444 lines
12 KiB
C
444 lines
12 KiB
C
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// Copyright (c) 1998-2003 ETH Zurich (Switzerland).
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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) : Michael Hoffmann <hoffmann@inf.ethz.ch>
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#ifndef CGAL_RECTANGULAR_P_CENTER_2_H
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#define CGAL_RECTANGULAR_P_CENTER_2_H 1
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#include <CGAL/license/Bounding_volumes.h>
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#include <CGAL/pierce_rectangles_2.h>
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#include <CGAL/sorted_matrix_search.h>
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#include <CGAL/rectangular_3_center_2.h>
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#include <algorithm>
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#include <CGAL/number_utils_classes.h>
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#include <CGAL/Rectangular_p_center_traits_2.h>
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#include <CGAL/Cartesian_matrix.h>
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namespace CGAL {
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template < class Operation,
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class RandomAccessIC_row,
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class RandomAccessIC_column >
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class Cartesian_matrix_horizontally_flipped
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: public Cartesian_matrix< Operation,
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RandomAccessIC_row,
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RandomAccessIC_column >
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{
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public:
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typedef
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Cartesian_matrix< Operation,
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RandomAccessIC_row,
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RandomAccessIC_column > Base;
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typedef typename Base::Value Value;
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using Base::number_of_rows;
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using Base::number_of_columns;
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/*
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Cartesian_matrix_horizontally_flipped(
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Operation o = Operation())
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: Base( o)
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{}
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*/
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Cartesian_matrix_horizontally_flipped(
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RandomAccessIC_row r_f,
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RandomAccessIC_row r_l,
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RandomAccessIC_column c_f,
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RandomAccessIC_column c_l)
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: Base( r_f, r_l, c_f, c_l)
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{}
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Cartesian_matrix_horizontally_flipped(
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RandomAccessIC_row r_f,
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RandomAccessIC_row r_l,
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RandomAccessIC_column c_f,
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RandomAccessIC_column c_l,
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const Operation& o)
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: Base( r_f, r_l, c_f, c_l, o)
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{}
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Value
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operator()( int r, int c) const
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{
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CGAL_optimisation_precondition( r >= 0 && r < number_of_rows());
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CGAL_optimisation_precondition( c >= 0 && c < number_of_columns());
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return Base::operator()( r, number_of_columns() - 1 - c);
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}
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};
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template < class Operation,
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class RandomAccessIC_row,
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class RandomAccessIC_column >
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inline
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Cartesian_matrix_horizontally_flipped<
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Operation,
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RandomAccessIC_row,
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RandomAccessIC_column >
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cartesian_matrix_horizontally_flipped(
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RandomAccessIC_row r_f,
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RandomAccessIC_row r_l,
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RandomAccessIC_column c_f,
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RandomAccessIC_column c_l,
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const Operation& o)
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{
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return
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Cartesian_matrix_horizontally_flipped<
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Operation,
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RandomAccessIC_row,
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RandomAccessIC_column >
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( r_f, r_l, c_f, c_l, o);
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}
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/*
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template < class ForwardIterator,
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class OutputIterator,
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class FT,
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class PiercingFunction >
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inline
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OutputIterator
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rectangular_p_center_2_binary_search(
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ForwardIterator f,
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ForwardIterator l,
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OutputIterator o,
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FT& r,
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const PiercingFunction& pf)
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{
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return rectangular_p_center_2_binary_search(
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f,
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l,
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o,
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r,
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pf,
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CGAL_reinterpret_cast(
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Rectangular_p_center_matrix_search_traits_2< PiercingFunction >, 0));
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} // rectangular_p_center_2_binary_search( ... )
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template < class ForwardIterator, class OutputIterator, class Traits >
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OutputIterator
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rectangular_p_center_2_binary_search(
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ForwardIterator f,
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ForwardIterator l,
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OutputIterator o,
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typename Traits::FT& r,
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const typename Traits::PiercingFunction& pf,
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Traits*)
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//
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// preconditions:
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// --------------
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// * Traits fulfills the requirements for PCenter traits classes
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// * value type of ForwardIterator is Traits::Point_2
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// * OutputIterator accepts Traits::Point_2 as value type
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// * the range [f,l) is not empty
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//
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// functionality:
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// --------------
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//
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{
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CGAL_optimisation_precondition( f != l);
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// typedefs:
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typedef typename Traits::FT FT;
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typedef typename Traits::X X;
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typedef typename Traits::Y Y;
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// create Traits object:
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Traits pierce_it( f, l, pf);
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// check, if input data is trivial
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bool ok;
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OutputIterator oi = pierce_it(FT(0), o, ok);
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if (ok) {
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r = 0;
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return oi;
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}
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// create vector with absolute coordinate differences:
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std::vector< FT > c_diffs;
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c_diffs.reserve( pierce_it.number_of_points() *
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(pierce_it.number_of_points() - 1));
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for ( ForwardIterator i( f); i != l; ++i)
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for ( ForwardIterator j( i + 1); j != l; ++j) {
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c_diffs.push_back( CGAL_NTS abs( i->x() - j->x()));
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c_diffs.push_back( CGAL_NTS abs( i->y() - j->y()));
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}
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CGAL_optimisation_assertion(
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c_diffs.size() == pierce_it.number_of_points() *
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(pierce_it.number_of_points() - 1));
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// sort it:
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sort( c_diffs.begin(), c_diffs.end());
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// search it:
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int b( 0);
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int e( c_diffs.size());
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// invariant of the following loop:
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// forall 0 <= a < b: c_diffs[a] is infeasible AND
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// forall e <= a < c_diffs.size(): c_diffs[a] is feasible
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while ( e > b) {
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int c = ( e + b) >> 1;
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if ( pierce_it( c_diffs[c])) {
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// c_diffs[c] is feasible
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e = c;
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}
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else {
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// c_diffs[c] is infeasible
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b = c + 1;
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}
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} // while ( e > b)
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CGAL_optimisation_assertion( e == b);
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// return the result:
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r = c_diffs[e];
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OutputIterator o_return( pierce_it( r, o, ok));
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CGAL_optimisation_assertion( ok);
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return o_return;
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} // rectangular_p_center_2_binary_search( ... )
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*/
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template < class RandomAccessIC,
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class OutputIterator,
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class PiercingFunction,
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class Traits,
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class MatrixOperator >
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OutputIterator
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rectangular_p_center_2_matrix_search(
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RandomAccessIC f,
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RandomAccessIC l,
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OutputIterator o,
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typename Traits::FT& r,
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PiercingFunction pf,
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const Traits& t,
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const MatrixOperator& mop)
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{
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std::size_t number_of_points( iterator_distance( f, l));
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CGAL_optimisation_precondition( number_of_points > 0);
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using std::minus;
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using std::sort;
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// typedefs:
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typedef typename Traits::FT FT;
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typedef std::vector< FT > FT_cont;
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typedef typename FT_cont::iterator FT_iterator;
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typedef Cartesian_matrix_horizontally_flipped<
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MatrixOperator,
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FT_iterator,
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FT_iterator >
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Matrix;
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typedef std::vector< Matrix > MatrixContainer;
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typedef
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Rectangular_p_center_matrix_search_traits_2< Traits, PiercingFunction >
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MSTraits;
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typedef Sorted_matrix_search_traits_adaptor< MSTraits&, Matrix >
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Matrix_search_traits;
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// create Traits object:
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MSTraits pierce_it(f, l, t, pf);
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// check, if input data is trivial
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bool ok;
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OutputIterator oi = pierce_it(FT(0), o, ok);
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if (ok) {
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r = 0;
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return oi;
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}
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// create matrix search traits:
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Matrix_search_traits search_it(pierce_it);
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// copy x and y coordinates from [f,l):
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std::vector< FT > x_coords;
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std::vector< FT > y_coords;
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x_coords.reserve( number_of_points);
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y_coords.reserve( number_of_points);
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for ( RandomAccessIC p( f); p != l; ++p) {
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x_coords.push_back(p->x());
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y_coords.push_back(p->y());
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}
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// sort coordinates:
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sort( x_coords.begin(), x_coords.end());
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sort( y_coords.begin(), y_coords.end());
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// create matrices:
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MatrixContainer matrices;
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// create matrix of x-differences:
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matrices.push_back(
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Matrix( x_coords.begin(),
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x_coords.end(),
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x_coords.begin(),
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x_coords.end(),
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mop));
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// create matrix of y-differences:
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matrices.push_back(
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Matrix( y_coords.begin(),
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y_coords.end(),
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y_coords.begin(),
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y_coords.end(),
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mop));
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// do the actual search:
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r = sorted_matrix_search(matrices.begin(),
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matrices.end(),
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search_it);
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// return result:
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OutputIterator o_return(pierce_it(r, o, ok));
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CGAL_optimisation_assertion(ok);
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return o_return;
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} // P_center_matrix_search
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template < class RandomAccessIC,
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class OutputIterator,
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class PiercingFunction,
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class Traits >
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inline
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OutputIterator
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rectangular_p_center_2_matrix_search(
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RandomAccessIC f,
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RandomAccessIC l,
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OutputIterator o,
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typename Traits::FT& r,
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const PiercingFunction& pf,
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const Traits& t)
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{
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typedef typename Traits::FT FT;
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using std::minus;
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return rectangular_p_center_2_matrix_search(
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f,
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l,
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o,
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r,
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pf,
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t,
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boost::bind(Max<FT>(), 0, boost::bind(minus<FT>(), _1, _2)));
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} // Pcenter_matrix_search( ... )
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template < class ForwardIterator, class OutputIterator, class FT >
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inline OutputIterator
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rectangular_p_center_matrix_search_2(
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ForwardIterator f,
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ForwardIterator l,
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OutputIterator o,
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FT& r,
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int p)
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{
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CGAL_optimisation_precondition(p >= 2 && p < 5);
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typename std::iterator_traits<ForwardIterator>::value_type::R t;
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if (p == 2)
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return rectangular_p_center_2_matrix_search(
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f, l, o, r, Two_covering_algorithm(), t);
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else if (p == 3)
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return rectangular_p_center_2_matrix_search(
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f, l, o, r, Three_covering_algorithm(), t);
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return rectangular_p_center_2_matrix_search(
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f, l, o, r, Four_covering_algorithm(), t);
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} // rectangular_p_center_matrix_search_2(f, l, o, r, p)
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namespace internal{
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template <class Iterator>
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bool is_distance_greater_than_p
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( Iterator begin,Iterator end,
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typename std::iterator_traits<Iterator>::difference_type p,
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std::random_access_iterator_tag)
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{
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return std::distance(begin,end) > p;
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}
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template <class Iterator>
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bool is_distance_greater_than_p
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( Iterator begin,Iterator end,
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typename std::iterator_traits<Iterator>::difference_type p,
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std::forward_iterator_tag)
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{
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Iterator it=begin;
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while(p!=0){
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if (it==end) return false;
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++it;
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--p;
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}
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if (it!=end) return true;
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return false;
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}
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|
||
|
|
template <class Iterator>
|
||
|
|
bool is_distance_greater_than_p
|
||
|
|
(Iterator begin,Iterator end,
|
||
|
|
typename std::iterator_traits<Iterator>::difference_type p)
|
||
|
|
{
|
||
|
|
return
|
||
|
|
is_distance_greater_than_p(begin,end,p,
|
||
|
|
typename std::iterator_traits<Iterator>::iterator_category());
|
||
|
|
}
|
||
|
|
|
||
|
|
} //namespace internal
|
||
|
|
|
||
|
|
template < class ForwardIterator, class OutputIterator, class Traits >
|
||
|
|
inline OutputIterator
|
||
|
|
rectangular_p_center_2(ForwardIterator f,
|
||
|
|
ForwardIterator l,
|
||
|
|
OutputIterator o,
|
||
|
|
typename Traits::FT& r,
|
||
|
|
int p,
|
||
|
|
Traits& t)
|
||
|
|
{
|
||
|
|
CGAL_optimisation_precondition(p >= 2 && p < 5);
|
||
|
|
r=0;
|
||
|
|
if ( !internal::is_distance_greater_than_p(f,l,p) ) return std::copy(f,l,o);
|
||
|
|
|
||
|
|
if (p == 2)
|
||
|
|
return rectangular_2_center_2(f, l, o, r, t);
|
||
|
|
else if (p == 3)
|
||
|
|
return rectangular_3_center_2(f, l, o, r, t);
|
||
|
|
return rectangular_p_center_2_matrix_search(
|
||
|
|
f, l, o, r, Four_covering_algorithm(), t);
|
||
|
|
|
||
|
|
} // rectangular_p_center_2( ... )
|
||
|
|
|
||
|
|
template < class ForwardIterator, class OutputIterator, class FT >
|
||
|
|
inline OutputIterator
|
||
|
|
rectangular_p_center_2(ForwardIterator f,
|
||
|
|
ForwardIterator l,
|
||
|
|
OutputIterator o,
|
||
|
|
FT& r,
|
||
|
|
int p)
|
||
|
|
{
|
||
|
|
CGAL_optimisation_precondition(p >= 2 && p < 5);
|
||
|
|
typedef typename
|
||
|
|
std::iterator_traits< ForwardIterator >::value_type::R R;
|
||
|
|
Rectangular_p_center_default_traits_2< R > t;
|
||
|
|
|
||
|
|
return rectangular_p_center_2(f, l, o, r, p, t);
|
||
|
|
} // rectangular_p_center_2( ... )
|
||
|
|
|
||
|
|
} //namespace CGAL
|
||
|
|
|
||
|
|
#endif // ! (CGAL_RECTANGULAR_P_CENTER_2_H)
|