| 1 | /* -*- C++ -*- |
| 2 | * |
| 3 | * This file is a part of LEMON, a generic C++ optimization library |
| 4 | * |
| 5 | * Copyright (C) 2003-2008 |
| 6 | * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | * |
| 9 | * Permission to use, modify and distribute this software is granted |
| 10 | * provided that this copyright notice appears in all copies. For |
| 11 | * precise terms see the accompanying LICENSE file. |
| 12 | * |
| 13 | * This software is provided "AS IS" with no warranty of any kind, |
| 14 | * express or implied, and with no claim as to its suitability for any |
| 15 | * purpose. |
| 16 | * |
| 17 | */ |
| 18 | |
| 19 | ///\ingroup demos |
| 20 | ///\file |
| 21 | ///\brief Demonstrating the Dfs class with topological ordering |
| 22 | /// |
| 23 | /// This demo file shows an example for topological ordering of a |
| 24 | /// directed acyclic graph (DAG) using \ref lemon::Dfs Dfs algorithm. |
| 25 | /// |
| 26 | ///\include topological_ordering.cc |
| 27 | |
| 28 | #include <iostream> |
| 29 | #include <string> |
| 30 | #include <vector> |
| 31 | #include <lemon/list_graph.h> |
| 32 | #include <lemon/graph_utils.h> |
| 33 | #include <lemon/maps.h> |
| 34 | #include <lemon/dfs.h> |
| 35 | |
| 36 | using namespace lemon; |
| 37 | |
| 38 | int main() |
| 39 | { |
| 40 | std::cout << "Topological Ordering Demo" << std::endl; |
| 41 | |
| 42 | // Create and build an acyclic digraph (DAG) |
| 43 | ListDigraph gr; |
| 44 | ListDigraph::NodeMap<std::string> label(gr); |
| 45 | typedef ListDigraph::Node Node; |
| 46 | |
| 47 | // This DAG example for topological ordering is from the book |
| 48 | // New Algorithms (T. H. Cormen, C. E. Leiserson, R. L. Rivest, C. Stein) |
| 49 | { |
| 50 | // Create nodes |
| 51 | Node belt = gr.addNode(); |
| 52 | Node trousers = gr.addNode(); |
| 53 | Node necktie = gr.addNode(); |
| 54 | Node coat = gr.addNode(); |
| 55 | Node socks = gr.addNode(); |
| 56 | Node shirt = gr.addNode(); |
| 57 | Node shoe = gr.addNode(); |
| 58 | Node watch = gr.addNode(); |
| 59 | Node pants = gr.addNode(); |
| 60 | |
| 61 | // Set node labels |
| 62 | label[belt] = "Belt"; |
| 63 | label[trousers] = "Trousers"; |
| 64 | label[necktie] = "Necktie"; |
| 65 | label[coat] = "Coat"; |
| 66 | label[socks] = "Socks"; |
| 67 | label[shirt] = "Shirt"; |
| 68 | label[shoe] = "Shoe"; |
| 69 | label[watch] = "Watch"; |
| 70 | label[pants] = "Pants"; |
| 71 | |
| 72 | // Create directed arcs that indicate precedence |
| 73 | // (the source must precede the target) |
| 74 | gr.addArc(socks, shoe); |
| 75 | gr.addArc(pants, shoe); |
| 76 | gr.addArc(pants, trousers); |
| 77 | gr.addArc(trousers, shoe); |
| 78 | gr.addArc(trousers, belt); |
| 79 | gr.addArc(belt, coat); |
| 80 | gr.addArc(shirt, belt); |
| 81 | gr.addArc(shirt, necktie); |
| 82 | gr.addArc(necktie, coat); |
| 83 | } |
| 84 | |
| 85 | // Run Dfs algorithm and store the nodes in the processing order |
| 86 | // using LoggerBoolMap |
| 87 | typedef LoggerBoolMap< std::vector<Node>::iterator > StoreMap; |
| 88 | std::vector<Node> v(countNodes(gr)); |
| 89 | StoreMap map(v.begin()); |
| 90 | Dfs<ListDigraph>::DefProcessedMap<StoreMap>::Create dfs(gr); |
| 91 | dfs.processedMap(map).run(); |
| 92 | |
| 93 | // Print the nodes of the vector in reverse order, which gives a |
| 94 | // topological ordering |
| 95 | std::cout << "A possible order to dress up:"; |
| 96 | for(int i = v.size()-1; i >= 0; --i) |
| 97 | std::cout << " " << label[v[i]]; |
| 98 | std::cout << std::endl; |
| 99 | |
| 100 | return 0; |
| 101 | } |