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// Copyright (c) 1997-2002 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/Nef_3/include/CGAL/Nef_3/SNC_intersection.h $ // $Id: include/CGAL/Nef_3/SNC_intersection.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Michael Seel // Peter Hachenberger #ifndef CGAL_SNC_INTERSECTION_H #define CGAL_SNC_INTERSECTION_H #include #include #include #undef CGAL_NEF_DEBUG #define CGAL_NEF_DEBUG 37 #include namespace CGAL { template < class Node, class Object> struct Project_shalfedge_point { typedef Node argument_type; typedef Object result_type; Object& operator()( Node& x) const { return x.source()->source()->point(); /* a Point_3& reference must be returned by D.point() */ } const Object& operator()( const Node& x) const { return x.source()->source()->point(); /* a Point_3& reference must be returned by D.point() */ } }; template class SNC_intersection { typedef SNC_structure_ SNC_structure; typedef SNC_intersection Self; typedef typename SNC_structure::SHalfedge SHalfedge; typedef typename SNC_structure::Halfedge_handle Halfedge_handle; typedef typename SNC_structure::Halffacet_const_handle Halffacet_const_handle; typedef typename SNC_structure::SHalfedge_const_handle SHalfedge_const_handle; typedef typename SNC_structure::SHalfloop_const_handle SHalfloop_const_handle; typedef typename SNC_structure::SHalfedge_around_facet_const_circulator SHalfedge_around_facet_const_circulator; typedef typename SNC_structure::Halffacet_cycle_const_iterator Halffacet_cycle_const_iterator; typedef typename SNC_structure::Point_3 Point_3; typedef typename SNC_structure::Vector_3 Vector_3; typedef typename SNC_structure::Segment_3 Segment_3; typedef typename SNC_structure::Line_3 Line_3; typedef typename SNC_structure::Ray_3 Ray_3; typedef typename SNC_structure::Plane_3 Plane_3; public: static bool does_contain_internally(const Point_3& s, const Point_3& t, const Point_3& p) { return are_strictly_ordered_along_line (s, p, t); } static bool does_contain_internally(Halffacet_const_handle f, const Point_3& p) { if(!f->plane().has_on(p)) return false; return point_in_facet_interior( p, f); } static bool does_intersect_internally(const Segment_3& s1, const Segment_3& s2, Point_3& p) { if(s2.has_on(s1.target())) return false; Ray_3 r(s1.source(), s1.target()); if(!does_intersect_internally(r, s2, p)) return false; Plane_3 pl(s1.target(), r.to_vector()); return (pl.oriented_side(p) == CGAL::NEGATIVE); } static bool does_intersect_internally(const Ray_3& s1, const Segment_3& s2, Point_3& p) { if (!coplanar( s1.source(), s1.point(1), s2.source(), s2.target())) // the segments doesn't define a plane return false; if ( s1.has_on(s2.source()) || s1.has_on(s2.target()) || s2.has_on(s1.source())) // the segments does intersect at one endpoint return false; Line_3 ls1(s1), ls2(s2); if ( ls1.direction() == ls2.direction() || ls1.direction() == -ls2.direction() ) // the segments are parallel return false; Vector_3 vs1(s1.to_vector()), vs2(s2.to_vector()), vt(cross_product( vs1, vs2)), ws1(cross_product( vt, vs1)); Plane_3 hs1( s1.source(), ws1); Object o = intersection(hs1, ls2); CGAL_assertion(CGAL::assign( p, o)); // since line(s1) and line(s2) are not parallel they intersects in only // one point CGAL::assign( p ,o); Plane_3 pl(s1.source(), vs1); if(pl.oriented_side(p) != CGAL::POSITIVE) return false; pl = Plane_3(s2.source(), vs2); if(pl.oriented_side(p) != CGAL::POSITIVE) return false; pl = Plane_3(s2.target(), vs2); return (pl.oriented_side(p) == CGAL::NEGATIVE); } static bool does_intersect_internally(const Ray_3& ray, Halffacet_const_handle f, Point_3& p) { CGAL_NEF_TRACEN("-> Intersection facet - ray"); Plane_3 h( f->plane()); CGAL_NEF_TRACEN("-> facet's plane: " << h); CGAL_NEF_TRACEN("-> a point on the plane: " << h.point()); CGAL_NEF_TRACEN("-> ray: " << ray); CGAL_assertion(!ray.is_degenerate()); if(h.has_on(ray.source())) return false; Object o = intersection( h, ray); if( !CGAL::assign( p, o)) return false; CGAL_NEF_TRACEN( "-> intersection point: " << p ); // CGAL_NEF_TRACEN( "-> point in facet interior? "< Intersection facet - segment"); Plane_3 h( f->plane()); CGAL_NEF_TRACEN("-> facet's plane: " << h); CGAL_NEF_TRACEN("-> a point on the plane: " << h.point()); CGAL_NEF_TRACEN("-> segment: " << seg); CGAL_assertion(!seg.is_degenerate()); if( h.has_on( seg.source()) || h.has_on(seg.target())) /* no possible internal intersection */ return false; Object o = intersection( h, seg); if( !CGAL::assign( p, o)) return false; CGAL_NEF_TRACEN( "-> intersection point: " << p ); // CGAL_NEF_TRACEN( "-> point in facet interior? "<plane()); typedef Project_shalfedge_point < SHalfedge, const Point_3> Project; typedef Circulator_project < SHalfedge_around_facet_const_circulator, Project, const Point_3&, const Point_3*> Circulator; typedef Container_from_circulator Container; Plane_3 h(f->plane()); CGAL_assertion(h.has_on(p)); Halffacet_cycle_const_iterator fc = f->facet_cycles_begin(); Bounded_side outer_bound_pos(CGAL::ON_BOUNDARY); if (fc.is_shalfedge() ) { SHalfedge_const_handle se(fc); SHalfedge_around_facet_const_circulator hfc(se); Circulator c(hfc); Container ct(c); CGAL_assertion( !is_empty_range(ct.begin(), ct.end())); outer_bound_pos = bounded_side_3(ct.begin(), ct.end(), p, h); } else CGAL_error_msg( "is facet first cycle a SHalfloop?"); if( outer_bound_pos != CGAL::ON_BOUNDED_SIDE ) return outer_bound_pos; /* The point p is not in the relative interior of the outer face cycle so it is not necessary to know the position of p with respect to the inner face cycles */ Halffacet_cycle_const_iterator fe = f->facet_cycles_end(); ++fc; if( fc == fe ) return outer_bound_pos; Bounded_side inner_bound_pos(CGAL::ON_BOUNDARY); CGAL_For_all(fc, fe) { if (fc.is_shalfloop() ) { SHalfloop_const_handle l(fc); if(l->incident_sface()->center_vertex()->point() == p ) inner_bound_pos = CGAL::ON_BOUNDARY; else inner_bound_pos = CGAL::ON_UNBOUNDED_SIDE; } else if (fc.is_shalfedge() ) { SHalfedge_const_handle se(fc); SHalfedge_around_facet_const_circulator hfc(se); Circulator c(hfc); Container ct(c); CGAL_assertion( !is_empty_range(ct.begin(), ct.end())); inner_bound_pos = bounded_side_3( ct.begin(), ct.end(), p, h.opposite()); } else CGAL_error_msg( "Damn wrong handle."); if( inner_bound_pos != CGAL::ON_UNBOUNDED_SIDE ) return opposite(inner_bound_pos); /* At this point the point p belongs to relative interior of the facet's outer cycle, and its position is completely known when it belongs to the clousure of any inner cycle */ } return CGAL::ON_BOUNDED_SIDE; } }; // SNC_intersection } //namespace CGAL #endif //CGAL_SNC_INTERSECTION_H