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authorMarc Glisse <marc.glisse@inria.fr>2020-03-17 13:52:51 +0100
committerGitHub <noreply@github.com>2020-03-17 13:52:51 +0100
commit559df19e65a7e2d45af9cc85e06af14b86d06009 (patch)
tree68190041d9b26c4f3a26a9969e47941d6f4afbad
parentbf5873f5dbef29ff9990131c00bdd6d32b7a2f85 (diff)
parent47e72c7250bff568735df829a40bcbea0a48f7c2 (diff)
Merge pull request #242 from mglisse/genrips
Generators for Simplex_tree
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree.h76
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h12
-rw-r--r--src/Simplex_tree/test/simplex_tree_unit_test.cpp36
3 files changed, 112 insertions, 12 deletions
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree.h b/src/Simplex_tree/include/gudhi/Simplex_tree.h
index 7b39a500..b7fb9002 100644
--- a/src/Simplex_tree/include/gudhi/Simplex_tree.h
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree.h
@@ -24,6 +24,7 @@
#include <boost/iterator/transform_iterator.hpp>
#include <boost/graph/adjacency_list.hpp>
#include <boost/range/adaptor/reversed.hpp>
+#include <boost/container/static_vector.hpp>
#ifdef GUDHI_USE_TBB
#include <tbb/parallel_sort.h>
@@ -246,8 +247,8 @@ class Simplex_tree {
* which is consequenlty
* equal to \f$(-1)^{\text{dim} \sigma}\f$ the canonical orientation on the simplex.
*/
- Simplex_vertex_range simplex_vertex_range(Simplex_handle sh) {
- assert(sh != null_simplex()); // Empty simplex
+ Simplex_vertex_range simplex_vertex_range(Simplex_handle sh) const {
+ GUDHI_CHECK(sh != null_simplex(), "empty simplex");
return Simplex_vertex_range(Simplex_vertex_iterator(this, sh),
Simplex_vertex_iterator(this));
}
@@ -450,6 +451,15 @@ class Simplex_tree {
return true;
}
+ /** \brief Returns the filtration value of a simplex.
+ *
+ * Same as `filtration()`, but does not handle `null_simplex()`.
+ */
+ static Filtration_value filtration_(Simplex_handle sh) {
+ GUDHI_CHECK (sh != null_simplex(), "null simplex");
+ return sh->second.filtration();
+ }
+
public:
/** \brief Returns the key associated to a simplex.
*
@@ -827,7 +837,7 @@ class Simplex_tree {
/** Returns the Siblings containing a simplex.*/
template<class SimplexHandle>
- Siblings* self_siblings(SimplexHandle sh) {
+ static Siblings* self_siblings(SimplexHandle sh) {
if (sh->second.children()->parent() == sh->first)
return sh->second.children()->oncles();
else
@@ -1469,6 +1479,66 @@ class Simplex_tree {
}
}
+ /** \brief Returns a vertex of `sh` that has the same filtration value as `sh` if it exists, and `null_vertex()` otherwise.
+ *
+ * For a lower-star filtration built with `make_filtration_non_decreasing()`, this is a way to invert the process and find out which vertex had its filtration value propagated to `sh`.
+ * If several vertices have the same filtration value, the one it returns is arbitrary. */
+ Vertex_handle vertex_with_same_filtration(Simplex_handle sh) {
+ auto filt = filtration_(sh);
+ for(auto v : simplex_vertex_range(sh))
+ if(filtration_(find_vertex(v)) == filt)
+ return v;
+ return null_vertex();
+ }
+
+ /** \brief Returns an edge of `sh` that has the same filtration value as `sh` if it exists, and `null_simplex()` otherwise.
+ *
+ * For a flag-complex built with `expansion()`, this is a way to invert the process and find out which edge had its filtration value propagated to `sh`.
+ * If several edges have the same filtration value, the one it returns is arbitrary.
+ *
+ * \pre `sh` must have dimension at least 1. */
+ Simplex_handle edge_with_same_filtration(Simplex_handle sh) {
+ // See issue #251 for potential speed improvements.
+ auto&& vertices = simplex_vertex_range(sh); // vertices in decreasing order
+ auto end = std::end(vertices);
+ auto vi = std::begin(vertices);
+ GUDHI_CHECK(vi != end, "empty simplex");
+ auto v0 = *vi;
+ ++vi;
+ GUDHI_CHECK(vi != end, "simplex of dimension 0");
+ if(std::next(vi) == end) return sh; // shortcut for dimension 1
+ boost::container::static_vector<Vertex_handle, 40> suffix;
+ suffix.push_back(v0);
+ auto filt = filtration_(sh);
+ do
+ {
+ Vertex_handle v = *vi;
+ auto&& children1 = find_vertex(v)->second.children()->members_;
+ for(auto w : suffix){
+ // Can we take advantage of the fact that suffix is ordered?
+ Simplex_handle s = children1.find(w);
+ if(filtration_(s) == filt)
+ return s;
+ }
+ suffix.push_back(v);
+ }
+ while(++vi != end);
+ return null_simplex();
+ }
+
+ /** \brief Returns a minimal face of `sh` that has the same filtration value as `sh`.
+ *
+ * For a filtration built with `make_filtration_non_decreasing()`, this is a way to invert the process and find out which simplex had its filtration value propagated to `sh`.
+ * If several minimal (for inclusion) simplices have the same filtration value, the one it returns is arbitrary, and it is not guaranteed to be the one with smallest dimension. */
+ Simplex_handle minimal_simplex_with_same_filtration(Simplex_handle sh) {
+ auto filt = filtration_(sh);
+ // Naive implementation, it can be sped up.
+ for(auto b : boundary_simplex_range(sh))
+ if(filtration_(b) == filt)
+ return minimal_simplex_with_same_filtration(b);
+ return sh; // None of its faces has the same filtration.
+ }
+
private:
Vertex_handle null_vertex_;
/** \brief Total number of simplices in the complex, without the empty simplex.*/
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 efccf2f2..9007b6bd 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
@@ -15,9 +15,7 @@
#include <boost/iterator/iterator_facade.hpp>
#include <boost/version.hpp>
-#if BOOST_VERSION >= 105600
-# include <boost/container/static_vector.hpp>
-#endif
+#include <boost/container/static_vector.hpp>
#include <vector>
@@ -42,13 +40,13 @@ class Simplex_tree_simplex_vertex_iterator : public boost::iterator_facade<
typedef typename SimplexTree::Siblings Siblings;
typedef typename SimplexTree::Vertex_handle Vertex_handle;
- explicit Simplex_tree_simplex_vertex_iterator(SimplexTree * st)
+ explicit Simplex_tree_simplex_vertex_iterator(SimplexTree const* st)
: // any end() iterator
sib_(nullptr),
v_(st->null_vertex()) {
}
- Simplex_tree_simplex_vertex_iterator(SimplexTree * st, Simplex_handle sh)
+ Simplex_tree_simplex_vertex_iterator(SimplexTree const* st, Simplex_handle sh)
: sib_(st->self_siblings(sh)),
v_(sh->first) {
}
@@ -166,15 +164,11 @@ class Simplex_tree_boundary_simplex_iterator : public boost::iterator_facade<
// Most of the storage should be moved to the range, iterators should be light.
Vertex_handle last_; // last vertex of the simplex
Vertex_handle next_; // next vertex to push in suffix_
-#if BOOST_VERSION >= 105600
// 40 seems a conservative bound on the dimension of a Simplex_tree for now,
// as it would not fit on the biggest hard-drive.
boost::container::static_vector<Vertex_handle, 40> suffix_;
// static_vector still has some overhead compared to a trivial hand-made
// version using std::aligned_storage, or compared to making suffix_ static.
-#else
- std::vector<Vertex_handle> suffix_;
-#endif
Siblings * sib_; // where the next search will start from
Simplex_handle sh_; // current Simplex_handle in the boundary
SimplexTree * st_; // simplex containing the simplicial complex
diff --git a/src/Simplex_tree/test/simplex_tree_unit_test.cpp b/src/Simplex_tree/test/simplex_tree_unit_test.cpp
index e739ad0a..3872c4ca 100644
--- a/src/Simplex_tree/test/simplex_tree_unit_test.cpp
+++ b/src/Simplex_tree/test/simplex_tree_unit_test.cpp
@@ -902,5 +902,41 @@ BOOST_AUTO_TEST_CASE_TEMPLATE(insert_duplicated_vertices, typeST, list_of_tested
<< " - num_simplices = " << st.num_simplices() << std::endl;
BOOST_CHECK(st.dimension() == 1);
BOOST_CHECK(st.num_simplices() == st.num_vertices() + 1);
+}
+BOOST_AUTO_TEST_CASE_TEMPLATE(generators, typeST, list_of_tested_variants) {
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "TEST FIND GENERATORS" << std::endl;
+ {
+ typeST st;
+ st.insert_simplex_and_subfaces({0,1,2,3,4,5,6},0);
+ st.assign_filtration(st.find({0,2,4}), 10);
+ st.assign_filtration(st.find({1,5}), 20);
+ st.assign_filtration(st.find({1,2,4}), 30);
+ st.assign_filtration(st.find({3}), 5);
+ st.make_filtration_non_decreasing();
+ BOOST_CHECK(st.filtration(st.find({1,2}))==0);
+ BOOST_CHECK(st.filtration(st.find({0,1,2,3,4}))==30);
+ BOOST_CHECK(st.minimal_simplex_with_same_filtration(st.find({0,1,2,3,4,5}))==st.find({1,2,4}));
+ BOOST_CHECK(st.minimal_simplex_with_same_filtration(st.find({0,2,3}))==st.find({3}));
+ auto s=st.minimal_simplex_with_same_filtration(st.find({0,2,6}));
+ BOOST_CHECK(s==st.find({0})||s==st.find({2})||s==st.find({6}));
+ BOOST_CHECK(st.vertex_with_same_filtration(st.find({2}))==2);
+ BOOST_CHECK(st.vertex_with_same_filtration(st.find({1,5}))==st.null_vertex());
+ BOOST_CHECK(st.vertex_with_same_filtration(st.find({5,6}))>=5);
+ }
+ {
+ typeST st;
+ st.insert_simplex_and_subfaces({0,1}, 8);
+ st.insert_simplex_and_subfaces({0,2}, 10);
+ st.insert_simplex_and_subfaces({3,4}, 6);
+ st.insert_simplex_and_subfaces({1,2}, 5);
+ st.insert_simplex_and_subfaces({1,5}, 4);
+ st.insert_simplex_and_subfaces({0,5}, 3);
+ st.insert_simplex_and_subfaces({2,5}, 2);
+ st.insert_simplex_and_subfaces({1,3}, 9);
+ st.expansion(50);
+ BOOST_CHECK(st.edge_with_same_filtration(st.find({0,1,2,5}))==st.find({0,2}));
+ BOOST_CHECK(st.edge_with_same_filtration(st.find({1,5}))==st.find({1,5}));
+ }
}