Location: LEMON/LEMON-official/test/heap_test.cc - annotation

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kpeter (Peter Kovacs)
Implement the scaling Price Refinement heuristic in CostScaling (#417) instead of Early Termination. These two heuristics are similar, but the newer one is faster and not only makes it possible to skip some epsilon phases, but it can improve the performance of the other phases, as well.
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/* -*- 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 <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 <lemon/quad_heap.h>
#include <lemon/dheap.h>
#include <lemon/fib_heap.h>
#include <lemon/pairing_heap.h>
#include <lemon/radix_heap.h>
#include <lemon/binomial_heap.h>
#include <lemon/bucket_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 SetStandardHeap<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 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 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(digraph, input).
    arcMap("capacity", length).
    node("source", source).
    run();

  // BinHeap
  {
    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);
  }

  // QuadHeap
  {
    typedef QuadHeap<Prio, ItemIntMap> IntHeap;
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
    heapSortTest<IntHeap>();
    heapIncreaseTest<IntHeap>();

    typedef QuadHeap<Prio, IntNodeMap > NodeHeap;
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
  }

  // DHeap
  {
    typedef DHeap<Prio, ItemIntMap> IntHeap;
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
    heapSortTest<IntHeap>();
    heapIncreaseTest<IntHeap>();

    typedef DHeap<Prio, IntNodeMap > NodeHeap;
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
  }

  // FibHeap
  {
    typedef FibHeap<Prio, ItemIntMap> IntHeap;
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
    heapSortTest<IntHeap>();
    heapIncreaseTest<IntHeap>();

    typedef FibHeap<Prio, IntNodeMap > NodeHeap;
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
  }

  // PairingHeap
  {
    typedef PairingHeap<Prio, ItemIntMap> IntHeap;
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
    heapSortTest<IntHeap>();
    heapIncreaseTest<IntHeap>();

    typedef PairingHeap<Prio, IntNodeMap > NodeHeap;
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
  }

  // RadixHeap
  {
    typedef RadixHeap<ItemIntMap> IntHeap;
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
    heapSortTest<IntHeap>();
    heapIncreaseTest<IntHeap>();

    typedef RadixHeap<IntNodeMap > NodeHeap;
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
  }

  // BinomialHeap
  {
    typedef BinomialHeap<Prio, ItemIntMap> IntHeap;
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
    heapSortTest<IntHeap>();
    heapIncreaseTest<IntHeap>();

    typedef BinomialHeap<Prio, IntNodeMap > NodeHeap;
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
    dijkstraHeapTest<NodeHeap>(digraph, length, source);
  }

  // BucketHeap, SimpleBucketHeap
  {
    typedef BucketHeap<ItemIntMap> IntHeap;
    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
    heapSortTest<IntHeap>();
    heapIncreaseTest<IntHeap>();

    typedef BucketHeap<IntNodeMap > NodeHeap;
    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
    dijkstraHeapTest<NodeHeap>(digraph, length, source);

    typedef SimpleBucketHeap<ItemIntMap> SimpleIntHeap;
    heapSortTest<SimpleIntHeap>();
  }

  return 0;
}