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// Copyright (c) 2008 INRIA Sophia-Antipolis (France). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Circular_kernel_3/include/CGAL/Circular_kernel_3/Line_arc_3.h $ // $Id: include/CGAL/Circular_kernel_3/Line_arc_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // Author(s) : Monique Teillaud, Sylvain Pion, Pedro Machado, // Sebastien Loriot, Julien Hazebrouck, Damien Leroy // Partially supported by the IST Programme of the EU as a // STREP (FET Open) Project under Contract No IST-006413 // (ACS -- Algorithms for Complex Shapes) #ifndef CGAL_SPHERICAL_KERNEL_LINE_ARC_3_H #define CGAL_SPHERICAL_KERNEL_LINE_ARC_3_H #include #include #include #include namespace CGAL { namespace internal{ template class Line_arc_3 { typedef typename SK::Plane_3 Plane_3; typedef typename SK::Sphere_3 Sphere_3; typedef typename SK::Point_3 Point_3; typedef typename SK::Segment_3 Segment_3; typedef typename SK::Circular_arc_point_3 Circular_arc_point_3; typedef typename SK::Line_3 Line_3; typedef typename SK::FT FT; private: typedef boost::tuple Rep; typedef typename SK::template Handle::type Base; Base base; mutable unsigned char begin_less_xyz_than_end_flag; bool begin_less_xyz_than_end() const { if(begin_less_xyz_than_end_flag == 0) { if(SK().compare_xyz_3_object()(source(), target()) < 0) begin_less_xyz_than_end_flag = 2; else begin_less_xyz_than_end_flag = 1; } return begin_less_xyz_than_end_flag == 2; } public: Line_arc_3() : begin_less_xyz_than_end_flag(0) {} Line_arc_3(const Line_3 &l, const Circular_arc_point_3 &s, const Circular_arc_point_3 &t) : begin_less_xyz_than_end_flag(0) { // l must pass through s and t, and s != t CGAL_kernel_precondition(SK().has_on_3_object()(l,s)); CGAL_kernel_precondition(SK().has_on_3_object()(l,t)); CGAL_kernel_precondition(s != t); base = Rep(l,s,t); } Line_arc_3(const Segment_3 &s) : begin_less_xyz_than_end_flag(0) { base = Rep(s.supporting_line(), s.source(), s.target()); } Line_arc_3(const Point_3 &s, const Point_3 &t) : begin_less_xyz_than_end_flag(0) { CGAL_kernel_precondition(s != t); base = Rep(SK().construct_line_3_object()(s,t),s,t); } Line_arc_3(const Line_3 &l, const Sphere_3 &s, bool less_xyz_first = true) { std::vector::type> sols; SK().intersect_3_object()(l, s, std::back_inserter(sols)); // l must intersect s in 2 points CGAL_kernel_precondition(sols.size() == 2); const std::pair& pair1= *std::get_if >(&sols[0]); const std::pair& pair2= *std::get_if >(&sols[1]); if(less_xyz_first) { *this = Line_arc_3(l, pair1.first, pair2.first); } else { *this = Line_arc_3(l, pair2.first, pair1.first); } } Line_arc_3(const Line_3 &l, const Sphere_3 &s1, bool less_xyz_s1, const Sphere_3 &s2, bool less_xyz_s2) { std::vector::type> sols1, sols2; SK().intersect_3_object()(l, s1, std::back_inserter(sols1)); SK().intersect_3_object()(l, s2, std::back_inserter(sols2)); // l must intersect s1 and s2 CGAL_kernel_precondition(sols1.size() > 0); CGAL_kernel_precondition(sols2.size() > 0); const std::pair& pair1= *std::get_if >(&sols1[(sols1.size()==1)?(0):(less_xyz_s1?0:1)]); const std::pair& pair2= *std::get_if >(&sols2[(sols2.size()==1)?(0):(less_xyz_s2?0:1)]); // the source and target must be different CGAL_kernel_precondition(pair1.first != pair2.first); *this = Line_arc_3(l, pair1.first, pair2.first); } Line_arc_3(const Line_3 &l, const Plane_3 &p1, const Plane_3 &p2) { // l must not be on p1 or p2 CGAL_kernel_precondition(!SK().has_on_3_object()(p1,l)); CGAL_kernel_precondition(!SK().has_on_3_object()(p2,l)); // l must intersect p1 and p2 typedef typename SK3_Intersection_traits::type Intersection; Intersection i1 = SK().intersect_3_object()(l, p1); Intersection i2 = SK().intersect_3_object()(l, p2); const typename SK::Point_3* point1=std::get_if( & *i1 ); const typename SK::Point_3* point2=std::get_if( & *i2 ); CGAL_assertion(point1!=nullptr); CGAL_assertion(point2!=nullptr); // the source and target must be different CGAL_kernel_precondition(*point1 != *point2); *this = Line_arc_3(l, *point1, *point2); } const Line_3& supporting_line() const { return get_pointee_or_identity(base).template get<0>(); } const Circular_arc_point_3& source() const { return get_pointee_or_identity(base).template get<1>(); } const Circular_arc_point_3& target() const { return get_pointee_or_identity(base).template get<2>(); } const Circular_arc_point_3& lower_xyz_extremity() const { return begin_less_xyz_than_end() ? source() : target(); } const Circular_arc_point_3& higher_xyz_extremity() const { return begin_less_xyz_than_end() ? target() : source(); } CGAL::Bbox_3 bbox() const { return source().bbox() + target().bbox(); } bool operator==(const Line_arc_3 &) const; bool operator!=(const Line_arc_3 &) const; }; template < class SK > CGAL_KERNEL_INLINE bool Line_arc_3::operator==(const Line_arc_3 &t) const { if (CGAL::identical(base, t.base)) return true; return CGAL::SphericalFunctors::non_oriented_equal(*this, t); } template < class SK > CGAL_KERNEL_INLINE bool Line_arc_3::operator!=(const Line_arc_3 &t) const { return !(*this == t); } } } #endif