458 lines
12 KiB
C++
Executable File
458 lines
12 KiB
C++
Executable File
// Copyright (c) 2002,2011 Utrecht University (The Netherlands).
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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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//
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// Author(s) : Hans Tangelder (<hanst@cs.uu.nl>)
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// custom point container
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#ifndef CGAL_POINT_CONTAINER_H
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#define CGAL_POINT_CONTAINER_H
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#include <CGAL/license/Spatial_searching.h>
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#include <list>
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#include <vector>
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#include <functional>
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#include <algorithm>
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#include <CGAL/Kd_tree_rectangle.h>
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#include <CGAL/internal/Get_dimension_tag.h>
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#include <boost/optional.hpp>
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namespace CGAL {
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template <class Traits>
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class Point_container {
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private:
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typedef typename Traits::Point_d Point_d;
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typedef std::vector<const Point_d*> Point_vector;
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public:
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typedef typename Traits::FT FT;
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typedef typename Point_vector::iterator iterator;
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typedef typename Point_vector::const_iterator const_iterator;
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typedef typename internal::Get_dimension_tag<Traits>::Dimension D;
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private:
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Traits traits;
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// the iterator range of the Point_container
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boost::optional<iterator> m_b ;
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boost::optional<iterator> m_e ;
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int built_coord; // a coordinate for which the pointer list is built
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Kd_tree_rectangle<FT,D> bbox; // bounding box, i.e. rectangle of node
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Kd_tree_rectangle<FT,D> tbox; // tight bounding box,
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// i.e. minimal enclosing bounding
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// box of points
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public:
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inline const Kd_tree_rectangle<FT,D>&
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bounding_box() const
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{
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return bbox;
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}
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inline const Kd_tree_rectangle<FT,D>&
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tight_bounding_box() const
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{
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return tbox;
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}
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inline int
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dimension() const
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{
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return bbox.dimension();
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}
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inline int
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built_coordinate() const
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{
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return built_coord;
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}
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// coordinate of the maximal span
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inline int
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max_span_coord() const
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{
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return bbox.max_span_coord();
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}
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// coordinate of the maximal tight span
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inline int
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max_tight_span_coord() const
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{
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return tbox.max_span_coord();
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}
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inline FT
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max_span_lower() const
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{
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return bbox.min_coord(max_span_coord());
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}
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inline FT
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max_tight_span_lower() const
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{
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return tbox.min_coord(max_tight_span_coord());
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}
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inline FT
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max_span_upper() const
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{
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return bbox.max_coord(max_span_coord());
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}
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inline FT
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max_tight_span_upper() const
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{
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return tbox.max_coord(max_tight_span_coord());
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}
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inline FT
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max_spread() const
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{
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return max_span_upper() - max_span_lower();
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}
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inline FT
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max_tight_spread() const
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{
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return max_tight_span_upper() - max_tight_span_lower();
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}
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int
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max_tight_span_coord_balanced(FT Aspect_ratio) const
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{
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int cut_dim(-1);
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FT max_spread_points(FT(-1));
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FT max_length = max_spread(); // length of longest side of box
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int dim = dimension();
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for (int d=0; d<dim; d++) {
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FT length=bbox.max_coord(d)-bbox.min_coord(d);
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if (FT(2)*max_length/length <= Aspect_ratio) {
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FT spread=tbox.max_coord(d)-tbox.min_coord(d);
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if (spread > max_spread_points) {
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max_spread_points = spread;
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cut_dim = d;
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}
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}
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}
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// CGAL_assertion(cut_dim >= 0);
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return cut_dim;
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}
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FT
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max_span_upper_without_dim(int d) const
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{
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FT max_span(FT(0));
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int dim=dimension();
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for (int i=0; i<dim; i++) {
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FT span = bbox.max_coord(i)-bbox.min_coord(i);
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if (d != i && span > max_span) max_span=span;
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}
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return max_span;
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}
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FT
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balanced_fair(int d, FT Aspect_ratio)
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{
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FT small_piece = max_span_upper_without_dim(d) / Aspect_ratio;
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FT low_cut = bbox.min_coord(d) + small_piece; // lowest legal cut;
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FT high_cut = bbox.max_coord(d) - small_piece; //highest legal cut;
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// CGAL_assertion (high_cut >= low_cut);
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FT split_value = median(d);
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if (split_value < low_cut) split_value = low_cut;
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if (split_value > high_cut) split_value = high_cut;
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return split_value;
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}
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FT
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balanced_sliding_fair(int d, FT Aspect_ratio)
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{
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FT small_piece = max_span_upper_without_dim(d) / Aspect_ratio;
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FT low_cut = bbox.min_coord(d) + small_piece; // lowest legal cut;
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FT high_cut = bbox.max_coord(d) - small_piece; //highest legal cut;
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// CGAL_assertion (high_cut >= low_cut);
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FT split_value = median(d);
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FT max_span_lower = tbox.min_coord(d);
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FT max_span_upper = tbox.max_coord(d);
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if (split_value < low_cut) split_value= max_span_lower;
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if (split_value > high_cut) split_value = max_span_upper;
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return split_value;
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}
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// points
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inline std::size_t
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size() const
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{
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return *m_e - *m_b;
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}
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inline const_iterator
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begin() const {
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return *m_b;
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}
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inline const_iterator
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end() const
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{
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return *m_e;
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}
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inline iterator
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begin()
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{
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return *m_b;
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}
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inline iterator
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end()
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{
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return *m_e;
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}
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inline bool
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empty() const
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{
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return !m_b || !m_e || (*m_b == *m_e ) ;
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}
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// building the container from a sequence of Point_d*
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Point_container(const int d, iterator begin, iterator end,const Traits& traits_) :
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traits(traits_),m_b(begin), m_e(end), bbox(d, begin, end,traits.construct_cartesian_const_iterator_d_object()), tbox(bbox)
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{
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built_coord = max_span_coord();
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}
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void
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set_range(iterator begin, iterator end)
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{
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m_b = begin;
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m_e = end;
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}
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// building an empty container
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Point_container(const int d,const Traits& traits_) :
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traits(traits_),bbox(d), tbox(d)
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{}
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template <class Traits2>
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struct Cmp {
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typedef typename Traits2::FT FT;
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typedef typename Traits2::Point_d Point_d;
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typedef std::vector<const Point_d*> Point_vector;
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int split_coord;
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FT value;
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const typename Traits2::Construct_cartesian_const_iterator_d& construct_it;
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Cmp(int s, FT c,const typename Traits2::Construct_cartesian_const_iterator_d& cst_it)
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: split_coord(s), value(c), construct_it(cst_it)
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{}
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bool
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operator()(const Point_d* pt) const
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{
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typename Traits2::Cartesian_const_iterator_d ptit;
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ptit = construct_it(*pt);
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return *(ptit+split_coord) < value;
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}
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};
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template <class Traits2>
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struct Between {
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typedef typename Traits2::FT FT;
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typedef typename Traits2::Point_d Point_d;
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typedef std::vector<const Point_d*> Point_vector;
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int split_coord;
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FT low, high;
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const typename Traits2::Construct_cartesian_const_iterator_d& construct_it;
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Between(int s, FT l, FT h,const typename Traits2::Construct_cartesian_const_iterator_d& cst_it)
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: split_coord(s), low(l), high(h), construct_it(cst_it)
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{}
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bool
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operator()(const Point_d* pt) const
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{
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typename Traits2::Cartesian_const_iterator_d ptit;
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ptit = construct_it(*pt);
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if(! ( *(ptit+split_coord) <= high ) ){
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// std::cerr << "Point " << *pt << " exceeds " << high << " in dimension " << split_coord << std::endl;
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return false;
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}
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if(! ( *(ptit+split_coord) >= low ) ){
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//std::cerr << "Point " << *pt << " below " << low << " in dimension " << split_coord << std::endl;
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return false;
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}
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return true;
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}
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};
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void recompute_tight_bounding_box()
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{
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tbox.template update_from_point_pointers<typename Traits::Construct_cartesian_const_iterator_d>(begin(), end(),traits.construct_cartesian_const_iterator_d_object());
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}
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bool
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is_valid() const
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{
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if(empty()) return true;
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bool b = true;
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for (int i = 0; i < dimension(); i++){
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CGAL_assertion( b = (b && (bbox.min_coord(i) <= tbox.min_coord(i))));
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CGAL_assertion( b = (b && (bbox.max_coord(i) >= tbox.max_coord(i))));
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typename Traits::Construct_cartesian_const_iterator_d construct_it=traits.construct_cartesian_const_iterator_d_object();
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Between<Traits> between(i,tbox.min_coord(i), tbox.max_coord(i), construct_it);
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for(const_iterator it = begin(); it != end(); it++){
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b = (b && between(*it));
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}
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}
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return b;
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}
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// note that splitting is restricted to the built coordinate
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template <class Separator>
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void split(Point_container<Traits>& c, Separator& sep,
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bool sliding=false)
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{
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CGAL_assertion(dimension()==c.dimension());
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CGAL_assertion(is_valid());
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c.bbox=bbox;
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const int split_coord = sep.cutting_dimension();
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FT cutting_value = sep.cutting_value();
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built_coord=split_coord;
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c.built_coord=split_coord;
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typename Traits::Construct_cartesian_const_iterator_d construct_it=traits.construct_cartesian_const_iterator_d_object();
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Cmp<Traits> cmp(split_coord, cutting_value,construct_it);
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iterator it = std::partition(begin(), end(), cmp);
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// now [begin,it) are lower and [it,end) are upper
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if (sliding) { // avoid empty lists
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if (it == begin()) {
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iterator minelt = std::min_element(begin(),end(),comp_coord_val<Traits,int>(split_coord,construct_it));
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if(minelt != it){
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std::iter_swap(minelt,it);
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}
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cutting_value = *(construct_it(**it)+split_coord);
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sep.set_cutting_value(cutting_value);
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it++;
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}
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if (it == end()) {
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iterator maxelt = std::max_element(begin(),end(),comp_coord_val<Traits,int>(split_coord,construct_it));
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it--;
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if(maxelt != it){
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std::iter_swap(maxelt,it);
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}
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cutting_value = *(construct_it(**it)+split_coord);
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sep.set_cutting_value(cutting_value);
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}
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}
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c.set_range(begin(), it);
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set_range(it, end());
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// adjusting boxes
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bbox.set_lower_bound(split_coord, cutting_value);
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tbox. template update_from_point_pointers<typename Traits::Construct_cartesian_const_iterator_d>(begin(),end(),construct_it);
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c.bbox.set_upper_bound(split_coord, cutting_value);
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c.tbox. template update_from_point_pointers<typename Traits::Construct_cartesian_const_iterator_d>(c.begin(),c.end(),construct_it);
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CGAL_assertion(is_valid());
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CGAL_assertion(c.is_valid());
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}
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template <class Traits2, class Value>
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struct comp_coord_val {
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private:
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Value coord;
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const typename Traits2::Construct_cartesian_const_iterator_d& construct_it;
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typedef typename Traits2::Point_d Point_d;
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public:
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comp_coord_val (const Value& coordinate,const typename Traits2::Construct_cartesian_const_iterator_d& cst_it)
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: coord(coordinate), construct_it(cst_it)
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{}
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bool
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operator()(const Point_d *a, const Point_d *b) const
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{
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typename Traits2::Cartesian_const_iterator_d ait = construct_it(*a),
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bit = construct_it(*b);
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return *(ait+coord) < *(bit+coord);
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}
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};
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FT
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median(const int split_coord)
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{
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typename Traits::Construct_cartesian_const_iterator_d construct_it=traits.construct_cartesian_const_iterator_d_object();
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iterator mid = begin() + (end() - begin())/2;
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std::nth_element(begin(), mid, end(),comp_coord_val<Traits,int>(split_coord,construct_it));
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typename Traits::Cartesian_const_iterator_d mpit = construct_it((*(*mid)));
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FT val1 = *(mpit+split_coord);
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mid++;
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mpit = construct_it((*(*mid)));
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FT val2 = *(mpit+split_coord);
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return (val1+val2)/FT(2);
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}
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private:
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explicit Point_container()
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{} // disable default constructor
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};
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template <class Point>
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std::ostream&
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operator<< (std::ostream& s, Point_container<Point>& c)
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{
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s << "Points container of size " << c.size() << "\n cell:";
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s << c.bounding_box();
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s << "\n minimal box enclosing points:"; s << c.tight_bounding_box();
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return s;
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}
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} // namespace CGAL
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#endif // CGAL_POINT_CONTAINER_H
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