1 // This file is part of libigl, a simple c++ geometry processing library.
2 //
3 // Copyright (C) 2016 Alec Jacobson <alecjacobson@gmail.com>
4 //
5 // This Source Code Form is subject to the terms of the Mozilla Public License
6 // v. 2.0. If a copy of the MPL was not distributed with this file, You can
7 // obtain one at http://mozilla.org/MPL/2.0/.
8 #include <igl/dijkstra.h>
9 
10 template <typename IndexType, typename DerivedD, typename DerivedP>
dijkstra_compute_paths(const IndexType & source,const std::set<IndexType> & targets,const std::vector<std::vector<IndexType>> & VV,Eigen::PlainObjectBase<DerivedD> & min_distance,Eigen::PlainObjectBase<DerivedP> & previous)11 IGL_INLINE int igl::dijkstra_compute_paths(const IndexType &source,
12                                            const std::set<IndexType> &targets,
13                                            const std::vector<std::vector<IndexType> >& VV,
14                                            Eigen::PlainObjectBase<DerivedD> &min_distance,
15                                            Eigen::PlainObjectBase<DerivedP> &previous)
16 {
17   int numV = VV.size();
18   min_distance.setConstant(numV, 1, std::numeric_limits<typename DerivedD::Scalar>::infinity());
19   min_distance[source] = 0;
20   previous.setConstant(numV, 1, -1);
21   std::set<std::pair<typename DerivedD::Scalar, IndexType> > vertex_queue;
22   vertex_queue.insert(std::make_pair(min_distance[source], source));
23 
24   while (!vertex_queue.empty())
25   {
26     typename DerivedD::Scalar dist = vertex_queue.begin()->first;
27     IndexType u = vertex_queue.begin()->second;
28     vertex_queue.erase(vertex_queue.begin());
29 
30     if (targets.find(u)!= targets.end())
31       return u;
32 
33     // Visit each edge exiting u
34     const std::vector<int> &neighbors = VV[u];
35     for (std::vector<int>::const_iterator neighbor_iter = neighbors.begin();
36          neighbor_iter != neighbors.end();
37          neighbor_iter++)
38     {
39       IndexType v = *neighbor_iter;
40       typename DerivedD::Scalar distance_through_u = dist + 1.;
41       if (distance_through_u < min_distance[v]) {
42         vertex_queue.erase(std::make_pair(min_distance[v], v));
43 
44         min_distance[v] = distance_through_u;
45         previous[v] = u;
46         vertex_queue.insert(std::make_pair(min_distance[v], v));
47 
48       }
49 
50     }
51   }
52   //we should never get here
53   return -1;
54 }
55 
56 template <typename IndexType, typename DerivedP>
dijkstra_get_shortest_path_to(const IndexType & vertex,const Eigen::PlainObjectBase<DerivedP> & previous,std::vector<IndexType> & path)57 IGL_INLINE void igl::dijkstra_get_shortest_path_to(const IndexType &vertex,
58                                                    const Eigen::PlainObjectBase<DerivedP> &previous,
59                                                    std::vector<IndexType> &path)
60 {
61   IndexType source = vertex;
62   path.clear();
63   for ( ; source != -1; source = previous[source])
64     path.push_back(source);
65 }
66 
67 #ifdef IGL_STATIC_LIBRARY
68 // Explicit template instantiation
69 template int igl::dijkstra_compute_paths<int, Eigen::Matrix<double, -1, 1, 0, -1, 1>, Eigen::Matrix<int, -1, 1, 0, -1, 1> >(int const&, std::set<int, std::less<int>, std::allocator<int> > const&, std::vector<std::vector<int, std::allocator<int> >, std::allocator<std::vector<int, std::allocator<int> > > > const&, Eigen::PlainObjectBase<Eigen::Matrix<double, -1, 1, 0, -1, 1> >&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> >&);
70 template void igl::dijkstra_get_shortest_path_to<int, Eigen::Matrix<int, -1, 1, 0, -1, 1> >(int const&, Eigen::PlainObjectBase<Eigen::Matrix<int, -1, 1, 0, -1, 1> > const&, std::vector<int, std::allocator<int> >&);
71 #endif
72