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-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree.h172
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_iterators.h3
-rw-r--r--src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h4
-rw-r--r--src/Simplex_tree/test/simplex_tree_unit_test.cpp352
4 files changed, 514 insertions, 17 deletions
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree.h b/src/Simplex_tree/include/gudhi/Simplex_tree.h
index 8a1a1344..9388fedb 100644
--- a/src/Simplex_tree/include/gudhi/Simplex_tree.h
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree.h
@@ -30,23 +30,26 @@
#include <gudhi/reader_utils.h>
#include <gudhi/graph_simplicial_complex.h>
+#include <gudhi/Debug_utils.h>
#include <boost/container/flat_map.hpp>
#include <boost/iterator/transform_iterator.hpp>
#include <boost/graph/adjacency_list.hpp>
+#include <boost/range/adaptor/reversed.hpp>
#ifdef GUDHI_USE_TBB
#include <tbb/parallel_sort.h>
#endif
-#include <algorithm>
#include <utility>
#include <vector>
#include <functional> // for greater<>
+#include <stdexcept>
+#include <limits> // Inf
#include <initializer_list>
+#include <algorithm> // for std::max
namespace Gudhi {
-
/** \defgroup simplex_tree Filtered Complexes
*
* A simplicial complex \f$\mathbf{K}\f$
@@ -138,7 +141,8 @@ class Simplex_tree {
void assign_key(Simplex_key) { }
Simplex_key key() const { assert(false); return -1; }
};
- typedef typename std::conditional<Options::store_key, Key_simplex_base_real, Key_simplex_base_dummy>::type Key_simplex_base;
+ typedef typename std::conditional<Options::store_key, Key_simplex_base_real, Key_simplex_base_dummy>::type
+ Key_simplex_base;
struct Filtration_simplex_base_real {
Filtration_simplex_base_real() : filt_(0) {}
@@ -304,7 +308,8 @@ class Simplex_tree {
* of the simplex.
*
* @param[in] sh Simplex for which the boundary is computed. */
- Boundary_simplex_range boundary_simplex_range(Simplex_handle sh) {
+ template<class SimplexHandle>
+ Boundary_simplex_range boundary_simplex_range(SimplexHandle sh) {
return Boundary_simplex_range(Boundary_simplex_iterator(this, sh),
Boundary_simplex_iterator(this));
}
@@ -445,6 +450,15 @@ class Simplex_tree {
}
}
+ /** \brief Sets the filtration value of a simplex.
+ * \exception std::invalid_argument In debug mode, if sh is a null_simplex.
+ */
+ void assign_filtration(Simplex_handle sh, Filtration_value fv) {
+ GUDHI_CHECK(sh != null_simplex(),
+ std::invalid_argument("Simplex_tree::assign_filtration - cannot assign filtration on null_simplex"));
+ sh->second.assign_filtration(fv);
+ }
+
/** \brief Returns an upper bound of the filtration values of the simplices. */
Filtration_value filtration() const {
return threshold_;
@@ -514,9 +528,10 @@ class Simplex_tree {
return dimension_;
}
- /** \brief Returns true iff the node in the simplex tree pointed by
+ /** \brief Returns true if the node in the simplex tree pointed by
* sh has children.*/
- bool has_children(Simplex_handle sh) const {
+ template<class SimplexHandle>
+ bool has_children(SimplexHandle sh) const {
return (sh->second.children()->parent() == sh->first);
}
@@ -582,7 +597,19 @@ class Simplex_tree {
private:
/** \brief Inserts a simplex represented by a vector of vertex.
- \warning the vector must be sorted by increasing vertex handle order */
+ * @param[in] simplex vector of Vertex_handles, representing the vertices of the new simplex. The vector must be
+ * sorted by increasing vertex handle order.
+ * @param[in] filtration the filtration value assigned to the new simplex.
+ * @return If the new simplex is inserted successfully (i.e. it was not in the
+ * simplicial complex yet) the bool is set to true and the Simplex_handle is the handle assigned
+ * to the new simplex.
+ * If the insertion fails (the simplex is already there), the bool is set to false. If the insertion
+ * fails and the simplex already in the complex has a filtration value strictly bigger than 'filtration',
+ * we assign this simplex with the new value 'filtration', and set the Simplex_handle field of the
+ * output pair to the Simplex_handle of the simplex. Otherwise, we set the Simplex_handle part to
+ * null_simplex.
+ *
+ */
std::pair<Simplex_handle, bool> insert_vertex_vector(const std::vector<Vertex_handle>& simplex,
Filtration_value filtration) {
Siblings * curr_sib = &root_;
@@ -615,7 +642,7 @@ class Simplex_tree {
*
* @param[in] simplex range of Vertex_handles, representing the vertices of the new simplex
* @param[in] filtration the filtration value assigned to the new simplex.
- * The return type is a pair. If the new simplex is inserted successfully (i.e. it was not in the
+ * @return If the new simplex is inserted successfully (i.e. it was not in the
* simplicial complex yet) the bool is set to true and the Simplex_handle is the handle assigned
* to the new simplex.
* If the insertion fails (the simplex is already there), the bool is set to false. If the insertion
@@ -654,7 +681,7 @@ class Simplex_tree {
*
* @param[in] Nsimplex range of Vertex_handles, representing the vertices of the new N-simplex
* @param[in] filtration the filtration value assigned to the new N-simplex.
- * The return type is a pair. If the new simplex is inserted successfully (i.e. it was not in the
+ * @return If the new simplex is inserted successfully (i.e. it was not in the
* simplicial complex yet) the bool is set to true and the Simplex_handle is the handle assigned
* to the new simplex.
* If the insertion fails (the simplex is already there), the bool is set to false. If the insertion
@@ -663,7 +690,7 @@ class Simplex_tree {
* output pair to the Simplex_handle of the simplex. Otherwise, we set the Simplex_handle part to
* null_simplex.
*/
- template<class InputVertexRange=std::initializer_list<Vertex_handle>>
+ template<class InputVertexRange = std::initializer_list<Vertex_handle>>
std::pair<Simplex_handle, bool> insert_simplex_and_subfaces(const InputVertexRange& Nsimplex,
Filtration_value filtration = 0) {
auto first = std::begin(Nsimplex);
@@ -717,7 +744,7 @@ class Simplex_tree {
} else if (the_simplex.size() == 1) {
// When reaching the end of recursivity, vector of simplices shall be empty and filled on back recursive
if ((to_be_inserted.size() != 0) || (to_be_propagated.size() != 0)) {
- std::cerr << "Simplex_tree::rec_insert_simplex_and_subfaces - Error vector not empty" << std::endl;
+ std::cerr << "Simplex_tree::rec_insert_simplex_and_subfaces - Error vector not empty\n";
exit(-1);
}
std::vector<Vertex_handle> first_simplex(1, the_simplex.back());
@@ -726,7 +753,7 @@ class Simplex_tree {
insert_result = insert_vertex_vector(first_simplex, filtration);
} else {
- std::cerr << "Simplex_tree::rec_insert_simplex_and_subfaces - Recursivity error" << std::endl;
+ std::cerr << "Simplex_tree::rec_insert_simplex_and_subfaces - Recursivity error\n";
exit(-1);
}
return insert_result;
@@ -739,7 +766,6 @@ class Simplex_tree {
sh->second.assign_key(key);
}
- public:
/** Returns the two Simplex_handle corresponding to the endpoints of
* and edge. sh must point to a 1-dimensional simplex. This is an
* optimized version of the boundary computation. */
@@ -749,7 +775,8 @@ class Simplex_tree {
}
/** Returns the Siblings containing a simplex.*/
- Siblings * self_siblings(Simplex_handle sh) {
+ template<class SimplexHandle>
+ Siblings* self_siblings(SimplexHandle sh) {
if (sh->second.children()->parent() == sh->first)
return sh->second.children()->oncles();
else
@@ -928,7 +955,7 @@ class Simplex_tree {
bool operator()(const Simplex_handle sh1, const Simplex_handle sh2) const {
// Not using st_->filtration(sh1) because it uselessly tests for null_simplex.
if (sh1->second.filtration() != sh2->second.filtration()) {
- return sh1->second.filtration() < sh2->second.filtration();
+ return sh1->second.filtration() < sh2->second.filtration();
}
// is sh1 a proper subface of sh2
return st_->reverse_lexicographic_order(sh1, sh2);
@@ -1105,6 +1132,120 @@ class Simplex_tree {
}
}
+ public:
+ /** \brief Browse the simplex tree to ensure the filtration is not decreasing.
+ * The simplex tree is browsed starting from the root until the leaf, and the filtration values are set with their
+ * parent value (increased), in case the values are decreasing.
+ * @return The filtration modification information.
+ * \post Some simplex tree functions require the filtration to be valid. `make_filtration_non_decreasing()`
+ * function is not launching `initialize_filtration()` but returns the filtration modification information. If the
+ * complex has changed , please call `initialize_filtration()` to recompute it.
+ */
+ bool make_filtration_non_decreasing() {
+ bool modified = false;
+ // Loop must be from the end to the beginning, as higher dimension simplex are always on the left part of the tree
+ for (auto& simplex : boost::adaptors::reverse(root_.members())) {
+ if (has_children(&simplex)) {
+ modified |= rec_make_filtration_non_decreasing(simplex.second.children());
+ }
+ }
+ return modified;
+ }
+
+ private:
+ /** \brief Recursively Browse the simplex tree to ensure the filtration is not decreasing.
+ * @param[in] sib Siblings to be parsed.
+ * @return The filtration modification information in order to trigger initialize_filtration.
+ */
+ bool rec_make_filtration_non_decreasing(Siblings * sib) {
+ bool modified = false;
+
+ // Loop must be from the end to the beginning, as higher dimension simplex are always on the left part of the tree
+ for (auto& simplex : boost::adaptors::reverse(sib->members())) {
+ // Find the maximum filtration value in the border
+ Boundary_simplex_range boundary = boundary_simplex_range(&simplex);
+ Boundary_simplex_iterator max_border = std::max_element(std::begin(boundary), std::end(boundary),
+ [](Simplex_handle sh1, Simplex_handle sh2) {
+ return filtration(sh1) < filtration(sh2);
+ });
+
+ Filtration_value max_filt_border_value = filtration(*max_border);
+ if (simplex.second.filtration() < max_filt_border_value) {
+ // Store the filtration modification information
+ modified = true;
+ simplex.second.assign_filtration(max_filt_border_value);
+ }
+ if (has_children(&simplex)) {
+ modified |= rec_make_filtration_non_decreasing(simplex.second.children());
+ }
+ }
+ // Make the modified information to be traced by upper call
+ return modified;
+ }
+
+ public:
+ /** \brief Prune above filtration value given as parameter.
+ * @param[in] filtration Maximum threshold value.
+ * @return The filtration modification information.
+ * \post Some simplex tree functions require the filtration to be valid. `prune_above_filtration()`
+ * function is not launching `initialize_filtration()` but returns the filtration modification information. If the
+ * complex has changed , please call `initialize_filtration()` to recompute it.
+ */
+ bool prune_above_filtration(Filtration_value filtration) {
+ return rec_prune_above_filtration(root(), filtration);
+ }
+
+ private:
+ bool rec_prune_above_filtration(Siblings* sib, Filtration_value filt) {
+ auto&& list = sib->members();
+ auto last = std::remove_if(list.begin(), list.end(), [=](Dit_value_t& simplex) {
+ if (simplex.second.filtration() <= filt) return false;
+ if (has_children(&simplex)) rec_delete(simplex.second.children());
+ return true;
+ });
+
+ bool modified = (last != list.end());
+ if (last == list.begin() && sib != root()) {
+ // Removing the whole siblings, parent becomes a leaf.
+ sib->oncles()->members()[sib->parent()].assign_children(sib->oncles());
+ delete sib;
+ return true;
+ } else {
+ // Keeping some elements of siblings. Remove the others, and recurse in the remaining ones.
+ list.erase(last, list.end());
+ for (auto&& simplex : list)
+ if (has_children(&simplex))
+ modified |= rec_prune_above_filtration(simplex.second.children(), filt);
+ }
+ return modified;
+ }
+
+ public:
+ /** \brief Remove a maximal simplex.
+ * @param[in] sh Simplex handle on the maximal simplex to remove.
+ * \pre Please check the simplex has no coface before removing it.
+ * \exception std::invalid_argument In debug mode, if sh has children.
+ * \post Be aware that removing is shifting data in a flat_map (initialize_filtration to be done).
+ */
+ void remove_maximal_simplex(Simplex_handle sh) {
+ // Guarantee the simplex has no children
+ GUDHI_CHECK(!has_children(sh),
+ std::invalid_argument("Simplex_tree::remove_maximal_simplex - argument has children"));
+
+ // Simplex is a leaf, it means the child is the Siblings owning the leaf
+ Siblings* child = sh->second.children();
+
+ if ((child->size() > 1) || (child == root())) {
+ // Not alone, just remove it from members
+ // Special case when child is the root of the simplex tree, just remove it from members
+ child->erase(sh);
+ } else {
+ // Sibling is emptied : must be deleted, and its parent must point on his own Sibling
+ child->oncles()->members().at(child->parent()).assign_children(child->oncles());
+ delete child;
+ }
+ }
+
private:
Vertex_handle null_vertex_;
/** \brief Upper bound on the filtration values of the simplices.*/
@@ -1119,7 +1260,6 @@ class Simplex_tree {
};
// Print a Simplex_tree in os.
-
template<typename...T>
std::ostream& operator<<(std::ostream & os, Simplex_tree<T...> & st) {
for (auto sh : st.filtration_simplex_range()) {
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 936b7a1f..7e0a454d 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
@@ -104,7 +104,8 @@ class Simplex_tree_boundary_simplex_iterator : public boost::iterator_facade<
st_(st) {
}
- Simplex_tree_boundary_simplex_iterator(SimplexTree * st, Simplex_handle sh)
+ template<class SimplexHandle>
+ Simplex_tree_boundary_simplex_iterator(SimplexTree * st, SimplexHandle sh)
: last_(sh->first),
sib_(nullptr),
st_(st) {
diff --git a/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h
index 072afc8d..1eca7f6f 100644
--- a/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h
+++ b/src/Simplex_tree/include/gudhi/Simplex_tree/Simplex_tree_siblings.h
@@ -116,6 +116,10 @@ class Simplex_tree_siblings {
return members_.size();
}
+ void erase(const Dictionary_it iterator) {
+ members_.erase(iterator);
+ }
+
Simplex_tree_siblings * oncles_;
Vertex_handle parent_;
Dictionary members_;
diff --git a/src/Simplex_tree/test/simplex_tree_unit_test.cpp b/src/Simplex_tree/test/simplex_tree_unit_test.cpp
index 874c3363..b1bb23b1 100644
--- a/src/Simplex_tree/test/simplex_tree_unit_test.cpp
+++ b/src/Simplex_tree/test/simplex_tree_unit_test.cpp
@@ -795,3 +795,355 @@ BOOST_AUTO_TEST_CASE(non_contiguous) {
test_simplex_is_vertex(st, *++i, 3);
BOOST_CHECK(++i == std::end(b));
}
+
+BOOST_AUTO_TEST_CASE(make_filtration_non_decreasing) {
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "MAKE FILTRATION NON DECREASING" << std::endl;
+ typedef Simplex_tree<> typeST;
+ typeST st;
+
+ st.insert_simplex_and_subfaces({2, 1, 0}, 2.0);
+ st.insert_simplex_and_subfaces({3, 0}, 2.0);
+ st.insert_simplex_and_subfaces({3, 4, 5}, 2.0);
+
+ // Inserted simplex:
+ // 1
+ // o
+ // /X\
+ // o---o---o---o
+ // 2 0 3\X/4
+ // o
+ // 5
+
+ std::cout << "Check default insertion ensures the filtration values are non decreasing" << std::endl;
+ BOOST_CHECK(!st.make_filtration_non_decreasing());
+
+ // Because of non decreasing property of simplex tree, { 0 } , { 1 } and { 0, 1 } are going to be set from value 2.0
+ // to 1.0
+ st.insert_simplex_and_subfaces({0, 1, 6, 7}, 1.0);
+
+ // Inserted simplex:
+ // 1 6
+ // o---o
+ // /X\7/
+ // o---o---o---o
+ // 2 0 3\X/4
+ // o
+ // 5
+
+ std::cout << "Check default second insertion ensures the filtration values are non decreasing" << std::endl;
+ BOOST_CHECK(!st.make_filtration_non_decreasing());
+
+ // Copy original simplex tree
+ typeST st_copy = st;
+
+ // Modify specific values for st to become like st_copy thanks to make_filtration_non_decreasing
+ st.assign_filtration(st.find({0,1,6,7}), 0.8);
+ st.assign_filtration(st.find({0,1,6}), 0.9);
+ st.assign_filtration(st.find({0,6}), 0.6);
+ st.assign_filtration(st.find({3,4,5}), 1.2);
+ st.assign_filtration(st.find({3,4}), 1.1);
+ st.assign_filtration(st.find({4,5}), 1.99);
+
+ std::cout << "Check the simplex_tree is rolled back in case of decreasing filtration values" << std::endl;
+ BOOST_CHECK(st.make_filtration_non_decreasing());
+ BOOST_CHECK(st == st_copy);
+
+ // Other simplex tree
+ typeST st_other;
+ st_other.insert_simplex_and_subfaces({2, 1, 0}, 3.0); // This one is different from st
+ st_other.insert_simplex_and_subfaces({3, 0}, 2.0);
+ st_other.insert_simplex_and_subfaces({3, 4, 5}, 2.0);
+ st_other.insert_simplex_and_subfaces({0, 1, 6, 7}, 1.0);
+
+ // Modify specific values for st to become like st_other thanks to make_filtration_non_decreasing
+ st.assign_filtration(st.find({2}), 3.0);
+ // By modifying just the simplex {2}
+ // {0,1,2}, {1,2} and {0,2} will be modified
+
+ std::cout << "Check the simplex_tree is repaired in case of decreasing filtration values" << std::endl;
+ BOOST_CHECK(st.make_filtration_non_decreasing());
+ BOOST_CHECK(st == st_other);
+
+ // Modify specific values for st still to be non-decreasing
+ st.assign_filtration(st.find({0,1,2}), 10.0);
+ st.assign_filtration(st.find({0,2}), 9.0);
+ st.assign_filtration(st.find({0,1,6,7}), 50.0);
+ st.assign_filtration(st.find({0,1,6}), 49.0);
+ st.assign_filtration(st.find({0,1,7}), 48.0);
+ // Other copy simplex tree
+ typeST st_other_copy = st;
+
+ std::cout << "Check the simplex_tree is not modified in case of non-decreasing filtration values" << std::endl;
+ BOOST_CHECK(!st.make_filtration_non_decreasing());
+ BOOST_CHECK(st == st_other_copy);
+
+}
+
+struct MyOptions : Simplex_tree_options_full_featured {
+ // Not doing persistence, so we don't need those
+ static const bool store_key = false;
+ static const bool store_filtration = false;
+ // I have few vertices
+ typedef short Vertex_handle;
+};
+
+BOOST_AUTO_TEST_CASE(remove_maximal_simplex) {
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "REMOVE MAXIMAL SIMPLEX" << std::endl;
+
+
+ typedef Simplex_tree<MyOptions> miniST;
+ miniST st;
+
+ // FIXME
+ st.set_dimension(3);
+
+ st.insert_simplex_and_subfaces({0, 1, 6, 7});
+ st.insert_simplex_and_subfaces({3, 4, 5});
+
+ // Constructs a copy at this state for further test purpose
+ miniST st_pruned = st;
+
+ st.insert_simplex_and_subfaces({3, 0});
+ st.insert_simplex_and_subfaces({2, 1, 0});
+
+ // Constructs a copy at this state for further test purpose
+ miniST st_complete = st;
+ // st_complete and st:
+ // 1 6
+ // o---o
+ // /X\7/
+ // o---o---o---o
+ // 2 0 3\X/4
+ // o
+ // 5
+ // st_pruned:
+ // 1 6
+ // o---o
+ // \7/
+ // o o---o
+ // 0 3\X/4
+ // o
+ // 5
+
+#ifdef GUDHI_DEBUG
+ std::cout << "Check exception throw in debug mode" << std::endl;
+ // throw excpt because sh has children
+ BOOST_CHECK_THROW (st.remove_maximal_simplex(st.find({0, 1, 6})), std::invalid_argument);
+ BOOST_CHECK_THROW (st.remove_maximal_simplex(st.find({3})), std::invalid_argument);
+ BOOST_CHECK(st == st_complete);
+#endif
+
+ st.remove_maximal_simplex(st.find({0, 2}));
+ st.remove_maximal_simplex(st.find({0, 1, 2}));
+ st.remove_maximal_simplex(st.find({1, 2}));
+ st.remove_maximal_simplex(st.find({2}));
+ st.remove_maximal_simplex(st.find({0, 3}));
+
+ BOOST_CHECK(st == st_pruned);
+ // Remove all, but as the simplex tree is not storing filtration, there is no modification
+ st.prune_above_filtration(0.0);
+ BOOST_CHECK(st == st_pruned);
+
+ miniST st_wo_seven;
+ // FIXME
+ st_wo_seven.set_dimension(3);
+
+ st_wo_seven.insert_simplex_and_subfaces({0, 1, 6});
+ st_wo_seven.insert_simplex_and_subfaces({3, 4, 5});
+ // st_wo_seven:
+ // 1 6
+ // o---o
+ // \X/
+ // o o---o
+ // 0 3\X/4
+ // o
+ // 5
+
+ // Remove all 7 to test the both remove_maximal_simplex cases (when _members is empty or not)
+ st.remove_maximal_simplex(st.find({0, 1, 6, 7}));
+ st.remove_maximal_simplex(st.find({0, 1, 7}));
+ st.remove_maximal_simplex(st.find({0, 6, 7}));
+ st.remove_maximal_simplex(st.find({0, 7}));
+ st.remove_maximal_simplex(st.find({1, 6, 7}));
+ st.remove_maximal_simplex(st.find({1, 7}));
+ st.remove_maximal_simplex(st.find({6, 7}));
+ st.remove_maximal_simplex(st.find({7}));
+
+ BOOST_CHECK(st == st_wo_seven);
+}
+
+BOOST_AUTO_TEST_CASE(prune_above_filtration) {
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "PRUNE ABOVE FILTRATION" << std::endl;
+ typedef Simplex_tree<> typeST;
+ typeST st;
+
+ // FIXME
+ st.set_dimension(3);
+
+ st.insert_simplex_and_subfaces({0, 1, 6, 7}, 1.0);
+ st.insert_simplex_and_subfaces({3, 4, 5}, 2.0);
+
+ // Constructs a copy at this state for further test purpose
+ typeST st_pruned = st;
+ st_pruned.initialize_filtration(); // reset
+
+ st.insert_simplex_and_subfaces({3, 0}, 3.0);
+ st.insert_simplex_and_subfaces({2, 1, 0}, 4.0);
+
+ // Constructs a copy at this state for further test purpose
+ typeST st_complete = st;
+ // st_complete and st:
+ // 1 6
+ // o---o
+ // /X\7/
+ // o---o---o---o
+ // 2 0 3\X/4
+ // o
+ // 5
+ // st_pruned:
+ // 1 6
+ // o---o
+ // \7/
+ // o o---o
+ // 0 3\X/4
+ // o
+ // 5
+
+ bool simplex_is_changed = false;
+ // Check the no action cases
+ // greater than initial filtration value
+ simplex_is_changed = st.prune_above_filtration(10.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ BOOST_CHECK(st == st_complete);
+ BOOST_CHECK(!simplex_is_changed);
+ // equal to initial filtration value
+ simplex_is_changed = st.prune_above_filtration(6.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ BOOST_CHECK(st == st_complete);
+ BOOST_CHECK(!simplex_is_changed);
+ // lower than initial filtration value, but still greater than the maximum filtration value
+ simplex_is_changed = st.prune_above_filtration(5.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ BOOST_CHECK(st == st_complete);
+ BOOST_CHECK(!simplex_is_changed);
+
+ // Display the Simplex_tree
+ std::cout << "The complex contains " << st.num_simplices() << " simplices";
+ std::cout << " - dimension " << st.dimension() << std::endl;
+ std::cout << "Iterator on Simplices in the filtration, with [filtration value]:" << std::endl;
+ for (auto f_simplex : st.filtration_simplex_range()) {
+ std::cout << " " << "[" << st.filtration(f_simplex) << "] ";
+ for (auto vertex : st.simplex_vertex_range(f_simplex)) {
+ std::cout << (int) vertex << " ";
+ }
+ std::cout << std::endl;
+ }
+
+ // Check the pruned cases
+ simplex_is_changed = st.prune_above_filtration(2.5);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ BOOST_CHECK(st == st_pruned);
+ BOOST_CHECK(simplex_is_changed);
+
+ // Display the Simplex_tree
+ std::cout << "The complex pruned at 2.5 contains " << st.num_simplices() << " simplices";
+ std::cout << " - dimension " << st.dimension() << std::endl;
+
+ simplex_is_changed = st.prune_above_filtration(2.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+
+ std::cout << "The complex pruned at 2.0 contains " << st.num_simplices() << " simplices";
+ std::cout << " - dimension " << st.dimension() << std::endl;
+
+ BOOST_CHECK(st == st_pruned);
+ BOOST_CHECK(!simplex_is_changed);
+
+ typeST st_empty;
+ // FIXME
+ st_empty.set_dimension(3);
+ simplex_is_changed = st.prune_above_filtration(0.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+
+ // Display the Simplex_tree
+ std::cout << "The complex pruned at 0.0 contains " << st.num_simplices() << " simplices";
+ std::cout << " - dimension " << st.dimension() << std::endl;
+
+ BOOST_CHECK(st == st_empty);
+ BOOST_CHECK(simplex_is_changed);
+
+ // Test case to the limit
+ simplex_is_changed = st.prune_above_filtration(-1.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ BOOST_CHECK(st == st_empty);
+ BOOST_CHECK(!simplex_is_changed);
+}
+
+BOOST_AUTO_TEST_CASE(mini_prune_above_filtration) {
+ std::cout << "********************************************************************" << std::endl;
+ std::cout << "MINI PRUNE ABOVE FILTRATION" << std::endl;
+ typedef Simplex_tree<MyOptions> typeST;
+ typeST st;
+
+ // FIXME
+ st.set_dimension(3);
+
+ st.insert_simplex_and_subfaces({0, 1, 6, 7});
+ st.insert_simplex_and_subfaces({3, 4, 5});
+ st.insert_simplex_and_subfaces({3, 0});
+ st.insert_simplex_and_subfaces({2, 1, 0});
+
+ // st:
+ // 1 6
+ // o---o
+ // /X\7/
+ // o---o---o---o
+ // 2 0 3\X/4
+ // o
+ // 5
+
+ st.initialize_filtration();
+
+ // Display the Simplex_tree
+ std::cout << "The complex contains " << st.num_simplices() << " simplices" << std::endl;
+ BOOST_CHECK(st.num_simplices() == 27);
+
+ // Test case to the limit - With these options, there is no filtration, which means filtration is 0
+ bool simplex_is_changed = st.prune_above_filtration(1.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ // Display the Simplex_tree
+ std::cout << "The complex pruned at 1.0 contains " << st.num_simplices() << " simplices" << std::endl;
+ BOOST_CHECK(!simplex_is_changed);
+ BOOST_CHECK(st.num_simplices() == 27);
+
+ simplex_is_changed = st.prune_above_filtration(0.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ // Display the Simplex_tree
+ std::cout << "The complex pruned at 0.0 contains " << st.num_simplices() << " simplices" << std::endl;
+ BOOST_CHECK(!simplex_is_changed);
+ BOOST_CHECK(st.num_simplices() == 27);
+
+ // Test case to the limit
+ simplex_is_changed = st.prune_above_filtration(-1.0);
+ if (simplex_is_changed)
+ st.initialize_filtration();
+ // Display the Simplex_tree
+ std::cout << "The complex pruned at -1.0 contains " << st.num_simplices() << " simplices" << std::endl;
+ BOOST_CHECK(simplex_is_changed);
+ BOOST_CHECK(st.num_simplices() == 0);
+
+ // Display the Simplex_tree
+ std::cout << "The complex contains " << st.num_simplices() << " simplices" << std::endl;
+
+} \ No newline at end of file