test/dijkstra_test.cc
author Peter Kovacs <kpeter@inf.elte.hu>
Thu, 12 Nov 2009 23:26:13 +0100
changeset 872 fa6f37d7a25b
parent 463 88ed40ad0d4f
child 956 141f9c0db4a3
child 1081 f1398882a928
child 1171 7e368d9b67f7
permissions -rw-r--r--
Entirely rework CapacityScaling (#180)

- Use the new interface similarly to NetworkSimplex.
- Rework the implementation using an efficient internal structure
for handling the residual network. This improvement made the
code much faster (up to 2-5 times faster on large graphs).
- Handle GEQ supply type (LEQ is not supported).
- Handle negative costs for arcs of finite capacity.
(Note that this algorithm cannot handle arcs of negative cost
and infinite upper bound, thus it returns UNBOUNDED if such
an arc exists.)
- Extend the documentation.
     1 /* -*- mode: C++; indent-tabs-mode: nil; -*-
     2  *
     3  * This file is a part of LEMON, a generic C++ optimization library.
     4  *
     5  * Copyright (C) 2003-2009
     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 #include <lemon/concepts/digraph.h>
    20 #include <lemon/smart_graph.h>
    21 #include <lemon/list_graph.h>
    22 #include <lemon/lgf_reader.h>
    23 #include <lemon/dijkstra.h>
    24 #include <lemon/path.h>
    25 #include <lemon/bin_heap.h>
    26 
    27 #include "graph_test.h"
    28 #include "test_tools.h"
    29 
    30 using namespace lemon;
    31 
    32 char test_lgf[] =
    33   "@nodes\n"
    34   "label\n"
    35   "0\n"
    36   "1\n"
    37   "2\n"
    38   "3\n"
    39   "4\n"
    40   "@arcs\n"
    41   "     label length\n"
    42   "0 1  0     1\n"
    43   "1 2  1     1\n"
    44   "2 3  2     1\n"
    45   "0 3  4     5\n"
    46   "0 3  5     10\n"
    47   "0 3  6     7\n"
    48   "4 2  7     1\n"
    49   "@attributes\n"
    50   "source 0\n"
    51   "target 3\n";
    52 
    53 void checkDijkstraCompile()
    54 {
    55   typedef int VType;
    56   typedef concepts::Digraph Digraph;
    57   typedef concepts::ReadMap<Digraph::Arc,VType> LengthMap;
    58   typedef Dijkstra<Digraph, LengthMap> DType;
    59   typedef Digraph::Node Node;
    60   typedef Digraph::Arc Arc;
    61 
    62   Digraph G;
    63   Node s, t, n;
    64   Arc e;
    65   VType l;
    66   int i;
    67   bool b;
    68   DType::DistMap d(G);
    69   DType::PredMap p(G);
    70   LengthMap length;
    71   Path<Digraph> pp;
    72   concepts::ReadMap<Node,bool> nm;
    73 
    74   {
    75     DType dijkstra_test(G,length);
    76     const DType& const_dijkstra_test = dijkstra_test;
    77 
    78     dijkstra_test.run(s);
    79     dijkstra_test.run(s,t);
    80 
    81     dijkstra_test.init();
    82     dijkstra_test.addSource(s);
    83     dijkstra_test.addSource(s, 1);
    84     n = dijkstra_test.processNextNode();
    85     n = const_dijkstra_test.nextNode();
    86     b = const_dijkstra_test.emptyQueue();
    87     i = const_dijkstra_test.queueSize();
    88     
    89     dijkstra_test.start();
    90     dijkstra_test.start(t);
    91     dijkstra_test.start(nm);
    92 
    93     l  = const_dijkstra_test.dist(t);
    94     e  = const_dijkstra_test.predArc(t);
    95     s  = const_dijkstra_test.predNode(t);
    96     b  = const_dijkstra_test.reached(t);
    97     b  = const_dijkstra_test.processed(t);
    98     d  = const_dijkstra_test.distMap();
    99     p  = const_dijkstra_test.predMap();
   100     pp = const_dijkstra_test.path(t);
   101     l  = const_dijkstra_test.currentDist(t);
   102   }
   103   {
   104     DType
   105       ::SetPredMap<concepts::ReadWriteMap<Node,Arc> >
   106       ::SetDistMap<concepts::ReadWriteMap<Node,VType> >
   107       ::SetStandardProcessedMap
   108       ::SetProcessedMap<concepts::WriteMap<Node,bool> >
   109       ::SetOperationTraits<DijkstraDefaultOperationTraits<VType> >
   110       ::SetHeap<BinHeap<VType, concepts::ReadWriteMap<Node,int> > >
   111       ::SetStandardHeap<BinHeap<VType, concepts::ReadWriteMap<Node,int> > >
   112       ::SetHeap<BinHeap<VType, concepts::ReadWriteMap<Node,int> >, 
   113                 concepts::ReadWriteMap<Node,int> >
   114       ::Create dijkstra_test(G,length);
   115 
   116     LengthMap length_map;
   117     concepts::ReadWriteMap<Node,Arc> pred_map;
   118     concepts::ReadWriteMap<Node,VType> dist_map;
   119     concepts::WriteMap<Node,bool> processed_map;
   120     concepts::ReadWriteMap<Node,int> heap_cross_ref;
   121     BinHeap<VType, concepts::ReadWriteMap<Node,int> > heap(heap_cross_ref);
   122     
   123     dijkstra_test
   124       .lengthMap(length_map)
   125       .predMap(pred_map)
   126       .distMap(dist_map)
   127       .processedMap(processed_map)
   128       .heap(heap, heap_cross_ref);
   129 
   130     dijkstra_test.run(s);
   131     dijkstra_test.run(s,t);
   132 
   133     dijkstra_test.addSource(s);
   134     dijkstra_test.addSource(s, 1);
   135     n = dijkstra_test.processNextNode();
   136     n = dijkstra_test.nextNode();
   137     b = dijkstra_test.emptyQueue();
   138     i = dijkstra_test.queueSize();
   139     
   140     dijkstra_test.start();
   141     dijkstra_test.start(t);
   142     dijkstra_test.start(nm);
   143 
   144     l  = dijkstra_test.dist(t);
   145     e  = dijkstra_test.predArc(t);
   146     s  = dijkstra_test.predNode(t);
   147     b  = dijkstra_test.reached(t);
   148     b  = dijkstra_test.processed(t);
   149     pp = dijkstra_test.path(t);
   150     l  = dijkstra_test.currentDist(t);
   151   }
   152 
   153 }
   154 
   155 void checkDijkstraFunctionCompile()
   156 {
   157   typedef int VType;
   158   typedef concepts::Digraph Digraph;
   159   typedef Digraph::Arc Arc;
   160   typedef Digraph::Node Node;
   161   typedef concepts::ReadMap<Digraph::Arc,VType> LengthMap;
   162 
   163   Digraph g;
   164   bool b;
   165   dijkstra(g,LengthMap()).run(Node());
   166   b=dijkstra(g,LengthMap()).run(Node(),Node());
   167   dijkstra(g,LengthMap())
   168     .predMap(concepts::ReadWriteMap<Node,Arc>())
   169     .distMap(concepts::ReadWriteMap<Node,VType>())
   170     .processedMap(concepts::WriteMap<Node,bool>())
   171     .run(Node());
   172   b=dijkstra(g,LengthMap())
   173     .predMap(concepts::ReadWriteMap<Node,Arc>())
   174     .distMap(concepts::ReadWriteMap<Node,VType>())
   175     .processedMap(concepts::WriteMap<Node,bool>())
   176     .path(concepts::Path<Digraph>())
   177     .dist(VType())
   178     .run(Node(),Node());
   179 }
   180 
   181 template <class Digraph>
   182 void checkDijkstra() {
   183   TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
   184   typedef typename Digraph::template ArcMap<int> LengthMap;
   185 
   186   Digraph G;
   187   Node s, t;
   188   LengthMap length(G);
   189 
   190   std::istringstream input(test_lgf);
   191   digraphReader(G, input).
   192     arcMap("length", length).
   193     node("source", s).
   194     node("target", t).
   195     run();
   196 
   197   Dijkstra<Digraph, LengthMap>
   198         dijkstra_test(G, length);
   199   dijkstra_test.run(s);
   200 
   201   check(dijkstra_test.dist(t)==3,"Dijkstra found a wrong path.");
   202 
   203   Path<Digraph> p = dijkstra_test.path(t);
   204   check(p.length()==3,"path() found a wrong path.");
   205   check(checkPath(G, p),"path() found a wrong path.");
   206   check(pathSource(G, p) == s,"path() found a wrong path.");
   207   check(pathTarget(G, p) == t,"path() found a wrong path.");
   208 
   209   for(ArcIt e(G); e!=INVALID; ++e) {
   210     Node u=G.source(e);
   211     Node v=G.target(e);
   212     check( !dijkstra_test.reached(u) ||
   213            (dijkstra_test.dist(v) - dijkstra_test.dist(u) <= length[e]),
   214            "Wrong output. dist(target)-dist(source)-arc_length=" <<
   215            dijkstra_test.dist(v) - dijkstra_test.dist(u) - length[e]);
   216   }
   217 
   218   for(NodeIt v(G); v!=INVALID; ++v) {
   219     if (dijkstra_test.reached(v)) {
   220       check(v==s || dijkstra_test.predArc(v)!=INVALID, "Wrong tree.");
   221       if (dijkstra_test.predArc(v)!=INVALID ) {
   222         Arc e=dijkstra_test.predArc(v);
   223         Node u=G.source(e);
   224         check(u==dijkstra_test.predNode(v),"Wrong tree.");
   225         check(dijkstra_test.dist(v) - dijkstra_test.dist(u) == length[e],
   226               "Wrong distance! Difference: " <<
   227               std::abs(dijkstra_test.dist(v)-dijkstra_test.dist(u)-length[e]));
   228       }
   229     }
   230   }
   231 
   232   {
   233     NullMap<Node,Arc> myPredMap;
   234     dijkstra(G,length).predMap(myPredMap).run(s);
   235   }
   236 }
   237 
   238 int main() {
   239   checkDijkstra<ListDigraph>();
   240   checkDijkstra<SmartDigraph>();
   241   return 0;
   242 }