/* -*- mode: C++; indent-tabs-mode: nil; -*-

  *

  * This file is a part of LEMON, a generic C++ optimization library.

  *

  * Copyright (C) 2003-2011

  * 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/preflow.h>

 #include <lemon/concepts/digraph.h>

 #include <lemon/concepts/maps.h>

 #include <lemon/lgf_reader.h>

 #include <lemon/elevator.h>

 using namespace lemon;

 char test_lgf[] =

   "@nodes\n"

   "label\n"

   "0\n"

   "1\n"

   "2\n"

   "3\n"

   "4\n"

   "5\n"

   "6\n"

   "7\n"

   "8\n"

   "9\n"

   "@arcs\n"

   "    label capacity\n"

   "0 1 0     20\n"

   "0 2 1     0\n"

   "1 1 2     3\n"

   "1 2 3     8\n"

   "1 3 4     8\n"

   "2 5 5     5\n"

   "3 2 6     5\n"

   "3 5 7     5\n"

   "3 6 8     5\n"

   "4 3 9     3\n"

   "5 7 10    3\n"

   "5 6 11    10\n"

   "5 8 12    10\n"

   "6 8 13    8\n"

   "8 9 14    20\n"

   "8 1 15    5\n"

   "9 5 16    5\n"

   "@attributes\n"

   "source 1\n"

   "target 8\n";

 void checkPreflowCompile()

 {

   typedef int VType;

   typedef concepts::Digraph Digraph;

   typedef Digraph::Node Node;

   typedef Digraph::Arc Arc;

   typedef concepts::ReadMap<Arc,VType> CapMap;

   typedef concepts::ReadWriteMap<Arc,VType> FlowMap;

   typedef concepts::WriteMap<Node,bool> CutMap;

   typedef Elevator<Digraph, Digraph::Node> Elev;

   typedef LinkedElevator<Digraph, Digraph::Node> LinkedElev;

   Digraph g;

   Node n;

   Arc e;

   CapMap cap;

   FlowMap flow;

   CutMap cut;

   VType v;

   bool b;

   typedef Preflow<Digraph, CapMap>

             ::SetFlowMap<FlowMap>

             ::SetElevator<Elev>

             ::SetStandardElevator<LinkedElev>

             ::Create PreflowType;

   PreflowType preflow_test(g, cap, n, n);

   const PreflowType& const_preflow_test = preflow_test;

   const PreflowType::Elevator& elev = const_preflow_test.elevator();

   preflow_test.elevator(const_cast<PreflowType::Elevator&>(elev));

   PreflowType::Tolerance tol = const_preflow_test.tolerance();

   preflow_test.tolerance(tol);

   preflow_test

     .capacityMap(cap)

     .flowMap(flow)

     .source(n)

     .target(n);

   preflow_test.init();

   preflow_test.init(cap);

   preflow_test.startFirstPhase();

   preflow_test.startSecondPhase();

   preflow_test.run();

   preflow_test.runMinCut();

   v = const_preflow_test.flowValue();

   v = const_preflow_test.flow(e);

   const FlowMap& fm = const_preflow_test.flowMap();

   b = const_preflow_test.minCut(n);

   const_preflow_test.minCutMap(cut);

   ignore_unused_variable_warning(fm);

 }

 int cutValue (const SmartDigraph& g,

               const SmartDigraph::NodeMap<bool>& cut,

               const SmartDigraph::ArcMap<int>& cap) {

   int c=0;

   for(SmartDigraph::ArcIt e(g); e!=INVALID; ++e) {

     if (cut[g.source(e)] && !cut[g.target(e)]) c+=cap[e];

   }

   return c;

 }

 bool checkFlow(const SmartDigraph& g,

                const SmartDigraph::ArcMap<int>& flow,

                const SmartDigraph::ArcMap<int>& cap,

                SmartDigraph::Node s, SmartDigraph::Node t) {

   for (SmartDigraph::ArcIt e(g); e != INVALID; ++e) {

     if (flow[e] < 0 || flow[e] > cap[e]) return false;

   }

   for (SmartDigraph::NodeIt n(g); n != INVALID; ++n) {

     if (n == s || n == t) continue;

     int sum = 0;

     for (SmartDigraph::OutArcIt e(g, n); e != INVALID; ++e) {

       sum += flow[e];

     }

     for (SmartDigraph::InArcIt e(g, n); e != INVALID; ++e) {

       sum -= flow[e];

     }

     if (sum != 0) return false;

   }

   return true;

 }

 void initFlowTest()

 {

   DIGRAPH_TYPEDEFS(SmartDigraph);

   SmartDigraph g;

   SmartDigraph::ArcMap<int> cap(g),iflow(g);

   Node s=g.addNode(); Node t=g.addNode();

   Node n1=g.addNode(); Node n2=g.addNode();

   Arc a;

   a=g.addArc(s,n1); cap[a]=20; iflow[a]=20;

   a=g.addArc(n1,n2); cap[a]=10; iflow[a]=0;

   a=g.addArc(n2,t); cap[a]=20; iflow[a]=0;

   Preflow<SmartDigraph> pre(g,cap,s,t);

   pre.init(iflow);

   pre.startFirstPhase();

   check(pre.flowValue() == 10, "The incorrect max flow value.");

   check(pre.minCut(s), "Wrong min cut (Node s).");

   check(pre.minCut(n1), "Wrong min cut (Node n1).");

   check(!pre.minCut(n2), "Wrong min cut (Node n2).");

   check(!pre.minCut(t), "Wrong min cut (Node t).");

 }

 int main() {

   typedef SmartDigraph Digraph;

   typedef Digraph::Node Node;

   typedef Digraph::NodeIt NodeIt;

   typedef Digraph::ArcIt ArcIt;

   typedef Digraph::ArcMap<int> CapMap;

   typedef Digraph::ArcMap<int> FlowMap;

   typedef Digraph::NodeMap<bool> CutMap;

   typedef Preflow<Digraph, CapMap> PType;

   Digraph g;

   Node s, t;

   CapMap cap(g);

   std::istringstream input(test_lgf);

   DigraphReader<Digraph>(g,input).

     arcMap("capacity", cap).

     node("source",s).

     node("target",t).

     run();

   PType preflow_test(g, cap, s, t);

   preflow_test.run();

   check(checkFlow(g, preflow_test.flowMap(), cap, s, t),

         "The flow is not feasible.");

   CutMap min_cut(g);

   preflow_test.minCutMap(min_cut);

   int min_cut_value=cutValue(g,min_cut,cap);

   check(preflow_test.flowValue() == min_cut_value,

         "The max flow value is not equal to the three min cut values.");

   FlowMap flow(g);

   for(ArcIt e(g); e!=INVALID; ++e) flow[e] = preflow_test.flowMap()[e];

   int flow_value=preflow_test.flowValue();

   for(ArcIt e(g); e!=INVALID; ++e) cap[e]=2*cap[e];

   preflow_test.init(flow);

   preflow_test.startFirstPhase();

   CutMap min_cut1(g);

   preflow_test.minCutMap(min_cut1);

   min_cut_value=cutValue(g,min_cut1,cap);

   check(preflow_test.flowValue() == min_cut_value &&

         min_cut_value == 2*flow_value,

         "The max flow value or the min cut value is wrong.");

   preflow_test.startSecondPhase();

   check(checkFlow(g, preflow_test.flowMap(), cap, s, t),

         "The flow is not feasible.");

   CutMap min_cut2(g);

   preflow_test.minCutMap(min_cut2);

   min_cut_value=cutValue(g,min_cut2,cap);

   check(preflow_test.flowValue() == min_cut_value &&

         min_cut_value == 2*flow_value,

         "The max flow value or the three min cut values were not doubled");

   preflow_test.flowMap(flow);

   NodeIt tmp1(g,s);

   ++tmp1;

   if ( tmp1 != INVALID ) s=tmp1;

   NodeIt tmp2(g,t);

   ++tmp2;

   if ( tmp2 != INVALID ) t=tmp2;

   preflow_test.source(s);

   preflow_test.target(t);

   preflow_test.run();

   CutMap min_cut3(g);

   preflow_test.minCutMap(min_cut3);

   min_cut_value=cutValue(g,min_cut3,cap);

   check(preflow_test.flowValue() == min_cut_value,

         "The max flow value or the three min cut values are incorrect.");

   initFlowTest();

   return 0;

 }