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// Copyright (c) 1999 Max-Planck-Institute Saarbruecken (Germany). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Convex_hull_2/include/CGAL/Convex_hull_2/ch_graham_andrew_impl.h $ // $Id: include/CGAL/Convex_hull_2/ch_graham_andrew_impl.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Stefan Schirra #ifndef CGAL_CH_GRAHAM_ANDREW_C #define CGAL_CH_GRAHAM_ANDREW_C #include #ifndef CGAL_CH_NO_POSTCONDITIONS #include #endif // CGAL_CH_NO_POSTCONDITIONS #include #include #include #include #include namespace CGAL { template OutputIterator ch_graham_andrew_scan( BidirectionalIterator first, BidirectionalIterator last, OutputIterator result, const Traits& ch_traits) { typedef typename Traits::Left_turn_2 Left_turn; std::vector< BidirectionalIterator > S; BidirectionalIterator alpha; BidirectionalIterator beta; BidirectionalIterator iter; CGAL_precondition( first != last ); CGAL_precondition( std::next(first) != last ); --last; CGAL_precondition( *first != *last ); S.push_back( last ); S.push_back( first ); Left_turn left_turn = ch_traits.left_turn_2_object(); iter = first; do { ++iter; } while (( iter != last ) && !left_turn(*last, *first, *iter) ); if ( iter != last ) { S.push_back( iter ); typedef typename std::vector::reverse_iterator rev_iterator; rev_iterator stack_rev_iter = S.rbegin(); alpha = iter; beta = *++stack_rev_iter; for ( ++iter ; iter != last; ++iter ) { if ( left_turn(*alpha, *iter, *last) ) { while ( !left_turn(*beta, *alpha, *iter) ) { S.pop_back(); alpha = beta; stack_rev_iter = S.rbegin(); beta = *++stack_rev_iter; CGAL_assertion(S.size() >= 2); } S.push_back( iter ); beta = alpha; alpha = iter; } } } typedef typename std::vector< BidirectionalIterator >::iterator std_iterator; std_iterator stack_iter = S.begin(); #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) OutputIterator res(result); #else typedef typename Traits::Point_2 Point_2; Tee_for_output_iterator res(result); #endif // no postconditions ... for ( ++stack_iter; stack_iter != S.end(); ++stack_iter) { *res = **stack_iter; ++res; } CGAL_postcondition( \ is_ccw_strongly_convex_2( res.output_so_far_begin(), \ res.output_so_far_end(), \ ch_traits)); CGAL_expensive_postcondition( \ ch_brute_force_chain_check_2( \ first, last, \ res.output_so_far_begin(), res.output_so_far_end(), \ ch_traits)); #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) return res; #else return res.to_output_iterator(); #endif // no postconditions ... } template OutputIterator ch__ref_graham_andrew_scan( BidirectionalIterator first, BidirectionalIterator last, OutputIterator& result, const Traits& ch_traits) { typedef typename Traits::Left_turn_2 Left_turn; CGAL_precondition_code( typedef typename Traits::Equal_2 Equal_2; Equal_2 equal_points = ch_traits.equal_2_object(); ) Left_turn left_turn = ch_traits.left_turn_2_object(); std::vector< BidirectionalIterator > S; BidirectionalIterator alpha; BidirectionalIterator beta; BidirectionalIterator iter; CGAL_precondition( first != last ); CGAL_precondition( std::next(first) != last ); --last; CGAL_precondition(! equal_points(*first,*last) ); S.push_back( last ); S.push_back( first ); iter = first; do { ++iter; } while (( iter != last ) && !left_turn(*last, *first, *iter) ); if ( iter != last ) { S.push_back( iter ); typedef typename std::vector::reverse_iterator rev_iterator; rev_iterator stack_rev_iter = S.rbegin(); alpha = iter; beta = *++stack_rev_iter; for ( ++iter ; iter != last; ++iter ) { if ( left_turn(*alpha, *iter, *last) ) { while ( !left_turn(*beta, *alpha, *iter) ) { S.pop_back(); alpha = beta; stack_rev_iter = S.rbegin(); beta = *++stack_rev_iter; CGAL_assertion(S.size() >= 2); } S.push_back( iter ); beta = alpha; alpha = iter; } } } typedef typename std::vector< BidirectionalIterator >::iterator std_iterator; std_iterator stack_iter = S.begin(); for ( ++stack_iter; stack_iter != S.end(); ++stack_iter) { *result = **stack_iter; ++result; } return result; } template OutputIterator ch_graham_andrew( InputIterator first, InputIterator last, OutputIterator result, const Traits& ch_traits) { typedef typename Traits::Point_2 Point_2; typedef typename Traits::Equal_2 Equal_2; Equal_2 equal_points = ch_traits.equal_2_object(); if (first == last) return result; std::vector< Point_2 > V (first, last); std::sort( V.begin(), V.end(), ch_traits.less_xy_2_object() ); if (equal_points( *(V.begin()), *(V.rbegin())) ) { *result++ = *(V.begin()); return result; } #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) OutputIterator res(result); #else Tee_for_output_iterator res(result); #endif // no postconditions ... ch__ref_graham_andrew_scan( V.begin(), V.end(), res, ch_traits); ch__ref_graham_andrew_scan( V.rbegin(), V.rend(), res, ch_traits); CGAL_postcondition( \ is_ccw_strongly_convex_2( res.output_so_far_begin(), \ res.output_so_far_end(), \ ch_traits)); CGAL_expensive_postcondition( \ ch_brute_force_check_2( \ V.begin(), V.end(), \ res.output_so_far_begin(), res.output_so_far_end(), \ ch_traits)); #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) return res; #else return res.to_output_iterator(); #endif // no postconditions ... } template OutputIterator ch_lower_hull_scan( InputIterator first, InputIterator last, OutputIterator result, const Traits& ch_traits) { typedef typename Traits::Point_2 Point_2; typedef typename Traits::Equal_2 Equal_2; Equal_2 equal_points = ch_traits.equal_2_object(); if (first == last) return result; std::vector< Point_2 > V (first, last); std::sort( V.begin(), V.end(), ch_traits.less_xy_2_object() ); if (equal_points( *(V.begin()), *(V.rbegin())) ) { *result++ = *(V.begin()); return result; } #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) OutputIterator res(result); #else Tee_for_output_iterator res(result); #endif // no postconditions ... ch_graham_andrew_scan( V.begin(), V.end(), res, ch_traits); #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) return res; #else return res.to_output_iterator(); #endif // no postconditions ... } template OutputIterator ch_upper_hull_scan( InputIterator first, InputIterator last, OutputIterator result, const Traits& ch_traits) { typedef typename Traits::Point_2 Point_2; typedef typename Traits::Equal_2 Equal_2; Equal_2 equal_points = ch_traits.equal_2_object(); if (first == last) return result; std::vector< Point_2 > V (first, last); std::sort( V.begin(), V.end(), ch_traits.less_xy_2_object() ); if (equal_points( *(V.begin()), *(V.rbegin())) ) { return result; } #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) OutputIterator res(result); #else Tee_for_output_iterator res(result); #endif // no postconditions ... ch_graham_andrew_scan( V.rbegin(), V.rend(), res, ch_traits); #if defined(CGAL_CH_NO_POSTCONDITIONS) || defined(CGAL_NO_POSTCONDITIONS) return res; #else return res.to_output_iterator(); #endif // no postconditions ... } } //namespace CGAL #endif // CGAL_CH_GRAHAM_ANDREW_C