diff -r 6a17a722b50e -r e8349c6f12ca test/min_cost_flow_test.cc
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/test/min_cost_flow_test.cc	Tue Feb 24 09:46:02 2009 +0100
@@ -0,0 +1,455 @@
+/* -*- 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 <fstream>
+
+#include <lemon/list_graph.h>
+#include <lemon/smart_graph.h>
+#include <lemon/lgf_reader.h>
+
+//#include <lemon/cycle_canceling.h>
+//#include <lemon/capacity_scaling.h>
+//#include <lemon/cost_scaling.h>
+#include <lemon/network_simplex.h>
+//#include <lemon/min_cost_flow.h>
+//#include <lemon/min_cost_max_flow.h>
+
+#include <lemon/concepts/digraph.h>
+#include <lemon/concept_check.h>
+
+#include "test_tools.h"
+
+using namespace lemon;
+
+char test_lgf[] =
+  "@nodes\n"
+  "label  sup1 sup2 sup3\n"
+  "    1    20   27    0\n"
+  "    2    -4    0    0\n"
+  "    3     0    0    0\n"
+  "    4     0    0    0\n"
+  "    5     9    0    0\n"
+  "    6    -6    0    0\n"
+  "    7     0    0    0\n"
+  "    8     0    0    0\n"
+  "    9     3    0    0\n"
+  "   10    -2    0    0\n"
+  "   11     0    0    0\n"
+  "   12   -20  -27    0\n"
+  "\n"
+  "@arcs\n"
+  "       cost  cap low1 low2\n"
+  " 1  2    70   11    0    8\n"
+  " 1  3   150    3    0    1\n"
+  " 1  4    80   15    0    2\n"
+  " 2  8    80   12    0    0\n"
+  " 3  5   140    5    0    3\n"
+  " 4  6    60   10    0    1\n"
+  " 4  7    80    2    0    0\n"
+  " 4  8   110    3    0    0\n"
+  " 5  7    60   14    0    0\n"
+  " 5 11   120   12    0    0\n"
+  " 6  3     0    3    0    0\n"
+  " 6  9   140    4    0    0\n"
+  " 6 10    90    8    0    0\n"
+  " 7  1    30    5    0    0\n"
+  " 8 12    60   16    0    4\n"
+  " 9 12    50    6    0    0\n"
+  "10 12    70   13    0    5\n"
+  "10  2   100    7    0    0\n"
+  "10  7    60   10    0    0\n"
+  "11 10    20   14    0    6\n"
+  "12 11    30   10    0    0\n"
+  "\n"
+  "@attributes\n"
+  "source 1\n"
+  "target 12\n";
+
+
+// Check the interface of an MCF algorithm
+template <typename GR, typename Value>
+class McfClassConcept
+{
+public:
+
+  template <typename MCF>
+  struct Constraints {
+    void constraints() {
+      checkConcept<concepts::Digraph, GR>();
+
+      MCF mcf_test1(g, lower, upper, cost, sup);
+      MCF mcf_test2(g, upper, cost, sup);
+      MCF mcf_test3(g, lower, upper, cost, n, n, k);
+      MCF mcf_test4(g, upper, cost, n, n, k);
+
+      // TODO: This part should be enabled and the next part
+      // should be removed if map copying is supported
+/*
+      flow = mcf_test1.flowMap();
+      mcf_test1.flowMap(flow);
+
+      pot = mcf_test1.potentialMap();
+      mcf_test1.potentialMap(pot);
+*/
+/**/
+      const typename MCF::FlowMap &fm =
+        mcf_test1.flowMap();
+      mcf_test1.flowMap(flow);
+      const typename MCF::PotentialMap &pm =
+        mcf_test1.potentialMap();
+      mcf_test1.potentialMap(pot);
+      ignore_unused_variable_warning(fm);
+      ignore_unused_variable_warning(pm);
+/**/
+
+      mcf_test1.run();
+
+      v = mcf_test1.totalCost();
+      v = mcf_test1.flow(a);
+      v = mcf_test1.potential(n);
+    }
+
+    typedef typename GR::Node Node;
+    typedef typename GR::Arc Arc;
+    typedef concepts::ReadMap<Node, Value> NM;
+    typedef concepts::ReadMap<Arc, Value> AM;
+
+    const GR &g;
+    const AM &lower;
+    const AM &upper;
+    const AM &cost;
+    const NM &sup;
+    const Node &n;
+    const Arc &a;
+    const Value &k;
+    Value v;
+
+    typename MCF::FlowMap &flow;
+    typename MCF::PotentialMap &pot;
+  };
+
+};
+
+
+// Check the feasibility of the given flow (primal soluiton)
+template < typename GR, typename LM, typename UM,
+           typename SM, typename FM >
+bool checkFlow( const GR& gr, const LM& lower, const UM& upper,
+                const SM& supply, const FM& flow )
+{
+  TEMPLATE_DIGRAPH_TYPEDEFS(GR);
+
+  for (ArcIt e(gr); e != INVALID; ++e) {
+    if (flow[e] < lower[e] || flow[e] > upper[e]) return false;
+  }
+
+  for (NodeIt n(gr); n != INVALID; ++n) {
+    typename SM::Value sum = 0;
+    for (OutArcIt e(gr, n); e != INVALID; ++e)
+      sum += flow[e];
+    for (InArcIt e(gr, n); e != INVALID; ++e)
+      sum -= flow[e];
+    if (sum != supply[n]) return false;
+  }
+
+  return true;
+}
+
+// Check the feasibility of the given potentials (dual soluiton)
+// using the Complementary Slackness optimality condition
+template < typename GR, typename LM, typename UM,
+           typename CM, typename FM, typename PM >
+bool checkPotential( const GR& gr, const LM& lower, const UM& upper,
+                     const CM& cost, const FM& flow, const PM& pi )
+{
+  TEMPLATE_DIGRAPH_TYPEDEFS(GR);
+
+  bool opt = true;
+  for (ArcIt e(gr); opt && e != INVALID; ++e) {
+    typename CM::Value red_cost =
+      cost[e] + pi[gr.source(e)] - pi[gr.target(e)];
+    opt = red_cost == 0 ||
+          (red_cost > 0 && flow[e] == lower[e]) ||
+          (red_cost < 0 && flow[e] == upper[e]);
+  }
+  return opt;
+}
+
+// Run a minimum cost flow algorithm and check the results
+template < typename MCF, typename GR,
+           typename LM, typename UM,
+           typename CM, typename SM >
+void checkMcf( const MCF& mcf, bool mcf_result,
+               const GR& gr, const LM& lower, const UM& upper,
+               const CM& cost, const SM& supply,
+               bool result, typename CM::Value total,
+               const std::string &test_id = "" )
+{
+  check(mcf_result == result, "Wrong result " + test_id);
+  if (result) {
+    check(checkFlow(gr, lower, upper, supply, mcf.flowMap()),
+          "The flow is not feasible " + test_id);
+    check(mcf.totalCost() == total, "The flow is not optimal " + test_id);
+    check(checkPotential(gr, lower, upper, cost, mcf.flowMap(),
+                         mcf.potentialMap()),
+          "Wrong potentials " + test_id);
+  }
+}
+
+int main()
+{
+  // Check the interfaces
+  {
+    typedef int Value;
+    // This typedef should be enabled if the standard maps are
+    // reference maps in the graph concepts
+    //typedef concepts::Digraph GR;
+    typedef ListDigraph GR;
+    typedef concepts::ReadMap<GR::Node, Value> NM;
+    typedef concepts::ReadMap<GR::Arc, Value> AM;
+
+    //checkConcept< McfClassConcept<GR, Value>,
+    //              CycleCanceling<GR, AM, AM, AM, NM> >();
+    //checkConcept< McfClassConcept<GR, Value>,
+    //              CapacityScaling<GR, AM, AM, AM, NM> >();
+    //checkConcept< McfClassConcept<GR, Value>,
+    //              CostScaling<GR, AM, AM, AM, NM> >();
+    checkConcept< McfClassConcept<GR, Value>,
+                  NetworkSimplex<GR, AM, AM, AM, NM> >();
+    //checkConcept< MinCostFlow<GR, Value>,
+    //              NetworkSimplex<GR, AM, AM, AM, NM> >();
+  }
+
+  // Run various MCF tests
+  typedef ListDigraph Digraph;
+  DIGRAPH_TYPEDEFS(ListDigraph);
+
+  // Read the test digraph
+  Digraph gr;
+  Digraph::ArcMap<int> c(gr), l1(gr), l2(gr), u(gr);
+  Digraph::NodeMap<int> s1(gr), s2(gr), s3(gr);
+  Node v, w;
+
+  std::istringstream input(test_lgf);
+  DigraphReader<Digraph>(gr, input)
+    .arcMap("cost", c)
+    .arcMap("cap", u)
+    .arcMap("low1", l1)
+    .arcMap("low2", l2)
+    .nodeMap("sup1", s1)
+    .nodeMap("sup2", s2)
+    .nodeMap("sup3", s3)
+    .node("source", v)
+    .node("target", w)
+    .run();
+
+/*
+  // A. Test CapacityScaling with scaling
+  {
+    CapacityScaling<Digraph> mcf1(gr, u, c, s1);
+    CapacityScaling<Digraph> mcf2(gr, u, c, v, w, 27);
+    CapacityScaling<Digraph> mcf3(gr, u, c, s3);
+    CapacityScaling<Digraph> mcf4(gr, l2, u, c, s1);
+    CapacityScaling<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    CapacityScaling<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(), gr, l1, u, c, s1, true,  5240, "#A1");
+    checkMcf(mcf2, mcf2.run(), gr, l1, u, c, s2, true,  7620, "#A2");
+    checkMcf(mcf3, mcf3.run(), gr, l1, u, c, s3, true,     0, "#A3");
+    checkMcf(mcf4, mcf4.run(), gr, l2, u, c, s1, true,  5970, "#A4");
+    checkMcf(mcf5, mcf5.run(), gr, l2, u, c, s2, true,  8010, "#A5");
+    checkMcf(mcf6, mcf6.run(), gr, l2, u, c, s3, false,    0, "#A6");
+  }
+
+  // B. Test CapacityScaling without scaling
+  {
+    CapacityScaling<Digraph> mcf1(gr, u, c, s1);
+    CapacityScaling<Digraph> mcf2(gr, u, c, v, w, 27);
+    CapacityScaling<Digraph> mcf3(gr, u, c, s3);
+    CapacityScaling<Digraph> mcf4(gr, l2, u, c, s1);
+    CapacityScaling<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    CapacityScaling<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(false), gr, l1, u, c, s1, true,  5240, "#B1");
+    checkMcf(mcf2, mcf2.run(false), gr, l1, u, c, s2, true,  7620, "#B2");
+    checkMcf(mcf3, mcf3.run(false), gr, l1, u, c, s3, true,     0, "#B3");
+    checkMcf(mcf4, mcf4.run(false), gr, l2, u, c, s1, true,  5970, "#B4");
+    checkMcf(mcf5, mcf5.run(false), gr, l2, u, c, s2, true,  8010, "#B5");
+    checkMcf(mcf6, mcf6.run(false), gr, l2, u, c, s3, false,    0, "#B6");
+  }
+
+  // C. Test CostScaling using partial augment-relabel method
+  {
+    CostScaling<Digraph> mcf1(gr, u, c, s1);
+    CostScaling<Digraph> mcf2(gr, u, c, v, w, 27);
+    CostScaling<Digraph> mcf3(gr, u, c, s3);
+    CostScaling<Digraph> mcf4(gr, l2, u, c, s1);
+    CostScaling<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    CostScaling<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(), gr, l1, u, c, s1, true,  5240, "#C1");
+    checkMcf(mcf2, mcf2.run(), gr, l1, u, c, s2, true,  7620, "#C2");
+    checkMcf(mcf3, mcf3.run(), gr, l1, u, c, s3, true,     0, "#C3");
+    checkMcf(mcf4, mcf4.run(), gr, l2, u, c, s1, true,  5970, "#C4");
+    checkMcf(mcf5, mcf5.run(), gr, l2, u, c, s2, true,  8010, "#C5");
+    checkMcf(mcf6, mcf6.run(), gr, l2, u, c, s3, false,    0, "#C6");
+  }
+
+  // D. Test CostScaling using push-relabel method
+  {
+    CostScaling<Digraph> mcf1(gr, u, c, s1);
+    CostScaling<Digraph> mcf2(gr, u, c, v, w, 27);
+    CostScaling<Digraph> mcf3(gr, u, c, s3);
+    CostScaling<Digraph> mcf4(gr, l2, u, c, s1);
+    CostScaling<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    CostScaling<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(false), gr, l1, u, c, s1, true,  5240, "#D1");
+    checkMcf(mcf2, mcf2.run(false), gr, l1, u, c, s2, true,  7620, "#D2");
+    checkMcf(mcf3, mcf3.run(false), gr, l1, u, c, s3, true,     0, "#D3");
+    checkMcf(mcf4, mcf4.run(false), gr, l2, u, c, s1, true,  5970, "#D4");
+    checkMcf(mcf5, mcf5.run(false), gr, l2, u, c, s2, true,  8010, "#D5");
+    checkMcf(mcf6, mcf6.run(false), gr, l2, u, c, s3, false,    0, "#D6");
+  }
+*/
+
+  // E. Test NetworkSimplex with FIRST_ELIGIBLE_PIVOT
+  {
+    NetworkSimplex<Digraph>::PivotRuleEnum pr =
+      NetworkSimplex<Digraph>::FIRST_ELIGIBLE_PIVOT;
+    NetworkSimplex<Digraph> mcf1(gr, u, c, s1);
+    NetworkSimplex<Digraph> mcf2(gr, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf3(gr, u, c, s3);
+    NetworkSimplex<Digraph> mcf4(gr, l2, u, c, s1);
+    NetworkSimplex<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(pr), gr, l1, u, c, s1, true,  5240, "#E1");
+    checkMcf(mcf2, mcf2.run(pr), gr, l1, u, c, s2, true,  7620, "#E2");
+    checkMcf(mcf3, mcf3.run(pr), gr, l1, u, c, s3, true,     0, "#E3");
+    checkMcf(mcf4, mcf4.run(pr), gr, l2, u, c, s1, true,  5970, "#E4");
+    checkMcf(mcf5, mcf5.run(pr), gr, l2, u, c, s2, true,  8010, "#E5");
+    checkMcf(mcf6, mcf6.run(pr), gr, l2, u, c, s3, false,    0, "#E6");
+  }
+
+  // F. Test NetworkSimplex with BEST_ELIGIBLE_PIVOT
+  {
+    NetworkSimplex<Digraph>::PivotRuleEnum pr =
+      NetworkSimplex<Digraph>::BEST_ELIGIBLE_PIVOT;
+    NetworkSimplex<Digraph> mcf1(gr, u, c, s1);
+    NetworkSimplex<Digraph> mcf2(gr, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf3(gr, u, c, s3);
+    NetworkSimplex<Digraph> mcf4(gr, l2, u, c, s1);
+    NetworkSimplex<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(pr), gr, l1, u, c, s1, true,  5240, "#F1");
+    checkMcf(mcf2, mcf2.run(pr), gr, l1, u, c, s2, true,  7620, "#F2");
+    checkMcf(mcf3, mcf3.run(pr), gr, l1, u, c, s3, true,     0, "#F3");
+    checkMcf(mcf4, mcf4.run(pr), gr, l2, u, c, s1, true,  5970, "#F4");
+    checkMcf(mcf5, mcf5.run(pr), gr, l2, u, c, s2, true,  8010, "#F5");
+    checkMcf(mcf6, mcf6.run(pr), gr, l2, u, c, s3, false,    0, "#F6");
+  }
+
+  // G. Test NetworkSimplex with BLOCK_SEARCH_PIVOT
+  {
+    NetworkSimplex<Digraph>::PivotRuleEnum pr =
+      NetworkSimplex<Digraph>::BLOCK_SEARCH_PIVOT;
+    NetworkSimplex<Digraph> mcf1(gr, u, c, s1);
+    NetworkSimplex<Digraph> mcf2(gr, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf3(gr, u, c, s3);
+    NetworkSimplex<Digraph> mcf4(gr, l2, u, c, s1);
+    NetworkSimplex<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(pr), gr, l1, u, c, s1, true,  5240, "#G1");
+    checkMcf(mcf2, mcf2.run(pr), gr, l1, u, c, s2, true,  7620, "#G2");
+    checkMcf(mcf3, mcf3.run(pr), gr, l1, u, c, s3, true,     0, "#G3");
+    checkMcf(mcf4, mcf4.run(pr), gr, l2, u, c, s1, true,  5970, "#G4");
+    checkMcf(mcf5, mcf5.run(pr), gr, l2, u, c, s2, true,  8010, "#G5");
+    checkMcf(mcf6, mcf6.run(pr), gr, l2, u, c, s3, false,    0, "#G6");
+  }
+
+  // H. Test NetworkSimplex with CANDIDATE_LIST_PIVOT
+  {
+    NetworkSimplex<Digraph>::PivotRuleEnum pr =
+      NetworkSimplex<Digraph>::CANDIDATE_LIST_PIVOT;
+    NetworkSimplex<Digraph> mcf1(gr, u, c, s1);
+    NetworkSimplex<Digraph> mcf2(gr, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf3(gr, u, c, s3);
+    NetworkSimplex<Digraph> mcf4(gr, l2, u, c, s1);
+    NetworkSimplex<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(pr), gr, l1, u, c, s1, true,  5240, "#H1");
+    checkMcf(mcf2, mcf2.run(pr), gr, l1, u, c, s2, true,  7620, "#H2");
+    checkMcf(mcf3, mcf3.run(pr), gr, l1, u, c, s3, true,     0, "#H3");
+    checkMcf(mcf4, mcf4.run(pr), gr, l2, u, c, s1, true,  5970, "#H4");
+    checkMcf(mcf5, mcf5.run(pr), gr, l2, u, c, s2, true,  8010, "#H5");
+    checkMcf(mcf6, mcf6.run(pr), gr, l2, u, c, s3, false,    0, "#H6");
+  }
+
+  // I. Test NetworkSimplex with ALTERING_LIST_PIVOT
+  {
+    NetworkSimplex<Digraph>::PivotRuleEnum pr =
+      NetworkSimplex<Digraph>::ALTERING_LIST_PIVOT;
+    NetworkSimplex<Digraph> mcf1(gr, u, c, s1);
+    NetworkSimplex<Digraph> mcf2(gr, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf3(gr, u, c, s3);
+    NetworkSimplex<Digraph> mcf4(gr, l2, u, c, s1);
+    NetworkSimplex<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    NetworkSimplex<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(pr), gr, l1, u, c, s1, true,  5240, "#I1");
+    checkMcf(mcf2, mcf2.run(pr), gr, l1, u, c, s2, true,  7620, "#I2");
+    checkMcf(mcf3, mcf3.run(pr), gr, l1, u, c, s3, true,     0, "#I3");
+    checkMcf(mcf4, mcf4.run(pr), gr, l2, u, c, s1, true,  5970, "#I4");
+    checkMcf(mcf5, mcf5.run(pr), gr, l2, u, c, s2, true,  8010, "#I5");
+    checkMcf(mcf6, mcf6.run(pr), gr, l2, u, c, s3, false,    0, "#I6");
+  }
+
+/*
+  // J. Test MinCostFlow
+  {
+    MinCostFlow<Digraph> mcf1(gr, u, c, s1);
+    MinCostFlow<Digraph> mcf2(gr, u, c, v, w, 27);
+    MinCostFlow<Digraph> mcf3(gr, u, c, s3);
+    MinCostFlow<Digraph> mcf4(gr, l2, u, c, s1);
+    MinCostFlow<Digraph> mcf5(gr, l2, u, c, v, w, 27);
+    MinCostFlow<Digraph> mcf6(gr, l2, u, c, s3);
+
+    checkMcf(mcf1, mcf1.run(), gr, l1, u, c, s1, true,  5240, "#J1");
+    checkMcf(mcf2, mcf2.run(), gr, l1, u, c, s2, true,  7620, "#J2");
+    checkMcf(mcf3, mcf3.run(), gr, l1, u, c, s3, true,     0, "#J3");
+    checkMcf(mcf4, mcf4.run(), gr, l2, u, c, s1, true,  5970, "#J4");
+    checkMcf(mcf5, mcf5.run(), gr, l2, u, c, s2, true,  8010, "#J5");
+    checkMcf(mcf6, mcf6.run(), gr, l2, u, c, s3, false,    0, "#J6");
+  }
+*/
+/*
+  // K. Test MinCostMaxFlow
+  {
+    MinCostMaxFlow<Digraph> mcmf(gr, u, c, v, w);
+    mcmf.run();
+    checkMcf(mcmf, true, gr, l1, u, c, s3, true, 7620, "#K1");
+  }
+*/
+
+  return 0;
+}