3
2
3
21
21
13
12
12
12
| ... | ... |
@@ -39,100 +39,100 @@ |
| 39 | 39 |
|
| 40 | 40 |
if HAVE_CPLEX |
| 41 | 41 |
lemon_libemon_la_SOURCES += lemon/cplex.cc |
| 42 | 42 |
endif |
| 43 | 43 |
|
| 44 | 44 |
if HAVE_SOPLEX |
| 45 | 45 |
lemon_libemon_la_SOURCES += lemon/soplex.cc |
| 46 | 46 |
endif |
| 47 | 47 |
|
| 48 | 48 |
if HAVE_CLP |
| 49 | 49 |
lemon_libemon_la_SOURCES += lemon/clp.cc |
| 50 | 50 |
endif |
| 51 | 51 |
|
| 52 | 52 |
if HAVE_CBC |
| 53 | 53 |
lemon_libemon_la_SOURCES += lemon/cbc.cc |
| 54 | 54 |
endif |
| 55 | 55 |
|
| 56 | 56 |
lemon_HEADERS += \ |
| 57 | 57 |
lemon/adaptors.h \ |
| 58 | 58 |
lemon/arg_parser.h \ |
| 59 | 59 |
lemon/assert.h \ |
| 60 | 60 |
lemon/bellman_ford.h \ |
| 61 | 61 |
lemon/bfs.h \ |
| 62 | 62 |
lemon/bin_heap.h \ |
| 63 |
lemon/ |
|
| 63 |
lemon/binomial_heap.h \ |
|
| 64 | 64 |
lemon/bucket_heap.h \ |
| 65 | 65 |
lemon/capacity_scaling.h \ |
| 66 | 66 |
lemon/cbc.h \ |
| 67 | 67 |
lemon/circulation.h \ |
| 68 | 68 |
lemon/clp.h \ |
| 69 | 69 |
lemon/color.h \ |
| 70 | 70 |
lemon/concept_check.h \ |
| 71 | 71 |
lemon/connectivity.h \ |
| 72 | 72 |
lemon/core.h \ |
| 73 | 73 |
lemon/cost_scaling.h \ |
| 74 | 74 |
lemon/counter.h \ |
| 75 | 75 |
lemon/cplex.h \ |
| 76 | 76 |
lemon/cycle_canceling.h \ |
| 77 | 77 |
lemon/dfs.h \ |
| 78 |
lemon/dheap.h \ |
|
| 78 | 79 |
lemon/dijkstra.h \ |
| 79 | 80 |
lemon/dim2.h \ |
| 80 | 81 |
lemon/dimacs.h \ |
| 81 | 82 |
lemon/edge_set.h \ |
| 82 | 83 |
lemon/elevator.h \ |
| 83 | 84 |
lemon/error.h \ |
| 84 | 85 |
lemon/euler.h \ |
| 85 | 86 |
lemon/fib_heap.h \ |
| 86 |
lemon/fourary_heap.h \ |
|
| 87 | 87 |
lemon/full_graph.h \ |
| 88 | 88 |
lemon/glpk.h \ |
| 89 | 89 |
lemon/gomory_hu.h \ |
| 90 | 90 |
lemon/graph_to_eps.h \ |
| 91 | 91 |
lemon/grid_graph.h \ |
| 92 | 92 |
lemon/hartmann_orlin.h \ |
| 93 | 93 |
lemon/howard.h \ |
| 94 | 94 |
lemon/hypercube_graph.h \ |
| 95 | 95 |
lemon/karp.h \ |
| 96 |
lemon/kary_heap.h \ |
|
| 97 | 96 |
lemon/kruskal.h \ |
| 98 | 97 |
lemon/hao_orlin.h \ |
| 99 | 98 |
lemon/lgf_reader.h \ |
| 100 | 99 |
lemon/lgf_writer.h \ |
| 101 | 100 |
lemon/list_graph.h \ |
| 102 | 101 |
lemon/lp.h \ |
| 103 | 102 |
lemon/lp_base.h \ |
| 104 | 103 |
lemon/lp_skeleton.h \ |
| 105 | 104 |
lemon/maps.h \ |
| 106 | 105 |
lemon/matching.h \ |
| 107 | 106 |
lemon/math.h \ |
| 108 | 107 |
lemon/min_cost_arborescence.h \ |
| 109 | 108 |
lemon/nauty_reader.h \ |
| 110 | 109 |
lemon/network_simplex.h \ |
| 111 | 110 |
lemon/pairing_heap.h \ |
| 112 | 111 |
lemon/path.h \ |
| 113 | 112 |
lemon/planarity.h \ |
| 114 | 113 |
lemon/preflow.h \ |
| 114 |
lemon/quad_heap.h \ |
|
| 115 | 115 |
lemon/radix_heap.h \ |
| 116 | 116 |
lemon/radix_sort.h \ |
| 117 | 117 |
lemon/random.h \ |
| 118 | 118 |
lemon/smart_graph.h \ |
| 119 | 119 |
lemon/soplex.h \ |
| 120 | 120 |
lemon/static_graph.h \ |
| 121 | 121 |
lemon/suurballe.h \ |
| 122 | 122 |
lemon/time_measure.h \ |
| 123 | 123 |
lemon/tolerance.h \ |
| 124 | 124 |
lemon/unionfind.h \ |
| 125 | 125 |
lemon/bits/windows.h |
| 126 | 126 |
|
| 127 | 127 |
bits_HEADERS += \ |
| 128 | 128 |
lemon/bits/alteration_notifier.h \ |
| 129 | 129 |
lemon/bits/array_map.h \ |
| 130 | 130 |
lemon/bits/bezier.h \ |
| 131 | 131 |
lemon/bits/default_map.h \ |
| 132 | 132 |
lemon/bits/edge_set_extender.h \ |
| 133 | 133 |
lemon/bits/enable_if.h \ |
| 134 | 134 |
lemon/bits/graph_adaptor_extender.h \ |
| 135 | 135 |
lemon/bits/graph_extender.h \ |
| 136 | 136 |
lemon/bits/map_extender.h \ |
| 137 | 137 |
lemon/bits/path_dump.h \ |
| 138 | 138 |
lemon/bits/solver_bits.h \ |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2009 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 |
#ifndef LEMON_BINOM_HEAP_H |
|
| 20 |
#define LEMON_BINOM_HEAP_H |
|
| 19 |
#ifndef LEMON_BINOMIAL_HEAP_H |
|
| 20 |
#define LEMON_BINOMIAL_HEAP_H |
|
| 21 | 21 |
|
| 22 | 22 |
///\file |
| 23 | 23 |
///\ingroup heaps |
| 24 | 24 |
///\brief Binomial Heap implementation. |
| 25 | 25 |
|
| 26 | 26 |
#include <vector> |
| 27 | 27 |
#include <utility> |
| 28 | 28 |
#include <functional> |
| 29 | 29 |
#include <lemon/math.h> |
| 30 | 30 |
#include <lemon/counter.h> |
| 31 | 31 |
|
| 32 | 32 |
namespace lemon {
|
| 33 | 33 |
|
| 34 | 34 |
/// \ingroup heaps |
| 35 | 35 |
/// |
| 36 | 36 |
///\brief Binomial heap data structure. |
| 37 | 37 |
/// |
| 38 | 38 |
/// This class implements the \e binomial \e heap data structure. |
| 39 | 39 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
| 40 | 40 |
/// |
| 41 | 41 |
/// The methods \ref increase() and \ref erase() are not efficient |
| 42 | 42 |
/// in a binomial heap. In case of many calls of these operations, |
| 43 | 43 |
/// it is better to use other heap structure, e.g. \ref BinHeap |
| 44 | 44 |
/// "binary heap". |
| 45 | 45 |
/// |
| 46 | 46 |
/// \tparam PR Type of the priorities of the items. |
| 47 | 47 |
/// \tparam IM A read-writable item map with \c int values, used |
| 48 | 48 |
/// internally to handle the cross references. |
| 49 | 49 |
/// \tparam CMP A functor class for comparing the priorities. |
| 50 | 50 |
/// The default is \c std::less<PR>. |
| 51 | 51 |
#ifdef DOXYGEN |
| 52 | 52 |
template <typename PR, typename IM, typename CMP> |
| 53 | 53 |
#else |
| 54 | 54 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
| 55 | 55 |
#endif |
| 56 |
class |
|
| 56 |
class BinomialHeap {
|
|
| 57 | 57 |
public: |
| 58 | 58 |
/// Type of the item-int map. |
| 59 | 59 |
typedef IM ItemIntMap; |
| 60 | 60 |
/// Type of the priorities. |
| 61 | 61 |
typedef PR Prio; |
| 62 | 62 |
/// Type of the items stored in the heap. |
| 63 | 63 |
typedef typename ItemIntMap::Key Item; |
| 64 | 64 |
/// Functor type for comparing the priorities. |
| 65 | 65 |
typedef CMP Compare; |
| 66 | 66 |
|
| 67 | 67 |
/// \brief Type to represent the states of the items. |
| 68 | 68 |
/// |
| 69 | 69 |
/// Each item has a state associated to it. It can be "in heap", |
| 70 | 70 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
| 71 | 71 |
/// heap's point of view, but may be useful to the user. |
| 72 | 72 |
/// |
| 73 | 73 |
/// The item-int map must be initialized in such way that it assigns |
| 74 | 74 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 75 | 75 |
enum State {
|
| 76 | 76 |
IN_HEAP = 0, ///< = 0. |
| 77 | 77 |
PRE_HEAP = -1, ///< = -1. |
| 78 | 78 |
POST_HEAP = -2 ///< = -2. |
| 79 | 79 |
}; |
| 80 | 80 |
|
| 81 | 81 |
private: |
| 82 | 82 |
class Store; |
| 83 | 83 |
|
| 84 | 84 |
std::vector<Store> _data; |
| 85 | 85 |
int _min, _head; |
| 86 | 86 |
ItemIntMap &_iim; |
| 87 | 87 |
Compare _comp; |
| 88 | 88 |
int _num_items; |
| 89 | 89 |
|
| 90 | 90 |
public: |
| 91 | 91 |
/// \brief Constructor. |
| 92 | 92 |
/// |
| 93 | 93 |
/// Constructor. |
| 94 | 94 |
/// \param map A map that assigns \c int values to the items. |
| 95 | 95 |
/// It is used internally to handle the cross references. |
| 96 | 96 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
| 97 |
explicit |
|
| 97 |
explicit BinomialHeap(ItemIntMap &map) |
|
| 98 | 98 |
: _min(0), _head(-1), _iim(map), _num_items(0) {}
|
| 99 | 99 |
|
| 100 | 100 |
/// \brief Constructor. |
| 101 | 101 |
/// |
| 102 | 102 |
/// Constructor. |
| 103 | 103 |
/// \param map A map that assigns \c int values to the items. |
| 104 | 104 |
/// It is used internally to handle the cross references. |
| 105 | 105 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
| 106 | 106 |
/// \param comp The function object used for comparing the priorities. |
| 107 |
|
|
| 107 |
BinomialHeap(ItemIntMap &map, const Compare &comp) |
|
| 108 | 108 |
: _min(0), _head(-1), _iim(map), _comp(comp), _num_items(0) {}
|
| 109 | 109 |
|
| 110 | 110 |
/// \brief The number of items stored in the heap. |
| 111 | 111 |
/// |
| 112 | 112 |
/// This function returns the number of items stored in the heap. |
| 113 | 113 |
int size() const { return _num_items; }
|
| 114 | 114 |
|
| 115 | 115 |
/// \brief Check if the heap is empty. |
| 116 | 116 |
/// |
| 117 | 117 |
/// This function returns \c true if the heap is empty. |
| 118 | 118 |
bool empty() const { return _num_items==0; }
|
| 119 | 119 |
|
| 120 | 120 |
/// \brief Make the heap empty. |
| 121 | 121 |
/// |
| 122 | 122 |
/// This functon makes the heap empty. |
| 123 | 123 |
/// It does not change the cross reference map. If you want to reuse |
| 124 | 124 |
/// a heap that is not surely empty, you should first clear it and |
| 125 | 125 |
/// then you should set the cross reference map to \c PRE_HEAP |
| 126 | 126 |
/// for each item. |
| 127 | 127 |
void clear() {
|
| 128 | 128 |
_data.clear(); _min=0; _num_items=0; _head=-1; |
| 129 | 129 |
} |
| 130 | 130 |
|
| 131 | 131 |
/// \brief Set the priority of an item or insert it, if it is |
| ... | ... |
@@ -403,43 +403,43 @@ |
| 403 | 403 |
} |
| 404 | 404 |
|
| 405 | 405 |
// Lace node a under node b |
| 406 | 406 |
void fuse(int a, int b) {
|
| 407 | 407 |
_data[a].parent=b; |
| 408 | 408 |
_data[a].right_neighbor=_data[b].child; |
| 409 | 409 |
_data[b].child=a; |
| 410 | 410 |
|
| 411 | 411 |
++_data[b].degree; |
| 412 | 412 |
} |
| 413 | 413 |
|
| 414 | 414 |
// Unlace node a (if it has siblings) |
| 415 | 415 |
void unlace(int a) {
|
| 416 | 416 |
int neighb=_data[a].right_neighbor; |
| 417 | 417 |
int other=_head; |
| 418 | 418 |
|
| 419 | 419 |
while( _data[other].right_neighbor!=a ) |
| 420 | 420 |
other=_data[other].right_neighbor; |
| 421 | 421 |
_data[other].right_neighbor=neighb; |
| 422 | 422 |
} |
| 423 | 423 |
|
| 424 | 424 |
private: |
| 425 | 425 |
|
| 426 | 426 |
class Store {
|
| 427 |
friend class |
|
| 427 |
friend class BinomialHeap; |
|
| 428 | 428 |
|
| 429 | 429 |
Item name; |
| 430 | 430 |
int parent; |
| 431 | 431 |
int right_neighbor; |
| 432 | 432 |
int child; |
| 433 | 433 |
int degree; |
| 434 | 434 |
bool in; |
| 435 | 435 |
Prio prio; |
| 436 | 436 |
|
| 437 | 437 |
Store() : parent(-1), right_neighbor(-1), child(-1), degree(0), |
| 438 | 438 |
in(true) {}
|
| 439 | 439 |
}; |
| 440 | 440 |
}; |
| 441 | 441 |
|
| 442 | 442 |
} //namespace lemon |
| 443 | 443 |
|
| 444 |
#endif // |
|
| 444 |
#endif //LEMON_BINOMIAL_HEAP_H |
|
| 445 | 445 |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2009 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 |
#ifndef LEMON_KARY_HEAP_H |
|
| 20 |
#define LEMON_KARY_HEAP_H |
|
| 19 |
#ifndef LEMON_DHEAP_H |
|
| 20 |
#define LEMON_DHEAP_H |
|
| 21 | 21 |
|
| 22 | 22 |
///\ingroup heaps |
| 23 | 23 |
///\file |
| 24 |
///\brief |
|
| 24 |
///\brief D-ary heap implementation. |
|
| 25 | 25 |
|
| 26 | 26 |
#include <vector> |
| 27 | 27 |
#include <utility> |
| 28 | 28 |
#include <functional> |
| 29 | 29 |
|
| 30 | 30 |
namespace lemon {
|
| 31 | 31 |
|
| 32 | 32 |
/// \ingroup heaps |
| 33 | 33 |
/// |
| 34 |
///\brief |
|
| 34 |
///\brief D-ary heap data structure. |
|
| 35 | 35 |
/// |
| 36 |
/// This class implements the \e |
|
| 36 |
/// This class implements the \e D-ary \e heap data structure. |
|
| 37 | 37 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
| 38 | 38 |
/// |
| 39 |
/// The \ref |
|
| 39 |
/// The \ref DHeap "D-ary heap" is a generalization of the |
|
| 40 | 40 |
/// \ref BinHeap "binary heap" structure, its nodes have at most |
| 41 |
/// \c K children, instead of two. |
|
| 42 |
/// \ref BinHeap and \ref FouraryHeap are specialized implementations |
|
| 43 |
/// |
|
| 41 |
/// \c D children, instead of two. |
|
| 42 |
/// \ref BinHeap and \ref QuadHeap are specialized implementations |
|
| 43 |
/// of this structure for <tt>D=2</tt> and <tt>D=4</tt>, respectively. |
|
| 44 | 44 |
/// |
| 45 | 45 |
/// \tparam PR Type of the priorities of the items. |
| 46 | 46 |
/// \tparam IM A read-writable item map with \c int values, used |
| 47 | 47 |
/// internally to handle the cross references. |
| 48 |
/// \tparam |
|
| 48 |
/// \tparam D The degree of the heap, each node have at most \e D |
|
| 49 | 49 |
/// children. The default is 16. Powers of two are suggested to use |
| 50 | 50 |
/// so that the multiplications and divisions needed to traverse the |
| 51 | 51 |
/// nodes of the heap could be performed faster. |
| 52 | 52 |
/// \tparam CMP A functor class for comparing the priorities. |
| 53 | 53 |
/// The default is \c std::less<PR>. |
| 54 | 54 |
/// |
| 55 | 55 |
///\sa BinHeap |
| 56 | 56 |
///\sa FouraryHeap |
| 57 | 57 |
#ifdef DOXYGEN |
| 58 |
template <typename PR, typename IM, int |
|
| 58 |
template <typename PR, typename IM, int D, typename CMP> |
|
| 59 | 59 |
#else |
| 60 |
template <typename PR, typename IM, int |
|
| 60 |
template <typename PR, typename IM, int D = 16, |
|
| 61 | 61 |
typename CMP = std::less<PR> > |
| 62 | 62 |
#endif |
| 63 |
class |
|
| 63 |
class DHeap {
|
|
| 64 | 64 |
public: |
| 65 | 65 |
/// Type of the item-int map. |
| 66 | 66 |
typedef IM ItemIntMap; |
| 67 | 67 |
/// Type of the priorities. |
| 68 | 68 |
typedef PR Prio; |
| 69 | 69 |
/// Type of the items stored in the heap. |
| 70 | 70 |
typedef typename ItemIntMap::Key Item; |
| 71 | 71 |
/// Type of the item-priority pairs. |
| 72 | 72 |
typedef std::pair<Item,Prio> Pair; |
| 73 | 73 |
/// Functor type for comparing the priorities. |
| 74 | 74 |
typedef CMP Compare; |
| 75 | 75 |
|
| 76 | 76 |
/// \brief Type to represent the states of the items. |
| 77 | 77 |
/// |
| 78 | 78 |
/// Each item has a state associated to it. It can be "in heap", |
| 79 | 79 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
| 80 | 80 |
/// heap's point of view, but may be useful to the user. |
| 81 | 81 |
/// |
| 82 | 82 |
/// The item-int map must be initialized in such way that it assigns |
| 83 | 83 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 84 | 84 |
enum State {
|
| 85 | 85 |
IN_HEAP = 0, ///< = 0. |
| 86 | 86 |
PRE_HEAP = -1, ///< = -1. |
| 87 | 87 |
POST_HEAP = -2 ///< = -2. |
| 88 | 88 |
}; |
| 89 | 89 |
|
| 90 | 90 |
private: |
| 91 | 91 |
std::vector<Pair> _data; |
| 92 | 92 |
Compare _comp; |
| 93 | 93 |
ItemIntMap &_iim; |
| 94 | 94 |
|
| 95 | 95 |
public: |
| 96 | 96 |
/// \brief Constructor. |
| 97 | 97 |
/// |
| 98 | 98 |
/// Constructor. |
| 99 | 99 |
/// \param map A map that assigns \c int values to the items. |
| 100 | 100 |
/// It is used internally to handle the cross references. |
| 101 | 101 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
| 102 |
explicit |
|
| 102 |
explicit DHeap(ItemIntMap &map) : _iim(map) {}
|
|
| 103 | 103 |
|
| 104 | 104 |
/// \brief Constructor. |
| 105 | 105 |
/// |
| 106 | 106 |
/// Constructor. |
| 107 | 107 |
/// \param map A map that assigns \c int values to the items. |
| 108 | 108 |
/// It is used internally to handle the cross references. |
| 109 | 109 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
| 110 | 110 |
/// \param comp The function object used for comparing the priorities. |
| 111 |
|
|
| 111 |
DHeap(ItemIntMap &map, const Compare &comp) |
|
| 112 | 112 |
: _iim(map), _comp(comp) {}
|
| 113 | 113 |
|
| 114 | 114 |
/// \brief The number of items stored in the heap. |
| 115 | 115 |
/// |
| 116 | 116 |
/// This function returns the number of items stored in the heap. |
| 117 | 117 |
int size() const { return _data.size(); }
|
| 118 | 118 |
|
| 119 | 119 |
/// \brief Check if the heap is empty. |
| 120 | 120 |
/// |
| 121 | 121 |
/// This function returns \c true if the heap is empty. |
| 122 | 122 |
bool empty() const { return _data.empty(); }
|
| 123 | 123 |
|
| 124 | 124 |
/// \brief Make the heap empty. |
| 125 | 125 |
/// |
| 126 | 126 |
/// This functon makes the heap empty. |
| 127 | 127 |
/// It does not change the cross reference map. If you want to reuse |
| 128 | 128 |
/// a heap that is not surely empty, you should first clear it and |
| 129 | 129 |
/// then you should set the cross reference map to \c PRE_HEAP |
| 130 | 130 |
/// for each item. |
| 131 | 131 |
void clear() { _data.clear(); }
|
| 132 | 132 |
|
| 133 | 133 |
private: |
| 134 |
int parent(int i) { return (i-1)/K; }
|
|
| 135 |
int firstChild(int i) { return K*i+1; }
|
|
| 134 |
int parent(int i) { return (i-1)/D; }
|
|
| 135 |
int firstChild(int i) { return D*i+1; }
|
|
| 136 | 136 |
|
| 137 | 137 |
bool less(const Pair &p1, const Pair &p2) const {
|
| 138 | 138 |
return _comp(p1.second, p2.second); |
| 139 | 139 |
} |
| 140 | 140 |
|
| 141 | 141 |
void bubbleUp(int hole, Pair p) {
|
| 142 | 142 |
int par = parent(hole); |
| 143 | 143 |
while( hole>0 && less(p,_data[par]) ) {
|
| 144 | 144 |
move(_data[par],hole); |
| 145 | 145 |
hole = par; |
| 146 | 146 |
par = parent(hole); |
| 147 | 147 |
} |
| 148 | 148 |
move(p, hole); |
| 149 | 149 |
} |
| 150 | 150 |
|
| 151 | 151 |
void bubbleDown(int hole, Pair p, int length) {
|
| 152 | 152 |
if( length>1 ) {
|
| 153 | 153 |
int child = firstChild(hole); |
| 154 |
while( child+ |
|
| 154 |
while( child+D<=length ) {
|
|
| 155 | 155 |
int min=child; |
| 156 |
for (int i=1; i< |
|
| 156 |
for (int i=1; i<D; ++i) {
|
|
| 157 | 157 |
if( less(_data[child+i], _data[min]) ) |
| 158 | 158 |
min=child+i; |
| 159 | 159 |
} |
| 160 | 160 |
if( !less(_data[min], p) ) |
| 161 | 161 |
goto ok; |
| 162 | 162 |
move(_data[min], hole); |
| 163 | 163 |
hole = min; |
| 164 | 164 |
child = firstChild(hole); |
| 165 | 165 |
} |
| 166 | 166 |
if ( child<length ) {
|
| 167 | 167 |
int min = child; |
| 168 | 168 |
while (++child < length) {
|
| 169 | 169 |
if( less(_data[child], _data[min]) ) |
| 170 | 170 |
min=child; |
| 171 | 171 |
} |
| 172 | 172 |
if( less(_data[min], p) ) {
|
| 173 | 173 |
move(_data[min], hole); |
| 174 | 174 |
hole = min; |
| 175 | 175 |
} |
| 176 | 176 |
} |
| 177 | 177 |
} |
| 178 | 178 |
ok: |
| 179 | 179 |
move(p, hole); |
| 180 | 180 |
} |
| ... | ... |
@@ -324,29 +324,29 @@ |
| 324 | 324 |
case POST_HEAP: |
| 325 | 325 |
case PRE_HEAP: |
| 326 | 326 |
if (state(i) == IN_HEAP) erase(i); |
| 327 | 327 |
_iim[i] = st; |
| 328 | 328 |
break; |
| 329 | 329 |
case IN_HEAP: |
| 330 | 330 |
break; |
| 331 | 331 |
} |
| 332 | 332 |
} |
| 333 | 333 |
|
| 334 | 334 |
/// \brief Replace an item in the heap. |
| 335 | 335 |
/// |
| 336 | 336 |
/// This function replaces item \c i with item \c j. |
| 337 | 337 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
| 338 | 338 |
/// After calling this method, item \c i will be out of the |
| 339 | 339 |
/// heap and \c j will be in the heap with the same prioriority |
| 340 | 340 |
/// as item \c i had before. |
| 341 | 341 |
void replace(const Item& i, const Item& j) {
|
| 342 | 342 |
int idx=_iim[i]; |
| 343 | 343 |
_iim.set(i, _iim[j]); |
| 344 | 344 |
_iim.set(j, idx); |
| 345 | 345 |
_data[idx].first=j; |
| 346 | 346 |
} |
| 347 | 347 |
|
| 348 |
}; // class |
|
| 348 |
}; // class DHeap |
|
| 349 | 349 |
|
| 350 | 350 |
} // namespace lemon |
| 351 | 351 |
|
| 352 |
#endif // |
|
| 352 |
#endif // LEMON_DHEAP_H |
| 1 | 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
| 2 | 2 |
* |
| 3 | 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
| 4 | 4 |
* |
| 5 | 5 |
* Copyright (C) 2003-2009 |
| 6 | 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
| 7 | 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
| 8 | 8 |
* |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 |
#ifndef LEMON_FOURARY_HEAP_H |
|
| 20 |
#define LEMON_FOURARY_HEAP_H |
|
| 19 |
#ifndef LEMON_QUAD_HEAP_H |
|
| 20 |
#define LEMON_QUAD_HEAP_H |
|
| 21 | 21 |
|
| 22 | 22 |
///\ingroup heaps |
| 23 | 23 |
///\file |
| 24 |
///\brief Fourary heap implementation. |
|
| 24 |
///\brief Fourary (quaternary) heap implementation. |
|
| 25 | 25 |
|
| 26 | 26 |
#include <vector> |
| 27 | 27 |
#include <utility> |
| 28 | 28 |
#include <functional> |
| 29 | 29 |
|
| 30 | 30 |
namespace lemon {
|
| 31 | 31 |
|
| 32 | 32 |
/// \ingroup heaps |
| 33 | 33 |
/// |
| 34 |
///\brief Fourary heap data structure. |
|
| 34 |
///\brief Fourary (quaternary) heap data structure. |
|
| 35 | 35 |
/// |
| 36 |
/// This class implements the \e |
|
| 36 |
/// This class implements the \e Fourary (\e quaternary) \e heap |
|
| 37 |
/// data structure. |
|
| 37 | 38 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
| 38 | 39 |
/// |
| 39 |
/// The fourary heap is a specialization of the \ref KaryHeap "K-ary heap" |
|
| 40 |
/// for <tt>K=4</tt>. It is similar to the \ref BinHeap "binary heap", |
|
| 40 |
/// The fourary heap is a specialization of the \ref DHeap "D-ary heap" |
|
| 41 |
/// for <tt>D=4</tt>. It is similar to the \ref BinHeap "binary heap", |
|
| 41 | 42 |
/// but its nodes have at most four children, instead of two. |
| 42 | 43 |
/// |
| 43 | 44 |
/// \tparam PR Type of the priorities of the items. |
| 44 | 45 |
/// \tparam IM A read-writable item map with \c int values, used |
| 45 | 46 |
/// internally to handle the cross references. |
| 46 | 47 |
/// \tparam CMP A functor class for comparing the priorities. |
| 47 | 48 |
/// The default is \c std::less<PR>. |
| 48 | 49 |
/// |
| 49 | 50 |
///\sa BinHeap |
| 50 |
///\sa |
|
| 51 |
///\sa DHeap |
|
| 51 | 52 |
#ifdef DOXYGEN |
| 52 | 53 |
template <typename PR, typename IM, typename CMP> |
| 53 | 54 |
#else |
| 54 | 55 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
| 55 | 56 |
#endif |
| 56 |
class |
|
| 57 |
class QuadHeap {
|
|
| 57 | 58 |
public: |
| 58 | 59 |
/// Type of the item-int map. |
| 59 | 60 |
typedef IM ItemIntMap; |
| 60 | 61 |
/// Type of the priorities. |
| 61 | 62 |
typedef PR Prio; |
| 62 | 63 |
/// Type of the items stored in the heap. |
| 63 | 64 |
typedef typename ItemIntMap::Key Item; |
| 64 | 65 |
/// Type of the item-priority pairs. |
| 65 | 66 |
typedef std::pair<Item,Prio> Pair; |
| 66 | 67 |
/// Functor type for comparing the priorities. |
| 67 | 68 |
typedef CMP Compare; |
| 68 | 69 |
|
| 69 | 70 |
/// \brief Type to represent the states of the items. |
| 70 | 71 |
/// |
| 71 | 72 |
/// Each item has a state associated to it. It can be "in heap", |
| 72 | 73 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
| 73 | 74 |
/// heap's point of view, but may be useful to the user. |
| 74 | 75 |
/// |
| 75 | 76 |
/// The item-int map must be initialized in such way that it assigns |
| 76 | 77 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 77 | 78 |
enum State {
|
| 78 | 79 |
IN_HEAP = 0, ///< = 0. |
| 79 | 80 |
PRE_HEAP = -1, ///< = -1. |
| 80 | 81 |
POST_HEAP = -2 ///< = -2. |
| 81 | 82 |
}; |
| 82 | 83 |
|
| 83 | 84 |
private: |
| 84 | 85 |
std::vector<Pair> _data; |
| 85 | 86 |
Compare _comp; |
| 86 | 87 |
ItemIntMap &_iim; |
| 87 | 88 |
|
| 88 | 89 |
public: |
| 89 | 90 |
/// \brief Constructor. |
| 90 | 91 |
/// |
| 91 | 92 |
/// Constructor. |
| 92 | 93 |
/// \param map A map that assigns \c int values to the items. |
| 93 | 94 |
/// It is used internally to handle the cross references. |
| 94 | 95 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
| 95 |
explicit |
|
| 96 |
explicit QuadHeap(ItemIntMap &map) : _iim(map) {}
|
|
| 96 | 97 |
|
| 97 | 98 |
/// \brief Constructor. |
| 98 | 99 |
/// |
| 99 | 100 |
/// Constructor. |
| 100 | 101 |
/// \param map A map that assigns \c int values to the items. |
| 101 | 102 |
/// It is used internally to handle the cross references. |
| 102 | 103 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
| 103 | 104 |
/// \param comp The function object used for comparing the priorities. |
| 104 |
|
|
| 105 |
QuadHeap(ItemIntMap &map, const Compare &comp) |
|
| 105 | 106 |
: _iim(map), _comp(comp) {}
|
| 106 | 107 |
|
| 107 | 108 |
/// \brief The number of items stored in the heap. |
| 108 | 109 |
/// |
| 109 | 110 |
/// This function returns the number of items stored in the heap. |
| 110 | 111 |
int size() const { return _data.size(); }
|
| 111 | 112 |
|
| 112 | 113 |
/// \brief Check if the heap is empty. |
| 113 | 114 |
/// |
| 114 | 115 |
/// This function returns \c true if the heap is empty. |
| 115 | 116 |
bool empty() const { return _data.empty(); }
|
| 116 | 117 |
|
| 117 | 118 |
/// \brief Make the heap empty. |
| 118 | 119 |
/// |
| 119 | 120 |
/// This functon makes the heap empty. |
| 120 | 121 |
/// It does not change the cross reference map. If you want to reuse |
| 121 | 122 |
/// a heap that is not surely empty, you should first clear it and |
| 122 | 123 |
/// then you should set the cross reference map to \c PRE_HEAP |
| 123 | 124 |
/// for each item. |
| 124 | 125 |
void clear() { _data.clear(); }
|
| 125 | 126 |
|
| 126 | 127 |
private: |
| 127 | 128 |
static int parent(int i) { return (i-1)/4; }
|
| 128 | 129 |
static int firstChild(int i) { return 4*i+1; }
|
| ... | ... |
@@ -314,29 +315,29 @@ |
| 314 | 315 |
case POST_HEAP: |
| 315 | 316 |
case PRE_HEAP: |
| 316 | 317 |
if (state(i) == IN_HEAP) erase(i); |
| 317 | 318 |
_iim[i] = st; |
| 318 | 319 |
break; |
| 319 | 320 |
case IN_HEAP: |
| 320 | 321 |
break; |
| 321 | 322 |
} |
| 322 | 323 |
} |
| 323 | 324 |
|
| 324 | 325 |
/// \brief Replace an item in the heap. |
| 325 | 326 |
/// |
| 326 | 327 |
/// This function replaces item \c i with item \c j. |
| 327 | 328 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
| 328 | 329 |
/// After calling this method, item \c i will be out of the |
| 329 | 330 |
/// heap and \c j will be in the heap with the same prioriority |
| 330 | 331 |
/// as item \c i had before. |
| 331 | 332 |
void replace(const Item& i, const Item& j) {
|
| 332 | 333 |
int idx = _iim[i]; |
| 333 | 334 |
_iim.set(i, _iim[j]); |
| 334 | 335 |
_iim.set(j, idx); |
| 335 | 336 |
_data[idx].first = j; |
| 336 | 337 |
} |
| 337 | 338 |
|
| 338 |
}; // class |
|
| 339 |
}; // class QuadHeap |
|
| 339 | 340 |
|
| 340 | 341 |
} // namespace lemon |
| 341 | 342 |
|
| 342 | 343 |
#endif // LEMON_FOURARY_HEAP_H |
| ... | ... |
@@ -9,54 +9,54 @@ |
| 9 | 9 |
* Permission to use, modify and distribute this software is granted |
| 10 | 10 |
* provided that this copyright notice appears in all copies. For |
| 11 | 11 |
* precise terms see the accompanying LICENSE file. |
| 12 | 12 |
* |
| 13 | 13 |
* This software is provided "AS IS" with no warranty of any kind, |
| 14 | 14 |
* express or implied, and with no claim as to its suitability for any |
| 15 | 15 |
* purpose. |
| 16 | 16 |
* |
| 17 | 17 |
*/ |
| 18 | 18 |
|
| 19 | 19 |
#include <iostream> |
| 20 | 20 |
#include <fstream> |
| 21 | 21 |
#include <string> |
| 22 | 22 |
#include <vector> |
| 23 | 23 |
|
| 24 | 24 |
#include <lemon/concept_check.h> |
| 25 | 25 |
#include <lemon/concepts/heap.h> |
| 26 | 26 |
|
| 27 | 27 |
#include <lemon/smart_graph.h> |
| 28 | 28 |
#include <lemon/lgf_reader.h> |
| 29 | 29 |
#include <lemon/dijkstra.h> |
| 30 | 30 |
#include <lemon/maps.h> |
| 31 | 31 |
|
| 32 | 32 |
#include <lemon/bin_heap.h> |
| 33 |
#include <lemon/fourary_heap.h> |
|
| 34 |
#include <lemon/kary_heap.h> |
|
| 33 |
#include <lemon/quad_heap.h> |
|
| 34 |
#include <lemon/dheap.h> |
|
| 35 | 35 |
#include <lemon/fib_heap.h> |
| 36 | 36 |
#include <lemon/pairing_heap.h> |
| 37 | 37 |
#include <lemon/radix_heap.h> |
| 38 |
#include <lemon/ |
|
| 38 |
#include <lemon/binomial_heap.h> |
|
| 39 | 39 |
#include <lemon/bucket_heap.h> |
| 40 | 40 |
|
| 41 | 41 |
#include "test_tools.h" |
| 42 | 42 |
|
| 43 | 43 |
using namespace lemon; |
| 44 | 44 |
using namespace lemon::concepts; |
| 45 | 45 |
|
| 46 | 46 |
typedef ListDigraph Digraph; |
| 47 | 47 |
DIGRAPH_TYPEDEFS(Digraph); |
| 48 | 48 |
|
| 49 | 49 |
char test_lgf[] = |
| 50 | 50 |
"@nodes\n" |
| 51 | 51 |
"label\n" |
| 52 | 52 |
"0\n" |
| 53 | 53 |
"1\n" |
| 54 | 54 |
"2\n" |
| 55 | 55 |
"3\n" |
| 56 | 56 |
"4\n" |
| 57 | 57 |
"5\n" |
| 58 | 58 |
"6\n" |
| 59 | 59 |
"7\n" |
| 60 | 60 |
"8\n" |
| 61 | 61 |
"9\n" |
| 62 | 62 |
"@arcs\n" |
| ... | ... |
@@ -164,113 +164,113 @@ |
| 164 | 164 |
typedef RangeMap<int> ItemIntMap; |
| 165 | 165 |
|
| 166 | 166 |
Digraph digraph; |
| 167 | 167 |
IntArcMap length(digraph); |
| 168 | 168 |
Node source; |
| 169 | 169 |
|
| 170 | 170 |
std::istringstream input(test_lgf); |
| 171 | 171 |
digraphReader(digraph, input). |
| 172 | 172 |
arcMap("capacity", length).
|
| 173 | 173 |
node("source", source).
|
| 174 | 174 |
run(); |
| 175 | 175 |
|
| 176 | 176 |
// BinHeap |
| 177 | 177 |
{
|
| 178 | 178 |
typedef BinHeap<Prio, ItemIntMap> IntHeap; |
| 179 | 179 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 180 | 180 |
heapSortTest<IntHeap>(); |
| 181 | 181 |
heapIncreaseTest<IntHeap>(); |
| 182 | 182 |
|
| 183 | 183 |
typedef BinHeap<Prio, IntNodeMap > NodeHeap; |
| 184 | 184 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 185 | 185 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 186 | 186 |
} |
| 187 | 187 |
|
| 188 |
// |
|
| 188 |
// QuadHeap |
|
| 189 | 189 |
{
|
| 190 |
typedef |
|
| 190 |
typedef QuadHeap<Prio, ItemIntMap> IntHeap; |
|
| 191 | 191 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 192 | 192 |
heapSortTest<IntHeap>(); |
| 193 | 193 |
heapIncreaseTest<IntHeap>(); |
| 194 | 194 |
|
| 195 |
typedef |
|
| 195 |
typedef QuadHeap<Prio, IntNodeMap > NodeHeap; |
|
| 196 | 196 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 197 | 197 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 198 | 198 |
} |
| 199 | 199 |
|
| 200 |
// |
|
| 200 |
// DHeap |
|
| 201 | 201 |
{
|
| 202 |
typedef |
|
| 202 |
typedef DHeap<Prio, ItemIntMap> IntHeap; |
|
| 203 | 203 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 204 | 204 |
heapSortTest<IntHeap>(); |
| 205 | 205 |
heapIncreaseTest<IntHeap>(); |
| 206 | 206 |
|
| 207 |
typedef |
|
| 207 |
typedef DHeap<Prio, IntNodeMap > NodeHeap; |
|
| 208 | 208 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 209 | 209 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 210 | 210 |
} |
| 211 | 211 |
|
| 212 | 212 |
// FibHeap |
| 213 | 213 |
{
|
| 214 | 214 |
typedef FibHeap<Prio, ItemIntMap> IntHeap; |
| 215 | 215 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 216 | 216 |
heapSortTest<IntHeap>(); |
| 217 | 217 |
heapIncreaseTest<IntHeap>(); |
| 218 | 218 |
|
| 219 | 219 |
typedef FibHeap<Prio, IntNodeMap > NodeHeap; |
| 220 | 220 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 221 | 221 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 222 | 222 |
} |
| 223 | 223 |
|
| 224 | 224 |
// PairingHeap |
| 225 | 225 |
{
|
| 226 | 226 |
typedef PairingHeap<Prio, ItemIntMap> IntHeap; |
| 227 | 227 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 228 | 228 |
heapSortTest<IntHeap>(); |
| 229 | 229 |
heapIncreaseTest<IntHeap>(); |
| 230 | 230 |
|
| 231 | 231 |
typedef PairingHeap<Prio, IntNodeMap > NodeHeap; |
| 232 | 232 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 233 | 233 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 234 | 234 |
} |
| 235 | 235 |
|
| 236 | 236 |
// RadixHeap |
| 237 | 237 |
{
|
| 238 | 238 |
typedef RadixHeap<ItemIntMap> IntHeap; |
| 239 | 239 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 240 | 240 |
heapSortTest<IntHeap>(); |
| 241 | 241 |
heapIncreaseTest<IntHeap>(); |
| 242 | 242 |
|
| 243 | 243 |
typedef RadixHeap<IntNodeMap > NodeHeap; |
| 244 | 244 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 245 | 245 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 246 | 246 |
} |
| 247 | 247 |
|
| 248 |
// |
|
| 248 |
// BinomialHeap |
|
| 249 | 249 |
{
|
| 250 |
typedef |
|
| 250 |
typedef BinomialHeap<Prio, ItemIntMap> IntHeap; |
|
| 251 | 251 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 252 | 252 |
heapSortTest<IntHeap>(); |
| 253 | 253 |
heapIncreaseTest<IntHeap>(); |
| 254 | 254 |
|
| 255 |
typedef |
|
| 255 |
typedef BinomialHeap<Prio, IntNodeMap > NodeHeap; |
|
| 256 | 256 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 257 | 257 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 258 | 258 |
} |
| 259 | 259 |
|
| 260 | 260 |
// BucketHeap, SimpleBucketHeap |
| 261 | 261 |
{
|
| 262 | 262 |
typedef BucketHeap<ItemIntMap> IntHeap; |
| 263 | 263 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 264 | 264 |
heapSortTest<IntHeap>(); |
| 265 | 265 |
heapIncreaseTest<IntHeap>(); |
| 266 | 266 |
|
| 267 | 267 |
typedef BucketHeap<IntNodeMap > NodeHeap; |
| 268 | 268 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 269 | 269 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 270 | 270 |
|
| 271 | 271 |
typedef SimpleBucketHeap<ItemIntMap> SimpleIntHeap; |
| 272 | 272 |
heapSortTest<SimpleIntHeap>(); |
| 273 | 273 |
} |
| 274 | 274 |
|
| 275 | 275 |
return 0; |
| 276 | 276 |
} |
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