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+/* This file is part of the Gudhi Library - https://gudhi.inria.fr/ - which is released under MIT.
+ * See file LICENSE or go to https://gudhi.inria.fr/licensing/ for full license details.
+ * Author(s): David Salinas
+ *
+ * Copyright (C) 2014 Inria
+ *
+ * Modification(s):
+ * - YYYY/MM Author: Description of the modification
+ */
+
+#ifndef SKELETON_BLOCKER_INTERNAL_TRIE_H_
+#define SKELETON_BLOCKER_INTERNAL_TRIE_H_
+
+#include <memory>
+#include <vector>
+#include <deque>
+#include <set>
+
+namespace Gudhi {
+
+namespace skeleton_blocker {
+
+template<typename SimplexHandle>
+struct Trie {
+ typedef SimplexHandle Simplex;
+ typedef typename SimplexHandle::Vertex_handle Vertex_handle;
+
+ Vertex_handle v;
+ std::vector<std::shared_ptr<Trie> > childs;
+ // std::vector<std::unique_ptr<Trie> > childs; -> use of deleted function
+ private:
+ const Trie* parent_;
+
+ public:
+ Trie() : parent_(0) { }
+
+ Trie(Vertex_handle v_) : v(v_), parent_(0) { }
+
+ Trie(Vertex_handle v_, Trie* parent) : v(v_), parent_(parent) { }
+
+ bool operator==(const Trie& other) const {
+ return (v == other.v);
+ }
+
+ void add_child(Trie* child) {
+ if (child) {
+ std::shared_ptr<Trie> ptr_to_add(child);
+ childs.push_back(ptr_to_add);
+ child->parent_ = this;
+ }
+ }
+
+ typedef typename Simplex::Simplex_vertex_const_iterator Simplex_vertex_const_iterator;
+
+ Trie* make_trie(Simplex_vertex_const_iterator s_it, Simplex_vertex_const_iterator s_end) {
+ if (s_it == s_end) {
+ return 0;
+ } else {
+ Trie* res = new Trie(*s_it);
+ Trie* child = make_trie(++s_it, s_end);
+ res->add_child(child);
+ return res;
+ }
+ }
+
+ private:
+ // go down recursively in the tree while advancing the simplex iterator.
+ // when it reaches a leaf, it inserts the remaining that is not present
+ void add_simplex_helper(Simplex_vertex_const_iterator s_it, Simplex_vertex_const_iterator s_end) {
+ assert(*s_it == v);
+ ++s_it;
+ if (s_it == s_end) return;
+ if (!is_leaf()) {
+ for (auto child : childs) {
+ if (child->v == *s_it)
+ return child->add_simplex_helper(s_it, s_end);
+ }
+ // s_it is not found and needs to be inserted
+ }
+ // not leaf -> remaining of s needs to be inserted
+ Trie * son_with_what_remains_of_s(make_trie(s_it, s_end));
+ add_child(son_with_what_remains_of_s);
+ return;
+ }
+
+ void maximal_faces_helper(std::vector<Simplex>& res) const {
+ if (is_leaf()) res.push_back(simplex());
+ else
+ for (auto child : childs)
+ child->maximal_faces_helper(res);
+ }
+
+ public:
+ /**
+ * adds the simplex to the trie
+ */
+ void add_simplex(const Simplex& s) {
+ if (s.empty()) return;
+ assert(v == s.first_vertex());
+ add_simplex_helper(s.begin(), s.end());
+ }
+
+ std::vector<Simplex> maximal_faces() const {
+ std::vector<Simplex> res;
+ maximal_faces_helper(res);
+ return res;
+ }
+
+ /**
+ * Goes to the root in the trie to consitute simplex
+ */
+ void add_vertices_up_to_the_root(Simplex& res) const {
+ res.add_vertex(v);
+ if (parent_)
+ parent_->add_vertices_up_to_the_root(res);
+ }
+
+ Simplex simplex() const {
+ Simplex res;
+ add_vertices_up_to_the_root(res);
+ return res;
+ }
+
+ bool is_leaf() const {
+ return childs.empty();
+ }
+
+ bool is_root() const {
+ return parent_ == 0;
+ }
+
+ const Trie* parent() {
+ return parent_;
+ }
+
+ void remove_leaf() {
+ assert(is_leaf());
+ if (!is_root())
+ parent_->childs.erase(this);
+ }
+
+ /**
+ * true iff the simplex corresponds to one node in the trie
+ */
+ bool contains(const Simplex& s) const {
+ Trie const* current = this;
+ if (s.empty()) return true;
+ if (current->v != s.first_vertex()) return false;
+ auto s_pos = s.begin();
+ ++s_pos;
+ while (s_pos != s.end() && current != 0) {
+ bool found = false;
+ for (const auto child : current->childs) {
+ if (child->v == *s_pos) {
+ ++s_pos;
+ current = child.get();
+ found = true;
+ break;
+ }
+ }
+ if (!found) return false;
+ }
+ return current != 0;
+ }
+
+ Trie* go_bottom_left() {
+ if (is_leaf())
+ return this;
+ else
+ return (*childs.begin())->go_bottom_left();
+ }
+
+ friend std::ostream& operator<<(std::ostream& stream, const Trie& trie) {
+ stream << "T( " << trie.v << " ";
+ for (auto t : trie.childs)
+ stream << *t;
+ stream << ")";
+ return stream;
+ }
+};
+
+template<typename SimplexHandle>
+struct Tries {
+ typedef typename SimplexHandle::Vertex_handle Vertex_handle;
+ typedef SimplexHandle Simplex;
+
+ typedef Trie<Simplex> STrie;
+
+ template<typename SimpleHandleOutputIterator>
+ Tries(unsigned num_vertices, SimpleHandleOutputIterator simplex_begin, SimpleHandleOutputIterator simplex_end) :
+ cofaces_(num_vertices, 0) {
+ for (auto i = 0u; i < num_vertices; ++i)
+ cofaces_[i] = new STrie(Vertex_handle(i));
+ for (auto s_it = simplex_begin; s_it != simplex_end; ++s_it) {
+ if (s_it->dimension() >= 1)
+ cofaces_[s_it->first_vertex()]->add_simplex(*s_it);
+ }
+ }
+
+ ~Tries() {
+ for (STrie* t : cofaces_)
+ delete t;
+ }
+
+ // return a simplex that consists in all u such uv is an edge and u>v
+
+ Simplex positive_neighbors(Vertex_handle v) const {
+ Simplex res;
+ for (auto child : cofaces_[v]->childs)
+ res.add_vertex(child->v);
+ return res;
+ }
+
+ bool contains(const Simplex& s) const {
+ auto first_v = s.first_vertex();
+ return cofaces_[first_v]->contains(s);
+ }
+
+ friend std::ostream& operator<<(std::ostream& stream, const Tries& tries) {
+ for (auto trie : tries.cofaces_)
+ stream << *trie << std::endl;
+ return stream;
+ }
+
+ // init_next_dimension must be called first
+
+ std::vector<Simplex> next_dimension_simplices() const {
+ std::vector<Simplex> res;
+ while (!(to_see_.empty()) && (to_see_.front()->simplex().dimension() == current_dimension_)) {
+ res.emplace_back(to_see_.front()->simplex());
+ for (auto child : to_see_.front()->childs)
+ to_see_.push_back(child.get());
+ to_see_.pop_front();
+ }
+ ++current_dimension_;
+ return res;
+ }
+
+ void init_next_dimension() const {
+ for (auto trie : cofaces_)
+ to_see_.push_back(trie);
+ }
+
+ private:
+ mutable std::deque<STrie*> to_see_;
+ mutable int current_dimension_ = 0;
+ std::vector<STrie*> cofaces_;
+};
+
+} // namespace skeleton_blocker
+
+namespace skbl = skeleton_blocker;
+
+} // namespace Gudhi
+
+#endif // SKELETON_BLOCKER_INTERNAL_TRIE_H_