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authorCarlo Zancanaro <carlo@pc-4w14-0.cs.usyd.edu.au>2012-07-10 13:44:21 +1000
committerCarlo Zancanaro <carlo@pc-4w14-0.cs.usyd.edu.au>2012-07-10 13:44:21 +1000
commitef4a319984d22b88a9024ff523700d657621124d (patch)
tree2821db78ccd6ce61ca64ad6fc98ba825b060ca6a /lemon/test/bellman_ford_test.cc
parentd3f13fdd23e17a8f4bb4083c24fee331a28351eb (diff)
Add the LEMON graph library source to the repo
I'll likely be using it, so this just makes it easier to get to from elsewhere. If I end up not using it then I can just delete it.
Diffstat (limited to 'lemon/test/bellman_ford_test.cc')
-rw-r--r--lemon/test/bellman_ford_test.cc285
1 files changed, 285 insertions, 0 deletions
diff --git a/lemon/test/bellman_ford_test.cc b/lemon/test/bellman_ford_test.cc
new file mode 100644
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+++ b/lemon/test/bellman_ford_test.cc
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+/* -*- mode: C++; indent-tabs-mode: nil; -*-
+ *
+ * This file is a part of LEMON, a generic C++ optimization library.
+ *
+ * Copyright (C) 2003-2010
+ * 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/bellman_ford.h>
+#include <lemon/path.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"
+ " length\n"
+ "0 1 3\n"
+ "1 2 -3\n"
+ "1 2 -5\n"
+ "1 3 -2\n"
+ "0 2 -1\n"
+ "1 2 -4\n"
+ "0 3 2\n"
+ "4 2 -5\n"
+ "2 3 1\n"
+ "@attributes\n"
+ "source 0\n"
+ "target 3\n";
+
+
+void checkBellmanFordCompile()
+{
+ typedef int Value;
+ typedef concepts::Digraph Digraph;
+ typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap;
+ typedef BellmanFord<Digraph, LengthMap> BF;
+ typedef Digraph::Node Node;
+ typedef Digraph::Arc Arc;
+
+ Digraph gr;
+ Node s, t, n;
+ Arc e;
+ Value l;
+ int k=3;
+ bool b;
+ BF::DistMap d(gr);
+ BF::PredMap p(gr);
+ LengthMap length;
+ concepts::Path<Digraph> pp;
+
+ {
+ BF bf_test(gr,length);
+ const BF& const_bf_test = bf_test;
+
+ bf_test.run(s);
+ bf_test.run(s,k);
+
+ bf_test.init();
+ bf_test.addSource(s);
+ bf_test.addSource(s, 1);
+ b = bf_test.processNextRound();
+ b = bf_test.processNextWeakRound();
+
+ bf_test.start();
+ bf_test.checkedStart();
+ bf_test.limitedStart(k);
+
+ l = const_bf_test.dist(t);
+ e = const_bf_test.predArc(t);
+ s = const_bf_test.predNode(t);
+ b = const_bf_test.reached(t);
+ d = const_bf_test.distMap();
+ p = const_bf_test.predMap();
+ pp = const_bf_test.path(t);
+ pp = const_bf_test.negativeCycle();
+
+ for (BF::ActiveIt it(const_bf_test); it != INVALID; ++it) {}
+ }
+ {
+ BF::SetPredMap<concepts::ReadWriteMap<Node,Arc> >
+ ::SetDistMap<concepts::ReadWriteMap<Node,Value> >
+ ::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> >
+ ::Create bf_test(gr,length);
+
+ LengthMap length_map;
+ concepts::ReadWriteMap<Node,Arc> pred_map;
+ concepts::ReadWriteMap<Node,Value> dist_map;
+
+ bf_test
+ .lengthMap(length_map)
+ .predMap(pred_map)
+ .distMap(dist_map);
+
+ bf_test.run(s);
+ bf_test.run(s,k);
+
+ bf_test.init();
+ bf_test.addSource(s);
+ bf_test.addSource(s, 1);
+ b = bf_test.processNextRound();
+ b = bf_test.processNextWeakRound();
+
+ bf_test.start();
+ bf_test.checkedStart();
+ bf_test.limitedStart(k);
+
+ l = bf_test.dist(t);
+ e = bf_test.predArc(t);
+ s = bf_test.predNode(t);
+ b = bf_test.reached(t);
+ pp = bf_test.path(t);
+ pp = bf_test.negativeCycle();
+ }
+}
+
+void checkBellmanFordFunctionCompile()
+{
+ typedef int Value;
+ typedef concepts::Digraph Digraph;
+ typedef Digraph::Arc Arc;
+ typedef Digraph::Node Node;
+ typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap;
+
+ Digraph g;
+ bool b;
+ bellmanFord(g,LengthMap()).run(Node());
+ b = bellmanFord(g,LengthMap()).run(Node(),Node());
+ bellmanFord(g,LengthMap())
+ .predMap(concepts::ReadWriteMap<Node,Arc>())
+ .distMap(concepts::ReadWriteMap<Node,Value>())
+ .run(Node());
+ b=bellmanFord(g,LengthMap())
+ .predMap(concepts::ReadWriteMap<Node,Arc>())
+ .distMap(concepts::ReadWriteMap<Node,Value>())
+ .path(concepts::Path<Digraph>())
+ .dist(Value())
+ .run(Node(),Node());
+}
+
+
+template <typename Digraph, typename Value>
+void checkBellmanFord() {
+ TEMPLATE_DIGRAPH_TYPEDEFS(Digraph);
+ typedef typename Digraph::template ArcMap<Value> LengthMap;
+
+ Digraph gr;
+ Node s, t;
+ LengthMap length(gr);
+
+ std::istringstream input(test_lgf);
+ digraphReader(gr, input).
+ arcMap("length", length).
+ node("source", s).
+ node("target", t).
+ run();
+
+ BellmanFord<Digraph, LengthMap>
+ bf(gr, length);
+ bf.run(s);
+ Path<Digraph> p = bf.path(t);
+
+ check(bf.reached(t) && bf.dist(t) == -1, "Bellman-Ford found a wrong path.");
+ check(p.length() == 3, "path() found a wrong path.");
+ check(checkPath(gr, p), "path() found a wrong path.");
+ check(pathSource(gr, p) == s, "path() found a wrong path.");
+ check(pathTarget(gr, p) == t, "path() found a wrong path.");
+
+ ListPath<Digraph> path;
+ Value dist;
+ bool reached = bellmanFord(gr,length).path(path).dist(dist).run(s,t);
+
+ check(reached && dist == -1, "Bellman-Ford found a wrong path.");
+ check(path.length() == 3, "path() found a wrong path.");
+ check(checkPath(gr, path), "path() found a wrong path.");
+ check(pathSource(gr, path) == s, "path() found a wrong path.");
+ check(pathTarget(gr, path) == t, "path() found a wrong path.");
+
+ for(ArcIt e(gr); e!=INVALID; ++e) {
+ Node u=gr.source(e);
+ Node v=gr.target(e);
+ check(!bf.reached(u) || (bf.dist(v) - bf.dist(u) <= length[e]),
+ "Wrong output. dist(target)-dist(source)-arc_length=" <<
+ bf.dist(v) - bf.dist(u) - length[e]);
+ }
+
+ for(NodeIt v(gr); v!=INVALID; ++v) {
+ if (bf.reached(v)) {
+ check(v==s || bf.predArc(v)!=INVALID, "Wrong tree.");
+ if (bf.predArc(v)!=INVALID ) {
+ Arc e=bf.predArc(v);
+ Node u=gr.source(e);
+ check(u==bf.predNode(v),"Wrong tree.");
+ check(bf.dist(v) - bf.dist(u) == length[e],
+ "Wrong distance! Difference: " <<
+ bf.dist(v) - bf.dist(u) - length[e]);
+ }
+ }
+ }
+}
+
+void checkBellmanFordNegativeCycle() {
+ DIGRAPH_TYPEDEFS(SmartDigraph);
+
+ SmartDigraph gr;
+ IntArcMap length(gr);
+
+ Node n1 = gr.addNode();
+ Node n2 = gr.addNode();
+ Node n3 = gr.addNode();
+ Node n4 = gr.addNode();
+
+ Arc a1 = gr.addArc(n1, n2);
+ Arc a2 = gr.addArc(n2, n2);
+
+ length[a1] = 2;
+ length[a2] = -1;
+
+ {
+ BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
+ bf.run(n1);
+ StaticPath<SmartDigraph> p = bf.negativeCycle();
+ check(p.length() == 1 && p.front() == p.back() && p.front() == a2,
+ "Wrong negative cycle.");
+ }
+
+ length[a2] = 0;
+
+ {
+ BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
+ bf.run(n1);
+ check(bf.negativeCycle().empty(),
+ "Negative cycle should not be found.");
+ }
+
+ length[gr.addArc(n1, n3)] = 5;
+ length[gr.addArc(n4, n3)] = 1;
+ length[gr.addArc(n2, n4)] = 2;
+ length[gr.addArc(n3, n2)] = -4;
+
+ {
+ BellmanFord<SmartDigraph, IntArcMap> bf(gr, length);
+ bf.init();
+ bf.addSource(n1);
+ for (int i = 0; i < 4; ++i) {
+ check(bf.negativeCycle().empty(),
+ "Negative cycle should not be found.");
+ bf.processNextRound();
+ }
+ StaticPath<SmartDigraph> p = bf.negativeCycle();
+ check(p.length() == 3, "Wrong negative cycle.");
+ check(length[p.nth(0)] + length[p.nth(1)] + length[p.nth(2)] == -1,
+ "Wrong negative cycle.");
+ }
+}
+
+int main() {
+ checkBellmanFord<ListDigraph, int>();
+ checkBellmanFord<SmartDigraph, double>();
+ checkBellmanFordNegativeCycle();
+ return 0;
+}