Location: LEMON/LEMON-official/test/gomory_hu_test.cc

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kpeter (Peter Kovacs)
Implement the scaling Price Refinement heuristic in CostScaling (#417) instead of Early Termination. These two heuristics are similar, but the newer one is faster and not only makes it possible to skip some epsilon phases, but it can improve the performance of the other phases, as well.
/* -*- 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 <iostream>
#include "test_tools.h"
#include <lemon/smart_graph.h>
#include <lemon/concepts/graph.h>
#include <lemon/concepts/maps.h>
#include <lemon/lgf_reader.h>
#include <lemon/gomory_hu.h>
#include <cstdlib>
using namespace std;
using namespace lemon;
typedef SmartGraph Graph;
char test_lgf[] =
"@nodes\n"
"label\n"
"0\n"
"1\n"
"2\n"
"3\n"
"4\n"
"@arcs\n"
" label capacity\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 checkGomoryHuCompile()
{
typedef int Value;
typedef concepts::Graph Graph;
typedef Graph::Node Node;
typedef Graph::Edge Edge;
typedef concepts::ReadMap<Edge, Value> CapMap;
typedef concepts::ReadWriteMap<Node, bool> CutMap;
Graph g;
Node n;
CapMap cap;
CutMap cut;
Value v;
int d;
GomoryHu<Graph, CapMap> gh_test(g, cap);
const GomoryHu<Graph, CapMap>&
const_gh_test = gh_test;
gh_test.run();
n = const_gh_test.predNode(n);
v = const_gh_test.predValue(n);
d = const_gh_test.rootDist(n);
v = const_gh_test.minCutValue(n, n);
v = const_gh_test.minCutMap(n, n, cut);
}
GRAPH_TYPEDEFS(Graph);
typedef Graph::EdgeMap<int> IntEdgeMap;
typedef Graph::NodeMap<bool> BoolNodeMap;
int cutValue(const Graph& graph, const BoolNodeMap& cut,
const IntEdgeMap& capacity) {
int sum = 0;
for (EdgeIt e(graph); e != INVALID; ++e) {
Node s = graph.u(e);
Node t = graph.v(e);
if (cut[s] != cut[t]) {
sum += capacity[e];
}
}
return sum;
}
int main() {
Graph graph;
IntEdgeMap capacity(graph);
std::istringstream input(test_lgf);
GraphReader<Graph>(graph, input).
edgeMap("capacity", capacity).run();
GomoryHu<Graph> ght(graph, capacity);
ght.run();
for (NodeIt u(graph); u != INVALID; ++u) {
for (NodeIt v(graph); v != u; ++v) {
Preflow<Graph, IntEdgeMap> pf(graph, capacity, u, v);
pf.runMinCut();
BoolNodeMap cm(graph);
ght.minCutMap(u, v, cm);
check(pf.flowValue() == ght.minCutValue(u, v), "Wrong cut 1");
check(cm[u] != cm[v], "Wrong cut 2");
check(pf.flowValue() == cutValue(graph, cm, capacity), "Wrong cut 3");
int sum=0;
for(GomoryHu<Graph>::MinCutEdgeIt a(ght, u, v);a!=INVALID;++a)
sum+=capacity[a];
check(sum == ght.minCutValue(u, v), "Problem with MinCutEdgeIt");
sum=0;
for(GomoryHu<Graph>::MinCutNodeIt n(ght, u, v,true);n!=INVALID;++n)
sum++;
for(GomoryHu<Graph>::MinCutNodeIt n(ght, u, v,false);n!=INVALID;++n)
sum++;
check(sum == countNodes(graph), "Problem with MinCutNodeIt");
}
}
return 0;
}