Location: LEMON/LEMON-main/test/dijkstra_test.cc - annotation
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Use XTI implementation instead of ATI in NetworkSimplex (#234)
XTI (eXtended Threaded Index) is an imporved version of the widely
known ATI (Augmented Threaded Index) method for storing and updating
the spanning tree structure in Network Simplex algorithms.
In the ATI data structure three indices are stored for each node:
predecessor, thread and depth. In the XTI data structure depth is
replaced by the number of successors and the last successor
(according to the thread index).
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*
* This file is a part of LEMON, a generic C++ optimization library.
*
* Copyright (C) 2003-2009
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
* (Egervary Research Group on Combinatorial Optimization, EGRES).
*
* Permission to use, modify and distribute this software is granted
* provided that this copyright notice appears in all copies. For
* precise terms see the accompanying LICENSE file.
*
* This software is provided "AS IS" with no warranty of any kind,
* express or implied, and with no claim as to its suitability for any
* purpose.
*
*/
#include <lemon/concepts/digraph.h>
#include <lemon/smart_graph.h>
#include <lemon/list_graph.h>
#include <lemon/lgf_reader.h>
#include <lemon/dijkstra.h>
#include <lemon/path.h>
#include <lemon/bin_heap.h>
#include "graph_test.h"
#include "test_tools.h"
using namespace lemon;
char test_lgf[] =
"@nodes\n"
"label\n"
"0\n"
"1\n"
"2\n"
"3\n"
"4\n"
"@arcs\n"
" label length\n"
"0 1 0 1\n"
"1 2 1 1\n"
"2 3 2 1\n"
"0 3 4 5\n"
"0 3 5 10\n"
"0 3 6 7\n"
"4 2 7 1\n"
"@attributes\n"
"source 0\n"
"target 3\n";
void checkDijkstraCompile()
{
typedef int VType;
typedef concepts::Digraph Digraph;
typedef concepts::ReadMap<Digraph::Arc,VType> LengthMap;
typedef Dijkstra<Digraph, LengthMap> DType;
typedef Digraph::Node Node;
typedef Digraph::Arc Arc;
Digraph G;
Node s, t;
Arc e;
VType l;
bool b;
DType::DistMap d(G);
DType::PredMap p(G);
LengthMap length;
Path<Digraph> pp;
{
DType dijkstra_test(G,length);
dijkstra_test.run(s);
dijkstra_test.run(s,t);
l = dijkstra_test.dist(t);
e = dijkstra_test.predArc(t);
s = dijkstra_test.predNode(t);
b = dijkstra_test.reached(t);
d = dijkstra_test.distMap();
p = dijkstra_test.predMap();
pp = dijkstra_test.path(t);
}
{
DType
::SetPredMap<concepts::ReadWriteMap<Node,Arc> >
::SetDistMap<concepts::ReadWriteMap<Node,VType> >
::SetProcessedMap<concepts::WriteMap<Node,bool> >
::SetStandardProcessedMap
::SetOperationTraits<DijkstraDefaultOperationTraits<VType> >
::SetHeap<BinHeap<VType, concepts::ReadWriteMap<Node,int> > >
::SetStandardHeap<BinHeap<VType, concepts::ReadWriteMap<Node,int> > >
::Create dijkstra_test(G,length);
dijkstra_test.run(s);
dijkstra_test.run(s,t);
l = dijkstra_test.dist(t);
e = dijkstra_test.predArc(t);
s = dijkstra_test.predNode(t);
b = dijkstra_test.reached(t);
pp = dijkstra_test.path(t);
}
}
void checkDijkstraFunctionCompile()
{
typedef int VType;
typedef concepts::Digraph Digraph;
typedef Digraph::Arc Arc;
typedef Digraph::Node Node;
typedef concepts::ReadMap<Digraph::Arc,VType> LengthMap;
Digraph g;
bool b;
dijkstra(g,LengthMap()).run(Node());
b=dijkstra(g,LengthMap()).run(Node(),Node());
dijkstra(g,LengthMap())
.predMap(concepts::ReadWriteMap<Node,Arc>())
.distMap(concepts::ReadWriteMap<Node,VType>())
.processedMap(concepts::WriteMap<Node,bool>())
.run(Node());
b=dijkstra(g,LengthMap())
.predMap(concepts::ReadWriteMap<Node,Arc>())
.distMap(concepts::ReadWriteMap<Node,VType>())
.processedMap(concepts::WriteMap<Node,bool>())
.path(concepts::Path<Digraph>())
.dist(VType())
.run(Node(),Node());
}
template <class Digraph>
void checkDijkstra() {
TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
typedef typename Digraph::template ArcMap<int> LengthMap;
Digraph G;
Node s, t;
LengthMap length(G);
std::istringstream input(test_lgf);
digraphReader(G, input).
arcMap("length", length).
node("source", s).
node("target", t).
run();
Dijkstra<Digraph, LengthMap>
dijkstra_test(G, length);
dijkstra_test.run(s);
check(dijkstra_test.dist(t)==3,"Dijkstra found a wrong path.");
Path<Digraph> p = dijkstra_test.path(t);
check(p.length()==3,"path() found a wrong path.");
check(checkPath(G, p),"path() found a wrong path.");
check(pathSource(G, p) == s,"path() found a wrong path.");
check(pathTarget(G, p) == t,"path() found a wrong path.");
for(ArcIt e(G); e!=INVALID; ++e) {
Node u=G.source(e);
Node v=G.target(e);
check( !dijkstra_test.reached(u) ||
(dijkstra_test.dist(v) - dijkstra_test.dist(u) <= length[e]),
"Wrong output. dist(target)-dist(source)-arc_length=" <<
dijkstra_test.dist(v) - dijkstra_test.dist(u) - length[e]);
}
for(NodeIt v(G); v!=INVALID; ++v) {
if (dijkstra_test.reached(v)) {
check(v==s || dijkstra_test.predArc(v)!=INVALID, "Wrong tree.");
if (dijkstra_test.predArc(v)!=INVALID ) {
Arc e=dijkstra_test.predArc(v);
Node u=G.source(e);
check(u==dijkstra_test.predNode(v),"Wrong tree.");
check(dijkstra_test.dist(v) - dijkstra_test.dist(u) == length[e],
"Wrong distance! Difference: " <<
std::abs(dijkstra_test.dist(v)-dijkstra_test.dist(u)-length[e]));
}
}
}
{
NullMap<Node,Arc> myPredMap;
dijkstra(G,length).predMap(myPredMap).run(s);
}
}
int main() {
checkDijkstra<ListDigraph>();
checkDijkstra<SmartDigraph>();
return 0;
}
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