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// Copyright (c) 2006-2008 Fernando Luis Cacciola Carballal. All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Straight_skeleton_2/include/CGAL/compute_outer_frame_margin.h $ // $Id: include/CGAL/compute_outer_frame_margin.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Fernando Cacciola // #ifndef CGAL_COMPUTE_OUTER_FRAME_MARGIN_H #define CGAL_COMPUTE_OUTER_FRAME_MARGIN_H #include #include #include #include #include #include #include namespace CGAL { template std::optional< typename Traits::FT > compute_outer_frame_margin ( ForwardPointIterator aBegin , ForwardPointIterator aEnd , WeightIterator aWBegin , WeightIterator CGAL_assertion_code(aWEnd) , typename Traits::FT aOffset , Traits const& aTraits ) { typedef typename Traits::Kernel Kernel ; typedef typename Traits::FT FT ; typedef typename Traits::Point_2 Point_2 ; typedef typename Traits::Segment_2 Segment_2 ; typedef typename Traits::Trisegment_2_ptr Trisegment_2_ptr ; Kernel kernel ; typename Kernel::Equal_2 equal = kernel.equal_2_object(); typename Kernel::Collinear_2 collinear = kernel.collinear_2_object(); typename Kernel::Compute_squared_distance_2 squared_distance = kernel.compute_squared_distance_2_object(); typename Kernel::Construct_segment_2 construct_segment = kernel.construct_segment_2_object(); typedef std::optional OptionalPoint_2 ; CGAL_STSKEL_BUILDER_TRACE(2, "Computing outer frame margin..." ); FT lMaxSDist(0) ; WeightIterator lWIt = aWBegin ; ForwardPointIterator lLast = std::prev(aEnd) ; bool lOverflow = false ; for ( ForwardPointIterator lCurr = aBegin ; lCurr != aEnd ; ++ lCurr, ++ lWIt ) { CGAL_assertion(lWIt != aWEnd); ForwardPointIterator lPrev = ( lCurr == aBegin ? lLast : std::prev (lCurr) ) ; ForwardPointIterator lNext = ( lCurr == lLast ? aBegin : std::next (lCurr) ) ; if ( !equal(*lPrev,*lCurr) && !equal(*lCurr,*lNext) && !collinear(*lPrev,*lCurr,*lNext) ) { Segment_2 lLEdge = construct_segment(*lPrev,*lCurr); Segment_2 lREdge = construct_segment(*lCurr,*lNext); WeightIterator lNextWeight = ( lCurr == lLast ? aWBegin : std::next(lWIt) ) ; OptionalPoint_2 lP = aTraits.construct_offset_point_2_object()(aOffset,lLEdge,*lWIt,lREdge,*lNextWeight, Trisegment_2_ptr() ); if ( !lP ) { lOverflow = true ; break ; } FT lSDist = squared_distance(*lCurr,*lP); if ( ! CGAL_NTS is_valid ( lSDist ) || ! CGAL_NTS is_finite( lSDist ) ) { lOverflow = true ; break ; } if ( lSDist > lMaxSDist ) lMaxSDist = lSDist ; } } if ( ! lOverflow ) { FT lDist = CGAL_SS_i::inexact_sqrt(lMaxSDist) ; double approx = ceil( to_interval(lDist + ( aOffset * FT(1.05) ) ).second ); // Add a %5 gap, and ceil to get simpler values CGAL_STSKEL_BUILDER_TRACE(4, "outer frame margin: " << approx ); return std::optional ( approx ) ; } return std::nullopt; } // `Traits` first is to help overload resolution in the 3-argument version (see below) template std::optional< typename Traits::FT > compute_outer_frame_margin ( ForwardPointIterator aBegin , ForwardPointIterator aEnd , typename Traits::FT aOffset , Traits const& aTraits ) { typedef typename Traits::FT FT ; std::vector aUWeights(std::distance(aBegin,aEnd), FT(1)) ; return compute_outer_frame_margin(aBegin,aEnd,aUWeights.begin(),aUWeights.end(),aOffset,aTraits) ; } template std::optional compute_outer_frame_margin(ForwardPointIterator aBegin, ForwardPointIterator aEnd, WeightIterator aWBegin, WeightIterator aWEnd, const FT aOffset) { typedef typename std::iterator_traits::value_type Point_2 ; typedef typename Kernel_traits::Kernel K; Polygon_offset_builder_traits_2 traits ; return compute_outer_frame_margin(aBegin,aEnd,aWBegin,aWEnd,aOffset,traits); } template std::optional compute_outer_frame_margin(ForwardPointIterator aBegin, ForwardPointIterator aEnd, const FT aOffset) { typedef typename std::iterator_traits::value_type Point_2 ; typedef typename Kernel_traits::Kernel K; typedef Polygon_offset_builder_traits_2 Builder_traits; Builder_traits traits ; return compute_outer_frame_margin(aBegin,aEnd,aOffset,traits); } } // namespace CGAL #endif // CGAL_COMPUTE_OUTER_FRAME_MARGIN_H