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// Copyright (c) 2000, 2006 ETH Zurich (Switzerland). // All rights reserved. // // This file is part of CGAL (www.cgal.org). // // $URL: https://github.com/CGAL/cgal/blob/v6.1/Polyhedron/include/CGAL/polyhedron_cut_plane_3.h $ // $Id: include/CGAL/polyhedron_cut_plane_3.h b26b07a1242 $ // SPDX-License-Identifier: GPL-3.0-or-later OR LicenseRef-Commercial // // // Author(s) : Lutz Kettner ) // Cuts a connected piece off a Polyhedral Surfaces. #ifndef CGAL_POLYHEDRON_CUT_PLANE_3_H #define CGAL_POLYHEDRON_CUT_PLANE_3_H 1 #include #include #include #include #include #include #include namespace CGAL { // Auxiliary classes and functions to make polyhedron_cut_plane_3 work. // See below for the implementations of polyhedron_cut_plane_3. template < class HDS, class Predicate> class Polyhedron_cut_component_3 : public Modifier_base { public: typedef typename HDS::Halfedge_handle Halfedge_handle; private: Halfedge_handle h; Predicate pred; public: Polyhedron_cut_component_3( Halfedge_handle hh, const Predicate& p) : h(hh), pred(p) {} void operator()( HDS& target) { h = halfedgeDS_cut_component( target, h, pred); } Halfedge_handle halfedge() const { return h; } }; template < class Poly, class Predicate > typename Poly::Halfedge_handle I_polyhedron_cut_component( Poly& poly, typename Poly::Halfedge_handle h, Predicate pred) { typedef typename Poly::HalfedgeDS HDS; typedef Polyhedron_cut_component_3 Modifier; Modifier modifier( h, pred); poly.delegate( modifier); return modifier.halfedge(); } template < class Poly, class Plane, class Traits> class I_Polyhedron_cut_plane_predicate { const Plane& plane; const Traits& traits; public: typedef typename Poly::Vertex_const_handle Vertex_const_handle; I_Polyhedron_cut_plane_predicate( const Plane& pl, const Traits& tr) : plane(pl), traits(tr) {} bool operator()( Vertex_const_handle v) const { return traits.has_on_negative_side_3_object()( plane, v->point()); } }; template struct I_Construct_point_3 { typedef typename Kernel::Point_3 Point_3; typedef typename Kernel::Plane_3 Plane_3; typedef typename Kernel::Line_3 Line_3; Point_3 operator()( const Plane_3& p, const Plane_3& q, const Plane_3& r) const { Object obj = intersection( p, q); Line_3 line; if ( assign( line, obj)) { obj = intersection( r, line); Point_3 pt; if ( assign( pt, obj)) { return pt; } } std::cerr << "ERROR: coplanar planes used for computing " "intersecting point." << std::endl; std::cerr << " Return ORIGIN. Don't trust result." << std::endl; return ORIGIN; } }; template < class Poly, class Plane, class Traits> typename Poly::Halfedge_handle polyhedron_cut_plane_3( Poly& poly, typename Poly::Halfedge_handle h, const Plane& plane, const Traits& traits) // Cuts the polyhedron `poly' at plane `plane' starting at halfedge `h'. // Traces the intersection curve of `plane' with `poly' starting at `h', // cuts `poly' along that intersection curve and deletes the (connected) // component on the negative side of the plane. The hole created along // the intersection curve is filled with a new face containing the plane // and the points in the vertices are computed. { typedef typename Poly::Halfedge_handle Halfedge_handle; typedef I_Polyhedron_cut_plane_predicate< Poly, Plane, Traits> Predicate; typedef I_Construct_point_3< Traits> Construct_point; Predicate pred( plane, traits); Construct_point construct_point; // replace this with kernel one day. CGAL_precondition( poly.is_valid()); CGAL_precondition( pred( h->vertex())); CGAL_precondition( ! pred( h->opposite()->vertex())); h = I_polyhedron_cut_component( poly, h, pred); // Assign geometry h->facet()->plane() = plane; Halfedge_handle start = h; do { h->vertex()->point() = construct_point( plane, h->next()->opposite()->facet()->plane(), h->opposite()->facet()->plane()); h = h->next(); } while ( h != start); CGAL_postcondition( poly.is_valid()); return h; } template < class Poly, class Plane> typename Poly::Halfedge_handle polyhedron_cut_plane_3( Poly& poly, typename Poly::Halfedge_handle h, const Plane& plane) // Same function as above using the kernel that comes with the plane. { typedef CGAL::Kernel_traits KTraits; typedef typename KTraits::Kernel Kernel; return polyhedron_cut_plane_3( poly, h, plane, Kernel()); } } //namespace CGAL #include #endif // CGAL_POLYHEDRON_CUT_PLANE_3_H // // EOF //