kpeter@601: /* -*- mode: C++; indent-tabs-mode: nil; -*-
kpeter@601:  *
kpeter@601:  * This file is a part of LEMON, a generic C++ optimization library.
kpeter@601:  *
kpeter@601:  * Copyright (C) 2003-2009
kpeter@601:  * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
kpeter@601:  * (Egervary Research Group on Combinatorial Optimization, EGRES).
kpeter@601:  *
kpeter@601:  * Permission to use, modify and distribute this software is granted
kpeter@601:  * provided that this copyright notice appears in all copies. For
kpeter@601:  * precise terms see the accompanying LICENSE file.
kpeter@601:  *
kpeter@601:  * This software is provided "AS IS" with no warranty of any kind,
kpeter@601:  * express or implied, and with no claim as to its suitability for any
kpeter@601:  * purpose.
kpeter@601:  *
kpeter@601:  */
kpeter@601: 
kpeter@601: #include <iostream>
kpeter@601: #include <fstream>
kpeter@601: 
kpeter@601: #include <lemon/list_graph.h>
kpeter@601: #include <lemon/lgf_reader.h>
kpeter@601: 
kpeter@601: #include <lemon/network_simplex.h>
kpeter@601: 
kpeter@601: #include <lemon/concepts/digraph.h>
kpeter@601: #include <lemon/concept_check.h>
kpeter@601: 
kpeter@601: #include "test_tools.h"
kpeter@601: 
kpeter@601: using namespace lemon;
kpeter@601: 
kpeter@601: char test_lgf[] =
kpeter@601:   "@nodes\n"
kpeter@601:   "label  sup1 sup2 sup3\n"
kpeter@601:   "    1    20   27    0\n"
kpeter@601:   "    2    -4    0    0\n"
kpeter@601:   "    3     0    0    0\n"
kpeter@601:   "    4     0    0    0\n"
kpeter@601:   "    5     9    0    0\n"
kpeter@601:   "    6    -6    0    0\n"
kpeter@601:   "    7     0    0    0\n"
kpeter@601:   "    8     0    0    0\n"
kpeter@601:   "    9     3    0    0\n"
kpeter@601:   "   10    -2    0    0\n"
kpeter@601:   "   11     0    0    0\n"
kpeter@601:   "   12   -20  -27    0\n"
kpeter@601:   "\n"
kpeter@601:   "@arcs\n"
kpeter@601:   "       cost  cap low1 low2\n"
kpeter@601:   " 1  2    70   11    0    8\n"
kpeter@601:   " 1  3   150    3    0    1\n"
kpeter@601:   " 1  4    80   15    0    2\n"
kpeter@601:   " 2  8    80   12    0    0\n"
kpeter@601:   " 3  5   140    5    0    3\n"
kpeter@601:   " 4  6    60   10    0    1\n"
kpeter@601:   " 4  7    80    2    0    0\n"
kpeter@601:   " 4  8   110    3    0    0\n"
kpeter@601:   " 5  7    60   14    0    0\n"
kpeter@601:   " 5 11   120   12    0    0\n"
kpeter@601:   " 6  3     0    3    0    0\n"
kpeter@601:   " 6  9   140    4    0    0\n"
kpeter@601:   " 6 10    90    8    0    0\n"
kpeter@601:   " 7  1    30    5    0    0\n"
kpeter@601:   " 8 12    60   16    0    4\n"
kpeter@601:   " 9 12    50    6    0    0\n"
kpeter@601:   "10 12    70   13    0    5\n"
kpeter@601:   "10  2   100    7    0    0\n"
kpeter@601:   "10  7    60   10    0    0\n"
kpeter@601:   "11 10    20   14    0    6\n"
kpeter@601:   "12 11    30   10    0    0\n"
kpeter@601:   "\n"
kpeter@601:   "@attributes\n"
kpeter@601:   "source 1\n"
kpeter@601:   "target 12\n";
kpeter@601: 
kpeter@601: 
kpeter@601: // Check the interface of an MCF algorithm
kpeter@601: template <typename GR, typename Value>
kpeter@601: class McfClassConcept
kpeter@601: {
kpeter@601: public:
kpeter@601: 
kpeter@601:   template <typename MCF>
kpeter@601:   struct Constraints {
kpeter@601:     void constraints() {
kpeter@601:       checkConcept<concepts::Digraph, GR>();
kpeter@601: 
kpeter@605:       MCF mcf(g);
kpeter@601: 
kpeter@605:       b = mcf.lowerMap(lower)
kpeter@605:              .upperMap(upper)
kpeter@605:              .capacityMap(upper)
kpeter@605:              .boundMaps(lower, upper)
kpeter@605:              .costMap(cost)
kpeter@605:              .supplyMap(sup)
kpeter@605:              .stSupply(n, n, k)
kpeter@605:              .run();
kpeter@601: 
kpeter@605:       const typename MCF::FlowMap &fm = mcf.flowMap();
kpeter@605:       const typename MCF::PotentialMap &pm = mcf.potentialMap();
kpeter@605: 
kpeter@605:       v = mcf.totalCost();
kpeter@605:       double x = mcf.template totalCost<double>();
kpeter@605:       v = mcf.flow(a);
kpeter@605:       v = mcf.potential(n);
kpeter@605:       mcf.flowMap(flow);
kpeter@605:       mcf.potentialMap(pot);
kpeter@605: 
kpeter@601:       ignore_unused_variable_warning(fm);
kpeter@601:       ignore_unused_variable_warning(pm);
kpeter@605:       ignore_unused_variable_warning(x);
kpeter@601:     }
kpeter@601: 
kpeter@601:     typedef typename GR::Node Node;
kpeter@601:     typedef typename GR::Arc Arc;
kpeter@601:     typedef concepts::ReadMap<Node, Value> NM;
kpeter@601:     typedef concepts::ReadMap<Arc, Value> AM;
kpeter@601: 
kpeter@601:     const GR &g;
kpeter@601:     const AM &lower;
kpeter@601:     const AM &upper;
kpeter@601:     const AM &cost;
kpeter@601:     const NM &sup;
kpeter@601:     const Node &n;
kpeter@601:     const Arc &a;
kpeter@601:     const Value &k;
kpeter@601:     Value v;
kpeter@605:     bool b;
kpeter@601: 
kpeter@601:     typename MCF::FlowMap &flow;
kpeter@601:     typename MCF::PotentialMap &pot;
kpeter@601:   };
kpeter@601: 
kpeter@601: };
kpeter@601: 
kpeter@601: 
kpeter@601: // Check the feasibility of the given flow (primal soluiton)
kpeter@601: template < typename GR, typename LM, typename UM,
kpeter@601:            typename SM, typename FM >
kpeter@601: bool checkFlow( const GR& gr, const LM& lower, const UM& upper,
kpeter@601:                 const SM& supply, const FM& flow )
kpeter@601: {
kpeter@601:   TEMPLATE_DIGRAPH_TYPEDEFS(GR);
kpeter@601: 
kpeter@601:   for (ArcIt e(gr); e != INVALID; ++e) {
kpeter@601:     if (flow[e] < lower[e] || flow[e] > upper[e]) return false;
kpeter@601:   }
kpeter@601: 
kpeter@601:   for (NodeIt n(gr); n != INVALID; ++n) {
kpeter@601:     typename SM::Value sum = 0;
kpeter@601:     for (OutArcIt e(gr, n); e != INVALID; ++e)
kpeter@601:       sum += flow[e];
kpeter@601:     for (InArcIt e(gr, n); e != INVALID; ++e)
kpeter@601:       sum -= flow[e];
kpeter@601:     if (sum != supply[n]) return false;
kpeter@601:   }
kpeter@601: 
kpeter@601:   return true;
kpeter@601: }
kpeter@601: 
kpeter@601: // Check the feasibility of the given potentials (dual soluiton)
kpeter@605: // using the "Complementary Slackness" optimality condition
kpeter@601: template < typename GR, typename LM, typename UM,
kpeter@601:            typename CM, typename FM, typename PM >
kpeter@601: bool checkPotential( const GR& gr, const LM& lower, const UM& upper,
kpeter@601:                      const CM& cost, const FM& flow, const PM& pi )
kpeter@601: {
kpeter@601:   TEMPLATE_DIGRAPH_TYPEDEFS(GR);
kpeter@601: 
kpeter@601:   bool opt = true;
kpeter@601:   for (ArcIt e(gr); opt && e != INVALID; ++e) {
kpeter@601:     typename CM::Value red_cost =
kpeter@601:       cost[e] + pi[gr.source(e)] - pi[gr.target(e)];
kpeter@601:     opt = red_cost == 0 ||
kpeter@601:           (red_cost > 0 && flow[e] == lower[e]) ||
kpeter@601:           (red_cost < 0 && flow[e] == upper[e]);
kpeter@601:   }
kpeter@601:   return opt;
kpeter@601: }
kpeter@601: 
kpeter@601: // Run a minimum cost flow algorithm and check the results
kpeter@601: template < typename MCF, typename GR,
kpeter@601:            typename LM, typename UM,
kpeter@601:            typename CM, typename SM >
kpeter@601: void checkMcf( const MCF& mcf, bool mcf_result,
kpeter@601:                const GR& gr, const LM& lower, const UM& upper,
kpeter@601:                const CM& cost, const SM& supply,
kpeter@601:                bool result, typename CM::Value total,
kpeter@601:                const std::string &test_id = "" )
kpeter@601: {
kpeter@601:   check(mcf_result == result, "Wrong result " + test_id);
kpeter@601:   if (result) {
kpeter@601:     check(checkFlow(gr, lower, upper, supply, mcf.flowMap()),
kpeter@601:           "The flow is not feasible " + test_id);
kpeter@601:     check(mcf.totalCost() == total, "The flow is not optimal " + test_id);
kpeter@601:     check(checkPotential(gr, lower, upper, cost, mcf.flowMap(),
kpeter@601:                          mcf.potentialMap()),
kpeter@601:           "Wrong potentials " + test_id);
kpeter@601:   }
kpeter@601: }
kpeter@601: 
kpeter@601: int main()
kpeter@601: {
kpeter@601:   // Check the interfaces
kpeter@601:   {
kpeter@601:     typedef int Value;
kpeter@605:     // TODO: This typedef should be enabled if the standard maps are
kpeter@605:     // reference maps in the graph concepts (See #190).
kpeter@605: /**/
kpeter@601:     //typedef concepts::Digraph GR;
kpeter@601:     typedef ListDigraph GR;
kpeter@605: /**/
kpeter@601:     checkConcept< McfClassConcept<GR, Value>,
kpeter@605:                   NetworkSimplex<GR, Value> >();
kpeter@601:   }
kpeter@601: 
kpeter@601:   // Run various MCF tests
kpeter@601:   typedef ListDigraph Digraph;
kpeter@601:   DIGRAPH_TYPEDEFS(ListDigraph);
kpeter@601: 
kpeter@601:   // Read the test digraph
kpeter@601:   Digraph gr;
kpeter@601:   Digraph::ArcMap<int> c(gr), l1(gr), l2(gr), u(gr);
kpeter@601:   Digraph::NodeMap<int> s1(gr), s2(gr), s3(gr);
kpeter@605:   ConstMap<Arc, int> cc(1), cu(std::numeric_limits<int>::max());
kpeter@601:   Node v, w;
kpeter@601: 
kpeter@601:   std::istringstream input(test_lgf);
kpeter@601:   DigraphReader<Digraph>(gr, input)
kpeter@601:     .arcMap("cost", c)
kpeter@601:     .arcMap("cap", u)
kpeter@601:     .arcMap("low1", l1)
kpeter@601:     .arcMap("low2", l2)
kpeter@601:     .nodeMap("sup1", s1)
kpeter@601:     .nodeMap("sup2", s2)
kpeter@601:     .nodeMap("sup3", s3)
kpeter@601:     .node("source", v)
kpeter@601:     .node("target", w)
kpeter@601:     .run();
kpeter@601: 
kpeter@605:   // A. Test NetworkSimplex with the default pivot rule
kpeter@601:   {
kpeter@605:     NetworkSimplex<Digraph> mcf1(gr), mcf2(gr), mcf3(gr), mcf4(gr),
kpeter@605:                             mcf5(gr), mcf6(gr), mcf7(gr), mcf8(gr);
kpeter@601: 
kpeter@605:     checkMcf(mcf1, mcf1.upperMap(u).costMap(c).supplyMap(s1).run(),
kpeter@605:              gr, l1, u, c, s1, true,  5240, "#A1");
kpeter@605:     checkMcf(mcf2, mcf2.upperMap(u).costMap(c).stSupply(v, w, 27).run(),
kpeter@605:              gr, l1, u, c, s2, true,  7620, "#A2");
kpeter@605:     checkMcf(mcf3, mcf3.boundMaps(l2, u).costMap(c).supplyMap(s1).run(),
kpeter@605:              gr, l2, u, c, s1, true,  5970, "#A3");
kpeter@605:     checkMcf(mcf4, mcf4.boundMaps(l2, u).costMap(c).stSupply(v, w, 27).run(),
kpeter@605:              gr, l2, u, c, s2, true,  8010, "#A4");
kpeter@605:     checkMcf(mcf5, mcf5.supplyMap(s1).run(),
kpeter@605:              gr, l1, cu, cc, s1, true,  74, "#A5");
kpeter@605:     checkMcf(mcf6, mcf6.stSupply(v, w, 27).lowerMap(l2).run(),
kpeter@605:              gr, l2, cu, cc, s2, true,  94, "#A6");
kpeter@605:     checkMcf(mcf7, mcf7.run(),
kpeter@605:              gr, l1, cu, cc, s3, true,   0, "#A7");
kpeter@605:     checkMcf(mcf8, mcf8.boundMaps(l2, u).run(),
kpeter@605:              gr, l2, u, cc, s3, false,   0, "#A8");
kpeter@601:   }
kpeter@601: 
kpeter@605:   // B. Test NetworkSimplex with each pivot rule
kpeter@601:   {
kpeter@605:     NetworkSimplex<Digraph> mcf1(gr), mcf2(gr), mcf3(gr), mcf4(gr), mcf5(gr);
kpeter@605:     NetworkSimplex<Digraph>::PivotRule pr;
kpeter@601: 
kpeter@605:     pr = NetworkSimplex<Digraph>::FIRST_ELIGIBLE;
kpeter@605:     checkMcf(mcf1, mcf1.boundMaps(l2, u).costMap(c).supplyMap(s1).run(pr),
kpeter@605:              gr, l2, u, c, s1, true,  5970, "#B1");
kpeter@605:     pr = NetworkSimplex<Digraph>::BEST_ELIGIBLE;
kpeter@605:     checkMcf(mcf2, mcf2.boundMaps(l2, u).costMap(c).supplyMap(s1).run(pr),
kpeter@605:              gr, l2, u, c, s1, true,  5970, "#B2");
kpeter@605:     pr = NetworkSimplex<Digraph>::BLOCK_SEARCH;
kpeter@605:     checkMcf(mcf3, mcf3.boundMaps(l2, u).costMap(c).supplyMap(s1).run(pr),
kpeter@605:              gr, l2, u, c, s1, true,  5970, "#B3");
kpeter@605:     pr = NetworkSimplex<Digraph>::CANDIDATE_LIST;
kpeter@605:     checkMcf(mcf4, mcf4.boundMaps(l2, u).costMap(c).supplyMap(s1).run(pr),
kpeter@605:              gr, l2, u, c, s1, true,  5970, "#B4");
kpeter@605:     pr = NetworkSimplex<Digraph>::ALTERING_LIST;
kpeter@605:     checkMcf(mcf5, mcf5.boundMaps(l2, u).costMap(c).supplyMap(s1).run(pr),
kpeter@605:              gr, l2, u, c, s1, true,  5970, "#B5");
kpeter@601:   }
kpeter@601: 
kpeter@601:   return 0;
kpeter@601: }