592 lines
15 KiB
C
592 lines
15 KiB
C
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// Copyright (c) 2002,2011,2014 Utrecht University (The Netherlands), Max-Planck-Institute Saarbruecken (Germany).
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// All rights reserved.
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//
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// This file is part of CGAL (www.cgal.org).
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// You can redistribute it and/or modify it under the terms of the GNU
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// General Public License as published by the Free Software Foundation,
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// either version 3 of the License, or (at your option) any later version.
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//
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// Licensees holding a valid commercial license may use this file in
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// accordance with the commercial license agreement provided with the software.
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//
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// This file is provided AS IS with NO WARRANTY OF ANY KIND, INCLUDING THE
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// WARRANTY OF DESIGN, MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.
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//
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// $URL$
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// $Id$
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// SPDX-License-Identifier: GPL-3.0+
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//
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// Author(s) : Hans Tangelder (<hanst@cs.uu.nl>),
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// : Waqar Khan <wkhan@mpi-inf.mpg.de>
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#ifndef CGAL_KD_TREE_H
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#define CGAL_KD_TREE_H
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#include <CGAL/license/Spatial_searching.h>
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#include <CGAL/disable_warnings.h>
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#include <CGAL/basic.h>
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#include <CGAL/assertions.h>
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#include <vector>
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#include <CGAL/algorithm.h>
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#include <CGAL/Kd_tree_node.h>
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#include <CGAL/Splitters.h>
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#include <CGAL/internal/Get_dimension_tag.h>
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#include <deque>
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#include <boost/container/deque.hpp>
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#include <boost/optional.hpp>
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#ifdef CGAL_HAS_THREADS
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#include <CGAL/mutex.h>
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#endif
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namespace CGAL {
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//template <class SearchTraits, class Splitter_=Median_of_rectangle<SearchTraits>, class UseExtendedNode = Tag_true >
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template <class SearchTraits, class Splitter_=Sliding_midpoint<SearchTraits>, class UseExtendedNode = Tag_true >
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class Kd_tree {
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public:
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typedef SearchTraits Traits;
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typedef Splitter_ Splitter;
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typedef typename SearchTraits::Point_d Point_d;
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typedef typename Splitter::Container Point_container;
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typedef typename SearchTraits::FT FT;
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typedef Kd_tree_node<SearchTraits, Splitter, UseExtendedNode > Node;
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typedef Kd_tree_leaf_node<SearchTraits, Splitter, UseExtendedNode > Leaf_node;
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typedef Kd_tree_internal_node<SearchTraits, Splitter, UseExtendedNode > Internal_node;
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typedef Kd_tree<SearchTraits, Splitter> Tree;
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typedef Kd_tree<SearchTraits, Splitter,UseExtendedNode> Self;
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typedef Node* Node_handle;
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typedef const Node* Node_const_handle;
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typedef Leaf_node* Leaf_node_handle;
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typedef const Leaf_node* Leaf_node_const_handle;
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typedef Internal_node* Internal_node_handle;
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typedef const Internal_node* Internal_node_const_handle;
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typedef typename std::vector<const Point_d*>::const_iterator Point_d_iterator;
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typedef typename std::vector<const Point_d*>::const_iterator Point_d_const_iterator;
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typedef typename Splitter::Separator Separator;
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typedef typename std::vector<Point_d>::const_iterator iterator;
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typedef typename std::vector<Point_d>::const_iterator const_iterator;
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typedef typename std::vector<Point_d>::size_type size_type;
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typedef typename internal::Get_dimension_tag<SearchTraits>::Dimension D;
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private:
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SearchTraits traits_;
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Splitter split;
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// wokaround for https://svn.boost.org/trac/boost/ticket/9332
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#if (_MSC_VER == 1800) && (BOOST_VERSION == 105500)
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std::deque<Internal_node> internal_nodes;
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std::deque<Leaf_node> leaf_nodes;
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#else
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boost::container::deque<Internal_node> internal_nodes;
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boost::container::deque<Leaf_node> leaf_nodes;
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#endif
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Node_handle tree_root;
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Kd_tree_rectangle<FT,D>* bbox;
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std::vector<Point_d> pts;
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// Instead of storing the points in arrays in the Kd_tree_node
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// we put all the data in a vector in the Kd_tree.
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// and we only store an iterator range in the Kd_tree_node.
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//
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std::vector<const Point_d*> data;
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#ifdef CGAL_HAS_THREADS
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mutable CGAL_MUTEX building_mutex;//mutex used to protect const calls inducing build()
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#endif
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bool built_;
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bool removed_;
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// protected copy constructor
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Kd_tree(const Tree& tree)
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: traits_(tree.traits_),built_(tree.built_)
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{};
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// Instead of the recursive construction of the tree in the class Kd_tree_node
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// we do this in the tree class. The advantage is that we then can optimize
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// the allocation of the nodes.
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// The leaf node
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Node_handle
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create_leaf_node(Point_container& c)
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{
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Leaf_node node(true , static_cast<unsigned int>(c.size()));
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std::ptrdiff_t tmp = c.begin() - data.begin();
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node.data = pts.begin() + tmp;
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leaf_nodes.push_back(node);
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Leaf_node_handle nh = &leaf_nodes.back();
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return nh;
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}
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// The internal node
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Node_handle
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create_internal_node(Point_container& c, const Tag_true&)
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{
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return create_internal_node_use_extension(c);
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}
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Node_handle
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create_internal_node(Point_container& c, const Tag_false&)
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{
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return create_internal_node(c);
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}
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// TODO: Similiar to the leaf_init function above, a part of the code should be
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// moved to a the class Kd_tree_node.
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// It is not proper yet, but the goal was to see if there is
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// a potential performance gain through the Compact_container
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Node_handle
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create_internal_node_use_extension(Point_container& c)
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{
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Internal_node node(false);
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internal_nodes.push_back(node);
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Internal_node_handle nh = &internal_nodes.back();
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Separator sep;
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Point_container c_low(c.dimension(),traits_);
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split(sep, c, c_low);
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nh->set_separator(sep);
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int cd = nh->cutting_dimension();
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if(!c_low.empty()){
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nh->lower_low_val = c_low.tight_bounding_box().min_coord(cd);
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nh->lower_high_val = c_low.tight_bounding_box().max_coord(cd);
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}
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else{
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nh->lower_low_val = nh->cutting_value();
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nh->lower_high_val = nh->cutting_value();
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}
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if(!c.empty()){
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nh->upper_low_val = c.tight_bounding_box().min_coord(cd);
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nh->upper_high_val = c.tight_bounding_box().max_coord(cd);
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}
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else{
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nh->upper_low_val = nh->cutting_value();
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nh->upper_high_val = nh->cutting_value();
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}
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CGAL_assertion(nh->cutting_value() >= nh->lower_low_val);
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CGAL_assertion(nh->cutting_value() <= nh->upper_high_val);
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if (c_low.size() > split.bucket_size()){
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nh->lower_ch = create_internal_node_use_extension(c_low);
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}else{
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nh->lower_ch = create_leaf_node(c_low);
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}
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if (c.size() > split.bucket_size()){
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nh->upper_ch = create_internal_node_use_extension(c);
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}else{
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nh->upper_ch = create_leaf_node(c);
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}
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return nh;
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}
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// Note also that I duplicated the code to get rid if the if's for
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// the boolean use_extension which was constant over the construction
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Node_handle
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create_internal_node(Point_container& c)
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{
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Internal_node node(false);
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internal_nodes.push_back(node);
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Internal_node_handle nh = &internal_nodes.back();
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Separator sep;
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Point_container c_low(c.dimension(),traits_);
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split(sep, c, c_low);
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nh->set_separator(sep);
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if (c_low.size() > split.bucket_size()){
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nh->lower_ch = create_internal_node(c_low);
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}else{
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nh->lower_ch = create_leaf_node(c_low);
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}
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if (c.size() > split.bucket_size()){
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nh->upper_ch = create_internal_node(c);
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}else{
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nh->upper_ch = create_leaf_node(c);
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}
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return nh;
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}
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public:
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Kd_tree(Splitter s = Splitter(),const SearchTraits traits=SearchTraits())
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: traits_(traits),split(s), built_(false), removed_(false)
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{}
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template <class InputIterator>
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Kd_tree(InputIterator first, InputIterator beyond,
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Splitter s = Splitter(),const SearchTraits traits=SearchTraits())
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: traits_(traits),split(s), built_(false), removed_(false)
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{
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pts.insert(pts.end(), first, beyond);
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}
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bool empty() const {
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return pts.empty();
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}
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void
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build()
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{
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// This function is not ready to be called when a tree already exists, one
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// must call invalidate_build() first.
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CGAL_assertion(!is_built());
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CGAL_assertion(!pts.empty());
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CGAL_assertion(!removed_);
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const Point_d& p = *pts.begin();
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typename SearchTraits::Construct_cartesian_const_iterator_d ccci=traits_.construct_cartesian_const_iterator_d_object();
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int dim = static_cast<int>(std::distance(ccci(p), ccci(p,0)));
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data.reserve(pts.size());
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for(unsigned int i = 0; i < pts.size(); i++){
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data.push_back(&pts[i]);
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}
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Point_container c(dim, data.begin(), data.end(),traits_);
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bbox = new Kd_tree_rectangle<FT,D>(c.bounding_box());
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if (c.size() <= split.bucket_size()){
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tree_root = create_leaf_node(c);
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}else {
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tree_root = create_internal_node(c, UseExtendedNode());
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}
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//Reorder vector for spatial locality
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std::vector<Point_d> ptstmp;
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ptstmp.resize(pts.size());
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for (std::size_t i = 0; i < pts.size(); ++i){
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ptstmp[i] = *data[i];
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}
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for(std::size_t i = 0; i < leaf_nodes.size(); ++i){
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std::ptrdiff_t tmp = leaf_nodes[i].begin() - pts.begin();
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leaf_nodes[i].data = ptstmp.begin() + tmp;
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}
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pts.swap(ptstmp);
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data.clear();
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built_ = true;
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}
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private:
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//any call to this function is for the moment not threadsafe
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void const_build() const {
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#ifdef CGAL_HAS_THREADS
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//this ensure that build() will be called once
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CGAL_SCOPED_LOCK(building_mutex);
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if(!is_built())
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#endif
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const_cast<Self*>(this)->build(); //THIS IS NOT THREADSAFE
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}
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public:
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bool is_built() const
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{
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return built_;
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}
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void invalidate_build()
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{
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if(removed_){
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// Walk the tree to collect the remaining points.
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// Writing directly to pts would likely work, but better be safe.
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std::vector<Point_d> ptstmp;
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//ptstmp.resize(root()->num_items());
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root()->tree_items(std::back_inserter(ptstmp));
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pts.swap(ptstmp);
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removed_=false;
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CGAL_assertion(is_built()); // the rest of the cleanup must happen
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}
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if(is_built()){
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internal_nodes.clear();
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leaf_nodes.clear();
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data.clear();
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delete bbox;
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built_ = false;
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}
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}
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void clear()
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{
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invalidate_build();
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pts.clear();
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removed_ = false;
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}
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void
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insert(const Point_d& p)
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{
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invalidate_build();
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pts.push_back(p);
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}
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template <class InputIterator>
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void
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insert(InputIterator first, InputIterator beyond)
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{
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invalidate_build();
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pts.insert(pts.end(),first, beyond);
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}
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private:
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struct Equal_by_coordinates {
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SearchTraits const* traits;
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Point_d const* pp;
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bool operator()(Point_d const&q) const {
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typename SearchTraits::Construct_cartesian_const_iterator_d ccci=traits->construct_cartesian_const_iterator_d_object();
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return std::equal(ccci(*pp), ccci(*pp,0), ccci(q));
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}
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};
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Equal_by_coordinates equal_by_coordinates(Point_d const&p){
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Equal_by_coordinates ret = { &traits(), &p };
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return ret;
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}
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public:
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void
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remove(const Point_d& p)
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{
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remove(p, equal_by_coordinates(p));
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}
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template<class Equal>
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void
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remove(const Point_d& p, Equal const& equal_to_p)
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{
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#if 0
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// This code could have quadratic runtime.
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if (!is_built()) {
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std::vector<Point_d>::iterator pi = std::find_if(pts.begin(), pts.end(), equal_to_p);
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// Precondition: the point must be there.
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CGAL_assertion (pi != pts.end());
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pts.erase(pi);
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return;
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}
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#endif
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bool success = remove_(p, 0, false, 0, false, root(), equal_to_p);
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CGAL_assertion(success);
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// Do not set the flag is the tree has been cleared.
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if(is_built())
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removed_ |= success;
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}
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private:
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template<class Equal>
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bool remove_(const Point_d& p,
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Internal_node_handle grandparent, bool parent_islower,
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Internal_node_handle parent, bool islower,
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Node_handle node, Equal const& equal_to_p) {
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// Recurse to locate the point
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if (!node->is_leaf()) {
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Internal_node_handle newparent = static_cast<Internal_node_handle>(node);
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// FIXME: This should be if(x<y) remove low; else remove up;
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if (traits().construct_cartesian_const_iterator_d_object()(p)[newparent->cutting_dimension()] <= newparent->cutting_value()) {
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if (remove_(p, parent, islower, newparent, true, newparent->lower(), equal_to_p))
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return true;
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}
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//if (traits().construct_cartesian_const_iterator_d_object()(p)[newparent->cutting_dimension()] >= newparent->cutting_value())
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return remove_(p, parent, islower, newparent, false, newparent->upper(), equal_to_p);
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}
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// Actual removal
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Leaf_node_handle lnode = static_cast<Leaf_node_handle>(node);
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if (lnode->size() > 1) {
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iterator pi = std::find_if(lnode->begin(), lnode->end(), equal_to_p);
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// FIXME: we should ensure this never happens
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if (pi == lnode->end()) return false;
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iterator lasti = lnode->end() - 1;
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if (pi != lasti) {
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// Hack to get a non-const iterator
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std::iter_swap(pts.begin()+(pi-pts.begin()), pts.begin()+(lasti-pts.begin()));
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}
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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(! pts.empty()){
|
||
|
if(! is_built()){
|
||
|
const_build();
|
||
|
}
|
||
|
root()->print();
|
||
|
}else{
|
||
|
std::cout << "empty tree\n";
|
||
|
}
|
||
|
}
|
||
|
|
||
|
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
|
||
|
|
||
|
#include <CGAL/enable_warnings.h>
|
||
|
|
||
|
#endif // CGAL_KD_TREE_H
|