of a point cloud and outputs its persistence diagram with a family of field coefficients. -\li <a href="_persistent_cohomology_2rips_distance_matrix_persistence_8cpp-example.html"> -Persistent_cohomology/rips_distance_matrix_persistence.cpp</a> computes the Rips complex of a distance matrix and +\li <a href="_rips_complex_2rips_distance_matrix_persistence_8cpp-example.html"> +Rips_complex/rips_distance_matrix_persistence.cpp</a> computes the Rips complex of a distance matrix and outputs its persistence diagram. -The file should contain square or lower triangular distance matrix with semicolons as separators. -The code do not check if it is dealing with a distance matrix. It is the user responsibility to provide a valid input. -Please refer to data/distance_matrix/lower_triangular_distance_matrix.csv for an example of a file. - -\li <a href="_persistent_cohomology_2rips_correlation_matrix_persistence_8cpp-example.html"> -Persistent_cohomology/rips_correlation_matrix_persistence.cpp</a> -computes the Rips complex of a correlation matrix and outputs its persistence diagram. - -Note that no check is performed if the matrix given as the input is a correlation matrix. -It is the user responsibility to ensure that this is the case. The input is to be given either as a square or a lower -triangular matrix. -Please refer to data/correlation_matrix/lower_triangular_correlation_matrix.csv for an example of a file. - -\li <a href="_persistent_cohomology_2alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. -\code $> ./alpha_complex_3d_persistence ../../data/points/tore3D_300.off 2 0.45 \endcode +\code $> ./alpha_complex_3d_persistence ../../data/points/tore3D_300.off -p 2 -m 0.45 \endcode \code Simplex_tree dim: 3 2 0 0 inf 2 1 0.0682162 1.0001 2 1 0.0934117 1.00003 2 2 0.56444 1.03938 \endcode -\li <a href="_persistent_cohomology_2exact_alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/exact_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2exact_alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/exact_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. Here, as CGAL computes the exact values, it is slower, but it is necessary when points are on a grid for instance. -\code $> ./exact_alpha_complex_3d_persistence ../../data/points/sphere3D_pts_on_grid.off 2 0.1 \endcode +\code $> ./exact_alpha_complex_3d_persistence ../../data/points/sphere3D_pts_on_grid.off -p 2 -m 0.1 \endcode \code Simplex_tree dim: 3 2 0 0 inf 2 2 0.0002 0.2028 \endcode -\li <a href="_persistent_cohomology_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/weighted_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2weighted_alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/weighted_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the weighted alpha complex on points sampling from an OFF file and a weights file. \code $> ./weighted_alpha_complex_3d_persistence ../../data/points/tore3D_300.off -../../data/points/tore3D_300.weights 2 0.45 \endcode +../../data/points/tore3D_300.weights -p 2 -m 0.45 \endcode \code Simplex_tree dim: 3 2 0 -1 inf 2 1 -0.931784 0.000103311 2 1 -0.906588 2.60165e-05 2 2 -0.43556 0.0393798 \endcode -\li <a href="_persistent_cohomology_2alpha_complex_persistence_8cpp-example.html"> -Persistent_cohomology/alpha_complex_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2alpha_complex_persistence_8cpp-example.html"> +Alpha_complex/alpha_complex_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/p\mathbb{Z}\f$ coefficients of the alpha complex on points sampling from an OFF file. \code $> ./alpha_complex_persistence -r 32 -p 2 -m 0.45 ../../data/points/tore3D_300.off \endcode \code Alpha complex is of dimension 3 - 9273 simplices - 300 vertices. @@ -218,11 +205,13 @@ Simplex_tree dim: 3 2 1 0.0934117 1.00003 2 2 0.56444 1.03938 \endcode -\li <a href="_persistent_cohomology_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> -Persistent_cohomology/periodic_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\li <a href="_alpha_complex_2periodic_alpha_complex_3d_persistence_8cpp-example.html"> +Alpha_complex/periodic_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with \f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the periodic alpha complex on points sampling from an OFF file. +The second parameter is a \ref FileFormatsIsoCuboid file with coordinates of the periodic cuboid. +Note that the lengths of the sides of the periodic cuboid have to be the same. \code $> ./periodic_alpha_complex_3d_persistence ../../data/points/grid_10_10_10_in_0_1.off -../../data/points/iso_cuboid_3_in_0_1.txt 3 1.0 \endcode +../../data/points/iso_cuboid_3_in_0_1.txt -p 3 -m 1.0 \endcode \code Periodic Delaunay computed. Simplex_tree dim: 3 3 0 0 inf @@ -234,11 +223,31 @@ Simplex_tree dim: 3 3 2 0.005 inf 3 3 0.0075 inf \endcode +\li <a href="_persistent_cohomology_2weighted_periodic_alpha_complex_3d_persistence_8cpp-example.html"> +Persistent_cohomology/weighted_periodic_alpha_complex_3d_persistence.cpp</a> computes the persistent homology with +\f$\mathbb{Z}/2\mathbb{Z}\f$ coefficients of the periodic alpha complex on weighted points from an OFF file. The +additional parameters of this program are:<br> +(a) The file with the weights of points. The file consist of a sequence of numbers (as many as points). +Note that the weight of each single point have to be bounded by 1/64 times the square of the cuboid edge length.<br> +(b) A \ref FileFormatsIsoCuboid file with coordinates of the periodic cuboid. +Note that the lengths of the sides of the periodic cuboid have to be the same.<br> +\code $> ./weighted_periodic_alpha_complex_3d_persistence ../../data/points/shifted_sphere.off +../../data/points/shifted_sphere.weights ../../data/points/iso_cuboid_3_in_0_10.txt 3 1.0 \endcode +\code Weighted Periodic Delaunay computed. +Simplex_tree dim: 3 +3 0 -0.0001 inf +3 1 16.0264 inf +3 1 16.0273 inf +3 1 16.0303 inf +3 2 36.8635 inf +3 2 36.8704 inf +3 2 36.8838 inf +3 3 58.6783 inf \endcode + \li <a href="_persistent_cohomology_2plain_homology_8cpp-example.html"> Persistent_cohomology/plain_homology.cpp</a> computes the plain homology of a simple simplicial complex without filtration values. - \copyright GNU General Public License v3. */ } // namespace persistent_cohomology diff --git a/src/Persistent_cohomology/example/CMakeLists.txt b/src/Persistent_cohomology/example/CMakeLists.txt index 80e5647d..18e2913b 100644 --- a/src/Persistent_cohomology/example/CMakeLists.txt +++ b/src/Persistent_cohomology/example/CMakeLists.txt @@ -5,15 +5,6 @@ add_executable(plain_homology plain_homology.cpp) add_executable(persistence_from_simple_simplex_tree persistence_from_simple_simplex_tree.cpp) -add_executable(rips_distance_matrix_persistence rips_distance_matrix_persistence.cpp) -target_link_libraries(rips_distance_matrix_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) - -add_executable(rips_correlation_matrix_persistence rips_correlation_matrix_persistence.cpp) -target_link_libraries(rips_correlation_matrix_persistence ${Boost_SYSTEM_LIBRARY} ${Boost_PROGRAM_OPTIONS_LIBRARY}) - -add_executable(rips_persistence rips_persistence.cpp) -target_link_libraries(rips_persistence ${Boost_PROGRAM_OPTIONS_LIBRARY}) - add_executable(rips_persistence_step_by_step rips_persistence_step_by_step.cpp) target_link_libraries(rips_persistence_step_by_step ${Boost_PROGRAM_OPTIONS_LIBRARY}) @@ -26,9 +17,6 @@ target_link_libraries(persistence_from_file ${Boost_PROGRAM_OPTIONS_LIBRARY}) if (TBB_FOUND) target_link_libraries(plain_homology ${TBB_LIBRARIES}) target_link_libraries(persistence_from_simple_simplex_tree ${TBB_LIBRARIES}) - target_link_libraries(rips_distance_matrix_persistence ${TBB_LIBRARIES}) - target_link_libraries(rips_correlation_matrix_persistence ${TBB_LIBRARIES}) - target_link_libraries(rips_persistence ${TBB_LIBRARIES}) target_link_libraries(rips_persistence_step_by_step ${TBB_LIBRARIES}) target_link_libraries(rips_persistence_via_boundary_matrix ${TBB_LIBRARIES}) target_link_libraries(persistence_from_file ${TBB_LIBRARIES}) @@ -37,12 +25,6 @@ endif() add_test(NAME Persistent_cohomology_example_plain_homology COMMAND $<TARGET_FILE:plain_homology>) add_test(NAME Persistent_cohomology_example_from_simple_simplex_tree COMMAND $<TARGET_FILE:persistence_from_simple_simplex_tree> "1" "0") -add_test(NAME Persistent_cohomology_example_from_rips_distance_matrix COMMAND $<TARGET_FILE:rips_distance_matrix_persistence> - "${CMAKE_SOURCE_DIR}/data/distance_matrix/full_square_distance_matrix.csv" "-r" "1.0" "-d" "3" "-p" "3" "-m" "0") -add_test(NAME Persistent_cohomology_example_from_rips_correlation_matrix COMMAND $<TARGET_FILE:rips_correlation_matrix_persistence> - "${CMAKE_SOURCE_DIR}/data/correlation_matrix/lower_triangular_correlation_matrix.csv" "-c" "0.3" "-d" "3" "-p" "3" "-m" "0") -add_test(NAME Persistent_cohomology_example_from_rips_on_tore_3D COMMAND $<TARGET_FILE:rips_persistence> - "${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off" "-r" "0.25" "-m" "0.5" "-d" "3" "-p" "3") add_test(NAME Persistent_cohomology_example_from_rips_step_by_step_on_tore_3D COMMAND $<TARGET_FILE:rips_persistence_step_by_step> "${CMAKE_SOURCE_DIR}/data/points/tore3D_1307.off" "-r" "0.25" "-m" "0.5" "-d" "3" "-p" "3") add_test(NAME Persistent_cohomology_example_via_boundary_matrix COMMAND $<TARGET_FILE:rips_persistence_via_boundary_matrix> @@ -54,9 +36,6 @@ add_test(NAME Persistent_cohomology_example_from_file_3_3_100 COMMAND $<TARGET_F install(TARGETS plain_homology DESTINATION bin) install(TARGETS persistence_from_simple_simplex_tree DESTINATION bin) -install(TARGETS rips_distance_matrix_persistence DESTINATION bin) -install(TARGETS rips_correlation_matrix_persistence DESTINATION bin) -install(TARGETS rips_persistence DESTINATION bin) install(TARGETS rips_persistence_step_by_step DESTINATION bin) install(TARGETS rips_persistence_via_boundary_matrix DESTINATION bin) install(TARGETS persistence_from_file DESTINATION bin) @@ -76,75 +55,16 @@ if(GMP_FOUND) endif(GMP_FOUND) if(CGAL_FOUND) - add_executable(alpha_complex_3d_persistence alpha_complex_3d_persistence.cpp) - 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}) - - if (TBB_FOUND) - target_link_libraries(alpha_complex_3d_persistence ${TBB_LIBRARIES}) - target_link_libraries(exact_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") - - install(TARGETS alpha_complex_3d_persistence DESTINATION bin) - install(TARGETS exact_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}) - add_executable(custom_persistence_sort custom_persistence_sort.cpp) target_link_libraries(custom_persistence_sort ${CGAL_LIBRARY}) if (TBB_FOUND) - target_link_libraries(alpha_complex_persistence ${TBB_LIBRARIES}) - target_link_libraries(periodic_alpha_complex_3d_persistence ${TBB_LIBRARIES}) target_link_libraries(custom_persistence_sort ${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" "3" "1.0") add_test(NAME Persistent_cohomology_example_custom_persistence_sort COMMAND $<TARGET_FILE:custom_persistence_sort>) - install(TARGETS alpha_complex_persistence DESTINATION bin) - install(TARGETS periodic_alpha_complex_3d_persistence DESTINATION bin) 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) - - add_test(NAME Persistent_cohomology_example_weigted_periodic_alpha_complex_3d COMMAND $<TARGET_FILE:weighted_periodic_alpha_complex_3d_persistence> - "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.off" "${CMAKE_SOURCE_DIR}/data/points/grid_10_10_10_in_0_1.weights" - "${CMAKE_SOURCE_DIR}/data/points/iso_cuboid_3_in_0_1.txt" "3" "1.0") - - install(TARGETS weighted_periodic_alpha_complex_3d_persistence DESTINATION bin) - - endif (NOT CGAL_VERSION VERSION_LESS 4.11.0) - - add_executable(weighted_alpha_complex_3d_persistence weighted_alpha_complex_3d_persistence.cpp) - 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/README b/src/Persistent_cohomology/example/README index 794b94ae..f39d9584 100644 --- a/src/Persistent_cohomology/example/README +++ b/src/Persistent_cohomology/example/README @@ -1,43 +1,14 @@ -To build the example, run in a Terminal: +To build the examples, run in a Terminal: -cd /path-to-example/ +cd /path-to-examples/ cmake . make *********************************************************************************************************************** Example of use of RIPS: -Computation of the persistent homology with Z/2Z coefficients of the Rips complex on points -sampling a Klein bottle: - -./rips_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.5 -d 3 -p 2 - -output: -2 0 0 inf -2 1 0.0983494 inf -2 1 0.104347 inf -2 2 0.138335 inf - - -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 - - - -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 - -and the computation with Z/2Z and Z/3Z coefficients simultaneously: +Computation of the persistent homology with Z/2Z and Z/3Z coefficients simultaneously of the Rips complex +on points sampling a 3D torus: ./rips_multifield_persistence ../../data/points/tore3D_1307.off -r 0.25 -m 0.12 -d 3 -p 2 -q 3 @@ -53,7 +24,13 @@ output: 6 0 0 0.12047 6 0 0 0.120414 -and finally the computation with all Z/pZ for 2 <= p <= 71 (20 first prime numbers): +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 + +and the computation with all Z/pZ for 2 <= p <= 71 (20 first prime numbers): ./rips_multifield_persistence ../../data/points/Kl.off -r 0.25 -m 0.5 -d 3 -p 2 -q 71 @@ -70,82 +47,6 @@ output: 557940830126698960967415390 0 0 0.120414 *********************************************************************************************************************** -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 -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 - -*********************************************************************************************************************** Example of use of PLAIN HOMOLOGY: This example computes the plain homology of the following simplicial complex without filtration values: diff --git a/src/Persistent_cohomology/example/alpha_complex_3d_helper.h b/src/Persistent_cohomology/example/alpha_complex_3d_helper.h deleted file mode 100644 index 6b3b7d5d..00000000 --- a/src/Persistent_cohomology/example/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/example/alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/alpha_complex_3d_persistence.cpp deleted file mode 100644 index 26196a6f..00000000 --- a/src/Persistent_cohomology/example/alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,235 +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 <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Alpha_shape_3 templates type definitions -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; -using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel>; -using Fb = CGAL::Alpha_shape_cell_base_3<Kernel>; -using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>; -using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>; -using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>; - -// From file type definition -using Point_3 = Kernel::Point_3; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void usage(const std::string& progName) { - std::cerr << "Usage: " << progName - << " path_to_the_OFF_file coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n"; - exit(-1); -} - -int main(int argc, char* const argv[]) { - // program args management - if (argc != 4) { - std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n"; - usage(argv[0]); - } - - int coeff_field_characteristic = atoi(argv[2]); - Filtration_value min_persistence = strtof(argv[3], 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(); - - // 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; - } - -#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; -} diff --git a/src/Persistent_cohomology/example/alpha_complex_persistence.cpp b/src/Persistent_cohomology/example/alpha_complex_persistence.cpp deleted file mode 100644 index 9e84e91f..00000000 --- a/src/Persistent_cohomology/example/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/example/exact_alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/exact_alpha_complex_3d_persistence.cpp deleted file mode 100644 index 2e2bfd2f..00000000 --- a/src/Persistent_cohomology/example/exact_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,237 +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 <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Alpha_shape_3 templates type definitions -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; -using Exact_tag = CGAL::Tag_true; -using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel, CGAL::Default, Exact_tag>; -using Fb = CGAL::Alpha_shape_cell_base_3<Kernel, CGAL::Default, Exact_tag>; -using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>; -using Triangulation_3 = CGAL::Delaunay_triangulation_3<Kernel, Tds>; -using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3, Exact_tag>; - -// From file type definition -using Point_3 = Kernel::Point_3; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::list<Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void usage(const std::string& progName) { - std::cerr << "Usage: " << progName - << " path_to_the_OFF_file coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n"; - exit(-1); -} - -int main(int argc, char* const argv[]) { - // program args management - if (argc != 4) { - std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n"; - usage(argv[0]); - } - - int coeff_field_characteristic = atoi(argv[2]); - Filtration_value min_persistence = strtof(argv[3], 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(); - - // 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 - // you can also use the_alpha_value_iterator->exact() - Filtration_value filtr = /*std::sqrt*/CGAL::to_double(the_alpha_value_iterator->exact()); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - if (filtr > filtration_max) { - filtration_max = filtr; - } - simplex_tree.insert_simplex(the_simplex_tree, filtr); - if (the_alpha_value_iterator != the_alpha_values.end()) - ++the_alpha_value_iterator; - else - std::cout << "This shall not happen" << std::endl; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - pcoh.output_diagram(); - - return 0; -} diff --git a/src/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp deleted file mode 100644 index c6d3e236..00000000 --- a/src/Persistent_cohomology/example/periodic_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,257 +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(const std::string& progName) { - std::cerr << "Usage: " << progName << " path_to_the_OFF_file 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[]) { - // 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 Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { - count_vertices++; - vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex); - } - // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex - Simplex_tree_vector_vertex the_simplex_tree; - for (auto the_alpha_shape_vertex : vertex_list) { - Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex); - if (the_map_iterator == map_cgal_simplex_tree.end()) { - // alpha shape not found - Simplex_tree_vertex vertex = map_cgal_simplex_tree.size(); -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex_tree.push_back(vertex); - map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(the_alpha_shape_vertex, vertex)); - } else { - // alpha shape found - Simplex_tree_vertex vertex = the_map_iterator->second; -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex_tree.push_back(vertex); - } - } - // Construction of the simplex_tree - Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - if (filtr > filtration_max) { - filtration_max = filtr; - } - simplex_tree.insert_simplex(the_simplex_tree, filtr); - if (the_alpha_value_iterator != the_alpha_values.end()) - ++the_alpha_value_iterator; - else - std::cout << "This shall not happen" << std::endl; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - pcoh.output_diagram(); - - return 0; -} diff --git a/src/Persistent_cohomology/example/rips_distance_matrix_persistence.cpp b/src/Persistent_cohomology/example/rips_distance_matrix_persistence.cpp deleted file mode 100644 index d38808c7..00000000 --- a/src/Persistent_cohomology/example/rips_distance_matrix_persistence.cpp +++ /dev/null @@ -1,144 +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): Pawel Dlotko, Vincent Rouvreau - * - * Copyright (C) 2016 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 <gudhi/Rips_complex.h> -#include <gudhi/Simplex_tree.h> -#include <gudhi/Persistent_cohomology.h> -#include <gudhi/reader_utils.h> - -#include <boost/program_options.hpp> - -#include <string> -#include <vector> -#include <limits> // infinity - -// Types definition -using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = Simplex_tree::Filtration_value; -using Rips_complex = Gudhi::rips_complex::Rips_complex<Filtration_value>; -using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; -using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >; -using Distance_matrix = std::vector<std::vector<Filtration_value>>; - -void program_options(int argc, char * argv[] - , std::string & csv_matrix_file - , std::string & filediag - , Filtration_value & threshold - , int & dim_max - , int & p - , Filtration_value & min_persistence); - -int main(int argc, char * argv[]) { - std::string csv_matrix_file; - std::string filediag; - Filtration_value threshold; - int dim_max; - int p; - Filtration_value min_persistence; - - program_options(argc, argv, csv_matrix_file, filediag, threshold, dim_max, p, min_persistence); - - Distance_matrix distances = Gudhi::read_lower_triangular_matrix_from_csv_file<Filtration_value>(csv_matrix_file); - Rips_complex rips_complex_from_file(distances, threshold); - - // Construct the Rips complex in a Simplex Tree - Simplex_tree simplex_tree; - - rips_complex_from_file.create_complex(simplex_tree, dim_max); - std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; - std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree); - // initializes the coefficient field for homology - pcoh.init_coefficients(p); - - pcoh.compute_persistent_cohomology(min_persistence); - - // Output the diagram in filediag - if (filediag.empty()) { - pcoh.output_diagram(); - } else { - std::ofstream out(filediag); - pcoh.output_diagram(out); - out.close(); - } - return 0; -} - -void program_options(int argc, char * argv[] - , std::string & csv_matrix_file - , std::string & filediag - , Filtration_value & threshold - , int & dim_max - , int & p - , Filtration_value & min_persistence) { - namespace po = boost::program_options; - po::options_description hidden("Hidden options"); - hidden.add_options() - ("input-file", po::value<std::string>(&csv_matrix_file), - "Name of file containing a distance matrix. Can be square or lower triangular matrix. Separator is ';'."); - - po::options_description visible("Allowed options", 100); - visible.add_options() - ("help,h", "produce help message") - ("output-file,o", po::value<std::string>(&filediag)->default_value(std::string()), - "Name of file in which the persistence diagram is written. Default print in std::cout") - ("max-edge-length,r", - po::value<Filtration_value>(&threshold)->default_value(std::numeric_limits<Filtration_value>::infinity()), - "Maximal length of an edge for the Rips complex construction.") - ("cpx-dimension,d", po::value<int>(&dim_max)->default_value(1), - "Maximal dimension of the Rips complex we want to compute.") - ("field-charac,p", po::value<int>(&p)->default_value(11), - "Characteristic p of the coefficient field Z/pZ for computing homology.") - ("min-persistence,m", po::value<Filtration_value>(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); - - po::positional_options_description pos; - pos.add("input-file", 1); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv). - options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; - std::cout << "of a Rips complex defined on a set of distance matrix.\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/example/rips_persistence.cpp b/src/Persistent_cohomology/example/rips_persistence.cpp deleted file mode 100644 index d504798b..00000000 --- a/src/Persistent_cohomology/example/rips_persistence.cpp +++ /dev/null @@ -1,147 +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): Clément Maria - * - * 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 <gudhi/Rips_complex.h> -#include <gudhi/distance_functions.h> -#include <gudhi/Simplex_tree.h> -#include <gudhi/Persistent_cohomology.h> -#include <gudhi/Points_off_io.h> - -#include <boost/program_options.hpp> - -#include <string> -#include <vector> -#include <limits> // infinity - -// Types definition -using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = Simplex_tree::Filtration_value; -using Rips_complex = Gudhi::rips_complex::Rips_complex<Filtration_value>; -using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; -using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >; -using Point = std::vector<double>; -using Points_off_reader = Gudhi::Points_off_reader<Point>; - -void program_options(int argc, char * argv[] - , std::string & off_file_points - , std::string & filediag - , Filtration_value & threshold - , int & dim_max - , int & p - , Filtration_value & min_persistence); - -int main(int argc, char * argv[]) { - std::string off_file_points; - std::string filediag; - Filtration_value threshold; - int dim_max; - int p; - Filtration_value min_persistence; - - program_options(argc, argv, off_file_points, filediag, threshold, dim_max, p, min_persistence); - - Points_off_reader off_reader(off_file_points); - Rips_complex rips_complex_from_file(off_reader.get_point_cloud(), threshold, Gudhi::Euclidean_distance()); - - // Construct the Rips complex in a Simplex Tree - Simplex_tree simplex_tree; - - rips_complex_from_file.create_complex(simplex_tree, dim_max); - std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices \n"; - std::cout << " and has dimension " << simplex_tree.dimension() << " \n"; - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree); - // initializes the coefficient field for homology - pcoh.init_coefficients(p); - - pcoh.compute_persistent_cohomology(min_persistence); - - // Output the diagram in filediag - if (filediag.empty()) { - pcoh.output_diagram(); - } else { - std::ofstream out(filediag); - pcoh.output_diagram(out); - out.close(); - } - - return 0; -} - -void program_options(int argc, char * argv[] - , std::string & off_file_points - , std::string & filediag - , Filtration_value & threshold - , int & dim_max - , int & p - , 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 an OFF file containing a point set.\n"); - - po::options_description visible("Allowed options", 100); - visible.add_options() - ("help,h", "produce help message") - ("output-file,o", po::value<std::string>(&filediag)->default_value(std::string()), - "Name of file in which the persistence diagram is written. Default print in std::cout") - ("max-edge-length,r", - po::value<Filtration_value>(&threshold)->default_value(std::numeric_limits<Filtration_value>::infinity()), - "Maximal length of an edge for the Rips complex construction.") - ("cpx-dimension,d", po::value<int>(&dim_max)->default_value(1), - "Maximal dimension of the Rips complex we want to compute.") - ("field-charac,p", po::value<int>(&p)->default_value(11), - "Characteristic p of the coefficient field Z/pZ for computing homology.") - ("min-persistence,m", po::value<Filtration_value>(&min_persistence), - "Minimal lifetime of homology feature to be recorded. Default is 0. Enter a negative value to see zero length intervals"); - - po::positional_options_description pos; - pos.add("input-file", 1); - - po::options_description all; - all.add(visible).add(hidden); - - po::variables_map vm; - po::store(po::command_line_parser(argc, argv). - options(all).positional(pos).run(), vm); - po::notify(vm); - - if (vm.count("help") || !vm.count("input-file")) { - std::cout << std::endl; - std::cout << "Compute the persistent homology with coefficient field Z/pZ \n"; - std::cout << "of a Rips 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/example/rips_persistence_step_by_step.cpp b/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp index 554eeba6..c1de0ef8 100644 --- a/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp +++ b/src/Persistent_cohomology/example/rips_persistence_step_by_step.cpp @@ -45,14 +45,7 @@ using Simplex_tree = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; using Vertex_handle = Simplex_tree::Vertex_handle; using Filtration_value = Simplex_tree::Filtration_value; -using Graph_t = boost::adjacency_list < boost::vecS, boost::vecS, boost::undirectedS -, boost::property < vertex_filtration_t, Filtration_value > -, boost::property < edge_filtration_t, Filtration_value > ->; -using Edge_t = std::pair< Vertex_handle, Vertex_handle >; - -template< typename InputPointRange, typename Distance > -Graph_t compute_proximity_graph(InputPointRange &points, Filtration_value threshold, Distance distance); +using Proximity_graph = Gudhi::Proximity_graph<Simplex_tree>; using Field_Zp = Gudhi::persistent_cohomology::Field_Zp; using Persistent_cohomology = Gudhi::persistent_cohomology::Persistent_cohomology<Simplex_tree, Field_Zp >; @@ -81,8 +74,9 @@ int main(int argc, char * argv[]) { Points_off_reader off_reader(off_file_points); // Compute the proximity graph of the points - Graph_t prox_graph = compute_proximity_graph(off_reader.get_point_cloud(), threshold - , Gudhi::Euclidean_distance()); + Proximity_graph prox_graph = Gudhi::compute_proximity_graph<Simplex_tree>(off_reader.get_point_cloud(), + threshold, + Gudhi::Euclidean_distance()); // Construct the Rips complex in a Simplex Tree Simplex_tree st; @@ -170,48 +164,3 @@ void program_options(int argc, char * argv[] std::abort(); } } - -/** Output the proximity graph of the points. - * - * If points contains n elements, the proximity graph is the graph - * with n vertices, and an edge [u,v] iff the distance function between - * points u and v is smaller than threshold. - * - * The type PointCloud furnishes .begin() and .end() methods, that return - * iterators with value_type Point. - */ -template< typename InputPointRange, typename Distance > -Graph_t compute_proximity_graph(InputPointRange &points, Filtration_value threshold, Distance distance) { - std::vector< Edge_t > edges; - std::vector< Filtration_value > edges_fil; - - Vertex_handle idx_u, idx_v; - Filtration_value fil; - idx_u = 0; - for (auto it_u = points.begin(); it_u != points.end(); ++it_u) { - idx_v = idx_u + 1; - for (auto it_v = it_u + 1; it_v != points.end(); ++it_v, ++idx_v) { - fil = distance(*it_u, *it_v); - if (fil <= threshold) { - edges.emplace_back(idx_u, idx_v); - edges_fil.push_back(fil); - } - } - ++idx_u; - } - - Graph_t skel_graph(edges.begin() - , edges.end() - , edges_fil.begin() - , idx_u); // number of points labeled from 0 to idx_u-1 - - auto vertex_prop = boost::get(vertex_filtration_t(), skel_graph); - - boost::graph_traits<Graph_t>::vertex_iterator vi, vi_end; - for (std::tie(vi, vi_end) = boost::vertices(skel_graph); - vi != vi_end; ++vi) { - boost::put(vertex_prop, *vi, 0.); - } - - return skel_graph; -} diff --git a/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp b/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp deleted file mode 100644 index 249a7ece..00000000 --- a/src/Persistent_cohomology/example/weighted_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,282 +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/config.h> -#include <CGAL/Exact_predicates_inexact_constructions_kernel.h> -#include <CGAL/Regular_triangulation_3.h> -#include <CGAL/Alpha_shape_3.h> -#include <CGAL/iterator.h> - -// For CGAL < 4.11 -#if CGAL_VERSION_NR < 1041100000 -#include <CGAL/Regular_triangulation_euclidean_traits_3.h> -#endif // CGAL_VERSION_NR < 1041100000 - -#include <fstream> -#include <cmath> -#include <string> -#include <tuple> -#include <map> -#include <utility> -#include <list> -#include <vector> -#include <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Alpha_shape_3 templates type definitions -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; - -// For CGAL < 4.11 -#if CGAL_VERSION_NR < 1041100000 -using Gt = CGAL::Regular_triangulation_euclidean_traits_3<Kernel>; -using Vb = CGAL::Alpha_shape_vertex_base_3<Gt>; -using Fb = CGAL::Alpha_shape_cell_base_3<Gt>; -using Tds = CGAL::Triangulation_data_structure_3<Vb, Fb>; -using Triangulation_3 = CGAL::Regular_triangulation_3<Gt, Tds>; - -// From file type definition -using Point_3 = Gt::Bare_point; -using Weighted_point_3 = Gt::Weighted_point; - -// For CGAL >= 4.11 -#else // CGAL_VERSION_NR < 1041100000 -using Rvb = CGAL::Regular_triangulation_vertex_base_3<Kernel>; -using Vb = CGAL::Alpha_shape_vertex_base_3<Kernel,Rvb>; -using Rcb = CGAL::Regular_triangulation_cell_base_3<Kernel>; -using Cb = CGAL::Alpha_shape_cell_base_3<Kernel,Rcb>; -using Tds = CGAL::Triangulation_data_structure_3<Vb,Cb>; -using Triangulation_3 = CGAL::Regular_triangulation_3<Kernel,Tds>; - -// From file type definition -using Point_3 = Triangulation_3::Bare_point; -using Weighted_point_3 = Triangulation_3::Weighted_point; -#endif // CGAL_VERSION_NR < 1041100000 - -using Alpha_shape_3 = CGAL::Alpha_shape_3<Triangulation_3>; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void usage(const std::string& progName) { - std::cerr << "Usage: " << progName << " path_to_the_OFF_file path_to_weight_file 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; - } - -#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; -} 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 deleted file mode 100644 index 13634ff7..00000000 --- a/src/Persistent_cohomology/example/weighted_periodic_alpha_complex_3d_persistence.cpp +++ /dev/null @@ -1,281 +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_regular_triangulation_traits_3.h> -#include <CGAL/Periodic_3_regular_triangulation_3.h> -#include <CGAL/Alpha_shape_3.h> -#include <CGAL/iterator.h> - -#include <fstream> -#include <cmath> -#include <string> -#include <tuple> -#include <map> -#include <utility> -#include <list> -#include <vector> -#include <cstdlib> - -#include "alpha_complex_3d_helper.h" - -// Traits -using Kernel = CGAL::Exact_predicates_inexact_constructions_kernel; -using PK = CGAL::Periodic_3_regular_triangulation_traits_3<Kernel>; - -// Vertex type -using DsVb = CGAL::Periodic_3_triangulation_ds_vertex_base_3<>; -using Vb = CGAL::Regular_triangulation_vertex_base_3<PK,DsVb>; -using AsVb = CGAL::Alpha_shape_vertex_base_3<PK,Vb>; -// Cell type -using DsCb = CGAL::Periodic_3_triangulation_ds_cell_base_3<>; -using Cb = CGAL::Regular_triangulation_cell_base_3<PK,DsCb>; -using AsCb = CGAL::Alpha_shape_cell_base_3<PK,Cb>; -using Tds = CGAL::Triangulation_data_structure_3<AsVb,AsCb>; -using P3RT3 = CGAL::Periodic_3_regular_triangulation_3<PK,Tds>; -using Alpha_shape_3 = CGAL::Alpha_shape_3<P3RT3>; - -using Point_3 = P3RT3::Bare_point; -using Weighted_point_3 = P3RT3::Weighted_point; - -// filtration with alpha values needed type definition -using Alpha_value_type = Alpha_shape_3::FT; -using Object = CGAL::Object; -using Dispatch = - CGAL::Dispatch_output_iterator<CGAL::cpp11::tuple<Object, Alpha_value_type>, - CGAL::cpp11::tuple<std::back_insert_iterator<std::vector<Object> >, - std::back_insert_iterator<std::vector<Alpha_value_type> > > >; -using Cell_handle = Alpha_shape_3::Cell_handle; -using Facet = Alpha_shape_3::Facet; -using Edge_3 = Alpha_shape_3::Edge; -using Vertex_handle = Alpha_shape_3::Vertex_handle; -using Vertex_list = std::list<Alpha_shape_3::Vertex_handle>; - -// gudhi type definition -using ST = Gudhi::Simplex_tree<Gudhi::Simplex_tree_options_fast_persistence>; -using Filtration_value = ST::Filtration_value; -using Simplex_tree_vertex = ST::Vertex_handle; -using Alpha_shape_simplex_tree_map = std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Alpha_shape_simplex_tree_pair = std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex>; -using Simplex_tree_vector_vertex = std::vector<Simplex_tree_vertex>; -using Persistent_cohomology = - Gudhi::persistent_cohomology::Persistent_cohomology<ST, Gudhi::persistent_cohomology::Field_Zp>; - -void usage(const std::string& progName) { - std::cerr << "Usage: " << progName << " path_to_the_OFF_file path_to_weight_file path_to_the_cuboid_file " - "coeff_field_characteristic[integer > 0] min_persistence[float >= -1.0]\n"; - exit(-1); -} - -int main(int argc, char* const argv[]) { - // program args management - if (argc != 6) { - std::cerr << "Error: Number of arguments (" << argc << ") is not correct\n"; - usage(argv[0]); - } - - int coeff_field_characteristic = atoi(argv[4]); - Filtration_value min_persistence = strtof(argv[5], nullptr); - - // Read points from file - std::string offInputFile(argv[1]); - // Read the OFF file (input file name given as parameter) and triangulate points - Gudhi::Points_3D_off_reader<Point_3> off_reader(offInputFile); - // Check the read operation was correct - if (!off_reader.is_valid()) { - std::cerr << "Unable to read file " << offInputFile << std::endl; - usage(argv[0]); - } - - // Retrieve the triangulation - std::vector<Point_3> lp = off_reader.get_point_cloud(); - - // Read weights information from file - std::ifstream weights_ifstr(argv[2]); - std::vector<Weighted_point_3> wp; - if (weights_ifstr.good()) { - double weight = 0.0; - std::size_t index = 0; - wp.reserve(lp.size()); - // Attempt read the weight in a double format, return false if it fails - while ((weights_ifstr >> weight) && (index < lp.size())) { - wp.push_back(Weighted_point_3(lp[index], weight)); - index++; - } - if (index != lp.size()) { - std::cerr << "Bad number of weights in file " << argv[2] << std::endl; - usage(argv[0]); - } - } else { - std::cerr << "Unable to read file " << argv[2] << std::endl; - usage(argv[0]); - } - - // Read iso_cuboid_3 information from file - std::ifstream iso_cuboid_str(argv[3]); - double x_min, y_min, z_min, x_max, y_max, z_max; - if (iso_cuboid_str.good()) { - iso_cuboid_str >> x_min >> y_min >> z_min >> x_max >> y_max >> z_max; - } else { - std::cerr << "Unable to read file " << argv[3] << std::endl; - usage(argv[0]); - } - - // Define the periodic cube - P3RT3 prt(PK::Iso_cuboid_3(x_min, y_min, z_min, x_max, y_max, z_max)); - // Heuristic for inserting large point sets (if pts is reasonably large) - prt.insert(wp.begin(), wp.end(), true); - // As prt won't be modified anymore switch to 1-sheeted cover if possible - if (prt.is_triangulation_in_1_sheet()) prt.convert_to_1_sheeted_covering(); - std::cout << "Periodic Delaunay computed." << std::endl; - - // alpha shape construction from points. CGAL has a strange behavior in REGULARIZED mode. This is the default mode - // Maybe need to set it to GENERAL mode - Alpha_shape_3 as(prt, 0, Alpha_shape_3::GENERAL); - - // filtration with alpha values from alpha shape - std::vector<Object> the_objects; - std::vector<Alpha_value_type> the_alpha_values; - - Dispatch disp = CGAL::dispatch_output<Object, Alpha_value_type>(std::back_inserter(the_objects), - std::back_inserter(the_alpha_values)); - - as.filtration_with_alpha_values(disp); -#ifdef DEBUG_TRACES - std::cout << "filtration_with_alpha_values returns : " << the_objects.size() << " objects" << std::endl; -#endif // DEBUG_TRACES - - Alpha_shape_3::size_type count_vertices = 0; - Alpha_shape_3::size_type count_edges = 0; - Alpha_shape_3::size_type count_facets = 0; - Alpha_shape_3::size_type count_cells = 0; - - // Loop on objects vector - Vertex_list vertex_list; - ST simplex_tree; - Alpha_shape_simplex_tree_map map_cgal_simplex_tree; - std::vector<Alpha_value_type>::iterator the_alpha_value_iterator = the_alpha_values.begin(); - int dim_max = 0; - Filtration_value filtration_max = 0.0; - for (auto object_iterator : the_objects) { - // Retrieve Alpha shape vertex list from object - if (const Cell_handle* cell = CGAL::object_cast<Cell_handle>(&object_iterator)) { - vertex_list = from_cell<Vertex_list, Cell_handle>(*cell); - count_cells++; - if (dim_max < 3) { - // Cell is of dim 3 - dim_max = 3; - } - } else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator)) { - vertex_list = from_facet<Vertex_list, Facet>(*facet); - count_facets++; - if (dim_max < 2) { - // Facet is of dim 2 - dim_max = 2; - } - } else if (const Edge_3* edge = CGAL::object_cast<Edge_3>(&object_iterator)) { - vertex_list = from_edge<Vertex_list, Edge_3>(*edge); - count_edges++; - if (dim_max < 1) { - // Edge_3 is of dim 1 - dim_max = 1; - } - } else if (const Vertex_handle* vertex = CGAL::object_cast<Vertex_handle>(&object_iterator)) { - count_vertices++; - vertex_list = from_vertex<Vertex_list, Vertex_handle>(*vertex); - } - // Construction of the vector of simplex_tree vertex from list of alpha_shapes vertex - Simplex_tree_vector_vertex the_simplex_tree; - for (auto the_alpha_shape_vertex : vertex_list) { - Alpha_shape_simplex_tree_map::iterator the_map_iterator = map_cgal_simplex_tree.find(the_alpha_shape_vertex); - if (the_map_iterator == map_cgal_simplex_tree.end()) { - // alpha shape not found - Simplex_tree_vertex vertex = map_cgal_simplex_tree.size(); -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] not found - insert " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex_tree.push_back(vertex); - map_cgal_simplex_tree.insert(Alpha_shape_simplex_tree_pair(the_alpha_shape_vertex, vertex)); - } else { - // alpha shape found - Simplex_tree_vertex vertex = the_map_iterator->second; -#ifdef DEBUG_TRACES - std::cout << "vertex [" << the_alpha_shape_vertex->point() << "] found in " << vertex << std::endl; -#endif // DEBUG_TRACES - the_simplex_tree.push_back(vertex); - } - } - // Construction of the simplex_tree - Filtration_value filtr = /*std::sqrt*/ (*the_alpha_value_iterator); -#ifdef DEBUG_TRACES - std::cout << "filtration = " << filtr << std::endl; -#endif // DEBUG_TRACES - if (filtr > filtration_max) { - filtration_max = filtr; - } - simplex_tree.insert_simplex(the_simplex_tree, filtr); - if (the_alpha_value_iterator != the_alpha_values.end()) - ++the_alpha_value_iterator; - else - std::cout << "This shall not happen" << std::endl; - } - -#ifdef DEBUG_TRACES - std::cout << "vertices \t\t" << count_vertices << std::endl; - std::cout << "edges \t\t" << count_edges << std::endl; - std::cout << "facets \t\t" << count_facets << std::endl; - std::cout << "cells \t\t" << count_cells << std::endl; - - std::cout << "Information of the Simplex Tree: " << std::endl; - std::cout << " Number of vertices = " << simplex_tree.num_vertices() << " "; - std::cout << " Number of simplices = " << simplex_tree.num_simplices() << std::endl << std::endl; - std::cout << " Dimension = " << simplex_tree.dimension() << " "; -#endif // DEBUG_TRACES - -#ifdef DEBUG_TRACES - std::cout << "Iterator on vertices: " << std::endl; - for (auto vertex : simplex_tree.complex_vertex_range()) { - std::cout << vertex << " "; - } -#endif // DEBUG_TRACES - - // Sort the simplices in the order of the filtration - simplex_tree.initialize_filtration(); - - std::cout << "Simplex_tree dim: " << simplex_tree.dimension() << std::endl; - // Compute the persistence diagram of the complex - Persistent_cohomology pcoh(simplex_tree, true); - // initializes the coefficient field for homology - pcoh.init_coefficients(coeff_field_characteristic); - - pcoh.compute_persistent_cohomology(min_persistence); - - pcoh.output_diagram(); - - return 0; -} |