diff -r e9c203fb003d -r 994c7df296c9 test/matching_test.cc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/matching_test.cc	Thu Dec 10 17:05:35 2009 +0100
@@ -0,0 +1,424 @@
+/* -*- 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 <iostream>
+#include <sstream>
+#include <vector>
+#include <queue>
+#include <cstdlib>
+
+#include <lemon/matching.h>
+#include <lemon/smart_graph.h>
+#include <lemon/concepts/graph.h>
+#include <lemon/concepts/maps.h>
+#include <lemon/lgf_reader.h>
+#include <lemon/math.h>
+
+#include "test_tools.h"
+
+using namespace std;
+using namespace lemon;
+
+GRAPH_TYPEDEFS(SmartGraph);
+
+
+const int lgfn = 3;
+const std::string lgf[lgfn] = {
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "5\n"
+  "6\n"
+  "7\n"
+  "@edges\n"
+  "     label  weight\n"
+  "7 4  0      984\n"
+  "0 7  1      73\n"
+  "7 1  2      204\n"
+  "2 3  3      583\n"
+  "2 7  4      565\n"
+  "2 1  5      582\n"
+  "0 4  6      551\n"
+  "2 5  7      385\n"
+  "1 5  8      561\n"
+  "5 3  9      484\n"
+  "7 5  10     904\n"
+  "3 6  11     47\n"
+  "7 6  12     888\n"
+  "3 0  13     747\n"
+  "6 1  14     310\n",
+
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "5\n"
+  "6\n"
+  "7\n"
+  "@edges\n"
+  "     label  weight\n"
+  "2 5  0      710\n"
+  "0 5  1      241\n"
+  "2 4  2      856\n"
+  "2 6  3      762\n"
+  "4 1  4      747\n"
+  "6 1  5      962\n"
+  "4 7  6      723\n"
+  "1 7  7      661\n"
+  "2 3  8      376\n"
+  "1 0  9      416\n"
+  "6 7  10     391\n",
+
+  "@nodes\n"
+  "label\n"
+  "0\n"
+  "1\n"
+  "2\n"
+  "3\n"
+  "4\n"
+  "5\n"
+  "6\n"
+  "7\n"
+  "@edges\n"
+  "     label  weight\n"
+  "6 2  0      553\n"
+  "0 7  1      653\n"
+  "6 3  2      22\n"
+  "4 7  3      846\n"
+  "7 2  4      981\n"
+  "7 6  5      250\n"
+  "5 2  6      539\n",
+};
+
+void checkMaxMatchingCompile()
+{
+  typedef concepts::Graph Graph;
+  typedef Graph::Node Node;
+  typedef Graph::Edge Edge;
+  typedef Graph::EdgeMap<bool> MatMap;
+
+  Graph g;
+  Node n;
+  Edge e;
+  MatMap mat(g);
+
+  MaxMatching<Graph> mat_test(g);
+  const MaxMatching<Graph>&
+    const_mat_test = mat_test;
+
+  mat_test.init();
+  mat_test.greedyInit();
+  mat_test.matchingInit(mat);
+  mat_test.startSparse();
+  mat_test.startDense();
+  mat_test.run();
+  
+  const_mat_test.matchingSize();
+  const_mat_test.matching(e);
+  const_mat_test.matching(n);
+  const MaxMatching<Graph>::MatchingMap& mmap =
+    const_mat_test.matchingMap();
+  e = mmap[n];
+  const_mat_test.mate(n);
+
+  MaxMatching<Graph>::Status stat = 
+    const_mat_test.status(n);
+  const MaxMatching<Graph>::StatusMap& smap =
+    const_mat_test.statusMap();
+  stat = smap[n];
+  const_mat_test.barrier(n);
+}
+
+void checkMaxWeightedMatchingCompile()
+{
+  typedef concepts::Graph Graph;
+  typedef Graph::Node Node;
+  typedef Graph::Edge Edge;
+  typedef Graph::EdgeMap<int> WeightMap;
+
+  Graph g;
+  Node n;
+  Edge e;
+  WeightMap w(g);
+
+  MaxWeightedMatching<Graph> mat_test(g, w);
+  const MaxWeightedMatching<Graph>&
+    const_mat_test = mat_test;
+
+  mat_test.init();
+  mat_test.start();
+  mat_test.run();
+  
+  const_mat_test.matchingWeight();
+  const_mat_test.matchingSize();
+  const_mat_test.matching(e);
+  const_mat_test.matching(n);
+  const MaxWeightedMatching<Graph>::MatchingMap& mmap =
+    const_mat_test.matchingMap();
+  e = mmap[n];
+  const_mat_test.mate(n);
+  
+  int k = 0;
+  const_mat_test.dualValue();
+  const_mat_test.nodeValue(n);
+  const_mat_test.blossomNum();
+  const_mat_test.blossomSize(k);
+  const_mat_test.blossomValue(k);
+}
+
+void checkMaxWeightedPerfectMatchingCompile()
+{
+  typedef concepts::Graph Graph;
+  typedef Graph::Node Node;
+  typedef Graph::Edge Edge;
+  typedef Graph::EdgeMap<int> WeightMap;
+
+  Graph g;
+  Node n;
+  Edge e;
+  WeightMap w(g);
+
+  MaxWeightedPerfectMatching<Graph> mat_test(g, w);
+  const MaxWeightedPerfectMatching<Graph>&
+    const_mat_test = mat_test;
+
+  mat_test.init();
+  mat_test.start();
+  mat_test.run();
+  
+  const_mat_test.matchingWeight();
+  const_mat_test.matching(e);
+  const_mat_test.matching(n);
+  const MaxWeightedPerfectMatching<Graph>::MatchingMap& mmap =
+    const_mat_test.matchingMap();
+  e = mmap[n];
+  const_mat_test.mate(n);
+  
+  int k = 0;
+  const_mat_test.dualValue();
+  const_mat_test.nodeValue(n);
+  const_mat_test.blossomNum();
+  const_mat_test.blossomSize(k);
+  const_mat_test.blossomValue(k);
+}
+
+void checkMatching(const SmartGraph& graph,
+                   const MaxMatching<SmartGraph>& mm) {
+  int num = 0;
+
+  IntNodeMap comp_index(graph);
+  UnionFind<IntNodeMap> comp(comp_index);
+
+  int barrier_num = 0;
+
+  for (NodeIt n(graph); n != INVALID; ++n) {
+    check(mm.status(n) == MaxMatching<SmartGraph>::EVEN ||
+          mm.matching(n) != INVALID, "Wrong Gallai-Edmonds decomposition");
+    if (mm.status(n) == MaxMatching<SmartGraph>::ODD) {
+      ++barrier_num;
+    } else {
+      comp.insert(n);
+    }
+  }
+
+  for (EdgeIt e(graph); e != INVALID; ++e) {
+    if (mm.matching(e)) {
+      check(e == mm.matching(graph.u(e)), "Wrong matching");
+      check(e == mm.matching(graph.v(e)), "Wrong matching");
+      ++num;
+    }
+    check(mm.status(graph.u(e)) != MaxMatching<SmartGraph>::EVEN ||
+          mm.status(graph.v(e)) != MaxMatching<SmartGraph>::MATCHED,
+          "Wrong Gallai-Edmonds decomposition");
+
+    check(mm.status(graph.v(e)) != MaxMatching<SmartGraph>::EVEN ||
+          mm.status(graph.u(e)) != MaxMatching<SmartGraph>::MATCHED,
+          "Wrong Gallai-Edmonds decomposition");
+
+    if (mm.status(graph.u(e)) != MaxMatching<SmartGraph>::ODD &&
+        mm.status(graph.v(e)) != MaxMatching<SmartGraph>::ODD) {
+      comp.join(graph.u(e), graph.v(e));
+    }
+  }
+
+  std::set<int> comp_root;
+  int odd_comp_num = 0;
+  for (NodeIt n(graph); n != INVALID; ++n) {
+    if (mm.status(n) != MaxMatching<SmartGraph>::ODD) {
+      int root = comp.find(n);
+      if (comp_root.find(root) == comp_root.end()) {
+        comp_root.insert(root);
+        if (comp.size(n) % 2 == 1) {
+          ++odd_comp_num;
+        }
+      }
+    }
+  }
+
+  check(mm.matchingSize() == num, "Wrong matching");
+  check(2 * num == countNodes(graph) - (odd_comp_num - barrier_num),
+         "Wrong matching");
+  return;
+}
+
+void checkWeightedMatching(const SmartGraph& graph,
+                   const SmartGraph::EdgeMap<int>& weight,
+                   const MaxWeightedMatching<SmartGraph>& mwm) {
+  for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) {
+    if (graph.u(e) == graph.v(e)) continue;
+    int rw = mwm.nodeValue(graph.u(e)) + mwm.nodeValue(graph.v(e));
+
+    for (int i = 0; i < mwm.blossomNum(); ++i) {
+      bool s = false, t = false;
+      for (MaxWeightedMatching<SmartGraph>::BlossomIt n(mwm, i);
+           n != INVALID; ++n) {
+        if (graph.u(e) == n) s = true;
+        if (graph.v(e) == n) t = true;
+      }
+      if (s == true && t == true) {
+        rw += mwm.blossomValue(i);
+      }
+    }
+    rw -= weight[e] * mwm.dualScale;
+
+    check(rw >= 0, "Negative reduced weight");
+    check(rw == 0 || !mwm.matching(e),
+          "Non-zero reduced weight on matching edge");
+  }
+
+  int pv = 0;
+  for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
+    if (mwm.matching(n) != INVALID) {
+      check(mwm.nodeValue(n) >= 0, "Invalid node value");
+      pv += weight[mwm.matching(n)];
+      SmartGraph::Node o = graph.target(mwm.matching(n));
+      check(mwm.mate(n) == o, "Invalid matching");
+      check(mwm.matching(n) == graph.oppositeArc(mwm.matching(o)),
+            "Invalid matching");
+    } else {
+      check(mwm.mate(n) == INVALID, "Invalid matching");
+      check(mwm.nodeValue(n) == 0, "Invalid matching");
+    }
+  }
+
+  int dv = 0;
+  for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
+    dv += mwm.nodeValue(n);
+  }
+
+  for (int i = 0; i < mwm.blossomNum(); ++i) {
+    check(mwm.blossomValue(i) >= 0, "Invalid blossom value");
+    check(mwm.blossomSize(i) % 2 == 1, "Even blossom size");
+    dv += mwm.blossomValue(i) * ((mwm.blossomSize(i) - 1) / 2);
+  }
+
+  check(pv * mwm.dualScale == dv * 2, "Wrong duality");
+
+  return;
+}
+
+void checkWeightedPerfectMatching(const SmartGraph& graph,
+                          const SmartGraph::EdgeMap<int>& weight,
+                          const MaxWeightedPerfectMatching<SmartGraph>& mwpm) {
+  for (SmartGraph::EdgeIt e(graph); e != INVALID; ++e) {
+    if (graph.u(e) == graph.v(e)) continue;
+    int rw = mwpm.nodeValue(graph.u(e)) + mwpm.nodeValue(graph.v(e));
+
+    for (int i = 0; i < mwpm.blossomNum(); ++i) {
+      bool s = false, t = false;
+      for (MaxWeightedPerfectMatching<SmartGraph>::BlossomIt n(mwpm, i);
+           n != INVALID; ++n) {
+        if (graph.u(e) == n) s = true;
+        if (graph.v(e) == n) t = true;
+      }
+      if (s == true && t == true) {
+        rw += mwpm.blossomValue(i);
+      }
+    }
+    rw -= weight[e] * mwpm.dualScale;
+
+    check(rw >= 0, "Negative reduced weight");
+    check(rw == 0 || !mwpm.matching(e),
+          "Non-zero reduced weight on matching edge");
+  }
+
+  int pv = 0;
+  for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
+    check(mwpm.matching(n) != INVALID, "Non perfect");
+    pv += weight[mwpm.matching(n)];
+    SmartGraph::Node o = graph.target(mwpm.matching(n));
+    check(mwpm.mate(n) == o, "Invalid matching");
+    check(mwpm.matching(n) == graph.oppositeArc(mwpm.matching(o)),
+          "Invalid matching");
+  }
+
+  int dv = 0;
+  for (SmartGraph::NodeIt n(graph); n != INVALID; ++n) {
+    dv += mwpm.nodeValue(n);
+  }
+
+  for (int i = 0; i < mwpm.blossomNum(); ++i) {
+    check(mwpm.blossomValue(i) >= 0, "Invalid blossom value");
+    check(mwpm.blossomSize(i) % 2 == 1, "Even blossom size");
+    dv += mwpm.blossomValue(i) * ((mwpm.blossomSize(i) - 1) / 2);
+  }
+
+  check(pv * mwpm.dualScale == dv * 2, "Wrong duality");
+
+  return;
+}
+
+
+int main() {
+
+  for (int i = 0; i < lgfn; ++i) {
+    SmartGraph graph;
+    SmartGraph::EdgeMap<int> weight(graph);
+
+    istringstream lgfs(lgf[i]);
+    graphReader(graph, lgfs).
+      edgeMap("weight", weight).run();
+
+    MaxMatching<SmartGraph> mm(graph);
+    mm.run();
+    checkMatching(graph, mm);
+
+    MaxWeightedMatching<SmartGraph> mwm(graph, weight);
+    mwm.run();
+    checkWeightedMatching(graph, weight, mwm);
+
+    MaxWeightedPerfectMatching<SmartGraph> mwpm(graph, weight);
+    bool perfect = mwpm.run();
+
+    check(perfect == (mm.matchingSize() * 2 == countNodes(graph)),
+          "Perfect matching found");
+
+    if (perfect) {
+      checkWeightedPerfectMatching(graph, weight, mwpm);
+    }
+  }
+
+  return 0;
+}