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

  *

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

  *

  * Copyright (C) 2003-2008

  * 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 <string>

 #include <vector>

 #include <lemon/concept_check.h>

 #include <lemon/concepts/heap.h>

 #include <lemon/smart_graph.h>

 #include <lemon/lgf_reader.h>

 #include <lemon/dijkstra.h>

 #include <lemon/maps.h>

 #include <lemon/bin_heap.h>

 #include "test_tools.h"

 using namespace lemon;

 using namespace lemon::concepts;

 typedef ListDigraph Digraph;

 DIGRAPH_TYPEDEFS(Digraph);

 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       5       0       94\n"

   "3       9       1       11\n"

   "8       7       2       83\n"

   "1       2       3       94\n"

   "5       7       4       35\n"

   "7       4       5       84\n"

   "9       5       6       38\n"

   "0       4       7       96\n"

   "6       7       8       6\n"

   "3       1       9       27\n"

   "5       2       10      77\n"

   "5       6       11      69\n"

   "6       5       12      41\n"

   "4       6       13      70\n"

   "3       2       14      45\n"

   "7       9       15      93\n"

   "5       9       16      50\n"

   "9       0       17      94\n"

   "9       6       18      67\n"

   "0       9       19      86\n"

   "@attributes\n"

   "source 3\n";

 int test_seq[] = { 2, 28, 19, 27, 33, 25, 13, 41, 10, 26,  1,  9,  4, 34};

 int test_inc[] = {20, 28, 34, 16,  0, 46, 44,  0, 42, 32, 14,  8,  6, 37};

 int test_len = sizeof(test_seq) / sizeof(test_seq[0]);

 template <typename Heap>

 void heapSortTest() {

   RangeMap<int> map(test_len, -1);

   Heap heap(map);

   std::vector<int> v(test_len);

   for (int i = 0; i < test_len; ++i) {

     v[i] = test_seq[i];

     heap.push(i, v[i]);

   }

   std::sort(v.begin(), v.end());

   for (int i = 0; i < test_len; ++i) {

     check(v[i] == heap.prio() ,"Wrong order in heap sort.");

     heap.pop();

   }

 }

 template <typename Heap>

 void heapIncreaseTest() {

   RangeMap<int> map(test_len, -1);

   Heap heap(map);

   std::vector<int> v(test_len);

   for (int i = 0; i < test_len; ++i) {

     v[i] = test_seq[i];

     heap.push(i, v[i]);

   }

   for (int i = 0; i < test_len; ++i) {

     v[i] += test_inc[i];

     heap.increase(i, v[i]);

   }

   std::sort(v.begin(), v.end());

   for (int i = 0; i < test_len; ++i) {

     check(v[i] == heap.prio() ,"Wrong order in heap increase test.");

     heap.pop();

   }

 }

 template <typename Heap>

 void dijkstraHeapTest(const Digraph& digraph, const IntArcMap& length,

                       Node source) {

   typename Dijkstra<Digraph, IntArcMap>::template DefStandardHeap<Heap>::

     Create dijkstra(digraph, length);

   dijkstra.run(source);

   for(ArcIt a(digraph); a != INVALID; ++a) {

     Node s = digraph.source(a);

     Node t = digraph.target(a);

     if (dijkstra.reached(s)) {

       check( dijkstra.dist(t) - dijkstra.dist(s) <= length[a],

              "Error in a shortest path tree!");

     }

   }

   for(NodeIt n(digraph); n != INVALID; ++n) {

     if ( dijkstra.reached(n) && dijkstra.predArc(n) != INVALID ) {

       Arc a = dijkstra.predArc(n);

       Node s = digraph.source(a);

       check( dijkstra.dist(n) - dijkstra.dist(s) == length[a],

              "Error in a shortest path tree!");

     }

   }

 }

 int main() {

   typedef int Item;

   typedef int Prio;

   typedef RangeMap<int> ItemIntMap;

   Digraph digraph;

   IntArcMap length(digraph);

   Node source;

   std::istringstream input(test_lgf);

   digraphReader(input, digraph).

     arcMap("capacity", length).

     node("source", source).

     run();

   {

     typedef BinHeap<Prio, ItemIntMap> IntHeap;

     checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();

     heapSortTest<IntHeap>();

     heapIncreaseTest<IntHeap>();

     typedef BinHeap<Prio, IntNodeMap > NodeHeap;

     checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();

     dijkstraHeapTest<NodeHeap>(digraph, length, source);

   }

   return 0;

 }