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authorvrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2014-12-10 14:04:18 +0000
committervrouvrea <vrouvrea@636b058d-ea47-450e-bf9e-a15bfbe3eedb>2014-12-10 14:04:18 +0000
commit429d4f06cede4d97144592eff91689fc1c707474 (patch)
tree10cbfc316b7445b887672b8b70a39b763d65fe9a
parente8cca67a337b9d4bdbd1a8558ad99862862145f3 (diff)
Add persistent unit test - warning fix - cpplint fix
git-svn-id: svn+ssh://scm.gforge.inria.fr/svnroot/gudhi/branches/cpplint_test@346 636b058d-ea47-450e-bf9e-a15bfbe3eedb Former-commit-id: 9ef774de762c68a449b2a9791085f58c39a0705e
-rw-r--r--CMakeLists.txt1
-rwxr-xr-xscripts/check_code_coverage.sh3
-rw-r--r--src/Persistent_cohomology/example/rips_multifield_persistence.cpp2
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h1365
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h196
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h255
-rw-r--r--src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h249
-rw-r--r--src/Persistent_cohomology/test/CMakeLists.txt40
-rw-r--r--src/Persistent_cohomology/test/README12
-rw-r--r--src/Persistent_cohomology/test/persistent_cohomology_unit_test.cpp170
-rw-r--r--src/Persistent_cohomology/test/persistent_cohomology_unit_test_multi_field.cpp129
-rw-r--r--src/Persistent_cohomology/test/simplex_tree_file_for_multi_field_unit_test.txt.REMOVED.git-id1
-rw-r--r--src/Persistent_cohomology/test/simplex_tree_file_for_unit_test.txt98
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree.h63
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h15
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h25
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h7
-rw-r--r--src/Simplex_tree/test/CMakeLists.txt18
-rw-r--r--src/Simplex_tree/test/README2
-rw-r--r--src/Simplex_tree/test/simplex_tree_unit_test.cpp (renamed from src/Simplex_tree/test/UnitTestSimplexTree.cpp)0
20 files changed, 1549 insertions, 1102 deletions
diff --git a/CMakeLists.txt b/CMakeLists.txt
index 3aa218fd..deb5f28d 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -54,6 +54,7 @@ else()
add_subdirectory(src/Simplex_tree/test)
add_subdirectory(src/Simplex_tree/example)
+ add_subdirectory(src/Persistent_cohomology/test)
add_subdirectory(src/Persistent_cohomology/example)
add_subdirectory(src/Skeleton_blocker/example)
add_subdirectory(src/Contraction/example)
diff --git a/scripts/check_code_coverage.sh b/scripts/check_code_coverage.sh
index b518f21a..c5f99048 100755
--- a/scripts/check_code_coverage.sh
+++ b/scripts/check_code_coverage.sh
@@ -12,8 +12,9 @@ rm -f $COVERAGE_FILE $LOG_FILE
lcov --capture --directory $UT_DIR_TO_CHECK --no-external --output-file $COVERAGE_FILE 2>&1 | tee -a $LOG_FILE
lcov --summary $COVERAGE_FILE 2>&1 | tee -a $LOG_FILE
+genhtml $COVERAGE_FILE --output-directory $UT_DIR_TO_CHECK/lcov
# CLEAN AFTER USE
-#lcov --directory $UT_DIR_TO_CHECK --zerocounters 2>&1 | tee -a $LOG_FILE
+lcov --directory $UT_DIR_TO_CHECK --zerocounters 2>&1 | tee -a $LOG_FILE
LINE_PERCENTAGE=`grep "lines......:" $LOG_FILE`
PERC_PER_LINE=${LINE_PERCENTAGE:14:3}
diff --git a/src/Persistent_cohomology/example/rips_multifield_persistence.cpp b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp
index 95ef8809..c3203131 100644
--- a/src/Persistent_cohomology/example/rips_multifield_persistence.cpp
+++ b/src/Persistent_cohomology/example/rips_multifield_persistence.cpp
@@ -69,6 +69,8 @@ int main (int argc, char * argv[])
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 << "st=" << st << std::endl;
+
// Sort the simplices in the order of the filtration
st.initialize_filtration();
diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h
index cd4a2bcc..a5867013 100644
--- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h
@@ -1,162 +1,169 @@
- /* 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_
+/* 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 SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_H_
+#define SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_H_
+
+#include <gudhi/Persistent_cohomology/Persistent_cohomology_column.h>
+#include <gudhi/Persistent_cohomology/Field_Zp.h>
#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{
+#include <map>
+#include <utility>
+#include <list>
+#include <vector>
+#include <set>
+
+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.
+ *
+ * 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
@@ -167,606 +174,578 @@ namespace Gudhi{
*/
/** \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 {
+ *
+ * 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;
+ 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;
+ 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
+ typedef Persistent_cohomology_column<Simplex_key, Arith_element> Column; // contains 1 set_hook
// Cell type
- typedef typename Column::Cell Cell; // contains 2 list_hooks
+ 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;
+ 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;
+ 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));
+ 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.
+ */
+ explicit Persistent_cohomology(Complex_ds& cpx)
+ : 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>()) {
+ 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_;
-};
+ /** \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)
+ : Persistent_cohomology(cpx) {
+ if (persistence_dim_max) {
+ ++dim_max_;
+ }
+ }
-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;
+ ~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_;
}
- // 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() )
- );
+
+ 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(uint8_t charac) {
+ coeff_field_.init(charac);
}
- for( auto zero_idx : zero_cocycles_ )
- {
- persistent_pairs_.push_back( Persistent_interval ( cpx_->simplex(zero_idx.second)
- , cpx_->null_simplex()
- , coeff_field_.characteristic() )
- );
+ /** \brief Initializes the coefficient field for multi-field persistent homology.*/
+ void init_coefficients(uint8_t charac_min, uint8_t charac_max) {
+ coeff_field_.init(charac_min, charac_max);
}
-// 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_ ) );
+
+ /** \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()
- )
- );
+
+ 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;
}
- // 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 ); }
+
+ 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()
- )
- );
+ } 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);
}
- // 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 ); }
+ 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());
+ 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());
+ }
}
- 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.
+ /*
+ * 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
// 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; }
+ 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); }
+ 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 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 ));
- }
+ 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);
-
- 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 (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);
}
}
- 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
+
+ /* \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;
}
- 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); }
+ /* \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 for which the interval exists
+ if (interval_length_policy(cpx_->simplex(death_key), sigma)) {
+ persistent_pairs_.push_back(Persistent_interval(cpx_->simplex(death_key) // creator
+ , sigma // destructor
+ , charac)); // fields
+ }
+
+ 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();
}
- 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;
+
+ // 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.
}
- 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);
+ // 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;
+ }
}
- 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
+ /*
+ * 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;
+ }
}
- 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 );
+ while (other_it != other.end()) {
+ Cell * cell_tmp = cell_pool_->construct(Cell(other_it->first, 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;
+ ++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_;
-};
+ /*
+ * Compare two intervals by length.
+ */
+ struct cmp_intervals_by_length {
+ explicit cmp_intervals_by_length(Complex_ds * sc)
+ : sc_(sc) {
+ }
+ bool operator()(const Persistent_interval & p1, const 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;
+ 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
-};
+ private:
+ /*
+ * Structure representing a cocycle.
+ */
+ struct cocycle {
+ cocycle() {
+ }
+ cocycle(Arith_element characteristics, Hcell * row)
+ : row_(row),
+ characteristics_(characteristics) {
+ }
-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_;
-};
+ Hcell * row_; // points to the corresponding row in the CAM
+ Arith_element characteristics_; // product of field characteristics for which the cocycle exist
+ };
-/** @} */ //end defgroup persistent_cohomology
+ 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_;
+};
-} // namespace GUDHI
+/** @} */ // end defgroup persistent_cohomology
+} // namespace Gudhi
-#endif // _PERSISTENCECOMPUTATION_SIMPLEXTREE_
+#endif // SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_H_
diff --git a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h
index af0d6605..8b09a800 100644
--- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h
@@ -1,106 +1,122 @@
- /* 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{
+/* 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 SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_FIELD_ZP_H_
+#define SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_FIELD_ZP_H_
+
+#include <utility>
+#include <vector>
+
+namespace Gudhi {
/** \brief Structure representing the coefficient field \f$\mathbb{Z}/p\mathbb{Z}\f$
- *
- * \implements CoefficientField
- * \ingroup persistent_cohomology
- */
+ *
+ * \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);
+ public:
+ typedef int Element;
+
+ Field_Zp()
+ : Prime(0),
+ inverse_(),
+ mult_id_all(1),
+ add_id_all(0) {
}
-}
-/** 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 init(uint8_t charac) {
+ assert(charac != 0); // division by zero
+ 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);
+ }
+ }
-void plus_equal(Element & x, Element y) { x = ((x+y)%Prime); }
+ /** Set x <- x + w * y*/
+ void plus_times_equal(Element & x, Element y, Element w) {
+ assert(Prime != 0); // division by zero
+ x = (x + w * 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
+// operator= defined on Element
-/** Returns -x * y.*/
-Element times_minus ( Element x, Element y )
-{
- Element out = (-x * y) % Prime;
- return (out < 0) ? out + Prime : out;
-}
+ /** Returns y * w */
+ Element times(Element y, int w) {
+ assert(Prime != 0); // division by zero
+ Element res = (y * w) % Prime;
+ if (res < 0)
+ return res + Prime;
+ else
+ return res;
+ }
+ void clear_coefficient(Element x) {
+ }
-bool is_one ( Element x ) { return x == 1; }
-bool is_zero ( Element x ) { return x == 0; }
+ void plus_equal(Element & x, Element y) {
+ assert(Prime != 0); // division by zero
+ x = ((x + y) % Prime);
+ }
-//bool is_null()
+ /** \brief Returns the additive idendity \f$0_{\Bbbk}\f$ of the field.*/
+ const Element& additive_identity() const {
+ return add_id_all;
+ }
+ /** \brief Returns the multiplicative identity \f$1_{\Bbbk}\f$ of the field.*/
+ const Element& multiplicative_identity(Element P = 0) const {
+ return mult_id_all;
+ }
+ /** 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) {
+ assert(Prime != 0); // division by zero
+ Element out = (-x * y) % Prime;
+ return (out < 0) ? out + Prime : out;
+ }
-/** \brief Returns the characteristic \f$p\f$ of the field.*/
-Element characteristic() { return Prime; }
+ /** \brief Returns the characteristic \f$p\f$ of the field.*/
+ const uint8_t& characteristic() const {
+ return Prime;
+ }
-private:
- Element Prime;
-/** Property map Element -> Element, which associate to an element its inverse in the field.*/
- std::vector< Element > inverse_;
+ private:
+ uint8_t Prime;
+ /** Property map Element -> Element, which associate to an element its inverse in the field.*/
+ std::vector<Element> inverse_;
+ const Element mult_id_all;
+ const Element add_id_all;
};
-} // namespace GUDHI
+} // namespace Gudhi
-#endif // GUDHI_FIELD_ZP_H
+#endif // SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_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
index 9dd0998c..5ad4e9cf 100644
--- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h
@@ -1,167 +1,188 @@
- /* 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>
+/* 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 SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_MULTI_FIELD_H_
+#define SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_MULTI_FIELD_H_
+
#include <gmpxx.h>
-namespace Gudhi{
+#include <vector>
+#include <utility>
+
+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
- */
+ * 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; }
+ public:
+ typedef mpz_class Element;
+
+ Multi_field()
+ : prod_characteristics_(0),
+ mult_id_all(0),
+ add_id_all(0) {
+ }
+
+ /* Initialize the multi-field. The generation of prime numbers might fail with
+ * a very small probability.*/
+ void init(uint8_t min_prime, uint8_t 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);
+ uint8_t 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)
- {
+
+ while (curr_prime <= max_prime) {
primes_.push_back(curr_prime);
- mpz_nextprime(tmp_prime,tmp_prime);
+ mpz_nextprime(tmp_prime, tmp_prime);
curr_prime = mpz_get_ui(tmp_prime);
}
- //set m to primorial(bound_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);
+ 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_)
- {
+ // Uvect_
+ Element Ui;
+ Element tmp_elem;
+ for (auto p : primes_) {
+ assert(p != 0); // division by zero
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() );
+ // 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_; }
-
+ for (auto uvect : Uvect_) {
+ assert(prod_characteristics_ != 0); // division by zero
+ mult_id_all = (mult_id_all + uvect) % prod_characteristics_;
+ }
}
- void clear_coefficient(Element & x) { mpz_clear(x.get_mpz_t()); }
+ 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; }
+ const Element& additive_identity() const {
+ return add_id_all;
+ }
/** \brief Returns the multiplicative identity \f$1_{\Bbbk}\f$ of the field.*/
- Element multiplicative_identity () { return mult_id_all; }// 1 everywhere
+ const Element& multiplicative_identity() const {
+ return mult_id_all;
+ } // 1 everywhere
- Element multiplicative_identity (Element Q)
- {
- if(Q == prod_characteristics_) { return multiplicative_identity(); }
+ Element multiplicative_identity(Element Q) {
+ if (Q == prod_characteristics_) {
+ return multiplicative_identity();
+ }
+ assert(prod_characteristics_ != 0); // division by zero
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_; }
+ for (unsigned int idx = 0; idx < primes_.size(); ++idx) {
+ assert(primes_[idx] != 0); // division by zero
+ 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;
+ Element times(const Element& y, int w) {
+ assert(prod_characteristics_ != 0); // division by zero
+ 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_; }
+ void plus_equal(Element & x, const Element& y) {
+ assert(prod_characteristics_ != 0); // division by zero
+ x += y;
+ x %= prod_characteristics_;
+ }
/** \brief Returns the characteristic \f$p\f$ of the field.*/
- Element characteristic() { return prod_characteristics_; }
+ const Element& characteristic() const {
+ return prod_characteristics_;
+ }
/** Returns the inverse in the field. Modifies P.*/
- std::pair<Element,Element> inverse ( Element x
- , Element QS )
- {
+ 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
+ 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 );
+ assert(prod_characteristics_ != 0); // division by zero
+ 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_); }
+ Element times_minus(const Element& x, const Element& y) {
+ assert(prod_characteristics_ != 0); // division by zero
+ 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;
+ void plus_times_equal(Element & x, const Element& y, const Element& w) {
+ assert(prod_characteristics_ != 0); // division by zero
+ x = (x + w * y) % prod_characteristics_;
+ }
+ Element prod_characteristics_; // product of characteristics of the fields
+ // represented by the multi-field class
+ std::vector<uint8_t> primes_; // all the characteristics of the fields
+ std::vector<Element> Uvect_;
+ Element mult_id_all;
+ const Element add_id_all;
};
-} // namespace GUDHI
+} // namespace Gudhi
-#endif // GUDHI_MULTI_FIELD_H
+#endif // SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_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
index 0702c58e..632f8e11 100644
--- a/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h
+++ b/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h
@@ -1,153 +1,144 @@
- /* 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
+/* 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 SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_PERSISTENT_COHOMOLOGY_COLUMN_H_
+#define SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_PERSISTENT_COHOMOLOGY_COLUMN_H_
+
+#include <list>
#include "boost/tuple/tuple.hpp"
#include "boost/intrusive/set.hpp"
#include "boost/intrusive/list.hpp"
-namespace Gudhi{
+namespace Gudhi {
-template < typename SimplexKey
- , typename ArithmeticElement
- >
+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
+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_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;
+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
+ *
+ */
+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)
- {
+ * \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.*/
+ explicit 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());
+ 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";
}
- // void display()
- // {
- // for(auto cell : col_)
- // { std::cout << "(" << cell.key_ <<":"<<cell.coefficient_<<") "; }
- // }
+ /** \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());
+ }
- Col_type col_;
- SimplexKey class_key_;
+ Col_type col_;
+ SimplexKey class_key_;
};
-} // namespace GUDHI
+} // namespace Gudhi
-#endif // GUDHI_COLUMN_LIST_H
+#endif // SRC_PERSISTENT_COHOMOLOGY_INCLUDE_GUDHI_PERSISTENT_COHOMOLOGY_PERSISTENT_COHOMOLOGY_COLUMN_H_
diff --git a/src/Persistent_cohomology/test/CMakeLists.txt b/src/Persistent_cohomology/test/CMakeLists.txt
new file mode 100644
index 00000000..0e5bab1b
--- /dev/null
+++ b/src/Persistent_cohomology/test/CMakeLists.txt
@@ -0,0 +1,40 @@
+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 = ${Boost_LIBRARIES}")
+
+if(NOT MSVC)
+ set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} --coverage")
+ set(CMAKE_CXX_FLAGS_DEBUG "${CMAKE_CXX_FLAGS_DEBUG} --coverage")
+ set(CMAKE_CXX_FLAGS_RELEASE "${CMAKE_CXX_FLAGS_RELEASE} --coverage")
+endif()
+
+include_directories(${Boost_INCLUDE_DIRS})
+add_executable ( persistent_cohomology_unit_test persistent_cohomology_unit_test.cpp )
+target_link_libraries(persistent_cohomology_unit_test ${Boost_LIBRARIES})
+
+# Unitary tests
+add_test(persistent_cohomology_unit_test ${CMAKE_CURRENT_BINARY_DIR}/persistent_cohomology_unit_test)
+
+if(GMPXX_FOUND AND GMP_FOUND)
+ add_executable ( persistent_cohomology_unit_test_multi_field persistent_cohomology_unit_test_multi_field.cpp )
+ target_link_libraries(persistent_cohomology_unit_test_multi_field ${Boost_LIBRARIES} ${GMPXX_LIBRARIES} ${GMP_LIBRARIES})
+
+ # Unitary tests
+ add_test(persistent_cohomology_unit_test_multi_field ${CMAKE_CURRENT_BINARY_DIR}/persistent_cohomology_unit_test_multi_field)
+endif()
+
+if (LCOV_PATH)
+ # Lcov code coverage of unitary test
+ add_test(persistent_cohomology_unit_test_coverage.info ${CMAKE_SOURCE_DIR}/scripts/check_code_coverage.sh ${CMAKE_SOURCE_DIR}/src/Persistent_cohomology)
+endif()
+
+if (PYTHON_PATH)
+ # Cpplint tests on coding style
+ add_test(Persistent_cohomology.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Persistent_cohomology/include/gudhi/Persistent_cohomology.h)
+ add_test(Field_Zp.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Field_Zp.h)
+ add_test(Multi_field.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Multi_field.h)
+ add_test(Persistent_cohomology_column.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Persistent_cohomology/include/gudhi/Persistent_cohomology/Persistent_cohomology_column.h)
+endif() \ No newline at end of file
diff --git a/src/Persistent_cohomology/test/README b/src/Persistent_cohomology/test/README
new file mode 100644
index 00000000..56474fa0
--- /dev/null
+++ b/src/Persistent_cohomology/test/README
@@ -0,0 +1,12 @@
+To compile:
+***********
+
+cmake .
+make
+
+To launch with details:
+***********************
+
+./persistent_cohomology_unit_test --report_level=detailed --log_level=all
+
+ ==> echo $? returns 0 in case of success (non-zero otherwise)
diff --git a/src/Persistent_cohomology/test/persistent_cohomology_unit_test.cpp b/src/Persistent_cohomology/test/persistent_cohomology_unit_test.cpp
new file mode 100644
index 00000000..e180bea3
--- /dev/null
+++ b/src/Persistent_cohomology/test/persistent_cohomology_unit_test.cpp
@@ -0,0 +1,170 @@
+#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"
+#include "gudhi/Persistent_cohomology.h"
+
+using namespace Gudhi;
+
+typedef Simplex_tree<> typeST;
+
+std::string test_rips_persistence(int coefficient, int min_persistence) {
+ const std::string inputFile("simplex_tree_file_for_unit_test.txt");
+ std::ifstream simplex_tree_stream;
+ simplex_tree_stream.open(inputFile.c_str());
+ typeST st;
+ simplex_tree_stream >> st;
+ simplex_tree_stream.close();
+
+ // Display the Simplex_tree
+ std::cout << "The complex contains " << st.num_simplices() << " simplices" << " - dimension= " << st.dimension()
+ << " - filtration= " << st.filtration() << std::endl;
+
+ // Check
+ BOOST_CHECK(st.num_simplices() == 98);
+ BOOST_CHECK(st.dimension() == 3);
+ BOOST_CHECK(st.filtration() == 1.89);
+
+ // 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( coefficient ); // initializes the coefficient field for homology
+ // Check infinite rips
+ pcoh.compute_persistent_cohomology( min_persistence ); // Minimal lifetime of homology feature to be recorded.
+ std::ostringstream ossInfinite;
+
+ pcoh.output_diagram(ossInfinite);
+ std::string strInfinite = ossInfinite.str();
+ return strInfinite;
+}
+
+void test_rips_persistence_in_dimension(int dimension) {
+ std::string value0(" 0 0.02 1.12");
+ std::string value1(" 0 0.03 1.13");
+ std::string value2(" 0 0.04 1.14");
+ std::string value3(" 0 0.05 1.15");
+ std::string value4(" 0 0.06 1.16");
+ std::string value5(" 0 0.07 1.17");
+ std::string value6(" 0 0.08 1.18");
+ std::string value7(" 0 0.09 1.19");
+ std::string value8(" 0 0 inf" );
+ std::string value9(" 0 0.01 inf" );
+
+ value0.insert(0,std::to_string(dimension));
+ value1.insert(0,std::to_string(dimension));
+ value2.insert(0,std::to_string(dimension));
+ value3.insert(0,std::to_string(dimension));
+ value4.insert(0,std::to_string(dimension));
+ value5.insert(0,std::to_string(dimension));
+ value6.insert(0,std::to_string(dimension));
+ value7.insert(0,std::to_string(dimension));
+ value8.insert(0,std::to_string(dimension));
+ value9.insert(0,std::to_string(dimension));
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_SINGLE_FIELD DIM=" << dimension << " MIN_PERS=0" << std::endl;
+
+ std::string str_rips_persistence = test_rips_persistence(dimension, 0);
+
+ BOOST_CHECK(str_rips_persistence.find(value0) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value1) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value2) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value3) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value4) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value5) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value6) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value7) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value8) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value9) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_SINGLE_FIELD DIM=" << dimension << " MIN_PERS=1" << std::endl;
+
+ str_rips_persistence = test_rips_persistence(dimension, 1);
+
+ BOOST_CHECK(str_rips_persistence.find(value0) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value1) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value2) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value3) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value4) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value5) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value6) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value7) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value8) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value9) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_SINGLE_FIELD DIM=" << dimension << " MIN_PERS=2" << std::endl;
+
+ str_rips_persistence = test_rips_persistence(dimension, 2);
+
+ BOOST_CHECK(str_rips_persistence.find(value0) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value1) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value2) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value3) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value4) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value5) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value6) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value7) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value8) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value9) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_SINGLE_FIELD DIM=" << dimension << " MIN_PERS=Inf" << std::endl;
+
+ str_rips_persistence = test_rips_persistence(dimension, std::numeric_limits<int>::max());
+
+ BOOST_CHECK(str_rips_persistence.find(value0) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value1) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value2) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value3) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value4) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value5) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value6) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value7) == std::string::npos); // Check not found
+ BOOST_CHECK(str_rips_persistence.find(value8) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value9) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( rips_persistent_cohomology_single_field_dim_1 )
+{
+ test_rips_persistence_in_dimension(1);
+}
+
+BOOST_AUTO_TEST_CASE( rips_persistent_cohomology_single_field_dim_2 )
+{
+ test_rips_persistence_in_dimension(2);
+}
+
+BOOST_AUTO_TEST_CASE( rips_persistent_cohomology_single_field_dim_3 )
+{
+ test_rips_persistence_in_dimension(3);
+}
+
+BOOST_AUTO_TEST_CASE( rips_persistent_cohomology_single_field_dim_5 )
+{
+ test_rips_persistence_in_dimension(5);
+}
+
+// TODO(VR): not working from 6
+// std::string str_rips_persistence = test_rips_persistence(6, 0);
+// TODO(VR): division by zero
+// std::string str_rips_persistence = test_rips_persistence(0, 0);
diff --git a/src/Persistent_cohomology/test/persistent_cohomology_unit_test_multi_field.cpp b/src/Persistent_cohomology/test/persistent_cohomology_unit_test_multi_field.cpp
new file mode 100644
index 00000000..cef29bb0
--- /dev/null
+++ b/src/Persistent_cohomology/test/persistent_cohomology_unit_test_multi_field.cpp
@@ -0,0 +1,129 @@
+#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"
+#include "gudhi/Persistent_cohomology.h"
+#include "gudhi/Persistent_cohomology/Multi_field.h"
+
+using namespace Gudhi;
+
+typedef Simplex_tree<> typeST;
+
+std::string test_rips_persistence(int min_coefficient, int max_coefficient, int min_persistence) {
+ const std::string inputFile("simplex_tree_file_for_multi_field_unit_test.txt");
+ std::ifstream simplex_tree_stream;
+ simplex_tree_stream.open(inputFile.c_str());
+ typeST st;
+ simplex_tree_stream >> st;
+ simplex_tree_stream.close();
+
+ // Display the Simplex_tree
+ std::cout << "The complex contains " << st.num_simplices() << " simplices" << " - dimension= " << st.dimension()
+ << " - filtration= " << st.filtration() << std::endl;
+
+ // Check
+ BOOST_CHECK(st.num_simplices() == 6142604);
+ BOOST_CHECK(st.dimension() == 3);
+ BOOST_CHECK(st.filtration() == 0.249999);
+
+ // 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_coefficient, max_coefficient); // initializes the coefficient field for homology
+ // Check infinite rips
+ pcoh.compute_persistent_cohomology(min_persistence); // Minimal lifetime of homology feature to be recorded.
+
+ std::ostringstream ossRips;
+ pcoh.output_diagram(ossRips);
+
+ std::string strRips = ossRips.str();
+ return strRips;
+}
+
+void test_rips_persistence_in_dimension(int min_dimension, int max_dimension) {
+ std::string value0(" 0 0 inf");
+ std::string value1(" 1 0.0702103 inf");
+ std::string value2("2 1 0.0702103 inf");
+ std::string value3("2 2 0.159992 inf");
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_MULTI_FIELD MIN_DIM=" << min_dimension << " MAX_DIM=" << max_dimension << " MIN_PERS=0" << std::endl;
+
+ std::string str_rips_persistence = test_rips_persistence(min_dimension, max_dimension, 1);
+
+ BOOST_CHECK(str_rips_persistence.find(value0) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value1) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value2) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value3) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_MULTI_FIELD DIM=" << min_dimension << " MAX_DIM=" << max_dimension << " MIN_PERS=2" << std::endl;
+
+ str_rips_persistence = test_rips_persistence(min_dimension, max_dimension, 2);
+
+ BOOST_CHECK(str_rips_persistence.find(value0) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value1) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value2) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value3) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_MULTI_FIELD DIM=" << min_dimension << " MAX_DIM=" << max_dimension << " MIN_PERS=3" << std::endl;
+
+ str_rips_persistence = test_rips_persistence(min_dimension, max_dimension, 3);
+
+ BOOST_CHECK(str_rips_persistence.find(value0) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value1) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value2) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value3) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST OF RIPS_PERSISTENT_COHOMOLOGY_MULTI_FIELD DIM=" << min_dimension << " MAX_DIM=" << max_dimension << " MIN_PERS=Inf" << std::endl;
+
+ str_rips_persistence = test_rips_persistence(min_dimension, max_dimension, std::numeric_limits<int>::max());
+
+ BOOST_CHECK(str_rips_persistence.find(value0) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value1) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value2) != std::string::npos); // Check found
+ BOOST_CHECK(str_rips_persistence.find(value3) != std::string::npos); // Check found
+ std::cout << "str_rips_persistence=" << str_rips_persistence << std::endl;
+}
+
+BOOST_AUTO_TEST_CASE( rips_persistent_cohomology_multi_field_dim_1_2 )
+{
+ test_rips_persistence_in_dimension(1, 2);
+}
+
+BOOST_AUTO_TEST_CASE( rips_persistent_cohomology_multi_field_dim_2_3 )
+{
+ test_rips_persistence_in_dimension(2, 3);
+}
+
+BOOST_AUTO_TEST_CASE( rips_persistent_cohomology_multi_field_dim_1_5 )
+{
+ test_rips_persistence_in_dimension(1, 5);
+}
+
+// TODO(VR): not working from 6
+// std::string str_rips_persistence = test_rips_persistence(6, 0);
+// TODO(VR): division by zero
+// std::string str_rips_persistence = test_rips_persistence(0, 0);
+// TODO(VR): is result OK of :
+// test_rips_persistence_in_dimension(3, 4);
+
diff --git a/src/Persistent_cohomology/test/simplex_tree_file_for_multi_field_unit_test.txt.REMOVED.git-id b/src/Persistent_cohomology/test/simplex_tree_file_for_multi_field_unit_test.txt.REMOVED.git-id
new file mode 100644
index 00000000..2dd38515
--- /dev/null
+++ b/src/Persistent_cohomology/test/simplex_tree_file_for_multi_field_unit_test.txt.REMOVED.git-id
@@ -0,0 +1 @@
+ce87199d425b05f51c74cbf635870bfa5abbc7a1 \ No newline at end of file
diff --git a/src/Persistent_cohomology/test/simplex_tree_file_for_unit_test.txt b/src/Persistent_cohomology/test/simplex_tree_file_for_unit_test.txt
new file mode 100644
index 00000000..90756ce0
--- /dev/null
+++ b/src/Persistent_cohomology/test/simplex_tree_file_for_unit_test.txt
@@ -0,0 +1,98 @@
+0 0 0
+0 1 0.01
+0 2 0.02
+0 3 0.03
+0 4 0.04
+0 5 0.05
+0 6 0.06
+0 7 0.07
+0 8 0.08
+0 9 0.09
+1 2 1 1.12
+1 3 1 1.13
+1 4 1 1.14
+1 5 1 1.15
+1 6 1 1.16
+1 7 1 1.17
+1 8 1 1.18
+1 9 1 1.19
+1 3 2 1.23
+2 3 2 1 1.23
+1 6 2 1.26
+2 6 2 1 1.26
+1 8 2 1.28
+2 8 2 1 1.28
+1 9 2 1.29
+2 9 2 1 1.29
+1 6 3 1.36
+2 6 3 1 1.36
+2 6 3 2 1.36
+3 6 3 2 1 1.36
+1 7 3 1.37
+2 7 3 1 1.37
+1 8 3 1.38
+2 8 3 1 1.38
+2 8 3 2 1.38
+3 8 3 2 1 1.38
+1 5 4 1.45
+2 5 4 1 1.45
+1 6 4 1.46
+2 6 4 1 1.46
+1 8 4 1.48
+2 8 4 1 1.48
+1 6 5 1.56
+2 6 5 1 1.56
+2 6 5 4 1.56
+3 6 5 4 1 1.56
+1 7 5 1.57
+2 7 5 1 1.57
+1 8 5 1.58
+2 8 5 1 1.58
+2 8 5 4 1.58
+3 8 5 4 1 1.58
+1 9 5 1.59
+2 9 5 1 1.59
+1 7 6 1.67
+2 7 6 1 1.67
+2 7 6 3 1.67
+3 7 6 3 1 1.67
+2 7 6 5 1.67
+3 7 6 5 1 1.67
+1 8 6 1.68
+2 8 6 1 1.68
+2 8 6 2 1.68
+3 8 6 2 1 1.68
+2 8 6 3 1.68
+3 8 6 3 1 1.68
+3 8 6 3 2 1.68
+2 8 6 4 1.68
+3 8 6 4 1 1.68
+2 8 6 5 1.68
+3 8 6 5 1 1.68
+3 8 6 5 4 1.68
+1 9 6 1.69
+2 9 6 1 1.69
+2 9 6 2 1.69
+3 9 6 2 1 1.69
+2 9 6 5 1.69
+3 9 6 5 1 1.69
+1 8 7 1.78
+2 8 7 1 1.78
+2 8 7 3 1.78
+3 8 7 3 1 1.78
+2 8 7 5 1.78
+3 8 7 5 1 1.78
+2 8 7 6 1.78
+3 8 7 6 1 1.78
+3 8 7 6 3 1.78
+3 8 7 6 5 1.78
+1 9 8 1.89
+2 9 8 1 1.89
+2 9 8 2 1.89
+3 9 8 2 1 1.89
+2 9 8 5 1.89
+3 9 8 5 1 1.89
+2 9 8 6 1.89
+3 9 8 6 1 1.89
+3 9 8 6 2 1.89
+3 9 8 6 5 1.89
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree.h b/src/Simplex_tree/include/gudhi/Simplex_tree.h
index 6430c300..9b3de20a 100644
--- a/src/Simplex_tree/include/gudhi/Simplex_tree.h
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree.h
@@ -20,20 +20,22 @@
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
-#ifndef GUDHI_SIMPLEX_TREE_H
-#define GUDHI_SIMPLEX_TREE_H
+#ifndef SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_H_
+#define SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_H_
+
+#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>
-#include <algorithm>
-#include <utility>
-#include <vector>
-#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"
#include <boost/container/flat_map.hpp>
#include <boost/iterator/transform_iterator.hpp>
#include <boost/graph/adjacency_list.hpp>
+#include <algorithm>
+#include <utility>
+#include <vector>
+
namespace Gudhi {
/** \defgroup simplex_tree Filtered Complexes Package
@@ -107,18 +109,12 @@ class Simplex_tree {
/* 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> > ;
+ 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. */
@@ -400,7 +396,7 @@ class Simplex_tree {
* <CODE>Vertex_handle</CODE>.
*/
template<class RandomAccessVertexRange>
- Simplex_handle find(RandomAccessVertexRange & s) {
+ Simplex_handle find(const RandomAccessVertexRange & s) {
if (s.begin() == s.end())
std::cerr << "Empty simplex \n";
@@ -597,7 +593,7 @@ class Simplex_tree {
* 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)
+ explicit is_before_in_filtration(Simplex_tree * st)
: st_(st) {
}
@@ -632,7 +628,7 @@ class Simplex_tree {
* boost::graph_traits<OneSkeletonGraph>::directed_category
* must be undirected_tag. */
template<class OneSkeletonGraph>
- void insert_graph(OneSkeletonGraph & skel_graph) {
+ void insert_graph(const OneSkeletonGraph& skel_graph) {
assert(num_simplices() == 0); // the simplex tree must be empty
if (boost::num_vertices(skel_graph) == 0) {
@@ -738,25 +734,22 @@ class Simplex_tree {
}
/** \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,
+ 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;
+ return; // ----->>
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))));
+ Node(NULL, maximum(begin1->second.filtration(), begin2->second.filtration(), filtration))));
++begin1;
++begin2;
if (begin1 == end1 || begin2 == end2)
- return;
+ return; // ----->>
} else {
if (begin1->first < begin2->first) {
++begin1;
@@ -765,7 +758,7 @@ class Simplex_tree {
} else {
++begin2;
if (begin2 == end2)
- return;
+ return; // ----->>
}
}
}
@@ -784,7 +777,7 @@ class Simplex_tree {
* 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) {
+ void print_hasse(std::ostream& os) {
os << num_simplices() << " " << std::endl;
for (auto sh : filtration_simplex_range(Indexing_tag())) {
os << dimension(sh) << " ";
@@ -832,7 +825,7 @@ std::istream& operator>>(std::istream & is, Simplex_tree<T1, T2, T3> & st) {
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
+ int dim = static_cast<int>(simplex.size() - 1); // Warning : simplex_size needs to be casted in int - Can be 0
if (max_dim < dim) {
max_dim = dim;
}
@@ -852,4 +845,4 @@ std::istream& operator>>(std::istream & is, Simplex_tree<T1, T2, T3> & st) {
/** @} */ // end defgroup simplex_tree
} // namespace Gudhi
-#endif // GUDHI_SIMPLEX_TREE_H
+#endif // SRC_SIMPLEX_TREE_INCLUDE_GUDHI_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
index 54d4d296..06462c88 100644
--- a/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h
@@ -20,12 +20,13 @@
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
-#ifndef SIMPLEX_TREE_ITERATORS_H
-#define SIMPLEX_TREE_ITERATORS_H
+#ifndef SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_SIMPLEX_TREE_ITERATORS_H_
+#define SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_SIMPLEX_TREE_ITERATORS_H_
-#include <vector>
#include <boost/iterator/iterator_facade.hpp>
+#include <vector>
+
namespace Gudhi {
/* \addtogroup simplex_tree
@@ -47,7 +48,7 @@ class Simplex_tree_simplex_vertex_iterator : public boost::iterator_facade<
typedef typename SimplexTree::Siblings Siblings;
typedef typename SimplexTree::Vertex_handle Vertex_handle;
- Simplex_tree_simplex_vertex_iterator(SimplexTree * st)
+ explicit Simplex_tree_simplex_vertex_iterator(SimplexTree * st)
: // any end() iterator
sib_(NULL),
v_(st->null_vertex()) {
@@ -93,7 +94,7 @@ class Simplex_tree_boundary_simplex_iterator : public boost::iterator_facade<
typedef typename SimplexTree::Siblings Siblings;
// any end() iterator
- Simplex_tree_boundary_simplex_iterator(SimplexTree * st)
+ explicit Simplex_tree_boundary_simplex_iterator(SimplexTree * st)
: last_(st->null_vertex()),
sib_(NULL) {
}
@@ -166,7 +167,7 @@ class Simplex_tree_complex_simplex_iterator : public boost::iterator_facade<
: st_(NULL) {
}
- Simplex_tree_complex_simplex_iterator(SimplexTree * st)
+ explicit Simplex_tree_complex_simplex_iterator(SimplexTree * st)
: st_(st) {
if (st == NULL || st->root() == NULL || st->root()->members().empty()) {
st_ = NULL;
@@ -302,4 +303,4 @@ class Simplex_tree_skeleton_simplex_iterator : public boost::iterator_facade<
/* @} */ // end addtogroup simplex_tree
} // namespace Gudhi
-#endif // SIMPLEX_TREE_ITERATORS_H
+#endif // SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_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
index 27120f00..1f1a34cc 100644
--- 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
@@ -20,11 +20,10 @@
* 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
+#ifndef SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_SIMPLEX_TREE_NODE_EXPLICIT_STORAGE_H_
+#define SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_SIMPLEX_TREE_NODE_EXPLICIT_STORAGE_H_
#include <vector>
-#include <iostream>
namespace Gudhi {
@@ -42,14 +41,10 @@ namespace Gudhi {
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),
@@ -69,13 +64,6 @@ class Simplex_tree_node_explicit_storage {
}
/*
- * 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) {
@@ -92,7 +80,7 @@ class Simplex_tree_node_explicit_storage {
return filtration_;
}
- /* Careful -> has_children() must be true*/
+ /* Careful -> children_ can be NULL*/
Siblings * children() {
return children_;
}
@@ -106,11 +94,10 @@ class Simplex_tree_node_explicit_storage {
// Data attached to simplex, explicit storage
Simplex_key simplex_key_;
- Filtration_value filtration_; //value in the filtration
-
+ Filtration_value filtration_; // value in the filtration
};
/* @} */ // end addtogroup simplex_tree
-}// namespace Gudhi
+} // namespace Gudhi
-#endif // GUDHI_SIMPLEX_TREE_NODE_EXPLICIT_STORAGE_H
+#endif // SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_SIMPLEX_TREE_NODE_EXPLICIT_STORAGE_H_
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h b/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h
index 680458a5..69ffa44b 100644
--- a/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h
@@ -20,6 +20,9 @@
* along with this program. If not, see <http://www.gnu.org/licenses/>.
*/
+#ifndef SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_INDEXING_TAG_H_
+#define SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_INDEXING_TAG_H_
+
namespace Gudhi {
/** \brief Tag for a linear ordering of simplices.
@@ -31,4 +34,6 @@ struct linear_indexing_tag {
/* \brief Tag for a zigzag ordering of simplices. */
// struct zigzag_indexing_tag {};
-}// namespace Gudhi
+} // namespace Gudhi
+
+#endif // SRC_SIMPLEX_TREE_INCLUDE_GUDHI_SIMPLEX_TREE_INDEXING_TAG_H_
diff --git a/src/Simplex_tree/test/CMakeLists.txt b/src/Simplex_tree/test/CMakeLists.txt
index eeb066d4..d7f968af 100644
--- a/src/Simplex_tree/test/CMakeLists.txt
+++ b/src/Simplex_tree/test/CMakeLists.txt
@@ -12,22 +12,22 @@ if(NOT MSVC)
endif()
include_directories(${Boost_INCLUDE_DIRS})
-add_executable ( TestSimplexTree UnitTestSimplexTree.cpp )
-target_link_libraries(TestSimplexTree ${Boost_LIBRARIES})
+add_executable ( simplex_tree_unit_test simplex_tree_unit_test.cpp )
+target_link_libraries(simplex_tree_unit_test ${Boost_LIBRARIES})
# Unitary tests
-add_test(TestSimplexTree ${CMAKE_CURRENT_BINARY_DIR}/TestSimplexTree)
+add_test(simplex_tree_unit_test ${CMAKE_CURRENT_BINARY_DIR}/simplex_tree_unit_test)
if (LCOV_PATH)
# Lcov code coverage of unitary test
- add_test(TestSimplexTreeCov ${CMAKE_SOURCE_DIR}/scripts/check_code_coverage.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree)
+ add_test(simplex_tree_unit_test_coverage.info ${CMAKE_SOURCE_DIR}/scripts/check_code_coverage.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree)
endif()
if (PYTHON_PATH)
# Cpplint tests on coding style
- add_test(CpplintSimplexTree ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree.h)
- add_test(CpplintSimplexTreeIndexingTag ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h)
- add_test(CpplintSimplexTreeIterator ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h)
- add_test(CpplintSimplexTreeNode ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h)
- add_test(CpplintSimplexTreeSiblings ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h)
+ add_test(Simplex_tree.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree.h)
+ add_test(indexing_tag.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/indexing_tag.h)
+ add_test(Simplex_tree_iterators.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h)
+ add_test(Simplex_tree_node_explicit_storage.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_node_explicit_storage.h)
+ add_test(Simplex_tree_siblings.h.cpplint ${CMAKE_SOURCE_DIR}/scripts/check_google_style.sh ${CMAKE_SOURCE_DIR}/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h)
endif() \ No newline at end of file
diff --git a/src/Simplex_tree/test/README b/src/Simplex_tree/test/README
index 3d6981ff..620bcd5f 100644
--- a/src/Simplex_tree/test/README
+++ b/src/Simplex_tree/test/README
@@ -7,6 +7,6 @@ make
To launch with details:
***********************
-./TestSimplexTree --report_level=detailed --log_level=all
+./simplex_tree_unit_test --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/simplex_tree_unit_test.cpp
index a3671f56..a3671f56 100644
--- a/src/Simplex_tree/test/UnitTestSimplexTree.cpp
+++ b/src/Simplex_tree/test/simplex_tree_unit_test.cpp