diff -r c35afa9e89e7 -r ef88c0a30f85 test/bellman_ford_test.cc --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/test/bellman_ford_test.cc Thu Nov 05 15:48:01 2009 +0100 @@ -0,0 +1,285 @@ +/* -*- mode: C++; indent-tabs-mode: nil; -*- + * + * 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 +#include +#include +#include +#include +#include + +#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 LengthMap; + typedef BellmanFord BF; + typedef Digraph::Node Node; + typedef Digraph::Arc Arc; + + Digraph gr; + Node s, t, n; + Arc e; + Value l; + int k; + bool b; + BF::DistMap d(gr); + BF::PredMap p(gr); + LengthMap length; + concepts::Path 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 > + ::SetDistMap > + ::SetOperationTraits > + ::Create bf_test(gr,length); + + LengthMap length_map; + concepts::ReadWriteMap pred_map; + concepts::ReadWriteMap 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 LengthMap; + + Digraph g; + bool b; + bellmanFord(g,LengthMap()).run(Node()); + b = bellmanFord(g,LengthMap()).run(Node(),Node()); + bellmanFord(g,LengthMap()) + .predMap(concepts::ReadWriteMap()) + .distMap(concepts::ReadWriteMap()) + .run(Node()); + b=bellmanFord(g,LengthMap()) + .predMap(concepts::ReadWriteMap()) + .distMap(concepts::ReadWriteMap()) + .path(concepts::Path()) + .dist(Value()) + .run(Node(),Node()); +} + + +template +void checkBellmanFord() { + TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); + typedef typename Digraph::template ArcMap 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 + bf(gr, length); + bf.run(s); + Path 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 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 bf(gr, length); + bf.run(n1); + StaticPath p = bf.negativeCycle(); + check(p.length() == 1 && p.front() == p.back() && p.front() == a2, + "Wrong negative cycle."); + } + + length[a2] = 0; + + { + BellmanFord 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 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 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(); + checkBellmanFord(); + checkBellmanFordNegativeCycle(); + return 0; +}