test/heap_test.cc
author Peter Kovacs <kpeter@inf.elte.hu>
Fri, 17 Apr 2009 18:04:36 +0200
changeset 609 e6927fe719e6
parent 293 47fbc814aa31
child 681 532697c9fa53
permissions -rw-r--r--
Support >= and <= constraints in NetworkSimplex (#219, #234)

By default the same inequality constraints are supported as by
Circulation (the GEQ form), but the LEQ form can also be selected
using the problemType() function.

The documentation of the min. cost flow module is reworked and
extended with important notes and explanations about the different
variants of the problem and about the dual solution and optimality
conditions.
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/* -*- mode: C++; indent-tabs-mode: nil; -*-
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 *
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 * This file is a part of LEMON, a generic C++ optimization library.
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 *
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 * Copyright (C) 2003-2009
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 * Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport
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 * (Egervary Research Group on Combinatorial Optimization, EGRES).
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 *
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 * Permission to use, modify and distribute this software is granted
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 * provided that this copyright notice appears in all copies. For
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 * precise terms see the accompanying LICENSE file.
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 *
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 * This software is provided "AS IS" with no warranty of any kind,
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 * express or implied, and with no claim as to its suitability for any
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 * purpose.
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 *
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 */
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#include <iostream>
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#include <fstream>
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#include <string>
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#include <vector>
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#include <lemon/concept_check.h>
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#include <lemon/concepts/heap.h>
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#include <lemon/smart_graph.h>
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#include <lemon/lgf_reader.h>
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#include <lemon/dijkstra.h>
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#include <lemon/maps.h>
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#include <lemon/bin_heap.h>
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#include "test_tools.h"
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using namespace lemon;
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using namespace lemon::concepts;
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typedef ListDigraph Digraph;
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DIGRAPH_TYPEDEFS(Digraph);
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char test_lgf[] =
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  "@nodes\n"
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  "label\n"
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  "0\n"
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  "1\n"
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  "2\n"
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  "3\n"
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  "4\n"
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  "5\n"
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  "6\n"
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  "7\n"
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  "8\n"
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  "9\n"
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  "@arcs\n"
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  "                label   capacity\n"
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  "0       5       0       94\n"
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  "3       9       1       11\n"
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  "8       7       2       83\n"
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  "1       2       3       94\n"
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  "5       7       4       35\n"
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  "7       4       5       84\n"
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  "9       5       6       38\n"
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  "0       4       7       96\n"
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  "6       7       8       6\n"
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  "3       1       9       27\n"
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  "5       2       10      77\n"
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  "5       6       11      69\n"
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  "6       5       12      41\n"
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  "4       6       13      70\n"
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  "3       2       14      45\n"
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  "7       9       15      93\n"
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  "5       9       16      50\n"
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  "9       0       17      94\n"
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  "9       6       18      67\n"
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  "0       9       19      86\n"
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  "@attributes\n"
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  "source 3\n";
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int test_seq[] = { 2, 28, 19, 27, 33, 25, 13, 41, 10, 26,  1,  9,  4, 34};
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int test_inc[] = {20, 28, 34, 16,  0, 46, 44,  0, 42, 32, 14,  8,  6, 37};
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int test_len = sizeof(test_seq) / sizeof(test_seq[0]);
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template <typename Heap>
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void heapSortTest() {
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  RangeMap<int> map(test_len, -1);
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  Heap heap(map);
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  std::vector<int> v(test_len);
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  for (int i = 0; i < test_len; ++i) {
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    v[i] = test_seq[i];
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    heap.push(i, v[i]);
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  }
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  std::sort(v.begin(), v.end());
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  for (int i = 0; i < test_len; ++i) {
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    check(v[i] == heap.prio() ,"Wrong order in heap sort.");
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    heap.pop();
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  }
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}
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template <typename Heap>
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void heapIncreaseTest() {
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  RangeMap<int> map(test_len, -1);
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  Heap heap(map);
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  std::vector<int> v(test_len);
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  for (int i = 0; i < test_len; ++i) {
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    v[i] = test_seq[i];
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    heap.push(i, v[i]);
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  }
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  for (int i = 0; i < test_len; ++i) {
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    v[i] += test_inc[i];
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    heap.increase(i, v[i]);
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  }
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  std::sort(v.begin(), v.end());
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  for (int i = 0; i < test_len; ++i) {
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    check(v[i] == heap.prio() ,"Wrong order in heap increase test.");
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    heap.pop();
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  }
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}
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template <typename Heap>
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void dijkstraHeapTest(const Digraph& digraph, const IntArcMap& length,
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                      Node source) {
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  typename Dijkstra<Digraph, IntArcMap>::template SetStandardHeap<Heap>::
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    Create dijkstra(digraph, length);
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  dijkstra.run(source);
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  for(ArcIt a(digraph); a != INVALID; ++a) {
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    Node s = digraph.source(a);
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    Node t = digraph.target(a);
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    if (dijkstra.reached(s)) {
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      check( dijkstra.dist(t) - dijkstra.dist(s) <= length[a],
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             "Error in a shortest path tree!");
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    }
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  }
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  for(NodeIt n(digraph); n != INVALID; ++n) {
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    if ( dijkstra.reached(n) && dijkstra.predArc(n) != INVALID ) {
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      Arc a = dijkstra.predArc(n);
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      Node s = digraph.source(a);
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      check( dijkstra.dist(n) - dijkstra.dist(s) == length[a],
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             "Error in a shortest path tree!");
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    }
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  }
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}
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int main() {
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  typedef int Item;
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  typedef int Prio;
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  typedef RangeMap<int> ItemIntMap;
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  Digraph digraph;
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  IntArcMap length(digraph);
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  Node source;
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  std::istringstream input(test_lgf);
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  digraphReader(digraph, input).
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    arcMap("capacity", length).
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    node("source", source).
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    run();
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  {
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    typedef BinHeap<Prio, ItemIntMap> IntHeap;
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    checkConcept<Heap<Prio, ItemIntMap>, IntHeap>();
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    heapSortTest<IntHeap>();
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    heapIncreaseTest<IntHeap>();
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    typedef BinHeap<Prio, IntNodeMap > NodeHeap;
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    checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>();
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    dijkstraHeapTest<NodeHeap>(digraph, length, source);
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  }
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  return 0;
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}