Moved into trunk

git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/trunk@341 636b058d-ea47-450e-bf9e-a15bfbe3eedb

89 files changed, 159455 insertions, 0 deletions

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
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+# 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
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+
+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.
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+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.
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+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
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+# (default is Fortran), use: inc=Fortran f=C.
+#
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+# the files are not read by doxygen.
+
+EXTENSION_MAPPING      =
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+# If the MARKDOWN_SUPPORT tag is enabled then doxygen pre-processes all comments
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+# mix doxygen, HTML, and XML commands with Markdown formatting. Disable only in
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+
+MARKDOWN_SUPPORT       = YES
+
+# When enabled doxygen tries to link words that correspond to documented
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+
+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
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+# 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
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+# 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
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+# 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
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+# The default value is: YES.
+
+SUBGROUPING            = YES
+
+# When the INLINE_GROUPED_CLASSES tag is set to YES, classes, structs and unions
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+# instead of on a separate page (for HTML and Man pages) or section (for LaTeX
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+#
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+INLINE_GROUPED_CLASSES = NO
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+
+INLINE_SIMPLE_STRUCTS  = NO
+
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+# useful for C code in case the coding convention dictates that all compound
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+# 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.
+# The default value is: NO.
+
+GENERATE_RTF           = NO
+
+# The RTF_OUTPUT tag is used to specify where the RTF 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: rtf.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_OUTPUT             = rtf
+
+# If the COMPACT_RTF tag is set to YES doxygen generates more compact RTF
+# 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_RTF is set to YES.
+
+COMPACT_RTF            = NO
+
+# If the RTF_HYPERLINKS tag is set to YES, the RTF that is generated will
+# contain hyperlink fields. The RTF file will contain links (just like the HTML
+# output) instead of page references. This makes the output suitable for online
+# browsing using Word or some other Word compatible readers that support those
+# fields.
+#
+# Note: WordPad (write) and others do not support links.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_HYPERLINKS         = NO
+
+# Load stylesheet definitions from file. Syntax is similar to doxygen's config
+# file, i.e. a series of assignments. You only have to provide replacements,
+# missing definitions are set to their default value.
+#
+# See also section "Doxygen usage" for information on how to generate the
+# default style sheet that doxygen normally uses.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_STYLESHEET_FILE    =
+
+# Set optional variables used in the generation of an RTF document. Syntax is
+# similar to doxygen's config file. A template extensions file can be generated
+# using doxygen -e rtf extensionFile.
+# This tag requires that the tag GENERATE_RTF is set to YES.
+
+RTF_EXTENSIONS_FILE    =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the man page output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_MAN tag is set to YES doxygen will generate man pages for
+# classes and files.
+# The default value is: NO.
+
+GENERATE_MAN           = NO
+
+# The MAN_OUTPUT tag is used to specify where the man pages will be put. If a
+# relative path is entered the value of OUTPUT_DIRECTORY will be put in front of
+# it. A directory man3 will be created inside the directory specified by
+# MAN_OUTPUT.
+# The default directory is: man.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_OUTPUT             = man
+
+# The MAN_EXTENSION tag determines the extension that is added to the generated
+# man pages. In case the manual section does not start with a number, the number
+# 3 is prepended. The dot (.) at the beginning of the MAN_EXTENSION tag is
+# optional.
+# The default value is: .3.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_EXTENSION          = .3
+
+# If the MAN_LINKS tag is set to YES and doxygen generates man output, then it
+# will generate one additional man file for each entity documented in the real
+# man page(s). These additional files only source the real man page, but without
+# them the man command would be unable to find the correct page.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_MAN is set to YES.
+
+MAN_LINKS              = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the XML output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_XML tag is set to YES doxygen will generate an XML file that
+# captures the structure of the code including all documentation.
+# The default value is: NO.
+
+GENERATE_XML           = NO
+
+# The XML_OUTPUT tag is used to specify where the XML pages 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: xml.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_OUTPUT             = xml
+
+# The XML_SCHEMA tag can be used to specify a XML schema, which can be used by a
+# validating XML parser to check the syntax of the XML files.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_SCHEMA             =
+
+# The XML_DTD tag can be used to specify a XML DTD, which can be used by a
+# validating XML parser to check the syntax of the XML files.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_DTD                =
+
+# If the XML_PROGRAMLISTING tag is set to YES doxygen will dump the program
+# listings (including syntax highlighting and cross-referencing information) to
+# the XML output. Note that enabling this will significantly increase the size
+# of the XML output.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_XML is set to YES.
+
+XML_PROGRAMLISTING     = YES
+
+#---------------------------------------------------------------------------
+# Configuration options related to the DOCBOOK output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_DOCBOOK tag is set to YES doxygen will generate Docbook files
+# that can be used to generate PDF.
+# The default value is: NO.
+
+GENERATE_DOCBOOK       = NO
+
+# The DOCBOOK_OUTPUT tag is used to specify where the Docbook pages 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: docbook.
+# This tag requires that the tag GENERATE_DOCBOOK is set to YES.
+
+DOCBOOK_OUTPUT         = docbook
+
+#---------------------------------------------------------------------------
+# Configuration options for the AutoGen Definitions output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_AUTOGEN_DEF tag is set to YES doxygen will generate an AutoGen
+# Definitions (see http://autogen.sf.net) file that captures the structure of
+# the code including all documentation. Note that this feature is still
+# experimental and incomplete at the moment.
+# The default value is: NO.
+
+GENERATE_AUTOGEN_DEF   = NO
+
+#---------------------------------------------------------------------------
+# Configuration options related to the Perl module output
+#---------------------------------------------------------------------------
+
+# If the GENERATE_PERLMOD tag is set to YES doxygen will generate a Perl module
+# file that captures the structure of the code including all documentation.
+#
+# Note that this feature is still experimental and incomplete at the moment.
+# The default value is: NO.
+
+GENERATE_PERLMOD       = NO
+
+# If the PERLMOD_LATEX tag is set to YES doxygen will generate the necessary
+# Makefile rules, Perl scripts and LaTeX code to be able to generate PDF and DVI
+# output from the Perl module output.
+# The default value is: NO.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_LATEX          = NO
+
+# If the PERLMOD_PRETTY tag is set to YES the Perl module output will be nicely
+# formatted so it can be parsed by a human reader. This is useful if you want to
+# understand what is going on. On the other hand, if this tag is set to NO the
+# size of the Perl module output will be much smaller and Perl will parse it
+# just the same.
+# The default value is: YES.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_PRETTY         = YES
+
+# The names of the make variables in the generated doxyrules.make file are
+# prefixed with the string contained in PERLMOD_MAKEVAR_PREFIX. This is useful
+# so different doxyrules.make files included by the same Makefile don't
+# overwrite each other's variables.
+# This tag requires that the tag GENERATE_PERLMOD is set to YES.
+
+PERLMOD_MAKEVAR_PREFIX =
+
+#---------------------------------------------------------------------------
+# Configuration options related to the preprocessor
+#---------------------------------------------------------------------------
+
+# If the ENABLE_PREPROCESSING tag is set to YES doxygen will evaluate all
+# C-preprocessor directives found in the sources and include files.
+# The default value is: YES.
+
+ENABLE_PREPROCESSING   = YES
+
+# If the MACRO_EXPANSION tag is set to YES doxygen will expand all macro names
+# in the source code. If set to NO only conditional compilation will be
+# performed. Macro expansion can be done in a controlled way by setting
+# EXPAND_ONLY_PREDEF to YES.
+# The default value is: NO.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+MACRO_EXPANSION        = NO
+
+# If the EXPAND_ONLY_PREDEF and MACRO_EXPANSION tags are both set to YES then
+# the macro expansion is limited to the macros specified with the PREDEFINED and
+# EXPAND_AS_DEFINED tags.
+# The default value is: NO.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+EXPAND_ONLY_PREDEF     = NO
+
+# If the SEARCH_INCLUDES tag is set to YES the includes files in the
+# INCLUDE_PATH will be searched if a #include is found.
+# The default value is: YES.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+SEARCH_INCLUDES        = YES
+
+# The INCLUDE_PATH tag can be used to specify one or more directories that
+# contain include files that are not input files but should be processed by the
+# preprocessor.
+# This tag requires that the tag SEARCH_INCLUDES is set to YES.
+
+INCLUDE_PATH           =
+
+# You can use the INCLUDE_FILE_PATTERNS tag to specify one or more wildcard
+# patterns (like *.h and *.hpp) to filter out the header-files in the
+# directories. If left blank, the patterns specified with FILE_PATTERNS will be
+# used.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+INCLUDE_FILE_PATTERNS  =
+
+# The PREDEFINED tag can be used to specify one or more macro names that are
+# defined before the preprocessor is started (similar to the -D option of e.g.
+# gcc). The argument of the tag is a list of macros of the form: name or
+# name=definition (no spaces). If the definition and the "=" are omitted, "=1"
+# is assumed. To prevent a macro definition from being undefined via #undef or
+# recursively expanded use the := operator instead of the = operator.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+PREDEFINED             =
+
+# If the MACRO_EXPANSION and EXPAND_ONLY_PREDEF tags are set to YES then this
+# tag can be used to specify a list of macro names that should be expanded. The
+# macro definition that is found in the sources will be used. Use the PREDEFINED
+# tag if you want to use a different macro definition that overrules the
+# definition found in the source code.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+EXPAND_AS_DEFINED      =
+
+# If the SKIP_FUNCTION_MACROS tag is set to YES then doxygen's preprocessor will
+# remove all refrences to function-like macros that are alone on a line, have an
+# all uppercase name, and do not end with a semicolon. Such function macros are
+# typically used for boiler-plate code, and will confuse the parser if not
+# removed.
+# The default value is: YES.
+# This tag requires that the tag ENABLE_PREPROCESSING is set to YES.
+
+SKIP_FUNCTION_MACROS   = YES
+
+#---------------------------------------------------------------------------
+# Configuration options related to external references
+#---------------------------------------------------------------------------
+
+# The TAGFILES tag can be used to specify one or more tag files. For each tag
+# file the location of the external documentation should be added. The format of
+# a tag file without this location is as follows:
+# TAGFILES = file1 file2 ...
+# Adding location for the tag files is done as follows:
+# TAGFILES = file1=loc1 "file2 = loc2" ...
+# where loc1 and loc2 can be relative or absolute paths or URLs. See the
+# section "Linking to external documentation" for more information about the use
+# of tag files.
+# Note: Each tag file must have an unique name (where the name does NOT include
+# the path). If a tag file is not located in the directory in which doxygen is
+# run, you must also specify the path to the tagfile here.
+
+TAGFILES               =
+
+# When a file name is specified after GENERATE_TAGFILE, doxygen will create a
+# tag file that is based on the input files it reads. See section "Linking to
+# external documentation" for more information about the usage of tag files.
+
+GENERATE_TAGFILE       =
+
+# If the ALLEXTERNALS tag is set to YES all external class will be listed in the
+# class index. If set to NO only the inherited external classes will be listed.
+# The default value is: NO.
+
+ALLEXTERNALS           = NO
+
+# If the EXTERNAL_GROUPS tag is set to YES all external groups will be listed in
+# the modules index. If set to NO, only the current project's groups will be
+# listed.
+# The default value is: YES.
+
+EXTERNAL_GROUPS        = YES
+
+# If the EXTERNAL_PAGES tag is set to YES all external pages will be listed in
+# the related pages index. If set to NO, only the current project's pages will
+# be listed.
+# The default value is: YES.
+
+EXTERNAL_PAGES         = YES
+
+# The PERL_PATH should be the absolute path and name of the perl script
+# interpreter (i.e. the result of 'which perl').
+# The default file (with absolute path) is: /usr/bin/perl.
+
+PERL_PATH              = /usr/bin/perl
+
+#---------------------------------------------------------------------------
+# Configuration options related to the dot tool
+#---------------------------------------------------------------------------
+
+# If the CLASS_DIAGRAMS tag is set to YES doxygen will generate a class diagram
+# (in HTML and LaTeX) for classes with base or super classes. Setting the tag to
+# NO turns the diagrams off. Note that this option also works with HAVE_DOT
+# disabled, but it is recommended to install and use dot, since it yields more
+# powerful graphs.
+# The default value is: YES.
+
+CLASS_DIAGRAMS         = YES
+
+# You can define message sequence charts within doxygen comments using the \msc
+# command. Doxygen will then run the mscgen tool (see:
+# http://www.mcternan.me.uk/mscgen/)) to produce the chart and insert it in the
+# documentation. The MSCGEN_PATH tag allows you to specify the directory where
+# the mscgen tool resides. If left empty the tool is assumed to be found in the
+# default search path.
+
+MSCGEN_PATH            =
+
+# You can include diagrams made with dia in doxygen documentation. Doxygen will
+# then run dia to produce the diagram and insert it in the documentation. The
+# DIA_PATH tag allows you to specify the directory where the dia binary resides.
+# If left empty dia is assumed to be found in the default search path.
+
+DIA_PATH               =
+
+# If set to YES, the inheritance and collaboration graphs will hide inheritance
+# and usage relations if the target is undocumented or is not a class.
+# The default value is: YES.
+
+HIDE_UNDOC_RELATIONS   = YES
+
+# If you set the HAVE_DOT tag to YES then doxygen will assume the dot tool is
+# available from the path. This tool is part of Graphviz (see:
+# http://www.graphviz.org/), a graph visualization toolkit from AT&T and Lucent
+# Bell Labs. The other options in this section have no effect if this option is
+# set to NO
+# The default value is: NO.
+
+HAVE_DOT               = YES
+
+# The DOT_NUM_THREADS specifies the number of dot invocations doxygen is allowed
+# to run in parallel. When set to 0 doxygen will base this on the number of
+# processors available in the system. You can set it explicitly to a value
+# larger than 0 to get control over the balance between CPU load and processing
+# speed.
+# Minimum value: 0, maximum value: 32, default value: 0.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_NUM_THREADS        = 0
+
+# When you want a differently looking font n the dot files that doxygen
+# generates you can specify the font name using DOT_FONTNAME. You need to make
+# sure dot is able to find the font, which can be done by putting it in a
+# standard location or by setting the DOTFONTPATH environment variable or by
+# setting DOT_FONTPATH to the directory containing the font.
+# The default value is: Helvetica.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTNAME           = Helvetica
+
+# The DOT_FONTSIZE tag can be used to set the size (in points) of the font of
+# dot graphs.
+# Minimum value: 4, maximum value: 24, default value: 10.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTSIZE           = 10
+
+# By default doxygen will tell dot to use the default font as specified with
+# DOT_FONTNAME. If you specify a different font using DOT_FONTNAME you can set
+# the path where dot can find it using this tag.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+DOT_FONTPATH           =
+
+# If the CLASS_GRAPH tag is set to YES then doxygen will generate a graph for
+# each documented class showing the direct and indirect inheritance relations.
+# Setting this tag to YES will force the CLASS_DIAGRAMS tag to NO.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+CLASS_GRAPH            = YES
+
+# If the COLLABORATION_GRAPH tag is set to YES then doxygen will generate a
+# graph for each documented class showing the direct and indirect implementation
+# dependencies (inheritance, containment, and class references variables) of the
+# class with other documented classes.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+COLLABORATION_GRAPH    = YES
+
+# If the GROUP_GRAPHS tag is set to YES then doxygen will generate a graph for
+# groups, showing the direct groups dependencies.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+GROUP_GRAPHS           = YES
+
+# If the UML_LOOK tag is set to YES doxygen will generate inheritance and
+# collaboration diagrams in a style similar to the OMG's Unified Modeling
+# Language.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+UML_LOOK               = NO
+
+# If the UML_LOOK tag is enabled, the fields and methods are shown inside the
+# class node. If there are many fields or methods and many nodes the graph may
+# become too big to be useful. The UML_LIMIT_NUM_FIELDS threshold limits the
+# number of items for each type to make the size more manageable. Set this to 0
+# for no limit. Note that the threshold may be exceeded by 50% before the limit
+# is enforced. So when you set the threshold to 10, up to 15 fields may appear,
+# but if the number exceeds 15, the total amount of fields shown is limited to
+# 10.
+# Minimum value: 0, maximum value: 100, default value: 10.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+UML_LIMIT_NUM_FIELDS   = 10
+
+# If the TEMPLATE_RELATIONS tag is set to YES then the inheritance and
+# collaboration graphs will show the relations between templates and their
+# instances.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+TEMPLATE_RELATIONS     = YES
+
+# If the INCLUDE_GRAPH, ENABLE_PREPROCESSING and SEARCH_INCLUDES tags are set to
+# YES then doxygen will generate a graph for each documented file showing the
+# direct and indirect include dependencies of the file with other documented
+# files.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+INCLUDE_GRAPH          = YES
+
+# If the INCLUDED_BY_GRAPH, ENABLE_PREPROCESSING and SEARCH_INCLUDES tags are
+# set to YES then doxygen will generate a graph for each documented file showing
+# the direct and indirect include dependencies of the file with other documented
+# files.
+# The default value is: YES.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+INCLUDED_BY_GRAPH      = YES
+
+# If the CALL_GRAPH tag is set to YES then doxygen will generate a call
+# dependency graph for every global function or class method.
+#
+# Note that enabling this option will significantly increase the time of a run.
+# So in most cases it will be better to enable call graphs for selected
+# functions only using the \callgraph command.
+# The default value is: NO.
+# This tag requires that the tag HAVE_DOT is set to YES.
+
+CALL_GRAPH             = YES
+
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+# and working are Firefox, Chrome, Safari, and Opera.
+# Note: For IE 9+ you need to set HTML_FILE_EXTENSION to xhtml in order to make
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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
@@ -0,0 +1,143353 @@
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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