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authorvrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2014-12-05 13:32:54 +0000
committervrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2014-12-05 13:32:54 +0000
commit425b462d361286822ee0ed7b5fe00881ba312ea3 (patch)
treee8f641a8604418882b916573cf32c87b78d33472
parent952b77f3b1e2415602d5d9ffc2fb7ff45cc3edc4 (diff)
Moved into trunk
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@341 636b058d-ea47-450e-bf9e-a15bfbe3eedb
-rw-r--r--CMakeLists.txt46
-rw-r--r--COPYING674
-rw-r--r--Conventions.txt75
-rw-r--r--README11
-rw-r--r--Version.txt1
-rw-r--r--biblio/bibliography.bib831
-rwxr-xr-xdata/meshes/SO3_10000.off10003
-rwxr-xr-xdata/meshes/SO3_50000.off50003
-rw-r--r--data/meshes/min_cube3D_8.off16
-rw-r--r--data/meshes/sphere2D_80.off82
-rwxr-xr-xdata/meshes/sphere3D_2646.off2649
-rwxr-xr-xdata/meshes/tore3D_1307.off1309
-rw-r--r--data/points/Kl.txt10000
-rw-r--r--data/points/Klein_bottle_complex.txt55
-rw-r--r--data/points/bunny_1011
-rw-r--r--data/points/bunny_10001001
-rw-r--r--data/points/bunny_50005001
-rw-r--r--scripts/generate_version.sh106
-rw-r--r--src/CMakeLists.txt27
-rw-r--r--src/Contraction/example/CMakeLists.txt6
-rw-r--r--src/Contraction/example/Rips_contraction.cpp100
-rw-r--r--src/Contraction/include/gudhi/Contraction/CGAL_queue/Modifiable_priority_queue.h91
-rw-r--r--src/Contraction/include/gudhi/Contraction/Edge_profile.h115
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Contraction_visitor.h83
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Cost_policy.h32
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Dummy_valid_contraction.h34
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Edge_length_cost.h41
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/First_vertex_placement.h39
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Link_condition_valid_contraction.h36
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Middle_placement.h35
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Placement_policy.h29
-rw-r--r--src/Contraction/include/gudhi/Contraction/policies/Valid_contraction_policy.h27
-rw-r--r--src/Contraction/include/gudhi/Edge_contraction.h23
-rw-r--r--src/Contraction/include/gudhi/Skeleton_blocker_contractor.h634
-rw-r--r--src/Contraction/test/CMakeLists.txt6
-rw-r--r--src/Contraction/test/TestContraction.cpp186
-rw-r--r--src/Doxyfile2303
-rw-r--r--src/Hasse_complex/include/gudhi/Hasse_complex.h219
-rw-r--r--src/Persistent_cohomology/concept/CoefficientField.h52
-rw-r--r--src/Persistent_cohomology/concept/FilteredComplex.h143
-rw-r--r--src/Persistent_cohomology/concept/PersistentHomology.h41
-rw-r--r--src/Persistent_cohomology/example/CMakeLists.txt22
-rw-r--r--src/Persistent_cohomology/example/README47
-rw-r--r--src/Persistent_cohomology/example/performance_rips_persistence.cpp168
-rw-r--r--src/Persistent_cohomology/example/rips_multifield_persistence.cpp152
-rw-r--r--src/Persistent_cohomology/example/rips_persistence.cpp146
-rw-r--r--src/Persistent_cohomology/example/rips_persistence_from_alpha_shape_3.cpp140
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h772
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h106
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h167
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h153
-rw-r--r--src/Simplex_tree/concept/FiltrationValue.h35
-rw-r--r--src/Simplex_tree/concept/IndexingTag.h30
-rw-r--r--src/Simplex_tree/concept/SimplexKey.h28
-rw-r--r--src/Simplex_tree/concept/VertexHandle.h26
-rw-r--r--src/Simplex_tree/example/CMakeLists.txt22
-rw-r--r--src/Simplex_tree/example/README73
-rw-r--r--src/Simplex_tree/example/simple_simplex_tree.cpp302
-rw-r--r--src/Simplex_tree/example/simplex_tree_from_alpha_shapes_3.cpp284
-rw-r--r--src/Simplex_tree/example/simplex_tree_from_file.cpp104
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree.h810
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h287
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h104
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h129
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h34
-rw-r--r--src/Simplex_tree/test/CMakeLists.txt11
-rw-r--r--src/Simplex_tree/test/README12
-rw-r--r--src/Simplex_tree/test/UnitTestSimplexTree.cpp400
-rw-r--r--src/Simplex_tree/test/simplex_tree_for_unit_test.txt143353
-rw-r--r--src/Skeleton_blocker/concept/SkeletonBlockerDS.h127
-rw-r--r--src/Skeleton_blocker/concept/SkeletonBlockerGeometricDS.h65
-rw-r--r--src/Skeleton_blocker/doc/SkeletonBlockerMainPage.h156
-rw-r--r--src/Skeleton_blocker/example/CMakeLists.txt7
-rw-r--r--src/Skeleton_blocker/example/Skeleton_blocker_iteration.cpp73
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker.h24
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_complex_visitor.h113
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h68
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_off_io.h108
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_geometric_traits.h66
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h142
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h375
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h295
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/internal/Top_faces.h53
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_blockers_iterators.h120
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_edges_iterators.h153
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_iterators.h21
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_simplices_iterators.h412
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_triangles_iterators.h224
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_vertices_iterators.h168
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker_complex.h1422
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker_geometric_complex.h118
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker_link_complex.h275
-rw-r--r--src/Skeleton_blocker/include/gudhi/Skeleton_blocker_simplifiable_complex.h525
-rw-r--r--src/Skeleton_blocker/test/CMakeLists.txt7
-rw-r--r--src/Skeleton_blocker/test/TestSimplifiable.cpp281
-rw-r--r--src/Skeleton_blocker/test/TestSkeletonBlockerComplex.cpp773
-rw-r--r--src/cmake/modules/FindGMP.cmake56
-rw-r--r--src/cmake/modules/FindGMPXX.cmake44
-rw-r--r--src/common/doc/main_page.h52
-rw-r--r--src/common/include/gudhi/Clock.h67
-rw-r--r--src/common/include/gudhi/Off_reader.h177
-rw-r--r--src/common/include/gudhi/Test.h85
-rw-r--r--src/common/include/gudhi/Utils.h34
-rw-r--r--src/common/include/gudhi/distance_functions.h37
-rw-r--r--src/common/include/gudhi/graph_simplicial_complex.h96
-rw-r--r--src/common/include/gudhi/iofile.h236
-rw-r--r--src/common/include/gudhi/reader_utils.h181
107 files changed, 241329 insertions, 0 deletions
diff --git a/CMakeLists.txt b/CMakeLists.txt
new file mode 100644
index 00000000..1862ccf8
--- /dev/null
+++ b/CMakeLists.txt
@@ -0,0 +1,46 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHI)
+
+#find_package(Boost 1.45.0 COMPONENTS system filesystem unit_test_framework chrono timer)
+find_package(Boost REQUIRED COMPONENTS system filesystem unit_test_framework chrono timer REQUIRED)
+
+set(CMAKE_PREFIX_PATH "${CMAKE_SOURCE_DIR}/src/cmake/modules/")
+set(CMAKE_MODULE_PATH "${CMAKE_SOURCE_DIR}/src/cmake/modules/")
+message("CMAKE_PREFIX_PATH = ${CMAKE_PREFIX_PATH}")
+message("CMAKE_MODULE_PATH = ${CMAKE_MODULE_PATH}")
+
+if(MSVC)
+ # Turn off some VC++ warnings
+ SET (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4267 /wd4668 /wd4311 /wd4800 /wd4820 /wd4503 /wd4244 /wd4345 /wd4996 /wd4396 /wd4018")
+else()
+ set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -O2 -std=c++11 -Wall -Wpedantic -lboost_system -lboost_unit_test_framework -lgmpxx -lgmp")
+ set(CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG} -g -O0")
+ set(CMAKE_CXX_FLAGS_RELEASE "${CMAKE_CXX_FLAGS_RELEASE}")
+endif()
+
+# BOOST ISSUE result_of vs C++11
+add_definitions(-DBOOST_RESULT_OF_USE_DECLTYPE)
+
+find_package(Boost)
+find_package(GMP)
+find_package(GMPXX)
+find_package(CGAL)
+
+if(NOT Boost_FOUND)
+ message(FATAL_ERROR "NOTICE: This demo requires Boost and will not be compiled.")
+else()
+ INCLUDE_DIRECTORIES(${Boost_INCLUDE_DIRS})
+ LINK_DIRECTORIES(${Boost_LIBRARY_DIRS})
+ include_directories(src/common/include/)
+ include_directories(src/Contraction/include/)
+ include_directories(src/Hasse_complex/include/)
+ include_directories(src/Persistent_cohomology/include/)
+ include_directories(src/Simplex_tree/include/)
+ include_directories(src/Skeleton_blocker/include/)
+
+ add_subdirectory(src/Simplex_tree/test)
+ add_subdirectory(src/Simplex_tree/example)
+ add_subdirectory(src/Persistent_cohomology/example)
+ add_subdirectory(src/Skeleton_blocker/example)
+ add_subdirectory(src/Contraction/example)
+endif()
diff --git a/COPYING b/COPYING
new file mode 100644
index 00000000..20d40b6b
--- /dev/null
+++ b/COPYING
@@ -0,0 +1,674 @@
+ GNU GENERAL PUBLIC LICENSE
+ Version 3, 29 June 2007
+
+ Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/>
+ Everyone is permitted to copy and distribute verbatim copies
+ of this license document, but changing it is not allowed.
+
+ Preamble
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+software and other kinds of works.
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+ The licenses for most software and other practical works are designed
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+ 17. Interpretation of Sections 15 and 16.
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+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
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+ END OF TERMS AND CONDITIONS
+
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+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
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+ it under the terms of the GNU General Public License as published by
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+ (at your option) any later version.
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+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+ You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+<http://www.gnu.org/licenses/>.
+
+ The GNU General Public License does not permit incorporating your program
+into proprietary programs. If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library. If this is what you want to do, use the GNU Lesser General
+Public License instead of this License. But first, please read
+<http://www.gnu.org/philosophy/why-not-lgpl.html>. \ No newline at end of file
diff --git a/Conventions.txt b/Conventions.txt
new file mode 100644
index 00000000..f7d6831e
--- /dev/null
+++ b/Conventions.txt
@@ -0,0 +1,75 @@
+Please read this convention before adding your package(s) into Gudhi library.
+
+
+Compilation:
+*********************
+CMake is used for compilation purpose.
+
+
+
+Naming conventions:
+*********************
+
+All headers are named *.h and all sources are named *.cpp.
+Concepts are named with camel case starting with uppercase that is "PersistentHomology.h"
+for instance for the concept of Persitence homology.
+Classes and methods are named with underscore separator that is :
+- "Skeleton_blocker_contractor.h" for the class Skeleton_blocker_contractor
+- "int num_vertices() const" for a method
+
+
+Package organization:
+*********************
+The Gudhi directories are organised by 2 manners (Internal for svn developpers and User for external User/Developper).
+
+Internal:
+--------
+
+src/common/concept/common_concept.h
+ doc/MainPage.h
+ include/gudhi/io.h
+ ....h
+ package1/concept/package1_concept1.h
+ ....h
+ doc/Intro_package.h
+ include/gudhi/*.h
+ source/*.cpp
+ test/*.cpp
+ CMakeLists.txt
+ example/*.cpp
+ CMakeLists.txt
+ package2/...
+ ...
+ cmake/modules/*.cmake
+
+data/points/kl.txt
+ sphere_3D.txt
+ ....txt
+ meshes/sphere.off
+ Paris.off
+scripts/generate_version.sh
+ ....sh
+ ....py
+Doxyfile
+CMakeLists.txt
+Version.txt
+Conventions.txt
+README
+COPYING
+
+User:
+--------
+
+include/gudhi/*.h
+source/*.cpp
+example/package1/*.cpp
+ CMakeLists.txt
+ package2/*.cpp
+ CMakeLists.txt
+ ...
+cmake/modules/*.cmake
+CMakeLists.txt
+Version.txt
+Conventions.txt
+README
+COPYING
diff --git a/README b/README
new file mode 100644
index 00000000..2bbe5d14
--- /dev/null
+++ b/README
@@ -0,0 +1,11 @@
+The Gudhi library is release under the GNU GENERAL PUBLIC LICENSE Version 3. A
+copy of the licence may be found in the file COPYING.
+
+
+To build the library, run in a Terminal:
+
+cd /path-to-gudhi/
+mkdir build
+cd build/
+cmake ..
+make
diff --git a/Version.txt b/Version.txt
new file mode 100644
index 00000000..21e8796a
--- /dev/null
+++ b/Version.txt
@@ -0,0 +1 @@
+1.0.3
diff --git a/biblio/bibliography.bib b/biblio/bibliography.bib
new file mode 100644
index 00000000..eec8c14f
--- /dev/null
+++ b/biblio/bibliography.bib
@@ -0,0 +1,831 @@
+@inproceedings{gudhilibrary_ICMS14,
+ author = {Cl\'ement Maria and Jean-Daniel Boissonnat and
+ Marc Glisse and Mariette Yvinec},
+ title = {The {G}udhi Library: Simplicial Complexes and Persistent Homology},
+ booktitle = {ICMS},
+ year = {2014},
+}
+
+@inproceedings{zigzag_reflection,
+ author = {Jean-Daniel Boissonnat and Cl\'ement Maria and Steve Oudot},
+ title = {Zigzag Persistent Homology Algorithm via Reflections},
+ year = {2014 $\ \ \ \ \ \ \ \ \ \ \ $ \emph{In Preparation}},
+}
+
+@misc{gudhi_stpcoh,
+ author = {Cl\'ement Maria},
+ title = "\textsc{Gudhi}, Simplex Tree and Persistent Cohomology Packages",
+ note = "\href{https://project.inria.fr/gudhi/software/}{\url{https://project.inria.fr/gudhi/software/}}"
+}
+
+%ARTICLES
+%------------------------------------------------------------------
+@article{boissonnatmariasimplextreealgorithmica,
+year={2014},
+issn={0178-4617},
+journal={Algorithmica},
+doi={10.1007/s00453-014-9887-3},
+title={\href{http://dx.doi.org/10.1007/s00453-014-9887-3}{The Simplex Tree: An Efficient Data Structure for General Simplicial Complexes}},
+publisher={Springer US},
+keywords={Simplicial complexes; Data structure; Computational topology; Flag complexes; Witness complexes},
+author={Boissonnat, Jean-Daniel and Maria, Cl\'ement},
+pages={1-22},
+language={English}
+}
+
+@article{boissonnatmariacamalgorithmica,
+journal={Submitted to Algorithmica},
+title={The Compressed Annotation Matrix: An Efficient Data Structure for Computing Persistent Cohomology},
+author={Jean-Daniel Boissonnat and Tamal K. Dey and Cl{\'e}ment Maria},
+language={English},
+}
+
+@inproceedings{DBLP:conf/esa/BoissonnatDM13,
+ author = {Jean-Daniel Boissonnat and
+ Tamal K. Dey and
+ Cl{\'e}ment Maria},
+ title = {\href{http://dx.doi.org/10.1007/978-3-642-40450-4_59}{The Compressed Annotation Matrix: An Efficient Data Structure
+ for Computing Persistent Cohomology}},
+ booktitle = {ESA},
+ year = {2013},
+ pages = {695-706},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@inproceedings{boissonnatmariaesa2014,
+ author = {Jean-Daniel Boissonnat and
+ Cl{\'e}ment Maria},
+ title = {Computing Persistent Homology with Various Coefficient Fields in a Single Pass},
+ booktitle = {ESA},
+ year = {2014}
+}
+
+@inproceedings{DBLP:conf/esa/BoissonnatM12,
+ author = {Jean-Daniel Boissonnat and
+ Cl{\'e}ment Maria},
+ title = {\href{http://dx.doi.org/10.1007/978-3-642-33090-2_63}{The Simplex Tree: An Efficient Data Structure for General
+ Simplicial Complexes}},
+ booktitle = {ESA},
+ year = {2012},
+ pages = {731-742},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+
+%% hal-00922572, version 2
+%% http://hal.inria.fr/hal-00922572
+@techreport{boissonnat:hal-00922572,
+ hal_id = {hal-00922572},
+ url = {http://hal.inria.fr/hal-00922572},
+ title = {\href{http://hal.inria.fr/hal-00922572}{Computing Persistent Homology with Various Coefficient Fields in a Single Pass}},
+ author = {Boissonnat, Jean-Daniel and Maria, Cl{\'e}ment},
+ abstract = {{In this article, we introduce the multi-field persistence diagram for the persistence homology of a filtered complex. It encodes compactly the superimposition of the persistence diagrams of the complex with several field coefficients, and provides a substantially more precise description of the topology of the filtered complex. Specifically, the multi-field persistence diagram encodes the Betti numbers of integral homology and the prime divisors of the torsion coefficients of the underlying shape. Moreover, it enjoys similar stability properties as the ones of standard persistence diagrams, with the appropriate notion of distance. These properties make the multi-field persistence diagram a useful tool in computational topology.}},
+ keywords = {Computational Topology, Persistent homology, Modular reconstruction},
+ language = {Anglais},
+ affiliation = {GEOMETRICA - INRIA Sophia Antipolis / INRIA Saclay - Ile de France},
+ pages = {19},
+ type = {Rapport de recherche},
+ institution = {INRIA},
+ number = {RR-8436},
+ year = {2013},
+ month = Dec,
+ pdf = {http://hal.inria.fr/hal-00922572/PDF/RR-8436.pdf},
+}
+
+
+
+
+
+
+@inproceedings{DBLP:conf/compgeom/CarlssonSM09,
+ author = {Gunnar E. Carlsson and
+ Vin de Silva and
+ Dmitriy Morozov},
+ title = {Zigzag persistent homology and real-valued functions},
+ booktitle = {Symposium on Computational Geometry},
+ year = {2009},
+ pages = {247-256},
+ ee = {http://doi.acm.org/10.1145/1542362.1542408},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@inproceedings{DBLP:conf/compgeom/Cohen-SteinerEM06,
+ author = {David Cohen-Steiner and
+ Herbert Edelsbrunner and
+ Dmitriy Morozov},
+ title = {Vines and vineyards by updating persistence in linear time},
+ booktitle = {Symposium on Computational Geometry},
+ year = {2006},
+ pages = {119-126},
+ ee = {http://doi.acm.org/10.1145/1137856.1137877},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@article{quiverrepresentations_derksenweyman,
+ author = {Harm Derksen and Jerzy Weyman},
+ title = {Quiver Representations},
+ journal = {Notices of the AMS},
+ volume = {52},
+ number = {2},
+ year = {2005},
+ pages = {200-206}
+}
+@article{DBLP:journals/dcg/SilvaMV11,
+ author = {Vin de Silva and
+ Dmitriy Morozov and
+ Mikael Vejdemo-Johansson},
+ title = {Persistent Cohomology and Circular Coordinates},
+ journal = {Discrete {\&} Computational Geometry},
+ volume = {45},
+ number = {4},
+ year = {2011},
+ pages = {737-759},
+ ee = {http://dx.doi.org/10.1007/s00454-011-9344-x},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@article{RS62,
+ author={J. B. Rosser and L. Schoenfeld},
+ title={Approximate Formulas for some Functions of Prime Numbers},
+ journal= ijm,
+ volume= 6,
+ year= 1962,
+ pages={64-94},
+ mrnumber={25 \#1139}
+}
+@article{DBLP:journals/siamcomp/Furer09,
+ author = {Martin F{\"u}rer},
+ title = {Faster Integer Multiplication},
+ journal = {SIAM J. Comput.},
+ volume = {39},
+ number = {3},
+ year = {2009},
+ pages = {979-1005},
+ ee = {http://dx.doi.org/10.1137/070711761},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@article{DBLP:journals/dcg/ZomorodianC05,
+ author = {Afra Zomorodian and
+ Gunnar E. Carlsson},
+ title = {Computing Persistent Homology},
+ journal = {Discrete {\&} Computational Geometry},
+ volume = {33},
+ number = {2},
+ year = {2005},
+ pages = {249-274},
+ ee = {http://www.springerlink.com/index/10.1007/s00454-004-1146-y},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@article{DBLP:journals/dcg/Cohen-SteinerEH07,
+ author = {David Cohen-Steiner and
+ Herbert Edelsbrunner and
+ John Harer},
+ title = {Stability of Persistence Diagrams},
+ journal = {Discrete {\&} Computational Geometry},
+ volume = {37},
+ number = {1},
+ year = {2007},
+ pages = {103-120},
+ ee = {http://dx.doi.org/10.1007/s00454-006-1276-5},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@article{DBLP:journals/siamcomp/HafnerM91,
+ author = {James L. Hafner and
+ Kevin S. McCurley},
+ title = {Asymptotically Fast Triangularization of Matrices Over Rings},
+ journal = {SIAM J. Comput.},
+ volume = {20},
+ number = {6},
+ year = {1991},
+ pages = {1068-1083},
+ ee = {http://dx.doi.org/10.1137/0220067},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@article{DBLP:journals/algorithmica/EfratIK01,
+ author = {Alon Efrat and
+ Alon Itai and
+ Matthew J. Katz},
+ title = {Geometry Helps in Bottleneck Matching and Related Problems},
+ journal = {Algorithmica},
+ volume = {31},
+ number = {1},
+ year = {2001},
+ pages = {1-28},
+ ee = {http://dx.doi.org/10.1007/s00453-001-0016-8},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@article{DBLP:journals/siamcomp/HopcroftK73,
+ author = {John E. Hopcroft and
+ Richard M. Karp},
+ title = {An n$^{\mbox{5/2}}$ Algorithm for Maximum Matchings in Bipartite
+ Graphs},
+ journal = {SIAM J. Comput.},
+ volume = {2},
+ number = {4},
+ year = {1973},
+ pages = {225-231},
+ ee = {http://dx.doi.org/10.1137/0202019},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+%------------------------------------------------------------------
+@article{DBLP:journals/corr/abs-1210-1429,
+ author = {Pawel Dlotko and
+ Hubert Wagner},
+ title = {Computing homology and persistent homology using iterated
+ Morse decomposition},
+ journal = {CoRR},
+ volume = {abs/1210.1429},
+ year = {2012},
+ ee = {http://arxiv.org/abs/1210.1429},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+%BOOKS
+%------------------------------------------------------------------
+@book{DBLP:tibkat_237559129,
+ author = {Saunders Mac Lane},
+ title = {Categories for the working mathematician},
+ year = {1998},
+ ee = {http://www.zentralblatt-math.org/zmath/en/search/?an}
+}
+
+
+@book{Hatcher-algebraictopology2001,
+ author = {Hatcher, Allen},
+ day = {03},
+ edition = {1},
+ howpublished = {Paperback},
+ isbn = {0521795400},
+ keywords = {topology},
+ month = dec,
+ posted-at = {2008-06-25 09:53:39},
+ priority = {2},
+ publisher = {Cambridge University Press},
+ title = {{Algebraic Topology}},
+ url = {http://www.math.cornell.edu/\~{}hatcher/AT/AT.pdf},
+ year = {2001}
+}
+@book{Munkres-elementsalgtop1984,
+ author = {James R. Munkres},
+ title = {Elements of algebraic topology},
+ publisher = {Addison-Wesley},
+ year = {1984},
+ isbn = {978-0-201-04586-4},
+ pages = {I-IX, 1-454},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@book{DBLP:books/aw/Knuth81,
+ author = {Donald E. Knuth},
+ title = {The Art of Computer Programming, Volume II: Seminumerical
+ Algorithms, 2nd Edition},
+ publisher = {Addison-Wesley},
+ year = {1981},
+ isbn = {0-201-03822-6},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@book{DBLP:books/daglib/0025666,
+ author = {Herbert Edelsbrunner and
+ John Harer},
+ title = {Computational Topology - an Introduction},
+ publisher = {American Mathematical Society},
+ year = {2010},
+ isbn = {978-0-8218-4925-5},
+ pages = {I-XII, 1-241},
+ ee = {http://www.ams.org/bookstore-getitem/item=MBK-69},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@book{Gathen:2003:MCA:945759,
+ author = {Gathen, Joachim Von Zur and Gerhard, Jurgen},
+ title = {Modern Computer Algebra},
+ year = {2003},
+ isbn = {0521826462},
+ edition = {2},
+ publisher = {Cambridge University Press},
+ address = {New York, NY, USA},
+}
+@book{DBLP:books/aw/AhoHU74,
+ author = {Alfred V. Aho and
+ John E. Hopcroft and
+ Jeffrey D. Ullman},
+ title = {The Design and Analysis of Computer Algorithms},
+ publisher = {Addison-Wesley},
+ year = {1974},
+ isbn = {0-201-00029-6},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+%------------------------------------------------------------------
+
+
+
+%INPROCEEDINGS
+%------------------------------------------------------------------
+
+ crossref = {DBLP:conf/esa/2013},
+
+proceedings{DBLP:conf/esa/2013,
+ editor = {Hans L. Bodlaender and
+ Giuseppe F. Italiano},
+ title = {Algorithms - ESA 2013 - 21st Annual European Symposium,
+ Sophia Antipolis, France, September 2-4, 2013. Proceedings},
+ booktitle = {ESA},
+ publisher = {Springer},
+ series = {Lecture Notes in Computer Science},
+ volume = {8125},
+ year = {2013},
+ isbn = {978-3-642-40449-8},
+ ee = {http://dx.doi.org/10.1007/978-3-642-40450-4},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@inproceedings{DBLP:conf/issac/StorjohannL96,
+ author = {Arne Storjohann and
+ George Labahn},
+ title = {Asymptotically Fast Computation of {H}ermite Normal Forms
+ of Integer Matrices},
+ booktitle = {ISSAC},
+ year = {1996},
+ pages = {259-266},
+ ee = {http://doi.acm.org/10.1145/236869.237083},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+} crossref = {DBLP:conf/issac/1996},
+@inproceedings{DBLP:conf/issac/Storjohann96,
+ author = {Arne Storjohann},
+ title = {Near Optimal Algorithms for Computing Smith Normal Forms
+ of Integer Matrices},
+ booktitle = {ISSAC},
+ year = {1996},
+ pages = {267-274},
+ ee = {http://doi.acm.org/10.1145/236869.237084},
+
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+} crossref = {DBLP:conf/issac/1996},
+proceedings{DBLP:conf/issac/1996,
+ editor = {Erwin Engeler and
+ B. F. Caviness and
+ Yagati N. Lakshman},
+ title = {Proceedings of the 1996 International Symposium on Symbolic
+ and Algebraic Computation, ISSAC '96, Zurich, Switzerland,
+ July 24-26, 1996},
+ booktitle = {ISSAC},
+ publisher = {ACM},
+ year = {1996},
+ isbn = {0-89791-796-0},
+ ee = {http://dl.acm.org/citation.cfm?id=236869},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+%------------------------------------------------------------------
+
+%MISC
+%------------------------------------------------------------------
+@article{DBLP:journals/corr/abs-1208-5018,
+ author = {Tamal K. Dey and
+ Fengtao Fan and
+ Yusu Wang},
+ title = {Computing Topological Persistence for Simplicial Maps},
+ journal = {CoRR},
+ volume = {abs/1208.5018},
+ year = {2012},
+ ee = {http://arxiv.org/abs/1208.5018},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@article{DBLP:journals/corr/abs-1107-5665,
+ author = {Vin de Silva and
+ Dmitriy Morozov and
+ Mikael Vejdemo-Johansson},
+ title = {Dualities in persistent (co)homology},
+ journal = {CoRR},
+ volume = {abs/1107.5665},
+ year = {2011},
+ ee = {http://arxiv.org/abs/1107.5665},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+%------------------------------------------------------------------
+
+%LIBRARY
+
+%------------------------------------------------------------------
+@misc{gmplib_cite,
+title = "GMP, The GNU Multiple Precision Arithmetic Library",
+note = "http://gmplib.org/",
+}
+%------------------------------------------------------------------
+
+
+
+
+%TEMPORARY
+%------------------------------------------------------------------
+@inproceedings{deSilva:2013:GSP:2493132.2462402,
+ author = {de Silva, Vin and Nanda, Vidit},
+ title = {Geometry in the space of persistence modules},
+ booktitle = {Proceedings of the twenty-ninth annual symposium on Computational geometry},
+ series = {SoCG '13},
+ year = {2013},
+ isbn = {978-1-4503-2031-3},
+ location = {Rio de Janeiro, Brazil},
+ pages = {397--404},
+ numpages = {8},
+ url = {http://doi.acm.org/10.1145/2462356.2462402},
+ doi = {10.1145/2462356.2462402},
+ acmid = {2462402},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+ keywords = {discrete and computational geometry, embedding theorem, persistent homology},
+}
+@article{Fredman:1984:SST:828.1884,
+ author = {Fredman, Michael L. and Koml\'{o}s, J\'{a}nos and Szemer{\'e}di, Endre},
+ title = {Storing a Sparse Table with {O}(1) Worst Case Access Time},
+ journal = {J. ACM},
+ issue_date = {July 1984},
+ volume = {31},
+ number = {3},
+ month = jun,
+ year = {1984},
+ issn = {0004-5411},
+ pages = {538--544},
+ numpages = {7},
+ url = {http://doi.acm.org/10.1145/828.1884},
+ doi = {10.1145/828.1884},
+ acmid = {1884},
+ publisher = {ACM},
+ address = {New York, NY, USA},
+}
+%------------------------------------------------------------------
+
+
+
+%%%%% TEMP
+article{journals/moc/Moller08,
+ added-at = {2011-04-10T00:00:00.000+0200},
+ author = {M\"oller, Niels},
+ biburl = {http://www.bibsonomy.org/bibtex/2a40c83ae0a723c978ff29ccaec7ff7ee/dblp},
+ ee = {http://dx.doi.org/10.1090/S0025-5718-07-02017-0},
+ interhash = {d2f425fef08e9b3ea347b12cbcf9792f},
+ intrahash = {a40c83ae0a723c978ff29ccaec7ff7ee},
+ journal = {Math. Comput.},
+ keywords = {dblp},
+ number = 261,
+ pages = {589-607},
+ timestamp = {2011-04-10T00:00:00.000+0200},
+ title = {On Sch\"onhage's algorithm and subquadratic integer gcd computation.},
+ url = {http://dblp.uni-trier.de/db/journals/moc/moc77.html#Moller08},
+ volume = 77,
+ year = 2008
+}
+
+@article{DBLP:journals/dcg/EdelsbrunnerLZ02,
+ author = {Herbert Edelsbrunner and
+ David Letscher and
+ Afra Zomorodian},
+ title = {Topological Persistence and Simplification},
+ journal = {Discrete Comput. Geom.},
+ volume = {28},
+ number = {4},
+ year = {2002},
+ pages = {511-533},
+ ee = {http://dx.doi.org/10.1007/s00454-002-2885-2},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+
+
+inproceedings{DBLP:conf/esa/2012,
+ editor = {Leah Epstein and
+ Paolo Ferragina},
+ title = {Algorithms - ESA 2012 - 20th Annual European Symposium,
+ Ljubljana, Slovenia, September 10-12, 2012. Proceedings},
+ booktitle = {ESA},
+ publisher = {Springer},
+ series = {Lecture Notes in Computer Science},
+ volume = {7501},
+ year = {2012},
+ isbn = {978-3-642-33089-6},
+ ee = {http://dx.doi.org/10.1007/978-3-642-33090-2},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+
+@article{SMV11,
+ author = {V. de Silva and
+ D. Morozov and
+ M. Vejdemo-Johansson},
+ title = {Persistent cohomology and circular coordinates},
+ journal = {Discrete Comput. Geom.},
+ volume = {45},
+ pages = {737-759},
+ year = {2011},
+}
+@article{SMV211,
+ author = {V. de Silva and
+ D. Morozov and
+ M. Vejdemo-Johansson},
+ title = {Dualities in persistent (co)homology},
+ journal = {Inverse Problems},
+ volume = {27},
+ year = {2011},
+ pages = {124003},
+}
+
+
+
+
+
+inproceedings{DBLP:conf/soda/BentleyS97,
+ author = {Jon Louis Bentley and
+ Robert Sedgewick},
+ title = {Fast Algorithms for Sorting and Searching Strings},
+ booktitle = {SODA},
+ year = {1997},
+ pages = {360-369},
+ ee = {http://doi.acm.org/10.1145/314161.314321},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@inproceedings{CO08,
+ author = {F. Chazal and S. Oudot},
+ title = {Towards persistence-based reconstruction in Euclidean spaces},
+ booktitle = {Proc. 24th. Annu. Sympos. Comput. Geom.},
+ year = {2008},
+ pages = {231-241}
+}
+inproceedings{DBLP:conf/soda/1997,
+ editor = {Michael E. Saks},
+ title = {Proceedings of the Eighth Annual ACM-SIAM Symposium on Discrete
+ Algorithms, 5-7 January 1997, New Orleans, Louisiana},
+ booktitle = {SODA},
+ publisher = {ACM/SIAM},
+ year = {1997},
+ isbn = {0-89871-390-0},
+ ee = {http://dl.acm.org/citation.cfm?id=314161},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+
+
+
+inproceedings{attali-rips_approx,
+ author = {Dominique Attali and
+ Andr{\'e} Lieutier and
+ David Salinas},
+ title = {Vietoris-rips complexes also provide topologically correct
+ reconstructions of sampled shapes},
+ booktitle = {Symposium on Computational Geometry},
+ year = {2011},
+ pages = {491-500},
+ ee = {http://doi.acm.org/10.1145/1998196.1998276},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+
+
+@article{Carlsson:2008:LBS:1325290.1325300,
+ author = {Carlsson, Gunnar and Ishkhanov, Tigran and Silva, Vin and Zomorodian, Afra},
+ title = {On the Local Behavior of Spaces of Natural Images},
+ journal = {Int. J. Comput. Vision},
+ volume = {76},
+ issue = {1},
+ month = {January},
+ year = {2008},
+ issn = {0920-5691},
+ pages = {1--12},
+ numpages = {12},
+ url = {http://portal.acm.org/citation.cfm?id=1325290.1325300},
+ doi = {10.1007/s11263-007-0056-x},
+ acmid = {1325300},
+ publisher = {Kluwer Academic Publishers},
+ address = {Hingham, MA, USA},
+ keywords = {Filtration, Klein bottle, Manifold, Natural images, Persistent homology, Topology},
+}
+
+article{DBLP:journals/ijcv/LeePM03,
+ author = {Ann B. Lee and
+ Kim Steenstrup Pedersen and
+ David Mumford},
+ title = {The Nonlinear Statistics of High-Contrast Patches in Natural
+ Images},
+ journal = {International Journal of Computer Vision},
+ volume = {54},
+ number = {1-3},
+ year = {2003},
+ pages = {83-103},
+ ee = {http://dx.doi.org/10.1023/A:1023705401078},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+@article{martin2010top,
+title={Topology of cyclo-octane energy landscape.},
+author={Martin, S. and Thompson, A. and Coutsias, E.A. and Watson, J.},
+journal={J Chem Phys},
+volume={132},
+number={23},
+pages={234115},
+year={2010},
+abstract={Understanding energy landscapes is a major challenge in chemistry and biology. Although a wide variety of methods have been invented and applied to this problem, very little is understood about the actual mathematical structures underlying such landscapes. Perhaps the most general assumption is the idea that energy landscapes are low-dimensional manifolds embedded in high-dimensional Euclidean space. While this is a very mild assumption, we have discovered an example of an energy landscape which is nonmanifold, demonstrating previously unknown mathematical complexity. The example occurs in the energy landscape of cyclo-octane, which was found to have the structure of a reducible algebraic variety, composed of the union of a sphere and a Klein bottle, intersecting in two rings.}
+}
+
+
+book{hatcher2002algebraic,
+ title={Algebraic Topology},
+ author={Hatcher, A.},
+ isbn={9780521795401},
+ lccn={00065166},
+ url={http://books.google.fr/books?id=BjKs86kosqgC},
+ year={2002},
+ publisher={Cambridge University Press}
+}
+
+
+
+@article{DBLP:journals/cagd/DelfinadoE95,
+ author = {Cecil Jose A. Delfinado and
+ Herbert Edelsbrunner},
+ title = {An incremental algorithm for {B}etti numbers of simplicial
+ complexes on the 3-sphere},
+ journal = {Computer Aided Geometric Design},
+ volume = {12},
+ number = {7},
+ year = {1995},
+ pages = {771-784},
+ ee = {http://dx.doi.org/10.1016/0167-8396(95)00016-Y},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+@book{Cormen:2001:IA:580470,
+ author = {Cormen, Thomas H. and Stein, Clifford and Rivest, Ronald L. and Leiserson, Charles E.},
+ title = {Introduction to Algorithms},
+ year = {2001},
+ isbn = {0070131511},
+ edition = {2nd},
+ publisher = {McGraw-Hill Higher Education},
+}
+
+@article{DBLP:journals/focm/CarlssonS10,
+ author = {Gunnar E. Carlsson and
+ Vin de Silva},
+ title = {Zigzag Persistence},
+ journal = {Foundations of Computational Mathematics},
+ volume = {10},
+ number = {4},
+ year = {2010},
+ pages = {367-405},
+ ee = {http://dx.doi.org/10.1007/s10208-010-9066-0},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@article{ghrist_coverage,
+ author = {V. de Silva and R. Ghrist},
+ title = {Coverage in sensor network via persistent homology},
+ journal = {Algebraic {\&} Geometric Topology},
+ volume = {7},
+ year = {2007},
+ pages = {339-358},
+}
+@article{mischaikow_nanda_morse,
+year={2013},
+issn={0179-5376},
+journal={Discrete {\&} Computational Geometry},
+volume={50},
+number={2},
+doi={10.1007/s00454-013-9529-6},
+title={Morse Theory for Filtrations and Efficient Computation of Persistent Homology},
+url={http://dx.doi.org/10.1007/s00454-013-9529-6},
+publisher={Springer US},
+keywords={Computational topology; Discrete Morse theory; Persistent homology},
+author={Mischaikow, Konstantin and Nanda, Vidit},
+pages={330-353},
+language={English}
+}
+
+
+@inproceedings{DBLP:conf/compgeom/MilosavljevicMS11,
+ author = {Nikola Milosavljevic and
+ Dmitriy Morozov and
+ Primoz Skraba},
+ title = {Zigzag persistent homology in matrix multiplication time},
+ booktitle = {Symposium on Comp. Geom.},
+ year = {2011},
+ ee = {http://doi.acm.org/10.1145/1998196.1998229},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+proceedings{DBLP:conf/compgeom/2011,
+ editor = {Ferran Hurtado and
+ Marc J. van Kreveld},
+ title = {Proceedings of the 27th ACM Symposium on Computational Geometry,
+ Paris, France, June 13-15, 2011},
+ booktitle = {Symposium on Computational Geometry},
+ publisher = {ACM},
+ year = {2011},
+ isbn = {978-1-4503-0682-9},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@article{DBLP:journals/comgeo/ChenK13,
+ author = {Chao Chen and
+ Michael Kerber},
+ title = {An output-sensitive algorithm for persistent homology},
+ journal = {Comput. Geom.},
+ volume = {46},
+ number = {4},
+ year = {2013},
+ pages = {435-447},
+ ee = {http://dx.doi.org/10.1016/j.comgeo.2012.02.010},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+
+@incollection{Bauer:arXiv1303.0477,
+year={2014},
+isbn={978-3-319-04098-1},
+booktitle={Topological Methods in Data Analysis and Visualization III},
+doi={10.1007/978-3-319-04099-8_7},
+title={Clear and Compress: Computing Persistent Homology in Chunks},
+url={http://dx.doi.org/10.1007/978-3-319-04099-8_7},
+author={Bauer, Ulrich and Kerber, Michael and Reininghaus, Jan},
+pages={103-117},
+language={English}
+}
+@inproceedings{DBLP:conf/alenex/BauerKR14,
+ author = {Ulrich Bauer and
+ Michael Kerber and
+ Jan Reininghaus},
+ title = {Distributed Computation of Persistent Homology},
+ booktitle = {ALENEX},
+ year = {2014},
+ pages = {31-38},
+ ee = {http://dx.doi.org/10.1137/1.9781611973198.4},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+@inproceedings{DBLP:conf/compgeom/DeyFW14,
+ author = {Tamal K. Dey and
+ Fengtao Fan and
+ Yusu Wang},
+ title = {Computing Topological Persistence for Simplicial Maps},
+ booktitle = {Symposium on Computational Geometry},
+ year = {2014},
+ pages = {345},
+ ee = {http://doi.acm.org/10.1145/2582112.2582165},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+@INPROCEEDINGS{Chen11persistenthomology,
+ author = {Chao Chen and Michael Kerber},
+ title = {Persistent homology computation with a twist},
+ booktitle = {Proceedings 27th European Workshop on Computational Geometry},
+ year = {2011}
+}
+
+
+@ARTICLE{Morozov05persistencealgorithm,
+ author = {Dmitriy Morozov},
+ title = {Persistence algorithm takes cubic time in worst case},
+ journal = {BioGeometry News, Dept. Comput. Sci., Duke Univ},
+ year = {2005}
+}
+
+@article{DBLP:journals/corr/abs-1205-3669,
+ author = {Peter Bubenik and
+ Jonathan A. Scott},
+ title = {Categorification of persistent homology},
+ journal = {CoRR},
+ volume = {abs/1205.3669},
+ year = {2012},
+ ee = {http://arxiv.org/abs/1205.3669},
+ bibsource = {DBLP, http://dblp.uni-trier.de}
+}
+
+misc{buddha_stanford_scan,
+ author = "",
+ title = "The Stanford 3D Scanning Repository",
+ note = "http://graphics.stanford.edu/data/3Dscanrep/"
+}
+@misc{dionysus_morozov,
+ author = "Dmitriy Morozov",
+ title = "\textsc{Dionysus}",
+ note = "http://www.mrzv.org/software/dionysus/"
+}
+
+@misc{phat_lib,
+author={Bauer, Ulrich and Kerber, Michael and Reininghaus, Jan},
+ title = "\textsc{Phat}",
+ note = "https://code.google.com/p/phat/"
+}
+
+misc{ann_mount,
+author = "David M. Mount
+and Sunil Arya",
+ title = "\textsc{ANN}, {A}pproximate {N}earest {N}eighbors {L}ibrary",
+ note = "http://www.cs.sunysb.edu/~algorith/implement/ANN/implement.shtml"
+}
+
+misc{jplex_cite,
+ author = "Sexton, Harlan and Johansson, Mikael Vejdemo",
+ title = "\textsc{JPlex}",
+ year = "2009",
+ note = "http://comptop.stanford.edu/programs/jplex/"
+}
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new file mode 100755
index 00000000..f890ed74
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diff --git a/data/meshes/tore3D_1307.off b/data/meshes/tore3D_1307.off
new file mode 100755
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diff --git a/data/points/Kl.txt b/data/points/Kl.txt
new file mode 100644
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diff --git a/data/points/Klein_bottle_complex.txt b/data/points/Klein_bottle_complex.txt
new file mode 100644
index 00000000..430e4f73
--- /dev/null
+++ b/data/points/Klein_bottle_complex.txt
@@ -0,0 +1,55 @@
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diff --git a/data/points/bunny_10 b/data/points/bunny_10
new file mode 100644
index 00000000..c7d9654d
--- /dev/null
+++ b/data/points/bunny_10
@@ -0,0 +1,11 @@
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diff --git a/data/points/bunny_1000 b/data/points/bunny_1000
new file mode 100644
index 00000000..ff22c361
--- /dev/null
+++ b/data/points/bunny_1000
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diff --git a/data/points/bunny_5000 b/data/points/bunny_5000
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diff --git a/scripts/generate_version.sh b/scripts/generate_version.sh
new file mode 100644
index 00000000..4b5d08f4
--- /dev/null
+++ b/scripts/generate_version.sh
@@ -0,0 +1,106 @@
+#!/bin/bash
+#usage bash generate_version.sh : dont generate if svn st non empty
+#usage bash generate_version.sh -f : generate even if svn is empty
+#usage bash generate_version.sh -f DIR : generate even if svn is empty and save library in dir
+# VERSION CHECK
+ROOT_DIR=..
+VERSION_FILE="$ROOT_DIR/Version.txt"
+
+if [ ! -f $VERSION_FILE ]; then
+ echo "File not found! : $VERSION_FILE"
+ exit 1
+fi
+
+# SVN STATUS CHECK OR IF FORCED BY USER
+if [ "$1" != "-f" ]
+then
+ SVN_STATUS=`svn status $ROOT_DIR`
+ echo $SVN_STATUS
+fi
+
+
+TARGET_DIR=""
+if [ "$2" != "-f" ]
+then
+ TARGET_DIR=$2
+ echo "Install folder : $TARGET_DIR"
+fi
+
+if [ "$SVN_STATUS" != "" ]
+then
+ echo "Svn status must be empty to create a version!"
+ exit 1
+fi
+
+# TEMPORARY FOLDER CREATION
+VERSION_DATE=`date +"%Y-%m-%d-%H-%M-%S"`
+GUDHI="_GUDHI_"
+VERSION_REVISION=`cat $VERSION_FILE`
+VERSION_DIR="$VERSION_DATE$GUDHI$VERSION_REVISION"
+echo $VERSION_DIR
+mkdir "$VERSION_DIR"
+
+# TOP LEVEL FILE COPY
+cp $VERSION_FILE $VERSION_DIR
+cp $ROOT_DIR/README $VERSION_DIR
+cp $ROOT_DIR/Conventions.txt $VERSION_DIR
+cp $ROOT_DIR/COPYING $VERSION_DIR
+cp -R $ROOT_DIR/data $VERSION_DIR
+cp $ROOT_DIR/src/CMakeLists.txt $VERSION_DIR
+
+# PACKAGE LEVEL COPY
+PACKAGE_INC_DIR="/include"
+PACKAGE_SRC_DIR="/source"
+PACKAGE_EX_DIR="/example"
+for package in `ls $ROOT_DIR/src/`
+do
+ echo $package
+ if [ -d "$ROOT_DIR/src/$package" ]
+ then
+ if [ "$package" == "cmake" ]
+ then
+ # SPECIFIC FOR CMAKE MODULES
+ cp -R $ROOT_DIR/src/$package $VERSION_DIR
+ else
+ # PACKAGE COPY
+ if [ -d "$ROOT_DIR/src/$package$PACKAGE_INC_DIR" ]
+ then
+ if [ ! -d "$VERSION_DIR$PACKAGE_INC_DIR" ]
+ then
+ # MUST CREATE DIRECTORY ON FIRST LOOP
+ mkdir $VERSION_DIR$PACKAGE_INC_DIR
+ fi
+ cp -R $ROOT_DIR/src/$package$PACKAGE_INC_DIR/* $VERSION_DIR$PACKAGE_INC_DIR/
+ fi
+ if [ -d "$ROOT_DIR/src/$package$PACKAGE_SRC_DIR" ]
+ then
+ if [ ! -d "$VERSION_DIR$PACKAGE_SRC_DIR" ]
+ then
+ # MUST CREATE DIRECTORY ON FIRST LOOP
+ mkdir $VERSION_DIR$PACKAGE_INC_DIR
+ fi
+ cp -R $ROOT_DIR/src/$package$PACKAGE_SRC_DIR/* $VERSION_DIR$PACKAGE_SRC_DIR/
+ fi
+ if [ -d "$ROOT_DIR/src/$package$PACKAGE_EX_DIR" ]
+ then
+ mkdir -p $VERSION_DIR$PACKAGE_EX_DIR/$package
+ cp -R $ROOT_DIR/src/$package$PACKAGE_EX_DIR/* $VERSION_DIR$PACKAGE_EX_DIR/$package
+ fi
+ fi
+ fi
+done
+
+
+#INSTALL to some directory
+if [ "$TARGET_DIR" != "" ]; then
+ echo "Install in dir $TARGET_DIR"
+ mv "$VERSION_DIR" "$TARGET_DIR"
+else
+ # ZIP DIR AND REMOVE IT
+ tar -zcf "$VERSION_DIR.tar.gz" "$VERSION_DIR"
+ rm -rf "$VERSION_DIR"
+fi
+
+
+
+
diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt
new file mode 100644
index 00000000..c2085a40
--- /dev/null
+++ b/src/CMakeLists.txt
@@ -0,0 +1,27 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHI)
+
+
+find_package(Boost REQUIRED COMPONENTS system filesystem unit_test_framework chrono timer REQUIRED)
+
+if(MSVC)
+ # Turn off some VC++ warnings
+ SET (CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4267 /wd4668 /wd4311 /wd4800 /wd4820 /wd4503 /wd4244 /wd4345 /wd4996 /wd4396 /wd4018")
+else()
+ set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -g -O0 -std=c++11 -Wall -Wpedantic -lboost_system -lgmpxx -lgmp")
+ set(CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG} -g -O0")
+ set(CMAKE_CXX_FLAGS_RELEASE "${CMAKE_CXX_FLAGS_RELEASE}")
+endif()
+
+
+find_package(Boost)
+if(NOT Boost_FOUND)
+ message(FATAL_ERROR "NOTICE: This demo requires Boost and will not be compiled.")
+else()
+ INCLUDE_DIRECTORIES(${Boost_INCLUDE_DIRS})
+ LINK_DIRECTORIES(${Boost_LIBRARY_DIRS})
+ include_directories(include/)
+
+ add_subdirectory(example/Skeleton_blocker)
+ add_subdirectory(example/Contraction)
+endif()
diff --git a/src/Contraction/example/CMakeLists.txt b/src/Contraction/example/CMakeLists.txt
new file mode 100644
index 00000000..717830da
--- /dev/null
+++ b/src/Contraction/example/CMakeLists.txt
@@ -0,0 +1,6 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHIskbl)
+add_executable ( RipsContraction Rips_contraction.cpp)
+target_link_libraries( RipsContraction ${Boost_TIMER_LIBRARY})
+
+
diff --git a/src/Contraction/example/Rips_contraction.cpp b/src/Contraction/example/Rips_contraction.cpp
new file mode 100644
index 00000000..acfb516d
--- /dev/null
+++ b/src/Contraction/example/Rips_contraction.cpp
@@ -0,0 +1,100 @@
+/*
+ * Rips_contraction.cpp
+ *
+ * Created on: Nov 28, 2014
+ * Author: dsalinas
+ */
+#include <list>
+#include <boost/timer/timer.hpp>
+#include <iostream>
+#include "gudhi/Edge_contraction.h"
+#include "gudhi/Skeleton_blocker.h"
+#include "gudhi/Off_reader.h"
+
+
+using namespace std;
+using namespace Gudhi;
+using namespace skbl;
+using namespace contraction;
+
+struct Geometry_trait{
+ typedef std::vector<double> Point;
+};
+
+typedef Geometry_trait::Point Point;
+typedef Skeleton_blocker_simple_geometric_traits<Geometry_trait> Complex_geometric_traits;
+typedef Skeleton_blocker_geometric_complex< Complex_geometric_traits > Complex;
+typedef Edge_profile<Complex> Profile;
+typedef Skeleton_blocker_contractor<Complex> Complex_contractor;
+
+template<typename Point>
+double eucl_distance(const Point& a,const Point& b){
+ double res = 0;
+ auto a_coord = a.begin();
+ auto b_coord = b.begin();
+ for(; a_coord != a.end(); a_coord++, b_coord++){
+ res += (*a_coord - *b_coord) * (*a_coord - *b_coord);
+ }
+ return sqrt(res);
+}
+
+template<typename ComplexType>
+void build_rips(ComplexType& complex, double offset){
+ if (offset<=0) return;
+ auto vertices = complex.vertex_range();
+ for (auto p = vertices.begin(); p != vertices.end(); ++p)
+ for (auto q = p; ++q != vertices.end(); /**/)
+ if (eucl_distance(complex.point(*p), complex.point(*q)) < 2 * offset)
+ complex.add_edge(*p,*q);
+}
+
+
+
+
+void test_contraction_rips(string name_file, double offset){
+ boost::timer::auto_cpu_timer t;
+ Complex complex;
+
+ // load the points
+ Skeleton_blocker_off_reader<Complex> off_reader(name_file,complex,true);
+ if(!off_reader.is_valid()){
+ std::cerr << "Unable to read file:"<<name_file<<std::endl;
+ return;
+ }
+ std::cerr << "build the Rips complex"<<std::endl;
+
+ build_rips(complex,offset);
+
+
+ std::cerr << "Initial complex has "<<
+ complex.num_vertices()<<" vertices, and "<<
+ complex.num_edges()<<" edges."<<std::endl;
+
+ Complex_contractor contractor(complex,
+ new Edge_length_cost<Profile>, //todo make_edge_length_cost
+ contraction::make_first_vertex_placement<Profile>(),
+ contraction::make_link_valid_contraction<Profile>(),
+ contraction::make_remove_popable_blockers_visitor<Profile>());
+ contractor.contract_edges();
+
+ std::cerr << "Resulting complex has "<<
+ complex.num_vertices()<<" vertices, "<<
+ complex.num_edges()<<"edges and "<<
+ complex.num_blockers()<<" blockers"<<std::endl;
+
+
+}
+
+
+int main (int argc, char *argv[])
+{
+ if (argc!=3){
+ std::cerr << "Usage "<<argv[0]<<" GUDHIPATH/src/data/sphere3D.off 0.1 to load the file GUDHIPATH/src/data/sphere3D.off and contract the Rips complex built with paremeter 0.2.\n";
+ return -1;
+ }
+
+ std::string name_file(argv[1]);
+ test_contraction_rips(name_file,atof(argv[2]));
+}
+
+
diff --git a/src/Contraction/include/gudhi/Contraction/CGAL_queue/Modifiable_priority_queue.h b/src/Contraction/include/gudhi/Contraction/CGAL_queue/Modifiable_priority_queue.h
new file mode 100644
index 00000000..10b89e13
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/CGAL_queue/Modifiable_priority_queue.h
@@ -0,0 +1,91 @@
+// Copyright (c) 2006-2011 GeometryFactory (France). All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org); you can redistribute it and/or
+// modify it under the terms of the GNU Lesser General Public License as
+// published by the Free Software Foundation; either version 3 of the License,
+// or (at your option) any later version.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+//
+// Author(s) : Fernando Cacciola <fernando.cacciola@geometryfactory.com>
+//
+#ifndef CGAL_MODIFIABLE_PRIORITY_QUEUE_H
+#define CGAL_MODIFIABLE_PRIORITY_QUEUE_H
+
+#define CGAL_SURFACE_MESH_SIMPLIFICATION_USE_RELAXED_HEAP
+
+#include <climits> // Neeeded by the following Boost header for CHAR_BIT.
+#include <boost/optional.hpp>
+#include <boost/pending/relaxed_heap.hpp>
+
+namespace CGAL {
+
+template <class IndexedType_
+ ,class Compare_ = std::less<IndexedType_>
+ ,class ID_ = boost::identity_property_map
+ >
+class Modifiable_priority_queue
+{
+public:
+
+ typedef Modifiable_priority_queue Self;
+
+ typedef IndexedType_ IndexedType ;
+ typedef Compare_ Compare;
+ typedef ID_ ID ;
+
+ typedef boost::relaxed_heap<IndexedType,Compare,ID> Heap;
+ typedef typename Heap::value_type value_type;
+ typedef typename Heap::size_type size_type;
+
+ typedef bool handle ;
+
+public:
+
+ Modifiable_priority_queue( size_type largest_ID, Compare const& c, ID const& id ) : mHeap(largest_ID,c,id) {}
+
+ handle push ( value_type const& v ) { mHeap.push(v) ; return handle(true) ; }
+
+ handle update ( value_type const& v, handle h ) { mHeap.update(v); return h ; }
+
+ handle erase ( value_type const& v, handle ) { mHeap.remove(v); return null_handle() ; }
+
+ value_type top() const { return mHeap.top() ; }
+
+ void pop() { mHeap.pop(); }
+
+ bool empty() const { return mHeap.empty() ; }
+
+ bool contains ( value_type const& v ) { return mHeap.contains(v) ; }
+
+ boost::optional<value_type> extract_top()
+ {
+ boost::optional<value_type> r ;
+ if ( !empty() )
+ {
+ value_type v = top();
+ pop();
+ r = boost::optional<value_type>(v) ;
+ }
+ return r ;
+ }
+
+ static handle null_handle() { return handle(false); }
+
+private:
+
+ Heap mHeap ;
+
+} ;
+
+} //namespace CGAL
+
+#endif
+
diff --git a/src/Contraction/include/gudhi/Contraction/Edge_profile.h b/src/Contraction/include/gudhi/Contraction/Edge_profile.h
new file mode 100644
index 00000000..7005f02c
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/Edge_profile.h
@@ -0,0 +1,115 @@
+/*
+ * Edge_profile.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_EDGE_PROFILE_H_
+#define GUDHI_EDGE_PROFILE_H_
+//#include "combinatorics/Skeleton_blocker/Simplex.h"
+
+
+namespace Gudhi{
+
+namespace contraction {
+template<typename GeometricSimplifiableComplex> class Edge_profile{
+
+public:
+ typedef GeometricSimplifiableComplex Complex;
+ typedef typename Complex::GT GT;
+
+ typedef typename GeometricSimplifiableComplex::Vertex_handle Vertex_handle;
+ typedef typename GeometricSimplifiableComplex::Root_vertex_handle Root_vertex_handle;
+
+
+ typedef typename GeometricSimplifiableComplex::Edge_handle Edge_handle;
+ typedef typename GeometricSimplifiableComplex::Graph_vertex Graph_vertex;
+ typedef typename GeometricSimplifiableComplex::Graph_edge Graph_edge;
+ typedef typename GeometricSimplifiableComplex::Point Point;
+
+
+
+
+ Edge_profile( GeometricSimplifiableComplex& complex,Edge_handle edge):complex_(complex),edge_handle_(edge),
+ v0_(complex_.first_vertex(edge_handle_)),v1_(complex_.second_vertex(edge_handle_))
+{
+ assert(complex_.get_address(complex_[edge_handle_].first()));
+ assert(complex_.get_address(complex_[edge_handle_].second()));
+ assert(complex_.contains_edge(v0_handle(),v1_handle()));
+ assert(v0_handle() != v1_handle());
+}
+
+ virtual ~Edge_profile(){ }
+
+
+ GeometricSimplifiableComplex& complex() const {
+ return complex_;
+ }
+
+ Edge_handle edge_handle() const{
+ return edge_handle_;
+ }
+
+ Graph_edge& edge() const{
+ return complex_[edge_handle_];
+ }
+
+
+ Graph_vertex& v0() const{return complex_[v0_handle()];}
+ Graph_vertex& v1() const{return complex_[v1_handle()];}
+
+
+ Vertex_handle v0_handle() const{
+ return v0_;
+// Root_vertex_handle root = complex_[edge_handle_].first();
+// assert(complex_.get_address(root));
+// return *complex_.get_address(root);
+ }
+
+ Vertex_handle v1_handle() const{
+ return v1_;
+// Root_vertex_handle root = complex_[edge_handle_].second();
+// assert(complex_.get_address(root));
+// return *complex_.get_address(root);
+ }
+
+ const Point& p0() const {return complex_.point(v0_handle());}
+
+ const Point& p1() const {return complex_.point(v1_handle());}
+
+ friend std::ostream& operator << (std::ostream& o, const Edge_profile & v){
+ o << "v0:"<<v.v0_handle() << " v1:"<<v.v1_handle();
+ return o;
+ }
+private:
+
+ GeometricSimplifiableComplex& complex_;
+
+ Edge_handle edge_handle_;
+
+ Vertex_handle v0_;
+
+ Vertex_handle v1_;
+
+};
+
+template<typename EdgeProfile> class Edge_profile_factory{
+public:
+ typedef typename EdgeProfile::Edge_handle Edge_handle_;
+ typedef typename EdgeProfile::Complex Complex_;
+ virtual EdgeProfile make_profile(
+ Complex_& complex,
+ Edge_handle_ edge) const{
+ return EdgeProfile(complex,edge);
+ }
+
+ virtual ~Edge_profile_factory(){};
+};
+
+
+} // namespace contraction
+
+} // namespace GUDHI
+
+#endif /* GUDHI_EDGE_PROFILE_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Contraction_visitor.h b/src/Contraction/include/gudhi/Contraction/policies/Contraction_visitor.h
new file mode 100644
index 00000000..ef670234
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Contraction_visitor.h
@@ -0,0 +1,83 @@
+/*
+ * Contraction_visitor.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_CONTRACTION_VISITOR_H_
+#define GUDHI_CONTRACTION_VISITOR_H_
+
+#include "gudhi/Contraction/Edge_profile.h"
+#include "boost/optional.hpp"
+
+namespace Gudhi{
+
+namespace contraction {
+
+/**
+ *@class Contraction_visitor
+ *@brief Interface for a visitor of the edge contraction process.
+ */
+template <typename EdgeProfile>
+class Contraction_visitor {//: public Dummy_complex_visitor<typename EdgeProfile::Vertex_handle> {
+public:
+ //typedef typename ComplexType::GeometryTrait GT;
+ typedef EdgeProfile Profile;
+ typedef double FT;
+ typedef typename Profile::Complex Complex;
+ typedef Complex ComplexType;
+ typedef typename ComplexType::Point Point;
+
+
+ virtual ~Contraction_visitor(){};
+
+ /**
+ * @brief Called before the edge contraction process starts.
+ */
+ virtual void on_started (ComplexType & complex){}
+
+ /**
+ * @brief Called when the StopPredicate returned true (but not if the algorithm terminates because the surface could not be simplified any further).
+ */
+ virtual void on_stop_condition_reached (const Profile &profile){}
+
+
+ /**
+ * @brief Called during the collecting phase (when a cost is assigned to the edges), for each edge collected.
+ */
+ virtual void on_collected (const Profile &profile, boost::optional< FT > cost){}
+
+ /**
+ * @brief Called during the processing phase (when edges are contracted), for each edge that is selected.
+ */
+ virtual void on_selected (const Profile &profile, boost::optional< FT > cost, int initial_count, int current_count){}
+
+
+ /**
+ * @brief Called when an edge is about to be contracted and replaced by a vertex whose position is *placement.
+ */
+ virtual void on_contracting(const Profile &profile, boost::optional< Point > placement){
+ }
+
+ /**
+ * @brief Called when after an edge has been contracted onto a new point placement.
+ * A possibility would to remove popable blockers at this point for instance.
+ */
+ virtual void on_contracted(const Profile &profile, boost::optional< Point > placement){
+
+ }
+
+
+ /**
+ * @brief Called for each selected edge which cannot be contracted because the ValidContractionPredicate is false
+ */
+ virtual void on_non_valid(const Profile &profile){}
+
+};
+
+} // namespace contraction
+
+} // namespace GUDHI
+
+#endif /* GUDHI_CONTRACTION_VISITOR_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Cost_policy.h b/src/Contraction/include/gudhi/Contraction/policies/Cost_policy.h
new file mode 100644
index 00000000..e183a74d
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Cost_policy.h
@@ -0,0 +1,32 @@
+/*
+ * Cost_policy.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_COST_POLICY_H_
+#define GUDHI_COST_POLICY_H_
+
+#include <boost/optional.hpp>
+
+namespace Gudhi{
+
+namespace contraction {
+
+template< typename EdgeProfile> class Cost_policy{
+public:
+ typedef typename EdgeProfile::Point Point;
+ typedef typename EdgeProfile::Graph_vertex Graph_vertex;
+
+ typedef boost::optional<double> Cost_type;
+
+ virtual Cost_type operator()(const EdgeProfile& profile, const boost::optional<Point>& placement) const =0;
+ virtual ~Cost_policy(){
+ };
+};
+
+} // namespace contraction
+
+} // namespace GUDHI
+#endif /* GUDHI_COST_POLICY_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Dummy_valid_contraction.h b/src/Contraction/include/gudhi/Contraction/policies/Dummy_valid_contraction.h
new file mode 100644
index 00000000..b0202fae
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Dummy_valid_contraction.h
@@ -0,0 +1,34 @@
+/*
+ * Dummy_valid_contraction.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_DUMMY_VALID_CONTRACTION_H_
+#define GUDHI_DUMMY_VALID_CONTRACTION_H_
+
+#include "Valid_contraction_policy.h"
+
+namespace Gudhi{
+
+namespace contraction {
+
+
+
+
+template< typename EdgeProfile> class Dummy_valid_contraction : public Valid_contraction_policy<EdgeProfile>{
+public:
+ typedef typename EdgeProfile::Point Point;
+ bool operator()(const EdgeProfile& profile,const boost::optional<Point>& placement){
+ return true;
+ }
+};
+
+} // namespace contraction
+
+} // namespace GUDHI
+
+
+
+#endif /* GUDHI_DUMMY_VALID_CONTRACTION_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Edge_length_cost.h b/src/Contraction/include/gudhi/Contraction/policies/Edge_length_cost.h
new file mode 100644
index 00000000..32c8768e
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Edge_length_cost.h
@@ -0,0 +1,41 @@
+/*
+ * Edge_length_cost.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_EDGE_LENGTH_COST_H_
+#define GUDHI_EDGE_LENGTH_COST_H_
+
+#include "Cost_policy.h"
+
+namespace Gudhi{
+
+namespace contraction {
+
+
+/**
+ * @brief return a cost corresponding to the squared length of the edge
+ */
+template< typename EdgeProfile> class Edge_length_cost : public Cost_policy<EdgeProfile>{
+public:
+ typedef typename Cost_policy<EdgeProfile>::Cost_type Cost_type;
+ typedef typename EdgeProfile::Point Point;
+ Cost_type operator()(const EdgeProfile& profile, const boost::optional<Point>& placement) const override{
+ double res = 0;
+ auto p0_coord = profile.p0().begin();
+ auto p1_coord = profile.p1().begin();
+ for(; p0_coord != profile.p0().end(); p0_coord++, p1_coord++){
+ res += (*p0_coord - *p1_coord) * (*p0_coord - *p1_coord);
+ }
+ return res;
+ }
+
+};
+
+} // namespace contraction
+
+} // namespace GUDHI
+
+#endif /* GUDHI_EDGE_LENGTH_COST_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/First_vertex_placement.h b/src/Contraction/include/gudhi/Contraction/policies/First_vertex_placement.h
new file mode 100644
index 00000000..cad87e3e
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/First_vertex_placement.h
@@ -0,0 +1,39 @@
+/*
+ * First_vertex_placement.h
+ *
+ * Created on: Feb 20, 2014
+ * Author: David Salinas
+ * Copyright 2013 INRIA. All rights reserved
+ */
+
+#ifndef GUDHI_FIRST_VERTEX_PLACEMENT_H_
+#define GUDHI_FIRST_VERTEX_PLACEMENT_H_
+
+#include "Placement_policy.h"
+
+namespace Gudhi{
+
+namespace contraction {
+
+
+/**
+ * @brief Places the contracted point onto the first point of the edge
+ */
+template< typename EdgeProfile> class First_vertex_placement : public Placement_policy<EdgeProfile>{
+
+public:
+ typedef typename EdgeProfile::Point Point;
+ typedef typename EdgeProfile::Edge_handle Edge_handle;
+
+ typedef typename Placement_policy<EdgeProfile>::Placement_type Placement_type;
+
+ Placement_type operator()(const EdgeProfile& profile) const override{
+ return Placement_type(profile.p0());
+ }
+};
+} // namespace contraction
+
+} // namespace GUDHI
+
+
+#endif /* GUDHI_FIRST_VERTEX_PLACEMENT_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Link_condition_valid_contraction.h b/src/Contraction/include/gudhi/Contraction/policies/Link_condition_valid_contraction.h
new file mode 100644
index 00000000..77fb6f95
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Link_condition_valid_contraction.h
@@ -0,0 +1,36 @@
+/*
+ * Link_condition_valid_contraction.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_LINK_CONDITION_VALID_CONTRACTION_H_
+#define GUDHI_LINK_CONDITION_VALID_CONTRACTION_H_
+
+#include "gudhi/Utils.h"
+#include "Valid_contraction_policy.h"
+
+
+namespace Gudhi{
+
+namespace contraction {
+
+
+
+template< typename EdgeProfile> class Link_condition_valid_contraction : public Valid_contraction_policy<EdgeProfile>{
+public:
+ typedef typename EdgeProfile::Edge_handle Edge_handle;
+ typedef typename EdgeProfile::Point Point;
+ //typedef typename EdgeProfile::Edge_handle Edge_handle;
+ bool operator()(const EdgeProfile& profile,const boost::optional<Point>& placement) const override{
+ Edge_handle edge(profile.edge_handle());
+ DBGMSG("Link_condition_valid_contraction:",profile.complex().link_condition(edge));
+ return profile.complex().link_condition(edge);
+ }
+};
+} // namespace contraction
+
+} // namespace GUDHI
+
+#endif /* GUDHI_LINK_CONDITION_VALID_CONTRACTION_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Middle_placement.h b/src/Contraction/include/gudhi/Contraction/policies/Middle_placement.h
new file mode 100644
index 00000000..872c6d80
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Middle_placement.h
@@ -0,0 +1,35 @@
+/*
+ * Middle_placement.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_MIDDLE_PLACEMENT_H_
+#define GUDHI_MIDDLE_PLACEMENT_H_
+
+#include "Placement_policy.h"
+
+
+namespace Gudhi{
+
+namespace contraction {
+
+template< typename EdgeProfile> class Middle_placement : public Placement_policy<EdgeProfile>{
+
+public:
+ typedef typename EdgeProfile::Point Point;
+ typedef typename EdgeProfile::Edge_handle Edge_handle;
+ typedef typename EdgeProfile::Graph_vertex Graph_vertex;
+
+ typedef typename Placement_policy<EdgeProfile>::Placement_type Placement_type;
+
+ Placement_type operator()(const EdgeProfile& profile) const override{
+ //todo compute the middle
+ return Placement_type(profile.p0());
+ }
+};
+} // namespace contraction
+} // namespace GUDHI
+
+#endif /* GUDHI_MIDDLE_PLACEMENT_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Placement_policy.h b/src/Contraction/include/gudhi/Contraction/policies/Placement_policy.h
new file mode 100644
index 00000000..78595f3b
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Placement_policy.h
@@ -0,0 +1,29 @@
+/*
+ * Placement_policy.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_PLACEMENT_POLICY_H_
+#define GUDHI_PLACEMENT_POLICY_H_
+
+#include <boost/optional.hpp>
+
+namespace Gudhi {
+namespace contraction {
+
+template< typename EdgeProfile> class Placement_policy{
+public:
+ typedef typename EdgeProfile::Point Point;
+ typedef boost::optional<Point> Placement_type;
+
+ virtual Placement_type operator()(const EdgeProfile& profile) const=0;
+ virtual ~Placement_policy(){};
+};
+
+
+} // namespace contraction
+} // namespace GUDHI
+
+#endif /* GUDHI_PLACEMENT_POLICY_H_ */
diff --git a/src/Contraction/include/gudhi/Contraction/policies/Valid_contraction_policy.h b/src/Contraction/include/gudhi/Contraction/policies/Valid_contraction_policy.h
new file mode 100644
index 00000000..f6016e2d
--- /dev/null
+++ b/src/Contraction/include/gudhi/Contraction/policies/Valid_contraction_policy.h
@@ -0,0 +1,27 @@
+/*
+ * Valid_contraction_policy.h
+ *
+ * Created on: Feb 13, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_VALID_CONTRACTION_POLICY_H_
+#define GUDHI_VALID_CONTRACTION_POLICY_H_
+
+namespace Gudhi {
+namespace contraction {
+template< typename EdgeProfile> class Valid_contraction_policy{
+public:
+ typedef typename EdgeProfile::Point Point;
+ typedef typename EdgeProfile::Edge_handle Edge_handle;
+ typedef typename EdgeProfile::Graph_vertex Graph_vertex;
+
+ virtual bool operator()(const EdgeProfile& profile,const boost::optional<Point>& placement) const =0;
+ virtual ~Valid_contraction_policy(){};
+};
+
+} // namespace contraction
+} // namespace GUDHI
+
+
+#endif /* GUDHI_VALID_CONTRACTION_POLICY_H_ */
diff --git a/src/Contraction/include/gudhi/Edge_contraction.h b/src/Contraction/include/gudhi/Edge_contraction.h
new file mode 100644
index 00000000..049e3d81
--- /dev/null
+++ b/src/Contraction/include/gudhi/Edge_contraction.h
@@ -0,0 +1,23 @@
+/*
+ * Edge_contraction.h
+ *
+ * Created on: Nov 28, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_EDGE_CONTRACTION_H_
+#define GUDHI_EDGE_CONTRACTION_H_
+
+
+
+#include "gudhi/Skeleton_blocker_contractor.h"
+#include "gudhi/Contraction/policies/Edge_length_cost.h"
+#include "gudhi/Contraction/policies/First_vertex_placement.h"
+#include "gudhi/Contraction/policies/Valid_contraction_policy.h"
+#include "gudhi/Contraction/policies/Dummy_valid_contraction.h"
+#include "gudhi/Contraction/policies/Link_condition_valid_contraction.h"
+#include "gudhi/Utils.h"
+
+
+
+#endif /* GUDHI_EDGE_CONTRACTION_H_ */
diff --git a/src/Contraction/include/gudhi/Skeleton_blocker_contractor.h b/src/Contraction/include/gudhi/Skeleton_blocker_contractor.h
new file mode 100644
index 00000000..4dc7952c
--- /dev/null
+++ b/src/Contraction/include/gudhi/Skeleton_blocker_contractor.h
@@ -0,0 +1,634 @@
+/*
+ * Skeleton_blocker_contractor.h
+ *
+ * Created on: Feb 11, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKER_CONTRACTOR_H_
+#define GUDHI_SKELETON_BLOCKER_CONTRACTOR_H_
+
+#include <memory>
+#include <cassert>
+
+// todo remove the queue to be independent from cgald
+#include "gudhi/Contraction/CGAL_queue/Modifiable_priority_queue.h"
+//#include <CGAL/Modifiable_priority_queue.h>
+
+
+#include <list>
+#include <boost/scoped_array.hpp>
+#include <boost/scoped_ptr.hpp>
+
+
+#include "gudhi/Contraction/Edge_profile.h"
+#include "gudhi/Contraction/policies/Cost_policy.h"
+#include "gudhi/Contraction/policies/Edge_length_cost.h"
+#include "gudhi/Contraction/policies/Placement_policy.h"
+#include "gudhi/Contraction/policies/First_vertex_placement.h"
+
+#include "gudhi/Contraction/policies/Valid_contraction_policy.h"
+#include "gudhi/Contraction/policies/Dummy_valid_contraction.h" //xxx remove
+#include "gudhi/Contraction/policies/Link_condition_valid_contraction.h" //xxx remove
+
+#include "gudhi/Contraction/policies/Contraction_visitor.h"
+
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_complex_visitor.h"
+
+#include "gudhi/Utils.h"
+
+namespace Gudhi{
+
+namespace contraction {
+
+
+template <class Profile>
+Placement_policy<Profile>* make_first_vertex_placement(){
+ return new First_vertex_placement<Profile>();
+}
+
+template <class Profile>
+Valid_contraction_policy<Profile>* make_link_valid_contraction(){
+ return new Link_condition_valid_contraction<Profile>();
+}
+
+
+// visitor that remove popable blockers after an edge contraction
+template <class Profile>
+class Contraction_visitor_remove_popable : public Contraction_visitor<Profile>{
+public:
+ typedef typename Profile::Point Point;
+ typedef typename Profile::Complex Complex;
+ typedef typename Complex::Vertex_handle Vertex_handle;
+
+ //todo explore only neighborhood with stack
+ void on_contracted(const Profile &profile, boost::optional< Point > placement) override{
+ std::list<Vertex_handle> vertex_to_check;
+ vertex_to_check.push_front(profile.v0_handle());
+
+ while(!vertex_to_check.empty()){
+ Vertex_handle v = vertex_to_check.front();
+ vertex_to_check.pop_front();
+
+ bool blocker_popable_found=true;
+ while (blocker_popable_found){
+ blocker_popable_found = false;
+ for(auto block : profile.complex().blocker_range(v)){
+ if (profile.complex().is_popable_blocker(block)) {
+ for(Vertex_handle nv : *block)
+ if(nv!=v) vertex_to_check.push_back(nv);
+ profile.complex().delete_blocker(block);
+ blocker_popable_found = true;
+ break;
+ }
+ }
+ }
+ }
+ }
+};
+
+template <class Profile>
+Contraction_visitor<Profile>* make_remove_popable_blockers_visitor(){
+ return new Contraction_visitor_remove_popable<Profile>();
+}
+
+
+
+
+
+
+/**
+ *@class Skeleton_blocker_contractor
+ *@brief Class that allows to contract iteratively edges of a simplicial complex.
+ *
+ * @details Basically, the simplification algorithm consists in iteratively picking the
+ * edge with lowest cost and performing an edge contraction if the contraction is valid.
+ * This class is policy based (and much inspired from the edge collapse package of CGAL).
+ *
+ * Policies that can be changed are :
+ * - the cost policy : how much cost an edge contraction
+ * - the placement policy : where will be placed the contraction point
+ * - the valid contraction policy : is the contraction valid. For instance, it can be
+ * a topological condition (link condition) or a geometrical condition (normals messed up).
+ *
+ * TODO expliquer la pile
+ */
+template<
+class GeometricSimplifiableComplex,
+class EdgeProfile = Edge_profile<GeometricSimplifiableComplex>
+>
+class Skeleton_blocker_contractor : private skbl::Dummy_complex_visitor<typename GeometricSimplifiableComplex::Vertex_handle>{
+
+ GeometricSimplifiableComplex& complex_;
+
+public:
+ typedef typename GeometricSimplifiableComplex::Graph_vertex Graph_vertex;
+ typedef typename GeometricSimplifiableComplex::Vertex_handle Vertex_handle;
+ typedef typename GeometricSimplifiableComplex::Simplex_handle Simplex_handle;
+ typedef typename GeometricSimplifiableComplex::Simplex_handle_iterator Simplex_handle_iterator;
+
+
+
+ typedef typename GeometricSimplifiableComplex::Root_vertex_handle Root_vertex_handle;
+
+ typedef typename GeometricSimplifiableComplex::Graph_edge Graph_edge;
+ typedef typename GeometricSimplifiableComplex::Edge_handle Edge_handle;
+ typedef typename GeometricSimplifiableComplex::Point Point;
+
+ typedef EdgeProfile Profile;
+
+
+ typedef Cost_policy<Profile> Cost_policy_;
+ typedef Placement_policy<Profile> Placement_policy_;
+ typedef Valid_contraction_policy<Profile> Valid_contraction_policy_;
+ typedef Contraction_visitor<EdgeProfile> Contraction_visitor_;
+ typedef Edge_profile_factory<EdgeProfile> Edge_profile_factory_;
+
+
+
+ typedef boost::optional<double> Cost_type;
+ typedef boost::optional<Point> Placement_type ;
+
+ typedef size_t size_type;
+
+ typedef Skeleton_blocker_contractor Self ;
+
+
+
+private:
+
+ struct Compare_id
+ {
+ Compare_id() : algorithm_(0) {}
+
+ Compare_id( Self const* aAlgorithm ) : algorithm_(aAlgorithm) {}
+
+ bool operator() ( Edge_handle a, Edge_handle b ) const
+ {
+ return algorithm_->get_undirected_edge_id(a) < algorithm_->get_undirected_edge_id(b);
+ }
+
+ Self const* algorithm_ ;
+ } ;
+
+ struct Compare_cost
+ {
+ Compare_cost() : algorithm_(0) {
+ }
+
+ Compare_cost( Self const* aAlgorithm ) : algorithm_(aAlgorithm) {
+ }
+
+ bool operator() ( Edge_handle a, Edge_handle b ) const
+ {
+ // NOTE: A cost is an optional<> value.
+ // Absent optionals are ordered first; that is, "none < T" and "T > none" for any defined T != none.
+ // In consequence, edges with undefined costs will be promoted to the top of the priority queue and poped out first.
+ return algorithm_->get_data(a).cost() < algorithm_->get_data(b).cost();
+ }
+
+ Self const* algorithm_ ;
+
+ } ;
+
+ struct Undirected_edge_id : boost::put_get_helper<size_type, Undirected_edge_id>
+ {
+ typedef boost::readable_property_map_tag category;
+ typedef size_type value_type;
+ typedef size_type reference;
+ typedef Edge_handle key_type;
+
+ Undirected_edge_id() : algorithm_(0) {}
+
+ Undirected_edge_id( Self const* aAlgorithm ) : algorithm_(aAlgorithm) {}
+
+ size_type operator[] ( Edge_handle e ) const { return algorithm_->get_undirected_edge_id(e); }
+
+ Self const* algorithm_ ;
+ } ;
+
+ typedef CGAL::Modifiable_priority_queue<Edge_handle,Compare_cost,Undirected_edge_id> PQ ;
+ typedef typename PQ::handle pq_handle ;
+
+
+ // An Edge_data is associated with EVERY edge in the complex (collapsible or not).
+ // It relates the edge with the PQ-handle needed to update the priority queue
+ // It also relates the edge with a policy-based cache
+ class Edge_data
+ {
+ public :
+
+ Edge_data() : PQHandle_(),cost_() {}
+
+ Cost_type const& cost() const { return cost_ ; }
+ Cost_type & cost() { return cost_ ; }
+
+ pq_handle PQ_handle() const { return PQHandle_ ;}
+
+ bool is_in_PQ() const { return PQHandle_ != PQ::null_handle() ; }
+
+ void set_PQ_handle( pq_handle h ) { PQHandle_ = h ; }
+
+ void reset_PQ_handle() { PQHandle_ = PQ::null_handle() ; }
+
+ private:
+ pq_handle PQHandle_ ;
+ Cost_type cost_ ;
+
+ } ;
+ typedef Edge_data* Edge_data_ptr ;
+ typedef boost::scoped_array<Edge_data> Edge_data_array ;
+
+
+ int get_undirected_edge_id ( Edge_handle edge ) const {
+ return complex_[edge].index() ;
+ }
+
+
+ const Edge_data& get_data ( Edge_handle edge ) const
+ {
+ return edge_data_array_[get_undirected_edge_id(edge)];
+ }
+
+
+ Edge_data& get_data ( Edge_handle edge )
+ {
+ return edge_data_array_[get_undirected_edge_id(edge)];
+ }
+
+ Cost_type get_cost(const Profile & profile) const{
+ return (*cost_policy_)(profile,get_placement(profile));
+ }
+
+ Profile create_profile(Edge_handle edge) const{
+ if(edge_profile_factory_)
+ return edge_profile_factory_->make_profile(complex_,edge);
+ else
+ return Profile(complex_,edge);
+ }
+
+
+ void insert_in_PQ( Edge_handle edge, Edge_data& data )
+ {
+ data.set_PQ_handle(heap_PQ_->push(edge));
+ ++current_num_edges_heap_;
+ }
+
+ void update_in_PQ( Edge_handle edge, Edge_data& data )
+ {
+ data.set_PQ_handle(heap_PQ_->update(edge,data.PQ_handle())) ;
+ }
+
+ void remove_from_PQ( Edge_handle edge, Edge_data& data )
+ {
+ data.set_PQ_handle(heap_PQ_->erase(edge,data.PQ_handle()));
+ --current_num_edges_heap_;
+ }
+
+ boost::optional<Edge_handle> pop_from_PQ() {
+ boost::optional<Edge_handle> edge = heap_PQ_->extract_top();
+ if ( edge )
+ {
+ get_data(*edge).reset_PQ_handle();
+ }
+ return edge ;
+ }
+
+
+
+private:
+
+ /**
+ * @brief Collect edges.
+ *
+ * Iterates over all edges of the simplicial complex and
+ * 1) inserts them in the priority queue sorted according to the Cost policy.
+ * 2) set the id() field of each edge
+ */
+ void collect_edges(){
+ //
+ // Loop over all the edges in the complex in the heap
+ //
+ size_type size = complex_.num_edges();
+ DBG("Collecting edges ...");
+ DBGMSG("num edges :",size);
+
+ edge_data_array_.reset( new Edge_data[size] ) ;
+
+ heap_PQ_.reset( new PQ (size, Compare_cost(this), Undirected_edge_id(this) ) ) ;
+
+ std::size_t id = 0 ;
+
+ //xxx do a parralel for
+ for(auto edge : complex_.edge_range()){
+ // Edge_handle edge = *edge_it;
+ complex_[edge].index() = id++;
+ Profile const& profile = create_profile(edge);
+ Edge_data& data = get_data(edge);
+ data.cost() = get_cost(profile) ;
+ ++initial_num_edges_heap_;
+ insert_in_PQ(edge,data);
+ if(contraction_visitor_) contraction_visitor_->on_collected(profile,data.cost());
+ }
+
+ DBG("Edges collected.");
+
+ }
+
+ bool should_stop(double lCost,const Profile &profile) const{
+ return false;
+ }
+
+ boost::optional<Point> get_placement(const Profile& profile) const{
+ return (*placement_policy_)(profile);
+ }
+
+ bool is_contraction_valid( Profile const& profile, Placement_type placement ) const{
+ return (*valid_contraction_policy_)(profile,placement);
+ }
+
+
+public:
+ /**
+ * \brief Contract edges.
+ *
+ * While the heap is not empty, it extracts the edge with the minimum
+ * cost in the heap then try to contract it.
+ * It stops when the Stop policy says so or when the number of contractions
+ * given by 'num_max_contractions' is reached (if this number is positive).
+ */
+ void contract_edges(int num_max_contractions=-1){
+
+ DBG("\n\nContract edges");
+ int num_contraction = 0 ;
+
+ bool unspecified_num_contractions = (num_max_contractions == -1);
+ //
+ // Pops and processes each edge from the PQ
+ //
+ boost::optional<Edge_handle> edge ;
+ while ( (edge = pop_from_PQ())&& ((num_contraction<num_max_contractions)||(unspecified_num_contractions)))
+ {
+ Profile const& profile = create_profile(*edge);
+ Cost_type cost(get_data(*edge).cost());
+ if(contraction_visitor_) contraction_visitor_->on_selected(profile,cost,0,0);
+
+ DBGMSG("\n\n---- Pop edge - num vertices :",complex_.num_vertices());
+
+ if (cost){
+ DBGMSG("sqrt(cost):",std::sqrt(*cost));
+ if (should_stop(*cost,profile) )
+ {
+ if(contraction_visitor_) contraction_visitor_->on_stop_condition_reached(profile);
+ DBG("should_stop");
+ break ;
+ }
+ Placement_type placement = get_placement(profile);
+ if ( is_contraction_valid(profile,placement) && placement )
+ {
+ DBG("contraction_valid");
+ contract_edge(profile,placement);
+ ++ num_contraction;
+ }
+ else
+ {
+ DBG("contraction not valid");
+ if(contraction_visitor_) contraction_visitor_->on_non_valid(profile);
+ }
+ }
+ else
+ {
+ DBG("uncomputable cost");
+ }
+ }
+ }
+
+
+ bool is_in_heap(Edge_handle edge) const{
+ if(heap_PQ_->empty()) return false;
+ else{
+ return edge_data_array_[get_undirected_edge_id(edge)].is_in_PQ();
+ }
+ }
+
+ bool is_heap_empty() const{
+ return heap_PQ_->empty();
+ }
+
+
+ /**
+ * @brief Returns an Edge_handle and a Placement_type. This pair consists in
+ * the edge with the lowest cost in the heap together with its placement.
+ * The returned value is initialized iff the heap is non-empty.
+ */
+ boost::optional<std::pair<Edge_handle,Placement_type > > top_edge(){
+ boost::optional<std::pair<Edge_handle,Placement_type > > res;
+
+ if(!heap_PQ_->empty()) {
+ auto edge = heap_PQ_->top();
+ Profile const& profile = create_profile(edge);
+ Placement_type placement = get_placement(profile);
+ res = make_pair(edge,placement);
+ DBGMSG("top edge:",complex_[edge]);
+
+ }
+ return res;
+ }
+
+
+ /**
+ * @brief Constructor with default policies.
+ *
+ * @details The default cost, placement, valid and visitor policies
+ * are respectively : the edge length, the first point, the link condition
+ */
+ Skeleton_blocker_contractor(GeometricSimplifiableComplex& complex)
+ :complex_(complex),
+ cost_policy_(new Edge_length_cost<Profile>),
+ placement_policy_(new First_vertex_placement<Profile>),
+ valid_contraction_policy_(new Link_condition_valid_contraction<Profile>),
+ contraction_visitor_(new Contraction_visitor_()),
+ edge_profile_factory_(0),
+ initial_num_edges_heap_(0),
+ current_num_edges_heap_(0)
+ {
+ complex_.set_visitor(this);
+ if(contraction_visitor_) contraction_visitor_->on_started(complex);
+ collect_edges();
+ }
+
+ /**
+ * @brief Constructor with customed policies.
+ * @remark Policies destruction is handle by the class with smart pointers.
+ */
+ Skeleton_blocker_contractor(GeometricSimplifiableComplex& complex,
+ Cost_policy_ *cost_policy,
+ Placement_policy_ * placement_policy = new First_vertex_placement<Profile>,
+ Valid_contraction_policy_ * valid_contraction_policy = new Link_condition_valid_contraction<Profile>,
+ Contraction_visitor_* contraction_visitor = new Contraction_visitor_(),
+ Edge_profile_factory_* edge_profile_factory = NULL
+ ):
+ complex_(complex),
+ cost_policy_(cost_policy),
+ placement_policy_(placement_policy),
+ valid_contraction_policy_(valid_contraction_policy),
+ contraction_visitor_(contraction_visitor),
+ edge_profile_factory_(edge_profile_factory),
+ initial_num_edges_heap_(0),
+ current_num_edges_heap_(0)
+ {
+ complex_.set_visitor(this);
+ if(contraction_visitor) contraction_visitor->on_started(complex);
+ collect_edges();
+ }
+
+
+ ~Skeleton_blocker_contractor(){
+ complex_.set_visitor(0);
+ }
+
+private:
+
+
+ void contract_edge(const Profile& profile, Placement_type placement ) {
+ if(contraction_visitor_) contraction_visitor_->on_contracting(profile,placement);
+
+ assert(complex_.contains_vertex(profile.v0_handle()));
+ assert(complex_.contains_vertex(profile.v1_handle()));
+ assert(placement);
+
+ profile.complex().point(profile.v0_handle()) = *placement;
+
+ // remark : this is not necessary since v1 will be deactivated
+ // profile.complex().point(profile.v1_handle()) = *placement;
+
+ complex_.contract_edge(profile.v0_handle(),profile.v1_handle());
+
+ assert(complex_.contains_vertex(profile.v0_handle()));
+ assert(!complex_.contains_vertex(profile.v1_handle()));
+
+ update_changed_edges();
+
+ // the visitor could do something as complex_.remove_popable_blockers();
+ if(contraction_visitor_) contraction_visitor_->on_contracted(profile,placement);
+ }
+
+private:
+
+ // every time the visitor's method on_changed_edge is called, it adds an
+ // edge to changed_edges_
+ std::vector< Edge_handle > changed_edges_;
+
+ /**
+ * @brief we update the cost and the position in the heap of an edge that has
+ * been changed
+ */
+ inline void on_changed_edge(Vertex_handle a,Vertex_handle b) override{
+ boost::optional<Edge_handle> ab(complex_[std::make_pair(a,b)]);
+ assert(ab);
+ changed_edges_.push_back(*ab);
+ }
+
+ void update_changed_edges(){
+ //xxx do a parralel for
+
+ DBG("update edges");
+
+ // sequential loop
+ for(auto ab : changed_edges_){
+ //1-get the Edge_handle corresponding to ab
+ //2-change the data in mEdgeArray[ab.id()]
+ //3-update the heap
+ Edge_data& data = get_data(ab);
+ Profile const& profile = create_profile(ab);
+ data.cost() = get_cost(profile) ;
+ if ( data.is_in_PQ()){
+ update_in_PQ(ab,data);
+ }
+ else{
+ insert_in_PQ(ab,data);
+ }
+ }
+ changed_edges_.clear();
+ }
+
+
+private:
+ void on_remove_edge(Vertex_handle a,Vertex_handle b) override{
+
+ boost::optional<Edge_handle> ab((complex_[std::make_pair(a,b)]));
+ assert(ab);
+ Edge_data& lData = get_data(*ab) ;
+ if ( lData.is_in_PQ() )
+ {
+ remove_from_PQ(*ab,lData) ;
+ }
+ }
+private:
+ /**
+ * @brief Called when the edge 'ax' has been added while the edge 'bx'
+ * is still there but will be removed on next instruction.
+ * We assign the index of 'bx' to the edge index of 'ax'
+ */
+ void on_swaped_edge(Vertex_handle a,Vertex_handle b,Vertex_handle x) override{
+ boost::optional<Edge_handle> ax(complex_[std::make_pair(a,x)]);
+ boost::optional<Edge_handle> bx(complex_[std::make_pair(b,x)]);
+ assert(ax&& bx);
+ complex_[*ax].index() =complex_[*bx].index();
+ }
+private:
+ /**
+ * @brief Called when a blocker is removed.
+ * All the edges that passes through the blocker may be edge-contractible
+ * again and are thus reinserted in the heap.
+ */
+ void on_delete_blocker(const Simplex_handle * blocker) override{
+ // we go for all pairs xy that belongs to the blocker
+ // note that such pairs xy are necessarily edges of the complex
+ // by definition of a blocker
+
+ // todo uniqument utile pour la link condition
+ // laisser ŕ l'utilisateur? booleen update_heap_on_removed_blocker?
+ Simplex_handle blocker_copy(*blocker);
+ for (auto x = blocker_copy.begin(); x!= blocker_copy.end(); ++x){
+ for(auto y=x ; ++y != blocker_copy.end(); ){
+ auto edge_descr(complex_[std::make_pair(*x,*y)]);
+ assert(edge_descr);
+ Edge_data& data = get_data(*edge_descr);
+ Profile const& profile = create_profile(*edge_descr);
+ data.cost() = get_cost(profile) ;
+
+ // If the edge is already in the heap
+ // its priority has not changed.
+ // If the edge is not present, we reinsert it
+ // remark : we could also reinsert the edge
+ // only if it is valid
+ if ( !data.is_in_PQ() ){
+ insert_in_PQ(*edge_descr,data);
+ }
+ }
+ }
+ }
+
+
+private:
+ std::shared_ptr<Cost_policy_> cost_policy_;
+ std::shared_ptr<Placement_policy_> placement_policy_;
+ std::shared_ptr<Valid_contraction_policy_> valid_contraction_policy_;
+ std::shared_ptr<Contraction_visitor_> contraction_visitor_;
+
+ //in case the user wants to do something special when the edge profile
+ //are created (for instance add some info)
+ std::shared_ptr<Edge_profile_factory_> edge_profile_factory_;
+ Edge_data_array edge_data_array_ ;
+
+ boost::scoped_ptr<PQ> heap_PQ_ ;
+ int initial_num_edges_heap_;
+ int current_num_edges_heap_;
+
+};
+
+} // namespace contraction
+} // namespace GUDHI
+
+#endif /* GUDHI_SKELETON_BLOCKER_CONTRACTOR_H_ */
diff --git a/src/Contraction/test/CMakeLists.txt b/src/Contraction/test/CMakeLists.txt
new file mode 100644
index 00000000..049b4ea1
--- /dev/null
+++ b/src/Contraction/test/CMakeLists.txt
@@ -0,0 +1,6 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHIskbl)
+
+add_executable ( TestContraction TestContraction.cpp )
+
+
diff --git a/src/Contraction/test/TestContraction.cpp b/src/Contraction/test/TestContraction.cpp
new file mode 100644
index 00000000..f0604396
--- /dev/null
+++ b/src/Contraction/test/TestContraction.cpp
@@ -0,0 +1,186 @@
+/*
+ * TestContraction.cxx
+ *
+ * Created on: Feb 11, 2014
+ * Author: dsalinas
+ */
+#include <ctime>
+#include <list>
+
+#include "combinatorics/Skeleton_blocker/Skeleton_blocker_simple_traits.h"
+#include "geometry/Skeleton_blocker_simple_geometric_traits.h"
+//#include "Skeleton_blocker/Simplex.h"
+#include "contraction/Skeleton_blocker_contractor.h"
+#include "Utils.h"
+#include "iofile.h"
+#include "Test.h"
+#include "Skeleton_blocker_geometric_complex.h"
+//#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+
+
+#include "contraction/Edge_profile.h"
+
+#include "contraction/policies/Cost_policy.h"
+#include "contraction/policies/Edge_length_cost.h"
+#include "contraction/policies/Placement_policy.h"
+#include "contraction/policies/Middle_placement.h"
+
+#include "contraction/policies/Valid_contraction_policy.h"
+#include "contraction/policies/Dummy_valid_contraction.h"
+#include "contraction/policies/Link_condition_valid_contraction.h"
+
+
+using namespace std;
+
+using namespace Gudhi;
+
+using namespace skbl;
+
+struct Geometry_trait{
+ typedef std::vector<double> Point;
+};
+
+typedef Geometry_trait::Point Point;
+
+
+typedef Skeleton_blocker_complex<Skeleton_blocker_simple_traits> AbstractComplex;
+typedef Skeleton_blocker_simple_geometric_traits<Geometry_trait> Complex_geometric_traits;
+
+
+typedef Skeleton_blocker_geometric_complex< Complex_geometric_traits > Complex;
+
+typedef Complex::Vertex_handle Vertex_handle;
+typedef Complex::Simplex_handle Simplex_handle;
+
+typedef Complex::Root_vertex_handle Root_vertex_handle;
+
+using namespace contraction;
+
+typedef Skeleton_blocker_contractor<Complex> Complex_contractor;
+
+typedef Edge_profile<Complex> Profile;
+
+// compute the distance todo utiliser Euclidean_geometry a la place
+template<typename Point>
+double eucl_distance(const Point& a,const Point& b){
+ double res = 0;
+ auto a_coord = a.begin();
+ auto b_coord = b.begin();
+ for(; a_coord != a.end(); a_coord++, b_coord++){
+ res += (*a_coord - *b_coord) * (*a_coord - *b_coord);
+ }
+ return sqrt(res);
+}
+
+// build the Rips complex todo utiliser Euclidean_geometry a la place
+template<typename ComplexType>
+void build_rips(ComplexType& complex, double offset){
+ if (offset<=0) return;
+ auto vertices = complex.vertex_range();
+ for (auto p = vertices.begin(); p != vertices.end(); ++p)
+ for (auto q = p; ++q != vertices.end(); /**/)
+ if (eucl_distance(complex.point(*p), complex.point(*q)) < 2 * offset){
+ complex.add_edge(*p,*q);
+ }
+}
+
+
+
+
+void test_contraction_rips(string name_file, double offset){
+ Complex complex;
+ // load the points
+ if (!read_off_file<Complex>(name_file,complex,true)){
+ std::cerr << "Unable to read file:"<<name_file<<std::endl;
+ std::cerr << "current path : ";
+ system("pwd");
+ std::cerr<<endl;
+ return;
+ }
+
+ clock_t time = clock();
+
+ TEST("build the Rips complex");
+
+ build_rips(complex,offset);
+
+ std::cerr << "Rips contruction took "<< ( (float)(clock()-time))/CLOCKS_PER_SEC << " seconds\n";
+
+ TESTMSG("Initial number of vertices :",complex.num_vertices());
+ TESTMSG("Initial number of edges :",complex.num_edges());
+ TESTMSG("Initial number of blockers:",complex.num_blockers());
+
+ time = clock();
+
+ Complex_contractor contractor(complex,
+ new Edge_length_cost<Profile>,
+ contraction::make_first_vertex_placement<Profile>(),
+ contraction::make_link_valid_contraction<Profile>(),
+ contraction::make_remove_popable_blockers_visitor<Profile>());
+ contractor.contract_edges();
+
+ TESTVALUE(complex.to_string());
+
+ TESTVALUE(complex.num_vertices());
+ TESTVALUE(complex.num_edges());
+ TESTVALUE(complex.num_blockers());
+
+ std::cerr << "Edge contractions took "<< ( (float)(clock()-time))/CLOCKS_PER_SEC << " seconds\n";
+
+}
+
+
+void test_geometric_link(){
+
+ Complex complex;
+ std::vector<double> p0(2,0);
+ std::vector<double> p1(2,0); p1[0] = 1.;
+ std::vector<double> p2(2,1);
+ complex.add_vertex(p0);
+ complex.add_vertex(p1);
+ complex.add_vertex(p2);
+
+ complex.add_edge(Vertex_handle(0),Vertex_handle(1));
+ complex.add_edge(Vertex_handle(1),Vertex_handle(2));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(0));
+
+
+
+ cerr << "complex points:" <<endl;
+ for(auto v : complex.vertex_range()){
+ cerr <<v <<" -> ";
+ DBGCONT(complex.point(v));
+ }
+
+ cerr << "complex : "<<complex.to_string()<<endl;
+
+
+
+
+ auto link = complex.link(Vertex_handle(0));
+
+
+ cerr << "link of 0 points:" <<endl;
+ for(auto v : link.vertex_range()){
+ cerr <<v <<" -> ";
+ DBGCONT(link.point(v));
+ }
+
+ cerr << "link : "<<link.to_string()<<endl;
+}
+
+
+
+
+int main (int argc, char *argv[])
+{
+ if (argc!=3){
+ std::cerr << "Usage "<<argv[0]<<" GUDHIPATH/src/data/sphere3D.off 0.1 to load the file GUDHIPATH/src/data/sphere3D.off and contract the Rips complex built with paremeter 0.2.\n";
+ return -1;
+ }
+
+ std::string name_file(argv[1]);
+ test_contraction_rips(name_file,atof(argv[2]));
+}
+
+
diff --git a/src/Doxyfile b/src/Doxyfile
new file mode 100644
index 00000000..3493d7c6
--- /dev/null
+++ b/src/Doxyfile
@@ -0,0 +1,2303 @@
+# Doxyfile 1.8.6
+
+# This file describes the settings to be used by the documentation system
+# doxygen (www.doxygen.org) for a project.
+#
+# All text after a double hash (##) is considered a comment and is placed in
+# front of the TAG it is preceding.
+#
+# All text after a single hash (#) is considered a comment and will be ignored.
+# The format is:
+# TAG = value [value, ...]
+# For lists, items can also be appended using:
+# TAG += value [value, ...]
+# Values that contain spaces should be placed between quotes (\" \").
+
+#---------------------------------------------------------------------------
+# Project related configuration options
+#---------------------------------------------------------------------------
+
+# This tag specifies the encoding used for all characters in the config file
+# that follow. The default is UTF-8 which is also the encoding used for all text
+# before the first occurrence of this tag. Doxygen uses libiconv (or the iconv
+# built into libc) for the transcoding. See http://www.gnu.org/software/libiconv
+# for the list of possible encodings.
+# The default value is: UTF-8.
+
+DOXYFILE_ENCODING = UTF-8
+
+# The PROJECT_NAME tag is a single word (or a sequence of words surrounded by
+# double-quotes, unless you are using Doxywizard) that should identify the
+# project for which the documentation is generated. This name is used in the
+# title of most generated pages and in a few other places.
+# The default value is: My Project.
+
+PROJECT_NAME = "Gudhi"
+
+# The PROJECT_NUMBER tag can be used to enter a project or revision number. This
+# could be handy for archiving the generated documentation or if some version
+# control system is used.
+
+PROJECT_NUMBER = "1.0.3"
+
+# Using the PROJECT_BRIEF tag one can provide an optional one line description
+# for a project that appears at the top of each page and should give viewer a
+# quick idea about the purpose of the project. Keep the description short.
+
+PROJECT_BRIEF =
+
+# With the PROJECT_LOGO tag one can specify an logo or icon that is included in
+# the documentation. The maximum height of the logo should not exceed 55 pixels
+# and the maximum width should not exceed 200 pixels. Doxygen will copy the logo
+# to the output directory.
+
+PROJECT_LOGO =
+
+# The OUTPUT_DIRECTORY tag is used to specify the (relative or absolute) path
+# into which the generated documentation will be written. If a relative path is
+# entered, it will be relative to the location where doxygen was started. If
+# left blank the current directory will be used.
+
+OUTPUT_DIRECTORY = "doc/"
+
+# If the CREATE_SUBDIRS tag is set to YES, then doxygen will create 4096 sub-
+# directories (in 2 levels) under the output directory of each output format and
+# will distribute the generated files over these directories. Enabling this
+# option can be useful when feeding doxygen a huge amount of source files, where
+# putting all generated files in the same directory would otherwise causes
+# performance problems for the file system.
+# The default value is: NO.
+
+CREATE_SUBDIRS = NO
+
+# The OUTPUT_LANGUAGE tag is used to specify the language in which all
+# documentation generated by doxygen is written. Doxygen will use this
+# information to generate all constant output in the proper language.
+# Possible values are: Afrikaans, Arabic, Armenian, Brazilian, Catalan, Chinese,
+# Chinese-Traditional, Croatian, Czech, Danish, Dutch, English (United States),
+# Esperanto, Farsi (Persian), Finnish, French, German, Greek, Hungarian,
+# Indonesian, Italian, Japanese, Japanese-en (Japanese with English messages),
+# Korean, Korean-en (Korean with English messages), Latvian, Lithuanian,
+# Macedonian, Norwegian, Persian (Farsi), Polish, Portuguese, Romanian, Russian,
+# Serbian, Serbian-Cyrillic, Slovak, Slovene, Spanish, Swedish, Turkish,
+# Ukrainian and Vietnamese.
+# The default value is: English.
+
+OUTPUT_LANGUAGE = English
+
+# If the BRIEF_MEMBER_DESC tag is set to YES doxygen will include brief member
+# descriptions after the members that are listed in the file and class
+# documentation (similar to Javadoc). Set to NO to disable this.
+# The default value is: YES.
+
+BRIEF_MEMBER_DESC = YES
+
+# If the REPEAT_BRIEF tag is set to YES doxygen will prepend the brief
+# description of a member or function before the detailed description
+#
+# Note: If both HIDE_UNDOC_MEMBERS and BRIEF_MEMBER_DESC are set to NO, the
+# brief descriptions will be completely suppressed.
+# The default value is: YES.
+
+REPEAT_BRIEF = YES
+
+# This tag implements a quasi-intelligent brief description abbreviator that is
+# used to form the text in various listings. Each string in this list, if found
+# as the leading text of the brief description, will be stripped from the text
+# and the result, after processing the whole list, is used as the annotated
+# text. Otherwise, the brief description is used as-is. If left blank, the
+# following values are used ($name is automatically replaced with the name of
+# the entity):The $name class, The $name widget, The $name file, is, provides,
+# specifies, contains, represents, a, an and the.
+
+ABBREVIATE_BRIEF =
+
+# If the ALWAYS_DETAILED_SEC and REPEAT_BRIEF tags are both set to YES then
+# doxygen will generate a detailed section even if there is only a brief
+# description.
+# The default value is: NO.
+
+ALWAYS_DETAILED_SEC = NO
+
+# If the INLINE_INHERITED_MEMB tag is set to YES, doxygen will show all
+# inherited members of a class in the documentation of that class as if those
+# members were ordinary class members. Constructors, destructors and assignment
+# operators of the base classes will not be shown.
+# The default value is: NO.
+
+INLINE_INHERITED_MEMB = NO
+
+# If the FULL_PATH_NAMES tag is set to YES doxygen will prepend the full path
+# before files name in the file list and in the header files. If set to NO the
+# shortest path that makes the file name unique will be used
+# The default value is: YES.
+
+FULL_PATH_NAMES = YES
+
+# The STRIP_FROM_PATH tag can be used to strip a user-defined part of the path.
+# Stripping is only done if one of the specified strings matches the left-hand
+# part of the path. The tag can be used to show relative paths in the file list.
+# If left blank the directory from which doxygen is run is used as the path to
+# strip.
+#
+# Note that you can specify absolute paths here, but also relative paths, which
+# will be relative from the directory where doxygen is started.
+# This tag requires that the tag FULL_PATH_NAMES is set to YES.
+
+STRIP_FROM_PATH =
+
+# The STRIP_FROM_INC_PATH tag can be used to strip a user-defined part of the
+# path mentioned in the documentation of a class, which tells the reader which
+# header file to include in order to use a class. If left blank only the name of
+# the header file containing the class definition is used. Otherwise one should
+# specify the list of include paths that are normally passed to the compiler
+# using the -I flag.
+
+STRIP_FROM_INC_PATH =
+
+# If the SHORT_NAMES tag is set to YES, doxygen will generate much shorter (but
+# less readable) file names. This can be useful is your file systems doesn't
+# support long names like on DOS, Mac, or CD-ROM.
+# The default value is: NO.
+
+SHORT_NAMES = NO
+
+# If the JAVADOC_AUTOBRIEF tag is set to YES then doxygen will interpret the
+# first line (until the first dot) of a Javadoc-style comment as the brief
+# description. If set to NO, the Javadoc-style will behave just like regular Qt-
+# style comments (thus requiring an explicit @brief command for a brief
+# description.)
+# The default value is: NO.
+
+JAVADOC_AUTOBRIEF = NO
+
+# If the QT_AUTOBRIEF tag is set to YES then doxygen will interpret the first
+# line (until the first dot) of a Qt-style comment as the brief description. If
+# set to NO, the Qt-style will behave just like regular Qt-style comments (thus
+# requiring an explicit \brief command for a brief description.)
+# The default value is: NO.
+
+QT_AUTOBRIEF = NO
+
+# The MULTILINE_CPP_IS_BRIEF tag can be set to YES to make doxygen treat a
+# multi-line C++ special comment block (i.e. a block of //! or /// comments) as
+# a brief description. This used to be the default behavior. The new default is
+# to treat a multi-line C++ comment block as a detailed description. Set this
+# tag to YES if you prefer the old behavior instead.
+#
+# Note that setting this tag to YES also means that rational rose comments are
+# not recognized any more.
+# The default value is: NO.
+
+MULTILINE_CPP_IS_BRIEF = NO
+
+# If the INHERIT_DOCS tag is set to YES then an undocumented member inherits the
+# documentation from any documented member that it re-implements.
+# The default value is: YES.
+
+INHERIT_DOCS = YES
+
+# If the SEPARATE_MEMBER_PAGES tag is set to YES, then doxygen will produce a
+# new page for each member. If set to NO, the documentation of a member will be
+# part of the file/class/namespace that contains it.
+# The default value is: NO.
+
+SEPARATE_MEMBER_PAGES = NO
+
+# The TAB_SIZE tag can be used to set the number of spaces in a tab. Doxygen
+# uses this value to replace tabs by spaces in code fragments.
+# Minimum value: 1, maximum value: 16, default value: 4.
+
+TAB_SIZE = 4
+
+# This tag can be used to specify a number of aliases that act as commands in
+# the documentation. An alias has the form:
+# name=value
+# For example adding
+# "sideeffect=@par Side Effects:\n"
+# will allow you to put the command \sideeffect (or @sideeffect) in the
+# documentation, which will result in a user-defined paragraph with heading
+# "Side Effects:". You can put \n's in the value part of an alias to insert
+# newlines.
+
+ALIASES =
+
+# This tag can be used to specify a number of word-keyword mappings (TCL only).
+# A mapping has the form "name=value". For example adding "class=itcl::class"
+# will allow you to use the command class in the itcl::class meaning.
+
+TCL_SUBST =
+
+# Set the OPTIMIZE_OUTPUT_FOR_C tag to YES if your project consists of C sources
+# only. Doxygen will then generate output that is more tailored for C. For
+# instance, some of the names that are used will be different. The list of all
+# members will be omitted, etc.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_FOR_C = NO
+
+# Set the OPTIMIZE_OUTPUT_JAVA tag to YES if your project consists of Java or
+# Python sources only. Doxygen will then generate output that is more tailored
+# for that language. For instance, namespaces will be presented as packages,
+# qualified scopes will look different, etc.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_JAVA = NO
+
+# Set the OPTIMIZE_FOR_FORTRAN tag to YES if your project consists of Fortran
+# sources. Doxygen will then generate output that is tailored for Fortran.
+# The default value is: NO.
+
+OPTIMIZE_FOR_FORTRAN = NO
+
+# Set the OPTIMIZE_OUTPUT_VHDL tag to YES if your project consists of VHDL
+# sources. Doxygen will then generate output that is tailored for VHDL.
+# The default value is: NO.
+
+OPTIMIZE_OUTPUT_VHDL = NO
+
+# Doxygen selects the parser to use depending on the extension of the files it
+# parses. With this tag you can assign which parser to use for a given
+# extension. Doxygen has a built-in mapping, but you can override or extend it
+# using this tag. The format is ext=language, where ext is a file extension, and
+# language is one of the parsers supported by doxygen: IDL, Java, Javascript,
+# C#, C, C++, D, PHP, Objective-C, Python, Fortran, VHDL. For instance to make
+# doxygen treat .inc files as Fortran files (default is PHP), and .f files as C
+# (default is Fortran), use: inc=Fortran f=C.
+#
+# Note For files without extension you can use no_extension as a placeholder.
+#
+# Note that for custom extensions you also need to set FILE_PATTERNS otherwise
+# the files are not read by doxygen.
+
+EXTENSION_MAPPING =
+
+# If the MARKDOWN_SUPPORT tag is enabled then doxygen pre-processes all comments
+# according to the Markdown format, which allows for more readable
+# documentation. See http://daringfireball.net/projects/markdown/ for details.
+# The output of markdown processing is further processed by doxygen, so you can
+# mix doxygen, HTML, and XML commands with Markdown formatting. Disable only in
+# case of backward compatibilities issues.
+# The default value is: YES.
+
+MARKDOWN_SUPPORT = YES
+
+# When enabled doxygen tries to link words that correspond to documented
+# classes, or namespaces to their corresponding documentation. Such a link can
+# be prevented in individual cases by by putting a % sign in front of the word
+# or globally by setting AUTOLINK_SUPPORT to NO.
+# The default value is: YES.
+
+AUTOLINK_SUPPORT = YES
+
+# If you use STL classes (i.e. std::string, std::vector, etc.) but do not want
+# to include (a tag file for) the STL sources as input, then you should set this
+# tag to YES in order to let doxygen match functions declarations and
+# definitions whose arguments contain STL classes (e.g. func(std::string);
+# versus func(std::string) {}). This also make the inheritance and collaboration
+# diagrams that involve STL classes more complete and accurate.
+# The default value is: NO.
+
+BUILTIN_STL_SUPPORT = NO
+
+# If you use Microsoft's C++/CLI language, you should set this option to YES to
+# enable parsing support.
+# The default value is: NO.
+
+CPP_CLI_SUPPORT = NO
+
+# Set the SIP_SUPPORT tag to YES if your project consists of sip (see:
+# http://www.riverbankcomputing.co.uk/software/sip/intro) sources only. Doxygen
+# will parse them like normal C++ but will assume all classes use public instead
+# of private inheritance when no explicit protection keyword is present.
+# The default value is: NO.
+
+SIP_SUPPORT = NO
+
+# For Microsoft's IDL there are propget and propput attributes to indicate
+# getter and setter methods for a property. Setting this option to YES will make
+# doxygen to replace the get and set methods by a property in the documentation.
+# This will only work if the methods are indeed getting or setting a simple
+# type. If this is not the case, or you want to show the methods anyway, you
+# should set this option to NO.
+# The default value is: YES.
+
+IDL_PROPERTY_SUPPORT = YES
+
+# If member grouping is used in the documentation and the DISTRIBUTE_GROUP_DOC
+# tag is set to YES, then doxygen will reuse the documentation of the first
+# member in the group (if any) for the other members of the group. By default
+# all members of a group must be documented explicitly.
+# The default value is: NO.
+
+DISTRIBUTE_GROUP_DOC = NO
+
+# Set the SUBGROUPING tag to YES to allow class member groups of the same type
+# (for instance a group of public functions) to be put as a subgroup of that
+# type (e.g. under the Public Functions section). Set it to NO to prevent
+# subgrouping. Alternatively, this can be done per class using the
+# \nosubgrouping command.
+# The default value is: YES.
+
+SUBGROUPING = YES
+
+# When the INLINE_GROUPED_CLASSES tag is set to YES, classes, structs and unions
+# are shown inside the group in which they are included (e.g. using \ingroup)
+# instead of on a separate page (for HTML and Man pages) or section (for LaTeX
+# and RTF).
+#
+# Note that this feature does not work in combination with
+# SEPARATE_MEMBER_PAGES.
+# The default value is: NO.
+
+INLINE_GROUPED_CLASSES = NO
+
+# When the INLINE_SIMPLE_STRUCTS tag is set to YES, structs, classes, and unions
+# with only public data fields or simple typedef fields will be shown inline in
+# the documentation of the scope in which they are defined (i.e. file,
+# namespace, or group documentation), provided this scope is documented. If set
+# to NO, structs, classes, and unions are shown on a separate page (for HTML and
+# Man pages) or section (for LaTeX and RTF).
+# The default value is: NO.
+
+INLINE_SIMPLE_STRUCTS = NO
+
+# When TYPEDEF_HIDES_STRUCT tag is enabled, a typedef of a struct, union, or
+# enum is documented as struct, union, or enum with the name of the typedef. So
+# typedef struct TypeS {} TypeT, will appear in the documentation as a struct
+# with name TypeT. When disabled the typedef will appear as a member of a file,
+# namespace, or class. And the struct will be named TypeS. This can typically be
+# useful for C code in case the coding convention dictates that all compound
+# types are typedef'ed and only the typedef is referenced, never the tag name.
+# The default value is: NO.
+
+TYPEDEF_HIDES_STRUCT = NO
+
+# The size of the symbol lookup cache can be set using LOOKUP_CACHE_SIZE. This
+# cache is used to resolve symbols given their name and scope. Since this can be
+# an expensive process and often the same symbol appears multiple times in the
+# code, doxygen keeps a cache of pre-resolved symbols. If the cache is too small
+# doxygen will become slower. If the cache is too large, memory is wasted. The
+# cache size is given by this formula: 2^(16+LOOKUP_CACHE_SIZE). The valid range
+# is 0..9, the default is 0, corresponding to a cache size of 2^16=65536
+# symbols. At the end of a run doxygen will report the cache usage and suggest
+# the optimal cache size from a speed point of view.
+# Minimum value: 0, maximum value: 9, default value: 0.
+
+LOOKUP_CACHE_SIZE = 0
+
+#---------------------------------------------------------------------------
+# Build related configuration options
+#---------------------------------------------------------------------------
+
+# If the EXTRACT_ALL tag is set to YES doxygen will assume all entities in
+# documentation are documented, even if no documentation was available. Private
+# class members and static file members will be hidden unless the
+# EXTRACT_PRIVATE respectively EXTRACT_STATIC tags are set to YES.
+# Note: This will also disable the warnings about undocumented members that are
+# normally produced when WARNINGS is set to YES.
+# The default value is: NO.
+
+EXTRACT_ALL = NO
+
+# If the EXTRACT_PRIVATE tag is set to YES all private members of a class will
+# be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PRIVATE = NO
+
+# If the EXTRACT_PACKAGE tag is set to YES all members with package or internal
+# scope will be included in the documentation.
+# The default value is: NO.
+
+EXTRACT_PACKAGE = NO
+
+# If the EXTRACT_STATIC tag is set to YES all static members of a file will be
+# included in the documentation.
+# The default value is: NO.
+
+EXTRACT_STATIC = NO
+
+# If the EXTRACT_LOCAL_CLASSES tag is set to YES classes (and structs) defined
+# locally in source files will be included in the documentation. If set to NO
+# only classes defined in header files are included. Does not have any effect
+# for Java sources.
+# The default value is: YES.
+
+EXTRACT_LOCAL_CLASSES = NO
+
+# This flag is only useful for Objective-C code. When set to YES local methods,
+# which are defined in the implementation section but not in the interface are
+# included in the documentation. If set to NO only methods in the interface are
+# included.
+# The default value is: NO.
+
+EXTRACT_LOCAL_METHODS = NO
+
+# If this flag is set to YES, the members of anonymous namespaces will be
+# extracted and appear in the documentation as a namespace called
+# 'anonymous_namespace{file}', where file will be replaced with the base name of
+# the file that contains the anonymous namespace. By default anonymous namespace
+# are hidden.
+# The default value is: NO.
+
+EXTRACT_ANON_NSPACES = NO
+
+# If the HIDE_UNDOC_MEMBERS tag is set to YES, doxygen will hide all
+# undocumented members inside documented classes or files. If set to NO these
+# members will be included in the various overviews, but no documentation
+# section is generated. This option has no effect if EXTRACT_ALL is enabled.
+# The default value is: NO.
+
+HIDE_UNDOC_MEMBERS = YES
+
+# If the HIDE_UNDOC_CLASSES tag is set to YES, doxygen will hide all
+# undocumented classes that are normally visible in the class hierarchy. If set
+# to NO these classes will be included in the various overviews. This option has
+# no effect if EXTRACT_ALL is enabled.
+# The default value is: NO.
+
+HIDE_UNDOC_CLASSES = YES
+
+# If the HIDE_FRIEND_COMPOUNDS tag is set to YES, doxygen will hide all friend
+# (class|struct|union) declarations. If set to NO these declarations will be
+# included in the documentation.
+# The default value is: NO.
+
+HIDE_FRIEND_COMPOUNDS = NO
+
+# If the HIDE_IN_BODY_DOCS tag is set to YES, doxygen will hide any
+# documentation blocks found inside the body of a function. If set to NO these
+# blocks will be appended to the function's detailed documentation block.
+# The default value is: NO.
+
+HIDE_IN_BODY_DOCS = NO
+
+# The INTERNAL_DOCS tag determines if documentation that is typed after a
+# \internal command is included. If the tag is set to NO then the documentation
+# will be excluded. Set it to YES to include the internal documentation.
+# The default value is: NO.
+
+INTERNAL_DOCS = NO
+
+# If the CASE_SENSE_NAMES tag is set to NO then doxygen will only generate file
+# names in lower-case letters. If set to YES upper-case letters are also
+# allowed. This is useful if you have classes or files whose names only differ
+# in case and if your file system supports case sensitive file names. Windows
+# and Mac users are advised to set this option to NO.
+# The default value is: system dependent.
+
+CASE_SENSE_NAMES = NO
+
+# If the HIDE_SCOPE_NAMES tag is set to NO then doxygen will show members with
+# their full class and namespace scopes in the documentation. If set to YES the
+# scope will be hidden.
+# The default value is: NO.
+
+HIDE_SCOPE_NAMES = NO
+
+# If the SHOW_INCLUDE_FILES tag is set to YES then doxygen will put a list of
+# the files that are included by a file in the documentation of that file.
+# The default value is: YES.
+
+SHOW_INCLUDE_FILES = YES
+
+# If the SHOW_GROUPED_MEMB_INC tag is set to YES then Doxygen will add for each
+# grouped member an include statement to the documentation, telling the reader
+# which file to include in order to use the member.
+# The default value is: NO.
+
+SHOW_GROUPED_MEMB_INC = NO
+
+# If the FORCE_LOCAL_INCLUDES tag is set to YES then doxygen will list include
+# files with double quotes in the documentation rather than with sharp brackets.
+# The default value is: NO.
+
+FORCE_LOCAL_INCLUDES = NO
+
+# If the INLINE_INFO tag is set to YES then a tag [inline] is inserted in the
+# documentation for inline members.
+# The default value is: YES.
+
+INLINE_INFO = YES
+
+# If the SORT_MEMBER_DOCS tag is set to YES then doxygen will sort the
+# (detailed) documentation of file and class members alphabetically by member
+# name. If set to NO the members will appear in declaration order.
+# The default value is: YES.
+
+SORT_MEMBER_DOCS = YES
+
+# If the SORT_BRIEF_DOCS tag is set to YES then doxygen will sort the brief
+# descriptions of file, namespace and class members alphabetically by member
+# name. If set to NO the members will appear in declaration order. Note that
+# this will also influence the order of the classes in the class list.
+# The default value is: NO.
+
+SORT_BRIEF_DOCS = NO
+
+# If the SORT_MEMBERS_CTORS_1ST tag is set to YES then doxygen will sort the
+# (brief and detailed) documentation of class members so that constructors and
+# destructors are listed first. If set to NO the constructors will appear in the
+# respective orders defined by SORT_BRIEF_DOCS and SORT_MEMBER_DOCS.
+# Note: If SORT_BRIEF_DOCS is set to NO this option is ignored for sorting brief
+# member documentation.
+# Note: If SORT_MEMBER_DOCS is set to NO this option is ignored for sorting
+# detailed member documentation.
+# The default value is: NO.
+
+SORT_MEMBERS_CTORS_1ST = NO
+
+# If the SORT_GROUP_NAMES tag is set to YES then doxygen will sort the hierarchy
+# of group names into alphabetical order. If set to NO the group names will
+# appear in their defined order.
+# The default value is: NO.
+
+SORT_GROUP_NAMES = NO
+
+# If the SORT_BY_SCOPE_NAME tag is set to YES, the class list will be sorted by
+# fully-qualified names, including namespaces. If set to NO, the class list will
+# be sorted only by class name, not including the namespace part.
+# Note: This option is not very useful if HIDE_SCOPE_NAMES is set to YES.
+# Note: This option applies only to the class list, not to the alphabetical
+# list.
+# The default value is: NO.
+
+SORT_BY_SCOPE_NAME = NO
+
+# If the STRICT_PROTO_MATCHING option is enabled and doxygen fails to do proper
+# type resolution of all parameters of a function it will reject a match between
+# the prototype and the implementation of a member function even if there is
+# only one candidate or it is obvious which candidate to choose by doing a
+# simple string match. By disabling STRICT_PROTO_MATCHING doxygen will still
+# accept a match between prototype and implementation in such cases.
+# The default value is: NO.
+
+STRICT_PROTO_MATCHING = NO
+
+# The GENERATE_TODOLIST tag can be used to enable ( YES) or disable ( NO) the
+# todo list. This list is created by putting \todo commands in the
+# documentation.
+# The default value is: YES.
+
+GENERATE_TODOLIST = YES
+
+# The GENERATE_TESTLIST tag can be used to enable ( YES) or disable ( NO) the
+# test list. This list is created by putting \test commands in the
+# documentation.
+# The default value is: YES.
+
+GENERATE_TESTLIST = YES
+
+# The GENERATE_BUGLIST tag can be used to enable ( YES) or disable ( NO) the bug
+# list. This list is created by putting \bug commands in the documentation.
+# The default value is: YES.
+
+GENERATE_BUGLIST = YES
+
+# The GENERATE_DEPRECATEDLIST tag can be used to enable ( YES) or disable ( NO)
+# the deprecated list. This list is created by putting \deprecated commands in
+# the documentation.
+# The default value is: YES.
+
+GENERATE_DEPRECATEDLIST= YES
+
+# The ENABLED_SECTIONS tag can be used to enable conditional documentation
+# sections, marked by \if <section_label> ... \endif and \cond <section_label>
+# ... \endcond blocks.
+
+ENABLED_SECTIONS =
+
+# The MAX_INITIALIZER_LINES tag determines the maximum number of lines that the
+# initial value of a variable or macro / define can have for it to appear in the
+# documentation. If the initializer consists of more lines than specified here
+# it will be hidden. Use a value of 0 to hide initializers completely. The
+# appearance of the value of individual variables and macros / defines can be
+# controlled using \showinitializer or \hideinitializer command in the
+# documentation regardless of this setting.
+# Minimum value: 0, maximum value: 10000, default value: 30.
+
+MAX_INITIALIZER_LINES = 30
+
+# Set the SHOW_USED_FILES tag to NO to disable the list of files generated at
+# the bottom of the documentation of classes and structs. If set to YES the list
+# will mention the files that were used to generate the documentation.
+# The default value is: YES.
+
+SHOW_USED_FILES = YES
+
+# Set the SHOW_FILES tag to NO to disable the generation of the Files page. This
+# will remove the Files entry from the Quick Index and from the Folder Tree View
+# (if specified).
+# The default value is: YES.
+
+SHOW_FILES = YES
+
+# Set the SHOW_NAMESPACES tag to NO to disable the generation of the Namespaces
+# page. This will remove the Namespaces entry from the Quick Index and from the
+# Folder Tree View (if specified).
+# The default value is: YES.
+
+SHOW_NAMESPACES = YES
+
+# The FILE_VERSION_FILTER tag can be used to specify a program or script that
+# doxygen should invoke to get the current version for each file (typically from
+# the version control system). Doxygen will invoke the program by executing (via
+# popen()) the command command input-file, where command is the value of the
+# FILE_VERSION_FILTER tag, and input-file is the name of an input file provided
+# by doxygen. Whatever the program writes to standard output is used as the file
+# version. For an example see the documentation.
+
+FILE_VERSION_FILTER =
+
+# The LAYOUT_FILE tag can be used to specify a layout file which will be parsed
+# by doxygen. The layout file controls the global structure of the generated
+# output files in an output format independent way. To create the layout file
+# that represents doxygen's defaults, run doxygen with the -l option. You can
+# optionally specify a file name after the option, if omitted DoxygenLayout.xml
+# will be used as the name of the layout file.
+#
+# Note that if you run doxygen from a directory containing a file called
+# DoxygenLayout.xml, doxygen will parse it automatically even if the LAYOUT_FILE
+# tag is left empty.
+
+LAYOUT_FILE =
+
+# The CITE_BIB_FILES tag can be used to specify one or more bib files containing
+# the reference definitions. This must be a list of .bib files. The .bib
+# extension is automatically appended if omitted. This requires the bibtex tool
+# to be installed. See also http://en.wikipedia.org/wiki/BibTeX for more info.
+# For LaTeX the style of the bibliography can be controlled using
+# LATEX_BIB_STYLE. To use this feature you need bibtex and perl available in the
+# search path. Do not use file names with spaces, bibtex cannot handle them. See
+# also \cite for info how to create references.
+
+CITE_BIB_FILES = ../biblio/bibliography.bib
+
+#---------------------------------------------------------------------------
+# Configuration options related to warning and progress messages
+#---------------------------------------------------------------------------
+
+# The QUIET tag can be used to turn on/off the messages that are generated to
+# standard output by doxygen. If QUIET is set to YES this implies that the
+# messages are off.
+# The default value is: NO.
+
+QUIET = NO
+
+# The WARNINGS tag can be used to turn on/off the warning messages that are
+# generated to standard error ( stderr) by doxygen. If WARNINGS is set to YES
+# this implies that the warnings are on.
+#
+# Tip: Turn warnings on while writing the documentation.
+# The default value is: YES.
+
+WARNINGS = YES
+
+# If the WARN_IF_UNDOCUMENTED tag is set to YES, then doxygen will generate
+# warnings for undocumented members. If EXTRACT_ALL is set to YES then this flag
+# will automatically be disabled.
+# The default value is: YES.
+
+WARN_IF_UNDOCUMENTED = YES
+
+# If the WARN_IF_DOC_ERROR tag is set to YES, doxygen will generate warnings for
+# potential errors in the documentation, such as not documenting some parameters
+# in a documented function, or documenting parameters that don't exist or using
+# markup commands wrongly.
+# The default value is: YES.
+
+WARN_IF_DOC_ERROR = YES
+
+# This WARN_NO_PARAMDOC option can be enabled to get warnings for functions that
+# are documented, but have no documentation for their parameters or return
+# value. If set to NO doxygen will only warn about wrong or incomplete parameter
+# documentation, but not about the absence of documentation.
+# The default value is: NO.
+
+WARN_NO_PARAMDOC = NO
+
+# The WARN_FORMAT tag determines the format of the warning messages that doxygen
+# can produce. The string should contain the $file, $line, and $text tags, which
+# will be replaced by the file and line number from which the warning originated
+# and the warning text. Optionally the format may contain $version, which will
+# be replaced by the version of the file (if it could be obtained via
+# FILE_VERSION_FILTER)
+# The default value is: $file:$line: $text.
+
+WARN_FORMAT = "$file:$line: $text"
+
+# The WARN_LOGFILE tag can be used to specify a file to which warning and error
+# messages should be written. If left blank the output is written to standard
+# error (stderr).
+
+WARN_LOGFILE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the input files
+#---------------------------------------------------------------------------
+
+# The INPUT tag is used to specify the files and/or directories that contain
+# documented source files. You may enter file names like myfile.cpp or
+# directories like /usr/src/myproject. Separate the files or directories with
+# spaces.
+# Note: If this tag is empty the current directory is searched.
+
+INPUT =
+
+# This tag can be used to specify the character encoding of the source files
+# that doxygen parses. Internally doxygen uses the UTF-8 encoding. Doxygen uses
+# libiconv (or the iconv built into libc) for the transcoding. See the libiconv
+# documentation (see: http://www.gnu.org/software/libiconv) for the list of
+# possible encodings.
+# The default value is: UTF-8.
+
+INPUT_ENCODING = UTF-8
+
+# If the value of the INPUT tag contains directories, you can use the
+# FILE_PATTERNS tag to specify one or more wildcard patterns (like *.cpp and
+# *.h) to filter out the source-files in the directories. If left blank the
+# following patterns are tested:*.c, *.cc, *.cxx, *.cpp, *.c++, *.java, *.ii,
+# *.ixx, *.ipp, *.i++, *.inl, *.idl, *.ddl, *.odl, *.h, *.hh, *.hxx, *.hpp,
+# *.h++, *.cs, *.d, *.php, *.php4, *.php5, *.phtml, *.inc, *.m, *.markdown,
+# *.md, *.mm, *.dox, *.py, *.f90, *.f, *.for, *.tcl, *.vhd, *.vhdl, *.ucf,
+# *.qsf, *.as and *.js.
+
+FILE_PATTERNS =
+
+# The RECURSIVE tag can be used to specify whether or not subdirectories should
+# be searched for input files as well.
+# The default value is: NO.
+
+RECURSIVE = YES
+
+# The EXCLUDE tag can be used to specify files and/or directories that should be
+# excluded from the INPUT source files. This way you can easily exclude a
+# subdirectory from a directory tree whose root is specified with the INPUT tag.
+#
+# Note that relative paths are relative to the directory from which doxygen is
+# run.
+
+EXCLUDE =
+
+# The EXCLUDE_SYMLINKS tag can be used to select whether or not files or
+# directories that are symbolic links (a Unix file system feature) are excluded
+# from the input.
+# The default value is: NO.
+
+EXCLUDE_SYMLINKS = NO
+
+# If the value of the INPUT tag contains directories, you can use the
+# EXCLUDE_PATTERNS tag to specify one or more wildcard patterns to exclude
+# certain files from those directories.
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories for example use the pattern */test/*
+
+EXCLUDE_PATTERNS =
+
+# The EXCLUDE_SYMBOLS tag can be used to specify one or more symbol names
+# (namespaces, classes, functions, etc.) that should be excluded from the
+# output. The symbol name can be a fully qualified name, a word, or if the
+# wildcard * is used, a substring. Examples: ANamespace, AClass,
+# AClass::ANamespace, ANamespace::*Test
+#
+# Note that the wildcards are matched against the file with absolute path, so to
+# exclude all test directories use the pattern */test/*
+
+EXCLUDE_SYMBOLS =
+
+# The EXAMPLE_PATH tag can be used to specify one or more files or directories
+# that contain example code fragments that are included (see the \include
+# command).
+
+EXAMPLE_PATH =
+
+# If the value of the EXAMPLE_PATH tag contains directories, you can use the
+# EXAMPLE_PATTERNS tag to specify one or more wildcard pattern (like *.cpp and
+# *.h) to filter out the source-files in the directories. If left blank all
+# files are included.
+
+EXAMPLE_PATTERNS =
+
+# If the EXAMPLE_RECURSIVE tag is set to YES then subdirectories will be
+# searched for input files to be used with the \include or \dontinclude commands
+# irrespective of the value of the RECURSIVE tag.
+# The default value is: NO.
+
+EXAMPLE_RECURSIVE = NO
+
+# The IMAGE_PATH tag can be used to specify one or more files or directories
+# that contain images that are to be included in the documentation (see the
+# \image command).
+
+IMAGE_PATH = doc/
+
+# The INPUT_FILTER tag can be used to specify a program that doxygen should
+# invoke to filter for each input file. Doxygen will invoke the filter program
+# by executing (via popen()) the command:
+#
+# <filter> <input-file>
+#
+# where <filter> is the value of the INPUT_FILTER tag, and <input-file> is the
+# name of an input file. Doxygen will then use the output that the filter
+# program writes to standard output. If FILTER_PATTERNS is specified, this tag
+# will be ignored.
+#
+# Note that the filter must not add or remove lines; it is applied before the
+# code is scanned, but not when the output code is generated. If lines are added
+# or removed, the anchors will not be placed correctly.
+
+INPUT_FILTER =
+
+# The FILTER_PATTERNS tag can be used to specify filters on a per file pattern
+# basis. Doxygen will compare the file name with each pattern and apply the
+# filter if there is a match. The filters are a list of the form: pattern=filter
+# (like *.cpp=my_cpp_filter). See INPUT_FILTER for further information on how
+# filters are used. If the FILTER_PATTERNS tag is empty or if none of the
+# patterns match the file name, INPUT_FILTER is applied.
+
+FILTER_PATTERNS =
+
+# If the FILTER_SOURCE_FILES tag is set to YES, the input filter (if set using
+# INPUT_FILTER ) will also be used to filter the input files that are used for
+# producing the source files to browse (i.e. when SOURCE_BROWSER is set to YES).
+# The default value is: NO.
+
+FILTER_SOURCE_FILES = NO
+
+# The FILTER_SOURCE_PATTERNS tag can be used to specify source filters per file
+# pattern. A pattern will override the setting for FILTER_PATTERN (if any) and
+# it is also possible to disable source filtering for a specific pattern using
+# *.ext= (so without naming a filter).
+# This tag requires that the tag FILTER_SOURCE_FILES is set to YES.
+
+FILTER_SOURCE_PATTERNS =
+
+# If the USE_MDFILE_AS_MAINPAGE tag refers to the name of a markdown file that
+# is part of the input, its contents will be placed on the main page
+# (index.html). This can be useful if you have a project on for instance GitHub
+# and want to reuse the introduction page also for the doxygen output.
+
+USE_MDFILE_AS_MAINPAGE =
+
+#---------------------------------------------------------------------------
+# Configuration options related to source browsing
+#---------------------------------------------------------------------------
+
+# If the SOURCE_BROWSER tag is set to YES then a list of source files will be
+# generated. Documented entities will be cross-referenced with these sources.
+#
+# Note: To get rid of all source code in the generated output, make sure that
+# also VERBATIM_HEADERS is set to NO.
+# The default value is: NO.
+
+SOURCE_BROWSER = NO
+
+# Setting the INLINE_SOURCES tag to YES will include the body of functions,
+# classes and enums directly into the documentation.
+# The default value is: NO.
+
+INLINE_SOURCES = NO
+
+# Setting the STRIP_CODE_COMMENTS tag to YES will instruct doxygen to hide any
+# special comment blocks from generated source code fragments. Normal C, C++ and
+# Fortran comments will always remain visible.
+# The default value is: YES.
+
+STRIP_CODE_COMMENTS = YES
+
+# If the REFERENCED_BY_RELATION tag is set to YES then for each documented
+# function all documented functions referencing it will be listed.
+# The default value is: NO.
+
+REFERENCED_BY_RELATION = NO
+
+# If the REFERENCES_RELATION tag is set to YES then for each documented function
+# all documented entities called/used by that function will be listed.
+# The default value is: NO.
+
+REFERENCES_RELATION = NO
+
+# If the REFERENCES_LINK_SOURCE tag is set to YES and SOURCE_BROWSER tag is set
+# to YES, then the hyperlinks from functions in REFERENCES_RELATION and
+# REFERENCED_BY_RELATION lists will link to the source code. Otherwise they will
+# link to the documentation.
+# The default value is: YES.
+
+REFERENCES_LINK_SOURCE = YES
+
+# If SOURCE_TOOLTIPS is enabled (the default) then hovering a hyperlink in the
+# source code will show a tooltip with additional information such as prototype,
+# brief description and links to the definition and documentation. Since this
+# will make the HTML file larger and loading of large files a bit slower, you
+# can opt to disable this feature.
+# The default value is: YES.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+SOURCE_TOOLTIPS = YES
+
+# If the USE_HTAGS tag is set to YES then the references to source code will
+# point to the HTML generated by the htags(1) tool instead of doxygen built-in
+# source browser. The htags tool is part of GNU's global source tagging system
+# (see http://www.gnu.org/software/global/global.html). You will need version
+# 4.8.6 or higher.
+#
+# To use it do the following:
+# - Install the latest version of global
+# - Enable SOURCE_BROWSER and USE_HTAGS in the config file
+# - Make sure the INPUT points to the root of the source tree
+# - Run doxygen as normal
+#
+# Doxygen will invoke htags (and that will in turn invoke gtags), so these
+# tools must be available from the command line (i.e. in the search path).
+#
+# The result: instead of the source browser generated by doxygen, the links to
+# source code will now point to the output of htags.
+# The default value is: NO.
+# This tag requires that the tag SOURCE_BROWSER is set to YES.
+
+USE_HTAGS = NO
+
+# If the VERBATIM_HEADERS tag is set the YES then doxygen will generate a
+# verbatim copy of the header file for each class for which an include is
+# specified. Set to NO to disable this.
+# See also: Section \class.
+# The default value is: YES.
+
+VERBATIM_HEADERS = YES
+
+#---------------------------------------------------------------------------
+# Configuration options related to the alphabetical class index
+#---------------------------------------------------------------------------
+
+# If the ALPHABETICAL_INDEX tag is set to YES, an alphabetical index of all
+# compounds will be generated. Enable this if the project contains a lot of
+# classes, structs, unions or interfaces.
+# The default value is: YES.
+
+ALPHABETICAL_INDEX = YES
+
+# The COLS_IN_ALPHA_INDEX tag can be used to specify the number of columns in
+# which the alphabetical index list will be split.
+# Minimum value: 1, maximum value: 20, default value: 5.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+COLS_IN_ALPHA_INDEX = 5
+
+# In case all classes in a project start with a common prefix, all classes will
+# be put under the same header in the alphabetical index. The IGNORE_PREFIX tag
+# can be used to specify a prefix (or a list of prefixes) that should be ignored
+# while generating the index headers.
+# This tag requires that the tag ALPHABETICAL_INDEX is set to YES.
+
+IGNORE_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the HTML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_HTML tag is set to YES doxygen will generate HTML output
+# The default value is: YES.
+
+GENERATE_HTML = YES
+
+# The HTML_OUTPUT tag is used to specify where the HTML docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_OUTPUT = html
+
+# The HTML_FILE_EXTENSION tag can be used to specify the file extension for each
+# generated HTML page (for example: .htm, .php, .asp).
+# The default value is: .html.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FILE_EXTENSION = .html
+
+# The HTML_HEADER tag can be used to specify a user-defined HTML header file for
+# each generated HTML page. If the tag is left blank doxygen will generate a
+# standard header.
+#
+# To get valid HTML the header file that includes any scripts and style sheets
+# that doxygen needs, which is dependent on the configuration options used (e.g.
+# the setting GENERATE_TREEVIEW). It is highly recommended to start with a
+# default header using
+# doxygen -w html new_header.html new_footer.html new_stylesheet.css
+# YourConfigFile
+# and then modify the file new_header.html. See also section "Doxygen usage"
+# for information on how to generate the default header that doxygen normally
+# uses.
+# Note: The header is subject to change so you typically have to regenerate the
+# default header when upgrading to a newer version of doxygen. For a description
+# of the possible markers and block names see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_HEADER =
+
+# The HTML_FOOTER tag can be used to specify a user-defined HTML footer for each
+# generated HTML page. If the tag is left blank doxygen will generate a standard
+# footer. See HTML_HEADER for more information on how to generate a default
+# footer and what special commands can be used inside the footer. See also
+# section "Doxygen usage" for information on how to generate the default footer
+# that doxygen normally uses.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_FOOTER =
+
+# The HTML_STYLESHEET tag can be used to specify a user-defined cascading style
+# sheet that is used by each HTML page. It can be used to fine-tune the look of
+# the HTML output. If left blank doxygen will generate a default style sheet.
+# See also section "Doxygen usage" for information on how to generate the style
+# sheet that doxygen normally uses.
+# Note: It is recommended to use HTML_EXTRA_STYLESHEET instead of this tag, as
+# it is more robust and this tag (HTML_STYLESHEET) will in the future become
+# obsolete.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_STYLESHEET =
+
+# The HTML_EXTRA_STYLESHEET tag can be used to specify an additional user-
+# defined cascading style sheet that is included after the standard style sheets
+# created by doxygen. Using this option one can overrule certain style aspects.
+# This is preferred over using HTML_STYLESHEET since it does not replace the
+# standard style sheet and is therefor more robust against future updates.
+# Doxygen will copy the style sheet file to the output directory. For an example
+# see the documentation.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_STYLESHEET =
+
+# The HTML_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the HTML output directory. Note
+# that these files will be copied to the base HTML output directory. Use the
+# $relpath^ marker in the HTML_HEADER and/or HTML_FOOTER files to load these
+# files. In the HTML_STYLESHEET file, use the file name only. Also note that the
+# files will be copied as-is; there are no commands or markers available.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_EXTRA_FILES =
+
+# The HTML_COLORSTYLE_HUE tag controls the color of the HTML output. Doxygen
+# will adjust the colors in the stylesheet and background images according to
+# this color. Hue is specified as an angle on a colorwheel, see
+# http://en.wikipedia.org/wiki/Hue for more information. For instance the value
+# 0 represents red, 60 is yellow, 120 is green, 180 is cyan, 240 is blue, 300
+# purple, and 360 is red again.
+# Minimum value: 0, maximum value: 359, default value: 220.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_HUE = 220
+
+# The HTML_COLORSTYLE_SAT tag controls the purity (or saturation) of the colors
+# in the HTML output. For a value of 0 the output will use grayscales only. A
+# value of 255 will produce the most vivid colors.
+# Minimum value: 0, maximum value: 255, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_SAT = 100
+
+# The HTML_COLORSTYLE_GAMMA tag controls the gamma correction applied to the
+# luminance component of the colors in the HTML output. Values below 100
+# gradually make the output lighter, whereas values above 100 make the output
+# darker. The value divided by 100 is the actual gamma applied, so 80 represents
+# a gamma of 0.8, The value 220 represents a gamma of 2.2, and 100 does not
+# change the gamma.
+# Minimum value: 40, maximum value: 240, default value: 80.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_COLORSTYLE_GAMMA = 80
+
+# If the HTML_TIMESTAMP tag is set to YES then the footer of each generated HTML
+# page will contain the date and time when the page was generated. Setting this
+# to NO can help when comparing the output of multiple runs.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_TIMESTAMP = YES
+
+# If the HTML_DYNAMIC_SECTIONS tag is set to YES then the generated HTML
+# documentation will contain sections that can be hidden and shown after the
+# page has loaded.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_DYNAMIC_SECTIONS = NO
+
+# With HTML_INDEX_NUM_ENTRIES one can control the preferred number of entries
+# shown in the various tree structured indices initially; the user can expand
+# and collapse entries dynamically later on. Doxygen will expand the tree to
+# such a level that at most the specified number of entries are visible (unless
+# a fully collapsed tree already exceeds this amount). So setting the number of
+# entries 1 will produce a full collapsed tree by default. 0 is a special value
+# representing an infinite number of entries and will result in a full expanded
+# tree by default.
+# Minimum value: 0, maximum value: 9999, default value: 100.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+HTML_INDEX_NUM_ENTRIES = 100
+
+# If the GENERATE_DOCSET tag is set to YES, additional index files will be
+# generated that can be used as input for Apple's Xcode 3 integrated development
+# environment (see: http://developer.apple.com/tools/xcode/), introduced with
+# OSX 10.5 (Leopard). To create a documentation set, doxygen will generate a
+# Makefile in the HTML output directory. Running make will produce the docset in
+# that directory and running make install will install the docset in
+# ~/Library/Developer/Shared/Documentation/DocSets so that Xcode will find it at
+# startup. See http://developer.apple.com/tools/creatingdocsetswithdoxygen.html
+# for more information.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_DOCSET = NO
+
+# This tag determines the name of the docset feed. A documentation feed provides
+# an umbrella under which multiple documentation sets from a single provider
+# (such as a company or product suite) can be grouped.
+# The default value is: Doxygen generated docs.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_FEEDNAME = "Doxygen generated docs"
+
+# This tag specifies a string that should uniquely identify the documentation
+# set bundle. This should be a reverse domain-name style string, e.g.
+# com.mycompany.MyDocSet. Doxygen will append .docset to the name.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_BUNDLE_ID = org.doxygen.Project
+
+# The DOCSET_PUBLISHER_ID tag specifies a string that should uniquely identify
+# the documentation publisher. This should be a reverse domain-name style
+# string, e.g. com.mycompany.MyDocSet.documentation.
+# The default value is: org.doxygen.Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_ID = org.doxygen.Publisher
+
+# The DOCSET_PUBLISHER_NAME tag identifies the documentation publisher.
+# The default value is: Publisher.
+# This tag requires that the tag GENERATE_DOCSET is set to YES.
+
+DOCSET_PUBLISHER_NAME = Publisher
+
+# If the GENERATE_HTMLHELP tag is set to YES then doxygen generates three
+# additional HTML index files: index.hhp, index.hhc, and index.hhk. The
+# index.hhp is a project file that can be read by Microsoft's HTML Help Workshop
+# (see: http://www.microsoft.com/en-us/download/details.aspx?id=21138) on
+# Windows.
+#
+# The HTML Help Workshop contains a compiler that can convert all HTML output
+# generated by doxygen into a single compiled HTML file (.chm). Compiled HTML
+# files are now used as the Windows 98 help format, and will replace the old
+# Windows help format (.hlp) on all Windows platforms in the future. Compressed
+# HTML files also contain an index, a table of contents, and you can search for
+# words in the documentation. The HTML workshop also contains a viewer for
+# compressed HTML files.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_HTMLHELP = NO
+
+# The CHM_FILE tag can be used to specify the file name of the resulting .chm
+# file. You can add a path in front of the file if the result should not be
+# written to the html output directory.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_FILE =
+
+# The HHC_LOCATION tag can be used to specify the location (absolute path
+# including file name) of the HTML help compiler ( hhc.exe). If non-empty
+# doxygen will try to run the HTML help compiler on the generated index.hhp.
+# The file has to be specified with full path.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+HHC_LOCATION =
+
+# The GENERATE_CHI flag controls if a separate .chi index file is generated (
+# YES) or that it should be included in the master .chm file ( NO).
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+GENERATE_CHI = NO
+
+# The CHM_INDEX_ENCODING is used to encode HtmlHelp index ( hhk), content ( hhc)
+# and project file content.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+CHM_INDEX_ENCODING =
+
+# The BINARY_TOC flag controls whether a binary table of contents is generated (
+# YES) or a normal table of contents ( NO) in the .chm file.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+BINARY_TOC = NO
+
+# The TOC_EXPAND flag can be set to YES to add extra items for group members to
+# the table of contents of the HTML help documentation and to the tree view.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTMLHELP is set to YES.
+
+TOC_EXPAND = NO
+
+# If the GENERATE_QHP tag is set to YES and both QHP_NAMESPACE and
+# QHP_VIRTUAL_FOLDER are set, an additional index file will be generated that
+# can be used as input for Qt's qhelpgenerator to generate a Qt Compressed Help
+# (.qch) of the generated HTML documentation.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_QHP = NO
+
+# If the QHG_LOCATION tag is specified, the QCH_FILE tag can be used to specify
+# the file name of the resulting .qch file. The path specified is relative to
+# the HTML output folder.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QCH_FILE =
+
+# The QHP_NAMESPACE tag specifies the namespace to use when generating Qt Help
+# Project output. For more information please see Qt Help Project / Namespace
+# (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#namespace).
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_NAMESPACE = org.doxygen.Project
+
+# The QHP_VIRTUAL_FOLDER tag specifies the namespace to use when generating Qt
+# Help Project output. For more information please see Qt Help Project / Virtual
+# Folders (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#virtual-
+# folders).
+# The default value is: doc.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_VIRTUAL_FOLDER = doc
+
+# If the QHP_CUST_FILTER_NAME tag is set, it specifies the name of a custom
+# filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_NAME =
+
+# The QHP_CUST_FILTER_ATTRS tag specifies the list of the attributes of the
+# custom filter to add. For more information please see Qt Help Project / Custom
+# Filters (see: http://qt-project.org/doc/qt-4.8/qthelpproject.html#custom-
+# filters).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_CUST_FILTER_ATTRS =
+
+# The QHP_SECT_FILTER_ATTRS tag specifies the list of the attributes this
+# project's filter section matches. Qt Help Project / Filter Attributes (see:
+# http://qt-project.org/doc/qt-4.8/qthelpproject.html#filter-attributes).
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHP_SECT_FILTER_ATTRS =
+
+# The QHG_LOCATION tag can be used to specify the location of Qt's
+# qhelpgenerator. If non-empty doxygen will try to run qhelpgenerator on the
+# generated .qhp file.
+# This tag requires that the tag GENERATE_QHP is set to YES.
+
+QHG_LOCATION =
+
+# If the GENERATE_ECLIPSEHELP tag is set to YES, additional index files will be
+# generated, together with the HTML files, they form an Eclipse help plugin. To
+# install this plugin and make it available under the help contents menu in
+# Eclipse, the contents of the directory containing the HTML and XML files needs
+# to be copied into the plugins directory of eclipse. The name of the directory
+# within the plugins directory should be the same as the ECLIPSE_DOC_ID value.
+# After copying Eclipse needs to be restarted before the help appears.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_ECLIPSEHELP = NO
+
+# A unique identifier for the Eclipse help plugin. When installing the plugin
+# the directory name containing the HTML and XML files should also have this
+# name. Each documentation set should have its own identifier.
+# The default value is: org.doxygen.Project.
+# This tag requires that the tag GENERATE_ECLIPSEHELP is set to YES.
+
+ECLIPSE_DOC_ID = org.doxygen.Project
+
+# If you want full control over the layout of the generated HTML pages it might
+# be necessary to disable the index and replace it with your own. The
+# DISABLE_INDEX tag can be used to turn on/off the condensed index (tabs) at top
+# of each HTML page. A value of NO enables the index and the value YES disables
+# it. Since the tabs in the index contain the same information as the navigation
+# tree, you can set this option to YES if you also set GENERATE_TREEVIEW to YES.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+DISABLE_INDEX = NO
+
+# The GENERATE_TREEVIEW tag is used to specify whether a tree-like index
+# structure should be generated to display hierarchical information. If the tag
+# value is set to YES, a side panel will be generated containing a tree-like
+# index structure (just like the one that is generated for HTML Help). For this
+# to work a browser that supports JavaScript, DHTML, CSS and frames is required
+# (i.e. any modern browser). Windows users are probably better off using the
+# HTML help feature. Via custom stylesheets (see HTML_EXTRA_STYLESHEET) one can
+# further fine-tune the look of the index. As an example, the default style
+# sheet generated by doxygen has an example that shows how to put an image at
+# the root of the tree instead of the PROJECT_NAME. Since the tree basically has
+# the same information as the tab index, you could consider setting
+# DISABLE_INDEX to YES when enabling this option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+GENERATE_TREEVIEW = NO
+
+# The ENUM_VALUES_PER_LINE tag can be used to set the number of enum values that
+# doxygen will group on one line in the generated HTML documentation.
+#
+# Note that a value of 0 will completely suppress the enum values from appearing
+# in the overview section.
+# Minimum value: 0, maximum value: 20, default value: 4.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+ENUM_VALUES_PER_LINE = 4
+
+# If the treeview is enabled (see GENERATE_TREEVIEW) then this tag can be used
+# to set the initial width (in pixels) of the frame in which the tree is shown.
+# Minimum value: 0, maximum value: 1500, default value: 250.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+TREEVIEW_WIDTH = 250
+
+# When the EXT_LINKS_IN_WINDOW option is set to YES doxygen will open links to
+# external symbols imported via tag files in a separate window.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+EXT_LINKS_IN_WINDOW = NO
+
+# Use this tag to change the font size of LaTeX formulas included as images in
+# the HTML documentation. When you change the font size after a successful
+# doxygen run you need to manually remove any form_*.png images from the HTML
+# output directory to force them to be regenerated.
+# Minimum value: 8, maximum value: 50, default value: 10.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_FONTSIZE = 10
+
+# Use the FORMULA_TRANPARENT tag to determine whether or not the images
+# generated for formulas are transparent PNGs. Transparent PNGs are not
+# supported properly for IE 6.0, but are supported on all modern browsers.
+#
+# Note that when changing this option you need to delete any form_*.png files in
+# the HTML output directory before the changes have effect.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+FORMULA_TRANSPARENT = YES
+
+# Enable the USE_MATHJAX option to render LaTeX formulas using MathJax (see
+# http://www.mathjax.org) which uses client side Javascript for the rendering
+# instead of using prerendered bitmaps. Use this if you do not have LaTeX
+# installed or if you want to formulas look prettier in the HTML output. When
+# enabled you may also need to install MathJax separately and configure the path
+# to it using the MATHJAX_RELPATH option.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+USE_MATHJAX = NO
+
+# When MathJax is enabled you can set the default output format to be used for
+# the MathJax output. See the MathJax site (see:
+# http://docs.mathjax.org/en/latest/output.html) for more details.
+# Possible values are: HTML-CSS (which is slower, but has the best
+# compatibility), NativeMML (i.e. MathML) and SVG.
+# The default value is: HTML-CSS.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_FORMAT = HTML-CSS
+
+# When MathJax is enabled you need to specify the location relative to the HTML
+# output directory using the MATHJAX_RELPATH option. The destination directory
+# should contain the MathJax.js script. For instance, if the mathjax directory
+# is located at the same level as the HTML output directory, then
+# MATHJAX_RELPATH should be ../mathjax. The default value points to the MathJax
+# Content Delivery Network so you can quickly see the result without installing
+# MathJax. However, it is strongly recommended to install a local copy of
+# MathJax from http://www.mathjax.org before deployment.
+# The default value is: http://cdn.mathjax.org/mathjax/latest.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_RELPATH = http://cdn.mathjax.org/mathjax/latest
+
+# The MATHJAX_EXTENSIONS tag can be used to specify one or more MathJax
+# extension names that should be enabled during MathJax rendering. For example
+# MATHJAX_EXTENSIONS = TeX/AMSmath TeX/AMSsymbols
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_EXTENSIONS =
+
+# The MATHJAX_CODEFILE tag can be used to specify a file with javascript pieces
+# of code that will be used on startup of the MathJax code. See the MathJax site
+# (see: http://docs.mathjax.org/en/latest/output.html) for more details. For an
+# example see the documentation.
+# This tag requires that the tag USE_MATHJAX is set to YES.
+
+MATHJAX_CODEFILE =
+
+# When the SEARCHENGINE tag is enabled doxygen will generate a search box for
+# the HTML output. The underlying search engine uses javascript and DHTML and
+# should work on any modern browser. Note that when using HTML help
+# (GENERATE_HTMLHELP), Qt help (GENERATE_QHP), or docsets (GENERATE_DOCSET)
+# there is already a search function so this one should typically be disabled.
+# For large projects the javascript based search engine can be slow, then
+# enabling SERVER_BASED_SEARCH may provide a better solution. It is possible to
+# search using the keyboard; to jump to the search box use <access key> + S
+# (what the <access key> is depends on the OS and browser, but it is typically
+# <CTRL>, <ALT>/<option>, or both). Inside the search box use the <cursor down
+# key> to jump into the search results window, the results can be navigated
+# using the <cursor keys>. Press <Enter> to select an item or <escape> to cancel
+# the search. The filter options can be selected when the cursor is inside the
+# search box by pressing <Shift>+<cursor down>. Also here use the <cursor keys>
+# to select a filter and <Enter> or <escape> to activate or cancel the filter
+# option.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_HTML is set to YES.
+
+SEARCHENGINE = YES
+
+# When the SERVER_BASED_SEARCH tag is enabled the search engine will be
+# implemented using a web server instead of a web client using Javascript. There
+# are two flavours of web server based searching depending on the
+# EXTERNAL_SEARCH setting. When disabled, doxygen will generate a PHP script for
+# searching and an index file used by the script. When EXTERNAL_SEARCH is
+# enabled the indexing and searching needs to be provided by external tools. See
+# the section "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SERVER_BASED_SEARCH = NO
+
+# When EXTERNAL_SEARCH tag is enabled doxygen will no longer generate the PHP
+# script for searching. Instead the search results are written to an XML file
+# which needs to be processed by an external indexer. Doxygen will invoke an
+# external search engine pointed to by the SEARCHENGINE_URL option to obtain the
+# search results.
+#
+# Doxygen ships with an example indexer ( doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: http://xapian.org/).
+#
+# See the section "External Indexing and Searching" for details.
+# The default value is: NO.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH = NO
+
+# The SEARCHENGINE_URL should point to a search engine hosted by a web server
+# which will return the search results when EXTERNAL_SEARCH is enabled.
+#
+# Doxygen ships with an example indexer ( doxyindexer) and search engine
+# (doxysearch.cgi) which are based on the open source search engine library
+# Xapian (see: http://xapian.org/). See the section "External Indexing and
+# Searching" for details.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHENGINE_URL =
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the unindexed
+# search data is written to a file for indexing by an external tool. With the
+# SEARCHDATA_FILE tag the name of this file can be specified.
+# The default file is: searchdata.xml.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+SEARCHDATA_FILE = searchdata.xml
+
+# When SERVER_BASED_SEARCH and EXTERNAL_SEARCH are both enabled the
+# EXTERNAL_SEARCH_ID tag can be used as an identifier for the project. This is
+# useful in combination with EXTRA_SEARCH_MAPPINGS to search through multiple
+# projects and redirect the results back to the right project.
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTERNAL_SEARCH_ID =
+
+# The EXTRA_SEARCH_MAPPINGS tag can be used to enable searching through doxygen
+# projects other than the one defined by this configuration file, but that are
+# all added to the same external search index. Each project needs to have a
+# unique id set via EXTERNAL_SEARCH_ID. The search mapping then maps the id of
+# to a relative location where the documentation can be found. The format is:
+# EXTRA_SEARCH_MAPPINGS = tagname1=loc1 tagname2=loc2 ...
+# This tag requires that the tag SEARCHENGINE is set to YES.
+
+EXTRA_SEARCH_MAPPINGS =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the LaTeX output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_LATEX tag is set to YES doxygen will generate LaTeX output.
+# The default value is: YES.
+
+GENERATE_LATEX = YES
+
+# The LATEX_OUTPUT tag is used to specify where the LaTeX docs will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it.
+# The default directory is: latex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_OUTPUT = latex
+
+# The LATEX_CMD_NAME tag can be used to specify the LaTeX command name to be
+# invoked.
+#
+# Note that when enabling USE_PDFLATEX this option is only used for generating
+# bitmaps for formulas in the HTML output, but not in the Makefile that is
+# written to the output directory.
+# The default file is: latex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_CMD_NAME = latex
+
+# The MAKEINDEX_CMD_NAME tag can be used to specify the command name to generate
+# index for LaTeX.
+# The default file is: makeindex.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+MAKEINDEX_CMD_NAME = makeindex
+
+# If the COMPACT_LATEX tag is set to YES doxygen generates more compact LaTeX
+# documents. This may be useful for small projects and may help to save some
+# trees in general.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+COMPACT_LATEX = NO
+
+# The PAPER_TYPE tag can be used to set the paper type that is used by the
+# printer.
+# Possible values are: a4 (210 x 297 mm), letter (8.5 x 11 inches), legal (8.5 x
+# 14 inches) and executive (7.25 x 10.5 inches).
+# The default value is: a4.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PAPER_TYPE = a4
+
+# The EXTRA_PACKAGES tag can be used to specify one or more LaTeX package names
+# that should be included in the LaTeX output. To get the times font for
+# instance you can specify
+# EXTRA_PACKAGES=times
+# If left blank no extra packages will be included.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+EXTRA_PACKAGES = amsfonts amsmath amssymb
+
+# The LATEX_HEADER tag can be used to specify a personal LaTeX header for the
+# generated LaTeX document. The header should contain everything until the first
+# chapter. If it is left blank doxygen will generate a standard header. See
+# section "Doxygen usage" for information on how to let doxygen write the
+# default header to a separate file.
+#
+# Note: Only use a user-defined header if you know what you are doing! The
+# following commands have a special meaning inside the header: $title,
+# $datetime, $date, $doxygenversion, $projectname, $projectnumber. Doxygen will
+# replace them by respectively the title of the page, the current date and time,
+# only the current date, the version number of doxygen, the project name (see
+# PROJECT_NAME), or the project number (see PROJECT_NUMBER).
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HEADER =
+
+# The LATEX_FOOTER tag can be used to specify a personal LaTeX footer for the
+# generated LaTeX document. The footer should contain everything after the last
+# chapter. If it is left blank doxygen will generate a standard footer.
+#
+# Note: Only use a user-defined footer if you know what you are doing!
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_FOOTER =
+
+# The LATEX_EXTRA_FILES tag can be used to specify one or more extra images or
+# other source files which should be copied to the LATEX_OUTPUT output
+# directory. Note that the files will be copied as-is; there are no commands or
+# markers available.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_EXTRA_FILES =
+
+# If the PDF_HYPERLINKS tag is set to YES, the LaTeX that is generated is
+# prepared for conversion to PDF (using ps2pdf or pdflatex). The PDF file will
+# contain links (just like the HTML output) instead of page references. This
+# makes the output suitable for online browsing using a PDF viewer.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+PDF_HYPERLINKS = YES
+
+# If the LATEX_PDFLATEX tag is set to YES, doxygen will use pdflatex to generate
+# the PDF file directly from the LaTeX files. Set this option to YES to get a
+# higher quality PDF documentation.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+USE_PDFLATEX = YES
+
+# If the LATEX_BATCHMODE tag is set to YES, doxygen will add the \batchmode
+# command to the generated LaTeX files. This will instruct LaTeX to keep running
+# if errors occur, instead of asking the user for help. This option is also used
+# when generating formulas in HTML.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BATCHMODE = NO
+
+# If the LATEX_HIDE_INDICES tag is set to YES then doxygen will not include the
+# index chapters (such as File Index, Compound Index, etc.) in the output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_HIDE_INDICES = NO
+
+# If the LATEX_SOURCE_CODE tag is set to YES then doxygen will include source
+# code with syntax highlighting in the LaTeX output.
+#
+# Note that which sources are shown also depends on other settings such as
+# SOURCE_BROWSER.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_SOURCE_CODE = NO
+
+# The LATEX_BIB_STYLE tag can be used to specify the style to use for the
+# bibliography, e.g. plainnat, or ieeetr. See
+# http://en.wikipedia.org/wiki/BibTeX and \cite for more info.
+# The default value is: plain.
+# This tag requires that the tag GENERATE_LATEX is set to YES.
+
+LATEX_BIB_STYLE = plain
+
+#---------------------------------------------------------------------------
+# Configuration options related to the RTF output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_RTF tag is set to YES doxygen will generate RTF output. The
+# RTF output is optimized for Word 97 and may not look too pretty with other RTF
+# readers/editors.
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diff --git a/src/Hasse_complex/include/gudhi/Hasse_complex.h b/src/Hasse_complex/include/gudhi/Hasse_complex.h
new file mode 100644
index 00000000..7adfc421
--- /dev/null
+++ b/src/Hasse_complex/include/gudhi/Hasse_complex.h
@@ -0,0 +1,219 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_HASSE_DIAGRAM_H
+#define GUDHI_HASSE_DIAGRAM_H
+
+#include <algorithm>
+#include <boost/iterator/counting_iterator.hpp>
+
+namespace Gudhi{
+
+template < class HasseCpx >
+struct Hasse_simplex
+{
+//Complex_ds must verify that cpx->key(sh) is the order of sh in the filtration
+ template< class Complex_ds >
+ Hasse_simplex ( Complex_ds & cpx
+ , typename Complex_ds::Simplex_handle sh )
+ : key_(cpx.key(sh))
+ , filtration_(cpx.filtration(sh))
+ , boundary_()
+ {
+ boundary_.reserve(cpx.dimension(sh)+1);
+ for( auto b_sh : cpx.boundary_simplex_range(sh) )
+ { boundary_.push_back( cpx.key(b_sh) ); }
+ }
+
+ Hasse_simplex ( typename HasseCpx::Simplex_key key
+ , typename HasseCpx::Filtration_value fil
+ , std::vector<typename HasseCpx::Simplex_handle> boundary)
+ : key_(key)
+ , filtration_(fil)
+ , boundary_(boundary) {}
+
+ typename HasseCpx::Simplex_key key_;
+ typename HasseCpx::Filtration_value filtration_;
+ std::vector<typename HasseCpx::Simplex_handle> boundary_;
+};
+
+
+
+/** \brief Data structure representing a Hasse diagram, i.e.
+ * a complex where all codimension 1 incidence
+ * relations are explicitly encoded.
+ *
+ * \implements FilteredComplex.
+ * \ingroup simplex_tree
+ */
+template < typename FiltrationValue = double
+ , typename SimplexKey = int
+ , typename VertexHandle = int
+ >
+class Hasse_complex
+{
+public:
+
+ typedef Hasse_simplex<Hasse_complex> Hasse_simp;
+ typedef FiltrationValue Filtration_value;
+ typedef SimplexKey Simplex_key;
+ typedef int Simplex_handle; //index in vector complex_
+
+ typedef boost::counting_iterator< Simplex_handle > Filtration_simplex_iterator;
+ typedef boost::iterator_range<Filtration_simplex_iterator> Filtration_simplex_range;
+
+ typedef typename std::vector< Simplex_handle >::iterator Boundary_simplex_iterator;
+ typedef boost::iterator_range<Boundary_simplex_iterator> Boundary_simplex_range;
+
+ typedef typename std::vector< Simplex_handle >::iterator Skeleton_simplex_iterator;
+ typedef boost::iterator_range< Skeleton_simplex_iterator > Skeleton_simplex_range;
+
+
+/* only dimension 0 skeleton_simplex_range(...) */
+ Skeleton_simplex_range skeleton_simplex_range( int dim = 0 ) {
+ if(dim != 0) { std::cerr << "Dimension must be 0 \n"; }
+ return Skeleton_simplex_range(vertices_.begin(),vertices_.end());
+ }
+
+ template < class Complex_ds >
+ Hasse_complex(Complex_ds & cpx)
+ : complex_()
+ , vertices_()
+ , threshold_(cpx.filtration())
+ , num_vertices_()
+ , dim_max_(cpx.dimension())
+ {
+ complex_.reserve(cpx.num_simplices());
+ int idx = 0;
+ for(auto cpx_sh : cpx.filtration_simplex_range())
+ {
+ complex_.push_back(Hasse_simp(cpx,cpx_sh));
+ if(dimension(idx) == 0) { vertices_.push_back(idx); }
+ ++idx;
+ }
+ }
+
+ Hasse_complex()
+ : complex_()
+ , vertices_()
+ , threshold_(0)
+ , num_vertices_(0)
+ , dim_max_(-1) {}
+
+ size_t num_simplices() { return complex_.size(); }
+
+ Filtration_simplex_range filtration_simplex_range()
+ { return Filtration_simplex_range( Filtration_simplex_iterator(0)
+ , Filtration_simplex_iterator(complex_.size()) ); }
+
+ Simplex_key key( Simplex_handle sh ) { return complex_[sh].key_; }
+
+ Simplex_key null_key() { return -1; }
+
+ Simplex_handle simplex( Simplex_key key )
+ {
+ if(key == null_key()) return null_simplex();
+ return key;
+ }
+
+ Simplex_handle null_simplex() { return -1; }
+
+ Filtration_value filtration( Simplex_handle sh ) {
+ if( sh == null_simplex() ) { return filtration(); }
+ return complex_[sh].filtration_;
+ }
+
+ Filtration_value filtration() { return threshold_; }
+
+ int dimension ( Simplex_handle sh ) {
+ if(complex_[sh].boundary_.empty()) return 0;
+ return complex_[sh].boundary_.size()-1;
+ }
+ int dimension () { return dim_max_; }
+
+ std::pair<Simplex_handle,Simplex_handle> endpoints( Simplex_handle sh )
+ { return std::pair<Simplex_handle,Simplex_handle>( complex_[sh].boundary_[0]
+ , complex_[sh].boundary_[1] ) ;}
+
+ void assign_key( Simplex_handle sh, Simplex_key key) { complex_[sh].key_ = key; }
+
+ Boundary_simplex_range boundary_simplex_range ( Simplex_handle sh )
+ { return Boundary_simplex_range( complex_[sh].boundary_.begin()
+ , complex_[sh].boundary_.end() ); }
+
+ void display_simplex(Simplex_handle sh)
+ {
+ std::cout << dimension(sh) << " ";
+ for(auto sh_b : boundary_simplex_range(sh)) std::cout << sh_b << " ";
+ std::cout << " " << filtration(sh) << " key=" << key(sh);
+ }
+
+ void initialize_filtration()
+ {
+ Simplex_key key = 0;
+ for(auto & h_simp : complex_) { h_simp.key_ = key; ++key; }
+ }
+
+ std::vector< Hasse_simp > complex_;
+ std::vector<Simplex_handle> vertices_;
+ Filtration_value threshold_;
+ size_t num_vertices_;
+ int dim_max_;
+};
+
+template< typename T1, typename T2, typename T3 >
+std::istream& operator>> ( std::istream & is
+ , Hasse_complex< T1, T2, T3 > & hcpx )
+{
+ assert(hcpx.num_simplices() == 0);
+
+ size_t num_simp;
+ is >> num_simp;
+ hcpx.complex_.reserve(num_simp);
+
+ std::vector< typename Hasse_complex<T1,T2,T3>::Simplex_key > boundary;
+ typename Hasse_complex<T1,T2,T3>::Filtration_value fil;
+ typename Hasse_complex<T1,T2,T3>::Filtration_value max_fil = 0 ;
+ int max_dim = -1;
+ int key = 0 ;
+ while(read_hasse_simplex( is, boundary, fil )) //read all simplices in the file as a list of vertices
+ {
+ //insert every simplex in the simplex tree
+ hcpx.complex_.push_back( Hasse_simplex< Hasse_complex<T1,T2,T3> >(key,fil,boundary));
+
+ if(max_dim < hcpx.dimension(key)) { max_dim = hcpx.dimension(key); }
+ if(hcpx.dimension(key) == 0) { hcpx.vertices_.push_back(key); }
+ if(max_fil < fil) { max_fil = fil; }
+
+ ++key;
+ boundary.clear();
+ }
+
+ hcpx.dim_max_ = max_dim;
+ hcpx.threshold_ = max_fil;
+
+ return is;
+}
+
+} // namespace GUDHI
+
+#endif // GUDHI_HASSE_DIAGRAM_H
diff --git a/src/Persistent_cohomology/concept/CoefficientField.h b/src/Persistent_cohomology/concept/CoefficientField.h
new file mode 100644
index 00000000..953b06c2
--- /dev/null
+++ b/src/Persistent_cohomology/concept/CoefficientField.h
@@ -0,0 +1,52 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+/** \brief Concept describing the requirements for a class to represent
+ * a field of coefficients to compute persistent homology.
+ */
+struct CoefficientField {
+
+/** \brief Type of element of the field.
+ *
+ * Must be Assignable. */
+ typedef unspecified Element;
+
+/** Default constructible. */
+ CoefficientField();
+
+ void init(Element charac);
+ void init(Element charac_min, Element charac_max);
+
+/** Return the characteristic of the field. */
+ Element characteristic();
+/** Return the element 1 of the field. */
+ Element multiplicative_identity();
+/** Return the element 0 of the field. */
+ Element additive_identity();
+
+/** Assign: x <- x + y */
+ void plus_equal(Element x, Element y);
+
+/** */
+//... inverse()
+
+ }; \ No newline at end of file
diff --git a/src/Persistent_cohomology/concept/FilteredComplex.h b/src/Persistent_cohomology/concept/FilteredComplex.h
new file mode 100644
index 00000000..1834903b
--- /dev/null
+++ b/src/Persistent_cohomology/concept/FilteredComplex.h
@@ -0,0 +1,143 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+/** \brief The concept FilteredComplex describes the requirements
+ * for a type to implement a filtered cell complex, from which
+ * one can compute persistent homology via a model of the concept
+ * PersistentHomology.
+ */
+struct FilteredComplex
+{
+/** Handle to specify a simplex. */
+ typedef unspecified Simplex_handle;
+/** \brief Key associated to each simplex.
+ *
+ * Must be a signed integer type. */
+ typedef unspecified Simplex_key;
+/** \brief Type for the value of the filtration function.
+ *
+ * Must be comparable with <. */
+ typedef unspecified Filtration_value;
+
+/** \brief Specifies the nature of the indexing scheme.
+ *
+ * is model of IndexingTag. */
+ typedef unspecified Indexing_tag;
+
+/** Returns a Simplex_hanlde that is different from all simplex handles
+ * of the simplices. */
+ Simplex_handle null_simplex();
+/** \brief Returns the number of simplices in the complex.
+ *
+ * Does not count the empty simplex. */
+ size_t num_simplices();
+/** \brief Returns the dimension of a simplex. */
+ int dimension(Simplex_handle sh);
+/** \brief Returns the filtration value of a simplex.
+ *
+ * If sh is null_simplex(), returns the maximal value of the
+ * filtration function on the complex. */
+ Filtration_value filtration(Simplex_handle sh);
+
+/** \brief Returns a key that is different from the keys associated
+ * to the simplices. */
+ Simplex_key null_key ();
+/** \brief Returns the key associated to a simplex. */
+ Simplex_key key ( Simplex_handle sh );
+/** \brief Returns the simplex associated to a key.
+ *
+ * If key is different from null_key(), there must be a unique
+ * simplex having this key. */
+ Simplex_handle simplex ( Simplex_key key );
+/** \brief Assign a key to a simplex. */
+ void assign_key(Simplex_handle sh, Simplex_key key);
+
+/** \brief Iterator on the simplices belonging to the
+ * boundary of a simplex.
+ *
+ * <CODE>value_type</CODE> must be 'Simplex_handle'.
+ */
+typedef unspecified Boundary_simplex_iterator;
+/** \brief Range giving access to the simplices in the boundary of
+ * a simplex.
+ *
+ * .begin() and .end() return type Boundary_simplex_iterator.
+ */
+typedef unspecified Boundary_simplex_range;
+
+/** \brief Returns a range giving access to all simplices of the
+ * boundary of a simplex, i.e.
+ * the set of codimension 1 subsimplices of the Simplex.
+ *
+ * If the simplex is \f$[v_0, \cdots ,v_d]\f$, with canonical orientation
+ * induced by \f$ v_0 < \cdots < v_d \f$, the iterator enumerates the
+ * simplices of the boundary in the order:
+ * \f$[v_0,\cdots,\widehat{v_i},\cdots,v_d]\f$ for \f$i\f$ from 0 to d
+ *
+ * We note that the alternate sum of the simplices given by the iterator
+ * gives the chains corresponding to the boundary of the simplex.*/
+Boundary_simplex_range boundary_simplex_range(Simplex_handle sh);
+
+/** \brief Iterator over all simplices of the complex
+ * in the order of the indexing scheme.
+ *
+ * 'value_type' must be 'Simplex_handle'.
+ */
+typedef unspecified Filtration_simplex_iterator;
+/** \brief Range over the simplices of the complex
+ * in the order of the filtration.
+ *
+ * .begin() and .end() return type Filtration_simplex_iterator.*/
+typedef unspecified Filtration_simplex_range;
+/** \brief Returns a range over the simplices of the complex
+ * in the order of the filtration.
+ *
+ * .begin() and .end() return type Filtration_simplex_iterator.*/
+Filtration_simplex_range filtration_simplex_range();
+
+
+/* \brief Iterator over the simplices of the complex,
+ * in an arbitrary order.
+ *
+ * 'value_type' must be 'Simplex_handle'.*/
+//typedef unspecified Complex_simplex_iterator;
+//typedef unspecified Complex_simplex_range;
+
+/*
+* Returns a range over all the simplices of a
+* complex.
+*/
+//Complex_simplex_range complex_simplex_range();
+
+/*************************************************/ /**
+* @details Compares the filtration values of simplices s and t
+*
+* @return -1 if s comes before t in the filtration, +1
+* if it comes later, and 0 if they come at the same time
+*
+* @note OPTIONAL
+* @todo use an enum? Just a bool?
+*/
+//int is_before_in_filtration(Simplex_handle s, Simplex_handle t);
+/*************************************************/
+
+};
diff --git a/src/Persistent_cohomology/concept/PersistentHomology.h b/src/Persistent_cohomology/concept/PersistentHomology.h
new file mode 100644
index 00000000..111723a5
--- /dev/null
+++ b/src/Persistent_cohomology/concept/PersistentHomology.h
@@ -0,0 +1,41 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+/** \brief Concept describing the requirements for a class to compute
+ * persistent homology. */
+struct PersistentHomology {
+
+/** \brief Type of filtered cell complex on which persistent homology
+ * is computed.
+ *
+ * Must be a model of concept FilteredComplex.
+ */
+ typedef unspecified Filtered_complex;
+
+/** \brief Type of coefficients to be used for computing persistent
+ * homology.
+ *
+ * Must be a model of concept CoefficientField.
+ */
+ typedef unspecified Coefficient_field;
+
+ };
diff --git a/src/Persistent_cohomology/example/CMakeLists.txt b/src/Persistent_cohomology/example/CMakeLists.txt
new file mode 100644
index 00000000..dca4a04d
--- /dev/null
+++ b/src/Persistent_cohomology/example/CMakeLists.txt
@@ -0,0 +1,22 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHIExPersCohom)
+
+# NEED TO FIND BOOST NEEDED COMPONENTS TO LINK WITH
+find_package(Boost 1.45.0 COMPONENTS system program_options)
+message("Boost_lib = ${Boost_LIBRARIES}")
+
+add_executable ( rips_persistence rips_persistence.cpp )
+target_link_libraries(rips_persistence ${Boost_LIBRARIES})
+add_executable ( rips_persistence_from_alpha_shape_3 rips_persistence_from_alpha_shape_3.cpp )
+target_link_libraries(rips_persistence_from_alpha_shape_3 ${Boost_LIBRARIES})
+
+if(GMPXX_FOUND AND GMP_FOUND)
+ message("GMPXX_LIBRARIES = ${GMPXX_LIBRARIES}")
+ message("GMP_LIBRARIES = ${GMP_LIBRARIES}")
+
+ add_executable ( rips_multifield_persistence rips_multifield_persistence.cpp )
+ target_link_libraries(rips_multifield_persistence ${Boost_LIBRARIES} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES})
+
+ add_executable ( performance_rips_persistence performance_rips_persistence.cpp )
+ target_link_libraries(performance_rips_persistence ${Boost_LIBRARIES} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES})
+endif()
diff --git a/src/Persistent_cohomology/example/README b/src/Persistent_cohomology/example/README
new file mode 100644
index 00000000..5dd34b85
--- /dev/null
+++ b/src/Persistent_cohomology/example/README
@@ -0,0 +1,47 @@
+To build the example, run in a Terminal:
+
+cd /path-to-example/
+cmake .
+make
+
+
+Example of use :
+
+Computation of the persistent homology with Z/2Z coefficients of the Rips complex on points
+sampling a Klein bottle:
+
+./rips_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -m 100
+
+output:
+210 0 0 inf
+210 1 0.0702103 inf
+2 1 0.0702103 inf
+2 2 0.159992 inf
+
+with Z/3Z coefficients:
+
+./rips_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 3 -m 100
+
+output:
+3 0 0 inf
+3 1 0.0702103 inf
+
+and the computation with Z/2Z and Z/3Z coefficients simultaneously:
+
+./rips_multifield_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -q 3 -m 100
+
+output:
+6 0 0 inf
+6 1 0.0702103 inf
+2 1 0.0702103 inf
+2 2 0.159992 inf
+
+and finally the computation with all Z/pZ for 2 <= p <= 71 (20 first prime numbers):
+
+ ./rips_multifield_persistence ../../../data/points/Kl.txt -r 0.25 -d 3 -p 2 -q 71 -m 100
+
+output:
+557940830126698960967415390 0 0 inf
+557940830126698960967415390 1 0.0702103 inf
+2 1 0.0702103 inf
+2 2 0.159992 inf
diff --git a/src/Persistent_cohomology/example/performance_rips_persistence.cpp b/src/Persistent_cohomology/example/performance_rips_persistence.cpp
new file mode 100644
index 00000000..37d41ee1
--- /dev/null
+++ b/src/Persistent_cohomology/example/performance_rips_persistence.cpp
@@ -0,0 +1,168 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+#include "gudhi/reader_utils.h"
+#include "gudhi/graph_simplicial_complex.h"
+#include "gudhi/distance_functions.h"
+#include "gudhi/Simplex_tree.h"
+#include "gudhi/Persistent_cohomology.h"
+#include "gudhi/Persistent_cohomology/Multi_field.h"
+#include "gudhi/Hasse_complex.h"
+
+#include <chrono>
+
+using namespace Gudhi;
+
+/* Compute the persistent homology of the complex cpx with coefficients in Z/pZ. */
+template< typename FilteredComplex>
+void timing_persistence( FilteredComplex & cpx
+ , int p );
+
+/* Compute multi-field persistent homology of the complex cpx with coefficients in
+ * Z/rZ for all prime number r in [p;q].*/
+template< typename FilteredComplex>
+void timing_persistence( FilteredComplex & cpx
+ , int p
+ , int q );
+
+/* Timings for the computation of persistent homology with different
+ * representations of a Rips complex and different coefficient fields. The
+ * Rips complex is built on a set of 10000 points sampling a Klein bottle embedded
+ * in dimension 5.
+ * We represent complexes with a simplex tree and
+ * with a Hasse diagram. The Hasse diagram represents explicitly all
+ * codimension 1 incidence relations in the complex, and hence leads to
+ * a faster computation of persistence because boundaries are precomputed.
+ * Hovewer, the simplex tree may be constructed directly from a point cloud and
+ * is more compact.
+ * We compute persistent homology with coefficient fields Z/2Z and Z/1223Z.
+ * We present also timings for the computation of multi-field persistent
+ * homology in all fields Z/rZ for r prime between 2 and 1223.
+ */
+int main (int argc, char * argv[])
+{
+ std::chrono::time_point<std::chrono::system_clock> start, end;
+ int enlapsed_sec;
+
+ std::string filepoints = "../examples/Kl.txt";
+ Filtration_value threshold = 0.3;
+ int dim_max = 3;
+ int p = 2;
+ int q = 1223;
+
+// Extract the points from the file filepoints
+ typedef std::vector<double> Point_t;
+ std::vector< Point_t > points;
+ read_points( filepoints, points );
+
+// Compute the proximity graph of the points
+ start = std::chrono::system_clock::now();
+ Graph_t prox_graph = compute_proximity_graph( points, threshold
+ , euclidean_distance<Point_t> );
+ end = std::chrono::system_clock::now();
+ enlapsed_sec = std::chrono::duration_cast<std::chrono::seconds>(end-start).count();
+ std::cout << "Compute Rips graph in " << enlapsed_sec << " sec.\n";
+
+// Construct the Rips complex in a Simplex Tree
+ Simplex_tree<> st;
+ start = std::chrono::system_clock::now();
+
+ st.insert_graph(prox_graph); // insert the proximity graph in the simplex tree
+ st.expansion( dim_max ); // expand the graph until dimension dim_max
+
+ end = std::chrono::system_clock::now();
+ enlapsed_sec = std::chrono::duration_cast<std::chrono::seconds>(end-start).count();
+ std::cout << "Compute Rips complex in " << enlapsed_sec << " sec.\n";
+ std::cout << " - dimension = " << st.dimension() << std::endl;
+ std::cout << " - number of simplices = " << st.num_simplices() << std::endl;
+
+// Sort the simplices in the order of the filtration
+ start = std::chrono::system_clock::now();
+ st.initialize_filtration();
+ end = std::chrono::system_clock::now();
+ enlapsed_sec = std::chrono::duration_cast<std::chrono::seconds>(end-start).count();
+ std::cout << "Order the simplices of the filtration in " << enlapsed_sec << " sec.\n";
+
+// Convert the simplex tree into a hasse diagram
+ start = std::chrono::system_clock::now();
+ Hasse_complex<> hcpx(st);
+ end = std::chrono::system_clock::now();
+ enlapsed_sec = std::chrono::duration_cast<std::chrono::seconds>(end-start).count();
+ std::cout << "Convert the simplex tree into a Hasse diagram in " << enlapsed_sec << " sec.\n";
+
+
+ std::cout << "Timings when using a simplex tree: \n";
+ timing_persistence(st,p);
+ timing_persistence(st,q);
+ timing_persistence(st,p,q);
+
+ std::cout << "Timings when using a Hasse complex: \n";
+ timing_persistence(hcpx,p);
+ timing_persistence(hcpx,q);
+ timing_persistence(hcpx,p,q);
+
+ return 0;
+}
+
+
+template< typename FilteredComplex>
+void
+timing_persistence( FilteredComplex & cpx
+ , int p )
+{
+ std::chrono::time_point<std::chrono::system_clock> start, end;
+ int enlapsed_sec;
+
+ Persistent_cohomology< FilteredComplex, Field_Zp > pcoh (cpx);
+ pcoh.init_coefficients( p ); //initilizes the coefficient field for homology
+
+ start = std::chrono::system_clock::now();
+
+ pcoh.compute_persistent_cohomology( INFINITY );
+
+ end = std::chrono::system_clock::now();
+ enlapsed_sec = std::chrono::duration_cast<std::chrono::seconds>(end-start).count();
+ std::cout << " Compute persistent homology in Z/"<<p<<"Z in " << enlapsed_sec << " sec.\n";
+}
+
+template< typename FilteredComplex>
+void
+timing_persistence( FilteredComplex & cpx
+ , int p
+ , int q )
+{
+ std::chrono::time_point<std::chrono::system_clock> start, end;
+ int enlapsed_sec;
+
+ Persistent_cohomology< FilteredComplex, Multi_field > pcoh (cpx);
+ pcoh.init_coefficients( p, q ); //initilizes the coefficient field for homology
+ // compute persistent homology, disgarding persistent features of life shorter than min_persistence
+
+ start = std::chrono::system_clock::now();
+
+ pcoh.compute_persistent_cohomology( INFINITY );
+
+ end = std::chrono::system_clock::now();
+ enlapsed_sec = std::chrono::duration_cast<std::chrono::seconds>(end-start).count();
+ std::cout << " Compute multi-field persistent homology in all coefficient fields Z/pZ "
+ << "with p in ["<<p<<";"<<q<<"] in " << enlapsed_sec << " sec.\n";
+}
diff --git a/src/Persistent_cohomology/example/rips_multifield_persistence.cpp b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp
new file mode 100644
index 00000000..95ef8809
--- /dev/null
+++ b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp
@@ -0,0 +1,152 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+#include "gudhi/reader_utils.h"
+#include "gudhi/graph_simplicial_complex.h"
+#include "gudhi/distance_functions.h"
+#include "gudhi/Simplex_tree.h"
+#include "gudhi/Persistent_cohomology.h"
+#include "gudhi/Persistent_cohomology/Multi_field.h"
+
+#include <boost/program_options.hpp>
+
+using namespace Gudhi;
+
+typedef int Vertex_handle;
+typedef double Filtration_value;
+
+void program_options( int argc, char * argv[]
+ , std::string & filepoints
+ , std::string & filediag
+ , Filtration_value & threshold
+ , int & dim_max
+ , int & min_p
+ , int & max_p
+ , Filtration_value & min_persistence );
+
+int main (int argc, char * argv[])
+{
+ std::string filepoints;
+ std::string filediag;
+ Filtration_value threshold;
+ int dim_max;
+ int min_p;
+ int max_p;
+ Filtration_value min_persistence;
+
+ program_options(argc,argv,filepoints,filediag,threshold,dim_max,min_p,max_p,min_persistence);
+
+// Extract the points from the file filepoints
+ typedef std::vector<double> Point_t;
+ std::vector< Point_t > points;
+ read_points( filepoints, points );
+
+// Compute the proximity graph of the points
+ Graph_t prox_graph = compute_proximity_graph( points, threshold
+ , euclidean_distance<Point_t> );
+
+// Construct the Rips complex in a Simplex Tree
+ Simplex_tree<> st;
+ st.insert_graph(prox_graph); // insert the proximity graph in the simplex tree
+ st.expansion( dim_max ); // expand the graph until dimension dim_max
+
+// Sort the simplices in the order of the filtration
+ st.initialize_filtration();
+
+// Compute the persistence diagram of the complex
+ Persistent_cohomology< Simplex_tree<>, Multi_field > pcoh( st );
+ pcoh.init_coefficients( min_p, max_p ); //initilizes the coefficient field for homology
+ // compute persistent homology, disgarding persistent features of life shorter than min_persistence
+ 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 & filepoints
+ , std::string & filediag
+ , Filtration_value & threshold
+ , int & dim_max
+ , int & min_p
+ , int & max_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>(&filepoints),
+ "Name of file containing a point set. Format is one point per line: X1 ... Xd \n");
+
+ po::options_description visible("Allowed options");
+ 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(0),
+ "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.")
+ ("min-field-charac,p", po::value<int>(&min_p)->default_value(2),
+ "Minimal characteristic p of the coefficient field Z/pZ.")
+ ("max-field-charac,q", po::value<int>(&max_p)->default_value(1223),
+ "Minimial characteristic q of the coefficient field Z/pZ.")
+ ("min-persistence,m", po::value<Filtration_value>(&min_persistence),
+ "Minimal lifetime of homology feature to be recorded. Default is 0");
+
+ 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 various coefficient fields \n";
+ std::cout << "of a Rips complex defined on a set of input points. The coefficient \n";
+ std::cout << "fields are all the Z/rZ for a prime number r contained in the \n";
+ std::cout << "specified range [p,q]\n \n";
+ std::cout << "The output diagram contains one bar per line, written with the convention: \n";
+ std::cout << " p1*...*pr 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 << "p1*...*pr is the product of prime numbers pi such that the homology \n";
+ std::cout << "feature exists in homology with Z/piZ 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
new file mode 100644
index 00000000..d7927223
--- /dev/null
+++ b/src/Persistent_cohomology/example/rips_persistence.cpp
@@ -0,0 +1,146 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+#include "gudhi/reader_utils.h"
+#include "gudhi/graph_simplicial_complex.h"
+#include "gudhi/distance_functions.h"
+#include "gudhi/Simplex_tree.h"
+#include "gudhi/Persistent_cohomology.h"
+
+#include <boost/program_options.hpp>
+
+using namespace Gudhi;
+
+typedef int Vertex_handle;
+typedef double Filtration_value;
+
+void program_options( int argc, char * argv[]
+ , std::string & filepoints
+ , std::string & filediag
+ , Filtration_value & threshold
+ , int & dim_max
+ , int & p
+ , Filtration_value & min_persistence );
+
+int main (int argc, char * argv[])
+{
+ std::string filepoints;
+ std::string filediag ;
+ Filtration_value threshold ;
+ int dim_max ;
+ int p ;
+ Filtration_value min_persistence;
+
+ program_options(argc,argv,filepoints,filediag,threshold,dim_max,p,min_persistence);
+
+// Extract the points from the file filepoints
+ typedef std::vector<double> Point_t;
+ std::vector< Point_t > points;
+ read_points( filepoints, points );
+
+// Compute the proximity graph of the points
+ Graph_t prox_graph = compute_proximity_graph( points, threshold
+ , euclidean_distance<Point_t> );
+
+// Construct the Rips complex in a Simplex Tree
+ Simplex_tree<> st;
+ st.insert_graph(prox_graph); // insert the proximity graph in the simplex tree
+ st.expansion( dim_max ); // expand the graph until dimension dim_max
+
+ std::cout << "The complex contains " << st.num_simplices() << " simplices \n";
+ std::cout << " and has dimension " << st.dimension() << " \n";
+
+// Sort the simplices in the order of the filtration
+ st.initialize_filtration();
+
+// Compute the persistence diagram of the complex
+ Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh( st );
+ pcoh.init_coefficients( p ); //initilizes the coefficient field for homology
+
+ 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 & filepoints
+ , 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>(&filepoints),
+ "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>(&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(0),
+ "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");
+
+ 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_from_alpha_shape_3.cpp b/src/Persistent_cohomology/example/rips_persistence_from_alpha_shape_3.cpp
new file mode 100644
index 00000000..ddaafea2
--- /dev/null
+++ b/src/Persistent_cohomology/example/rips_persistence_from_alpha_shape_3.cpp
@@ -0,0 +1,140 @@
+ /* 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/>.
+ */
+
+#include "gudhi/reader_utils.h"
+#include "gudhi/graph_simplicial_complex.h"
+#include "gudhi/distance_functions.h"
+#include "gudhi/Simplex_tree.h"
+#include "gudhi/Persistent_cohomology.h"
+
+#include <boost/program_options.hpp>
+
+using namespace Gudhi;
+
+typedef int Vertex_handle;
+typedef double Filtration_value;
+
+void program_options( int argc, char * argv[]
+ , std::string & simplex_tree_file
+ , std::string & output_file
+ , int & p
+ , Filtration_value & min_persistence );
+
+int main (int argc, char * argv[])
+{
+ std::string simplex_tree_file;
+ std::string output_file ;
+ int p ;
+ Filtration_value min_persistence;
+
+ program_options(argc,argv,simplex_tree_file,output_file,p,min_persistence);
+
+ std::cout << "Simplex_tree from file=" << simplex_tree_file.c_str() << " - output_file=" << output_file.c_str() << std::endl;
+ std::cout << " - p=" << p << " - min_persistence=" << min_persistence << std::endl;
+
+ // Construct the Rips complex in a Simplex Tree
+ Simplex_tree<> simplex_tree;
+
+ std::ifstream simplex_tree_stream(simplex_tree_file);
+ simplex_tree_stream >> simplex_tree;
+
+ std::cout << "The complex contains " << simplex_tree.num_simplices() << " simplices" << std::endl;
+ std::cout << " - dimension " << simplex_tree.dimension() << " - filtration " << simplex_tree.filtration() << std::endl;
+
+ /*
+ std::cout << std::endl << std::endl << "Iterator on Simplices in the filtration, with [filtration value]:" << std::endl;
+ for( auto f_simplex : simplex_tree.filtration_simplex_range() )
+ { std::cout << " " << "[" << simplex_tree.filtration(f_simplex) << "] ";
+ for( auto vertex : simplex_tree.simplex_vertex_range(f_simplex) )
+ { std::cout << vertex << " "; }
+ std::cout << std::endl;
+ }*/
+
+ // Sort the simplices in the order of the filtration
+ simplex_tree.initialize_filtration();
+
+ // Compute the persistence diagram of the complex
+ Persistent_cohomology< Simplex_tree<>, Field_Zp > pcoh( simplex_tree );
+ pcoh.init_coefficients( p ); //initilizes the coefficient field for homology
+
+ pcoh.compute_persistent_cohomology( min_persistence );
+
+ // Output the diagram in output_file
+ if(output_file.empty()) { pcoh.output_diagram(); }
+ else {
+ std::ofstream out(output_file);
+ pcoh.output_diagram(out);
+ out.close(); }
+
+ return 0;
+}
+
+
+
+void program_options( int argc, char * argv[]
+ , std::string & simplex_tree_file
+ , std::string & output_file
+ , 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>(&simplex_tree_file),
+ "Name of file containing a simplex set. Format is one simplex per line (cf. reader_utils.h - read_simplex): Dim1 X11 X12 ... X1d Fil1 ");
+
+ po::options_description visible("Allowed options", 100);
+ visible.add_options()
+ ("help,h", "produce help message")
+ ("output-file,o", po::value<std::string>(&output_file)->default_value(std::string()),
+ "Name of file in which the persistence diagram is written. Default print in std::cout")
+ ("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");
+
+ 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/include/gudhi/Persistent_cohomology.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h
new file mode 100644
index 00000000..cd4a2bcc
--- /dev/null
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h
@@ -0,0 +1,772 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 _PERSISTENCECOMPUTATION_SIMPLEXTREE_
+#define _PERSISTENCECOMPUTATION_SIMPLEXTREE_
+
+#include <boost/tuple/tuple.hpp>
+#include <boost/intrusive/set.hpp>
+#include <boost/pending/disjoint_sets.hpp>
+#include <boost/intrusive/list.hpp>
+#include <boost/pool/object_pool.hpp>
+#include "gudhi/Persistent_cohomology/Persistent_cohomology_column.h"
+#include "gudhi/Persistent_cohomology/Field_Zp.h"
+
+namespace Gudhi{
+
+/** \defgroup persistent_cohomology Persistent Cohomology Package
+ *
+ * Computation of persistent cohomology using the algorithm of
+ * \cite DBLP:journals/dcg/SilvaMV11 and \cite DBLP:journals/corr/abs-1208-5018
+ * and the Compressed Annotation Matrix
+ * implementation of \cite DBLP:conf/esa/BoissonnatDM13
+ *
+ *
+ *
+
+ The theory of homology consists in attaching to a topological space a sequence of
+ (homology) groups,
+ capturing global topological features
+ like connected components, holes, cavities, etc. Persistent homology studies the evolution
+ -- birth, life and death -- of
+ these features when the topological space is changing. Consequently, the theory is essentially
+ composed of three elements:
+ topological spaces, their homology groups and an evolution scheme.
+
+ <DT>Topological Spaces:</DT>
+ Topological spaces are represented by simplicial complexes.
+ Let \f$V = \{1, \cdots ,|V|\}\f$ be a set of <EM>vertices</EM>.
+ A <EM>simplex</EM> \f$\sigma\f$ is a subset of vertices
+ \f$\sigma \subseteq V\f$. A <EM>simplicial complex</EM> \f$\mathbf{K}\f$
+ on \f$V\f$ is a collection of simplices \f$\{\sigma\}\f$,
+ \f$\sigma \subseteq V\f$, such that \f$\tau \subseteq \sigma \in \mathbf{K}
+ \Rightarrow \tau \in \mathbf{K}\f$. The dimension \f$n=|\sigma|-1\f$ of \f$\sigma\f$
+ is its number of elements minus 1. A <EM>filtration</EM> of a simplicial complex is
+ a function \f$f:\mathbf{K} \rightarrow \mathbb{R}\f$ satisfying \f$f(\tau)\leq
+ f(\sigma)\f$ whenever \f$\tau \subseteq \sigma\f$.
+
+ We define the concept FilteredComplex which enumerates the requirements for a class
+ to represent a filtered complex from which persistent homology may be computed.
+ We use the vocabulary of simplicial complexes, but the concept
+ is valid for any type of cell complex. The main requirements
+ are the definition of:
+ \li type <CODE>Indexing_tag</CODE>, which is a model of the concept
+ <CODE>IndexingTag</CODE>,
+ describing the nature of the indexing scheme,
+ \li type Simplex_handle to manipulate simplices,
+ \li method <CODE>int dimension(Simplex_handle)</CODE> returning
+ the dimension of a simplex,
+ \li type and method <CODE>Boundary_simplex_range
+ boundary_simplex_range(Simplex_handle)</CODE> that returns
+ a range giving access to the codimension 1 subsimplices of the
+ input simplex, as-well-as the coefficients \f$(-1)^i\f$ in the
+ definition of the operator \f$\partial\f$. The iterators have
+ value type <CODE>Simplex_handle</CODE>,
+ \li type and method
+ <CODE>Filtration_simplex_range filtration_simplex_range ()</CODE>
+ that returns a range giving
+ access to all the simplices of the complex read in the order
+ assigned by the indexing scheme,
+ \li type and method
+ <CODE>Filtration_value filtration (Simplex_handle)</CODE> that returns the value of
+ the filtration on the simplex represented by the handle.
+
+ <DT>Homology:</DT>
+ For a ring \f$\mathcal{R}\f$, the group of <EM>n-chains</EM>,
+ denoted \f$\mathbf{C}_n(\mathbf{K},\mathcal{R})\f$, of \f$\mathbf{K}\f$ is the
+ group of formal sums of
+ n-simplices with \f$\mathcal{R}\f$ coefficients. The <EM>boundary operator</EM> is a
+ linear operator
+ \f$\partial_n: \mathbf{C}_n(\mathbf{K},\mathcal{R}) \rightarrow \mathbf{C}_{n-1}(\mathbf{K},\mathcal{R})\f$
+ such that \f$\partial_n \sigma = \partial_n [v_0, \cdots , v_n] =
+ \sum_{i=0}^n (-1)^{i}[v_0,\cdots ,\widehat{v_i}, \cdots,v_n]\f$,
+ where \f$\widehat{v_i}\f$ means \f$v_i\f$ is omitted from the list. The chain
+ groups form a sequence:
+
+ \f[\cdots \ \ \mathbf{C}_n(\mathbf{K},\mathcal{R}) \xrightarrow{\ \partial_n\ } \mathbf{C}_{n-1}(\mathbf{K},\mathcal{R})
+ \xrightarrow{\partial_{n-1}} \cdots \xrightarrow{\ \partial_2 \ }
+ \mathbf{C}_1(\mathbf{K},\mathcal{R}) \xrightarrow{\ \partial_1 \ } \mathbf{C}_0(\mathbf{K},\mathcal{R}) \f]
+
+ of finitely many groups \f$\mathbf{C}_n(\mathbf{K},\mathcal{R})\f$ and homomorphisms
+ \f$\partial_n\f$, indexed by the dimension \f$n \geq 0\f$.
+ The boundary operators satisfy the property \f$\partial_n \circ \partial_{n+1}=0\f$
+ for every \f$n > 0\f$
+ and we define the homology groups:
+
+ \f[\mathbf{H}_n(\mathbf{K},\mathcal{R}) = \ker \partial_n / \mathrm{im} \ \partial_{n+1}\f]
+
+ We refer to \cite Munkres-elementsalgtop1984 for an introduction to homology
+ theory and to \cite DBLP:books/daglib/0025666 for an introduction to persistent homology.
+
+ <DT>Indexing Scheme:</DT>
+ "Changing" a simplicial complex consists in applying a simplicial map.
+ An <EM>indexing scheme</EM> is a directed graph together with a traversal
+ order, such that two
+ consecutive nodes in the graph are connected by an arrow (either forward or backward).
+ The nodes represent simplicial complexes and the directed edges simplicial maps.
+
+ From the computational point of view, there are two types of indexing schemes of
+ interest
+ in persistent homology: <EM>linear</EM> ones
+ \f$\bullet \longrightarrow \bullet \longrightarrow \cdots \longrightarrow \bullet
+ \longrightarrow \bullet\f$
+ in persistent homology \cite DBLP:journals/dcg/ZomorodianC05 ,
+ and <EM>zigzag</EM> ones
+ \f$\bullet \longrightarrow \bullet \longleftarrow \cdots
+ \longrightarrow \bullet
+ \longleftarrow \bullet \f$ in zigzag persistent
+ homology \cite DBLP:journals/focm/CarlssonS10.
+ These indexing schemes have a natural left-to-right traversal order, and we
+ describe them with ranges and iterators.
+ In the current release of the Gudhi library, only the linear case is implemented.
+
+ In the following, we consider the case where the indexing scheme is induced
+ by a filtration.
+ Ordering the simplices
+ by increasing filtration values (breaking ties so as a simplex appears after
+ its subsimplices of same filtration value) provides an indexing scheme.
+
+
+
+ <DT>Implementations:</DT>
+ We use the <EM>Compressed Annotation Matrix</EM> of \cite DBLP:conf/esa/BoissonnatDM13 to
+ implement the
+ persistent cohomology algorithm of \cite DBLP:journals/dcg/SilvaMV11
+ and \cite DBLP:conf/compgeom/DeyFW14 for persistence in the class Persistent_cohomology.
+
+ The coefficient fields available as models of CoefficientField are Field_Zp
+ for \f$\mathbb{Z}_p\f$ (for any prime p) and Multi_field for the multi-field persistence algorithm
+ -- computing persistence simultaneously in various coefficient fields -- described
+ in \cite boissonnat:hal-00922572.
+
+
+ \author Clément Maria
+ \version 1.0
+ \date 2014
+ \copyright GNU General Public License v3.
+ @{
+ */
+
+/** \brief Computes the persistent cohomology of a filtered complex.
+*
+* The computation is implemented with a Compressed Annotation Matrix
+* (CAM)\cite DBLP:conf/esa/BoissonnatDM13,
+* and is adapted to the computation of Multi-Field Persistent Homology (MF)
+* \cite boissonnat:hal-00922572 .
+*
+* \implements PersistentHomology
+*
+*/
+//Memory allocation policy: classic, use a mempool, etc.*/
+ template < class FilteredComplex
+ , class CoefficientField
+ > //to do mem allocation policy: classic, mempool, etc.
+ class Persistent_cohomology {
+ public:
+
+ typedef FilteredComplex Complex_ds;
+ // Data attached to each simplex to interface with a Property Map.
+ typedef typename Complex_ds::Simplex_key Simplex_key;
+ typedef typename Complex_ds::Simplex_handle Simplex_handle;
+ typedef typename Complex_ds::Filtration_value Filtration_value;
+ typedef typename CoefficientField::Element Arith_element;
+// Compressed Annotation Matrix types:
+ // Column type
+ typedef Persistent_cohomology_column < Simplex_key
+ , Arith_element
+ > Column; // contains 1 set_hook
+ // Cell type
+ typedef typename Column::Cell Cell; // contains 2 list_hooks
+ // Remark: constant_time_size must be false because base_hook_cam_h has auto_unlink link_mode
+ typedef boost::intrusive::list < Cell
+ , boost::intrusive::constant_time_size<false>
+ , boost::intrusive::base_hook< base_hook_cam_h >
+ > Hcell;
+
+ typedef boost::intrusive::set < Column
+ , boost::intrusive::constant_time_size<false>
+ > Cam;
+// Sparse column type for the annotation of the boundary of an element.
+ typedef std::vector< std::pair<Simplex_key
+ , Arith_element > > A_ds_type;
+// Persistent interval type. The Arith_element field is used for the multi-field framework.
+ typedef boost::tuple< Simplex_handle
+ , Simplex_handle
+ , Arith_element > Persistent_interval;
+
+/** \brief Initializes the Persistent_cohomology class.
+ *
+ * @param[in] cpx Complex for which the persistent homology is compiuted.
+ cpx is a model of FilteredComplex
+ *
+ * @param[in] persistence_dim_max if true, the persistent homology for the maximal dimension in the
+ * complex is computed. If false, it is ignored. Default is false.
+ */
+Persistent_cohomology ( Complex_ds & cpx
+ , bool persistence_dim_max = false )
+: cpx_ (&cpx)
+, dim_max_(cpx.dimension()) // upper bound on the dimension of the simplices
+, coeff_field_() // initialize the field coefficient structure.
+, ds_rank_ (cpx_->num_simplices()) // union-find
+, ds_parent_(cpx_->num_simplices()) // union-find
+, ds_repr_ (cpx_->num_simplices(),NULL) // union-find -> annotation vectors
+, dsets_(&ds_rank_[0],&ds_parent_[0]) // union-find
+, cam_() // collection of annotation vectors
+, zero_cocycles_() // union-find -> Simplex_key of creator for 0-homology
+, transverse_idx_() // key -> row
+, persistent_pairs_()
+, interval_length_policy(&cpx,0)
+, column_pool_(new boost::object_pool< Column > ()) // memory pools for the CAM
+, cell_pool_(new boost::object_pool< Cell > ())
+{
+ if( persistence_dim_max ) { ++dim_max_; }
+ Simplex_key idx_fil = 0;
+ for(auto & sh : cpx_->filtration_simplex_range())
+ {
+ cpx_->assign_key(sh,idx_fil); ++idx_fil;
+ dsets_.make_set(cpx_->key(sh));
+ }
+}
+
+~Persistent_cohomology()
+{
+//Clean the remaining columns in the matrix.
+ for(auto & cam_ref : cam_) { cam_ref.col_.clear(); }
+//Clean the transversal lists
+ for( auto & transverse_ref : transverse_idx_ )
+ { transverse_ref.second.row_->clear(); delete transverse_ref.second.row_; }
+//Clear the memory pools
+ delete column_pool_;
+ delete cell_pool_;
+}
+
+private:
+struct length_interval {
+ length_interval ( Complex_ds * cpx
+ , Filtration_value min_length)
+ : cpx_(cpx)
+ , min_length_(min_length) {}
+
+ bool operator()(Simplex_handle sh1, Simplex_handle sh2)
+ { return cpx_->filtration(sh2) - cpx_->filtration(sh1) > min_length_; }
+
+ void set_length(Filtration_value new_length) { min_length_ = new_length; }
+
+ Complex_ds * cpx_;
+ Filtration_value min_length_;
+};
+
+
+public:
+/** \brief Initializes the coefficient field.*/
+void init_coefficients( int charac ) { coeff_field_.init(charac); }
+/** \brief Initializes the coefficient field for multi-field persistent homology.*/
+void init_coefficients( int charac_min
+ , int charac_max ) { coeff_field_.init(charac_min,charac_max); }
+
+/** \brief Compute the persistent homology of the filtered simplicial
+ * complex.
+ *
+ * @param[in] min_interval_length the computation disgards all intervals of length
+ * less or equal than min_interval_length
+ *
+ * Assumes that the filtration provided by the simplicial complex is
+ * valid. Undefined behavior otherwise. */
+void compute_persistent_cohomology ( Filtration_value min_interval_length = 0 )
+{
+ interval_length_policy.set_length(min_interval_length);
+ // Compute all finite intervals
+ for( auto sh : cpx_->filtration_simplex_range() )
+ {
+ int dim_simplex = cpx_->dimension(sh);
+ switch(dim_simplex) {
+ case 0 : break;
+ case 1 : update_cohomology_groups_edge( sh ) ; break;
+ default: update_cohomology_groups( sh, dim_simplex ); break;
+ }
+ }
+ // Compute infinite intervals of dimension 0
+ Simplex_key key;
+ for(auto v_sh : cpx_->skeleton_simplex_range(0)) //for all 0-dimensional simplices
+ {
+ key = cpx_->key(v_sh);
+
+ if( ds_parent_[key] == key //root of its tree
+ && zero_cocycles_.find(key) == zero_cocycles_.end() )
+ {
+ persistent_pairs_.push_back( Persistent_interval ( cpx_->simplex(key)
+ , cpx_->null_simplex()
+ , coeff_field_.characteristic() )
+ );
+ }
+ }
+ for( auto zero_idx : zero_cocycles_ )
+ {
+ persistent_pairs_.push_back( Persistent_interval ( cpx_->simplex(zero_idx.second)
+ , cpx_->null_simplex()
+ , coeff_field_.characteristic() )
+ );
+ }
+// Compute infinite interval of dimension > 0
+ for(auto cocycle : transverse_idx_)
+ {
+ persistent_pairs_.push_back( Persistent_interval ( cpx_->simplex (cocycle.first)
+ , cpx_->null_simplex()
+ , cocycle.second.characteristics_ ) );
+ }
+}
+
+
+
+private:
+/** \brief Update the cohomology groups under the insertion of an edge.
+ *
+ * The 0-homology is maintained with a simple Union-Find data structure, which
+ * explains the existance of a specific function of edge insertions. */
+void update_cohomology_groups_edge ( Simplex_handle sigma )
+{
+ Simplex_handle u,v;
+ boost::tie(u,v) = cpx_->endpoints(sigma);
+
+ Simplex_key ku = dsets_.find_set( cpx_->key(u) );
+ Simplex_key kv = dsets_.find_set( cpx_->key(v) );
+
+ if(ku != kv ) { // Destroy a connected component
+ dsets_.link(ku,kv);
+ // Keys of the simplices which created the connected components containing
+ // respectively u and v.
+ Simplex_key idx_coc_u, idx_coc_v;
+ auto map_it_u = zero_cocycles_.find(ku);
+ // If the index of the cocycle representing the class is already ku.
+ if (map_it_u == zero_cocycles_.end()) { idx_coc_u = ku; }
+ else { idx_coc_u = map_it_u->second; }
+
+ auto map_it_v = zero_cocycles_.find(kv);
+ // If the index of the cocycle representing the class is already kv.
+ if (map_it_v == zero_cocycles_.end()) { idx_coc_v = kv; }
+ else { idx_coc_v = map_it_v->second; }
+
+ if(cpx_->filtration(cpx_->simplex(idx_coc_u))
+ < cpx_->filtration(cpx_->simplex(idx_coc_v)) ) // Kill cocycle [idx_coc_v], which is younger.
+ {
+ if(interval_length_policy(cpx_->simplex(idx_coc_v),sigma)) {
+ persistent_pairs_.push_back ( Persistent_interval ( cpx_->simplex(idx_coc_v)
+ , sigma
+ , coeff_field_.characteristic()
+ )
+ );
+ }
+ // Maintain the index of the 0-cocycle alive.
+ if( kv != idx_coc_v ) { zero_cocycles_.erase( map_it_v ); }
+ if( kv == dsets_.find_set(kv) ) {
+ if( ku != idx_coc_u ) { zero_cocycles_.erase( map_it_u ); }
+ zero_cocycles_[kv] = idx_coc_u;
+ }
+ }
+ else // Kill cocycle [idx_coc_u], which is younger.
+ {
+ if(interval_length_policy(cpx_->simplex(idx_coc_u),sigma)) {
+ persistent_pairs_.push_back ( Persistent_interval ( cpx_->simplex(idx_coc_u)
+ , sigma
+ , coeff_field_.characteristic()
+ )
+ );
+ }
+ // Maintain the index of the 0-cocycle alive.
+ if( ku != idx_coc_u ) { zero_cocycles_.erase( map_it_u ); }
+ if( ku == dsets_.find_set(ku) ) {
+ if( kv != idx_coc_v ) { zero_cocycles_.erase( map_it_v ); }
+ zero_cocycles_[ku] = idx_coc_v;
+ }
+ }
+ cpx_->assign_key(sigma,cpx_->null_key());
+ }
+ else { // If ku == kv, same connected component: create a 1-cocycle class.
+ create_cocycle( sigma, coeff_field_.multiplicative_identity(), coeff_field_.characteristic() );
+ }
+}
+
+/*
+ * Compute the annotation of the boundary of a simplex.
+ */
+void annotation_of_the_boundary(std::map< Simplex_key, Arith_element > & map_a_ds
+ , Simplex_handle sigma
+ , int dim_sigma )
+{
+ // traverses the boundary of sigma, keeps track of the annotation vectors,
+ // with multiplicity, in a map.
+ std::map < Column *, int > annotations_in_boundary;
+ std::pair < typename std::map< Column *, int >::iterator
+ , bool > result_insert_bound;
+ int sign = 1 - 2 * (dim_sigma % 2); // \in {-1,1} provides the sign in the
+ // alternate sum in the boundary.
+ Simplex_key key; Column * curr_col;
+
+ for( auto sh : cpx_->boundary_simplex_range(sigma) )
+ {
+ key = cpx_->key(sh);
+ if( key != cpx_->null_key() ) // A simplex with null_key is a killer, and have null annotation
+ { // vector.
+ // Find its annotation vector
+ curr_col = ds_repr_[ dsets_.find_set(key) ];
+ if( curr_col != NULL )
+ { // and insert it in annotations_in_boundary with multyiplicative factor "sign".
+ result_insert_bound =
+ annotations_in_boundary.insert(std::pair<Column *,int>(curr_col,sign));
+ if( !(result_insert_bound.second) ) { result_insert_bound.first->second += sign; }
+ }
+ }
+ sign = -sign;
+ }
+ // Sum the annotations with multiplicity, using a map<key,coeff>
+ // to represent a sparse vector.
+ std::pair < typename std::map < Simplex_key, Arith_element >::iterator
+ , bool > result_insert_a_ds;
+
+ for( auto ann_ref : annotations_in_boundary )
+ {
+ if(ann_ref.second != coeff_field_.additive_identity()) // For all columns in the boundary,
+ {
+ for( auto cell_ref : ann_ref.first->col_ ) // insert every cell in map_a_ds with multiplicity
+ {
+ Arith_element w_y =
+ coeff_field_.times(cell_ref.coefficient_ , ann_ref.second); //coefficient * multiplicity
+
+ if( w_y != coeff_field_.additive_identity() ) // if != 0
+ {
+ result_insert_a_ds = map_a_ds.insert(std::pair< Simplex_key
+ , Arith_element >(cell_ref.key_ , w_y));
+ if( !(result_insert_a_ds.second) ) //if cell_ref.key_ already a Key in map_a_ds
+ {
+ coeff_field_.plus_equal(result_insert_a_ds.first->second, w_y);
+ if(result_insert_a_ds.first->second == coeff_field_.additive_identity())
+ { map_a_ds.erase(result_insert_a_ds.first); }
+ }
+ }
+ }
+ }
+ }
+}
+
+/*
+ * Update the cohomology groups under the insertion of a simplex.
+ */
+void update_cohomology_groups ( Simplex_handle sigma
+ , int dim_sigma )
+{
+//Compute the annotation of the boundary of sigma:
+ std::map< Simplex_key, Arith_element > map_a_ds;
+ annotation_of_the_boundary(map_a_ds, sigma, dim_sigma );
+// Update the cohomology groups:
+ if( map_a_ds.empty() ) { // sigma is a creator in all fields represented in coeff_field_
+ if(dim_sigma < dim_max_) { create_cocycle ( sigma
+ , coeff_field_.multiplicative_identity()
+ , coeff_field_.characteristic() );}
+ }
+ else { // sigma is a destructor in at least a field in coeff_field_
+ // Convert map_a_ds to a vector
+ A_ds_type a_ds; //admits reverse iterators
+ for ( auto map_a_ds_ref : map_a_ds )
+ {
+ a_ds.push_back( std::pair< Simplex_key
+ , Arith_element> ( map_a_ds_ref.first
+ , map_a_ds_ref.second ));
+ }
+
+
+ Arith_element inv_x, charac;
+ Arith_element prod = coeff_field_.characteristic(); // Product of characteristic of the fields
+ for( auto a_ds_rit = a_ds.rbegin();
+ (a_ds_rit != a_ds.rend()) && (prod != coeff_field_.multiplicative_identity());
+ ++a_ds_rit )
+ {
+ std::tie(inv_x,charac) = coeff_field_.inverse ( a_ds_rit->second
+ , prod );
+
+ if( inv_x != coeff_field_.additive_identity() )
+ {
+ destroy_cocycle ( sigma
+ , a_ds
+ , a_ds_rit->first
+ , inv_x
+ , charac );
+ prod /= charac;
+ }
+ }
+ if( prod != coeff_field_.multiplicative_identity() && dim_sigma < dim_max_ )
+ { create_cocycle( sigma , coeff_field_.multiplicative_identity(prod), prod ); }
+ }
+}
+
+/* \brief Create a new cocycle class.
+ *
+ * The class is created by the insertion of the simplex sigma.
+ * The methods adds a cocycle, representing the new cocycle class,
+ * to the matrix representing the cohomology groups.
+ * The new cocycle has value 0 on every simplex except on sigma
+ * where it worths 1.*/
+void create_cocycle ( Simplex_handle sigma
+ , Arith_element x
+ , Arith_element charac )
+{
+ Simplex_key key = cpx_->key(sigma);
+ // Create a column containing only one cell,
+ Column * new_col = column_pool_->construct(Column(key));
+ Cell * new_cell = cell_pool_->construct(Cell (key, x, new_col));
+ new_col->col_.push_back(*new_cell);
+ // and insert it in the matrix, in constant time thanks to the hint cam_.end().
+ // Indeed *new_col has the biggest lexicographic value because key is the
+ // biggest key used so far.
+ cam_.insert (cam_.end(), *new_col);
+ // Update the disjoint sets data structure.
+ Hcell * new_hcell = new Hcell;
+ new_hcell->push_back(*new_cell);
+ transverse_idx_[key] = cocycle(charac,new_hcell); //insert the new row
+ ds_repr_[key] = new_col;
+}
+
+/* \brief Destroy a cocycle class.
+ *
+ * The cocycle class is destroyed by the insertion of sigma.
+ * The methods proceeds to a reduction of the matrix representing
+ * the cohomology groups using Gauss pivoting. The reduction zeros-out
+ * the row containing the cell with highest key in
+ * a_ds, the annotation of the boundary of simplex sigma. This key
+ * is "death_key".*/
+void destroy_cocycle ( Simplex_handle sigma
+ , A_ds_type const& a_ds
+ , Simplex_key death_key
+ , Arith_element inv_x
+ , Arith_element charac )
+{
+ // Create a finite persistent interval
+ if(interval_length_policy(cpx_->simplex(death_key),sigma)) {
+ persistent_pairs_.push_back ( Persistent_interval ( cpx_->simplex(death_key) //creator
+ , sigma //destructor
+ , charac ) //fields
+ ); // for which the interval exists
+ }
+
+ auto death_key_row = transverse_idx_.find(death_key); // Find the beginning of the row.
+ std::pair< typename Cam::iterator, bool > result_insert_cam;
+
+ auto row_cell_it = death_key_row->second.row_->begin();
+
+ while( row_cell_it != death_key_row->second.row_->end() ) // Traverse all cells in
+ { // the row at index death_key.
+ Arith_element w = coeff_field_.times_minus( inv_x , row_cell_it->coefficient_ );
+
+ if( w != coeff_field_.additive_identity() )
+ {
+ Column * curr_col = row_cell_it->self_col_; ++row_cell_it;
+ // Disconnect the column from the rows in the CAM.
+ for( auto col_cell_it = curr_col->col_.begin();
+ col_cell_it != curr_col->col_.end(); ++col_cell_it )
+ { col_cell_it->base_hook_cam_h::unlink(); }
+
+ // Remove the column from the CAM before modifying its value
+ cam_.erase( cam_.iterator_to(*curr_col) );
+ // Proceed to the reduction of the column
+ plus_equal_column(*curr_col, a_ds, w);
+
+ if( curr_col->col_.empty() ) // If the column is null
+ {
+ ds_repr_[ curr_col->class_key_ ] = NULL;
+ column_pool_->free(curr_col); //delete curr_col;
+ }
+ else
+ {
+ // Find whether the column obtained is already in the CAM
+ result_insert_cam = cam_.insert( *curr_col );
+ if ( result_insert_cam.second ) // If it was not in the CAM before: insertion has succeeded
+ {
+ for ( auto col_cell_it = curr_col->col_.begin();
+ col_cell_it != curr_col->col_.end(); ++col_cell_it ) //re-establish the row links
+ { transverse_idx_[ col_cell_it->key_ ].row_->push_front(*col_cell_it); }
+ }
+ else // There is already an identical column in the CAM:
+ { // merge two disjoint sets.
+ dsets_.link ( curr_col->class_key_ ,
+ result_insert_cam.first->class_key_ );
+
+ Simplex_key key_tmp = dsets_.find_set( curr_col->class_key_ );
+ ds_repr_[ key_tmp ] = &(*(result_insert_cam.first));
+ result_insert_cam.first->class_key_ = key_tmp;
+ column_pool_->free(curr_col); //delete curr_col;
+ }
+ }
+ }
+ else { ++row_cell_it; } // If w == 0, pass.
+ }
+
+ // Because it is a killer simplex, set the data of sigma to null_key().
+ if(charac == coeff_field_.characteristic()) { cpx_->assign_key( sigma, cpx_->null_key() ); }
+ if(death_key_row->second.characteristics_ == charac)
+ {
+ delete death_key_row->second.row_;
+ transverse_idx_.erase(death_key_row);
+ }
+ else { death_key_row->second.characteristics_ /= charac; }
+}
+
+/*
+ * Assign: target <- target + w * other.
+ */
+void plus_equal_column ( Column & target
+ , A_ds_type const& other //value_type is pair<Simplex_key,Arith_element>
+ , Arith_element w )
+{
+ auto target_it = target.col_.begin(); auto other_it = other.begin();
+ while ( target_it != target.col_.end() && other_it != other.end() )
+ {
+ if(target_it->key_ < other_it->first) { ++target_it; }
+ else {
+ if(target_it->key_ > other_it->first)
+ {
+ Cell * cell_tmp = cell_pool_->construct(Cell( other_it->first //key
+ , coeff_field_.additive_identity()
+ , &target));
+
+ coeff_field_.plus_times_equal(cell_tmp->coefficient_, other_it->second, w);
+
+ target.col_.insert( target_it, *cell_tmp );
+
+ ++other_it;
+ }
+ else { //it1->key == it2->key
+ //target_it->coefficient_ <- target_it->coefficient_ + other_it->second * w
+ coeff_field_.plus_times_equal( target_it->coefficient_ , other_it->second , w);
+ if( target_it->coefficient_ == coeff_field_.additive_identity() )
+ {
+ auto tmp_it = target_it;
+ ++target_it; ++other_it; // iterators remain valid
+ Cell * tmp_cell_ptr = &(*tmp_it);
+ target.col_.erase(tmp_it); // removed from column
+
+ coeff_field_.clear_coefficient(tmp_cell_ptr->coefficient_);
+ cell_pool_->free(tmp_cell_ptr); // delete from memory
+ }
+ else { ++target_it; ++other_it; }
+ }
+ }
+ }
+ while(other_it != other.end())
+ {
+ Cell * cell_tmp = cell_pool_->construct(Cell( other_it->first //key
+ , coeff_field_.additive_identity()
+ , &target));
+
+ coeff_field_.plus_times_equal(cell_tmp->coefficient_, other_it->second, w);
+
+ target.col_.insert( target.col_.end(), *cell_tmp );
+
+ ++other_it;
+ }
+}
+
+/*
+ * Compare two intervals by length.
+ */
+struct cmp_intervals_by_length {
+ cmp_intervals_by_length( Complex_ds * sc ) : sc_ (sc) {}
+ bool operator() ( Persistent_interval & p1
+ , Persistent_interval & p2 )
+ {
+ return ( sc_->filtration( get<1>(p1) ) - sc_->filtration( get<0>(p1) )
+ > sc_->filtration( get<1>(p2) ) - sc_->filtration( get<0>(p2) ) );
+ }
+ Complex_ds * sc_;
+};
+
+public:
+/** \brief Output the persistence diagram in ostream.
+ *
+ * The file format is the following:
+ * p1*...*pr dim b d
+ *
+ * where "dim" is the dimension of the homological feature,
+ * b and d are respectively the birth and death of the feature and
+ * p1*...*pr is the product of prime numbers pi such that the homology
+ * feature exists in homology with Z/piZ coefficients.
+ */
+void output_diagram(std::ostream& ostream = std::cout)
+{
+ cmp_intervals_by_length cmp( cpx_ );
+ persistent_pairs_.sort( cmp );
+ for(auto pair : persistent_pairs_)
+ {
+ ostream << get<2>(pair) << " "
+ << cpx_->dimension(get<0>(pair)) << " "
+ << cpx_->filtration(get<0>(pair)) << " "
+ << cpx_->filtration(get<1>(pair)) << " "
+ << std::endl;
+ }
+}
+
+private:
+/*
+ * Structure representing a cocycle.
+ */
+struct cocycle {
+ cocycle() {}
+ cocycle( Arith_element characteristics
+ , Hcell * row )
+ : row_(row), characteristics_(characteristics) {}
+
+ Hcell * row_; //points to the corresponding row in the CAM
+ Arith_element characteristics_; //product of field characteristics for which the cocycle exist
+};
+
+public:
+ Complex_ds * cpx_;
+ int dim_max_;
+ CoefficientField coeff_field_;
+
+/* Disjoint sets data structure to link the model of FilteredComplex
+ * with the compressed annotation matrix.
+ * ds_rank_ is a property map Simplex_key -> int, ds_parent_ is a property map
+ * Simplex_key -> simplex_key_t */
+ std::vector< int > ds_rank_;
+ std::vector< Simplex_key > ds_parent_;
+ std::vector< Column * > ds_repr_;
+ boost::disjoint_sets< int *, Simplex_key * > dsets_;
+/* The compressed annotation matrix fields.*/
+ Cam cam_;
+/* Dictionary establishing the correspondance between the Simplex_key of
+ * the root vertex in the union-find ds and the Simplex_key of the vertex which
+ * created the connected component as a 0-dimension homology feature.*/
+ std::map<Simplex_key,Simplex_key> zero_cocycles_;
+/* Key -> row. */
+ std::map< Simplex_key , cocycle > transverse_idx_;
+/* Persistent intervals. */
+ std::list< Persistent_interval > persistent_pairs_;
+ length_interval interval_length_policy;
+
+ boost::object_pool< Column > * column_pool_;
+ boost::object_pool< Cell > * cell_pool_;
+};
+
+/** @} */ //end defgroup persistent_cohomology
+
+} // namespace GUDHI
+
+#endif // _PERSISTENCECOMPUTATION_SIMPLEXTREE_
diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h
new file mode 100644
index 00000000..af0d6605
--- /dev/null
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h
@@ -0,0 +1,106 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_FIELD_ZP_H
+#define GUDHI_FIELD_ZP_H
+
+namespace Gudhi{
+
+/** \brief Structure representing the coefficient field \f$\mathbb{Z}/p\mathbb{Z}\f$
+ *
+ * \implements CoefficientField
+ * \ingroup persistent_cohomology
+ */
+class Field_Zp {
+public:
+typedef int Element;
+
+Field_Zp()
+: Prime(-1)
+, inverse_() {}
+
+void init(int charac ) {
+ assert(charac <= 32768);
+ Prime = charac;
+ inverse_.clear();
+ inverse_.reserve(charac);
+ inverse_.push_back(0);
+ for(int i=1 ; i<Prime ; ++i)
+ {
+ int inv = 1;
+ while(((inv * i) % Prime) != 1) ++inv;
+ inverse_.push_back(inv);
+ }
+}
+
+/** Set x <- x + w * y*/
+void plus_times_equal ( Element & x, Element y, Element w )
+{ x = (x + w * y) % Prime; }
+
+// operator= defined on Element
+
+/** Returns y * w */
+Element times ( Element y, int w ) {
+ Element res = (y * w) % Prime;
+ if(res < 0) return res+Prime;
+ else return res;
+}
+
+void clear_coefficient(Element x) {}
+
+void plus_equal(Element & x, Element y) { x = ((x+y)%Prime); }
+
+/** \brief Returns the additive idendity \f$0_{\Bbbk}\f$ of the field.*/
+Element additive_identity () { return 0; }
+/** \brief Returns the multiplicative identity \f$1_{\Bbbk}\f$ of the field.*/
+Element multiplicative_identity ( Element P = 0) { return 1; }
+/** Returns the inverse in the field. Modifies P.*/
+std::pair<Element,Element> inverse ( Element x
+ , Element P )
+{ return std::pair<Element,Element>(inverse_[x],P);
+} // <------ return the product of field characteristic for which x is invertible
+
+/** Returns -x * y.*/
+Element times_minus ( Element x, Element y )
+{
+ Element out = (-x * y) % Prime;
+ return (out < 0) ? out + Prime : out;
+}
+
+
+bool is_one ( Element x ) { return x == 1; }
+bool is_zero ( Element x ) { return x == 0; }
+
+//bool is_null()
+
+/** \brief Returns the characteristic \f$p\f$ of the field.*/
+Element characteristic() { return Prime; }
+
+private:
+ Element Prime;
+/** Property map Element -> Element, which associate to an element its inverse in the field.*/
+ std::vector< Element > inverse_;
+};
+
+} // namespace GUDHI
+
+#endif // GUDHI_FIELD_ZP_H
diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h
new file mode 100644
index 00000000..9dd0998c
--- /dev/null
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h
@@ -0,0 +1,167 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_MULTI_FIELD_H
+#define GUDHI_MULTI_FIELD_H
+
+#include <iostream>
+#include <vector>
+#include <gmpxx.h>
+
+namespace Gudhi{
+
+/** \brief Structure representing coefficients in a set of finite fields simultaneously
+ * using the chinese remainder theorem.
+ *
+ * \implements CoefficientField
+ * \ingroup persistent_cohomology
+
+ * Details on the algorithms may be found in \cite boissonnat:hal-00922572
+ */
+class Multi_field {
+public:
+ typedef mpz_class Element;
+
+ Multi_field () {}
+
+/* Initialize the multi-field. The generation of prime numbers might fail with
+ * a very small probability.*/
+ void init(int min_prime, int max_prime)
+ {
+ if(max_prime<2)
+ { std::cerr << "There is no prime less than " << max_prime << std::endl; }
+ if(min_prime > max_prime)
+ { std::cerr << "No prime in ["<<min_prime<<":"<<max_prime<<"]"<<std::endl; }
+ // fill the list of prime numbers
+ unsigned int curr_prime = min_prime;
+ mpz_t tmp_prime; mpz_init_set_ui(tmp_prime,min_prime);
+ //test if min_prime is prime
+ int is_prime = mpz_probab_prime_p(tmp_prime,25); //probabilistic primality test
+
+ if(is_prime == 0) //min_prime is composite
+ {
+ mpz_nextprime(tmp_prime,tmp_prime);
+ curr_prime = mpz_get_ui(tmp_prime);
+ }
+
+ while (curr_prime <= max_prime)
+ {
+ primes_.push_back(curr_prime);
+ mpz_nextprime(tmp_prime,tmp_prime);
+ curr_prime = mpz_get_ui(tmp_prime);
+ }
+ //set m to primorial(bound_prime)
+ prod_characteristics_ = 1;
+ for(auto p : primes_)
+ { mpz_mul_ui(prod_characteristics_.get_mpz_t(),
+ prod_characteristics_.get_mpz_t(),
+ p);
+ }
+
+ num_primes_ = primes_.size();
+
+ //Uvect_
+ Element Ui; Element tmp_elem;
+ for(auto p : primes_)
+ {
+ tmp_elem = prod_characteristics_ / p;
+ //Element tmp_elem_bis = 10;
+ mpz_powm_ui ( tmp_elem.get_mpz_t()
+ , tmp_elem.get_mpz_t()
+ , p - 1
+ , prod_characteristics_.get_mpz_t() );
+ Uvect_.push_back(tmp_elem);
+ }
+ mult_id_all = 0;
+ for(int idx = 0; idx < num_primes_; ++idx)
+ { mult_id_all = (mult_id_all + Uvect_[idx]) % prod_characteristics_; }
+
+ }
+
+ void clear_coefficient(Element & x) { mpz_clear(x.get_mpz_t()); }
+
+ /** \brief Returns the additive idendity \f$0_{\Bbbk}\f$ of the field.*/
+ Element additive_identity () { return 0; }
+ /** \brief Returns the multiplicative identity \f$1_{\Bbbk}\f$ of the field.*/
+ Element multiplicative_identity () { return mult_id_all; }// 1 everywhere
+
+ Element multiplicative_identity (Element Q)
+ {
+ if(Q == prod_characteristics_) { return multiplicative_identity(); }
+
+ Element mult_id = 0;
+ for(int idx = 0; idx < num_primes_; ++idx) {
+ if( (Q % primes_[idx]) == 0 )
+ { mult_id = (mult_id + Uvect_[idx]) % prod_characteristics_; }
+ }
+ return mult_id;
+ }
+
+ /** Returns y * w */
+ Element times ( Element y, int w ) {
+ Element tmp = (y*w) % prod_characteristics_;
+ if(tmp < 0) return prod_characteristics_ + tmp;
+ return tmp;
+ }
+
+ void plus_equal(Element & x, Element y)
+ { x += y; x %= prod_characteristics_; }
+
+ /** \brief Returns the characteristic \f$p\f$ of the field.*/
+ Element characteristic() { return prod_characteristics_; }
+
+ /** Returns the inverse in the field. Modifies P.*/
+ std::pair<Element,Element> inverse ( Element x
+ , Element QS )
+ {
+ Element QR;
+ mpz_gcd( QR.get_mpz_t(), x.get_mpz_t(), QS.get_mpz_t() ); // QR <- gcd(x,QS)
+ if( QR == QS ) return std::pair<Element,Element>(additive_identity()
+ , multiplicative_identity() ); //partial inverse is 0
+ Element QT = QS / QR;
+ Element inv_qt;
+ mpz_invert(inv_qt.get_mpz_t(), x.get_mpz_t(), QT.get_mpz_t());
+
+ return std::pair<Element,Element>(
+ (inv_qt * multiplicative_identity(QT)) % prod_characteristics_
+ , QT );
+ }
+ /** Returns -x * y.*/
+ Element times_minus ( Element x, Element y )
+ { return prod_characteristics_ - ((x*y)%prod_characteristics_); }
+
+ /** Set x <- x + w * y*/
+ void plus_times_equal ( Element & x, Element y, Element w )
+ { x = (x + w * y) % prod_characteristics_; }
+
+ Element prod_characteristics_; //product of characteristics of the fields
+ //represented by the multi-field class
+ std::vector<int> primes_; //all the characteristics of the fields
+ std::vector<Element> Uvect_;
+ size_t num_primes_; //number of fields
+ Element mult_id_all;
+
+};
+
+} // namespace GUDHI
+
+#endif // GUDHI_MULTI_FIELD_H
diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h
new file mode 100644
index 00000000..0702c58e
--- /dev/null
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h
@@ -0,0 +1,153 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_COLUMN_LIST_H
+#define GUDHI_COLUMN_LIST_H
+
+#include "boost/tuple/tuple.hpp"
+#include "boost/intrusive/set.hpp"
+#include "boost/intrusive/list.hpp"
+
+namespace Gudhi{
+
+template < typename SimplexKey
+ , typename ArithmeticElement
+ >
+class Persistent_cohomology_column;
+
+struct cam_h_tag; // for horizontal traversal in the CAM
+struct cam_v_tag; // for vertical traversal in the CAM
+
+typedef boost::intrusive::list_base_hook
+ < boost::intrusive::tag < cam_h_tag >
+ , boost::intrusive::link_mode < boost::intrusive::auto_unlink > //allows .unlink()
+ > base_hook_cam_h;
+
+typedef boost::intrusive::list_base_hook
+ < boost::intrusive::tag < cam_v_tag >
+ , boost::intrusive::link_mode < boost::intrusive::normal_link > //faster hook, less safe
+ > base_hook_cam_v;
+
+/** \internal
+ * \brief
+ *
+ */
+template < typename SimplexKey
+ , typename ArithmeticElement
+ >
+class Persistent_cohomology_cell
+: public base_hook_cam_h
+, public base_hook_cam_v
+{
+ public:
+ template < class T1, class T2 > friend class Persistent_cohomology;
+ friend class Persistent_cohomology_column < SimplexKey , ArithmeticElement >;
+
+ typedef Persistent_cohomology_column< SimplexKey, ArithmeticElement > Column;
+
+ Persistent_cohomology_cell( SimplexKey key
+ , ArithmeticElement x
+ , Column * self_col)
+ : key_(key)
+ , coefficient_(x)
+ , self_col_(self_col) {}
+
+ SimplexKey key_;
+ ArithmeticElement coefficient_;
+ Column * self_col_;
+};
+
+
+
+
+
+/*
+ * \brief Sparse column for the Compressed Annotation Matrix.
+ *
+ * The non-zero coefficients of the column are stored in a
+ * boost::intrusive::list. Contains a hook to be stored in a
+ * boost::intrusive::set.
+ */
+template < typename SimplexKey
+ , typename ArithmeticElement >
+class Persistent_cohomology_column
+: public boost::intrusive::set_base_hook
+ < boost::intrusive::link_mode< boost::intrusive::normal_link > >
+{
+private:
+ template < class T1, class T2 > friend class Persistent_cohomology;
+
+ typedef Persistent_cohomology_cell < SimplexKey, ArithmeticElement > Cell;
+ typedef boost::intrusive::list < Cell
+ , boost::intrusive::constant_time_size<false>
+ , boost::intrusive::base_hook< base_hook_cam_v >
+ > Col_type;
+
+/** \brief Creates an empty column.*/
+ Persistent_cohomology_column (SimplexKey key)
+ {
+ class_key_ = key;
+ col_ = Col_type();
+ }
+public:
+ /** Copy constructor.*/
+ Persistent_cohomology_column( Persistent_cohomology_column const &other )
+ : col_()
+ , class_key_(other.class_key_)
+ { if(!other.col_.empty()) std::cerr << "Copying a non-empty column.\n"; }
+
+/** \brief Returns true iff the column is null.*/
+ bool is_null() { return col_.empty(); }
+/** \brief Returns the key of the representative simplex of
+ * the set of simplices having this column as annotation vector
+ * in the compressed annotation matrix.*/
+ SimplexKey class_key () { return class_key_; }
+
+/** \brief Lexicographic comparison of two columns.*/
+friend bool operator< ( const Persistent_cohomology_column& c1
+ , const Persistent_cohomology_column& c2)
+ {
+ typename Col_type::const_iterator it1 = c1.col_.begin();
+ typename Col_type::const_iterator it2 = c2.col_.begin();
+ while(it1 != c1.col_.end() && it2 != c2.col_.end())
+ {
+ if(it1->key_ == it2->key_)
+ { if(it1->coefficient_ == it2->coefficient_) { ++it1; ++it2; }
+ else { return it1->coefficient_ < it2->coefficient_; } }
+ else { return it1->key_ < it2->key_; }
+ }
+ return (it2 != c2.col_.end());
+ }
+
+ // void display()
+ // {
+ // for(auto cell : col_)
+ // { std::cout << "(" << cell.key_ <<":"<<cell.coefficient_<<") "; }
+ // }
+
+ Col_type col_;
+ SimplexKey class_key_;
+};
+
+} // namespace GUDHI
+
+#endif // GUDHI_COLUMN_LIST_H
diff --git a/src/Simplex_tree/concept/FiltrationValue.h b/src/Simplex_tree/concept/FiltrationValue.h
new file mode 100644
index 00000000..79ca06cc
--- /dev/null
+++ b/src/Simplex_tree/concept/FiltrationValue.h
@@ -0,0 +1,35 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+/** \brief Value type for a filtration function on a cell complex.
+ *
+ * A <EM>filtration</EM> of a cell complex (see FilteredComplex) is
+ * a function \f$f:\mathbf{K} \rightarrow \mathbb{R}\f$ satisfying \f$f(\tau)\leq
+ * f(\sigma)\f$ whenever \f$\tau \subseteq \sigma\f$. Ordering the simplices
+ * by increasing filtration values (breaking ties so as a simplex appears after
+ * its subsimplices of same filtration value) provides an indexing scheme
+ * (see IndexingTag).
+ */
+ struct FiltrationValue {
+ /** \brief Operator < is a StrictWeakOrdering. */
+ bool operator<(FiltrationValue f1, FiltrationValue f2);
+ };
diff --git a/src/Simplex_tree/concept/IndexingTag.h b/src/Simplex_tree/concept/IndexingTag.h
new file mode 100644
index 00000000..d690da11
--- /dev/null
+++ b/src/Simplex_tree/concept/IndexingTag.h
@@ -0,0 +1,30 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+/** \brief Concept describing an indexing scheme (see FilteredComplex)
+ * for applying
+ * continuous maps to a cell complex, and compute its persistent
+ * homology.
+ *
+ * Must be linear_indexing_tag.
+ */
+struct IndexingTag {};
diff --git a/src/Simplex_tree/concept/SimplexKey.h b/src/Simplex_tree/concept/SimplexKey.h
new file mode 100644
index 00000000..ce5b2382
--- /dev/null
+++ b/src/Simplex_tree/concept/SimplexKey.h
@@ -0,0 +1,28 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+ /** \brief Key type used as simplex identifier.
+ *
+ * Must be <CODE>int</CODE>
+ */
+ struct SimplexKey {};
+ \ No newline at end of file
diff --git a/src/Simplex_tree/concept/VertexHandle.h b/src/Simplex_tree/concept/VertexHandle.h
new file mode 100644
index 00000000..491f0f56
--- /dev/null
+++ b/src/Simplex_tree/concept/VertexHandle.h
@@ -0,0 +1,26 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+/** \brief Handle type for the vertices of a cell complex.
+ *
+ * Must be int.*/
+struct VertexHandle {};
diff --git a/src/Simplex_tree/example/CMakeLists.txt b/src/Simplex_tree/example/CMakeLists.txt
new file mode 100644
index 00000000..6a392d3b
--- /dev/null
+++ b/src/Simplex_tree/example/CMakeLists.txt
@@ -0,0 +1,22 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHISimplexTreeFromFile)
+
+# NEED TO FIND BOOST NEEDED COMPONENTS TO LINK WITH
+find_package(Boost 1.45.0 COMPONENTS system thread)
+message("Boost_lib = ${Boost_LIBRARIES}")
+
+add_executable ( simplex_tree_from_file simplex_tree_from_file.cpp )
+target_link_libraries(simplex_tree_from_file ${Boost_LIBRARIES})
+
+add_executable ( simple_simplex_tree simple_simplex_tree.cpp )
+target_link_libraries(simple_simplex_tree ${Boost_LIBRARIES})
+
+# An example with Simplex-tree using CGAL alpha_shapes_3
+if(GMPXX_FOUND AND GMP_FOUND AND CGAL_FOUND)
+ message("CGAL_lib = ${CGAL_LIBRARIES_DIR}")
+ message("GMPXX_LIBRARIES = ${GMPXX_LIBRARIES}")
+ message("GMP_LIBRARIES = ${GMP_LIBRARIES}")
+
+ add_executable ( simplex_tree_from_alpha_shapes_3 simplex_tree_from_alpha_shapes_3.cpp )
+ target_link_libraries(simplex_tree_from_alpha_shapes_3 ${Boost_LIBRARIES} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES} ${CGAL_LIBRARY})
+endif()
diff --git a/src/Simplex_tree/example/README b/src/Simplex_tree/example/README
new file mode 100644
index 00000000..210c922b
--- /dev/null
+++ b/src/Simplex_tree/example/README
@@ -0,0 +1,73 @@
+To build the example, run in a Terminal:
+
+cd /path-to-gudhi/
+cmake .
+cd /path-to-example/
+make
+
+
+Example of use :
+
+*** Simple simplex tree construction
+
+./simple_simplex_tree
+
+********************************************************************
+EXAMPLE OF SIMPLE INSERTION
+ * INSERT 0
+ + 0 INSERTED
+ * INSERT 1
+ + 1 INSERTED
+ * INSERT (0,1)
+ + (0,1) INSERTED
+ * INSERT 2
+ + 2 INSERTED
+ * INSERT (2,0)
+ + (2,0) INSERTED
+ * INSERT (2,1)
+ + (2,1) INSERTED
+ * INSERT (2,1,0)
+ + (2,1,0) INSERTED
+ * INSERT 3
+ + 3 INSERTED
+ * INSERT (3,0)
+ + (3,0) INSERTED
+ * INSERT 0 (already inserted)
+ - 0 NOT INSERTED
+ * INSERT (2,1,0) (already inserted)
+ - (2,1,0) NOT INSERTED
+********************************************************************
+* The complex contains 9 simplices
+ - dimension 2 - filtration 0.4
+* Iterator on Simplices in the filtration, with [filtration value]:
+ [0.1] 0
+ [0.1] 1
+ [0.1] 2
+ [0.1] 3
+ [0.2] 1 0
+ [0.2] 2 0
+ [0.2] 2 1
+ [0.2] 3 0
+ [0.3] 2 1 0
+
+*** Simplex tree construction with Z/2Z coefficients on points sampling a Klein bottle:
+
+./simplex_tree_from_file ../../../data/points/Klein_bottle_complex.txt 2
+Insert the 1-skeleton in the simplex tree in 0 s.
+Expand the simplex tree in 0 s.
+Information of the Simplex Tree:
+ Number of vertices = 10 Number of simplices = 82
+
+with Z/3Z coefficients:
+
+./simplex_tree_from_file ../../../data/points/Klein_bottle_complex.txt 3
+
+Insert the 1-skeleton in the simplex tree in 0 s.
+Expand the simplex tree in 0 s.
+Information of the Simplex Tree:
+ Number of vertices = 10 Number of simplices = 106
+
+*** Simplex_tree computed from a Alpha-shapes 3:
+ [ Requires CGAL, GMP and GMPXX to be installed]
+
+./simplex_tree_from_alpha_shapes_3 ../../../data/points/bunny_5000
diff --git a/src/Simplex_tree/example/simple_simplex_tree.cpp b/src/Simplex_tree/example/simple_simplex_tree.cpp
new file mode 100644
index 00000000..0ed2039f
--- /dev/null
+++ b/src/Simplex_tree/example/simple_simplex_tree.cpp
@@ -0,0 +1,302 @@
+/* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+#include <iostream>
+#include <ctime>
+#include "gudhi/graph_simplicial_complex.h"
+#include "gudhi/Simplex_tree.h"
+
+using namespace Gudhi;
+
+typedef std::vector< Vertex_handle > typeVectorVertex;
+typedef std::pair<typeVectorVertex, Filtration_value> typeSimplex;
+typedef std::pair< Simplex_tree<>::Simplex_handle, bool > typePairSimplexBool;
+
+int main (int argc, char * const argv[])
+{
+ const Filtration_value FIRST_FILTRATION_VALUE = 0.1;
+ const Filtration_value SECOND_FILTRATION_VALUE = 0.2;
+ const Filtration_value THIRD_FILTRATION_VALUE = 0.3;
+ const Filtration_value FOURTH_FILTRATION_VALUE = 0.4;
+ Vertex_handle FIRST_VERTEX_HANDLE = (Vertex_handle)0;
+ Vertex_handle SECOND_VERTEX_HANDLE = (Vertex_handle)1;
+ Vertex_handle THIRD_VERTEX_HANDLE = (Vertex_handle)2;
+ Vertex_handle FOURTH_VERTEX_HANDLE = (Vertex_handle)3;
+
+ // TEST OF INSERTION
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "EXAMPLE OF SIMPLE INSERTION" << std::endl;
+ //Construct the Simplex Tree
+ Simplex_tree<> simplexTree;
+
+ // Simplex to be inserted:
+ // 1
+ // o
+ // /X\
+ // o---o---o
+ // 2 0 3
+
+ // ++ FIRST
+ std::cout << " * INSERT 0" << std::endl;
+ typeVectorVertex firstSimplexVector;
+ firstSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ typeSimplex firstSimplex = std::make_pair(firstSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ typePairSimplexBool returnValue =
+ simplexTree.insert ( firstSimplex.first, firstSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + 0 INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - 0 NOT INSERTED" << std::endl;
+ }
+
+ // ++ SECOND
+ std::cout << " * INSERT 1" << std::endl;
+ typeVectorVertex secondSimplexVector;
+ secondSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ typeSimplex secondSimplex = std::make_pair(secondSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( secondSimplex.first, secondSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + 1 INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - 1 NOT INSERTED" << std::endl;
+ }
+
+ // ++ THIRD
+ std::cout << " * INSERT (0,1)" << std::endl;
+ typeVectorVertex thirdSimplexVector;
+ thirdSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ thirdSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ typeSimplex thirdSimplex = std::make_pair(thirdSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( thirdSimplex.first, thirdSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + (0,1) INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - (0,1) NOT INSERTED" << std::endl;
+ }
+
+ // ++ FOURTH
+ std::cout << " * INSERT 2" << std::endl;
+ typeVectorVertex fourthSimplexVector;
+ fourthSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ typeSimplex fourthSimplex = std::make_pair(fourthSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( fourthSimplex.first, fourthSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + 2 INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - 2 NOT INSERTED" << std::endl;
+ }
+
+ // ++ FIFTH
+ std::cout << " * INSERT (2,0)" << std::endl;
+ typeVectorVertex fifthSimplexVector;
+ fifthSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ fifthSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ typeSimplex fifthSimplex = std::make_pair(fifthSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( fifthSimplex.first, fifthSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + (2,0) INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - (2,0) NOT INSERTED" << std::endl;
+ }
+
+ // ++ SIXTH
+ std::cout << " * INSERT (2,1)" << std::endl;
+ typeVectorVertex sixthSimplexVector;
+ sixthSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ sixthSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ typeSimplex sixthSimplex = std::make_pair(sixthSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( sixthSimplex.first, sixthSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + (2,1) INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - (2,1) NOT INSERTED" << std::endl;
+ }
+
+ // ++ SEVENTH
+ std::cout << " * INSERT (2,1,0)" << std::endl;
+ typeVectorVertex seventhSimplexVector;
+ seventhSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ seventhSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ seventhSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ typeSimplex seventhSimplex = std::make_pair(seventhSimplexVector, Filtration_value(THIRD_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( seventhSimplex.first, seventhSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + (2,1,0) INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - (2,1,0) NOT INSERTED" << std::endl;
+ }
+
+ // ++ EIGHTH
+ std::cout << " * INSERT 3" << std::endl;
+ typeVectorVertex eighthSimplexVector;
+ eighthSimplexVector.push_back(FOURTH_VERTEX_HANDLE);
+ typeSimplex eighthSimplex = std::make_pair(eighthSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( eighthSimplex.first, eighthSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + 3 INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - 3 NOT INSERTED" << std::endl;
+ }
+
+ // ++ NINETH
+ std::cout << " * INSERT (3,0)" << std::endl;
+ typeVectorVertex ninethSimplexVector;
+ ninethSimplexVector.push_back(FOURTH_VERTEX_HANDLE);
+ ninethSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ typeSimplex ninethSimplex = std::make_pair(ninethSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( ninethSimplex.first, ninethSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + (3,0) INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - (3,0) NOT INSERTED" << std::endl;
+ }
+
+ // ++ TENTH
+ std::cout << " * INSERT 0 (already inserted)" << std::endl;
+ typeVectorVertex tenthSimplexVector;
+ tenthSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ typeSimplex tenthSimplex = std::make_pair(tenthSimplexVector, Filtration_value(FOURTH_FILTRATION_VALUE)); // With a different filtration value
+ returnValue =
+ simplexTree.insert ( tenthSimplex.first, tenthSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + 0 INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - 0 NOT INSERTED" << std::endl;
+ }
+
+ // ++ ELEVENTH
+ std::cout << " * INSERT (2,1,0) (already inserted)" << std::endl;
+ typeVectorVertex eleventhSimplexVector;
+ eleventhSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ eleventhSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ eleventhSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ typeSimplex eleventhSimplex = std::make_pair(eleventhSimplexVector, Filtration_value(FOURTH_FILTRATION_VALUE));
+ returnValue =
+ simplexTree.insert ( eleventhSimplex.first, eleventhSimplex.second );
+
+ if (returnValue.second == true)
+ {
+ std::cout << " + (2,1,0) INSERTED" << std::endl;
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+ }
+ else
+ {
+ std::cout << " - (2,1,0) NOT INSERTED" << std::endl;
+ }
+
+ // ++ GENERAL VARIABLE SET
+ simplexTree.set_filtration(FOURTH_FILTRATION_VALUE); // Max filtration value
+ simplexTree.set_dimension(2); // Max dimension = 2 -> (2,1,0)
+
+ std::cout << "********************************************************************" << std::endl;
+ // Display the Simplex_tree - Can not be done in the middle of 2 inserts
+ std::cout << "* The complex contains " << simplexTree.num_simplices() << " simplices" << std::endl;
+ std::cout << " - dimension " << simplexTree.dimension() << " - filtration " << simplexTree.filtration() << std::endl;
+ std::cout << "* Iterator on Simplices in the filtration, with [filtration value]:" << std::endl;
+ for( auto f_simplex : simplexTree.filtration_simplex_range() )
+ {
+ std::cout << " " << "[" << simplexTree.filtration(f_simplex) << "] ";
+ for( auto vertex : simplexTree.simplex_vertex_range(f_simplex) )
+ {
+ std::cout << (int)vertex << " ";
+ }
+ std::cout << std::endl;
+ }
+ // [0.1] 0
+ // [0.1] 1
+ // [0.1] 2
+ // [0.1] 3
+ // [0.2] 1 0
+ // [0.2] 2 0
+ // [0.2] 2 1
+ // [0.2] 3 0
+ // [0.3] 2 1 0
+}
diff --git a/src/Simplex_tree/example/simplex_tree_from_alpha_shapes_3.cpp b/src/Simplex_tree/example/simplex_tree_from_alpha_shapes_3.cpp
new file mode 100644
index 00000000..dd76dfcf
--- /dev/null
+++ b/src/Simplex_tree/example/simplex_tree_from_alpha_shapes_3.cpp
@@ -0,0 +1,284 @@
+ /* 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/>.
+ */
+
+#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 "gudhi/graph_simplicial_complex.h"
+#include "gudhi/Simplex_tree.h"
+#include <boost/variant.hpp>
+
+// Alpha_shape_3 templates type definitions
+typedef CGAL::Exact_predicates_inexact_constructions_kernel Kernel;
+typedef CGAL::Alpha_shape_vertex_base_3<Kernel> Vb;
+typedef CGAL::Alpha_shape_cell_base_3<Kernel> Fb;
+typedef CGAL::Triangulation_data_structure_3<Vb,Fb> Tds;
+typedef CGAL::Delaunay_triangulation_3<Kernel,Tds> Triangulation_3;
+typedef CGAL::Alpha_shape_3<Triangulation_3> Alpha_shape_3;
+
+// From file type definition
+typedef Kernel::Point_3 Point;
+
+// filtration with alpha values needed type definition
+typedef Alpha_shape_3::FT Alpha_value_type;
+typedef CGAL::Object Object;
+typedef CGAL::Dispatch_output_iterator<
+ CGAL::cpp11::tuple<Object, Alpha_value_type>,
+ CGAL::cpp11::tuple<std::back_insert_iterator< std::vector<Object> >, std::back_insert_iterator< std::vector<Alpha_value_type> >
+ > > Dispatch;
+typedef Alpha_shape_3::Cell_handle Cell_handle;
+typedef Alpha_shape_3::Facet Facet;
+typedef Alpha_shape_3::Edge Edge;
+typedef std::list<Alpha_shape_3::Vertex_handle> Vertex_list;
+
+// gudhi type definition
+typedef Gudhi::Simplex_tree<>::Vertex_handle Simplex_tree_vertex;
+typedef std::map<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex > Alpha_shape_simplex_tree_map;
+typedef std::pair<Alpha_shape_3::Vertex_handle, Simplex_tree_vertex> Alpha_shape_simplex_tree_pair;
+typedef std::vector< Simplex_tree_vertex > Simplex_tree_vector_vertex;
+
+//#define DEBUG_TRACES
+
+Vertex_list from (const Cell_handle& ch)
+{
+ Vertex_list the_list;
+ for (auto i = 0; i < 4; i++)
+ {
+#ifdef DEBUG_TRACES
+ std::cout << "from cell[" << i << "]=" << ch->vertex(i)->point() << std::endl;
+#endif // DEBUG_TRACES
+ the_list.push_back(ch->vertex(i));
+ }
+ return the_list;
+}
+Vertex_list from (const Facet& fct)
+{
+ Vertex_list the_list;
+ for (auto i = 0; i < 4; i++)
+ {
+ if (fct.second != i)
+ {
+#ifdef DEBUG_TRACES
+ std::cout << "from facet=[" << i << "]" << fct.first->vertex(i)->point() << std::endl;
+#endif // DEBUG_TRACES
+ the_list.push_back(fct.first->vertex(i));
+ }
+ }
+ return the_list;
+}
+Vertex_list from (const Edge& edg)
+{
+ Vertex_list the_list;
+ for (auto i = 0; i < 4; i++)
+ {
+ if ((edg.second == i) ||(edg.third == i))
+ {
+#ifdef DEBUG_TRACES
+ std::cout << "from edge[" << i << "]=" << edg.first->vertex(i)->point() << std::endl;
+#endif // DEBUG_TRACES
+ the_list.push_back(edg.first->vertex(i));
+ }
+ }
+ return the_list;
+}
+Vertex_list from (const Alpha_shape_3::Vertex_handle& vh)
+{
+ Vertex_list the_list;
+#ifdef DEBUG_TRACES
+ std::cout << "from vertex=" << vh->point() << std::endl;
+#endif // DEBUG_TRACES
+ the_list.push_back(vh);
+ return the_list;
+}
+
+
+int main (int argc, char * const argv[])
+{
+ // program args management
+ if (argc != 2) {
+ std::cerr << "Usage: " << argv[0]
+ << " path_to_file_graph \n";
+ return 0; // ----- >>
+ }
+
+ // Read points from file
+ std::string filegraph = argv[1];
+ std::list<Point> lp;
+ std::ifstream is(filegraph.c_str());
+ int n;
+ is >> n;
+#ifdef DEBUG_TRACES
+ std::cout << "Reading " << n << " points " << std::endl;
+#endif // DEBUG_TRACES
+ Point p;
+ for( ; n>0 ; n--) {
+ is >> p;
+ lp.push_back(p);
+ }
+
+ // alpha shape construction from points
+ Alpha_shape_3 as(lp.begin(),lp.end());
+#ifdef DEBUG_TRACES
+ std::cout << "Alpha shape computed in REGULARIZED mode by default" << 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;
+ Gudhi::Simplex_tree<> 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();
+ 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);
+ count_cells++;
+ }
+ else if (const Facet* facet = CGAL::object_cast<Facet>(&object_iterator))
+ {
+ vertex_list = from(*facet);
+ count_facets++;
+ }
+ else if (const Edge* edge = CGAL::object_cast<Edge>(&object_iterator))
+ {
+ vertex_list = from(*edge);
+ count_edges++;
+ }
+ else if (const Alpha_shape_3::Vertex_handle* vertex = CGAL::object_cast<Alpha_shape_3::Vertex_handle>(&object_iterator))
+ {
+ count_vertices++;
+ vertex_list = from(*vertex);
+ }
+ // 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
+#ifdef DEBUG_TRACES
+ std::cout << "filtration = " << *the_alpha_value_iterator << std::endl;
+#endif // DEBUG_TRACES
+ simplex_tree.insert(the_simplex_tree, *the_alpha_value_iterator);
+ 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;
+#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
+
+ std::cout << simplex_tree << std::endl;
+
+#ifdef DEBUG_TRACES
+ std::cout << std::endl << std::endl << "Iterator on simplices: " << std::endl;
+ for( auto simplex : simplex_tree.complex_simplex_range() )
+ {
+ std::cout << " ";
+ for( auto vertex : simplex_tree.simplex_vertex_range(simplex) ) { std::cout << vertex << " "; }
+ std::cout << std::endl;
+ }
+#endif // DEBUG_TRACES
+#ifdef DEBUG_TRACES
+ std::cout << std::endl << std::endl << "Iterator on Simplices in the filtration, with [filtration value]:" << std::endl;
+ for( auto f_simplex : simplex_tree.filtration_simplex_range() )
+ { std::cout << " " << "[" << simplex_tree.filtration(f_simplex) << "] ";
+ for( auto vertex : simplex_tree.simplex_vertex_range(f_simplex) )
+ { std::cout << vertex << " "; }
+ std::cout << std::endl;
+ }
+#endif // DEBUG_TRACES
+#ifdef DEBUG_TRACES
+ std::cout << std::endl << std::endl << "Iterator on Simplices in the filtration, and their boundary simplices:" << std::endl;
+ for( auto f_simplex : simplex_tree.filtration_simplex_range() )
+ {
+ std::cout << " " << "[" << simplex_tree.filtration(f_simplex) << "] ";
+ for( auto vertex : simplex_tree.simplex_vertex_range(f_simplex) )
+ { std::cout << vertex << " "; }
+ std::cout << std::endl;
+
+ for( auto b_simplex : simplex_tree.boundary_simplex_range(f_simplex) )
+ {
+ std::cout << " " << "[" << simplex_tree.filtration(b_simplex) << "] ";
+ for( auto vertex : simplex_tree.simplex_vertex_range(b_simplex) )
+ { std::cout << vertex << " "; }
+ std::cout << std::endl;
+ }
+ }
+#endif // DEBUG_TRACES
+
+ return 0;
+}
diff --git a/src/Simplex_tree/example/simplex_tree_from_file.cpp b/src/Simplex_tree/example/simplex_tree_from_file.cpp
new file mode 100644
index 00000000..20e8f067
--- /dev/null
+++ b/src/Simplex_tree/example/simplex_tree_from_file.cpp
@@ -0,0 +1,104 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+#include <iostream>
+#include <ctime>
+#include "gudhi/reader_utils.h"
+#include "gudhi/Simplex_tree.h"
+
+using namespace Gudhi;
+
+int main (int argc, char * const argv[])
+{
+ if (argc != 3) {
+ std::cerr << "Usage: " << argv[0]
+ << " path_to_file_graph max_dim \n";
+ return 0;
+ }
+ std::string filegraph = argv[1];
+ int max_dim = atoi(argv[2]);
+
+ clock_t start, end;
+ //Construct the Simplex Tree
+ Simplex_tree<> st;
+
+ start = clock();
+ auto g = read_graph(filegraph);
+ st.insert_graph (g); //insert the graph in the simplex tree as 1-skeleton
+ end = clock();
+ std::cout << "Insert the 1-skeleton in the simplex tree in "
+ << (double)(end-start)/CLOCKS_PER_SEC << " s. \n";
+
+ start = clock();
+ st.expansion ( max_dim ); //expand the 1-skeleton until dimension max_dim
+ end = clock();
+ std::cout << "max_dim = " << max_dim << "\n";
+ std::cout << "Expand the simplex tree in "
+ << (double)(end-start)/CLOCKS_PER_SEC << " s. \n";
+
+ std::cout << "Information of the Simplex Tree: " << std::endl;
+ std::cout << " Number of vertices = " << st.num_vertices() << " ";
+ std::cout << " Number of simplices = " << st.num_simplices() << std::endl;
+ std::cout << std::endl << std::endl;
+
+ std::cout << "Iterator on vertices: ";
+ for( auto vertex : st.complex_vertex_range() ) { std::cout << vertex << " "; }
+
+ std::cout << std::endl;
+
+ std::cout << std::endl << std::endl;
+
+ std::cout << "Iterator on simplices: " << std::endl;
+ for( auto simplex : st.complex_simplex_range() )
+ {
+ std::cout << " ";
+ for( auto vertex : st.simplex_vertex_range(simplex) ) { std::cout << vertex << " "; }
+ std::cout << std::endl;
+ }
+
+ std::cout << std::endl << std::endl;
+
+ std::cout << "Iterator on Simplices in the filtration, with [filtration value]:" << std::endl;
+ for( auto f_simplex : st.filtration_simplex_range() )
+ { std::cout << " " << "[" << st.filtration(f_simplex) << "] ";
+ for( auto vertex : st.simplex_vertex_range(f_simplex) )
+ { std::cout << vertex << " "; } std::cout << std::endl;
+ }
+
+ std::cout << std::endl << std::endl;
+
+ std::cout << "Iterator on Simplices in the filtration, and their boundary simplices:" << std::endl;
+ for( auto f_simplex : st.filtration_simplex_range() )
+ {
+ std::cout << " " << "[" << st.filtration(f_simplex) << "] ";
+ for( auto vertex : st.simplex_vertex_range(f_simplex) )
+ { std::cout << vertex << " "; } std::cout << std::endl;
+
+ for( auto b_simplex : st.boundary_simplex_range(f_simplex) )
+ {
+ std::cout << " " << "[" << st.filtration(b_simplex) << "] ";
+ for( auto vertex : st.simplex_vertex_range(b_simplex) )
+ { std::cout << vertex << " "; } std::cout << std::endl;
+ }
+ }
+ return 0;
+}
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree.h b/src/Simplex_tree/include/gudhi/Simplex_tree.h
new file mode 100644
index 00000000..5caa5e25
--- /dev/null
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree.h
@@ -0,0 +1,810 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_SIMPLEX_TREE_H
+#define GUDHI_SIMPLEX_TREE_H
+
+#include <algorithm>
+#include <boost/container/flat_map.hpp>
+#include <boost/iterator/transform_iterator.hpp>
+#include <boost/graph/adjacency_list.hpp>
+#include "gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h"
+#include "gudhi/Simplex_tree/Simplex_tree_siblings.h"
+#include "gudhi/Simplex_tree/Simplex_tree_iterators.h"
+#include "gudhi/Simplex_tree/indexing_tag.h"
+
+namespace Gudhi{
+
+/** \defgroup simplex_tree Filtered Complexes Package
+ *
+ * A simplicial complex \f$\mathbf{K}\f$
+ * on a set of vertices \f$V = \{1, \cdots ,|V|\}\f$ is a collection of simplices
+ * \f$\{\sigma\}\f$,
+ * \f$\sigma \subseteq V\f$ such that \f$\tau \subseteq \sigma \in \mathbf{K} \rightarrow \tau \in
+ * \mathbf{K}\f$. The
+ * dimension \f$n=|\sigma|-1\f$ of \f$\sigma\f$ is its number of elements minus \f$1\f$.
+ *
+ * A filtration of a simplicial complex is
+ * a function \f$f:\mathbf{K} \rightarrow \mathbb{R}\f$ satisfying \f$f(\tau)\leq f(\sigma)\f$ whenever
+ * \f$\tau \subseteq \sigma\f$. Ordering the simplices by increasing filtration values
+ * (breaking ties so as a simplex appears after its subsimplices of same filtration value)
+ * provides an indexing scheme.
+ *
+
+ <DT>Implementations:</DT>
+ There are two implementation of complexes. The first on is the Simplex_tree data structure.
+ The simplex tree is an efficient and flexible
+ data structure for representing general (filtered) simplicial complexes. The data structure
+ is described in \cite boissonnatmariasimplextreealgorithmica
+
+ The second one is the Hasse_complex. The Hasse complex is a data structure representing
+ explicitly all co-dimension 1 incidence relations in a complex. It is consequently faster
+ when accessing the boundary of a simplex, but is less compact and harder to construct from
+ scratch.
+
+
+ * \author Clément Maria
+ * \version 1.0
+ * \date 2014
+ * \copyright GNU General Public License v3.
+ * @{
+ */
+/**
+ * \brief Simplex Tree data structure for representing simplicial complexes.
+ *
+ * \details Every simplex \f$[v_0, \cdots ,v_d]\f$ admits a canonical orientation
+ * induced by the order relation on vertices \f$ v_0 < \cdots < v_d \f$.
+ *
+ * Details may be found in \cite boissonnatmariasimplextreealgorithmica.
+ *
+ * \implements FilteredComplex
+ *
+ */
+template < typename IndexingTag = linear_indexing_tag
+ , typename FiltrationValue = double
+ , typename SimplexKey = int //must be a signed integer type
+ , typename VertexHandle = int //must be a signed integer type, int convertible to it
+// , bool ContiguousVertexHandles = true //true is Vertex_handles are exactly the set [0;n)
+ >
+class Simplex_tree
+{
+
+public:
+ typedef IndexingTag Indexing_tag;
+/** \brief Type for the value of the filtration function.
+ *
+ * Must be comparable with <. */
+ typedef FiltrationValue Filtration_value;
+/** \brief Key associated to each simplex.
+ *
+ * Must be a signed integer type. */
+ typedef SimplexKey Simplex_key;
+/** \brief Type for the vertex handle.
+ *
+ * Must be a signed integer type. It admits a total order <. */
+ typedef VertexHandle Vertex_handle;
+
+
+ /* Type of node in the simplex tree. */
+ typedef Simplex_tree_node_explicit_storage < Simplex_tree > Node;
+ /* Type of dictionary Vertex_handle -> Node for traversing the simplex tree. */
+ typedef typename boost::container::flat_map< Vertex_handle
+ , Node > Dictionary;
+
+
+ friend class Simplex_tree_node_explicit_storage < Simplex_tree < FiltrationValue
+ , SimplexKey
+ , VertexHandle > >;
+ friend class Simplex_tree_siblings < Simplex_tree < FiltrationValue
+ , SimplexKey
+ , VertexHandle >
+ , Dictionary > ;
+ friend class Simplex_tree_simplex_vertex_iterator < Simplex_tree < FiltrationValue
+ , SimplexKey
+ , VertexHandle > >;
+ friend class Simplex_tree_boundary_simplex_iterator < Simplex_tree < FiltrationValue
+ , SimplexKey
+ , VertexHandle > >;
+ friend class Simplex_tree_complex_simplex_iterator < Simplex_tree < FiltrationValue
+ , SimplexKey
+ , VertexHandle > >;
+ friend class Simplex_tree_skeleton_simplex_iterator < Simplex_tree < FiltrationValue
+ , SimplexKey
+ , VertexHandle > >;
+ template < class T1, class T2 > friend class Persistent_cohomology;
+
+ /* \brief Set of nodes sharing a same parent in the simplex tree. */
+ typedef Simplex_tree_siblings < Simplex_tree
+ , Dictionary > Siblings;
+public:
+/** \brief Handle type to a simplex contained in the simplicial complex represented
+ * byt he simplex tree. */
+ typedef typename Dictionary::iterator Simplex_handle;
+private:
+ typedef typename Dictionary::iterator Dictionary_it;
+ typedef typename Dictionary_it::value_type Dit_value_t;
+
+ struct return_first {
+ Vertex_handle operator()(const Dit_value_t& p_sh) const {return p_sh.first;}
+ };
+public:
+/** \name Range and iterator types
+ *
+ * The naming convention is Container_content_(iterator/range). A Container_content_range is
+ * essentially an object on which the methods begin() and end() can be called. They both return
+ * an object of type Container_content_iterator, and allow the traversal of the range
+ * [ begin();end() ).
+ * @{ */
+
+ /** \brief Iterator over the vertices of the simplicial complex.
+ *
+ * 'value_type' is Vertex_handle. */
+ typedef boost::transform_iterator < return_first, Dictionary_it > Complex_vertex_iterator ;
+ /** \brief Range over the vertices of the simplicial complex. */
+ typedef boost::iterator_range < Complex_vertex_iterator > Complex_vertex_range ;
+ /** \brief Iterator over the vertices of a simplex.
+ *
+ * 'value_type' is Vertex_handle. */
+ typedef Simplex_tree_simplex_vertex_iterator < Simplex_tree > Simplex_vertex_iterator ;
+ /** \brief Range over the vertices of a simplex. */
+ typedef boost::iterator_range < Simplex_vertex_iterator > Simplex_vertex_range ;
+ /** \brief Iterator over the simplices of the boundary of a simplex.
+ *
+ * 'value_type' is Simplex_handle. */
+ typedef Simplex_tree_boundary_simplex_iterator < Simplex_tree > Boundary_simplex_iterator ;
+ /** \brief Range over the simplices of the boundary of a simplex. */
+ typedef boost::iterator_range < Boundary_simplex_iterator > Boundary_simplex_range ;
+ /** \brief Iterator over the simplices of the simplicial complex.
+ *
+ * 'value_type' is Simplex_handle. */
+ typedef Simplex_tree_complex_simplex_iterator < Simplex_tree > Complex_simplex_iterator ;
+ /** \brief Range over the simplices of the simplicial complex. */
+ typedef boost::iterator_range < Complex_simplex_iterator > Complex_simplex_range ;
+ /** \brief Iterator over the simplices of the skeleton of the simplicial complex, for a given
+ * dimension.
+ *
+ * 'value_type' is Simplex_handle. */
+ typedef Simplex_tree_skeleton_simplex_iterator < Simplex_tree > Skeleton_simplex_iterator ;
+ /** \brief Range over the simplices of the skeleton of the simplicial complex, for a given
+ * dimension. */
+ typedef boost::iterator_range < Skeleton_simplex_iterator > Skeleton_simplex_range ;
+ /** \brief Iterator over the simplices of the simplicial complex, ordered by the filtration.
+ *
+ * 'value_type' is Simplex_handle. */
+ typedef typename std::vector < Simplex_handle >::iterator Filtration_simplex_iterator;
+ /** \brief Range over the simplices of the simplicial complex, ordered by the filtration. */
+ typedef boost::iterator_range < Filtration_simplex_iterator > Filtration_simplex_range ;
+
+/* @} */ //end name range and iterator types
+
+
+/** \name Range and iterator methods
+ * @{ */
+
+/** \brief Returns a range over the vertices of the simplicial complex.
+ *
+ * The order is increasing according to < on Vertex_handles.*/
+Complex_vertex_range complex_vertex_range()
+{ return Complex_vertex_range( boost::make_transform_iterator(root_.members_.begin(),return_first())
+ , boost::make_transform_iterator(root_.members_.end(),return_first())); }
+/** \brief Returns a range over the simplices of the simplicial complex.
+ *
+ * In the Simplex_tree, the tree is traverse in a depth-first fashion.
+ * Consequently, simplices are ordered according to lexicographic order on the list of
+ * Vertex_handles of a simplex, read in increasing < order for Vertex_handles. */
+ Complex_simplex_range complex_simplex_range()
+ { return Complex_simplex_range ( Complex_simplex_iterator(this),
+ Complex_simplex_iterator() ); }
+/** \brief Returns a range over the simplices of the dim-skeleton of the simplicial complex.
+ *
+ * The \f$d\f$-skeleton of a simplicial complex \f$\mathbf{K}\f$ is the simplicial complex containing the
+ * simplices of \f$\mathbf{K}\f$ of dimension at most \f$d\f$.
+ *
+ * @param[in] dim The maximal dimension of the simplices in the skeleton.
+ *
+ * The simplices are ordered according to lexicographic order on the list of
+ * Vertex_handles of a simplex, read in increasing < order for Vertex_handles. */
+ Skeleton_simplex_range skeleton_simplex_range(int dim)
+ { return Skeleton_simplex_range ( Skeleton_simplex_iterator(this,dim)
+ , Skeleton_simplex_iterator() ); }
+/** \brief Returns a range over the simplices of the simplicial complex,
+ * in the order of the filtration.
+ *
+ * The filtration is a monotonic function \f$ f: \mathbf{K} \rightarrow \mathbb{R} \f$, i.e. if two simplices
+ * \f$\tau\f$ and \f$\sigma\f$ satisfy \f$\tau \subseteq \sigma\f$ then
+ * \f$f(\tau) \leq f(\sigma)\f$.
+ *
+ * The method returns simplices ordered according to increasing filtration values. Ties are
+ * resolved by considering inclusion relation (subsimplices appear before their cofaces). If two
+ * simplices have same filtration value but are not comparable w.r.t. inclusion, lexicographic
+ * order is used.
+ *
+ * The filtration must be valid. If the filtration has not been initialized yet, the
+ * method initializes it (i.e. order the simplices). */
+ Filtration_simplex_range filtration_simplex_range(linear_indexing_tag)
+ { if(filtration_vect_.empty()) { initialize_filtration(); }
+ return Filtration_simplex_range ( filtration_vect_.begin()
+ , filtration_vect_.end()); }
+
+ Filtration_simplex_range filtration_simplex_range() {
+ return filtration_simplex_range(Indexing_tag());
+ }
+/** \brief Returns a range over the vertices of a simplex.
+ *
+ * The order in which the vertices are visited is the decreasing order for < on Vertex_handles,
+ * which is consequenlty
+ * equal to \f$(-1)^{\text{dim} \sigma}\f$ the canonical orientation on the simplex.
+ */
+ Simplex_vertex_range simplex_vertex_range(Simplex_handle sh)
+ { return Simplex_vertex_range ( Simplex_vertex_iterator(this,sh),
+ Simplex_vertex_iterator(this));}
+
+/** \brief Returns a range over the simplices of the boundary of a simplex.
+ *
+ * The boundary of a simplex is the set of codimension \f$1\f$ subsimplices of the simplex.
+ * If the simplex is \f$[v_0, \cdots ,v_d]\f$, with canonical orientation
+ * induced by \f$ v_0 < \cdots < v_d \f$, the iterator enumerates the
+ * simplices of the boundary in the order:
+ * \f$[v_0,\cdots,\widehat{v_i},\cdots,v_d]\f$ for \f$i\f$ from \f$0\f$ to \f$d\f$,
+ * where \f$\widehat{v_i}\f$ means that the vertex \f$v_i\f$ is omitted.
+ *
+ * We note that the alternate sum of the simplices given by the iterator
+ * gives \f$(-1)^{\text{dim} \sigma}\f$ the chains corresponding to the boundary
+ * of the simplex.
+ *
+ * @param[in] sh Simplex for which the boundary is computed. */
+ Boundary_simplex_range boundary_simplex_range(Simplex_handle sh)
+ { return Boundary_simplex_range ( Boundary_simplex_iterator(this,sh),
+ Boundary_simplex_iterator(this) ); }
+
+/** @} */ //end range and iterator methods
+
+
+/** \name Constructor/Destructor
+ * @{ */
+
+/** \brief Constructs an empty simplex tree. */
+ Simplex_tree ()
+ : null_vertex_(-1)
+ , threshold_(0)
+ , num_simplices_(0)
+ , root_(NULL,null_vertex_)
+ , filtration_vect_()
+ , dimension_(-1) {}
+
+/** \brief Destructor; deallocates the whole tree structure. */
+~Simplex_tree()
+{
+ for(auto sh = root_.members().begin(); sh != root_.members().end(); ++sh)
+ {
+ if(has_children(sh)) { rec_delete(sh->second.children()); }
+ }
+}
+/** @} */ // end constructor/destructor
+private:
+/** Recursive deletion. */
+void rec_delete(Siblings * sib)
+{
+ for(auto sh = sib->members().begin(); sh != sib->members().end(); ++sh)
+ { if(has_children(sh)) { rec_delete(sh->second.children()); } }
+ delete sib;
+}
+
+
+public:
+/** \brief Returns the key associated to a simplex.
+ *
+ * The filtration must be initialized. */
+Simplex_key key ( Simplex_handle sh ) { return sh->second.key(); }
+/** \brief Returns the simplex associated to a key.
+ *
+ * The filtration must be initialized. */
+Simplex_handle simplex ( Simplex_key key ) { return filtration_vect_[key]; }
+/** \brief Returns the filtration value of a simplex.
+ *
+ * Called on the null_simplex, returns INFINITY. */
+Filtration_value filtration(Simplex_handle sh)
+{
+ if(sh != null_simplex()) { return sh->second.filtration(); }
+ else { return INFINITY; }//filtration(); }
+}
+/** \brief Returns an upper bound of the filtration values of the simplices. */
+Filtration_value filtration()
+{ return threshold_; }
+/** \brief Returns a Simplex_handle different from all Simplex_handles
+ * associated to the simplices in the simplicial complex.
+ *
+ * One can call filtration(null_simplex()). */
+Simplex_handle null_simplex() { return Dictionary_it(NULL); }
+/** \brief Returns a key different for all keys associated to the
+ * simplices of the simplicial complex. */
+Simplex_key null_key() { return -1; }
+/** \brief Returns a Vertex_handle different from all Vertex_handles associated
+ * to the vertices of the simplicial complex. */
+Vertex_handle null_vertex() { return null_vertex_; }
+/** \brief Returns the number of vertices in the complex. */
+size_t num_vertices() { return root_.members_.size(); }
+/** \brief Returns the number of simplices in the complex.
+ *
+ * Does not count the empty simplex. */
+size_t num_simplices() { return num_simplices_; }
+
+/** \brief Returns the dimension of a simplex.
+ *
+ * Must be different from null_simplex().*/
+int dimension(Simplex_handle sh)
+{ Siblings * curr_sib = self_siblings(sh);
+ int dim = 0;
+ while(curr_sib != NULL) { ++dim; curr_sib = curr_sib->oncles(); }
+ return dim-1;
+}
+/** \brief Returns an upper bound on the dimension of the simplicial complex. */
+int dimension()
+{ return dimension_; }
+
+/** \brief Returns true iff the node in the simplex tree pointed by
+ * sh has children.*/
+bool has_children(Simplex_handle sh)
+{ return (sh->second.children()->parent() == sh->first); }
+
+/** \brief Given a range of Vertex_handles, returns the Simplex_handle
+ * of the simplex in the simplicial complex containing the corresponding
+ * vertices. Return null_simplex() if the simplex is not in the complex.
+ *
+ * The type RandomAccessVertexRange must be a range for which .begin() and
+ * .end() return random access iterators, with <CODE>value_type</CODE>
+ * <CODE>Vertex_handle</CODE>.
+ */
+template <class RandomAccessVertexRange >
+Simplex_handle find(RandomAccessVertexRange & s)
+{
+ if(s.begin() == s.end()) std::cerr << "Empty simplex \n";
+
+ sort(s.begin(),s.end());
+
+ Siblings * tmp_sib = &root_;
+ Dictionary_it tmp_dit;
+ Vertex_handle last = s[s.size()-1];
+ for(auto v : s) {
+ tmp_dit = tmp_sib->members_.find(v);
+ if(tmp_dit == tmp_sib->members_.end()) { return null_simplex(); }
+ if( !has_children(tmp_dit) && v != last) { return null_simplex(); }
+ tmp_sib = tmp_dit->second.children();
+ }
+ return tmp_dit;
+}
+
+/** \brief Returns the Simplex_handle corresponding to the 0-simplex
+ * representing the vertex with Vertex_handle v. */
+Simplex_handle find_vertex(Vertex_handle v)
+{ return root_.members_.begin()+v; }
+//{ return root_.members_.find(v); }
+
+
+/** \brief Insert a simplex, represented by a range of Vertex_handles, in the simplicial complex.
+ *
+ * @param[in] simplex range of Vertex_handles, representing the vertices of the new simplex
+ * @param[in] filtration the filtration value assigned to the new simplex.
+ * The return type is a pair. If the new simplex is inserted successfully (i.e. it was not in the
+ * simplicial complex yet) the bool is set to true and the Simplex_handle is the handle assigned
+ * to the new simplex.
+ * If the insertion fails (the simplex is already there), the bool is set to false. If the insertion
+ * fails and the simplex already in the complex has a filtration value strictly bigger than 'filtration',
+ * we assign this simplex with the new value 'filtration', and set the Simplex_handle filed of the
+ * output pair to the Simplex_handle of the simplex. Otherwise, we set the Simplex_handle part to
+ * null_simplex.
+ *
+ * All subsimplices do not necessary need to be already in the simplex tree to proceed to an
+ * insertion. However, the property of being a simplicial complex will be violated. This allows
+ * us to insert a stream of simplices contained in a simplicial complex without considering any
+ * order on them.
+ *
+ * The filtration value
+ * assigned to the new simplex must preserve the monotonicity of the filtration.
+ *
+ * The type RandomAccessVertexRange must be a range for which .begin() and
+ * .end() return random access iterators, with 'value_type' Vertex_handle. */
+template <class RandomAccessVertexRange >
+std::pair< Simplex_handle, bool >
+insert ( RandomAccessVertexRange & simplex
+ , Filtration_value filtration )
+{
+ if(simplex.empty()) { return std::pair< Simplex_handle, bool >(null_simplex(),true); }
+
+ sort(simplex.begin(),simplex.end()); //must be sorted in increasing order
+
+ Siblings * curr_sib = &root_;
+ std::pair< Simplex_handle, bool > res_insert;
+ typename RandomAccessVertexRange::iterator vi;
+ for( vi = simplex.begin(); vi != simplex.end()-1; ++vi )
+ {
+ res_insert = curr_sib->members_.emplace(*vi, Node(curr_sib,filtration));
+ if(!(has_children(res_insert.first)))
+ { res_insert.first->second.assign_children( new Siblings(curr_sib, *vi)); }
+ curr_sib = res_insert.first->second.children();
+ }
+ res_insert = curr_sib->members_.emplace(*vi, Node(curr_sib,filtration));
+ if(!res_insert.second) //if already in the complex
+ {
+ if(res_insert.first->second.filtration() > filtration) //if filtration value modified
+ {
+ res_insert.first->second.assign_filtration(filtration);
+ return res_insert;
+ }
+ return std::pair< Simplex_handle, bool > (null_simplex(),false);// if filtration value unchanged
+ }
+ //otherwise the insertion has succeeded
+ return res_insert;
+}
+
+/** \brief Assign a value 'key' to the key of the simplex
+ * represented by the Simplex_handle 'sh'. */
+void assign_key(Simplex_handle sh, Simplex_key key)
+{ sh->second.assign_key(key);}
+
+public:
+/** Returns the two Simplex_handle corresponding to the endpoints of
+ * and edge. sh must point to a 1-dimensional simplex. This is an
+ * optimized version of the boundary computation. */
+std::pair<Simplex_handle,Simplex_handle> endpoints(Simplex_handle sh)
+{ return std::pair<Simplex_handle,Simplex_handle>(root_.members_.find(sh->first)
+ , root_.members_.find(self_siblings(sh)->parent()) ); }
+
+/** Returns the Siblings containing a simplex.*/
+Siblings * self_siblings(Simplex_handle sh)
+{ if(sh->second.children()->parent() == sh->first) return sh->second.children()->oncles();
+ else return sh->second.children(); }
+
+// void display_simplex(Simplex_handle sh)
+// {
+// std::cout << " " << "[" << filtration(sh) << "] ";
+// for( auto vertex : simplex_vertex_range(sh) )
+// { std::cout << vertex << " "; }
+// }
+
+ // void print(Simplex_handle sh, std::ostream& os = std::cout)
+ // { for(auto v : simplex_vertex_range(sh)) {os << v << " ";}
+ // os << std::endl; }
+
+public:
+/** Returns a pointer to the root nodes of the simplex tree. */
+Siblings * root() { return &root_; }
+
+
+
+
+public:
+/** Set an upper bound for the filtration values. */
+void set_filtration(Filtration_value fil)
+{ threshold_ = fil; }
+/** Set a number of simplices for the simplicial complex. */
+void set_num_simplices(size_t num_simplices)
+{ num_simplices_ = num_simplices; }
+/** Set a dimension for the simplicial complex. */
+void set_dimension(int dimension)
+{ dimension_ = dimension; }
+
+public:
+/** \brief Initializes the filtrations, i.e. sort the
+ * simplices according to their order in the filtration and initializes all Simplex_keys.
+ *
+ * After calling this method, filtration_simplex_range() becomes valid, and each simplex is
+ * assigned a Simplex_key corresponding to its order in the filtration (from 0 to m-1 for a
+ * simplicial complex with m simplices).
+ *
+ * The use of a depth-first traversal of the simplex tree, provided by
+ * complex_simplex_range(), combined with
+ * a stable sort is meant to optimize the order of simplices with same
+ * filtration value. The heuristic consists in inserting the cofaces of a
+ * simplex as soon as possible.
+ *
+ * Will be automatically called when calling filtration_simplex_range()
+ * if the filtration has never been initialized yet. */
+void initialize_filtration()
+{
+ filtration_vect_.clear();
+ filtration_vect_.reserve(num_simplices());
+ for(auto cpx_it = complex_simplex_range().begin();
+ cpx_it != complex_simplex_range().end(); ++cpx_it) { filtration_vect_.push_back(*cpx_it); }
+
+//the stable sort ensures the ordering heuristic
+ std::stable_sort(filtration_vect_.begin(),filtration_vect_.end(),is_before_in_filtration(this));
+}
+
+private:
+/** \brief Returns true iff the list of vertices of sh1
+ * is smaller than the list of vertices of sh2 w.r.t.
+ * lexicographic order on the lists read in reverse.
+ *
+ * It defines a StrictWeakOrdering on simplices. The Simplex_vertex_iterators
+ * must traverse the Vertex_handle in decreasing order. Reverse lexicographic order satisfy
+ * the property that a subsimplex of a simplex is always strictly smaller with this order. */
+bool reverse_lexicographic_order(Simplex_handle sh1, Simplex_handle sh2)
+{
+ Simplex_vertex_range rg1 = simplex_vertex_range(sh1);
+ Simplex_vertex_range rg2 = simplex_vertex_range(sh2);
+ Simplex_vertex_iterator it1 = rg1.begin();
+ Simplex_vertex_iterator it2 = rg2.begin();
+ while(it1 != rg1.end() && it2 != rg2.end())
+ {
+ if(*it1 == *it2) {++it1; ++it2;}
+ else { return *it1 < *it2; }
+ }
+ return ( (it1 == rg1.end()) && (it2 != rg2.end()) );
+}
+/** \brief StrictWeakOrdering, for the simplices, defined by the filtration.
+ *
+ * It corresponds to the partial order
+ * induced by the filtration values, with ties resolved using reverse lexicographic order.
+ * Reverse lexicographic order has the property to always consider the subsimplex of a simplex
+ * to be smaller. The filtration function must be monotonic. */
+struct is_before_in_filtration {
+ is_before_in_filtration(Simplex_tree * st) : st_(st) {}
+
+ bool operator()( const Simplex_handle sh1,
+ const Simplex_handle sh2 ) const
+ {
+ if(st_->filtration(sh1) != st_->filtration(sh2))
+ { return st_->filtration(sh1) < st_->filtration(sh2); }
+
+ return st_->reverse_lexicographic_order(sh1,sh2); //is sh1 a proper subface of sh2
+ }
+
+ Simplex_tree * st_;
+};
+
+public:
+/** \brief Inserts a 1-skeleton in an empty Simplex_tree.
+ *
+ * The Simplex_tree must contain no simplex when the method is
+ * called.
+ *
+ * Inserts all vertices and edges given by a OneSkeletonGraph.
+ * OneSkeletonGraph must be a model of boost::AdjacencyGraph,
+ * boost::EdgeListGraph and boost::PropertyGraph.
+ *
+ * The vertex filtration value is accessible through the property tag
+ * vertex_filtration_t.
+ * The edge filtration value is accessible through the property tag
+ * edge_filtration_t.
+ *
+ * boost::graph_traits<OneSkeletonGraph>::vertex_descriptor
+ * must be Vertex_handle.
+ * boost::graph_traits<OneSkeletonGraph>::directed_category
+ * must be undirected_tag. */
+ template< class OneSkeletonGraph >
+ void insert_graph( OneSkeletonGraph & skel_graph )
+ {
+ assert(num_simplices() == 0); //the simplex tree must be empty
+
+ if(boost::num_vertices(skel_graph) == 0) { return; }
+ if(num_edges(skel_graph) == 0) { dimension_ = 0; }
+ else { dimension_ = 1; }
+
+ num_simplices_ = boost::num_vertices(skel_graph) + boost::num_edges(skel_graph);
+ root_.members_.reserve(boost::num_vertices(skel_graph));
+
+ typename boost::graph_traits<OneSkeletonGraph>::vertex_iterator v_it, v_it_end;
+ for(tie(v_it,v_it_end) = boost::vertices(skel_graph);
+ v_it != v_it_end; ++v_it)
+ {
+ root_.members_.emplace_hint( root_.members_.end()
+ , *v_it
+ , Node(&root_
+ ,boost::get( vertex_filtration_t()
+ , skel_graph
+ , *v_it) ) );
+ }
+ typename boost::graph_traits<OneSkeletonGraph>::edge_iterator e_it, e_it_end;
+ for(tie(e_it,e_it_end) = boost::edges(skel_graph);
+ e_it != e_it_end; ++e_it)
+ {
+ auto u = source( *e_it, skel_graph ); auto v = target( *e_it, skel_graph );
+ if( u < v ) // count edges only once { std::swap(u,v); } // u < v
+ {
+ auto sh = find_vertex(u);
+ if(! has_children(sh) ) { sh->second.assign_children(new Siblings(&root_,sh->first)); }
+
+ sh->second.children()->members().emplace ( v
+ , Node( sh->second.children()
+ , boost::get( edge_filtration_t()
+ , skel_graph
+ , *e_it) ));
+ }
+ }
+}
+/** \brief Expands the Simplex_tree containing only its one skeleton
+ * until dimension max_dim.
+ *
+ * The expanded simplicial complex until dimension \f$d\f$
+ * attached to a graph \f$G\f$ is the maximal simplicial complex of
+ * dimension at most \f$d\f$ admitting the graph \f$G\f$ as \f$1\f$-skeleton.
+ * The filtration value assigned to a simplex is the maximal filtration
+ * value of one of its edges.
+ *
+ * The Simplex_tree must contain no simplex of dimension bigger than
+ * 1 when calling the method. */
+void expansion(int max_dim)
+{
+ dimension_ = max_dim;
+ for(Dictionary_it root_it = root_.members_.begin();
+ root_it != root_.members_.end(); ++root_it)
+ {
+ if(has_children(root_it))
+ { siblings_expansion(root_it->second.children(), max_dim-1); }
+ }
+ dimension_ = max_dim - dimension_;
+}
+private:
+/** \brief Recursive expansion of the simplex tree.*/
+void siblings_expansion ( Siblings * siblings, //must contain elements
+ int k)
+{
+ if(dimension_ > k) { dimension_ = k; }
+ if(k == 0) return;
+ Dictionary_it next = siblings->members().begin(); ++next;
+
+ static std::vector< std::pair<Vertex_handle , Node> > inter; // static, not thread-safe.
+ for(Dictionary_it s_h = siblings->members().begin();
+ s_h != siblings->members().end(); ++s_h,++next)
+ {
+ Simplex_handle root_sh = find_vertex(s_h->first);
+ if(has_children(root_sh))
+ {
+ intersection(inter, //output intersection
+ next, //begin
+ siblings->members().end(),//end
+ root_sh->second.children()->members().begin(),
+ root_sh->second.children()->members().end(),
+ s_h->second.filtration());
+ if(inter.size() != 0)
+ { this->num_simplices_ += inter.size();
+ Siblings * new_sib = new Siblings(siblings, //oncles
+ s_h->first, //parent
+ inter); //boost::container::ordered_unique_range_t
+ inter.clear();
+ s_h->second.assign_children(new_sib);
+ siblings_expansion(new_sib,k-1);
+ }
+ else { s_h->second.assign_children(siblings); //ensure the children property
+ inter.clear();}
+ }
+ }
+}
+/** \brief Intersects Dictionary 1 [begin1;end1) with Dictionary 2 [begin2,end2)
+ * and assigns the maximal possible Filtration_value to the Nodes. */
+void intersection ( std::vector< std::pair< Vertex_handle, Node > > & intersection
+ , Dictionary_it begin1
+ , Dictionary_it end1
+ , Dictionary_it begin2
+ , Dictionary_it end2
+ , Filtration_value filtration )
+{
+ if(begin1 == end1 || begin2 == end2) return;// 0;
+ while( true )
+ {
+ if( begin1->first == begin2->first )
+ {
+ intersection.push_back(std::pair< Vertex_handle, Node >( begin1->first,
+ Node( NULL
+ , maximum( begin1->second.filtration()
+ , begin2->second.filtration()
+ , filtration )
+ )
+ )
+ );
+ ++begin1; ++begin2;
+ if( begin1 == end1 || begin2 == end2 ) return;
+ }
+ else
+ {
+ if( begin1->first < begin2->first )
+ { ++begin1; if(begin1 == end1) return; }
+ else { ++begin2; if(begin2 == end2) return;}
+ }
+ }
+}
+/** Maximum over 3 values.*/
+Filtration_value maximum( Filtration_value a,
+ Filtration_value b,
+ Filtration_value c )
+{ Filtration_value max = ( a < b ) ? b : a;
+ return ( ( max < c ) ? c : max ); }
+
+public:
+/** \brief Write the hasse diagram of the simplicial complex in os.
+ *
+ * Each row in the file correspond to a simplex. A line is written:
+ * dim idx_1 ... idx_k fil where dim is the dimension of the simplex,
+ * idx_1 ... idx_k are the row index (starting from 0) of the simplices of the boundary
+ * of the simplex, and fil is its filtration value. */
+void print_hasse(std::ostream & os)
+{
+ os << num_simplices() << " " << std::endl;
+ for(auto sh : filtration_simplex_range(Indexing_tag()))
+ {
+ os << dimension(sh) << " ";
+ for(auto b_sh : boundary_simplex_range(sh)) { os << key(b_sh) << " "; }
+ os << filtration(sh) << " \n";
+ }
+}
+
+private:
+ Vertex_handle null_vertex_;
+/** \brief Upper bound on the filtration values of the simplices.*/
+ Filtration_value threshold_ ;
+/** \brief Total number of simplices in the complex, without the empty simplex.*/
+ size_t num_simplices_ ;
+/** \brief Set of simplex tree Nodes representing the vertices.*/
+ Siblings root_ ;
+/** \brief Simplices ordered according to a filtration.*/
+ std::vector< Simplex_handle > filtration_vect_ ;
+/** \brief Upper bound on the dimension of the simplicial complex.*/
+ int dimension_ ;
+};
+
+// Print a Simplex_tree in os.
+template< typename T1, typename T2, typename T3 >
+std::ostream& operator<< ( std::ostream & os
+ , Simplex_tree< T1, T2, T3 > & st )
+{
+ for(auto sh : st.filtration_simplex_range())
+ {
+ os << st.dimension(sh) << " ";
+ for(auto v : st.simplex_vertex_range(sh))
+ { os << v << " ";}
+ os << st.filtration(sh) << "\n";// TODO: VR - why adding the key ?? not read ?? << " " << st.key(sh) << " \n";
+ }
+ return os;
+}
+template< typename T1, typename T2, typename T3 >
+std::istream& operator>> ( std::istream & is
+ , Simplex_tree< T1, T2, T3 > & st )
+{
+ //assert(st.num_simplices() == 0);
+
+ std::vector< typename Simplex_tree<T1,T2,T3>::Vertex_handle > simplex;
+ typename Simplex_tree<T1,T2,T3>::Filtration_value fil;
+ typename Simplex_tree<T1,T2,T3>::Filtration_value max_fil = 0;
+ int max_dim = -1;
+ size_t num_simplices = 0;
+ while(read_simplex( is, simplex, fil )) //read all simplices in the file as a list of vertices
+ {
+ ++num_simplices;
+ int dim = (int)simplex.size() - 1; // Warning : simplex_size needs to be casted in int - Can be 0
+ if(max_dim < dim) { max_dim = dim;}
+ if(max_fil < fil) { max_fil = fil;}
+ st.insert(simplex,fil); //insert every simplex in the simplex tree
+ simplex.clear();
+ }
+ st.set_num_simplices(num_simplices);
+ st.set_dimension(max_dim);
+ st.set_filtration(max_fil);
+
+ return is;
+}
+
+/** @} */ //end defgroup simplex_tree
+
+} // namespace GUDHI
+
+#endif // GUDHI_FLAG_SIMPLEX_TREE_H
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h
new file mode 100644
index 00000000..6441a80a
--- /dev/null
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h
@@ -0,0 +1,287 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 SIMPLEX_TREE_ITERATORS_H
+#define SIMPLEX_TREE_ITERATORS_H
+
+#include "boost/iterator/iterator_facade.hpp"
+
+namespace Gudhi{
+
+/* \addtogroup simplex_tree
+ * Iterators and range types for the Simplex_tree.
+ * @{
+ */
+
+/* \brief Iterator over the vertices of a simplex
+ * in a SimplexTree.
+ *
+ * Forward iterator, 'value_type' is SimplexTree::Vertex_handle.*/
+template < class SimplexTree >
+class Simplex_tree_simplex_vertex_iterator
+: public boost::iterator_facade < Simplex_tree_simplex_vertex_iterator < SimplexTree >
+ , typename SimplexTree::Vertex_handle const
+ , boost::forward_traversal_tag
+ , typename SimplexTree::Vertex_handle const
+ >
+{
+public:
+ typedef typename SimplexTree::Simplex_handle Simplex_handle;
+ typedef typename SimplexTree::Siblings Siblings;
+ typedef typename SimplexTree::Vertex_handle Vertex_handle;
+
+ Simplex_tree_simplex_vertex_iterator (SimplexTree * st) : //any end() iterator
+ sib_(NULL), v_(st->null_vertex()) {}
+
+ Simplex_tree_simplex_vertex_iterator( SimplexTree * st,
+ Simplex_handle sh) :
+ sib_(st->self_siblings(sh)),
+ v_(sh->first) {}
+
+private:
+ friend class boost::iterator_core_access;
+
+ bool equal (Simplex_tree_simplex_vertex_iterator const &other) const
+ { return sib_ == other.sib_ && v_ == other.v_; }
+
+ Vertex_handle const& dereference() const { return v_; }
+
+ void increment () { v_ = sib_->parent(); sib_ = sib_->oncles();}
+
+ Siblings * sib_;
+ Vertex_handle v_;
+};
+
+/*---------------------------------------------------------------------------*/
+/* \brief Iterator over the simplices of the boundary of a
+ * simplex.
+ *
+ * Forward iterator, value_type is SimplexTree::Simplex_handle.*/
+template < class SimplexTree >
+class Simplex_tree_boundary_simplex_iterator
+: public boost::iterator_facade < Simplex_tree_boundary_simplex_iterator< SimplexTree >
+ , typename SimplexTree::Simplex_handle const
+ , boost::forward_traversal_tag
+ >
+{
+public:
+ typedef typename SimplexTree::Simplex_handle Simplex_handle;
+ typedef typename SimplexTree::Vertex_handle Vertex_handle;
+ typedef typename SimplexTree::Siblings Siblings;
+
+// any end() iterator
+ Simplex_tree_boundary_simplex_iterator(SimplexTree * st) :
+ last_(st->null_vertex()), sib_(NULL) {}
+
+ Simplex_tree_boundary_simplex_iterator ( SimplexTree * st,
+ Simplex_handle sh ) :
+ suffix_(), st_(st)
+ {
+ last_ = sh->first;
+ Siblings * sib = st->self_siblings(sh);
+ next_ = sib->parent();
+ sib_ = sib->oncles(); /* \todo check if NULL*/
+ if(sib_ != NULL) { sh_ = sib_->find(next_); }
+ else { last_ = st->null_vertex(); } // vertex: == end()
+ }
+
+private:
+ friend class boost::iterator_core_access;
+// valid when iterating along the SAME boundary.
+ bool equal (Simplex_tree_boundary_simplex_iterator const& other) const
+ { return (sib_ == other.sib_ && last_ == other.last_);}
+
+ Simplex_handle const& dereference () const { return sh_; }
+
+ void increment()
+ {
+ if(sib_ == NULL) { last_ = st_->null_vertex(); return; }
+
+ Siblings * for_sib = sib_;
+ for(typename std::vector< Vertex_handle >::reverse_iterator rit = suffix_.rbegin();
+ rit != suffix_.rend(); ++rit)
+ {
+ sh_ = for_sib->find(*rit);
+ for_sib = sh_->second.children();
+ }
+ sh_ = for_sib->find(last_); //sh_ points to the right simplex now
+ suffix_.push_back(next_);
+ next_ = sib_->parent();
+ sib_ = sib_->oncles();
+ }
+
+ Vertex_handle last_ ; //last vertex of the simplex
+ Vertex_handle next_ ; //next vertex to push in suffix_
+ std::vector< Vertex_handle > suffix_ ;
+ Siblings * sib_ ; //where the next search will start from
+ Simplex_handle sh_ ; //current Simplex_handle in the boundary
+ SimplexTree * st_ ; //simplex containing the simplicial complex
+};
+/*---------------------------------------------------------------------------*/
+/* \brief Iterator over the simplices of a simplicial complex.
+ *
+ * Forward iterator, value_type is SimplexTree::Simplex_handle.*/
+template < class SimplexTree >
+class Simplex_tree_complex_simplex_iterator
+: public boost::iterator_facade < Simplex_tree_complex_simplex_iterator< SimplexTree >
+ , typename SimplexTree::Simplex_handle const
+ , boost::forward_traversal_tag
+ >
+{
+public:
+ typedef typename SimplexTree::Simplex_handle Simplex_handle;
+ typedef typename SimplexTree::Siblings Siblings;
+ typedef typename SimplexTree::Vertex_handle Vertex_handle;
+
+//any end() iterator
+ Simplex_tree_complex_simplex_iterator() : st_(NULL) {}
+
+ Simplex_tree_complex_simplex_iterator(SimplexTree * st) :
+ st_(st)
+ {
+ if(st == NULL || st->root() == NULL || st->root()->members().empty()) { st_ = NULL; }
+ else
+ {
+ sh_ = st->root()->members().begin();
+ sib_ = st->root();
+ while(st->has_children(sh_))
+ { sib_ = sh_->second.children();
+ sh_ = sib_->members().begin(); }
+ }
+ }
+private:
+ friend class boost::iterator_core_access;
+
+// valid when iterating along the SAME boundary.
+ bool equal (Simplex_tree_complex_simplex_iterator const& other) const
+ {
+ if(other.st_ == NULL) { return (st_ == NULL); }
+ if(st_ == NULL) { return false; }
+ return (&(sh_->second) == &(other.sh_->second));
+ }
+
+ Simplex_handle const& dereference () const { return sh_; }
+
+// Depth first traversal.
+ void increment ()
+ {
+ ++sh_;
+ if(sh_ == sib_->members().end())
+ {
+ if(sib_->oncles() == NULL) { st_ = NULL; return; } //reach the end
+ sh_ = sib_->oncles()->members().find(sib_->parent());
+ sib_ = sib_->oncles();
+ return;
+ }
+ while(st_->has_children(sh_))
+ {
+ sib_ = sh_->second.children();
+ sh_ = sib_->members().begin();
+ }
+ }
+
+ Simplex_handle sh_;
+ Siblings * sib_;
+ SimplexTree * st_;
+};
+
+/* \brief Iterator over the simplices of the skeleton of a given
+ * dimension of the simplicial complex.
+ *
+ * Forward iterator, value_type is SimplexTree::Simplex_handle.*/
+template < class SimplexTree >
+class Simplex_tree_skeleton_simplex_iterator
+: public boost::iterator_facade < Simplex_tree_skeleton_simplex_iterator< SimplexTree >
+ , typename SimplexTree::Simplex_handle const
+ , boost::forward_traversal_tag
+ >
+{
+public:
+ typedef typename SimplexTree::Simplex_handle Simplex_handle;
+ typedef typename SimplexTree::Siblings Siblings;
+ typedef typename SimplexTree::Vertex_handle Vertex_handle;
+
+//any end() iterator
+ Simplex_tree_skeleton_simplex_iterator() : st_(NULL) {}
+
+ Simplex_tree_skeleton_simplex_iterator( SimplexTree * st
+ , int dim_skel )
+ : st_(st)
+ , dim_skel_(dim_skel)
+ , curr_dim_(0)
+ {
+ if(st == NULL || st->root() == NULL || st->root()->members().empty()) { st_ = NULL; }
+ else
+ {
+ sh_ = st->root()->members().begin();
+ sib_ = st->root();
+ while(st->has_children(sh_) && curr_dim_ < dim_skel_)
+ { sib_ = sh_->second.children();
+ sh_ = sib_->members().begin();
+ ++curr_dim_; }
+ }
+ }
+private:
+ friend class boost::iterator_core_access;
+
+// valid when iterating along the SAME boundary.
+ bool equal (Simplex_tree_skeleton_simplex_iterator const& other) const
+ {
+ if(other.st_ == NULL) { return (st_ == NULL); }
+ if(st_ == NULL) { return false; }
+ return (&(sh_->second) == &(other.sh_->second));
+ }
+
+ Simplex_handle const& dereference () const { return sh_; }
+
+// Depth first traversal of the skeleton.
+ void increment ()
+ {
+ ++sh_;
+ if(sh_ == sib_->members().end())
+ {
+ if(sib_->oncles() == NULL) { st_ = NULL; return; } //reach the end
+ sh_ = sib_->oncles()->members().find(sib_->parent());
+ sib_ = sib_->oncles();
+ --curr_dim_;
+ return;
+ }
+ while(st_->has_children(sh_) && curr_dim_ < dim_skel_)
+ {
+ sib_ = sh_->second.children();
+ sh_ = sib_->members().begin();
+ ++curr_dim_;
+ }
+ }
+
+ Simplex_handle sh_;
+ Siblings * sib_;
+ SimplexTree * st_;
+ int dim_skel_;
+ int curr_dim_;
+};
+
+/* @} */ //end addtogroup simplex_tree
+
+} // namespace GUDHI
+
+#endif // SIMPLEX_TREE_ITERATORS_H
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h
new file mode 100644
index 00000000..91f4ef75
--- /dev/null
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h
@@ -0,0 +1,104 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_SIMPLEX_TREE_NODE_EXPLICIT_STORAGE_H
+#define GUDHI_SIMPLEX_TREE_NODE_EXPLICIT_STORAGE_H
+
+#include <vector>
+#include <iostream>
+
+namespace Gudhi{
+
+/* \addtogroup simplex_tree
+ * Represents a node of a Simplex_tree.
+ * @{
+ */
+
+/*
+ * \brief Node of a simplex tree with filtration value
+ * and simplex key.
+ *
+ * It stores explicitely its own filtration value and its own Simplex_key.
+ */
+template < class SimplexTree >
+class Simplex_tree_node_explicit_storage {
+ public:
+// friend SimplexTree;
+
+ typedef typename SimplexTree::Siblings Siblings;
+ typedef typename SimplexTree::Filtration_value Filtration_value;
+ typedef typename SimplexTree::Simplex_key Simplex_key;
+
+ //private:
+ //friend class Simplex_tree;
+ // Default constructor.
+ Simplex_tree_node_explicit_storage() :
+ children_(NULL),
+ simplex_key_(-1),
+ filtration_(0) {}
+
+ Simplex_tree_node_explicit_storage(Siblings * sib,
+ Filtration_value filtration) :
+ children_(sib),
+ simplex_key_(-1),
+ filtration_(filtration) {}
+
+
+ void assign_key(Simplex_key key) { simplex_key_ = key; }
+
+ /*
+ * Return true if the node has children,
+ * false otherwise.
+ */
+ //bool has_children(Vertex label)
+ //{ //if(children_ == NULL) return false; //for root simplices
+ // return (children_->parent() == label);}
+ /*
+ * Assign a children to the node
+ */
+ void assign_children (Siblings * children) { children_ = children; }
+ /*
+ *
+ */
+ void assign_filtration(double filtration_value) { filtration_ = filtration_value; }
+
+ Filtration_value filtration() { return filtration_; }
+
+ /* Careful -> has_children() must be true*/
+ Siblings * children() { return children_; }
+
+ Simplex_key key() { return simplex_key_; }
+
+private:
+ Siblings * children_;
+
+ // Data attached to simplex, explicit storage
+ Simplex_key simplex_key_;
+ Filtration_value filtration_; //value in the filtration
+
+};
+
+/* @} */ //end addtogroup simplex_tree
+
+} // namespace GUDHI
+
+#endif // GUDHI_SIMPLEX_TREE_NODE_EXPLICIT_STORAGE_H
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h
new file mode 100644
index 00000000..6db0d80a
--- /dev/null
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h
@@ -0,0 +1,129 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_SIMPLEX_TREE_SIBLINGS
+#define GUDHI_SIMPLEX_TREE_SIBLINGS
+
+#include "boost/container/flat_map.hpp"
+#include "Simplex_tree_node_explicit_storage.h"
+
+namespace Gudhi{
+
+/* \addtogroup simplex_tree
+ * Represents a set of node of a Simplex_tree that share the same parent.
+ * @{
+ */
+
+/* \brief Data structure to store a set of nodes in a SimplexTree sharing
+ * the same parent node.*/
+template < class SimplexTree
+ , class MapContainer >
+class Simplex_tree_siblings {
+// private:
+// friend SimplexTree;
+public:
+ template < class T > friend class Simplex_tree_simplex_vertex_iterator ;
+ template < class T > friend class Simplex_tree_boundary_simplex_iterator;
+ template < class T > friend class Simplex_tree_complex_simplex_iterator ;
+ template < class T > friend class Simplex_tree_skeleton_simplex_iterator;
+
+ typedef typename SimplexTree::Vertex_handle Vertex_handle;
+ typedef typename SimplexTree::Filtration_value Filtration_value;
+ typedef typename SimplexTree::Node Node;
+ typedef MapContainer Dictionary;
+ typedef typename MapContainer::iterator Dictionary_it;
+
+ /* Default constructor.*/
+ Simplex_tree_siblings()
+ : oncles_(NULL)
+ , parent_(-1)
+ , members_() {}
+
+ /* Constructor with values.*/
+ Simplex_tree_siblings(Simplex_tree_siblings * oncles,
+ Vertex_handle parent )
+ : oncles_(oncles)
+ , parent_(parent)
+ , members_() {}
+
+ /* \brief Constructor with initialized set of members.
+ *
+ * 'members' must be sorted and unique.*/
+ Simplex_tree_siblings(Simplex_tree_siblings * oncles,
+ Vertex_handle parent,
+ std::vector< std::pair< Vertex_handle, Node > > & members)
+ : oncles_ ( oncles )
+ , parent_ ( parent )
+ , members_ ( boost::container::ordered_unique_range
+ , members.begin()
+ , members.end() )
+ {
+ for(auto map_it = members_.begin();
+ map_it != members_.end(); map_it++)
+ { map_it->second.assign_children(this); }
+ }
+
+ /*
+ * \brief Inserts a Node in the set of siblings nodes.
+ *
+ * If already present, assigns the minimal filtration value
+ * between input filtration_value and the value already
+ * present in the node.
+ */
+ void insert ( Vertex_handle v
+ , Filtration_value filtration_value )
+ {
+ typename Dictionary::iterator sh = members_.find(v);
+ if(sh != members_.end() && sh->second.filtration() > filtration_value)
+ { sh->second.assign_filtration(filtration_value);
+ return; }
+ if(sh == members_.end())
+ { members_.insert(std::pair< Vertex_handle, Node >( v, Node(this,filtration_value) ));
+ return; }
+ }
+
+ typename Dictionary::iterator find( Vertex_handle v )
+ { return members_.find(v); }
+
+ Simplex_tree_siblings * oncles()
+ { return oncles_; }
+
+ Vertex_handle parent()
+ { return parent_; }
+
+ Dictionary & members()
+ { return members_; }
+
+ size_t size() { return members_.size(); }
+
+
+ Simplex_tree_siblings * oncles_ ;
+ Vertex_handle parent_ ;
+ Dictionary members_ ;
+
+};
+
+/* @} */ //end addtogroup simplex_tree
+
+} // namespace GUDHI
+
+#endif // GUDHI_SIMPLEX_TREE_SIBLINGS
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h b/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h
new file mode 100644
index 00000000..165d166d
--- /dev/null
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h
@@ -0,0 +1,34 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+namespace Gudhi{
+
+/** \brief Tag for a linear ordering of simplices.
+ *
+ * \implements IndexingTag
+ */
+ struct linear_indexing_tag {};
+
+/* \brief Tag for a zigzag ordering of simplices. */
+// struct zigzag_indexing_tag {};
+
+} // namespace GUDHI
diff --git a/src/Simplex_tree/test/CMakeLists.txt b/src/Simplex_tree/test/CMakeLists.txt
new file mode 100644
index 00000000..a15ac04e
--- /dev/null
+++ b/src/Simplex_tree/test/CMakeLists.txt
@@ -0,0 +1,11 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHITestSimplexTree)
+
+# NEED TO FIND BOOST NEEDED COMPONENTS TO LINK WITH
+find_package(Boost 1.45.0 COMPONENTS system unit_test_framework)
+message("Boost_lib = ${Boost_LIBRARIES}")
+
+include_directories(${Boost_INCLUDE_DIRS})
+add_executable ( TestSimplexTree UnitTestSimplexTree.cpp )
+target_link_libraries(TestSimplexTree ${Boost_LIBRARIES})
+
diff --git a/src/Simplex_tree/test/README b/src/Simplex_tree/test/README
new file mode 100644
index 00000000..3d6981ff
--- /dev/null
+++ b/src/Simplex_tree/test/README
@@ -0,0 +1,12 @@
+To compile:
+***********
+
+cmake .
+make
+
+To launch with details:
+***********************
+
+./TestSimplexTree --report_level=detailed --log_level=all
+
+ ==> echo $? returns 0 in case of success (non-zero otherwise)
diff --git a/src/Simplex_tree/test/UnitTestSimplexTree.cpp b/src/Simplex_tree/test/UnitTestSimplexTree.cpp
new file mode 100644
index 00000000..a3671f56
--- /dev/null
+++ b/src/Simplex_tree/test/UnitTestSimplexTree.cpp
@@ -0,0 +1,400 @@
+#define BOOST_TEST_MODULE const_string test
+#include <boost/test/included/unit_test.hpp>
+#include <boost/system/error_code.hpp>
+#include <boost/chrono/thread_clock.hpp>
+#include <iostream>
+#include <string>
+
+#include <utility> // std::pair, std::make_pair
+
+#include <cmath> // float comparison
+#include <limits>
+
+#include "gudhi/graph_simplicial_complex.h"
+#include "gudhi/reader_utils.h"
+#include "gudhi/Simplex_tree.h"
+
+
+using namespace Gudhi;
+
+typedef Simplex_tree<> typeST;
+typedef std::pair< typeST::Simplex_handle, bool > typePairSimplexBool;
+typedef std::vector< Vertex_handle > typeVectorVertex;
+typedef std::pair<typeVectorVertex, Filtration_value> typeSimplex;
+
+const Vertex_handle DEFAULT_VERTEX_HANDLE = (const Vertex_handle)-1;
+
+void test_empty_simplex_tree(typeST& tst)
+{
+ BOOST_CHECK( tst.null_vertex() == DEFAULT_VERTEX_HANDLE );
+ BOOST_CHECK( tst.filtration() == Filtration_value(0) );
+ BOOST_CHECK( tst.num_vertices() == (size_t)0 );
+ BOOST_CHECK( tst.num_simplices() == (size_t)0 );
+ typeST::Siblings* STRoot = tst.root();
+ BOOST_CHECK( STRoot != NULL );
+ BOOST_CHECK( STRoot->oncles() == NULL );
+ BOOST_CHECK( STRoot->parent() == DEFAULT_VERTEX_HANDLE );
+ BOOST_CHECK( tst.dimension() == -1 );
+}
+
+void test_iterators_on_empty_simplex_tree(typeST& tst)
+{
+ std::cout << "Iterator on vertices: " << std::endl;
+ for( auto vertex : tst.complex_vertex_range() )
+ {
+ std::cout << "vertice:" << vertex << std::endl;
+ BOOST_CHECK( false); // shall be empty
+ }
+ std::cout << "Iterator on simplices: " << std::endl;
+ for( auto simplex : tst.complex_simplex_range() )
+ {
+ BOOST_CHECK( false); // shall be empty
+ }
+
+ std::cout << "Iterator on Simplices in the filtration, with [filtration value]:" << std::endl;
+ for( auto f_simplex : tst.filtration_simplex_range() )
+ {
+ BOOST_CHECK( false); // shall be empty
+ std::cout << "test_simplex_tree_contains - filtration=" << tst.filtration(f_simplex) << std::endl;
+ }
+}
+
+BOOST_AUTO_TEST_CASE( simplex_tree_when_empty )
+{
+ const Filtration_value DEFAULT_FILTRATION_VALUE = 0;
+
+ // TEST OF DEFAULT CONSTRUCTOR
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF DEFAULT CONSTRUCTOR" << std::endl;
+ typeST st;
+
+ test_empty_simplex_tree(st);
+
+ test_iterators_on_empty_simplex_tree(st);
+ // TEST OF EMPTY INSERTION
+ std::cout << "TEST OF EMPTY INSERTION" << std::endl;
+ typeVectorVertex simplexVectorEmpty;
+ BOOST_CHECK(simplexVectorEmpty.empty() == true);
+ typePairSimplexBool returnEmptyValue = st.insert ( simplexVectorEmpty, DEFAULT_FILTRATION_VALUE );
+ BOOST_CHECK(returnEmptyValue.first == typeST::Simplex_handle(NULL));
+ BOOST_CHECK(returnEmptyValue.second == true);
+
+ test_empty_simplex_tree(st);
+
+ test_iterators_on_empty_simplex_tree(st);
+}
+
+bool AreAlmostTheSame(float a, float b)
+{
+ return std::fabs(a - b) < std::numeric_limits<float>::epsilon();
+}
+
+BOOST_AUTO_TEST_CASE( simplex_tree_from_file )
+{
+ // TEST OF INSERTION
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF SIMPLEX TREE FROM A FILE" << std::endl;
+ typeST st;
+
+ std::string inputFile("simplex_tree_for_unit_test.txt");
+ std::ifstream simplex_tree_stream(inputFile.c_str());
+ simplex_tree_stream >> st;
+
+ // Display the Simplex_tree
+ std::cout << "The complex contains " << st.num_simplices() << " simplices" << std::endl;
+ std::cout << " - dimension " << st.dimension() << " - filtration " << st.filtration() << std::endl;
+
+ // Check
+ BOOST_CHECK(st.num_simplices() == 143353);
+ BOOST_CHECK(st.dimension() == 3);
+ BOOST_CHECK(st.filtration() == 0.4);
+
+ int previous_size=0;
+ for( auto f_simplex : st.filtration_simplex_range() )
+ {
+ // Size of simplex
+ int size=0;
+ for( auto vertex : st.simplex_vertex_range(f_simplex) )
+ {
+ size++;
+ }
+ BOOST_CHECK(AreAlmostTheSame(st.filtration(f_simplex),(0.1* size))); // Specific test: filtration = 0.1 * simplex_size
+ BOOST_CHECK(previous_size <= size); // Check list is sorted (because of sorted filtrations in simplex_tree.txt)
+ previous_size = size;
+ }
+ simplex_tree_stream.close();
+}
+
+void test_simplex_tree_contains(typeST& simplexTree, typeSimplex simplex, int pos)
+{
+ auto f_simplex = simplexTree.filtration_simplex_range().begin();
+ f_simplex += pos;
+ std::cout << "test_simplex_tree_contains - filtration=" << simplexTree.filtration(*f_simplex) << "||" << simplex.second << std::endl;
+ BOOST_CHECK( AreAlmostTheSame(simplexTree.filtration(*f_simplex),simplex.second) );
+
+ typeVectorVertex::iterator simplexIter = simplex.first.end()-1;
+ for( auto vertex : simplexTree.simplex_vertex_range(*f_simplex) )
+ {
+ std::cout << "test_simplex_tree_contains - vertex=" << vertex << "||" << *simplexIter << std::endl;
+ BOOST_CHECK( vertex == *simplexIter);
+ simplexIter--;
+ }
+}
+
+void test_simplex_tree_insert_returns_true(const typePairSimplexBool& returnValue)
+{
+ BOOST_CHECK(returnValue.second == true);
+ typeST::Simplex_handle shReturned = returnValue.first; // Simplex_handle = boost::container::flat_map< Vertex_handle, Node >::iterator
+ BOOST_CHECK(shReturned != typeST::Simplex_handle(NULL));
+}
+
+// Global variables
+Filtration_value max_fil = 0.0;
+int dim_max = -1;
+
+void set_and_test_simplex_tree_dim_fil(typeST& simplexTree, int vectorSize, const Filtration_value& fil)
+{
+ if (vectorSize > dim_max+1)
+ {
+ dim_max = vectorSize-1;
+ simplexTree.set_dimension(dim_max);
+ std::cout << " set_and_test_simplex_tree_dim_fil - dim_max=" << dim_max << std::endl;
+ }
+ if (fil > max_fil)
+ {
+ max_fil = fil;
+ simplexTree.set_filtration(max_fil);
+ std::cout << " set_and_test_simplex_tree_dim_fil - max_fil=" << max_fil << std::endl;
+ }
+ int nb_simplices = simplexTree.num_simplices() + 1;
+ simplexTree.set_num_simplices(nb_simplices);
+
+ BOOST_CHECK( simplexTree.dimension() == dim_max );
+ BOOST_CHECK( AreAlmostTheSame(simplexTree.filtration(), max_fil) );
+ BOOST_CHECK( simplexTree.num_simplices() == nb_simplices );
+}
+
+BOOST_AUTO_TEST_CASE( simplex_tree_insertion )
+{
+ const Filtration_value FIRST_FILTRATION_VALUE = 0.1;
+ const Filtration_value SECOND_FILTRATION_VALUE = 0.2;
+ const Filtration_value THIRD_FILTRATION_VALUE = 0.3;
+ const Filtration_value FOURTH_FILTRATION_VALUE = 0.4;
+ Vertex_handle FIRST_VERTEX_HANDLE = (Vertex_handle)0;
+ Vertex_handle SECOND_VERTEX_HANDLE = (Vertex_handle)1;
+ Vertex_handle THIRD_VERTEX_HANDLE = (Vertex_handle)2;
+ Vertex_handle FOURTH_VERTEX_HANDLE = (Vertex_handle)3;
+
+ // TEST OF INSERTION
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF INSERTION" << std::endl;
+ typeST st;
+
+ // ++ FIRST
+ std::cout << " - INSERT 0" << std::endl;
+ typeVectorVertex firstSimplexVector;
+ firstSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ BOOST_CHECK( firstSimplexVector.size() == 1 );
+ typeSimplex firstSimplex = std::make_pair(firstSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ typePairSimplexBool returnValue =
+ st.insert ( firstSimplex.first, firstSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, firstSimplexVector.size(), firstSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)1 );
+
+ // ++ SECOND
+ std::cout << " - INSERT 1" << std::endl;
+ typeVectorVertex secondSimplexVector;
+ secondSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ BOOST_CHECK( secondSimplexVector.size() == 1 );
+ typeSimplex secondSimplex = std::make_pair(secondSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( secondSimplex.first, secondSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, secondSimplexVector.size(), secondSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)2 );
+
+ // ++ THIRD
+ std::cout << " - INSERT (0,1)" << std::endl;
+ typeVectorVertex thirdSimplexVector;
+ thirdSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ thirdSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ BOOST_CHECK( thirdSimplexVector.size() == 2 );
+ typeSimplex thirdSimplex = std::make_pair(thirdSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( thirdSimplex.first, thirdSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, thirdSimplexVector.size(), thirdSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)2 ); // Not incremented !!
+
+ // ++ FOURTH
+ std::cout << " - INSERT 2" << std::endl;
+ typeVectorVertex fourthSimplexVector;
+ fourthSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ BOOST_CHECK( fourthSimplexVector.size() == 1 );
+ typeSimplex fourthSimplex = std::make_pair(fourthSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( fourthSimplex.first, fourthSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, fourthSimplexVector.size(), fourthSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)3 );
+
+ // ++ FIFTH
+ std::cout << " - INSERT (2,0)" << std::endl;
+ typeVectorVertex fifthSimplexVector;
+ fifthSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ fifthSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ BOOST_CHECK( fifthSimplexVector.size() == 2 );
+ typeSimplex fifthSimplex = std::make_pair(fifthSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( fifthSimplex.first, fifthSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, fifthSimplexVector.size(), fifthSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)3 ); // Not incremented !!
+
+ // ++ SIXTH
+ std::cout << " - INSERT (2,1)" << std::endl;
+ typeVectorVertex sixthSimplexVector;
+ sixthSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ sixthSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ BOOST_CHECK( sixthSimplexVector.size() == 2 );
+ typeSimplex sixthSimplex = std::make_pair(sixthSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( sixthSimplex.first, sixthSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, sixthSimplexVector.size(), sixthSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)3 ); // Not incremented !!
+
+ // ++ SEVENTH
+ std::cout << " - INSERT (2,1,0)" << std::endl;
+ typeVectorVertex seventhSimplexVector;
+ seventhSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ seventhSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ seventhSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ BOOST_CHECK( seventhSimplexVector.size() == 3 );
+ typeSimplex seventhSimplex = std::make_pair(seventhSimplexVector, Filtration_value(THIRD_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( seventhSimplex.first, seventhSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, seventhSimplexVector.size(), seventhSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)3 ); // Not incremented !!
+
+ // ++ EIGHTH
+ std::cout << " - INSERT 3" << std::endl;
+ typeVectorVertex eighthSimplexVector;
+ eighthSimplexVector.push_back(FOURTH_VERTEX_HANDLE);
+ BOOST_CHECK( eighthSimplexVector.size() == 1 );
+ typeSimplex eighthSimplex = std::make_pair(eighthSimplexVector, Filtration_value(FIRST_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( eighthSimplex.first, eighthSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, eighthSimplexVector.size(), eighthSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)4 );
+
+ // ++ NINETH
+ std::cout << " - INSERT (3,0)" << std::endl;
+ typeVectorVertex ninethSimplexVector;
+ ninethSimplexVector.push_back(FOURTH_VERTEX_HANDLE);
+ ninethSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ BOOST_CHECK( ninethSimplexVector.size() == 2 );
+ typeSimplex ninethSimplex = std::make_pair(ninethSimplexVector, Filtration_value(SECOND_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( ninethSimplex.first, ninethSimplex.second );
+
+ test_simplex_tree_insert_returns_true(returnValue);
+ set_and_test_simplex_tree_dim_fil(st, ninethSimplexVector.size(), ninethSimplex.second);
+ BOOST_CHECK( st.num_vertices() == (size_t)4 ); // Not incremented !!
+
+ // ++ TENTH
+ std::cout << " - INSERT 0 (already inserted)" << std::endl;
+ typeVectorVertex tenthSimplexVector;
+ tenthSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ BOOST_CHECK( tenthSimplexVector.size() == 1 );
+ typeSimplex tenthSimplex = std::make_pair(tenthSimplexVector, Filtration_value(FOURTH_FILTRATION_VALUE)); // With a different filtration value
+ returnValue =
+ st.insert ( tenthSimplex.first, tenthSimplex.second );
+
+ BOOST_CHECK(returnValue.second == false);
+ typeST::Simplex_handle shReturned = returnValue.first; // Simplex_handle = boost::container::flat_map< Vertex_handle, Node >::iterator
+ BOOST_CHECK(shReturned == typeST::Simplex_handle(NULL));
+ BOOST_CHECK( st.num_vertices() == (size_t)4 ); // Not incremented !!
+ BOOST_CHECK( st.dimension() == dim_max );
+ BOOST_CHECK( AreAlmostTheSame(st.filtration(), max_fil) );
+
+ // ++ ELEVENTH
+ std::cout << " - INSERT (2,1,0) (already inserted)" << std::endl;
+ typeVectorVertex eleventhSimplexVector;
+ eleventhSimplexVector.push_back(THIRD_VERTEX_HANDLE);
+ eleventhSimplexVector.push_back(SECOND_VERTEX_HANDLE);
+ eleventhSimplexVector.push_back(FIRST_VERTEX_HANDLE);
+ BOOST_CHECK( eleventhSimplexVector.size() == 3 );
+ typeSimplex eleventhSimplex = std::make_pair(eleventhSimplexVector, Filtration_value(FOURTH_FILTRATION_VALUE));
+ returnValue =
+ st.insert ( eleventhSimplex.first, eleventhSimplex.second );
+
+ BOOST_CHECK(returnValue.second == false);
+ shReturned = returnValue.first; // Simplex_handle = boost::container::flat_map< Vertex_handle, Node >::iterator
+ BOOST_CHECK(shReturned == typeST::Simplex_handle(NULL));
+ BOOST_CHECK( st.num_vertices() == (size_t)4 ); // Not incremented !!
+ BOOST_CHECK( st.dimension() == dim_max );
+ BOOST_CHECK( AreAlmostTheSame(st.filtration(), max_fil) );
+
+ // 1
+ // o
+ // /X\
+ // o---o---o
+ // 2 0 3
+
+ // [0.1] 0
+ // [0.1] 1
+ // [0.1] 2
+ // [0.1] 3
+ // [0.2] 1 0
+ // [0.2] 2 0
+ // [0.2] 2 1
+ // [0.2] 3 0
+ // [0.3] 2 1 0
+
+ // !! Be careful, simplex are sorted by filtration value on insertion !!
+ std::cout << "simplex_tree_insertion - first - 0" << std::endl;
+ test_simplex_tree_contains(st, firstSimplex, 0); // (0) -> 0
+ std::cout << "simplex_tree_insertion - second - 1" << std::endl;
+ test_simplex_tree_contains(st, secondSimplex, 1); // (1) -> 1
+ std::cout << "simplex_tree_insertion - third - 4" << std::endl;
+ test_simplex_tree_contains(st, thirdSimplex, 4); // (0,1) -> 4
+ std::cout << "simplex_tree_insertion - fourth - 2" << std::endl;
+ test_simplex_tree_contains(st, fourthSimplex, 2); // (2) -> 2
+ std::cout << "simplex_tree_insertion - fifth - 5" << std::endl;
+ test_simplex_tree_contains(st, fifthSimplex, 5); // (2,0) -> 5
+ std::cout << "simplex_tree_insertion - sixth - 6" << std::endl;
+ test_simplex_tree_contains(st, sixthSimplex, 6); //(2,1) -> 6
+ std::cout << "simplex_tree_insertion - seventh - 8" << std::endl;
+ test_simplex_tree_contains(st, seventhSimplex, 8); // (2,1,0) -> 8
+ std::cout << "simplex_tree_insertion - eighth - 3" << std::endl;
+ test_simplex_tree_contains(st, eighthSimplex, 3); // (3) -> 3
+ std::cout << "simplex_tree_insertion - nineth - 7" << std::endl;
+ test_simplex_tree_contains(st, ninethSimplex, 7); // (3,0) -> 7
+
+ // Display the Simplex_tree - Can not be done in the middle of 2 inserts
+ std::cout << "The complex contains " << st.num_simplices() << " simplices" << std::endl;
+ std::cout << " - dimension " << st.dimension() << " - filtration " << st.filtration() << std::endl;
+ std::cout << std::endl << std::endl << "Iterator on Simplices in the filtration, with [filtration value]:" << std::endl;
+ for( auto f_simplex : st.filtration_simplex_range() )
+ {
+ std::cout << " " << "[" << st.filtration(f_simplex) << "] ";
+ for( auto vertex : st.simplex_vertex_range(f_simplex) )
+ {
+ std::cout << (int)vertex << " ";
+ }
+ std::cout << std::endl;
+ }
+
+}
diff --git a/src/Simplex_tree/test/simplex_tree_for_unit_test.txt b/src/Simplex_tree/test/simplex_tree_for_unit_test.txt
new file mode 100644
index 00000000..73dee16e
--- /dev/null
+++ b/src/Simplex_tree/test/simplex_tree_for_unit_test.txt
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diff --git a/src/Skeleton_blocker/concept/SkeletonBlockerDS.h b/src/Skeleton_blocker/concept/SkeletonBlockerDS.h
new file mode 100644
index 00000000..1fa9dc06
--- /dev/null
+++ b/src/Skeleton_blocker/concept/SkeletonBlockerDS.h
@@ -0,0 +1,127 @@
+/*
+ * SkeletonBlockerDS.h
+ *
+ * Created on: Feb 20, 2014
+ * Author: David Salinas
+ * Copyright 2013 INRIA. All rights reserved
+ */
+
+#ifndef GUDHI_SKELETONBLOCKERDS_H_
+#define GUDHI_SKELETONBLOCKERDS_H_
+
+
+namespace Gudhi {
+
+namespace skbl {
+
+
+
+/** \brief Concept that must be passed to
+ * the template class Skeleton_blockers_complex
+ *
+ */
+struct SkeletonBlockerDS
+{
+ /**
+ * @todo faire un default value pour les vertex_handle
+ */
+
+ /**
+ * @brief index that allows to find the vertex in the boost graph
+ */
+ typedef int boost_vertex_handle;
+
+
+ /**
+ * @brief Root_vertex_handle and Vertex_handle are similar to global and local vertex descriptor
+ * used in <a href="http://www.boost.org/doc/libs/1_38_0/libs/graph/doc/subgraph.html">boost subgraphs</a>
+ * and allow to localize a vertex of a subcomplex on its parent root complex.
+ *
+ * In gross, vertices are stored in a vector
+ * and the Root_vertex_handle and Vertex_handle store indices of a vertex in this vector.
+ *
+ * For the root simplicial complex, the Root_vertex_handle and Vertex_handle of a vertex
+ * are the same.
+ *
+ *
+ * For a subcomplex L of a simplicial complex K, the local descriptor, ie the Vertex_handle, of a
+ * vertex v (that belongs to L) is its position in the vector of vertices
+ * of the subcomplex L whereas its Root_vertex_handle (global descriptor) is the position of v in the vector of the
+ * vertices of the root simplicial complex K.
+ */
+ struct Root_vertex_handle{
+
+ boost_vertex_handle vertex;
+
+ friend ostream& operator << (ostream& o, const Root_vertex_handle & v);
+ };
+
+ /**
+ * A Vertex_handle must be Default Constructible, Assignable and Equality Comparable.
+ */
+ struct Vertex_handle{
+ boost_vertex_handle vertex;
+
+ friend ostream& operator << (ostream& o, const Vertex_handle & v);
+ };
+
+
+ /**
+ * \brief The type of vertices that are stored the boost graph.
+ * A Vertex must be Default Constructible and Equality Comparable.
+ *
+ */
+ struct Graph_vertex{
+ /** \brief Used to deactivate a vertex for example when contracting an edge.
+ * It allows in some cases to remove the vertex at low cost.
+ */
+ void deactivate();
+
+ /** \brief Used to activate a vertex.
+ */
+ void activate();
+
+ /** \brief Tells if the vertex is active.
+ */
+ bool is_active() const;
+
+ void set_id(Root_vertex_handle i);
+ Root_vertex_handle get_id() const;
+ virtual string to_string() const ;
+ friend ostream& operator << (ostream& o, const Graph_vertex & v);
+ };
+
+
+ /**
+ * \brief The type of edges that are stored the boost graph.
+ * An Edge must be Default Constructible and Equality Comparable.
+ */
+ struct Graph_edge{
+ /**
+ * @brief Allows to modify vertices of the edge.
+ */
+ void setId(Root_vertex_handle a,Root_vertex_handle b);
+
+ /**
+ * @brief Returns the first vertex of the edge.
+ */
+ Root_vertex_handle first() const ;
+
+ /**
+ * @brief Returns the second vertex of the edge.
+ */
+ Root_vertex_handle second() const ;
+
+ friend ostream& operator << (ostream& o, const Simple_edge & v);
+ };
+
+
+};
+
+
+
+} // namespace skbl
+} // namespace GUDHI
+
+
+#endif /* GUDHI_SKELETONBLOCKERDS_H_ */
diff --git a/src/Skeleton_blocker/concept/SkeletonBlockerGeometricDS.h b/src/Skeleton_blocker/concept/SkeletonBlockerGeometricDS.h
new file mode 100644
index 00000000..23edaaef
--- /dev/null
+++ b/src/Skeleton_blocker/concept/SkeletonBlockerGeometricDS.h
@@ -0,0 +1,65 @@
+/*
+ * SkeletonBlockerGeometricDS.h
+ *
+ * Created on: Feb 20, 2014
+ * Author: David Salinas
+ * Copyright 2013 INRIA. All rights reserved
+ */
+
+#ifndef GUDHI_SKELETONBLOCKERGEOMETRICDS_H_
+#define GUDHI_SKELETONBLOCKERGEOMETRICDS_H_
+
+/** \brief Concept that must be passed to
+ * the template class Skeleton_blocker_geometric_complex
+ *
+ */
+template<typename GeometryTrait>
+struct SkeletonBlockerGeometricDS : public SkeletonBlockerDS
+{
+
+ /**
+ * Geometry information.
+ */
+ typedef GeometryTrait GT ;
+
+ /**
+ * Type of point (should be the same as GT::Point).
+ */
+ typedef typename GeometryTrait::Point Point;
+
+ /**
+ * @brief Vertex that stores a point.
+ */
+ class Graph_vertex : public SkeletonBlockerDS::Graph_vertex{
+ public:
+ /**
+ * @brief Access to the point.
+ */
+ Point& point(){ return point_; }
+ /**
+ * @brief Access to the point.
+ */
+ const Point& point() const { return point_; }
+ };
+
+ /**
+ * @brief Edge that allows to access to an index.
+ * The indices of the edges are used to store heap information
+ * in the edge contraction algorithm.
+ */
+ class Graph_Edge : public SkeletonBlockerDS::Graph_edge{
+ public:
+ /**
+ * @brief Access to the index.
+ */
+ int& index();
+ /**
+ * @brief Access to the index.
+ */
+ int index();
+ };
+};
+
+
+
+#endif /* GUDHI_SKELETONBLOCKERGEOMETRICDS_H_ */
diff --git a/src/Skeleton_blocker/doc/SkeletonBlockerMainPage.h b/src/Skeleton_blocker/doc/SkeletonBlockerMainPage.h
new file mode 100644
index 00000000..5a80bc8d
--- /dev/null
+++ b/src/Skeleton_blocker/doc/SkeletonBlockerMainPage.h
@@ -0,0 +1,156 @@
+
+/*! \mainpage Skeleton blockers data-structure
+
+\author David Salinas
+
+\section Introduction
+The Skeleton-blocker data-structure had been introduced in the two papers
+\cite skbl_socg2011 \cite skbl_ijcga2012.
+It proposes a light encoding for simplicial complexes by storing only an *implicit* representation of its
+simplices.
+Intuitively, it just stores the 1-skeleton of a simplicial complex with a graph and the set of its "missing faces" that
+is very small in practice (see next section for a formal definition).
+This data-structure handles every classical operations used for simplicial complexes such as
+ as simplex enumeration or simplex removal but operations that are particularly efficient
+ are operations that do not require simplex enumeration such as edge iteration, link computation or simplex contraction.
+
+
+\todo{image wont include}
+
+\section Definitions
+
+We recall briefly classical definitions of simplicial complexes \cite Munkres.
+An abstract simplex is a finite non-empty set and its dimension is its number of elements minus 1.
+Whenever \f$\tau \subset \sigma\f$ and \f$\tau \neq \emptyset \f$, \f$ \tau \f$ is called a face of
+\f$ \sigma\f$ and \f$ \sigma\f$ is called a coface of \f$ \tau \f$ . Furthermore,
+when \f$ \tau \neq \sigma\f$ we say that \f$ \tau\f$ is a proper-face of \f$ \sigma\f$.
+An abstract simplicial complex is a set of simplices that contains all the faces of its simplices.
+The 1-skeleton of a simplicial complex (or its graph) consists of its elements of dimension lower than 2.
+
+
+\image latex "images/ds_representation.eps" "My application" width=10cm
+
+
+To encode, a simplicial complex, one can encodes all its simplices.
+In case when this number gets too large,
+a lighter and implicit version consists of encoding only its graph plus some elements called missing faces or blockers.
+A blocker is a simplex of dimension greater than 1
+that does not belong to the complex but whose all proper faces does.
+
+
+Remark that for a clique complex (i.e. a simplicial complex whose simplices are cliques of its graph), the set of blockers
+is empty and the data-structure is then particularly sparse.
+One famous example of clique-complex is the Rips complex which is intensively used
+in topological data-analysis.
+In practice, the set of blockers of a simplicial complex
+remains also small when simplifying a Rips complex with edge contractions
+but also for most of the simplicial complexes used in topological data-analysis such as Delaunay, Cech or Witness complexes.
+For instance, the numbers of blockers is depicted for a random 3 dimensional sphere embedded into \f$R^4\f$
+in figure X.
+
+
+\image latex "images/blockers_curve.eps" "My application" width=10cm
+
+
+
+
+\section API
+
+\subsection Overview
+
+Four classes define a simplicial complex namely :
+
+\li <Code>Skeleton_blocker_complex</Code> : a simplicial complex with basic operations such as vertex/edge/simplex enumeration and construction
+\li <Code>Skeleton_blocker_link_complex</Code> : the link of a simplex in a parent complex. It is represented as a sub complex
+of the parent complex
+\li <Code>Skeleton_blocker_simplifiable_complex</Code> : a simplicial complex with simplification operations such as edge contraction or simplex collapse
+\li <Code>Skeleton_blocker_geometric_complex</Code> : a simplicial complex who has access to geometric points in \f$R^d\f$
+
+The two last classes are derived classes from the <Code>Skeleton_blocker_complex</Code> class. The class <Code>Skeleton_blocker_link_complex</Code> inheritates from a template passed parameter
+that may be either <Code>Skeleton_blocker_complex</Code> or <Code>Skeleton_blocker_geometric_complex</Code> (a link may store points coordinates or not).
+
+\todo{include links}
+
+\subsection Visitor
+
+The class <Code>Skeleton_blocker_complex</Code> has a visitor that is called when usual operations such as adding an edge or remove a vertex are called.
+You may want to use this visitor to compute statistics or to update another data-structure (for instance this visitor is heavily used in the
+<Code>Contraction</Code> package).
+
+
+
+\section Example
+
+
+\subsection s Iterating through vertices, edges, blockers and simplices
+
+Iteration through vertices, edges, simplices or blockers is straightforward with c++11 for range loops.
+Note that simplex iteration with this implicit data-structure just takes
+a few more time compared to iteration via an explicit representation
+such as the Simplex Tree. The following example computes the Euler Characteristic
+of a simplicial complex.
+
+ \code{.cpp}
+ typedef Skeleton_blocker_complex<Skeleton_blocker_simple_traits> Complex;
+ typedef Complex::Vertex_handle Vertex_handle;
+ typedef Complex::Simplex_handle Simplex;
+
+ const int n = 15;
+
+ // build a full complex with 10 vertices and 2^n-1 simplices
+ Complex complex;
+ for(int i=0;i<n;i++)
+ complex.add_vertex();
+ for(int i=0;i<n;i++)
+ for(int j=0;j<i;j++)
+ //note that add_edge adds the edge and all its cofaces
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+
+ // this is just to illustrate iterators, to count number of vertices
+ // or edges, complex.num_vertices() and complex.num_edges() are
+ // more appropriated!
+ unsigned num_vertices = 0;
+ for(auto v : complex.vertex_range()){
+ ++num_vertices;
+ }
+
+ unsigned num_edges = 0;
+ for(auto e : complex.edge_range())
+ ++num_edges;
+
+ unsigned euler = 0;
+ unsigned num_simplices = 0;
+ // we use a reference to a simplex instead of a copy
+ // value here because a simplex is a set of integers
+ // and copying it cost time
+ for(const Simplex & s : complex.simplex_range()){
+ ++num_simplices;
+ if(s.dimension()%2 == 0)
+ euler += 1;
+ else
+ euler -= 1;
+ }
+ std::cout << "Saw "<<num_vertices<<" vertices, "<<num_edges<<" edges and "<<num_simplices<<" simplices"<<std::endl;
+ std::cout << "The Euler Characteristic is "<<euler<<std::endl;
+ \endcode
+
+
+\verbatim
+./SkeletonBlockerIteration
+Saw 15 vertices, 105 edges and 32767 simplices
+The Euler Characteristic is 1
+ 0.537302s wall, 0.530000s user + 0.000000s system = 0.530000s CPU (98.6%)
+\endverbatim
+
+
+
+\subsection Acknowledgements
+The author wishes to thank Dominique Attali and André Lieutier for
+their collaboration to write the two initial papers about this data-structure
+ and also Dominique for leaving him use a prototype.
+
+
+\copyright GNU General Public License v3.
+\verbatim Contact: David Salinas, david.salinas@inria.fr \endverbatim
+
+*/
diff --git a/src/Skeleton_blocker/example/CMakeLists.txt b/src/Skeleton_blocker/example/CMakeLists.txt
new file mode 100644
index 00000000..0aed1e7a
--- /dev/null
+++ b/src/Skeleton_blocker/example/CMakeLists.txt
@@ -0,0 +1,7 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHIskbl)
+
+add_executable ( SkeletonBlockerIteration Skeleton_blocker_iteration.cpp )
+
+target_link_libraries( SkeletonBlockerIteration ${Boost_TIMER_LIBRARY})
+
diff --git a/src/Skeleton_blocker/example/Skeleton_blocker_iteration.cpp b/src/Skeleton_blocker/example/Skeleton_blocker_iteration.cpp
new file mode 100644
index 00000000..3f4a9ffc
--- /dev/null
+++ b/src/Skeleton_blocker/example/Skeleton_blocker_iteration.cpp
@@ -0,0 +1,73 @@
+#include <boost/timer/timer.hpp>
+#include <stdio.h>
+#include <stdlib.h>
+#include <string>
+#include <fstream>
+#include <sstream>
+
+
+#include "gudhi/Skeleton_blocker.h"
+//#include "gudhi/Skeleton_blocker_complex.h"
+//#include "gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h"
+
+using namespace std;
+using namespace Gudhi;
+using namespace skbl;
+
+typedef Skeleton_blocker_complex<Skeleton_blocker_simple_traits> Complex;
+typedef Complex::Vertex_handle Vertex_handle;
+typedef Complex::Simplex_handle Simplex;
+
+
+Complex build_complete_complex(int n){
+ // build a full complex with 10 vertices and 2^n-1 simplices
+ Complex complex;
+ for(int i=0;i<n;i++)
+ complex.add_vertex();
+ for(int i=0;i<n;i++)
+ for(int j=0;j<i;j++)
+ //note that add_edge, add the edge and all its cofaces
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ return complex;
+}
+
+int main (int argc, char *argv[]){
+ boost::timer::auto_cpu_timer t;
+
+ const int n = 15;
+
+ // build a full complex with 10 vertices and 2^n-1 simplices
+ Complex complex(build_complete_complex(n));
+
+ // this is just to illustrate iterators, to count number of vertices
+ // or edges, complex.num_vertices() and complex.num_edges() are
+ // more appropriated!
+ unsigned num_vertices = 0;
+ for(auto v : complex.vertex_range()){
+ if(v==v); //do something with v as removing a ennoying warning.
+ ++num_vertices;
+ }
+
+ unsigned num_edges = 0;
+ for(auto e : complex.edge_range()){
+ if(e==e);
+ ++num_edges;
+ }
+
+ unsigned euler = 0;
+ unsigned num_simplices = 0;
+ // we use a reference to a simplex instead of a copy
+ // value here because a simplex is a set of integers
+ // and copying it cost time
+ for(const Simplex & s : complex.simplex_range()){
+ ++num_simplices;
+ if(s.dimension()%2 == 0)
+ euler += 1;
+ else
+ euler -= 1;
+ }
+ std::cout << "Saw "<<num_vertices<<" vertices, "<<num_edges<<" edges and "<<num_simplices<<" simplices"<<std::endl;
+ std::cout << "The Euler Characteristic is "<<euler<<std::endl;
+ return EXIT_SUCCESS;
+}
+
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker.h
new file mode 100644
index 00000000..1d215984
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker.h
@@ -0,0 +1,24 @@
+/*
+ * Skeleton_blocker.h
+ *
+ * Created on: Jan, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKER_H
+#define GUDHI_SKELETON_BLOCKER_H
+
+#include "gudhi/Skeleton_blocker_complex.h"
+#include "gudhi/Skeleton_blocker_geometric_complex.h"
+#include "gudhi/Skeleton_blocker_simplifiable_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_off_io.h"
+
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simple_geometric_traits.h"
+
+
+#include "gudhi/Utils.h" //xxx
+
+
+#endif
+
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_complex_visitor.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_complex_visitor.h
new file mode 100644
index 00000000..4475afcc
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_complex_visitor.h
@@ -0,0 +1,113 @@
+/*
+ * ComplexVisitor.h
+ *
+ * Created on: Dec 11, 2013
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_COMPLEXVISITOR_H_
+#define GUDHI_COMPLEXVISITOR_H_
+
+
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h"
+
+namespace Gudhi{
+
+namespace skbl {
+// todo rajouter les const
+
+/**
+ *@class Skeleton_blocker_complex_visitor
+ *@brief Interface for a visitor of a simplicial complex.
+ */
+template <typename Vertex_handle>
+class Skeleton_blocker_complex_visitor {
+public:
+ virtual ~Skeleton_blocker_complex_visitor(){};
+
+ virtual void on_add_vertex(Vertex_handle) = 0;
+ virtual void on_remove_vertex(Vertex_handle) = 0;
+
+ virtual void on_add_edge(Vertex_handle a,Vertex_handle b) = 0;
+ virtual void on_remove_edge(Vertex_handle a,Vertex_handle b) = 0;
+
+ /**
+ * @brief Called when an edge changes, during the contraction of
+ * an edge
+ */
+ virtual void on_changed_edge(Vertex_handle a,Vertex_handle b) = 0;
+
+ /**
+ * @brief Called when performing an edge contraction when
+ * an edge bx is replaced by an edge ax (not already present).
+ * Precisely, this methods is called this way in contract_edge :
+ * add_edge(a,x)
+ * on_swaped_edge(a,b,x)
+ * remove_edge(b,x)
+ */
+ virtual void on_swaped_edge(Vertex_handle a,Vertex_handle b,Vertex_handle x)=0;
+ virtual void on_add_blocker(const Skeleton_blocker_simplex<Vertex_handle>&) = 0;
+ virtual void on_delete_blocker(const Skeleton_blocker_simplex<Vertex_handle>*) = 0;
+};
+
+
+/**
+ *@class Dummy_complex_visitor
+ *@brief A dummy visitor of a simplicial complex that does nothing
+ *
+ */
+template <typename Vertex_handle>
+class Dummy_complex_visitor : public Skeleton_blocker_complex_visitor<Vertex_handle>{
+public:
+ void on_add_vertex(Vertex_handle) {}
+ void on_remove_vertex(Vertex_handle){}
+ void on_add_edge(Vertex_handle a,Vertex_handle b){}
+ void on_remove_edge(Vertex_handle a,Vertex_handle b){}
+ void on_changed_edge(Vertex_handle a,Vertex_handle b){}
+ void on_swaped_edge(Vertex_handle a,Vertex_handle b,Vertex_handle x){}
+ void on_add_blocker(const Skeleton_blocker_simplex<Vertex_handle>&){}
+ void on_delete_blocker(const Skeleton_blocker_simplex<Vertex_handle>*){}
+
+};
+
+
+
+/**
+ *@class Print_complex_visitor
+ *@brief A visitor that prints the visit information.
+ *
+ */
+template <typename Vertex_handle>
+class Print_complex_visitor : public Skeleton_blocker_complex_visitor<Vertex_handle>{
+public:
+ void on_add_vertex(Vertex_handle v) {
+ std::cerr << "on_add_vertex:"<<v<<std::endl;
+ }
+ void on_remove_vertex(Vertex_handle v){
+ std::cerr << "on_remove_vertex:"<<v<<std::endl;
+ }
+ void on_add_edge(Vertex_handle a,Vertex_handle b){
+ std::cerr << "on_add_edge:"<<a<<","<<b<<std::endl;
+ }
+ void on_remove_edge(Vertex_handle a,Vertex_handle b){
+ std::cerr << "on_remove_edge:"<<a<<","<<b<<std::endl;
+ }
+ void on_changed_edge(Vertex_handle a,Vertex_handle b){
+ std::cerr << "on_changed_edge:"<<a<<","<<b<<std::endl;
+ }
+ void on_swaped_edge(Vertex_handle a,Vertex_handle b,Vertex_handle x){
+ std::cerr << "on_swaped_edge:"<<a<<","<<b<<","<<x<<std::endl;
+ }
+ void on_add_blocker(const Skeleton_blocker_simplex<Vertex_handle>& b){
+ std::cerr << "on_add_blocker:"<<b<<std::endl;
+ }
+ void on_delete_blocker(const Skeleton_blocker_simplex<Vertex_handle>* b){
+ std::cerr << "on_delete_blocker:"<<b<<std::endl;
+ }
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* GUDHI_COMPLEXVISITOR_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h
new file mode 100644
index 00000000..864ee6ac
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h
@@ -0,0 +1,68 @@
+/*
+ * Skeleton_blocker_link_superior.h
+ *
+ * Created on: Feb 19, 2014
+ * Author: David Salinas
+ * Copyright 2013 INRIA. All rights reserved
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKER_LINK_SUPERIOR_H_
+#define GUDHI_SKELETON_BLOCKER_LINK_SUPERIOR_H_
+
+#include "gudhi/Skeleton_blocker_link_complex.h"
+
+namespace Gudhi{
+
+namespace skbl {
+
+template<class ComplexType> class Skeleton_blocker_sub_complex;
+
+
+/**
+ * \brief Class representing the link of a simplicial complex encoded by a skeleton/blockers pair.
+ * It computes only vertices greater than the simplex used to build the link.
+ */
+template<typename ComplexType>
+class Skeleton_blocker_link_superior : public Skeleton_blocker_link_complex<ComplexType>
+{
+ typedef typename ComplexType::Edge_handle Edge_handle;
+
+ typedef typename ComplexType::boost_vertex_handle boost_vertex_handle;
+
+public:
+
+ typedef typename ComplexType::Vertex_handle Vertex_handle;
+ typedef typename ComplexType::Root_vertex_handle Root_vertex_handle;
+ typedef typename ComplexType::Simplex_handle Simplex_handle;
+ typedef typename ComplexType::Root_simplex_handle Root_simplex_handle;
+ typedef typename ComplexType::BlockerMap BlockerMap;
+ typedef typename ComplexType::BlockerPair BlockerPair;
+ typedef typename ComplexType::BlockerMapIterator BlockerMapIterator;
+ typedef typename ComplexType::BlockerMapConstIterator BlockerMapConstIterator;
+ typedef typename ComplexType::Simplex_handle::Simplex_vertex_const_iterator AddressSimplexConstIterator;
+ typedef typename ComplexType::Root_simplex_handle::Simplex_vertex_const_iterator IdSimplexConstIterator;
+
+
+ Skeleton_blocker_link_superior()
+ :Skeleton_blocker_link_complex<ComplexType>(true)
+ {
+ }
+
+ Skeleton_blocker_link_superior(const ComplexType & parent_complex, Simplex_handle& alpha_parent_adress)
+ :Skeleton_blocker_link_complex<ComplexType>(parent_complex,alpha_parent_adress,true)
+ {
+ }
+
+ Skeleton_blocker_link_superior(const ComplexType & parent_complex, Vertex_handle a_parent_adress)
+ :Skeleton_blocker_link_complex<ComplexType>(parent_complex,a_parent_adress,true)
+ {
+ }
+
+};
+
+}
+
+} // namespace GUDHI
+
+
+#endif /* SKELETON_BLOCKER_LINK_SUPERIOR_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_off_io.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_off_io.h
new file mode 100644
index 00000000..369635e5
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_off_io.h
@@ -0,0 +1,108 @@
+/*
+ * Skeleton_blocker_off_io.h
+ * Created on: Nov 28, 2014
+ * 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): David Salinas
+ *
+ * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (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 SKELETON_BLOCKER_OFF_IO_H_
+#define SKELETON_BLOCKER_OFF_IO_H_
+
+#include "gudhi/Off_reader.h"
+
+namespace Gudhi {
+
+namespace skbl {
+
+template<typename Complex>
+class Skeleton_blocker_off_visitor_reader{
+ Complex& complex_;
+ typedef typename Complex::Vertex_handle Vertex_handle;
+ typedef typename Complex::Point Point;
+
+ const bool load_only_points_;
+
+public:
+ Skeleton_blocker_off_visitor_reader(Complex& complex,bool load_only_points = false):
+ complex_(complex),
+ load_only_points_(load_only_points){}
+
+
+ void init(int dim,int num_vertices,int num_faces,int num_edges){
+ //todo do an assert to check that this number are correctly read
+ //todo reserve size for vector points
+ }
+
+
+ void point(const std::vector<double>& point){
+ complex_.add_vertex(point);
+ }
+
+ void maximal_face(const std::vector<int>& face){
+ if (!load_only_points_){
+ for(size_t i = 0 ; i < face.size();++i)
+ for(size_t j = i+1 ; j < face.size();++j){
+ complex_.add_edge(Vertex_handle(face[i]),Vertex_handle(face[j]));
+ }
+ }
+ }
+
+ void done(){
+ }
+};
+
+template<typename Complex>
+class Skeleton_blocker_off_reader{
+public:
+ /**
+ * name_file : file to read
+ * read_complex : complex that will receive the file content
+ * read_only_points : specify true if only the points must be read
+ */
+ Skeleton_blocker_off_reader(const std::string & name_file,Complex& read_complex,bool read_only_points = false):valid_(false){
+ std::ifstream stream(name_file);
+ if(stream.is_open()){
+ Skeleton_blocker_off_visitor_reader<Complex> off_visitor(read_complex,read_only_points);
+ Off_reader off_reader(stream);
+ valid_ = off_reader.read(off_visitor);
+ }
+ }
+
+ /**
+ * return true iff reading did not meet problems.
+ */
+ bool is_valid() const{
+ return valid_;
+ }
+
+private:
+ bool valid_;
+};
+
+} // namespace skbl
+
+
+} // namespace Gudhi
+
+
+#endif /* SKELETON_BLOCKER_OFF_IO_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_geometric_traits.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_geometric_traits.h
new file mode 100644
index 00000000..79a8e7aa
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_geometric_traits.h
@@ -0,0 +1,66 @@
+/*
+ * Skeleton_blocker_simple_geometric_traits.h
+ *
+ * Created on: Feb 11, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_SIMPLE_GEOMETRIC_TRAITS_H_
+#define GUDHI_SKELETON_BLOCKERS_SIMPLE_GEOMETRIC_TRAITS_H_
+
+#include <string>
+#include <sstream>
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h"
+
+namespace Gudhi{
+
+namespace skbl{
+
+/**
+ * @extends SkeletonBlockerGeometricDS
+ */
+template<typename GeometryTrait>
+struct Skeleton_blocker_simple_geometric_traits : public skbl::Skeleton_blocker_simple_traits {
+public:
+
+ typedef GeometryTrait GT;
+ typedef typename GT::Point Point;
+ typedef typename Skeleton_blocker_simple_traits::Root_vertex_handle Root_vertex_handle;
+ typedef typename Skeleton_blocker_simple_traits::Graph_vertex Simple_vertex;
+
+ /**
+ * @brief Vertex with a point attached.
+ */
+ class Simple_geometric_vertex : public Simple_vertex{
+ template<class ComplexGeometricTraits> friend class Skeleton_blocker_geometric_complex;
+ private:
+ Point point_;
+ Point& point(){ return point_; }
+ const Point& point() const { return point_; }
+ };
+
+
+ class Simple_geometric_edge : public Skeleton_blocker_simple_traits::Graph_edge{
+ int index_;
+ public:
+ Simple_geometric_edge():Skeleton_blocker_simple_traits::Graph_edge(),index_(-1){}
+ /**
+ * @brief Allows to modify the index of the edge.
+ * The indices of the edge are used to store heap information
+ * in the edge contraction algorithm.
+ */
+ int& index(){return index_;}
+ int index() const {return index_;}
+ };
+
+
+ typedef Simple_geometric_vertex Graph_vertex;
+ typedef Skeleton_blocker_simple_traits::Graph_edge Graph_edge;
+};
+
+
+}
+
+} // namespace GUDHI
+
+#endif /* GUDHI_SKELETON_BLOCKERS_SIMPLE_GEOMETRIC_TRAITS_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h
new file mode 100644
index 00000000..3975bb46
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h
@@ -0,0 +1,142 @@
+/*
+ * Skeleton_blocker_simple_traits.h
+ *
+ * Created on: Feb 11, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_SIMPLE_TRAITS_H_
+#define GUDHI_SKELETON_BLOCKERS_SIMPLE_TRAITS_H_
+
+#include <string>
+#include <sstream>
+#include "Skeleton_blocker_simplex.h"
+
+namespace Gudhi{
+
+namespace skbl {
+
+/**
+ * @extends SkeletonBlockerDS
+ */
+struct Skeleton_blocker_simple_traits{
+ /**
+ * @brief global and local handle similar to <a href="http://www.boost.org/doc/libs/1_38_0/libs/graph/doc/subgraph.html">boost subgraphs</a>.
+ * In gross, vertices are stored in a vector.
+ * For the root simplicial complex, the local and global descriptors are the same.
+ * For a subcomplex L and one of its vertices 'v', the local descriptor of 'v' is its position in
+ * the vertex vector of the subcomplex L whereas its global descriptor is the position of 'v'
+ * in the vertex vector of the root simplicial complex.
+ */
+ struct Root_vertex_handle{
+ typedef int boost_vertex_handle;
+ explicit Root_vertex_handle(boost_vertex_handle val = -1 ):vertex(val){}
+ boost_vertex_handle vertex;
+
+ bool operator!=( const Root_vertex_handle& other) const{
+ return ! (this->vertex == other.vertex);
+ }
+
+ bool operator==( const Root_vertex_handle& other) const{
+ return this->vertex == other.vertex;
+ }
+
+ bool operator<( const Root_vertex_handle& other) const{
+ return this->vertex < other.vertex;
+ }
+
+ friend std::ostream& operator << (std::ostream& o, const Root_vertex_handle & v)
+ {
+ o << v.vertex;
+ return o;
+ }
+ };
+
+ struct Vertex_handle{
+ typedef int boost_vertex_handle;
+ Vertex_handle(boost_vertex_handle val=-1):vertex(val){}
+
+ boost_vertex_handle vertex;
+
+ bool operator==( const Vertex_handle& other) const{
+ return this->vertex == other.vertex;
+ }
+
+ bool operator!=( const Vertex_handle& other) const{
+ return this->vertex != other.vertex;
+ }
+
+ bool operator<(const Vertex_handle& other) const{
+ return this->vertex < other.vertex;
+ }
+
+ friend std::ostream& operator << (std::ostream& o, const Vertex_handle & v)
+ {
+ o << v.vertex;
+ return o;
+ }
+ };
+
+
+
+ class Graph_vertex {
+ bool is_active_;
+ Root_vertex_handle id_;
+ public:
+ virtual ~Graph_vertex(){}
+
+ void activate(){is_active_=true;}
+ void deactivate(){is_active_=false;}
+ bool is_active() const{return is_active_;}
+ void set_id(Root_vertex_handle i){id_=i;}
+ Root_vertex_handle get_id() const{return id_;}
+
+ virtual std::string to_string() const {
+ std::ostringstream res;
+ res<< id_;
+ return res.str();
+ }
+
+ friend std::ostream& operator << (std::ostream& o, const Graph_vertex & v){
+ o << v.to_string();
+ return o;
+ }
+ };
+
+ class Graph_edge {
+ Root_vertex_handle a_;
+ Root_vertex_handle b_;
+ int index_;
+ public:
+
+ Graph_edge():a_(-1),b_(-1),index_(-1){}
+
+ int& index(){return index_;}
+ int index() const {return index_;}
+
+ void setId(Root_vertex_handle a,Root_vertex_handle b){
+ a_ = a;
+ b_ = b;
+ }
+
+ Root_vertex_handle first() const {
+ return a_;
+ }
+
+ Root_vertex_handle second() const {
+ return b_;
+ }
+
+ friend std::ostream& operator << (std::ostream& o, const Graph_edge & v){
+ o << "("<<v.a_<<","<<v.b_<<" - id = "<<v.index();
+ return o;
+ }
+ };
+
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* GUDHI_SKELETON_BLOCKERS_SIMPLE_TRAITS_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h
new file mode 100644
index 00000000..5593a5a8
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h
@@ -0,0 +1,375 @@
+#ifndef GUDHI_SKELETON_BLOCKER_SIMPLEX_H
+#define GUDHI_SKELETON_BLOCKER_SIMPLEX_H
+
+#include<cassert>
+#include<iostream>
+#include<set>
+#include<vector>
+#include <initializer_list>
+
+namespace Gudhi{
+
+namespace skbl {
+
+/**
+ *@brief Abstract simplex used in Skeleton blockers data-structure.
+ *
+ * An abstract simplex is represented as an ordered set of T elements,
+ * each element representing a vertex.
+ *
+ * The element representing a vertex can be SkeletonBlockerDS::Vertex_handle or SkeletonBlockerDS::Root_vertex_handle.
+ *
+ *
+ */
+template <typename T>
+
+class Skeleton_blocker_simplex {
+
+private :
+ std::set<T> simplex_set;
+
+public:
+ typedef typename T::boost_vertex_handle boost_vertex_handle;
+
+ typedef T Vertex_handle;
+
+
+ typedef typename std::set<T>::const_iterator Simplex_vertex_const_iterator;
+ typedef typename std::set<T>::iterator Simplex_vertex_iterator;
+
+ /** @name Constructors / Destructors / Initialization
+ */
+ //@{
+
+
+// Skeleton_blocker_simplex():simplex_set() {}
+
+ /**
+ * Clear the simplex
+ */
+ void clear() {
+ simplex_set.clear();
+ }
+
+
+ Skeleton_blocker_simplex(std::initializer_list<T>& list) {
+ for_each(list.begin(),list.end(),add_vertex);
+ }
+
+
+ template<typename... Args>
+ Skeleton_blocker_simplex(Args... args){
+ add_vertices(args...);
+ }
+
+
+ template<typename... Args>
+ void add_vertices(T v,Args... args){
+ add_vertex(v);
+ add_vertices(args...);
+ }
+
+ void add_vertices(T v){
+ add_vertex(v);
+ }
+
+ void add_vertices(){
+ }
+
+ /**
+ * Initialize a simplex with a string such as {0,1,2}
+ */
+ Skeleton_blocker_simplex(std::string token){
+ clear();
+ if ((token[0] == '{') && (token[token.size()-1] == '}' ) )
+ {
+ token.erase(0,1);
+ token.erase(token.size()-1,1);
+ while(token.size()!=0 ){
+ int coma_position=token.find_first_of(',');
+ //cout << "coma_position:"<<coma_position<<endl;
+ std::string n = token.substr(0,coma_position);
+ //cout << "token:"<<token<<endl;
+ token.erase(0,n.size()+1);
+ add_vertex((T)(atoi(n.c_str())));
+ }
+ }
+ }
+
+ //@}
+
+ /** @name Simplex manipulation
+ */
+ //@{
+
+ /**
+ * Add the vertex v to the simplex:
+ * Note that adding two times the same vertex is
+ * the same that adding it once.
+ * \f$ (*this) \leftarrow (*this) \cup \{ v \} \f$
+ */
+ void add_vertex(T v)
+ {
+ simplex_set.insert(v);
+ }
+
+ /**
+ * Remove the vertex v from the simplex:
+ * \f$ (*this) \leftarrow (*this) \setminus \{ v \} \f$
+ */
+ void remove_vertex(T v)
+ {
+ simplex_set.erase(v);
+ }
+
+ /**
+ * Intersects the simplex with the simplex a:
+ * \f$ (*this) \leftarrow (*this) \cap a \f$
+ */
+ void intersection(const Skeleton_blocker_simplex & a){
+ std::vector<T> v;
+ v.reserve(std::min(simplex_set.size(), a.simplex_set.size()));
+
+ set_intersection(simplex_set.begin(),simplex_set.end(),
+ a.simplex_set.begin(),a.simplex_set.end(),
+ std::back_inserter(v));
+ clear();
+ for (auto i:v)
+ simplex_set.insert(i);
+ }
+
+ /**
+ * Substracts a from the simplex:
+ * \f$ (*this) \leftarrow (*this) \setminus a \f$
+ */
+ void difference(const Skeleton_blocker_simplex & a){
+ std::vector<T> v;
+ v.reserve(simplex_set.size());
+
+ set_difference(simplex_set.begin(),simplex_set.end(),
+ a.simplex_set.begin(),a.simplex_set.end(),
+ std::back_inserter(v));
+
+ clear();
+ for (auto i:v)
+ simplex_set.insert(i);
+ }
+
+ /**
+ * Add vertices of a to the simplex:
+ * \f$ (*this) \leftarrow (*this) \cup a \f$
+ */
+ void union_vertices(const Skeleton_blocker_simplex & a){
+ std::vector<T> v;
+ v.reserve(simplex_set.size() + a.simplex_set.size());
+
+ set_union(simplex_set.begin(),simplex_set.end(),
+ a.simplex_set.begin(),a.simplex_set.end(),
+ std::back_inserter(v));
+ clear();
+ simplex_set.insert(v.begin(),v.end());
+ }
+
+ typename std::set<T>::const_iterator begin() const{
+ return simplex_set.cbegin();
+ }
+
+ typename std::set<T>::const_iterator end() const{
+ return simplex_set.cend();
+ }
+
+ typename std::set<T>::iterator begin(){
+ return simplex_set.begin();
+ }
+
+ typename std::set<T>::iterator end(){
+ return simplex_set.end();
+ }
+
+
+
+ //@}
+
+ /** @name Queries
+ */
+ //@{
+
+ /**
+ * Returns the dimension of the simplex.
+ */
+ int dimension() const{
+ return (simplex_set.size() - 1);
+ }
+
+ bool empty() const{
+ return simplex_set.empty();
+ }
+
+ /**
+ * Returns the first vertex of the (oriented) simplex.
+ *
+ * Be careful : assumes the simplex is non-empty.
+ */
+ T first_vertex() const{
+ assert(!empty());
+ return *(begin());
+ }
+
+ /**
+ * Returns the last vertex of the (oriented) simplex.
+ *
+ * Be careful : assumes the simplex is non-empty.
+ */
+ T last_vertex() const
+ {
+ assert(!empty());
+ return *(simplex_set.rbegin());
+ }
+ /**
+ * @return true iff the simplex contains the simplex a, i.e. iff \f$ a \subset (*this) \f$.
+ */
+ bool contains(const Skeleton_blocker_simplex & a) const{
+ return includes(simplex_set.cbegin(),simplex_set.cend(),a.simplex_set.cbegin(),a.simplex_set.cend());
+ }
+
+ /**
+ * @return true iff the simplex contains the difference \f$ a \setminus b \f$.
+ */
+ bool contains_difference(const Skeleton_blocker_simplex& a, const Skeleton_blocker_simplex& b) const{
+ auto first1 = begin();
+ auto last1 = end();
+
+ auto first2 = a.begin();
+ auto last2 = a.end();
+
+ while (first2!=last2) {
+ // we ignore vertices of b
+ if(b.contains(*first2)){
+ ++first2;
+ }
+ else{
+ if ( (first1==last1) || (*first2<*first1) ) return false;
+ if (!(*first1<*first2)) ++first2;
+ ++first1;
+ }
+ }
+ return true;
+ }
+
+ /**
+ * @return true iff the simplex contains the difference \f$ a \setminus \{ x \} \f$.
+ */
+ bool contains_difference(const Skeleton_blocker_simplex& a, T x) const{
+ auto first1 = begin();
+ auto last1 = end();
+
+ auto first2 = a.begin();
+ auto last2 = a.end();
+
+ while (first2!=last2) {
+ // we ignore vertices of b
+ if(x == *first2){
+ ++first2;
+ }
+ else{
+ if ( (first1==last1) || (*first2<*first1) ) return false;
+ if (!(*first1<*first2)) ++first2;
+ ++first1;
+ }
+ }
+ return true;
+ }
+
+ /**
+ * @return true iff the simplex contains the difference \f$ a \setminus \{ x \} \f$.
+ */
+ bool contains_difference(const Skeleton_blocker_simplex& a, T x, T y) const{
+ auto first1 = begin();
+ auto last1 = end();
+
+ auto first2 = a.begin();
+ auto last2 = a.end();
+
+ while (first2!=last2) {
+ // we ignore vertices of b
+ if(x == *first2 || y == *first2){
+ ++first2;
+ }
+ else{
+ if ( (first1==last1) || (*first2<*first1) ) return false;
+ if (!(*first1<*first2)) ++first2;
+ ++first1;
+ }
+ }
+ return true;
+ }
+
+
+ /**
+ * @return true iff the simplex contains the vertex v, i.e. iff \f$ v \in (*this) \f$.
+ */
+ bool contains(T v) const{
+ return (simplex_set.find(v) != simplex_set.end());
+ }
+
+ /**
+ * @return \f$ (*this) \cap a = \emptyset \f$.
+ */
+ bool disjoint(const Skeleton_blocker_simplex& a) const{
+ std::vector<T> v;
+ v.reserve(std::min(simplex_set.size(), a.simplex_set.size()));
+
+ set_intersection(simplex_set.cbegin(),simplex_set.cend(),
+ a.simplex_set.cbegin(),a.simplex_set.cend(),
+ std::back_inserter(v));
+
+ return (v.size()==0);
+ }
+
+
+ bool operator==(const Skeleton_blocker_simplex& other) const{
+ return (this->simplex_set == other.simplex_set);
+ }
+
+ bool operator!=(const Skeleton_blocker_simplex& other) const{
+ return (this->simplex_set != other.simplex_set);
+ }
+
+ bool operator<(const Skeleton_blocker_simplex& other) const{
+ return (std::lexicographical_compare(this->simplex_set.begin(),this->simplex_set.end(),
+ other.begin(),other.end()));
+ }
+
+ //@}
+
+
+
+
+
+ /**
+ * Display a simplex
+ */
+ friend std::ostream& operator << (std::ostream& o, const Skeleton_blocker_simplex & sigma)
+ {
+ bool first = true;
+ o << "{";
+ for(auto i : sigma)
+ {
+ if(first) first = false ;
+ else o << ",";
+ o << i;
+ }
+ o << "}";
+ return o;
+ }
+
+
+};
+
+}
+
+} // namespace GUDHI
+
+#endif
+
+
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h
new file mode 100644
index 00000000..5ca8e9af
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h
@@ -0,0 +1,295 @@
+#ifndef GUDHI_SKELETON_BLOCKER_SUB_COMPLEX_H
+#define GUDHI_SKELETON_BLOCKER_SUB_COMPLEX_H
+
+#include "gudhi/Skeleton_blocker_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h"
+#include "gudhi/Utils.h"
+
+namespace Gudhi{
+
+namespace skbl {
+
+/**
+ * @brief Simplicial subcomplex of a complex represented by a skeleton/blockers pair.
+ *
+ * @details Stores a subcomplex of a simplicial complex.
+ * To simplify explanations below, we will suppose that :
+ * - K is the root simplicial complex
+ * - L is a subcomplex of K.
+ *
+ * One vertex of K may exists in L but with a different address.
+ * To be able to locate the vertices in K from vertices of L, the class
+ * stores a map 'adresses' between vertices of K and vertices of L.
+ *
+ * Note that the type for handle of vertices of L is 'Vertex_handle' and
+ * the type for handle of vertices of K is 'Root_vertex_handle'.
+ *
+ * The template ComplexType is type of the root complex. It allows to know
+ * if the subcomplex is geometric or not.
+ * It has to be either 'Skeleton_blockers_complex' or 'Skeleton_blockers_geometric_complex'.
+ *
+ */
+template<typename ComplexType>
+class Skeleton_blocker_sub_complex : public ComplexType
+{
+
+protected:
+
+ template<class T> friend class Skeleton_blocker_link_complex;
+
+ typedef typename ComplexType::Graph Graph;
+ typedef typename ComplexType::Edge_handle Edge_handle;
+
+ typedef typename ComplexType::boost_vertex_handle boost_vertex_handle;
+
+
+public:
+ using ComplexType::add_vertex;
+ using ComplexType::add_edge;
+ using ComplexType::add_blocker;
+
+ typedef typename ComplexType::Vertex_handle Vertex_handle;
+ typedef typename ComplexType::Root_vertex_handle Root_vertex_handle;
+ typedef typename ComplexType::Simplex_handle Simplex_handle;
+ typedef typename ComplexType::Root_simplex_handle Root_simplex_handle;
+
+
+protected:
+
+
+ ///**
+ //* @brief Returns true iff the simplex formed by all vertices contained in 'addresses_sigma_in_link'
+ //* but 'vertex_to_be_ignored' is in 'link'
+ //*/
+ /*
+ template<typename T> friend bool
+ proper_face_in_union(
+ Skeleton_blocker_sub_complex<T> & link,
+ std::vector<boost::optional<typename T::Vertex_handle> > & addresses_sigma_in_link,
+ int vertex_to_be_ignored);*/
+
+ /**
+ * @brief Determines whether all proper faces of simplex 'sigma' belong to 'link1' \cup 'link2'
+ * where 'link1' and 'link2' are subcomplexes of the same complex of type ComplexType
+ */
+ // template<typename T> friend bool
+ // proper_faces_in_union(Skeleton_blocker_simplex<typename T::Root_vertex_handle> & sigma, Skeleton_blocker_sub_complex<T> & link1, Skeleton_blocker_sub_complex<T> & link2){
+
+ //template<typename T> friend bool
+ //proper_faces_in_union(Skeleton_blocker_simplex<typename T::Root_vertex_handle> & sigma, Skeleton_blocker_sub_complex<T> & link1, Skeleton_blocker_sub_complex<T> & link2);
+
+ typedef std::map<Root_vertex_handle, Vertex_handle> IdAddressMap;
+ typedef typename IdAddressMap::value_type AddressPair;
+ typedef typename IdAddressMap::iterator IdAddressMapIterator;
+ typedef typename IdAddressMap::const_iterator IdAddressMapConstIterator;
+ std::map<Root_vertex_handle, Vertex_handle> adresses;
+
+
+public:
+ /**
+ * Add a vertex 'global' of K to L. When added to L, this vertex will receive
+ * another number, addresses(global), its local adress.
+ * return the adress where the vertex lay on L.
+ * The vertex corresponding to 'global' must not be already present
+ * in the complex.
+ */
+ Vertex_handle add_vertex(Root_vertex_handle global){
+ assert(!this->contains_vertex(global));
+ Vertex_handle address(boost::add_vertex(this->skeleton));
+ this->num_vertices_++;
+ (*this)[address].activate();
+ (*this)[address].set_id(global);
+ adresses.insert(AddressPair(global, address));
+ this->degree_.push_back(0);
+ return address;
+ }
+
+
+ /**
+ * Add an edge (v1_root,v2_root) to the sub-complex.
+ * It assumes that both vertices corresponding to v1_root and v2_root are present
+ * in the sub-complex.
+ */
+ void add_edge(Root_vertex_handle v1_root, Root_vertex_handle v2_root){
+ auto v1_sub(this->get_address(v1_root));
+ auto v2_sub(this->get_address(v2_root));
+ assert(v1_sub && v2_sub);
+ this->ComplexType::add_edge(*v1_sub, *v2_sub);
+ }
+
+ /**
+ * Add a blocker to the sub-complex.
+ * It assumes that all vertices of blocker_root are present
+ * in the sub-complex.
+ */
+ void add_blocker(const Root_simplex_handle& blocker_root){
+ auto blocker_sub = this->get_address(blocker_root);
+ assert(blocker_sub);
+ this->add_blocker(new Simplex_handle(*blocker_sub));
+ }
+
+
+
+public:
+
+ /**
+ * Constructs the restricted complex of 'parent_complex' to
+ * vertices of 'simplex'.
+ */
+ friend void make_restricted_complex(const ComplexType & parent_complex, const Simplex_handle& simplex, Skeleton_blocker_sub_complex & result){
+ result.clear();
+ // add vertices to the sub complex
+ for (auto x : simplex){
+ assert(parent_complex.contains_vertex(x));
+ auto x_local = result.add_vertex(parent_complex[x].get_id());
+ result[x_local] = parent_complex[x];
+ }
+
+ // add edges to the sub complex
+ for (auto x : simplex){
+ // x_neigh is the neighbor of x intersected with vertices_simplex
+ Simplex_handle x_neigh;
+ parent_complex.add_neighbours(x, x_neigh, true);
+ x_neigh.intersection(simplex);
+ for (auto y : x_neigh){
+ result.add_edge(parent_complex[x].get_id(), parent_complex[y].get_id());
+ }
+ }
+
+ // add blockers to the sub complex
+ for (auto blocker : parent_complex.const_blocker_range()){
+ // check if it is the first time we encounter the blocker
+ if (simplex.contains(*blocker)){
+ Root_simplex_handle blocker_root(parent_complex.get_id(*(blocker)));
+ Simplex_handle blocker_restr(*result.get_simplex_address(blocker_root));
+ result.add_blocker(new Simplex_handle(blocker_restr));
+ }
+ }
+ }
+
+
+
+ void clear(){
+ adresses.clear();
+ ComplexType::clear();
+ }
+
+ /**
+ * Compute the local vertex in L corresponding to the vertex global in K.
+ * runs in O(log n) if n = num_vertices()
+ */
+ boost::optional<Vertex_handle> get_address(Root_vertex_handle global) const{
+ boost::optional<Vertex_handle> res;
+ IdAddressMapConstIterator it = adresses.find(global);
+ if (it == adresses.end()) res.reset();
+ else res = (*it).second;
+ return res;
+ }
+
+ // /**
+ // * Allocates a simplex in L corresponding to the simplex s in K
+ // * with its local adresses and returns an AddressSimplex.
+ // */
+ // boost::optional<Simplex_handle> get_address(const Root_simplex_handle & s) const;
+
+
+//private:
+ /**
+ * same as get_address except that it will return a simplex in any case.
+ * The vertices that were not found are not added.
+ */
+ // @remark should be private but problem with VS
+ std::vector<boost::optional<Vertex_handle> > get_addresses(const Root_simplex_handle & s) const{
+ std::vector<boost::optional<Vertex_handle> > res;
+ for (auto i : s)
+ {
+ res.push_back(get_address(i));
+ }
+ return res;
+ }
+
+};
+
+
+/**
+ * @remark remarque perte de temps a creer un nouveau simplexe a chaque fois
+ * alors qu'on pourrait utiliser a la place de 'addresses_sigma_in_link'
+ * un simplex avec des valeurs spéciales ComplexDS::null_vertex par exemple
+ * pour indiquer qu'un vertex n'appartient pas au complex
+ */
+template<typename ComplexType>
+bool proper_face_in_union(
+ Skeleton_blocker_sub_complex<ComplexType> & link,
+ std::vector<boost::optional<typename ComplexType::Vertex_handle> > & addresses_sigma_in_link,
+ int vertex_to_be_ignored)
+{
+ // we test that all vertices of 'addresses_sigma_in_link' but 'vertex_to_be_ignored'
+ // are in link1 if it is the case we construct the corresponding simplex
+ bool vertices_sigma_are_in_link = true;
+ typename ComplexType::Simplex_handle sigma_in_link;
+ for (int i = 0; i < addresses_sigma_in_link.size(); ++i){
+ if (i != vertex_to_be_ignored){
+ if (!addresses_sigma_in_link[i]){
+ vertices_sigma_are_in_link = false;
+ break;
+ }
+ else sigma_in_link.add_vertex(*addresses_sigma_in_link[i]);
+ }
+ }
+ // If one of vertices of the simplex is not in the complex then it returns false
+ // Otherwise, it tests if the simplex is in the complex
+ return vertices_sigma_are_in_link && link.contains(sigma_in_link);
+}
+
+/*
+ template<typename ComplexType>
+ bool
+ proper_faces_in_union(Skeleton_blocker_simplex<typename ComplexType::Root_vertex_handle> & sigma, Skeleton_blocker_sub_complex<ComplexType> & link1, Skeleton_blocker_sub_complex<ComplexType> & link2)
+ {
+ typedef typename ComplexType::Vertex_handle Vertex_handle;
+ std::vector<boost::optional<Vertex_handle> > addresses_sigma_in_link1 = link1.get_addresses(sigma);
+ std::vector<boost::optional<Vertex_handle> > addresses_sigma_in_link2 = link2.get_addresses(sigma);
+
+ for (int current_index = 0; current_index < addresses_sigma_in_link1.size(); ++current_index)
+ {
+
+ if (!proper_face_in_union(link1, addresses_sigma_in_link1, current_index)
+ && !proper_face_in_union(link2, addresses_sigma_in_link2, current_index)){
+ return false;
+ }
+ }
+ return true;
+ }*/
+
+
+
+// Remark: this function should be friend in order to leave get_adresses private
+// however doing so seemes currently not possible due to a visual studio bug c2668
+// "the compiler does not support partial ordering of template functions as specified in the C++ Standard"
+// http://www.serkey.com/error-c2668-ambiguous-call-to-overloaded-function-bb45ft.html
+template<typename ComplexType>
+bool
+proper_faces_in_union(Skeleton_blocker_simplex<typename ComplexType::Root_vertex_handle> & sigma, Skeleton_blocker_sub_complex<ComplexType> & link1, Skeleton_blocker_sub_complex<ComplexType> & link2)
+{
+ typedef typename ComplexType::Vertex_handle Vertex_handle;
+ std::vector<boost::optional<Vertex_handle> > addresses_sigma_in_link1 = link1.get_addresses(sigma);
+ std::vector<boost::optional<Vertex_handle> > addresses_sigma_in_link2 = link2.get_addresses(sigma);
+
+ for (int current_index = 0; current_index < addresses_sigma_in_link1.size(); ++current_index)
+ {
+
+ if (!proper_face_in_union(link1, addresses_sigma_in_link1, current_index)
+ && !proper_face_in_union(link2, addresses_sigma_in_link2, current_index)){
+ return false;
+ }
+ }
+ return true;
+}
+
+} // namespace skbl
+
+} // namespace GUDHI
+
+
+#endif
+
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/internal/Top_faces.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/internal/Top_faces.h
new file mode 100644
index 00000000..0d870f1a
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/internal/Top_faces.h
@@ -0,0 +1,53 @@
+/*
+ * Top_faces.h
+ *
+ * Created on: Oct 23, 2014
+ * Author: dsalinas
+ */
+
+#ifndef TOP_FACES_H_
+#define TOP_FACES_H_
+
+#include <list>
+#include <vector>
+#include <set>
+
+template<typename SimplexHandle>
+std::list<SimplexHandle> subfaces(SimplexHandle top_face){
+ std::list<SimplexHandle> res;
+ if(top_face.dimension()==-1) return res;
+ if(top_face.dimension()==0) {
+ res.push_back(top_face);
+ return res;
+ }
+ else{
+ auto first_vertex = top_face.first_vertex();
+ top_face.remove_vertex(first_vertex);
+ res = subfaces(top_face);
+ std::list<SimplexHandle> copy = res;
+ for(auto& simplex : copy){
+ simplex.add_vertex(first_vertex);
+ }
+ res.push_back(SimplexHandle(first_vertex));
+ res.splice(res.end(),copy);
+ return res;
+ }
+}
+
+/**
+ * add all faces of top_face in simplices_per_dimension
+ */
+template<typename SimplexHandle>
+void register_faces(
+ std::vector< std::set<SimplexHandle> >& simplices_per_dimension,
+ const SimplexHandle& top_face){
+ std::list<SimplexHandle> subfaces_list = subfaces(top_face);
+ for(auto& simplex : subfaces_list ){
+ simplices_per_dimension[simplex.dimension()].insert(simplex);
+ }
+}
+
+
+
+
+#endif /* TOP_FACES_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_blockers_iterators.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_blockers_iterators.h
new file mode 100644
index 00000000..21091d10
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_blockers_iterators.h
@@ -0,0 +1,120 @@
+/*
+ * Skeleton_blockers_blockers_iterators.h
+ *
+ * Created on: Aug 25, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_BLOCKERS_ITERATORS_H_
+#define GUDHI_SKELETON_BLOCKERS_BLOCKERS_ITERATORS_H_
+
+#include "boost/iterator/iterator_facade.hpp"
+
+namespace Gudhi{
+
+namespace skbl {
+
+/**
+ * @brief Iterator through the blockers of a vertex.
+ */
+// ReturnType = const Simplex_handle* or Simplex_handle*
+// MapIteratorType = BlockerMapConstIterator or BlockerMapIterator
+template<typename MapIteratorType, typename ReturnType>
+class Blocker_iterator_internal : public boost::iterator_facade<
+ Blocker_iterator_internal<MapIteratorType,ReturnType>,
+ ReturnType,
+ boost::forward_traversal_tag,
+ ReturnType
+ >{
+private:
+ MapIteratorType current_position;
+ MapIteratorType end_of_map;
+public:
+
+ Blocker_iterator_internal():current_position(){}
+
+ Blocker_iterator_internal(MapIteratorType position,MapIteratorType end_of_map_ ):
+ current_position(position), end_of_map(end_of_map_)
+ { }
+
+ bool equal(const Blocker_iterator_internal& other) const{
+ return current_position == other.current_position;
+ }
+
+ void increment(){
+ goto_next_blocker();
+ }
+
+ ReturnType dereference() const {
+ return(current_position->second);
+ }
+
+private:
+ /**
+ * Let the current pair be (v,sigma) where v is a vertex and sigma is a blocker.
+ * If v is not the first vertex of sigma then we already have seen sigma as a blocker
+ * and we look for the next one.
+ */
+ void goto_next_blocker(){
+ do {
+ ++current_position;
+ } while (!(current_position == end_of_map) && !first_time_blocker_is_seen());
+ }
+
+ bool first_time_blocker_is_seen() const{
+ return current_position->first == current_position->second->first_vertex();
+ }
+};
+
+
+
+/**
+ * @brief Iterator through the blockers of a vertex
+ */
+// ReturnType = const Simplex_handle* or Simplex_handle*
+// MapIteratorType = BlockerMapConstIterator or BlockerMapIterator
+template<typename MapIteratorType, typename ReturnType>
+class Blocker_iterator_around_vertex_internal : public boost::iterator_facade<
+ Blocker_iterator_around_vertex_internal<MapIteratorType,ReturnType>,
+ ReturnType,
+ boost::forward_traversal_tag,
+ ReturnType
+>{
+private:
+ MapIteratorType current_position_;
+public:
+
+ Blocker_iterator_around_vertex_internal():current_position_(){}
+
+ Blocker_iterator_around_vertex_internal(MapIteratorType position):
+ current_position_(position)
+ {}
+
+ Blocker_iterator_around_vertex_internal& operator=(Blocker_iterator_around_vertex_internal other){
+ this->current_position_ = other.current_position_;
+ return *this;
+ }
+
+ bool equal(const Blocker_iterator_around_vertex_internal& other) const{
+ return current_position_ == other.current_position_;
+ }
+
+ void increment(){
+ current_position_++;
+ }
+
+ ReturnType dereference() const{
+ return(current_position_->second);
+ }
+
+
+ MapIteratorType current_position(){
+ return this->current_position_;
+ }
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* GUDHI_SKELETON_BLOCKERS_BLOCKERS_ITERATORS_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_edges_iterators.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_edges_iterators.h
new file mode 100644
index 00000000..82025a1c
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_edges_iterators.h
@@ -0,0 +1,153 @@
+/*
+ * Skeleton_blockers_iterators_out.h
+ *
+ * Created on: Aug 25, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_ITERATORS_EDGES_H_
+#define GUDHI_SKELETON_BLOCKERS_ITERATORS_EDGES_H_
+
+#include "boost/iterator/iterator_facade.hpp"
+
+
+namespace Gudhi{
+
+namespace skbl {
+
+template<typename SkeletonBlockerComplex>
+class Complex_edge_around_vertex_iterator :
+ public boost::iterator_facade < Complex_edge_around_vertex_iterator<SkeletonBlockerComplex>
+ , typename SkeletonBlockerComplex::Edge_handle const
+ , boost::forward_traversal_tag
+ , typename SkeletonBlockerComplex::Edge_handle const
+ >
+{
+ friend class boost::iterator_core_access;
+
+ typedef SkeletonBlockerComplex Complex;
+ typedef typename Complex::boost_adjacency_iterator boost_adjacency_iterator;
+ typedef typename Complex::Vertex_handle Vertex_handle;
+ typedef typename Complex::Edge_handle Edge_handle;
+
+private:
+
+ const Complex* complex;
+ Vertex_handle v;
+
+ boost_adjacency_iterator current_;
+ boost_adjacency_iterator end_;
+
+public:
+
+ Complex_edge_around_vertex_iterator():complex(NULL){
+ }
+
+ Complex_edge_around_vertex_iterator(const Complex* complex_,Vertex_handle v_):
+ complex(complex_),
+ v(v_)
+ {
+ tie(current_,end_) = adjacent_vertices(v.vertex, complex->skeleton);
+ }
+
+ /**
+ * returns an iterator to the end
+ */
+ Complex_edge_around_vertex_iterator(const Complex* complex_,Vertex_handle v_,int end):
+ complex(complex_),
+ v(v_)
+ {
+ tie(current_,end_) = adjacent_vertices(v.vertex, complex->skeleton);
+ set_end();
+ }
+
+ bool equal(const Complex_edge_around_vertex_iterator& other) const{
+ return (complex== other.complex) && (v == other.v) && (current_ == other.current_) && (end_ == other.end_);
+ }
+
+ void increment(){
+ if(current_ != end_)
+ ++current_;
+ }
+
+ Edge_handle dereference() const{
+ return *(*complex)[std::make_pair(v,*current_)];
+ }
+
+private:
+ //remove this ugly hack
+ void set_end(){
+ current_ = end_;
+ }
+};
+
+
+
+/**
+ *@brief Iterator on the edges of a simplicial complex.
+ *
+ */
+template<typename SkeletonBlockerComplex>
+class Complex_edge_iterator :
+public boost::iterator_facade < Complex_edge_iterator<SkeletonBlockerComplex>
+, typename SkeletonBlockerComplex::Edge_handle const
+, boost::forward_traversal_tag
+, typename SkeletonBlockerComplex::Edge_handle const
+>
+
+{
+ friend class boost::iterator_core_access;
+public:
+ typedef SkeletonBlockerComplex Complex;
+ typedef typename Complex::boost_edge_iterator boost_edge_iterator;
+ typedef typename Complex::Edge_handle Edge_handle;
+
+
+ const Complex* complex;
+ std::pair<boost_edge_iterator,boost_edge_iterator> edge_iterator ;
+
+ Complex_edge_iterator():complex(NULL){
+ }
+
+ Complex_edge_iterator(const SkeletonBlockerComplex* complex_):
+ complex(complex_),
+ edge_iterator(boost::edges(complex_->skeleton))
+ {
+ }
+
+ /**
+ * return an iterator to the end
+ */
+ Complex_edge_iterator(const SkeletonBlockerComplex* complex_,int end):
+ complex(complex_),
+ edge_iterator(boost::edges(complex_->skeleton))
+ {
+ edge_iterator.first = edge_iterator.second;
+ }
+
+
+ bool equal(const Complex_edge_iterator& other) const{
+ return (complex == other.complex) && (edge_iterator == other.edge_iterator);
+ }
+
+ void increment(){
+ if(edge_iterator.first != edge_iterator.second){
+ ++(edge_iterator.first);
+ }
+ }
+
+ Edge_handle dereference() const{
+ return(*(edge_iterator.first));
+ }
+};
+
+
+
+}
+
+} // namespace GUDHI
+
+
+#endif /* GUDHI_SKELETON_BLOCKERS_ITERATORS_EDGES_H_ */
+
+
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_iterators.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_iterators.h
new file mode 100644
index 00000000..cf827705
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_iterators.h
@@ -0,0 +1,21 @@
+/*
+ * Skeleton_blockers_iterators.h
+ *
+ * Created on: Aug 25, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_ITERATORS_H_
+#define GUDHI_SKELETON_BLOCKERS_ITERATORS_H_
+
+
+#include "Skeleton_blockers_vertices_iterators.h"
+#include "Skeleton_blockers_edges_iterators.h"
+#include "Skeleton_blockers_blockers_iterators.h"
+#include "Skeleton_blockers_triangles_iterators.h"
+#include "Skeleton_blockers_simplices_iterators.h"
+
+
+
+
+#endif /* GUDHI_SKELETON_BLOCKERS_ITERATORS_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_simplices_iterators.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_simplices_iterators.h
new file mode 100644
index 00000000..5ac0f21e
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_simplices_iterators.h
@@ -0,0 +1,412 @@
+/*
+ * Skeleton_blockers_simplices_iterators.h
+ *
+ * Created on: Sep 26, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_KELETON_BLOCKERS_SIMPLICES_ITERATORS_H_
+#define GUDHI_SKELETON_BLOCKERS_SIMPLICES_ITERATORS_H_
+
+#include <memory>
+#include <list>
+#include <iostream>
+#include "gudhi/Utils.h"
+#include "boost/iterator/iterator_facade.hpp"
+
+
+#include "gudhi/Skeleton_blocker_link_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h"
+
+
+
+
+namespace Gudhi {
+
+
+namespace skbl {
+
+
+/**
+ * Link may be Skeleton_blocker_link_complex<SkeletonBlockerComplex> to iterate over all
+ * simplices around a vertex OR
+ * Skeleton_blocker_superior_link_complex<SkeletonBlockerComplex> to iterate over all
+ * superior vertices around a vertex.
+ * The iteration is done by computing a trie with the link and doing a breadth-first traversal
+ * of the trie.
+ */
+template<typename SkeletonBlockerComplex,typename Link>
+class Simplex_around_vertex_iterator :
+ public boost::iterator_facade < Simplex_around_vertex_iterator<SkeletonBlockerComplex,Link>
+, typename SkeletonBlockerComplex::Simplex_handle
+, boost::forward_traversal_tag
+, typename SkeletonBlockerComplex::Simplex_handle
+>
+{
+ friend class boost::iterator_core_access;
+ typedef SkeletonBlockerComplex Complex;
+ typedef typename Complex::Vertex_handle Vertex_handle;
+ typedef typename Complex::Edge_handle Edge_handle;
+ typedef typename Complex::Simplex_handle Simplex_handle;
+
+
+ typedef typename Link::Vertex_handle Link_vertex_handle;
+ // Link_vertex_handle == Complex_Vertex_handle but this renaming helps avoiding confusion
+
+
+private:
+
+ struct Trie{
+ Vertex_handle v;
+ std::vector<std::shared_ptr<Trie> > childs;
+ private:
+ const Trie* parent_;
+ public:
+
+
+ //std::list<std::unique_ptr<Trie> > childs; -> use of deleted function
+
+ Trie():parent_(0){}
+ Trie(Vertex_handle v_):v(v_),parent_(0){
+ }
+
+ Trie(Vertex_handle v_,Trie* parent):v(v_),parent_(parent){
+ }
+
+
+ bool operator==(const Trie& other) const{
+ return (v == other.v) ;
+ }
+
+ void add_child(Trie* child){
+ if(child){
+ std::shared_ptr<Trie> ptr_to_add(child);
+ childs.push_back(ptr_to_add);
+ child->parent_ = this;
+ }
+ }
+
+
+ friend std::ostream& operator<<(std::ostream& stream, const Trie& trie){
+ stream<< "T( "<< trie.v<< " ";
+ for(auto t : trie.childs)
+ stream << *t ;
+ stream<<")";
+ return stream;
+ }
+
+ // goes to the root in the trie to consitute simplex
+ void add_vertices_up_to_the_root(Simplex_handle& res) const{
+ res.add_vertex(v);
+ if(parent_)
+ parent_->add_vertices_up_to_the_root(res);
+ }
+
+ Simplex_handle simplex() const{
+ Simplex_handle res;
+ add_vertices_up_to_the_root(res);
+ return res;
+ }
+
+ bool is_leaf() const{
+ return childs.empty();
+ }
+
+ bool is_root() const{
+ return parent_==0;
+ }
+
+ const Trie* parent() {
+ return parent_;
+ }
+
+ void remove_leaf() {
+ assert(is_leaf);
+ if(!is_root())
+ parent_->childs.erase(this);
+ }
+
+ private:
+
+
+ public:
+
+ Trie* go_bottom_left(){
+ if(is_leaf())
+ return this;
+ else
+ return (*childs.begin())->go_bottom_left();
+ }
+
+ };
+
+private:
+ const Complex* complex;
+ Vertex_handle v;
+ std::shared_ptr<Link> link_v;
+ std::shared_ptr<Trie> trie;
+ std::list<Trie*> nodes_to_be_seen; // todo regrouper
+
+public:
+ Simplex_around_vertex_iterator():complex(0){
+ }
+
+ Simplex_around_vertex_iterator(const Complex* complex_,Vertex_handle v_):
+ complex(complex_),
+ v(v_),
+ link_v(new Link(*complex_,v_)),
+ trie(new Trie(v_)){
+ compute_trie_and_nodes_to_be_seen();
+ }
+
+ // todo avoid useless copy
+ // todo currently just work if copy begin iterator
+ Simplex_around_vertex_iterator(const Simplex_around_vertex_iterator& other):
+ complex(other.complex),
+ v(other.v),
+ link_v(other.link_v),
+ trie(other.trie),
+ nodes_to_be_seen(other.nodes_to_be_seen)
+ {
+ if(!other.is_end()){
+ }
+ }
+
+ /**
+ * returns an iterator to the end
+ */
+ Simplex_around_vertex_iterator(const Complex* complex_,Vertex_handle v_,bool end):
+ complex(complex_),
+ v(v_){
+ set_end();
+ }
+
+private:
+
+
+ void compute_trie_and_nodes_to_be_seen(){
+ // once we go through every simplices passing through v0
+ // we remove v0. That way, it prevents from passing a lot of times
+ // though edges leaving v0.
+ // another solution would have been to provides an adjacency iterator
+ // to superior vertices that avoids lower ones.
+ while(!link_v->empty()){
+ auto v0 = *(link_v->vertex_range().begin());
+ trie->add_child(build_trie(v0,trie.get()));
+ link_v->remove_vertex(v0);
+ }
+ nodes_to_be_seen.push_back(trie.get());
+ }
+
+ Trie* build_trie(Link_vertex_handle link_vh,Trie* parent){
+ Trie* res = new Trie(parent_vertex(link_vh),parent);
+ for(Link_vertex_handle nv : link_v->vertex_range(link_vh)) {
+ if(link_vh < nv){
+ Simplex_handle simplex_node_plus_nv(res->simplex());
+ simplex_node_plus_nv.add_vertex(parent_vertex(nv));
+ if(complex->contains(simplex_node_plus_nv)){
+ res->add_child(build_trie(nv,res));
+ }
+ }
+ }
+ return res;
+ }
+
+ bool is_node_in_complex(Trie* trie){
+ return true;
+ }
+
+ Vertex_handle parent_vertex(Link_vertex_handle link_vh) const{
+ return complex->convert_handle_from_another_complex(*link_v,link_vh);
+ }
+
+
+
+public:
+
+ friend std::ostream& operator<<(std::ostream& stream, const Simplex_around_vertex_iterator& savi){
+ stream<< savi.trie<< std::endl; ;
+ stream << "("<<savi.nodes_to_be_seen.size()<<") nodes to see\n";
+ return stream;
+ }
+
+ bool equal(const Simplex_around_vertex_iterator& other) const{
+ bool same_complex = (complex == other.complex);
+ if(!same_complex)
+ return false;
+
+ if(!(v == other.v))
+ return false;
+
+ bool both_empty = nodes_to_be_seen.empty() && other.nodes_to_be_seen.empty();
+ if(both_empty)
+ return true;
+
+ bool both_non_empty = !nodes_to_be_seen.empty() && !other.nodes_to_be_seen.empty();
+
+ if(!both_non_empty) return false; //one is empty the other is not
+
+ bool same_node = (**(nodes_to_be_seen.begin()) == **(other.nodes_to_be_seen.begin()));
+ return same_node;
+ }
+
+ void increment(){
+ assert(!is_end());
+ Trie* first_node = nodes_to_be_seen.front();
+
+ nodes_to_be_seen.pop_front();
+
+ for(auto childs : first_node->childs){
+ nodes_to_be_seen.push_back(childs.get());
+ }
+
+ }
+
+ Simplex_handle dereference() const{
+ assert(!nodes_to_be_seen.empty());
+ Trie* first_node = nodes_to_be_seen.front();
+ return first_node->simplex();
+ }
+
+private:
+ void set_end(){
+ nodes_to_be_seen.clear();
+ }
+
+ bool is_end() const{
+ return nodes_to_be_seen.empty();
+ }
+};
+
+
+
+template<typename SkeletonBlockerComplex>
+class Simplex_iterator :
+ public boost::iterator_facade < Simplex_iterator<SkeletonBlockerComplex>
+, typename SkeletonBlockerComplex::Simplex_handle
+, boost::forward_traversal_tag
+, typename SkeletonBlockerComplex::Simplex_handle
+>
+{
+ typedef Skeleton_blocker_link_superior<SkeletonBlockerComplex> Link;
+
+ friend class boost::iterator_core_access;
+
+ template<class SkBlDS> friend class Skeleton_blocker_complex;
+
+
+ typedef SkeletonBlockerComplex Complex;
+ typedef typename Complex::Vertex_handle Vertex_handle;
+ typedef typename Complex::Edge_handle Edge_handle;
+ typedef typename Complex::Simplex_handle Simplex_handle;
+
+ typedef typename Complex::CVI CVI;
+
+
+ typedef typename Link::Vertex_handle Link_vertex_handle;
+
+private:
+
+ const Complex* complex_;
+ CVI current_vertex_;
+
+ typedef Simplex_around_vertex_iterator<SkeletonBlockerComplex,Link> SAVI;
+ SAVI current_simplex_around_current_vertex_;
+ SAVI simplices_around_current_vertex_end_;
+
+
+public:
+ Simplex_iterator():complex_(0){}
+
+ // should not be called if the complex is empty
+ Simplex_iterator(const Complex* complex):
+ complex_(complex),
+ current_vertex_(complex->vertex_range().begin()),
+ current_simplex_around_current_vertex_(complex,*current_vertex_),
+ simplices_around_current_vertex_end_(complex,*current_vertex_,true)
+ {
+ assert(!complex->empty());
+ }
+
+private:
+ // todo return to private
+ Simplex_iterator(const Complex* complex,bool end):
+ complex_(complex)
+ {
+ set_end();
+ }
+
+public:
+
+ Simplex_iterator(const Simplex_iterator& other)
+ :
+ complex_(other.complex_),
+ current_vertex_(other.current_vertex_),
+ current_simplex_around_current_vertex_(other.current_simplex_around_current_vertex_),
+ simplices_around_current_vertex_end_(other.simplices_around_current_vertex_end_)
+ {
+ }
+
+ friend Simplex_iterator make_begin_iterator(const Complex* complex){
+ if(complex->empty())
+ return make_end_simplex_iterator(complex);
+ else
+ return Simplex_iterator(complex);
+ }
+
+ friend Simplex_iterator make_end_simplex_iterator(const Complex* complex){
+ return Simplex_iterator(complex,true);
+ }
+
+ bool equal(const Simplex_iterator& other) const{
+ if(complex_!=other.complex_) return false;
+ if(current_vertex_!=other.current_vertex_) return false;
+ if(is_end() && other.is_end()) return true;
+ if(current_simplex_around_current_vertex_ != other.current_simplex_around_current_vertex_)
+ return false;
+ return true;
+ }
+
+ void increment(){
+ if(current_simplex_around_current_vertex_!= simplices_around_current_vertex_end_){
+ current_simplex_around_current_vertex_.increment();
+ if( current_simplex_around_current_vertex_== simplices_around_current_vertex_end_)
+ goto_next_vertex();
+ }
+ else{
+ goto_next_vertex();
+ }
+ }
+
+ void goto_next_vertex(){
+ current_vertex_.increment();
+ if(!is_end()){
+ current_simplex_around_current_vertex_= SAVI(complex_,*current_vertex_);
+ simplices_around_current_vertex_end_ = SAVI(complex_,*current_vertex_,true);
+ }
+ }
+
+ Simplex_handle dereference() const{
+ return current_simplex_around_current_vertex_.dereference();
+ }
+
+private:
+ void set_end(){
+ current_vertex_ = complex_->vertex_range().end();
+ }
+
+ bool is_end() const{
+ return (current_vertex_ == complex_->vertex_range().end());
+ }
+};
+
+
+}
+
+} // namespace GUDHI
+
+
+
+
+
+#endif /* SKELETON_BLOCKERS_SIMPLICES_ITERATORS_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_triangles_iterators.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_triangles_iterators.h
new file mode 100644
index 00000000..4b66ced5
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_triangles_iterators.h
@@ -0,0 +1,224 @@
+/*
+ * Skeleton_blockers_triangles_iterators.h
+ *
+ * Created on: Aug 25, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_TRIANGLES_ITERATORS_H_
+#define GUDHI_SKELETON_BLOCKERS_TRIANGLES_ITERATORS_H_
+
+#include "boost/iterator/iterator_facade.hpp"
+#include <memory>
+
+namespace Gudhi{
+
+namespace skbl {
+
+//////////////////////////////////////////////////////////////////////
+/**
+ * \brief Iterator over the triangles that are
+ * adjacent to a vertex of the simplicial complex.
+ * \remark Will be removed soon -> dont look
+ */
+template<typename Complex,typename LinkType>
+class Triangle_around_vertex_iterator : public boost::iterator_facade
+< Triangle_around_vertex_iterator <Complex,LinkType>
+, typename Complex::Simplex_handle const
+, boost::forward_traversal_tag
+, typename Complex::Simplex_handle const
+>
+{
+ friend class boost::iterator_core_access;
+ template<typename T> friend class Triangle_iterator;
+private:
+ typedef typename LinkType::Vertex_handle Vertex_handle;
+ typedef typename LinkType::Root_vertex_handle Root_vertex_handle;
+ typedef typename LinkType::Simplex_handle Simplex_handle;
+ typedef Complex_edge_iterator<Complex> Complex_edge_iterator_;
+
+ const Complex* complex_;
+ Vertex_handle v_;
+ std::shared_ptr<LinkType> link_;
+ Complex_edge_iterator_ current_edge_;
+ bool is_end_;
+public:
+ Triangle_around_vertex_iterator(const Complex* complex,Vertex_handle v):
+ complex_(complex),v_(v),link_(new LinkType(*complex,v_)),
+ current_edge_(link_->edge_range().begin()),
+ is_end_(current_edge_ == link_->edge_range().end()){
+ }
+
+ /**
+ * @brief ugly hack to get an iterator to the end
+ */
+ Triangle_around_vertex_iterator(const Complex* complex,Vertex_handle v,bool is_end):
+ complex_(complex),v_(v),link_(0),is_end_(true){
+ }
+
+ /**
+ * @brief ugly hack to get an iterator to the end
+ */
+ Triangle_around_vertex_iterator():
+ complex_(0),v_(-1),link_(0),is_end_(true){
+ }
+
+
+ Triangle_around_vertex_iterator(const Triangle_around_vertex_iterator& other){
+ v_ = other.v_;
+ complex_ = other.complex_;
+ is_end_ = other.is_end_;
+
+ if(!is_end_){
+ link_ = other.link_;
+ current_edge_= other.current_edge_;
+ }
+ }
+
+ bool equal(const Triangle_around_vertex_iterator& other) const{
+ return (complex_==other.complex_) && ((finished() &&other.finished()) || current_edge_ == other.current_edge_);
+ }
+
+ Simplex_handle dereference() const{
+ Root_vertex_handle v1 = (*link_)[*current_edge_].first();
+ Root_vertex_handle v2 = (*link_)[*current_edge_].second();
+ return Simplex_handle(v_,*(complex_->get_address(v1)),*(complex_->get_address(v2)));
+ }
+
+ void increment(){
+ ++current_edge_;
+ }
+
+private:
+ bool finished() const{
+ return is_end_ || (current_edge_ == link_->edge_range().end());
+ }
+
+};
+
+
+
+/**
+ * \brief Iterator over the triangles of the
+ * simplicial complex.
+ * \remark Will be removed soon -> dont look
+ *
+ */
+template<typename SkeletonBlockerComplex>
+class Triangle_iterator :
+ public boost::iterator_facade<
+ Triangle_iterator <SkeletonBlockerComplex>,
+ typename SkeletonBlockerComplex::Simplex_handle const
+ , boost::forward_traversal_tag
+ , typename SkeletonBlockerComplex::Simplex_handle const
+ >
+{
+ friend class boost::iterator_core_access;
+private:
+ typedef typename SkeletonBlockerComplex::Vertex_handle Vertex_handle;
+ typedef typename SkeletonBlockerComplex::Root_vertex_handle Root_vertex_handle;
+ typedef typename SkeletonBlockerComplex::Simplex_handle Simplex_handle;
+ typedef typename SkeletonBlockerComplex::Superior_triangle_around_vertex_iterator STAVI;
+
+ const SkeletonBlockerComplex* complex_;
+ Complex_vertex_iterator<SkeletonBlockerComplex> current_vertex_;
+ STAVI current_triangle_;
+ bool is_end_;
+public:
+
+ /*
+ * @remark assume that the complex is non-empty
+ */
+ Triangle_iterator(const SkeletonBlockerComplex* complex):
+ complex_(complex),
+ current_vertex_(complex->vertex_range().begin()),
+ current_triangle_(complex,*current_vertex_), // xxx this line is problematic is the complex is empty
+ is_end_(false){
+
+ assert(!complex->empty());
+ gotoFirstTriangle();
+ }
+
+private:
+ //goto to the first triangle or to the end if none
+ void gotoFirstTriangle(){
+ if(!is_finished() && current_triangle_.finished()){
+ goto_next_vertex();
+ }
+ }
+public:
+
+ /**
+ * @brief ugly hack to get an iterator to the end
+ * @remark assume that the complex is non-empty
+ */
+ Triangle_iterator(const SkeletonBlockerComplex* complex,bool is_end):
+ complex_(complex),
+ current_vertex_(complex->vertex_range().end()),
+ current_triangle_(), // xxx this line is problematic is the complex is empty
+ is_end_(true){
+ }
+
+
+ Triangle_iterator& operator=(const Triangle_iterator & other){
+ complex_ = other.complex_;
+ Complex_vertex_iterator<SkeletonBlockerComplex> current_vertex_;
+ STAVI current_triangle_;
+ return *this;
+ }
+
+
+ bool equal(const Triangle_iterator& other) const{
+ bool both_are_finished = is_finished() && other.is_finished();
+ bool both_arent_finished = !is_finished() && !other.is_finished();
+ // if the two iterators are not finished, they must have the same state
+ return (complex_==other.complex_) &&
+ (both_are_finished ||
+ ( (both_arent_finished) && current_vertex_ == other.current_vertex_ && current_triangle_ == other.current_triangle_));
+
+ }
+
+ Simplex_handle dereference() const{
+ return *current_triangle_;
+ }
+
+private:
+
+ // goto the next vertex that has a triangle pending or the
+ // end vertex iterator if none exists
+ void goto_next_vertex(){
+ assert(current_triangle_.finished()); //we mush have consume all triangles passing through the vertex
+ assert(!is_finished()); // we must not be done
+
+ ++current_vertex_;
+
+ if(!is_finished()){
+ current_triangle_ = STAVI(complex_, *current_vertex_);
+ if(current_triangle_.finished())
+ goto_next_vertex();
+ }
+ }
+public:
+ void increment(){
+ if(!current_triangle_.finished()){
+ ++current_triangle_; // problem here
+ if(current_triangle_.finished())
+ goto_next_vertex();
+ }
+ else{
+ assert(!is_finished());
+ goto_next_vertex();
+ }
+ }
+
+private:
+ bool is_finished() const{
+ return is_end_ || current_vertex_ == complex_->vertex_range().end();
+ }
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* GUDHI_SKELETON_BLOCKERS_TRIANGLES_ITERATORS_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_vertices_iterators.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_vertices_iterators.h
new file mode 100644
index 00000000..875e915a
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker/iterators/Skeleton_blockers_vertices_iterators.h
@@ -0,0 +1,168 @@
+/*
+ * Skeleton_blockers_iterators_out.h
+ *
+ * Created on: Aug 25, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_VERTICES_ITERATORS_H_
+#define GUDHI_SKELETON_BLOCKERS_VERTICES_ITERATORS_H_
+
+#include "boost/iterator/iterator_facade.hpp"
+
+
+namespace Gudhi{
+
+namespace skbl {
+
+/**
+ *@brief Iterator on the vertices of a simplicial complex
+ *@remark The increment operator go to the next active vertex.
+ *@remark Incrementation increases Vertex_handle.
+ */
+template<typename SkeletonBlockerComplex>
+class Complex_vertex_iterator : public boost::iterator_facade
+< Complex_vertex_iterator <SkeletonBlockerComplex>
+ , typename SkeletonBlockerComplex::Vertex_handle const
+ , boost::forward_traversal_tag
+ , typename SkeletonBlockerComplex::Vertex_handle const
+ >
+{
+ friend class boost::iterator_core_access;
+
+ typedef typename SkeletonBlockerComplex::boost_vertex_iterator boost_vertex_iterator;
+ typedef typename SkeletonBlockerComplex::Vertex_handle Vertex_handle;
+private:
+ const SkeletonBlockerComplex* complex;
+ std::pair<boost_vertex_iterator,boost_vertex_iterator> vertexIterator;
+
+
+public:
+ Complex_vertex_iterator():complex(NULL){
+ }
+
+ Complex_vertex_iterator(const SkeletonBlockerComplex* complex_):
+ complex(complex_),
+ vertexIterator(vertices(complex_->skeleton)){
+ if(!finished() && !is_active()) {
+ goto_next_valid();
+ }
+ }
+
+ /**
+ * return an iterator to the end.
+ */
+ Complex_vertex_iterator(const SkeletonBlockerComplex* complex_,int end):
+ complex(complex_),vertexIterator(vertices(complex_->skeleton)){
+ vertexIterator.first = vertexIterator.second ;
+ }
+
+public:
+ void increment () {goto_next_valid();}
+ Vertex_handle dereference() const {
+ return(Vertex_handle(*(vertexIterator.first)));
+ }
+
+ bool equal(const Complex_vertex_iterator& other) const{
+ return vertexIterator == other.vertexIterator && complex == other.complex;
+ }
+
+ bool operator<(const Complex_vertex_iterator& other) const{
+ return dereference()<other.dereference();
+ }
+
+private:
+ bool finished() const{
+ return vertexIterator.first == vertexIterator.second;
+ }
+
+ void goto_next_valid(){
+ ++vertexIterator.first;
+ if(!finished() && !is_active()){
+ goto_next_valid();
+ }
+ }
+
+ bool is_active() const{
+ return ((*complex)[Vertex_handle(*vertexIterator.first)]).is_active();
+ }
+
+};
+
+
+
+
+template<typename SkeletonBlockerComplex>
+class Complex_neighbors_vertices_iterator
+: public boost::iterator_facade < Complex_neighbors_vertices_iterator<SkeletonBlockerComplex>
+ , typename SkeletonBlockerComplex::Vertex_handle const
+ , boost::forward_traversal_tag
+ , typename SkeletonBlockerComplex::Vertex_handle const
+ >
+{
+ friend class boost::iterator_core_access;
+
+ typedef SkeletonBlockerComplex Complex;
+ typedef typename Complex::boost_adjacency_iterator boost_adjacency_iterator;
+ typedef typename Complex::Vertex_handle Vertex_handle;
+ typedef typename Complex::Edge_handle Edge_handle;
+
+private:
+
+ const Complex* complex;
+ Vertex_handle v;
+
+ boost_adjacency_iterator current_;
+ boost_adjacency_iterator end_;
+
+public:
+ // boost_adjacency_iterator ai, ai_end;
+ // for (tie(ai, ai_end) = adjacent_vertices(v.vertex, skeleton); ai != ai_end; ++ai){
+
+ Complex_neighbors_vertices_iterator():complex(NULL){
+ }
+
+ Complex_neighbors_vertices_iterator(const Complex* complex_,Vertex_handle v_):
+ complex(complex_),
+ v(v_){
+ tie(current_,end_) = adjacent_vertices(v.vertex, complex->skeleton);
+ }
+
+ /**
+ * returns an iterator to the end
+ */
+ Complex_neighbors_vertices_iterator(const Complex* complex_,Vertex_handle v_,int end):
+ complex(complex_),
+ v(v_){
+ tie(current_,end_) = adjacent_vertices(v.vertex, complex->skeleton);
+ set_end();
+ }
+
+
+ void increment () {
+ if(current_ != end_)
+ ++current_;
+ }
+
+ Vertex_handle dereference() const {
+ return(Vertex_handle(*current_));
+ }
+
+ bool equal(const Complex_neighbors_vertices_iterator& other) const{
+ return (complex== other.complex) && (v == other.v) && (current_ == other.current_) && (end_ == other.end_);
+ }
+
+private:
+ //todo remove this ugly hack
+ void set_end(){
+ current_ = end_;
+ }
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* GUDHI_SKELETON_BLOCKERS_VERTICES_ITERATORS_H_ */
+
+
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_complex.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_complex.h
new file mode 100644
index 00000000..b4c1cd9e
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_complex.h
@@ -0,0 +1,1422 @@
+/*
+ * Skeleton_blocker_complex.h
+ *
+ * Created on: Jan, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKER_COMPLEX_H
+#define GUDHI_SKELETON_BLOCKER_COMPLEX_H
+
+
+#include <map>
+#include <list>
+#include <set>
+#include <vector>
+#include <iostream>
+#include <string>
+#include <fstream>
+#include <sstream>
+#include <memory>
+#include <boost/graph/adjacency_list.hpp>
+#include <boost/graph/connected_components.hpp>
+#include <boost/iterator/transform_iterator.hpp>
+#include <boost/range/adaptor/map.hpp>
+
+#include "gudhi/Skeleton_blocker/iterators/Skeleton_blockers_iterators.h"
+#include "gudhi/Skeleton_blocker_link_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simplex.h"
+
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_complex_visitor.h"
+#include "gudhi/Skeleton_blocker/internal/Top_faces.h"
+#include "gudhi/Utils.h"
+
+
+namespace Gudhi {
+
+namespace skbl {
+
+
+/**
+ *@class Skeleton_blocker_complex
+ *@brief Abstract Simplicial Complex represented with a skeleton/blockers pair.
+ *
+ * A simplicial complex is completely defined by :
+ * - the graph of its 1-skeleton;
+ * - its set of blockers.
+ *
+ * The graph is a boost graph templated with SkeletonBlockerDS::Graph_vertex and SkeletonBlockerDS::Graph_edge.
+ *
+ * One can accesses to vertices via SkeletonBlockerDS::Vertex_handle, to edges via Skeleton_blocker_complex::Edge_handle and
+ * simplices via Skeleton_blocker_simplex<Vertex_handle>.
+ *
+ * The SkeletonBlockerDS::Root_vertex_handle serves in the case of a subcomplex (see class Skeleton_blocker_sub_complex)
+ * to access to the address of one vertex in the parent complex.
+ *
+ * @todo TODO Simplex_handle are not classic handle
+ *
+ */
+template<class SkeletonBlockerDS>
+class Skeleton_blocker_complex
+{
+ template<class ComplexType> friend class Complex_vertex_iterator;
+ template<class ComplexType> friend class Complex_neighbors_vertices_iterator;
+ template<class ComplexType> friend class Complex_edge_iterator;
+ template<class ComplexType> friend class Complex_edge_around_vertex_iterator;
+
+
+ template<class ComplexType> friend class Skeleton_blocker_link_complex;
+ template<class ComplexType> friend class Skeleton_blocker_link_superior;
+ template<class ComplexType> friend class Skeleton_blocker_sub_complex;
+
+public:
+
+
+ typedef typename SkeletonBlockerDS::Graph_vertex Graph_vertex;
+ typedef typename SkeletonBlockerDS::Graph_edge Graph_edge;
+
+ typedef typename SkeletonBlockerDS::Root_vertex_handle Root_vertex_handle;
+ typedef typename SkeletonBlockerDS::Vertex_handle Vertex_handle;
+ typedef typename Root_vertex_handle::boost_vertex_handle boost_vertex_handle;
+
+
+ typedef Skeleton_blocker_simplex<Vertex_handle> Simplex_handle;
+ typedef Skeleton_blocker_simplex<Root_vertex_handle> Root_simplex_handle;
+
+
+ typedef Simplex_handle* Blocker_handle;
+
+
+
+ typedef typename Root_simplex_handle::Simplex_vertex_const_iterator Root_simplex_iterator;
+ typedef typename Simplex_handle::Simplex_vertex_const_iterator Simplex_handle_iterator;
+
+
+protected:
+
+ typedef typename boost::adjacency_list
+ < boost::setS, //edges
+ boost::vecS, // vertices
+ boost::undirectedS,
+ Graph_vertex,
+ Graph_edge
+ > Graph;
+ //todo/remark : edges are not sorted, it heavily penalizes computation for SuperiorLink
+ // (eg Link with greater vertices)
+ // that burdens simplex iteration / complex initialization via list of simplices.
+ // to avoid that, one should modify the graph by storing two lists of adjacency for every
+ // vertex, the one with superior and the one with lower vertices, that way there is
+ // no more extra cost for computation of SuperiorLink
+ typedef typename boost::graph_traits<Graph>::vertex_iterator boost_vertex_iterator;
+ typedef typename boost::graph_traits<Graph>::edge_iterator boost_edge_iterator;
+
+protected:
+ typedef typename boost::graph_traits<Graph>::adjacency_iterator boost_adjacency_iterator;
+
+public:
+ /**
+ * Handle to an edge of the complex.
+ */
+ typedef typename boost::graph_traits<Graph>::edge_descriptor Edge_handle;
+
+
+
+ typedef std::multimap<Vertex_handle,Simplex_handle *> BlockerMap;
+ typedef typename std::multimap<Vertex_handle,Simplex_handle *>::value_type BlockerPair;
+ typedef typename std::multimap<Vertex_handle,Simplex_handle *>::iterator BlockerMapIterator;
+ typedef typename std::multimap<Vertex_handle,Simplex_handle *>::const_iterator BlockerMapConstIterator;
+
+protected:
+ int num_vertices_;
+ int num_blockers_;
+
+ typedef Skeleton_blocker_complex_visitor<Vertex_handle> Visitor;
+ // typedef Visitor* Visitor_ptr;
+ Visitor* visitor;
+
+ /**
+ * @details If 'x' is a Vertex_handle of a vertex in the complex then degree[x] = d is its degree.
+ *
+ * This quantity is updated when adding/removing edge.
+ *
+ * This is useful because the operation
+ * list.size() is done in linear time.
+ */
+ std::vector<boost_vertex_handle> degree_;
+ Graph skeleton; /** 1-skeleton of the simplicial complex. */
+
+
+ //todo remove!!!
+public:
+
+ /** Each vertex can access to the blockers passing through it. */
+ BlockerMap blocker_map_;
+
+
+
+
+public:
+
+
+
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Constructors / Destructors / Initialization
+ */
+ //@{
+ Skeleton_blocker_complex(int num_vertices_ = 0,Visitor* visitor_=NULL):visitor(visitor_){
+ clear();
+ for (int i=0; i<num_vertices_; ++i){
+ add_vertex();
+ }
+ }
+
+private:
+
+ /**
+ * this nested class is used for the next constructor that takes as an input a list of simplices.
+ * It stores a vector where the ith cell contains a set of i-simplices
+ *
+ */
+ class Simplices_sets_from_list{
+ private:
+ typedef std::set< Simplex_handle> Container_simplices;
+ typedef typename Container_simplices::iterator Simplices_iterator;
+ int dimension_;
+ std::vector<Container_simplices > simplices_;
+
+ public:
+ Simplices_sets_from_list(std::list<Simplex_handle>& simplices):
+ dimension_(-1){
+ assert(!simplices.empty());
+
+ for(auto simplex = simplices.begin() ; simplex != simplices.end(); ++simplex ){
+ dimension_ = std::max(dimension_,(int)simplex->dimension());
+ }
+ simplices_ = std::vector<Container_simplices >(dimension_+1);
+
+ // compute k-simplices
+ for(auto simplex = simplices.begin() ; simplex != simplices.end(); ++simplex ){
+ simplices_[simplex->dimension()].insert(*simplex);
+ }
+ }
+
+ Simplices_iterator begin(int k){
+ assert(0<= k && k<= dimension_);
+ return simplices_[k].begin();
+ }
+
+ Simplices_iterator end(int k){
+ assert(0<= k && k<= dimension_);
+ return simplices_[k].end();
+ }
+
+
+ Container_simplices& simplices(int k){
+ return simplices_[k];
+ }
+
+ int dimension(){
+ return dimension_;
+ }
+
+ bool contains(const Simplex_handle& simplex) const{
+ if(simplex.dimension()>dimension_)
+ return false;
+ else
+ return simplices_[simplex.dimension()].find(simplex)!= simplices_[simplex.dimension()].end();
+ }
+
+ void print(){
+ for(int i = 0; i < dimension_; ++i){
+ std::cout << i<<"-simplices"<<std::endl;
+ auto l = simplices_[i];
+ for(auto s : l){
+ std::cout << s<<std::endl;
+ }
+ }
+ }
+ };
+
+
+ void compute_next_expand(
+ Simplices_sets_from_list& simplices,
+ int dim,
+ std::list<Simplex_handle>& next_expand)
+ {
+ next_expand.clear();
+
+ // high_resolution_clock::time_point tbeginfor = high_resolution_clock::now();
+ // auto durationlooplink = std::chrono::duration_cast<std::chrono::microseconds>( tbeginfor - tbeginfor ).count();
+
+ for(auto sigma = simplices.begin(dim); sigma != simplices.end(dim); ++sigma){
+ // high_resolution_clock::time_point tbeg = high_resolution_clock::now();
+ Simplex_handle t(*sigma);
+ Skeleton_blocker_link_superior<Skeleton_blocker_complex> link(*this,t);
+ // xxx all time here, most likely because accessing superior edges needs passing through lower one
+ // currently
+
+ // durationlooplink += std::chrono::duration_cast<std::chrono::microseconds>( high_resolution_clock::now() - tbeg ).count();
+
+ for(auto v : link.vertex_range()){
+ Vertex_handle v_in_complex(*this->get_address( link.get_id(v)) );
+ t.add_vertex(v_in_complex);
+ next_expand.push_back(t);
+ t.remove_vertex(v_in_complex);
+ }
+ }
+ // high_resolution_clock::time_point t2 = high_resolution_clock::now();
+ // auto durationlooptotal = std::chrono::duration_cast<std::chrono::microseconds>( t2 - tbeginfor ).count();
+ // DBGVALUE(durationlooptotal);
+ // DBGVALUE(durationlooplink);
+ }
+
+
+
+public:
+ /**
+ * @brief Constructor with a list of simplices
+ * @details The list of simplices must be the list
+ * of simplices of a simplicial complex.
+ *todo rewrite as iterators
+ */
+ Skeleton_blocker_complex(std::list<Simplex_handle>& simplices,Visitor* visitor_=NULL):
+ num_vertices_(0),num_blockers_(0),
+ visitor(visitor_){
+ Simplices_sets_from_list set_simplices(simplices);
+
+ int dim = set_simplices.dimension();
+
+
+ // add 1-skeleton to the complex
+ for(auto v_it = set_simplices.begin(0); v_it != set_simplices.end(0); ++v_it)
+ add_vertex();
+
+ for(auto e_it = set_simplices.begin(1); e_it != set_simplices.end(1); ++e_it){
+ Vertex_handle a = e_it->first_vertex();
+ Vertex_handle b = e_it->last_vertex();
+ assert(contains_vertex(a) && contains_vertex(b));
+ add_edge(a,b);
+ }
+
+ // then add blockers
+ for(int current_dim = 1 ; current_dim <=dim ; ++current_dim){
+ std::list<Simplex_handle> expansion_simplices;
+ compute_next_expand(set_simplices,current_dim,expansion_simplices);
+
+ for(const auto &simplex : expansion_simplices) {
+ if(!set_simplices.contains(simplex)){
+ add_blocker(simplex);
+ }
+ }
+ }
+ }
+
+
+
+ // We cannot use the default copy constructor since we need
+ // to make a copy of each of the blockers
+ Skeleton_blocker_complex(const Skeleton_blocker_complex& copy){
+ visitor = NULL;
+ degree_ = copy.degree_;
+ skeleton = Graph(copy.skeleton);
+ num_vertices_ = copy.num_vertices_;
+
+ num_blockers_ = 0;
+ // we copy the blockers
+ for (auto blocker : copy.const_blocker_range()){
+ add_blocker(*blocker);
+ }
+ }
+
+ Skeleton_blocker_complex& operator=(const Skeleton_blocker_complex& copy){
+ clear();
+ visitor = NULL;
+ degree_ = copy.degree_;
+ skeleton = Graph(copy.skeleton);
+ num_vertices_ = copy.num_vertices_;
+
+ num_blockers_ = 0;
+ // we copy the blockers
+ for (auto blocker : copy.const_blocker_range())
+ add_blocker(*blocker);
+ return *this;
+ }
+
+
+ /**
+ * The destructor delete all blockers allocated.
+ */
+ virtual ~Skeleton_blocker_complex(){
+ clear();
+ }
+
+ /**
+ * Clears the simplicial complex. After a call to this function,
+ * blockers are destroyed. The 1-skeleton and the set of blockers
+ * are both empty.
+ */
+ virtual void clear(){
+ // xxx for now the responsabilty of freeing the visitor is for
+ // the user
+ visitor = NULL;
+
+ degree_.clear();
+ num_vertices_ =0;
+
+ remove_blockers();
+
+ skeleton.clear();
+ }
+
+ void set_visitor(Visitor* other_visitor){
+ visitor = other_visitor;
+ }
+
+ //@}
+
+
+
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Vertices operations
+ */
+ //@{
+
+public:
+
+ /**
+ * @brief Return a local Vertex_handle of a vertex given a global one.
+ * @remark Assume that the vertex is present in the complex.
+ */
+ Vertex_handle operator[](Root_vertex_handle global) const{
+ auto local(get_address(global));
+ assert(local);
+ return *local;
+ }
+
+ Graph_vertex& operator[](Vertex_handle address){
+ assert(0<=address.vertex && address.vertex< boost::num_vertices(skeleton));
+ return skeleton[address.vertex];
+ }
+
+ const Graph_vertex& operator[](Vertex_handle address) const{
+ assert(0<=address.vertex && address.vertex< boost::num_vertices(skeleton));
+ return skeleton[address.vertex];
+ }
+
+ /**
+ * @brief Adds a vertex to the simplicial complex and returns its Vertex_handle.
+ */
+ Vertex_handle add_vertex(){
+ Vertex_handle address(boost::add_vertex(skeleton));
+ num_vertices_++;
+ (*this)[address].activate();
+ // safe since we now that we are in the root complex and the field 'address' and 'id'
+ // are identical for every vertices
+ (*this)[address].set_id(Root_vertex_handle(address.vertex));
+ degree_.push_back(0);
+ if (visitor) visitor->on_add_vertex(address);
+ return address;
+ }
+
+
+ /**
+ * @brief Remove a vertex from the simplicial complex
+ * @remark In fact, it just deactivates the vertex.
+ */
+ void remove_vertex(Vertex_handle address){
+ assert(contains_vertex(address));
+ // We remove b
+ boost::clear_vertex(address.vertex,skeleton);
+ (*this)[address].deactivate();
+ num_vertices_--;
+ degree_[address.vertex]=-1;
+ if (visitor) visitor->on_remove_vertex(address);
+ }
+
+ /**
+ * @return true iff the simplicial complex contains the vertex u
+ */
+ bool contains_vertex(Vertex_handle u) const{
+ if (u.vertex<0 || u.vertex>=boost::num_vertices(skeleton)) return false;
+ return (*this)[u].is_active();
+ }
+
+ /**
+ * @return true iff the simplicial complex contains the vertex u
+ */
+ bool contains_vertex(Root_vertex_handle u) const{
+ boost::optional<Vertex_handle> address = get_address(u);
+ return address && (*this)[*address].is_active();
+ }
+
+
+ /**
+ * @return true iff the simplicial complex contains all vertices
+ * of simplex sigma
+ */
+ bool contains_vertices(const Simplex_handle & sigma) const{
+ for (auto vertex : sigma)
+ if(!contains_vertex(vertex)) return false;
+ return true;
+ }
+
+ /**
+ * Given an Id return the address of the vertex having this Id in the complex.
+ * For a simplicial complex, the address is the id but it may not be the case for a SubComplex.
+ *
+ */
+ virtual boost::optional<Vertex_handle> get_address(Root_vertex_handle id) const{
+ boost::optional<Vertex_handle> res;
+ if ( id.vertex< boost::num_vertices(skeleton) ) res = Vertex_handle(id.vertex);//xxx
+ return res;
+ }
+
+
+
+ /**
+ * return the id of a vertex of adress local present in the graph
+ */
+ Root_vertex_handle get_id(Vertex_handle local) const{
+ assert(0<=local.vertex && local.vertex< boost::num_vertices(skeleton));
+ return (*this)[local].get_id();
+ }
+
+
+ /**
+ * If the current complex is a sub (or sup) complex of 'other', it converts
+ * the address of a vertex v expressed in 'other' to the address of the vertex
+ * v in the current one.
+ * @remark this methods uses Root_vertex_handle to identify the vertex
+ */
+ Vertex_handle convert_handle_from_another_complex(
+ const Skeleton_blocker_complex& other,Vertex_handle vh_in_other) const{
+ auto vh_in_current_complex = get_address(other.get_id(vh_in_other));
+ assert(vh_in_current_complex);
+ return *vh_in_current_complex;
+ }
+
+
+ int degree(Vertex_handle local) const{
+ assert(0<=local.vertex && local.vertex< boost::num_vertices(skeleton));
+ return degree_[local.vertex];
+ }
+
+ //@}
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Edges operations
+ */
+ //@{
+
+public:
+
+ /**
+ * @brief return an edge handle if the two vertices forms
+ * an edge in the complex
+ */
+ boost::optional<Edge_handle> operator[](const std::pair<Vertex_handle,Vertex_handle>& ab) const{
+ boost::optional<Edge_handle> res;
+ std::pair<Edge_handle,bool> edge_pair(boost::edge(ab.first.vertex,ab.second.vertex,skeleton));
+ if (edge_pair.second)
+ res = edge_pair.first;
+ return res;
+ }
+
+ Graph_edge& operator[](Edge_handle edge_handle){
+ return skeleton[edge_handle];
+ }
+
+ const Graph_edge& operator[](Edge_handle edge_handle) const{
+ return skeleton[edge_handle];
+ }
+
+ Vertex_handle first_vertex(Edge_handle edge_handle) const{
+ return source(edge_handle,skeleton);
+ }
+
+ Vertex_handle second_vertex(Edge_handle edge_handle) const{
+ return target(edge_handle,skeleton);
+ }
+
+ /**
+ * @brief returns the simplex made with the two vertices of the edge
+ */
+ Simplex_handle get_vertices(Edge_handle edge_handle) const{
+ auto edge((*this)[edge_handle]);
+ return Simplex_handle((*this)[edge.first()],(*this)[edge.second()]);
+ }
+
+ /**
+ * @brief Adds an edge between vertices a and b
+ */
+ Edge_handle add_edge(Vertex_handle a, Vertex_handle b){
+ assert(contains_vertex(a) && contains_vertex(b));
+ assert(a!=b);
+
+ auto edge_handle((*this)[std::make_pair(a,b)]);
+ // std::pair<Edge_handle,bool> pair_descr_bool = (*this)[std::make_pair(a,b)];
+ // Edge_handle edge_descr;
+ // bool edge_present = pair_descr_bool.second;
+ if (!edge_handle)
+ {
+ edge_handle = boost::add_edge(a.vertex,b.vertex,skeleton).first;
+ (*this)[*edge_handle].setId(get_id(a),get_id(b));
+ degree_[a.vertex]++;
+ degree_[b.vertex]++;
+ if (visitor) visitor->on_add_edge(a,b);
+ }
+ return *edge_handle;
+ }
+
+ /**
+ * @brief Adds all edges of simplex sigma to the simplicial complex.
+ */
+ void add_edges(const Simplex_handle & sigma){
+ Simplex_handle_iterator i, j;
+ for (i = sigma.begin() ; i != sigma.end() ; ++i)
+ for (j = i, j++ ; j != sigma.end() ; ++j)
+ add_edge(*i,*j);
+ }
+
+ /**
+ * @brief Removes edge ab from the simplicial complex.
+ */
+ virtual Edge_handle remove_edge(Vertex_handle a, Vertex_handle b){
+ bool found;
+ Edge_handle edge;
+ tie(edge,found) = boost::edge(a.vertex,b.vertex,skeleton);
+ if (found)
+ {
+ if (visitor) visitor->on_remove_edge(a,b);
+ // if (heapCollapse.Contains(edge)) heapCollapse.Delete(edge);
+ boost::remove_edge(a.vertex,b.vertex,skeleton);
+ degree_[a.vertex]--;
+ degree_[b.vertex]--;
+ }
+ return edge;
+ }
+
+
+ /**
+ * @brief Removes edge from the simplicial complex.
+ */
+ void remove_edge(Edge_handle edge){
+ assert(contains_vertex(first_vertex(edge)));
+ assert(contains_vertex(second_vertex(edge)));
+ remove_edge(first_vertex(edge),second_vertex(edge));
+ }
+
+
+ /**
+ * @brief The complex is reduced to its set of vertices.
+ * All the edges and blockers are removed.
+ */
+ void keep_only_vertices(){
+ remove_blockers();
+
+ for(auto u : vertex_range()){
+ while (this->degree(u)> 0)
+ {
+ Vertex_handle v(*(adjacent_vertices(u.vertex, this->skeleton).first));
+ this->remove_edge(u,v);
+ }
+ }
+ }
+
+
+ /**
+ * @return true iff the simplicial complex contains an edge between
+ * vertices a and b
+ */
+ bool contains_edge(Vertex_handle a, Vertex_handle b) const{
+ //if (a.vertex<0 || b.vertex <0) return false;
+ return boost::edge(a.vertex,b.vertex,skeleton).second;
+ }
+
+
+ /**
+ * @return true iff the simplicial complex contains all vertices
+ * and all edges of simplex sigma
+ */
+ bool contains_edges(const Simplex_handle & sigma) const{
+ for (auto i = sigma.begin() ; i != sigma.end() ; ++i){
+ if(!contains_vertex(*i)) return false;
+ for (auto j=i; ++j != sigma.end() ; ){
+ if (!contains_edge(*i,*j))
+ return false;
+ }
+ }
+ return true;
+ }
+ //@}
+
+
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Blockers operations
+ */
+ //@{
+ /**
+ * Adds the 2-blocker abc
+ */
+ void add_blocker(Vertex_handle a, Vertex_handle b, Vertex_handle c){
+ add_blocker(Simplex_handle(a,b,c));
+ }
+
+ /**
+ * Adds the 3-blocker abcd
+ */
+ void add_blocker(Vertex_handle a, Vertex_handle b, Vertex_handle c, Vertex_handle d){
+ add_blocker(Simplex_handle(a,b,c,d));
+ }
+
+ /**
+ * Adds the simplex blocker_pt to the set of blockers and
+ * returns a Blocker_handle toward it if was not present before.
+ */
+ Blocker_handle add_blocker(const Simplex_handle& blocker){
+ if (contains_blocker(blocker))
+ {
+ //std::cerr << "ATTEMPT TO ADD A BLOCKER ALREADY THERE ---> BLOCKER IGNORED" << endl;
+ return 0;
+ }
+ else{
+ if (visitor) visitor->on_add_blocker(blocker);
+ Blocker_handle blocker_pt = new Simplex_handle(blocker);
+ num_blockers_++;
+ auto vertex = blocker_pt->begin();
+ while(vertex != blocker_pt->end())
+ {
+ blocker_map_.insert(BlockerPair(*vertex,blocker_pt));
+ ++vertex;
+ }
+ return blocker_pt;
+ }
+ }
+
+protected:
+ /**
+ * Adds the simplex s to the set of blockers
+ */
+ void add_blocker(Blocker_handle blocker){
+ if (contains_blocker(*blocker))
+ {
+ //std::cerr << "ATTEMPT TO ADD A BLOCKER ALREADY THERE ---> BLOCKER IGNORED" << endl;
+ return;
+ }
+ else{
+ if (visitor) visitor->on_add_blocker(*blocker);
+ num_blockers_++;
+ auto vertex = blocker->begin();
+ while(vertex != blocker->end())
+ {
+ blocker_map_.insert(BlockerPair(*vertex,blocker));
+ ++vertex;
+ }
+ }
+ }
+
+
+protected:
+ /**
+ * Removes sigma from the blocker map of vertex v
+ */
+ void remove_blocker(const Blocker_handle sigma, Vertex_handle v){
+ Complex_blocker_around_vertex_iterator blocker;
+ for (blocker = blocker_range(v).begin();
+ blocker != blocker_range(v).end();
+ ++blocker
+ ){
+ if (*blocker == sigma) break;
+ }
+ if (*blocker != sigma){
+ std::cerr << "bug ((*blocker).second == sigma) ie try to remove a blocker not present\n";
+ assert(false);
+ }
+ else{
+ blocker_map_.erase(blocker.current_position());
+ }
+ }
+
+public:
+ /**
+ * Removes the simplex sigma from the set of blockers.
+ * sigma has to belongs to the set of blockers
+ */
+ void remove_blocker(const Blocker_handle sigma){
+ for (auto vertex : *sigma){
+ remove_blocker(sigma,vertex);
+ }
+ num_blockers_--;
+ }
+
+
+
+
+ /**
+ * Remove all blockers, in other words, it expand the simplicial
+ * complex to the smallest flag complex that contains it.
+ */
+ void remove_blockers(){
+ // Desallocate the blockers
+ while (!blocker_map_.empty()){
+ delete_blocker(blocker_map_.begin()->second);
+ }
+ num_blockers_ = 0;
+ blocker_map_.clear();
+ }
+
+protected:
+ /**
+ * Removes the simplex sigma from the set of blockers.
+ * sigma has to belongs to the set of blockers
+ *
+ * @remark contrarily to delete_blockers does not call the destructor
+ */
+ void remove_blocker(const Simplex_handle& sigma){
+ assert(contains_blocker(sigma));
+ for (auto vertex : sigma)
+ remove_blocker(sigma,vertex);
+ num_blockers_--;
+ }
+
+
+
+
+public:
+ /**
+ * Removes the simplex s from the set of blockers
+ * and desallocate s.
+ */
+ void delete_blocker(Blocker_handle sigma){
+ if (visitor) visitor->on_delete_blocker(sigma);
+ remove_blocker(sigma);
+ delete sigma;
+ }
+
+
+ /**
+ * @return true iff s is a blocker of the simplicial complex
+ */
+ bool contains_blocker(const Blocker_handle s) const{
+ if (s->dimension()<2)
+ return false;
+
+ Vertex_handle a = s->first_vertex();
+
+ for (auto blocker : const_blocker_range(a)){
+ if ( s == *blocker )
+ return true;
+ }
+ return false;
+ }
+
+ /**
+ * @return true iff s is a blocker of the simplicial complex
+ */
+ bool contains_blocker(const Simplex_handle & s) const{
+ if (s.dimension()<2)
+ return false;
+
+ Vertex_handle a = s.first_vertex();
+
+ for (auto blocker : const_blocker_range(a)){
+ if ( s == *blocker )
+ return true;
+ }
+ return false;
+ }
+
+
+private:
+ /**
+ * @return true iff a blocker of the simplicial complex
+ * is a face of sigma.
+ */
+ bool blocks(const Simplex_handle & sigma) const{
+
+ for(auto blocker : const_blocker_range()){
+ if ( sigma.contains(*blocker) )
+ return true;
+ }
+ return false;
+ }
+
+ //@}
+
+
+
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Neighbourhood access
+ */
+ //@{
+
+public:
+ /**
+ * @brief Adds to simplex n the neighbours of v:
+ * \f$ n \leftarrow n \cup N(v) \f$.
+ *
+ * If keep_only_superior is true then only vertices that are greater than v are added.
+ */
+ virtual void add_neighbours(Vertex_handle v, Simplex_handle & n,bool keep_only_superior=false) const{
+ boost_adjacency_iterator ai, ai_end;
+ for (tie(ai, ai_end) = adjacent_vertices(v.vertex, skeleton); ai != ai_end; ++ai){
+ if (keep_only_superior){
+ if (*ai>v.vertex)
+ n.add_vertex(Vertex_handle(*ai));
+ }
+ else
+ n.add_vertex(Vertex_handle(*ai));
+ }
+ }
+
+ /**
+ * @brief Add to simplex res all vertices which are
+ * neighbours of alpha: ie \f$ res \leftarrow res \cup N(alpha) \f$.
+ *
+ * If 'keep_only_superior' is true then only vertices that are greater than alpha are added.
+ *
+ * todo revoir
+ *
+ */
+ virtual void add_neighbours(const Simplex_handle &alpha, Simplex_handle & res,bool keep_only_superior=false) const{
+ res.clear();
+ // ----------------------------
+ // Compute vertices in the link
+ // we compute the intersection of N(alpha_i) and store it in n
+ // ----------------------------
+ auto alpha_vertex = alpha.begin();
+ add_neighbours(*alpha_vertex,res,keep_only_superior);
+ for (alpha_vertex = (alpha.begin())++ ; alpha_vertex != alpha.end() ; ++alpha_vertex)
+ {
+ keep_neighbours(*alpha_vertex,res,keep_only_superior);
+ }
+ }
+
+ /**
+ * @brief Eliminates from simplex n all vertices which are
+ * not neighbours of v: \f$ res \leftarrow res \cap N(v) \f$.
+ *
+ * If 'keep_only_superior' is true then only vertices that are greater than v are keeped.
+ *
+ */
+ virtual void keep_neighbours(Vertex_handle v, Simplex_handle& res,bool keep_only_superior=false) const{
+ Simplex_handle nv;
+ add_neighbours(v,nv,keep_only_superior);
+ res.intersection(nv);
+ }
+
+ /**
+ * @brief Eliminates from simplex n all vertices which are
+ * neighbours of v: \f$ res \leftarrow res \setminus N(v) \f$.
+ *
+ * If 'keep_only_superior' is true then only vertices that are greater than v are added.
+ *
+ */
+ virtual void remove_neighbours(Vertex_handle v, Simplex_handle & res,bool keep_only_superior=false) const{
+ Simplex_handle nv;
+ add_neighbours(v,nv,keep_only_superior);
+ res.difference(nv);
+ }
+ //@}
+
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Operations on the simplicial complex
+ */
+ //@{
+public:
+
+ /**
+ * @brief Compute the local vertices of 's' in the current complex
+ * If one of them is not present in the complex then the return value is uninitialized.
+ *
+ * xxx rename get_address et place un using dans sub_complex
+ */
+ boost::optional<Simplex_handle> get_simplex_address(const Root_simplex_handle& s) const
+ {
+ boost::optional<Simplex_handle> res;
+
+ Simplex_handle s_address;
+ //Root_simplex_const_iterator i;
+ for (auto i = s.begin() ; i != s.end() ; ++i)
+ {
+ boost::optional<Vertex_handle> address = get_address(*i);
+ if (!address)
+ return res;
+ else
+ s_address.add_vertex(*address);
+ }
+ res = s_address;
+ return res;
+ }
+
+ /**
+ * @brief returns a simplex with vertices which are the id of vertices of the
+ * argument.
+ */
+ Root_simplex_handle get_id(const Simplex_handle& local_simplex) const{
+ Root_simplex_handle global_simplex;
+ for (auto x = local_simplex.begin(); x!= local_simplex.end();++x){
+ global_simplex.add_vertex(get_id(*x));
+
+ }
+ return global_simplex;
+
+ }
+
+
+ /**
+ * @brief returns true iff the simplex s belongs to the simplicial
+ * complex.
+ */
+ virtual bool contains(const Simplex_handle & s) const{
+ if (s.dimension() == -1 ) return false;
+ else
+ if (s.dimension() ==0 ){
+ return contains_vertex(s.first_vertex());
+ }
+ else
+ return ( contains_edges(s) && !blocks(s) );
+ }
+
+ /*
+ * @brief returnrs true iff the complex is empty.
+ */
+ bool empty() const{
+ return num_vertices()==0;
+ }
+
+ /*
+ * @brief returns the number of vertices in the complex.
+ */
+ int num_vertices() const{
+ //remark boost::num_vertices(skeleton) counts deactivated vertices
+ return num_vertices_;
+ }
+
+ /*
+ * @brief returns the number of edges in the complex.
+ * todo in O(n), cache the value
+ */
+ int num_edges() const{
+ return boost::num_edges(skeleton);
+ }
+
+ /*
+ * @brief returns the number of blockers in the complex.
+ */
+ int num_blockers() const{
+ return num_blockers_;
+ }
+
+ /*
+ * @brief returns true iff the graph of the 1-skeleton of the complex is complete.
+ */
+ bool complete() const{
+ return (num_vertices()*(num_vertices()-1))/2 == num_edges();
+ }
+
+ /**
+ * @brief returns the number of connected components in the graph of the 1-skeleton.
+ */
+ int num_connected_components() const{
+ int num_vert_collapsed = skeleton.vertex_set().size() - num_vertices();
+ std::vector<int> component(skeleton.vertex_set().size());
+ return boost::connected_components(this->skeleton,&component[0]) - num_vert_collapsed;
+ }
+
+
+ //todo remove
+ // do
+ void keep_only_largest_cc(){
+ std::vector<unsigned> component(skeleton.vertex_set().size());
+ boost::connected_components(this->skeleton,&component[0]);
+ auto maxCC = min_element(component.begin(),component.end());
+ for (unsigned i = 0; i != component.size(); ++i){
+ if(component[i]!=*maxCC){
+ if(this->contains_vertex(Vertex_handle(i)))
+ this->remove_vertex(Vertex_handle(i));
+ }
+ }
+ }
+
+
+ /**
+ * @brief %Test if the complex is a cone.
+ * @details Runs in O(n) where n is the number of vertices.
+ */
+ bool is_cone() const{
+ if (num_vertices()==0) return false;
+ if (num_vertices()==1) return true;
+ for(auto vi : vertex_range()){
+ //xxx todo faire une methode bool is_in_blocker(Vertex_handle)
+ if (blocker_map_.find(vi)==blocker_map_.end()){
+ // no blocker passes through the vertex, we just need to
+ // check if the current vertex is linked to all others vertices of the complex
+ if (degree_[vi.vertex] == num_vertices()-1)
+ return true;
+ }
+ }
+ return false;
+ }
+
+ //@}
+
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Vertex iterators
+ */
+ //@{
+
+ typedef Complex_vertex_iterator<Skeleton_blocker_complex> CVI; //todo rename
+
+ // /**
+ // * @brief Range over the vertices of the simplicial complex.
+ // * Methods .begin() and .end() return a Complex_vertex_iterator.
+ // */
+ typedef boost::iterator_range < Complex_vertex_iterator<Skeleton_blocker_complex> > Complex_vertex_range;
+
+ /**
+ * @brief Returns a Complex_vertex_range over all vertices of the complex
+ */
+ Complex_vertex_range vertex_range() const
+ {
+ auto begin = Complex_vertex_iterator<Skeleton_blocker_complex>(this);
+ auto end = Complex_vertex_iterator<Skeleton_blocker_complex>(this,0);
+ return Complex_vertex_range(begin,end);
+ }
+
+ typedef boost::iterator_range < Complex_neighbors_vertices_iterator<Skeleton_blocker_complex> > Complex_neighbors_vertices_range;
+
+ /**
+ * @brief Returns a Complex_edge_range over all edges of the simplicial complex that passes trough v
+ */
+ Complex_neighbors_vertices_range vertex_range(Vertex_handle v) const
+ {
+ auto begin = Complex_neighbors_vertices_iterator<Skeleton_blocker_complex>(this,v);
+ auto end = Complex_neighbors_vertices_iterator<Skeleton_blocker_complex>(this,v,0);
+ return Complex_neighbors_vertices_range(begin,end);
+ }
+
+ //@}
+
+
+ /** @name Edge iterators
+ */
+ //@{
+
+
+ typedef boost::iterator_range <Complex_edge_iterator<Skeleton_blocker_complex<SkeletonBlockerDS>>>
+ Complex_edge_range;
+
+ /**
+ * @brief Returns a Complex_edge_range over all edges of the simplicial complex
+ */
+ Complex_edge_range edge_range() const
+ {
+ auto begin = Complex_edge_iterator<Skeleton_blocker_complex<SkeletonBlockerDS>>(this);
+ auto end = Complex_edge_iterator<Skeleton_blocker_complex<SkeletonBlockerDS>>(this,0);
+ return Complex_edge_range(begin,end);
+ }
+
+
+
+ typedef boost::iterator_range <Complex_edge_around_vertex_iterator<Skeleton_blocker_complex<SkeletonBlockerDS>>>
+ Complex_edge_around_vertex_range;
+ /**
+ * @brief Returns a Complex_edge_range over all edges of the simplicial complex that passes
+ * through 'v'
+ */
+ Complex_edge_around_vertex_range edge_range(Vertex_handle v) const
+ {
+ auto begin = Complex_edge_around_vertex_iterator<Skeleton_blocker_complex<SkeletonBlockerDS>>(this,v);
+ auto end = Complex_edge_around_vertex_iterator<Skeleton_blocker_complex<SkeletonBlockerDS>>(this,v,0);
+ return Complex_edge_around_vertex_range(begin,end);
+ }
+
+
+
+ //@}
+
+
+ /** @name Triangles iterators
+ */
+ //@{
+private:
+ typedef Skeleton_blocker_link_complex<Skeleton_blocker_complex<SkeletonBlockerDS> > Link;
+ typedef Skeleton_blocker_link_superior<Skeleton_blocker_complex<SkeletonBlockerDS> > Superior_link;
+public:
+ typedef Triangle_around_vertex_iterator<Skeleton_blocker_complex,Superior_link> Superior_triangle_around_vertex_iterator;
+
+ typedef boost::iterator_range < Triangle_around_vertex_iterator<Skeleton_blocker_complex,Link> > Complex_triangle_around_vertex_range;
+
+ /**
+ * @brief Range over triangles around a vertex of the simplicial complex.
+ * Methods .begin() and .end() return a Triangle_around_vertex_iterator.
+ *
+ */
+ Complex_triangle_around_vertex_range triangle_range(Vertex_handle v) const
+ {
+ auto begin = Triangle_around_vertex_iterator<Skeleton_blocker_complex,Link>(this,v);
+ auto end = Triangle_around_vertex_iterator<Skeleton_blocker_complex,Link>(this,v,0);
+ return Complex_triangle_around_vertex_range(begin,end);
+ }
+
+
+ typedef boost::iterator_range<Triangle_iterator<Skeleton_blocker_complex> > Complex_triangle_range;
+
+ /**
+ * @brief Range over triangles of the simplicial complex.
+ * Methods .begin() and .end() return a Triangle_around_vertex_iterator.
+ *
+ */
+ Complex_triangle_range triangle_range() const
+ {
+ auto end = Triangle_iterator<Skeleton_blocker_complex>(this,0);
+ if(empty()){
+ return Complex_triangle_range(end,end);
+ }
+ else{
+ auto begin = Triangle_iterator<Skeleton_blocker_complex>(this);
+ return Complex_triangle_range(begin,end);
+ }
+
+ }
+
+
+ //@}
+
+
+
+ /** @name Simplices iterators
+ */
+ //@{
+ typedef Simplex_around_vertex_iterator<Skeleton_blocker_complex,Link> Complex_simplex_around_vertex_iterator;
+
+ /**
+ * @brief Range over the simplices of the simplicial complex around a vertex.
+ * Methods .begin() and .end() return a Complex_simplex_around_vertex_iterator.
+ */
+ typedef boost::iterator_range < Complex_simplex_around_vertex_iterator > Complex_simplex_around_vertex_range;
+
+ /**
+ * @brief Returns a Complex_simplex_around_vertex_range over all the simplices around a vertex of the complex
+ */
+ Complex_simplex_around_vertex_range simplex_range(Vertex_handle v) const
+ {
+ assert(contains_vertex(v));
+ return Complex_simplex_around_vertex_range(
+ Complex_simplex_around_vertex_iterator(this,v),
+ Complex_simplex_around_vertex_iterator(this,v,true)
+ );
+ }
+
+ // typedef Simplex_iterator<Skeleton_blocker_complex,Superior_link> Complex_simplex_iterator;
+ typedef Simplex_iterator<Skeleton_blocker_complex> Complex_simplex_iterator;
+
+ typedef boost::iterator_range < Complex_simplex_iterator > Complex_simplex_range;
+
+ Complex_simplex_range simplex_range() const
+ {
+ Complex_simplex_iterator end(this,true);
+ if(empty()){
+ return Complex_simplex_range(end,end);
+ }
+ else{
+ Complex_simplex_iterator begin(this);
+ return Complex_simplex_range(begin,end);
+ }
+ }
+
+
+ //@}
+
+
+ /** @name Blockers iterators
+ */
+ //@{
+private:
+ /**
+ * @brief Iterator over the blockers adjacent to a vertex
+ */
+ typedef Blocker_iterator_around_vertex_internal<
+ typename std::multimap<Vertex_handle,Simplex_handle *>::iterator,
+ Blocker_handle>
+ Complex_blocker_around_vertex_iterator;
+
+ /**
+ * @brief Iterator over (constant) blockers adjacent to a vertex
+ */
+ typedef Blocker_iterator_around_vertex_internal<
+ typename std::multimap<Vertex_handle,Simplex_handle *>::const_iterator,
+ const Blocker_handle>
+ Const_complex_blocker_around_vertex_iterator;
+
+ typedef boost::iterator_range <Complex_blocker_around_vertex_iterator> Complex_blocker_around_vertex_range;
+ typedef boost::iterator_range <Const_complex_blocker_around_vertex_iterator> Const_complex_blocker_around_vertex_range;
+
+public:
+
+
+
+ Complex_blocker_around_vertex_range blocker_range(Vertex_handle v)
+ {
+ auto begin = Complex_blocker_around_vertex_iterator(blocker_map_.lower_bound(v));
+ auto end = Complex_blocker_around_vertex_iterator(blocker_map_.upper_bound(v));
+ return Complex_blocker_around_vertex_range(begin,end);
+ }
+
+ /**
+ * @brief Returns a Complex_blocker_around_vertex_range over all blockers of the complex adjacent to the vertex v.
+ */
+ Const_complex_blocker_around_vertex_range const_blocker_range(Vertex_handle v) const
+ {
+ auto begin = Const_complex_blocker_around_vertex_iterator(blocker_map_.lower_bound(v));
+ auto end = Const_complex_blocker_around_vertex_iterator(blocker_map_.upper_bound(v));
+ return Const_complex_blocker_around_vertex_range(begin,end);
+ }
+
+
+
+
+private:
+
+ /**
+ * @brief Iterator over the blockers.
+ */
+ typedef Blocker_iterator_internal<
+ typename std::multimap<Vertex_handle,Simplex_handle *>::iterator,
+ Blocker_handle>
+ Complex_blocker_iterator;
+
+ /**
+ * @brief Iterator over the (constant) blockers.
+ */
+ typedef Blocker_iterator_internal<
+ typename std::multimap<Vertex_handle,Simplex_handle *>::const_iterator,
+ const Blocker_handle>
+ Const_complex_blocker_iterator;
+
+ typedef boost::iterator_range <Complex_blocker_iterator> Complex_blocker_range;
+ typedef boost::iterator_range <Const_complex_blocker_iterator> Const_complex_blocker_range;
+
+
+public:
+
+
+ Complex_blocker_range blocker_range()
+ {
+ auto begin = Complex_blocker_iterator(blocker_map_.begin(), blocker_map_.end() );
+ auto end = Complex_blocker_iterator(blocker_map_.end() , blocker_map_.end() );
+ return Complex_blocker_range(begin,end);
+ }
+
+
+ Const_complex_blocker_range const_blocker_range() const
+ {
+ auto begin = Const_complex_blocker_iterator(blocker_map_.begin(), blocker_map_.end() );
+ auto end = Const_complex_blocker_iterator(blocker_map_.end() , blocker_map_.end() );
+ return Const_complex_blocker_range(begin,end);
+ }
+
+
+
+
+ //@}
+
+
+
+
+
+ /////////////////////////////////////////////////////////////////////////////
+ /** @name Print and IO methods
+ */
+ //@{
+public:
+ std::string to_string() const{
+ std::ostringstream stream;
+ stream<<num_vertices()<<" vertices:\n"<<vertices_to_string()<<std::endl;
+ stream<<num_edges()<<" edges:\n"<<edges_to_string()<<std::endl;
+ stream<<num_blockers()<<" blockers:\n"<<blockers_to_string()<<std::endl;
+ return stream.str();
+ }
+
+ std::string vertices_to_string() const{
+ std::ostringstream stream;
+ for(auto vertex : vertex_range())
+ stream << "("<<(*this)[vertex].get_id()<<"),";
+ stream<< std::endl;
+ return stream.str();
+ }
+
+ std::string edges_to_string() const{
+ std::ostringstream stream;
+ for(auto edge : edge_range())
+ stream << "("<< (*this)[edge].first()<<","<< (*this)[edge].second() << ")"<<" id = "<< (*this)[edge].index()<< std::endl;
+ stream<< std::endl;
+ return stream.str();
+ }
+
+
+ std::string blockers_to_string() const{
+ std::ostringstream stream;
+ for (auto bl:blocker_map_){
+ stream << bl.first << " => " << bl.second << ":"<<*bl.second <<"\n";
+ }
+ return stream.str();
+ }
+
+ //@}
+
+};
+
+
+
+/**
+ * build a simplicial complex from a collection
+ * of top faces.
+ */
+template<typename Complex,typename SimplexHandleIterator>
+unsigned make_complex_from_top_faces(Complex& complex,SimplexHandleIterator begin,SimplexHandleIterator end){
+ typedef typename Complex::Simplex_handle Simplex_handle;
+
+ int dimension = 0;
+ for(auto top_face = begin; top_face != end; ++top_face)
+ dimension = std::max(dimension,top_face->dimension());
+
+ std::vector< std::set<Simplex_handle> > simplices_per_dimension(dimension+1);
+
+
+ for(auto top_face = begin; top_face != end; ++top_face){
+ register_faces(simplices_per_dimension,*top_face);
+ }
+
+ // compute list of simplices
+ std::list<Simplex_handle> simplices;
+ for(int dim = 0 ; dim <= dimension ; ++dim){
+ std::copy(
+ simplices_per_dimension[dim].begin(),
+ simplices_per_dimension[dim].end(),
+ std::back_inserter(simplices)
+ );
+ }
+ complex = Complex(simplices);
+ return simplices.size();
+}
+
+
+
+}
+
+} // namespace GUDHI
+
+
+
+#endif
+
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_geometric_complex.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_geometric_complex.h
new file mode 100644
index 00000000..924b653c
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_geometric_complex.h
@@ -0,0 +1,118 @@
+/*
+ * Skeleton_blocker_geometric_complex.h
+ *
+ * Created on: Feb 11, 2014
+ * Author: dsalinas
+ */
+
+#ifndef SKELETON_BLOCKER_GEOMETRIC_COMPLEX_H_
+#define SKELETON_BLOCKER_GEOMETRIC_COMPLEX_H_
+
+
+#include "gudhi/Utils.h"
+#include "gudhi/Skeleton_blocker_simplifiable_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h"
+
+
+
+namespace Gudhi{
+
+namespace skbl {
+
+/**
+ * @brief Class that represents a geometric complex that can be simplified.
+ * The class allows access to points of vertices.
+ *
+ */
+template<typename SkeletonBlockerGeometricDS>
+class Skeleton_blocker_geometric_complex : public Skeleton_blocker_simplifiable_complex<SkeletonBlockerGeometricDS>
+{
+public:
+ typedef typename SkeletonBlockerGeometricDS::GT GT;
+
+ typedef Skeleton_blocker_simplifiable_complex<SkeletonBlockerGeometricDS> SimplifiableSkeletonblocker;
+
+ typedef typename SimplifiableSkeletonblocker::Vertex_handle Vertex_handle;
+ typedef typename SimplifiableSkeletonblocker::Root_vertex_handle Root_vertex_handle;
+ typedef typename SimplifiableSkeletonblocker::Edge_handle Edge_handle;
+ typedef typename SimplifiableSkeletonblocker::Simplex_handle Simplex_handle;
+
+
+ typedef typename SimplifiableSkeletonblocker::Graph_vertex Graph_vertex;
+
+ typedef typename SkeletonBlockerGeometricDS::Point Point;
+
+
+ /**
+ * @brief Add a vertex to the complex with its associated point.
+ */
+ void add_vertex(const Point& point){
+ Vertex_handle ad = SimplifiableSkeletonblocker::add_vertex();
+ (*this)[ad].point() = point;
+ }
+
+
+ /**
+ * @brief Returns the Point associated to the vertex v.
+ */
+ const Point& point(Vertex_handle v) const{
+ assert(this->contains_vertex(v));
+ return (*this)[v].point();
+ }
+
+ /**
+ * @brief Returns the Point associated to the vertex v.
+ */
+ Point& point(Vertex_handle v) {
+ assert(this->contains_vertex(v));
+ return (*this)[v].point();
+ }
+
+ const Point& point(Root_vertex_handle global_v) const{
+ Vertex_handle local_v ( (*this)[global_v]) ;
+ assert(this->contains_vertex(local_v));
+ return (*this)[local_v].point();
+ }
+
+ Point& point(Root_vertex_handle global_v) {
+ Vertex_handle local_v ( (*this)[global_v]) ;
+ assert(this->contains_vertex(local_v));
+ return (*this)[local_v].point();
+ }
+
+
+ typedef Skeleton_blocker_link_complex<Skeleton_blocker_geometric_complex> Geometric_link;
+
+ /**
+ * Constructs the link of 'simplex' with points coordinates.
+ */
+ Geometric_link link(const Simplex_handle& simplex) const{
+ Geometric_link link(*this,simplex);
+ //we now add the point info
+ add_points_to_link(link);
+ return link;
+ }
+
+ /**
+ * Constructs the link of 'simplex' with points coordinates.
+ */
+ Geometric_link link(Edge_handle edge) const{
+ Geometric_link link(*this,edge);
+ //we now add the point info
+ add_points_to_link(link);
+ return link;
+ }
+private:
+ void add_points_to_link(Geometric_link& link) const{
+ for(Vertex_handle v : link.vertex_range()){
+ Root_vertex_handle v_root(link.get_id(v));
+ link.point(v) = (*this).point(v_root);
+ }
+ }
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* SKELETON_BLOCKER_GEOMETRIC_COMPLEX_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_link_complex.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_link_complex.h
new file mode 100644
index 00000000..29c0691b
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_link_complex.h
@@ -0,0 +1,275 @@
+/*
+ * Skeleton_blockers_link_complex.h
+ *
+ * Created on: Feb 7, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_LINK_COMPLEX_H_
+#define GUDHI_SKELETON_BLOCKERS_LINK_COMPLEX_H_
+
+#include "gudhi/Utils.h"
+#include "gudhi/Skeleton_blocker_complex.h"
+
+namespace Gudhi{
+
+namespace skbl {
+
+template<class ComplexType> class Skeleton_blocker_sub_complex;
+
+
+/**
+ * \brief Class representing the link of a simplicial complex encoded by a skeleton/blockers pair.
+ * It inherits from Skeleton_blocker_sub_complex because such complex is a sub complex of a
+ * root complex.
+ */
+template<typename ComplexType>
+class Skeleton_blocker_link_complex : public Skeleton_blocker_sub_complex<ComplexType>
+{
+ template <typename T> friend class Skeleton_blocker_link_superior;
+ typedef typename ComplexType::Edge_handle Edge_handle;
+
+ typedef typename ComplexType::boost_vertex_handle boost_vertex_handle;
+
+
+private:
+
+ bool only_superior_vertices_;
+
+public:
+ typedef typename ComplexType::Vertex_handle Vertex_handle;
+ typedef typename ComplexType::Root_vertex_handle Root_vertex_handle;
+
+ typedef typename ComplexType::Simplex_handle Simplex_handle;
+ typedef typename ComplexType::Root_simplex_handle Root_simplex_handle;
+
+ typedef typename ComplexType::Blocker_handle Blocker_handle;
+
+
+ typedef typename ComplexType::Simplex_handle::Simplex_vertex_const_iterator Simplex_handle_iterator;
+ typedef typename ComplexType::Root_simplex_handle::Simplex_vertex_const_iterator Root_simplex_handle_iterator;
+
+
+ Skeleton_blocker_link_complex(bool only_superior_vertices=false):only_superior_vertices_(only_superior_vertices){
+ }
+
+ /**
+ * If the parameter only_superior_vertices is true,
+ * only vertices greater than the one of alpha are added.
+ */
+ Skeleton_blocker_link_complex(const ComplexType & parent_complex,const Simplex_handle& alpha_parent_adress,bool only_superior_vertices = false)
+ :only_superior_vertices_(only_superior_vertices) {
+ if(!alpha_parent_adress.empty())
+ build_link(parent_complex,alpha_parent_adress);
+
+ }
+
+ /**
+ * If the parameter only_superior_vertices is true,
+ * only vertices greater than the one of the vertex are added.
+ */
+ Skeleton_blocker_link_complex(const ComplexType & parent_complex, Vertex_handle a_parent_adress, bool only_superior_vertices = false)
+ :only_superior_vertices_(only_superior_vertices){
+ Simplex_handle alpha_simplex(a_parent_adress);
+ build_link(parent_complex,alpha_simplex);
+ }
+
+
+ /**
+ * If the parameter only_superior_vertices is true,
+ * only vertices greater than the one of the edge are added.
+ */
+ Skeleton_blocker_link_complex(const ComplexType & parent_complex, Edge_handle edge, bool only_superior_vertices = false)
+ :only_superior_vertices_(only_superior_vertices){
+ Simplex_handle alpha_simplex(parent_complex.first_vertex(edge),parent_complex.second_vertex(edge));
+ build_link(parent_complex,alpha_simplex);
+ }
+
+protected:
+
+
+ /**
+ * @brief compute vertices of the link.
+ * If the boolean only_superior_vertices is true, then only the vertices
+ * are greater than vertices of alpha_parent_adress are added.
+ */
+ void compute_link_vertices(const ComplexType & parent_complex,const Simplex_handle& alpha_parent_adress,bool only_superior_vertices,bool is_alpha_blocker = false){
+ if(alpha_parent_adress.dimension()==0)
+ // for a vertex we know exactly the number of vertices of the link (and the size of the corresponding vector)
+ // thus we call a specific function that will reserve a vector with appropriate size
+ this->compute_link_vertices(parent_complex,alpha_parent_adress.first_vertex(),only_superior_vertices_);
+ else{
+ // we compute the intersection of neighbors of alpha and store it in link_vertices
+ Simplex_handle link_vertices_parent;
+ parent_complex.add_neighbours(alpha_parent_adress,link_vertices_parent,only_superior_vertices);
+ // For all vertex 'v' in this intersection, we go through all its adjacent blockers.
+ // If one blocker minus 'v' is included in alpha then the vertex is not in the link complex.
+ for (auto v_parent : link_vertices_parent){
+ bool new_vertex = true;
+ for (auto beta : parent_complex.const_blocker_range(v_parent))
+ {
+ if(!is_alpha_blocker || *beta!=alpha_parent_adress){
+ new_vertex = !(alpha_parent_adress.contains_difference(*beta,v_parent));
+ if(!new_vertex) break;
+ }
+ }
+ if (new_vertex)
+ this->add_vertex(parent_complex.get_id(v_parent));
+ }
+ }
+ }
+
+
+ /**
+ * @brief compute vertices of the link.
+ * If the boolean only_superior_vertices is true, then only the vertices
+ * are greater than vertices of alpha_parent_adress are added.
+ */
+ void compute_link_vertices(const ComplexType & parent_complex, Vertex_handle alpha_parent_adress,bool only_superior_vertices){
+ // for a vertex we know exactly the number of vertices of the link (and the size of the corresponding vector
+ this->skeleton.m_vertices.reserve(parent_complex.degree(alpha_parent_adress));
+
+ // For all vertex 'v' in this intersection, we go through all its adjacent blockers.
+ // If one blocker minus 'v' is included in alpha then the vertex is not in the link complex.
+ for (auto v_parent : parent_complex.vertex_range(alpha_parent_adress)){
+ if(!only_superior_vertices || v_parent.vertex> alpha_parent_adress.vertex)
+ this->add_vertex(parent_complex.get_id(v_parent));
+ }
+
+ }
+
+
+ void compute_link_edges(const ComplexType & parent_complex,const Simplex_handle& alpha_parent_adress,bool is_alpha_blocker = false){
+ Simplex_handle_iterator y_link, x_parent , y_parent;
+ // ----------------------------
+ // Compute edges in the link
+ // -------------------------
+
+ if(this->num_vertices()<=1) return;
+
+ for (auto x_link = this->vertex_range().begin() ;
+ x_link!= this->vertex_range().end();
+ ++x_link
+ )
+ {
+ for (auto y_link = x_link; ++y_link != this->vertex_range().end(); ){
+ Vertex_handle x_parent = *parent_complex.get_address(this->get_id(*x_link));
+ Vertex_handle y_parent = *parent_complex.get_address(this->get_id(*y_link));
+ if (parent_complex.contains_edge(x_parent,y_parent) ){
+ // we check that there is no blocker subset of alpha passing trough x and y
+ bool new_edge=true;
+ for (auto blocker_parent : parent_complex.const_blocker_range(x_parent))
+ {
+ if(!is_alpha_blocker || *blocker_parent!=alpha_parent_adress){
+ if (blocker_parent->contains(y_parent))
+ {
+ new_edge = !(alpha_parent_adress.contains_difference(*blocker_parent,x_parent,y_parent));
+ if (!new_edge) break;
+ }
+ }
+ }
+ if (new_edge)
+ this->add_edge(*x_link,*y_link);
+ }
+ }
+ }
+ }
+
+
+ /**
+ * @brief : Given an address in the current complex, it returns the
+ * corresponding address in 'other_complex'.
+ * It assumes that other_complex have a vertex 'this.get_id(address)'
+ */
+ boost::optional<Vertex_handle> give_equivalent_vertex(const ComplexType & other_complex,
+ Vertex_handle address) const{
+ Root_vertex_handle id((*this)[address].get_id());
+ return other_complex.get_address(id);
+ }
+
+ /*
+ * compute the blockers of the link if is_alpha_blocker is false.
+ * Otherwise, alpha is a blocker, and the link is computed in the complex where
+ * the blocker is anticollapsed.
+ */
+ void compute_link_blockers(const ComplexType & parent_complex,const Simplex_handle& alpha_parent,bool is_alpha_blocker = false){
+
+ for (auto x_link : this->vertex_range()){
+
+ Vertex_handle x_parent = * this->give_equivalent_vertex(parent_complex,x_link);
+
+ for (auto blocker_parent : parent_complex.const_blocker_range(x_parent)){
+ if(!is_alpha_blocker || *blocker_parent!=alpha_parent){
+ Simplex_handle sigma_parent(*blocker_parent);
+
+ sigma_parent.difference(alpha_parent);
+
+ if (sigma_parent.dimension()>=2 && sigma_parent.first_vertex() == x_parent){
+ Root_simplex_handle sigma_id(parent_complex.get_id(sigma_parent));
+ auto sigma_link = this->get_simplex_address(sigma_id);
+ // ie if the vertices of sigma are vertices of the link
+ if(sigma_link){
+ bool is_new_blocker = true;
+ for(auto a : alpha_parent){
+ for(auto eta_parent : parent_complex.const_blocker_range(a)){
+ if(!is_alpha_blocker || *eta_parent!=alpha_parent){
+ Simplex_handle eta_minus_alpha(*eta_parent);
+ eta_minus_alpha.difference(alpha_parent);
+ if(eta_minus_alpha != sigma_parent &&
+ sigma_parent.contains_difference(*eta_parent,alpha_parent)){
+ is_new_blocker = false;
+ break;
+ }
+ }
+ }
+ if (!is_new_blocker) break;
+ }
+ if (is_new_blocker)
+ this->add_blocker(new Simplex_handle(*sigma_link));
+
+ }
+ }
+ }
+ }
+ }
+ }
+
+
+public:
+ /**
+ * @brief compute vertices, edges and blockers of the link.
+ * @details If the boolean only_superior_vertices is true, then the link is computed only
+ * with vertices that are greater than vertices of alpha_parent_adress.
+ */
+ void build_link(const ComplexType & parent_complex,const Simplex_handle& alpha_parent_adress,bool is_alpha_blocker = false)
+ {
+ assert(is_alpha_blocker || parent_complex.contains(alpha_parent_adress));
+ compute_link_vertices(parent_complex,alpha_parent_adress,only_superior_vertices_);
+ compute_link_edges(parent_complex,alpha_parent_adress,is_alpha_blocker);
+ compute_link_blockers(parent_complex,alpha_parent_adress,is_alpha_blocker);
+ }
+
+
+ /**
+ * @brief build the link of a blocker which is the link
+ * of the blocker's simplex if this simplex had been
+ * removed from the blockers of the complex.
+ */
+ friend void build_link_of_blocker(
+ const ComplexType & parent_complex,
+ Simplex_handle& blocker,
+ Skeleton_blocker_link_complex & result){
+ assert(blocker.dimension()>=2);
+ assert(parent_complex.contains_blocker(blocker));
+ result.clear();
+ result.build_link(parent_complex,blocker,true);
+ }
+
+
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* SKELETON_BLOCKERS_LINK_COMPLEX_H_ */
diff --git a/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_simplifiable_complex.h b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_simplifiable_complex.h
new file mode 100644
index 00000000..4f9060ef
--- /dev/null
+++ b/src/Skeleton_blocker/include/gudhi/Skeleton_blocker_simplifiable_complex.h
@@ -0,0 +1,525 @@
+/*
+ * Skeleton_blocker_simplifiable_complex.h
+ *
+ * Created on: Feb 4, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_SKELETON_BLOCKERS_SIMPLIFIABLE_COMPLEX_H_
+#define GUDHI_SKELETON_BLOCKERS_SIMPLIFIABLE_COMPLEX_H_
+
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_sub_complex.h"
+
+namespace Gudhi{
+
+namespace skbl {
+
+/**
+ * \brief Class that allows simplification operation on a simplicial complex represented
+ * by a skeleton/blockers pair.
+ */
+template<typename SkeletonBlockerDS>
+class Skeleton_blocker_simplifiable_complex : public Skeleton_blocker_complex<SkeletonBlockerDS>
+{
+ template<class ComplexType> friend class Skeleton_blocker_sub_complex;
+
+public:
+
+ typedef Skeleton_blocker_complex<SkeletonBlockerDS> SkeletonBlockerComplex;
+
+ typedef typename SkeletonBlockerComplex::Graph_edge Graph_edge;
+
+ typedef typename SkeletonBlockerComplex::boost_adjacency_iterator boost_adjacency_iterator;
+ typedef typename SkeletonBlockerComplex::Edge_handle Edge_handle;
+ typedef typename SkeletonBlockerComplex::boost_vertex_handle boost_vertex_handle;
+ typedef typename SkeletonBlockerComplex::Vertex_handle Vertex_handle;
+ typedef typename SkeletonBlockerComplex::Root_vertex_handle Root_vertex_handle;
+ typedef typename SkeletonBlockerComplex::Simplex_handle Simplex_handle;
+ typedef typename SkeletonBlockerComplex::Root_simplex_handle Root_simplex_handle;
+ typedef typename SkeletonBlockerComplex::Blocker_handle Blocker_handle;
+
+
+ typedef typename SkeletonBlockerComplex::Root_simplex_iterator Root_simplex_iterator;
+ typedef typename SkeletonBlockerComplex::Simplex_handle_iterator Simplex_handle_iterator;
+ typedef typename SkeletonBlockerComplex::BlockerMap BlockerMap;
+ typedef typename SkeletonBlockerComplex::BlockerPair BlockerPair;
+ typedef typename SkeletonBlockerComplex::BlockerMapIterator BlockerMapIterator;
+ typedef typename SkeletonBlockerComplex::BlockerMapConstIterator BlockerMapConstIterator;
+
+ typedef typename SkeletonBlockerComplex::Visitor Visitor;
+
+
+ /** @name Constructors / Destructors / Initialization
+ */
+ //@{
+ Skeleton_blocker_simplifiable_complex(int num_vertices_ = 0,Visitor* visitor_=NULL):
+ Skeleton_blocker_complex<SkeletonBlockerDS>(num_vertices_,visitor_){ }
+
+
+ /**
+ * @brief Constructor with a list of simplices
+ * @details The list of simplices must be the list
+ * of simplices of a simplicial complex, sorted with increasing dimension.
+ * todo take iterator instead
+ */
+ Skeleton_blocker_simplifiable_complex(std::list<Simplex_handle>& simplices,Visitor* visitor_=NULL):
+ Skeleton_blocker_complex<SkeletonBlockerDS>(simplices,visitor_)
+ {}
+
+
+
+ virtual ~Skeleton_blocker_simplifiable_complex(){
+ }
+
+ //@}
+
+ /**
+ * Returns true iff the blocker 'sigma' is popable.
+ * To define popable, let us call 'L' the complex that
+ * consists in the current complex without the blocker 'sigma'.
+ * A blocker 'sigma' is then "popable" if the link of 'sigma'
+ * in L is reducible.
+ *
+ */
+ virtual bool is_popable_blocker(Blocker_handle sigma) const{
+ assert(this->contains_blocker(*sigma));
+ Skeleton_blocker_link_complex<Skeleton_blocker_simplifiable_complex> link_blocker_sigma;
+ build_link_of_blocker(*this,*sigma,link_blocker_sigma);
+
+ bool res = link_blocker_sigma.is_contractible()==CONTRACTIBLE;
+ return res;
+ }
+
+
+
+
+private:
+ /**
+ * @returns the list of blockers of the simplex
+ *
+ * @todo a enlever et faire un iterateur sur tous les blockers a la place
+ */
+ std::list<Blocker_handle> get_blockers(){
+ std::list<Blocker_handle> res;
+ for (auto blocker : this->blocker_range()){
+ res.push_back(blocker);
+ }
+ return res;
+ }
+
+
+
+public:
+
+ /**
+ * Removes all the popable blockers of the complex and delete them.
+ * @returns the number of popable blockers deleted
+ */
+ void remove_popable_blockers(){
+ std::list<Vertex_handle> vertex_to_check;
+ for(auto v : this->vertex_range())
+ vertex_to_check.push_front(v);
+
+ while(!vertex_to_check.empty()){
+ Vertex_handle v = vertex_to_check.front();
+ vertex_to_check.pop_front();
+
+ bool blocker_popable_found=true;
+ while (blocker_popable_found){
+ blocker_popable_found = false;
+ for(auto block : this->blocker_range(v)){
+ if (this->is_popable_blocker(block)) {
+ for(Vertex_handle nv : *block)
+ if(nv!=v) vertex_to_check.push_back(nv);
+ this->delete_blocker(block);
+ blocker_popable_found = true;
+ break;
+ }
+ }
+ }
+ }
+ }
+
+
+ /**
+ * Removes all the popable blockers of the complex passing through v and delete them.
+ */
+ void remove_popable_blockers(Vertex_handle v){
+ bool blocker_popable_found=true;
+ while (blocker_popable_found){
+ blocker_popable_found = false;
+ for(auto block : this->blocker_range(v)){
+ if (is_popable_blocker(block)) {
+ this->delete_blocker(block);
+ blocker_popable_found = true;
+ }
+ }
+ }
+ }
+
+
+ /**
+ * Remove the star of the vertex 'v'
+ */
+ void remove_star(Vertex_handle v){
+ // we remove the blockers that are not consistent anymore
+
+ update_blockers_after_remove_star_of_vertex_or_edge(v);
+
+ while (this->degree(v) > 0)
+ {
+ Vertex_handle w( * (adjacent_vertices(v.vertex, this->skeleton).first));
+ this->remove_edge(v,w);
+ }
+ this->remove_vertex(v);
+ }
+
+private:
+ /**
+ * after removing the star of a simplex, blockers sigma that contains this simplex must be removed.
+ * Furthermore, all simplices tau of the form sigma \setminus simplex_to_be_removed must be added
+ * whenever the dimension of tau is at least 2.
+ */
+ void update_blockers_after_remove_star_of_vertex_or_edge(const Simplex_handle& simplex_to_be_removed){
+ std::list <Blocker_handle> blockers_to_update;
+ if(simplex_to_be_removed.empty()) return;
+
+ auto v0 = simplex_to_be_removed.first_vertex();
+ for (auto blocker : this->blocker_range(v0)){
+ if(blocker->contains(simplex_to_be_removed))
+ blockers_to_update.push_back(blocker);
+ }
+
+ for(auto blocker_to_update : blockers_to_update){
+ Simplex_handle sub_blocker_to_be_added;
+ bool sub_blocker_need_to_be_added =
+ (blocker_to_update->dimension()-simplex_to_be_removed.dimension()) >= 2;
+ if(sub_blocker_need_to_be_added){
+ sub_blocker_to_be_added = *blocker_to_update;
+ sub_blocker_to_be_added.difference(simplex_to_be_removed);
+ }
+ this->delete_blocker(blocker_to_update);
+ if(sub_blocker_need_to_be_added)
+ this->add_blocker(sub_blocker_to_be_added);
+ }
+ }
+
+
+
+public:
+ /**
+ * Remove the star of the edge connecting vertices a and b.
+ * @returns the number of blocker that have been removed
+ */
+ void remove_star(Vertex_handle a, Vertex_handle b){
+ update_blockers_after_remove_star_of_vertex_or_edge(Simplex_handle(a,b));
+ // we remove the edge
+ this->remove_edge(a,b);
+ }
+
+
+ /**
+ * Remove the star of the edge 'e'.
+ */
+ void remove_star(Edge_handle e){
+ return remove_star(this->first_vertex(e),this->second_vertex(e));
+ }
+
+ /**
+ * Remove the star of the simplex 'sigma' which needs to belong to the complex
+ */
+ void remove_star(const Simplex_handle& sigma){
+ assert(this->contains(sigma));
+ if (sigma.dimension()==0)
+ remove_star(sigma.first_vertex());
+ else
+ if (sigma.dimension()==1)
+ remove_star(sigma.first_vertex(),sigma.last_vertex());
+ else
+ update_blockers_after_remove_star_of_simplex(sigma);
+ }
+
+private:
+ void update_blockers_after_remove_star_of_simplex(const Simplex_handle& sigma){
+ std::list <Blocker_handle> blockers_to_remove;
+ for (auto blocker : this->blocker_range(sigma.first_vertex())){
+ if(blocker->contains(sigma))
+ blockers_to_remove.push_back(blocker);
+ }
+ for(auto blocker_to_update : blockers_to_remove)
+ this->delete_blocker(blocker_to_update);
+ this->add_blocker(sigma);
+ }
+
+public:
+
+ enum simplifiable_status{ NOT_HOMOTOPY_EQ,MAYBE_HOMOTOPY_EQ,HOMOTOPY_EQ};
+ simplifiable_status is_remove_star_homotopy_preserving(const Simplex_handle& simplex){
+ return MAYBE_HOMOTOPY_EQ;
+ }
+
+
+
+ enum contractible_status{ NOT_CONTRACTIBLE,MAYBE_CONTRACTIBLE,CONTRACTIBLE};
+ /**
+ * @brief %Test if the complex is reducible using a strategy defined in the class
+ * (by default it tests if the complex is a cone)
+ * @details Note that NO could be returned if some invariant ensures that the complex
+ * is not a point (for instance if the euler characteristic is different from 1).
+ * This function will surely have to return MAYBE in some case because the
+ * associated problem is undecidable but it in practice, it can often
+ * be solved with the help of geometry.
+ */
+ virtual contractible_status is_contractible() const{
+ if (this->is_cone()) return CONTRACTIBLE;
+ else return MAYBE_CONTRACTIBLE;
+ // return this->is_cone();
+ }
+
+
+ /** @Edge contraction operations
+ */
+ //@{
+
+
+
+ /**
+ * @return If ignore_popable_blockers is true
+ * then the result is true iff the link condition at edge ab is satisfied
+ * or equivalently iff no blocker contains ab.
+ * If ignore_popable_blockers is false then the
+ * result is true iff all blocker containing ab are popable.
+ */
+ bool link_condition(Vertex_handle a, Vertex_handle b,bool ignore_popable_blockers = false) const{
+ for (auto blocker : this->const_blocker_range(a))
+ if ( blocker->contains(b) ){
+ // false if ignore_popable_blockers is false
+ // otherwise the blocker has to be popable
+ return ignore_popable_blockers && is_popable_blocker(blocker);
+ }
+ return true;
+ }
+
+ /**
+ * @return If ignore_popable_blockers is true
+ * then the result is true iff the link condition at edge ab is satisfied
+ * or equivalently iff no blocker contains ab.
+ * If ignore_popable_blockers is false then the
+ * result is true iff all blocker containing ab are popable.
+ */
+ bool link_condition(Edge_handle & e,bool ignore_popable_blockers = false) const{
+ const Graph_edge& edge = (*this)[e];
+ assert(this->get_address(edge.first()));
+ assert(this->get_address(edge.second()));
+ Vertex_handle a(*this->get_address(edge.first()));
+ Vertex_handle b(*this->get_address(edge.second()));
+ return link_condition(a,b,ignore_popable_blockers);
+ }
+
+
+protected:
+ /**
+ * Compute simplices beta such that a.beta is an order 0 blocker
+ * that may be used to construct a new blocker after contracting ab.
+ * Suppose that the link condition Link(ab) = Link(a) inter Link(b)
+ * is satisfied.
+ */
+ void tip_blockers(Vertex_handle a, Vertex_handle b, std::vector<Simplex_handle> & buffer) const{
+ for (auto const & blocker : this->const_blocker_range(a))
+ {
+ Simplex_handle beta = (*blocker);
+ beta.remove_vertex(a);
+ buffer.push_back(beta);
+ }
+
+ Simplex_handle n;
+ this->add_neighbours(b,n);
+ this->remove_neighbours(a,n);
+ n.remove_vertex(a);
+
+
+ for (Vertex_handle y : n)
+ {
+ Simplex_handle beta;
+ beta.add_vertex( y );
+ buffer.push_back(beta);
+ }
+ }
+
+
+private:
+
+ /**
+ * @brief "Replace" the edge 'bx' by the edge 'ax'.
+ * Assume that the edge 'bx' was present whereas 'ax' was not.
+ * Precisely, it does not replace edges, but remove 'bx' and then add 'ax'.
+ * The visitor 'on_swaped_edge' is called just after edge 'ax' had been added
+ * and just before edge 'bx' had been removed. That way, it can
+ * eventually access to information of 'ax'.
+ */
+ void swap_edge(Vertex_handle a,Vertex_handle b,Vertex_handle x){
+ this->add_edge(a,x);
+ if (this->visitor) this->visitor->on_swaped_edge(a,b,x);
+ this->remove_edge(b,x);
+ }
+
+
+private:
+ /**
+ * @brief removes all blockers passing through the edge 'ab'
+ */
+ void delete_blockers_around_vertex(Vertex_handle v){
+ std::list <Blocker_handle> blockers_to_delete;
+ for (auto blocker : this->blocker_range(v)){
+ blockers_to_delete.push_back(blocker);
+ }
+ while (!blockers_to_delete.empty()){
+ this->remove_blocker(blockers_to_delete.back());
+ blockers_to_delete.pop_back();
+ }
+
+ }
+ /**
+ * @brief removes all blockers passing through the edge 'ab'
+ */
+ void delete_blockers_around_edge(Vertex_handle a, Vertex_handle b){
+ std::list<Blocker_handle> blocker_to_delete;
+ for (auto blocker : this->blocker_range(a))
+ if (blocker->contains(b)) blocker_to_delete.push_back(blocker);
+ while (!blocker_to_delete.empty())
+ {
+ this->delete_blocker(blocker_to_delete.back());
+ blocker_to_delete.pop_back();
+ }
+ }
+
+public:
+
+ /**
+ * Contracts the edge.
+ * @remark If the link condition Link(ab) = Link(a) inter Link(b) is not satisfied,
+ * it removes first all blockers passing through 'ab'
+ */
+ void contract_edge(Edge_handle edge){
+ contract_edge(this->first_vertex(edge),this->second_vertex(edge));
+ }
+
+
+ /**
+ * Contracts the edge connecting vertices a and b.
+ * @remark If the link condition Link(ab) = Link(a) inter Link(b) is not satisfied,
+ * it removes first all blockers passing through 'ab'
+ */
+ void contract_edge(Vertex_handle a, Vertex_handle b){
+ assert(this->contains_vertex(a));
+ assert(this->contains_vertex(b));
+ assert(this->contains_edge(a,b));
+
+ // if some blockers passes through 'ab', we remove them.
+ if (!link_condition(a,b))
+ delete_blockers_around_edge(a,b);
+
+ std::set<Simplex_handle> blockers_to_add;
+
+ get_blockers_to_be_added_after_contraction(a,b,blockers_to_add);
+
+ delete_blockers_around_vertices(a,b);
+
+ update_edges_after_contraction(a,b);
+
+ this->remove_vertex(b);
+
+ notify_changed_edges(a);
+
+ for(auto block : blockers_to_add)
+ this->add_blocker(block);
+
+ assert(this->contains_vertex(a));
+ assert(!this->contains_vertex(b));
+ }
+
+
+private:
+
+ void get_blockers_to_be_added_after_contraction(Vertex_handle a,Vertex_handle b,std::set<Simplex_handle>& blockers_to_add){
+ blockers_to_add.clear();
+
+ typedef Skeleton_blocker_link_complex<Skeleton_blocker_complex<SkeletonBlockerDS> > LinkComplexType;
+
+ LinkComplexType link_a(*this,a);
+ LinkComplexType link_b(*this,b);
+
+ std::vector<Simplex_handle> vector_alpha, vector_beta;
+
+ tip_blockers(a,b,vector_alpha);
+ tip_blockers(b,a,vector_beta);
+
+ for (auto alpha = vector_alpha.begin(); alpha != vector_alpha.end(); ++alpha){
+ for (auto beta = vector_beta.begin(); beta != vector_beta.end(); ++beta)
+ {
+ Simplex_handle sigma = *alpha; sigma.union_vertices(*beta);
+ Root_simplex_handle sigma_id = this->get_id(sigma);
+ if ( this->contains(sigma) &&
+ proper_faces_in_union<SkeletonBlockerComplex>(sigma_id,link_a,link_b))
+ {
+ // Blocker_handle blocker = new Simplex_handle(sigma);
+ sigma.add_vertex(a);
+ blockers_to_add.insert(sigma);
+ }
+ }
+ }
+ }
+
+
+ /**
+ * delete all blockers that passes through a or b
+ */
+ void delete_blockers_around_vertices(Vertex_handle a,Vertex_handle b){
+ std::vector<Blocker_handle> blocker_to_delete;
+ for(auto bl : this->blocker_range(a))
+ blocker_to_delete.push_back(bl);
+ for(auto bl : this->blocker_range(b))
+ blocker_to_delete.push_back(bl);
+ while (!blocker_to_delete.empty())
+ {
+ this->delete_blocker(blocker_to_delete.back());
+ blocker_to_delete.pop_back();
+ }
+ }
+
+
+ void update_edges_after_contraction(Vertex_handle a,Vertex_handle b){
+ // We update the set of edges
+ this->remove_edge(a,b);
+
+ // For all edges {b,x} incident to b,
+ // we remove {b,x} and add {a,x} if not already there.
+ while (this->degree(b)> 0)
+ {
+ Vertex_handle x(*(adjacent_vertices(b.vertex, this->skeleton).first));
+ if(!this->contains_edge(a,x))
+ // we 'replace' the edge 'bx' by the edge 'ax'
+ this->swap_edge(a,b,x);
+ else
+ this->remove_edge(b,x);
+ }
+ }
+
+ void notify_changed_edges(Vertex_handle a){
+ // We notify the visitor that all edges incident to 'a' had changed
+ boost_adjacency_iterator v, v_end;
+
+ for (tie(v, v_end) = adjacent_vertices(a.vertex, this->skeleton); v != v_end; ++v)
+ if (this->visitor) this->visitor->on_changed_edge(a,Vertex_handle(*v));
+ }
+
+ //@}
+
+
+};
+
+}
+
+} // namespace GUDHI
+
+#endif /* GUDHI_SKELETON_BLOCKERS_SIMPLIFIABLE_COMPLEX_H_ */
diff --git a/src/Skeleton_blocker/test/CMakeLists.txt b/src/Skeleton_blocker/test/CMakeLists.txt
new file mode 100644
index 00000000..d66dcf64
--- /dev/null
+++ b/src/Skeleton_blocker/test/CMakeLists.txt
@@ -0,0 +1,7 @@
+cmake_minimum_required(VERSION 2.6)
+project(GUDHIskbl)
+
+add_executable ( TestSkeletonBlockerComplex TestSkeletonBlockerComplex.cpp )
+add_executable ( TestSimplifiable TestSimplifiable.cpp )
+
+
diff --git a/src/Skeleton_blocker/test/TestSimplifiable.cpp b/src/Skeleton_blocker/test/TestSimplifiable.cpp
new file mode 100644
index 00000000..9f802463
--- /dev/null
+++ b/src/Skeleton_blocker/test/TestSimplifiable.cpp
@@ -0,0 +1,281 @@
+/*
+ * TestSimplifiable.cxx
+ *
+ * Created on: Feb 4, 2014
+ * Author: dsalinas
+ */
+
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string>
+#include <fstream>
+#include <sstream>
+#include "gudhi/Test.h"
+//#include "Skeleton_blocker/Simplex.h"
+#include "gudhi/Skeleton_blocker_complex.h"
+#include "gudhi/Skeleton_blocker/iterators/Skeleton_blockers_iterators.h"
+#include "gudhi/Skeleton_blocker_simplifiable_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h"
+
+
+using namespace std;
+
+using namespace Gudhi;
+
+using namespace skbl;
+
+template<typename ComplexType> class Skeleton_blocker_sub_complex;
+typedef Skeleton_blocker_simplifiable_complex<Skeleton_blocker_simple_traits> Complex;
+typedef Complex::Vertex_handle Vertex_handle;
+typedef Complex::Root_vertex_handle Root_vertex_handle;
+typedef Skeleton_blocker_simplex<Vertex_handle> Simplex_handle;
+// true iff v \in complex
+bool assert_vertex(Complex &complex,Vertex_handle v){
+ Simplex_handle simplex(v);
+ bool test = complex.contains(simplex);
+ assert(test);
+ return test;
+}
+
+// true iff the blocker (a,b,c) is in complex
+bool assert_blocker(Complex &complex,Root_vertex_handle a,Root_vertex_handle b,Root_vertex_handle c){
+
+ return complex.contains_blocker(Simplex_handle(*complex.get_address(a),*complex.get_address(b),*complex.get_address(c)));
+ //return complex.contains_blocker((a),(b),(c));
+}
+
+void build_complete(int n,Complex& complex){
+ complex.clear();
+ for(int i=0;i<n;i++)
+ complex.add_vertex();
+ for(int i=0;i<n;i++)
+ for(int j=0;j<i;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+}
+
+bool test_contraction1(){
+ enum { a, b, x, y, z, n };
+ Complex complex(n);
+ build_complete(n,complex);
+ complex.remove_edge(Vertex_handle(b),Vertex_handle(z));
+ complex.add_blocker(Vertex_handle(a),Vertex_handle(x),Vertex_handle(y));
+ complex.add_blocker(Vertex_handle(b),Vertex_handle(x),Vertex_handle(y));
+
+ // Print result
+ cerr << "complex before complex"<< complex.to_string()<<endl;
+
+ cerr <<endl<<endl;
+ complex.contract_edge(Vertex_handle(a),Vertex_handle(b));
+ // Print result
+ cerr << "ContractEdge(0,1)\n";
+ PRINT(complex.to_string());
+
+ // verification
+ for (int i=0;i<5;i++)
+ if (i!=1) assert_vertex(complex,Vertex_handle(i));
+ bool test1 = !complex.contains_edge(Vertex_handle(a),Vertex_handle(b));
+ bool test2 = assert_blocker(complex,Root_vertex_handle(a),Root_vertex_handle(x),Root_vertex_handle(y));
+ bool test3 = complex.num_edges()==6;
+ bool test4 = complex.num_blockers()==1;
+ Simplex_handle sigma;
+ sigma.add_vertex(Vertex_handle(a));
+ sigma.add_vertex(Vertex_handle(x));
+ sigma.add_vertex(Vertex_handle(y));
+ sigma.add_vertex(Vertex_handle(z));
+ bool test5 = !(complex.contains(sigma));
+ return test1&&test2&&test3&&test4&&test5;
+}
+
+
+bool test_contraction2(){
+ enum { a, b, x, y, z, n };
+ Complex complex(n);
+ build_complete(n,complex);
+ complex.remove_edge(Vertex_handle(b),Vertex_handle(x));
+ Simplex_handle blocker;
+ blocker.add_vertex(Vertex_handle(a));
+ blocker.add_vertex(Vertex_handle(y));
+ blocker.add_vertex(Vertex_handle(z));
+
+ complex.add_blocker(blocker);
+
+ // Print result
+ cerr << "complex complex"<< complex.to_string();
+ cerr <<endl<<endl;
+ complex.contract_edge(Vertex_handle(a),Vertex_handle(b));
+
+ cerr << "complex.ContractEdge(a,b)"<< complex.to_string();
+
+ cerr <<endl<<endl;
+
+ // there should be one blocker (a,c,d,e) in the complex
+ bool test ;
+ test = complex.contains_blocker(Simplex_handle(a,x,y,z));
+ test = test && complex.num_blockers()==1;
+ return test;
+}
+
+bool test_link_condition1(){
+
+ Complex complex(0);
+ // Build the complexes
+ build_complete(4,complex);
+ complex.add_blocker(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2));
+
+
+ // Print result
+ cerr << "complex complex"<< complex.to_string();
+ cerr <<endl<<endl;
+
+ bool weak_link_condition = complex.link_condition(Vertex_handle(1),Vertex_handle(2),true);
+
+ bool strong_link_condition = complex.link_condition(Vertex_handle(1),Vertex_handle(2),false);
+
+ return weak_link_condition && !strong_link_condition;
+}
+
+
+
+
+bool test_collapse1(){
+ // xxx implement remove_star(simplex) before
+
+ Complex complex(5);
+ build_complete(4,complex);
+ complex.add_vertex();
+ complex.add_edge(2,4);
+ complex.add_edge(3,4);
+ // Print result
+ cerr << "initial complex :\n"<< complex.to_string();
+ cerr <<endl<<endl;
+
+ Simplex_handle simplex_123(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3));
+ complex.remove_star(simplex_123);
+ cerr << "complex.remove_star(1,2,3):\n"<< complex.to_string();
+ cerr <<endl<<endl;
+
+ // verification
+ bool blocker123_here = complex.contains_blocker(simplex_123);
+ cerr <<"----> Ocomplex \n";
+ return blocker123_here;
+}
+
+bool test_collapse2(){
+ Complex complex(5);
+ build_complete(4,complex);
+ complex.add_vertex();
+ complex.add_edge(Vertex_handle(1),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(3),Vertex_handle(4));
+ complex.add_blocker(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3),Vertex_handle(4));
+ // Print result
+ cerr << "initial complex :\n"<< complex.to_string();
+ cerr <<endl<<endl;
+
+ Simplex_handle sigma(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3));
+ complex.remove_star(sigma);
+ cerr << "complex.remove_star(1,2,3):\n"<< complex.to_string();
+ cerr <<endl<<endl;
+
+ // verification
+ bool blocker_removed = !complex.contains_blocker(Simplex_handle(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3),Vertex_handle(4)));
+ bool blocker123_here = complex.contains_blocker(sigma);
+ return blocker_removed && blocker123_here;
+}
+
+bool test_collapse3(){
+ Complex complex(5);
+ build_complete(4,complex);
+ complex.add_vertex();
+ complex.add_edge(Vertex_handle(1),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(3),Vertex_handle(4));
+ complex.add_blocker(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3),Vertex_handle(4));
+ // Print result
+ cerr << "initial complex:\n"<< complex.to_string();
+ cerr <<endl<<endl;
+
+ complex.remove_star(Vertex_handle(2));
+ cerr << "complex after remove star of 2:\n"<< complex.to_string();
+
+ bool blocker134_here = complex.contains_blocker(Simplex_handle(Vertex_handle(1),Vertex_handle(3),Vertex_handle(4)));
+ bool blocker1234_here = complex.contains_blocker(Simplex_handle(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3),Vertex_handle(4)));
+ // verification
+ // assert_blocker(complex,1,2,3);
+ // assert(!complex.ContainsBlocker(new AddressSimplex(1,2,3,4)));
+ cerr <<"----> Ocomplex \n";
+ return blocker134_here && !blocker1234_here;
+}
+
+
+
+bool test_remove_popable_blockers(){
+ Complex complex;
+ build_complete(4,complex);
+ complex.add_vertex();
+ complex.add_edge(Vertex_handle(3),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(4));
+ Simplex_handle sigma1=Simplex_handle(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3));
+ Simplex_handle sigma2=Simplex_handle(Vertex_handle(2),Vertex_handle(3),Vertex_handle(4));
+
+ complex.add_blocker(sigma1);
+ complex.add_blocker(sigma2);
+ cerr << "complex complex"<< complex.to_string();
+ cerr <<endl<<endl;
+ cerr << "complex.RemovePopableBlockers();"<<endl;
+ complex.remove_popable_blockers();
+ cerr << "complex complex"<< complex.to_string();
+ cerr <<endl<<endl;
+
+ bool test1 = (complex.num_blockers()==1);
+
+
+ // test 2
+ complex.clear();
+ build_complete(4,complex);
+ complex.add_vertex();
+ complex.add_vertex();
+ complex.add_edge(Vertex_handle(3),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(5));
+ complex.add_edge(Vertex_handle(3),Vertex_handle(5));
+ complex.add_edge(Vertex_handle(4),Vertex_handle(5));
+ sigma1=Simplex_handle(Vertex_handle(1),Vertex_handle(2),Vertex_handle(3));
+ sigma2=Simplex_handle(Vertex_handle(2),Vertex_handle(3),Vertex_handle(4));
+
+ complex.add_blocker(sigma1);
+ complex.add_blocker(sigma2);
+ cerr << "complex complex"<< complex.to_string();
+ cerr <<endl<<endl; cerr << "complex.RemovePopableBlockers();"<<endl;
+ complex.remove_popable_blockers();
+ cerr << "complex complex"<< complex.to_string();
+
+ cerr <<endl<<endl;
+ bool test2 = (complex.num_blockers()==0);
+ return test1&&test2;
+}
+
+
+
+int main (int argc, char *argv[])
+{
+ Tests tests_simplifiable_complex;
+ tests_simplifiable_complex.add("Test contraction 1",test_contraction1);
+ tests_simplifiable_complex.add("Test contraction 2",test_contraction2);
+ tests_simplifiable_complex.add("Test Link condition 1",test_link_condition1);
+ tests_simplifiable_complex.add("Test remove popable blockers",test_remove_popable_blockers);
+
+
+ tests_simplifiable_complex.add("Test collapse 1",test_collapse1);
+ tests_simplifiable_complex.add("Test collapse 2",test_collapse2);
+ tests_simplifiable_complex.add("Test collapse 3",test_collapse3);
+
+
+ tests_simplifiable_complex.run();
+
+ if(tests_simplifiable_complex.run())
+ return EXIT_SUCCESS;
+ else
+ return EXIT_FAILURE;
+}
diff --git a/src/Skeleton_blocker/test/TestSkeletonBlockerComplex.cpp b/src/Skeleton_blocker/test/TestSkeletonBlockerComplex.cpp
new file mode 100644
index 00000000..c89f84e2
--- /dev/null
+++ b/src/Skeleton_blocker/test/TestSkeletonBlockerComplex.cpp
@@ -0,0 +1,773 @@
+#include <stdio.h>
+#include <stdlib.h>
+#include <string>
+#include <fstream>
+#include <sstream>
+#include "gudhi/Utils.h"
+#include "gudhi/Test.h"
+//#include "Skeleton_blocker/Simplex.h"
+#include "gudhi/Skeleton_blocker_complex.h"
+#include "gudhi/Skeleton_blocker_link_complex.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_link_superior.h"
+#include "gudhi/Skeleton_blocker/Skeleton_blocker_simple_traits.h"
+//#include "Simple_vertex.h"
+//#include "Simple_edge.h"
+
+using namespace std;
+
+using namespace Gudhi;
+
+using namespace skbl;
+
+
+typedef Skeleton_blocker_complex<Skeleton_blocker_simple_traits> Complex;
+typedef Complex::Vertex_handle Vertex_handle;
+typedef Complex::Root_vertex_handle Root_vertex_handle;
+typedef Complex::Simplex_handle Simplex_handle;
+typedef Complex::Root_simplex_handle Root_simplex_handle;
+typedef Simplex_handle::Simplex_vertex_const_iterator Simplex_vertex_const_iterator;
+typedef Complex::Edge_handle Edge_handle;
+
+// true iff v \in complex
+bool assert_vertex(Complex &complex,Vertex_handle v){
+ //assert(complex.contains(v));
+ return complex.contains(v);
+}
+
+bool assert_simplex(Complex &complex,Root_vertex_handle a,Root_vertex_handle b,Root_vertex_handle c){
+ return true;
+ // AddressSimplex simplex((a),(b),(c));
+ // return complex.contains(&simplex);
+}
+
+// true iff the blocker (a,b,c) is in complex
+bool assert_blocker(Complex &complex,Root_vertex_handle a,Root_vertex_handle b,Root_vertex_handle c){
+ return true;
+ //return complex.contains_blocker((a),(b),(c));
+}
+
+// true iff the blocker (a,b,c,d) is in complex
+bool assert_blocker(Complex &complex,Root_vertex_handle a,Root_vertex_handle b,Root_vertex_handle c,Root_vertex_handle d){
+ return true;
+ //Simplex blocker (a,b,c,d);
+ //return complex.contains_blocker(&blocker);
+}
+
+
+void build_complete(int n,Complex& complex){
+ complex.clear();
+ for(int i=0;i<n;i++)
+ complex.add_vertex();
+
+// for(int i=n-1;i>=0;i--)
+// for(int j=i-1;j>=0;j--)
+// complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+
+ for(int i=0;i<n;i++)
+ for(int j=0;j<i;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+}
+
+
+bool test_simplex(){
+// PRINT("test simplex");
+ Simplex_handle simplex(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2),Vertex_handle(3));
+ for (auto i = simplex.begin() ; i != simplex.end() ; ++i){
+ PRINT(*i);
+ auto j = i;
+ for (++j ;
+ j != simplex.end() ;
+ ++j){
+ PRINT(*j);
+ }
+ }
+ return simplex.dimension()==3;
+}
+
+
+bool test_iterator_vertices1(){
+ int n = 10;
+ Complex complex(10);
+ cerr << "complex.num_vertices():"<<complex.num_vertices()<<endl;
+ int num_vertex_seen = 0;
+ for(auto vi :complex.vertex_range()){
+ cerr << "vertex:"<<vi<<endl;
+ ++num_vertex_seen;
+ }
+ return num_vertex_seen == n;
+}
+
+bool test_iterator_vertices2(){
+ int n = 10;
+ Complex complex(10);
+ build_complete(10,complex);
+ cerr << "complex.num_vertices():"<<complex.num_vertices()<<endl;
+ cerr << "complex.num_edges():"<<complex.num_edges()<<endl;
+ int num_vertex_seen = 0;
+ for(auto vi :complex.vertex_range(Vertex_handle(2))){
+ cerr << "vertex:"<<vi<<endl;
+ ++num_vertex_seen;
+ }
+ std::cerr<<"num_vertex_seen:"<<num_vertex_seen<<std::endl;
+ return num_vertex_seen == (n-1);
+}
+
+
+
+bool test_iterator_edge(){
+ const int n = 10;
+ Complex complex(n);
+ for(int i=0;i<n;i++)
+ for(int j=0;j<i;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ complex.remove_edge(Vertex_handle(2),Vertex_handle(3));
+ complex.remove_edge(Vertex_handle(3),Vertex_handle(5));
+ cerr << "complex.num_edges():"<<complex.num_edges()<<endl;
+ int num_edges_seen = 0;
+ for(auto edge : complex.edge_range()){
+ cerr << "edge :"<<complex[edge]<<endl;
+ ++num_edges_seen;
+ }
+
+ return num_edges_seen == n*(n-1)/2-2;
+}
+
+bool test_iterator_edge2(){
+ const int n = 10;
+ Complex complex(n);
+ for(int i=0;i<n;i++)
+ for(int j=0;j<i;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ complex.remove_edge(Vertex_handle(2),Vertex_handle(3));
+ complex.remove_edge(Vertex_handle(3),Vertex_handle(5));
+ cerr << "complex.num_edges():"<<complex.num_edges()<<endl;
+ int num_neigbors_seen = 0;
+ for(auto neighbor : complex.vertex_range(Vertex_handle(2))){
+ cerr << "neighbor"<<neighbor<<endl;
+ ++num_neigbors_seen;
+ }
+ return num_neigbors_seen==8;
+}
+
+
+
+bool test_iterator_edge3(){
+ const int n = 10;
+ Complex complex(n);
+ for(int i=0;i<n;i++)
+ for(int j=0;j<i;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ complex.remove_edge(Vertex_handle(2),Vertex_handle(3));
+ complex.remove_edge(Vertex_handle(3),Vertex_handle(5));
+ cerr << "complex.num_edges():"<<complex.num_edges()<<endl;
+ int num_neigbors_seen = 0;
+ for(auto edge : complex.edge_range(Vertex_handle(2))){
+ std::cerr << edge<< std::endl;
+ ++num_neigbors_seen;
+ }
+ return num_neigbors_seen==8;
+}
+
+
+
+bool test_iterator_triangles(){
+ const int n = 7;
+ Complex complex(n);
+ //create a "ring" around '0'
+ for(int i=1;i<n;i++)
+ complex.add_edge(Vertex_handle(0),Vertex_handle(i));
+ for(int i=1;i<n-1;i++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(i+1));
+ complex.add_edge(Vertex_handle(1),Vertex_handle(6));
+
+ PRINT(complex.to_string());
+
+ int num_triangles_seen=0;
+ //for (auto t : complex.triangle_range(5)){
+ TEST("triangles around 5 (should be 2 of them):");
+ for (auto t : complex.triangle_range(5)){
+ PRINT(t);
+ ++num_triangles_seen;
+ }
+ bool test = (num_triangles_seen==2);
+
+ num_triangles_seen=0;
+ TEST("triangles around 0 (should be 6 of them):");
+ for (auto t : complex.triangle_range(0)){
+ PRINT(t);
+ ++num_triangles_seen;
+ }
+ test = test&&(num_triangles_seen==6);
+
+ // we now add another triangle
+ complex.add_vertex();
+ complex.add_edge(Vertex_handle(4),Vertex_handle(7));
+ complex.add_edge(Vertex_handle(3),Vertex_handle(7));
+ complex.add_blocker(Vertex_handle(0),Vertex_handle(1),Vertex_handle(6));
+ num_triangles_seen=0;
+
+ TEST("triangles (should be 6 of them):");
+ num_triangles_seen=0;
+ for (auto t : complex.triangle_range()){
+ PRINT(t);
+ ++num_triangles_seen;
+ }
+ test = test&&(num_triangles_seen==6);
+ PRINT(num_triangles_seen);
+
+ return test;
+}
+
+
+//#include "combinatorics/Skeleton_blocker/iterators/Skeleton_blockers_simplices_iterators.h"
+
+bool test_iterator_simplices(){
+ Complex complex(6);
+ complex.add_edge(Vertex_handle(0),Vertex_handle(1));
+ complex.add_edge(Vertex_handle(1),Vertex_handle(2));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(0));
+ complex.add_edge(Vertex_handle(1),Vertex_handle(3));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(3));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(5));
+ complex.add_edge(Vertex_handle(3),Vertex_handle(5));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(4));
+ complex.add_edge(Vertex_handle(4),Vertex_handle(5));
+ complex.add_edge(Vertex_handle(3),Vertex_handle(4));
+
+ complex.add_blocker(Vertex_handle(2),Vertex_handle(3),Vertex_handle(4),Vertex_handle(5));
+
+ bool correct_number_simplices = true;
+
+ std::map<Vertex_handle,unsigned> expected_num_simplices;
+
+ expected_num_simplices[Vertex_handle(0)] = 4;
+ expected_num_simplices[Vertex_handle(1)] = 6;
+ expected_num_simplices[Vertex_handle(2)] = 11;
+ expected_num_simplices[Vertex_handle(3)] = 9;
+ expected_num_simplices[Vertex_handle(4)] = 7;
+ expected_num_simplices[Vertex_handle(5)] = 7;
+
+ for(auto pair : expected_num_simplices){
+ unsigned num_simplices_around = 0;
+ for(const auto& simplex : complex.simplex_range(pair.first)){
+ simplex.dimension();
+ DBGVALUE(simplex);
+ ++num_simplices_around;
+ }
+
+ correct_number_simplices = correct_number_simplices && (num_simplices_around == pair.second);
+
+ DBGMSG("current vertex:",pair.first);
+ DBGMSG("expected_num_simplices:",pair.second);
+ DBGMSG("found:",num_simplices_around);
+ }
+ return correct_number_simplices;
+}
+
+
+
+bool test_iterator_simplices2(){
+ Complex complex(2);
+ complex.add_edge(Vertex_handle(0),Vertex_handle(1));
+
+ for(const auto& s:complex.triangle_range()){
+ s.dimension();
+ return false; // there are no triangles
+ }
+
+ unsigned num_simplices = 0 ;
+
+
+ DBGVALUE(complex.to_string());
+
+ for(const auto& simplex : complex.simplex_range(Vertex_handle(0))){
+ simplex.dimension();
+ DBGVALUE(simplex);
+ }
+
+
+ for(const auto& simplex : complex.simplex_range()){
+ DBGVALUE(simplex);
+ simplex.dimension();
+ ++num_simplices;
+ }
+ bool correct_number_simplices = (num_simplices == 3);
+ return correct_number_simplices;
+}
+
+
+bool test_iterator_simplices3(){
+ Complex complex(3);
+ complex.add_edge(Vertex_handle(0),Vertex_handle(1));
+ complex.add_edge(Vertex_handle(1),Vertex_handle(2));
+ complex.add_edge(Vertex_handle(2),Vertex_handle(0));
+ complex.add_blocker(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2));
+
+ unsigned num_simplices = 0 ;
+
+ for(const auto& simplex : complex.simplex_range(Vertex_handle(0))){
+ simplex.dimension();
+ DBGVALUE(simplex);
+ }
+
+
+ for(const auto& simplex : complex.simplex_range()){
+ DBGVALUE(simplex);
+ simplex.dimension();
+ ++num_simplices;
+ }
+ bool correct_number_simplices = (num_simplices == 6);
+ return correct_number_simplices;
+}
+
+bool test_iterator_simplices4(){
+ Complex empty_complex;
+ for(auto v : empty_complex.vertex_range()){
+ v;
+ }
+ for(auto e : empty_complex.edge_range()){
+ empty_complex[e];
+ }
+ for(auto t : empty_complex.triangle_range()){
+ t.dimension();
+ }
+ for(auto s : empty_complex.simplex_range()){
+ s.dimension();
+ }
+ return true;
+}
+
+
+
+
+
+template<typename Map>
+auto blocker_range(Map map) -> decltype( map | boost::adaptors::map_values){
+ return map| boost::adaptors::map_values ;
+}
+
+
+bool test_iterator_blockers(){
+ Complex complex;
+ Simplex_handle alpha;
+ Simplex_handle vertex_set_expected;
+ // Build the complexes
+ for (int i=0;i<20;i++){
+ complex.add_vertex();
+ }
+ for (int i=10;i<15;i++){
+ for (int j=i+1;j<15;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ }
+
+ complex.add_blocker(Simplex_handle(Vertex_handle(10),Vertex_handle(11),Vertex_handle(12)));
+ complex.add_blocker(Simplex_handle(Vertex_handle(2),Vertex_handle(1),Vertex_handle(10)));
+ complex.add_blocker(Simplex_handle(Vertex_handle(10),Vertex_handle(9),Vertex_handle(15)));
+ complex.add_blocker(Simplex_handle(Vertex_handle(1),Vertex_handle(9),Vertex_handle(8)));
+
+ // Print result
+ int num_blockers=0;
+ for(auto blockers : complex.blocker_range(Vertex_handle(10))){
+ TESTVALUE(*blockers) ;
+ num_blockers++;
+ }
+ bool test = (num_blockers==3);
+
+ num_blockers=0;
+ for (auto blockers : complex.blocker_range()){
+ TESTVALUE(*blockers) ;
+ num_blockers++;
+ }
+ test = test && (num_blockers==4) ;
+
+ return test;
+}
+
+
+bool test_link0(){
+
+ enum { a, b, c, d, n };
+ Complex complex(n);
+ complex.add_edge(Vertex_handle(b),Vertex_handle(c));complex.add_edge(Vertex_handle(c),Vertex_handle(d));
+ Simplex_handle alpha = Simplex_handle(Vertex_handle(c));
+ Skeleton_blocker_link_complex<Complex> L(complex,alpha);
+ PRINT(L.num_vertices());
+ PRINT(L.to_string());
+
+ bool test1 = L.contains_vertex(*L.get_address(Root_vertex_handle(b)));
+ bool test2 = L.contains_vertex(*L.get_address(Root_vertex_handle(d)));
+ bool test3 = L.num_edges()==0;
+ bool test4 = L.num_blockers()==0;
+ return test1&&test2&&test3&&test4;
+
+}
+
+bool test_link1(){
+ Complex complex;
+
+
+ // Build the complexes
+ for (int i=0;i<20;i++){
+ complex.add_vertex();
+ }
+ for (int i=10;i<15;i++){
+ for (int j=i+1;j<15;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ }
+ Simplex_handle alpha(Vertex_handle(12),Vertex_handle(14));
+ Skeleton_blocker_link_complex<Complex> L(complex,alpha);
+ // Complexes built
+
+ // verification
+ bool test1 = L.contains_vertex(*L.get_address(Root_vertex_handle(10)));
+ bool test2 = L.contains_vertex(*L.get_address(Root_vertex_handle(11)));
+ bool test3 = L.contains_vertex(*L.get_address(Root_vertex_handle(13)));
+ bool test4 = L.num_edges()==3;
+ bool test5 = L.num_blockers()==0;
+ Root_simplex_handle simplex;
+ simplex.add_vertex(Root_vertex_handle(10));
+ simplex.add_vertex(Root_vertex_handle(11));
+ simplex.add_vertex(Root_vertex_handle(13));
+ bool test6(L.get_simplex_address(simplex));
+ bool test7 = L.contains(*(L.get_simplex_address(simplex)));
+ cerr <<"----> Ocomplex \n";
+ return test1&&test2&&test3&&test4&&test5&&test6&&test7 ;
+
+}
+
+
+bool test_link2(){
+ Complex complex;
+
+ Simplex_handle alpha;
+ Simplex_handle vertex_set_expected;
+ // Build the complexes
+ for (int i=0;i<20;i++){
+ complex.add_vertex();
+ }
+ for (int i=10;i<15;i++){
+ for (int j=i+1;j<15;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ }
+ complex.add_blocker(Vertex_handle(10),Vertex_handle(11),Vertex_handle(13));
+ alpha = Simplex_handle(Vertex_handle(12),Vertex_handle(14));
+ Skeleton_blocker_link_complex<Complex> L(complex,alpha);
+ // Complexes built
+
+ // Print result
+ cerr << "complex complex"<< complex.to_string();
+ cerr <<endl<<endl;
+ cerr << "L= Link_complex("<<alpha<<") : \n"<<L.to_string();
+
+ // verification
+ bool test1 = L.contains_vertex(*L.get_address(Root_vertex_handle(10)));
+ bool test2 = L.contains_vertex(*L.get_address(Root_vertex_handle(11)));
+ bool test3 = L.contains_vertex(*L.get_address(Root_vertex_handle(13)));
+ bool test4 = L.num_edges()==3;
+ bool test5 = L.num_blockers()==1;
+ Root_simplex_handle simplex;
+ simplex.add_vertex(Root_vertex_handle(10));
+ simplex.add_vertex(Root_vertex_handle(11));
+ simplex.add_vertex(Root_vertex_handle(13));
+ bool test6 = L.contains_blocker(*(L.get_simplex_address(simplex)));
+ cerr <<"----> Ocomplex \n";
+ return test1&&test2&&test3&&test4&&test5&&test6 ;
+}
+
+bool test_link3(){
+ Complex complex;
+
+ Simplex_handle alpha;
+ Simplex_handle vertex_set_expected;
+ // Build the complexes
+ for (int i=0;i<20;i++){
+ complex.add_vertex();
+ }
+ for (int i=10;i<15;i++){
+ for (int j=i+1;j<15;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ }
+ complex.add_blocker(Vertex_handle(10),Vertex_handle(11),Vertex_handle(12));
+ alpha = Simplex_handle(Vertex_handle(12),Vertex_handle(14));
+ Skeleton_blocker_link_complex<Complex> L(complex,alpha);
+ // Complexes built
+
+ // Print result
+ cerr << "complex complex"<< complex.to_string();
+ cerr <<endl<<endl;
+ cerr << "L= Link_complex("<<alpha<<") : \n"<<L.to_string();
+
+ // verification
+ bool test = assert_vertex(L,*L.get_address(Root_vertex_handle(10)));
+ test = test&& assert_vertex(L,*L.get_address(Root_vertex_handle(11)));
+ test = test&& assert_vertex(L,*L.get_address(Root_vertex_handle(13)));
+ test = test&& L.num_edges()==2;
+ test = test&&L.contains_edge(*L.get_address(Root_vertex_handle(10)),*L.get_address(Root_vertex_handle(13)));
+ test=test&&L.contains_edge(*L.get_address(Root_vertex_handle(13)),*L.get_address(Root_vertex_handle(11)));
+ test=test&&L.num_blockers()==0;
+ return test;
+}
+
+bool test_link4(){
+ Complex complex;
+
+ // Build the complexes
+ for (int i=0;i<20;i++){
+ complex.add_vertex();
+ }
+ for (int i=10;i<15;i++){
+ for (int j=i+1;j<15;j++)
+ complex.add_edge(Vertex_handle(i),Vertex_handle(j));
+ }
+ complex.add_blocker(Vertex_handle(10),Vertex_handle(11),Vertex_handle(12),Vertex_handle(13));
+ Simplex_handle alpha(Vertex_handle(12),Vertex_handle(14));
+ Skeleton_blocker_link_complex<Complex> L(complex,alpha);
+ // Complexes built
+
+ // verification
+ bool test1 = L.contains_vertex(*L.get_address(Root_vertex_handle(10)));
+ bool test2 = L.contains_vertex(*L.get_address(Root_vertex_handle(11)));
+ bool test3 = L.contains_vertex(*L.get_address(Root_vertex_handle(13)));
+ bool test4 = L.num_edges()==3;
+ bool test5 = L.num_blockers()==1;
+ Root_simplex_handle simplex;
+ simplex.add_vertex(Root_vertex_handle(10));
+ simplex.add_vertex(Root_vertex_handle(11));
+ simplex.add_vertex(Root_vertex_handle(13));
+ bool test6 = L.contains_blocker(*(L.get_simplex_address(simplex)));
+ cerr <<"----> Ocomplex \n";
+ return test1&&test2&&test3&&test4&&test5&&test6 ;
+
+}
+
+bool test_link5(){
+ Complex complex(0,new Print_complex_visitor<Vertex_handle>());
+ // Build the complexes
+ build_complete(4,complex);
+ complex.add_blocker(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2),Vertex_handle(3));
+
+ Simplex_handle alpha(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2));
+
+
+ Skeleton_blocker_link_complex<Complex> L(complex,alpha); // Complexes built
+
+ // Print result
+ PRINT(complex.to_string());
+ cerr <<endl<<endl;
+ PRINT(L.to_string());
+
+ // verification
+ return L.num_vertices()==0;
+}
+
+bool test_link6(){
+ Complex complex(0,new Print_complex_visitor<Vertex_handle>());
+ // Build the complexes
+ build_complete(4,complex);
+ complex.add_blocker(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2));
+
+ Simplex_handle alpha(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2));
+
+ Skeleton_blocker_link_complex<Complex> link_blocker_alpha;
+
+ build_link_of_blocker(complex,alpha,link_blocker_alpha);
+
+ // Print result
+ PRINT(complex.to_string());
+ cerr <<endl<<endl;
+ PRINT(link_blocker_alpha.to_string());
+
+ // verification
+ return link_blocker_alpha.num_vertices()==1;
+}
+
+
+bool test_link7(){
+ Complex complex(0,new Print_complex_visitor<Vertex_handle>());
+ // Build the complexes
+ build_complete(6,complex);
+ complex.add_vertex();
+ complex.add_vertex();
+ for(int i = 3; i<6; ++i){
+ complex.add_edge(Vertex_handle(i),Vertex_handle(6));
+ complex.add_edge(Vertex_handle(i),Vertex_handle(7));
+ }
+ complex.add_edge(Vertex_handle(6),Vertex_handle(7));
+ complex.add_blocker(Vertex_handle(0),Vertex_handle(1),Vertex_handle(2));
+ complex.add_blocker(Vertex_handle(3),Vertex_handle(4),Vertex_handle(5));
+
+ Simplex_handle alpha(Vertex_handle(3),Vertex_handle(4),Vertex_handle(5));
+
+ Skeleton_blocker_link_complex<Complex> link_blocker_alpha;
+
+ build_link_of_blocker(complex,alpha,link_blocker_alpha);
+
+ //the result should be the edge {6,7} plus the blocker {0,1,2}
+
+ // Print result
+ PRINT(complex.to_string());
+ cerr <<endl<<endl;
+ DBGVALUE(link_blocker_alpha.to_string());
+
+ Skeleton_blocker_link_complex<Complex> link_blocker_alpha_cpy = link_blocker_alpha;
+
+ DBGVALUE(link_blocker_alpha_cpy.to_string());
+
+ bool equal_complexes =
+ (link_blocker_alpha.num_vertices() == link_blocker_alpha_cpy.num_vertices())
+ &&(link_blocker_alpha.num_blockers() == link_blocker_alpha_cpy.num_blockers())
+ &&(link_blocker_alpha.num_edges() == link_blocker_alpha_cpy.num_edges())
+ ;
+ DBGVALUE((link_blocker_alpha.num_blockers() == link_blocker_alpha_cpy.num_blockers()));
+ DBGVALUE((link_blocker_alpha.num_blockers() ));
+ DBGVALUE(( link_blocker_alpha_cpy.num_blockers()));
+
+ DBGVALUE(equal_complexes);
+
+ // verification
+ return link_blocker_alpha.num_vertices()==5 && link_blocker_alpha.num_edges()==4 && link_blocker_alpha.num_blockers()==1 && equal_complexes;
+}
+
+
+
+
+
+
+
+
+template<typename SimplexHandle>
+void add_triangle_edges(int a,int b,int c,list<SimplexHandle>& simplices){
+ typedef SimplexHandle Simplex_handle;
+ typedef typename SimplexHandle::Vertex_handle Vertex_handle;
+
+ simplices.push_back(Simplex_handle(Vertex_handle(a),Vertex_handle(b) ));
+ simplices.push_back(Simplex_handle(Vertex_handle(b),Vertex_handle(c) ));
+ simplices.push_back(Simplex_handle(Vertex_handle(c),Vertex_handle(a) ));
+}
+
+template<typename SimplexHandle>
+void add_triangle(int a,int b,int c,list<SimplexHandle>& simplices){
+ typedef SimplexHandle Simplex_handle;
+ typedef typename SimplexHandle::Vertex_handle Vertex_handle;
+ simplices.push_back(Simplex_handle(Vertex_handle(a),Vertex_handle(b),Vertex_handle(c)));
+}
+
+bool test_constructor(){
+ list <Simplex_handle> simplices;
+
+ simplices.push_back(Simplex_handle(Vertex_handle(0)));
+ simplices.push_back(Simplex_handle(Vertex_handle(1)));
+ simplices.push_back(Simplex_handle(Vertex_handle(2)));
+ simplices.push_back(Simplex_handle(Vertex_handle(3)));
+ simplices.push_back(Simplex_handle(Vertex_handle(4)));
+ simplices.push_back(Simplex_handle(Vertex_handle(5)));
+
+ simplices.push_back(Simplex_handle(Vertex_handle(3),Vertex_handle(5) ));
+
+ add_triangle_edges(0,1,5,simplices);
+ add_triangle_edges(1,2,3,simplices);
+ add_triangle_edges(2,3,4,simplices);
+ add_triangle_edges(1,3,4,simplices);
+ add_triangle_edges(1,2,4,simplices);
+
+
+ add_triangle(0,1,5,simplices);
+ add_triangle(1,2,3,simplices);
+ add_triangle(2,3,4,simplices);
+ add_triangle(1,3,4,simplices);
+ add_triangle(1,2,4,simplices);
+
+
+ Complex complex(simplices);
+
+ PRINT(complex.to_string());
+
+ return ( complex.num_vertices()==6&&complex.num_edges()==10&& complex.num_blockers()==2);
+}
+
+
+list<Simplex_handle> subfaces(Simplex_handle top_face){
+ list<Simplex_handle> res;
+ if(top_face.dimension()==-1) return res;
+ if(top_face.dimension()==0) {
+ res.push_back(top_face);
+ return res;
+ }
+ else{
+ Vertex_handle first_vertex = top_face.first_vertex();
+ top_face.remove_vertex(first_vertex);
+ res = subfaces(top_face);
+ list<Simplex_handle> copy = res;
+ for(auto& simplex : copy){
+ simplex.add_vertex(first_vertex);
+ }
+ res.push_back(Simplex_handle(first_vertex));
+ res.splice(res.end(),copy);
+ return res;
+ }
+}
+
+
+bool test_constructor2(){
+ Simplex_handle simplex;
+ for(int i =0 ; i < 5;++i)
+ simplex.add_vertex(i);
+
+ list <Simplex_handle> simplices(subfaces(simplex));
+ simplices.remove(simplex);
+
+ Complex complex(simplices);
+
+ PRINT(complex.to_string());
+
+ for(auto b : complex.const_blocker_range()){
+ cout << "b:"<<b<<endl;
+ }
+
+ return ( complex.num_vertices()==5&&complex.num_edges()==10&& complex.num_blockers()==1);
+}
+
+
+
+
+int main (int argc, char *argv[])
+{
+ Tests tests_complex;
+ tests_complex.add("test simplex",test_simplex);
+ tests_complex.add("test_link0",test_link0);
+ tests_complex.add("test_link1",test_link1);
+ tests_complex.add("test_link2",test_link2);
+ tests_complex.add("test_link3",test_link3);
+ tests_complex.add("test_link4",test_link4);
+ tests_complex.add("test_link5",test_link5);
+ tests_complex.add("test_link6",test_link6);
+ tests_complex.add("test_link7",test_link7);
+
+ tests_complex.add("test iterator vertices 1",test_iterator_vertices1);
+ tests_complex.add("test iterator vertices 2",test_iterator_vertices2);
+ tests_complex.add("test iterator edges",test_iterator_edge);
+ tests_complex.add("test iterator edges 2",test_iterator_edge2);
+ tests_complex.add("test iterator edges 3",test_iterator_edge3);
+
+ tests_complex.add("test iterator simplices",test_iterator_simplices);
+ tests_complex.add("test iterator simplices2",test_iterator_simplices2);
+ tests_complex.add("test iterator simplices3",test_iterator_simplices3);
+ tests_complex.add("test iterator simplices4",test_iterator_simplices4);
+
+
+ tests_complex.add("test iterator blockers",test_iterator_blockers);
+ tests_complex.add("test_iterator_triangles",test_iterator_triangles);
+
+ tests_complex.add("test_constructor_list_simplices",test_constructor);
+ tests_complex.add("test_constructor_list_simplices2",test_constructor2);
+
+ if(tests_complex.run()){
+ return EXIT_SUCCESS;
+ }
+ else{
+ return EXIT_FAILURE;
+ }
+
+ // test_iterator_simplices();
+}
+
diff --git a/src/cmake/modules/FindGMP.cmake b/src/cmake/modules/FindGMP.cmake
new file mode 100644
index 00000000..de57646f
--- /dev/null
+++ b/src/cmake/modules/FindGMP.cmake
@@ -0,0 +1,56 @@
+# - Try to find the GMP libraries
+# This module defines:
+# GMP_FOUND - system has GMP lib
+# GMP_INCLUDE_DIR - the GMP include directory
+# GMP_LIBRARIES_DIR - directory where the GMP libraries are located
+# GMP_LIBRARIES - Link these to use GMP
+# GMP_IN_CGAL_AUXILIARY - TRUE if the GMP found is the one distributed with CGAL in the auxiliary folder
+
+# TODO: support MacOSX
+
+include(FindPackageHandleStandardArgs)
+#include(CGAL_GeneratorSpecificSettings)
+
+if(GMP_INCLUDE_DIR)
+ set(GMP_in_cache TRUE)
+else()
+ set(GMP_in_cache FALSE)
+endif()
+if(NOT GMP_LIBRARIES)
+ set(GMP_in_cache FALSE)
+endif()
+
+# Is it already configured?
+if (GMP_in_cache)
+
+ set(GMP_FOUND TRUE)
+
+else()
+
+ find_path(GMP_INCLUDE_DIR
+ NAMES gmp.h
+ HINTS ENV GMP_INC_DIR
+ ENV GMP_DIR
+ PATH_SUFFIXES include
+ DOC "The directory containing the GMP header files"
+ )
+
+ find_library(GMP_LIBRARIES NAMES gmp libgmp-10
+ HINTS ENV GMP_LIB_DIR
+ ENV GMP_DIR
+ PATH_SUFFIXES lib
+ DOC "Path to the GMP library"
+ )
+
+ if ( GMP_LIBRARIES )
+ get_filename_component(GMP_LIBRARIES_DIR ${GMP_LIBRARIES} PATH CACHE )
+ endif()
+
+ # Attempt to load a user-defined configuration for GMP if couldn't be found
+ if ( NOT GMP_INCLUDE_DIR OR NOT GMP_LIBRARIES_DIR )
+ include( GMPConfig OPTIONAL )
+ endif()
+
+ find_package_handle_standard_args(GMP "DEFAULT_MSG" GMP_LIBRARIES GMP_INCLUDE_DIR)
+
+endif()
diff --git a/src/cmake/modules/FindGMPXX.cmake b/src/cmake/modules/FindGMPXX.cmake
new file mode 100644
index 00000000..277e4b19
--- /dev/null
+++ b/src/cmake/modules/FindGMPXX.cmake
@@ -0,0 +1,44 @@
+# - Try to find the GMPXX libraries
+# This module defines:
+# GMPXX_FOUND - system has GMPXX lib
+# GMPXX_INCLUDE_DIR - the GMPXX include directory
+# GMPXX_LIBRARIES - Libraries needed to use GMPXX
+
+# TODO: support Windows and MacOSX
+
+# GMPXX needs GMP
+
+find_package( GMP QUIET )
+
+if(GMP_FOUND)
+
+ if (GMPXX_INCLUDE_DIR AND GMPXX_LIBRARIES)
+ # Already in cache, be silent
+ set(GMPXX_FIND_QUIETLY TRUE)
+ endif()
+
+ find_path(GMPXX_INCLUDE_DIR NAMES gmpxx.h
+ HINTS ENV GMPXX_INC_DIR
+ ENV GMPXX_DIR
+ ${GMP_INCLUDE_DIR_SEARCH}
+ PATH_SUFFIXES include
+ DOC "The directory containing the GMPXX include files"
+ )
+
+ find_library(GMPXX_LIBRARIES NAMES gmpxx
+ HINTS ENV GMPXX_LIB_DIR
+ ENV GMPXX_DIR
+ ${GMP_LIBRARIES_DIR_SEARCH}
+ PATH_SUFFIXES lib
+ DOC "Path to the GMPXX library"
+ )
+
+ include(FindPackageHandleStandardArgs)
+
+ find_package_handle_standard_args(GMPXX "DEFAULT_MSG" GMPXX_LIBRARIES GMPXX_INCLUDE_DIR )
+
+else()
+
+ message( FATAL_ERROR "GMPXX needs GMP")
+
+endif()
diff --git a/src/common/doc/main_page.h b/src/common/doc/main_page.h
new file mode 100644
index 00000000..4e36066f
--- /dev/null
+++ b/src/common/doc/main_page.h
@@ -0,0 +1,52 @@
+/**
+\mainpage
+
+The Gudhi library (Geometric Understanding in Higher Dimensions) is a generic C++ library for
+computational topology. Its goal is to provide robust, efficient, flexible and easy to use
+implementations of
+state-of-the-art algorithms and data structures for computational topology. We refer to
+\cite gudhilibrary_ICMS14
+for a detailed description of the design of the library.
+
+The current release of the library allows the user to construct representations of simplicial complexes --
+simplex tree or Hasse diagram -- from a point
+cloud (Rips complex) or
+a list of simplices, and to compute their persistent homology with coefficients in a field
+\f$\mathbb{Z}/p\mathbb{Z}\f$ (for an arbitrary prime \f$p\f$), or simultaneously with coefficients
+in a family of fields (multi-field persistent homology).
+
+
+To build the library, run the following in a terminal:
+
+\verbatim
+cd /path-to-gudhi/
+mkdir build
+cd build/
+cmake -DCMAKE_BUILD_TYPE=Release ..
+make
+\endverbatim
+
+The library has dependencies with Boost 1.48.0 or more recent (required): http://www.boost.org/
+and with GMP: https://gmplib.org/ The dependency with GMP is optional, and is used only for the
+multi-field persistent homology algorithm.
+
+
+We provide example files: run these examples with -h for details on their use, and read the README file.
+
+\li <CODE>rips_persistence.cpp</CODE> computes the Rips complex of a point cloud and its persistence diagram.
+
+\li <CODE>rips_multifield_persistence.cpp</CODE> computes the Rips complex of a point cloud and its persistence diagram
+with a family of field coefficients.
+
+\li <CODE>performance_rips_persistence.cpp</CODE> provides timings for the construction of the Rips complex on a set of
+points sampling a Klein bottle in \f$\mathbb{R}^5\f$ with a simplex tree, its conversion to a
+Hasse diagram and the computation of persistent homology and multi-field persistent homology for the
+different representations.
+
+
+\details
+
+\copyright GNU General Public License v3.
+\verbatim Contact: Clément Maria, clement.maria@inria.fr \endverbatim
+
+*/ \ No newline at end of file
diff --git a/src/common/include/gudhi/Clock.h b/src/common/include/gudhi/Clock.h
new file mode 100644
index 00000000..ea21659e
--- /dev/null
+++ b/src/common/include/gudhi/Clock.h
@@ -0,0 +1,67 @@
+/*
+ * Clock.h
+ *
+ * Created on: Jun 17, 2014
+ * Author: dsalinas
+ */
+
+#ifndef GUDHI_CLOCK_H_
+#define GUDHI_CLOCK_H_
+
+
+#include <boost/date_time/posix_time/posix_time.hpp>
+
+class Clock{
+
+public:
+ Clock():end_called(false){
+ startTime = boost::posix_time::microsec_clock::local_time( );
+ }
+
+ Clock(const std::string& msg_){
+ end_called = false;
+ begin();
+ msg = msg_;
+ }
+
+
+ void begin() const{
+ end_called = false;
+ startTime = boost::posix_time::microsec_clock::local_time( );
+ }
+
+ void end() const{
+ end_called = true;
+ endTime = boost::posix_time::microsec_clock::local_time( );
+ }
+
+ void print() const{
+ std::cout << *this << std::endl;
+ }
+
+ friend std::ostream& operator<< (std::ostream& stream,const Clock& clock){
+ if(!clock.end_called)
+ clock.end();
+
+ if(!clock.end_called) stream << "end not called";
+ else{
+ stream << clock.msg <<":"<<clock.num_seconds() <<"s";
+ }
+ return stream;
+
+ }
+
+ double num_seconds() const{
+ if(!end_called) return -1;
+ return (endTime-startTime).total_milliseconds()/1000.;
+ }
+
+private:
+ mutable boost::posix_time::ptime startTime, endTime;
+ mutable bool end_called;
+ std::string msg;
+
+};
+
+
+#endif /* GUDHI_CLOCK_H_ */
diff --git a/src/common/include/gudhi/Off_reader.h b/src/common/include/gudhi/Off_reader.h
new file mode 100644
index 00000000..a9c64f97
--- /dev/null
+++ b/src/common/include/gudhi/Off_reader.h
@@ -0,0 +1,177 @@
+/*
+ * Off_reader.h
+ * Created on: Nov 28, 2014
+ * 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): David Salinas
+ *
+ * Copyright (C) 2014 INRIA Sophia Antipolis-Méditerranée (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 GUDHI_OFF_READER_H_
+#define GUDHI_OFF_READER_H_
+
+
+#include <sstream>
+#include <iostream>
+#include <iterator>
+
+
+namespace Gudhi {
+
+/**
+ * Read an off file and calls a visitor methods while reading it.
+ * An off file must have its first/snd line in this format :
+ * OFF
+ * num_vert num_faces num_edges
+ *
+ * A noff file must have its first/snd line in this format :
+ * nOFF
+ * dim num_vert num_faces num_edges
+ *
+ * The number of edges num_edges is optional and can be left to zero.
+ */
+class Off_reader{
+public:
+ Off_reader(std::ifstream& stream):stream_(stream){
+ }
+// Off_reader(const std::string& name):stream_(name){
+// if(!stream_.is_open())
+// std::cerr <<"could not open file \n";
+// }
+
+ ~Off_reader(){
+ stream_.close();
+ }
+
+ /**
+ * read an off file and calls the following methods :
+ * void init(int dim,int num_vertices,int num_faces,int num_edges); //num_edges may not be set
+ * void point(const std::vector<double>& point);
+ * void maximal_face(const std::list<int>& face);
+ * void done();
+ * of the visitor when reading a point or a maximal face.
+ */
+ template<typename OffVisitor>
+ bool read(OffVisitor& off_visitor){
+ bool success_read_off_preambule = read_off_preambule(off_visitor);
+ if(!success_read_off_preambule) {
+ std::cerr <<"could not read off preambule\n";
+ return false;
+ }
+
+ bool success_read_off_points = read_off_points(off_visitor);
+ if(!success_read_off_points) {
+ std::cerr <<"could not read off points\n";
+ return false;
+ }
+
+ bool success_read_off_faces = read_off_faces(off_visitor);
+ if(!success_read_off_faces) {
+ std::cerr <<"could not read off faces\n";
+ return false;
+ }
+
+ off_visitor.done();
+ return success_read_off_preambule && success_read_off_points && success_read_off_faces;
+ }
+
+private:
+ std::ifstream& stream_;
+
+ struct Off_info{
+ int dim;
+ int num_vertices;
+ int num_edges;
+ int num_faces;
+ };
+
+ Off_info off_info_;
+
+ template<typename OffVisitor>
+ bool read_off_preambule(OffVisitor& off_visitor){
+ std::string line;
+ if(!goto_next_uncomment_line(line)) return false;
+
+ bool is_off_file = (line.find("OFF") != std::string::npos);
+ bool is_noff_file = (line.find("nOFF") != std::string::npos);
+
+ if(!is_off_file && !is_noff_file) return false;
+
+ if(!goto_next_uncomment_line(line)) return false;
+ std::istringstream iss(line);
+ if(is_off_file){
+ off_info_.dim = 3;
+ if(!(iss >> off_info_.num_vertices >> off_info_.num_faces >> off_info_.num_edges))
+ return false;
+ }
+ else
+ if(!(iss >> off_info_.dim >> off_info_.num_vertices >> off_info_.num_faces >> off_info_.num_edges))
+ return false;
+ off_visitor.init(off_info_.dim,off_info_.num_vertices,off_info_.num_faces,off_info_.num_edges);
+
+ return true;
+ }
+
+ bool goto_next_uncomment_line(std::string& uncomment_line){
+ uncomment_line.clear();
+ do
+ std::getline(stream_, uncomment_line);
+ while(uncomment_line[0] == '%');
+ return (uncomment_line.size()>0 && uncomment_line[0] != '%');
+ }
+
+
+ template<typename OffVisitor>
+ bool read_off_points(OffVisitor& visitor){
+ int num_vertices_to_read = off_info_.num_vertices;
+ while(num_vertices_to_read--){
+ std::string line;
+ if(!goto_next_uncomment_line(line)) return false;
+ std::vector<double> point;
+ std::istringstream iss(line);
+ point.assign(std::istream_iterator<double>(iss),std::istream_iterator<double>());
+// if(point.size() != off_info_.dim) return false;
+ visitor.point(point);
+ }
+ return true;
+ }
+
+ template<typename OffVisitor>
+ bool read_off_faces(OffVisitor& visitor){
+ std::string line;
+ while(goto_next_uncomment_line(line)){
+ std::istringstream iss(line);
+ int num_face_vertices;
+ iss >> num_face_vertices;
+ std::vector<int> face;
+ face.assign(std::istream_iterator<int>(iss),std::istream_iterator<int>());
+ if(!face.size() == off_info_.num_vertices) return false;
+ visitor.maximal_face(face);
+ }
+ return true;
+ }
+};
+
+
+} // namespace Gudhi
+
+
+#endif /* GUDHI_OFF_READER_H_ */
diff --git a/src/common/include/gudhi/Test.h b/src/common/include/gudhi/Test.h
new file mode 100644
index 00000000..18b7ca82
--- /dev/null
+++ b/src/common/include/gudhi/Test.h
@@ -0,0 +1,85 @@
+#ifndef __TEST_H
+#define __TEST_H
+
+#include <list>
+#include <string>
+#include <vector>
+#include <sstream>
+#include <iostream>
+
+
+#define TEST(a) std::cout << "TEST: " << (a)<<std::endl
+#define TESTMSG(a,b) std::cout << "TEST: " << a<<b<<std::endl
+#define TESTVALUE(a) std::cout << "TEST: " << #a << ": " << a<<std::endl
+
+
+/**
+ * Class to perform test
+ */
+
+class Test
+{
+private :
+ std::string name;
+ bool (*test)();
+
+ std::string separation() const{
+ return "+++++++++++++++++++++++++++++++++++++++++++++++++\n";
+ }
+
+ std::string print_between_plus(std::string& s) const{
+ std::stringstream res;
+ res << "+++++++++++++++++"<<s<<"+++++++++++++++++\n";
+ return res.str();
+ }
+
+
+public:
+ Test(std::string name_,bool (*test_)()){
+ name=name_;
+ test =test_;
+ }
+
+ bool run(){
+ std::cout << print_between_plus(name);
+ return test();
+ }
+ std::string getName(){
+ return name;
+ }
+};
+
+
+class Tests
+{
+private:
+ std::list<Test> tests;
+
+public:
+ void add(std::string name_,bool (*test_)()){
+ Test test(name_,test_);
+ tests.push_back(test);
+ }
+ bool run(){
+ bool tests_succesful(true);
+ std::vector<bool> res;
+ for (Test test : tests){
+ res.push_back(test.run());
+ }
+ std::cout << "\n\n results of tests : "<<std::endl;
+ int i=0;
+ for (Test t : tests){
+ std::cout << "Test "<<i<< " \""<<t.getName()<<"\" --> ";
+ if (res[i++]) std::cout << "OK"<<std::endl;
+ else {
+ std::cout << "Fail"<<std::endl;
+ tests_succesful = false;
+ break;
+ }
+ }
+ return tests_succesful;
+
+ }
+};
+
+#endif
diff --git a/src/common/include/gudhi/Utils.h b/src/common/include/gudhi/Utils.h
new file mode 100644
index 00000000..cef361dc
--- /dev/null
+++ b/src/common/include/gudhi/Utils.h
@@ -0,0 +1,34 @@
+/*
+ * Utils.h
+ *
+ * Created on: 13 juin 2013
+ * Author: salinasd
+ */
+
+#ifndef GUDHI_UTILS_H_
+#define GUDHI_UTILS_H_
+
+
+#define PRINT(a) std::cerr << #a << ": " << (a) << " (DISP)"<<std::endl
+
+//#define DBG_VERBOSE
+#ifdef DBG_VERBOSE
+#define DBG(a) std::cerr << "DBG: " << (a)<<std::endl
+#define DBGMSG(a,b) std::cerr << "DBG: " << a<<b<<std::endl
+#define DBGVALUE(a) std::cerr << "DBG: " << #a << ": " << a<<std::endl
+#define DBGCONT(a) std::cerr << "DBG: container "<< #a<<" -> "; for(auto x:a) std::cerr<< x << ","; std::cerr<<std::endl
+#else
+//#define DBG(a) a
+//#define DBGMSG(a,b) b
+//#define DBGVALUE(a) a
+//#define DBGCONT(a) a
+#define DBG(a)
+#define DBGMSG(a,b)
+#define DBGVALUE(a)
+#define DBGCONT(a)
+#endif
+
+
+
+
+#endif /* UTILS_H_ */
diff --git a/src/common/include/gudhi/distance_functions.h b/src/common/include/gudhi/distance_functions.h
new file mode 100644
index 00000000..7a2ab035
--- /dev/null
+++ b/src/common/include/gudhi/distance_functions.h
@@ -0,0 +1,37 @@
+ /* 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 Sophia Antipolis-Méditerranée (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/>.
+ */
+
+/* Compute the Euclidean distance between two Points given
+ * by a range of coordinates. The points are assumed to have
+ * the same dimension. */
+template< typename Point >
+double euclidean_distance( Point &p1, Point &p2)
+{
+ double dist = 0.;
+ auto it1 = p1.begin(); auto it2 = p2.begin();
+ for(; it1 != p1.end(); ++it1, ++it2)
+ {
+ double tmp = *it1 - *it2;
+ dist += tmp*tmp;
+ }
+ return sqrt(dist);
+}
diff --git a/src/common/include/gudhi/graph_simplicial_complex.h b/src/common/include/gudhi/graph_simplicial_complex.h
new file mode 100644
index 00000000..e7a8cfe9
--- /dev/null
+++ b/src/common/include/gudhi/graph_simplicial_complex.h
@@ -0,0 +1,96 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_GRAPH_SIMPLICIAL_COMPLEX_FILTRATION_TAG_H
+#define GUDHI_GRAPH_SIMPLICIAL_COMPLEX_FILTRATION_TAG_H
+
+#include <boost/graph/adjacency_list.hpp>
+
+/* Edge tag for Boost PropertyGraph. */
+struct edge_filtration_t {
+ typedef boost::edge_property_tag kind;
+};
+/* Vertex tag for Boost PropertyGraph. */
+struct vertex_filtration_t {
+ typedef boost::vertex_property_tag kind;
+};
+
+typedef int Vertex_handle;
+typedef double Filtration_value;
+typedef boost::adjacency_list < boost::vecS, boost::vecS, boost::undirectedS
+ , boost::property < vertex_filtration_t, Filtration_value >
+ , boost::property < edge_filtration_t, Filtration_value >
+ > Graph_t;
+typedef std::pair< Vertex_handle, Vertex_handle > Edge_t;
+
+/** \brief 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 PointCloud
+ , typename Point >
+Graph_t compute_proximity_graph( PointCloud &points
+ , Filtration_value threshold
+ , Filtration_value distance(Point p1, Point p2) )
+{
+ std::vector< Edge_t > edges;
+ std::vector< Filtration_value > edges_fil;
+ std::map< Vertex_handle, Filtration_value > vertices;
+
+ 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 ( tie(vi, vi_end) = boost::vertices(skel_graph);
+ vi != vi_end; ++vi )
+ { boost::put(vertex_prop, *vi, 0.); }
+
+ return skel_graph;
+}
+
+#endif // GUDHI_GRAPH_SIMPLICIAL_COMPLEX_FILTRATION_TAG_H
diff --git a/src/common/include/gudhi/iofile.h b/src/common/include/gudhi/iofile.h
new file mode 100644
index 00000000..b939d45b
--- /dev/null
+++ b/src/common/include/gudhi/iofile.h
@@ -0,0 +1,236 @@
+//todo remove and use off_reader instead
+
+#ifndef GUDHI_IOFILE_H_
+#define GUDHI_IOFILE_H_
+
+#include <iostream>
+#include <fstream>
+#include <sstream>
+#include <vector>
+#include <cstdio>
+#include <cstring>
+#include <list>
+#include <cassert>
+
+
+
+//todo use my new visitor based off instead
+/**
+ * @brief OFF reader, save the content of the file (vertices and maximal faces) in 'complex'.
+ * The class Complex has to handle the following operations:
+ * - void add_vertex(double[dim],int dim)
+ * - void add_face(int dimension ,int[dimension] vertices)
+ * Source from : http://www.holmes3d.net/graphics/offfiles/OFFLoading.txt
+ *
+ * @todo todo ignore comments in the file -> # comment
+ */
+template<typename Complex> inline
+bool general_read_off_file(const std::string & file_name, Complex& complex){
+ // Declare temporary variables to read data into.
+ // If the read goes well, we'll copy these into
+ // our class variables, overwriting what used to
+ // be there. If it doesn't, we won't have messed up
+ // our previous data structures.
+ int tempNumPoints = 0; // Number of x,y,z coordinate triples
+ int tempNumFaces = 0; // Number of polygon sets
+ int tempNumEdges = 0; // Unused, except for reading.
+ int tempDimPoints = 0;
+ double** tempPoints = NULL; // An array of x,y,z coordinates.
+ int** tempFaces = NULL; // An array of arrays of point
+ // pointers. Each entry in this
+ // is an array of integers. Each
+ // integer in that array is the
+ // index of the x, y, and z
+ // coordinates in the corresponding
+ // arrays.
+ int* tempFaceSizes = NULL; // An array of polygon point counts.
+ // Each of the arrays in the tempFaces
+ // array may be of different lengths.
+ // This array corresponds to that
+ // array, and gives their lengths.
+ int i; // Generic loop variable.
+ bool goodLoad = true; // Set to false if the file appears
+ // not to be a valid OFF file.
+ char tempBuf[128]; // A buffer for reading strings
+ // from the file.
+
+ // Create an input file stream for the file the CArchive
+ // is connected to. This allows use of the overloaded
+ // extraction operator for conversion from string
+ // data to doubles and ints.
+ std::ifstream ifs (file_name.c_str(), std::ios::in);
+ if(!ifs.is_open()) {
+ std::cerr << "Unable to open file " << file_name << std::endl;
+ return false;
+ }
+
+ // Grab the first string. If it's "OFF", we think this
+ // is an OFF file and continue. Otherwise we give up.
+ ifs >> tempBuf;
+ if (strcmp(tempBuf, "OFF") != 0) {
+ goodLoad = false;
+ std::cerr << "No OFF preambule\n";
+ }
+
+ // Read the sizes for our two arrays, and the third
+ // int on the line. If the important two are zero
+ // sized, this is a messed up OFF file. Otherwise,
+ // we setup our temporary arrays.
+ if (goodLoad) {
+ ifs >> tempNumPoints >> tempNumFaces >> tempNumEdges;
+ if (tempNumPoints < 1 || tempNumFaces < 0) {
+ // If either of these were negative, we make
+ // sure that both are set to zero. This is
+ // important for later deleting our temporary
+ // storage.
+ goodLoad = false;
+ std::cerr << "tempNumPoints < 1 || tempNumFaces < 0\n";
+ tempNumPoints = 0;
+ tempNumFaces = 0;
+ } else {
+ tempPoints = new double*[tempNumPoints];
+ tempFaces = new int*[tempNumFaces];
+ tempFaceSizes = new int[tempNumFaces];
+ }
+ }
+
+ if (goodLoad) {
+ // Load all of the points.
+
+ // we start by loading the first one
+ // the case is difference because then we dont know the dimension by advance
+ // we discover the point dimension by reading the first line
+ std::string lineFirstPoint;
+ std::getline(ifs, lineFirstPoint);
+ while(lineFirstPoint.size()<3){
+ std::getline(ifs, lineFirstPoint);
+ }
+
+ // we store the first point in a temporary list
+ std::istringstream lineFirstPointStream(lineFirstPoint);
+ std::list<double> firstTempPoint;
+ double coord;
+ while(lineFirstPointStream>>coord){
+ firstTempPoint.push_back(coord);
+ ++tempDimPoints;
+ }
+ // we store the point in our points array
+ tempPoints[0]=new double[tempDimPoints];
+ for( int j = 0 ; j<tempDimPoints; ++j){
+ tempPoints[0][j] = firstTempPoint.front();
+ firstTempPoint.pop_front();
+ }
+
+ // now, we know the dimension and can read safely other points
+ for (i = 1; i < tempNumPoints; i++) {
+ tempPoints[i] = new double[tempDimPoints];
+ for (int j = 0 ; j<tempDimPoints ; ++j){
+ ifs>>tempPoints[i][j];
+ }
+ }
+
+ // Load all of the faces.
+ for (i = 0; i < tempNumFaces; i++) {
+ // This tells us how many points make up
+ // this face.
+ ifs >> tempFaceSizes[i];
+ // So we declare a new array of that size
+ tempFaces[i] = new int[tempFaceSizes[i]];
+ // And load its elements with the vertex indices.
+ for (int j = 0; j < tempFaceSizes[i]; j++) {
+ ifs >> tempFaces[i][j];
+ }
+ // Clear out any face color data by reading up to
+ // the newline. 128 is probably considerably more
+ // space than necessary, but better safe than
+ // sorry.
+ ifs.getline(tempBuf, 128);
+ }
+ }
+
+ // Here is where we copy the data from the temp
+ // structures into our permanent structures. We
+ // probably will do some more processing on the
+ // data at the same time. This code you must fill
+ // in on your own.
+ if (goodLoad) {
+ // we save vertices first in the complex
+ for (i = 0; i < tempNumPoints; i++)
+ complex.add_vertex(tempPoints[i],tempDimPoints);
+
+ // we save faces
+ for (i = 0; i < tempNumFaces; i++) {
+ for (int j = 0; j < tempFaceSizes[i]; j++)
+ complex.add_face(tempFaceSizes[i],tempFaces[i]);
+ }
+ }
+
+ // Now that we're done, we have to make sure we
+ // free our dynamic memory.
+ for (i = 0; i < tempNumPoints; i++) {
+ delete []tempPoints[i];
+ }
+ delete []tempPoints;
+
+ for (i = 0; i < tempNumFaces; i++) {
+ delete tempFaces[i];
+ }
+ delete []tempFaces;
+ delete []tempFaceSizes;
+
+ // Clean up our ifstream. The MFC framework will
+ // take care of the CArchive.
+ ifs.close();
+
+ return goodLoad;
+}
+
+
+template<typename Complex>
+class Geometric_flag_complex_wrapper{
+ Complex& complex_;
+ typedef typename Complex::Vertex_handle Vertex_handle;
+ typedef typename Complex::Point Point;
+
+ const bool load_only_points_;
+
+public:
+ Geometric_flag_complex_wrapper(Complex& complex,bool load_only_points = false):
+ complex_(complex),
+ load_only_points_(load_only_points)
+{}
+
+
+ void add_vertex(double* xyz,int dim){
+ Point p(dim);
+ for(int i=0;i<dim;++i)
+ p[i] = xyz[i];
+ complex_.add_vertex(p);
+ }
+
+ void add_face(int dimension ,int* vertices){
+ if (!load_only_points_){
+ for (int i = 0; i<dimension ; ++i)
+ for (int j = i+1; j<dimension ; ++j)
+ complex_.add_edge(Vertex_handle(vertices[i]),Vertex_handle(vertices[j]));
+ }
+ }
+};
+
+
+
+
+/**
+ * @brief Read a mesh into a OFF file
+ * load_only_points should be true if only the points have to be loaded.
+ */
+template<typename Complex>
+bool read_off_file(std::string file_name,Complex &complex,bool load_only_points = false){
+ complex.clear();
+ Geometric_flag_complex_wrapper<Complex> complex_wrapper(complex,load_only_points);
+ return general_read_off_file(file_name,complex_wrapper);
+
+}
+
+
+#endif
diff --git a/src/common/include/gudhi/reader_utils.h b/src/common/include/gudhi/reader_utils.h
new file mode 100644
index 00000000..5c8cbeb7
--- /dev/null
+++ b/src/common/include/gudhi/reader_utils.h
@@ -0,0 +1,181 @@
+ /* 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 Sophia Antipolis-Méditerranée (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 GUDHI_READER_UTILS_H
+#define GUDHI_READER_UTILS_H
+
+#include <iostream>
+#include <fstream>
+#include <boost/graph/adjacency_list.hpp>
+#include "gudhi/graph_simplicial_complex.h"
+
+/**
+ * \brief Read a set of points to turn it
+ * into a vector< vector<double> > by filling points
+ *
+ * File format: 1 point per line
+ * X11 X12 ... X1d
+ * X21 X22 ... X2d
+ * etc
+ */
+inline void
+read_points ( std::string file_name
+ , std::vector< std::vector< double > > & points)
+{
+ std::ifstream in_file (file_name.c_str(),std::ios::in);
+ if(!in_file.is_open()) {
+ std::cerr << "Unable to open file " << file_name << std::endl;
+ return;}
+
+ std::string line;
+ double x;
+ while( getline ( in_file , line ) )
+ {
+ std::vector< double > point;
+ std::istringstream iss( line );
+ while(iss >> x) { point.push_back(x); }
+ points.push_back(point);
+ }
+ in_file.close();
+}
+
+/**
+ * \brief Read a graph from a file.
+ *
+ * File format: 1 simplex per line
+ * Dim1 X11 X12 ... X1d Fil1
+ * Dim2 X21 X22 ... X2d Fil2
+ * etc
+ *
+ * The vertices must be labeled from 0 to n-1.
+ * Every simplex must appear exactly once.
+ * Simplices of dimension more than 1 are ignored.
+ */
+inline Graph_t
+read_graph ( std::string file_name )
+{
+ std::ifstream in_ (file_name.c_str(),std::ios::in);
+ if(!in_.is_open()) { std::cerr << "Unable to open file " << file_name << std::endl; }
+
+ std::vector< Edge_t > edges;
+ std::vector< Filtration_value > edges_fil;
+ std::map< Vertex_handle, Filtration_value > vertices;
+
+ std::string line;
+ int dim;
+ Vertex_handle u,v,max_h = -1;
+ Filtration_value fil;
+ while( getline ( in_ , line ) )
+ {
+ std::istringstream iss( line );
+ while(iss >> dim) {
+ switch ( dim ) {
+ case 0 : {
+ iss >> u; iss >> fil;
+ vertices[u] = fil;
+ if(max_h < u) { max_h = u; }
+ break;
+ }
+ case 1 : {
+ iss >> u; iss >> v; iss >> fil;
+ edges.push_back(Edge_t(u,v));
+ edges_fil.push_back(fil);
+ break;
+ }
+ default: {break;}
+ }
+ }
+ }
+ in_.close();
+
+ if((size_t)(max_h+1) != vertices.size())
+ { std::cerr << "Error: vertices must be labeled from 0 to n-1 \n"; }
+
+ Graph_t skel_graph(edges.begin(),edges.end(),edges_fil.begin(),vertices.size());
+ auto vertex_prop = boost::get(vertex_filtration_t(),skel_graph);
+
+ boost::graph_traits<Graph_t>::vertex_iterator vi, vi_end;
+ auto v_it = vertices.begin();
+ for (tie(vi, vi_end) = boost::vertices(skel_graph); vi != vi_end; ++vi,++v_it)
+ { boost::put(vertex_prop, *vi, v_it->second); }
+
+ return skel_graph;
+}
+
+/**
+ * \brief Read a face from a file.
+ *
+ * File format: 1 simplex per line
+ * Dim1 X11 X12 ... X1d Fil1
+ * Dim2 X21 X22 ... X2d Fil2
+ * etc
+ *
+ * The vertices must be labeled from 0 to n-1.
+ * Every simplex must appear exactly once.
+ * Simplices of dimension more than 1 are ignored.
+ */
+template< typename Vertex_handle
+ , typename Filtration_value >
+bool read_simplex ( std::istream & in_
+ , std::vector< Vertex_handle > & simplex
+ , Filtration_value & fil )
+{
+ int dim=0;
+ if(!(in_ >> dim)) return false;
+ Vertex_handle v;
+ for(int i=0; i<dim+1; ++i)
+ { in_ >> v; simplex.push_back(v); }
+ in_ >> fil;
+ in_.ignore(std::numeric_limits<std::streamsize>::max(), '\n'); // ignore until the carriage return
+ return true;
+}
+
+/**
+ * \brief Read a hasse simplex from a file.
+ *
+ * File format: 1 simplex per line
+ * Dim1 k11 k12 ... k1Dim1 Fil1
+ * Dim2 k21 k22 ... k2Dim2 Fil2
+ * etc
+ *
+ * The key of a simplex is its position in the filtration order
+ * and also the number of its row in the file.
+ * Dimi ki1 ki2 ... kiDimi Fili means that the ith simplex in the
+ * filtration has dimension Dimi, filtration value fil1 and simplices with
+ * key ki1 ... kiDimi in its boundary.*/
+template< typename Simplex_key
+ , typename Filtration_value >
+bool read_hasse_simplex ( std::istream & in_
+ , std::vector< Simplex_key > & boundary
+ , Filtration_value & fil )
+{
+ int dim;
+ if(!(in_ >> dim)) return false;
+ if(dim == 0) {in_ >> fil; return true;}
+ Simplex_key key;
+ for(int i=0; i<dim+1; ++i)
+ { in_ >> key; boundary.push_back(key); }
+ in_ >> fil;
+ return true;
+}
+
+#endif // GUDHI_READER_UTILS_H