mirror of https://github.com/CGAL/cgal
WIP: try to do plane/tet intersection. I think the edge indexing is wrong
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@ -32,101 +32,169 @@ template <class K>
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typename Intersection_traits<K, typename K::Tetrahedron_3, typename K::Plane_3>::result_type
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intersection(
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const typename K::Tetrahedron_3 &tet,
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const typename K::Plane_3 &pl,
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const K&)
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const typename K::Plane_3 &plane,
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const K& k)
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{
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typedef typename Intersection_traits<K,
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typename K::Tetrahedron_3,
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typename K::Plane_3>::result_type result_type;
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typedef typename K::Point_3 Point_3;
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typedef typename Intersection_traits<K, typename K::Tetrahedron_3, typename K::Plane_3>::result_type result_type;
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typename K::Oriented_side_3 oriented_side = k.oriented_side_3_object();
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typedef typename Intersection_traits<K,
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typename K::Triangle_3,
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typename K::Plane_3>::result_type Inter_type;
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std::vector<Point_3> corners(4);
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corners.reserve(8); // 4 corners + up to 4 polygon points
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corners[0] = tet[0];
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corners[1] = tet[1];
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corners[2] = tet[2];
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corners[3] = tet[3];
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typedef typename K::Segment_3 Segment_3;
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Inter_type intersections[4];
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int p_id = -1;
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std::vector<typename K::Point_3> points;
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std::vector<Segment_3> segments;
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for(int i = 0; i < 4; ++i)
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const std::array<CGAL::Oriented_side, 4> orientations { {
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oriented_side(plane, corners[0]),
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oriented_side(plane, corners[1]),
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oriented_side(plane, corners[2]),
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oriented_side(plane, corners[3])
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} };
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// description of faces of the bbox
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constexpr std::array<int, 12> face_indices
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{ { 0, 1, 2,
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0, 1, 3,
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1, 2, 3,
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2, 0, 3 } };
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constexpr std::array<int, 12> edge_indices
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{ { 0, 1, 2,
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0, 3, 5,
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1, 4, 3,
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2, 5, 4 } };
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std::array<int, 12> edge_ipt_id;
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edge_ipt_id.fill(-1);
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auto inter_pt_index =
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[&plane, &corners, &edge_ipt_id](int i, int j, int edge_id)
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{
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const typename K::Triangle_3 triangle(tet.vertex((i+1)%4),
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tet.vertex((i+2)%4),
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tet.vertex((i+3)%4));
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intersections[i] = typename K::Intersect_3()(pl, triangle);
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if(intersections[i]){
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if(const typename K::Triangle_3* tr = boost::get<typename K::Triangle_3>(&*intersections[i]))
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if (edge_ipt_id[edge_id]==-1)
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{
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edge_ipt_id[edge_id] = static_cast<int> (corners.size());
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corners.push_back(typename K::Construct_plane_line_intersection_point_3()
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(plane, corners[i], corners[j]));
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}
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return edge_ipt_id[edge_id];
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};
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bool all_in = true;
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bool all_out = true;
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std::vector<std::array<int,2>> neighbor_ids(8, {-1,-1});
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auto add_neighbor = [&neighbor_ids](int i, int j)
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{
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if (neighbor_ids[i][0] == -1 ) {
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neighbor_ids[i][0] = j;
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}
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else {
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if (neighbor_ids[i][0]!=j && neighbor_ids[i][1]==-1)
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{
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typename K::Triangle_3 res = *tr;
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return result_type(std::forward<typename K::Triangle_3>(res));
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}
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else if( const Segment_3* s
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= boost::get<Segment_3>(&*intersections[i]))
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{
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segments.push_back(*s);
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}
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else if( const typename K::Point_3* p
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= boost::get<typename K::Point_3>(&*intersections[i]))
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{
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points.push_back(*p);
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p_id = i;
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neighbor_ids[i][1] = j;
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}
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}
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}
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CGAL_assertion(segments.size() != 1);
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};
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switch(segments.size())
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int start_id = -1;
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int solo_id = -1;
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// for each face of the bbox, we look for intersection of the plane with its edges
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std::vector<int> ids;
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for (int i = 0; i < 4; ++i)
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{
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case 0:
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{
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if(p_id == -1)
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return result_type();
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else
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ids.clear();
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for (int k = 0; k < 3; ++k)
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{
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typename K::Point_3 p
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= *boost::get<typename K::Point_3>(&*intersections[p_id]);
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return result_type(std::forward<typename K::Point_3>(p));
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int current_id = face_indices[3 * i + k];
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int next_id = face_indices[3 * i + (k + 1) % 3];
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int edge_id = edge_indices[3 * i + k];
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switch (orientations[current_id])
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{
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case ON_NEGATIVE_SIDE:
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{
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all_out = false;
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// check for intersection of the edge
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if (orientations[next_id] == ON_POSITIVE_SIDE)
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{
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ids.push_back(
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inter_pt_index(current_id, next_id, edge_id));
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}
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break;
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}
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case ON_POSITIVE_SIDE:
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{
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all_in = false;
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// check for intersection of the edge
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if (orientations[next_id] == ON_NEGATIVE_SIDE)
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{
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ids.push_back(inter_pt_index(current_id, next_id, edge_id));
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}
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break;
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}
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case ON_ORIENTED_BOUNDARY:
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{
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all_in = all_out = false;
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ids.push_back(current_id);
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}
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}
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}
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}
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break;
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case 2:
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{
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return result_type(std::forward<typename K::Segment_3>(segments.back()));
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}
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break;
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default:
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{
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std::set<typename K::Point_3> all_points;
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for (const auto& s : segments)
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switch (ids.size())
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{
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all_points.insert(s.source());
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all_points.insert(s.target());
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}
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if(all_points.size() == 3)
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{
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auto p_it = all_points.begin();
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++p_it;
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typename K::Point_3 mid_point = *p_it;
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++p_it;
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typename K::Triangle_3 result(*all_points.begin(), mid_point, *p_it );
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return result_type(std::forward<typename K::Triangle_3>(result));
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}
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else //size = 4
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{
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std::list<Segment_3> segs(segments.begin(), segments.end());
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std::list<typename K::Point_3> tmp;
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fill_points_list(segs, tmp);
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std::vector<typename K::Point_3> res;
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for( const auto& p : tmp)
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res.push_back(p);
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return result_type(std::forward<std::vector<typename K::Point_3> >(res));
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case 3:
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{
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std::vector<Point_3> res({ corners[ids[0]],
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corners[ids[1]],
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corners[ids[2]] });
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return result_type(res);
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}
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case 2:
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{
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if (start_id == -1) start_id = ids[0];
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add_neighbor(ids[0], ids[1]);
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add_neighbor(ids[1], ids[0]);
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break;
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}
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case 1:
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solo_id = ids[0];
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default:
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break;
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}
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}
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break;
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}
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CGAL_assertion(false);
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return result_type();
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if (all_in || all_out) return boost::none;
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if (start_id == -1) return { result_type(corners[solo_id]) };
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int prv_id = -1;
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int cur_id = start_id;
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std::vector<Point_3> res;
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res.reserve(4);
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do {
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res.push_back(corners[cur_id]);
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int nxt_id = neighbor_ids[cur_id][0] == prv_id
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? neighbor_ids[cur_id][1]
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: neighbor_ids[cur_id][0];
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if (nxt_id == -1 || nxt_id == start_id){
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if(res.size() == 2){
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typename K::Segment_3 seg(res[0], res[1]);
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return result_type(seg);
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}
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if(res.size() == 3){
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typename K::Triangle_3 tr(res[0], res[1], res[2]);
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return result_type(tr);
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}
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return result_type(res);
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}
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prv_id = cur_id;
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cur_id = nxt_id;
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} while (true);
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}
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template <class K>
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