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+// Copyright (c) 2002,2011,2014 Utrecht University (The Netherlands), Max-Planck-Institute Saarbruecken (Germany).
+// All rights reserved.
+//
+// This file is part of CGAL (www.cgal.org).
+// You can redistribute it and/or modify it under the terms of the GNU
+// General Public License as published by the Free Software Foundation,
+// either version 3 of the License, or (at your option) any later version.
+//
+// Licensees holding a valid commercial license may use this file in
+// accordance with the commercial license agreement provided with the software.
+//
+// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
+// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
+//
+// $URL$
+// $Id$
+//
+// Author(s) : Hans Tangelder (<hanst@cs.uu.nl>),
+// : Waqar Khan <wkhan@mpi-inf.mpg.de>
+
+#ifndef CGAL_KD_TREE_H
+#define CGAL_KD_TREE_H
+
+#include "Kd_tree_node.h"
+
+#include <CGAL/basic.h>
+#include <CGAL/assertions.h>
+#include <vector>
+
+#include <CGAL/algorithm.h>
+#include <CGAL/internal/Get_dimension_tag.h>
+#include <CGAL/Search_traits.h>
+
+
+#include <deque>
+#include <boost/container/deque.hpp>
+#include <boost/optional.hpp>
+
+#ifdef CGAL_HAS_THREADS
+#include <CGAL/mutex.h>
+#endif
+
+namespace CGAL {
+
+//template <class SearchTraits, class Splitter_=Median_of_rectangle<SearchTraits>, class UseExtendedNode = Tag_true >
+template <class SearchTraits, class Splitter_=Sliding_midpoint<SearchTraits>, class UseExtendedNode = Tag_true >
+class Kd_tree {
+
+public:
+ typedef SearchTraits Traits;
+ typedef Splitter_ Splitter;
+ typedef typename SearchTraits::Point_d Point_d;
+ typedef typename Splitter::Container Point_container;
+
+ typedef typename SearchTraits::FT FT;
+ typedef Kd_tree_node<SearchTraits, Splitter, UseExtendedNode > Node;
+ typedef Kd_tree_leaf_node<SearchTraits, Splitter, UseExtendedNode > Leaf_node;
+ typedef Kd_tree_internal_node<SearchTraits, Splitter, UseExtendedNode > Internal_node;
+ typedef Kd_tree<SearchTraits, Splitter> Tree;
+ typedef Kd_tree<SearchTraits, Splitter,UseExtendedNode> Self;
+
+ typedef Node* Node_handle;
+ typedef const Node* Node_const_handle;
+ typedef Leaf_node* Leaf_node_handle;
+ typedef const Leaf_node* Leaf_node_const_handle;
+ typedef Internal_node* Internal_node_handle;
+ typedef const Internal_node* Internal_node_const_handle;
+ typedef typename std::vector<const Point_d*>::const_iterator Point_d_iterator;
+ typedef typename std::vector<const Point_d*>::const_iterator Point_d_const_iterator;
+ typedef typename Splitter::Separator Separator;
+ typedef typename std::vector<Point_d>::const_iterator iterator;
+ typedef typename std::vector<Point_d>::const_iterator const_iterator;
+
+ typedef typename std::vector<Point_d>::size_type size_type;
+
+ typedef typename internal::Get_dimension_tag<SearchTraits>::Dimension D;
+
+private:
+ SearchTraits traits_;
+ Splitter split;
+
+
+ // wokaround for https://svn.boost.org/trac/boost/ticket/9332
+#if (_MSC_VER == 1800) && (BOOST_VERSION == 105500)
+ std::deque<Internal_node> internal_nodes;
+ std::deque<Leaf_node> leaf_nodes;
+#else
+ boost::container::deque<Internal_node> internal_nodes;
+ boost::container::deque<Leaf_node> leaf_nodes;
+#endif
+
+ Node_handle tree_root;
+
+ Kd_tree_rectangle<FT,D>* bbox;
+ std::vector<Point_d> pts;
+
+ // Instead of storing the points in arrays in the Kd_tree_node
+ // we put all the data in a vector in the Kd_tree.
+ // and we only store an iterator range in the Kd_tree_node.
+ //
+ std::vector<const Point_d*> data;
+
+
+ #ifdef CGAL_HAS_THREADS
+ mutable CGAL_MUTEX building_mutex;//mutex used to protect const calls inducing build()
+ #endif
+ bool built_;
+ bool removed_;
+
+ // protected copy constructor
+ Kd_tree(const Tree& tree)
+ : traits_(tree.traits_),built_(tree.built_)
+ {};
+
+
+ // Instead of the recursive construction of the tree in the class Kd_tree_node
+ // we do this in the tree class. The advantage is that we then can optimize
+ // the allocation of the nodes.
+
+ // The leaf node
+ Node_handle
+ create_leaf_node(Point_container& c)
+ {
+ Leaf_node node(true , static_cast<unsigned int>(c.size()));
+ std::ptrdiff_t tmp = c.begin() - data.begin();
+ node.data = pts.begin() + tmp;
+
+ leaf_nodes.push_back(node);
+ Leaf_node_handle nh = &leaf_nodes.back();
+
+
+ return nh;
+ }
+
+
+ // The internal node
+
+ Node_handle
+ create_internal_node(Point_container& c, const Tag_true&)
+ {
+ return create_internal_node_use_extension(c);
+ }
+
+ Node_handle
+ create_internal_node(Point_container& c, const Tag_false&)
+ {
+ return create_internal_node(c);
+ }
+
+
+
+ // TODO: Similiar to the leaf_init function above, a part of the code should be
+ // moved to a the class Kd_tree_node.
+ // It is not proper yet, but the goal was to see if there is
+ // a potential performance gain through the Compact_container
+ Node_handle
+ create_internal_node_use_extension(Point_container& c)
+ {
+ Internal_node node(false);
+ internal_nodes.push_back(node);
+ Internal_node_handle nh = &internal_nodes.back();
+
+ Separator sep;
+ Point_container c_low(c.dimension(),traits_);
+ split(sep, c, c_low);
+ nh->set_separator(sep);
+
+ int cd = nh->cutting_dimension();
+ if(!c_low.empty()){
+ nh->lower_low_val = c_low.tight_bounding_box().min_coord(cd);
+ nh->lower_high_val = c_low.tight_bounding_box().max_coord(cd);
+ }
+ else{
+ nh->lower_low_val = nh->cutting_value();
+ nh->lower_high_val = nh->cutting_value();
+ }
+ if(!c.empty()){
+ nh->upper_low_val = c.tight_bounding_box().min_coord(cd);
+ nh->upper_high_val = c.tight_bounding_box().max_coord(cd);
+ }
+ else{
+ nh->upper_low_val = nh->cutting_value();
+ nh->upper_high_val = nh->cutting_value();
+ }
+
+ CGAL_assertion(nh->cutting_value() >= nh->lower_low_val);
+ CGAL_assertion(nh->cutting_value() <= nh->upper_high_val);
+
+ if (c_low.size() > split.bucket_size()){
+ nh->lower_ch = create_internal_node_use_extension(c_low);
+ }else{
+ nh->lower_ch = create_leaf_node(c_low);
+ }
+ if (c.size() > split.bucket_size()){
+ nh->upper_ch = create_internal_node_use_extension(c);
+ }else{
+ nh->upper_ch = create_leaf_node(c);
+ }
+
+
+
+
+ return nh;
+ }
+
+
+ // Note also that I duplicated the code to get rid if the if's for
+ // the boolean use_extension which was constant over the construction
+ Node_handle
+ create_internal_node(Point_container& c)
+ {
+ Internal_node node(false);
+ internal_nodes.push_back(node);
+ Internal_node_handle nh = &internal_nodes.back();
+ Separator sep;
+
+ Point_container c_low(c.dimension(),traits_);
+ split(sep, c, c_low);
+ nh->set_separator(sep);
+
+ if (c_low.size() > split.bucket_size()){
+ nh->lower_ch = create_internal_node(c_low);
+ }else{
+ nh->lower_ch = create_leaf_node(c_low);
+ }
+ if (c.size() > split.bucket_size()){
+ nh->upper_ch = create_internal_node(c);
+ }else{
+ nh->upper_ch = create_leaf_node(c);
+ }
+
+
+
+ return nh;
+ }
+
+
+
+public:
+
+ Kd_tree(Splitter s = Splitter(),const SearchTraits traits=SearchTraits())
+ : traits_(traits),split(s), built_(false), removed_(false)
+ {}
+
+ template <class InputIterator>
+ Kd_tree(InputIterator first, InputIterator beyond,
+ Splitter s = Splitter(),const SearchTraits traits=SearchTraits())
+ : traits_(traits),split(s), built_(false), removed_(false)
+ {
+ pts.insert(pts.end(), first, beyond);
+ }
+
+ bool empty() const {
+ return pts.empty();
+ }
+
+ void
+ build()
+ {
+ // This function is not ready to be called when a tree already exists, one
+ // must call invalidate_built() first.
+ CGAL_assertion(!is_built());
+ CGAL_assertion(!removed_);
+ const Point_d& p = *pts.begin();
+ typename SearchTraits::Construct_cartesian_const_iterator_d ccci=traits_.construct_cartesian_const_iterator_d_object();
+ int dim = static_cast<int>(std::distance(ccci(p), ccci(p,0)));
+
+ data.reserve(pts.size());
+ for(unsigned int i = 0; i < pts.size(); i++){
+ data.push_back(&pts[i]);
+ }
+ Point_container c(dim, data.begin(), data.end(),traits_);
+ bbox = new Kd_tree_rectangle<FT,D>(c.bounding_box());
+ if (c.size() <= split.bucket_size()){
+ tree_root = create_leaf_node(c);
+ }else {
+ tree_root = create_internal_node(c, UseExtendedNode());
+ }
+
+ //Reorder vector for spatial locality
+ std::vector<Point_d> ptstmp;
+ ptstmp.resize(pts.size());
+ for (std::size_t i = 0; i < pts.size(); ++i){
+ ptstmp[i] = *data[i];
+ }
+ for(std::size_t i = 0; i < leaf_nodes.size(); ++i){
+ std::ptrdiff_t tmp = leaf_nodes[i].begin() - pts.begin();
+ leaf_nodes[i].data = ptstmp.begin() + tmp;
+ }
+ pts.swap(ptstmp);
+
+ data.clear();
+
+ built_ = true;
+ }
+
+private:
+ //any call to this function is for the moment not threadsafe
+ void const_build() const {
+ #ifdef CGAL_HAS_THREADS
+ //this ensure that build() will be called once
+ CGAL_SCOPED_LOCK(building_mutex);
+ if(!is_built())
+ #endif
+ const_cast<Self*>(this)->build(); //THIS IS NOT THREADSAFE
+ }
+public:
+
+ bool is_built() const
+ {
+ return built_;
+ }
+
+ void invalidate_built()
+ {
+ if(removed_){
+ // Walk the tree to collect the remaining points.
+ // Writing directly to pts would likely work, but better be safe.
+ std::vector<Point_d> ptstmp;
+ //ptstmp.resize(root()->num_items());
+ root()->tree_items(std::back_inserter(ptstmp));
+ pts.swap(ptstmp);
+ removed_=false;
+ CGAL_assertion(is_built()); // the rest of the cleanup must happen
+ }
+ if(is_built()){
+ internal_nodes.clear();
+ leaf_nodes.clear();
+ data.clear();
+ delete bbox;
+ built_ = false;
+ }
+ }
+
+ void clear()
+ {
+ invalidate_built();
+ pts.clear();
+ removed_ = false;
+ }
+
+ void
+ insert(const Point_d& p)
+ {
+ invalidate_built();
+ pts.push_back(p);
+ }
+
+ template <class InputIterator>
+ void
+ insert(InputIterator first, InputIterator beyond)
+ {
+ invalidate_built();
+ pts.insert(pts.end(),first, beyond);
+ }
+
+private:
+ struct Equal_by_coordinates {
+ SearchTraits const* traits;
+ Point_d const* pp;
+ bool operator()(Point_d const&q) const {
+ typename SearchTraits::Construct_cartesian_const_iterator_d ccci=traits->construct_cartesian_const_iterator_d_object();
+ return std::equal(ccci(*pp), ccci(*pp,0), ccci(q));
+ }
+ };
+ Equal_by_coordinates equal_by_coordinates(Point_d const&p){
+ Equal_by_coordinates ret = { &traits(), &p };
+ return ret;
+ }
+
+public:
+ void
+ remove(const Point_d& p)
+ {
+ remove(p, equal_by_coordinates(p));
+ }
+
+ template<class Equal>
+ void
+ remove(const Point_d& p, Equal const& equal_to_p)
+ {
+#if 0
+ // This code could have quadratic runtime.
+ if (!is_built()) {
+ std::vector<Point_d>::iterator pi = std::find(pts.begin(), pts.end(), p);
+ // Precondition: the point must be there.
+ CGAL_assertion (pi != pts.end());
+ pts.erase(pi);
+ return;
+ }
+#endif
+ bool success = remove_(p, 0, false, 0, false, root(), equal_to_p);
+ CGAL_assertion(success);
+
+ // Do not set the flag is the tree has been cleared.
+ if(is_built())
+ removed_ |= success;
+ }
+private:
+ template<class Equal>
+ bool remove_(const Point_d& p,
+ Internal_node_handle grandparent, bool parent_islower,
+ Internal_node_handle parent, bool islower,
+ Node_handle node, Equal const& equal_to_p) {
+ // Recurse to locate the point
+ if (!node->is_leaf()) {
+ Internal_node_handle newparent = static_cast<Internal_node_handle>(node);
+ // FIXME: This should be if(x<y) remove low; else remove up;
+ if (traits().construct_cartesian_const_iterator_d_object()(p)[newparent->cutting_dimension()] <= newparent->cutting_value()) {
+ if (remove_(p, parent, islower, newparent, true, newparent->lower(), equal_to_p))
+ return true;
+ }
+ //if (traits().construct_cartesian_const_iterator_d_object()(p)[newparent->cutting_dimension()] >= newparent->cutting_value())
+ return remove_(p, parent, islower, newparent, false, newparent->upper(), equal_to_p);
+
+ CGAL_assertion(false); // Point was not found
+ }
+
+ // Actual removal
+ Leaf_node_handle lnode = static_cast<Leaf_node_handle>(node);
+ if (lnode->size() > 1) {
+ iterator pi = std::find_if(lnode->begin(), lnode->end(), equal_to_p);
+ // FIXME: we should ensure this never happens
+ if (pi == lnode->end()) return false;
+ iterator lasti = lnode->end() - 1;
+ if (pi != lasti) {
+ // Hack to get a non-const iterator
+ std::iter_swap(pts.begin()+(pi-pts.begin()), pts.begin()+(lasti-pts.begin()));
+ }
+ lnode->drop_last_point();
+ } else if (!equal_to_p(*lnode->begin())) {
+ // FIXME: we should ensure this never happens
+ return false;
+ } else if (grandparent) {
+ Node_handle brother = islower ? parent->upper() : parent->lower();
+ if (parent_islower)
+ grandparent->set_lower(brother);
+ else
+ grandparent->set_upper(brother);
+ } else if (parent) {
+ tree_root = islower ? parent->upper() : parent->lower();
+ } else {
+ clear();
+ }
+ return true;
+ }
+
+public:
+ //For efficiency; reserve the size of the points vectors in advance (if the number of points is already known).
+ void reserve(size_t size)
+ {
+ pts.reserve(size);
+ }
+
+ //Get the capacity of the underlying points vector.
+ size_t capacity()
+ {
+ return pts.capacity();
+ }
+
+
+ template <class OutputIterator, class FuzzyQueryItem>
+ OutputIterator
+ search(OutputIterator it, const FuzzyQueryItem& q) const
+ {
+ if(! pts.empty()){
+
+ if(! is_built()){
+ const_build();
+ }
+ Kd_tree_rectangle<FT,D> b(*bbox);
+ return tree_root->search(it,q,b);
+ }
+ return it;
+ }
+
+
+ template <class FuzzyQueryItem>
+ boost::optional<Point_d>
+ search_any_point(const FuzzyQueryItem& q) const
+ {
+ if(! pts.empty()){
+
+ if(! is_built()){
+ const_build();
+ }
+ Kd_tree_rectangle<FT,D> b(*bbox);
+ return tree_root->search_any_point(q,b);
+ }
+ return boost::none;
+ }
+
+
+ ~Kd_tree() {
+ if(is_built()){
+ delete bbox;
+ }
+ }
+
+
+ const SearchTraits&
+ traits() const
+ {
+ return traits_;
+ }
+
+ Node_const_handle
+ root() const
+ {
+ if(! is_built()){
+ const_build();
+ }
+ return tree_root;
+ }
+
+ Node_handle
+ root()
+ {
+ if(! is_built()){
+ build();
+ }
+ return tree_root;
+ }
+
+ void
+ print() const
+ {
+ if(! is_built()){
+ const_build();
+ }
+ root()->print();
+ }
+
+ const Kd_tree_rectangle<FT,D>&
+ bounding_box() const
+ {
+ if(! is_built()){
+ const_build();
+ }
+ return *bbox;
+ }
+
+ const_iterator
+ begin() const
+ {
+ return pts.begin();
+ }
+
+ const_iterator
+ end() const
+ {
+ return pts.end();
+ }
+
+ size_type
+ size() const
+ {
+ return pts.size();
+ }
+
+ // Print statistics of the tree.
+ std::ostream&
+ statistics(std::ostream& s) const
+ {
+ if(! is_built()){
+ const_build();
+ }
+ s << "Tree statistics:" << std::endl;
+ s << "Number of items stored: "
+ << root()->num_items() << std::endl;
+ s << "Number of nodes: "
+ << root()->num_nodes() << std::endl;
+ s << " Tree depth: " << root()->depth() << std::endl;
+ return s;
+ }
+
+
+};
+
+} // namespace CGAL
+
+#endif // CGAL_KD_TREE_H