0
19
6
1100
30
1
110
110
166
139
125
118
943
28
184
179
63
11
| 1 |
/* -*- C++ -*- |
|
| 2 |
* |
|
| 3 |
* This file is a part of LEMON, a generic C++ optimization library |
|
| 4 |
* |
|
| 5 |
* Copyright (C) 2003-2008 |
|
| 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
| 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
| 8 |
* |
|
| 9 |
* Permission to use, modify and distribute this software is granted |
|
| 10 |
* provided that this copyright notice appears in all copies. For |
|
| 11 |
* precise terms see the accompanying LICENSE file. |
|
| 12 |
* |
|
| 13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
| 14 |
* express or implied, and with no claim as to its suitability for any |
|
| 15 |
* purpose. |
|
| 16 |
* |
|
| 17 |
*/ |
|
| 18 |
|
|
| 19 |
#ifndef LEMON_BELLMAN_FORD_H |
|
| 20 |
#define LEMON_BELLMAN_FORD_H |
|
| 21 |
|
|
| 22 |
/// \ingroup shortest_path |
|
| 23 |
/// \file |
|
| 24 |
/// \brief Bellman-Ford algorithm. |
|
| 25 |
|
|
| 26 |
#include <lemon/bits/path_dump.h> |
|
| 27 |
#include <lemon/core.h> |
|
| 28 |
#include <lemon/error.h> |
|
| 29 |
#include <lemon/maps.h> |
|
| 30 |
#include <lemon/path.h> |
|
| 31 |
|
|
| 32 |
#include <limits> |
|
| 33 |
|
|
| 34 |
namespace lemon {
|
|
| 35 |
|
|
| 36 |
/// \brief Default OperationTraits for the BellmanFord algorithm class. |
|
| 37 |
/// |
|
| 38 |
/// This operation traits class defines all computational operations |
|
| 39 |
/// and constants that are used in the Bellman-Ford algorithm. |
|
| 40 |
/// The default implementation is based on the \c numeric_limits class. |
|
| 41 |
/// If the numeric type does not have infinity value, then the maximum |
|
| 42 |
/// value is used as extremal infinity value. |
|
| 43 |
template < |
|
| 44 |
typename V, |
|
| 45 |
bool has_inf = std::numeric_limits<V>::has_infinity> |
|
| 46 |
struct BellmanFordDefaultOperationTraits {
|
|
| 47 |
/// \e |
|
| 48 |
typedef V Value; |
|
| 49 |
/// \brief Gives back the zero value of the type. |
|
| 50 |
static Value zero() {
|
|
| 51 |
return static_cast<Value>(0); |
|
| 52 |
} |
|
| 53 |
/// \brief Gives back the positive infinity value of the type. |
|
| 54 |
static Value infinity() {
|
|
| 55 |
return std::numeric_limits<Value>::infinity(); |
|
| 56 |
} |
|
| 57 |
/// \brief Gives back the sum of the given two elements. |
|
| 58 |
static Value plus(const Value& left, const Value& right) {
|
|
| 59 |
return left + right; |
|
| 60 |
} |
|
| 61 |
/// \brief Gives back \c true only if the first value is less than |
|
| 62 |
/// the second. |
|
| 63 |
static bool less(const Value& left, const Value& right) {
|
|
| 64 |
return left < right; |
|
| 65 |
} |
|
| 66 |
}; |
|
| 67 |
|
|
| 68 |
template <typename V> |
|
| 69 |
struct BellmanFordDefaultOperationTraits<V, false> {
|
|
| 70 |
typedef V Value; |
|
| 71 |
static Value zero() {
|
|
| 72 |
return static_cast<Value>(0); |
|
| 73 |
} |
|
| 74 |
static Value infinity() {
|
|
| 75 |
return std::numeric_limits<Value>::max(); |
|
| 76 |
} |
|
| 77 |
static Value plus(const Value& left, const Value& right) {
|
|
| 78 |
if (left == infinity() || right == infinity()) return infinity(); |
|
| 79 |
return left + right; |
|
| 80 |
} |
|
| 81 |
static bool less(const Value& left, const Value& right) {
|
|
| 82 |
return left < right; |
|
| 83 |
} |
|
| 84 |
}; |
|
| 85 |
|
|
| 86 |
/// \brief Default traits class of BellmanFord class. |
|
| 87 |
/// |
|
| 88 |
/// Default traits class of BellmanFord class. |
|
| 89 |
/// \param GR The type of the digraph. |
|
| 90 |
/// \param LEN The type of the length map. |
|
| 91 |
template<typename GR, typename LEN> |
|
| 92 |
struct BellmanFordDefaultTraits {
|
|
| 93 |
/// The type of the digraph the algorithm runs on. |
|
| 94 |
typedef GR Digraph; |
|
| 95 |
|
|
| 96 |
/// \brief The type of the map that stores the arc lengths. |
|
| 97 |
/// |
|
| 98 |
/// The type of the map that stores the arc lengths. |
|
| 99 |
/// It must conform to the \ref concepts::ReadMap "ReadMap" concept. |
|
| 100 |
typedef LEN LengthMap; |
|
| 101 |
|
|
| 102 |
/// The type of the arc lengths. |
|
| 103 |
typedef typename LEN::Value Value; |
|
| 104 |
|
|
| 105 |
/// \brief Operation traits for Bellman-Ford algorithm. |
|
| 106 |
/// |
|
| 107 |
/// It defines the used operations and the infinity value for the |
|
| 108 |
/// given \c Value type. |
|
| 109 |
/// \see BellmanFordDefaultOperationTraits |
|
| 110 |
typedef BellmanFordDefaultOperationTraits<Value> OperationTraits; |
|
| 111 |
|
|
| 112 |
/// \brief The type of the map that stores the last arcs of the |
|
| 113 |
/// shortest paths. |
|
| 114 |
/// |
|
| 115 |
/// The type of the map that stores the last |
|
| 116 |
/// arcs of the shortest paths. |
|
| 117 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
| 118 |
typedef typename GR::template NodeMap<typename GR::Arc> PredMap; |
|
| 119 |
|
|
| 120 |
/// \brief Instantiates a \c PredMap. |
|
| 121 |
/// |
|
| 122 |
/// This function instantiates a \ref PredMap. |
|
| 123 |
/// \param g is the digraph to which we would like to define the |
|
| 124 |
/// \ref PredMap. |
|
| 125 |
static PredMap *createPredMap(const GR& g) {
|
|
| 126 |
return new PredMap(g); |
|
| 127 |
} |
|
| 128 |
|
|
| 129 |
/// \brief The type of the map that stores the distances of the nodes. |
|
| 130 |
/// |
|
| 131 |
/// The type of the map that stores the distances of the nodes. |
|
| 132 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
| 133 |
typedef typename GR::template NodeMap<typename LEN::Value> DistMap; |
|
| 134 |
|
|
| 135 |
/// \brief Instantiates a \c DistMap. |
|
| 136 |
/// |
|
| 137 |
/// This function instantiates a \ref DistMap. |
|
| 138 |
/// \param g is the digraph to which we would like to define the |
|
| 139 |
/// \ref DistMap. |
|
| 140 |
static DistMap *createDistMap(const GR& g) {
|
|
| 141 |
return new DistMap(g); |
|
| 142 |
} |
|
| 143 |
|
|
| 144 |
}; |
|
| 145 |
|
|
| 146 |
/// \brief %BellmanFord algorithm class. |
|
| 147 |
/// |
|
| 148 |
/// \ingroup shortest_path |
|
| 149 |
/// This class provides an efficient implementation of the Bellman-Ford |
|
| 150 |
/// algorithm. The maximum time complexity of the algorithm is |
|
| 151 |
/// <tt>O(ne)</tt>. |
|
| 152 |
/// |
|
| 153 |
/// The Bellman-Ford algorithm solves the single-source shortest path |
|
| 154 |
/// problem when the arcs can have negative lengths, but the digraph |
|
| 155 |
/// should not contain directed cycles with negative total length. |
|
| 156 |
/// If all arc costs are non-negative, consider to use the Dijkstra |
|
| 157 |
/// algorithm instead, since it is more efficient. |
|
| 158 |
/// |
|
| 159 |
/// The arc lengths are passed to the algorithm using a |
|
| 160 |
/// \ref concepts::ReadMap "ReadMap", so it is easy to change it to any |
|
| 161 |
/// kind of length. The type of the length values is determined by the |
|
| 162 |
/// \ref concepts::ReadMap::Value "Value" type of the length map. |
|
| 163 |
/// |
|
| 164 |
/// There is also a \ref bellmanFord() "function-type interface" for the |
|
| 165 |
/// Bellman-Ford algorithm, which is convenient in the simplier cases and |
|
| 166 |
/// it can be used easier. |
|
| 167 |
/// |
|
| 168 |
/// \tparam GR The type of the digraph the algorithm runs on. |
|
| 169 |
/// The default type is \ref ListDigraph. |
|
| 170 |
/// \tparam LEN A \ref concepts::ReadMap "readable" arc map that specifies |
|
| 171 |
/// the lengths of the arcs. The default map type is |
|
| 172 |
/// \ref concepts::Digraph::ArcMap "GR::ArcMap<int>". |
|
| 173 |
#ifdef DOXYGEN |
|
| 174 |
template <typename GR, typename LEN, typename TR> |
|
| 175 |
#else |
|
| 176 |
template <typename GR=ListDigraph, |
|
| 177 |
typename LEN=typename GR::template ArcMap<int>, |
|
| 178 |
typename TR=BellmanFordDefaultTraits<GR,LEN> > |
|
| 179 |
#endif |
|
| 180 |
class BellmanFord {
|
|
| 181 |
public: |
|
| 182 |
|
|
| 183 |
///The type of the underlying digraph. |
|
| 184 |
typedef typename TR::Digraph Digraph; |
|
| 185 |
|
|
| 186 |
/// \brief The type of the arc lengths. |
|
| 187 |
typedef typename TR::LengthMap::Value Value; |
|
| 188 |
/// \brief The type of the map that stores the arc lengths. |
|
| 189 |
typedef typename TR::LengthMap LengthMap; |
|
| 190 |
/// \brief The type of the map that stores the last |
|
| 191 |
/// arcs of the shortest paths. |
|
| 192 |
typedef typename TR::PredMap PredMap; |
|
| 193 |
/// \brief The type of the map that stores the distances of the nodes. |
|
| 194 |
typedef typename TR::DistMap DistMap; |
|
| 195 |
/// The type of the paths. |
|
| 196 |
typedef PredMapPath<Digraph, PredMap> Path; |
|
| 197 |
///\brief The \ref BellmanFordDefaultOperationTraits |
|
| 198 |
/// "operation traits class" of the algorithm. |
|
| 199 |
typedef typename TR::OperationTraits OperationTraits; |
|
| 200 |
|
|
| 201 |
///The \ref BellmanFordDefaultTraits "traits class" of the algorithm. |
|
| 202 |
typedef TR Traits; |
|
| 203 |
|
|
| 204 |
private: |
|
| 205 |
|
|
| 206 |
typedef typename Digraph::Node Node; |
|
| 207 |
typedef typename Digraph::NodeIt NodeIt; |
|
| 208 |
typedef typename Digraph::Arc Arc; |
|
| 209 |
typedef typename Digraph::OutArcIt OutArcIt; |
|
| 210 |
|
|
| 211 |
// Pointer to the underlying digraph. |
|
| 212 |
const Digraph *_gr; |
|
| 213 |
// Pointer to the length map |
|
| 214 |
const LengthMap *_length; |
|
| 215 |
// Pointer to the map of predecessors arcs. |
|
| 216 |
PredMap *_pred; |
|
| 217 |
// Indicates if _pred is locally allocated (true) or not. |
|
| 218 |
bool _local_pred; |
|
| 219 |
// Pointer to the map of distances. |
|
| 220 |
DistMap *_dist; |
|
| 221 |
// Indicates if _dist is locally allocated (true) or not. |
|
| 222 |
bool _local_dist; |
|
| 223 |
|
|
| 224 |
typedef typename Digraph::template NodeMap<bool> MaskMap; |
|
| 225 |
MaskMap *_mask; |
|
| 226 |
|
|
| 227 |
std::vector<Node> _process; |
|
| 228 |
|
|
| 229 |
// Creates the maps if necessary. |
|
| 230 |
void create_maps() {
|
|
| 231 |
if(!_pred) {
|
|
| 232 |
_local_pred = true; |
|
| 233 |
_pred = Traits::createPredMap(*_gr); |
|
| 234 |
} |
|
| 235 |
if(!_dist) {
|
|
| 236 |
_local_dist = true; |
|
| 237 |
_dist = Traits::createDistMap(*_gr); |
|
| 238 |
} |
|
| 239 |
_mask = new MaskMap(*_gr, false); |
|
| 240 |
} |
|
| 241 |
|
|
| 242 |
public : |
|
| 243 |
|
|
| 244 |
typedef BellmanFord Create; |
|
| 245 |
|
|
| 246 |
/// \name Named Template Parameters |
|
| 247 |
|
|
| 248 |
///@{
|
|
| 249 |
|
|
| 250 |
template <class T> |
|
| 251 |
struct SetPredMapTraits : public Traits {
|
|
| 252 |
typedef T PredMap; |
|
| 253 |
static PredMap *createPredMap(const Digraph&) {
|
|
| 254 |
LEMON_ASSERT(false, "PredMap is not initialized"); |
|
| 255 |
return 0; // ignore warnings |
|
| 256 |
} |
|
| 257 |
}; |
|
| 258 |
|
|
| 259 |
/// \brief \ref named-templ-param "Named parameter" for setting |
|
| 260 |
/// \c PredMap type. |
|
| 261 |
/// |
|
| 262 |
/// \ref named-templ-param "Named parameter" for setting |
|
| 263 |
/// \c PredMap type. |
|
| 264 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
| 265 |
template <class T> |
|
| 266 |
struct SetPredMap |
|
| 267 |
: public BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > {
|
|
| 268 |
typedef BellmanFord< Digraph, LengthMap, SetPredMapTraits<T> > Create; |
|
| 269 |
}; |
|
| 270 |
|
|
| 271 |
template <class T> |
|
| 272 |
struct SetDistMapTraits : public Traits {
|
|
| 273 |
typedef T DistMap; |
|
| 274 |
static DistMap *createDistMap(const Digraph&) {
|
|
| 275 |
LEMON_ASSERT(false, "DistMap is not initialized"); |
|
| 276 |
return 0; // ignore warnings |
|
| 277 |
} |
|
| 278 |
}; |
|
| 279 |
|
|
| 280 |
/// \brief \ref named-templ-param "Named parameter" for setting |
|
| 281 |
/// \c DistMap type. |
|
| 282 |
/// |
|
| 283 |
/// \ref named-templ-param "Named parameter" for setting |
|
| 284 |
/// \c DistMap type. |
|
| 285 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
| 286 |
template <class T> |
|
| 287 |
struct SetDistMap |
|
| 288 |
: public BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > {
|
|
| 289 |
typedef BellmanFord< Digraph, LengthMap, SetDistMapTraits<T> > Create; |
|
| 290 |
}; |
|
| 291 |
|
|
| 292 |
template <class T> |
|
| 293 |
struct SetOperationTraitsTraits : public Traits {
|
|
| 294 |
typedef T OperationTraits; |
|
| 295 |
}; |
|
| 296 |
|
|
| 297 |
/// \brief \ref named-templ-param "Named parameter" for setting |
|
| 298 |
/// \c OperationTraits type. |
|
| 299 |
/// |
|
| 300 |
/// \ref named-templ-param "Named parameter" for setting |
|
| 301 |
/// \c OperationTraits type. |
|
| 302 |
/// For more information see \ref BellmanFordDefaultOperationTraits. |
|
| 303 |
template <class T> |
|
| 304 |
struct SetOperationTraits |
|
| 305 |
: public BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> > {
|
|
| 306 |
typedef BellmanFord< Digraph, LengthMap, SetOperationTraitsTraits<T> > |
|
| 307 |
Create; |
|
| 308 |
}; |
|
| 309 |
|
|
| 310 |
///@} |
|
| 311 |
|
|
| 312 |
protected: |
|
| 313 |
|
|
| 314 |
BellmanFord() {}
|
|
| 315 |
|
|
| 316 |
public: |
|
| 317 |
|
|
| 318 |
/// \brief Constructor. |
|
| 319 |
/// |
|
| 320 |
/// Constructor. |
|
| 321 |
/// \param g The digraph the algorithm runs on. |
|
| 322 |
/// \param length The length map used by the algorithm. |
|
| 323 |
BellmanFord(const Digraph& g, const LengthMap& length) : |
|
| 324 |
_gr(&g), _length(&length), |
|
| 325 |
_pred(0), _local_pred(false), |
|
| 326 |
_dist(0), _local_dist(false), _mask(0) {}
|
|
| 327 |
|
|
| 328 |
///Destructor. |
|
| 329 |
~BellmanFord() {
|
|
| 330 |
if(_local_pred) delete _pred; |
|
| 331 |
if(_local_dist) delete _dist; |
|
| 332 |
if(_mask) delete _mask; |
|
| 333 |
} |
|
| 334 |
|
|
| 335 |
/// \brief Sets the length map. |
|
| 336 |
/// |
|
| 337 |
/// Sets the length map. |
|
| 338 |
/// \return <tt>(*this)</tt> |
|
| 339 |
BellmanFord &lengthMap(const LengthMap &map) {
|
|
| 340 |
_length = ↦ |
|
| 341 |
return *this; |
|
| 342 |
} |
|
| 343 |
|
|
| 344 |
/// \brief Sets the map that stores the predecessor arcs. |
|
| 345 |
/// |
|
| 346 |
/// Sets the map that stores the predecessor arcs. |
|
| 347 |
/// If you don't use this function before calling \ref run() |
|
| 348 |
/// or \ref init(), an instance will be allocated automatically. |
|
| 349 |
/// The destructor deallocates this automatically allocated map, |
|
| 350 |
/// of course. |
|
| 351 |
/// \return <tt>(*this)</tt> |
|
| 352 |
BellmanFord &predMap(PredMap &map) {
|
|
| 353 |
if(_local_pred) {
|
|
| 354 |
delete _pred; |
|
| 355 |
_local_pred=false; |
|
| 356 |
} |
|
| 357 |
_pred = ↦ |
|
| 358 |
return *this; |
|
| 359 |
} |
|
| 360 |
|
|
| 361 |
/// \brief Sets the map that stores the distances of the nodes. |
|
| 362 |
/// |
|
| 363 |
/// Sets the map that stores the distances of the nodes calculated |
|
| 364 |
/// by the algorithm. |
|
| 365 |
/// If you don't use this function before calling \ref run() |
|
| 366 |
/// or \ref init(), an instance will be allocated automatically. |
|
| 367 |
/// The destructor deallocates this automatically allocated map, |
|
| 368 |
/// of course. |
|
| 369 |
/// \return <tt>(*this)</tt> |
|
| 370 |
BellmanFord &distMap(DistMap &map) {
|
|
| 371 |
if(_local_dist) {
|
|
| 372 |
delete _dist; |
|
| 373 |
_local_dist=false; |
|
| 374 |
} |
|
| 375 |
_dist = ↦ |
|
| 376 |
return *this; |
|
| 377 |
} |
|
| 378 |
|
|
| 379 |
/// \name Execution Control |
|
| 380 |
/// The simplest way to execute the Bellman-Ford algorithm is to use |
|
| 381 |
/// one of the member functions called \ref run().\n |
|
| 382 |
/// If you need better control on the execution, you have to call |
|
| 383 |
/// \ref init() first, then you can add several source nodes |
|
| 384 |
/// with \ref addSource(). Finally the actual path computation can be |
|
| 385 |
/// performed with \ref start(), \ref checkedStart() or |
|
| 386 |
/// \ref limitedStart(). |
|
| 387 |
|
|
| 388 |
///@{
|
|
| 389 |
|
|
| 390 |
/// \brief Initializes the internal data structures. |
|
| 391 |
/// |
|
| 392 |
/// Initializes the internal data structures. The optional parameter |
|
| 393 |
/// is the initial distance of each node. |
|
| 394 |
void init(const Value value = OperationTraits::infinity()) {
|
|
| 395 |
create_maps(); |
|
| 396 |
for (NodeIt it(*_gr); it != INVALID; ++it) {
|
|
| 397 |
_pred->set(it, INVALID); |
|
| 398 |
_dist->set(it, value); |
|
| 399 |
} |
|
| 400 |
_process.clear(); |
|
| 401 |
if (OperationTraits::less(value, OperationTraits::infinity())) {
|
|
| 402 |
for (NodeIt it(*_gr); it != INVALID; ++it) {
|
|
| 403 |
_process.push_back(it); |
|
| 404 |
_mask->set(it, true); |
|
| 405 |
} |
|
| 406 |
} |
|
| 407 |
} |
|
| 408 |
|
|
| 409 |
/// \brief Adds a new source node. |
|
| 410 |
/// |
|
| 411 |
/// This function adds a new source node. The optional second parameter |
|
| 412 |
/// is the initial distance of the node. |
|
| 413 |
void addSource(Node source, Value dst = OperationTraits::zero()) {
|
|
| 414 |
_dist->set(source, dst); |
|
| 415 |
if (!(*_mask)[source]) {
|
|
| 416 |
_process.push_back(source); |
|
| 417 |
_mask->set(source, true); |
|
| 418 |
} |
|
| 419 |
} |
|
| 420 |
|
|
| 421 |
/// \brief Executes one round from the Bellman-Ford algorithm. |
|
| 422 |
/// |
|
| 423 |
/// If the algoritm calculated the distances in the previous round |
|
| 424 |
/// exactly for the paths of at most \c k arcs, then this function |
|
| 425 |
/// will calculate the distances exactly for the paths of at most |
|
| 426 |
/// <tt>k+1</tt> arcs. Performing \c k iterations using this function |
|
| 427 |
/// calculates the shortest path distances exactly for the paths |
|
| 428 |
/// consisting of at most \c k arcs. |
|
| 429 |
/// |
|
| 430 |
/// \warning The paths with limited arc number cannot be retrieved |
|
| 431 |
/// easily with \ref path() or \ref predArc() functions. If you also |
|
| 432 |
/// need the shortest paths and not only the distances, you should |
|
| 433 |
/// store the \ref predMap() "predecessor map" after each iteration |
|
| 434 |
/// and build the path manually. |
|
| 435 |
/// |
|
| 436 |
/// \return \c true when the algorithm have not found more shorter |
|
| 437 |
/// paths. |
|
| 438 |
/// |
|
| 439 |
/// \see ActiveIt |
|
| 440 |
bool processNextRound() {
|
|
| 441 |
for (int i = 0; i < int(_process.size()); ++i) {
|
|
| 442 |
_mask->set(_process[i], false); |
|
| 443 |
} |
|
| 444 |
std::vector<Node> nextProcess; |
|
| 445 |
std::vector<Value> values(_process.size()); |
|
| 446 |
for (int i = 0; i < int(_process.size()); ++i) {
|
|
| 447 |
values[i] = (*_dist)[_process[i]]; |
|
| 448 |
} |
|
| 449 |
for (int i = 0; i < int(_process.size()); ++i) {
|
|
| 450 |
for (OutArcIt it(*_gr, _process[i]); it != INVALID; ++it) {
|
|
| 451 |
Node target = _gr->target(it); |
|
| 452 |
Value relaxed = OperationTraits::plus(values[i], (*_length)[it]); |
|
| 453 |
if (OperationTraits::less(relaxed, (*_dist)[target])) {
|
|
| 454 |
_pred->set(target, it); |
|
| 455 |
_dist->set(target, relaxed); |
|
| 456 |
if (!(*_mask)[target]) {
|
|
| 457 |
_mask->set(target, true); |
|
| 458 |
nextProcess.push_back(target); |
|
| 459 |
} |
|
| 460 |
} |
|
| 461 |
} |
|
| 462 |
} |
|
| 463 |
_process.swap(nextProcess); |
|
| 464 |
return _process.empty(); |
|
| 465 |
} |
|
| 466 |
|
|
| 467 |
/// \brief Executes one weak round from the Bellman-Ford algorithm. |
|
| 468 |
/// |
|
| 469 |
/// If the algorithm calculated the distances in the previous round |
|
| 470 |
/// at least for the paths of at most \c k arcs, then this function |
|
| 471 |
/// will calculate the distances at least for the paths of at most |
|
| 472 |
/// <tt>k+1</tt> arcs. |
|
| 473 |
/// This function does not make it possible to calculate the shortest |
|
| 474 |
/// path distances exactly for paths consisting of at most \c k arcs, |
|
| 475 |
/// this is why it is called weak round. |
|
| 476 |
/// |
|
| 477 |
/// \return \c true when the algorithm have not found more shorter |
|
| 478 |
/// paths. |
|
| 479 |
/// |
|
| 480 |
/// \see ActiveIt |
|
| 481 |
bool processNextWeakRound() {
|
|
| 482 |
for (int i = 0; i < int(_process.size()); ++i) {
|
|
| 483 |
_mask->set(_process[i], false); |
|
| 484 |
} |
|
| 485 |
std::vector<Node> nextProcess; |
|
| 486 |
for (int i = 0; i < int(_process.size()); ++i) {
|
|
| 487 |
for (OutArcIt it(*_gr, _process[i]); it != INVALID; ++it) {
|
|
| 488 |
Node target = _gr->target(it); |
|
| 489 |
Value relaxed = |
|
| 490 |
OperationTraits::plus((*_dist)[_process[i]], (*_length)[it]); |
|
| 491 |
if (OperationTraits::less(relaxed, (*_dist)[target])) {
|
|
| 492 |
_pred->set(target, it); |
|
| 493 |
_dist->set(target, relaxed); |
|
| 494 |
if (!(*_mask)[target]) {
|
|
| 495 |
_mask->set(target, true); |
|
| 496 |
nextProcess.push_back(target); |
|
| 497 |
} |
|
| 498 |
} |
|
| 499 |
} |
|
| 500 |
} |
|
| 501 |
_process.swap(nextProcess); |
|
| 502 |
return _process.empty(); |
|
| 503 |
} |
|
| 504 |
|
|
| 505 |
/// \brief Executes the algorithm. |
|
| 506 |
/// |
|
| 507 |
/// Executes the algorithm. |
|
| 508 |
/// |
|
| 509 |
/// This method runs the Bellman-Ford algorithm from the root node(s) |
|
| 510 |
/// in order to compute the shortest path to each node. |
|
| 511 |
/// |
|
| 512 |
/// The algorithm computes |
|
| 513 |
/// - the shortest path tree (forest), |
|
| 514 |
/// - the distance of each node from the root(s). |
|
| 515 |
/// |
|
| 516 |
/// \pre init() must be called and at least one root node should be |
|
| 517 |
/// added with addSource() before using this function. |
|
| 518 |
void start() {
|
|
| 519 |
int num = countNodes(*_gr) - 1; |
|
| 520 |
for (int i = 0; i < num; ++i) {
|
|
| 521 |
if (processNextWeakRound()) break; |
|
| 522 |
} |
|
| 523 |
} |
|
| 524 |
|
|
| 525 |
/// \brief Executes the algorithm and checks the negative cycles. |
|
| 526 |
/// |
|
| 527 |
/// Executes the algorithm and checks the negative cycles. |
|
| 528 |
/// |
|
| 529 |
/// This method runs the Bellman-Ford algorithm from the root node(s) |
|
| 530 |
/// in order to compute the shortest path to each node and also checks |
|
| 531 |
/// if the digraph contains cycles with negative total length. |
|
| 532 |
/// |
|
| 533 |
/// The algorithm computes |
|
| 534 |
/// - the shortest path tree (forest), |
|
| 535 |
/// - the distance of each node from the root(s). |
|
| 536 |
/// |
|
| 537 |
/// \return \c false if there is a negative cycle in the digraph. |
|
| 538 |
/// |
|
| 539 |
/// \pre init() must be called and at least one root node should be |
|
| 540 |
/// added with addSource() before using this function. |
|
| 541 |
bool checkedStart() {
|
|
| 542 |
int num = countNodes(*_gr); |
|
| 543 |
for (int i = 0; i < num; ++i) {
|
|
| 544 |
if (processNextWeakRound()) return true; |
|
| 545 |
} |
|
| 546 |
return _process.empty(); |
|
| 547 |
} |
|
| 548 |
|
|
| 549 |
/// \brief Executes the algorithm with arc number limit. |
|
| 550 |
/// |
|
| 551 |
/// Executes the algorithm with arc number limit. |
|
| 552 |
/// |
|
| 553 |
/// This method runs the Bellman-Ford algorithm from the root node(s) |
|
| 554 |
/// in order to compute the shortest path distance for each node |
|
| 555 |
/// using only the paths consisting of at most \c num arcs. |
|
| 556 |
/// |
|
| 557 |
/// The algorithm computes |
|
| 558 |
/// - the limited distance of each node from the root(s), |
|
| 559 |
/// - the predecessor arc for each node. |
|
| 560 |
/// |
|
| 561 |
/// \warning The paths with limited arc number cannot be retrieved |
|
| 562 |
/// easily with \ref path() or \ref predArc() functions. If you also |
|
| 563 |
/// need the shortest paths and not only the distances, you should |
|
| 564 |
/// store the \ref predMap() "predecessor map" after each iteration |
|
| 565 |
/// and build the path manually. |
|
| 566 |
/// |
|
| 567 |
/// \pre init() must be called and at least one root node should be |
|
| 568 |
/// added with addSource() before using this function. |
|
| 569 |
void limitedStart(int num) {
|
|
| 570 |
for (int i = 0; i < num; ++i) {
|
|
| 571 |
if (processNextRound()) break; |
|
| 572 |
} |
|
| 573 |
} |
|
| 574 |
|
|
| 575 |
/// \brief Runs the algorithm from the given root node. |
|
| 576 |
/// |
|
| 577 |
/// This method runs the Bellman-Ford algorithm from the given root |
|
| 578 |
/// node \c s in order to compute the shortest path to each node. |
|
| 579 |
/// |
|
| 580 |
/// The algorithm computes |
|
| 581 |
/// - the shortest path tree (forest), |
|
| 582 |
/// - the distance of each node from the root(s). |
|
| 583 |
/// |
|
| 584 |
/// \note bf.run(s) is just a shortcut of the following code. |
|
| 585 |
/// \code |
|
| 586 |
/// bf.init(); |
|
| 587 |
/// bf.addSource(s); |
|
| 588 |
/// bf.start(); |
|
| 589 |
/// \endcode |
|
| 590 |
void run(Node s) {
|
|
| 591 |
init(); |
|
| 592 |
addSource(s); |
|
| 593 |
start(); |
|
| 594 |
} |
|
| 595 |
|
|
| 596 |
/// \brief Runs the algorithm from the given root node with arc |
|
| 597 |
/// number limit. |
|
| 598 |
/// |
|
| 599 |
/// This method runs the Bellman-Ford algorithm from the given root |
|
| 600 |
/// node \c s in order to compute the shortest path distance for each |
|
| 601 |
/// node using only the paths consisting of at most \c num arcs. |
|
| 602 |
/// |
|
| 603 |
/// The algorithm computes |
|
| 604 |
/// - the limited distance of each node from the root(s), |
|
| 605 |
/// - the predecessor arc for each node. |
|
| 606 |
/// |
|
| 607 |
/// \warning The paths with limited arc number cannot be retrieved |
|
| 608 |
/// easily with \ref path() or \ref predArc() functions. If you also |
|
| 609 |
/// need the shortest paths and not only the distances, you should |
|
| 610 |
/// store the \ref predMap() "predecessor map" after each iteration |
|
| 611 |
/// and build the path manually. |
|
| 612 |
/// |
|
| 613 |
/// \note bf.run(s, num) is just a shortcut of the following code. |
|
| 614 |
/// \code |
|
| 615 |
/// bf.init(); |
|
| 616 |
/// bf.addSource(s); |
|
| 617 |
/// bf.limitedStart(num); |
|
| 618 |
/// \endcode |
|
| 619 |
void run(Node s, int num) {
|
|
| 620 |
init(); |
|
| 621 |
addSource(s); |
|
| 622 |
limitedStart(num); |
|
| 623 |
} |
|
| 624 |
|
|
| 625 |
///@} |
|
| 626 |
|
|
| 627 |
/// \brief LEMON iterator for getting the active nodes. |
|
| 628 |
/// |
|
| 629 |
/// This class provides a common style LEMON iterator that traverses |
|
| 630 |
/// the active nodes of the Bellman-Ford algorithm after the last |
|
| 631 |
/// phase. These nodes should be checked in the next phase to |
|
| 632 |
/// find augmenting arcs outgoing from them. |
|
| 633 |
class ActiveIt {
|
|
| 634 |
public: |
|
| 635 |
|
|
| 636 |
/// \brief Constructor. |
|
| 637 |
/// |
|
| 638 |
/// Constructor for getting the active nodes of the given BellmanFord |
|
| 639 |
/// instance. |
|
| 640 |
ActiveIt(const BellmanFord& algorithm) : _algorithm(&algorithm) |
|
| 641 |
{
|
|
| 642 |
_index = _algorithm->_process.size() - 1; |
|
| 643 |
} |
|
| 644 |
|
|
| 645 |
/// \brief Invalid constructor. |
|
| 646 |
/// |
|
| 647 |
/// Invalid constructor. |
|
| 648 |
ActiveIt(Invalid) : _algorithm(0), _index(-1) {}
|
|
| 649 |
|
|
| 650 |
/// \brief Conversion to \c Node. |
|
| 651 |
/// |
|
| 652 |
/// Conversion to \c Node. |
|
| 653 |
operator Node() const {
|
|
| 654 |
return _index >= 0 ? _algorithm->_process[_index] : INVALID; |
|
| 655 |
} |
|
| 656 |
|
|
| 657 |
/// \brief Increment operator. |
|
| 658 |
/// |
|
| 659 |
/// Increment operator. |
|
| 660 |
ActiveIt& operator++() {
|
|
| 661 |
--_index; |
|
| 662 |
return *this; |
|
| 663 |
} |
|
| 664 |
|
|
| 665 |
bool operator==(const ActiveIt& it) const {
|
|
| 666 |
return static_cast<Node>(*this) == static_cast<Node>(it); |
|
| 667 |
} |
|
| 668 |
bool operator!=(const ActiveIt& it) const {
|
|
| 669 |
return static_cast<Node>(*this) != static_cast<Node>(it); |
|
| 670 |
} |
|
| 671 |
bool operator<(const ActiveIt& it) const {
|
|
| 672 |
return static_cast<Node>(*this) < static_cast<Node>(it); |
|
| 673 |
} |
|
| 674 |
|
|
| 675 |
private: |
|
| 676 |
const BellmanFord* _algorithm; |
|
| 677 |
int _index; |
|
| 678 |
}; |
|
| 679 |
|
|
| 680 |
/// \name Query Functions |
|
| 681 |
/// The result of the Bellman-Ford algorithm can be obtained using these |
|
| 682 |
/// functions.\n |
|
| 683 |
/// Either \ref run() or \ref init() should be called before using them. |
|
| 684 |
|
|
| 685 |
///@{
|
|
| 686 |
|
|
| 687 |
/// \brief The shortest path to the given node. |
|
| 688 |
/// |
|
| 689 |
/// Gives back the shortest path to the given node from the root(s). |
|
| 690 |
/// |
|
| 691 |
/// \warning \c t should be reached from the root(s). |
|
| 692 |
/// |
|
| 693 |
/// \pre Either \ref run() or \ref init() must be called before |
|
| 694 |
/// using this function. |
|
| 695 |
Path path(Node t) const |
|
| 696 |
{
|
|
| 697 |
return Path(*_gr, *_pred, t); |
|
| 698 |
} |
|
| 699 |
|
|
| 700 |
/// \brief The distance of the given node from the root(s). |
|
| 701 |
/// |
|
| 702 |
/// Returns the distance of the given node from the root(s). |
|
| 703 |
/// |
|
| 704 |
/// \warning If node \c v is not reached from the root(s), then |
|
| 705 |
/// the return value of this function is undefined. |
|
| 706 |
/// |
|
| 707 |
/// \pre Either \ref run() or \ref init() must be called before |
|
| 708 |
/// using this function. |
|
| 709 |
Value dist(Node v) const { return (*_dist)[v]; }
|
|
| 710 |
|
|
| 711 |
/// \brief Returns the 'previous arc' of the shortest path tree for |
|
| 712 |
/// the given node. |
|
| 713 |
/// |
|
| 714 |
/// This function returns the 'previous arc' of the shortest path |
|
| 715 |
/// tree for node \c v, i.e. it returns the last arc of a |
|
| 716 |
/// shortest path from a root to \c v. It is \c INVALID if \c v |
|
| 717 |
/// is not reached from the root(s) or if \c v is a root. |
|
| 718 |
/// |
|
| 719 |
/// The shortest path tree used here is equal to the shortest path |
|
| 720 |
/// tree used in \ref predNode() and \predMap(). |
|
| 721 |
/// |
|
| 722 |
/// \pre Either \ref run() or \ref init() must be called before |
|
| 723 |
/// using this function. |
|
| 724 |
Arc predArc(Node v) const { return (*_pred)[v]; }
|
|
| 725 |
|
|
| 726 |
/// \brief Returns the 'previous node' of the shortest path tree for |
|
| 727 |
/// the given node. |
|
| 728 |
/// |
|
| 729 |
/// This function returns the 'previous node' of the shortest path |
|
| 730 |
/// tree for node \c v, i.e. it returns the last but one node of |
|
| 731 |
/// a shortest path from a root to \c v. It is \c INVALID if \c v |
|
| 732 |
/// is not reached from the root(s) or if \c v is a root. |
|
| 733 |
/// |
|
| 734 |
/// The shortest path tree used here is equal to the shortest path |
|
| 735 |
/// tree used in \ref predArc() and \predMap(). |
|
| 736 |
/// |
|
| 737 |
/// \pre Either \ref run() or \ref init() must be called before |
|
| 738 |
/// using this function. |
|
| 739 |
Node predNode(Node v) const {
|
|
| 740 |
return (*_pred)[v] == INVALID ? INVALID : _gr->source((*_pred)[v]); |
|
| 741 |
} |
|
| 742 |
|
|
| 743 |
/// \brief Returns a const reference to the node map that stores the |
|
| 744 |
/// distances of the nodes. |
|
| 745 |
/// |
|
| 746 |
/// Returns a const reference to the node map that stores the distances |
|
| 747 |
/// of the nodes calculated by the algorithm. |
|
| 748 |
/// |
|
| 749 |
/// \pre Either \ref run() or \ref init() must be called before |
|
| 750 |
/// using this function. |
|
| 751 |
const DistMap &distMap() const { return *_dist;}
|
|
| 752 |
|
|
| 753 |
/// \brief Returns a const reference to the node map that stores the |
|
| 754 |
/// predecessor arcs. |
|
| 755 |
/// |
|
| 756 |
/// Returns a const reference to the node map that stores the predecessor |
|
| 757 |
/// arcs, which form the shortest path tree (forest). |
|
| 758 |
/// |
|
| 759 |
/// \pre Either \ref run() or \ref init() must be called before |
|
| 760 |
/// using this function. |
|
| 761 |
const PredMap &predMap() const { return *_pred; }
|
|
| 762 |
|
|
| 763 |
/// \brief Checks if a node is reached from the root(s). |
|
| 764 |
/// |
|
| 765 |
/// Returns \c true if \c v is reached from the root(s). |
|
| 766 |
/// |
|
| 767 |
/// \pre Either \ref run() or \ref init() must be called before |
|
| 768 |
/// using this function. |
|
| 769 |
bool reached(Node v) const {
|
|
| 770 |
return (*_dist)[v] != OperationTraits::infinity(); |
|
| 771 |
} |
|
| 772 |
|
|
| 773 |
/// \brief Gives back a negative cycle. |
|
| 774 |
/// |
|
| 775 |
/// This function gives back a directed cycle with negative total |
|
| 776 |
/// length if the algorithm has already found one. |
|
| 777 |
/// Otherwise it gives back an empty path. |
|
| 778 |
lemon::Path<Digraph> negativeCycle() {
|
|
| 779 |
typename Digraph::template NodeMap<int> state(*_gr, -1); |
|
| 780 |
lemon::Path<Digraph> cycle; |
|
| 781 |
for (int i = 0; i < int(_process.size()); ++i) {
|
|
| 782 |
if (state[_process[i]] != -1) continue; |
|
| 783 |
for (Node v = _process[i]; (*_pred)[v] != INVALID; |
|
| 784 |
v = _gr->source((*_pred)[v])) {
|
|
| 785 |
if (state[v] == i) {
|
|
| 786 |
cycle.addFront((*_pred)[v]); |
|
| 787 |
for (Node u = _gr->source((*_pred)[v]); u != v; |
|
| 788 |
u = _gr->source((*_pred)[u])) {
|
|
| 789 |
cycle.addFront((*_pred)[u]); |
|
| 790 |
} |
|
| 791 |
return cycle; |
|
| 792 |
} |
|
| 793 |
else if (state[v] >= 0) {
|
|
| 794 |
break; |
|
| 795 |
} |
|
| 796 |
state[v] = i; |
|
| 797 |
} |
|
| 798 |
} |
|
| 799 |
return cycle; |
|
| 800 |
} |
|
| 801 |
|
|
| 802 |
///@} |
|
| 803 |
}; |
|
| 804 |
|
|
| 805 |
/// \brief Default traits class of bellmanFord() function. |
|
| 806 |
/// |
|
| 807 |
/// Default traits class of bellmanFord() function. |
|
| 808 |
/// \tparam GR The type of the digraph. |
|
| 809 |
/// \tparam LEN The type of the length map. |
|
| 810 |
template <typename GR, typename LEN> |
|
| 811 |
struct BellmanFordWizardDefaultTraits {
|
|
| 812 |
/// The type of the digraph the algorithm runs on. |
|
| 813 |
typedef GR Digraph; |
|
| 814 |
|
|
| 815 |
/// \brief The type of the map that stores the arc lengths. |
|
| 816 |
/// |
|
| 817 |
/// The type of the map that stores the arc lengths. |
|
| 818 |
/// It must meet the \ref concepts::ReadMap "ReadMap" concept. |
|
| 819 |
typedef LEN LengthMap; |
|
| 820 |
|
|
| 821 |
/// The type of the arc lengths. |
|
| 822 |
typedef typename LEN::Value Value; |
|
| 823 |
|
|
| 824 |
/// \brief Operation traits for Bellman-Ford algorithm. |
|
| 825 |
/// |
|
| 826 |
/// It defines the used operations and the infinity value for the |
|
| 827 |
/// given \c Value type. |
|
| 828 |
/// \see BellmanFordDefaultOperationTraits |
|
| 829 |
typedef BellmanFordDefaultOperationTraits<Value> OperationTraits; |
|
| 830 |
|
|
| 831 |
/// \brief The type of the map that stores the last |
|
| 832 |
/// arcs of the shortest paths. |
|
| 833 |
/// |
|
| 834 |
/// The type of the map that stores the last arcs of the shortest paths. |
|
| 835 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
| 836 |
typedef typename GR::template NodeMap<typename GR::Arc> PredMap; |
|
| 837 |
|
|
| 838 |
/// \brief Instantiates a \c PredMap. |
|
| 839 |
/// |
|
| 840 |
/// This function instantiates a \ref PredMap. |
|
| 841 |
/// \param g is the digraph to which we would like to define the |
|
| 842 |
/// \ref PredMap. |
|
| 843 |
static PredMap *createPredMap(const GR &g) {
|
|
| 844 |
return new PredMap(g); |
|
| 845 |
} |
|
| 846 |
|
|
| 847 |
/// \brief The type of the map that stores the distances of the nodes. |
|
| 848 |
/// |
|
| 849 |
/// The type of the map that stores the distances of the nodes. |
|
| 850 |
/// It must conform to the \ref concepts::WriteMap "WriteMap" concept. |
|
| 851 |
typedef typename GR::template NodeMap<Value> DistMap; |
|
| 852 |
|
|
| 853 |
/// \brief Instantiates a \c DistMap. |
|
| 854 |
/// |
|
| 855 |
/// This function instantiates a \ref DistMap. |
|
| 856 |
/// \param g is the digraph to which we would like to define the |
|
| 857 |
/// \ref DistMap. |
|
| 858 |
static DistMap *createDistMap(const GR &g) {
|
|
| 859 |
return new DistMap(g); |
|
| 860 |
} |
|
| 861 |
|
|
| 862 |
///The type of the shortest paths. |
|
| 863 |
|
|
| 864 |
///The type of the shortest paths. |
|
| 865 |
///It must meet the \ref concepts::Path "Path" concept. |
|
| 866 |
typedef lemon::Path<Digraph> Path; |
|
| 867 |
}; |
|
| 868 |
|
|
| 869 |
/// \brief Default traits class used by BellmanFordWizard. |
|
| 870 |
/// |
|
| 871 |
/// Default traits class used by BellmanFordWizard. |
|
| 872 |
/// \tparam GR The type of the digraph. |
|
| 873 |
/// \tparam LEN The type of the length map. |
|
| 874 |
template <typename GR, typename LEN> |
|
| 875 |
class BellmanFordWizardBase |
|
| 876 |
: public BellmanFordWizardDefaultTraits<GR, LEN> {
|
|
| 877 |
|
|
| 878 |
typedef BellmanFordWizardDefaultTraits<GR, LEN> Base; |
|
| 879 |
protected: |
|
| 880 |
// Type of the nodes in the digraph. |
|
| 881 |
typedef typename Base::Digraph::Node Node; |
|
| 882 |
|
|
| 883 |
// Pointer to the underlying digraph. |
|
| 884 |
void *_graph; |
|
| 885 |
// Pointer to the length map |
|
| 886 |
void *_length; |
|
| 887 |
// Pointer to the map of predecessors arcs. |
|
| 888 |
void *_pred; |
|
| 889 |
// Pointer to the map of distances. |
|
| 890 |
void *_dist; |
|
| 891 |
//Pointer to the shortest path to the target node. |
|
| 892 |
void *_path; |
|
| 893 |
//Pointer to the distance of the target node. |
|
| 894 |
void *_di; |
|
| 895 |
|
|
| 896 |
public: |
|
| 897 |
/// Constructor. |
|
| 898 |
|
|
| 899 |
/// This constructor does not require parameters, it initiates |
|
| 900 |
/// all of the attributes to default values \c 0. |
|
| 901 |
BellmanFordWizardBase() : |
|
| 902 |
_graph(0), _length(0), _pred(0), _dist(0), _path(0), _di(0) {}
|
|
| 903 |
|
|
| 904 |
/// Constructor. |
|
| 905 |
|
|
| 906 |
/// This constructor requires two parameters, |
|
| 907 |
/// others are initiated to \c 0. |
|
| 908 |
/// \param gr The digraph the algorithm runs on. |
|
| 909 |
/// \param len The length map. |
|
| 910 |
BellmanFordWizardBase(const GR& gr, |
|
| 911 |
const LEN& len) : |
|
| 912 |
_graph(reinterpret_cast<void*>(const_cast<GR*>(&gr))), |
|
| 913 |
_length(reinterpret_cast<void*>(const_cast<LEN*>(&len))), |
|
| 914 |
_pred(0), _dist(0), _path(0), _di(0) {}
|
|
| 915 |
|
|
| 916 |
}; |
|
| 917 |
|
|
| 918 |
/// \brief Auxiliary class for the function-type interface of the |
|
| 919 |
/// \ref BellmanFord "Bellman-Ford" algorithm. |
|
| 920 |
/// |
|
| 921 |
/// This auxiliary class is created to implement the |
|
| 922 |
/// \ref bellmanFord() "function-type interface" of the |
|
| 923 |
/// \ref BellmanFord "Bellman-Ford" algorithm. |
|
| 924 |
/// It does not have own \ref run() method, it uses the |
|
| 925 |
/// functions and features of the plain \ref BellmanFord. |
|
| 926 |
/// |
|
| 927 |
/// This class should only be used through the \ref bellmanFord() |
|
| 928 |
/// function, which makes it easier to use the algorithm. |
|
| 929 |
template<class TR> |
|
| 930 |
class BellmanFordWizard : public TR {
|
|
| 931 |
typedef TR Base; |
|
| 932 |
|
|
| 933 |
typedef typename TR::Digraph Digraph; |
|
| 934 |
|
|
| 935 |
typedef typename Digraph::Node Node; |
|
| 936 |
typedef typename Digraph::NodeIt NodeIt; |
|
| 937 |
typedef typename Digraph::Arc Arc; |
|
| 938 |
typedef typename Digraph::OutArcIt ArcIt; |
|
| 939 |
|
|
| 940 |
typedef typename TR::LengthMap LengthMap; |
|
| 941 |
typedef typename LengthMap::Value Value; |
|
| 942 |
typedef typename TR::PredMap PredMap; |
|
| 943 |
typedef typename TR::DistMap DistMap; |
|
| 944 |
typedef typename TR::Path Path; |
|
| 945 |
|
|
| 946 |
public: |
|
| 947 |
/// Constructor. |
|
| 948 |
BellmanFordWizard() : TR() {}
|
|
| 949 |
|
|
| 950 |
/// \brief Constructor that requires parameters. |
|
| 951 |
/// |
|
| 952 |
/// Constructor that requires parameters. |
|
| 953 |
/// These parameters will be the default values for the traits class. |
|
| 954 |
/// \param gr The digraph the algorithm runs on. |
|
| 955 |
/// \param len The length map. |
|
| 956 |
BellmanFordWizard(const Digraph& gr, const LengthMap& len) |
|
| 957 |
: TR(gr, len) {}
|
|
| 958 |
|
|
| 959 |
/// \brief Copy constructor |
|
| 960 |
BellmanFordWizard(const TR &b) : TR(b) {}
|
|
| 961 |
|
|
| 962 |
~BellmanFordWizard() {}
|
|
| 963 |
|
|
| 964 |
/// \brief Runs the Bellman-Ford algorithm from the given source node. |
|
| 965 |
/// |
|
| 966 |
/// This method runs the Bellman-Ford algorithm from the given source |
|
| 967 |
/// node in order to compute the shortest path to each node. |
|
| 968 |
void run(Node s) {
|
|
| 969 |
BellmanFord<Digraph,LengthMap,TR> |
|
| 970 |
bf(*reinterpret_cast<const Digraph*>(Base::_graph), |
|
| 971 |
*reinterpret_cast<const LengthMap*>(Base::_length)); |
|
| 972 |
if (Base::_pred) bf.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
|
| 973 |
if (Base::_dist) bf.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
|
| 974 |
bf.run(s); |
|
| 975 |
} |
|
| 976 |
|
|
| 977 |
/// \brief Runs the Bellman-Ford algorithm to find the shortest path |
|
| 978 |
/// between \c s and \c t. |
|
| 979 |
/// |
|
| 980 |
/// This method runs the Bellman-Ford algorithm from node \c s |
|
| 981 |
/// in order to compute the shortest path to node \c t. |
|
| 982 |
/// Actually, it computes the shortest path to each node, but using |
|
| 983 |
/// this function you can retrieve the distance and the shortest path |
|
| 984 |
/// for a single target node easier. |
|
| 985 |
/// |
|
| 986 |
/// \return \c true if \c t is reachable form \c s. |
|
| 987 |
bool run(Node s, Node t) {
|
|
| 988 |
BellmanFord<Digraph,LengthMap,TR> |
|
| 989 |
bf(*reinterpret_cast<const Digraph*>(Base::_graph), |
|
| 990 |
*reinterpret_cast<const LengthMap*>(Base::_length)); |
|
| 991 |
if (Base::_pred) bf.predMap(*reinterpret_cast<PredMap*>(Base::_pred)); |
|
| 992 |
if (Base::_dist) bf.distMap(*reinterpret_cast<DistMap*>(Base::_dist)); |
|
| 993 |
bf.run(s); |
|
| 994 |
if (Base::_path) *reinterpret_cast<Path*>(Base::_path) = bf.path(t); |
|
| 995 |
if (Base::_di) *reinterpret_cast<Value*>(Base::_di) = bf.dist(t); |
|
| 996 |
return bf.reached(t); |
|
| 997 |
} |
|
| 998 |
|
|
| 999 |
template<class T> |
|
| 1000 |
struct SetPredMapBase : public Base {
|
|
| 1001 |
typedef T PredMap; |
|
| 1002 |
static PredMap *createPredMap(const Digraph &) { return 0; };
|
|
| 1003 |
SetPredMapBase(const TR &b) : TR(b) {}
|
|
| 1004 |
}; |
|
| 1005 |
|
|
| 1006 |
/// \brief \ref named-templ-param "Named parameter" for setting |
|
| 1007 |
/// the predecessor map. |
|
| 1008 |
/// |
|
| 1009 |
/// \ref named-templ-param "Named parameter" for setting |
|
| 1010 |
/// the map that stores the predecessor arcs of the nodes. |
|
| 1011 |
template<class T> |
|
| 1012 |
BellmanFordWizard<SetPredMapBase<T> > predMap(const T &t) {
|
|
| 1013 |
Base::_pred=reinterpret_cast<void*>(const_cast<T*>(&t)); |
|
| 1014 |
return BellmanFordWizard<SetPredMapBase<T> >(*this); |
|
| 1015 |
} |
|
| 1016 |
|
|
| 1017 |
template<class T> |
|
| 1018 |
struct SetDistMapBase : public Base {
|
|
| 1019 |
typedef T DistMap; |
|
| 1020 |
static DistMap *createDistMap(const Digraph &) { return 0; };
|
|
| 1021 |
SetDistMapBase(const TR &b) : TR(b) {}
|
|
| 1022 |
}; |
|
| 1023 |
|
|
| 1024 |
/// \brief \ref named-templ-param "Named parameter" for setting |
|
| 1025 |
/// the distance map. |
|
| 1026 |
/// |
|
| 1027 |
/// \ref named-templ-param "Named parameter" for setting |
|
| 1028 |
/// the map that stores the distances of the nodes calculated |
|
| 1029 |
/// by the algorithm. |
|
| 1030 |
template<class T> |
|
| 1031 |
BellmanFordWizard<SetDistMapBase<T> > distMap(const T &t) {
|
|
| 1032 |
Base::_dist=reinterpret_cast<void*>(const_cast<T*>(&t)); |
|
| 1033 |
return BellmanFordWizard<SetDistMapBase<T> >(*this); |
|
| 1034 |
} |
|
| 1035 |
|
|
| 1036 |
template<class T> |
|
| 1037 |
struct SetPathBase : public Base {
|
|
| 1038 |
typedef T Path; |
|
| 1039 |
SetPathBase(const TR &b) : TR(b) {}
|
|
| 1040 |
}; |
|
| 1041 |
|
|
| 1042 |
/// \brief \ref named-func-param "Named parameter" for getting |
|
| 1043 |
/// the shortest path to the target node. |
|
| 1044 |
/// |
|
| 1045 |
/// \ref named-func-param "Named parameter" for getting |
|
| 1046 |
/// the shortest path to the target node. |
|
| 1047 |
template<class T> |
|
| 1048 |
BellmanFordWizard<SetPathBase<T> > path(const T &t) |
|
| 1049 |
{
|
|
| 1050 |
Base::_path=reinterpret_cast<void*>(const_cast<T*>(&t)); |
|
| 1051 |
return BellmanFordWizard<SetPathBase<T> >(*this); |
|
| 1052 |
} |
|
| 1053 |
|
|
| 1054 |
/// \brief \ref named-func-param "Named parameter" for getting |
|
| 1055 |
/// the distance of the target node. |
|
| 1056 |
/// |
|
| 1057 |
/// \ref named-func-param "Named parameter" for getting |
|
| 1058 |
/// the distance of the target node. |
|
| 1059 |
BellmanFordWizard dist(const Value &d) |
|
| 1060 |
{
|
|
| 1061 |
Base::_di=reinterpret_cast<void*>(const_cast<Value*>(&d)); |
|
| 1062 |
return *this; |
|
| 1063 |
} |
|
| 1064 |
|
|
| 1065 |
}; |
|
| 1066 |
|
|
| 1067 |
/// \brief Function type interface for the \ref BellmanFord "Bellman-Ford" |
|
| 1068 |
/// algorithm. |
|
| 1069 |
/// |
|
| 1070 |
/// \ingroup shortest_path |
|
| 1071 |
/// Function type interface for the \ref BellmanFord "Bellman-Ford" |
|
| 1072 |
/// algorithm. |
|
| 1073 |
/// |
|
| 1074 |
/// This function also has several \ref named-templ-func-param |
|
| 1075 |
/// "named parameters", they are declared as the members of class |
|
| 1076 |
/// \ref BellmanFordWizard. |
|
| 1077 |
/// The following examples show how to use these parameters. |
|
| 1078 |
/// \code |
|
| 1079 |
/// // Compute shortest path from node s to each node |
|
| 1080 |
/// bellmanFord(g,length).predMap(preds).distMap(dists).run(s); |
|
| 1081 |
/// |
|
| 1082 |
/// // Compute shortest path from s to t |
|
| 1083 |
/// bool reached = bellmanFord(g,length).path(p).dist(d).run(s,t); |
|
| 1084 |
/// \endcode |
|
| 1085 |
/// \warning Don't forget to put the \ref BellmanFordWizard::run() "run()" |
|
| 1086 |
/// to the end of the parameter list. |
|
| 1087 |
/// \sa BellmanFordWizard |
|
| 1088 |
/// \sa BellmanFord |
|
| 1089 |
template<typename GR, typename LEN> |
|
| 1090 |
BellmanFordWizard<BellmanFordWizardBase<GR,LEN> > |
|
| 1091 |
bellmanFord(const GR& digraph, |
|
| 1092 |
const LEN& length) |
|
| 1093 |
{
|
|
| 1094 |
return BellmanFordWizard<BellmanFordWizardBase<GR,LEN> >(digraph, length); |
|
| 1095 |
} |
|
| 1096 |
|
|
| 1097 |
} //END OF NAMESPACE LEMON |
|
| 1098 |
|
|
| 1099 |
#endif |
|
| 1100 |
| 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
| 2 |
* |
|
| 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
| 4 |
* |
|
| 5 |
* Copyright (C) 2003-2009 |
|
| 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
| 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
| 8 |
* |
|
| 9 |
* Permission to use, modify and distribute this software is granted |
|
| 10 |
* provided that this copyright notice appears in all copies. For |
|
| 11 |
* precise terms see the accompanying LICENSE file. |
|
| 12 |
* |
|
| 13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
| 14 |
* express or implied, and with no claim as to its suitability for any |
|
| 15 |
* purpose. |
|
| 16 |
* |
|
| 17 |
*/ |
|
| 18 |
|
|
| 19 |
#ifndef LEMON_BINOM_HEAP_H |
|
| 20 |
#define LEMON_BINOM_HEAP_H |
|
| 21 |
|
|
| 22 |
///\file |
|
| 23 |
///\ingroup heaps |
|
| 24 |
///\brief Binomial Heap implementation. |
|
| 25 |
|
|
| 26 |
#include <vector> |
|
| 27 |
#include <utility> |
|
| 28 |
#include <functional> |
|
| 29 |
#include <lemon/math.h> |
|
| 30 |
#include <lemon/counter.h> |
|
| 31 |
|
|
| 32 |
namespace lemon {
|
|
| 33 |
|
|
| 34 |
/// \ingroup heaps |
|
| 35 |
/// |
|
| 36 |
///\brief Binomial heap data structure. |
|
| 37 |
/// |
|
| 38 |
/// This class implements the \e binomial \e heap data structure. |
|
| 39 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
| 40 |
/// |
|
| 41 |
/// The methods \ref increase() and \ref erase() are not efficient |
|
| 42 |
/// in a binomial heap. In case of many calls of these operations, |
|
| 43 |
/// it is better to use other heap structure, e.g. \ref BinHeap |
|
| 44 |
/// "binary heap". |
|
| 45 |
/// |
|
| 46 |
/// \tparam PR Type of the priorities of the items. |
|
| 47 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 48 |
/// internally to handle the cross references. |
|
| 49 |
/// \tparam CMP A functor class for comparing the priorities. |
|
| 50 |
/// The default is \c std::less<PR>. |
|
| 51 |
#ifdef DOXYGEN |
|
| 52 |
template <typename PR, typename IM, typename CMP> |
|
| 53 |
#else |
|
| 54 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
| 55 |
#endif |
|
| 56 |
class BinomHeap {
|
|
| 57 |
public: |
|
| 58 |
/// Type of the item-int map. |
|
| 59 |
typedef IM ItemIntMap; |
|
| 60 |
/// Type of the priorities. |
|
| 61 |
typedef PR Prio; |
|
| 62 |
/// Type of the items stored in the heap. |
|
| 63 |
typedef typename ItemIntMap::Key Item; |
|
| 64 |
/// Functor type for comparing the priorities. |
|
| 65 |
typedef CMP Compare; |
|
| 66 |
|
|
| 67 |
/// \brief Type to represent the states of the items. |
|
| 68 |
/// |
|
| 69 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 70 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 71 |
/// heap's point of view, but may be useful to the user. |
|
| 72 |
/// |
|
| 73 |
/// The item-int map must be initialized in such way that it assigns |
|
| 74 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
| 75 |
enum State {
|
|
| 76 |
IN_HEAP = 0, ///< = 0. |
|
| 77 |
PRE_HEAP = -1, ///< = -1. |
|
| 78 |
POST_HEAP = -2 ///< = -2. |
|
| 79 |
}; |
|
| 80 |
|
|
| 81 |
private: |
|
| 82 |
class Store; |
|
| 83 |
|
|
| 84 |
std::vector<Store> _data; |
|
| 85 |
int _min, _head; |
|
| 86 |
ItemIntMap &_iim; |
|
| 87 |
Compare _comp; |
|
| 88 |
int _num_items; |
|
| 89 |
|
|
| 90 |
public: |
|
| 91 |
/// \brief Constructor. |
|
| 92 |
/// |
|
| 93 |
/// Constructor. |
|
| 94 |
/// \param map A map that assigns \c int values to the items. |
|
| 95 |
/// It is used internally to handle the cross references. |
|
| 96 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 97 |
explicit BinomHeap(ItemIntMap &map) |
|
| 98 |
: _min(0), _head(-1), _iim(map), _num_items(0) {}
|
|
| 99 |
|
|
| 100 |
/// \brief Constructor. |
|
| 101 |
/// |
|
| 102 |
/// Constructor. |
|
| 103 |
/// \param map A map that assigns \c int values to the items. |
|
| 104 |
/// It is used internally to handle the cross references. |
|
| 105 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 106 |
/// \param comp The function object used for comparing the priorities. |
|
| 107 |
BinomHeap(ItemIntMap &map, const Compare &comp) |
|
| 108 |
: _min(0), _head(-1), _iim(map), _comp(comp), _num_items(0) {}
|
|
| 109 |
|
|
| 110 |
/// \brief The number of items stored in the heap. |
|
| 111 |
/// |
|
| 112 |
/// This function returns the number of items stored in the heap. |
|
| 113 |
int size() const { return _num_items; }
|
|
| 114 |
|
|
| 115 |
/// \brief Check if the heap is empty. |
|
| 116 |
/// |
|
| 117 |
/// This function returns \c true if the heap is empty. |
|
| 118 |
bool empty() const { return _num_items==0; }
|
|
| 119 |
|
|
| 120 |
/// \brief Make the heap empty. |
|
| 121 |
/// |
|
| 122 |
/// This functon makes the heap empty. |
|
| 123 |
/// It does not change the cross reference map. If you want to reuse |
|
| 124 |
/// a heap that is not surely empty, you should first clear it and |
|
| 125 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 126 |
/// for each item. |
|
| 127 |
void clear() {
|
|
| 128 |
_data.clear(); _min=0; _num_items=0; _head=-1; |
|
| 129 |
} |
|
| 130 |
|
|
| 131 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 132 |
/// not stored in the heap. |
|
| 133 |
/// |
|
| 134 |
/// This method sets the priority of the given item if it is |
|
| 135 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 136 |
/// item into the heap with the given priority. |
|
| 137 |
/// \param item The item. |
|
| 138 |
/// \param value The priority. |
|
| 139 |
void set (const Item& item, const Prio& value) {
|
|
| 140 |
int i=_iim[item]; |
|
| 141 |
if ( i >= 0 && _data[i].in ) {
|
|
| 142 |
if ( _comp(value, _data[i].prio) ) decrease(item, value); |
|
| 143 |
if ( _comp(_data[i].prio, value) ) increase(item, value); |
|
| 144 |
} else push(item, value); |
|
| 145 |
} |
|
| 146 |
|
|
| 147 |
/// \brief Insert an item into the heap with the given priority. |
|
| 148 |
/// |
|
| 149 |
/// This function inserts the given item into the heap with the |
|
| 150 |
/// given priority. |
|
| 151 |
/// \param item The item to insert. |
|
| 152 |
/// \param value The priority of the item. |
|
| 153 |
/// \pre \e item must not be stored in the heap. |
|
| 154 |
void push (const Item& item, const Prio& value) {
|
|
| 155 |
int i=_iim[item]; |
|
| 156 |
if ( i<0 ) {
|
|
| 157 |
int s=_data.size(); |
|
| 158 |
_iim.set( item,s ); |
|
| 159 |
Store st; |
|
| 160 |
st.name=item; |
|
| 161 |
st.prio=value; |
|
| 162 |
_data.push_back(st); |
|
| 163 |
i=s; |
|
| 164 |
} |
|
| 165 |
else {
|
|
| 166 |
_data[i].parent=_data[i].right_neighbor=_data[i].child=-1; |
|
| 167 |
_data[i].degree=0; |
|
| 168 |
_data[i].in=true; |
|
| 169 |
_data[i].prio=value; |
|
| 170 |
} |
|
| 171 |
|
|
| 172 |
if( 0==_num_items ) {
|
|
| 173 |
_head=i; |
|
| 174 |
_min=i; |
|
| 175 |
} else {
|
|
| 176 |
merge(i); |
|
| 177 |
if( _comp(_data[i].prio, _data[_min].prio) ) _min=i; |
|
| 178 |
} |
|
| 179 |
++_num_items; |
|
| 180 |
} |
|
| 181 |
|
|
| 182 |
/// \brief Return the item having minimum priority. |
|
| 183 |
/// |
|
| 184 |
/// This function returns the item having minimum priority. |
|
| 185 |
/// \pre The heap must be non-empty. |
|
| 186 |
Item top() const { return _data[_min].name; }
|
|
| 187 |
|
|
| 188 |
/// \brief The minimum priority. |
|
| 189 |
/// |
|
| 190 |
/// This function returns the minimum priority. |
|
| 191 |
/// \pre The heap must be non-empty. |
|
| 192 |
Prio prio() const { return _data[_min].prio; }
|
|
| 193 |
|
|
| 194 |
/// \brief The priority of the given item. |
|
| 195 |
/// |
|
| 196 |
/// This function returns the priority of the given item. |
|
| 197 |
/// \param item The item. |
|
| 198 |
/// \pre \e item must be in the heap. |
|
| 199 |
const Prio& operator[](const Item& item) const {
|
|
| 200 |
return _data[_iim[item]].prio; |
|
| 201 |
} |
|
| 202 |
|
|
| 203 |
/// \brief Remove the item having minimum priority. |
|
| 204 |
/// |
|
| 205 |
/// This function removes the item having minimum priority. |
|
| 206 |
/// \pre The heap must be non-empty. |
|
| 207 |
void pop() {
|
|
| 208 |
_data[_min].in=false; |
|
| 209 |
|
|
| 210 |
int head_child=-1; |
|
| 211 |
if ( _data[_min].child!=-1 ) {
|
|
| 212 |
int child=_data[_min].child; |
|
| 213 |
int neighb; |
|
| 214 |
while( child!=-1 ) {
|
|
| 215 |
neighb=_data[child].right_neighbor; |
|
| 216 |
_data[child].parent=-1; |
|
| 217 |
_data[child].right_neighbor=head_child; |
|
| 218 |
head_child=child; |
|
| 219 |
child=neighb; |
|
| 220 |
} |
|
| 221 |
} |
|
| 222 |
|
|
| 223 |
if ( _data[_head].right_neighbor==-1 ) {
|
|
| 224 |
// there was only one root |
|
| 225 |
_head=head_child; |
|
| 226 |
} |
|
| 227 |
else {
|
|
| 228 |
// there were more roots |
|
| 229 |
if( _head!=_min ) { unlace(_min); }
|
|
| 230 |
else { _head=_data[_head].right_neighbor; }
|
|
| 231 |
merge(head_child); |
|
| 232 |
} |
|
| 233 |
_min=findMin(); |
|
| 234 |
--_num_items; |
|
| 235 |
} |
|
| 236 |
|
|
| 237 |
/// \brief Remove the given item from the heap. |
|
| 238 |
/// |
|
| 239 |
/// This function removes the given item from the heap if it is |
|
| 240 |
/// already stored. |
|
| 241 |
/// \param item The item to delete. |
|
| 242 |
/// \pre \e item must be in the heap. |
|
| 243 |
void erase (const Item& item) {
|
|
| 244 |
int i=_iim[item]; |
|
| 245 |
if ( i >= 0 && _data[i].in ) {
|
|
| 246 |
decrease( item, _data[_min].prio-1 ); |
|
| 247 |
pop(); |
|
| 248 |
} |
|
| 249 |
} |
|
| 250 |
|
|
| 251 |
/// \brief Decrease the priority of an item to the given value. |
|
| 252 |
/// |
|
| 253 |
/// This function decreases the priority of an item to the given value. |
|
| 254 |
/// \param item The item. |
|
| 255 |
/// \param value The priority. |
|
| 256 |
/// \pre \e item must be stored in the heap with priority at least \e value. |
|
| 257 |
void decrease (Item item, const Prio& value) {
|
|
| 258 |
int i=_iim[item]; |
|
| 259 |
int p=_data[i].parent; |
|
| 260 |
_data[i].prio=value; |
|
| 261 |
|
|
| 262 |
while( p!=-1 && _comp(value, _data[p].prio) ) {
|
|
| 263 |
_data[i].name=_data[p].name; |
|
| 264 |
_data[i].prio=_data[p].prio; |
|
| 265 |
_data[p].name=item; |
|
| 266 |
_data[p].prio=value; |
|
| 267 |
_iim[_data[i].name]=i; |
|
| 268 |
i=p; |
|
| 269 |
p=_data[p].parent; |
|
| 270 |
} |
|
| 271 |
_iim[item]=i; |
|
| 272 |
if ( _comp(value, _data[_min].prio) ) _min=i; |
|
| 273 |
} |
|
| 274 |
|
|
| 275 |
/// \brief Increase the priority of an item to the given value. |
|
| 276 |
/// |
|
| 277 |
/// This function increases the priority of an item to the given value. |
|
| 278 |
/// \param item The item. |
|
| 279 |
/// \param value The priority. |
|
| 280 |
/// \pre \e item must be stored in the heap with priority at most \e value. |
|
| 281 |
void increase (Item item, const Prio& value) {
|
|
| 282 |
erase(item); |
|
| 283 |
push(item, value); |
|
| 284 |
} |
|
| 285 |
|
|
| 286 |
/// \brief Return the state of an item. |
|
| 287 |
/// |
|
| 288 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 289 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 290 |
/// and \c POST_HEAP otherwise. |
|
| 291 |
/// In the latter case it is possible that the item will get back |
|
| 292 |
/// to the heap again. |
|
| 293 |
/// \param item The item. |
|
| 294 |
State state(const Item &item) const {
|
|
| 295 |
int i=_iim[item]; |
|
| 296 |
if( i>=0 ) {
|
|
| 297 |
if ( _data[i].in ) i=0; |
|
| 298 |
else i=-2; |
|
| 299 |
} |
|
| 300 |
return State(i); |
|
| 301 |
} |
|
| 302 |
|
|
| 303 |
/// \brief Set the state of an item in the heap. |
|
| 304 |
/// |
|
| 305 |
/// This function sets the state of the given item in the heap. |
|
| 306 |
/// It can be used to manually clear the heap when it is important |
|
| 307 |
/// to achive better time complexity. |
|
| 308 |
/// \param i The item. |
|
| 309 |
/// \param st The state. It should not be \c IN_HEAP. |
|
| 310 |
void state(const Item& i, State st) {
|
|
| 311 |
switch (st) {
|
|
| 312 |
case POST_HEAP: |
|
| 313 |
case PRE_HEAP: |
|
| 314 |
if (state(i) == IN_HEAP) {
|
|
| 315 |
erase(i); |
|
| 316 |
} |
|
| 317 |
_iim[i] = st; |
|
| 318 |
break; |
|
| 319 |
case IN_HEAP: |
|
| 320 |
break; |
|
| 321 |
} |
|
| 322 |
} |
|
| 323 |
|
|
| 324 |
private: |
|
| 325 |
|
|
| 326 |
// Find the minimum of the roots |
|
| 327 |
int findMin() {
|
|
| 328 |
if( _head!=-1 ) {
|
|
| 329 |
int min_loc=_head, min_val=_data[_head].prio; |
|
| 330 |
for( int x=_data[_head].right_neighbor; x!=-1; |
|
| 331 |
x=_data[x].right_neighbor ) {
|
|
| 332 |
if( _comp( _data[x].prio,min_val ) ) {
|
|
| 333 |
min_val=_data[x].prio; |
|
| 334 |
min_loc=x; |
|
| 335 |
} |
|
| 336 |
} |
|
| 337 |
return min_loc; |
|
| 338 |
} |
|
| 339 |
else return -1; |
|
| 340 |
} |
|
| 341 |
|
|
| 342 |
// Merge the heap with another heap starting at the given position |
|
| 343 |
void merge(int a) {
|
|
| 344 |
if( _head==-1 || a==-1 ) return; |
|
| 345 |
if( _data[a].right_neighbor==-1 && |
|
| 346 |
_data[a].degree<=_data[_head].degree ) {
|
|
| 347 |
_data[a].right_neighbor=_head; |
|
| 348 |
_head=a; |
|
| 349 |
} else {
|
|
| 350 |
interleave(a); |
|
| 351 |
} |
|
| 352 |
if( _data[_head].right_neighbor==-1 ) return; |
|
| 353 |
|
|
| 354 |
int x=_head; |
|
| 355 |
int x_prev=-1, x_next=_data[x].right_neighbor; |
|
| 356 |
while( x_next!=-1 ) {
|
|
| 357 |
if( _data[x].degree!=_data[x_next].degree || |
|
| 358 |
( _data[x_next].right_neighbor!=-1 && |
|
| 359 |
_data[_data[x_next].right_neighbor].degree==_data[x].degree ) ) {
|
|
| 360 |
x_prev=x; |
|
| 361 |
x=x_next; |
|
| 362 |
} |
|
| 363 |
else {
|
|
| 364 |
if( _comp(_data[x_next].prio,_data[x].prio) ) {
|
|
| 365 |
if( x_prev==-1 ) {
|
|
| 366 |
_head=x_next; |
|
| 367 |
} else {
|
|
| 368 |
_data[x_prev].right_neighbor=x_next; |
|
| 369 |
} |
|
| 370 |
fuse(x,x_next); |
|
| 371 |
x=x_next; |
|
| 372 |
} |
|
| 373 |
else {
|
|
| 374 |
_data[x].right_neighbor=_data[x_next].right_neighbor; |
|
| 375 |
fuse(x_next,x); |
|
| 376 |
} |
|
| 377 |
} |
|
| 378 |
x_next=_data[x].right_neighbor; |
|
| 379 |
} |
|
| 380 |
} |
|
| 381 |
|
|
| 382 |
// Interleave the elements of the given list into the list of the roots |
|
| 383 |
void interleave(int a) {
|
|
| 384 |
int p=_head, q=a; |
|
| 385 |
int curr=_data.size(); |
|
| 386 |
_data.push_back(Store()); |
|
| 387 |
|
|
| 388 |
while( p!=-1 || q!=-1 ) {
|
|
| 389 |
if( q==-1 || ( p!=-1 && _data[p].degree<_data[q].degree ) ) {
|
|
| 390 |
_data[curr].right_neighbor=p; |
|
| 391 |
curr=p; |
|
| 392 |
p=_data[p].right_neighbor; |
|
| 393 |
} |
|
| 394 |
else {
|
|
| 395 |
_data[curr].right_neighbor=q; |
|
| 396 |
curr=q; |
|
| 397 |
q=_data[q].right_neighbor; |
|
| 398 |
} |
|
| 399 |
} |
|
| 400 |
|
|
| 401 |
_head=_data.back().right_neighbor; |
|
| 402 |
_data.pop_back(); |
|
| 403 |
} |
|
| 404 |
|
|
| 405 |
// Lace node a under node b |
|
| 406 |
void fuse(int a, int b) {
|
|
| 407 |
_data[a].parent=b; |
|
| 408 |
_data[a].right_neighbor=_data[b].child; |
|
| 409 |
_data[b].child=a; |
|
| 410 |
|
|
| 411 |
++_data[b].degree; |
|
| 412 |
} |
|
| 413 |
|
|
| 414 |
// Unlace node a (if it has siblings) |
|
| 415 |
void unlace(int a) {
|
|
| 416 |
int neighb=_data[a].right_neighbor; |
|
| 417 |
int other=_head; |
|
| 418 |
|
|
| 419 |
while( _data[other].right_neighbor!=a ) |
|
| 420 |
other=_data[other].right_neighbor; |
|
| 421 |
_data[other].right_neighbor=neighb; |
|
| 422 |
} |
|
| 423 |
|
|
| 424 |
private: |
|
| 425 |
|
|
| 426 |
class Store {
|
|
| 427 |
friend class BinomHeap; |
|
| 428 |
|
|
| 429 |
Item name; |
|
| 430 |
int parent; |
|
| 431 |
int right_neighbor; |
|
| 432 |
int child; |
|
| 433 |
int degree; |
|
| 434 |
bool in; |
|
| 435 |
Prio prio; |
|
| 436 |
|
|
| 437 |
Store() : parent(-1), right_neighbor(-1), child(-1), degree(0), |
|
| 438 |
in(true) {}
|
|
| 439 |
}; |
|
| 440 |
}; |
|
| 441 |
|
|
| 442 |
} //namespace lemon |
|
| 443 |
|
|
| 444 |
#endif //LEMON_BINOM_HEAP_H |
|
| 445 |
| 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
| 2 |
* |
|
| 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
| 4 |
* |
|
| 5 |
* Copyright (C) 2003-2009 |
|
| 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
| 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
| 8 |
* |
|
| 9 |
* Permission to use, modify and distribute this software is granted |
|
| 10 |
* provided that this copyright notice appears in all copies. For |
|
| 11 |
* precise terms see the accompanying LICENSE file. |
|
| 12 |
* |
|
| 13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
| 14 |
* express or implied, and with no claim as to its suitability for any |
|
| 15 |
* purpose. |
|
| 16 |
* |
|
| 17 |
*/ |
|
| 18 |
|
|
| 19 |
#ifndef LEMON_FOURARY_HEAP_H |
|
| 20 |
#define LEMON_FOURARY_HEAP_H |
|
| 21 |
|
|
| 22 |
///\ingroup heaps |
|
| 23 |
///\file |
|
| 24 |
///\brief Fourary heap implementation. |
|
| 25 |
|
|
| 26 |
#include <vector> |
|
| 27 |
#include <utility> |
|
| 28 |
#include <functional> |
|
| 29 |
|
|
| 30 |
namespace lemon {
|
|
| 31 |
|
|
| 32 |
/// \ingroup heaps |
|
| 33 |
/// |
|
| 34 |
///\brief Fourary heap data structure. |
|
| 35 |
/// |
|
| 36 |
/// This class implements the \e fourary \e heap data structure. |
|
| 37 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
| 38 |
/// |
|
| 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", |
|
| 41 |
/// but its nodes have at most four children, instead of two. |
|
| 42 |
/// |
|
| 43 |
/// \tparam PR Type of the priorities of the items. |
|
| 44 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 45 |
/// internally to handle the cross references. |
|
| 46 |
/// \tparam CMP A functor class for comparing the priorities. |
|
| 47 |
/// The default is \c std::less<PR>. |
|
| 48 |
/// |
|
| 49 |
///\sa BinHeap |
|
| 50 |
///\sa KaryHeap |
|
| 51 |
#ifdef DOXYGEN |
|
| 52 |
template <typename PR, typename IM, typename CMP> |
|
| 53 |
#else |
|
| 54 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
| 55 |
#endif |
|
| 56 |
class FouraryHeap {
|
|
| 57 |
public: |
|
| 58 |
/// Type of the item-int map. |
|
| 59 |
typedef IM ItemIntMap; |
|
| 60 |
/// Type of the priorities. |
|
| 61 |
typedef PR Prio; |
|
| 62 |
/// Type of the items stored in the heap. |
|
| 63 |
typedef typename ItemIntMap::Key Item; |
|
| 64 |
/// Type of the item-priority pairs. |
|
| 65 |
typedef std::pair<Item,Prio> Pair; |
|
| 66 |
/// Functor type for comparing the priorities. |
|
| 67 |
typedef CMP Compare; |
|
| 68 |
|
|
| 69 |
/// \brief Type to represent the states of the items. |
|
| 70 |
/// |
|
| 71 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 72 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 73 |
/// heap's point of view, but may be useful to the user. |
|
| 74 |
/// |
|
| 75 |
/// The item-int map must be initialized in such way that it assigns |
|
| 76 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
| 77 |
enum State {
|
|
| 78 |
IN_HEAP = 0, ///< = 0. |
|
| 79 |
PRE_HEAP = -1, ///< = -1. |
|
| 80 |
POST_HEAP = -2 ///< = -2. |
|
| 81 |
}; |
|
| 82 |
|
|
| 83 |
private: |
|
| 84 |
std::vector<Pair> _data; |
|
| 85 |
Compare _comp; |
|
| 86 |
ItemIntMap &_iim; |
|
| 87 |
|
|
| 88 |
public: |
|
| 89 |
/// \brief Constructor. |
|
| 90 |
/// |
|
| 91 |
/// Constructor. |
|
| 92 |
/// \param map A map that assigns \c int values to the items. |
|
| 93 |
/// It is used internally to handle the cross references. |
|
| 94 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 95 |
explicit FouraryHeap(ItemIntMap &map) : _iim(map) {}
|
|
| 96 |
|
|
| 97 |
/// \brief Constructor. |
|
| 98 |
/// |
|
| 99 |
/// Constructor. |
|
| 100 |
/// \param map A map that assigns \c int values to the items. |
|
| 101 |
/// It is used internally to handle the cross references. |
|
| 102 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 103 |
/// \param comp The function object used for comparing the priorities. |
|
| 104 |
FouraryHeap(ItemIntMap &map, const Compare &comp) |
|
| 105 |
: _iim(map), _comp(comp) {}
|
|
| 106 |
|
|
| 107 |
/// \brief The number of items stored in the heap. |
|
| 108 |
/// |
|
| 109 |
/// This function returns the number of items stored in the heap. |
|
| 110 |
int size() const { return _data.size(); }
|
|
| 111 |
|
|
| 112 |
/// \brief Check if the heap is empty. |
|
| 113 |
/// |
|
| 114 |
/// This function returns \c true if the heap is empty. |
|
| 115 |
bool empty() const { return _data.empty(); }
|
|
| 116 |
|
|
| 117 |
/// \brief Make the heap empty. |
|
| 118 |
/// |
|
| 119 |
/// This functon makes the heap empty. |
|
| 120 |
/// It does not change the cross reference map. If you want to reuse |
|
| 121 |
/// a heap that is not surely empty, you should first clear it and |
|
| 122 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 123 |
/// for each item. |
|
| 124 |
void clear() { _data.clear(); }
|
|
| 125 |
|
|
| 126 |
private: |
|
| 127 |
static int parent(int i) { return (i-1)/4; }
|
|
| 128 |
static int firstChild(int i) { return 4*i+1; }
|
|
| 129 |
|
|
| 130 |
bool less(const Pair &p1, const Pair &p2) const {
|
|
| 131 |
return _comp(p1.second, p2.second); |
|
| 132 |
} |
|
| 133 |
|
|
| 134 |
void bubbleUp(int hole, Pair p) {
|
|
| 135 |
int par = parent(hole); |
|
| 136 |
while( hole>0 && less(p,_data[par]) ) {
|
|
| 137 |
move(_data[par],hole); |
|
| 138 |
hole = par; |
|
| 139 |
par = parent(hole); |
|
| 140 |
} |
|
| 141 |
move(p, hole); |
|
| 142 |
} |
|
| 143 |
|
|
| 144 |
void bubbleDown(int hole, Pair p, int length) {
|
|
| 145 |
if( length>1 ) {
|
|
| 146 |
int child = firstChild(hole); |
|
| 147 |
while( child+3<length ) {
|
|
| 148 |
int min=child; |
|
| 149 |
if( less(_data[++child], _data[min]) ) min=child; |
|
| 150 |
if( less(_data[++child], _data[min]) ) min=child; |
|
| 151 |
if( less(_data[++child], _data[min]) ) min=child; |
|
| 152 |
if( !less(_data[min], p) ) |
|
| 153 |
goto ok; |
|
| 154 |
move(_data[min], hole); |
|
| 155 |
hole = min; |
|
| 156 |
child = firstChild(hole); |
|
| 157 |
} |
|
| 158 |
if ( child<length ) {
|
|
| 159 |
int min = child; |
|
| 160 |
if( ++child<length && less(_data[child], _data[min]) ) min=child; |
|
| 161 |
if( ++child<length && less(_data[child], _data[min]) ) min=child; |
|
| 162 |
if( less(_data[min], p) ) {
|
|
| 163 |
move(_data[min], hole); |
|
| 164 |
hole = min; |
|
| 165 |
} |
|
| 166 |
} |
|
| 167 |
} |
|
| 168 |
ok: |
|
| 169 |
move(p, hole); |
|
| 170 |
} |
|
| 171 |
|
|
| 172 |
void move(const Pair &p, int i) {
|
|
| 173 |
_data[i] = p; |
|
| 174 |
_iim.set(p.first, i); |
|
| 175 |
} |
|
| 176 |
|
|
| 177 |
public: |
|
| 178 |
/// \brief Insert a pair of item and priority into the heap. |
|
| 179 |
/// |
|
| 180 |
/// This function inserts \c p.first to the heap with priority |
|
| 181 |
/// \c p.second. |
|
| 182 |
/// \param p The pair to insert. |
|
| 183 |
/// \pre \c p.first must not be stored in the heap. |
|
| 184 |
void push(const Pair &p) {
|
|
| 185 |
int n = _data.size(); |
|
| 186 |
_data.resize(n+1); |
|
| 187 |
bubbleUp(n, p); |
|
| 188 |
} |
|
| 189 |
|
|
| 190 |
/// \brief Insert an item into the heap with the given priority. |
|
| 191 |
/// |
|
| 192 |
/// This function inserts the given item into the heap with the |
|
| 193 |
/// given priority. |
|
| 194 |
/// \param i The item to insert. |
|
| 195 |
/// \param p The priority of the item. |
|
| 196 |
/// \pre \e i must not be stored in the heap. |
|
| 197 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
|
|
| 198 |
|
|
| 199 |
/// \brief Return the item having minimum priority. |
|
| 200 |
/// |
|
| 201 |
/// This function returns the item having minimum priority. |
|
| 202 |
/// \pre The heap must be non-empty. |
|
| 203 |
Item top() const { return _data[0].first; }
|
|
| 204 |
|
|
| 205 |
/// \brief The minimum priority. |
|
| 206 |
/// |
|
| 207 |
/// This function returns the minimum priority. |
|
| 208 |
/// \pre The heap must be non-empty. |
|
| 209 |
Prio prio() const { return _data[0].second; }
|
|
| 210 |
|
|
| 211 |
/// \brief Remove the item having minimum priority. |
|
| 212 |
/// |
|
| 213 |
/// This function removes the item having minimum priority. |
|
| 214 |
/// \pre The heap must be non-empty. |
|
| 215 |
void pop() {
|
|
| 216 |
int n = _data.size()-1; |
|
| 217 |
_iim.set(_data[0].first, POST_HEAP); |
|
| 218 |
if (n>0) bubbleDown(0, _data[n], n); |
|
| 219 |
_data.pop_back(); |
|
| 220 |
} |
|
| 221 |
|
|
| 222 |
/// \brief Remove the given item from the heap. |
|
| 223 |
/// |
|
| 224 |
/// This function removes the given item from the heap if it is |
|
| 225 |
/// already stored. |
|
| 226 |
/// \param i The item to delete. |
|
| 227 |
/// \pre \e i must be in the heap. |
|
| 228 |
void erase(const Item &i) {
|
|
| 229 |
int h = _iim[i]; |
|
| 230 |
int n = _data.size()-1; |
|
| 231 |
_iim.set(_data[h].first, POST_HEAP); |
|
| 232 |
if( h<n ) {
|
|
| 233 |
if( less(_data[parent(h)], _data[n]) ) |
|
| 234 |
bubbleDown(h, _data[n], n); |
|
| 235 |
else |
|
| 236 |
bubbleUp(h, _data[n]); |
|
| 237 |
} |
|
| 238 |
_data.pop_back(); |
|
| 239 |
} |
|
| 240 |
|
|
| 241 |
/// \brief The priority of the given item. |
|
| 242 |
/// |
|
| 243 |
/// This function returns the priority of the given item. |
|
| 244 |
/// \param i The item. |
|
| 245 |
/// \pre \e i must be in the heap. |
|
| 246 |
Prio operator[](const Item &i) const {
|
|
| 247 |
int idx = _iim[i]; |
|
| 248 |
return _data[idx].second; |
|
| 249 |
} |
|
| 250 |
|
|
| 251 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 252 |
/// not stored in the heap. |
|
| 253 |
/// |
|
| 254 |
/// This method sets the priority of the given item if it is |
|
| 255 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 256 |
/// item into the heap with the given priority. |
|
| 257 |
/// \param i The item. |
|
| 258 |
/// \param p The priority. |
|
| 259 |
void set(const Item &i, const Prio &p) {
|
|
| 260 |
int idx = _iim[i]; |
|
| 261 |
if( idx < 0 ) |
|
| 262 |
push(i,p); |
|
| 263 |
else if( _comp(p, _data[idx].second) ) |
|
| 264 |
bubbleUp(idx, Pair(i,p)); |
|
| 265 |
else |
|
| 266 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
| 267 |
} |
|
| 268 |
|
|
| 269 |
/// \brief Decrease the priority of an item to the given value. |
|
| 270 |
/// |
|
| 271 |
/// This function decreases the priority of an item to the given value. |
|
| 272 |
/// \param i The item. |
|
| 273 |
/// \param p The priority. |
|
| 274 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
| 275 |
void decrease(const Item &i, const Prio &p) {
|
|
| 276 |
int idx = _iim[i]; |
|
| 277 |
bubbleUp(idx, Pair(i,p)); |
|
| 278 |
} |
|
| 279 |
|
|
| 280 |
/// \brief Increase the priority of an item to the given value. |
|
| 281 |
/// |
|
| 282 |
/// This function increases the priority of an item to the given value. |
|
| 283 |
/// \param i The item. |
|
| 284 |
/// \param p The priority. |
|
| 285 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
| 286 |
void increase(const Item &i, const Prio &p) {
|
|
| 287 |
int idx = _iim[i]; |
|
| 288 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
| 289 |
} |
|
| 290 |
|
|
| 291 |
/// \brief Return the state of an item. |
|
| 292 |
/// |
|
| 293 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 294 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 295 |
/// and \c POST_HEAP otherwise. |
|
| 296 |
/// In the latter case it is possible that the item will get back |
|
| 297 |
/// to the heap again. |
|
| 298 |
/// \param i The item. |
|
| 299 |
State state(const Item &i) const {
|
|
| 300 |
int s = _iim[i]; |
|
| 301 |
if (s>=0) s=0; |
|
| 302 |
return State(s); |
|
| 303 |
} |
|
| 304 |
|
|
| 305 |
/// \brief Set the state of an item in the heap. |
|
| 306 |
/// |
|
| 307 |
/// This function sets the state of the given item in the heap. |
|
| 308 |
/// It can be used to manually clear the heap when it is important |
|
| 309 |
/// to achive better time complexity. |
|
| 310 |
/// \param i The item. |
|
| 311 |
/// \param st The state. It should not be \c IN_HEAP. |
|
| 312 |
void state(const Item& i, State st) {
|
|
| 313 |
switch (st) {
|
|
| 314 |
case POST_HEAP: |
|
| 315 |
case PRE_HEAP: |
|
| 316 |
if (state(i) == IN_HEAP) erase(i); |
|
| 317 |
_iim[i] = st; |
|
| 318 |
break; |
|
| 319 |
case IN_HEAP: |
|
| 320 |
break; |
|
| 321 |
} |
|
| 322 |
} |
|
| 323 |
|
|
| 324 |
/// \brief Replace an item in the heap. |
|
| 325 |
/// |
|
| 326 |
/// This function replaces item \c i with item \c j. |
|
| 327 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
|
| 328 |
/// After calling this method, item \c i will be out of the |
|
| 329 |
/// heap and \c j will be in the heap with the same prioriority |
|
| 330 |
/// as item \c i had before. |
|
| 331 |
void replace(const Item& i, const Item& j) {
|
|
| 332 |
int idx = _iim[i]; |
|
| 333 |
_iim.set(i, _iim[j]); |
|
| 334 |
_iim.set(j, idx); |
|
| 335 |
_data[idx].first = j; |
|
| 336 |
} |
|
| 337 |
|
|
| 338 |
}; // class FouraryHeap |
|
| 339 |
|
|
| 340 |
} // namespace lemon |
|
| 341 |
|
|
| 342 |
#endif // LEMON_FOURARY_HEAP_H |
| 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
| 2 |
* |
|
| 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
| 4 |
* |
|
| 5 |
* Copyright (C) 2003-2009 |
|
| 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
| 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
| 8 |
* |
|
| 9 |
* Permission to use, modify and distribute this software is granted |
|
| 10 |
* provided that this copyright notice appears in all copies. For |
|
| 11 |
* precise terms see the accompanying LICENSE file. |
|
| 12 |
* |
|
| 13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
| 14 |
* express or implied, and with no claim as to its suitability for any |
|
| 15 |
* purpose. |
|
| 16 |
* |
|
| 17 |
*/ |
|
| 18 |
|
|
| 19 |
#ifndef LEMON_KARY_HEAP_H |
|
| 20 |
#define LEMON_KARY_HEAP_H |
|
| 21 |
|
|
| 22 |
///\ingroup heaps |
|
| 23 |
///\file |
|
| 24 |
///\brief Fourary heap implementation. |
|
| 25 |
|
|
| 26 |
#include <vector> |
|
| 27 |
#include <utility> |
|
| 28 |
#include <functional> |
|
| 29 |
|
|
| 30 |
namespace lemon {
|
|
| 31 |
|
|
| 32 |
/// \ingroup heaps |
|
| 33 |
/// |
|
| 34 |
///\brief K-ary heap data structure. |
|
| 35 |
/// |
|
| 36 |
/// This class implements the \e K-ary \e heap data structure. |
|
| 37 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
| 38 |
/// |
|
| 39 |
/// The \ref KaryHeap "K-ary heap" is a generalization of the |
|
| 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 |
/// of this structure for <tt>K=2</tt> and <tt>K=4</tt>, respectively. |
|
| 44 |
/// |
|
| 45 |
/// \tparam PR Type of the priorities of the items. |
|
| 46 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 47 |
/// internally to handle the cross references. |
|
| 48 |
/// \tparam K The degree of the heap, each node have at most \e K |
|
| 49 |
/// children. The default is 16. Powers of two are suggested to use |
|
| 50 |
/// so that the multiplications and divisions needed to traverse the |
|
| 51 |
/// nodes of the heap could be performed faster. |
|
| 52 |
/// \tparam CMP A functor class for comparing the priorities. |
|
| 53 |
/// The default is \c std::less<PR>. |
|
| 54 |
/// |
|
| 55 |
///\sa BinHeap |
|
| 56 |
///\sa FouraryHeap |
|
| 57 |
#ifdef DOXYGEN |
|
| 58 |
template <typename PR, typename IM, int K, typename CMP> |
|
| 59 |
#else |
|
| 60 |
template <typename PR, typename IM, int K = 16, |
|
| 61 |
typename CMP = std::less<PR> > |
|
| 62 |
#endif |
|
| 63 |
class KaryHeap {
|
|
| 64 |
public: |
|
| 65 |
/// Type of the item-int map. |
|
| 66 |
typedef IM ItemIntMap; |
|
| 67 |
/// Type of the priorities. |
|
| 68 |
typedef PR Prio; |
|
| 69 |
/// Type of the items stored in the heap. |
|
| 70 |
typedef typename ItemIntMap::Key Item; |
|
| 71 |
/// Type of the item-priority pairs. |
|
| 72 |
typedef std::pair<Item,Prio> Pair; |
|
| 73 |
/// Functor type for comparing the priorities. |
|
| 74 |
typedef CMP Compare; |
|
| 75 |
|
|
| 76 |
/// \brief Type to represent the states of the items. |
|
| 77 |
/// |
|
| 78 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 79 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 80 |
/// heap's point of view, but may be useful to the user. |
|
| 81 |
/// |
|
| 82 |
/// The item-int map must be initialized in such way that it assigns |
|
| 83 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
| 84 |
enum State {
|
|
| 85 |
IN_HEAP = 0, ///< = 0. |
|
| 86 |
PRE_HEAP = -1, ///< = -1. |
|
| 87 |
POST_HEAP = -2 ///< = -2. |
|
| 88 |
}; |
|
| 89 |
|
|
| 90 |
private: |
|
| 91 |
std::vector<Pair> _data; |
|
| 92 |
Compare _comp; |
|
| 93 |
ItemIntMap &_iim; |
|
| 94 |
|
|
| 95 |
public: |
|
| 96 |
/// \brief Constructor. |
|
| 97 |
/// |
|
| 98 |
/// Constructor. |
|
| 99 |
/// \param map A map that assigns \c int values to the items. |
|
| 100 |
/// It is used internally to handle the cross references. |
|
| 101 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 102 |
explicit KaryHeap(ItemIntMap &map) : _iim(map) {}
|
|
| 103 |
|
|
| 104 |
/// \brief Constructor. |
|
| 105 |
/// |
|
| 106 |
/// Constructor. |
|
| 107 |
/// \param map A map that assigns \c int values to the items. |
|
| 108 |
/// It is used internally to handle the cross references. |
|
| 109 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 110 |
/// \param comp The function object used for comparing the priorities. |
|
| 111 |
KaryHeap(ItemIntMap &map, const Compare &comp) |
|
| 112 |
: _iim(map), _comp(comp) {}
|
|
| 113 |
|
|
| 114 |
/// \brief The number of items stored in the heap. |
|
| 115 |
/// |
|
| 116 |
/// This function returns the number of items stored in the heap. |
|
| 117 |
int size() const { return _data.size(); }
|
|
| 118 |
|
|
| 119 |
/// \brief Check if the heap is empty. |
|
| 120 |
/// |
|
| 121 |
/// This function returns \c true if the heap is empty. |
|
| 122 |
bool empty() const { return _data.empty(); }
|
|
| 123 |
|
|
| 124 |
/// \brief Make the heap empty. |
|
| 125 |
/// |
|
| 126 |
/// This functon makes the heap empty. |
|
| 127 |
/// It does not change the cross reference map. If you want to reuse |
|
| 128 |
/// a heap that is not surely empty, you should first clear it and |
|
| 129 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 130 |
/// for each item. |
|
| 131 |
void clear() { _data.clear(); }
|
|
| 132 |
|
|
| 133 |
private: |
|
| 134 |
int parent(int i) { return (i-1)/K; }
|
|
| 135 |
int firstChild(int i) { return K*i+1; }
|
|
| 136 |
|
|
| 137 |
bool less(const Pair &p1, const Pair &p2) const {
|
|
| 138 |
return _comp(p1.second, p2.second); |
|
| 139 |
} |
|
| 140 |
|
|
| 141 |
void bubbleUp(int hole, Pair p) {
|
|
| 142 |
int par = parent(hole); |
|
| 143 |
while( hole>0 && less(p,_data[par]) ) {
|
|
| 144 |
move(_data[par],hole); |
|
| 145 |
hole = par; |
|
| 146 |
par = parent(hole); |
|
| 147 |
} |
|
| 148 |
move(p, hole); |
|
| 149 |
} |
|
| 150 |
|
|
| 151 |
void bubbleDown(int hole, Pair p, int length) {
|
|
| 152 |
if( length>1 ) {
|
|
| 153 |
int child = firstChild(hole); |
|
| 154 |
while( child+K<=length ) {
|
|
| 155 |
int min=child; |
|
| 156 |
for (int i=1; i<K; ++i) {
|
|
| 157 |
if( less(_data[child+i], _data[min]) ) |
|
| 158 |
min=child+i; |
|
| 159 |
} |
|
| 160 |
if( !less(_data[min], p) ) |
|
| 161 |
goto ok; |
|
| 162 |
move(_data[min], hole); |
|
| 163 |
hole = min; |
|
| 164 |
child = firstChild(hole); |
|
| 165 |
} |
|
| 166 |
if ( child<length ) {
|
|
| 167 |
int min = child; |
|
| 168 |
while (++child < length) {
|
|
| 169 |
if( less(_data[child], _data[min]) ) |
|
| 170 |
min=child; |
|
| 171 |
} |
|
| 172 |
if( less(_data[min], p) ) {
|
|
| 173 |
move(_data[min], hole); |
|
| 174 |
hole = min; |
|
| 175 |
} |
|
| 176 |
} |
|
| 177 |
} |
|
| 178 |
ok: |
|
| 179 |
move(p, hole); |
|
| 180 |
} |
|
| 181 |
|
|
| 182 |
void move(const Pair &p, int i) {
|
|
| 183 |
_data[i] = p; |
|
| 184 |
_iim.set(p.first, i); |
|
| 185 |
} |
|
| 186 |
|
|
| 187 |
public: |
|
| 188 |
/// \brief Insert a pair of item and priority into the heap. |
|
| 189 |
/// |
|
| 190 |
/// This function inserts \c p.first to the heap with priority |
|
| 191 |
/// \c p.second. |
|
| 192 |
/// \param p The pair to insert. |
|
| 193 |
/// \pre \c p.first must not be stored in the heap. |
|
| 194 |
void push(const Pair &p) {
|
|
| 195 |
int n = _data.size(); |
|
| 196 |
_data.resize(n+1); |
|
| 197 |
bubbleUp(n, p); |
|
| 198 |
} |
|
| 199 |
|
|
| 200 |
/// \brief Insert an item into the heap with the given priority. |
|
| 201 |
/// |
|
| 202 |
/// This function inserts the given item into the heap with the |
|
| 203 |
/// given priority. |
|
| 204 |
/// \param i The item to insert. |
|
| 205 |
/// \param p The priority of the item. |
|
| 206 |
/// \pre \e i must not be stored in the heap. |
|
| 207 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
|
|
| 208 |
|
|
| 209 |
/// \brief Return the item having minimum priority. |
|
| 210 |
/// |
|
| 211 |
/// This function returns the item having minimum priority. |
|
| 212 |
/// \pre The heap must be non-empty. |
|
| 213 |
Item top() const { return _data[0].first; }
|
|
| 214 |
|
|
| 215 |
/// \brief The minimum priority. |
|
| 216 |
/// |
|
| 217 |
/// This function returns the minimum priority. |
|
| 218 |
/// \pre The heap must be non-empty. |
|
| 219 |
Prio prio() const { return _data[0].second; }
|
|
| 220 |
|
|
| 221 |
/// \brief Remove the item having minimum priority. |
|
| 222 |
/// |
|
| 223 |
/// This function removes the item having minimum priority. |
|
| 224 |
/// \pre The heap must be non-empty. |
|
| 225 |
void pop() {
|
|
| 226 |
int n = _data.size()-1; |
|
| 227 |
_iim.set(_data[0].first, POST_HEAP); |
|
| 228 |
if (n>0) bubbleDown(0, _data[n], n); |
|
| 229 |
_data.pop_back(); |
|
| 230 |
} |
|
| 231 |
|
|
| 232 |
/// \brief Remove the given item from the heap. |
|
| 233 |
/// |
|
| 234 |
/// This function removes the given item from the heap if it is |
|
| 235 |
/// already stored. |
|
| 236 |
/// \param i The item to delete. |
|
| 237 |
/// \pre \e i must be in the heap. |
|
| 238 |
void erase(const Item &i) {
|
|
| 239 |
int h = _iim[i]; |
|
| 240 |
int n = _data.size()-1; |
|
| 241 |
_iim.set(_data[h].first, POST_HEAP); |
|
| 242 |
if( h<n ) {
|
|
| 243 |
if( less(_data[parent(h)], _data[n]) ) |
|
| 244 |
bubbleDown(h, _data[n], n); |
|
| 245 |
else |
|
| 246 |
bubbleUp(h, _data[n]); |
|
| 247 |
} |
|
| 248 |
_data.pop_back(); |
|
| 249 |
} |
|
| 250 |
|
|
| 251 |
/// \brief The priority of the given item. |
|
| 252 |
/// |
|
| 253 |
/// This function returns the priority of the given item. |
|
| 254 |
/// \param i The item. |
|
| 255 |
/// \pre \e i must be in the heap. |
|
| 256 |
Prio operator[](const Item &i) const {
|
|
| 257 |
int idx = _iim[i]; |
|
| 258 |
return _data[idx].second; |
|
| 259 |
} |
|
| 260 |
|
|
| 261 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 262 |
/// not stored in the heap. |
|
| 263 |
/// |
|
| 264 |
/// This method sets the priority of the given item if it is |
|
| 265 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 266 |
/// item into the heap with the given priority. |
|
| 267 |
/// \param i The item. |
|
| 268 |
/// \param p The priority. |
|
| 269 |
void set(const Item &i, const Prio &p) {
|
|
| 270 |
int idx = _iim[i]; |
|
| 271 |
if( idx<0 ) |
|
| 272 |
push(i,p); |
|
| 273 |
else if( _comp(p, _data[idx].second) ) |
|
| 274 |
bubbleUp(idx, Pair(i,p)); |
|
| 275 |
else |
|
| 276 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
| 277 |
} |
|
| 278 |
|
|
| 279 |
/// \brief Decrease the priority of an item to the given value. |
|
| 280 |
/// |
|
| 281 |
/// This function decreases the priority of an item to the given value. |
|
| 282 |
/// \param i The item. |
|
| 283 |
/// \param p The priority. |
|
| 284 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
| 285 |
void decrease(const Item &i, const Prio &p) {
|
|
| 286 |
int idx = _iim[i]; |
|
| 287 |
bubbleUp(idx, Pair(i,p)); |
|
| 288 |
} |
|
| 289 |
|
|
| 290 |
/// \brief Increase the priority of an item to the given value. |
|
| 291 |
/// |
|
| 292 |
/// This function increases the priority of an item to the given value. |
|
| 293 |
/// \param i The item. |
|
| 294 |
/// \param p The priority. |
|
| 295 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
| 296 |
void increase(const Item &i, const Prio &p) {
|
|
| 297 |
int idx = _iim[i]; |
|
| 298 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
| 299 |
} |
|
| 300 |
|
|
| 301 |
/// \brief Return the state of an item. |
|
| 302 |
/// |
|
| 303 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 304 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 305 |
/// and \c POST_HEAP otherwise. |
|
| 306 |
/// In the latter case it is possible that the item will get back |
|
| 307 |
/// to the heap again. |
|
| 308 |
/// \param i The item. |
|
| 309 |
State state(const Item &i) const {
|
|
| 310 |
int s = _iim[i]; |
|
| 311 |
if (s>=0) s=0; |
|
| 312 |
return State(s); |
|
| 313 |
} |
|
| 314 |
|
|
| 315 |
/// \brief Set the state of an item in the heap. |
|
| 316 |
/// |
|
| 317 |
/// This function sets the state of the given item in the heap. |
|
| 318 |
/// It can be used to manually clear the heap when it is important |
|
| 319 |
/// to achive better time complexity. |
|
| 320 |
/// \param i The item. |
|
| 321 |
/// \param st The state. It should not be \c IN_HEAP. |
|
| 322 |
void state(const Item& i, State st) {
|
|
| 323 |
switch (st) {
|
|
| 324 |
case POST_HEAP: |
|
| 325 |
case PRE_HEAP: |
|
| 326 |
if (state(i) == IN_HEAP) erase(i); |
|
| 327 |
_iim[i] = st; |
|
| 328 |
break; |
|
| 329 |
case IN_HEAP: |
|
| 330 |
break; |
|
| 331 |
} |
|
| 332 |
} |
|
| 333 |
|
|
| 334 |
/// \brief Replace an item in the heap. |
|
| 335 |
/// |
|
| 336 |
/// This function replaces item \c i with item \c j. |
|
| 337 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
|
| 338 |
/// After calling this method, item \c i will be out of the |
|
| 339 |
/// heap and \c j will be in the heap with the same prioriority |
|
| 340 |
/// as item \c i had before. |
|
| 341 |
void replace(const Item& i, const Item& j) {
|
|
| 342 |
int idx=_iim[i]; |
|
| 343 |
_iim.set(i, _iim[j]); |
|
| 344 |
_iim.set(j, idx); |
|
| 345 |
_data[idx].first=j; |
|
| 346 |
} |
|
| 347 |
|
|
| 348 |
}; // class KaryHeap |
|
| 349 |
|
|
| 350 |
} // namespace lemon |
|
| 351 |
|
|
| 352 |
#endif // LEMON_KARY_HEAP_H |
| 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
| 2 |
* |
|
| 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
| 4 |
* |
|
| 5 |
* Copyright (C) 2003-2009 |
|
| 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
| 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
| 8 |
* |
|
| 9 |
* Permission to use, modify and distribute this software is granted |
|
| 10 |
* provided that this copyright notice appears in all copies. For |
|
| 11 |
* precise terms see the accompanying LICENSE file. |
|
| 12 |
* |
|
| 13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
| 14 |
* express or implied, and with no claim as to its suitability for any |
|
| 15 |
* purpose. |
|
| 16 |
* |
|
| 17 |
*/ |
|
| 18 |
|
|
| 19 |
#ifndef LEMON_PAIRING_HEAP_H |
|
| 20 |
#define LEMON_PAIRING_HEAP_H |
|
| 21 |
|
|
| 22 |
///\file |
|
| 23 |
///\ingroup heaps |
|
| 24 |
///\brief Pairing heap implementation. |
|
| 25 |
|
|
| 26 |
#include <vector> |
|
| 27 |
#include <utility> |
|
| 28 |
#include <functional> |
|
| 29 |
#include <lemon/math.h> |
|
| 30 |
|
|
| 31 |
namespace lemon {
|
|
| 32 |
|
|
| 33 |
/// \ingroup heaps |
|
| 34 |
/// |
|
| 35 |
///\brief Pairing Heap. |
|
| 36 |
/// |
|
| 37 |
/// This class implements the \e pairing \e heap data structure. |
|
| 38 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
| 39 |
/// |
|
| 40 |
/// The methods \ref increase() and \ref erase() are not efficient |
|
| 41 |
/// in a pairing heap. In case of many calls of these operations, |
|
| 42 |
/// it is better to use other heap structure, e.g. \ref BinHeap |
|
| 43 |
/// "binary heap". |
|
| 44 |
/// |
|
| 45 |
/// \tparam PR Type of the priorities of the items. |
|
| 46 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 47 |
/// internally to handle the cross references. |
|
| 48 |
/// \tparam CMP A functor class for comparing the priorities. |
|
| 49 |
/// The default is \c std::less<PR>. |
|
| 50 |
#ifdef DOXYGEN |
|
| 51 |
template <typename PR, typename IM, typename CMP> |
|
| 52 |
#else |
|
| 53 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
| 54 |
#endif |
|
| 55 |
class PairingHeap {
|
|
| 56 |
public: |
|
| 57 |
/// Type of the item-int map. |
|
| 58 |
typedef IM ItemIntMap; |
|
| 59 |
/// Type of the priorities. |
|
| 60 |
typedef PR Prio; |
|
| 61 |
/// Type of the items stored in the heap. |
|
| 62 |
typedef typename ItemIntMap::Key Item; |
|
| 63 |
/// Functor type for comparing the priorities. |
|
| 64 |
typedef CMP Compare; |
|
| 65 |
|
|
| 66 |
/// \brief Type to represent the states of the items. |
|
| 67 |
/// |
|
| 68 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 69 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 70 |
/// heap's point of view, but may be useful to the user. |
|
| 71 |
/// |
|
| 72 |
/// The item-int map must be initialized in such way that it assigns |
|
| 73 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
| 74 |
enum State {
|
|
| 75 |
IN_HEAP = 0, ///< = 0. |
|
| 76 |
PRE_HEAP = -1, ///< = -1. |
|
| 77 |
POST_HEAP = -2 ///< = -2. |
|
| 78 |
}; |
|
| 79 |
|
|
| 80 |
private: |
|
| 81 |
class store; |
|
| 82 |
|
|
| 83 |
std::vector<store> _data; |
|
| 84 |
int _min; |
|
| 85 |
ItemIntMap &_iim; |
|
| 86 |
Compare _comp; |
|
| 87 |
int _num_items; |
|
| 88 |
|
|
| 89 |
public: |
|
| 90 |
/// \brief Constructor. |
|
| 91 |
/// |
|
| 92 |
/// Constructor. |
|
| 93 |
/// \param map A map that assigns \c int values to the items. |
|
| 94 |
/// It is used internally to handle the cross references. |
|
| 95 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 96 |
explicit PairingHeap(ItemIntMap &map) |
|
| 97 |
: _min(0), _iim(map), _num_items(0) {}
|
|
| 98 |
|
|
| 99 |
/// \brief Constructor. |
|
| 100 |
/// |
|
| 101 |
/// Constructor. |
|
| 102 |
/// \param map A map that assigns \c int values to the items. |
|
| 103 |
/// It is used internally to handle the cross references. |
|
| 104 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 105 |
/// \param comp The function object used for comparing the priorities. |
|
| 106 |
PairingHeap(ItemIntMap &map, const Compare &comp) |
|
| 107 |
: _min(0), _iim(map), _comp(comp), _num_items(0) {}
|
|
| 108 |
|
|
| 109 |
/// \brief The number of items stored in the heap. |
|
| 110 |
/// |
|
| 111 |
/// This function returns the number of items stored in the heap. |
|
| 112 |
int size() const { return _num_items; }
|
|
| 113 |
|
|
| 114 |
/// \brief Check if the heap is empty. |
|
| 115 |
/// |
|
| 116 |
/// This function returns \c true if the heap is empty. |
|
| 117 |
bool empty() const { return _num_items==0; }
|
|
| 118 |
|
|
| 119 |
/// \brief Make the heap empty. |
|
| 120 |
/// |
|
| 121 |
/// This functon makes the heap empty. |
|
| 122 |
/// It does not change the cross reference map. If you want to reuse |
|
| 123 |
/// a heap that is not surely empty, you should first clear it and |
|
| 124 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 125 |
/// for each item. |
|
| 126 |
void clear() {
|
|
| 127 |
_data.clear(); |
|
| 128 |
_min = 0; |
|
| 129 |
_num_items = 0; |
|
| 130 |
} |
|
| 131 |
|
|
| 132 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 133 |
/// not stored in the heap. |
|
| 134 |
/// |
|
| 135 |
/// This method sets the priority of the given item if it is |
|
| 136 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 137 |
/// item into the heap with the given priority. |
|
| 138 |
/// \param item The item. |
|
| 139 |
/// \param value The priority. |
|
| 140 |
void set (const Item& item, const Prio& value) {
|
|
| 141 |
int i=_iim[item]; |
|
| 142 |
if ( i>=0 && _data[i].in ) {
|
|
| 143 |
if ( _comp(value, _data[i].prio) ) decrease(item, value); |
|
| 144 |
if ( _comp(_data[i].prio, value) ) increase(item, value); |
|
| 145 |
} else push(item, value); |
|
| 146 |
} |
|
| 147 |
|
|
| 148 |
/// \brief Insert an item into the heap with the given priority. |
|
| 149 |
/// |
|
| 150 |
/// This function inserts the given item into the heap with the |
|
| 151 |
/// given priority. |
|
| 152 |
/// \param item The item to insert. |
|
| 153 |
/// \param value The priority of the item. |
|
| 154 |
/// \pre \e item must not be stored in the heap. |
|
| 155 |
void push (const Item& item, const Prio& value) {
|
|
| 156 |
int i=_iim[item]; |
|
| 157 |
if( i<0 ) {
|
|
| 158 |
int s=_data.size(); |
|
| 159 |
_iim.set(item, s); |
|
| 160 |
store st; |
|
| 161 |
st.name=item; |
|
| 162 |
_data.push_back(st); |
|
| 163 |
i=s; |
|
| 164 |
} else {
|
|
| 165 |
_data[i].parent=_data[i].child=-1; |
|
| 166 |
_data[i].left_child=false; |
|
| 167 |
_data[i].degree=0; |
|
| 168 |
_data[i].in=true; |
|
| 169 |
} |
|
| 170 |
|
|
| 171 |
_data[i].prio=value; |
|
| 172 |
|
|
| 173 |
if ( _num_items!=0 ) {
|
|
| 174 |
if ( _comp( value, _data[_min].prio) ) {
|
|
| 175 |
fuse(i,_min); |
|
| 176 |
_min=i; |
|
| 177 |
} |
|
| 178 |
else fuse(_min,i); |
|
| 179 |
} |
|
| 180 |
else _min=i; |
|
| 181 |
|
|
| 182 |
++_num_items; |
|
| 183 |
} |
|
| 184 |
|
|
| 185 |
/// \brief Return the item having minimum priority. |
|
| 186 |
/// |
|
| 187 |
/// This function returns the item having minimum priority. |
|
| 188 |
/// \pre The heap must be non-empty. |
|
| 189 |
Item top() const { return _data[_min].name; }
|
|
| 190 |
|
|
| 191 |
/// \brief The minimum priority. |
|
| 192 |
/// |
|
| 193 |
/// This function returns the minimum priority. |
|
| 194 |
/// \pre The heap must be non-empty. |
|
| 195 |
const Prio& prio() const { return _data[_min].prio; }
|
|
| 196 |
|
|
| 197 |
/// \brief The priority of the given item. |
|
| 198 |
/// |
|
| 199 |
/// This function returns the priority of the given item. |
|
| 200 |
/// \param item The item. |
|
| 201 |
/// \pre \e item must be in the heap. |
|
| 202 |
const Prio& operator[](const Item& item) const {
|
|
| 203 |
return _data[_iim[item]].prio; |
|
| 204 |
} |
|
| 205 |
|
|
| 206 |
/// \brief Remove the item having minimum priority. |
|
| 207 |
/// |
|
| 208 |
/// This function removes the item having minimum priority. |
|
| 209 |
/// \pre The heap must be non-empty. |
|
| 210 |
void pop() {
|
|
| 211 |
std::vector<int> trees; |
|
| 212 |
int i=0, child_right = 0; |
|
| 213 |
_data[_min].in=false; |
|
| 214 |
|
|
| 215 |
if( -1!=_data[_min].child ) {
|
|
| 216 |
i=_data[_min].child; |
|
| 217 |
trees.push_back(i); |
|
| 218 |
_data[i].parent = -1; |
|
| 219 |
_data[_min].child = -1; |
|
| 220 |
|
|
| 221 |
int ch=-1; |
|
| 222 |
while( _data[i].child!=-1 ) {
|
|
| 223 |
ch=_data[i].child; |
|
| 224 |
if( _data[ch].left_child && i==_data[ch].parent ) {
|
|
| 225 |
break; |
|
| 226 |
} else {
|
|
| 227 |
if( _data[ch].left_child ) {
|
|
| 228 |
child_right=_data[ch].parent; |
|
| 229 |
_data[ch].parent = i; |
|
| 230 |
--_data[i].degree; |
|
| 231 |
} |
|
| 232 |
else {
|
|
| 233 |
child_right=ch; |
|
| 234 |
_data[i].child=-1; |
|
| 235 |
_data[i].degree=0; |
|
| 236 |
} |
|
| 237 |
_data[child_right].parent = -1; |
|
| 238 |
trees.push_back(child_right); |
|
| 239 |
i = child_right; |
|
| 240 |
} |
|
| 241 |
} |
|
| 242 |
|
|
| 243 |
int num_child = trees.size(); |
|
| 244 |
int other; |
|
| 245 |
for( i=0; i<num_child-1; i+=2 ) {
|
|
| 246 |
if ( !_comp(_data[trees[i]].prio, _data[trees[i+1]].prio) ) {
|
|
| 247 |
other=trees[i]; |
|
| 248 |
trees[i]=trees[i+1]; |
|
| 249 |
trees[i+1]=other; |
|
| 250 |
} |
|
| 251 |
fuse( trees[i], trees[i+1] ); |
|
| 252 |
} |
|
| 253 |
|
|
| 254 |
i = (0==(num_child % 2)) ? num_child-2 : num_child-1; |
|
| 255 |
while(i>=2) {
|
|
| 256 |
if ( _comp(_data[trees[i]].prio, _data[trees[i-2]].prio) ) {
|
|
| 257 |
other=trees[i]; |
|
| 258 |
trees[i]=trees[i-2]; |
|
| 259 |
trees[i-2]=other; |
|
| 260 |
} |
|
| 261 |
fuse( trees[i-2], trees[i] ); |
|
| 262 |
i-=2; |
|
| 263 |
} |
|
| 264 |
_min = trees[0]; |
|
| 265 |
} |
|
| 266 |
else {
|
|
| 267 |
_min = _data[_min].child; |
|
| 268 |
} |
|
| 269 |
|
|
| 270 |
if (_min >= 0) _data[_min].left_child = false; |
|
| 271 |
--_num_items; |
|
| 272 |
} |
|
| 273 |
|
|
| 274 |
/// \brief Remove the given item from the heap. |
|
| 275 |
/// |
|
| 276 |
/// This function removes the given item from the heap if it is |
|
| 277 |
/// already stored. |
|
| 278 |
/// \param item The item to delete. |
|
| 279 |
/// \pre \e item must be in the heap. |
|
| 280 |
void erase (const Item& item) {
|
|
| 281 |
int i=_iim[item]; |
|
| 282 |
if ( i>=0 && _data[i].in ) {
|
|
| 283 |
decrease( item, _data[_min].prio-1 ); |
|
| 284 |
pop(); |
|
| 285 |
} |
|
| 286 |
} |
|
| 287 |
|
|
| 288 |
/// \brief Decrease the priority of an item to the given value. |
|
| 289 |
/// |
|
| 290 |
/// This function decreases the priority of an item to the given value. |
|
| 291 |
/// \param item The item. |
|
| 292 |
/// \param value The priority. |
|
| 293 |
/// \pre \e item must be stored in the heap with priority at least \e value. |
|
| 294 |
void decrease (Item item, const Prio& value) {
|
|
| 295 |
int i=_iim[item]; |
|
| 296 |
_data[i].prio=value; |
|
| 297 |
int p=_data[i].parent; |
|
| 298 |
|
|
| 299 |
if( _data[i].left_child && i!=_data[p].child ) {
|
|
| 300 |
p=_data[p].parent; |
|
| 301 |
} |
|
| 302 |
|
|
| 303 |
if ( p!=-1 && _comp(value,_data[p].prio) ) {
|
|
| 304 |
cut(i,p); |
|
| 305 |
if ( _comp(_data[_min].prio,value) ) {
|
|
| 306 |
fuse(_min,i); |
|
| 307 |
} else {
|
|
| 308 |
fuse(i,_min); |
|
| 309 |
_min=i; |
|
| 310 |
} |
|
| 311 |
} |
|
| 312 |
} |
|
| 313 |
|
|
| 314 |
/// \brief Increase the priority of an item to the given value. |
|
| 315 |
/// |
|
| 316 |
/// This function increases the priority of an item to the given value. |
|
| 317 |
/// \param item The item. |
|
| 318 |
/// \param value The priority. |
|
| 319 |
/// \pre \e item must be stored in the heap with priority at most \e value. |
|
| 320 |
void increase (Item item, const Prio& value) {
|
|
| 321 |
erase(item); |
|
| 322 |
push(item,value); |
|
| 323 |
} |
|
| 324 |
|
|
| 325 |
/// \brief Return the state of an item. |
|
| 326 |
/// |
|
| 327 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 328 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 329 |
/// and \c POST_HEAP otherwise. |
|
| 330 |
/// In the latter case it is possible that the item will get back |
|
| 331 |
/// to the heap again. |
|
| 332 |
/// \param item The item. |
|
| 333 |
State state(const Item &item) const {
|
|
| 334 |
int i=_iim[item]; |
|
| 335 |
if( i>=0 ) {
|
|
| 336 |
if( _data[i].in ) i=0; |
|
| 337 |
else i=-2; |
|
| 338 |
} |
|
| 339 |
return State(i); |
|
| 340 |
} |
|
| 341 |
|
|
| 342 |
/// \brief Set the state of an item in the heap. |
|
| 343 |
/// |
|
| 344 |
/// This function sets the state of the given item in the heap. |
|
| 345 |
/// It can be used to manually clear the heap when it is important |
|
| 346 |
/// to achive better time complexity. |
|
| 347 |
/// \param i The item. |
|
| 348 |
/// \param st The state. It should not be \c IN_HEAP. |
|
| 349 |
void state(const Item& i, State st) {
|
|
| 350 |
switch (st) {
|
|
| 351 |
case POST_HEAP: |
|
| 352 |
case PRE_HEAP: |
|
| 353 |
if (state(i) == IN_HEAP) erase(i); |
|
| 354 |
_iim[i]=st; |
|
| 355 |
break; |
|
| 356 |
case IN_HEAP: |
|
| 357 |
break; |
|
| 358 |
} |
|
| 359 |
} |
|
| 360 |
|
|
| 361 |
private: |
|
| 362 |
|
|
| 363 |
void cut(int a, int b) {
|
|
| 364 |
int child_a; |
|
| 365 |
switch (_data[a].degree) {
|
|
| 366 |
case 2: |
|
| 367 |
child_a = _data[_data[a].child].parent; |
|
| 368 |
if( _data[a].left_child ) {
|
|
| 369 |
_data[child_a].left_child=true; |
|
| 370 |
_data[b].child=child_a; |
|
| 371 |
_data[child_a].parent=_data[a].parent; |
|
| 372 |
} |
|
| 373 |
else {
|
|
| 374 |
_data[child_a].left_child=false; |
|
| 375 |
_data[child_a].parent=b; |
|
| 376 |
if( a!=_data[b].child ) |
|
| 377 |
_data[_data[b].child].parent=child_a; |
|
| 378 |
else |
|
| 379 |
_data[b].child=child_a; |
|
| 380 |
} |
|
| 381 |
--_data[a].degree; |
|
| 382 |
_data[_data[a].child].parent=a; |
|
| 383 |
break; |
|
| 384 |
|
|
| 385 |
case 1: |
|
| 386 |
child_a = _data[a].child; |
|
| 387 |
if( !_data[child_a].left_child ) {
|
|
| 388 |
--_data[a].degree; |
|
| 389 |
if( _data[a].left_child ) {
|
|
| 390 |
_data[child_a].left_child=true; |
|
| 391 |
_data[child_a].parent=_data[a].parent; |
|
| 392 |
_data[b].child=child_a; |
|
| 393 |
} |
|
| 394 |
else {
|
|
| 395 |
_data[child_a].left_child=false; |
|
| 396 |
_data[child_a].parent=b; |
|
| 397 |
if( a!=_data[b].child ) |
|
| 398 |
_data[_data[b].child].parent=child_a; |
|
| 399 |
else |
|
| 400 |
_data[b].child=child_a; |
|
| 401 |
} |
|
| 402 |
_data[a].child=-1; |
|
| 403 |
} |
|
| 404 |
else {
|
|
| 405 |
--_data[b].degree; |
|
| 406 |
if( _data[a].left_child ) {
|
|
| 407 |
_data[b].child = |
|
| 408 |
(1==_data[b].degree) ? _data[a].parent : -1; |
|
| 409 |
} else {
|
|
| 410 |
if (1==_data[b].degree) |
|
| 411 |
_data[_data[b].child].parent=b; |
|
| 412 |
else |
|
| 413 |
_data[b].child=-1; |
|
| 414 |
} |
|
| 415 |
} |
|
| 416 |
break; |
|
| 417 |
|
|
| 418 |
case 0: |
|
| 419 |
--_data[b].degree; |
|
| 420 |
if( _data[a].left_child ) {
|
|
| 421 |
_data[b].child = |
|
| 422 |
(0!=_data[b].degree) ? _data[a].parent : -1; |
|
| 423 |
} else {
|
|
| 424 |
if( 0!=_data[b].degree ) |
|
| 425 |
_data[_data[b].child].parent=b; |
|
| 426 |
else |
|
| 427 |
_data[b].child=-1; |
|
| 428 |
} |
|
| 429 |
break; |
|
| 430 |
} |
|
| 431 |
_data[a].parent=-1; |
|
| 432 |
_data[a].left_child=false; |
|
| 433 |
} |
|
| 434 |
|
|
| 435 |
void fuse(int a, int b) {
|
|
| 436 |
int child_a = _data[a].child; |
|
| 437 |
int child_b = _data[b].child; |
|
| 438 |
_data[a].child=b; |
|
| 439 |
_data[b].parent=a; |
|
| 440 |
_data[b].left_child=true; |
|
| 441 |
|
|
| 442 |
if( -1!=child_a ) {
|
|
| 443 |
_data[b].child=child_a; |
|
| 444 |
_data[child_a].parent=b; |
|
| 445 |
_data[child_a].left_child=false; |
|
| 446 |
++_data[b].degree; |
|
| 447 |
|
|
| 448 |
if( -1!=child_b ) {
|
|
| 449 |
_data[b].child=child_b; |
|
| 450 |
_data[child_b].parent=child_a; |
|
| 451 |
} |
|
| 452 |
} |
|
| 453 |
else { ++_data[a].degree; }
|
|
| 454 |
} |
|
| 455 |
|
|
| 456 |
class store {
|
|
| 457 |
friend class PairingHeap; |
|
| 458 |
|
|
| 459 |
Item name; |
|
| 460 |
int parent; |
|
| 461 |
int child; |
|
| 462 |
bool left_child; |
|
| 463 |
int degree; |
|
| 464 |
bool in; |
|
| 465 |
Prio prio; |
|
| 466 |
|
|
| 467 |
store() : parent(-1), child(-1), left_child(false), degree(0), in(true) {}
|
|
| 468 |
}; |
|
| 469 |
}; |
|
| 470 |
|
|
| 471 |
} //namespace lemon |
|
| 472 |
|
|
| 473 |
#endif //LEMON_PAIRING_HEAP_H |
|
| 474 |
| 1 |
/* -*- mode: C++; indent-tabs-mode: nil; -*- |
|
| 2 |
* |
|
| 3 |
* This file is a part of LEMON, a generic C++ optimization library. |
|
| 4 |
* |
|
| 5 |
* Copyright (C) 2003-2009 |
|
| 6 |
* Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
|
| 7 |
* (Egervary Research Group on Combinatorial Optimization, EGRES). |
|
| 8 |
* |
|
| 9 |
* Permission to use, modify and distribute this software is granted |
|
| 10 |
* provided that this copyright notice appears in all copies. For |
|
| 11 |
* precise terms see the accompanying LICENSE file. |
|
| 12 |
* |
|
| 13 |
* This software is provided "AS IS" with no warranty of any kind, |
|
| 14 |
* express or implied, and with no claim as to its suitability for any |
|
| 15 |
* purpose. |
|
| 16 |
* |
|
| 17 |
*/ |
|
| 18 |
|
|
| 19 |
#include <lemon/concepts/digraph.h> |
|
| 20 |
#include <lemon/smart_graph.h> |
|
| 21 |
#include <lemon/list_graph.h> |
|
| 22 |
#include <lemon/lgf_reader.h> |
|
| 23 |
#include <lemon/bellman_ford.h> |
|
| 24 |
#include <lemon/path.h> |
|
| 25 |
|
|
| 26 |
#include "graph_test.h" |
|
| 27 |
#include "test_tools.h" |
|
| 28 |
|
|
| 29 |
using namespace lemon; |
|
| 30 |
|
|
| 31 |
char test_lgf[] = |
|
| 32 |
"@nodes\n" |
|
| 33 |
"label\n" |
|
| 34 |
"0\n" |
|
| 35 |
"1\n" |
|
| 36 |
"2\n" |
|
| 37 |
"3\n" |
|
| 38 |
"4\n" |
|
| 39 |
"@arcs\n" |
|
| 40 |
" length\n" |
|
| 41 |
"0 1 3\n" |
|
| 42 |
"1 2 -3\n" |
|
| 43 |
"1 2 -5\n" |
|
| 44 |
"1 3 -2\n" |
|
| 45 |
"0 2 -1\n" |
|
| 46 |
"1 2 -4\n" |
|
| 47 |
"0 3 2\n" |
|
| 48 |
"4 2 -5\n" |
|
| 49 |
"2 3 1\n" |
|
| 50 |
"@attributes\n" |
|
| 51 |
"source 0\n" |
|
| 52 |
"target 3\n"; |
|
| 53 |
|
|
| 54 |
|
|
| 55 |
void checkBellmanFordCompile() |
|
| 56 |
{
|
|
| 57 |
typedef int Value; |
|
| 58 |
typedef concepts::Digraph Digraph; |
|
| 59 |
typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap; |
|
| 60 |
typedef BellmanFord<Digraph, LengthMap> BF; |
|
| 61 |
typedef Digraph::Node Node; |
|
| 62 |
typedef Digraph::Arc Arc; |
|
| 63 |
|
|
| 64 |
Digraph gr; |
|
| 65 |
Node s, t, n; |
|
| 66 |
Arc e; |
|
| 67 |
Value l; |
|
| 68 |
int k; |
|
| 69 |
bool b; |
|
| 70 |
BF::DistMap d(gr); |
|
| 71 |
BF::PredMap p(gr); |
|
| 72 |
LengthMap length; |
|
| 73 |
concepts::Path<Digraph> pp; |
|
| 74 |
|
|
| 75 |
{
|
|
| 76 |
BF bf_test(gr,length); |
|
| 77 |
const BF& const_bf_test = bf_test; |
|
| 78 |
|
|
| 79 |
bf_test.run(s); |
|
| 80 |
bf_test.run(s,k); |
|
| 81 |
|
|
| 82 |
bf_test.init(); |
|
| 83 |
bf_test.addSource(s); |
|
| 84 |
bf_test.addSource(s, 1); |
|
| 85 |
b = bf_test.processNextRound(); |
|
| 86 |
b = bf_test.processNextWeakRound(); |
|
| 87 |
|
|
| 88 |
bf_test.start(); |
|
| 89 |
bf_test.checkedStart(); |
|
| 90 |
bf_test.limitedStart(k); |
|
| 91 |
|
|
| 92 |
l = const_bf_test.dist(t); |
|
| 93 |
e = const_bf_test.predArc(t); |
|
| 94 |
s = const_bf_test.predNode(t); |
|
| 95 |
b = const_bf_test.reached(t); |
|
| 96 |
d = const_bf_test.distMap(); |
|
| 97 |
p = const_bf_test.predMap(); |
|
| 98 |
pp = const_bf_test.path(t); |
|
| 99 |
|
|
| 100 |
for (BF::ActiveIt it(const_bf_test); it != INVALID; ++it) {}
|
|
| 101 |
} |
|
| 102 |
{
|
|
| 103 |
BF::SetPredMap<concepts::ReadWriteMap<Node,Arc> > |
|
| 104 |
::SetDistMap<concepts::ReadWriteMap<Node,Value> > |
|
| 105 |
::SetOperationTraits<BellmanFordDefaultOperationTraits<Value> > |
|
| 106 |
::Create bf_test(gr,length); |
|
| 107 |
|
|
| 108 |
LengthMap length_map; |
|
| 109 |
concepts::ReadWriteMap<Node,Arc> pred_map; |
|
| 110 |
concepts::ReadWriteMap<Node,Value> dist_map; |
|
| 111 |
|
|
| 112 |
bf_test |
|
| 113 |
.lengthMap(length_map) |
|
| 114 |
.predMap(pred_map) |
|
| 115 |
.distMap(dist_map); |
|
| 116 |
|
|
| 117 |
bf_test.run(s); |
|
| 118 |
bf_test.run(s,k); |
|
| 119 |
|
|
| 120 |
bf_test.init(); |
|
| 121 |
bf_test.addSource(s); |
|
| 122 |
bf_test.addSource(s, 1); |
|
| 123 |
b = bf_test.processNextRound(); |
|
| 124 |
b = bf_test.processNextWeakRound(); |
|
| 125 |
|
|
| 126 |
bf_test.start(); |
|
| 127 |
bf_test.checkedStart(); |
|
| 128 |
bf_test.limitedStart(k); |
|
| 129 |
|
|
| 130 |
l = bf_test.dist(t); |
|
| 131 |
e = bf_test.predArc(t); |
|
| 132 |
s = bf_test.predNode(t); |
|
| 133 |
b = bf_test.reached(t); |
|
| 134 |
pp = bf_test.path(t); |
|
| 135 |
} |
|
| 136 |
} |
|
| 137 |
|
|
| 138 |
void checkBellmanFordFunctionCompile() |
|
| 139 |
{
|
|
| 140 |
typedef int Value; |
|
| 141 |
typedef concepts::Digraph Digraph; |
|
| 142 |
typedef Digraph::Arc Arc; |
|
| 143 |
typedef Digraph::Node Node; |
|
| 144 |
typedef concepts::ReadMap<Digraph::Arc,Value> LengthMap; |
|
| 145 |
|
|
| 146 |
Digraph g; |
|
| 147 |
bool b; |
|
| 148 |
bellmanFord(g,LengthMap()).run(Node()); |
|
| 149 |
b = bellmanFord(g,LengthMap()).run(Node(),Node()); |
|
| 150 |
bellmanFord(g,LengthMap()) |
|
| 151 |
.predMap(concepts::ReadWriteMap<Node,Arc>()) |
|
| 152 |
.distMap(concepts::ReadWriteMap<Node,Value>()) |
|
| 153 |
.run(Node()); |
|
| 154 |
b=bellmanFord(g,LengthMap()) |
|
| 155 |
.predMap(concepts::ReadWriteMap<Node,Arc>()) |
|
| 156 |
.distMap(concepts::ReadWriteMap<Node,Value>()) |
|
| 157 |
.path(concepts::Path<Digraph>()) |
|
| 158 |
.dist(Value()) |
|
| 159 |
.run(Node(),Node()); |
|
| 160 |
} |
|
| 161 |
|
|
| 162 |
|
|
| 163 |
template <typename Digraph, typename Value> |
|
| 164 |
void checkBellmanFord() {
|
|
| 165 |
TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); |
|
| 166 |
typedef typename Digraph::template ArcMap<Value> LengthMap; |
|
| 167 |
|
|
| 168 |
Digraph gr; |
|
| 169 |
Node s, t; |
|
| 170 |
LengthMap length(gr); |
|
| 171 |
|
|
| 172 |
std::istringstream input(test_lgf); |
|
| 173 |
digraphReader(gr, input). |
|
| 174 |
arcMap("length", length).
|
|
| 175 |
node("source", s).
|
|
| 176 |
node("target", t).
|
|
| 177 |
run(); |
|
| 178 |
|
|
| 179 |
BellmanFord<Digraph, LengthMap> |
|
| 180 |
bf(gr, length); |
|
| 181 |
bf.run(s); |
|
| 182 |
Path<Digraph> p = bf.path(t); |
|
| 183 |
|
|
| 184 |
check(bf.reached(t) && bf.dist(t) == -1, "Bellman-Ford found a wrong path."); |
|
| 185 |
check(p.length() == 3, "path() found a wrong path."); |
|
| 186 |
check(checkPath(gr, p), "path() found a wrong path."); |
|
| 187 |
check(pathSource(gr, p) == s, "path() found a wrong path."); |
|
| 188 |
check(pathTarget(gr, p) == t, "path() found a wrong path."); |
|
| 189 |
|
|
| 190 |
ListPath<Digraph> path; |
|
| 191 |
Value dist; |
|
| 192 |
bool reached = bellmanFord(gr,length).path(path).dist(dist).run(s,t); |
|
| 193 |
|
|
| 194 |
check(reached && dist == -1, "Bellman-Ford found a wrong path."); |
|
| 195 |
check(path.length() == 3, "path() found a wrong path."); |
|
| 196 |
check(checkPath(gr, path), "path() found a wrong path."); |
|
| 197 |
check(pathSource(gr, path) == s, "path() found a wrong path."); |
|
| 198 |
check(pathTarget(gr, path) == t, "path() found a wrong path."); |
|
| 199 |
|
|
| 200 |
for(ArcIt e(gr); e!=INVALID; ++e) {
|
|
| 201 |
Node u=gr.source(e); |
|
| 202 |
Node v=gr.target(e); |
|
| 203 |
check(!bf.reached(u) || (bf.dist(v) - bf.dist(u) <= length[e]), |
|
| 204 |
"Wrong output. dist(target)-dist(source)-arc_length=" << |
|
| 205 |
bf.dist(v) - bf.dist(u) - length[e]); |
|
| 206 |
} |
|
| 207 |
|
|
| 208 |
for(NodeIt v(gr); v!=INVALID; ++v) {
|
|
| 209 |
if (bf.reached(v)) {
|
|
| 210 |
check(v==s || bf.predArc(v)!=INVALID, "Wrong tree."); |
|
| 211 |
if (bf.predArc(v)!=INVALID ) {
|
|
| 212 |
Arc e=bf.predArc(v); |
|
| 213 |
Node u=gr.source(e); |
|
| 214 |
check(u==bf.predNode(v),"Wrong tree."); |
|
| 215 |
check(bf.dist(v) - bf.dist(u) == length[e], |
|
| 216 |
"Wrong distance! Difference: " << |
|
| 217 |
bf.dist(v) - bf.dist(u) - length[e]); |
|
| 218 |
} |
|
| 219 |
} |
|
| 220 |
} |
|
| 221 |
} |
|
| 222 |
|
|
| 223 |
void checkBellmanFordNegativeCycle() {
|
|
| 224 |
DIGRAPH_TYPEDEFS(SmartDigraph); |
|
| 225 |
|
|
| 226 |
SmartDigraph gr; |
|
| 227 |
IntArcMap length(gr); |
|
| 228 |
|
|
| 229 |
Node n1 = gr.addNode(); |
|
| 230 |
Node n2 = gr.addNode(); |
|
| 231 |
Node n3 = gr.addNode(); |
|
| 232 |
Node n4 = gr.addNode(); |
|
| 233 |
|
|
| 234 |
Arc a1 = gr.addArc(n1, n2); |
|
| 235 |
Arc a2 = gr.addArc(n2, n2); |
|
| 236 |
|
|
| 237 |
length[a1] = 2; |
|
| 238 |
length[a2] = -1; |
|
| 239 |
|
|
| 240 |
{
|
|
| 241 |
BellmanFord<SmartDigraph, IntArcMap> bf(gr, length); |
|
| 242 |
bf.run(n1); |
|
| 243 |
StaticPath<SmartDigraph> p = bf.negativeCycle(); |
|
| 244 |
check(p.length() == 1 && p.front() == p.back() && p.front() == a2, |
|
| 245 |
"Wrong negative cycle."); |
|
| 246 |
} |
|
| 247 |
|
|
| 248 |
length[a2] = 0; |
|
| 249 |
|
|
| 250 |
{
|
|
| 251 |
BellmanFord<SmartDigraph, IntArcMap> bf(gr, length); |
|
| 252 |
bf.run(n1); |
|
| 253 |
check(bf.negativeCycle().empty(), |
|
| 254 |
"Negative cycle should not be found."); |
|
| 255 |
} |
|
| 256 |
|
|
| 257 |
length[gr.addArc(n1, n3)] = 5; |
|
| 258 |
length[gr.addArc(n4, n3)] = 1; |
|
| 259 |
length[gr.addArc(n2, n4)] = 2; |
|
| 260 |
length[gr.addArc(n3, n2)] = -4; |
|
| 261 |
|
|
| 262 |
{
|
|
| 263 |
BellmanFord<SmartDigraph, IntArcMap> bf(gr, length); |
|
| 264 |
bf.init(); |
|
| 265 |
bf.addSource(n1); |
|
| 266 |
for (int i = 0; i < 4; ++i) {
|
|
| 267 |
check(bf.negativeCycle().empty(), |
|
| 268 |
"Negative cycle should not be found."); |
|
| 269 |
bf.processNextRound(); |
|
| 270 |
} |
|
| 271 |
StaticPath<SmartDigraph> p = bf.negativeCycle(); |
|
| 272 |
check(p.length() == 3, "Wrong negative cycle."); |
|
| 273 |
check(length[p.nth(0)] + length[p.nth(1)] + length[p.nth(2)] == -1, |
|
| 274 |
"Wrong negative cycle."); |
|
| 275 |
} |
|
| 276 |
} |
|
| 277 |
|
|
| 278 |
int main() {
|
|
| 279 |
checkBellmanFord<ListDigraph, int>(); |
|
| 280 |
checkBellmanFord<SmartDigraph, double>(); |
|
| 281 |
checkBellmanFordNegativeCycle(); |
|
| 282 |
return 0; |
|
| 283 |
} |
| ... | ... |
@@ -49,385 +49,414 @@ |
| 49 | 49 |
arcs have to be hidden or the reverse oriented graph have to be used, then |
| 50 | 50 |
this is the case. It also may happen that in a flow implementation |
| 51 | 51 |
the residual graph can be accessed by another algorithm, or a node-set |
| 52 | 52 |
is to be shrunk for another algorithm. |
| 53 | 53 |
LEMON also provides a variety of graphs for these requirements called |
| 54 | 54 |
\ref graph_adaptors "graph adaptors". Adaptors cannot be used alone but only |
| 55 | 55 |
in conjunction with other graph representations. |
| 56 | 56 |
|
| 57 | 57 |
You are free to use the graph structure that fit your requirements |
| 58 | 58 |
the best, most graph algorithms and auxiliary data structures can be used |
| 59 | 59 |
with any graph structure. |
| 60 | 60 |
|
| 61 | 61 |
<b>See also:</b> \ref graph_concepts "Graph Structure Concepts". |
| 62 | 62 |
*/ |
| 63 | 63 |
|
| 64 | 64 |
/** |
| 65 | 65 |
@defgroup graph_adaptors Adaptor Classes for Graphs |
| 66 | 66 |
@ingroup graphs |
| 67 | 67 |
\brief Adaptor classes for digraphs and graphs |
| 68 | 68 |
|
| 69 | 69 |
This group contains several useful adaptor classes for digraphs and graphs. |
| 70 | 70 |
|
| 71 | 71 |
The main parts of LEMON are the different graph structures, generic |
| 72 | 72 |
graph algorithms, graph concepts, which couple them, and graph |
| 73 | 73 |
adaptors. While the previous notions are more or less clear, the |
| 74 | 74 |
latter one needs further explanation. Graph adaptors are graph classes |
| 75 | 75 |
which serve for considering graph structures in different ways. |
| 76 | 76 |
|
| 77 | 77 |
A short example makes this much clearer. Suppose that we have an |
| 78 | 78 |
instance \c g of a directed graph type, say ListDigraph and an algorithm |
| 79 | 79 |
\code |
| 80 | 80 |
template <typename Digraph> |
| 81 | 81 |
int algorithm(const Digraph&); |
| 82 | 82 |
\endcode |
| 83 | 83 |
is needed to run on the reverse oriented graph. It may be expensive |
| 84 | 84 |
(in time or in memory usage) to copy \c g with the reversed |
| 85 | 85 |
arcs. In this case, an adaptor class is used, which (according |
| 86 | 86 |
to LEMON \ref concepts::Digraph "digraph concepts") works as a digraph. |
| 87 | 87 |
The adaptor uses the original digraph structure and digraph operations when |
| 88 | 88 |
methods of the reversed oriented graph are called. This means that the adaptor |
| 89 | 89 |
have minor memory usage, and do not perform sophisticated algorithmic |
| 90 | 90 |
actions. The purpose of it is to give a tool for the cases when a |
| 91 | 91 |
graph have to be used in a specific alteration. If this alteration is |
| 92 | 92 |
obtained by a usual construction like filtering the node or the arc set or |
| 93 | 93 |
considering a new orientation, then an adaptor is worthwhile to use. |
| 94 | 94 |
To come back to the reverse oriented graph, in this situation |
| 95 | 95 |
\code |
| 96 | 96 |
template<typename Digraph> class ReverseDigraph; |
| 97 | 97 |
\endcode |
| 98 | 98 |
template class can be used. The code looks as follows |
| 99 | 99 |
\code |
| 100 | 100 |
ListDigraph g; |
| 101 | 101 |
ReverseDigraph<ListDigraph> rg(g); |
| 102 | 102 |
int result = algorithm(rg); |
| 103 | 103 |
\endcode |
| 104 | 104 |
During running the algorithm, the original digraph \c g is untouched. |
| 105 | 105 |
This techniques give rise to an elegant code, and based on stable |
| 106 | 106 |
graph adaptors, complex algorithms can be implemented easily. |
| 107 | 107 |
|
| 108 | 108 |
In flow, circulation and matching problems, the residual |
| 109 | 109 |
graph is of particular importance. Combining an adaptor implementing |
| 110 | 110 |
this with shortest path algorithms or minimum mean cycle algorithms, |
| 111 | 111 |
a range of weighted and cardinality optimization algorithms can be |
| 112 | 112 |
obtained. For other examples, the interested user is referred to the |
| 113 | 113 |
detailed documentation of particular adaptors. |
| 114 | 114 |
|
| 115 | 115 |
The behavior of graph adaptors can be very different. Some of them keep |
| 116 | 116 |
capabilities of the original graph while in other cases this would be |
| 117 | 117 |
meaningless. This means that the concepts that they meet depend |
| 118 | 118 |
on the graph adaptor, and the wrapped graph. |
| 119 | 119 |
For example, if an arc of a reversed digraph is deleted, this is carried |
| 120 | 120 |
out by deleting the corresponding arc of the original digraph, thus the |
| 121 | 121 |
adaptor modifies the original digraph. |
| 122 | 122 |
However in case of a residual digraph, this operation has no sense. |
| 123 | 123 |
|
| 124 | 124 |
Let us stand one more example here to simplify your work. |
| 125 | 125 |
ReverseDigraph has constructor |
| 126 | 126 |
\code |
| 127 | 127 |
ReverseDigraph(Digraph& digraph); |
| 128 | 128 |
\endcode |
| 129 | 129 |
This means that in a situation, when a <tt>const %ListDigraph&</tt> |
| 130 | 130 |
reference to a graph is given, then it have to be instantiated with |
| 131 | 131 |
<tt>Digraph=const %ListDigraph</tt>. |
| 132 | 132 |
\code |
| 133 | 133 |
int algorithm1(const ListDigraph& g) {
|
| 134 | 134 |
ReverseDigraph<const ListDigraph> rg(g); |
| 135 | 135 |
return algorithm2(rg); |
| 136 | 136 |
} |
| 137 | 137 |
\endcode |
| 138 | 138 |
*/ |
| 139 | 139 |
|
| 140 | 140 |
/** |
| 141 | 141 |
@defgroup maps Maps |
| 142 | 142 |
@ingroup datas |
| 143 | 143 |
\brief Map structures implemented in LEMON. |
| 144 | 144 |
|
| 145 | 145 |
This group contains the map structures implemented in LEMON. |
| 146 | 146 |
|
| 147 | 147 |
LEMON provides several special purpose maps and map adaptors that e.g. combine |
| 148 | 148 |
new maps from existing ones. |
| 149 | 149 |
|
| 150 | 150 |
<b>See also:</b> \ref map_concepts "Map Concepts". |
| 151 | 151 |
*/ |
| 152 | 152 |
|
| 153 | 153 |
/** |
| 154 | 154 |
@defgroup graph_maps Graph Maps |
| 155 | 155 |
@ingroup maps |
| 156 | 156 |
\brief Special graph-related maps. |
| 157 | 157 |
|
| 158 | 158 |
This group contains maps that are specifically designed to assign |
| 159 | 159 |
values to the nodes and arcs/edges of graphs. |
| 160 | 160 |
|
| 161 | 161 |
If you are looking for the standard graph maps (\c NodeMap, \c ArcMap, |
| 162 | 162 |
\c EdgeMap), see the \ref graph_concepts "Graph Structure Concepts". |
| 163 | 163 |
*/ |
| 164 | 164 |
|
| 165 | 165 |
/** |
| 166 | 166 |
\defgroup map_adaptors Map Adaptors |
| 167 | 167 |
\ingroup maps |
| 168 | 168 |
\brief Tools to create new maps from existing ones |
| 169 | 169 |
|
| 170 | 170 |
This group contains map adaptors that are used to create "implicit" |
| 171 | 171 |
maps from other maps. |
| 172 | 172 |
|
| 173 | 173 |
Most of them are \ref concepts::ReadMap "read-only maps". |
| 174 | 174 |
They can make arithmetic and logical operations between one or two maps |
| 175 | 175 |
(negation, shifting, addition, multiplication, logical 'and', 'or', |
| 176 | 176 |
'not' etc.) or e.g. convert a map to another one of different Value type. |
| 177 | 177 |
|
| 178 | 178 |
The typical usage of this classes is passing implicit maps to |
| 179 | 179 |
algorithms. If a function type algorithm is called then the function |
| 180 | 180 |
type map adaptors can be used comfortable. For example let's see the |
| 181 | 181 |
usage of map adaptors with the \c graphToEps() function. |
| 182 | 182 |
\code |
| 183 | 183 |
Color nodeColor(int deg) {
|
| 184 | 184 |
if (deg >= 2) {
|
| 185 | 185 |
return Color(0.5, 0.0, 0.5); |
| 186 | 186 |
} else if (deg == 1) {
|
| 187 | 187 |
return Color(1.0, 0.5, 1.0); |
| 188 | 188 |
} else {
|
| 189 | 189 |
return Color(0.0, 0.0, 0.0); |
| 190 | 190 |
} |
| 191 | 191 |
} |
| 192 | 192 |
|
| 193 | 193 |
Digraph::NodeMap<int> degree_map(graph); |
| 194 | 194 |
|
| 195 | 195 |
graphToEps(graph, "graph.eps") |
| 196 | 196 |
.coords(coords).scaleToA4().undirected() |
| 197 | 197 |
.nodeColors(composeMap(functorToMap(nodeColor), degree_map)) |
| 198 | 198 |
.run(); |
| 199 | 199 |
\endcode |
| 200 | 200 |
The \c functorToMap() function makes an \c int to \c Color map from the |
| 201 | 201 |
\c nodeColor() function. The \c composeMap() compose the \c degree_map |
| 202 | 202 |
and the previously created map. The composed map is a proper function to |
| 203 | 203 |
get the color of each node. |
| 204 | 204 |
|
| 205 | 205 |
The usage with class type algorithms is little bit harder. In this |
| 206 | 206 |
case the function type map adaptors can not be used, because the |
| 207 | 207 |
function map adaptors give back temporary objects. |
| 208 | 208 |
\code |
| 209 | 209 |
Digraph graph; |
| 210 | 210 |
|
| 211 | 211 |
typedef Digraph::ArcMap<double> DoubleArcMap; |
| 212 | 212 |
DoubleArcMap length(graph); |
| 213 | 213 |
DoubleArcMap speed(graph); |
| 214 | 214 |
|
| 215 | 215 |
typedef DivMap<DoubleArcMap, DoubleArcMap> TimeMap; |
| 216 | 216 |
TimeMap time(length, speed); |
| 217 | 217 |
|
| 218 | 218 |
Dijkstra<Digraph, TimeMap> dijkstra(graph, time); |
| 219 | 219 |
dijkstra.run(source, target); |
| 220 | 220 |
\endcode |
| 221 | 221 |
We have a length map and a maximum speed map on the arcs of a digraph. |
| 222 | 222 |
The minimum time to pass the arc can be calculated as the division of |
| 223 | 223 |
the two maps which can be done implicitly with the \c DivMap template |
| 224 | 224 |
class. We use the implicit minimum time map as the length map of the |
| 225 | 225 |
\c Dijkstra algorithm. |
| 226 | 226 |
*/ |
| 227 | 227 |
|
| 228 | 228 |
/** |
| 229 | 229 |
@defgroup paths Path Structures |
| 230 | 230 |
@ingroup datas |
| 231 | 231 |
\brief %Path structures implemented in LEMON. |
| 232 | 232 |
|
| 233 | 233 |
This group contains the path structures implemented in LEMON. |
| 234 | 234 |
|
| 235 | 235 |
LEMON provides flexible data structures to work with paths. |
| 236 | 236 |
All of them have similar interfaces and they can be copied easily with |
| 237 | 237 |
assignment operators and copy constructors. This makes it easy and |
| 238 | 238 |
efficient to have e.g. the Dijkstra algorithm to store its result in |
| 239 | 239 |
any kind of path structure. |
| 240 | 240 |
|
| 241 |
\sa |
|
| 241 |
\sa \ref concepts::Path "Path concept" |
|
| 242 |
*/ |
|
| 243 |
|
|
| 244 |
/** |
|
| 245 |
@defgroup heaps Heap Structures |
|
| 246 |
@ingroup datas |
|
| 247 |
\brief %Heap structures implemented in LEMON. |
|
| 248 |
|
|
| 249 |
This group contains the heap structures implemented in LEMON. |
|
| 250 |
|
|
| 251 |
LEMON provides several heap classes. They are efficient implementations |
|
| 252 |
of the abstract data type \e priority \e queue. They store items with |
|
| 253 |
specified values called \e priorities in such a way that finding and |
|
| 254 |
removing the item with minimum priority are efficient. |
|
| 255 |
The basic operations are adding and erasing items, changing the priority |
|
| 256 |
of an item, etc. |
|
| 257 |
|
|
| 258 |
Heaps are crucial in several algorithms, such as Dijkstra and Prim. |
|
| 259 |
The heap implementations have the same interface, thus any of them can be |
|
| 260 |
used easily in such algorithms. |
|
| 261 |
|
|
| 262 |
\sa \ref concepts::Heap "Heap concept" |
|
| 263 |
*/ |
|
| 264 |
|
|
| 265 |
/** |
|
| 266 |
@defgroup matrices Matrices |
|
| 267 |
@ingroup datas |
|
| 268 |
\brief Two dimensional data storages implemented in LEMON. |
|
| 269 |
|
|
| 270 |
This group contains two dimensional data storages implemented in LEMON. |
|
| 242 | 271 |
*/ |
| 243 | 272 |
|
| 244 | 273 |
/** |
| 245 | 274 |
@defgroup auxdat Auxiliary Data Structures |
| 246 | 275 |
@ingroup datas |
| 247 | 276 |
\brief Auxiliary data structures implemented in LEMON. |
| 248 | 277 |
|
| 249 | 278 |
This group contains some data structures implemented in LEMON in |
| 250 | 279 |
order to make it easier to implement combinatorial algorithms. |
| 251 | 280 |
*/ |
| 252 | 281 |
|
| 253 | 282 |
/** |
| 254 | 283 |
@defgroup geomdat Geometric Data Structures |
| 255 | 284 |
@ingroup auxdat |
| 256 | 285 |
\brief Geometric data structures implemented in LEMON. |
| 257 | 286 |
|
| 258 | 287 |
This group contains geometric data structures implemented in LEMON. |
| 259 | 288 |
|
| 260 | 289 |
- \ref lemon::dim2::Point "dim2::Point" implements a two dimensional |
| 261 | 290 |
vector with the usual operations. |
| 262 | 291 |
- \ref lemon::dim2::Box "dim2::Box" can be used to determine the |
| 263 | 292 |
rectangular bounding box of a set of \ref lemon::dim2::Point |
| 264 | 293 |
"dim2::Point"'s. |
| 265 | 294 |
*/ |
| 266 | 295 |
|
| 267 | 296 |
/** |
| 268 | 297 |
@defgroup matrices Matrices |
| 269 | 298 |
@ingroup auxdat |
| 270 | 299 |
\brief Two dimensional data storages implemented in LEMON. |
| 271 | 300 |
|
| 272 | 301 |
This group contains two dimensional data storages implemented in LEMON. |
| 273 | 302 |
*/ |
| 274 | 303 |
|
| 275 | 304 |
/** |
| 276 | 305 |
@defgroup algs Algorithms |
| 277 | 306 |
\brief This group contains the several algorithms |
| 278 | 307 |
implemented in LEMON. |
| 279 | 308 |
|
| 280 | 309 |
This group contains the several algorithms |
| 281 | 310 |
implemented in LEMON. |
| 282 | 311 |
*/ |
| 283 | 312 |
|
| 284 | 313 |
/** |
| 285 | 314 |
@defgroup search Graph Search |
| 286 | 315 |
@ingroup algs |
| 287 | 316 |
\brief Common graph search algorithms. |
| 288 | 317 |
|
| 289 | 318 |
This group contains the common graph search algorithms, namely |
| 290 | 319 |
\e breadth-first \e search (BFS) and \e depth-first \e search (DFS). |
| 291 | 320 |
*/ |
| 292 | 321 |
|
| 293 | 322 |
/** |
| 294 | 323 |
@defgroup shortest_path Shortest Path Algorithms |
| 295 | 324 |
@ingroup algs |
| 296 | 325 |
\brief Algorithms for finding shortest paths. |
| 297 | 326 |
|
| 298 | 327 |
This group contains the algorithms for finding shortest paths in digraphs. |
| 299 | 328 |
|
| 300 | 329 |
- \ref Dijkstra algorithm for finding shortest paths from a source node |
| 301 | 330 |
when all arc lengths are non-negative. |
| 302 | 331 |
- \ref BellmanFord "Bellman-Ford" algorithm for finding shortest paths |
| 303 | 332 |
from a source node when arc lenghts can be either positive or negative, |
| 304 | 333 |
but the digraph should not contain directed cycles with negative total |
| 305 | 334 |
length. |
| 306 | 335 |
- \ref FloydWarshall "Floyd-Warshall" and \ref Johnson "Johnson" algorithms |
| 307 | 336 |
for solving the \e all-pairs \e shortest \e paths \e problem when arc |
| 308 | 337 |
lenghts can be either positive or negative, but the digraph should |
| 309 | 338 |
not contain directed cycles with negative total length. |
| 310 | 339 |
- \ref Suurballe A successive shortest path algorithm for finding |
| 311 | 340 |
arc-disjoint paths between two nodes having minimum total length. |
| 312 | 341 |
*/ |
| 313 | 342 |
|
| 314 | 343 |
/** |
| 315 | 344 |
@defgroup spantree Minimum Spanning Tree Algorithms |
| 316 | 345 |
@ingroup algs |
| 317 | 346 |
\brief Algorithms for finding minimum cost spanning trees and arborescences. |
| 318 | 347 |
|
| 319 | 348 |
This group contains the algorithms for finding minimum cost spanning |
| 320 | 349 |
trees and arborescences. |
| 321 | 350 |
*/ |
| 322 | 351 |
|
| 323 | 352 |
/** |
| 324 | 353 |
@defgroup max_flow Maximum Flow Algorithms |
| 325 | 354 |
@ingroup algs |
| 326 | 355 |
\brief Algorithms for finding maximum flows. |
| 327 | 356 |
|
| 328 | 357 |
This group contains the algorithms for finding maximum flows and |
| 329 | 358 |
feasible circulations. |
| 330 | 359 |
|
| 331 | 360 |
The \e maximum \e flow \e problem is to find a flow of maximum value between |
| 332 | 361 |
a single source and a single target. Formally, there is a \f$G=(V,A)\f$ |
| 333 | 362 |
digraph, a \f$cap: A\rightarrow\mathbf{R}^+_0\f$ capacity function and
|
| 334 | 363 |
\f$s, t \in V\f$ source and target nodes. |
| 335 | 364 |
A maximum flow is an \f$f: A\rightarrow\mathbf{R}^+_0\f$ solution of the
|
| 336 | 365 |
following optimization problem. |
| 337 | 366 |
|
| 338 | 367 |
\f[ \max\sum_{sv\in A} f(sv) - \sum_{vs\in A} f(vs) \f]
|
| 339 | 368 |
\f[ \sum_{uv\in A} f(uv) = \sum_{vu\in A} f(vu)
|
| 340 | 369 |
\quad \forall u\in V\setminus\{s,t\} \f]
|
| 341 | 370 |
\f[ 0 \leq f(uv) \leq cap(uv) \quad \forall uv\in A \f] |
| 342 | 371 |
|
| 343 | 372 |
LEMON contains several algorithms for solving maximum flow problems: |
| 344 | 373 |
- \ref EdmondsKarp Edmonds-Karp algorithm. |
| 345 | 374 |
- \ref Preflow Goldberg-Tarjan's preflow push-relabel algorithm. |
| 346 | 375 |
- \ref DinitzSleatorTarjan Dinitz's blocking flow algorithm with dynamic trees. |
| 347 | 376 |
- \ref GoldbergTarjan Preflow push-relabel algorithm with dynamic trees. |
| 348 | 377 |
|
| 349 | 378 |
In most cases the \ref Preflow "Preflow" algorithm provides the |
| 350 | 379 |
fastest method for computing a maximum flow. All implementations |
| 351 | 380 |
also provide functions to query the minimum cut, which is the dual |
| 352 | 381 |
problem of maximum flow. |
| 353 | 382 |
|
| 354 | 383 |
\ref Circulation is a preflow push-relabel algorithm implemented directly |
| 355 | 384 |
for finding feasible circulations, which is a somewhat different problem, |
| 356 | 385 |
but it is strongly related to maximum flow. |
| 357 | 386 |
For more information, see \ref Circulation. |
| 358 | 387 |
*/ |
| 359 | 388 |
|
| 360 | 389 |
/** |
| 361 | 390 |
@defgroup min_cost_flow_algs Minimum Cost Flow Algorithms |
| 362 | 391 |
@ingroup algs |
| 363 | 392 |
|
| 364 | 393 |
\brief Algorithms for finding minimum cost flows and circulations. |
| 365 | 394 |
|
| 366 | 395 |
This group contains the algorithms for finding minimum cost flows and |
| 367 | 396 |
circulations. For more information about this problem and its dual |
| 368 | 397 |
solution see \ref min_cost_flow "Minimum Cost Flow Problem". |
| 369 | 398 |
|
| 370 | 399 |
LEMON contains several algorithms for this problem. |
| 371 | 400 |
- \ref NetworkSimplex Primal Network Simplex algorithm with various |
| 372 | 401 |
pivot strategies. |
| 373 | 402 |
- \ref CostScaling Push-Relabel and Augment-Relabel algorithms based on |
| 374 | 403 |
cost scaling. |
| 375 | 404 |
- \ref CapacityScaling Successive Shortest %Path algorithm with optional |
| 376 | 405 |
capacity scaling. |
| 377 | 406 |
- \ref CancelAndTighten The Cancel and Tighten algorithm. |
| 378 | 407 |
- \ref CycleCanceling Cycle-Canceling algorithms. |
| 379 | 408 |
|
| 380 | 409 |
In general NetworkSimplex is the most efficient implementation, |
| 381 | 410 |
but in special cases other algorithms could be faster. |
| 382 | 411 |
For example, if the total supply and/or capacities are rather small, |
| 383 | 412 |
CapacityScaling is usually the fastest algorithm (without effective scaling). |
| 384 | 413 |
*/ |
| 385 | 414 |
|
| 386 | 415 |
/** |
| 387 | 416 |
@defgroup min_cut Minimum Cut Algorithms |
| 388 | 417 |
@ingroup algs |
| 389 | 418 |
|
| 390 | 419 |
\brief Algorithms for finding minimum cut in graphs. |
| 391 | 420 |
|
| 392 | 421 |
This group contains the algorithms for finding minimum cut in graphs. |
| 393 | 422 |
|
| 394 | 423 |
The \e minimum \e cut \e problem is to find a non-empty and non-complete |
| 395 | 424 |
\f$X\f$ subset of the nodes with minimum overall capacity on |
| 396 | 425 |
outgoing arcs. Formally, there is a \f$G=(V,A)\f$ digraph, a |
| 397 | 426 |
\f$cap: A\rightarrow\mathbf{R}^+_0\f$ capacity function. The minimum
|
| 398 | 427 |
cut is the \f$X\f$ solution of the next optimization problem: |
| 399 | 428 |
|
| 400 | 429 |
\f[ \min_{X \subset V, X\not\in \{\emptyset, V\}}
|
| 401 | 430 |
\sum_{uv\in A: u\in X, v\not\in X}cap(uv) \f]
|
| 402 | 431 |
|
| 403 | 432 |
LEMON contains several algorithms related to minimum cut problems: |
| 404 | 433 |
|
| 405 | 434 |
- \ref HaoOrlin "Hao-Orlin algorithm" for calculating minimum cut |
| 406 | 435 |
in directed graphs. |
| 407 | 436 |
- \ref NagamochiIbaraki "Nagamochi-Ibaraki algorithm" for |
| 408 | 437 |
calculating minimum cut in undirected graphs. |
| 409 | 438 |
- \ref GomoryHu "Gomory-Hu tree computation" for calculating |
| 410 | 439 |
all-pairs minimum cut in undirected graphs. |
| 411 | 440 |
|
| 412 | 441 |
If you want to find minimum cut just between two distinict nodes, |
| 413 | 442 |
see the \ref max_flow "maximum flow problem". |
| 414 | 443 |
*/ |
| 415 | 444 |
|
| 416 | 445 |
/** |
| 417 | 446 |
@defgroup matching Matching Algorithms |
| 418 | 447 |
@ingroup algs |
| 419 | 448 |
\brief Algorithms for finding matchings in graphs and bipartite graphs. |
| 420 | 449 |
|
| 421 | 450 |
This group contains the algorithms for calculating |
| 422 | 451 |
matchings in graphs and bipartite graphs. The general matching problem is |
| 423 | 452 |
finding a subset of the edges for which each node has at most one incident |
| 424 | 453 |
edge. |
| 425 | 454 |
|
| 426 | 455 |
There are several different algorithms for calculate matchings in |
| 427 | 456 |
graphs. The matching problems in bipartite graphs are generally |
| 428 | 457 |
easier than in general graphs. The goal of the matching optimization |
| 429 | 458 |
can be finding maximum cardinality, maximum weight or minimum cost |
| 430 | 459 |
matching. The search can be constrained to find perfect or |
| 431 | 460 |
maximum cardinality matching. |
| 432 | 461 |
|
| 433 | 462 |
The matching algorithms implemented in LEMON: |
| 1 | 1 |
EXTRA_DIST += \ |
| 2 | 2 |
lemon/lemon.pc.in \ |
| 3 | 3 |
lemon/CMakeLists.txt \ |
| 4 | 4 |
lemon/config.h.cmake |
| 5 | 5 |
|
| 6 | 6 |
pkgconfig_DATA += lemon/lemon.pc |
| 7 | 7 |
|
| 8 | 8 |
lib_LTLIBRARIES += lemon/libemon.la |
| 9 | 9 |
|
| 10 | 10 |
lemon_libemon_la_SOURCES = \ |
| 11 | 11 |
lemon/arg_parser.cc \ |
| 12 | 12 |
lemon/base.cc \ |
| 13 | 13 |
lemon/color.cc \ |
| 14 | 14 |
lemon/lp_base.cc \ |
| 15 | 15 |
lemon/lp_skeleton.cc \ |
| 16 | 16 |
lemon/random.cc \ |
| 17 | 17 |
lemon/bits/windows.cc |
| 18 | 18 |
|
| 19 | 19 |
nodist_lemon_HEADERS = lemon/config.h |
| 20 | 20 |
|
| 21 | 21 |
lemon_libemon_la_CXXFLAGS = \ |
| 22 | 22 |
$(AM_CXXFLAGS) \ |
| 23 | 23 |
$(GLPK_CFLAGS) \ |
| 24 | 24 |
$(CPLEX_CFLAGS) \ |
| 25 | 25 |
$(SOPLEX_CXXFLAGS) \ |
| 26 | 26 |
$(CLP_CXXFLAGS) \ |
| 27 | 27 |
$(CBC_CXXFLAGS) |
| 28 | 28 |
|
| 29 | 29 |
lemon_libemon_la_LDFLAGS = \ |
| 30 | 30 |
$(GLPK_LIBS) \ |
| 31 | 31 |
$(CPLEX_LIBS) \ |
| 32 | 32 |
$(SOPLEX_LIBS) \ |
| 33 | 33 |
$(CLP_LIBS) \ |
| 34 | 34 |
$(CBC_LIBS) |
| 35 | 35 |
|
| 36 | 36 |
if HAVE_GLPK |
| 37 | 37 |
lemon_libemon_la_SOURCES += lemon/glpk.cc |
| 38 | 38 |
endif |
| 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 |
lemon/bellman_ford.h \ |
|
| 60 | 61 |
lemon/bfs.h \ |
| 61 | 62 |
lemon/bin_heap.h \ |
| 63 |
lemon/binom_heap.h \ |
|
| 62 | 64 |
lemon/bucket_heap.h \ |
| 63 | 65 |
lemon/cbc.h \ |
| 64 | 66 |
lemon/circulation.h \ |
| 65 | 67 |
lemon/clp.h \ |
| 66 | 68 |
lemon/color.h \ |
| 67 | 69 |
lemon/concept_check.h \ |
| 68 | 70 |
lemon/connectivity.h \ |
| 69 | 71 |
lemon/counter.h \ |
| 70 | 72 |
lemon/core.h \ |
| 71 | 73 |
lemon/cplex.h \ |
| 72 | 74 |
lemon/dfs.h \ |
| 73 | 75 |
lemon/dijkstra.h \ |
| 74 | 76 |
lemon/dim2.h \ |
| 75 | 77 |
lemon/dimacs.h \ |
| 76 | 78 |
lemon/edge_set.h \ |
| 77 | 79 |
lemon/elevator.h \ |
| 78 | 80 |
lemon/error.h \ |
| 79 | 81 |
lemon/euler.h \ |
| 80 | 82 |
lemon/fib_heap.h \ |
| 83 |
lemon/fourary_heap.h \ |
|
| 81 | 84 |
lemon/full_graph.h \ |
| 82 | 85 |
lemon/glpk.h \ |
| 83 | 86 |
lemon/gomory_hu.h \ |
| 84 | 87 |
lemon/graph_to_eps.h \ |
| 85 | 88 |
lemon/grid_graph.h \ |
| 86 | 89 |
lemon/hypercube_graph.h \ |
| 90 |
lemon/kary_heap.h \ |
|
| 87 | 91 |
lemon/kruskal.h \ |
| 88 | 92 |
lemon/hao_orlin.h \ |
| 89 | 93 |
lemon/lgf_reader.h \ |
| 90 | 94 |
lemon/lgf_writer.h \ |
| 91 | 95 |
lemon/list_graph.h \ |
| 92 | 96 |
lemon/lp.h \ |
| 93 | 97 |
lemon/lp_base.h \ |
| 94 | 98 |
lemon/lp_skeleton.h \ |
| 95 |
lemon/list_graph.h \ |
|
| 96 | 99 |
lemon/maps.h \ |
| 97 | 100 |
lemon/matching.h \ |
| 98 | 101 |
lemon/math.h \ |
| 99 | 102 |
lemon/min_cost_arborescence.h \ |
| 100 | 103 |
lemon/nauty_reader.h \ |
| 101 | 104 |
lemon/network_simplex.h \ |
| 105 |
lemon/pairing_heap.h \ |
|
| 102 | 106 |
lemon/path.h \ |
| 103 | 107 |
lemon/preflow.h \ |
| 104 | 108 |
lemon/radix_heap.h \ |
| 105 | 109 |
lemon/radix_sort.h \ |
| 106 | 110 |
lemon/random.h \ |
| 107 | 111 |
lemon/smart_graph.h \ |
| 108 | 112 |
lemon/soplex.h \ |
| 109 | 113 |
lemon/suurballe.h \ |
| 110 | 114 |
lemon/time_measure.h \ |
| 111 | 115 |
lemon/tolerance.h \ |
| 112 | 116 |
lemon/unionfind.h \ |
| 113 | 117 |
lemon/bits/windows.h |
| 114 | 118 |
|
| 115 | 119 |
bits_HEADERS += \ |
| 116 | 120 |
lemon/bits/alteration_notifier.h \ |
| 117 | 121 |
lemon/bits/array_map.h \ |
| 118 | 122 |
lemon/bits/bezier.h \ |
| 119 | 123 |
lemon/bits/default_map.h \ |
| 120 | 124 |
lemon/bits/edge_set_extender.h \ |
| 121 | 125 |
lemon/bits/enable_if.h \ |
| 122 | 126 |
lemon/bits/graph_adaptor_extender.h \ |
| 123 | 127 |
lemon/bits/graph_extender.h \ |
| 124 | 128 |
lemon/bits/map_extender.h \ |
| 125 | 129 |
lemon/bits/path_dump.h \ |
| 126 | 130 |
lemon/bits/solver_bits.h \ |
| 127 | 131 |
lemon/bits/traits.h \ |
| 128 | 132 |
lemon/bits/variant.h \ |
| 129 | 133 |
lemon/bits/vector_map.h |
| 130 | 134 |
|
| 131 | 135 |
concept_HEADERS += \ |
| 132 | 136 |
lemon/concepts/digraph.h \ |
| 133 | 137 |
lemon/concepts/graph.h \ |
| 134 | 138 |
lemon/concepts/graph_components.h \ |
| 135 | 139 |
lemon/concepts/heap.h \ |
| 136 | 140 |
lemon/concepts/maps.h \ |
| 137 | 141 |
lemon/concepts/path.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 | 19 |
#ifndef LEMON_BIN_HEAP_H |
| 20 | 20 |
#define LEMON_BIN_HEAP_H |
| 21 | 21 |
|
| 22 |
///\ingroup |
|
| 22 |
///\ingroup heaps |
|
| 23 | 23 |
///\file |
| 24 |
///\brief Binary |
|
| 24 |
///\brief Binary 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 |
///\ingroup |
|
| 32 |
/// \ingroup heaps |
|
| 33 | 33 |
/// |
| 34 |
///\brief |
|
| 34 |
/// \brief Binary heap data structure. |
|
| 35 | 35 |
/// |
| 36 |
///This class implements the \e binary \e heap data structure. |
|
| 36 |
/// This class implements the \e binary \e heap data structure. |
|
| 37 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
| 37 | 38 |
/// |
| 38 |
///A \e heap is a data structure for storing items with specified values |
|
| 39 |
///called \e priorities in such a way that finding the item with minimum |
|
| 40 |
///priority is efficient. \c CMP specifies the ordering of the priorities. |
|
| 41 |
///In a heap one can change the priority of an item, add or erase an |
|
| 42 |
///item, etc. |
|
| 43 |
/// |
|
| 44 |
///\tparam PR Type of the priority of the items. |
|
| 45 |
///\tparam IM A read and writable item map with int values, used internally |
|
| 46 |
///to handle the cross references. |
|
| 47 |
///\tparam CMP A functor class for the ordering of the priorities. |
|
| 48 |
///The default is \c std::less<PR>. |
|
| 49 |
/// |
|
| 50 |
///\sa FibHeap |
|
| 51 |
///\sa Dijkstra |
|
| 39 |
/// \tparam PR Type of the priorities of the items. |
|
| 40 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 41 |
/// internally to handle the cross references. |
|
| 42 |
/// \tparam CMP A functor class for comparing the priorities. |
|
| 43 |
/// The default is \c std::less<PR>. |
|
| 44 |
#ifdef DOXYGEN |
|
| 45 |
template <typename PR, typename IM, typename CMP> |
|
| 46 |
#else |
|
| 52 | 47 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
| 48 |
#endif |
|
| 53 | 49 |
class BinHeap {
|
| 50 |
public: |
|
| 54 | 51 |
|
| 55 |
public: |
|
| 56 |
///\e |
|
| 52 |
/// Type of the item-int map. |
|
| 57 | 53 |
typedef IM ItemIntMap; |
| 58 |
/// |
|
| 54 |
/// Type of the priorities. |
|
| 59 | 55 |
typedef PR Prio; |
| 60 |
/// |
|
| 56 |
/// Type of the items stored in the heap. |
|
| 61 | 57 |
typedef typename ItemIntMap::Key Item; |
| 62 |
/// |
|
| 58 |
/// Type of the item-priority pairs. |
|
| 63 | 59 |
typedef std::pair<Item,Prio> Pair; |
| 64 |
/// |
|
| 60 |
/// Functor type for comparing the priorities. |
|
| 65 | 61 |
typedef CMP Compare; |
| 66 | 62 |
|
| 67 |
/// \brief Type to represent the |
|
| 63 |
/// \brief Type to represent the states of the items. |
|
| 68 | 64 |
/// |
| 69 |
/// Each Item element have a state associated to it. It may be "in heap", |
|
| 70 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
|
| 65 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 66 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 71 | 67 |
/// heap's point of view, but may be useful to the user. |
| 72 | 68 |
/// |
| 73 | 69 |
/// The item-int map must be initialized in such way that it assigns |
| 74 | 70 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 75 | 71 |
enum State {
|
| 76 | 72 |
IN_HEAP = 0, ///< = 0. |
| 77 | 73 |
PRE_HEAP = -1, ///< = -1. |
| 78 | 74 |
POST_HEAP = -2 ///< = -2. |
| 79 | 75 |
}; |
| 80 | 76 |
|
| 81 | 77 |
private: |
| 82 | 78 |
std::vector<Pair> _data; |
| 83 | 79 |
Compare _comp; |
| 84 | 80 |
ItemIntMap &_iim; |
| 85 | 81 |
|
| 86 | 82 |
public: |
| 87 |
|
|
| 83 |
|
|
| 84 |
/// \brief Constructor. |
|
| 88 | 85 |
/// |
| 89 |
/// The constructor. |
|
| 90 |
/// \param map should be given to the constructor, since it is used |
|
| 91 |
/// internally to handle the cross references. The value of the map |
|
| 92 |
/// must be \c PRE_HEAP (<tt>-1</tt>) for every item. |
|
| 86 |
/// Constructor. |
|
| 87 |
/// \param map A map that assigns \c int values to the items. |
|
| 88 |
/// It is used internally to handle the cross references. |
|
| 89 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 93 | 90 |
explicit BinHeap(ItemIntMap &map) : _iim(map) {}
|
| 94 | 91 |
|
| 95 |
/// \brief |
|
| 92 |
/// \brief Constructor. |
|
| 96 | 93 |
/// |
| 97 |
/// The constructor. |
|
| 98 |
/// \param map should be given to the constructor, since it is used |
|
| 99 |
/// internally to handle the cross references. The value of the map |
|
| 100 |
/// should be PRE_HEAP (-1) for each element. |
|
| 101 |
/// |
|
| 102 |
/// \param comp The comparator function object. |
|
| 94 |
/// Constructor. |
|
| 95 |
/// \param map A map that assigns \c int values to the items. |
|
| 96 |
/// It is used internally to handle the cross references. |
|
| 97 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 98 |
/// \param comp The function object used for comparing the priorities. |
|
| 103 | 99 |
BinHeap(ItemIntMap &map, const Compare &comp) |
| 104 | 100 |
: _iim(map), _comp(comp) {}
|
| 105 | 101 |
|
| 106 | 102 |
|
| 107 |
/// The number of items stored in the heap. |
|
| 103 |
/// \brief The number of items stored in the heap. |
|
| 108 | 104 |
/// |
| 109 |
/// |
|
| 105 |
/// This function returns the number of items stored in the heap. |
|
| 110 | 106 |
int size() const { return _data.size(); }
|
| 111 | 107 |
|
| 112 |
/// \brief |
|
| 108 |
/// \brief Check if the heap is empty. |
|
| 113 | 109 |
/// |
| 114 |
/// |
|
| 110 |
/// This function returns \c true if the heap is empty. |
|
| 115 | 111 |
bool empty() const { return _data.empty(); }
|
| 116 | 112 |
|
| 117 |
/// \brief Make |
|
| 113 |
/// \brief Make the heap empty. |
|
| 118 | 114 |
/// |
| 119 |
/// Make empty this heap. It does not change the cross reference map. |
|
| 120 |
/// If you want to reuse what is not surely empty you should first clear |
|
| 121 |
/// the heap and after that you should set the cross reference map for |
|
| 122 |
/// each item to \c PRE_HEAP. |
|
| 115 |
/// This functon makes the heap empty. |
|
| 116 |
/// It does not change the cross reference map. If you want to reuse |
|
| 117 |
/// a heap that is not surely empty, you should first clear it and |
|
| 118 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 119 |
/// for each item. |
|
| 123 | 120 |
void clear() {
|
| 124 | 121 |
_data.clear(); |
| 125 | 122 |
} |
| 126 | 123 |
|
| 127 | 124 |
private: |
| 128 | 125 |
static int parent(int i) { return (i-1)/2; }
|
| 129 | 126 |
|
| 130 |
static int |
|
| 127 |
static int secondChild(int i) { return 2*i+2; }
|
|
| 131 | 128 |
bool less(const Pair &p1, const Pair &p2) const {
|
| 132 | 129 |
return _comp(p1.second, p2.second); |
| 133 | 130 |
} |
| 134 | 131 |
|
| 135 |
int |
|
| 132 |
int bubbleUp(int hole, Pair p) {
|
|
| 136 | 133 |
int par = parent(hole); |
| 137 | 134 |
while( hole>0 && less(p,_data[par]) ) {
|
| 138 | 135 |
move(_data[par],hole); |
| 139 | 136 |
hole = par; |
| 140 | 137 |
par = parent(hole); |
| 141 | 138 |
} |
| 142 | 139 |
move(p, hole); |
| 143 | 140 |
return hole; |
| 144 | 141 |
} |
| 145 | 142 |
|
| 146 |
int bubble_down(int hole, Pair p, int length) {
|
|
| 147 |
int child = second_child(hole); |
|
| 143 |
int bubbleDown(int hole, Pair p, int length) {
|
|
| 144 |
int child = secondChild(hole); |
|
| 148 | 145 |
while(child < length) {
|
| 149 | 146 |
if( less(_data[child-1], _data[child]) ) {
|
| 150 | 147 |
--child; |
| 151 | 148 |
} |
| 152 | 149 |
if( !less(_data[child], p) ) |
| 153 | 150 |
goto ok; |
| 154 | 151 |
move(_data[child], hole); |
| 155 | 152 |
hole = child; |
| 156 |
child = |
|
| 153 |
child = secondChild(hole); |
|
| 157 | 154 |
} |
| 158 | 155 |
child--; |
| 159 | 156 |
if( child<length && less(_data[child], p) ) {
|
| 160 | 157 |
move(_data[child], hole); |
| 161 | 158 |
hole=child; |
| 162 | 159 |
} |
| 163 | 160 |
ok: |
| 164 | 161 |
move(p, hole); |
| 165 | 162 |
return hole; |
| 166 | 163 |
} |
| 167 | 164 |
|
| 168 | 165 |
void move(const Pair &p, int i) {
|
| 169 | 166 |
_data[i] = p; |
| 170 | 167 |
_iim.set(p.first, i); |
| 171 | 168 |
} |
| 172 | 169 |
|
| 173 | 170 |
public: |
| 171 |
|
|
| 174 | 172 |
/// \brief Insert a pair of item and priority into the heap. |
| 175 | 173 |
/// |
| 176 |
/// |
|
| 174 |
/// This function inserts \c p.first to the heap with priority |
|
| 175 |
/// \c p.second. |
|
| 177 | 176 |
/// \param p The pair to insert. |
| 177 |
/// \pre \c p.first must not be stored in the heap. |
|
| 178 | 178 |
void push(const Pair &p) {
|
| 179 | 179 |
int n = _data.size(); |
| 180 | 180 |
_data.resize(n+1); |
| 181 |
|
|
| 181 |
bubbleUp(n, p); |
|
| 182 | 182 |
} |
| 183 | 183 |
|
| 184 |
/// \brief Insert an item into the heap with the given |
|
| 184 |
/// \brief Insert an item into the heap with the given priority. |
|
| 185 | 185 |
/// |
| 186 |
/// |
|
| 186 |
/// This function inserts the given item into the heap with the |
|
| 187 |
/// given priority. |
|
| 187 | 188 |
/// \param i The item to insert. |
| 188 | 189 |
/// \param p The priority of the item. |
| 190 |
/// \pre \e i must not be stored in the heap. |
|
| 189 | 191 |
void push(const Item &i, const Prio &p) { push(Pair(i,p)); }
|
| 190 | 192 |
|
| 191 |
/// \brief |
|
| 193 |
/// \brief Return the item having minimum priority. |
|
| 192 | 194 |
/// |
| 193 |
/// This method returns the item with minimum priority relative to \c |
|
| 194 |
/// Compare. |
|
| 195 |
/// |
|
| 195 |
/// This function returns the item having minimum priority. |
|
| 196 |
/// \pre The heap must be non-empty. |
|
| 196 | 197 |
Item top() const {
|
| 197 | 198 |
return _data[0].first; |
| 198 | 199 |
} |
| 199 | 200 |
|
| 200 |
/// \brief |
|
| 201 |
/// \brief The minimum priority. |
|
| 201 | 202 |
/// |
| 202 |
/// It returns the minimum priority relative to \c Compare. |
|
| 203 |
/// \pre The heap must be nonempty. |
|
| 203 |
/// This function returns the minimum priority. |
|
| 204 |
/// \pre The heap must be non-empty. |
|
| 204 | 205 |
Prio prio() const {
|
| 205 | 206 |
return _data[0].second; |
| 206 | 207 |
} |
| 207 | 208 |
|
| 208 |
/// \brief |
|
| 209 |
/// \brief Remove the item having minimum priority. |
|
| 209 | 210 |
/// |
| 210 |
/// This method deletes the item with minimum priority relative to \c |
|
| 211 |
/// Compare from the heap. |
|
| 211 |
/// This function removes the item having minimum priority. |
|
| 212 | 212 |
/// \pre The heap must be non-empty. |
| 213 | 213 |
void pop() {
|
| 214 | 214 |
int n = _data.size()-1; |
| 215 | 215 |
_iim.set(_data[0].first, POST_HEAP); |
| 216 | 216 |
if (n > 0) {
|
| 217 |
|
|
| 217 |
bubbleDown(0, _data[n], n); |
|
| 218 | 218 |
} |
| 219 | 219 |
_data.pop_back(); |
| 220 | 220 |
} |
| 221 | 221 |
|
| 222 |
/// \brief |
|
| 222 |
/// \brief Remove the given item from the heap. |
|
| 223 | 223 |
/// |
| 224 |
/// This method deletes item \c i from the heap. |
|
| 225 |
/// \param i The item to erase. |
|
| 226 |
/// |
|
| 224 |
/// This function removes the given item from the heap if it is |
|
| 225 |
/// already stored. |
|
| 226 |
/// \param i The item to delete. |
|
| 227 |
/// \pre \e i must be in the heap. |
|
| 227 | 228 |
void erase(const Item &i) {
|
| 228 | 229 |
int h = _iim[i]; |
| 229 | 230 |
int n = _data.size()-1; |
| 230 | 231 |
_iim.set(_data[h].first, POST_HEAP); |
| 231 | 232 |
if( h < n ) {
|
| 232 |
if ( bubble_up(h, _data[n]) == h) {
|
|
| 233 |
bubble_down(h, _data[n], n); |
|
| 233 |
if ( bubbleUp(h, _data[n]) == h) {
|
|
| 234 |
bubbleDown(h, _data[n], n); |
|
| 234 | 235 |
} |
| 235 | 236 |
} |
| 236 | 237 |
_data.pop_back(); |
| 237 | 238 |
} |
| 238 | 239 |
|
| 239 |
|
|
| 240 |
/// \brief Returns the priority of \c i. |
|
| 240 |
/// \brief The priority of the given item. |
|
| 241 | 241 |
/// |
| 242 |
/// This function returns the priority of |
|
| 242 |
/// This function returns the priority of the given item. |
|
| 243 | 243 |
/// \param i The item. |
| 244 |
/// \pre \ |
|
| 244 |
/// \pre \e i must be in the heap. |
|
| 245 | 245 |
Prio operator[](const Item &i) const {
|
| 246 | 246 |
int idx = _iim[i]; |
| 247 | 247 |
return _data[idx].second; |
| 248 | 248 |
} |
| 249 | 249 |
|
| 250 |
/// \brief \c i gets to the heap with priority \c p independently |
|
| 251 |
/// if \c i was already there. |
|
| 250 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 251 |
/// not stored in the heap. |
|
| 252 | 252 |
/// |
| 253 |
/// This method calls \ref push(\c i, \c p) if \c i is not stored |
|
| 254 |
/// in the heap and sets the priority of \c i to \c p otherwise. |
|
| 253 |
/// This method sets the priority of the given item if it is |
|
| 254 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 255 |
/// item into the heap with the given priority. |
|
| 255 | 256 |
/// \param i The item. |
| 256 | 257 |
/// \param p The priority. |
| 257 | 258 |
void set(const Item &i, const Prio &p) {
|
| 258 | 259 |
int idx = _iim[i]; |
| 259 | 260 |
if( idx < 0 ) {
|
| 260 | 261 |
push(i,p); |
| 261 | 262 |
} |
| 262 | 263 |
else if( _comp(p, _data[idx].second) ) {
|
| 263 |
|
|
| 264 |
bubbleUp(idx, Pair(i,p)); |
|
| 264 | 265 |
} |
| 265 | 266 |
else {
|
| 266 |
|
|
| 267 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
| 267 | 268 |
} |
| 268 | 269 |
} |
| 269 | 270 |
|
| 270 |
/// \brief |
|
| 271 |
/// \brief Decrease the priority of an item to the given value. |
|
| 271 | 272 |
/// |
| 272 |
/// This |
|
| 273 |
/// This function decreases the priority of an item to the given value. |
|
| 273 | 274 |
/// \param i The item. |
| 274 | 275 |
/// \param p The priority. |
| 275 |
/// \pre \c i must be stored in the heap with priority at least \c |
|
| 276 |
/// p relative to \c Compare. |
|
| 276 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
| 277 | 277 |
void decrease(const Item &i, const Prio &p) {
|
| 278 | 278 |
int idx = _iim[i]; |
| 279 |
|
|
| 279 |
bubbleUp(idx, Pair(i,p)); |
|
| 280 | 280 |
} |
| 281 | 281 |
|
| 282 |
/// \brief |
|
| 282 |
/// \brief Increase the priority of an item to the given value. |
|
| 283 | 283 |
/// |
| 284 |
/// This |
|
| 284 |
/// This function increases the priority of an item to the given value. |
|
| 285 | 285 |
/// \param i The item. |
| 286 | 286 |
/// \param p The priority. |
| 287 |
/// \pre \c i must be stored in the heap with priority at most \c |
|
| 288 |
/// p relative to \c Compare. |
|
| 287 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
| 289 | 288 |
void increase(const Item &i, const Prio &p) {
|
| 290 | 289 |
int idx = _iim[i]; |
| 291 |
|
|
| 290 |
bubbleDown(idx, Pair(i,p), _data.size()); |
|
| 292 | 291 |
} |
| 293 | 292 |
|
| 294 |
/// \brief Returns if \c item is in, has already been in, or has |
|
| 295 |
/// never been in the heap. |
|
| 293 |
/// \brief Return the state of an item. |
|
| 296 | 294 |
/// |
| 297 |
/// This method returns PRE_HEAP if \c item has never been in the |
|
| 298 |
/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
|
| 299 |
/// otherwise. In the latter case it is possible that \c item will |
|
| 300 |
/// get back to the heap again. |
|
| 295 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 296 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 297 |
/// and \c POST_HEAP otherwise. |
|
| 298 |
/// In the latter case it is possible that the item will get back |
|
| 299 |
/// to the heap again. |
|
| 301 | 300 |
/// \param i The item. |
| 302 | 301 |
State state(const Item &i) const {
|
| 303 | 302 |
int s = _iim[i]; |
| 304 | 303 |
if( s>=0 ) |
| 305 | 304 |
s=0; |
| 306 | 305 |
return State(s); |
| 307 | 306 |
} |
| 308 | 307 |
|
| 309 |
/// \brief |
|
| 308 |
/// \brief Set the state of an item in the heap. |
|
| 310 | 309 |
/// |
| 311 |
/// Sets the state of the \c item in the heap. It can be used to |
|
| 312 |
/// manually clear the heap when it is important to achive the |
|
| 313 |
/// |
|
| 310 |
/// This function sets the state of the given item in the heap. |
|
| 311 |
/// It can be used to manually clear the heap when it is important |
|
| 312 |
/// to achive better time complexity. |
|
| 314 | 313 |
/// \param i The item. |
| 315 | 314 |
/// \param st The state. It should not be \c IN_HEAP. |
| 316 | 315 |
void state(const Item& i, State st) {
|
| 317 | 316 |
switch (st) {
|
| 318 | 317 |
case POST_HEAP: |
| 319 | 318 |
case PRE_HEAP: |
| 320 | 319 |
if (state(i) == IN_HEAP) {
|
| 321 | 320 |
erase(i); |
| 322 | 321 |
} |
| 323 | 322 |
_iim[i] = st; |
| 324 | 323 |
break; |
| 325 | 324 |
case IN_HEAP: |
| 326 | 325 |
break; |
| 327 | 326 |
} |
| 328 | 327 |
} |
| 329 | 328 |
|
| 330 |
/// \brief |
|
| 329 |
/// \brief Replace an item in the heap. |
|
| 331 | 330 |
/// |
| 332 |
/// The \c i item is replaced with \c j item. The \c i item should |
|
| 333 |
/// be in the heap, while the \c j should be out of the heap. The |
|
| 334 |
/// \c i item will out of the heap and \c j will be in the heap |
|
| 335 |
/// with the same prioriority as prevoiusly the \c i item. |
|
| 331 |
/// This function replaces item \c i with item \c j. |
|
| 332 |
/// Item \c i must be in the heap, while \c j must be out of the heap. |
|
| 333 |
/// After calling this method, item \c i will be out of the |
|
| 334 |
/// heap and \c j will be in the heap with the same prioriority |
|
| 335 |
/// as item \c i had before. |
|
| 336 | 336 |
void replace(const Item& i, const Item& j) {
|
| 337 | 337 |
int idx = _iim[i]; |
| 338 | 338 |
_iim.set(i, _iim[j]); |
| 339 | 339 |
_iim.set(j, idx); |
| 340 | 340 |
_data[idx].first = j; |
| 341 | 341 |
} |
| 342 | 342 |
|
| 343 | 343 |
}; // class BinHeap |
| 344 | 344 |
|
| 345 | 345 |
} // namespace lemon |
| 346 | 346 |
|
| 347 | 347 |
#endif // LEMON_BIN_HEAP_H |
| ... | ... |
@@ -348,278 +348,278 @@ |
| 348 | 348 |
} |
| 349 | 349 |
|
| 350 | 350 |
|
| 351 | 351 |
class NodeIt : public Node {
|
| 352 | 352 |
const Graph* graph; |
| 353 | 353 |
public: |
| 354 | 354 |
|
| 355 | 355 |
NodeIt() {}
|
| 356 | 356 |
|
| 357 | 357 |
NodeIt(Invalid i) : Node(i) { }
|
| 358 | 358 |
|
| 359 | 359 |
explicit NodeIt(const Graph& _graph) : graph(&_graph) {
|
| 360 | 360 |
_graph.first(static_cast<Node&>(*this)); |
| 361 | 361 |
} |
| 362 | 362 |
|
| 363 | 363 |
NodeIt(const Graph& _graph, const Node& node) |
| 364 | 364 |
: Node(node), graph(&_graph) {}
|
| 365 | 365 |
|
| 366 | 366 |
NodeIt& operator++() {
|
| 367 | 367 |
graph->next(*this); |
| 368 | 368 |
return *this; |
| 369 | 369 |
} |
| 370 | 370 |
|
| 371 | 371 |
}; |
| 372 | 372 |
|
| 373 | 373 |
|
| 374 | 374 |
class ArcIt : public Arc {
|
| 375 | 375 |
const Graph* graph; |
| 376 | 376 |
public: |
| 377 | 377 |
|
| 378 | 378 |
ArcIt() { }
|
| 379 | 379 |
|
| 380 | 380 |
ArcIt(Invalid i) : Arc(i) { }
|
| 381 | 381 |
|
| 382 | 382 |
explicit ArcIt(const Graph& _graph) : graph(&_graph) {
|
| 383 | 383 |
_graph.first(static_cast<Arc&>(*this)); |
| 384 | 384 |
} |
| 385 | 385 |
|
| 386 | 386 |
ArcIt(const Graph& _graph, const Arc& e) : |
| 387 | 387 |
Arc(e), graph(&_graph) { }
|
| 388 | 388 |
|
| 389 | 389 |
ArcIt& operator++() {
|
| 390 | 390 |
graph->next(*this); |
| 391 | 391 |
return *this; |
| 392 | 392 |
} |
| 393 | 393 |
|
| 394 | 394 |
}; |
| 395 | 395 |
|
| 396 | 396 |
|
| 397 | 397 |
class OutArcIt : public Arc {
|
| 398 | 398 |
const Graph* graph; |
| 399 | 399 |
public: |
| 400 | 400 |
|
| 401 | 401 |
OutArcIt() { }
|
| 402 | 402 |
|
| 403 | 403 |
OutArcIt(Invalid i) : Arc(i) { }
|
| 404 | 404 |
|
| 405 | 405 |
OutArcIt(const Graph& _graph, const Node& node) |
| 406 | 406 |
: graph(&_graph) {
|
| 407 | 407 |
_graph.firstOut(*this, node); |
| 408 | 408 |
} |
| 409 | 409 |
|
| 410 | 410 |
OutArcIt(const Graph& _graph, const Arc& arc) |
| 411 | 411 |
: Arc(arc), graph(&_graph) {}
|
| 412 | 412 |
|
| 413 | 413 |
OutArcIt& operator++() {
|
| 414 | 414 |
graph->nextOut(*this); |
| 415 | 415 |
return *this; |
| 416 | 416 |
} |
| 417 | 417 |
|
| 418 | 418 |
}; |
| 419 | 419 |
|
| 420 | 420 |
|
| 421 | 421 |
class InArcIt : public Arc {
|
| 422 | 422 |
const Graph* graph; |
| 423 | 423 |
public: |
| 424 | 424 |
|
| 425 | 425 |
InArcIt() { }
|
| 426 | 426 |
|
| 427 | 427 |
InArcIt(Invalid i) : Arc(i) { }
|
| 428 | 428 |
|
| 429 | 429 |
InArcIt(const Graph& _graph, const Node& node) |
| 430 | 430 |
: graph(&_graph) {
|
| 431 | 431 |
_graph.firstIn(*this, node); |
| 432 | 432 |
} |
| 433 | 433 |
|
| 434 | 434 |
InArcIt(const Graph& _graph, const Arc& arc) : |
| 435 | 435 |
Arc(arc), graph(&_graph) {}
|
| 436 | 436 |
|
| 437 | 437 |
InArcIt& operator++() {
|
| 438 | 438 |
graph->nextIn(*this); |
| 439 | 439 |
return *this; |
| 440 | 440 |
} |
| 441 | 441 |
|
| 442 | 442 |
}; |
| 443 | 443 |
|
| 444 | 444 |
|
| 445 | 445 |
class EdgeIt : public Parent::Edge {
|
| 446 | 446 |
const Graph* graph; |
| 447 | 447 |
public: |
| 448 | 448 |
|
| 449 | 449 |
EdgeIt() { }
|
| 450 | 450 |
|
| 451 | 451 |
EdgeIt(Invalid i) : Edge(i) { }
|
| 452 | 452 |
|
| 453 | 453 |
explicit EdgeIt(const Graph& _graph) : graph(&_graph) {
|
| 454 | 454 |
_graph.first(static_cast<Edge&>(*this)); |
| 455 | 455 |
} |
| 456 | 456 |
|
| 457 | 457 |
EdgeIt(const Graph& _graph, const Edge& e) : |
| 458 | 458 |
Edge(e), graph(&_graph) { }
|
| 459 | 459 |
|
| 460 | 460 |
EdgeIt& operator++() {
|
| 461 | 461 |
graph->next(*this); |
| 462 | 462 |
return *this; |
| 463 | 463 |
} |
| 464 | 464 |
|
| 465 | 465 |
}; |
| 466 | 466 |
|
| 467 | 467 |
class IncEdgeIt : public Parent::Edge {
|
| 468 | 468 |
friend class EdgeSetExtender; |
| 469 | 469 |
const Graph* graph; |
| 470 | 470 |
bool direction; |
| 471 | 471 |
public: |
| 472 | 472 |
|
| 473 | 473 |
IncEdgeIt() { }
|
| 474 | 474 |
|
| 475 | 475 |
IncEdgeIt(Invalid i) : Edge(i), direction(false) { }
|
| 476 | 476 |
|
| 477 | 477 |
IncEdgeIt(const Graph& _graph, const Node &n) : graph(&_graph) {
|
| 478 | 478 |
_graph.firstInc(*this, direction, n); |
| 479 | 479 |
} |
| 480 | 480 |
|
| 481 | 481 |
IncEdgeIt(const Graph& _graph, const Edge &ue, const Node &n) |
| 482 | 482 |
: graph(&_graph), Edge(ue) {
|
| 483 | 483 |
direction = (_graph.source(ue) == n); |
| 484 | 484 |
} |
| 485 | 485 |
|
| 486 | 486 |
IncEdgeIt& operator++() {
|
| 487 | 487 |
graph->nextInc(*this, direction); |
| 488 | 488 |
return *this; |
| 489 | 489 |
} |
| 490 | 490 |
}; |
| 491 | 491 |
|
| 492 | 492 |
// \brief Base node of the iterator |
| 493 | 493 |
// |
| 494 | 494 |
// Returns the base node (ie. the source in this case) of the iterator |
| 495 | 495 |
Node baseNode(const OutArcIt &e) const {
|
| 496 | 496 |
return Parent::source(static_cast<const Arc&>(e)); |
| 497 | 497 |
} |
| 498 | 498 |
// \brief Running node of the iterator |
| 499 | 499 |
// |
| 500 | 500 |
// Returns the running node (ie. the target in this case) of the |
| 501 | 501 |
// iterator |
| 502 | 502 |
Node runningNode(const OutArcIt &e) const {
|
| 503 | 503 |
return Parent::target(static_cast<const Arc&>(e)); |
| 504 | 504 |
} |
| 505 | 505 |
|
| 506 | 506 |
// \brief Base node of the iterator |
| 507 | 507 |
// |
| 508 | 508 |
// Returns the base node (ie. the target in this case) of the iterator |
| 509 | 509 |
Node baseNode(const InArcIt &e) const {
|
| 510 | 510 |
return Parent::target(static_cast<const Arc&>(e)); |
| 511 | 511 |
} |
| 512 | 512 |
// \brief Running node of the iterator |
| 513 | 513 |
// |
| 514 | 514 |
// Returns the running node (ie. the source in this case) of the |
| 515 | 515 |
// iterator |
| 516 | 516 |
Node runningNode(const InArcIt &e) const {
|
| 517 | 517 |
return Parent::source(static_cast<const Arc&>(e)); |
| 518 | 518 |
} |
| 519 | 519 |
|
| 520 | 520 |
// Base node of the iterator |
| 521 | 521 |
// |
| 522 | 522 |
// Returns the base node of the iterator |
| 523 | 523 |
Node baseNode(const IncEdgeIt &e) const {
|
| 524 | 524 |
return e.direction ? u(e) : v(e); |
| 525 | 525 |
} |
| 526 | 526 |
// Running node of the iterator |
| 527 | 527 |
// |
| 528 | 528 |
// Returns the running node of the iterator |
| 529 | 529 |
Node runningNode(const IncEdgeIt &e) const {
|
| 530 | 530 |
return e.direction ? v(e) : u(e); |
| 531 | 531 |
} |
| 532 | 532 |
|
| 533 | 533 |
|
| 534 | 534 |
template <typename _Value> |
| 535 | 535 |
class ArcMap |
| 536 | 536 |
: public MapExtender<DefaultMap<Graph, Arc, _Value> > {
|
| 537 | 537 |
typedef MapExtender<DefaultMap<Graph, Arc, _Value> > Parent; |
| 538 | 538 |
|
| 539 | 539 |
public: |
| 540 |
ArcMap(const Graph& _g) |
|
| 540 |
explicit ArcMap(const Graph& _g) |
|
| 541 | 541 |
: Parent(_g) {}
|
| 542 | 542 |
ArcMap(const Graph& _g, const _Value& _v) |
| 543 | 543 |
: Parent(_g, _v) {}
|
| 544 | 544 |
|
| 545 | 545 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 546 | 546 |
return operator=<ArcMap>(cmap); |
| 547 | 547 |
} |
| 548 | 548 |
|
| 549 | 549 |
template <typename CMap> |
| 550 | 550 |
ArcMap& operator=(const CMap& cmap) {
|
| 551 | 551 |
Parent::operator=(cmap); |
| 552 | 552 |
return *this; |
| 553 | 553 |
} |
| 554 | 554 |
|
| 555 | 555 |
}; |
| 556 | 556 |
|
| 557 | 557 |
|
| 558 | 558 |
template <typename _Value> |
| 559 | 559 |
class EdgeMap |
| 560 | 560 |
: public MapExtender<DefaultMap<Graph, Edge, _Value> > {
|
| 561 | 561 |
typedef MapExtender<DefaultMap<Graph, Edge, _Value> > Parent; |
| 562 | 562 |
|
| 563 | 563 |
public: |
| 564 |
EdgeMap(const Graph& _g) |
|
| 564 |
explicit EdgeMap(const Graph& _g) |
|
| 565 | 565 |
: Parent(_g) {}
|
| 566 | 566 |
|
| 567 | 567 |
EdgeMap(const Graph& _g, const _Value& _v) |
| 568 | 568 |
: Parent(_g, _v) {}
|
| 569 | 569 |
|
| 570 | 570 |
EdgeMap& operator=(const EdgeMap& cmap) {
|
| 571 | 571 |
return operator=<EdgeMap>(cmap); |
| 572 | 572 |
} |
| 573 | 573 |
|
| 574 | 574 |
template <typename CMap> |
| 575 | 575 |
EdgeMap& operator=(const CMap& cmap) {
|
| 576 | 576 |
Parent::operator=(cmap); |
| 577 | 577 |
return *this; |
| 578 | 578 |
} |
| 579 | 579 |
|
| 580 | 580 |
}; |
| 581 | 581 |
|
| 582 | 582 |
|
| 583 | 583 |
// Alteration extension |
| 584 | 584 |
|
| 585 | 585 |
Edge addEdge(const Node& from, const Node& to) {
|
| 586 | 586 |
Edge edge = Parent::addEdge(from, to); |
| 587 | 587 |
notifier(Edge()).add(edge); |
| 588 | 588 |
std::vector<Arc> arcs; |
| 589 | 589 |
arcs.push_back(Parent::direct(edge, true)); |
| 590 | 590 |
arcs.push_back(Parent::direct(edge, false)); |
| 591 | 591 |
notifier(Arc()).add(arcs); |
| 592 | 592 |
return edge; |
| 593 | 593 |
} |
| 594 | 594 |
|
| 595 | 595 |
void clear() {
|
| 596 | 596 |
notifier(Arc()).clear(); |
| 597 | 597 |
notifier(Edge()).clear(); |
| 598 | 598 |
Parent::clear(); |
| 599 | 599 |
} |
| 600 | 600 |
|
| 601 | 601 |
void erase(const Edge& edge) {
|
| 602 | 602 |
std::vector<Arc> arcs; |
| 603 | 603 |
arcs.push_back(Parent::direct(edge, true)); |
| 604 | 604 |
arcs.push_back(Parent::direct(edge, false)); |
| 605 | 605 |
notifier(Arc()).erase(arcs); |
| 606 | 606 |
notifier(Edge()).erase(edge); |
| 607 | 607 |
Parent::erase(edge); |
| 608 | 608 |
} |
| 609 | 609 |
|
| 610 | 610 |
|
| 611 | 611 |
EdgeSetExtender() {
|
| 612 | 612 |
arc_notifier.setContainer(*this); |
| 613 | 613 |
edge_notifier.setContainer(*this); |
| 614 | 614 |
} |
| 615 | 615 |
|
| 616 | 616 |
~EdgeSetExtender() {
|
| 617 | 617 |
edge_notifier.clear(); |
| 618 | 618 |
arc_notifier.clear(); |
| 619 | 619 |
} |
| 620 | 620 |
|
| 621 | 621 |
}; |
| 622 | 622 |
|
| 623 | 623 |
} |
| 624 | 624 |
|
| 625 | 625 |
#endif |
| ... | ... |
@@ -415,337 +415,337 @@ |
| 415 | 415 |
|
| 416 | 416 |
|
| 417 | 417 |
class NodeIt : public Node {
|
| 418 | 418 |
const Graph* _graph; |
| 419 | 419 |
public: |
| 420 | 420 |
|
| 421 | 421 |
NodeIt() {}
|
| 422 | 422 |
|
| 423 | 423 |
NodeIt(Invalid i) : Node(i) { }
|
| 424 | 424 |
|
| 425 | 425 |
explicit NodeIt(const Graph& graph) : _graph(&graph) {
|
| 426 | 426 |
_graph->first(static_cast<Node&>(*this)); |
| 427 | 427 |
} |
| 428 | 428 |
|
| 429 | 429 |
NodeIt(const Graph& graph, const Node& node) |
| 430 | 430 |
: Node(node), _graph(&graph) {}
|
| 431 | 431 |
|
| 432 | 432 |
NodeIt& operator++() {
|
| 433 | 433 |
_graph->next(*this); |
| 434 | 434 |
return *this; |
| 435 | 435 |
} |
| 436 | 436 |
|
| 437 | 437 |
}; |
| 438 | 438 |
|
| 439 | 439 |
|
| 440 | 440 |
class ArcIt : public Arc {
|
| 441 | 441 |
const Graph* _graph; |
| 442 | 442 |
public: |
| 443 | 443 |
|
| 444 | 444 |
ArcIt() { }
|
| 445 | 445 |
|
| 446 | 446 |
ArcIt(Invalid i) : Arc(i) { }
|
| 447 | 447 |
|
| 448 | 448 |
explicit ArcIt(const Graph& graph) : _graph(&graph) {
|
| 449 | 449 |
_graph->first(static_cast<Arc&>(*this)); |
| 450 | 450 |
} |
| 451 | 451 |
|
| 452 | 452 |
ArcIt(const Graph& graph, const Arc& arc) : |
| 453 | 453 |
Arc(arc), _graph(&graph) { }
|
| 454 | 454 |
|
| 455 | 455 |
ArcIt& operator++() {
|
| 456 | 456 |
_graph->next(*this); |
| 457 | 457 |
return *this; |
| 458 | 458 |
} |
| 459 | 459 |
|
| 460 | 460 |
}; |
| 461 | 461 |
|
| 462 | 462 |
|
| 463 | 463 |
class OutArcIt : public Arc {
|
| 464 | 464 |
const Graph* _graph; |
| 465 | 465 |
public: |
| 466 | 466 |
|
| 467 | 467 |
OutArcIt() { }
|
| 468 | 468 |
|
| 469 | 469 |
OutArcIt(Invalid i) : Arc(i) { }
|
| 470 | 470 |
|
| 471 | 471 |
OutArcIt(const Graph& graph, const Node& node) |
| 472 | 472 |
: _graph(&graph) {
|
| 473 | 473 |
_graph->firstOut(*this, node); |
| 474 | 474 |
} |
| 475 | 475 |
|
| 476 | 476 |
OutArcIt(const Graph& graph, const Arc& arc) |
| 477 | 477 |
: Arc(arc), _graph(&graph) {}
|
| 478 | 478 |
|
| 479 | 479 |
OutArcIt& operator++() {
|
| 480 | 480 |
_graph->nextOut(*this); |
| 481 | 481 |
return *this; |
| 482 | 482 |
} |
| 483 | 483 |
|
| 484 | 484 |
}; |
| 485 | 485 |
|
| 486 | 486 |
|
| 487 | 487 |
class InArcIt : public Arc {
|
| 488 | 488 |
const Graph* _graph; |
| 489 | 489 |
public: |
| 490 | 490 |
|
| 491 | 491 |
InArcIt() { }
|
| 492 | 492 |
|
| 493 | 493 |
InArcIt(Invalid i) : Arc(i) { }
|
| 494 | 494 |
|
| 495 | 495 |
InArcIt(const Graph& graph, const Node& node) |
| 496 | 496 |
: _graph(&graph) {
|
| 497 | 497 |
_graph->firstIn(*this, node); |
| 498 | 498 |
} |
| 499 | 499 |
|
| 500 | 500 |
InArcIt(const Graph& graph, const Arc& arc) : |
| 501 | 501 |
Arc(arc), _graph(&graph) {}
|
| 502 | 502 |
|
| 503 | 503 |
InArcIt& operator++() {
|
| 504 | 504 |
_graph->nextIn(*this); |
| 505 | 505 |
return *this; |
| 506 | 506 |
} |
| 507 | 507 |
|
| 508 | 508 |
}; |
| 509 | 509 |
|
| 510 | 510 |
|
| 511 | 511 |
class EdgeIt : public Parent::Edge {
|
| 512 | 512 |
const Graph* _graph; |
| 513 | 513 |
public: |
| 514 | 514 |
|
| 515 | 515 |
EdgeIt() { }
|
| 516 | 516 |
|
| 517 | 517 |
EdgeIt(Invalid i) : Edge(i) { }
|
| 518 | 518 |
|
| 519 | 519 |
explicit EdgeIt(const Graph& graph) : _graph(&graph) {
|
| 520 | 520 |
_graph->first(static_cast<Edge&>(*this)); |
| 521 | 521 |
} |
| 522 | 522 |
|
| 523 | 523 |
EdgeIt(const Graph& graph, const Edge& edge) : |
| 524 | 524 |
Edge(edge), _graph(&graph) { }
|
| 525 | 525 |
|
| 526 | 526 |
EdgeIt& operator++() {
|
| 527 | 527 |
_graph->next(*this); |
| 528 | 528 |
return *this; |
| 529 | 529 |
} |
| 530 | 530 |
|
| 531 | 531 |
}; |
| 532 | 532 |
|
| 533 | 533 |
class IncEdgeIt : public Parent::Edge {
|
| 534 | 534 |
friend class GraphExtender; |
| 535 | 535 |
const Graph* _graph; |
| 536 | 536 |
bool _direction; |
| 537 | 537 |
public: |
| 538 | 538 |
|
| 539 | 539 |
IncEdgeIt() { }
|
| 540 | 540 |
|
| 541 | 541 |
IncEdgeIt(Invalid i) : Edge(i), _direction(false) { }
|
| 542 | 542 |
|
| 543 | 543 |
IncEdgeIt(const Graph& graph, const Node &node) : _graph(&graph) {
|
| 544 | 544 |
_graph->firstInc(*this, _direction, node); |
| 545 | 545 |
} |
| 546 | 546 |
|
| 547 | 547 |
IncEdgeIt(const Graph& graph, const Edge &edge, const Node &node) |
| 548 | 548 |
: _graph(&graph), Edge(edge) {
|
| 549 | 549 |
_direction = (_graph->source(edge) == node); |
| 550 | 550 |
} |
| 551 | 551 |
|
| 552 | 552 |
IncEdgeIt& operator++() {
|
| 553 | 553 |
_graph->nextInc(*this, _direction); |
| 554 | 554 |
return *this; |
| 555 | 555 |
} |
| 556 | 556 |
}; |
| 557 | 557 |
|
| 558 | 558 |
// \brief Base node of the iterator |
| 559 | 559 |
// |
| 560 | 560 |
// Returns the base node (ie. the source in this case) of the iterator |
| 561 | 561 |
Node baseNode(const OutArcIt &arc) const {
|
| 562 | 562 |
return Parent::source(static_cast<const Arc&>(arc)); |
| 563 | 563 |
} |
| 564 | 564 |
// \brief Running node of the iterator |
| 565 | 565 |
// |
| 566 | 566 |
// Returns the running node (ie. the target in this case) of the |
| 567 | 567 |
// iterator |
| 568 | 568 |
Node runningNode(const OutArcIt &arc) const {
|
| 569 | 569 |
return Parent::target(static_cast<const Arc&>(arc)); |
| 570 | 570 |
} |
| 571 | 571 |
|
| 572 | 572 |
// \brief Base node of the iterator |
| 573 | 573 |
// |
| 574 | 574 |
// Returns the base node (ie. the target in this case) of the iterator |
| 575 | 575 |
Node baseNode(const InArcIt &arc) const {
|
| 576 | 576 |
return Parent::target(static_cast<const Arc&>(arc)); |
| 577 | 577 |
} |
| 578 | 578 |
// \brief Running node of the iterator |
| 579 | 579 |
// |
| 580 | 580 |
// Returns the running node (ie. the source in this case) of the |
| 581 | 581 |
// iterator |
| 582 | 582 |
Node runningNode(const InArcIt &arc) const {
|
| 583 | 583 |
return Parent::source(static_cast<const Arc&>(arc)); |
| 584 | 584 |
} |
| 585 | 585 |
|
| 586 | 586 |
// Base node of the iterator |
| 587 | 587 |
// |
| 588 | 588 |
// Returns the base node of the iterator |
| 589 | 589 |
Node baseNode(const IncEdgeIt &edge) const {
|
| 590 | 590 |
return edge._direction ? u(edge) : v(edge); |
| 591 | 591 |
} |
| 592 | 592 |
// Running node of the iterator |
| 593 | 593 |
// |
| 594 | 594 |
// Returns the running node of the iterator |
| 595 | 595 |
Node runningNode(const IncEdgeIt &edge) const {
|
| 596 | 596 |
return edge._direction ? v(edge) : u(edge); |
| 597 | 597 |
} |
| 598 | 598 |
|
| 599 | 599 |
// Mappable extension |
| 600 | 600 |
|
| 601 | 601 |
template <typename _Value> |
| 602 | 602 |
class NodeMap |
| 603 | 603 |
: public MapExtender<DefaultMap<Graph, Node, _Value> > {
|
| 604 | 604 |
typedef MapExtender<DefaultMap<Graph, Node, _Value> > Parent; |
| 605 | 605 |
|
| 606 | 606 |
public: |
| 607 |
NodeMap(const Graph& graph) |
|
| 607 |
explicit NodeMap(const Graph& graph) |
|
| 608 | 608 |
: Parent(graph) {}
|
| 609 | 609 |
NodeMap(const Graph& graph, const _Value& value) |
| 610 | 610 |
: Parent(graph, value) {}
|
| 611 | 611 |
|
| 612 | 612 |
private: |
| 613 | 613 |
NodeMap& operator=(const NodeMap& cmap) {
|
| 614 | 614 |
return operator=<NodeMap>(cmap); |
| 615 | 615 |
} |
| 616 | 616 |
|
| 617 | 617 |
template <typename CMap> |
| 618 | 618 |
NodeMap& operator=(const CMap& cmap) {
|
| 619 | 619 |
Parent::operator=(cmap); |
| 620 | 620 |
return *this; |
| 621 | 621 |
} |
| 622 | 622 |
|
| 623 | 623 |
}; |
| 624 | 624 |
|
| 625 | 625 |
template <typename _Value> |
| 626 | 626 |
class ArcMap |
| 627 | 627 |
: public MapExtender<DefaultMap<Graph, Arc, _Value> > {
|
| 628 | 628 |
typedef MapExtender<DefaultMap<Graph, Arc, _Value> > Parent; |
| 629 | 629 |
|
| 630 | 630 |
public: |
| 631 |
ArcMap(const Graph& graph) |
|
| 631 |
explicit ArcMap(const Graph& graph) |
|
| 632 | 632 |
: Parent(graph) {}
|
| 633 | 633 |
ArcMap(const Graph& graph, const _Value& value) |
| 634 | 634 |
: Parent(graph, value) {}
|
| 635 | 635 |
|
| 636 | 636 |
private: |
| 637 | 637 |
ArcMap& operator=(const ArcMap& cmap) {
|
| 638 | 638 |
return operator=<ArcMap>(cmap); |
| 639 | 639 |
} |
| 640 | 640 |
|
| 641 | 641 |
template <typename CMap> |
| 642 | 642 |
ArcMap& operator=(const CMap& cmap) {
|
| 643 | 643 |
Parent::operator=(cmap); |
| 644 | 644 |
return *this; |
| 645 | 645 |
} |
| 646 | 646 |
}; |
| 647 | 647 |
|
| 648 | 648 |
|
| 649 | 649 |
template <typename _Value> |
| 650 | 650 |
class EdgeMap |
| 651 | 651 |
: public MapExtender<DefaultMap<Graph, Edge, _Value> > {
|
| 652 | 652 |
typedef MapExtender<DefaultMap<Graph, Edge, _Value> > Parent; |
| 653 | 653 |
|
| 654 | 654 |
public: |
| 655 |
EdgeMap(const Graph& graph) |
|
| 655 |
explicit EdgeMap(const Graph& graph) |
|
| 656 | 656 |
: Parent(graph) {}
|
| 657 | 657 |
|
| 658 | 658 |
EdgeMap(const Graph& graph, const _Value& value) |
| 659 | 659 |
: Parent(graph, value) {}
|
| 660 | 660 |
|
| 661 | 661 |
private: |
| 662 | 662 |
EdgeMap& operator=(const EdgeMap& cmap) {
|
| 663 | 663 |
return operator=<EdgeMap>(cmap); |
| 664 | 664 |
} |
| 665 | 665 |
|
| 666 | 666 |
template <typename CMap> |
| 667 | 667 |
EdgeMap& operator=(const CMap& cmap) {
|
| 668 | 668 |
Parent::operator=(cmap); |
| 669 | 669 |
return *this; |
| 670 | 670 |
} |
| 671 | 671 |
|
| 672 | 672 |
}; |
| 673 | 673 |
|
| 674 | 674 |
// Alteration extension |
| 675 | 675 |
|
| 676 | 676 |
Node addNode() {
|
| 677 | 677 |
Node node = Parent::addNode(); |
| 678 | 678 |
notifier(Node()).add(node); |
| 679 | 679 |
return node; |
| 680 | 680 |
} |
| 681 | 681 |
|
| 682 | 682 |
Edge addEdge(const Node& from, const Node& to) {
|
| 683 | 683 |
Edge edge = Parent::addEdge(from, to); |
| 684 | 684 |
notifier(Edge()).add(edge); |
| 685 | 685 |
std::vector<Arc> ev; |
| 686 | 686 |
ev.push_back(Parent::direct(edge, true)); |
| 687 | 687 |
ev.push_back(Parent::direct(edge, false)); |
| 688 | 688 |
notifier(Arc()).add(ev); |
| 689 | 689 |
return edge; |
| 690 | 690 |
} |
| 691 | 691 |
|
| 692 | 692 |
void clear() {
|
| 693 | 693 |
notifier(Arc()).clear(); |
| 694 | 694 |
notifier(Edge()).clear(); |
| 695 | 695 |
notifier(Node()).clear(); |
| 696 | 696 |
Parent::clear(); |
| 697 | 697 |
} |
| 698 | 698 |
|
| 699 | 699 |
template <typename Graph, typename NodeRefMap, typename EdgeRefMap> |
| 700 | 700 |
void build(const Graph& graph, NodeRefMap& nodeRef, |
| 701 | 701 |
EdgeRefMap& edgeRef) {
|
| 702 | 702 |
Parent::build(graph, nodeRef, edgeRef); |
| 703 | 703 |
notifier(Node()).build(); |
| 704 | 704 |
notifier(Edge()).build(); |
| 705 | 705 |
notifier(Arc()).build(); |
| 706 | 706 |
} |
| 707 | 707 |
|
| 708 | 708 |
void erase(const Node& node) {
|
| 709 | 709 |
Arc arc; |
| 710 | 710 |
Parent::firstOut(arc, node); |
| 711 | 711 |
while (arc != INVALID ) {
|
| 712 | 712 |
erase(arc); |
| 713 | 713 |
Parent::firstOut(arc, node); |
| 714 | 714 |
} |
| 715 | 715 |
|
| 716 | 716 |
Parent::firstIn(arc, node); |
| 717 | 717 |
while (arc != INVALID ) {
|
| 718 | 718 |
erase(arc); |
| 719 | 719 |
Parent::firstIn(arc, node); |
| 720 | 720 |
} |
| 721 | 721 |
|
| 722 | 722 |
notifier(Node()).erase(node); |
| 723 | 723 |
Parent::erase(node); |
| 724 | 724 |
} |
| 725 | 725 |
|
| 726 | 726 |
void erase(const Edge& edge) {
|
| 727 | 727 |
std::vector<Arc> av; |
| 728 | 728 |
av.push_back(Parent::direct(edge, true)); |
| 729 | 729 |
av.push_back(Parent::direct(edge, false)); |
| 730 | 730 |
notifier(Arc()).erase(av); |
| 731 | 731 |
notifier(Edge()).erase(edge); |
| 732 | 732 |
Parent::erase(edge); |
| 733 | 733 |
} |
| 734 | 734 |
|
| 735 | 735 |
GraphExtender() {
|
| 736 | 736 |
node_notifier.setContainer(*this); |
| 737 | 737 |
arc_notifier.setContainer(*this); |
| 738 | 738 |
edge_notifier.setContainer(*this); |
| 739 | 739 |
} |
| 740 | 740 |
|
| 741 | 741 |
~GraphExtender() {
|
| 742 | 742 |
edge_notifier.clear(); |
| 743 | 743 |
arc_notifier.clear(); |
| 744 | 744 |
node_notifier.clear(); |
| 745 | 745 |
} |
| 746 | 746 |
|
| 747 | 747 |
}; |
| 748 | 748 |
|
| 749 | 749 |
} |
| 750 | 750 |
|
| 751 | 751 |
#endif |
| 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 | 19 |
#ifndef LEMON_BUCKET_HEAP_H |
| 20 | 20 |
#define LEMON_BUCKET_HEAP_H |
| 21 | 21 |
|
| 22 |
///\ingroup |
|
| 22 |
///\ingroup heaps |
|
| 23 | 23 |
///\file |
| 24 |
///\brief Bucket |
|
| 24 |
///\brief Bucket 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 |
namespace _bucket_heap_bits {
|
| 33 | 33 |
|
| 34 | 34 |
template <bool MIN> |
| 35 | 35 |
struct DirectionTraits {
|
| 36 | 36 |
static bool less(int left, int right) {
|
| 37 | 37 |
return left < right; |
| 38 | 38 |
} |
| 39 | 39 |
static void increase(int& value) {
|
| 40 | 40 |
++value; |
| 41 | 41 |
} |
| 42 | 42 |
}; |
| 43 | 43 |
|
| 44 | 44 |
template <> |
| 45 | 45 |
struct DirectionTraits<false> {
|
| 46 | 46 |
static bool less(int left, int right) {
|
| 47 | 47 |
return left > right; |
| 48 | 48 |
} |
| 49 | 49 |
static void increase(int& value) {
|
| 50 | 50 |
--value; |
| 51 | 51 |
} |
| 52 | 52 |
}; |
| 53 | 53 |
|
| 54 | 54 |
} |
| 55 | 55 |
|
| 56 |
/// \ingroup |
|
| 56 |
/// \ingroup heaps |
|
| 57 | 57 |
/// |
| 58 |
/// \brief |
|
| 58 |
/// \brief Bucket heap data structure. |
|
| 59 | 59 |
/// |
| 60 |
/// This class implements the \e bucket \e heap data structure. A \e heap |
|
| 61 |
/// is a data structure for storing items with specified values called \e |
|
| 62 |
/// priorities in such a way that finding the item with minimum priority is |
|
| 63 |
/// efficient. The bucket heap is very simple implementation, it can store |
|
| 64 |
/// only integer priorities and it stores for each priority in the |
|
| 65 |
/// \f$ [0..C) \f$ range a list of items. So it should be used only when |
|
| 66 |
/// the |
|
| 60 |
/// This class implements the \e bucket \e heap data structure. |
|
| 61 |
/// It practically conforms to the \ref concepts::Heap "heap concept", |
|
| 62 |
/// but it has some limitations. |
|
| 67 | 63 |
/// |
| 68 |
/// \param IM A read and write Item int map, used internally |
|
| 69 |
/// to handle the cross references. |
|
| 70 |
/// \param MIN If the given parameter is false then instead of the |
|
| 71 |
/// minimum value the maximum can be retrivied with the top() and |
|
| 72 |
/// |
|
| 64 |
/// The bucket heap is a very simple structure. It can store only |
|
| 65 |
/// \c int priorities and it maintains a list of items for each priority |
|
| 66 |
/// in the range <tt>[0..C)</tt>. So it should only be used when the |
|
| 67 |
/// priorities are small. It is not intended to use as a Dijkstra heap. |
|
| 68 |
/// |
|
| 69 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 70 |
/// internally to handle the cross references. |
|
| 71 |
/// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap. |
|
| 72 |
/// The default is \e min-heap. If this parameter is set to \c false, |
|
| 73 |
/// then the comparison is reversed, so the top(), prio() and pop() |
|
| 74 |
/// functions deal with the item having maximum priority instead of the |
|
| 75 |
/// minimum. |
|
| 76 |
/// |
|
| 77 |
/// \sa SimpleBucketHeap |
|
| 73 | 78 |
template <typename IM, bool MIN = true> |
| 74 | 79 |
class BucketHeap {
|
| 75 | 80 |
|
| 76 | 81 |
public: |
| 77 |
/// \e |
|
| 78 |
typedef typename IM::Key Item; |
|
| 79 |
|
|
| 82 |
|
|
| 83 |
/// Type of the item-int map. |
|
| 84 |
typedef IM ItemIntMap; |
|
| 85 |
/// Type of the priorities. |
|
| 80 | 86 |
typedef int Prio; |
| 81 |
/// \e |
|
| 82 |
typedef std::pair<Item, Prio> Pair; |
|
| 83 |
/// \e |
|
| 84 |
typedef IM ItemIntMap; |
|
| 87 |
/// Type of the items stored in the heap. |
|
| 88 |
typedef typename ItemIntMap::Key Item; |
|
| 89 |
/// Type of the item-priority pairs. |
|
| 90 |
typedef std::pair<Item,Prio> Pair; |
|
| 85 | 91 |
|
| 86 | 92 |
private: |
| 87 | 93 |
|
| 88 | 94 |
typedef _bucket_heap_bits::DirectionTraits<MIN> Direction; |
| 89 | 95 |
|
| 90 | 96 |
public: |
| 91 | 97 |
|
| 92 |
/// \brief Type to represent the |
|
| 98 |
/// \brief Type to represent the states of the items. |
|
| 93 | 99 |
/// |
| 94 |
/// Each Item element have a state associated to it. It may be "in heap", |
|
| 95 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
|
| 100 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 101 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 96 | 102 |
/// heap's point of view, but may be useful to the user. |
| 97 | 103 |
/// |
| 98 | 104 |
/// The item-int map must be initialized in such way that it assigns |
| 99 | 105 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 100 | 106 |
enum State {
|
| 101 | 107 |
IN_HEAP = 0, ///< = 0. |
| 102 | 108 |
PRE_HEAP = -1, ///< = -1. |
| 103 | 109 |
POST_HEAP = -2 ///< = -2. |
| 104 | 110 |
}; |
| 105 | 111 |
|
| 106 | 112 |
public: |
| 107 |
|
|
| 113 |
|
|
| 114 |
/// \brief Constructor. |
|
| 108 | 115 |
/// |
| 109 |
/// The constructor. |
|
| 110 |
/// \param map should be given to the constructor, since it is used |
|
| 111 |
/// internally to handle the cross references. The value of the map |
|
| 112 |
/// should be PRE_HEAP (-1) for each element. |
|
| 116 |
/// Constructor. |
|
| 117 |
/// \param map A map that assigns \c int values to the items. |
|
| 118 |
/// It is used internally to handle the cross references. |
|
| 119 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 113 | 120 |
explicit BucketHeap(ItemIntMap &map) : _iim(map), _minimum(0) {}
|
| 114 | 121 |
|
| 115 |
/// The number of items stored in the heap. |
|
| 122 |
/// \brief The number of items stored in the heap. |
|
| 116 | 123 |
/// |
| 117 |
/// |
|
| 124 |
/// This function returns the number of items stored in the heap. |
|
| 118 | 125 |
int size() const { return _data.size(); }
|
| 119 | 126 |
|
| 120 |
/// \brief |
|
| 127 |
/// \brief Check if the heap is empty. |
|
| 121 | 128 |
/// |
| 122 |
/// |
|
| 129 |
/// This function returns \c true if the heap is empty. |
|
| 123 | 130 |
bool empty() const { return _data.empty(); }
|
| 124 | 131 |
|
| 125 |
/// \brief Make |
|
| 132 |
/// \brief Make the heap empty. |
|
| 126 | 133 |
/// |
| 127 |
/// Make empty this heap. It does not change the cross reference |
|
| 128 |
/// map. If you want to reuse a heap what is not surely empty you |
|
| 129 |
/// should first clear the heap and after that you should set the |
|
| 130 |
/// cross reference map for each item to \c PRE_HEAP. |
|
| 134 |
/// This functon makes the heap empty. |
|
| 135 |
/// It does not change the cross reference map. If you want to reuse |
|
| 136 |
/// a heap that is not surely empty, you should first clear it and |
|
| 137 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 138 |
/// for each item. |
|
| 131 | 139 |
void clear() {
|
| 132 | 140 |
_data.clear(); _first.clear(); _minimum = 0; |
| 133 | 141 |
} |
| 134 | 142 |
|
| 135 | 143 |
private: |
| 136 | 144 |
|
| 137 |
void |
|
| 145 |
void relocateLast(int idx) {
|
|
| 138 | 146 |
if (idx + 1 < int(_data.size())) {
|
| 139 | 147 |
_data[idx] = _data.back(); |
| 140 | 148 |
if (_data[idx].prev != -1) {
|
| 141 | 149 |
_data[_data[idx].prev].next = idx; |
| 142 | 150 |
} else {
|
| 143 | 151 |
_first[_data[idx].value] = idx; |
| 144 | 152 |
} |
| 145 | 153 |
if (_data[idx].next != -1) {
|
| 146 | 154 |
_data[_data[idx].next].prev = idx; |
| 147 | 155 |
} |
| 148 | 156 |
_iim[_data[idx].item] = idx; |
| 149 | 157 |
} |
| 150 | 158 |
_data.pop_back(); |
| 151 | 159 |
} |
| 152 | 160 |
|
| 153 | 161 |
void unlace(int idx) {
|
| 154 | 162 |
if (_data[idx].prev != -1) {
|
| 155 | 163 |
_data[_data[idx].prev].next = _data[idx].next; |
| 156 | 164 |
} else {
|
| 157 | 165 |
_first[_data[idx].value] = _data[idx].next; |
| 158 | 166 |
} |
| 159 | 167 |
if (_data[idx].next != -1) {
|
| 160 | 168 |
_data[_data[idx].next].prev = _data[idx].prev; |
| 161 | 169 |
} |
| 162 | 170 |
} |
| 163 | 171 |
|
| 164 | 172 |
void lace(int idx) {
|
| 165 | 173 |
if (int(_first.size()) <= _data[idx].value) {
|
| 166 | 174 |
_first.resize(_data[idx].value + 1, -1); |
| 167 | 175 |
} |
| 168 | 176 |
_data[idx].next = _first[_data[idx].value]; |
| 169 | 177 |
if (_data[idx].next != -1) {
|
| 170 | 178 |
_data[_data[idx].next].prev = idx; |
| 171 | 179 |
} |
| 172 | 180 |
_first[_data[idx].value] = idx; |
| 173 | 181 |
_data[idx].prev = -1; |
| 174 | 182 |
} |
| 175 | 183 |
|
| 176 | 184 |
public: |
| 185 |
|
|
| 177 | 186 |
/// \brief Insert a pair of item and priority into the heap. |
| 178 | 187 |
/// |
| 179 |
/// |
|
| 188 |
/// This function inserts \c p.first to the heap with priority |
|
| 189 |
/// \c p.second. |
|
| 180 | 190 |
/// \param p The pair to insert. |
| 191 |
/// \pre \c p.first must not be stored in the heap. |
|
| 181 | 192 |
void push(const Pair& p) {
|
| 182 | 193 |
push(p.first, p.second); |
| 183 | 194 |
} |
| 184 | 195 |
|
| 185 | 196 |
/// \brief Insert an item into the heap with the given priority. |
| 186 | 197 |
/// |
| 187 |
/// |
|
| 198 |
/// This function inserts the given item into the heap with the |
|
| 199 |
/// given priority. |
|
| 188 | 200 |
/// \param i The item to insert. |
| 189 | 201 |
/// \param p The priority of the item. |
| 202 |
/// \pre \e i must not be stored in the heap. |
|
| 190 | 203 |
void push(const Item &i, const Prio &p) {
|
| 191 | 204 |
int idx = _data.size(); |
| 192 | 205 |
_iim[i] = idx; |
| 193 | 206 |
_data.push_back(BucketItem(i, p)); |
| 194 | 207 |
lace(idx); |
| 195 | 208 |
if (Direction::less(p, _minimum)) {
|
| 196 | 209 |
_minimum = p; |
| 197 | 210 |
} |
| 198 | 211 |
} |
| 199 | 212 |
|
| 200 |
/// \brief |
|
| 213 |
/// \brief Return the item having minimum priority. |
|
| 201 | 214 |
/// |
| 202 |
/// This method returns the item with minimum priority. |
|
| 203 |
/// \pre The heap must be nonempty. |
|
| 215 |
/// This function returns the item having minimum priority. |
|
| 216 |
/// \pre The heap must be non-empty. |
|
| 204 | 217 |
Item top() const {
|
| 205 | 218 |
while (_first[_minimum] == -1) {
|
| 206 | 219 |
Direction::increase(_minimum); |
| 207 | 220 |
} |
| 208 | 221 |
return _data[_first[_minimum]].item; |
| 209 | 222 |
} |
| 210 | 223 |
|
| 211 |
/// \brief |
|
| 224 |
/// \brief The minimum priority. |
|
| 212 | 225 |
/// |
| 213 |
/// It returns the minimum priority. |
|
| 214 |
/// \pre The heap must be nonempty. |
|
| 226 |
/// This function returns the minimum priority. |
|
| 227 |
/// \pre The heap must be non-empty. |
|
| 215 | 228 |
Prio prio() const {
|
| 216 | 229 |
while (_first[_minimum] == -1) {
|
| 217 | 230 |
Direction::increase(_minimum); |
| 218 | 231 |
} |
| 219 | 232 |
return _minimum; |
| 220 | 233 |
} |
| 221 | 234 |
|
| 222 |
/// \brief |
|
| 235 |
/// \brief Remove the item having minimum priority. |
|
| 223 | 236 |
/// |
| 224 |
/// This |
|
| 237 |
/// This function removes the item having minimum priority. |
|
| 225 | 238 |
/// \pre The heap must be non-empty. |
| 226 | 239 |
void pop() {
|
| 227 | 240 |
while (_first[_minimum] == -1) {
|
| 228 | 241 |
Direction::increase(_minimum); |
| 229 | 242 |
} |
| 230 | 243 |
int idx = _first[_minimum]; |
| 231 | 244 |
_iim[_data[idx].item] = -2; |
| 232 | 245 |
unlace(idx); |
| 233 |
|
|
| 246 |
relocateLast(idx); |
|
| 234 | 247 |
} |
| 235 | 248 |
|
| 236 |
/// \brief |
|
| 249 |
/// \brief Remove the given item from the heap. |
|
| 237 | 250 |
/// |
| 238 |
/// This method deletes item \c i from the heap, if \c i was |
|
| 239 |
/// already stored in the heap. |
|
| 240 |
/// |
|
| 251 |
/// This function removes the given item from the heap if it is |
|
| 252 |
/// already stored. |
|
| 253 |
/// \param i The item to delete. |
|
| 254 |
/// \pre \e i must be in the heap. |
|
| 241 | 255 |
void erase(const Item &i) {
|
| 242 | 256 |
int idx = _iim[i]; |
| 243 | 257 |
_iim[_data[idx].item] = -2; |
| 244 | 258 |
unlace(idx); |
| 245 |
|
|
| 259 |
relocateLast(idx); |
|
| 246 | 260 |
} |
| 247 | 261 |
|
| 248 |
|
|
| 249 |
/// \brief Returns the priority of \c i. |
|
| 262 |
/// \brief The priority of the given item. |
|
| 250 | 263 |
/// |
| 251 |
/// This function returns the priority of item \c i. |
|
| 252 |
/// \pre \c i must be in the heap. |
|
| 264 |
/// This function returns the priority of the given item. |
|
| 253 | 265 |
/// \param i The item. |
| 266 |
/// \pre \e i must be in the heap. |
|
| 254 | 267 |
Prio operator[](const Item &i) const {
|
| 255 | 268 |
int idx = _iim[i]; |
| 256 | 269 |
return _data[idx].value; |
| 257 | 270 |
} |
| 258 | 271 |
|
| 259 |
/// \brief \c i gets to the heap with priority \c p independently |
|
| 260 |
/// if \c i was already there. |
|
| 272 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 273 |
/// not stored in the heap. |
|
| 261 | 274 |
/// |
| 262 |
/// This method calls \ref push(\c i, \c p) if \c i is not stored |
|
| 263 |
/// in the heap and sets the priority of \c i to \c p otherwise. |
|
| 275 |
/// This method sets the priority of the given item if it is |
|
| 276 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 277 |
/// item into the heap with the given priority. |
|
| 264 | 278 |
/// \param i The item. |
| 265 | 279 |
/// \param p The priority. |
| 266 | 280 |
void set(const Item &i, const Prio &p) {
|
| 267 | 281 |
int idx = _iim[i]; |
| 268 | 282 |
if (idx < 0) {
|
| 269 | 283 |
push(i, p); |
| 270 | 284 |
} else if (Direction::less(p, _data[idx].value)) {
|
| 271 | 285 |
decrease(i, p); |
| 272 | 286 |
} else {
|
| 273 | 287 |
increase(i, p); |
| 274 | 288 |
} |
| 275 | 289 |
} |
| 276 | 290 |
|
| 277 |
/// \brief |
|
| 291 |
/// \brief Decrease the priority of an item to the given value. |
|
| 278 | 292 |
/// |
| 279 |
/// This method decreases the priority of item \c i to \c p. |
|
| 280 |
/// \pre \c i must be stored in the heap with priority at least \c |
|
| 281 |
/// |
|
| 293 |
/// This function decreases the priority of an item to the given value. |
|
| 282 | 294 |
/// \param i The item. |
| 283 | 295 |
/// \param p The priority. |
| 296 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
| 284 | 297 |
void decrease(const Item &i, const Prio &p) {
|
| 285 | 298 |
int idx = _iim[i]; |
| 286 | 299 |
unlace(idx); |
| 287 | 300 |
_data[idx].value = p; |
| 288 | 301 |
if (Direction::less(p, _minimum)) {
|
| 289 | 302 |
_minimum = p; |
| 290 | 303 |
} |
| 291 | 304 |
lace(idx); |
| 292 | 305 |
} |
| 293 | 306 |
|
| 294 |
/// \brief |
|
| 307 |
/// \brief Increase the priority of an item to the given value. |
|
| 295 | 308 |
/// |
| 296 |
/// This method sets the priority of item \c i to \c p. |
|
| 297 |
/// \pre \c i must be stored in the heap with priority at most \c |
|
| 298 |
/// |
|
| 309 |
/// This function increases the priority of an item to the given value. |
|
| 299 | 310 |
/// \param i The item. |
| 300 | 311 |
/// \param p The priority. |
| 312 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
| 301 | 313 |
void increase(const Item &i, const Prio &p) {
|
| 302 | 314 |
int idx = _iim[i]; |
| 303 | 315 |
unlace(idx); |
| 304 | 316 |
_data[idx].value = p; |
| 305 | 317 |
lace(idx); |
| 306 | 318 |
} |
| 307 | 319 |
|
| 308 |
/// \brief Returns if \c item is in, has already been in, or has |
|
| 309 |
/// never been in the heap. |
|
| 320 |
/// \brief Return the state of an item. |
|
| 310 | 321 |
/// |
| 311 |
/// This method returns PRE_HEAP if \c item has never been in the |
|
| 312 |
/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
|
| 313 |
/// otherwise. In the latter case it is possible that \c item will |
|
| 314 |
/// get back to the heap again. |
|
| 322 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 323 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 324 |
/// and \c POST_HEAP otherwise. |
|
| 325 |
/// In the latter case it is possible that the item will get back |
|
| 326 |
/// to the heap again. |
|
| 315 | 327 |
/// \param i The item. |
| 316 | 328 |
State state(const Item &i) const {
|
| 317 | 329 |
int idx = _iim[i]; |
| 318 | 330 |
if (idx >= 0) idx = 0; |
| 319 | 331 |
return State(idx); |
| 320 | 332 |
} |
| 321 | 333 |
|
| 322 |
/// \brief |
|
| 334 |
/// \brief Set the state of an item in the heap. |
|
| 323 | 335 |
/// |
| 324 |
/// Sets the state of the \c item in the heap. It can be used to |
|
| 325 |
/// manually clear the heap when it is important to achive the |
|
| 326 |
/// |
|
| 336 |
/// This function sets the state of the given item in the heap. |
|
| 337 |
/// It can be used to manually clear the heap when it is important |
|
| 338 |
/// to achive better time complexity. |
|
| 327 | 339 |
/// \param i The item. |
| 328 | 340 |
/// \param st The state. It should not be \c IN_HEAP. |
| 329 | 341 |
void state(const Item& i, State st) {
|
| 330 | 342 |
switch (st) {
|
| 331 | 343 |
case POST_HEAP: |
| 332 | 344 |
case PRE_HEAP: |
| 333 | 345 |
if (state(i) == IN_HEAP) {
|
| 334 | 346 |
erase(i); |
| 335 | 347 |
} |
| 336 | 348 |
_iim[i] = st; |
| 337 | 349 |
break; |
| 338 | 350 |
case IN_HEAP: |
| 339 | 351 |
break; |
| 340 | 352 |
} |
| 341 | 353 |
} |
| 342 | 354 |
|
| 343 | 355 |
private: |
| 344 | 356 |
|
| 345 | 357 |
struct BucketItem {
|
| 346 | 358 |
BucketItem(const Item& _item, int _value) |
| 347 | 359 |
: item(_item), value(_value) {}
|
| 348 | 360 |
|
| 349 | 361 |
Item item; |
| 350 | 362 |
int value; |
| 351 | 363 |
|
| 352 | 364 |
int prev, next; |
| 353 | 365 |
}; |
| 354 | 366 |
|
| 355 | 367 |
ItemIntMap& _iim; |
| 356 | 368 |
std::vector<int> _first; |
| 357 | 369 |
std::vector<BucketItem> _data; |
| 358 | 370 |
mutable int _minimum; |
| 359 | 371 |
|
| 360 | 372 |
}; // class BucketHeap |
| 361 | 373 |
|
| 362 |
/// \ingroup |
|
| 374 |
/// \ingroup heaps |
|
| 363 | 375 |
/// |
| 364 |
/// \brief |
|
| 376 |
/// \brief Simplified bucket heap data structure. |
|
| 365 | 377 |
/// |
| 366 | 378 |
/// This class implements a simplified \e bucket \e heap data |
| 367 |
/// structure. It does not provide some functionality but it faster |
|
| 368 |
/// and simplier data structure than the BucketHeap. The main |
|
| 369 |
/// difference is that the BucketHeap stores for every key a double |
|
| 370 |
/// linked list while this class stores just simple lists. In the |
|
| 371 |
/// other way it does not support erasing each elements just the |
|
| 372 |
/// minimal and it does not supports key increasing, decreasing. |
|
| 379 |
/// structure. It does not provide some functionality, but it is |
|
| 380 |
/// faster and simpler than BucketHeap. The main difference is |
|
| 381 |
/// that BucketHeap stores a doubly-linked list for each key while |
|
| 382 |
/// this class stores only simply-linked lists. It supports erasing |
|
| 383 |
/// only for the item having minimum priority and it does not support |
|
| 384 |
/// key increasing and decreasing. |
|
| 373 | 385 |
/// |
| 374 |
/// \param IM A read and write Item int map, used internally |
|
| 375 |
/// to handle the cross references. |
|
| 376 |
/// \param MIN If the given parameter is false then instead of the |
|
| 377 |
/// minimum value the maximum can be retrivied with the top() and |
|
| 378 |
/// |
|
| 386 |
/// Note that this implementation does not conform to the |
|
| 387 |
/// \ref concepts::Heap "heap concept" due to the lack of some |
|
| 388 |
/// functionality. |
|
| 389 |
/// |
|
| 390 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 391 |
/// internally to handle the cross references. |
|
| 392 |
/// \tparam MIN Indicate if the heap is a \e min-heap or a \e max-heap. |
|
| 393 |
/// The default is \e min-heap. If this parameter is set to \c false, |
|
| 394 |
/// then the comparison is reversed, so the top(), prio() and pop() |
|
| 395 |
/// functions deal with the item having maximum priority instead of the |
|
| 396 |
/// minimum. |
|
| 379 | 397 |
/// |
| 380 | 398 |
/// \sa BucketHeap |
| 381 | 399 |
template <typename IM, bool MIN = true > |
| 382 | 400 |
class SimpleBucketHeap {
|
| 383 | 401 |
|
| 384 | 402 |
public: |
| 385 |
|
|
| 403 |
|
|
| 404 |
/// Type of the item-int map. |
|
| 405 |
typedef IM ItemIntMap; |
|
| 406 |
/// Type of the priorities. |
|
| 386 | 407 |
typedef int Prio; |
| 387 |
typedef std::pair<Item, Prio> Pair; |
|
| 388 |
typedef IM ItemIntMap; |
|
| 408 |
/// Type of the items stored in the heap. |
|
| 409 |
typedef typename ItemIntMap::Key Item; |
|
| 410 |
/// Type of the item-priority pairs. |
|
| 411 |
typedef std::pair<Item,Prio> Pair; |
|
| 389 | 412 |
|
| 390 | 413 |
private: |
| 391 | 414 |
|
| 392 | 415 |
typedef _bucket_heap_bits::DirectionTraits<MIN> Direction; |
| 393 | 416 |
|
| 394 | 417 |
public: |
| 395 | 418 |
|
| 396 |
/// \brief Type to represent the |
|
| 419 |
/// \brief Type to represent the states of the items. |
|
| 397 | 420 |
/// |
| 398 |
/// Each Item element have a state associated to it. It may be "in heap", |
|
| 399 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
|
| 421 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 422 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 400 | 423 |
/// heap's point of view, but may be useful to the user. |
| 401 | 424 |
/// |
| 402 | 425 |
/// The item-int map must be initialized in such way that it assigns |
| 403 | 426 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 404 | 427 |
enum State {
|
| 405 | 428 |
IN_HEAP = 0, ///< = 0. |
| 406 | 429 |
PRE_HEAP = -1, ///< = -1. |
| 407 | 430 |
POST_HEAP = -2 ///< = -2. |
| 408 | 431 |
}; |
| 409 | 432 |
|
| 410 | 433 |
public: |
| 411 | 434 |
|
| 412 |
/// \brief |
|
| 435 |
/// \brief Constructor. |
|
| 413 | 436 |
/// |
| 414 |
/// The constructor. |
|
| 415 |
/// \param map should be given to the constructor, since it is used |
|
| 416 |
/// internally to handle the cross references. The value of the map |
|
| 417 |
/// should be PRE_HEAP (-1) for each element. |
|
| 437 |
/// Constructor. |
|
| 438 |
/// \param map A map that assigns \c int values to the items. |
|
| 439 |
/// It is used internally to handle the cross references. |
|
| 440 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 418 | 441 |
explicit SimpleBucketHeap(ItemIntMap &map) |
| 419 | 442 |
: _iim(map), _free(-1), _num(0), _minimum(0) {}
|
| 420 | 443 |
|
| 421 |
/// \brief |
|
| 444 |
/// \brief The number of items stored in the heap. |
|
| 422 | 445 |
/// |
| 423 |
/// |
|
| 446 |
/// This function returns the number of items stored in the heap. |
|
| 424 | 447 |
int size() const { return _num; }
|
| 425 | 448 |
|
| 426 |
/// \brief |
|
| 449 |
/// \brief Check if the heap is empty. |
|
| 427 | 450 |
/// |
| 428 |
/// |
|
| 451 |
/// This function returns \c true if the heap is empty. |
|
| 429 | 452 |
bool empty() const { return _num == 0; }
|
| 430 | 453 |
|
| 431 |
/// \brief Make |
|
| 454 |
/// \brief Make the heap empty. |
|
| 432 | 455 |
/// |
| 433 |
/// Make empty this heap. It does not change the cross reference |
|
| 434 |
/// map. If you want to reuse a heap what is not surely empty you |
|
| 435 |
/// should first clear the heap and after that you should set the |
|
| 436 |
/// cross reference map for each item to \c PRE_HEAP. |
|
| 456 |
/// This functon makes the heap empty. |
|
| 457 |
/// It does not change the cross reference map. If you want to reuse |
|
| 458 |
/// a heap that is not surely empty, you should first clear it and |
|
| 459 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 460 |
/// for each item. |
|
| 437 | 461 |
void clear() {
|
| 438 | 462 |
_data.clear(); _first.clear(); _free = -1; _num = 0; _minimum = 0; |
| 439 | 463 |
} |
| 440 | 464 |
|
| 441 | 465 |
/// \brief Insert a pair of item and priority into the heap. |
| 442 | 466 |
/// |
| 443 |
/// |
|
| 467 |
/// This function inserts \c p.first to the heap with priority |
|
| 468 |
/// \c p.second. |
|
| 444 | 469 |
/// \param p The pair to insert. |
| 470 |
/// \pre \c p.first must not be stored in the heap. |
|
| 445 | 471 |
void push(const Pair& p) {
|
| 446 | 472 |
push(p.first, p.second); |
| 447 | 473 |
} |
| 448 | 474 |
|
| 449 | 475 |
/// \brief Insert an item into the heap with the given priority. |
| 450 | 476 |
/// |
| 451 |
/// |
|
| 477 |
/// This function inserts the given item into the heap with the |
|
| 478 |
/// given priority. |
|
| 452 | 479 |
/// \param i The item to insert. |
| 453 | 480 |
/// \param p The priority of the item. |
| 481 |
/// \pre \e i must not be stored in the heap. |
|
| 454 | 482 |
void push(const Item &i, const Prio &p) {
|
| 455 | 483 |
int idx; |
| 456 | 484 |
if (_free == -1) {
|
| 457 | 485 |
idx = _data.size(); |
| 458 | 486 |
_data.push_back(BucketItem(i)); |
| 459 | 487 |
} else {
|
| 460 | 488 |
idx = _free; |
| 461 | 489 |
_free = _data[idx].next; |
| 462 | 490 |
_data[idx].item = i; |
| 463 | 491 |
} |
| 464 | 492 |
_iim[i] = idx; |
| 465 | 493 |
if (p >= int(_first.size())) _first.resize(p + 1, -1); |
| 466 | 494 |
_data[idx].next = _first[p]; |
| 467 | 495 |
_first[p] = idx; |
| 468 | 496 |
if (Direction::less(p, _minimum)) {
|
| 469 | 497 |
_minimum = p; |
| 470 | 498 |
} |
| 471 | 499 |
++_num; |
| 472 | 500 |
} |
| 473 | 501 |
|
| 474 |
/// \brief |
|
| 502 |
/// \brief Return the item having minimum priority. |
|
| 475 | 503 |
/// |
| 476 |
/// This method returns the item with minimum priority. |
|
| 477 |
/// \pre The heap must be nonempty. |
|
| 504 |
/// This function returns the item having minimum priority. |
|
| 505 |
/// \pre The heap must be non-empty. |
|
| 478 | 506 |
Item top() const {
|
| 479 | 507 |
while (_first[_minimum] == -1) {
|
| 480 | 508 |
Direction::increase(_minimum); |
| 481 | 509 |
} |
| 482 | 510 |
return _data[_first[_minimum]].item; |
| 483 | 511 |
} |
| 484 | 512 |
|
| 485 |
/// \brief |
|
| 513 |
/// \brief The minimum priority. |
|
| 486 | 514 |
/// |
| 487 |
/// It returns the minimum priority. |
|
| 488 |
/// \pre The heap must be nonempty. |
|
| 515 |
/// This function returns the minimum priority. |
|
| 516 |
/// \pre The heap must be non-empty. |
|
| 489 | 517 |
Prio prio() const {
|
| 490 | 518 |
while (_first[_minimum] == -1) {
|
| 491 | 519 |
Direction::increase(_minimum); |
| 492 | 520 |
} |
| 493 | 521 |
return _minimum; |
| 494 | 522 |
} |
| 495 | 523 |
|
| 496 |
/// \brief |
|
| 524 |
/// \brief Remove the item having minimum priority. |
|
| 497 | 525 |
/// |
| 498 |
/// This |
|
| 526 |
/// This function removes the item having minimum priority. |
|
| 499 | 527 |
/// \pre The heap must be non-empty. |
| 500 | 528 |
void pop() {
|
| 501 | 529 |
while (_first[_minimum] == -1) {
|
| 502 | 530 |
Direction::increase(_minimum); |
| 503 | 531 |
} |
| 504 | 532 |
int idx = _first[_minimum]; |
| 505 | 533 |
_iim[_data[idx].item] = -2; |
| 506 | 534 |
_first[_minimum] = _data[idx].next; |
| 507 | 535 |
_data[idx].next = _free; |
| 508 | 536 |
_free = idx; |
| 509 | 537 |
--_num; |
| 510 | 538 |
} |
| 511 | 539 |
|
| 512 |
/// \brief |
|
| 540 |
/// \brief The priority of the given item. |
|
| 513 | 541 |
/// |
| 514 |
/// This function returns the priority of item \c i. |
|
| 515 |
/// \warning This operator is not a constant time function |
|
| 516 |
/// because it scans the whole data structure to find the proper |
|
| 517 |
/// value. |
|
| 518 |
/// |
|
| 542 |
/// This function returns the priority of the given item. |
|
| 519 | 543 |
/// \param i The item. |
| 544 |
/// \pre \e i must be in the heap. |
|
| 545 |
/// \warning This operator is not a constant time function because |
|
| 546 |
/// it scans the whole data structure to find the proper value. |
|
| 520 | 547 |
Prio operator[](const Item &i) const {
|
| 521 |
for (int k = 0; k < _first.size(); ++k) {
|
|
| 548 |
for (int k = 0; k < int(_first.size()); ++k) {
|
|
| 522 | 549 |
int idx = _first[k]; |
| 523 | 550 |
while (idx != -1) {
|
| 524 | 551 |
if (_data[idx].item == i) {
|
| 525 | 552 |
return k; |
| 526 | 553 |
} |
| 527 | 554 |
idx = _data[idx].next; |
| 528 | 555 |
} |
| 529 | 556 |
} |
| 530 | 557 |
return -1; |
| 531 | 558 |
} |
| 532 | 559 |
|
| 533 |
/// \brief Returns if \c item is in, has already been in, or has |
|
| 534 |
/// never been in the heap. |
|
| 560 |
/// \brief Return the state of an item. |
|
| 535 | 561 |
/// |
| 536 |
/// This method returns PRE_HEAP if \c item has never been in the |
|
| 537 |
/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
|
| 538 |
/// otherwise. In the latter case it is possible that \c item will |
|
| 539 |
/// get back to the heap again. |
|
| 562 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 563 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 564 |
/// and \c POST_HEAP otherwise. |
|
| 565 |
/// In the latter case it is possible that the item will get back |
|
| 566 |
/// to the heap again. |
|
| 540 | 567 |
/// \param i The item. |
| 541 | 568 |
State state(const Item &i) const {
|
| 542 | 569 |
int idx = _iim[i]; |
| 543 | 570 |
if (idx >= 0) idx = 0; |
| 544 | 571 |
return State(idx); |
| 545 | 572 |
} |
| 546 | 573 |
|
| 547 | 574 |
private: |
| 548 | 575 |
|
| 549 | 576 |
struct BucketItem {
|
| 550 | 577 |
BucketItem(const Item& _item) |
| 551 | 578 |
: item(_item) {}
|
| 552 | 579 |
|
| 553 | 580 |
Item item; |
| 554 | 581 |
int next; |
| 555 | 582 |
}; |
| 556 | 583 |
|
| 557 | 584 |
ItemIntMap& _iim; |
| 558 | 585 |
std::vector<int> _first; |
| 559 | 586 |
std::vector<BucketItem> _data; |
| 560 | 587 |
int _free, _num; |
| 561 | 588 |
mutable int _minimum; |
| 562 | 589 |
|
| 563 | 590 |
}; // class SimpleBucketHeap |
| 564 | 591 |
|
| 565 | 592 |
} |
| 566 | 593 |
|
| 567 | 594 |
#endif |
| ... | ... |
@@ -268,397 +268,399 @@ |
| 268 | 268 |
struct SetElevatorTraits : public Traits {
|
| 269 | 269 |
typedef T Elevator; |
| 270 | 270 |
static Elevator *createElevator(const Digraph&, int) {
|
| 271 | 271 |
LEMON_ASSERT(false, "Elevator is not initialized"); |
| 272 | 272 |
return 0; // ignore warnings |
| 273 | 273 |
} |
| 274 | 274 |
}; |
| 275 | 275 |
|
| 276 | 276 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 277 | 277 |
/// Elevator type |
| 278 | 278 |
/// |
| 279 | 279 |
/// \ref named-templ-param "Named parameter" for setting Elevator |
| 280 | 280 |
/// type. If this named parameter is used, then an external |
| 281 | 281 |
/// elevator object must be passed to the algorithm using the |
| 282 | 282 |
/// \ref elevator(Elevator&) "elevator()" function before calling |
| 283 | 283 |
/// \ref run() or \ref init(). |
| 284 | 284 |
/// \sa SetStandardElevator |
| 285 | 285 |
template <typename T> |
| 286 | 286 |
struct SetElevator |
| 287 | 287 |
: public Circulation<Digraph, LowerMap, UpperMap, SupplyMap, |
| 288 | 288 |
SetElevatorTraits<T> > {
|
| 289 | 289 |
typedef Circulation<Digraph, LowerMap, UpperMap, SupplyMap, |
| 290 | 290 |
SetElevatorTraits<T> > Create; |
| 291 | 291 |
}; |
| 292 | 292 |
|
| 293 | 293 |
template <typename T> |
| 294 | 294 |
struct SetStandardElevatorTraits : public Traits {
|
| 295 | 295 |
typedef T Elevator; |
| 296 | 296 |
static Elevator *createElevator(const Digraph& digraph, int max_level) {
|
| 297 | 297 |
return new Elevator(digraph, max_level); |
| 298 | 298 |
} |
| 299 | 299 |
}; |
| 300 | 300 |
|
| 301 | 301 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 302 | 302 |
/// Elevator type with automatic allocation |
| 303 | 303 |
/// |
| 304 | 304 |
/// \ref named-templ-param "Named parameter" for setting Elevator |
| 305 | 305 |
/// type with automatic allocation. |
| 306 | 306 |
/// The Elevator should have standard constructor interface to be |
| 307 | 307 |
/// able to automatically created by the algorithm (i.e. the |
| 308 | 308 |
/// digraph and the maximum level should be passed to it). |
| 309 | 309 |
/// However an external elevator object could also be passed to the |
| 310 | 310 |
/// algorithm with the \ref elevator(Elevator&) "elevator()" function |
| 311 | 311 |
/// before calling \ref run() or \ref init(). |
| 312 | 312 |
/// \sa SetElevator |
| 313 | 313 |
template <typename T> |
| 314 | 314 |
struct SetStandardElevator |
| 315 | 315 |
: public Circulation<Digraph, LowerMap, UpperMap, SupplyMap, |
| 316 | 316 |
SetStandardElevatorTraits<T> > {
|
| 317 | 317 |
typedef Circulation<Digraph, LowerMap, UpperMap, SupplyMap, |
| 318 | 318 |
SetStandardElevatorTraits<T> > Create; |
| 319 | 319 |
}; |
| 320 | 320 |
|
| 321 | 321 |
/// @} |
| 322 | 322 |
|
| 323 | 323 |
protected: |
| 324 | 324 |
|
| 325 | 325 |
Circulation() {}
|
| 326 | 326 |
|
| 327 | 327 |
public: |
| 328 | 328 |
|
| 329 | 329 |
/// Constructor. |
| 330 | 330 |
|
| 331 | 331 |
/// The constructor of the class. |
| 332 | 332 |
/// |
| 333 | 333 |
/// \param graph The digraph the algorithm runs on. |
| 334 | 334 |
/// \param lower The lower bounds for the flow values on the arcs. |
| 335 | 335 |
/// \param upper The upper bounds (capacities) for the flow values |
| 336 | 336 |
/// on the arcs. |
| 337 | 337 |
/// \param supply The signed supply values of the nodes. |
| 338 | 338 |
Circulation(const Digraph &graph, const LowerMap &lower, |
| 339 | 339 |
const UpperMap &upper, const SupplyMap &supply) |
| 340 | 340 |
: _g(graph), _lo(&lower), _up(&upper), _supply(&supply), |
| 341 | 341 |
_flow(NULL), _local_flow(false), _level(NULL), _local_level(false), |
| 342 | 342 |
_excess(NULL) {}
|
| 343 | 343 |
|
| 344 | 344 |
/// Destructor. |
| 345 | 345 |
~Circulation() {
|
| 346 | 346 |
destroyStructures(); |
| 347 | 347 |
} |
| 348 | 348 |
|
| 349 | 349 |
|
| 350 | 350 |
private: |
| 351 | 351 |
|
| 352 | 352 |
bool checkBoundMaps() {
|
| 353 | 353 |
for (ArcIt e(_g);e!=INVALID;++e) {
|
| 354 | 354 |
if (_tol.less((*_up)[e], (*_lo)[e])) return false; |
| 355 | 355 |
} |
| 356 | 356 |
return true; |
| 357 | 357 |
} |
| 358 | 358 |
|
| 359 | 359 |
void createStructures() {
|
| 360 | 360 |
_node_num = _el = countNodes(_g); |
| 361 | 361 |
|
| 362 | 362 |
if (!_flow) {
|
| 363 | 363 |
_flow = Traits::createFlowMap(_g); |
| 364 | 364 |
_local_flow = true; |
| 365 | 365 |
} |
| 366 | 366 |
if (!_level) {
|
| 367 | 367 |
_level = Traits::createElevator(_g, _node_num); |
| 368 | 368 |
_local_level = true; |
| 369 | 369 |
} |
| 370 | 370 |
if (!_excess) {
|
| 371 | 371 |
_excess = new ExcessMap(_g); |
| 372 | 372 |
} |
| 373 | 373 |
} |
| 374 | 374 |
|
| 375 | 375 |
void destroyStructures() {
|
| 376 | 376 |
if (_local_flow) {
|
| 377 | 377 |
delete _flow; |
| 378 | 378 |
} |
| 379 | 379 |
if (_local_level) {
|
| 380 | 380 |
delete _level; |
| 381 | 381 |
} |
| 382 | 382 |
if (_excess) {
|
| 383 | 383 |
delete _excess; |
| 384 | 384 |
} |
| 385 | 385 |
} |
| 386 | 386 |
|
| 387 | 387 |
public: |
| 388 | 388 |
|
| 389 | 389 |
/// Sets the lower bound map. |
| 390 | 390 |
|
| 391 | 391 |
/// Sets the lower bound map. |
| 392 | 392 |
/// \return <tt>(*this)</tt> |
| 393 | 393 |
Circulation& lowerMap(const LowerMap& map) {
|
| 394 | 394 |
_lo = ↦ |
| 395 | 395 |
return *this; |
| 396 | 396 |
} |
| 397 | 397 |
|
| 398 | 398 |
/// Sets the upper bound (capacity) map. |
| 399 | 399 |
|
| 400 | 400 |
/// Sets the upper bound (capacity) map. |
| 401 | 401 |
/// \return <tt>(*this)</tt> |
| 402 | 402 |
Circulation& upperMap(const UpperMap& map) {
|
| 403 | 403 |
_up = ↦ |
| 404 | 404 |
return *this; |
| 405 | 405 |
} |
| 406 | 406 |
|
| 407 | 407 |
/// Sets the supply map. |
| 408 | 408 |
|
| 409 | 409 |
/// Sets the supply map. |
| 410 | 410 |
/// \return <tt>(*this)</tt> |
| 411 | 411 |
Circulation& supplyMap(const SupplyMap& map) {
|
| 412 | 412 |
_supply = ↦ |
| 413 | 413 |
return *this; |
| 414 | 414 |
} |
| 415 | 415 |
|
| 416 | 416 |
/// \brief Sets the flow map. |
| 417 | 417 |
/// |
| 418 | 418 |
/// Sets the flow map. |
| 419 | 419 |
/// If you don't use this function before calling \ref run() or |
| 420 | 420 |
/// \ref init(), an instance will be allocated automatically. |
| 421 | 421 |
/// The destructor deallocates this automatically allocated map, |
| 422 | 422 |
/// of course. |
| 423 | 423 |
/// \return <tt>(*this)</tt> |
| 424 | 424 |
Circulation& flowMap(FlowMap& map) {
|
| 425 | 425 |
if (_local_flow) {
|
| 426 | 426 |
delete _flow; |
| 427 | 427 |
_local_flow = false; |
| 428 | 428 |
} |
| 429 | 429 |
_flow = ↦ |
| 430 | 430 |
return *this; |
| 431 | 431 |
} |
| 432 | 432 |
|
| 433 | 433 |
/// \brief Sets the elevator used by algorithm. |
| 434 | 434 |
/// |
| 435 | 435 |
/// Sets the elevator used by algorithm. |
| 436 | 436 |
/// If you don't use this function before calling \ref run() or |
| 437 | 437 |
/// \ref init(), an instance will be allocated automatically. |
| 438 | 438 |
/// The destructor deallocates this automatically allocated elevator, |
| 439 | 439 |
/// of course. |
| 440 | 440 |
/// \return <tt>(*this)</tt> |
| 441 | 441 |
Circulation& elevator(Elevator& elevator) {
|
| 442 | 442 |
if (_local_level) {
|
| 443 | 443 |
delete _level; |
| 444 | 444 |
_local_level = false; |
| 445 | 445 |
} |
| 446 | 446 |
_level = &elevator; |
| 447 | 447 |
return *this; |
| 448 | 448 |
} |
| 449 | 449 |
|
| 450 | 450 |
/// \brief Returns a const reference to the elevator. |
| 451 | 451 |
/// |
| 452 | 452 |
/// Returns a const reference to the elevator. |
| 453 | 453 |
/// |
| 454 | 454 |
/// \pre Either \ref run() or \ref init() must be called before |
| 455 | 455 |
/// using this function. |
| 456 | 456 |
const Elevator& elevator() const {
|
| 457 | 457 |
return *_level; |
| 458 | 458 |
} |
| 459 | 459 |
|
| 460 |
/// \brief Sets the tolerance used by algorithm. |
|
| 460 |
/// \brief Sets the tolerance used by the algorithm. |
|
| 461 | 461 |
/// |
| 462 |
/// Sets the tolerance used by algorithm. |
|
| 463 |
Circulation& tolerance(const Tolerance& tolerance) const {
|
|
| 462 |
/// Sets the tolerance object used by the algorithm. |
|
| 463 |
/// \return <tt>(*this)</tt> |
|
| 464 |
Circulation& tolerance(const Tolerance& tolerance) {
|
|
| 464 | 465 |
_tol = tolerance; |
| 465 | 466 |
return *this; |
| 466 | 467 |
} |
| 467 | 468 |
|
| 468 | 469 |
/// \brief Returns a const reference to the tolerance. |
| 469 | 470 |
/// |
| 470 |
/// Returns a const reference to the tolerance |
|
| 471 |
/// Returns a const reference to the tolerance object used by |
|
| 472 |
/// the algorithm. |
|
| 471 | 473 |
const Tolerance& tolerance() const {
|
| 472 |
return |
|
| 474 |
return _tol; |
|
| 473 | 475 |
} |
| 474 | 476 |
|
| 475 | 477 |
/// \name Execution Control |
| 476 | 478 |
/// The simplest way to execute the algorithm is to call \ref run().\n |
| 477 | 479 |
/// If you need better control on the initial solution or the execution, |
| 478 | 480 |
/// you have to call one of the \ref init() functions first, then |
| 479 | 481 |
/// the \ref start() function. |
| 480 | 482 |
|
| 481 | 483 |
///@{
|
| 482 | 484 |
|
| 483 | 485 |
/// Initializes the internal data structures. |
| 484 | 486 |
|
| 485 | 487 |
/// Initializes the internal data structures and sets all flow values |
| 486 | 488 |
/// to the lower bound. |
| 487 | 489 |
void init() |
| 488 | 490 |
{
|
| 489 | 491 |
LEMON_DEBUG(checkBoundMaps(), |
| 490 | 492 |
"Upper bounds must be greater or equal to the lower bounds"); |
| 491 | 493 |
|
| 492 | 494 |
createStructures(); |
| 493 | 495 |
|
| 494 | 496 |
for(NodeIt n(_g);n!=INVALID;++n) {
|
| 495 | 497 |
(*_excess)[n] = (*_supply)[n]; |
| 496 | 498 |
} |
| 497 | 499 |
|
| 498 | 500 |
for (ArcIt e(_g);e!=INVALID;++e) {
|
| 499 | 501 |
_flow->set(e, (*_lo)[e]); |
| 500 | 502 |
(*_excess)[_g.target(e)] += (*_flow)[e]; |
| 501 | 503 |
(*_excess)[_g.source(e)] -= (*_flow)[e]; |
| 502 | 504 |
} |
| 503 | 505 |
|
| 504 | 506 |
// global relabeling tested, but in general case it provides |
| 505 | 507 |
// worse performance for random digraphs |
| 506 | 508 |
_level->initStart(); |
| 507 | 509 |
for(NodeIt n(_g);n!=INVALID;++n) |
| 508 | 510 |
_level->initAddItem(n); |
| 509 | 511 |
_level->initFinish(); |
| 510 | 512 |
for(NodeIt n(_g);n!=INVALID;++n) |
| 511 | 513 |
if(_tol.positive((*_excess)[n])) |
| 512 | 514 |
_level->activate(n); |
| 513 | 515 |
} |
| 514 | 516 |
|
| 515 | 517 |
/// Initializes the internal data structures using a greedy approach. |
| 516 | 518 |
|
| 517 | 519 |
/// Initializes the internal data structures using a greedy approach |
| 518 | 520 |
/// to construct the initial solution. |
| 519 | 521 |
void greedyInit() |
| 520 | 522 |
{
|
| 521 | 523 |
LEMON_DEBUG(checkBoundMaps(), |
| 522 | 524 |
"Upper bounds must be greater or equal to the lower bounds"); |
| 523 | 525 |
|
| 524 | 526 |
createStructures(); |
| 525 | 527 |
|
| 526 | 528 |
for(NodeIt n(_g);n!=INVALID;++n) {
|
| 527 | 529 |
(*_excess)[n] = (*_supply)[n]; |
| 528 | 530 |
} |
| 529 | 531 |
|
| 530 | 532 |
for (ArcIt e(_g);e!=INVALID;++e) {
|
| 531 | 533 |
if (!_tol.less(-(*_excess)[_g.target(e)], (*_up)[e])) {
|
| 532 | 534 |
_flow->set(e, (*_up)[e]); |
| 533 | 535 |
(*_excess)[_g.target(e)] += (*_up)[e]; |
| 534 | 536 |
(*_excess)[_g.source(e)] -= (*_up)[e]; |
| 535 | 537 |
} else if (_tol.less(-(*_excess)[_g.target(e)], (*_lo)[e])) {
|
| 536 | 538 |
_flow->set(e, (*_lo)[e]); |
| 537 | 539 |
(*_excess)[_g.target(e)] += (*_lo)[e]; |
| 538 | 540 |
(*_excess)[_g.source(e)] -= (*_lo)[e]; |
| 539 | 541 |
} else {
|
| 540 | 542 |
Value fc = -(*_excess)[_g.target(e)]; |
| 541 | 543 |
_flow->set(e, fc); |
| 542 | 544 |
(*_excess)[_g.target(e)] = 0; |
| 543 | 545 |
(*_excess)[_g.source(e)] -= fc; |
| 544 | 546 |
} |
| 545 | 547 |
} |
| 546 | 548 |
|
| 547 | 549 |
_level->initStart(); |
| 548 | 550 |
for(NodeIt n(_g);n!=INVALID;++n) |
| 549 | 551 |
_level->initAddItem(n); |
| 550 | 552 |
_level->initFinish(); |
| 551 | 553 |
for(NodeIt n(_g);n!=INVALID;++n) |
| 552 | 554 |
if(_tol.positive((*_excess)[n])) |
| 553 | 555 |
_level->activate(n); |
| 554 | 556 |
} |
| 555 | 557 |
|
| 556 | 558 |
///Executes the algorithm |
| 557 | 559 |
|
| 558 | 560 |
///This function executes the algorithm. |
| 559 | 561 |
/// |
| 560 | 562 |
///\return \c true if a feasible circulation is found. |
| 561 | 563 |
/// |
| 562 | 564 |
///\sa barrier() |
| 563 | 565 |
///\sa barrierMap() |
| 564 | 566 |
bool start() |
| 565 | 567 |
{
|
| 566 | 568 |
|
| 567 | 569 |
Node act; |
| 568 | 570 |
Node bact=INVALID; |
| 569 | 571 |
Node last_activated=INVALID; |
| 570 | 572 |
while((act=_level->highestActive())!=INVALID) {
|
| 571 | 573 |
int actlevel=(*_level)[act]; |
| 572 | 574 |
int mlevel=_node_num; |
| 573 | 575 |
Value exc=(*_excess)[act]; |
| 574 | 576 |
|
| 575 | 577 |
for(OutArcIt e(_g,act);e!=INVALID; ++e) {
|
| 576 | 578 |
Node v = _g.target(e); |
| 577 | 579 |
Value fc=(*_up)[e]-(*_flow)[e]; |
| 578 | 580 |
if(!_tol.positive(fc)) continue; |
| 579 | 581 |
if((*_level)[v]<actlevel) {
|
| 580 | 582 |
if(!_tol.less(fc, exc)) {
|
| 581 | 583 |
_flow->set(e, (*_flow)[e] + exc); |
| 582 | 584 |
(*_excess)[v] += exc; |
| 583 | 585 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
| 584 | 586 |
_level->activate(v); |
| 585 | 587 |
(*_excess)[act] = 0; |
| 586 | 588 |
_level->deactivate(act); |
| 587 | 589 |
goto next_l; |
| 588 | 590 |
} |
| 589 | 591 |
else {
|
| 590 | 592 |
_flow->set(e, (*_up)[e]); |
| 591 | 593 |
(*_excess)[v] += fc; |
| 592 | 594 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
| 593 | 595 |
_level->activate(v); |
| 594 | 596 |
exc-=fc; |
| 595 | 597 |
} |
| 596 | 598 |
} |
| 597 | 599 |
else if((*_level)[v]<mlevel) mlevel=(*_level)[v]; |
| 598 | 600 |
} |
| 599 | 601 |
for(InArcIt e(_g,act);e!=INVALID; ++e) {
|
| 600 | 602 |
Node v = _g.source(e); |
| 601 | 603 |
Value fc=(*_flow)[e]-(*_lo)[e]; |
| 602 | 604 |
if(!_tol.positive(fc)) continue; |
| 603 | 605 |
if((*_level)[v]<actlevel) {
|
| 604 | 606 |
if(!_tol.less(fc, exc)) {
|
| 605 | 607 |
_flow->set(e, (*_flow)[e] - exc); |
| 606 | 608 |
(*_excess)[v] += exc; |
| 607 | 609 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
| 608 | 610 |
_level->activate(v); |
| 609 | 611 |
(*_excess)[act] = 0; |
| 610 | 612 |
_level->deactivate(act); |
| 611 | 613 |
goto next_l; |
| 612 | 614 |
} |
| 613 | 615 |
else {
|
| 614 | 616 |
_flow->set(e, (*_lo)[e]); |
| 615 | 617 |
(*_excess)[v] += fc; |
| 616 | 618 |
if(!_level->active(v) && _tol.positive((*_excess)[v])) |
| 617 | 619 |
_level->activate(v); |
| 618 | 620 |
exc-=fc; |
| 619 | 621 |
} |
| 620 | 622 |
} |
| 621 | 623 |
else if((*_level)[v]<mlevel) mlevel=(*_level)[v]; |
| 622 | 624 |
} |
| 623 | 625 |
|
| 624 | 626 |
(*_excess)[act] = exc; |
| 625 | 627 |
if(!_tol.positive(exc)) _level->deactivate(act); |
| 626 | 628 |
else if(mlevel==_node_num) {
|
| 627 | 629 |
_level->liftHighestActiveToTop(); |
| 628 | 630 |
_el = _node_num; |
| 629 | 631 |
return false; |
| 630 | 632 |
} |
| 631 | 633 |
else {
|
| 632 | 634 |
_level->liftHighestActive(mlevel+1); |
| 633 | 635 |
if(_level->onLevel(actlevel)==0) {
|
| 634 | 636 |
_el = actlevel; |
| 635 | 637 |
return false; |
| 636 | 638 |
} |
| 637 | 639 |
} |
| 638 | 640 |
next_l: |
| 639 | 641 |
; |
| 640 | 642 |
} |
| 641 | 643 |
return true; |
| 642 | 644 |
} |
| 643 | 645 |
|
| 644 | 646 |
/// Runs the algorithm. |
| 645 | 647 |
|
| 646 | 648 |
/// This function runs the algorithm. |
| 647 | 649 |
/// |
| 648 | 650 |
/// \return \c true if a feasible circulation is found. |
| 649 | 651 |
/// |
| 650 | 652 |
/// \note Apart from the return value, c.run() is just a shortcut of |
| 651 | 653 |
/// the following code. |
| 652 | 654 |
/// \code |
| 653 | 655 |
/// c.greedyInit(); |
| 654 | 656 |
/// c.start(); |
| 655 | 657 |
/// \endcode |
| 656 | 658 |
bool run() {
|
| 657 | 659 |
greedyInit(); |
| 658 | 660 |
return start(); |
| 659 | 661 |
} |
| 660 | 662 |
|
| 661 | 663 |
/// @} |
| 662 | 664 |
|
| 663 | 665 |
/// \name Query Functions |
| 664 | 666 |
/// The results of the circulation algorithm can be obtained using |
| 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_CONCEPTS_HEAP_H |
|
| 20 |
#define LEMON_CONCEPTS_HEAP_H |
|
| 21 |
|
|
| 19 | 22 |
///\ingroup concept |
| 20 | 23 |
///\file |
| 21 | 24 |
///\brief The concept of heaps. |
| 22 | 25 |
|
| 23 |
#ifndef LEMON_CONCEPTS_HEAP_H |
|
| 24 |
#define LEMON_CONCEPTS_HEAP_H |
|
| 25 |
|
|
| 26 | 26 |
#include <lemon/core.h> |
| 27 | 27 |
#include <lemon/concept_check.h> |
| 28 | 28 |
|
| 29 | 29 |
namespace lemon {
|
| 30 | 30 |
|
| 31 | 31 |
namespace concepts {
|
| 32 | 32 |
|
| 33 | 33 |
/// \addtogroup concept |
| 34 | 34 |
/// @{
|
| 35 | 35 |
|
| 36 | 36 |
/// \brief The heap concept. |
| 37 | 37 |
/// |
| 38 |
/// Concept class describing the main interface of heaps. A \e heap |
|
| 39 |
/// is a data structure for storing items with specified values called |
|
| 40 |
/// \e priorities in such a way that finding the item with minimum |
|
| 41 |
/// priority is efficient. In a heap one can change the priority of an |
|
| 42 |
/// |
|
| 38 |
/// This concept class describes the main interface of heaps. |
|
| 39 |
/// The various \ref heaps "heap structures" are efficient |
|
| 40 |
/// implementations of the abstract data type \e priority \e queue. |
|
| 41 |
/// They store items with specified values called \e priorities |
|
| 42 |
/// in such a way that finding and removing the item with minimum |
|
| 43 |
/// priority are efficient. The basic operations are adding and |
|
| 44 |
/// erasing items, changing the priority of an item, etc. |
|
| 43 | 45 |
/// |
| 44 |
/// \tparam PR Type of the priority of the items. |
|
| 45 |
/// \tparam IM A read and writable item map with int values, used |
|
| 46 |
/// Heaps are crucial in several algorithms, such as Dijkstra and Prim. |
|
| 47 |
/// Any class that conforms to this concept can be used easily in such |
|
| 48 |
/// algorithms. |
|
| 49 |
/// |
|
| 50 |
/// \tparam PR Type of the priorities of the items. |
|
| 51 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 46 | 52 |
/// internally to handle the cross references. |
| 47 |
/// \tparam |
|
| 53 |
/// \tparam CMP A functor class for comparing the priorities. |
|
| 48 | 54 |
/// The default is \c std::less<PR>. |
| 49 | 55 |
#ifdef DOXYGEN |
| 50 |
template <typename PR, typename IM, typename |
|
| 56 |
template <typename PR, typename IM, typename CMP> |
|
| 51 | 57 |
#else |
| 52 |
template <typename PR, typename IM> |
|
| 58 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
| 53 | 59 |
#endif |
| 54 | 60 |
class Heap {
|
| 55 | 61 |
public: |
| 56 | 62 |
|
| 57 | 63 |
/// Type of the item-int map. |
| 58 | 64 |
typedef IM ItemIntMap; |
| 59 | 65 |
/// Type of the priorities. |
| 60 | 66 |
typedef PR Prio; |
| 61 | 67 |
/// Type of the items stored in the heap. |
| 62 | 68 |
typedef typename ItemIntMap::Key Item; |
| 63 | 69 |
|
| 64 | 70 |
/// \brief Type to represent the states of the items. |
| 65 | 71 |
/// |
| 66 | 72 |
/// Each item has a state associated to it. It can be "in heap", |
| 67 |
/// "pre heap" or "post heap". The later two are indifferent |
|
| 68 |
/// from the point of view of the heap, but may be useful for |
|
| 69 |
/// |
|
| 73 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 74 |
/// heap's point of view, but may be useful to the user. |
|
| 70 | 75 |
/// |
| 71 | 76 |
/// The item-int map must be initialized in such way that it assigns |
| 72 | 77 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 73 | 78 |
enum State {
|
| 74 | 79 |
IN_HEAP = 0, ///< = 0. The "in heap" state constant. |
| 75 |
PRE_HEAP = -1, ///< = -1. The "pre heap" state constant. |
|
| 76 |
POST_HEAP = -2 ///< = -2. The "post heap" state constant. |
|
| 80 |
PRE_HEAP = -1, ///< = -1. The "pre-heap" state constant. |
|
| 81 |
POST_HEAP = -2 ///< = -2. The "post-heap" state constant. |
|
| 77 | 82 |
}; |
| 78 | 83 |
|
| 79 |
/// \brief |
|
| 84 |
/// \brief Constructor. |
|
| 80 | 85 |
/// |
| 81 |
/// |
|
| 86 |
/// Constructor. |
|
| 82 | 87 |
/// \param map A map that assigns \c int values to keys of type |
| 83 | 88 |
/// \c Item. It is used internally by the heap implementations to |
| 84 | 89 |
/// handle the cross references. The assigned value must be |
| 85 |
/// \c PRE_HEAP (<tt>-1</tt>) for |
|
| 90 |
/// \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 86 | 91 |
explicit Heap(ItemIntMap &map) {}
|
| 87 | 92 |
|
| 93 |
/// \brief Constructor. |
|
| 94 |
/// |
|
| 95 |
/// Constructor. |
|
| 96 |
/// \param map A map that assigns \c int values to keys of type |
|
| 97 |
/// \c Item. It is used internally by the heap implementations to |
|
| 98 |
/// handle the cross references. The assigned value must be |
|
| 99 |
/// \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 100 |
/// \param comp The function object used for comparing the priorities. |
|
| 101 |
explicit Heap(ItemIntMap &map, const CMP &comp) {}
|
|
| 102 |
|
|
| 88 | 103 |
/// \brief The number of items stored in the heap. |
| 89 | 104 |
/// |
| 90 |
/// |
|
| 105 |
/// This function returns the number of items stored in the heap. |
|
| 91 | 106 |
int size() const { return 0; }
|
| 92 | 107 |
|
| 93 |
/// \brief |
|
| 108 |
/// \brief Check if the heap is empty. |
|
| 94 | 109 |
/// |
| 95 |
/// |
|
| 110 |
/// This function returns \c true if the heap is empty. |
|
| 96 | 111 |
bool empty() const { return false; }
|
| 97 | 112 |
|
| 98 |
/// \brief |
|
| 113 |
/// \brief Make the heap empty. |
|
| 99 | 114 |
/// |
| 100 |
/// Makes the heap empty. |
|
| 101 |
void clear(); |
|
| 115 |
/// This functon makes the heap empty. |
|
| 116 |
/// It does not change the cross reference map. If you want to reuse |
|
| 117 |
/// a heap that is not surely empty, you should first clear it and |
|
| 118 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 119 |
/// for each item. |
|
| 120 |
void clear() {}
|
|
| 102 | 121 |
|
| 103 |
/// \brief |
|
| 122 |
/// \brief Insert an item into the heap with the given priority. |
|
| 104 | 123 |
/// |
| 105 |
/// |
|
| 124 |
/// This function inserts the given item into the heap with the |
|
| 125 |
/// given priority. |
|
| 106 | 126 |
/// \param i The item to insert. |
| 107 | 127 |
/// \param p The priority of the item. |
| 128 |
/// \pre \e i must not be stored in the heap. |
|
| 108 | 129 |
void push(const Item &i, const Prio &p) {}
|
| 109 | 130 |
|
| 110 |
/// \brief |
|
| 131 |
/// \brief Return the item having minimum priority. |
|
| 111 | 132 |
/// |
| 112 |
/// |
|
| 133 |
/// This function returns the item having minimum priority. |
|
| 113 | 134 |
/// \pre The heap must be non-empty. |
| 114 | 135 |
Item top() const {}
|
| 115 | 136 |
|
| 116 | 137 |
/// \brief The minimum priority. |
| 117 | 138 |
/// |
| 118 |
/// |
|
| 139 |
/// This function returns the minimum priority. |
|
| 119 | 140 |
/// \pre The heap must be non-empty. |
| 120 | 141 |
Prio prio() const {}
|
| 121 | 142 |
|
| 122 |
/// \brief |
|
| 143 |
/// \brief Remove the item having minimum priority. |
|
| 123 | 144 |
/// |
| 124 |
/// |
|
| 145 |
/// This function removes the item having minimum priority. |
|
| 125 | 146 |
/// \pre The heap must be non-empty. |
| 126 | 147 |
void pop() {}
|
| 127 | 148 |
|
| 128 |
/// \brief |
|
| 149 |
/// \brief Remove the given item from the heap. |
|
| 129 | 150 |
/// |
| 130 |
/// |
|
| 151 |
/// This function removes the given item from the heap if it is |
|
| 152 |
/// already stored. |
|
| 131 | 153 |
/// \param i The item to delete. |
| 154 |
/// \pre \e i must be in the heap. |
|
| 132 | 155 |
void erase(const Item &i) {}
|
| 133 | 156 |
|
| 134 |
/// \brief The priority of |
|
| 157 |
/// \brief The priority of the given item. |
|
| 135 | 158 |
/// |
| 136 |
/// |
|
| 159 |
/// This function returns the priority of the given item. |
|
| 137 | 160 |
/// \param i The item. |
| 138 |
/// \pre \ |
|
| 161 |
/// \pre \e i must be in the heap. |
|
| 139 | 162 |
Prio operator[](const Item &i) const {}
|
| 140 | 163 |
|
| 141 |
/// \brief |
|
| 164 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 142 | 165 |
/// not stored in the heap. |
| 143 | 166 |
/// |
| 144 | 167 |
/// This method sets the priority of the given item if it is |
| 145 |
/// already stored in the heap. |
|
| 146 |
/// Otherwise it inserts the given item with the given priority. |
|
| 168 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 169 |
/// item into the heap with the given priority. |
|
| 147 | 170 |
/// |
| 148 | 171 |
/// \param i The item. |
| 149 | 172 |
/// \param p The priority. |
| 150 | 173 |
void set(const Item &i, const Prio &p) {}
|
| 151 | 174 |
|
| 152 |
/// \brief |
|
| 175 |
/// \brief Decrease the priority of an item to the given value. |
|
| 153 | 176 |
/// |
| 154 |
/// |
|
| 177 |
/// This function decreases the priority of an item to the given value. |
|
| 155 | 178 |
/// \param i The item. |
| 156 | 179 |
/// \param p The priority. |
| 157 |
/// \pre \ |
|
| 180 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
| 158 | 181 |
void decrease(const Item &i, const Prio &p) {}
|
| 159 | 182 |
|
| 160 |
/// \brief |
|
| 183 |
/// \brief Increase the priority of an item to the given value. |
|
| 161 | 184 |
/// |
| 162 |
/// |
|
| 185 |
/// This function increases the priority of an item to the given value. |
|
| 163 | 186 |
/// \param i The item. |
| 164 | 187 |
/// \param p The priority. |
| 165 |
/// \pre \ |
|
| 188 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
| 166 | 189 |
void increase(const Item &i, const Prio &p) {}
|
| 167 | 190 |
|
| 168 |
/// \brief Returns if an item is in, has already been in, or has |
|
| 169 |
/// never been in the heap. |
|
| 191 |
/// \brief Return the state of an item. |
|
| 170 | 192 |
/// |
| 171 | 193 |
/// This method returns \c PRE_HEAP if the given item has never |
| 172 | 194 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
| 173 | 195 |
/// and \c POST_HEAP otherwise. |
| 174 | 196 |
/// In the latter case it is possible that the item will get back |
| 175 | 197 |
/// to the heap again. |
| 176 | 198 |
/// \param i The item. |
| 177 | 199 |
State state(const Item &i) const {}
|
| 178 | 200 |
|
| 179 |
/// \brief |
|
| 201 |
/// \brief Set the state of an item in the heap. |
|
| 180 | 202 |
/// |
| 181 |
/// Sets the state of the given item in the heap. It can be used |
|
| 182 |
/// to manually clear the heap when it is important to achive the |
|
| 183 |
/// |
|
| 203 |
/// This function sets the state of the given item in the heap. |
|
| 204 |
/// It can be used to manually clear the heap when it is important |
|
| 205 |
/// to achive better time complexity. |
|
| 184 | 206 |
/// \param i The item. |
| 185 | 207 |
/// \param st The state. It should not be \c IN_HEAP. |
| 186 | 208 |
void state(const Item& i, State st) {}
|
| 187 | 209 |
|
| 188 | 210 |
|
| 189 | 211 |
template <typename _Heap> |
| 190 | 212 |
struct Constraints {
|
| 191 | 213 |
public: |
| 192 | 214 |
void constraints() {
|
| 193 | 215 |
typedef typename _Heap::Item OwnItem; |
| 194 | 216 |
typedef typename _Heap::Prio OwnPrio; |
| 195 | 217 |
typedef typename _Heap::State OwnState; |
| 196 | 218 |
|
| 197 | 219 |
Item item; |
| 198 | 220 |
Prio prio; |
| 199 | 221 |
item=Item(); |
| 200 | 222 |
prio=Prio(); |
| 201 | 223 |
ignore_unused_variable_warning(item); |
| 202 | 224 |
ignore_unused_variable_warning(prio); |
| 203 | 225 |
|
| 204 | 226 |
OwnItem own_item; |
| 205 | 227 |
OwnPrio own_prio; |
| 206 | 228 |
OwnState own_state; |
| 207 | 229 |
own_item=Item(); |
| 208 | 230 |
own_prio=Prio(); |
| 209 | 231 |
ignore_unused_variable_warning(own_item); |
| 210 | 232 |
ignore_unused_variable_warning(own_prio); |
| 211 | 233 |
ignore_unused_variable_warning(own_state); |
| 212 | 234 |
|
| 213 | 235 |
_Heap heap1(map); |
| 214 | 236 |
_Heap heap2 = heap1; |
| 215 | 237 |
ignore_unused_variable_warning(heap1); |
| 216 | 238 |
ignore_unused_variable_warning(heap2); |
| 217 | 239 |
|
| 218 | 240 |
int s = heap.size(); |
| 219 | 241 |
ignore_unused_variable_warning(s); |
| 220 | 242 |
bool e = heap.empty(); |
| 221 | 243 |
ignore_unused_variable_warning(e); |
| 222 | 244 |
|
| 223 | 245 |
prio = heap.prio(); |
| 224 | 246 |
item = heap.top(); |
| 225 | 247 |
prio = heap[item]; |
| 226 | 248 |
own_prio = heap.prio(); |
| 227 | 249 |
own_item = heap.top(); |
| 228 | 250 |
own_prio = heap[own_item]; |
| 229 | 251 |
|
| 230 | 252 |
heap.push(item, prio); |
| 231 | 253 |
heap.push(own_item, own_prio); |
| 232 | 254 |
heap.pop(); |
| 233 | 255 |
|
| 234 | 256 |
heap.set(item, prio); |
| 235 | 257 |
heap.decrease(item, prio); |
| 236 | 258 |
heap.increase(item, prio); |
| 237 | 259 |
heap.set(own_item, own_prio); |
| 238 | 260 |
heap.decrease(own_item, own_prio); |
| 239 | 261 |
heap.increase(own_item, own_prio); |
| 240 | 262 |
|
| 241 | 263 |
heap.erase(item); |
| 242 | 264 |
heap.erase(own_item); |
| 243 | 265 |
heap.clear(); |
| 244 | 266 |
|
| 245 | 267 |
own_state = heap.state(own_item); |
| 246 | 268 |
heap.state(own_item, own_state); |
| 247 | 269 |
|
| 248 | 270 |
own_state = _Heap::PRE_HEAP; |
| 249 | 271 |
own_state = _Heap::IN_HEAP; |
| 250 | 272 |
own_state = _Heap::POST_HEAP; |
| 251 | 273 |
} |
| 252 | 274 |
|
| 253 | 275 |
_Heap& heap; |
| 254 | 276 |
ItemIntMap& map; |
| 255 | 277 |
}; |
| 256 | 278 |
}; |
| 257 | 279 |
|
| 258 | 280 |
/// @} |
| 259 | 281 |
} // namespace lemon |
| 260 | 282 |
} |
| 261 | 283 |
#endif |
| 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 | 19 |
#ifndef LEMON_FIB_HEAP_H |
| 20 | 20 |
#define LEMON_FIB_HEAP_H |
| 21 | 21 |
|
| 22 | 22 |
///\file |
| 23 |
///\ingroup auxdat |
|
| 24 |
///\brief Fibonacci Heap implementation. |
|
| 23 |
///\ingroup heaps |
|
| 24 |
///\brief Fibonacci heap implementation. |
|
| 25 | 25 |
|
| 26 | 26 |
#include <vector> |
| 27 |
#include <utility> |
|
| 27 | 28 |
#include <functional> |
| 28 | 29 |
#include <lemon/math.h> |
| 29 | 30 |
|
| 30 | 31 |
namespace lemon {
|
| 31 | 32 |
|
| 32 |
/// \ingroup |
|
| 33 |
/// \ingroup heaps |
|
| 33 | 34 |
/// |
| 34 |
///\brief Fibonacci |
|
| 35 |
/// \brief Fibonacci heap data structure. |
|
| 35 | 36 |
/// |
| 36 |
///This class implements the \e Fibonacci \e heap data structure. A \e heap |
|
| 37 |
///is a data structure for storing items with specified values called \e |
|
| 38 |
///priorities in such a way that finding the item with minimum priority is |
|
| 39 |
///efficient. \c CMP specifies the ordering of the priorities. In a heap |
|
| 40 |
/// |
|
| 37 |
/// This class implements the \e Fibonacci \e heap data structure. |
|
| 38 |
/// It fully conforms to the \ref concepts::Heap "heap concept". |
|
| 41 | 39 |
/// |
| 42 |
///The methods \ref increase and \ref erase are not efficient in a Fibonacci |
|
| 43 |
///heap. In case of many calls to these operations, it is better to use a |
|
| 44 |
///\ref |
|
| 40 |
/// The methods \ref increase() and \ref erase() are not efficient in a |
|
| 41 |
/// Fibonacci heap. In case of many calls of these operations, it is |
|
| 42 |
/// better to use other heap structure, e.g. \ref BinHeap "binary heap". |
|
| 45 | 43 |
/// |
| 46 |
///\param PRIO Type of the priority of the items. |
|
| 47 |
///\param IM A read and writable Item int map, used internally |
|
| 48 |
///to handle the cross references. |
|
| 49 |
///\param CMP A class for the ordering of the priorities. The |
|
| 50 |
///default is \c std::less<PRIO>. |
|
| 51 |
/// |
|
| 52 |
///\sa BinHeap |
|
| 53 |
///\sa Dijkstra |
|
| 44 |
/// \tparam PR Type of the priorities of the items. |
|
| 45 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 46 |
/// internally to handle the cross references. |
|
| 47 |
/// \tparam CMP A functor class for comparing the priorities. |
|
| 48 |
/// The default is \c std::less<PR>. |
|
| 54 | 49 |
#ifdef DOXYGEN |
| 55 |
template <typename |
|
| 50 |
template <typename PR, typename IM, typename CMP> |
|
| 56 | 51 |
#else |
| 57 |
template <typename |
|
| 52 |
template <typename PR, typename IM, typename CMP = std::less<PR> > |
|
| 58 | 53 |
#endif |
| 59 | 54 |
class FibHeap {
|
| 60 | 55 |
public: |
| 61 |
|
|
| 56 |
|
|
| 57 |
/// Type of the item-int map. |
|
| 62 | 58 |
typedef IM ItemIntMap; |
| 63 |
///\e |
|
| 64 |
typedef PRIO Prio; |
|
| 65 |
/// |
|
| 59 |
/// Type of the priorities. |
|
| 60 |
typedef PR Prio; |
|
| 61 |
/// Type of the items stored in the heap. |
|
| 66 | 62 |
typedef typename ItemIntMap::Key Item; |
| 67 |
/// |
|
| 63 |
/// Type of the item-priority pairs. |
|
| 68 | 64 |
typedef std::pair<Item,Prio> Pair; |
| 69 |
/// |
|
| 65 |
/// Functor type for comparing the priorities. |
|
| 70 | 66 |
typedef CMP Compare; |
| 71 | 67 |
|
| 72 | 68 |
private: |
| 73 | 69 |
class Store; |
| 74 | 70 |
|
| 75 | 71 |
std::vector<Store> _data; |
| 76 | 72 |
int _minimum; |
| 77 | 73 |
ItemIntMap &_iim; |
| 78 | 74 |
Compare _comp; |
| 79 | 75 |
int _num; |
| 80 | 76 |
|
| 81 | 77 |
public: |
| 82 | 78 |
|
| 83 |
/// \brief Type to represent the |
|
| 79 |
/// \brief Type to represent the states of the items. |
|
| 84 | 80 |
/// |
| 85 |
/// Each Item element have a state associated to it. It may be "in heap", |
|
| 86 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
|
| 81 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 82 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 87 | 83 |
/// heap's point of view, but may be useful to the user. |
| 88 | 84 |
/// |
| 89 | 85 |
/// The item-int map must be initialized in such way that it assigns |
| 90 | 86 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
| 91 | 87 |
enum State {
|
| 92 | 88 |
IN_HEAP = 0, ///< = 0. |
| 93 | 89 |
PRE_HEAP = -1, ///< = -1. |
| 94 | 90 |
POST_HEAP = -2 ///< = -2. |
| 95 | 91 |
}; |
| 96 | 92 |
|
| 97 |
/// \brief |
|
| 93 |
/// \brief Constructor. |
|
| 98 | 94 |
/// |
| 99 |
/// \c map should be given to the constructor, since it is |
|
| 100 |
/// used internally to handle the cross references. |
|
| 95 |
/// Constructor. |
|
| 96 |
/// \param map A map that assigns \c int values to the items. |
|
| 97 |
/// It is used internally to handle the cross references. |
|
| 98 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 101 | 99 |
explicit FibHeap(ItemIntMap &map) |
| 102 | 100 |
: _minimum(0), _iim(map), _num() {}
|
| 103 | 101 |
|
| 104 |
/// \brief |
|
| 102 |
/// \brief Constructor. |
|
| 105 | 103 |
/// |
| 106 |
/// \c map should be given to the constructor, since it is used |
|
| 107 |
/// internally to handle the cross references. \c comp is an |
|
| 108 |
/// |
|
| 104 |
/// Constructor. |
|
| 105 |
/// \param map A map that assigns \c int values to the items. |
|
| 106 |
/// It is used internally to handle the cross references. |
|
| 107 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 108 |
/// \param comp The function object used for comparing the priorities. |
|
| 109 | 109 |
FibHeap(ItemIntMap &map, const Compare &comp) |
| 110 | 110 |
: _minimum(0), _iim(map), _comp(comp), _num() {}
|
| 111 | 111 |
|
| 112 | 112 |
/// \brief The number of items stored in the heap. |
| 113 | 113 |
/// |
| 114 |
/// |
|
| 114 |
/// This function returns the number of items stored in the heap. |
|
| 115 | 115 |
int size() const { return _num; }
|
| 116 | 116 |
|
| 117 |
/// \brief |
|
| 117 |
/// \brief Check if the heap is empty. |
|
| 118 | 118 |
/// |
| 119 |
/// |
|
| 119 |
/// This function returns \c true if the heap is empty. |
|
| 120 | 120 |
bool empty() const { return _num==0; }
|
| 121 | 121 |
|
| 122 |
/// \brief Make |
|
| 122 |
/// \brief Make the heap empty. |
|
| 123 | 123 |
/// |
| 124 |
/// Make empty this heap. It does not change the cross reference |
|
| 125 |
/// map. If you want to reuse a heap what is not surely empty you |
|
| 126 |
/// should first clear the heap and after that you should set the |
|
| 127 |
/// cross reference map for each item to \c PRE_HEAP. |
|
| 124 |
/// This functon makes the heap empty. |
|
| 125 |
/// It does not change the cross reference map. If you want to reuse |
|
| 126 |
/// a heap that is not surely empty, you should first clear it and |
|
| 127 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 128 |
/// for each item. |
|
| 128 | 129 |
void clear() {
|
| 129 | 130 |
_data.clear(); _minimum = 0; _num = 0; |
| 130 | 131 |
} |
| 131 | 132 |
|
| 132 |
/// \brief \c item gets to the heap with priority \c value independently |
|
| 133 |
/// if \c item was already there. |
|
| 133 |
/// \brief Insert an item into the heap with the given priority. |
|
| 134 | 134 |
/// |
| 135 |
/// This method calls \ref push(\c item, \c value) if \c item is not |
|
| 136 |
/// stored in the heap and it calls \ref decrease(\c item, \c value) or |
|
| 137 |
/// \ref increase(\c item, \c value) otherwise. |
|
| 138 |
void set (const Item& item, const Prio& value) {
|
|
| 139 |
int i=_iim[item]; |
|
| 140 |
if ( i >= 0 && _data[i].in ) {
|
|
| 141 |
if ( _comp(value, _data[i].prio) ) decrease(item, value); |
|
| 142 |
if ( _comp(_data[i].prio, value) ) increase(item, value); |
|
| 143 |
} else push(item, value); |
|
| 144 |
} |
|
| 145 |
|
|
| 146 |
/// \brief Adds \c item to the heap with priority \c value. |
|
| 147 |
/// |
|
| 148 |
/// Adds \c item to the heap with priority \c value. |
|
| 149 |
/// \pre \c item must not be stored in the heap. |
|
| 150 |
void push (const Item& item, const Prio& value) {
|
|
| 135 |
/// This function inserts the given item into the heap with the |
|
| 136 |
/// given priority. |
|
| 137 |
/// \param item The item to insert. |
|
| 138 |
/// \param prio The priority of the item. |
|
| 139 |
/// \pre \e item must not be stored in the heap. |
|
| 140 |
void push (const Item& item, const Prio& prio) {
|
|
| 151 | 141 |
int i=_iim[item]; |
| 152 | 142 |
if ( i < 0 ) {
|
| 153 | 143 |
int s=_data.size(); |
| 154 | 144 |
_iim.set( item, s ); |
| 155 | 145 |
Store st; |
| 156 | 146 |
st.name=item; |
| 157 | 147 |
_data.push_back(st); |
| 158 | 148 |
i=s; |
| 159 | 149 |
} else {
|
| 160 | 150 |
_data[i].parent=_data[i].child=-1; |
| 161 | 151 |
_data[i].degree=0; |
| 162 | 152 |
_data[i].in=true; |
| 163 | 153 |
_data[i].marked=false; |
| 164 | 154 |
} |
| 165 | 155 |
|
| 166 | 156 |
if ( _num ) {
|
| 167 | 157 |
_data[_data[_minimum].right_neighbor].left_neighbor=i; |
| 168 | 158 |
_data[i].right_neighbor=_data[_minimum].right_neighbor; |
| 169 | 159 |
_data[_minimum].right_neighbor=i; |
| 170 | 160 |
_data[i].left_neighbor=_minimum; |
| 171 |
if ( _comp( |
|
| 161 |
if ( _comp( prio, _data[_minimum].prio) ) _minimum=i; |
|
| 172 | 162 |
} else {
|
| 173 | 163 |
_data[i].right_neighbor=_data[i].left_neighbor=i; |
| 174 | 164 |
_minimum=i; |
| 175 | 165 |
} |
| 176 |
_data[i].prio= |
|
| 166 |
_data[i].prio=prio; |
|
| 177 | 167 |
++_num; |
| 178 | 168 |
} |
| 179 | 169 |
|
| 180 |
/// \brief |
|
| 170 |
/// \brief Return the item having minimum priority. |
|
| 181 | 171 |
/// |
| 182 |
/// This method returns the item with minimum priority relative to \c |
|
| 183 |
/// Compare. |
|
| 184 |
/// |
|
| 172 |
/// This function returns the item having minimum priority. |
|
| 173 |
/// \pre The heap must be non-empty. |
|
| 185 | 174 |
Item top() const { return _data[_minimum].name; }
|
| 186 | 175 |
|
| 187 |
/// \brief |
|
| 176 |
/// \brief The minimum priority. |
|
| 188 | 177 |
/// |
| 189 |
/// It returns the minimum priority relative to \c Compare. |
|
| 190 |
/// \pre The heap must be nonempty. |
|
| 191 |
|
|
| 178 |
/// This function returns the minimum priority. |
|
| 179 |
/// \pre The heap must be non-empty. |
|
| 180 |
Prio prio() const { return _data[_minimum].prio; }
|
|
| 192 | 181 |
|
| 193 |
/// \brief |
|
| 182 |
/// \brief Remove the item having minimum priority. |
|
| 194 | 183 |
/// |
| 195 |
/// It returns the priority of \c item. |
|
| 196 |
/// \pre \c item must be in the heap. |
|
| 197 |
const Prio& operator[](const Item& item) const {
|
|
| 198 |
return _data[_iim[item]].prio; |
|
| 199 |
} |
|
| 200 |
|
|
| 201 |
/// \brief Deletes the item with minimum priority relative to \c Compare. |
|
| 202 |
/// |
|
| 203 |
/// This method deletes the item with minimum priority relative to \c |
|
| 204 |
/// Compare from the heap. |
|
| 184 |
/// This function removes the item having minimum priority. |
|
| 205 | 185 |
/// \pre The heap must be non-empty. |
| 206 | 186 |
void pop() {
|
| 207 | 187 |
/*The first case is that there are only one root.*/ |
| 208 | 188 |
if ( _data[_minimum].left_neighbor==_minimum ) {
|
| 209 | 189 |
_data[_minimum].in=false; |
| 210 | 190 |
if ( _data[_minimum].degree!=0 ) {
|
| 211 |
|
|
| 191 |
makeRoot(_data[_minimum].child); |
|
| 212 | 192 |
_minimum=_data[_minimum].child; |
| 213 | 193 |
balance(); |
| 214 | 194 |
} |
| 215 | 195 |
} else {
|
| 216 | 196 |
int right=_data[_minimum].right_neighbor; |
| 217 | 197 |
unlace(_minimum); |
| 218 | 198 |
_data[_minimum].in=false; |
| 219 | 199 |
if ( _data[_minimum].degree > 0 ) {
|
| 220 | 200 |
int left=_data[_minimum].left_neighbor; |
| 221 | 201 |
int child=_data[_minimum].child; |
| 222 | 202 |
int last_child=_data[child].left_neighbor; |
| 223 | 203 |
|
| 224 |
|
|
| 204 |
makeRoot(child); |
|
| 225 | 205 |
|
| 226 | 206 |
_data[left].right_neighbor=child; |
| 227 | 207 |
_data[child].left_neighbor=left; |
| 228 | 208 |
_data[right].left_neighbor=last_child; |
| 229 | 209 |
_data[last_child].right_neighbor=right; |
| 230 | 210 |
} |
| 231 | 211 |
_minimum=right; |
| 232 | 212 |
balance(); |
| 233 | 213 |
} // the case where there are more roots |
| 234 | 214 |
--_num; |
| 235 | 215 |
} |
| 236 | 216 |
|
| 237 |
/// \brief |
|
| 217 |
/// \brief Remove the given item from the heap. |
|
| 238 | 218 |
/// |
| 239 |
/// This method deletes \c item from the heap, if \c item was already |
|
| 240 |
/// stored in the heap. It is quite inefficient in Fibonacci heaps. |
|
| 219 |
/// This function removes the given item from the heap if it is |
|
| 220 |
/// already stored. |
|
| 221 |
/// \param item The item to delete. |
|
| 222 |
/// \pre \e item must be in the heap. |
|
| 241 | 223 |
void erase (const Item& item) {
|
| 242 | 224 |
int i=_iim[item]; |
| 243 | 225 |
|
| 244 | 226 |
if ( i >= 0 && _data[i].in ) {
|
| 245 | 227 |
if ( _data[i].parent!=-1 ) {
|
| 246 | 228 |
int p=_data[i].parent; |
| 247 | 229 |
cut(i,p); |
| 248 | 230 |
cascade(p); |
| 249 | 231 |
} |
| 250 | 232 |
_minimum=i; //As if its prio would be -infinity |
| 251 | 233 |
pop(); |
| 252 | 234 |
} |
| 253 | 235 |
} |
| 254 | 236 |
|
| 255 |
/// \brief |
|
| 237 |
/// \brief The priority of the given item. |
|
| 256 | 238 |
/// |
| 257 |
/// This method decreases the priority of \c item to \c value. |
|
| 258 |
/// \pre \c item must be stored in the heap with priority at least \c |
|
| 259 |
/// value relative to \c Compare. |
|
| 260 |
void decrease (Item item, const Prio& value) {
|
|
| 239 |
/// This function returns the priority of the given item. |
|
| 240 |
/// \param item The item. |
|
| 241 |
/// \pre \e item must be in the heap. |
|
| 242 |
Prio operator[](const Item& item) const {
|
|
| 243 |
return _data[_iim[item]].prio; |
|
| 244 |
} |
|
| 245 |
|
|
| 246 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 247 |
/// not stored in the heap. |
|
| 248 |
/// |
|
| 249 |
/// This method sets the priority of the given item if it is |
|
| 250 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 251 |
/// item into the heap with the given priority. |
|
| 252 |
/// \param item The item. |
|
| 253 |
/// \param prio The priority. |
|
| 254 |
void set (const Item& item, const Prio& prio) {
|
|
| 261 | 255 |
int i=_iim[item]; |
| 262 |
_data[i]. |
|
| 256 |
if ( i >= 0 && _data[i].in ) {
|
|
| 257 |
if ( _comp(prio, _data[i].prio) ) decrease(item, prio); |
|
| 258 |
if ( _comp(_data[i].prio, prio) ) increase(item, prio); |
|
| 259 |
} else push(item, prio); |
|
| 260 |
} |
|
| 261 |
|
|
| 262 |
/// \brief Decrease the priority of an item to the given value. |
|
| 263 |
/// |
|
| 264 |
/// This function decreases the priority of an item to the given value. |
|
| 265 |
/// \param item The item. |
|
| 266 |
/// \param prio The priority. |
|
| 267 |
/// \pre \e item must be stored in the heap with priority at least \e prio. |
|
| 268 |
void decrease (const Item& item, const Prio& prio) {
|
|
| 269 |
int i=_iim[item]; |
|
| 270 |
_data[i].prio=prio; |
|
| 263 | 271 |
int p=_data[i].parent; |
| 264 | 272 |
|
| 265 |
if ( p!=-1 && _comp( |
|
| 273 |
if ( p!=-1 && _comp(prio, _data[p].prio) ) {
|
|
| 266 | 274 |
cut(i,p); |
| 267 | 275 |
cascade(p); |
| 268 | 276 |
} |
| 269 |
if ( _comp( |
|
| 277 |
if ( _comp(prio, _data[_minimum].prio) ) _minimum=i; |
|
| 270 | 278 |
} |
| 271 | 279 |
|
| 272 |
/// \brief |
|
| 280 |
/// \brief Increase the priority of an item to the given value. |
|
| 273 | 281 |
/// |
| 274 |
/// This method sets the priority of \c item to \c value. Though |
|
| 275 |
/// there is no precondition on the priority of \c item, this |
|
| 276 |
/// method should be used only if it is indeed necessary to increase |
|
| 277 |
/// (relative to \c Compare) the priority of \c item, because this |
|
| 278 |
/// method is inefficient. |
|
| 279 |
void increase (Item item, const Prio& value) {
|
|
| 282 |
/// This function increases the priority of an item to the given value. |
|
| 283 |
/// \param item The item. |
|
| 284 |
/// \param prio The priority. |
|
| 285 |
/// \pre \e item must be stored in the heap with priority at most \e prio. |
|
| 286 |
void increase (const Item& item, const Prio& prio) {
|
|
| 280 | 287 |
erase(item); |
| 281 |
push(item, |
|
| 288 |
push(item, prio); |
|
| 282 | 289 |
} |
| 283 | 290 |
|
| 284 |
|
|
| 285 |
/// \brief Returns if \c item is in, has already been in, or has never |
|
| 286 |
/// |
|
| 291 |
/// \brief Return the state of an item. |
|
| 287 | 292 |
/// |
| 288 |
/// This method returns PRE_HEAP if \c item has never been in the |
|
| 289 |
/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
|
| 290 |
/// otherwise. In the latter case it is possible that \c item will |
|
| 291 |
/// get back to the heap again. |
|
| 293 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 294 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 295 |
/// and \c POST_HEAP otherwise. |
|
| 296 |
/// In the latter case it is possible that the item will get back |
|
| 297 |
/// to the heap again. |
|
| 298 |
/// \param item The item. |
|
| 292 | 299 |
State state(const Item &item) const {
|
| 293 | 300 |
int i=_iim[item]; |
| 294 | 301 |
if( i>=0 ) {
|
| 295 | 302 |
if ( _data[i].in ) i=0; |
| 296 | 303 |
else i=-2; |
| 297 | 304 |
} |
| 298 | 305 |
return State(i); |
| 299 | 306 |
} |
| 300 | 307 |
|
| 301 |
/// \brief |
|
| 308 |
/// \brief Set the state of an item in the heap. |
|
| 302 | 309 |
/// |
| 303 |
/// Sets the state of the \c item in the heap. It can be used to |
|
| 304 |
/// manually clear the heap when it is important to achive the |
|
| 305 |
/// |
|
| 310 |
/// This function sets the state of the given item in the heap. |
|
| 311 |
/// It can be used to manually clear the heap when it is important |
|
| 312 |
/// to achive better time complexity. |
|
| 306 | 313 |
/// \param i The item. |
| 307 | 314 |
/// \param st The state. It should not be \c IN_HEAP. |
| 308 | 315 |
void state(const Item& i, State st) {
|
| 309 | 316 |
switch (st) {
|
| 310 | 317 |
case POST_HEAP: |
| 311 | 318 |
case PRE_HEAP: |
| 312 | 319 |
if (state(i) == IN_HEAP) {
|
| 313 | 320 |
erase(i); |
| 314 | 321 |
} |
| 315 | 322 |
_iim[i] = st; |
| 316 | 323 |
break; |
| 317 | 324 |
case IN_HEAP: |
| 318 | 325 |
break; |
| 319 | 326 |
} |
| 320 | 327 |
} |
| 321 | 328 |
|
| 322 | 329 |
private: |
| 323 | 330 |
|
| 324 | 331 |
void balance() {
|
| 325 | 332 |
|
| 326 | 333 |
int maxdeg=int( std::floor( 2.08*log(double(_data.size()))))+1; |
| 327 | 334 |
|
| 328 | 335 |
std::vector<int> A(maxdeg,-1); |
| 329 | 336 |
|
| 330 | 337 |
/* |
| 331 | 338 |
*Recall that now minimum does not point to the minimum prio element. |
| 332 | 339 |
*We set minimum to this during balance(). |
| 333 | 340 |
*/ |
| 334 | 341 |
int anchor=_data[_minimum].left_neighbor; |
| 335 | 342 |
int next=_minimum; |
| 336 | 343 |
bool end=false; |
| 337 | 344 |
|
| 338 | 345 |
do {
|
| 339 | 346 |
int active=next; |
| 340 | 347 |
if ( anchor==active ) end=true; |
| 341 | 348 |
int d=_data[active].degree; |
| 342 | 349 |
next=_data[active].right_neighbor; |
| 343 | 350 |
|
| 344 | 351 |
while (A[d]!=-1) {
|
| 345 | 352 |
if( _comp(_data[active].prio, _data[A[d]].prio) ) {
|
| 346 | 353 |
fuse(active,A[d]); |
| 347 | 354 |
} else {
|
| 348 | 355 |
fuse(A[d],active); |
| 349 | 356 |
active=A[d]; |
| 350 | 357 |
} |
| 351 | 358 |
A[d]=-1; |
| 352 | 359 |
++d; |
| 353 | 360 |
} |
| 354 | 361 |
A[d]=active; |
| 355 | 362 |
} while ( !end ); |
| 356 | 363 |
|
| 357 | 364 |
|
| 358 | 365 |
while ( _data[_minimum].parent >=0 ) |
| 359 | 366 |
_minimum=_data[_minimum].parent; |
| 360 | 367 |
int s=_minimum; |
| 361 | 368 |
int m=_minimum; |
| 362 | 369 |
do {
|
| 363 | 370 |
if ( _comp(_data[s].prio, _data[_minimum].prio) ) _minimum=s; |
| 364 | 371 |
s=_data[s].right_neighbor; |
| 365 | 372 |
} while ( s != m ); |
| 366 | 373 |
} |
| 367 | 374 |
|
| 368 |
void |
|
| 375 |
void makeRoot(int c) {
|
|
| 369 | 376 |
int s=c; |
| 370 | 377 |
do {
|
| 371 | 378 |
_data[s].parent=-1; |
| 372 | 379 |
s=_data[s].right_neighbor; |
| 373 | 380 |
} while ( s != c ); |
| 374 | 381 |
} |
| 375 | 382 |
|
| 376 | 383 |
void cut(int a, int b) {
|
| 377 | 384 |
/* |
| 378 | 385 |
*Replacing a from the children of b. |
| 379 | 386 |
*/ |
| 380 | 387 |
--_data[b].degree; |
| 381 | 388 |
|
| 382 | 389 |
if ( _data[b].degree !=0 ) {
|
| 383 | 390 |
int child=_data[b].child; |
| 384 | 391 |
if ( child==a ) |
| 385 | 392 |
_data[b].child=_data[child].right_neighbor; |
| 386 | 393 |
unlace(a); |
| 387 | 394 |
} |
| 388 | 395 |
|
| 389 | 396 |
|
| 390 | 397 |
/*Lacing a to the roots.*/ |
| 391 | 398 |
int right=_data[_minimum].right_neighbor; |
| 392 | 399 |
_data[_minimum].right_neighbor=a; |
| 393 | 400 |
_data[a].left_neighbor=_minimum; |
| 394 | 401 |
_data[a].right_neighbor=right; |
| 395 | 402 |
_data[right].left_neighbor=a; |
| 396 | 403 |
|
| 397 | 404 |
_data[a].parent=-1; |
| 398 | 405 |
_data[a].marked=false; |
| 399 | 406 |
} |
| 400 | 407 |
|
| 401 | 408 |
void cascade(int a) {
|
| 402 | 409 |
if ( _data[a].parent!=-1 ) {
|
| 403 | 410 |
int p=_data[a].parent; |
| 404 | 411 |
|
| 405 | 412 |
if ( _data[a].marked==false ) _data[a].marked=true; |
| 406 | 413 |
else {
|
| 407 | 414 |
cut(a,p); |
| 408 | 415 |
cascade(p); |
| 409 | 416 |
} |
| 410 | 417 |
} |
| 411 | 418 |
} |
| 412 | 419 |
|
| 413 | 420 |
void fuse(int a, int b) {
|
| 414 | 421 |
unlace(b); |
| 415 | 422 |
|
| 416 | 423 |
/*Lacing b under a.*/ |
| 417 | 424 |
_data[b].parent=a; |
| 418 | 425 |
|
| 419 | 426 |
if (_data[a].degree==0) {
|
| 420 | 427 |
_data[b].left_neighbor=b; |
| 421 | 428 |
_data[b].right_neighbor=b; |
| 422 | 429 |
_data[a].child=b; |
| 423 | 430 |
} else {
|
| 424 | 431 |
int child=_data[a].child; |
| 425 | 432 |
int last_child=_data[child].left_neighbor; |
| 426 | 433 |
_data[child].left_neighbor=b; |
| 427 | 434 |
_data[b].right_neighbor=child; |
| 428 | 435 |
_data[last_child].right_neighbor=b; |
| 429 | 436 |
_data[b].left_neighbor=last_child; |
| 430 | 437 |
} |
| 431 | 438 |
|
| 432 | 439 |
++_data[a].degree; |
| 433 | 440 |
|
| 434 | 441 |
_data[b].marked=false; |
| 435 | 442 |
} |
| 436 | 443 |
|
| 437 | 444 |
/* |
| 438 | 445 |
*It is invoked only if a has siblings. |
| 439 | 446 |
*/ |
| 440 | 447 |
void unlace(int a) {
|
| 441 | 448 |
int leftn=_data[a].left_neighbor; |
| 442 | 449 |
int rightn=_data[a].right_neighbor; |
| 443 | 450 |
_data[leftn].right_neighbor=rightn; |
| 444 | 451 |
_data[rightn].left_neighbor=leftn; |
| 445 | 452 |
} |
| 446 | 453 |
|
| 447 | 454 |
|
| 448 | 455 |
class Store {
|
| 449 | 456 |
friend class FibHeap; |
| 450 | 457 |
|
| 451 | 458 |
Item name; |
| 452 | 459 |
int parent; |
| 453 | 460 |
int left_neighbor; |
| 454 | 461 |
int right_neighbor; |
| 455 | 462 |
int child; |
| 456 | 463 |
int degree; |
| 457 | 464 |
bool marked; |
| 458 | 465 |
bool in; |
| 459 | 466 |
Prio prio; |
| 460 | 467 |
|
| 461 | 468 |
Store() : parent(-1), child(-1), degree(), marked(false), in(true) {}
|
| 462 | 469 |
}; |
| 463 | 470 |
}; |
| 464 | 471 |
|
| 465 | 472 |
} //namespace lemon |
| 466 | 473 |
|
| 467 | 474 |
#endif //LEMON_FIB_HEAP_H |
| 468 | 475 |
| 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 | 19 |
#ifndef LEMON_MAPS_H |
| 20 | 20 |
#define LEMON_MAPS_H |
| 21 | 21 |
|
| 22 | 22 |
#include <iterator> |
| 23 | 23 |
#include <functional> |
| 24 | 24 |
#include <vector> |
| 25 |
#include <map> |
|
| 25 | 26 |
|
| 26 | 27 |
#include <lemon/core.h> |
| 27 | 28 |
|
| 28 | 29 |
///\file |
| 29 | 30 |
///\ingroup maps |
| 30 | 31 |
///\brief Miscellaneous property maps |
| 31 | 32 |
|
| 32 |
#include <map> |
|
| 33 |
|
|
| 34 | 33 |
namespace lemon {
|
| 35 | 34 |
|
| 36 | 35 |
/// \addtogroup maps |
| 37 | 36 |
/// @{
|
| 38 | 37 |
|
| 39 | 38 |
/// Base class of maps. |
| 40 | 39 |
|
| 41 | 40 |
/// Base class of maps. It provides the necessary type definitions |
| 42 | 41 |
/// required by the map %concepts. |
| 43 | 42 |
template<typename K, typename V> |
| 44 | 43 |
class MapBase {
|
| 45 | 44 |
public: |
| 46 | 45 |
/// \brief The key type of the map. |
| 47 | 46 |
typedef K Key; |
| 48 | 47 |
/// \brief The value type of the map. |
| 49 | 48 |
/// (The type of objects associated with the keys). |
| 50 | 49 |
typedef V Value; |
| 51 | 50 |
}; |
| 52 | 51 |
|
| 53 | 52 |
|
| 54 | 53 |
/// Null map. (a.k.a. DoNothingMap) |
| 55 | 54 |
|
| 56 | 55 |
/// This map can be used if you have to provide a map only for |
| 57 | 56 |
/// its type definitions, or if you have to provide a writable map, |
| 58 | 57 |
/// but data written to it is not required (i.e. it will be sent to |
| 59 | 58 |
/// <tt>/dev/null</tt>). |
| 60 | 59 |
/// It conforms the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
| 61 | 60 |
/// |
| 62 | 61 |
/// \sa ConstMap |
| 63 | 62 |
template<typename K, typename V> |
| 64 | 63 |
class NullMap : public MapBase<K, V> {
|
| 65 | 64 |
public: |
| 66 | 65 |
///\e |
| 67 | 66 |
typedef K Key; |
| 68 | 67 |
///\e |
| 69 | 68 |
typedef V Value; |
| 70 | 69 |
|
| 71 | 70 |
/// Gives back a default constructed element. |
| 72 | 71 |
Value operator[](const Key&) const { return Value(); }
|
| 73 | 72 |
/// Absorbs the value. |
| 74 | 73 |
void set(const Key&, const Value&) {}
|
| 75 | 74 |
}; |
| 76 | 75 |
|
| 77 | 76 |
/// Returns a \c NullMap class |
| 78 | 77 |
|
| 79 | 78 |
/// This function just returns a \c NullMap class. |
| 80 | 79 |
/// \relates NullMap |
| 81 | 80 |
template <typename K, typename V> |
| 82 | 81 |
NullMap<K, V> nullMap() {
|
| 83 | 82 |
return NullMap<K, V>(); |
| 84 | 83 |
} |
| 85 | 84 |
|
| 86 | 85 |
|
| 87 | 86 |
/// Constant map. |
| 88 | 87 |
|
| 89 | 88 |
/// This \ref concepts::ReadMap "readable map" assigns a specified |
| 90 | 89 |
/// value to each key. |
| 91 | 90 |
/// |
| 92 | 91 |
/// In other aspects it is equivalent to \c NullMap. |
| 93 | 92 |
/// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap" |
| 94 | 93 |
/// concept, but it absorbs the data written to it. |
| 95 | 94 |
/// |
| 96 | 95 |
/// The simplest way of using this map is through the constMap() |
| 97 | 96 |
/// function. |
| 98 | 97 |
/// |
| 99 | 98 |
/// \sa NullMap |
| 100 | 99 |
/// \sa IdentityMap |
| 101 | 100 |
template<typename K, typename V> |
| 102 | 101 |
class ConstMap : public MapBase<K, V> {
|
| 103 | 102 |
private: |
| 104 | 103 |
V _value; |
| 105 | 104 |
public: |
| 106 | 105 |
///\e |
| 107 | 106 |
typedef K Key; |
| 108 | 107 |
///\e |
| 109 | 108 |
typedef V Value; |
| 110 | 109 |
|
| 111 | 110 |
/// Default constructor |
| 112 | 111 |
|
| 113 | 112 |
/// Default constructor. |
| 114 | 113 |
/// The value of the map will be default constructed. |
| 115 | 114 |
ConstMap() {}
|
| 116 | 115 |
|
| 117 | 116 |
/// Constructor with specified initial value |
| 118 | 117 |
|
| 119 | 118 |
/// Constructor with specified initial value. |
| 120 | 119 |
/// \param v The initial value of the map. |
| 121 | 120 |
ConstMap(const Value &v) : _value(v) {}
|
| 122 | 121 |
|
| 123 | 122 |
/// Gives back the specified value. |
| 124 | 123 |
Value operator[](const Key&) const { return _value; }
|
| 125 | 124 |
|
| 126 | 125 |
/// Absorbs the value. |
| 127 | 126 |
void set(const Key&, const Value&) {}
|
| 128 | 127 |
|
| 129 | 128 |
/// Sets the value that is assigned to each key. |
| 130 | 129 |
void setAll(const Value &v) {
|
| 131 | 130 |
_value = v; |
| 132 | 131 |
} |
| 133 | 132 |
|
| 134 | 133 |
template<typename V1> |
| 135 | 134 |
ConstMap(const ConstMap<K, V1> &, const Value &v) : _value(v) {}
|
| 136 | 135 |
}; |
| 137 | 136 |
|
| 138 | 137 |
/// Returns a \c ConstMap class |
| 139 | 138 |
|
| 140 | 139 |
/// This function just returns a \c ConstMap class. |
| 141 | 140 |
/// \relates ConstMap |
| 142 | 141 |
template<typename K, typename V> |
| 143 | 142 |
inline ConstMap<K, V> constMap(const V &v) {
|
| 144 | 143 |
return ConstMap<K, V>(v); |
| 145 | 144 |
} |
| 146 | 145 |
|
| 147 | 146 |
template<typename K, typename V> |
| 148 | 147 |
inline ConstMap<K, V> constMap() {
|
| 149 | 148 |
return ConstMap<K, V>(); |
| 150 | 149 |
} |
| 151 | 150 |
|
| 152 | 151 |
|
| 153 | 152 |
template<typename T, T v> |
| 154 | 153 |
struct Const {};
|
| 155 | 154 |
|
| 156 | 155 |
/// Constant map with inlined constant value. |
| 157 | 156 |
|
| 158 | 157 |
/// This \ref concepts::ReadMap "readable map" assigns a specified |
| 159 | 158 |
/// value to each key. |
| 160 | 159 |
/// |
| 161 | 160 |
/// In other aspects it is equivalent to \c NullMap. |
| 162 | 161 |
/// So it conforms the \ref concepts::ReadWriteMap "ReadWriteMap" |
| 163 | 162 |
/// concept, but it absorbs the data written to it. |
| 164 | 163 |
/// |
| 165 | 164 |
/// The simplest way of using this map is through the constMap() |
| 166 | 165 |
/// function. |
| 167 | 166 |
/// |
| 168 | 167 |
/// \sa NullMap |
| 169 | 168 |
/// \sa IdentityMap |
| 170 | 169 |
template<typename K, typename V, V v> |
| 171 | 170 |
class ConstMap<K, Const<V, v> > : public MapBase<K, V> {
|
| 172 | 171 |
public: |
| 173 | 172 |
///\e |
| 174 | 173 |
typedef K Key; |
| 175 | 174 |
///\e |
| 176 | 175 |
typedef V Value; |
| 177 | 176 |
|
| 178 | 177 |
/// Constructor. |
| 179 | 178 |
ConstMap() {}
|
| 180 | 179 |
|
| 181 | 180 |
/// Gives back the specified value. |
| 182 | 181 |
Value operator[](const Key&) const { return v; }
|
| 183 | 182 |
|
| 184 | 183 |
/// Absorbs the value. |
| 185 | 184 |
void set(const Key&, const Value&) {}
|
| 186 | 185 |
}; |
| 187 | 186 |
|
| 188 | 187 |
/// Returns a \c ConstMap class with inlined constant value |
| 189 | 188 |
|
| 190 | 189 |
/// This function just returns a \c ConstMap class with inlined |
| 191 | 190 |
/// constant value. |
| 192 | 191 |
/// \relates ConstMap |
| 193 | 192 |
template<typename K, typename V, V v> |
| 194 | 193 |
inline ConstMap<K, Const<V, v> > constMap() {
|
| 195 | 194 |
return ConstMap<K, Const<V, v> >(); |
| 196 | 195 |
} |
| 197 | 196 |
|
| 198 | 197 |
|
| 199 | 198 |
/// Identity map. |
| 200 | 199 |
|
| 201 | 200 |
/// This \ref concepts::ReadMap "read-only map" gives back the given |
| 202 | 201 |
/// key as value without any modification. |
| 203 | 202 |
/// |
| 204 | 203 |
/// \sa ConstMap |
| 205 | 204 |
template <typename T> |
| 206 | 205 |
class IdentityMap : public MapBase<T, T> {
|
| 207 | 206 |
public: |
| 208 | 207 |
///\e |
| 209 | 208 |
typedef T Key; |
| 210 | 209 |
///\e |
| 211 | 210 |
typedef T Value; |
| 212 | 211 |
|
| 213 | 212 |
/// Gives back the given value without any modification. |
| 214 | 213 |
Value operator[](const Key &k) const {
|
| 215 | 214 |
return k; |
| 216 | 215 |
} |
| 217 | 216 |
}; |
| 218 | 217 |
|
| 219 | 218 |
/// Returns an \c IdentityMap class |
| 220 | 219 |
|
| 221 | 220 |
/// This function just returns an \c IdentityMap class. |
| 222 | 221 |
/// \relates IdentityMap |
| 223 | 222 |
template<typename T> |
| 224 | 223 |
inline IdentityMap<T> identityMap() {
|
| 225 | 224 |
return IdentityMap<T>(); |
| ... | ... |
@@ -1629,1159 +1628,2075 @@ |
| 1629 | 1628 |
EqualMap(const M1 &m1, const M2 &m2) : _m1(m1), _m2(m2) {}
|
| 1630 | 1629 |
///\e |
| 1631 | 1630 |
Value operator[](const Key &k) const { return _m1[k]==_m2[k]; }
|
| 1632 | 1631 |
}; |
| 1633 | 1632 |
|
| 1634 | 1633 |
/// Returns an \c EqualMap class |
| 1635 | 1634 |
|
| 1636 | 1635 |
/// This function just returns an \c EqualMap class. |
| 1637 | 1636 |
/// |
| 1638 | 1637 |
/// For example, if \c m1 and \c m2 are maps with keys and values of |
| 1639 | 1638 |
/// the same type, then <tt>equalMap(m1,m2)[x]</tt> will be equal to |
| 1640 | 1639 |
/// <tt>m1[x]==m2[x]</tt>. |
| 1641 | 1640 |
/// |
| 1642 | 1641 |
/// \relates EqualMap |
| 1643 | 1642 |
template<typename M1, typename M2> |
| 1644 | 1643 |
inline EqualMap<M1, M2> equalMap(const M1 &m1, const M2 &m2) {
|
| 1645 | 1644 |
return EqualMap<M1, M2>(m1,m2); |
| 1646 | 1645 |
} |
| 1647 | 1646 |
|
| 1648 | 1647 |
|
| 1649 | 1648 |
/// Combination of two maps using the \c < operator |
| 1650 | 1649 |
|
| 1651 | 1650 |
/// This \ref concepts::ReadMap "read-only map" assigns \c true to |
| 1652 | 1651 |
/// the keys for which the corresponding value of the first map is |
| 1653 | 1652 |
/// less then the value of the second map. |
| 1654 | 1653 |
/// Its \c Key type is inherited from \c M1 and its \c Value type is |
| 1655 | 1654 |
/// \c bool. \c M2::Key must be convertible to \c M1::Key. |
| 1656 | 1655 |
/// |
| 1657 | 1656 |
/// If \c m1 is of type \c M1 and \c m2 is of \c M2, then for |
| 1658 | 1657 |
/// \code |
| 1659 | 1658 |
/// LessMap<M1,M2> lm(m1,m2); |
| 1660 | 1659 |
/// \endcode |
| 1661 | 1660 |
/// <tt>lm[x]</tt> will be equal to <tt>m1[x]<m2[x]</tt>. |
| 1662 | 1661 |
/// |
| 1663 | 1662 |
/// The simplest way of using this map is through the lessMap() |
| 1664 | 1663 |
/// function. |
| 1665 | 1664 |
/// |
| 1666 | 1665 |
/// \sa EqualMap |
| 1667 | 1666 |
template<typename M1, typename M2> |
| 1668 | 1667 |
class LessMap : public MapBase<typename M1::Key, bool> {
|
| 1669 | 1668 |
const M1 &_m1; |
| 1670 | 1669 |
const M2 &_m2; |
| 1671 | 1670 |
public: |
| 1672 | 1671 |
///\e |
| 1673 | 1672 |
typedef typename M1::Key Key; |
| 1674 | 1673 |
///\e |
| 1675 | 1674 |
typedef bool Value; |
| 1676 | 1675 |
|
| 1677 | 1676 |
/// Constructor |
| 1678 | 1677 |
LessMap(const M1 &m1, const M2 &m2) : _m1(m1), _m2(m2) {}
|
| 1679 | 1678 |
///\e |
| 1680 | 1679 |
Value operator[](const Key &k) const { return _m1[k]<_m2[k]; }
|
| 1681 | 1680 |
}; |
| 1682 | 1681 |
|
| 1683 | 1682 |
/// Returns an \c LessMap class |
| 1684 | 1683 |
|
| 1685 | 1684 |
/// This function just returns an \c LessMap class. |
| 1686 | 1685 |
/// |
| 1687 | 1686 |
/// For example, if \c m1 and \c m2 are maps with keys and values of |
| 1688 | 1687 |
/// the same type, then <tt>lessMap(m1,m2)[x]</tt> will be equal to |
| 1689 | 1688 |
/// <tt>m1[x]<m2[x]</tt>. |
| 1690 | 1689 |
/// |
| 1691 | 1690 |
/// \relates LessMap |
| 1692 | 1691 |
template<typename M1, typename M2> |
| 1693 | 1692 |
inline LessMap<M1, M2> lessMap(const M1 &m1, const M2 &m2) {
|
| 1694 | 1693 |
return LessMap<M1, M2>(m1,m2); |
| 1695 | 1694 |
} |
| 1696 | 1695 |
|
| 1697 | 1696 |
namespace _maps_bits {
|
| 1698 | 1697 |
|
| 1699 | 1698 |
template <typename _Iterator, typename Enable = void> |
| 1700 | 1699 |
struct IteratorTraits {
|
| 1701 | 1700 |
typedef typename std::iterator_traits<_Iterator>::value_type Value; |
| 1702 | 1701 |
}; |
| 1703 | 1702 |
|
| 1704 | 1703 |
template <typename _Iterator> |
| 1705 | 1704 |
struct IteratorTraits<_Iterator, |
| 1706 | 1705 |
typename exists<typename _Iterator::container_type>::type> |
| 1707 | 1706 |
{
|
| 1708 | 1707 |
typedef typename _Iterator::container_type::value_type Value; |
| 1709 | 1708 |
}; |
| 1710 | 1709 |
|
| 1711 | 1710 |
} |
| 1712 | 1711 |
|
| 1713 | 1712 |
/// @} |
| 1714 | 1713 |
|
| 1715 | 1714 |
/// \addtogroup maps |
| 1716 | 1715 |
/// @{
|
| 1717 | 1716 |
|
| 1718 | 1717 |
/// \brief Writable bool map for logging each \c true assigned element |
| 1719 | 1718 |
/// |
| 1720 | 1719 |
/// A \ref concepts::WriteMap "writable" bool map for logging |
| 1721 | 1720 |
/// each \c true assigned element, i.e it copies subsequently each |
| 1722 | 1721 |
/// keys set to \c true to the given iterator. |
| 1723 | 1722 |
/// The most important usage of it is storing certain nodes or arcs |
| 1724 | 1723 |
/// that were marked \c true by an algorithm. |
| 1725 | 1724 |
/// |
| 1726 | 1725 |
/// There are several algorithms that provide solutions through bool |
| 1727 | 1726 |
/// maps and most of them assign \c true at most once for each key. |
| 1728 | 1727 |
/// In these cases it is a natural request to store each \c true |
| 1729 | 1728 |
/// assigned elements (in order of the assignment), which can be |
| 1730 | 1729 |
/// easily done with LoggerBoolMap. |
| 1731 | 1730 |
/// |
| 1732 | 1731 |
/// The simplest way of using this map is through the loggerBoolMap() |
| 1733 | 1732 |
/// function. |
| 1734 | 1733 |
/// |
| 1735 | 1734 |
/// \tparam IT The type of the iterator. |
| 1736 | 1735 |
/// \tparam KEY The key type of the map. The default value set |
| 1737 | 1736 |
/// according to the iterator type should work in most cases. |
| 1738 | 1737 |
/// |
| 1739 | 1738 |
/// \note The container of the iterator must contain enough space |
| 1740 | 1739 |
/// for the elements or the iterator should be an inserter iterator. |
| 1741 | 1740 |
#ifdef DOXYGEN |
| 1742 | 1741 |
template <typename IT, typename KEY> |
| 1743 | 1742 |
#else |
| 1744 | 1743 |
template <typename IT, |
| 1745 | 1744 |
typename KEY = typename _maps_bits::IteratorTraits<IT>::Value> |
| 1746 | 1745 |
#endif |
| 1747 | 1746 |
class LoggerBoolMap : public MapBase<KEY, bool> {
|
| 1748 | 1747 |
public: |
| 1749 | 1748 |
|
| 1750 | 1749 |
///\e |
| 1751 | 1750 |
typedef KEY Key; |
| 1752 | 1751 |
///\e |
| 1753 | 1752 |
typedef bool Value; |
| 1754 | 1753 |
///\e |
| 1755 | 1754 |
typedef IT Iterator; |
| 1756 | 1755 |
|
| 1757 | 1756 |
/// Constructor |
| 1758 | 1757 |
LoggerBoolMap(Iterator it) |
| 1759 | 1758 |
: _begin(it), _end(it) {}
|
| 1760 | 1759 |
|
| 1761 | 1760 |
/// Gives back the given iterator set for the first key |
| 1762 | 1761 |
Iterator begin() const {
|
| 1763 | 1762 |
return _begin; |
| 1764 | 1763 |
} |
| 1765 | 1764 |
|
| 1766 | 1765 |
/// Gives back the the 'after the last' iterator |
| 1767 | 1766 |
Iterator end() const {
|
| 1768 | 1767 |
return _end; |
| 1769 | 1768 |
} |
| 1770 | 1769 |
|
| 1771 | 1770 |
/// The set function of the map |
| 1772 | 1771 |
void set(const Key& key, Value value) {
|
| 1773 | 1772 |
if (value) {
|
| 1774 | 1773 |
*_end++ = key; |
| 1775 | 1774 |
} |
| 1776 | 1775 |
} |
| 1777 | 1776 |
|
| 1778 | 1777 |
private: |
| 1779 | 1778 |
Iterator _begin; |
| 1780 | 1779 |
Iterator _end; |
| 1781 | 1780 |
}; |
| 1782 | 1781 |
|
| 1783 | 1782 |
/// Returns a \c LoggerBoolMap class |
| 1784 | 1783 |
|
| 1785 | 1784 |
/// This function just returns a \c LoggerBoolMap class. |
| 1786 | 1785 |
/// |
| 1787 | 1786 |
/// The most important usage of it is storing certain nodes or arcs |
| 1788 | 1787 |
/// that were marked \c true by an algorithm. |
| 1789 | 1788 |
/// For example it makes easier to store the nodes in the processing |
| 1790 | 1789 |
/// order of Dfs algorithm, as the following examples show. |
| 1791 | 1790 |
/// \code |
| 1792 | 1791 |
/// std::vector<Node> v; |
| 1793 | 1792 |
/// dfs(g,s).processedMap(loggerBoolMap(std::back_inserter(v))).run(); |
| 1794 | 1793 |
/// \endcode |
| 1795 | 1794 |
/// \code |
| 1796 | 1795 |
/// std::vector<Node> v(countNodes(g)); |
| 1797 | 1796 |
/// dfs(g,s).processedMap(loggerBoolMap(v.begin())).run(); |
| 1798 | 1797 |
/// \endcode |
| 1799 | 1798 |
/// |
| 1800 | 1799 |
/// \note The container of the iterator must contain enough space |
| 1801 | 1800 |
/// for the elements or the iterator should be an inserter iterator. |
| 1802 | 1801 |
/// |
| 1803 | 1802 |
/// \note LoggerBoolMap is just \ref concepts::WriteMap "writable", so |
| 1804 | 1803 |
/// it cannot be used when a readable map is needed, for example as |
| 1805 | 1804 |
/// \c ReachedMap for \c Bfs, \c Dfs and \c Dijkstra algorithms. |
| 1806 | 1805 |
/// |
| 1807 | 1806 |
/// \relates LoggerBoolMap |
| 1808 | 1807 |
template<typename Iterator> |
| 1809 | 1808 |
inline LoggerBoolMap<Iterator> loggerBoolMap(Iterator it) {
|
| 1810 | 1809 |
return LoggerBoolMap<Iterator>(it); |
| 1811 | 1810 |
} |
| 1812 | 1811 |
|
| 1813 | 1812 |
/// @} |
| 1814 | 1813 |
|
| 1815 | 1814 |
/// \addtogroup graph_maps |
| 1816 | 1815 |
/// @{
|
| 1817 | 1816 |
|
| 1818 | 1817 |
/// \brief Provides an immutable and unique id for each item in a graph. |
| 1819 | 1818 |
/// |
| 1820 | 1819 |
/// IdMap provides a unique and immutable id for each item of the |
| 1821 |
/// same type (\c Node, \c Arc or \c Edge) in a graph. This id is |
|
| 1820 |
/// same type (\c Node, \c Arc or \c Edge) in a graph. This id is |
|
| 1822 | 1821 |
/// - \b unique: different items get different ids, |
| 1823 | 1822 |
/// - \b immutable: the id of an item does not change (even if you |
| 1824 | 1823 |
/// delete other nodes). |
| 1825 | 1824 |
/// |
| 1826 | 1825 |
/// Using this map you get access (i.e. can read) the inner id values of |
| 1827 | 1826 |
/// the items stored in the graph, which is returned by the \c id() |
| 1828 | 1827 |
/// function of the graph. This map can be inverted with its member |
| 1829 | 1828 |
/// class \c InverseMap or with the \c operator() member. |
| 1830 | 1829 |
/// |
| 1831 | 1830 |
/// \tparam GR The graph type. |
| 1832 | 1831 |
/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or |
| 1833 | 1832 |
/// \c GR::Edge). |
| 1834 | 1833 |
/// |
| 1835 | 1834 |
/// \see RangeIdMap |
| 1836 | 1835 |
template <typename GR, typename K> |
| 1837 | 1836 |
class IdMap : public MapBase<K, int> {
|
| 1838 | 1837 |
public: |
| 1839 | 1838 |
/// The graph type of IdMap. |
| 1840 | 1839 |
typedef GR Graph; |
| 1841 | 1840 |
typedef GR Digraph; |
| 1842 | 1841 |
/// The key type of IdMap (\c Node, \c Arc or \c Edge). |
| 1843 | 1842 |
typedef K Item; |
| 1844 | 1843 |
/// The key type of IdMap (\c Node, \c Arc or \c Edge). |
| 1845 | 1844 |
typedef K Key; |
| 1846 | 1845 |
/// The value type of IdMap. |
| 1847 | 1846 |
typedef int Value; |
| 1848 | 1847 |
|
| 1849 | 1848 |
/// \brief Constructor. |
| 1850 | 1849 |
/// |
| 1851 | 1850 |
/// Constructor of the map. |
| 1852 | 1851 |
explicit IdMap(const Graph& graph) : _graph(&graph) {}
|
| 1853 | 1852 |
|
| 1854 | 1853 |
/// \brief Gives back the \e id of the item. |
| 1855 | 1854 |
/// |
| 1856 | 1855 |
/// Gives back the immutable and unique \e id of the item. |
| 1857 | 1856 |
int operator[](const Item& item) const { return _graph->id(item);}
|
| 1858 | 1857 |
|
| 1859 | 1858 |
/// \brief Gives back the \e item by its id. |
| 1860 | 1859 |
/// |
| 1861 | 1860 |
/// Gives back the \e item by its id. |
| 1862 | 1861 |
Item operator()(int id) { return _graph->fromId(id, Item()); }
|
| 1863 | 1862 |
|
| 1864 | 1863 |
private: |
| 1865 | 1864 |
const Graph* _graph; |
| 1866 | 1865 |
|
| 1867 | 1866 |
public: |
| 1868 | 1867 |
|
| 1869 | 1868 |
/// \brief This class represents the inverse of its owner (IdMap). |
| 1870 | 1869 |
/// |
| 1871 | 1870 |
/// This class represents the inverse of its owner (IdMap). |
| 1872 | 1871 |
/// \see inverse() |
| 1873 | 1872 |
class InverseMap {
|
| 1874 | 1873 |
public: |
| 1875 | 1874 |
|
| 1876 | 1875 |
/// \brief Constructor. |
| 1877 | 1876 |
/// |
| 1878 | 1877 |
/// Constructor for creating an id-to-item map. |
| 1879 | 1878 |
explicit InverseMap(const Graph& graph) : _graph(&graph) {}
|
| 1880 | 1879 |
|
| 1881 | 1880 |
/// \brief Constructor. |
| 1882 | 1881 |
/// |
| 1883 | 1882 |
/// Constructor for creating an id-to-item map. |
| 1884 | 1883 |
explicit InverseMap(const IdMap& map) : _graph(map._graph) {}
|
| 1885 | 1884 |
|
| 1886 | 1885 |
/// \brief Gives back the given item from its id. |
| 1887 | 1886 |
/// |
| 1888 | 1887 |
/// Gives back the given item from its id. |
| 1889 | 1888 |
Item operator[](int id) const { return _graph->fromId(id, Item());}
|
| 1890 | 1889 |
|
| 1891 | 1890 |
private: |
| 1892 | 1891 |
const Graph* _graph; |
| 1893 | 1892 |
}; |
| 1894 | 1893 |
|
| 1895 | 1894 |
/// \brief Gives back the inverse of the map. |
| 1896 | 1895 |
/// |
| 1897 | 1896 |
/// Gives back the inverse of the IdMap. |
| 1898 | 1897 |
InverseMap inverse() const { return InverseMap(*_graph);}
|
| 1899 | 1898 |
}; |
| 1900 | 1899 |
|
| 1901 | 1900 |
|
| 1902 | 1901 |
/// \brief General cross reference graph map type. |
| 1903 | 1902 |
|
| 1904 | 1903 |
/// This class provides simple invertable graph maps. |
| 1905 |
/// It wraps an arbitrary \ref concepts::ReadWriteMap "ReadWriteMap" |
|
| 1906 |
/// and if a key is set to a new value then store it |
|
| 1907 |
/// in the inverse map. |
|
| 1908 |
/// |
|
| 1904 |
/// It wraps a standard graph map (\c NodeMap, \c ArcMap or \c EdgeMap) |
|
| 1905 |
/// and if a key is set to a new value, then stores it in the inverse map. |
|
| 1909 | 1906 |
/// The values of the map can be accessed |
| 1910 | 1907 |
/// with stl compatible forward iterator. |
| 1911 | 1908 |
/// |
| 1909 |
/// This type is not reference map, so it cannot be modified with |
|
| 1910 |
/// the subscript operator. |
|
| 1911 |
/// |
|
| 1912 | 1912 |
/// \tparam GR The graph type. |
| 1913 | 1913 |
/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or |
| 1914 | 1914 |
/// \c GR::Edge). |
| 1915 | 1915 |
/// \tparam V The value type of the map. |
| 1916 | 1916 |
/// |
| 1917 | 1917 |
/// \see IterableValueMap |
| 1918 | 1918 |
template <typename GR, typename K, typename V> |
| 1919 | 1919 |
class CrossRefMap |
| 1920 | 1920 |
: protected ItemSetTraits<GR, K>::template Map<V>::Type {
|
| 1921 | 1921 |
private: |
| 1922 | 1922 |
|
| 1923 | 1923 |
typedef typename ItemSetTraits<GR, K>:: |
| 1924 | 1924 |
template Map<V>::Type Map; |
| 1925 | 1925 |
|
| 1926 |
typedef std:: |
|
| 1926 |
typedef std::multimap<V, K> Container; |
|
| 1927 | 1927 |
Container _inv_map; |
| 1928 | 1928 |
|
| 1929 | 1929 |
public: |
| 1930 | 1930 |
|
| 1931 | 1931 |
/// The graph type of CrossRefMap. |
| 1932 | 1932 |
typedef GR Graph; |
| 1933 | 1933 |
typedef GR Digraph; |
| 1934 | 1934 |
/// The key type of CrossRefMap (\c Node, \c Arc or \c Edge). |
| 1935 | 1935 |
typedef K Item; |
| 1936 | 1936 |
/// The key type of CrossRefMap (\c Node, \c Arc or \c Edge). |
| 1937 | 1937 |
typedef K Key; |
| 1938 | 1938 |
/// The value type of CrossRefMap. |
| 1939 | 1939 |
typedef V Value; |
| 1940 | 1940 |
|
| 1941 | 1941 |
/// \brief Constructor. |
| 1942 | 1942 |
/// |
| 1943 | 1943 |
/// Construct a new CrossRefMap for the given graph. |
| 1944 | 1944 |
explicit CrossRefMap(const Graph& graph) : Map(graph) {}
|
| 1945 | 1945 |
|
| 1946 | 1946 |
/// \brief Forward iterator for values. |
| 1947 | 1947 |
/// |
| 1948 | 1948 |
/// This iterator is an stl compatible forward |
| 1949 | 1949 |
/// iterator on the values of the map. The values can |
| 1950 | 1950 |
/// be accessed in the <tt>[beginValue, endValue)</tt> range. |
| 1951 |
/// They are considered with multiplicity, so each value is |
|
| 1952 |
/// traversed for each item it is assigned to. |
|
| 1951 | 1953 |
class ValueIterator |
| 1952 | 1954 |
: public std::iterator<std::forward_iterator_tag, Value> {
|
| 1953 | 1955 |
friend class CrossRefMap; |
| 1954 | 1956 |
private: |
| 1955 | 1957 |
ValueIterator(typename Container::const_iterator _it) |
| 1956 | 1958 |
: it(_it) {}
|
| 1957 | 1959 |
public: |
| 1958 | 1960 |
|
| 1959 | 1961 |
ValueIterator() {}
|
| 1960 | 1962 |
|
| 1961 | 1963 |
ValueIterator& operator++() { ++it; return *this; }
|
| 1962 | 1964 |
ValueIterator operator++(int) {
|
| 1963 | 1965 |
ValueIterator tmp(*this); |
| 1964 | 1966 |
operator++(); |
| 1965 | 1967 |
return tmp; |
| 1966 | 1968 |
} |
| 1967 | 1969 |
|
| 1968 | 1970 |
const Value& operator*() const { return it->first; }
|
| 1969 | 1971 |
const Value* operator->() const { return &(it->first); }
|
| 1970 | 1972 |
|
| 1971 | 1973 |
bool operator==(ValueIterator jt) const { return it == jt.it; }
|
| 1972 | 1974 |
bool operator!=(ValueIterator jt) const { return it != jt.it; }
|
| 1973 | 1975 |
|
| 1974 | 1976 |
private: |
| 1975 | 1977 |
typename Container::const_iterator it; |
| 1976 | 1978 |
}; |
| 1977 | 1979 |
|
| 1978 | 1980 |
/// \brief Returns an iterator to the first value. |
| 1979 | 1981 |
/// |
| 1980 | 1982 |
/// Returns an stl compatible iterator to the |
| 1981 | 1983 |
/// first value of the map. The values of the |
| 1982 | 1984 |
/// map can be accessed in the <tt>[beginValue, endValue)</tt> |
| 1983 | 1985 |
/// range. |
| 1984 | 1986 |
ValueIterator beginValue() const {
|
| 1985 | 1987 |
return ValueIterator(_inv_map.begin()); |
| 1986 | 1988 |
} |
| 1987 | 1989 |
|
| 1988 | 1990 |
/// \brief Returns an iterator after the last value. |
| 1989 | 1991 |
/// |
| 1990 | 1992 |
/// Returns an stl compatible iterator after the |
| 1991 | 1993 |
/// last value of the map. The values of the |
| 1992 | 1994 |
/// map can be accessed in the <tt>[beginValue, endValue)</tt> |
| 1993 | 1995 |
/// range. |
| 1994 | 1996 |
ValueIterator endValue() const {
|
| 1995 | 1997 |
return ValueIterator(_inv_map.end()); |
| 1996 | 1998 |
} |
| 1997 | 1999 |
|
| 1998 | 2000 |
/// \brief Sets the value associated with the given key. |
| 1999 | 2001 |
/// |
| 2000 | 2002 |
/// Sets the value associated with the given key. |
| 2001 | 2003 |
void set(const Key& key, const Value& val) {
|
| 2002 | 2004 |
Value oldval = Map::operator[](key); |
| 2003 |
typename Container::iterator it = _inv_map.find(oldval); |
|
| 2004 |
if (it != _inv_map.end() && it->second == key) {
|
|
| 2005 |
|
|
| 2005 |
typename Container::iterator it; |
|
| 2006 |
for (it = _inv_map.equal_range(oldval).first; |
|
| 2007 |
it != _inv_map.equal_range(oldval).second; ++it) {
|
|
| 2008 |
if (it->second == key) {
|
|
| 2009 |
_inv_map.erase(it); |
|
| 2010 |
break; |
|
| 2011 |
} |
|
| 2006 | 2012 |
} |
| 2007 |
_inv_map.insert(make_pair(val, key)); |
|
| 2013 |
_inv_map.insert(std::make_pair(val, key)); |
|
| 2008 | 2014 |
Map::set(key, val); |
| 2009 | 2015 |
} |
| 2010 | 2016 |
|
| 2011 | 2017 |
/// \brief Returns the value associated with the given key. |
| 2012 | 2018 |
/// |
| 2013 | 2019 |
/// Returns the value associated with the given key. |
| 2014 | 2020 |
typename MapTraits<Map>::ConstReturnValue |
| 2015 | 2021 |
operator[](const Key& key) const {
|
| 2016 | 2022 |
return Map::operator[](key); |
| 2017 | 2023 |
} |
| 2018 | 2024 |
|
| 2019 |
/// \brief Gives back |
|
| 2025 |
/// \brief Gives back an item by its value. |
|
| 2020 | 2026 |
/// |
| 2021 |
/// Gives back the item by its value. |
|
| 2022 |
Key operator()(const Value& key) const {
|
|
| 2023 |
|
|
| 2027 |
/// This function gives back an item that is assigned to |
|
| 2028 |
/// the given value or \c INVALID if no such item exists. |
|
| 2029 |
/// If there are more items with the same associated value, |
|
| 2030 |
/// only one of them is returned. |
|
| 2031 |
Key operator()(const Value& val) const {
|
|
| 2032 |
typename Container::const_iterator it = _inv_map.find(val); |
|
| 2024 | 2033 |
return it != _inv_map.end() ? it->second : INVALID; |
| 2025 | 2034 |
} |
| 2026 | 2035 |
|
| 2027 | 2036 |
protected: |
| 2028 | 2037 |
|
| 2029 | 2038 |
/// \brief Erase the key from the map and the inverse map. |
| 2030 | 2039 |
/// |
| 2031 | 2040 |
/// Erase the key from the map and the inverse map. It is called by the |
| 2032 | 2041 |
/// \c AlterationNotifier. |
| 2033 | 2042 |
virtual void erase(const Key& key) {
|
| 2034 | 2043 |
Value val = Map::operator[](key); |
| 2035 |
typename Container::iterator it = _inv_map.find(val); |
|
| 2036 |
if (it != _inv_map.end() && it->second == key) {
|
|
| 2037 |
|
|
| 2044 |
typename Container::iterator it; |
|
| 2045 |
for (it = _inv_map.equal_range(val).first; |
|
| 2046 |
it != _inv_map.equal_range(val).second; ++it) {
|
|
| 2047 |
if (it->second == key) {
|
|
| 2048 |
_inv_map.erase(it); |
|
| 2049 |
break; |
|
| 2050 |
} |
|
| 2038 | 2051 |
} |
| 2039 | 2052 |
Map::erase(key); |
| 2040 | 2053 |
} |
| 2041 | 2054 |
|
| 2042 | 2055 |
/// \brief Erase more keys from the map and the inverse map. |
| 2043 | 2056 |
/// |
| 2044 | 2057 |
/// Erase more keys from the map and the inverse map. It is called by the |
| 2045 | 2058 |
/// \c AlterationNotifier. |
| 2046 | 2059 |
virtual void erase(const std::vector<Key>& keys) {
|
| 2047 | 2060 |
for (int i = 0; i < int(keys.size()); ++i) {
|
| 2048 | 2061 |
Value val = Map::operator[](keys[i]); |
| 2049 |
typename Container::iterator it = _inv_map.find(val); |
|
| 2050 |
if (it != _inv_map.end() && it->second == keys[i]) {
|
|
| 2051 |
|
|
| 2062 |
typename Container::iterator it; |
|
| 2063 |
for (it = _inv_map.equal_range(val).first; |
|
| 2064 |
it != _inv_map.equal_range(val).second; ++it) {
|
|
| 2065 |
if (it->second == keys[i]) {
|
|
| 2066 |
_inv_map.erase(it); |
|
| 2067 |
break; |
|
| 2068 |
} |
|
| 2052 | 2069 |
} |
| 2053 | 2070 |
} |
| 2054 | 2071 |
Map::erase(keys); |
| 2055 | 2072 |
} |
| 2056 | 2073 |
|
| 2057 | 2074 |
/// \brief Clear the keys from the map and the inverse map. |
| 2058 | 2075 |
/// |
| 2059 | 2076 |
/// Clear the keys from the map and the inverse map. It is called by the |
| 2060 | 2077 |
/// \c AlterationNotifier. |
| 2061 | 2078 |
virtual void clear() {
|
| 2062 | 2079 |
_inv_map.clear(); |
| 2063 | 2080 |
Map::clear(); |
| 2064 | 2081 |
} |
| 2065 | 2082 |
|
| 2066 | 2083 |
public: |
| 2067 | 2084 |
|
| 2068 | 2085 |
/// \brief The inverse map type. |
| 2069 | 2086 |
/// |
| 2070 | 2087 |
/// The inverse of this map. The subscript operator of the map |
| 2071 | 2088 |
/// gives back the item that was last assigned to the value. |
| 2072 | 2089 |
class InverseMap {
|
| 2073 | 2090 |
public: |
| 2074 | 2091 |
/// \brief Constructor |
| 2075 | 2092 |
/// |
| 2076 | 2093 |
/// Constructor of the InverseMap. |
| 2077 | 2094 |
explicit InverseMap(const CrossRefMap& inverted) |
| 2078 | 2095 |
: _inverted(inverted) {}
|
| 2079 | 2096 |
|
| 2080 | 2097 |
/// The value type of the InverseMap. |
| 2081 | 2098 |
typedef typename CrossRefMap::Key Value; |
| 2082 | 2099 |
/// The key type of the InverseMap. |
| 2083 | 2100 |
typedef typename CrossRefMap::Value Key; |
| 2084 | 2101 |
|
| 2085 | 2102 |
/// \brief Subscript operator. |
| 2086 | 2103 |
/// |
| 2087 |
/// Subscript operator. It gives back the item |
|
| 2088 |
/// that was last assigned to the given value. |
|
| 2104 |
/// Subscript operator. It gives back an item |
|
| 2105 |
/// that is assigned to the given value or \c INVALID |
|
| 2106 |
/// if no such item exists. |
|
| 2089 | 2107 |
Value operator[](const Key& key) const {
|
| 2090 | 2108 |
return _inverted(key); |
| 2091 | 2109 |
} |
| 2092 | 2110 |
|
| 2093 | 2111 |
private: |
| 2094 | 2112 |
const CrossRefMap& _inverted; |
| 2095 | 2113 |
}; |
| 2096 | 2114 |
|
| 2097 | 2115 |
/// \brief It gives back the read-only inverse map. |
| 2098 | 2116 |
/// |
| 2099 | 2117 |
/// It gives back the read-only inverse map. |
| 2100 | 2118 |
InverseMap inverse() const {
|
| 2101 | 2119 |
return InverseMap(*this); |
| 2102 | 2120 |
} |
| 2103 | 2121 |
|
| 2104 | 2122 |
}; |
| 2105 | 2123 |
|
| 2106 | 2124 |
/// \brief Provides continuous and unique ID for the |
| 2107 | 2125 |
/// items of a graph. |
| 2108 | 2126 |
/// |
| 2109 | 2127 |
/// RangeIdMap provides a unique and continuous |
| 2110 | 2128 |
/// ID for each item of a given type (\c Node, \c Arc or |
| 2111 | 2129 |
/// \c Edge) in a graph. This id is |
| 2112 | 2130 |
/// - \b unique: different items get different ids, |
| 2113 | 2131 |
/// - \b continuous: the range of the ids is the set of integers |
| 2114 | 2132 |
/// between 0 and \c n-1, where \c n is the number of the items of |
| 2115 | 2133 |
/// this type (\c Node, \c Arc or \c Edge). |
| 2116 | 2134 |
/// - So, the ids can change when deleting an item of the same type. |
| 2117 | 2135 |
/// |
| 2118 | 2136 |
/// Thus this id is not (necessarily) the same as what can get using |
| 2119 | 2137 |
/// the \c id() function of the graph or \ref IdMap. |
| 2120 | 2138 |
/// This map can be inverted with its member class \c InverseMap, |
| 2121 | 2139 |
/// or with the \c operator() member. |
| 2122 | 2140 |
/// |
| 2123 | 2141 |
/// \tparam GR The graph type. |
| 2124 | 2142 |
/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or |
| 2125 | 2143 |
/// \c GR::Edge). |
| 2126 | 2144 |
/// |
| 2127 | 2145 |
/// \see IdMap |
| 2128 | 2146 |
template <typename GR, typename K> |
| 2129 | 2147 |
class RangeIdMap |
| 2130 | 2148 |
: protected ItemSetTraits<GR, K>::template Map<int>::Type {
|
| 2131 | 2149 |
|
| 2132 | 2150 |
typedef typename ItemSetTraits<GR, K>::template Map<int>::Type Map; |
| 2133 | 2151 |
|
| 2134 | 2152 |
public: |
| 2135 | 2153 |
/// The graph type of RangeIdMap. |
| 2136 | 2154 |
typedef GR Graph; |
| 2137 | 2155 |
typedef GR Digraph; |
| 2138 | 2156 |
/// The key type of RangeIdMap (\c Node, \c Arc or \c Edge). |
| 2139 | 2157 |
typedef K Item; |
| 2140 | 2158 |
/// The key type of RangeIdMap (\c Node, \c Arc or \c Edge). |
| 2141 | 2159 |
typedef K Key; |
| 2142 | 2160 |
/// The value type of RangeIdMap. |
| 2143 | 2161 |
typedef int Value; |
| 2144 | 2162 |
|
| 2145 | 2163 |
/// \brief Constructor. |
| 2146 | 2164 |
/// |
| 2147 | 2165 |
/// Constructor. |
| 2148 | 2166 |
explicit RangeIdMap(const Graph& gr) : Map(gr) {
|
| 2149 | 2167 |
Item it; |
| 2150 | 2168 |
const typename Map::Notifier* nf = Map::notifier(); |
| 2151 | 2169 |
for (nf->first(it); it != INVALID; nf->next(it)) {
|
| 2152 | 2170 |
Map::set(it, _inv_map.size()); |
| 2153 | 2171 |
_inv_map.push_back(it); |
| 2154 | 2172 |
} |
| 2155 | 2173 |
} |
| 2156 | 2174 |
|
| 2157 | 2175 |
protected: |
| 2158 | 2176 |
|
| 2159 | 2177 |
/// \brief Adds a new key to the map. |
| 2160 | 2178 |
/// |
| 2161 | 2179 |
/// Add a new key to the map. It is called by the |
| 2162 | 2180 |
/// \c AlterationNotifier. |
| 2163 | 2181 |
virtual void add(const Item& item) {
|
| 2164 | 2182 |
Map::add(item); |
| 2165 | 2183 |
Map::set(item, _inv_map.size()); |
| 2166 | 2184 |
_inv_map.push_back(item); |
| 2167 | 2185 |
} |
| 2168 | 2186 |
|
| 2169 | 2187 |
/// \brief Add more new keys to the map. |
| 2170 | 2188 |
/// |
| 2171 | 2189 |
/// Add more new keys to the map. It is called by the |
| 2172 | 2190 |
/// \c AlterationNotifier. |
| 2173 | 2191 |
virtual void add(const std::vector<Item>& items) {
|
| 2174 | 2192 |
Map::add(items); |
| 2175 | 2193 |
for (int i = 0; i < int(items.size()); ++i) {
|
| 2176 | 2194 |
Map::set(items[i], _inv_map.size()); |
| 2177 | 2195 |
_inv_map.push_back(items[i]); |
| 2178 | 2196 |
} |
| 2179 | 2197 |
} |
| 2180 | 2198 |
|
| 2181 | 2199 |
/// \brief Erase the key from the map. |
| 2182 | 2200 |
/// |
| 2183 | 2201 |
/// Erase the key from the map. It is called by the |
| 2184 | 2202 |
/// \c AlterationNotifier. |
| 2185 | 2203 |
virtual void erase(const Item& item) {
|
| 2186 | 2204 |
Map::set(_inv_map.back(), Map::operator[](item)); |
| 2187 | 2205 |
_inv_map[Map::operator[](item)] = _inv_map.back(); |
| 2188 | 2206 |
_inv_map.pop_back(); |
| 2189 | 2207 |
Map::erase(item); |
| 2190 | 2208 |
} |
| 2191 | 2209 |
|
| 2192 | 2210 |
/// \brief Erase more keys from the map. |
| 2193 | 2211 |
/// |
| 2194 | 2212 |
/// Erase more keys from the map. It is called by the |
| 2195 | 2213 |
/// \c AlterationNotifier. |
| 2196 | 2214 |
virtual void erase(const std::vector<Item>& items) {
|
| 2197 | 2215 |
for (int i = 0; i < int(items.size()); ++i) {
|
| 2198 | 2216 |
Map::set(_inv_map.back(), Map::operator[](items[i])); |
| 2199 | 2217 |
_inv_map[Map::operator[](items[i])] = _inv_map.back(); |
| 2200 | 2218 |
_inv_map.pop_back(); |
| 2201 | 2219 |
} |
| 2202 | 2220 |
Map::erase(items); |
| 2203 | 2221 |
} |
| 2204 | 2222 |
|
| 2205 | 2223 |
/// \brief Build the unique map. |
| 2206 | 2224 |
/// |
| 2207 | 2225 |
/// Build the unique map. It is called by the |
| 2208 | 2226 |
/// \c AlterationNotifier. |
| 2209 | 2227 |
virtual void build() {
|
| 2210 | 2228 |
Map::build(); |
| 2211 | 2229 |
Item it; |
| 2212 | 2230 |
const typename Map::Notifier* nf = Map::notifier(); |
| 2213 | 2231 |
for (nf->first(it); it != INVALID; nf->next(it)) {
|
| 2214 | 2232 |
Map::set(it, _inv_map.size()); |
| 2215 | 2233 |
_inv_map.push_back(it); |
| 2216 | 2234 |
} |
| 2217 | 2235 |
} |
| 2218 | 2236 |
|
| 2219 | 2237 |
/// \brief Clear the keys from the map. |
| 2220 | 2238 |
/// |
| 2221 | 2239 |
/// Clear the keys from the map. It is called by the |
| 2222 | 2240 |
/// \c AlterationNotifier. |
| 2223 | 2241 |
virtual void clear() {
|
| 2224 | 2242 |
_inv_map.clear(); |
| 2225 | 2243 |
Map::clear(); |
| 2226 | 2244 |
} |
| 2227 | 2245 |
|
| 2228 | 2246 |
public: |
| 2229 | 2247 |
|
| 2230 | 2248 |
/// \brief Returns the maximal value plus one. |
| 2231 | 2249 |
/// |
| 2232 | 2250 |
/// Returns the maximal value plus one in the map. |
| 2233 | 2251 |
unsigned int size() const {
|
| 2234 | 2252 |
return _inv_map.size(); |
| 2235 | 2253 |
} |
| 2236 | 2254 |
|
| 2237 | 2255 |
/// \brief Swaps the position of the two items in the map. |
| 2238 | 2256 |
/// |
| 2239 | 2257 |
/// Swaps the position of the two items in the map. |
| 2240 | 2258 |
void swap(const Item& p, const Item& q) {
|
| 2241 | 2259 |
int pi = Map::operator[](p); |
| 2242 | 2260 |
int qi = Map::operator[](q); |
| 2243 | 2261 |
Map::set(p, qi); |
| 2244 | 2262 |
_inv_map[qi] = p; |
| 2245 | 2263 |
Map::set(q, pi); |
| 2246 | 2264 |
_inv_map[pi] = q; |
| 2247 | 2265 |
} |
| 2248 | 2266 |
|
| 2249 | 2267 |
/// \brief Gives back the \e RangeId of the item |
| 2250 | 2268 |
/// |
| 2251 | 2269 |
/// Gives back the \e RangeId of the item. |
| 2252 | 2270 |
int operator[](const Item& item) const {
|
| 2253 | 2271 |
return Map::operator[](item); |
| 2254 | 2272 |
} |
| 2255 | 2273 |
|
| 2256 | 2274 |
/// \brief Gives back the item belonging to a \e RangeId |
| 2257 |
/// |
|
| 2275 |
/// |
|
| 2258 | 2276 |
/// Gives back the item belonging to a \e RangeId. |
| 2259 | 2277 |
Item operator()(int id) const {
|
| 2260 | 2278 |
return _inv_map[id]; |
| 2261 | 2279 |
} |
| 2262 | 2280 |
|
| 2263 | 2281 |
private: |
| 2264 | 2282 |
|
| 2265 | 2283 |
typedef std::vector<Item> Container; |
| 2266 | 2284 |
Container _inv_map; |
| 2267 | 2285 |
|
| 2268 | 2286 |
public: |
| 2269 | 2287 |
|
| 2270 | 2288 |
/// \brief The inverse map type of RangeIdMap. |
| 2271 | 2289 |
/// |
| 2272 | 2290 |
/// The inverse map type of RangeIdMap. |
| 2273 | 2291 |
class InverseMap {
|
| 2274 | 2292 |
public: |
| 2275 | 2293 |
/// \brief Constructor |
| 2276 | 2294 |
/// |
| 2277 | 2295 |
/// Constructor of the InverseMap. |
| 2278 | 2296 |
explicit InverseMap(const RangeIdMap& inverted) |
| 2279 | 2297 |
: _inverted(inverted) {}
|
| 2280 | 2298 |
|
| 2281 | 2299 |
|
| 2282 | 2300 |
/// The value type of the InverseMap. |
| 2283 | 2301 |
typedef typename RangeIdMap::Key Value; |
| 2284 | 2302 |
/// The key type of the InverseMap. |
| 2285 | 2303 |
typedef typename RangeIdMap::Value Key; |
| 2286 | 2304 |
|
| 2287 | 2305 |
/// \brief Subscript operator. |
| 2288 | 2306 |
/// |
| 2289 | 2307 |
/// Subscript operator. It gives back the item |
| 2290 | 2308 |
/// that the descriptor currently belongs to. |
| 2291 | 2309 |
Value operator[](const Key& key) const {
|
| 2292 | 2310 |
return _inverted(key); |
| 2293 | 2311 |
} |
| 2294 | 2312 |
|
| 2295 | 2313 |
/// \brief Size of the map. |
| 2296 | 2314 |
/// |
| 2297 | 2315 |
/// Returns the size of the map. |
| 2298 | 2316 |
unsigned int size() const {
|
| 2299 | 2317 |
return _inverted.size(); |
| 2300 | 2318 |
} |
| 2301 | 2319 |
|
| 2302 | 2320 |
private: |
| 2303 | 2321 |
const RangeIdMap& _inverted; |
| 2304 | 2322 |
}; |
| 2305 | 2323 |
|
| 2306 | 2324 |
/// \brief Gives back the inverse of the map. |
| 2307 | 2325 |
/// |
| 2308 | 2326 |
/// Gives back the inverse of the map. |
| 2309 | 2327 |
const InverseMap inverse() const {
|
| 2310 | 2328 |
return InverseMap(*this); |
| 2311 | 2329 |
} |
| 2312 | 2330 |
}; |
| 2313 | 2331 |
|
| 2332 |
/// \brief Dynamic iterable \c bool map. |
|
| 2333 |
/// |
|
| 2334 |
/// This class provides a special graph map type which can store a |
|
| 2335 |
/// \c bool value for graph items (\c Node, \c Arc or \c Edge). |
|
| 2336 |
/// For both \c true and \c false values it is possible to iterate on |
|
| 2337 |
/// the keys. |
|
| 2338 |
/// |
|
| 2339 |
/// This type is a reference map, so it can be modified with the |
|
| 2340 |
/// subscript operator. |
|
| 2341 |
/// |
|
| 2342 |
/// \tparam GR The graph type. |
|
| 2343 |
/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or |
|
| 2344 |
/// \c GR::Edge). |
|
| 2345 |
/// |
|
| 2346 |
/// \see IterableIntMap, IterableValueMap |
|
| 2347 |
/// \see CrossRefMap |
|
| 2348 |
template <typename GR, typename K> |
|
| 2349 |
class IterableBoolMap |
|
| 2350 |
: protected ItemSetTraits<GR, K>::template Map<int>::Type {
|
|
| 2351 |
private: |
|
| 2352 |
typedef GR Graph; |
|
| 2353 |
|
|
| 2354 |
typedef typename ItemSetTraits<GR, K>::ItemIt KeyIt; |
|
| 2355 |
typedef typename ItemSetTraits<GR, K>::template Map<int>::Type Parent; |
|
| 2356 |
|
|
| 2357 |
std::vector<K> _array; |
|
| 2358 |
int _sep; |
|
| 2359 |
|
|
| 2360 |
public: |
|
| 2361 |
|
|
| 2362 |
/// Indicates that the map is reference map. |
|
| 2363 |
typedef True ReferenceMapTag; |
|
| 2364 |
|
|
| 2365 |
/// The key type |
|
| 2366 |
typedef K Key; |
|
| 2367 |
/// The value type |
|
| 2368 |
typedef bool Value; |
|
| 2369 |
/// The const reference type. |
|
| 2370 |
typedef const Value& ConstReference; |
|
| 2371 |
|
|
| 2372 |
private: |
|
| 2373 |
|
|
| 2374 |
int position(const Key& key) const {
|
|
| 2375 |
return Parent::operator[](key); |
|
| 2376 |
} |
|
| 2377 |
|
|
| 2378 |
public: |
|
| 2379 |
|
|
| 2380 |
/// \brief Reference to the value of the map. |
|
| 2381 |
/// |
|
| 2382 |
/// This class is similar to the \c bool type. It can be converted to |
|
| 2383 |
/// \c bool and it provides the same operators. |
|
| 2384 |
class Reference {
|
|
| 2385 |
friend class IterableBoolMap; |
|
| 2386 |
private: |
|
| 2387 |
Reference(IterableBoolMap& map, const Key& key) |
|
| 2388 |
: _key(key), _map(map) {}
|
|
| 2389 |
public: |
|
| 2390 |
|
|
| 2391 |
Reference& operator=(const Reference& value) {
|
|
| 2392 |
_map.set(_key, static_cast<bool>(value)); |
|
| 2393 |
return *this; |
|
| 2394 |
} |
|
| 2395 |
|
|
| 2396 |
operator bool() const {
|
|
| 2397 |
return static_cast<const IterableBoolMap&>(_map)[_key]; |
|
| 2398 |
} |
|
| 2399 |
|
|
| 2400 |
Reference& operator=(bool value) {
|
|
| 2401 |
_map.set(_key, value); |
|
| 2402 |
return *this; |
|
| 2403 |
} |
|
| 2404 |
Reference& operator&=(bool value) {
|
|
| 2405 |
_map.set(_key, _map[_key] & value); |
|
| 2406 |
return *this; |
|
| 2407 |
} |
|
| 2408 |
Reference& operator|=(bool value) {
|
|
| 2409 |
_map.set(_key, _map[_key] | value); |
|
| 2410 |
return *this; |
|
| 2411 |
} |
|
| 2412 |
Reference& operator^=(bool value) {
|
|
| 2413 |
_map.set(_key, _map[_key] ^ value); |
|
| 2414 |
return *this; |
|
| 2415 |
} |
|
| 2416 |
private: |
|
| 2417 |
Key _key; |
|
| 2418 |
IterableBoolMap& _map; |
|
| 2419 |
}; |
|
| 2420 |
|
|
| 2421 |
/// \brief Constructor of the map with a default value. |
|
| 2422 |
/// |
|
| 2423 |
/// Constructor of the map with a default value. |
|
| 2424 |
explicit IterableBoolMap(const Graph& graph, bool def = false) |
|
| 2425 |
: Parent(graph) {
|
|
| 2426 |
typename Parent::Notifier* nf = Parent::notifier(); |
|
| 2427 |
Key it; |
|
| 2428 |
for (nf->first(it); it != INVALID; nf->next(it)) {
|
|
| 2429 |
Parent::set(it, _array.size()); |
|
| 2430 |
_array.push_back(it); |
|
| 2431 |
} |
|
| 2432 |
_sep = (def ? _array.size() : 0); |
|
| 2433 |
} |
|
| 2434 |
|
|
| 2435 |
/// \brief Const subscript operator of the map. |
|
| 2436 |
/// |
|
| 2437 |
/// Const subscript operator of the map. |
|
| 2438 |
bool operator[](const Key& key) const {
|
|
| 2439 |
return position(key) < _sep; |
|
| 2440 |
} |
|
| 2441 |
|
|
| 2442 |
/// \brief Subscript operator of the map. |
|
| 2443 |
/// |
|
| 2444 |
/// Subscript operator of the map. |
|
| 2445 |
Reference operator[](const Key& key) {
|
|
| 2446 |
return Reference(*this, key); |
|
| 2447 |
} |
|
| 2448 |
|
|
| 2449 |
/// \brief Set operation of the map. |
|
| 2450 |
/// |
|
| 2451 |
/// Set operation of the map. |
|
| 2452 |
void set(const Key& key, bool value) {
|
|
| 2453 |
int pos = position(key); |
|
| 2454 |
if (value) {
|
|
| 2455 |
if (pos < _sep) return; |
|
| 2456 |
Key tmp = _array[_sep]; |
|
| 2457 |
_array[_sep] = key; |
|
| 2458 |
Parent::set(key, _sep); |
|
| 2459 |
_array[pos] = tmp; |
|
| 2460 |
Parent::set(tmp, pos); |
|
| 2461 |
++_sep; |
|
| 2462 |
} else {
|
|
| 2463 |
if (pos >= _sep) return; |
|
| 2464 |
--_sep; |
|
| 2465 |
Key tmp = _array[_sep]; |
|
| 2466 |
_array[_sep] = key; |
|
| 2467 |
Parent::set(key, _sep); |
|
| 2468 |
_array[pos] = tmp; |
|
| 2469 |
Parent::set(tmp, pos); |
|
| 2470 |
} |
|
| 2471 |
} |
|
| 2472 |
|
|
| 2473 |
/// \brief Set all items. |
|
| 2474 |
/// |
|
| 2475 |
/// Set all items in the map. |
|
| 2476 |
/// \note Constant time operation. |
|
| 2477 |
void setAll(bool value) {
|
|
| 2478 |
_sep = (value ? _array.size() : 0); |
|
| 2479 |
} |
|
| 2480 |
|
|
| 2481 |
/// \brief Returns the number of the keys mapped to \c true. |
|
| 2482 |
/// |
|
| 2483 |
/// Returns the number of the keys mapped to \c true. |
|
| 2484 |
int trueNum() const {
|
|
| 2485 |
return _sep; |
|
| 2486 |
} |
|
| 2487 |
|
|
| 2488 |
/// \brief Returns the number of the keys mapped to \c false. |
|
| 2489 |
/// |
|
| 2490 |
/// Returns the number of the keys mapped to \c false. |
|
| 2491 |
int falseNum() const {
|
|
| 2492 |
return _array.size() - _sep; |
|
| 2493 |
} |
|
| 2494 |
|
|
| 2495 |
/// \brief Iterator for the keys mapped to \c true. |
|
| 2496 |
/// |
|
| 2497 |
/// Iterator for the keys mapped to \c true. It works |
|
| 2498 |
/// like a graph item iterator, it can be converted to |
|
| 2499 |
/// the key type of the map, incremented with \c ++ operator, and |
|
| 2500 |
/// if the iterator leaves the last valid key, it will be equal to |
|
| 2501 |
/// \c INVALID. |
|
| 2502 |
class TrueIt : public Key {
|
|
| 2503 |
public: |
|
| 2504 |
typedef Key Parent; |
|
| 2505 |
|
|
| 2506 |
/// \brief Creates an iterator. |
|
| 2507 |
/// |
|
| 2508 |
/// Creates an iterator. It iterates on the |
|
| 2509 |
/// keys mapped to \c true. |
|
| 2510 |
/// \param map The IterableBoolMap. |
|
| 2511 |
explicit TrueIt(const IterableBoolMap& map) |
|
| 2512 |
: Parent(map._sep > 0 ? map._array[map._sep - 1] : INVALID), |
|
| 2513 |
_map(&map) {}
|
|
| 2514 |
|
|
| 2515 |
/// \brief Invalid constructor \& conversion. |
|
| 2516 |
/// |
|
| 2517 |
/// This constructor initializes the iterator to be invalid. |
|
| 2518 |
/// \sa Invalid for more details. |
|
| 2519 |
TrueIt(Invalid) : Parent(INVALID), _map(0) {}
|
|
| 2520 |
|
|
| 2521 |
/// \brief Increment operator. |
|
| 2522 |
/// |
|
| 2523 |
/// Increment operator. |
|
| 2524 |
TrueIt& operator++() {
|
|
| 2525 |
int pos = _map->position(*this); |
|
| 2526 |
Parent::operator=(pos > 0 ? _map->_array[pos - 1] : INVALID); |
|
| 2527 |
return *this; |
|
| 2528 |
} |
|
| 2529 |
|
|
| 2530 |
private: |
|
| 2531 |
const IterableBoolMap* _map; |
|
| 2532 |
}; |
|
| 2533 |
|
|
| 2534 |
/// \brief Iterator for the keys mapped to \c false. |
|
| 2535 |
/// |
|
| 2536 |
/// Iterator for the keys mapped to \c false. It works |
|
| 2537 |
/// like a graph item iterator, it can be converted to |
|
| 2538 |
/// the key type of the map, incremented with \c ++ operator, and |
|
| 2539 |
/// if the iterator leaves the last valid key, it will be equal to |
|
| 2540 |
/// \c INVALID. |
|
| 2541 |
class FalseIt : public Key {
|
|
| 2542 |
public: |
|
| 2543 |
typedef Key Parent; |
|
| 2544 |
|
|
| 2545 |
/// \brief Creates an iterator. |
|
| 2546 |
/// |
|
| 2547 |
/// Creates an iterator. It iterates on the |
|
| 2548 |
/// keys mapped to \c false. |
|
| 2549 |
/// \param map The IterableBoolMap. |
|
| 2550 |
explicit FalseIt(const IterableBoolMap& map) |
|
| 2551 |
: Parent(map._sep < int(map._array.size()) ? |
|
| 2552 |
map._array.back() : INVALID), _map(&map) {}
|
|
| 2553 |
|
|
| 2554 |
/// \brief Invalid constructor \& conversion. |
|
| 2555 |
/// |
|
| 2556 |
/// This constructor initializes the iterator to be invalid. |
|
| 2557 |
/// \sa Invalid for more details. |
|
| 2558 |
FalseIt(Invalid) : Parent(INVALID), _map(0) {}
|
|
| 2559 |
|
|
| 2560 |
/// \brief Increment operator. |
|
| 2561 |
/// |
|
| 2562 |
/// Increment operator. |
|
| 2563 |
FalseIt& operator++() {
|
|
| 2564 |
int pos = _map->position(*this); |
|
| 2565 |
Parent::operator=(pos > _map->_sep ? _map->_array[pos - 1] : INVALID); |
|
| 2566 |
return *this; |
|
| 2567 |
} |
|
| 2568 |
|
|
| 2569 |
private: |
|
| 2570 |
const IterableBoolMap* _map; |
|
| 2571 |
}; |
|
| 2572 |
|
|
| 2573 |
/// \brief Iterator for the keys mapped to a given value. |
|
| 2574 |
/// |
|
| 2575 |
/// Iterator for the keys mapped to a given value. It works |
|
| 2576 |
/// like a graph item iterator, it can be converted to |
|
| 2577 |
/// the key type of the map, incremented with \c ++ operator, and |
|
| 2578 |
/// if the iterator leaves the last valid key, it will be equal to |
|
| 2579 |
/// \c INVALID. |
|
| 2580 |
class ItemIt : public Key {
|
|
| 2581 |
public: |
|
| 2582 |
typedef Key Parent; |
|
| 2583 |
|
|
| 2584 |
/// \brief Creates an iterator with a value. |
|
| 2585 |
/// |
|
| 2586 |
/// Creates an iterator with a value. It iterates on the |
|
| 2587 |
/// keys mapped to the given value. |
|
| 2588 |
/// \param map The IterableBoolMap. |
|
| 2589 |
/// \param value The value. |
|
| 2590 |
ItemIt(const IterableBoolMap& map, bool value) |
|
| 2591 |
: Parent(value ? |
|
| 2592 |
(map._sep > 0 ? |
|
| 2593 |
map._array[map._sep - 1] : INVALID) : |
|
| 2594 |
(map._sep < int(map._array.size()) ? |
|
| 2595 |
map._array.back() : INVALID)), _map(&map) {}
|
|
| 2596 |
|
|
| 2597 |
/// \brief Invalid constructor \& conversion. |
|
| 2598 |
/// |
|
| 2599 |
/// This constructor initializes the iterator to be invalid. |
|
| 2600 |
/// \sa Invalid for more details. |
|
| 2601 |
ItemIt(Invalid) : Parent(INVALID), _map(0) {}
|
|
| 2602 |
|
|
| 2603 |
/// \brief Increment operator. |
|
| 2604 |
/// |
|
| 2605 |
/// Increment operator. |
|
| 2606 |
ItemIt& operator++() {
|
|
| 2607 |
int pos = _map->position(*this); |
|
| 2608 |
int _sep = pos >= _map->_sep ? _map->_sep : 0; |
|
| 2609 |
Parent::operator=(pos > _sep ? _map->_array[pos - 1] : INVALID); |
|
| 2610 |
return *this; |
|
| 2611 |
} |
|
| 2612 |
|
|
| 2613 |
private: |
|
| 2614 |
const IterableBoolMap* _map; |
|
| 2615 |
}; |
|
| 2616 |
|
|
| 2617 |
protected: |
|
| 2618 |
|
|
| 2619 |
virtual void add(const Key& key) {
|
|
| 2620 |
Parent::add(key); |
|
| 2621 |
Parent::set(key, _array.size()); |
|
| 2622 |
_array.push_back(key); |
|
| 2623 |
} |
|
| 2624 |
|
|
| 2625 |
virtual void add(const std::vector<Key>& keys) {
|
|
| 2626 |
Parent::add(keys); |
|
| 2627 |
for (int i = 0; i < int(keys.size()); ++i) {
|
|
| 2628 |
Parent::set(keys[i], _array.size()); |
|
| 2629 |
_array.push_back(keys[i]); |
|
| 2630 |
} |
|
| 2631 |
} |
|
| 2632 |
|
|
| 2633 |
virtual void erase(const Key& key) {
|
|
| 2634 |
int pos = position(key); |
|
| 2635 |
if (pos < _sep) {
|
|
| 2636 |
--_sep; |
|
| 2637 |
Parent::set(_array[_sep], pos); |
|
| 2638 |
_array[pos] = _array[_sep]; |
|
| 2639 |
Parent::set(_array.back(), _sep); |
|
| 2640 |
_array[_sep] = _array.back(); |
|
| 2641 |
_array.pop_back(); |
|
| 2642 |
} else {
|
|
| 2643 |
Parent::set(_array.back(), pos); |
|
| 2644 |
_array[pos] = _array.back(); |
|
| 2645 |
_array.pop_back(); |
|
| 2646 |
} |
|
| 2647 |
Parent::erase(key); |
|
| 2648 |
} |
|
| 2649 |
|
|
| 2650 |
virtual void erase(const std::vector<Key>& keys) {
|
|
| 2651 |
for (int i = 0; i < int(keys.size()); ++i) {
|
|
| 2652 |
int pos = position(keys[i]); |
|
| 2653 |
if (pos < _sep) {
|
|
| 2654 |
--_sep; |
|
| 2655 |
Parent::set(_array[_sep], pos); |
|
| 2656 |
_array[pos] = _array[_sep]; |
|
| 2657 |
Parent::set(_array.back(), _sep); |
|
| 2658 |
_array[_sep] = _array.back(); |
|
| 2659 |
_array.pop_back(); |
|
| 2660 |
} else {
|
|
| 2661 |
Parent::set(_array.back(), pos); |
|
| 2662 |
_array[pos] = _array.back(); |
|
| 2663 |
_array.pop_back(); |
|
| 2664 |
} |
|
| 2665 |
} |
|
| 2666 |
Parent::erase(keys); |
|
| 2667 |
} |
|
| 2668 |
|
|
| 2669 |
virtual void build() {
|
|
| 2670 |
Parent::build(); |
|
| 2671 |
typename Parent::Notifier* nf = Parent::notifier(); |
|
| 2672 |
Key it; |
|
| 2673 |
for (nf->first(it); it != INVALID; nf->next(it)) {
|
|
| 2674 |
Parent::set(it, _array.size()); |
|
| 2675 |
_array.push_back(it); |
|
| 2676 |
} |
|
| 2677 |
_sep = 0; |
|
| 2678 |
} |
|
| 2679 |
|
|
| 2680 |
virtual void clear() {
|
|
| 2681 |
_array.clear(); |
|
| 2682 |
_sep = 0; |
|
| 2683 |
Parent::clear(); |
|
| 2684 |
} |
|
| 2685 |
|
|
| 2686 |
}; |
|
| 2687 |
|
|
| 2688 |
|
|
| 2689 |
namespace _maps_bits {
|
|
| 2690 |
template <typename Item> |
|
| 2691 |
struct IterableIntMapNode {
|
|
| 2692 |
IterableIntMapNode() : value(-1) {}
|
|
| 2693 |
IterableIntMapNode(int _value) : value(_value) {}
|
|
| 2694 |
Item prev, next; |
|
| 2695 |
int value; |
|
| 2696 |
}; |
|
| 2697 |
} |
|
| 2698 |
|
|
| 2699 |
/// \brief Dynamic iterable integer map. |
|
| 2700 |
/// |
|
| 2701 |
/// This class provides a special graph map type which can store an |
|
| 2702 |
/// integer value for graph items (\c Node, \c Arc or \c Edge). |
|
| 2703 |
/// For each non-negative value it is possible to iterate on the keys |
|
| 2704 |
/// mapped to the value. |
|
| 2705 |
/// |
|
| 2706 |
/// This type is a reference map, so it can be modified with the |
|
| 2707 |
/// subscript operator. |
|
| 2708 |
/// |
|
| 2709 |
/// \note The size of the data structure depends on the largest |
|
| 2710 |
/// value in the map. |
|
| 2711 |
/// |
|
| 2712 |
/// \tparam GR The graph type. |
|
| 2713 |
/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or |
|
| 2714 |
/// \c GR::Edge). |
|
| 2715 |
/// |
|
| 2716 |
/// \see IterableBoolMap, IterableValueMap |
|
| 2717 |
/// \see CrossRefMap |
|
| 2718 |
template <typename GR, typename K> |
|
| 2719 |
class IterableIntMap |
|
| 2720 |
: protected ItemSetTraits<GR, K>:: |
|
| 2721 |
template Map<_maps_bits::IterableIntMapNode<K> >::Type {
|
|
| 2722 |
public: |
|
| 2723 |
typedef typename ItemSetTraits<GR, K>:: |
|
| 2724 |
template Map<_maps_bits::IterableIntMapNode<K> >::Type Parent; |
|
| 2725 |
|
|
| 2726 |
/// The key type |
|
| 2727 |
typedef K Key; |
|
| 2728 |
/// The value type |
|
| 2729 |
typedef int Value; |
|
| 2730 |
/// The graph type |
|
| 2731 |
typedef GR Graph; |
|
| 2732 |
|
|
| 2733 |
/// \brief Constructor of the map. |
|
| 2734 |
/// |
|
| 2735 |
/// Constructor of the map. It sets all values to -1. |
|
| 2736 |
explicit IterableIntMap(const Graph& graph) |
|
| 2737 |
: Parent(graph) {}
|
|
| 2738 |
|
|
| 2739 |
/// \brief Constructor of the map with a given value. |
|
| 2740 |
/// |
|
| 2741 |
/// Constructor of the map with a given value. |
|
| 2742 |
explicit IterableIntMap(const Graph& graph, int value) |
|
| 2743 |
: Parent(graph, _maps_bits::IterableIntMapNode<K>(value)) {
|
|
| 2744 |
if (value >= 0) {
|
|
| 2745 |
for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
|
|
| 2746 |
lace(it); |
|
| 2747 |
} |
|
| 2748 |
} |
|
| 2749 |
} |
|
| 2750 |
|
|
| 2751 |
private: |
|
| 2752 |
|
|
| 2753 |
void unlace(const Key& key) {
|
|
| 2754 |
typename Parent::Value& node = Parent::operator[](key); |
|
| 2755 |
if (node.value < 0) return; |
|
| 2756 |
if (node.prev != INVALID) {
|
|
| 2757 |
Parent::operator[](node.prev).next = node.next; |
|
| 2758 |
} else {
|
|
| 2759 |
_first[node.value] = node.next; |
|
| 2760 |
} |
|
| 2761 |
if (node.next != INVALID) {
|
|
| 2762 |
Parent::operator[](node.next).prev = node.prev; |
|
| 2763 |
} |
|
| 2764 |
while (!_first.empty() && _first.back() == INVALID) {
|
|
| 2765 |
_first.pop_back(); |
|
| 2766 |
} |
|
| 2767 |
} |
|
| 2768 |
|
|
| 2769 |
void lace(const Key& key) {
|
|
| 2770 |
typename Parent::Value& node = Parent::operator[](key); |
|
| 2771 |
if (node.value < 0) return; |
|
| 2772 |
if (node.value >= int(_first.size())) {
|
|
| 2773 |
_first.resize(node.value + 1, INVALID); |
|
| 2774 |
} |
|
| 2775 |
node.prev = INVALID; |
|
| 2776 |
node.next = _first[node.value]; |
|
| 2777 |
if (node.next != INVALID) {
|
|
| 2778 |
Parent::operator[](node.next).prev = key; |
|
| 2779 |
} |
|
| 2780 |
_first[node.value] = key; |
|
| 2781 |
} |
|
| 2782 |
|
|
| 2783 |
public: |
|
| 2784 |
|
|
| 2785 |
/// Indicates that the map is reference map. |
|
| 2786 |
typedef True ReferenceMapTag; |
|
| 2787 |
|
|
| 2788 |
/// \brief Reference to the value of the map. |
|
| 2789 |
/// |
|
| 2790 |
/// This class is similar to the \c int type. It can |
|
| 2791 |
/// be converted to \c int and it has the same operators. |
|
| 2792 |
class Reference {
|
|
| 2793 |
friend class IterableIntMap; |
|
| 2794 |
private: |
|
| 2795 |
Reference(IterableIntMap& map, const Key& key) |
|
| 2796 |
: _key(key), _map(map) {}
|
|
| 2797 |
public: |
|
| 2798 |
|
|
| 2799 |
Reference& operator=(const Reference& value) {
|
|
| 2800 |
_map.set(_key, static_cast<const int&>(value)); |
|
| 2801 |
return *this; |
|
| 2802 |
} |
|
| 2803 |
|
|
| 2804 |
operator const int&() const {
|
|
| 2805 |
return static_cast<const IterableIntMap&>(_map)[_key]; |
|
| 2806 |
} |
|
| 2807 |
|
|
| 2808 |
Reference& operator=(int value) {
|
|
| 2809 |
_map.set(_key, value); |
|
| 2810 |
return *this; |
|
| 2811 |
} |
|
| 2812 |
Reference& operator++() {
|
|
| 2813 |
_map.set(_key, _map[_key] + 1); |
|
| 2814 |
return *this; |
|
| 2815 |
} |
|
| 2816 |
int operator++(int) {
|
|
| 2817 |
int value = _map[_key]; |
|
| 2818 |
_map.set(_key, value + 1); |
|
| 2819 |
return value; |
|
| 2820 |
} |
|
| 2821 |
Reference& operator--() {
|
|
| 2822 |
_map.set(_key, _map[_key] - 1); |
|
| 2823 |
return *this; |
|
| 2824 |
} |
|
| 2825 |
int operator--(int) {
|
|
| 2826 |
int value = _map[_key]; |
|
| 2827 |
_map.set(_key, value - 1); |
|
| 2828 |
return value; |
|
| 2829 |
} |
|
| 2830 |
Reference& operator+=(int value) {
|
|
| 2831 |
_map.set(_key, _map[_key] + value); |
|
| 2832 |
return *this; |
|
| 2833 |
} |
|
| 2834 |
Reference& operator-=(int value) {
|
|
| 2835 |
_map.set(_key, _map[_key] - value); |
|
| 2836 |
return *this; |
|
| 2837 |
} |
|
| 2838 |
Reference& operator*=(int value) {
|
|
| 2839 |
_map.set(_key, _map[_key] * value); |
|
| 2840 |
return *this; |
|
| 2841 |
} |
|
| 2842 |
Reference& operator/=(int value) {
|
|
| 2843 |
_map.set(_key, _map[_key] / value); |
|
| 2844 |
return *this; |
|
| 2845 |
} |
|
| 2846 |
Reference& operator%=(int value) {
|
|
| 2847 |
_map.set(_key, _map[_key] % value); |
|
| 2848 |
return *this; |
|
| 2849 |
} |
|
| 2850 |
Reference& operator&=(int value) {
|
|
| 2851 |
_map.set(_key, _map[_key] & value); |
|
| 2852 |
return *this; |
|
| 2853 |
} |
|
| 2854 |
Reference& operator|=(int value) {
|
|
| 2855 |
_map.set(_key, _map[_key] | value); |
|
| 2856 |
return *this; |
|
| 2857 |
} |
|
| 2858 |
Reference& operator^=(int value) {
|
|
| 2859 |
_map.set(_key, _map[_key] ^ value); |
|
| 2860 |
return *this; |
|
| 2861 |
} |
|
| 2862 |
Reference& operator<<=(int value) {
|
|
| 2863 |
_map.set(_key, _map[_key] << value); |
|
| 2864 |
return *this; |
|
| 2865 |
} |
|
| 2866 |
Reference& operator>>=(int value) {
|
|
| 2867 |
_map.set(_key, _map[_key] >> value); |
|
| 2868 |
return *this; |
|
| 2869 |
} |
|
| 2870 |
|
|
| 2871 |
private: |
|
| 2872 |
Key _key; |
|
| 2873 |
IterableIntMap& _map; |
|
| 2874 |
}; |
|
| 2875 |
|
|
| 2876 |
/// The const reference type. |
|
| 2877 |
typedef const Value& ConstReference; |
|
| 2878 |
|
|
| 2879 |
/// \brief Gives back the maximal value plus one. |
|
| 2880 |
/// |
|
| 2881 |
/// Gives back the maximal value plus one. |
|
| 2882 |
int size() const {
|
|
| 2883 |
return _first.size(); |
|
| 2884 |
} |
|
| 2885 |
|
|
| 2886 |
/// \brief Set operation of the map. |
|
| 2887 |
/// |
|
| 2888 |
/// Set operation of the map. |
|
| 2889 |
void set(const Key& key, const Value& value) {
|
|
| 2890 |
unlace(key); |
|
| 2891 |
Parent::operator[](key).value = value; |
|
| 2892 |
lace(key); |
|
| 2893 |
} |
|
| 2894 |
|
|
| 2895 |
/// \brief Const subscript operator of the map. |
|
| 2896 |
/// |
|
| 2897 |
/// Const subscript operator of the map. |
|
| 2898 |
const Value& operator[](const Key& key) const {
|
|
| 2899 |
return Parent::operator[](key).value; |
|
| 2900 |
} |
|
| 2901 |
|
|
| 2902 |
/// \brief Subscript operator of the map. |
|
| 2903 |
/// |
|
| 2904 |
/// Subscript operator of the map. |
|
| 2905 |
Reference operator[](const Key& key) {
|
|
| 2906 |
return Reference(*this, key); |
|
| 2907 |
} |
|
| 2908 |
|
|
| 2909 |
/// \brief Iterator for the keys with the same value. |
|
| 2910 |
/// |
|
| 2911 |
/// Iterator for the keys with the same value. It works |
|
| 2912 |
/// like a graph item iterator, it can be converted to |
|
| 2913 |
/// the item type of the map, incremented with \c ++ operator, and |
|
| 2914 |
/// if the iterator leaves the last valid item, it will be equal to |
|
| 2915 |
/// \c INVALID. |
|
| 2916 |
class ItemIt : public Key {
|
|
| 2917 |
public: |
|
| 2918 |
typedef Key Parent; |
|
| 2919 |
|
|
| 2920 |
/// \brief Invalid constructor \& conversion. |
|
| 2921 |
/// |
|
| 2922 |
/// This constructor initializes the iterator to be invalid. |
|
| 2923 |
/// \sa Invalid for more details. |
|
| 2924 |
ItemIt(Invalid) : Parent(INVALID), _map(0) {}
|
|
| 2925 |
|
|
| 2926 |
/// \brief Creates an iterator with a value. |
|
| 2927 |
/// |
|
| 2928 |
/// Creates an iterator with a value. It iterates on the |
|
| 2929 |
/// keys mapped to the given value. |
|
| 2930 |
/// \param map The IterableIntMap. |
|
| 2931 |
/// \param value The value. |
|
| 2932 |
ItemIt(const IterableIntMap& map, int value) : _map(&map) {
|
|
| 2933 |
if (value < 0 || value >= int(_map->_first.size())) {
|
|
| 2934 |
Parent::operator=(INVALID); |
|
| 2935 |
} else {
|
|
| 2936 |
Parent::operator=(_map->_first[value]); |
|
| 2937 |
} |
|
| 2938 |
} |
|
| 2939 |
|
|
| 2940 |
/// \brief Increment operator. |
|
| 2941 |
/// |
|
| 2942 |
/// Increment operator. |
|
| 2943 |
ItemIt& operator++() {
|
|
| 2944 |
Parent::operator=(_map->IterableIntMap::Parent:: |
|
| 2945 |
operator[](static_cast<Parent&>(*this)).next); |
|
| 2946 |
return *this; |
|
| 2947 |
} |
|
| 2948 |
|
|
| 2949 |
private: |
|
| 2950 |
const IterableIntMap* _map; |
|
| 2951 |
}; |
|
| 2952 |
|
|
| 2953 |
protected: |
|
| 2954 |
|
|
| 2955 |
virtual void erase(const Key& key) {
|
|
| 2956 |
unlace(key); |
|
| 2957 |
Parent::erase(key); |
|
| 2958 |
} |
|
| 2959 |
|
|
| 2960 |
virtual void erase(const std::vector<Key>& keys) {
|
|
| 2961 |
for (int i = 0; i < int(keys.size()); ++i) {
|
|
| 2962 |
unlace(keys[i]); |
|
| 2963 |
} |
|
| 2964 |
Parent::erase(keys); |
|
| 2965 |
} |
|
| 2966 |
|
|
| 2967 |
virtual void clear() {
|
|
| 2968 |
_first.clear(); |
|
| 2969 |
Parent::clear(); |
|
| 2970 |
} |
|
| 2971 |
|
|
| 2972 |
private: |
|
| 2973 |
std::vector<Key> _first; |
|
| 2974 |
}; |
|
| 2975 |
|
|
| 2976 |
namespace _maps_bits {
|
|
| 2977 |
template <typename Item, typename Value> |
|
| 2978 |
struct IterableValueMapNode {
|
|
| 2979 |
IterableValueMapNode(Value _value = Value()) : value(_value) {}
|
|
| 2980 |
Item prev, next; |
|
| 2981 |
Value value; |
|
| 2982 |
}; |
|
| 2983 |
} |
|
| 2984 |
|
|
| 2985 |
/// \brief Dynamic iterable map for comparable values. |
|
| 2986 |
/// |
|
| 2987 |
/// This class provides a special graph map type which can store an |
|
| 2988 |
/// comparable value for graph items (\c Node, \c Arc or \c Edge). |
|
| 2989 |
/// For each value it is possible to iterate on the keys mapped to |
|
| 2990 |
/// the value. |
|
| 2991 |
/// |
|
| 2992 |
/// The map stores for each value a linked list with |
|
| 2993 |
/// the items which mapped to the value, and the values are stored |
|
| 2994 |
/// in balanced binary tree. The values of the map can be accessed |
|
| 2995 |
/// with stl compatible forward iterator. |
|
| 2996 |
/// |
|
| 2997 |
/// This type is not reference map, so it cannot be modified with |
|
| 2998 |
/// the subscript operator. |
|
| 2999 |
/// |
|
| 3000 |
/// \tparam GR The graph type. |
|
| 3001 |
/// \tparam K The key type of the map (\c GR::Node, \c GR::Arc or |
|
| 3002 |
/// \c GR::Edge). |
|
| 3003 |
/// \tparam V The value type of the map. It can be any comparable |
|
| 3004 |
/// value type. |
|
| 3005 |
/// |
|
| 3006 |
/// \see IterableBoolMap, IterableIntMap |
|
| 3007 |
/// \see CrossRefMap |
|
| 3008 |
template <typename GR, typename K, typename V> |
|
| 3009 |
class IterableValueMap |
|
| 3010 |
: protected ItemSetTraits<GR, K>:: |
|
| 3011 |
template Map<_maps_bits::IterableValueMapNode<K, V> >::Type {
|
|
| 3012 |
public: |
|
| 3013 |
typedef typename ItemSetTraits<GR, K>:: |
|
| 3014 |
template Map<_maps_bits::IterableValueMapNode<K, V> >::Type Parent; |
|
| 3015 |
|
|
| 3016 |
/// The key type |
|
| 3017 |
typedef K Key; |
|
| 3018 |
/// The value type |
|
| 3019 |
typedef V Value; |
|
| 3020 |
/// The graph type |
|
| 3021 |
typedef GR Graph; |
|
| 3022 |
|
|
| 3023 |
public: |
|
| 3024 |
|
|
| 3025 |
/// \brief Constructor of the map with a given value. |
|
| 3026 |
/// |
|
| 3027 |
/// Constructor of the map with a given value. |
|
| 3028 |
explicit IterableValueMap(const Graph& graph, |
|
| 3029 |
const Value& value = Value()) |
|
| 3030 |
: Parent(graph, _maps_bits::IterableValueMapNode<K, V>(value)) {
|
|
| 3031 |
for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
|
|
| 3032 |
lace(it); |
|
| 3033 |
} |
|
| 3034 |
} |
|
| 3035 |
|
|
| 3036 |
protected: |
|
| 3037 |
|
|
| 3038 |
void unlace(const Key& key) {
|
|
| 3039 |
typename Parent::Value& node = Parent::operator[](key); |
|
| 3040 |
if (node.prev != INVALID) {
|
|
| 3041 |
Parent::operator[](node.prev).next = node.next; |
|
| 3042 |
} else {
|
|
| 3043 |
if (node.next != INVALID) {
|
|
| 3044 |
_first[node.value] = node.next; |
|
| 3045 |
} else {
|
|
| 3046 |
_first.erase(node.value); |
|
| 3047 |
} |
|
| 3048 |
} |
|
| 3049 |
if (node.next != INVALID) {
|
|
| 3050 |
Parent::operator[](node.next).prev = node.prev; |
|
| 3051 |
} |
|
| 3052 |
} |
|
| 3053 |
|
|
| 3054 |
void lace(const Key& key) {
|
|
| 3055 |
typename Parent::Value& node = Parent::operator[](key); |
|
| 3056 |
typename std::map<Value, Key>::iterator it = _first.find(node.value); |
|
| 3057 |
if (it == _first.end()) {
|
|
| 3058 |
node.prev = node.next = INVALID; |
|
| 3059 |
_first.insert(std::make_pair(node.value, key)); |
|
| 3060 |
} else {
|
|
| 3061 |
node.prev = INVALID; |
|
| 3062 |
node.next = it->second; |
|
| 3063 |
if (node.next != INVALID) {
|
|
| 3064 |
Parent::operator[](node.next).prev = key; |
|
| 3065 |
} |
|
| 3066 |
it->second = key; |
|
| 3067 |
} |
|
| 3068 |
} |
|
| 3069 |
|
|
| 3070 |
public: |
|
| 3071 |
|
|
| 3072 |
/// \brief Forward iterator for values. |
|
| 3073 |
/// |
|
| 3074 |
/// This iterator is an stl compatible forward |
|
| 3075 |
/// iterator on the values of the map. The values can |
|
| 3076 |
/// be accessed in the <tt>[beginValue, endValue)</tt> range. |
|
| 3077 |
class ValueIterator |
|
| 3078 |
: public std::iterator<std::forward_iterator_tag, Value> {
|
|
| 3079 |
friend class IterableValueMap; |
|
| 3080 |
private: |
|
| 3081 |
ValueIterator(typename std::map<Value, Key>::const_iterator _it) |
|
| 3082 |
: it(_it) {}
|
|
| 3083 |
public: |
|
| 3084 |
|
|
| 3085 |
ValueIterator() {}
|
|
| 3086 |
|
|
| 3087 |
ValueIterator& operator++() { ++it; return *this; }
|
|
| 3088 |
ValueIterator operator++(int) {
|
|
| 3089 |
ValueIterator tmp(*this); |
|
| 3090 |
operator++(); |
|
| 3091 |
return tmp; |
|
| 3092 |
} |
|
| 3093 |
|
|
| 3094 |
const Value& operator*() const { return it->first; }
|
|
| 3095 |
const Value* operator->() const { return &(it->first); }
|
|
| 3096 |
|
|
| 3097 |
bool operator==(ValueIterator jt) const { return it == jt.it; }
|
|
| 3098 |
bool operator!=(ValueIterator jt) const { return it != jt.it; }
|
|
| 3099 |
|
|
| 3100 |
private: |
|
| 3101 |
typename std::map<Value, Key>::const_iterator it; |
|
| 3102 |
}; |
|
| 3103 |
|
|
| 3104 |
/// \brief Returns an iterator to the first value. |
|
| 3105 |
/// |
|
| 3106 |
/// Returns an stl compatible iterator to the |
|
| 3107 |
/// first value of the map. The values of the |
|
| 3108 |
/// map can be accessed in the <tt>[beginValue, endValue)</tt> |
|
| 3109 |
/// range. |
|
| 3110 |
ValueIterator beginValue() const {
|
|
| 3111 |
return ValueIterator(_first.begin()); |
|
| 3112 |
} |
|
| 3113 |
|
|
| 3114 |
/// \brief Returns an iterator after the last value. |
|
| 3115 |
/// |
|
| 3116 |
/// Returns an stl compatible iterator after the |
|
| 3117 |
/// last value of the map. The values of the |
|
| 3118 |
/// map can be accessed in the <tt>[beginValue, endValue)</tt> |
|
| 3119 |
/// range. |
|
| 3120 |
ValueIterator endValue() const {
|
|
| 3121 |
return ValueIterator(_first.end()); |
|
| 3122 |
} |
|
| 3123 |
|
|
| 3124 |
/// \brief Set operation of the map. |
|
| 3125 |
/// |
|
| 3126 |
/// Set operation of the map. |
|
| 3127 |
void set(const Key& key, const Value& value) {
|
|
| 3128 |
unlace(key); |
|
| 3129 |
Parent::operator[](key).value = value; |
|
| 3130 |
lace(key); |
|
| 3131 |
} |
|
| 3132 |
|
|
| 3133 |
/// \brief Const subscript operator of the map. |
|
| 3134 |
/// |
|
| 3135 |
/// Const subscript operator of the map. |
|
| 3136 |
const Value& operator[](const Key& key) const {
|
|
| 3137 |
return Parent::operator[](key).value; |
|
| 3138 |
} |
|
| 3139 |
|
|
| 3140 |
/// \brief Iterator for the keys with the same value. |
|
| 3141 |
/// |
|
| 3142 |
/// Iterator for the keys with the same value. It works |
|
| 3143 |
/// like a graph item iterator, it can be converted to |
|
| 3144 |
/// the item type of the map, incremented with \c ++ operator, and |
|
| 3145 |
/// if the iterator leaves the last valid item, it will be equal to |
|
| 3146 |
/// \c INVALID. |
|
| 3147 |
class ItemIt : public Key {
|
|
| 3148 |
public: |
|
| 3149 |
typedef Key Parent; |
|
| 3150 |
|
|
| 3151 |
/// \brief Invalid constructor \& conversion. |
|
| 3152 |
/// |
|
| 3153 |
/// This constructor initializes the iterator to be invalid. |
|
| 3154 |
/// \sa Invalid for more details. |
|
| 3155 |
ItemIt(Invalid) : Parent(INVALID), _map(0) {}
|
|
| 3156 |
|
|
| 3157 |
/// \brief Creates an iterator with a value. |
|
| 3158 |
/// |
|
| 3159 |
/// Creates an iterator with a value. It iterates on the |
|
| 3160 |
/// keys which have the given value. |
|
| 3161 |
/// \param map The IterableValueMap |
|
| 3162 |
/// \param value The value |
|
| 3163 |
ItemIt(const IterableValueMap& map, const Value& value) : _map(&map) {
|
|
| 3164 |
typename std::map<Value, Key>::const_iterator it = |
|
| 3165 |
map._first.find(value); |
|
| 3166 |
if (it == map._first.end()) {
|
|
| 3167 |
Parent::operator=(INVALID); |
|
| 3168 |
} else {
|
|
| 3169 |
Parent::operator=(it->second); |
|
| 3170 |
} |
|
| 3171 |
} |
|
| 3172 |
|
|
| 3173 |
/// \brief Increment operator. |
|
| 3174 |
/// |
|
| 3175 |
/// Increment Operator. |
|
| 3176 |
ItemIt& operator++() {
|
|
| 3177 |
Parent::operator=(_map->IterableValueMap::Parent:: |
|
| 3178 |
operator[](static_cast<Parent&>(*this)).next); |
|
| 3179 |
return *this; |
|
| 3180 |
} |
|
| 3181 |
|
|
| 3182 |
|
|
| 3183 |
private: |
|
| 3184 |
const IterableValueMap* _map; |
|
| 3185 |
}; |
|
| 3186 |
|
|
| 3187 |
protected: |
|
| 3188 |
|
|
| 3189 |
virtual void add(const Key& key) {
|
|
| 3190 |
Parent::add(key); |
|
| 3191 |
unlace(key); |
|
| 3192 |
} |
|
| 3193 |
|
|
| 3194 |
virtual void add(const std::vector<Key>& keys) {
|
|
| 3195 |
Parent::add(keys); |
|
| 3196 |
for (int i = 0; i < int(keys.size()); ++i) {
|
|
| 3197 |
lace(keys[i]); |
|
| 3198 |
} |
|
| 3199 |
} |
|
| 3200 |
|
|
| 3201 |
virtual void erase(const Key& key) {
|
|
| 3202 |
unlace(key); |
|
| 3203 |
Parent::erase(key); |
|
| 3204 |
} |
|
| 3205 |
|
|
| 3206 |
virtual void erase(const std::vector<Key>& keys) {
|
|
| 3207 |
for (int i = 0; i < int(keys.size()); ++i) {
|
|
| 3208 |
unlace(keys[i]); |
|
| 3209 |
} |
|
| 3210 |
Parent::erase(keys); |
|
| 3211 |
} |
|
| 3212 |
|
|
| 3213 |
virtual void build() {
|
|
| 3214 |
Parent::build(); |
|
| 3215 |
for (typename Parent::ItemIt it(*this); it != INVALID; ++it) {
|
|
| 3216 |
lace(it); |
|
| 3217 |
} |
|
| 3218 |
} |
|
| 3219 |
|
|
| 3220 |
virtual void clear() {
|
|
| 3221 |
_first.clear(); |
|
| 3222 |
Parent::clear(); |
|
| 3223 |
} |
|
| 3224 |
|
|
| 3225 |
private: |
|
| 3226 |
std::map<Value, Key> _first; |
|
| 3227 |
}; |
|
| 3228 |
|
|
| 2314 | 3229 |
/// \brief Map of the source nodes of arcs in a digraph. |
| 2315 | 3230 |
/// |
| 2316 | 3231 |
/// SourceMap provides access for the source node of each arc in a digraph, |
| 2317 | 3232 |
/// which is returned by the \c source() function of the digraph. |
| 2318 | 3233 |
/// \tparam GR The digraph type. |
| 2319 | 3234 |
/// \see TargetMap |
| 2320 | 3235 |
template <typename GR> |
| 2321 | 3236 |
class SourceMap {
|
| 2322 | 3237 |
public: |
| 2323 | 3238 |
|
| 2324 | 3239 |
///\e |
| 2325 | 3240 |
typedef typename GR::Arc Key; |
| 2326 | 3241 |
///\e |
| 2327 | 3242 |
typedef typename GR::Node Value; |
| 2328 | 3243 |
|
| 2329 | 3244 |
/// \brief Constructor |
| 2330 | 3245 |
/// |
| 2331 | 3246 |
/// Constructor. |
| 2332 | 3247 |
/// \param digraph The digraph that the map belongs to. |
| 2333 | 3248 |
explicit SourceMap(const GR& digraph) : _graph(digraph) {}
|
| 2334 | 3249 |
|
| 2335 | 3250 |
/// \brief Returns the source node of the given arc. |
| 2336 | 3251 |
/// |
| 2337 | 3252 |
/// Returns the source node of the given arc. |
| 2338 | 3253 |
Value operator[](const Key& arc) const {
|
| 2339 | 3254 |
return _graph.source(arc); |
| 2340 | 3255 |
} |
| 2341 | 3256 |
|
| 2342 | 3257 |
private: |
| 2343 | 3258 |
const GR& _graph; |
| 2344 | 3259 |
}; |
| 2345 | 3260 |
|
| 2346 | 3261 |
/// \brief Returns a \c SourceMap class. |
| 2347 | 3262 |
/// |
| 2348 | 3263 |
/// This function just returns an \c SourceMap class. |
| 2349 | 3264 |
/// \relates SourceMap |
| 2350 | 3265 |
template <typename GR> |
| 2351 | 3266 |
inline SourceMap<GR> sourceMap(const GR& graph) {
|
| 2352 | 3267 |
return SourceMap<GR>(graph); |
| 2353 | 3268 |
} |
| 2354 | 3269 |
|
| 2355 | 3270 |
/// \brief Map of the target nodes of arcs in a digraph. |
| 2356 | 3271 |
/// |
| 2357 | 3272 |
/// TargetMap provides access for the target node of each arc in a digraph, |
| 2358 | 3273 |
/// which is returned by the \c target() function of the digraph. |
| 2359 | 3274 |
/// \tparam GR The digraph type. |
| 2360 | 3275 |
/// \see SourceMap |
| 2361 | 3276 |
template <typename GR> |
| 2362 | 3277 |
class TargetMap {
|
| 2363 | 3278 |
public: |
| 2364 | 3279 |
|
| 2365 | 3280 |
///\e |
| 2366 | 3281 |
typedef typename GR::Arc Key; |
| 2367 | 3282 |
///\e |
| 2368 | 3283 |
typedef typename GR::Node Value; |
| 2369 | 3284 |
|
| 2370 | 3285 |
/// \brief Constructor |
| 2371 | 3286 |
/// |
| 2372 | 3287 |
/// Constructor. |
| 2373 | 3288 |
/// \param digraph The digraph that the map belongs to. |
| 2374 | 3289 |
explicit TargetMap(const GR& digraph) : _graph(digraph) {}
|
| 2375 | 3290 |
|
| 2376 | 3291 |
/// \brief Returns the target node of the given arc. |
| 2377 | 3292 |
/// |
| 2378 | 3293 |
/// Returns the target node of the given arc. |
| 2379 | 3294 |
Value operator[](const Key& e) const {
|
| 2380 | 3295 |
return _graph.target(e); |
| 2381 | 3296 |
} |
| 2382 | 3297 |
|
| 2383 | 3298 |
private: |
| 2384 | 3299 |
const GR& _graph; |
| 2385 | 3300 |
}; |
| 2386 | 3301 |
|
| 2387 | 3302 |
/// \brief Returns a \c TargetMap class. |
| 2388 | 3303 |
/// |
| 2389 | 3304 |
/// This function just returns a \c TargetMap class. |
| 2390 | 3305 |
/// \relates TargetMap |
| 2391 | 3306 |
template <typename GR> |
| 2392 | 3307 |
inline TargetMap<GR> targetMap(const GR& graph) {
|
| 2393 | 3308 |
return TargetMap<GR>(graph); |
| 2394 | 3309 |
} |
| 2395 | 3310 |
|
| 2396 | 3311 |
/// \brief Map of the "forward" directed arc view of edges in a graph. |
| 2397 | 3312 |
/// |
| 2398 | 3313 |
/// ForwardMap provides access for the "forward" directed arc view of |
| 2399 | 3314 |
/// each edge in a graph, which is returned by the \c direct() function |
| 2400 | 3315 |
/// of the graph with \c true parameter. |
| 2401 | 3316 |
/// \tparam GR The graph type. |
| 2402 | 3317 |
/// \see BackwardMap |
| 2403 | 3318 |
template <typename GR> |
| 2404 | 3319 |
class ForwardMap {
|
| 2405 | 3320 |
public: |
| 2406 | 3321 |
|
| 2407 | 3322 |
typedef typename GR::Arc Value; |
| 2408 | 3323 |
typedef typename GR::Edge Key; |
| 2409 | 3324 |
|
| 2410 | 3325 |
/// \brief Constructor |
| 2411 | 3326 |
/// |
| 2412 | 3327 |
/// Constructor. |
| 2413 | 3328 |
/// \param graph The graph that the map belongs to. |
| 2414 | 3329 |
explicit ForwardMap(const GR& graph) : _graph(graph) {}
|
| 2415 | 3330 |
|
| 2416 | 3331 |
/// \brief Returns the "forward" directed arc view of the given edge. |
| 2417 | 3332 |
/// |
| 2418 | 3333 |
/// Returns the "forward" directed arc view of the given edge. |
| 2419 | 3334 |
Value operator[](const Key& key) const {
|
| 2420 | 3335 |
return _graph.direct(key, true); |
| 2421 | 3336 |
} |
| 2422 | 3337 |
|
| 2423 | 3338 |
private: |
| 2424 | 3339 |
const GR& _graph; |
| 2425 | 3340 |
}; |
| 2426 | 3341 |
|
| 2427 | 3342 |
/// \brief Returns a \c ForwardMap class. |
| 2428 | 3343 |
/// |
| 2429 | 3344 |
/// This function just returns an \c ForwardMap class. |
| 2430 | 3345 |
/// \relates ForwardMap |
| 2431 | 3346 |
template <typename GR> |
| 2432 | 3347 |
inline ForwardMap<GR> forwardMap(const GR& graph) {
|
| 2433 | 3348 |
return ForwardMap<GR>(graph); |
| 2434 | 3349 |
} |
| 2435 | 3350 |
|
| 2436 | 3351 |
/// \brief Map of the "backward" directed arc view of edges in a graph. |
| 2437 | 3352 |
/// |
| 2438 | 3353 |
/// BackwardMap provides access for the "backward" directed arc view of |
| 2439 | 3354 |
/// each edge in a graph, which is returned by the \c direct() function |
| 2440 | 3355 |
/// of the graph with \c false parameter. |
| 2441 | 3356 |
/// \tparam GR The graph type. |
| 2442 | 3357 |
/// \see ForwardMap |
| 2443 | 3358 |
template <typename GR> |
| 2444 | 3359 |
class BackwardMap {
|
| 2445 | 3360 |
public: |
| 2446 | 3361 |
|
| 2447 | 3362 |
typedef typename GR::Arc Value; |
| 2448 | 3363 |
typedef typename GR::Edge Key; |
| 2449 | 3364 |
|
| 2450 | 3365 |
/// \brief Constructor |
| 2451 | 3366 |
/// |
| 2452 | 3367 |
/// Constructor. |
| 2453 | 3368 |
/// \param graph The graph that the map belongs to. |
| 2454 | 3369 |
explicit BackwardMap(const GR& graph) : _graph(graph) {}
|
| 2455 | 3370 |
|
| 2456 | 3371 |
/// \brief Returns the "backward" directed arc view of the given edge. |
| 2457 | 3372 |
/// |
| 2458 | 3373 |
/// Returns the "backward" directed arc view of the given edge. |
| 2459 | 3374 |
Value operator[](const Key& key) const {
|
| 2460 | 3375 |
return _graph.direct(key, false); |
| 2461 | 3376 |
} |
| 2462 | 3377 |
|
| 2463 | 3378 |
private: |
| 2464 | 3379 |
const GR& _graph; |
| 2465 | 3380 |
}; |
| 2466 | 3381 |
|
| 2467 | 3382 |
/// \brief Returns a \c BackwardMap class |
| 2468 | 3383 |
|
| 2469 | 3384 |
/// This function just returns a \c BackwardMap class. |
| 2470 | 3385 |
/// \relates BackwardMap |
| 2471 | 3386 |
template <typename GR> |
| 2472 | 3387 |
inline BackwardMap<GR> backwardMap(const GR& graph) {
|
| 2473 | 3388 |
return BackwardMap<GR>(graph); |
| 2474 | 3389 |
} |
| 2475 | 3390 |
|
| 2476 | 3391 |
/// \brief Map of the in-degrees of nodes in a digraph. |
| 2477 | 3392 |
/// |
| 2478 | 3393 |
/// This map returns the in-degree of a node. Once it is constructed, |
| 2479 | 3394 |
/// the degrees are stored in a standard \c NodeMap, so each query is done |
| 2480 | 3395 |
/// in constant time. On the other hand, the values are updated automatically |
| 2481 | 3396 |
/// whenever the digraph changes. |
| 2482 | 3397 |
/// |
| 2483 |
/// \warning Besides \c addNode() and \c addArc(), a digraph structure |
|
| 3398 |
/// \warning Besides \c addNode() and \c addArc(), a digraph structure |
|
| 2484 | 3399 |
/// may provide alternative ways to modify the digraph. |
| 2485 | 3400 |
/// The correct behavior of InDegMap is not guarantied if these additional |
| 2486 | 3401 |
/// features are used. For example the functions |
| 2487 | 3402 |
/// \ref ListDigraph::changeSource() "changeSource()", |
| 2488 | 3403 |
/// \ref ListDigraph::changeTarget() "changeTarget()" and |
| 2489 | 3404 |
/// \ref ListDigraph::reverseArc() "reverseArc()" |
| 2490 | 3405 |
/// of \ref ListDigraph will \e not update the degree values correctly. |
| 2491 | 3406 |
/// |
| 2492 | 3407 |
/// \sa OutDegMap |
| 2493 | 3408 |
template <typename GR> |
| 2494 | 3409 |
class InDegMap |
| 2495 | 3410 |
: protected ItemSetTraits<GR, typename GR::Arc> |
| 2496 | 3411 |
::ItemNotifier::ObserverBase {
|
| 2497 | 3412 |
|
| 2498 | 3413 |
public: |
| 2499 |
|
|
| 3414 |
|
|
| 2500 | 3415 |
/// The graph type of InDegMap |
| 2501 | 3416 |
typedef GR Graph; |
| 2502 | 3417 |
typedef GR Digraph; |
| 2503 | 3418 |
/// The key type |
| 2504 | 3419 |
typedef typename Digraph::Node Key; |
| 2505 | 3420 |
/// The value type |
| 2506 | 3421 |
typedef int Value; |
| 2507 | 3422 |
|
| 2508 | 3423 |
typedef typename ItemSetTraits<Digraph, typename Digraph::Arc> |
| 2509 | 3424 |
::ItemNotifier::ObserverBase Parent; |
| 2510 | 3425 |
|
| 2511 | 3426 |
private: |
| 2512 | 3427 |
|
| 2513 | 3428 |
class AutoNodeMap |
| 2514 | 3429 |
: public ItemSetTraits<Digraph, Key>::template Map<int>::Type {
|
| 2515 | 3430 |
public: |
| 2516 | 3431 |
|
| 2517 | 3432 |
typedef typename ItemSetTraits<Digraph, Key>:: |
| 2518 | 3433 |
template Map<int>::Type Parent; |
| 2519 | 3434 |
|
| 2520 | 3435 |
AutoNodeMap(const Digraph& digraph) : Parent(digraph, 0) {}
|
| 2521 | 3436 |
|
| 2522 | 3437 |
virtual void add(const Key& key) {
|
| 2523 | 3438 |
Parent::add(key); |
| 2524 | 3439 |
Parent::set(key, 0); |
| 2525 | 3440 |
} |
| 2526 | 3441 |
|
| 2527 | 3442 |
virtual void add(const std::vector<Key>& keys) {
|
| 2528 | 3443 |
Parent::add(keys); |
| 2529 | 3444 |
for (int i = 0; i < int(keys.size()); ++i) {
|
| 2530 | 3445 |
Parent::set(keys[i], 0); |
| 2531 | 3446 |
} |
| 2532 | 3447 |
} |
| 2533 | 3448 |
|
| 2534 | 3449 |
virtual void build() {
|
| 2535 | 3450 |
Parent::build(); |
| 2536 | 3451 |
Key it; |
| 2537 | 3452 |
typename Parent::Notifier* nf = Parent::notifier(); |
| 2538 | 3453 |
for (nf->first(it); it != INVALID; nf->next(it)) {
|
| 2539 | 3454 |
Parent::set(it, 0); |
| 2540 | 3455 |
} |
| 2541 | 3456 |
} |
| 2542 | 3457 |
}; |
| 2543 | 3458 |
|
| 2544 | 3459 |
public: |
| 2545 | 3460 |
|
| 2546 | 3461 |
/// \brief Constructor. |
| 2547 | 3462 |
/// |
| 2548 | 3463 |
/// Constructor for creating an in-degree map. |
| 2549 | 3464 |
explicit InDegMap(const Digraph& graph) |
| 2550 | 3465 |
: _digraph(graph), _deg(graph) {
|
| 2551 | 3466 |
Parent::attach(_digraph.notifier(typename Digraph::Arc())); |
| 2552 | 3467 |
|
| 2553 | 3468 |
for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
|
| 2554 | 3469 |
_deg[it] = countInArcs(_digraph, it); |
| 2555 | 3470 |
} |
| 2556 | 3471 |
} |
| 2557 | 3472 |
|
| 2558 | 3473 |
/// \brief Gives back the in-degree of a Node. |
| 2559 | 3474 |
/// |
| 2560 | 3475 |
/// Gives back the in-degree of a Node. |
| 2561 | 3476 |
int operator[](const Key& key) const {
|
| 2562 | 3477 |
return _deg[key]; |
| 2563 | 3478 |
} |
| 2564 | 3479 |
|
| 2565 | 3480 |
protected: |
| 2566 | 3481 |
|
| 2567 | 3482 |
typedef typename Digraph::Arc Arc; |
| 2568 | 3483 |
|
| 2569 | 3484 |
virtual void add(const Arc& arc) {
|
| 2570 | 3485 |
++_deg[_digraph.target(arc)]; |
| 2571 | 3486 |
} |
| 2572 | 3487 |
|
| 2573 | 3488 |
virtual void add(const std::vector<Arc>& arcs) {
|
| 2574 | 3489 |
for (int i = 0; i < int(arcs.size()); ++i) {
|
| 2575 | 3490 |
++_deg[_digraph.target(arcs[i])]; |
| 2576 | 3491 |
} |
| 2577 | 3492 |
} |
| 2578 | 3493 |
|
| 2579 | 3494 |
virtual void erase(const Arc& arc) {
|
| 2580 | 3495 |
--_deg[_digraph.target(arc)]; |
| 2581 | 3496 |
} |
| 2582 | 3497 |
|
| 2583 | 3498 |
virtual void erase(const std::vector<Arc>& arcs) {
|
| 2584 | 3499 |
for (int i = 0; i < int(arcs.size()); ++i) {
|
| 2585 | 3500 |
--_deg[_digraph.target(arcs[i])]; |
| 2586 | 3501 |
} |
| 2587 | 3502 |
} |
| 2588 | 3503 |
|
| 2589 | 3504 |
virtual void build() {
|
| 2590 | 3505 |
for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
|
| 2591 | 3506 |
_deg[it] = countInArcs(_digraph, it); |
| 2592 | 3507 |
} |
| 2593 | 3508 |
} |
| 2594 | 3509 |
|
| 2595 | 3510 |
virtual void clear() {
|
| 2596 | 3511 |
for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
|
| 2597 | 3512 |
_deg[it] = 0; |
| 2598 | 3513 |
} |
| 2599 | 3514 |
} |
| 2600 | 3515 |
private: |
| 2601 | 3516 |
|
| 2602 | 3517 |
const Digraph& _digraph; |
| 2603 | 3518 |
AutoNodeMap _deg; |
| 2604 | 3519 |
}; |
| 2605 | 3520 |
|
| 2606 | 3521 |
/// \brief Map of the out-degrees of nodes in a digraph. |
| 2607 | 3522 |
/// |
| 2608 | 3523 |
/// This map returns the out-degree of a node. Once it is constructed, |
| 2609 | 3524 |
/// the degrees are stored in a standard \c NodeMap, so each query is done |
| 2610 | 3525 |
/// in constant time. On the other hand, the values are updated automatically |
| 2611 | 3526 |
/// whenever the digraph changes. |
| 2612 | 3527 |
/// |
| 2613 |
/// \warning Besides \c addNode() and \c addArc(), a digraph structure |
|
| 3528 |
/// \warning Besides \c addNode() and \c addArc(), a digraph structure |
|
| 2614 | 3529 |
/// may provide alternative ways to modify the digraph. |
| 2615 | 3530 |
/// The correct behavior of OutDegMap is not guarantied if these additional |
| 2616 | 3531 |
/// features are used. For example the functions |
| 2617 | 3532 |
/// \ref ListDigraph::changeSource() "changeSource()", |
| 2618 | 3533 |
/// \ref ListDigraph::changeTarget() "changeTarget()" and |
| 2619 | 3534 |
/// \ref ListDigraph::reverseArc() "reverseArc()" |
| 2620 | 3535 |
/// of \ref ListDigraph will \e not update the degree values correctly. |
| 2621 | 3536 |
/// |
| 2622 | 3537 |
/// \sa InDegMap |
| 2623 | 3538 |
template <typename GR> |
| 2624 | 3539 |
class OutDegMap |
| 2625 | 3540 |
: protected ItemSetTraits<GR, typename GR::Arc> |
| 2626 | 3541 |
::ItemNotifier::ObserverBase {
|
| 2627 | 3542 |
|
| 2628 | 3543 |
public: |
| 2629 | 3544 |
|
| 2630 | 3545 |
/// The graph type of OutDegMap |
| 2631 | 3546 |
typedef GR Graph; |
| 2632 | 3547 |
typedef GR Digraph; |
| 2633 | 3548 |
/// The key type |
| 2634 | 3549 |
typedef typename Digraph::Node Key; |
| 2635 | 3550 |
/// The value type |
| 2636 | 3551 |
typedef int Value; |
| 2637 | 3552 |
|
| 2638 | 3553 |
typedef typename ItemSetTraits<Digraph, typename Digraph::Arc> |
| 2639 | 3554 |
::ItemNotifier::ObserverBase Parent; |
| 2640 | 3555 |
|
| 2641 | 3556 |
private: |
| 2642 | 3557 |
|
| 2643 | 3558 |
class AutoNodeMap |
| 2644 | 3559 |
: public ItemSetTraits<Digraph, Key>::template Map<int>::Type {
|
| 2645 | 3560 |
public: |
| 2646 | 3561 |
|
| 2647 | 3562 |
typedef typename ItemSetTraits<Digraph, Key>:: |
| 2648 | 3563 |
template Map<int>::Type Parent; |
| 2649 | 3564 |
|
| 2650 | 3565 |
AutoNodeMap(const Digraph& digraph) : Parent(digraph, 0) {}
|
| 2651 | 3566 |
|
| 2652 | 3567 |
virtual void add(const Key& key) {
|
| 2653 | 3568 |
Parent::add(key); |
| 2654 | 3569 |
Parent::set(key, 0); |
| 2655 | 3570 |
} |
| 2656 | 3571 |
virtual void add(const std::vector<Key>& keys) {
|
| 2657 | 3572 |
Parent::add(keys); |
| 2658 | 3573 |
for (int i = 0; i < int(keys.size()); ++i) {
|
| 2659 | 3574 |
Parent::set(keys[i], 0); |
| 2660 | 3575 |
} |
| 2661 | 3576 |
} |
| 2662 | 3577 |
virtual void build() {
|
| 2663 | 3578 |
Parent::build(); |
| 2664 | 3579 |
Key it; |
| 2665 | 3580 |
typename Parent::Notifier* nf = Parent::notifier(); |
| 2666 | 3581 |
for (nf->first(it); it != INVALID; nf->next(it)) {
|
| 2667 | 3582 |
Parent::set(it, 0); |
| 2668 | 3583 |
} |
| 2669 | 3584 |
} |
| 2670 | 3585 |
}; |
| 2671 | 3586 |
|
| 2672 | 3587 |
public: |
| 2673 | 3588 |
|
| 2674 | 3589 |
/// \brief Constructor. |
| 2675 | 3590 |
/// |
| 2676 | 3591 |
/// Constructor for creating an out-degree map. |
| 2677 | 3592 |
explicit OutDegMap(const Digraph& graph) |
| 2678 | 3593 |
: _digraph(graph), _deg(graph) {
|
| 2679 | 3594 |
Parent::attach(_digraph.notifier(typename Digraph::Arc())); |
| 2680 | 3595 |
|
| 2681 | 3596 |
for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
|
| 2682 | 3597 |
_deg[it] = countOutArcs(_digraph, it); |
| 2683 | 3598 |
} |
| 2684 | 3599 |
} |
| 2685 | 3600 |
|
| 2686 | 3601 |
/// \brief Gives back the out-degree of a Node. |
| 2687 | 3602 |
/// |
| 2688 | 3603 |
/// Gives back the out-degree of a Node. |
| 2689 | 3604 |
int operator[](const Key& key) const {
|
| 2690 | 3605 |
return _deg[key]; |
| 2691 | 3606 |
} |
| 2692 | 3607 |
|
| 2693 | 3608 |
protected: |
| 2694 | 3609 |
|
| 2695 | 3610 |
typedef typename Digraph::Arc Arc; |
| 2696 | 3611 |
|
| 2697 | 3612 |
virtual void add(const Arc& arc) {
|
| 2698 | 3613 |
++_deg[_digraph.source(arc)]; |
| 2699 | 3614 |
} |
| 2700 | 3615 |
|
| 2701 | 3616 |
virtual void add(const std::vector<Arc>& arcs) {
|
| 2702 | 3617 |
for (int i = 0; i < int(arcs.size()); ++i) {
|
| 2703 | 3618 |
++_deg[_digraph.source(arcs[i])]; |
| 2704 | 3619 |
} |
| 2705 | 3620 |
} |
| 2706 | 3621 |
|
| 2707 | 3622 |
virtual void erase(const Arc& arc) {
|
| 2708 | 3623 |
--_deg[_digraph.source(arc)]; |
| 2709 | 3624 |
} |
| 2710 | 3625 |
|
| 2711 | 3626 |
virtual void erase(const std::vector<Arc>& arcs) {
|
| 2712 | 3627 |
for (int i = 0; i < int(arcs.size()); ++i) {
|
| 2713 | 3628 |
--_deg[_digraph.source(arcs[i])]; |
| 2714 | 3629 |
} |
| 2715 | 3630 |
} |
| 2716 | 3631 |
|
| 2717 | 3632 |
virtual void build() {
|
| 2718 | 3633 |
for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
|
| 2719 | 3634 |
_deg[it] = countOutArcs(_digraph, it); |
| 2720 | 3635 |
} |
| 2721 | 3636 |
} |
| 2722 | 3637 |
|
| 2723 | 3638 |
virtual void clear() {
|
| 2724 | 3639 |
for(typename Digraph::NodeIt it(_digraph); it != INVALID; ++it) {
|
| 2725 | 3640 |
_deg[it] = 0; |
| 2726 | 3641 |
} |
| 2727 | 3642 |
} |
| 2728 | 3643 |
private: |
| 2729 | 3644 |
|
| 2730 | 3645 |
const Digraph& _digraph; |
| 2731 | 3646 |
AutoNodeMap _deg; |
| 2732 | 3647 |
}; |
| 2733 | 3648 |
|
| 2734 | 3649 |
/// \brief Potential difference map |
| 2735 | 3650 |
/// |
| 2736 | 3651 |
/// PotentialDifferenceMap returns the difference between the potentials of |
| 2737 | 3652 |
/// the source and target nodes of each arc in a digraph, i.e. it returns |
| 2738 | 3653 |
/// \code |
| 2739 | 3654 |
/// potential[gr.target(arc)] - potential[gr.source(arc)]. |
| 2740 | 3655 |
/// \endcode |
| 2741 | 3656 |
/// \tparam GR The digraph type. |
| 2742 | 3657 |
/// \tparam POT A node map storing the potentials. |
| 2743 | 3658 |
template <typename GR, typename POT> |
| 2744 | 3659 |
class PotentialDifferenceMap {
|
| 2745 | 3660 |
public: |
| 2746 | 3661 |
/// Key type |
| 2747 | 3662 |
typedef typename GR::Arc Key; |
| 2748 | 3663 |
/// Value type |
| 2749 | 3664 |
typedef typename POT::Value Value; |
| 2750 | 3665 |
|
| 2751 | 3666 |
/// \brief Constructor |
| 2752 | 3667 |
/// |
| 2753 | 3668 |
/// Contructor of the map. |
| 2754 | 3669 |
explicit PotentialDifferenceMap(const GR& gr, |
| 2755 | 3670 |
const POT& potential) |
| 2756 | 3671 |
: _digraph(gr), _potential(potential) {}
|
| 2757 | 3672 |
|
| 2758 | 3673 |
/// \brief Returns the potential difference for the given arc. |
| 2759 | 3674 |
/// |
| 2760 | 3675 |
/// Returns the potential difference for the given arc, i.e. |
| 2761 | 3676 |
/// \code |
| 2762 | 3677 |
/// potential[gr.target(arc)] - potential[gr.source(arc)]. |
| 2763 | 3678 |
/// \endcode |
| 2764 | 3679 |
Value operator[](const Key& arc) const {
|
| 2765 | 3680 |
return _potential[_digraph.target(arc)] - |
| 2766 | 3681 |
_potential[_digraph.source(arc)]; |
| 2767 | 3682 |
} |
| 2768 | 3683 |
|
| 2769 | 3684 |
private: |
| 2770 | 3685 |
const GR& _digraph; |
| 2771 | 3686 |
const POT& _potential; |
| 2772 | 3687 |
}; |
| 2773 | 3688 |
|
| 2774 | 3689 |
/// \brief Returns a PotentialDifferenceMap. |
| 2775 | 3690 |
/// |
| 2776 | 3691 |
/// This function just returns a PotentialDifferenceMap. |
| 2777 | 3692 |
/// \relates PotentialDifferenceMap |
| 2778 | 3693 |
template <typename GR, typename POT> |
| 2779 | 3694 |
PotentialDifferenceMap<GR, POT> |
| 2780 | 3695 |
potentialDifferenceMap(const GR& gr, const POT& potential) {
|
| 2781 | 3696 |
return PotentialDifferenceMap<GR, POT>(gr, potential); |
| 2782 | 3697 |
} |
| 2783 | 3698 |
|
| 2784 | 3699 |
/// @} |
| 2785 | 3700 |
} |
| 2786 | 3701 |
|
| 2787 | 3702 |
#endif // LEMON_MAPS_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 | 19 |
#ifndef LEMON_PREFLOW_H |
| 20 | 20 |
#define LEMON_PREFLOW_H |
| 21 | 21 |
|
| 22 | 22 |
#include <lemon/tolerance.h> |
| 23 | 23 |
#include <lemon/elevator.h> |
| 24 | 24 |
|
| 25 | 25 |
/// \file |
| 26 | 26 |
/// \ingroup max_flow |
| 27 | 27 |
/// \brief Implementation of the preflow algorithm. |
| 28 | 28 |
|
| 29 | 29 |
namespace lemon {
|
| 30 | 30 |
|
| 31 | 31 |
/// \brief Default traits class of Preflow class. |
| 32 | 32 |
/// |
| 33 | 33 |
/// Default traits class of Preflow class. |
| 34 | 34 |
/// \tparam GR Digraph type. |
| 35 | 35 |
/// \tparam CAP Capacity map type. |
| 36 | 36 |
template <typename GR, typename CAP> |
| 37 | 37 |
struct PreflowDefaultTraits {
|
| 38 | 38 |
|
| 39 | 39 |
/// \brief The type of the digraph the algorithm runs on. |
| 40 | 40 |
typedef GR Digraph; |
| 41 | 41 |
|
| 42 | 42 |
/// \brief The type of the map that stores the arc capacities. |
| 43 | 43 |
/// |
| 44 | 44 |
/// The type of the map that stores the arc capacities. |
| 45 | 45 |
/// It must meet the \ref concepts::ReadMap "ReadMap" concept. |
| 46 | 46 |
typedef CAP CapacityMap; |
| 47 | 47 |
|
| 48 | 48 |
/// \brief The type of the flow values. |
| 49 | 49 |
typedef typename CapacityMap::Value Value; |
| 50 | 50 |
|
| 51 | 51 |
/// \brief The type of the map that stores the flow values. |
| 52 | 52 |
/// |
| 53 | 53 |
/// The type of the map that stores the flow values. |
| 54 | 54 |
/// It must meet the \ref concepts::ReadWriteMap "ReadWriteMap" concept. |
| 55 | 55 |
#ifdef DOXYGEN |
| 56 | 56 |
typedef GR::ArcMap<Value> FlowMap; |
| 57 | 57 |
#else |
| 58 | 58 |
typedef typename Digraph::template ArcMap<Value> FlowMap; |
| 59 | 59 |
#endif |
| 60 | 60 |
|
| 61 | 61 |
/// \brief Instantiates a FlowMap. |
| 62 | 62 |
/// |
| 63 | 63 |
/// This function instantiates a \ref FlowMap. |
| 64 | 64 |
/// \param digraph The digraph for which we would like to define |
| 65 | 65 |
/// the flow map. |
| 66 | 66 |
static FlowMap* createFlowMap(const Digraph& digraph) {
|
| 67 | 67 |
return new FlowMap(digraph); |
| 68 | 68 |
} |
| 69 | 69 |
|
| 70 | 70 |
/// \brief The elevator type used by Preflow algorithm. |
| 71 | 71 |
/// |
| 72 | 72 |
/// The elevator type used by Preflow algorithm. |
| 73 | 73 |
/// |
| 74 | 74 |
/// \sa Elevator, LinkedElevator |
| 75 | 75 |
#ifdef DOXYGEN |
| 76 | 76 |
typedef lemon::Elevator<GR, GR::Node> Elevator; |
| 77 | 77 |
#else |
| 78 | 78 |
typedef lemon::Elevator<Digraph, typename Digraph::Node> Elevator; |
| 79 | 79 |
#endif |
| 80 | 80 |
|
| 81 | 81 |
/// \brief Instantiates an Elevator. |
| 82 | 82 |
/// |
| 83 | 83 |
/// This function instantiates an \ref Elevator. |
| 84 | 84 |
/// \param digraph The digraph for which we would like to define |
| 85 | 85 |
/// the elevator. |
| 86 | 86 |
/// \param max_level The maximum level of the elevator. |
| 87 | 87 |
static Elevator* createElevator(const Digraph& digraph, int max_level) {
|
| 88 | 88 |
return new Elevator(digraph, max_level); |
| 89 | 89 |
} |
| 90 | 90 |
|
| 91 | 91 |
/// \brief The tolerance used by the algorithm |
| 92 | 92 |
/// |
| 93 | 93 |
/// The tolerance used by the algorithm to handle inexact computation. |
| 94 | 94 |
typedef lemon::Tolerance<Value> Tolerance; |
| 95 | 95 |
|
| 96 | 96 |
}; |
| 97 | 97 |
|
| 98 | 98 |
|
| 99 | 99 |
/// \ingroup max_flow |
| 100 | 100 |
/// |
| 101 | 101 |
/// \brief %Preflow algorithm class. |
| 102 | 102 |
/// |
| 103 | 103 |
/// This class provides an implementation of Goldberg-Tarjan's \e preflow |
| 104 | 104 |
/// \e push-relabel algorithm producing a \ref max_flow |
| 105 | 105 |
/// "flow of maximum value" in a digraph. |
| 106 | 106 |
/// The preflow algorithms are the fastest known maximum |
| 107 |
/// flow algorithms. The current implementation |
|
| 107 |
/// flow algorithms. The current implementation uses a mixture of the |
|
| 108 | 108 |
/// \e "highest label" and the \e "bound decrease" heuristics. |
| 109 | 109 |
/// The worst case time complexity of the algorithm is \f$O(n^2\sqrt{e})\f$.
|
| 110 | 110 |
/// |
| 111 | 111 |
/// The algorithm consists of two phases. After the first phase |
| 112 | 112 |
/// the maximum flow value and the minimum cut is obtained. The |
| 113 | 113 |
/// second phase constructs a feasible maximum flow on each arc. |
| 114 | 114 |
/// |
| 115 | 115 |
/// \tparam GR The type of the digraph the algorithm runs on. |
| 116 | 116 |
/// \tparam CAP The type of the capacity map. The default map |
| 117 | 117 |
/// type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>". |
| 118 | 118 |
#ifdef DOXYGEN |
| 119 | 119 |
template <typename GR, typename CAP, typename TR> |
| 120 | 120 |
#else |
| 121 | 121 |
template <typename GR, |
| 122 | 122 |
typename CAP = typename GR::template ArcMap<int>, |
| 123 | 123 |
typename TR = PreflowDefaultTraits<GR, CAP> > |
| 124 | 124 |
#endif |
| 125 | 125 |
class Preflow {
|
| 126 | 126 |
public: |
| 127 | 127 |
|
| 128 | 128 |
///The \ref PreflowDefaultTraits "traits class" of the algorithm. |
| 129 | 129 |
typedef TR Traits; |
| 130 | 130 |
///The type of the digraph the algorithm runs on. |
| 131 | 131 |
typedef typename Traits::Digraph Digraph; |
| 132 | 132 |
///The type of the capacity map. |
| 133 | 133 |
typedef typename Traits::CapacityMap CapacityMap; |
| 134 | 134 |
///The type of the flow values. |
| 135 | 135 |
typedef typename Traits::Value Value; |
| 136 | 136 |
|
| 137 | 137 |
///The type of the flow map. |
| 138 | 138 |
typedef typename Traits::FlowMap FlowMap; |
| 139 | 139 |
///The type of the elevator. |
| 140 | 140 |
typedef typename Traits::Elevator Elevator; |
| 141 | 141 |
///The type of the tolerance. |
| 142 | 142 |
typedef typename Traits::Tolerance Tolerance; |
| 143 | 143 |
|
| 144 | 144 |
private: |
| 145 | 145 |
|
| 146 | 146 |
TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); |
| 147 | 147 |
|
| 148 | 148 |
const Digraph& _graph; |
| 149 | 149 |
const CapacityMap* _capacity; |
| 150 | 150 |
|
| 151 | 151 |
int _node_num; |
| 152 | 152 |
|
| 153 | 153 |
Node _source, _target; |
| 154 | 154 |
|
| 155 | 155 |
FlowMap* _flow; |
| 156 | 156 |
bool _local_flow; |
| 157 | 157 |
|
| 158 | 158 |
Elevator* _level; |
| 159 | 159 |
bool _local_level; |
| 160 | 160 |
|
| 161 | 161 |
typedef typename Digraph::template NodeMap<Value> ExcessMap; |
| 162 | 162 |
ExcessMap* _excess; |
| 163 | 163 |
|
| 164 | 164 |
Tolerance _tolerance; |
| 165 | 165 |
|
| 166 | 166 |
bool _phase; |
| 167 | 167 |
|
| 168 | 168 |
|
| 169 | 169 |
void createStructures() {
|
| 170 | 170 |
_node_num = countNodes(_graph); |
| 171 | 171 |
|
| 172 | 172 |
if (!_flow) {
|
| 173 | 173 |
_flow = Traits::createFlowMap(_graph); |
| 174 | 174 |
_local_flow = true; |
| 175 | 175 |
} |
| 176 | 176 |
if (!_level) {
|
| 177 | 177 |
_level = Traits::createElevator(_graph, _node_num); |
| 178 | 178 |
_local_level = true; |
| 179 | 179 |
} |
| 180 | 180 |
if (!_excess) {
|
| 181 | 181 |
_excess = new ExcessMap(_graph); |
| 182 | 182 |
} |
| 183 | 183 |
} |
| 184 | 184 |
|
| 185 | 185 |
void destroyStructures() {
|
| 186 | 186 |
if (_local_flow) {
|
| 187 | 187 |
delete _flow; |
| 188 | 188 |
} |
| 189 | 189 |
if (_local_level) {
|
| 190 | 190 |
delete _level; |
| 191 | 191 |
} |
| 192 | 192 |
if (_excess) {
|
| 193 | 193 |
delete _excess; |
| 194 | 194 |
} |
| 195 | 195 |
} |
| 196 | 196 |
|
| 197 | 197 |
public: |
| 198 | 198 |
|
| 199 | 199 |
typedef Preflow Create; |
| 200 | 200 |
|
| 201 | 201 |
///\name Named Template Parameters |
| 202 | 202 |
|
| 203 | 203 |
///@{
|
| 204 | 204 |
|
| 205 | 205 |
template <typename T> |
| 206 | 206 |
struct SetFlowMapTraits : public Traits {
|
| 207 | 207 |
typedef T FlowMap; |
| 208 | 208 |
static FlowMap *createFlowMap(const Digraph&) {
|
| 209 | 209 |
LEMON_ASSERT(false, "FlowMap is not initialized"); |
| 210 | 210 |
return 0; // ignore warnings |
| 211 | 211 |
} |
| 212 | 212 |
}; |
| 213 | 213 |
|
| 214 | 214 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 215 | 215 |
/// FlowMap type |
| 216 | 216 |
/// |
| 217 | 217 |
/// \ref named-templ-param "Named parameter" for setting FlowMap |
| 218 | 218 |
/// type. |
| 219 | 219 |
template <typename T> |
| 220 | 220 |
struct SetFlowMap |
| 221 | 221 |
: public Preflow<Digraph, CapacityMap, SetFlowMapTraits<T> > {
|
| 222 | 222 |
typedef Preflow<Digraph, CapacityMap, |
| 223 | 223 |
SetFlowMapTraits<T> > Create; |
| 224 | 224 |
}; |
| 225 | 225 |
|
| 226 | 226 |
template <typename T> |
| 227 | 227 |
struct SetElevatorTraits : public Traits {
|
| 228 | 228 |
typedef T Elevator; |
| 229 | 229 |
static Elevator *createElevator(const Digraph&, int) {
|
| 230 | 230 |
LEMON_ASSERT(false, "Elevator is not initialized"); |
| 231 | 231 |
return 0; // ignore warnings |
| 232 | 232 |
} |
| 233 | 233 |
}; |
| 234 | 234 |
|
| 235 | 235 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 236 | 236 |
/// Elevator type |
| 237 | 237 |
/// |
| 238 | 238 |
/// \ref named-templ-param "Named parameter" for setting Elevator |
| 239 | 239 |
/// type. If this named parameter is used, then an external |
| 240 | 240 |
/// elevator object must be passed to the algorithm using the |
| 241 | 241 |
/// \ref elevator(Elevator&) "elevator()" function before calling |
| 242 | 242 |
/// \ref run() or \ref init(). |
| 243 | 243 |
/// \sa SetStandardElevator |
| 244 | 244 |
template <typename T> |
| 245 | 245 |
struct SetElevator |
| 246 | 246 |
: public Preflow<Digraph, CapacityMap, SetElevatorTraits<T> > {
|
| 247 | 247 |
typedef Preflow<Digraph, CapacityMap, |
| 248 | 248 |
SetElevatorTraits<T> > Create; |
| 249 | 249 |
}; |
| 250 | 250 |
|
| 251 | 251 |
template <typename T> |
| 252 | 252 |
struct SetStandardElevatorTraits : public Traits {
|
| 253 | 253 |
typedef T Elevator; |
| 254 | 254 |
static Elevator *createElevator(const Digraph& digraph, int max_level) {
|
| 255 | 255 |
return new Elevator(digraph, max_level); |
| 256 | 256 |
} |
| 257 | 257 |
}; |
| 258 | 258 |
|
| 259 | 259 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 260 | 260 |
/// Elevator type with automatic allocation |
| 261 | 261 |
/// |
| 262 | 262 |
/// \ref named-templ-param "Named parameter" for setting Elevator |
| 263 | 263 |
/// type with automatic allocation. |
| 264 | 264 |
/// The Elevator should have standard constructor interface to be |
| 265 | 265 |
/// able to automatically created by the algorithm (i.e. the |
| 266 | 266 |
/// digraph and the maximum level should be passed to it). |
| 267 | 267 |
/// However an external elevator object could also be passed to the |
| 268 | 268 |
/// algorithm with the \ref elevator(Elevator&) "elevator()" function |
| 269 | 269 |
/// before calling \ref run() or \ref init(). |
| 270 | 270 |
/// \sa SetElevator |
| 271 | 271 |
template <typename T> |
| 272 | 272 |
struct SetStandardElevator |
| 273 | 273 |
: public Preflow<Digraph, CapacityMap, |
| 274 | 274 |
SetStandardElevatorTraits<T> > {
|
| 275 | 275 |
typedef Preflow<Digraph, CapacityMap, |
| 276 | 276 |
SetStandardElevatorTraits<T> > Create; |
| 277 | 277 |
}; |
| 278 | 278 |
|
| 279 | 279 |
/// @} |
| 280 | 280 |
|
| 281 | 281 |
protected: |
| 282 | 282 |
|
| 283 | 283 |
Preflow() {}
|
| 284 | 284 |
|
| 285 | 285 |
public: |
| 286 | 286 |
|
| 287 | 287 |
|
| 288 | 288 |
/// \brief The constructor of the class. |
| 289 | 289 |
/// |
| 290 | 290 |
/// The constructor of the class. |
| 291 | 291 |
/// \param digraph The digraph the algorithm runs on. |
| 292 | 292 |
/// \param capacity The capacity of the arcs. |
| 293 | 293 |
/// \param source The source node. |
| 294 | 294 |
/// \param target The target node. |
| 295 | 295 |
Preflow(const Digraph& digraph, const CapacityMap& capacity, |
| 296 | 296 |
Node source, Node target) |
| 297 | 297 |
: _graph(digraph), _capacity(&capacity), |
| 298 | 298 |
_node_num(0), _source(source), _target(target), |
| 299 | 299 |
_flow(0), _local_flow(false), |
| 300 | 300 |
_level(0), _local_level(false), |
| 301 | 301 |
_excess(0), _tolerance(), _phase() {}
|
| 302 | 302 |
|
| 303 | 303 |
/// \brief Destructor. |
| 304 | 304 |
/// |
| 305 | 305 |
/// Destructor. |
| 306 | 306 |
~Preflow() {
|
| 307 | 307 |
destroyStructures(); |
| 308 | 308 |
} |
| 309 | 309 |
|
| 310 | 310 |
/// \brief Sets the capacity map. |
| 311 | 311 |
/// |
| 312 | 312 |
/// Sets the capacity map. |
| 313 | 313 |
/// \return <tt>(*this)</tt> |
| 314 | 314 |
Preflow& capacityMap(const CapacityMap& map) {
|
| 315 | 315 |
_capacity = ↦ |
| 316 | 316 |
return *this; |
| 317 | 317 |
} |
| 318 | 318 |
|
| 319 | 319 |
/// \brief Sets the flow map. |
| 320 | 320 |
/// |
| 321 | 321 |
/// Sets the flow map. |
| 322 | 322 |
/// If you don't use this function before calling \ref run() or |
| 323 | 323 |
/// \ref init(), an instance will be allocated automatically. |
| 324 | 324 |
/// The destructor deallocates this automatically allocated map, |
| 325 | 325 |
/// of course. |
| 326 | 326 |
/// \return <tt>(*this)</tt> |
| 327 | 327 |
Preflow& flowMap(FlowMap& map) {
|
| 328 | 328 |
if (_local_flow) {
|
| 329 | 329 |
delete _flow; |
| 330 | 330 |
_local_flow = false; |
| 331 | 331 |
} |
| 332 | 332 |
_flow = ↦ |
| 333 | 333 |
return *this; |
| 334 | 334 |
} |
| 335 | 335 |
|
| 336 | 336 |
/// \brief Sets the source node. |
| 337 | 337 |
/// |
| 338 | 338 |
/// Sets the source node. |
| 339 | 339 |
/// \return <tt>(*this)</tt> |
| 340 | 340 |
Preflow& source(const Node& node) {
|
| 341 | 341 |
_source = node; |
| 342 | 342 |
return *this; |
| 343 | 343 |
} |
| 344 | 344 |
|
| 345 | 345 |
/// \brief Sets the target node. |
| 346 | 346 |
/// |
| 347 | 347 |
/// Sets the target node. |
| 348 | 348 |
/// \return <tt>(*this)</tt> |
| 349 | 349 |
Preflow& target(const Node& node) {
|
| 350 | 350 |
_target = node; |
| 351 | 351 |
return *this; |
| 352 | 352 |
} |
| 353 | 353 |
|
| 354 | 354 |
/// \brief Sets the elevator used by algorithm. |
| 355 | 355 |
/// |
| 356 | 356 |
/// Sets the elevator used by algorithm. |
| 357 | 357 |
/// If you don't use this function before calling \ref run() or |
| 358 | 358 |
/// \ref init(), an instance will be allocated automatically. |
| 359 | 359 |
/// The destructor deallocates this automatically allocated elevator, |
| 360 | 360 |
/// of course. |
| 361 | 361 |
/// \return <tt>(*this)</tt> |
| 362 | 362 |
Preflow& elevator(Elevator& elevator) {
|
| 363 | 363 |
if (_local_level) {
|
| 364 | 364 |
delete _level; |
| 365 | 365 |
_local_level = false; |
| 366 | 366 |
} |
| 367 | 367 |
_level = &elevator; |
| 368 | 368 |
return *this; |
| 369 | 369 |
} |
| 370 | 370 |
|
| 371 | 371 |
/// \brief Returns a const reference to the elevator. |
| 372 | 372 |
/// |
| 373 | 373 |
/// Returns a const reference to the elevator. |
| 374 | 374 |
/// |
| 375 | 375 |
/// \pre Either \ref run() or \ref init() must be called before |
| 376 | 376 |
/// using this function. |
| 377 | 377 |
const Elevator& elevator() const {
|
| 378 | 378 |
return *_level; |
| 379 | 379 |
} |
| 380 | 380 |
|
| 381 |
/// \brief Sets the tolerance used by algorithm. |
|
| 381 |
/// \brief Sets the tolerance used by the algorithm. |
|
| 382 | 382 |
/// |
| 383 |
/// Sets the tolerance used by algorithm. |
|
| 384 |
Preflow& tolerance(const Tolerance& tolerance) const {
|
|
| 383 |
/// Sets the tolerance object used by the algorithm. |
|
| 384 |
/// \return <tt>(*this)</tt> |
|
| 385 |
Preflow& tolerance(const Tolerance& tolerance) {
|
|
| 385 | 386 |
_tolerance = tolerance; |
| 386 | 387 |
return *this; |
| 387 | 388 |
} |
| 388 | 389 |
|
| 389 | 390 |
/// \brief Returns a const reference to the tolerance. |
| 390 | 391 |
/// |
| 391 |
/// Returns a const reference to the tolerance |
|
| 392 |
/// Returns a const reference to the tolerance object used by |
|
| 393 |
/// the algorithm. |
|
| 392 | 394 |
const Tolerance& tolerance() const {
|
| 393 |
return |
|
| 395 |
return _tolerance; |
|
| 394 | 396 |
} |
| 395 | 397 |
|
| 396 | 398 |
/// \name Execution Control |
| 397 | 399 |
/// The simplest way to execute the preflow algorithm is to use |
| 398 | 400 |
/// \ref run() or \ref runMinCut().\n |
| 399 | 401 |
/// If you need better control on the initial solution or the execution, |
| 400 | 402 |
/// you have to call one of the \ref init() functions first, then |
| 401 | 403 |
/// \ref startFirstPhase() and if you need it \ref startSecondPhase(). |
| 402 | 404 |
|
| 403 | 405 |
///@{
|
| 404 | 406 |
|
| 405 | 407 |
/// \brief Initializes the internal data structures. |
| 406 | 408 |
/// |
| 407 | 409 |
/// Initializes the internal data structures and sets the initial |
| 408 | 410 |
/// flow to zero on each arc. |
| 409 | 411 |
void init() {
|
| 410 | 412 |
createStructures(); |
| 411 | 413 |
|
| 412 | 414 |
_phase = true; |
| 413 | 415 |
for (NodeIt n(_graph); n != INVALID; ++n) {
|
| 414 | 416 |
(*_excess)[n] = 0; |
| 415 | 417 |
} |
| 416 | 418 |
|
| 417 | 419 |
for (ArcIt e(_graph); e != INVALID; ++e) {
|
| 418 | 420 |
_flow->set(e, 0); |
| 419 | 421 |
} |
| 420 | 422 |
|
| 421 | 423 |
typename Digraph::template NodeMap<bool> reached(_graph, false); |
| 422 | 424 |
|
| 423 | 425 |
_level->initStart(); |
| 424 | 426 |
_level->initAddItem(_target); |
| 425 | 427 |
|
| 426 | 428 |
std::vector<Node> queue; |
| 427 | 429 |
reached[_source] = true; |
| 428 | 430 |
|
| 429 | 431 |
queue.push_back(_target); |
| 430 | 432 |
reached[_target] = true; |
| 431 | 433 |
while (!queue.empty()) {
|
| 432 | 434 |
_level->initNewLevel(); |
| 433 | 435 |
std::vector<Node> nqueue; |
| 434 | 436 |
for (int i = 0; i < int(queue.size()); ++i) {
|
| 435 | 437 |
Node n = queue[i]; |
| 436 | 438 |
for (InArcIt e(_graph, n); e != INVALID; ++e) {
|
| 437 | 439 |
Node u = _graph.source(e); |
| 438 | 440 |
if (!reached[u] && _tolerance.positive((*_capacity)[e])) {
|
| 439 | 441 |
reached[u] = true; |
| 440 | 442 |
_level->initAddItem(u); |
| 441 | 443 |
nqueue.push_back(u); |
| 442 | 444 |
} |
| 443 | 445 |
} |
| 444 | 446 |
} |
| 445 | 447 |
queue.swap(nqueue); |
| 446 | 448 |
} |
| 447 | 449 |
_level->initFinish(); |
| 448 | 450 |
|
| 449 | 451 |
for (OutArcIt e(_graph, _source); e != INVALID; ++e) {
|
| 450 | 452 |
if (_tolerance.positive((*_capacity)[e])) {
|
| 451 | 453 |
Node u = _graph.target(e); |
| 452 | 454 |
if ((*_level)[u] == _level->maxLevel()) continue; |
| 453 | 455 |
_flow->set(e, (*_capacity)[e]); |
| 454 | 456 |
(*_excess)[u] += (*_capacity)[e]; |
| 455 | 457 |
if (u != _target && !_level->active(u)) {
|
| 456 | 458 |
_level->activate(u); |
| 457 | 459 |
} |
| 458 | 460 |
} |
| 459 | 461 |
} |
| 460 | 462 |
} |
| 461 | 463 |
|
| 462 | 464 |
/// \brief Initializes the internal data structures using the |
| 463 | 465 |
/// given flow map. |
| 464 | 466 |
/// |
| 465 | 467 |
/// Initializes the internal data structures and sets the initial |
| 466 | 468 |
/// flow to the given \c flowMap. The \c flowMap should contain a |
| 467 | 469 |
/// flow or at least a preflow, i.e. at each node excluding the |
| 468 | 470 |
/// source node the incoming flow should greater or equal to the |
| 469 | 471 |
/// outgoing flow. |
| 470 | 472 |
/// \return \c false if the given \c flowMap is not a preflow. |
| 471 | 473 |
template <typename FlowMap> |
| 472 | 474 |
bool init(const FlowMap& flowMap) {
|
| 473 | 475 |
createStructures(); |
| 474 | 476 |
|
| 475 | 477 |
for (ArcIt e(_graph); e != INVALID; ++e) {
|
| 476 | 478 |
_flow->set(e, flowMap[e]); |
| 477 | 479 |
} |
| 478 | 480 |
|
| 479 | 481 |
for (NodeIt n(_graph); n != INVALID; ++n) {
|
| 480 | 482 |
Value excess = 0; |
| 481 | 483 |
for (InArcIt e(_graph, n); e != INVALID; ++e) {
|
| 482 | 484 |
excess += (*_flow)[e]; |
| 483 | 485 |
} |
| 484 | 486 |
for (OutArcIt e(_graph, n); e != INVALID; ++e) {
|
| 485 | 487 |
excess -= (*_flow)[e]; |
| 486 | 488 |
} |
| 487 | 489 |
if (excess < 0 && n != _source) return false; |
| 488 | 490 |
(*_excess)[n] = excess; |
| 489 | 491 |
} |
| 490 | 492 |
|
| 491 | 493 |
typename Digraph::template NodeMap<bool> reached(_graph, false); |
| 492 | 494 |
|
| 493 | 495 |
_level->initStart(); |
| 494 | 496 |
_level->initAddItem(_target); |
| 495 | 497 |
|
| 496 | 498 |
std::vector<Node> queue; |
| 497 | 499 |
reached[_source] = true; |
| 498 | 500 |
|
| 499 | 501 |
queue.push_back(_target); |
| 500 | 502 |
reached[_target] = true; |
| 501 | 503 |
while (!queue.empty()) {
|
| 502 | 504 |
_level->initNewLevel(); |
| 503 | 505 |
std::vector<Node> nqueue; |
| 504 | 506 |
for (int i = 0; i < int(queue.size()); ++i) {
|
| 505 | 507 |
Node n = queue[i]; |
| 506 | 508 |
for (InArcIt e(_graph, n); e != INVALID; ++e) {
|
| 507 | 509 |
Node u = _graph.source(e); |
| 508 | 510 |
if (!reached[u] && |
| 509 | 511 |
_tolerance.positive((*_capacity)[e] - (*_flow)[e])) {
|
| 510 | 512 |
reached[u] = true; |
| 511 | 513 |
_level->initAddItem(u); |
| 512 | 514 |
nqueue.push_back(u); |
| 513 | 515 |
} |
| 514 | 516 |
} |
| 515 | 517 |
for (OutArcIt e(_graph, n); e != INVALID; ++e) {
|
| 516 | 518 |
Node v = _graph.target(e); |
| 517 | 519 |
if (!reached[v] && _tolerance.positive((*_flow)[e])) {
|
| 518 | 520 |
reached[v] = true; |
| 519 | 521 |
_level->initAddItem(v); |
| 520 | 522 |
nqueue.push_back(v); |
| 521 | 523 |
} |
| 522 | 524 |
} |
| 523 | 525 |
} |
| 524 | 526 |
queue.swap(nqueue); |
| 525 | 527 |
} |
| 526 | 528 |
_level->initFinish(); |
| 527 | 529 |
|
| 528 | 530 |
for (OutArcIt e(_graph, _source); e != INVALID; ++e) {
|
| 529 | 531 |
Value rem = (*_capacity)[e] - (*_flow)[e]; |
| 530 | 532 |
if (_tolerance.positive(rem)) {
|
| 531 | 533 |
Node u = _graph.target(e); |
| 532 | 534 |
if ((*_level)[u] == _level->maxLevel()) continue; |
| 533 | 535 |
_flow->set(e, (*_capacity)[e]); |
| 534 | 536 |
(*_excess)[u] += rem; |
| 535 | 537 |
if (u != _target && !_level->active(u)) {
|
| 536 | 538 |
_level->activate(u); |
| 537 | 539 |
} |
| 538 | 540 |
} |
| 539 | 541 |
} |
| 540 | 542 |
for (InArcIt e(_graph, _source); e != INVALID; ++e) {
|
| 541 | 543 |
Value rem = (*_flow)[e]; |
| 542 | 544 |
if (_tolerance.positive(rem)) {
|
| 543 | 545 |
Node v = _graph.source(e); |
| 544 | 546 |
if ((*_level)[v] == _level->maxLevel()) continue; |
| 545 | 547 |
_flow->set(e, 0); |
| 546 | 548 |
(*_excess)[v] += rem; |
| 547 | 549 |
if (v != _target && !_level->active(v)) {
|
| 548 | 550 |
_level->activate(v); |
| 549 | 551 |
} |
| 550 | 552 |
} |
| 551 | 553 |
} |
| 552 | 554 |
return true; |
| 553 | 555 |
} |
| 554 | 556 |
|
| 555 | 557 |
/// \brief Starts the first phase of the preflow algorithm. |
| 556 | 558 |
/// |
| 557 | 559 |
/// The preflow algorithm consists of two phases, this method runs |
| 558 | 560 |
/// the first phase. After the first phase the maximum flow value |
| 559 | 561 |
/// and a minimum value cut can already be computed, although a |
| 560 | 562 |
/// maximum flow is not yet obtained. So after calling this method |
| 561 | 563 |
/// \ref flowValue() returns the value of a maximum flow and \ref |
| 562 | 564 |
/// minCut() returns a minimum cut. |
| 563 | 565 |
/// \pre One of the \ref init() functions must be called before |
| 564 | 566 |
/// using this function. |
| 565 | 567 |
void startFirstPhase() {
|
| 566 | 568 |
_phase = true; |
| 567 | 569 |
|
| 568 | 570 |
Node n = _level->highestActive(); |
| 569 | 571 |
int level = _level->highestActiveLevel(); |
| 570 | 572 |
while (n != INVALID) {
|
| 571 | 573 |
int num = _node_num; |
| 572 | 574 |
|
| 573 | 575 |
while (num > 0 && n != INVALID) {
|
| 574 | 576 |
Value excess = (*_excess)[n]; |
| 575 | 577 |
int new_level = _level->maxLevel(); |
| 576 | 578 |
|
| 577 | 579 |
for (OutArcIt e(_graph, n); e != INVALID; ++e) {
|
| 578 | 580 |
Value rem = (*_capacity)[e] - (*_flow)[e]; |
| 579 | 581 |
if (!_tolerance.positive(rem)) continue; |
| 580 | 582 |
Node v = _graph.target(e); |
| 581 | 583 |
if ((*_level)[v] < level) {
|
| 582 | 584 |
if (!_level->active(v) && v != _target) {
|
| 583 | 585 |
_level->activate(v); |
| 584 | 586 |
} |
| 585 | 587 |
if (!_tolerance.less(rem, excess)) {
|
| 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 | 19 |
#ifndef LEMON_RADIX_HEAP_H |
| 20 | 20 |
#define LEMON_RADIX_HEAP_H |
| 21 | 21 |
|
| 22 |
///\ingroup |
|
| 22 |
///\ingroup heaps |
|
| 23 | 23 |
///\file |
| 24 |
///\brief Radix |
|
| 24 |
///\brief Radix heap implementation. |
|
| 25 | 25 |
|
| 26 | 26 |
#include <vector> |
| 27 | 27 |
#include <lemon/error.h> |
| 28 | 28 |
|
| 29 | 29 |
namespace lemon {
|
| 30 | 30 |
|
| 31 | 31 |
|
| 32 |
/// \ingroup |
|
| 32 |
/// \ingroup heaps |
|
| 33 | 33 |
/// |
| 34 |
/// \brief |
|
| 34 |
/// \brief Radix heap data structure. |
|
| 35 | 35 |
/// |
| 36 |
/// This class implements the \e radix \e heap data structure. A \e heap |
|
| 37 |
/// is a data structure for storing items with specified values called \e |
|
| 38 |
/// priorities in such a way that finding the item with minimum priority is |
|
| 39 |
/// efficient. This heap type can store only items with \e int priority. |
|
| 40 |
/// In a heap one can change the priority of an item, add or erase an |
|
| 41 |
/// item, but the priority cannot be decreased under the last removed |
|
| 42 |
/// |
|
| 36 |
/// This class implements the \e radix \e heap data structure. |
|
| 37 |
/// It practically conforms to the \ref concepts::Heap "heap concept", |
|
| 38 |
/// but it has some limitations due its special implementation. |
|
| 39 |
/// The type of the priorities must be \c int and the priority of an |
|
| 40 |
/// item cannot be decreased under the priority of the last removed item. |
|
| 43 | 41 |
/// |
| 44 |
/// \param IM A read and writable Item int map, used internally |
|
| 45 |
/// to handle the cross references. |
|
| 46 |
/// |
|
| 47 |
/// \see BinHeap |
|
| 48 |
/// \ |
|
| 42 |
/// \tparam IM A read-writable item map with \c int values, used |
|
| 43 |
/// internally to handle the cross references. |
|
| 49 | 44 |
template <typename IM> |
| 50 | 45 |
class RadixHeap {
|
| 51 | 46 |
|
| 52 | 47 |
public: |
| 53 |
|
|
| 48 |
|
|
| 49 |
/// Type of the item-int map. |
|
| 50 |
typedef IM ItemIntMap; |
|
| 51 |
/// Type of the priorities. |
|
| 54 | 52 |
typedef int Prio; |
| 55 |
|
|
| 53 |
/// Type of the items stored in the heap. |
|
| 54 |
typedef typename ItemIntMap::Key Item; |
|
| 56 | 55 |
|
| 57 | 56 |
/// \brief Exception thrown by RadixHeap. |
| 58 | 57 |
/// |
| 59 |
/// This Exception is thrown when a smaller priority |
|
| 60 |
/// is inserted into the \e RadixHeap then the last time erased. |
|
| 58 |
/// This exception is thrown when an item is inserted into a |
|
| 59 |
/// RadixHeap with a priority smaller than the last erased one. |
|
| 61 | 60 |
/// \see RadixHeap |
| 62 |
|
|
| 63 |
class UnderFlowPriorityError : public Exception {
|
|
| 61 |
class PriorityUnderflowError : public Exception {
|
|
| 64 | 62 |
public: |
| 65 | 63 |
virtual const char* what() const throw() {
|
| 66 |
return "lemon::RadixHeap:: |
|
| 64 |
return "lemon::RadixHeap::PriorityUnderflowError"; |
|
| 67 | 65 |
} |
| 68 | 66 |
}; |
| 69 | 67 |
|
| 70 |
/// \brief Type to represent the |
|
| 68 |
/// \brief Type to represent the states of the items. |
|
| 71 | 69 |
/// |
| 72 |
/// Each Item element have a state associated to it. It may be "in heap", |
|
| 73 |
/// "pre heap" or "post heap". The latter two are indifferent from the |
|
| 70 |
/// Each item has a state associated to it. It can be "in heap", |
|
| 71 |
/// "pre-heap" or "post-heap". The latter two are indifferent from the |
|
| 74 | 72 |
/// heap's point of view, but may be useful to the user. |
| 75 | 73 |
/// |
| 76 |
/// The ItemIntMap \e should be initialized in such way that it maps |
|
| 77 |
/// PRE_HEAP (-1) to any element to be put in the heap... |
|
| 74 |
/// The item-int map must be initialized in such way that it assigns |
|
| 75 |
/// \c PRE_HEAP (<tt>-1</tt>) to any element to be put in the heap. |
|
| 78 | 76 |
enum State {
|
| 79 |
IN_HEAP = 0, |
|
| 80 |
PRE_HEAP = -1, |
|
| 81 |
|
|
| 77 |
IN_HEAP = 0, ///< = 0. |
|
| 78 |
PRE_HEAP = -1, ///< = -1. |
|
| 79 |
POST_HEAP = -2 ///< = -2. |
|
| 82 | 80 |
}; |
| 83 | 81 |
|
| 84 | 82 |
private: |
| 85 | 83 |
|
| 86 | 84 |
struct RadixItem {
|
| 87 | 85 |
int prev, next, box; |
| 88 | 86 |
Item item; |
| 89 | 87 |
int prio; |
| 90 | 88 |
RadixItem(Item _item, int _prio) : item(_item), prio(_prio) {}
|
| 91 | 89 |
}; |
| 92 | 90 |
|
| 93 | 91 |
struct RadixBox {
|
| 94 | 92 |
int first; |
| 95 | 93 |
int min, size; |
| 96 | 94 |
RadixBox(int _min, int _size) : first(-1), min(_min), size(_size) {}
|
| 97 | 95 |
}; |
| 98 | 96 |
|
| 99 |
std::vector<RadixItem> data; |
|
| 100 |
std::vector<RadixBox> boxes; |
|
| 97 |
std::vector<RadixItem> _data; |
|
| 98 |
std::vector<RadixBox> _boxes; |
|
| 101 | 99 |
|
| 102 | 100 |
ItemIntMap &_iim; |
| 103 | 101 |
|
| 102 |
public: |
|
| 104 | 103 |
|
| 105 |
public: |
|
| 106 |
/// \brief The constructor. |
|
| 104 |
/// \brief Constructor. |
|
| 107 | 105 |
/// |
| 108 |
/// The constructor. |
|
| 109 |
/// |
|
| 110 |
/// \param map It should be given to the constructor, since it is used |
|
| 111 |
/// internally to handle the cross references. The value of the map |
|
| 112 |
/// should be PRE_HEAP (-1) for each element. |
|
| 113 |
/// |
|
| 114 |
/// \param minimal The initial minimal value of the heap. |
|
| 115 |
/// \param capacity It determines the initial capacity of the heap. |
|
| 116 |
RadixHeap(ItemIntMap &map, int minimal = 0, int capacity = 0) |
|
| 117 |
: _iim(map) {
|
|
| 118 |
boxes.push_back(RadixBox(minimal, 1)); |
|
| 119 |
boxes.push_back(RadixBox(minimal + 1, 1)); |
|
| 120 |
|
|
| 106 |
/// Constructor. |
|
| 107 |
/// \param map A map that assigns \c int values to the items. |
|
| 108 |
/// It is used internally to handle the cross references. |
|
| 109 |
/// The assigned value must be \c PRE_HEAP (<tt>-1</tt>) for each item. |
|
| 110 |
/// \param minimum The initial minimum value of the heap. |
|
| 111 |
/// \param capacity The initial capacity of the heap. |
|
| 112 |
RadixHeap(ItemIntMap &map, int minimum = 0, int capacity = 0) |
|
| 113 |
: _iim(map) |
|
| 114 |
{
|
|
| 115 |
_boxes.push_back(RadixBox(minimum, 1)); |
|
| 116 |
_boxes.push_back(RadixBox(minimum + 1, 1)); |
|
| 117 |
while (lower(_boxes.size() - 1, capacity + minimum - 1)) {
|
|
| 121 | 118 |
extend(); |
| 122 | 119 |
} |
| 123 | 120 |
} |
| 124 | 121 |
|
| 125 |
/// The number of items stored in the heap. |
|
| 122 |
/// \brief The number of items stored in the heap. |
|
| 126 | 123 |
/// |
| 127 |
/// \brief Returns the number of items stored in the heap. |
|
| 128 |
int size() const { return data.size(); }
|
|
| 129 |
/// |
|
| 124 |
/// This function returns the number of items stored in the heap. |
|
| 125 |
int size() const { return _data.size(); }
|
|
| 126 |
|
|
| 127 |
/// \brief Check if the heap is empty. |
|
| 130 | 128 |
/// |
| 131 |
/// Returns \c true if and only if the heap stores no items. |
|
| 132 |
bool empty() const { return data.empty(); }
|
|
| 129 |
/// This function returns \c true if the heap is empty. |
|
| 130 |
bool empty() const { return _data.empty(); }
|
|
| 133 | 131 |
|
| 134 |
/// \brief Make |
|
| 132 |
/// \brief Make the heap empty. |
|
| 135 | 133 |
/// |
| 136 |
/// Make empty this heap. It does not change the cross reference |
|
| 137 |
/// map. If you want to reuse a heap what is not surely empty you |
|
| 138 |
/// should first clear the heap and after that you should set the |
|
| 139 |
/// cross reference map for each item to \c PRE_HEAP. |
|
| 140 |
void clear(int minimal = 0, int capacity = 0) {
|
|
| 141 |
data.clear(); boxes.clear(); |
|
| 142 |
boxes.push_back(RadixBox(minimal, 1)); |
|
| 143 |
boxes.push_back(RadixBox(minimal + 1, 1)); |
|
| 144 |
|
|
| 134 |
/// This functon makes the heap empty. |
|
| 135 |
/// It does not change the cross reference map. If you want to reuse |
|
| 136 |
/// a heap that is not surely empty, you should first clear it and |
|
| 137 |
/// then you should set the cross reference map to \c PRE_HEAP |
|
| 138 |
/// for each item. |
|
| 139 |
/// \param minimum The minimum value of the heap. |
|
| 140 |
/// \param capacity The capacity of the heap. |
|
| 141 |
void clear(int minimum = 0, int capacity = 0) {
|
|
| 142 |
_data.clear(); _boxes.clear(); |
|
| 143 |
_boxes.push_back(RadixBox(minimum, 1)); |
|
| 144 |
_boxes.push_back(RadixBox(minimum + 1, 1)); |
|
| 145 |
while (lower(_boxes.size() - 1, capacity + minimum - 1)) {
|
|
| 145 | 146 |
extend(); |
| 146 | 147 |
} |
| 147 | 148 |
} |
| 148 | 149 |
|
| 149 | 150 |
private: |
| 150 | 151 |
|
| 151 | 152 |
bool upper(int box, Prio pr) {
|
| 152 |
return pr < |
|
| 153 |
return pr < _boxes[box].min; |
|
| 153 | 154 |
} |
| 154 | 155 |
|
| 155 | 156 |
bool lower(int box, Prio pr) {
|
| 156 |
return pr >= |
|
| 157 |
return pr >= _boxes[box].min + _boxes[box].size; |
|
| 157 | 158 |
} |
| 158 | 159 |
|
| 159 |
// |
|
| 160 |
// Remove item from the box list |
|
| 160 | 161 |
void remove(int index) {
|
| 161 |
if (data[index].prev >= 0) {
|
|
| 162 |
data[data[index].prev].next = data[index].next; |
|
| 162 |
if (_data[index].prev >= 0) {
|
|
| 163 |
_data[_data[index].prev].next = _data[index].next; |
|
| 163 | 164 |
} else {
|
| 164 |
|
|
| 165 |
_boxes[_data[index].box].first = _data[index].next; |
|
| 165 | 166 |
} |
| 166 |
if (data[index].next >= 0) {
|
|
| 167 |
data[data[index].next].prev = data[index].prev; |
|
| 167 |
if (_data[index].next >= 0) {
|
|
| 168 |
_data[_data[index].next].prev = _data[index].prev; |
|
| 168 | 169 |
} |
| 169 | 170 |
} |
| 170 | 171 |
|
| 171 |
// |
|
| 172 |
// Insert item into the box list |
|
| 172 | 173 |
void insert(int box, int index) {
|
| 173 |
if (boxes[box].first == -1) {
|
|
| 174 |
boxes[box].first = index; |
|
| 175 |
|
|
| 174 |
if (_boxes[box].first == -1) {
|
|
| 175 |
_boxes[box].first = index; |
|
| 176 |
_data[index].next = _data[index].prev = -1; |
|
| 176 | 177 |
} else {
|
| 177 |
data[index].next = boxes[box].first; |
|
| 178 |
data[boxes[box].first].prev = index; |
|
| 179 |
data[index].prev = -1; |
|
| 180 |
boxes[box].first = index; |
|
| 178 |
_data[index].next = _boxes[box].first; |
|
| 179 |
_data[_boxes[box].first].prev = index; |
|
| 180 |
_data[index].prev = -1; |
|
| 181 |
_boxes[box].first = index; |
|
| 181 | 182 |
} |
| 182 |
|
|
| 183 |
_data[index].box = box; |
|
| 183 | 184 |
} |
| 184 | 185 |
|
| 185 |
// |
|
| 186 |
// Add a new box to the box list |
|
| 186 | 187 |
void extend() {
|
| 187 |
int min = boxes.back().min + boxes.back().size; |
|
| 188 |
int bs = 2 * boxes.back().size; |
|
| 189 |
|
|
| 188 |
int min = _boxes.back().min + _boxes.back().size; |
|
| 189 |
int bs = 2 * _boxes.back().size; |
|
| 190 |
_boxes.push_back(RadixBox(min, bs)); |
|
| 190 | 191 |
} |
| 191 | 192 |
|
| 192 |
/// \brief Move an item up into the proper box. |
|
| 193 |
void bubble_up(int index) {
|
|
| 194 |
|
|
| 193 |
// Move an item up into the proper box. |
|
| 194 |
void bubbleUp(int index) {
|
|
| 195 |
if (!lower(_data[index].box, _data[index].prio)) return; |
|
| 195 | 196 |
remove(index); |
| 196 |
int box = findUp( |
|
| 197 |
int box = findUp(_data[index].box, _data[index].prio); |
|
| 197 | 198 |
insert(box, index); |
| 198 | 199 |
} |
| 199 | 200 |
|
| 200 |
// |
|
| 201 |
// Find up the proper box for the item with the given priority |
|
| 201 | 202 |
int findUp(int start, int pr) {
|
| 202 | 203 |
while (lower(start, pr)) {
|
| 203 |
if (++start == int( |
|
| 204 |
if (++start == int(_boxes.size())) {
|
|
| 204 | 205 |
extend(); |
| 205 | 206 |
} |
| 206 | 207 |
} |
| 207 | 208 |
return start; |
| 208 | 209 |
} |
| 209 | 210 |
|
| 210 |
/// \brief Move an item down into the proper box. |
|
| 211 |
void bubble_down(int index) {
|
|
| 212 |
|
|
| 211 |
// Move an item down into the proper box |
|
| 212 |
void bubbleDown(int index) {
|
|
| 213 |
if (!upper(_data[index].box, _data[index].prio)) return; |
|
| 213 | 214 |
remove(index); |
| 214 |
int box = findDown( |
|
| 215 |
int box = findDown(_data[index].box, _data[index].prio); |
|
| 215 | 216 |
insert(box, index); |
| 216 | 217 |
} |
| 217 | 218 |
|
| 218 |
// |
|
| 219 |
// Find down the proper box for the item with the given priority |
|
| 219 | 220 |
int findDown(int start, int pr) {
|
| 220 | 221 |
while (upper(start, pr)) {
|
| 221 |
if (--start < 0) throw |
|
| 222 |
if (--start < 0) throw PriorityUnderflowError(); |
|
| 222 | 223 |
} |
| 223 | 224 |
return start; |
| 224 | 225 |
} |
| 225 | 226 |
|
| 226 |
// |
|
| 227 |
// Find the first non-empty box |
|
| 227 | 228 |
int findFirst() {
|
| 228 | 229 |
int first = 0; |
| 229 |
while ( |
|
| 230 |
while (_boxes[first].first == -1) ++first; |
|
| 230 | 231 |
return first; |
| 231 | 232 |
} |
| 232 | 233 |
|
| 233 |
// |
|
| 234 |
// Gives back the minimum priority of the given box |
|
| 234 | 235 |
int minValue(int box) {
|
| 235 |
int min = data[boxes[box].first].prio; |
|
| 236 |
for (int k = boxes[box].first; k != -1; k = data[k].next) {
|
|
| 237 |
|
|
| 236 |
int min = _data[_boxes[box].first].prio; |
|
| 237 |
for (int k = _boxes[box].first; k != -1; k = _data[k].next) {
|
|
| 238 |
if (_data[k].prio < min) min = _data[k].prio; |
|
| 238 | 239 |
} |
| 239 | 240 |
return min; |
| 240 | 241 |
} |
| 241 | 242 |
|
| 242 |
/// \brief Rearrange the items of the heap and makes the |
|
| 243 |
/// first box not empty. |
|
| 243 |
// Rearrange the items of the heap and make the first box non-empty |
|
| 244 | 244 |
void moveDown() {
|
| 245 | 245 |
int box = findFirst(); |
| 246 | 246 |
if (box == 0) return; |
| 247 | 247 |
int min = minValue(box); |
| 248 | 248 |
for (int i = 0; i <= box; ++i) {
|
| 249 |
boxes[i].min = min; |
|
| 250 |
min += boxes[i].size; |
|
| 249 |
_boxes[i].min = min; |
|
| 250 |
min += _boxes[i].size; |
|
| 251 | 251 |
} |
| 252 |
int curr = |
|
| 252 |
int curr = _boxes[box].first, next; |
|
| 253 | 253 |
while (curr != -1) {
|
| 254 |
next = data[curr].next; |
|
| 255 |
bubble_down(curr); |
|
| 254 |
next = _data[curr].next; |
|
| 255 |
bubbleDown(curr); |
|
| 256 | 256 |
curr = next; |
| 257 | 257 |
} |
| 258 | 258 |
} |
| 259 | 259 |
|
| 260 |
void relocate_last(int index) {
|
|
| 261 |
if (index != int(data.size()) - 1) {
|
|
| 262 |
data[index] = data.back(); |
|
| 263 |
if (data[index].prev != -1) {
|
|
| 264 |
|
|
| 260 |
void relocateLast(int index) {
|
|
| 261 |
if (index != int(_data.size()) - 1) {
|
|
| 262 |
_data[index] = _data.back(); |
|
| 263 |
if (_data[index].prev != -1) {
|
|
| 264 |
_data[_data[index].prev].next = index; |
|
| 265 | 265 |
} else {
|
| 266 |
|
|
| 266 |
_boxes[_data[index].box].first = index; |
|
| 267 | 267 |
} |
| 268 |
if (data[index].next != -1) {
|
|
| 269 |
data[data[index].next].prev = index; |
|
| 268 |
if (_data[index].next != -1) {
|
|
| 269 |
_data[_data[index].next].prev = index; |
|
| 270 | 270 |
} |
| 271 |
_iim[ |
|
| 271 |
_iim[_data[index].item] = index; |
|
| 272 | 272 |
} |
| 273 |
|
|
| 273 |
_data.pop_back(); |
|
| 274 | 274 |
} |
| 275 | 275 |
|
| 276 | 276 |
public: |
| 277 | 277 |
|
| 278 | 278 |
/// \brief Insert an item into the heap with the given priority. |
| 279 | 279 |
/// |
| 280 |
/// |
|
| 280 |
/// This function inserts the given item into the heap with the |
|
| 281 |
/// given priority. |
|
| 281 | 282 |
/// \param i The item to insert. |
| 282 | 283 |
/// \param p The priority of the item. |
| 284 |
/// \pre \e i must not be stored in the heap. |
|
| 285 |
/// \warning This method may throw an \c UnderFlowPriorityException. |
|
| 283 | 286 |
void push(const Item &i, const Prio &p) {
|
| 284 |
int n = |
|
| 287 |
int n = _data.size(); |
|
| 285 | 288 |
_iim.set(i, n); |
| 286 |
data.push_back(RadixItem(i, p)); |
|
| 287 |
while (lower(boxes.size() - 1, p)) {
|
|
| 289 |
_data.push_back(RadixItem(i, p)); |
|
| 290 |
while (lower(_boxes.size() - 1, p)) {
|
|
| 288 | 291 |
extend(); |
| 289 | 292 |
} |
| 290 |
int box = findDown( |
|
| 293 |
int box = findDown(_boxes.size() - 1, p); |
|
| 291 | 294 |
insert(box, n); |
| 292 | 295 |
} |
| 293 | 296 |
|
| 294 |
/// \brief |
|
| 297 |
/// \brief Return the item having minimum priority. |
|
| 295 | 298 |
/// |
| 296 |
/// This method returns the item with minimum priority. |
|
| 297 |
/// \pre The heap must be nonempty. |
|
| 299 |
/// This function returns the item having minimum priority. |
|
| 300 |
/// \pre The heap must be non-empty. |
|
| 298 | 301 |
Item top() const {
|
| 299 | 302 |
const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown(); |
| 300 |
return |
|
| 303 |
return _data[_boxes[0].first].item; |
|
| 301 | 304 |
} |
| 302 | 305 |
|
| 303 |
/// \brief |
|
| 306 |
/// \brief The minimum priority. |
|
| 304 | 307 |
/// |
| 305 |
/// It returns the minimum priority. |
|
| 306 |
/// \pre The heap must be nonempty. |
|
| 308 |
/// This function returns the minimum priority. |
|
| 309 |
/// \pre The heap must be non-empty. |
|
| 307 | 310 |
Prio prio() const {
|
| 308 | 311 |
const_cast<RadixHeap<ItemIntMap>&>(*this).moveDown(); |
| 309 |
return |
|
| 312 |
return _data[_boxes[0].first].prio; |
|
| 310 | 313 |
} |
| 311 | 314 |
|
| 312 |
/// \brief |
|
| 315 |
/// \brief Remove the item having minimum priority. |
|
| 313 | 316 |
/// |
| 314 |
/// This |
|
| 317 |
/// This function removes the item having minimum priority. |
|
| 315 | 318 |
/// \pre The heap must be non-empty. |
| 316 | 319 |
void pop() {
|
| 317 | 320 |
moveDown(); |
| 318 |
int index = boxes[0].first; |
|
| 319 |
_iim[data[index].item] = POST_HEAP; |
|
| 321 |
int index = _boxes[0].first; |
|
| 322 |
_iim[_data[index].item] = POST_HEAP; |
|
| 320 | 323 |
remove(index); |
| 321 |
|
|
| 324 |
relocateLast(index); |
|
| 322 | 325 |
} |
| 323 | 326 |
|
| 324 |
/// \brief |
|
| 327 |
/// \brief Remove the given item from the heap. |
|
| 325 | 328 |
/// |
| 326 |
/// This method deletes item \c i from the heap, if \c i was |
|
| 327 |
/// already stored in the heap. |
|
| 328 |
/// |
|
| 329 |
/// This function removes the given item from the heap if it is |
|
| 330 |
/// already stored. |
|
| 331 |
/// \param i The item to delete. |
|
| 332 |
/// \pre \e i must be in the heap. |
|
| 329 | 333 |
void erase(const Item &i) {
|
| 330 | 334 |
int index = _iim[i]; |
| 331 | 335 |
_iim[i] = POST_HEAP; |
| 332 | 336 |
remove(index); |
| 333 |
|
|
| 337 |
relocateLast(index); |
|
| 334 | 338 |
} |
| 335 | 339 |
|
| 336 |
/// \brief |
|
| 340 |
/// \brief The priority of the given item. |
|
| 337 | 341 |
/// |
| 338 |
/// This function returns the priority of item \c i. |
|
| 339 |
/// \pre \c i must be in the heap. |
|
| 342 |
/// This function returns the priority of the given item. |
|
| 340 | 343 |
/// \param i The item. |
| 344 |
/// \pre \e i must be in the heap. |
|
| 341 | 345 |
Prio operator[](const Item &i) const {
|
| 342 | 346 |
int idx = _iim[i]; |
| 343 |
return |
|
| 347 |
return _data[idx].prio; |
|
| 344 | 348 |
} |
| 345 | 349 |
|
| 346 |
/// \brief \c i gets to the heap with priority \c p independently |
|
| 347 |
/// if \c i was already there. |
|
| 350 |
/// \brief Set the priority of an item or insert it, if it is |
|
| 351 |
/// not stored in the heap. |
|
| 348 | 352 |
/// |
| 349 |
/// This method calls \ref push(\c i, \c p) if \c i is not stored |
|
| 350 |
/// in the heap and sets the priority of \c i to \c p otherwise. |
|
| 351 |
/// |
|
| 353 |
/// This method sets the priority of the given item if it is |
|
| 354 |
/// already stored in the heap. Otherwise it inserts the given |
|
| 355 |
/// item into the heap with the given priority. |
|
| 352 | 356 |
/// \param i The item. |
| 353 | 357 |
/// \param p The priority. |
| 358 |
/// \pre \e i must be in the heap. |
|
| 359 |
/// \warning This method may throw an \c UnderFlowPriorityException. |
|
| 354 | 360 |
void set(const Item &i, const Prio &p) {
|
| 355 | 361 |
int idx = _iim[i]; |
| 356 | 362 |
if( idx < 0 ) {
|
| 357 | 363 |
push(i, p); |
| 358 | 364 |
} |
| 359 |
else if( p >= data[idx].prio ) {
|
|
| 360 |
data[idx].prio = p; |
|
| 361 |
|
|
| 365 |
else if( p >= _data[idx].prio ) {
|
|
| 366 |
_data[idx].prio = p; |
|
| 367 |
bubbleUp(idx); |
|
| 362 | 368 |
} else {
|
| 363 |
data[idx].prio = p; |
|
| 364 |
bubble_down(idx); |
|
| 369 |
_data[idx].prio = p; |
|
| 370 |
bubbleDown(idx); |
|
| 365 | 371 |
} |
| 366 | 372 |
} |
| 367 | 373 |
|
| 368 |
|
|
| 369 |
/// \brief Decreases the priority of \c i to \c p. |
|
| 374 |
/// \brief Decrease the priority of an item to the given value. |
|
| 370 | 375 |
/// |
| 371 |
/// This method decreases the priority of item \c i to \c p. |
|
| 372 |
/// \pre \c i must be stored in the heap with priority at least \c p, and |
|
| 373 |
/// |
|
| 376 |
/// This function decreases the priority of an item to the given value. |
|
| 374 | 377 |
/// \param i The item. |
| 375 | 378 |
/// \param p The priority. |
| 379 |
/// \pre \e i must be stored in the heap with priority at least \e p. |
|
| 380 |
/// \warning This method may throw an \c UnderFlowPriorityException. |
|
| 376 | 381 |
void decrease(const Item &i, const Prio &p) {
|
| 377 | 382 |
int idx = _iim[i]; |
| 378 |
data[idx].prio = p; |
|
| 379 |
bubble_down(idx); |
|
| 383 |
_data[idx].prio = p; |
|
| 384 |
bubbleDown(idx); |
|
| 380 | 385 |
} |
| 381 | 386 |
|
| 382 |
/// \brief |
|
| 387 |
/// \brief Increase the priority of an item to the given value. |
|
| 383 | 388 |
/// |
| 384 |
/// This method sets the priority of item \c i to \c p. |
|
| 385 |
/// \pre \c i must be stored in the heap with priority at most \c p |
|
| 389 |
/// This function increases the priority of an item to the given value. |
|
| 386 | 390 |
/// \param i The item. |
| 387 | 391 |
/// \param p The priority. |
| 392 |
/// \pre \e i must be stored in the heap with priority at most \e p. |
|
| 388 | 393 |
void increase(const Item &i, const Prio &p) {
|
| 389 | 394 |
int idx = _iim[i]; |
| 390 |
data[idx].prio = p; |
|
| 391 |
bubble_up(idx); |
|
| 395 |
_data[idx].prio = p; |
|
| 396 |
bubbleUp(idx); |
|
| 392 | 397 |
} |
| 393 | 398 |
|
| 394 |
/// \brief Returns if \c item is in, has already been in, or has |
|
| 395 |
/// never been in the heap. |
|
| 399 |
/// \brief Return the state of an item. |
|
| 396 | 400 |
/// |
| 397 |
/// This method returns PRE_HEAP if \c item has never been in the |
|
| 398 |
/// heap, IN_HEAP if it is in the heap at the moment, and POST_HEAP |
|
| 399 |
/// otherwise. In the latter case it is possible that \c item will |
|
| 400 |
/// get back to the heap again. |
|
| 401 |
/// This method returns \c PRE_HEAP if the given item has never |
|
| 402 |
/// been in the heap, \c IN_HEAP if it is in the heap at the moment, |
|
| 403 |
/// and \c POST_HEAP otherwise. |
|
| 404 |
/// In the latter case it is possible that the item will get back |
|
| 405 |
/// to the heap again. |
|
| 401 | 406 |
/// \param i The item. |
| 402 | 407 |
State state(const Item &i) const {
|
| 403 | 408 |
int s = _iim[i]; |
| 404 | 409 |
if( s >= 0 ) s = 0; |
| 405 | 410 |
return State(s); |
| 406 | 411 |
} |
| 407 | 412 |
|
| 408 |
/// \brief |
|
| 413 |
/// \brief Set the state of an item in the heap. |
|
| 409 | 414 |
/// |
| 410 |
/// Sets the state of the \c item in the heap. It can be used to |
|
| 411 |
/// manually clear the heap when it is important to achive the |
|
| 412 |
/// |
|
| 415 |
/// This function sets the state of the given item in the heap. |
|
| 416 |
/// It can be used to manually clear the heap when it is important |
|
| 417 |
/// to achive better time complexity. |
|
| 413 | 418 |
/// \param i The item. |
| 414 | 419 |
/// \param st The state. It should not be \c IN_HEAP. |
| 415 | 420 |
void state(const Item& i, State st) {
|
| 416 | 421 |
switch (st) {
|
| 417 | 422 |
case POST_HEAP: |
| 418 | 423 |
case PRE_HEAP: |
| 419 | 424 |
if (state(i) == IN_HEAP) {
|
| 420 | 425 |
erase(i); |
| 421 | 426 |
} |
| 422 | 427 |
_iim[i] = st; |
| 423 | 428 |
break; |
| 424 | 429 |
case IN_HEAP: |
| 425 | 430 |
break; |
| 426 | 431 |
} |
| 427 | 432 |
} |
| 428 | 433 |
|
| 429 | 434 |
}; // class RadixHeap |
| 430 | 435 |
|
| 431 | 436 |
} // namespace lemon |
| 432 | 437 |
|
| 433 | 438 |
#endif // LEMON_RADIX_HEAP_H |
| 1 | 1 |
INCLUDE_DIRECTORIES( |
| 2 | 2 |
${PROJECT_SOURCE_DIR}
|
| 3 | 3 |
${PROJECT_BINARY_DIR}
|
| 4 | 4 |
) |
| 5 | 5 |
|
| 6 | 6 |
LINK_DIRECTORIES( |
| 7 | 7 |
${PROJECT_BINARY_DIR}/lemon
|
| 8 | 8 |
) |
| 9 | 9 |
|
| 10 | 10 |
SET(TESTS |
| 11 | 11 |
adaptors_test |
| 12 |
bellman_ford_test |
|
| 12 | 13 |
bfs_test |
| 13 | 14 |
circulation_test |
| 14 | 15 |
connectivity_test |
| 15 | 16 |
counter_test |
| 16 | 17 |
dfs_test |
| 17 | 18 |
digraph_test |
| 18 | 19 |
dijkstra_test |
| 19 | 20 |
dim_test |
| 20 | 21 |
edge_set_test |
| 21 | 22 |
error_test |
| 22 | 23 |
euler_test |
| 23 | 24 |
gomory_hu_test |
| 24 | 25 |
graph_copy_test |
| 25 | 26 |
graph_test |
| 26 | 27 |
graph_utils_test |
| 27 | 28 |
hao_orlin_test |
| 28 | 29 |
heap_test |
| 29 | 30 |
kruskal_test |
| 30 | 31 |
maps_test |
| 31 | 32 |
matching_test |
| 32 | 33 |
min_cost_arborescence_test |
| 33 | 34 |
min_cost_flow_test |
| 34 | 35 |
path_test |
| 35 | 36 |
preflow_test |
| 36 | 37 |
radix_sort_test |
| 37 | 38 |
random_test |
| 38 | 39 |
suurballe_test |
| 39 | 40 |
time_measure_test |
| 40 | 41 |
unionfind_test |
| 41 | 42 |
) |
| 42 | 43 |
|
| 43 | 44 |
IF(LEMON_HAVE_LP) |
| 44 | 45 |
ADD_EXECUTABLE(lp_test lp_test.cc) |
| 45 | 46 |
SET(LP_TEST_LIBS lemon) |
| 46 | 47 |
|
| 47 | 48 |
IF(LEMON_HAVE_GLPK) |
| 48 | 49 |
SET(LP_TEST_LIBS ${LP_TEST_LIBS} ${GLPK_LIBRARIES})
|
| 49 | 50 |
ENDIF() |
| 50 | 51 |
IF(LEMON_HAVE_CPLEX) |
| 51 | 52 |
SET(LP_TEST_LIBS ${LP_TEST_LIBS} ${CPLEX_LIBRARIES})
|
| 52 | 53 |
ENDIF() |
| 53 | 54 |
IF(LEMON_HAVE_CLP) |
| 54 | 55 |
SET(LP_TEST_LIBS ${LP_TEST_LIBS} ${COIN_CLP_LIBRARIES})
|
| 55 | 56 |
ENDIF() |
| 56 | 57 |
|
| 57 | 58 |
TARGET_LINK_LIBRARIES(lp_test ${LP_TEST_LIBS})
|
| 58 | 59 |
ADD_TEST(lp_test lp_test) |
| 59 | 60 |
|
| 60 | 61 |
IF(WIN32 AND LEMON_HAVE_GLPK) |
| 61 | 62 |
GET_TARGET_PROPERTY(TARGET_LOC lp_test LOCATION) |
| 62 | 63 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
| 63 | 64 |
ADD_CUSTOM_COMMAND(TARGET lp_test POST_BUILD |
| 64 | 65 |
COMMAND ${CMAKE_COMMAND} -E copy ${GLPK_BIN_DIR}/glpk.dll ${TARGET_PATH}
|
| 65 | 66 |
COMMAND ${CMAKE_COMMAND} -E copy ${GLPK_BIN_DIR}/libltdl3.dll ${TARGET_PATH}
|
| 66 | 67 |
COMMAND ${CMAKE_COMMAND} -E copy ${GLPK_BIN_DIR}/zlib1.dll ${TARGET_PATH}
|
| 67 | 68 |
) |
| 68 | 69 |
ENDIF() |
| 69 | 70 |
|
| 70 | 71 |
IF(WIN32 AND LEMON_HAVE_CPLEX) |
| 71 | 72 |
GET_TARGET_PROPERTY(TARGET_LOC lp_test LOCATION) |
| 72 | 73 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
| 73 | 74 |
ADD_CUSTOM_COMMAND(TARGET lp_test POST_BUILD |
| 74 | 75 |
COMMAND ${CMAKE_COMMAND} -E copy ${CPLEX_BIN_DIR}/cplex91.dll ${TARGET_PATH}
|
| 75 | 76 |
) |
| 76 | 77 |
ENDIF() |
| 77 | 78 |
ENDIF() |
| 78 | 79 |
|
| 79 | 80 |
IF(LEMON_HAVE_MIP) |
| 80 | 81 |
ADD_EXECUTABLE(mip_test mip_test.cc) |
| 81 | 82 |
SET(MIP_TEST_LIBS lemon) |
| 82 | 83 |
|
| 83 | 84 |
IF(LEMON_HAVE_GLPK) |
| 84 | 85 |
SET(MIP_TEST_LIBS ${MIP_TEST_LIBS} ${GLPK_LIBRARIES})
|
| 85 | 86 |
ENDIF() |
| 86 | 87 |
IF(LEMON_HAVE_CPLEX) |
| 87 | 88 |
SET(MIP_TEST_LIBS ${MIP_TEST_LIBS} ${CPLEX_LIBRARIES})
|
| 88 | 89 |
ENDIF() |
| 89 | 90 |
IF(LEMON_HAVE_CBC) |
| 90 | 91 |
SET(MIP_TEST_LIBS ${MIP_TEST_LIBS} ${COIN_CBC_LIBRARIES})
|
| 91 | 92 |
ENDIF() |
| 92 | 93 |
|
| 93 | 94 |
TARGET_LINK_LIBRARIES(mip_test ${MIP_TEST_LIBS})
|
| 94 | 95 |
ADD_TEST(mip_test mip_test) |
| 95 | 96 |
|
| 96 | 97 |
IF(WIN32 AND LEMON_HAVE_GLPK) |
| 97 | 98 |
GET_TARGET_PROPERTY(TARGET_LOC mip_test LOCATION) |
| 98 | 99 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
| 99 | 100 |
ADD_CUSTOM_COMMAND(TARGET mip_test POST_BUILD |
| 100 | 101 |
COMMAND ${CMAKE_COMMAND} -E copy ${GLPK_BIN_DIR}/glpk.dll ${TARGET_PATH}
|
| 101 | 102 |
COMMAND ${CMAKE_COMMAND} -E copy ${GLPK_BIN_DIR}/libltdl3.dll ${TARGET_PATH}
|
| 102 | 103 |
COMMAND ${CMAKE_COMMAND} -E copy ${GLPK_BIN_DIR}/zlib1.dll ${TARGET_PATH}
|
| 103 | 104 |
) |
| 104 | 105 |
ENDIF() |
| 105 | 106 |
|
| 106 | 107 |
IF(WIN32 AND LEMON_HAVE_CPLEX) |
| 107 | 108 |
GET_TARGET_PROPERTY(TARGET_LOC mip_test LOCATION) |
| 108 | 109 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
| 109 | 110 |
ADD_CUSTOM_COMMAND(TARGET mip_test POST_BUILD |
| 110 | 111 |
COMMAND ${CMAKE_COMMAND} -E copy ${CPLEX_BIN_DIR}/cplex91.dll ${TARGET_PATH}
|
| 111 | 112 |
) |
| 112 | 113 |
ENDIF() |
| 113 | 114 |
ENDIF() |
| 114 | 115 |
|
| 115 | 116 |
FOREACH(TEST_NAME ${TESTS})
|
| 116 | 117 |
ADD_EXECUTABLE(${TEST_NAME} ${TEST_NAME}.cc)
|
| 117 | 118 |
TARGET_LINK_LIBRARIES(${TEST_NAME} lemon)
|
| 118 | 119 |
ADD_TEST(${TEST_NAME} ${TEST_NAME})
|
| 119 | 120 |
ENDFOREACH() |
| 1 | 1 |
EXTRA_DIST += \ |
| 2 | 2 |
test/CMakeLists.txt |
| 3 | 3 |
|
| 4 | 4 |
noinst_HEADERS += \ |
| 5 | 5 |
test/graph_test.h \ |
| 6 | 6 |
test/test_tools.h |
| 7 | 7 |
|
| 8 | 8 |
check_PROGRAMS += \ |
| 9 | 9 |
test/adaptors_test \ |
| 10 |
test/bellman_ford_test \ |
|
| 10 | 11 |
test/bfs_test \ |
| 11 | 12 |
test/circulation_test \ |
| 12 | 13 |
test/connectivity_test \ |
| 13 | 14 |
test/counter_test \ |
| 14 | 15 |
test/dfs_test \ |
| 15 | 16 |
test/digraph_test \ |
| 16 | 17 |
test/dijkstra_test \ |
| 17 | 18 |
test/dim_test \ |
| 18 | 19 |
test/edge_set_test \ |
| 19 | 20 |
test/error_test \ |
| 20 | 21 |
test/euler_test \ |
| 21 | 22 |
test/gomory_hu_test \ |
| 22 | 23 |
test/graph_copy_test \ |
| 23 | 24 |
test/graph_test \ |
| 24 | 25 |
test/graph_utils_test \ |
| 25 | 26 |
test/hao_orlin_test \ |
| 26 | 27 |
test/heap_test \ |
| 27 | 28 |
test/kruskal_test \ |
| 28 | 29 |
test/maps_test \ |
| 29 | 30 |
test/matching_test \ |
| 30 | 31 |
test/min_cost_arborescence_test \ |
| 31 | 32 |
test/min_cost_flow_test \ |
| 32 | 33 |
test/path_test \ |
| 33 | 34 |
test/preflow_test \ |
| 34 | 35 |
test/radix_sort_test \ |
| 35 | 36 |
test/random_test \ |
| 36 | 37 |
test/suurballe_test \ |
| 37 | 38 |
test/test_tools_fail \ |
| 38 | 39 |
test/test_tools_pass \ |
| 39 | 40 |
test/time_measure_test \ |
| 40 | 41 |
test/unionfind_test |
| 41 | 42 |
|
| 42 | 43 |
test_test_tools_pass_DEPENDENCIES = demo |
| 43 | 44 |
|
| 44 | 45 |
if HAVE_LP |
| 45 | 46 |
check_PROGRAMS += test/lp_test |
| 46 | 47 |
endif HAVE_LP |
| 47 | 48 |
if HAVE_MIP |
| 48 | 49 |
check_PROGRAMS += test/mip_test |
| 49 | 50 |
endif HAVE_MIP |
| 50 | 51 |
|
| 51 | 52 |
TESTS += $(check_PROGRAMS) |
| 52 | 53 |
XFAIL_TESTS += test/test_tools_fail$(EXEEXT) |
| 53 | 54 |
|
| 54 | 55 |
test_adaptors_test_SOURCES = test/adaptors_test.cc |
| 56 |
test_bellman_ford_test_SOURCES = test/bellman_ford_test.cc |
|
| 55 | 57 |
test_bfs_test_SOURCES = test/bfs_test.cc |
| 56 | 58 |
test_circulation_test_SOURCES = test/circulation_test.cc |
| 57 | 59 |
test_counter_test_SOURCES = test/counter_test.cc |
| 58 | 60 |
test_connectivity_test_SOURCES = test/connectivity_test.cc |
| 59 | 61 |
test_dfs_test_SOURCES = test/dfs_test.cc |
| 60 | 62 |
test_digraph_test_SOURCES = test/digraph_test.cc |
| 61 | 63 |
test_dijkstra_test_SOURCES = test/dijkstra_test.cc |
| 62 | 64 |
test_dim_test_SOURCES = test/dim_test.cc |
| 63 | 65 |
test_edge_set_test_SOURCES = test/edge_set_test.cc |
| 64 | 66 |
test_error_test_SOURCES = test/error_test.cc |
| 65 | 67 |
test_euler_test_SOURCES = test/euler_test.cc |
| 66 | 68 |
test_gomory_hu_test_SOURCES = test/gomory_hu_test.cc |
| 67 | 69 |
test_graph_copy_test_SOURCES = test/graph_copy_test.cc |
| 68 | 70 |
test_graph_test_SOURCES = test/graph_test.cc |
| 69 | 71 |
test_graph_utils_test_SOURCES = test/graph_utils_test.cc |
| 70 | 72 |
test_heap_test_SOURCES = test/heap_test.cc |
| 71 | 73 |
test_kruskal_test_SOURCES = test/kruskal_test.cc |
| 72 | 74 |
test_hao_orlin_test_SOURCES = test/hao_orlin_test.cc |
| 73 | 75 |
test_lp_test_SOURCES = test/lp_test.cc |
| 74 | 76 |
test_maps_test_SOURCES = test/maps_test.cc |
| 75 | 77 |
test_mip_test_SOURCES = test/mip_test.cc |
| 76 | 78 |
test_matching_test_SOURCES = test/matching_test.cc |
| 77 | 79 |
test_min_cost_arborescence_test_SOURCES = test/min_cost_arborescence_test.cc |
| 78 | 80 |
test_min_cost_flow_test_SOURCES = test/min_cost_flow_test.cc |
| 79 | 81 |
test_path_test_SOURCES = test/path_test.cc |
| 80 | 82 |
test_preflow_test_SOURCES = test/preflow_test.cc |
| 81 | 83 |
test_radix_sort_test_SOURCES = test/radix_sort_test.cc |
| 82 | 84 |
test_suurballe_test_SOURCES = test/suurballe_test.cc |
| 83 | 85 |
test_random_test_SOURCES = test/random_test.cc |
| 84 | 86 |
test_test_tools_fail_SOURCES = test/test_tools_fail.cc |
| 85 | 87 |
test_test_tools_pass_SOURCES = test/test_tools_pass.cc |
| 86 | 88 |
test_time_measure_test_SOURCES = test/time_measure_test.cc |
| 87 | 89 |
test_unionfind_test_SOURCES = test/unionfind_test.cc |
| 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 | 19 |
#include <iostream> |
| 20 | 20 |
|
| 21 | 21 |
#include "test_tools.h" |
| 22 | 22 |
#include <lemon/list_graph.h> |
| 23 | 23 |
#include <lemon/circulation.h> |
| 24 | 24 |
#include <lemon/lgf_reader.h> |
| 25 | 25 |
#include <lemon/concepts/digraph.h> |
| 26 | 26 |
#include <lemon/concepts/maps.h> |
| 27 | 27 |
|
| 28 | 28 |
using namespace lemon; |
| 29 | 29 |
|
| 30 | 30 |
char test_lgf[] = |
| 31 | 31 |
"@nodes\n" |
| 32 | 32 |
"label\n" |
| 33 | 33 |
"0\n" |
| 34 | 34 |
"1\n" |
| 35 | 35 |
"2\n" |
| 36 | 36 |
"3\n" |
| 37 | 37 |
"4\n" |
| 38 | 38 |
"5\n" |
| 39 | 39 |
"@arcs\n" |
| 40 | 40 |
" lcap ucap\n" |
| 41 | 41 |
"0 1 2 10\n" |
| 42 | 42 |
"0 2 2 6\n" |
| 43 | 43 |
"1 3 4 7\n" |
| 44 | 44 |
"1 4 0 5\n" |
| 45 | 45 |
"2 4 1 3\n" |
| 46 | 46 |
"3 5 3 8\n" |
| 47 | 47 |
"4 5 3 7\n" |
| 48 | 48 |
"@attributes\n" |
| 49 | 49 |
"source 0\n" |
| 50 | 50 |
"sink 5\n"; |
| 51 | 51 |
|
| 52 | 52 |
void checkCirculationCompile() |
| 53 | 53 |
{
|
| 54 | 54 |
typedef int VType; |
| 55 | 55 |
typedef concepts::Digraph Digraph; |
| 56 | 56 |
|
| 57 | 57 |
typedef Digraph::Node Node; |
| 58 | 58 |
typedef Digraph::Arc Arc; |
| 59 | 59 |
typedef concepts::ReadMap<Arc,VType> CapMap; |
| 60 | 60 |
typedef concepts::ReadMap<Node,VType> SupplyMap; |
| 61 | 61 |
typedef concepts::ReadWriteMap<Arc,VType> FlowMap; |
| 62 | 62 |
typedef concepts::WriteMap<Node,bool> BarrierMap; |
| 63 | 63 |
|
| 64 | 64 |
typedef Elevator<Digraph, Digraph::Node> Elev; |
| 65 | 65 |
typedef LinkedElevator<Digraph, Digraph::Node> LinkedElev; |
| 66 | 66 |
|
| 67 | 67 |
Digraph g; |
| 68 | 68 |
Node n; |
| 69 | 69 |
Arc a; |
| 70 | 70 |
CapMap lcap, ucap; |
| 71 | 71 |
SupplyMap supply; |
| 72 | 72 |
FlowMap flow; |
| 73 | 73 |
BarrierMap bar; |
| 74 | 74 |
VType v; |
| 75 | 75 |
bool b; |
| 76 | 76 |
|
| 77 | 77 |
typedef Circulation<Digraph, CapMap, CapMap, SupplyMap> |
| 78 | 78 |
::SetFlowMap<FlowMap> |
| 79 | 79 |
::SetElevator<Elev> |
| 80 | 80 |
::SetStandardElevator<LinkedElev> |
| 81 | 81 |
::Create CirculationType; |
| 82 | 82 |
CirculationType circ_test(g, lcap, ucap, supply); |
| 83 | 83 |
const CirculationType& const_circ_test = circ_test; |
| 84 | 84 |
|
| 85 | 85 |
circ_test |
| 86 | 86 |
.lowerMap(lcap) |
| 87 | 87 |
.upperMap(ucap) |
| 88 | 88 |
.supplyMap(supply) |
| 89 | 89 |
.flowMap(flow); |
| 90 |
|
|
| 91 |
const CirculationType::Elevator& elev = const_circ_test.elevator(); |
|
| 92 |
circ_test.elevator(const_cast<CirculationType::Elevator&>(elev)); |
|
| 93 |
CirculationType::Tolerance tol = const_circ_test.tolerance(); |
|
| 94 |
circ_test.tolerance(tol); |
|
| 90 | 95 |
|
| 91 | 96 |
circ_test.init(); |
| 92 | 97 |
circ_test.greedyInit(); |
| 93 | 98 |
circ_test.start(); |
| 94 | 99 |
circ_test.run(); |
| 95 | 100 |
|
| 96 | 101 |
v = const_circ_test.flow(a); |
| 97 | 102 |
const FlowMap& fm = const_circ_test.flowMap(); |
| 98 | 103 |
b = const_circ_test.barrier(n); |
| 99 | 104 |
const_circ_test.barrierMap(bar); |
| 100 | 105 |
|
| 101 | 106 |
ignore_unused_variable_warning(fm); |
| 102 | 107 |
} |
| 103 | 108 |
|
| 104 | 109 |
template <class G, class LM, class UM, class DM> |
| 105 | 110 |
void checkCirculation(const G& g, const LM& lm, const UM& um, |
| 106 | 111 |
const DM& dm, bool find) |
| 107 | 112 |
{
|
| 108 | 113 |
Circulation<G, LM, UM, DM> circ(g, lm, um, dm); |
| 109 | 114 |
bool ret = circ.run(); |
| 110 | 115 |
if (find) {
|
| 111 | 116 |
check(ret, "A feasible solution should have been found."); |
| 112 | 117 |
check(circ.checkFlow(), "The found flow is corrupt."); |
| 113 | 118 |
check(!circ.checkBarrier(), "A barrier should not have been found."); |
| 114 | 119 |
} else {
|
| 115 | 120 |
check(!ret, "A feasible solution should not have been found."); |
| 116 | 121 |
check(circ.checkBarrier(), "The found barrier is corrupt."); |
| 117 | 122 |
} |
| 118 | 123 |
} |
| 119 | 124 |
|
| 120 | 125 |
int main (int, char*[]) |
| 121 | 126 |
{
|
| 122 | 127 |
typedef ListDigraph Digraph; |
| 123 | 128 |
DIGRAPH_TYPEDEFS(Digraph); |
| 124 | 129 |
|
| 125 | 130 |
Digraph g; |
| 126 | 131 |
IntArcMap lo(g), up(g); |
| 127 | 132 |
IntNodeMap delta(g, 0); |
| 128 | 133 |
Node s, t; |
| 129 | 134 |
|
| 130 | 135 |
std::istringstream input(test_lgf); |
| 131 | 136 |
DigraphReader<Digraph>(g,input). |
| 132 | 137 |
arcMap("lcap", lo).
|
| 133 | 138 |
arcMap("ucap", up).
|
| 134 | 139 |
node("source",s).
|
| 135 | 140 |
node("sink",t).
|
| 136 | 141 |
run(); |
| 137 | 142 |
|
| 138 | 143 |
delta[s] = 7; delta[t] = -7; |
| 139 | 144 |
checkCirculation(g, lo, up, delta, true); |
| 140 | 145 |
|
| 141 | 146 |
delta[s] = 13; delta[t] = -13; |
| 142 | 147 |
checkCirculation(g, lo, up, delta, true); |
| 143 | 148 |
|
| 144 | 149 |
delta[s] = 6; delta[t] = -6; |
| 145 | 150 |
checkCirculation(g, lo, up, delta, false); |
| 146 | 151 |
|
| 147 | 152 |
delta[s] = 14; delta[t] = -14; |
| 148 | 153 |
checkCirculation(g, lo, up, delta, false); |
| 149 | 154 |
|
| 150 | 155 |
delta[s] = 7; delta[t] = -13; |
| 151 | 156 |
checkCirculation(g, lo, up, delta, true); |
| 152 | 157 |
|
| 153 | 158 |
delta[s] = 5; delta[t] = -15; |
| 154 | 159 |
checkCirculation(g, lo, up, delta, true); |
| 155 | 160 |
|
| 156 | 161 |
delta[s] = 10; delta[t] = -11; |
| 157 | 162 |
checkCirculation(g, lo, up, delta, true); |
| 158 | 163 |
|
| 159 | 164 |
delta[s] = 11; delta[t] = -10; |
| 160 | 165 |
checkCirculation(g, lo, up, delta, false); |
| 161 | 166 |
|
| 162 | 167 |
return 0; |
| 163 | 168 |
} |
| 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 | 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 |
|
|
| 29 | 28 |
#include <lemon/lgf_reader.h> |
| 30 | 29 |
#include <lemon/dijkstra.h> |
| 31 | 30 |
#include <lemon/maps.h> |
| 32 | 31 |
|
| 33 | 32 |
#include <lemon/bin_heap.h> |
| 33 |
#include <lemon/fourary_heap.h> |
|
| 34 |
#include <lemon/kary_heap.h> |
|
| 34 | 35 |
#include <lemon/fib_heap.h> |
| 36 |
#include <lemon/pairing_heap.h> |
|
| 35 | 37 |
#include <lemon/radix_heap.h> |
| 38 |
#include <lemon/binom_heap.h> |
|
| 36 | 39 |
#include <lemon/bucket_heap.h> |
| 37 | 40 |
|
| 38 | 41 |
#include "test_tools.h" |
| 39 | 42 |
|
| 40 | 43 |
using namespace lemon; |
| 41 | 44 |
using namespace lemon::concepts; |
| 42 | 45 |
|
| 43 | 46 |
typedef ListDigraph Digraph; |
| 44 | 47 |
DIGRAPH_TYPEDEFS(Digraph); |
| 45 | 48 |
|
| 46 | 49 |
char test_lgf[] = |
| 47 | 50 |
"@nodes\n" |
| 48 | 51 |
"label\n" |
| 49 | 52 |
"0\n" |
| 50 | 53 |
"1\n" |
| 51 | 54 |
"2\n" |
| 52 | 55 |
"3\n" |
| 53 | 56 |
"4\n" |
| 54 | 57 |
"5\n" |
| 55 | 58 |
"6\n" |
| 56 | 59 |
"7\n" |
| 57 | 60 |
"8\n" |
| 58 | 61 |
"9\n" |
| 59 | 62 |
"@arcs\n" |
| 60 | 63 |
" label capacity\n" |
| 61 | 64 |
"0 5 0 94\n" |
| 62 | 65 |
"3 9 1 11\n" |
| 63 | 66 |
"8 7 2 83\n" |
| 64 | 67 |
"1 2 3 94\n" |
| 65 | 68 |
"5 7 4 35\n" |
| 66 | 69 |
"7 4 5 84\n" |
| 67 | 70 |
"9 5 6 38\n" |
| 68 | 71 |
"0 4 7 96\n" |
| 69 | 72 |
"6 7 8 6\n" |
| 70 | 73 |
"3 1 9 27\n" |
| 71 | 74 |
"5 2 10 77\n" |
| 72 | 75 |
"5 6 11 69\n" |
| 73 | 76 |
"6 5 12 41\n" |
| 74 | 77 |
"4 6 13 70\n" |
| 75 | 78 |
"3 2 14 45\n" |
| 76 | 79 |
"7 9 15 93\n" |
| 77 | 80 |
"5 9 16 50\n" |
| 78 | 81 |
"9 0 17 94\n" |
| 79 | 82 |
"9 6 18 67\n" |
| 80 | 83 |
"0 9 19 86\n" |
| 81 | 84 |
"@attributes\n" |
| 82 | 85 |
"source 3\n"; |
| 83 | 86 |
|
| 84 | 87 |
int test_seq[] = { 2, 28, 19, 27, 33, 25, 13, 41, 10, 26, 1, 9, 4, 34};
|
| 85 | 88 |
int test_inc[] = {20, 28, 34, 16, 0, 46, 44, 0, 42, 32, 14, 8, 6, 37};
|
| 86 | 89 |
|
| 87 | 90 |
int test_len = sizeof(test_seq) / sizeof(test_seq[0]); |
| 88 | 91 |
|
| 89 | 92 |
template <typename Heap> |
| 90 | 93 |
void heapSortTest() {
|
| 91 | 94 |
RangeMap<int> map(test_len, -1); |
| 92 |
|
|
| 93 | 95 |
Heap heap(map); |
| 94 | 96 |
|
| 95 | 97 |
std::vector<int> v(test_len); |
| 96 |
|
|
| 97 | 98 |
for (int i = 0; i < test_len; ++i) {
|
| 98 | 99 |
v[i] = test_seq[i]; |
| 99 | 100 |
heap.push(i, v[i]); |
| 100 | 101 |
} |
| 101 | 102 |
std::sort(v.begin(), v.end()); |
| 102 | 103 |
for (int i = 0; i < test_len; ++i) {
|
| 103 |
check(v[i] == heap.prio() |
|
| 104 |
check(v[i] == heap.prio(), "Wrong order in heap sort."); |
|
| 104 | 105 |
heap.pop(); |
| 105 | 106 |
} |
| 106 | 107 |
} |
| 107 | 108 |
|
| 108 | 109 |
template <typename Heap> |
| 109 | 110 |
void heapIncreaseTest() {
|
| 110 | 111 |
RangeMap<int> map(test_len, -1); |
| 111 | 112 |
|
| 112 | 113 |
Heap heap(map); |
| 113 | 114 |
|
| 114 | 115 |
std::vector<int> v(test_len); |
| 115 |
|
|
| 116 | 116 |
for (int i = 0; i < test_len; ++i) {
|
| 117 | 117 |
v[i] = test_seq[i]; |
| 118 | 118 |
heap.push(i, v[i]); |
| 119 | 119 |
} |
| 120 | 120 |
for (int i = 0; i < test_len; ++i) {
|
| 121 | 121 |
v[i] += test_inc[i]; |
| 122 | 122 |
heap.increase(i, v[i]); |
| 123 | 123 |
} |
| 124 | 124 |
std::sort(v.begin(), v.end()); |
| 125 | 125 |
for (int i = 0; i < test_len; ++i) {
|
| 126 |
check(v[i] == heap.prio() |
|
| 126 |
check(v[i] == heap.prio(), "Wrong order in heap increase test."); |
|
| 127 | 127 |
heap.pop(); |
| 128 | 128 |
} |
| 129 | 129 |
} |
| 130 | 130 |
|
| 131 |
|
|
| 132 |
|
|
| 133 | 131 |
template <typename Heap> |
| 134 | 132 |
void dijkstraHeapTest(const Digraph& digraph, const IntArcMap& length, |
| 135 | 133 |
Node source) {
|
| 136 | 134 |
|
| 137 | 135 |
typename Dijkstra<Digraph, IntArcMap>::template SetStandardHeap<Heap>:: |
| 138 | 136 |
Create dijkstra(digraph, length); |
| 139 | 137 |
|
| 140 | 138 |
dijkstra.run(source); |
| 141 | 139 |
|
| 142 | 140 |
for(ArcIt a(digraph); a != INVALID; ++a) {
|
| 143 | 141 |
Node s = digraph.source(a); |
| 144 | 142 |
Node t = digraph.target(a); |
| 145 | 143 |
if (dijkstra.reached(s)) {
|
| 146 | 144 |
check( dijkstra.dist(t) - dijkstra.dist(s) <= length[a], |
| 147 |
"Error in |
|
| 145 |
"Error in shortest path tree."); |
|
| 148 | 146 |
} |
| 149 | 147 |
} |
| 150 | 148 |
|
| 151 | 149 |
for(NodeIt n(digraph); n != INVALID; ++n) {
|
| 152 | 150 |
if ( dijkstra.reached(n) && dijkstra.predArc(n) != INVALID ) {
|
| 153 | 151 |
Arc a = dijkstra.predArc(n); |
| 154 | 152 |
Node s = digraph.source(a); |
| 155 | 153 |
check( dijkstra.dist(n) - dijkstra.dist(s) == length[a], |
| 156 |
"Error in |
|
| 154 |
"Error in shortest path tree."); |
|
| 157 | 155 |
} |
| 158 | 156 |
} |
| 159 | 157 |
|
| 160 | 158 |
} |
| 161 | 159 |
|
| 162 | 160 |
int main() {
|
| 163 | 161 |
|
| 164 | 162 |
typedef int Item; |
| 165 | 163 |
typedef int Prio; |
| 166 | 164 |
typedef RangeMap<int> ItemIntMap; |
| 167 | 165 |
|
| 168 | 166 |
Digraph digraph; |
| 169 | 167 |
IntArcMap length(digraph); |
| 170 | 168 |
Node source; |
| 171 | 169 |
|
| 172 | 170 |
std::istringstream input(test_lgf); |
| 173 | 171 |
digraphReader(digraph, input). |
| 174 | 172 |
arcMap("capacity", length).
|
| 175 | 173 |
node("source", source).
|
| 176 | 174 |
run(); |
| 177 | 175 |
|
| 176 |
// BinHeap |
|
| 178 | 177 |
{
|
| 179 | 178 |
typedef BinHeap<Prio, ItemIntMap> IntHeap; |
| 180 | 179 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 181 | 180 |
heapSortTest<IntHeap>(); |
| 182 | 181 |
heapIncreaseTest<IntHeap>(); |
| 183 | 182 |
|
| 184 | 183 |
typedef BinHeap<Prio, IntNodeMap > NodeHeap; |
| 185 | 184 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 186 | 185 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 187 | 186 |
} |
| 188 | 187 |
|
| 188 |
// FouraryHeap |
|
| 189 |
{
|
|
| 190 |
typedef FouraryHeap<Prio, ItemIntMap> IntHeap; |
|
| 191 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
| 192 |
heapSortTest<IntHeap>(); |
|
| 193 |
heapIncreaseTest<IntHeap>(); |
|
| 194 |
|
|
| 195 |
typedef FouraryHeap<Prio, IntNodeMap > NodeHeap; |
|
| 196 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
| 197 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
| 198 |
} |
|
| 199 |
|
|
| 200 |
// KaryHeap |
|
| 201 |
{
|
|
| 202 |
typedef KaryHeap<Prio, ItemIntMap> IntHeap; |
|
| 203 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
| 204 |
heapSortTest<IntHeap>(); |
|
| 205 |
heapIncreaseTest<IntHeap>(); |
|
| 206 |
|
|
| 207 |
typedef KaryHeap<Prio, IntNodeMap > NodeHeap; |
|
| 208 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
| 209 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
| 210 |
} |
|
| 211 |
|
|
| 212 |
// FibHeap |
|
| 189 | 213 |
{
|
| 190 | 214 |
typedef FibHeap<Prio, ItemIntMap> IntHeap; |
| 191 | 215 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 192 | 216 |
heapSortTest<IntHeap>(); |
| 193 | 217 |
heapIncreaseTest<IntHeap>(); |
| 194 | 218 |
|
| 195 | 219 |
typedef FibHeap<Prio, IntNodeMap > NodeHeap; |
| 196 | 220 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 197 | 221 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 198 | 222 |
} |
| 199 | 223 |
|
| 224 |
// PairingHeap |
|
| 225 |
{
|
|
| 226 |
typedef PairingHeap<Prio, ItemIntMap> IntHeap; |
|
| 227 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
| 228 |
heapSortTest<IntHeap>(); |
|
| 229 |
heapIncreaseTest<IntHeap>(); |
|
| 230 |
|
|
| 231 |
typedef PairingHeap<Prio, IntNodeMap > NodeHeap; |
|
| 232 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
| 233 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
| 234 |
} |
|
| 235 |
|
|
| 236 |
// RadixHeap |
|
| 200 | 237 |
{
|
| 201 | 238 |
typedef RadixHeap<ItemIntMap> IntHeap; |
| 202 | 239 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 203 | 240 |
heapSortTest<IntHeap>(); |
| 204 | 241 |
heapIncreaseTest<IntHeap>(); |
| 205 | 242 |
|
| 206 | 243 |
typedef RadixHeap<IntNodeMap > NodeHeap; |
| 207 | 244 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 208 | 245 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 209 | 246 |
} |
| 210 | 247 |
|
| 248 |
// BinomHeap |
|
| 249 |
{
|
|
| 250 |
typedef BinomHeap<Prio, ItemIntMap> IntHeap; |
|
| 251 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
|
| 252 |
heapSortTest<IntHeap>(); |
|
| 253 |
heapIncreaseTest<IntHeap>(); |
|
| 254 |
|
|
| 255 |
typedef BinomHeap<Prio, IntNodeMap > NodeHeap; |
|
| 256 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
|
| 257 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
|
| 258 |
} |
|
| 259 |
|
|
| 260 |
// BucketHeap, SimpleBucketHeap |
|
| 211 | 261 |
{
|
| 212 | 262 |
typedef BucketHeap<ItemIntMap> IntHeap; |
| 213 | 263 |
checkConcept<Heap<Prio, ItemIntMap>, IntHeap>(); |
| 214 | 264 |
heapSortTest<IntHeap>(); |
| 215 | 265 |
heapIncreaseTest<IntHeap>(); |
| 216 | 266 |
|
| 217 | 267 |
typedef BucketHeap<IntNodeMap > NodeHeap; |
| 218 | 268 |
checkConcept<Heap<Prio, IntNodeMap >, NodeHeap>(); |
| 219 | 269 |
dijkstraHeapTest<NodeHeap>(digraph, length, source); |
| 270 |
|
|
| 271 |
typedef SimpleBucketHeap<ItemIntMap> SimpleIntHeap; |
|
| 272 |
heapSortTest<SimpleIntHeap>(); |
|
| 220 | 273 |
} |
| 221 | 274 |
|
| 222 |
|
|
| 223 | 275 |
return 0; |
| 224 | 276 |
} |
| 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 | 19 |
#include <deque> |
| 20 | 20 |
#include <set> |
| 21 | 21 |
|
| 22 | 22 |
#include <lemon/concept_check.h> |
| 23 | 23 |
#include <lemon/concepts/maps.h> |
| 24 | 24 |
#include <lemon/maps.h> |
| 25 |
#include <lemon/smart_graph.h> |
|
| 25 | 26 |
|
| 26 | 27 |
#include "test_tools.h" |
| 27 | 28 |
|
| 28 | 29 |
using namespace lemon; |
| 29 | 30 |
using namespace lemon::concepts; |
| 30 | 31 |
|
| 31 | 32 |
struct A {};
|
| 32 | 33 |
inline bool operator<(A, A) { return true; }
|
| 33 | 34 |
struct B {};
|
| 34 | 35 |
|
| 35 | 36 |
class C {
|
| 36 | 37 |
int x; |
| 37 | 38 |
public: |
| 38 | 39 |
C(int _x) : x(_x) {}
|
| 39 | 40 |
}; |
| 40 | 41 |
|
| 41 | 42 |
class F {
|
| 42 | 43 |
public: |
| 43 | 44 |
typedef A argument_type; |
| 44 | 45 |
typedef B result_type; |
| 45 | 46 |
|
| 46 | 47 |
B operator()(const A&) const { return B(); }
|
| 47 | 48 |
private: |
| 48 | 49 |
F& operator=(const F&); |
| 49 | 50 |
}; |
| 50 | 51 |
|
| 51 | 52 |
int func(A) { return 3; }
|
| 52 | 53 |
|
| 53 | 54 |
int binc(int a, B) { return a+1; }
|
| 54 | 55 |
|
| 55 | 56 |
typedef ReadMap<A, double> DoubleMap; |
| 56 | 57 |
typedef ReadWriteMap<A, double> DoubleWriteMap; |
| 57 | 58 |
typedef ReferenceMap<A, double, double&, const double&> DoubleRefMap; |
| 58 | 59 |
|
| 59 | 60 |
typedef ReadMap<A, bool> BoolMap; |
| 60 | 61 |
typedef ReadWriteMap<A, bool> BoolWriteMap; |
| 61 | 62 |
typedef ReferenceMap<A, bool, bool&, const bool&> BoolRefMap; |
| 62 | 63 |
|
| 63 | 64 |
int main() |
| 64 | 65 |
{
|
| 65 | 66 |
// Map concepts |
| 66 | 67 |
checkConcept<ReadMap<A,B>, ReadMap<A,B> >(); |
| 67 | 68 |
checkConcept<ReadMap<A,C>, ReadMap<A,C> >(); |
| 68 | 69 |
checkConcept<WriteMap<A,B>, WriteMap<A,B> >(); |
| 69 | 70 |
checkConcept<WriteMap<A,C>, WriteMap<A,C> >(); |
| 70 | 71 |
checkConcept<ReadWriteMap<A,B>, ReadWriteMap<A,B> >(); |
| 71 | 72 |
checkConcept<ReadWriteMap<A,C>, ReadWriteMap<A,C> >(); |
| 72 | 73 |
checkConcept<ReferenceMap<A,B,B&,const B&>, ReferenceMap<A,B,B&,const B&> >(); |
| 73 | 74 |
checkConcept<ReferenceMap<A,C,C&,const C&>, ReferenceMap<A,C,C&,const C&> >(); |
| 74 | 75 |
|
| 75 | 76 |
// NullMap |
| 76 | 77 |
{
|
| 77 | 78 |
checkConcept<ReadWriteMap<A,B>, NullMap<A,B> >(); |
| 78 | 79 |
NullMap<A,B> map1; |
| 79 | 80 |
NullMap<A,B> map2 = map1; |
| 80 | 81 |
map1 = nullMap<A,B>(); |
| 81 | 82 |
} |
| 82 | 83 |
|
| 83 | 84 |
// ConstMap |
| 84 | 85 |
{
|
| 85 | 86 |
checkConcept<ReadWriteMap<A,B>, ConstMap<A,B> >(); |
| 86 | 87 |
checkConcept<ReadWriteMap<A,C>, ConstMap<A,C> >(); |
| 87 | 88 |
ConstMap<A,B> map1; |
| 88 | 89 |
ConstMap<A,B> map2 = B(); |
| 89 | 90 |
ConstMap<A,B> map3 = map1; |
| 90 | 91 |
map1 = constMap<A>(B()); |
| 91 | 92 |
map1 = constMap<A,B>(); |
| 92 | 93 |
map1.setAll(B()); |
| 93 | 94 |
ConstMap<A,C> map4(C(1)); |
| 94 | 95 |
ConstMap<A,C> map5 = map4; |
| 95 | 96 |
map4 = constMap<A>(C(2)); |
| 96 | 97 |
map4.setAll(C(3)); |
| 97 | 98 |
|
| 98 | 99 |
checkConcept<ReadWriteMap<A,int>, ConstMap<A,int> >(); |
| 99 | 100 |
check(constMap<A>(10)[A()] == 10, "Something is wrong with ConstMap"); |
| 100 | 101 |
|
| 101 | 102 |
checkConcept<ReadWriteMap<A,int>, ConstMap<A,Const<int,10> > >(); |
| 102 | 103 |
ConstMap<A,Const<int,10> > map6; |
| 103 | 104 |
ConstMap<A,Const<int,10> > map7 = map6; |
| 104 | 105 |
map6 = constMap<A,int,10>(); |
| 105 | 106 |
map7 = constMap<A,Const<int,10> >(); |
| 106 | 107 |
check(map6[A()] == 10 && map7[A()] == 10, |
| 107 | 108 |
"Something is wrong with ConstMap"); |
| 108 | 109 |
} |
| 109 | 110 |
|
| 110 | 111 |
// IdentityMap |
| 111 | 112 |
{
|
| 112 | 113 |
checkConcept<ReadMap<A,A>, IdentityMap<A> >(); |
| 113 | 114 |
IdentityMap<A> map1; |
| 114 | 115 |
IdentityMap<A> map2 = map1; |
| 115 | 116 |
map1 = identityMap<A>(); |
| 116 | 117 |
|
| 117 | 118 |
checkConcept<ReadMap<double,double>, IdentityMap<double> >(); |
| 118 | 119 |
check(identityMap<double>()[1.0] == 1.0 && |
| 119 | 120 |
identityMap<double>()[3.14] == 3.14, |
| 120 | 121 |
"Something is wrong with IdentityMap"); |
| 121 | 122 |
} |
| 122 | 123 |
|
| 123 | 124 |
// RangeMap |
| 124 | 125 |
{
|
| 125 | 126 |
checkConcept<ReferenceMap<int,B,B&,const B&>, RangeMap<B> >(); |
| 126 | 127 |
RangeMap<B> map1; |
| 127 | 128 |
RangeMap<B> map2(10); |
| 128 | 129 |
RangeMap<B> map3(10,B()); |
| 129 | 130 |
RangeMap<B> map4 = map1; |
| 130 | 131 |
RangeMap<B> map5 = rangeMap<B>(); |
| 131 | 132 |
RangeMap<B> map6 = rangeMap<B>(10); |
| 132 | 133 |
RangeMap<B> map7 = rangeMap(10,B()); |
| 133 | 134 |
|
| 134 | 135 |
checkConcept< ReferenceMap<int, double, double&, const double&>, |
| 135 | 136 |
RangeMap<double> >(); |
| 136 | 137 |
std::vector<double> v(10, 0); |
| 137 | 138 |
v[5] = 100; |
| 138 | 139 |
RangeMap<double> map8(v); |
| 139 | 140 |
RangeMap<double> map9 = rangeMap(v); |
| 140 | 141 |
check(map9.size() == 10 && map9[2] == 0 && map9[5] == 100, |
| 141 | 142 |
"Something is wrong with RangeMap"); |
| 142 | 143 |
} |
| 143 | 144 |
|
| 144 | 145 |
// SparseMap |
| 145 | 146 |
{
|
| 146 | 147 |
checkConcept<ReferenceMap<A,B,B&,const B&>, SparseMap<A,B> >(); |
| 147 | 148 |
SparseMap<A,B> map1; |
| 148 | 149 |
SparseMap<A,B> map2 = B(); |
| 149 | 150 |
SparseMap<A,B> map3 = sparseMap<A,B>(); |
| 150 | 151 |
SparseMap<A,B> map4 = sparseMap<A>(B()); |
| 151 | 152 |
|
| 152 | 153 |
checkConcept< ReferenceMap<double, int, int&, const int&>, |
| 153 | 154 |
SparseMap<double, int> >(); |
| 154 | 155 |
std::map<double, int> m; |
| 155 | 156 |
SparseMap<double, int> map5(m); |
| 156 | 157 |
SparseMap<double, int> map6(m,10); |
| 157 | 158 |
SparseMap<double, int> map7 = sparseMap(m); |
| 158 | 159 |
SparseMap<double, int> map8 = sparseMap(m,10); |
| 159 | 160 |
|
| 160 | 161 |
check(map5[1.0] == 0 && map5[3.14] == 0 && |
| 161 | 162 |
map6[1.0] == 10 && map6[3.14] == 10, |
| 162 | 163 |
"Something is wrong with SparseMap"); |
| 163 | 164 |
map5[1.0] = map6[3.14] = 100; |
| 164 | 165 |
check(map5[1.0] == 100 && map5[3.14] == 0 && |
| 165 | 166 |
map6[1.0] == 10 && map6[3.14] == 100, |
| 166 | 167 |
"Something is wrong with SparseMap"); |
| 167 | 168 |
} |
| 168 | 169 |
|
| 169 | 170 |
// ComposeMap |
| 170 | 171 |
{
|
| 171 | 172 |
typedef ComposeMap<DoubleMap, ReadMap<B,A> > CompMap; |
| 172 | 173 |
checkConcept<ReadMap<B,double>, CompMap>(); |
| 173 | 174 |
CompMap map1 = CompMap(DoubleMap(),ReadMap<B,A>()); |
| 174 | 175 |
CompMap map2 = composeMap(DoubleMap(), ReadMap<B,A>()); |
| 175 | 176 |
|
| 176 | 177 |
SparseMap<double, bool> m1(false); m1[3.14] = true; |
| 177 | 178 |
RangeMap<double> m2(2); m2[0] = 3.0; m2[1] = 3.14; |
| 178 | 179 |
check(!composeMap(m1,m2)[0] && composeMap(m1,m2)[1], |
| 179 | 180 |
"Something is wrong with ComposeMap") |
| 180 | 181 |
} |
| 181 | 182 |
|
| 182 | 183 |
// CombineMap |
| 183 | 184 |
{
|
| 184 | 185 |
typedef CombineMap<DoubleMap, DoubleMap, std::plus<double> > CombMap; |
| 185 | 186 |
checkConcept<ReadMap<A,double>, CombMap>(); |
| 186 | 187 |
CombMap map1 = CombMap(DoubleMap(), DoubleMap()); |
| 187 | 188 |
CombMap map2 = combineMap(DoubleMap(), DoubleMap(), std::plus<double>()); |
| 188 | 189 |
|
| 189 | 190 |
check(combineMap(constMap<B,int,2>(), identityMap<B>(), &binc)[B()] == 3, |
| 190 | 191 |
"Something is wrong with CombineMap"); |
| 191 | 192 |
} |
| 192 | 193 |
|
| 193 | 194 |
// FunctorToMap, MapToFunctor |
| 194 | 195 |
{
|
| 195 | 196 |
checkConcept<ReadMap<A,B>, FunctorToMap<F,A,B> >(); |
| 196 | 197 |
checkConcept<ReadMap<A,B>, FunctorToMap<F> >(); |
| 197 | 198 |
FunctorToMap<F> map1; |
| 198 | 199 |
FunctorToMap<F> map2 = FunctorToMap<F>(F()); |
| 199 | 200 |
B b = functorToMap(F())[A()]; |
| 200 | 201 |
|
| 201 | 202 |
checkConcept<ReadMap<A,B>, MapToFunctor<ReadMap<A,B> > >(); |
| 202 | 203 |
MapToFunctor<ReadMap<A,B> > map = MapToFunctor<ReadMap<A,B> >(ReadMap<A,B>()); |
| 203 | 204 |
|
| 204 | 205 |
check(functorToMap(&func)[A()] == 3, |
| 205 | 206 |
"Something is wrong with FunctorToMap"); |
| 206 | 207 |
check(mapToFunctor(constMap<A,int>(2))(A()) == 2, |
| 207 | 208 |
"Something is wrong with MapToFunctor"); |
| 208 | 209 |
check(mapToFunctor(functorToMap(&func))(A()) == 3 && |
| 209 | 210 |
mapToFunctor(functorToMap(&func))[A()] == 3, |
| 210 | 211 |
"Something is wrong with FunctorToMap or MapToFunctor"); |
| 211 | 212 |
check(functorToMap(mapToFunctor(constMap<A,int>(2)))[A()] == 2, |
| 212 | 213 |
"Something is wrong with FunctorToMap or MapToFunctor"); |
| 213 | 214 |
} |
| 214 | 215 |
|
| 215 | 216 |
// ConvertMap |
| 216 | 217 |
{
|
| 217 | 218 |
checkConcept<ReadMap<double,double>, |
| 218 | 219 |
ConvertMap<ReadMap<double, int>, double> >(); |
| 219 | 220 |
ConvertMap<RangeMap<bool>, int> map1(rangeMap(1, true)); |
| 220 | 221 |
ConvertMap<RangeMap<bool>, int> map2 = convertMap<int>(rangeMap(2, false)); |
| 221 | 222 |
} |
| 222 | 223 |
|
| 223 | 224 |
// ForkMap |
| 224 | 225 |
{
|
| 225 | 226 |
checkConcept<DoubleWriteMap, ForkMap<DoubleWriteMap, DoubleWriteMap> >(); |
| 226 | 227 |
|
| 227 | 228 |
typedef RangeMap<double> RM; |
| 228 | 229 |
typedef SparseMap<int, double> SM; |
| 229 | 230 |
RM m1(10, -1); |
| 230 | 231 |
SM m2(-1); |
| 231 | 232 |
checkConcept<ReadWriteMap<int, double>, ForkMap<RM, SM> >(); |
| 232 | 233 |
checkConcept<ReadWriteMap<int, double>, ForkMap<SM, RM> >(); |
| 233 | 234 |
ForkMap<RM, SM> map1(m1,m2); |
| 234 | 235 |
ForkMap<SM, RM> map2 = forkMap(m2,m1); |
| 235 | 236 |
map2.set(5, 10); |
| 236 | 237 |
check(m1[1] == -1 && m1[5] == 10 && m2[1] == -1 && |
| 237 | 238 |
m2[5] == 10 && map2[1] == -1 && map2[5] == 10, |
| 238 | 239 |
"Something is wrong with ForkMap"); |
| 239 | 240 |
} |
| 240 | 241 |
|
| 241 | 242 |
// Arithmetic maps: |
| 242 | 243 |
// - AddMap, SubMap, MulMap, DivMap |
| 243 | 244 |
// - ShiftMap, ShiftWriteMap, ScaleMap, ScaleWriteMap |
| 244 | 245 |
// - NegMap, NegWriteMap, AbsMap |
| 245 | 246 |
{
|
| 246 | 247 |
checkConcept<DoubleMap, AddMap<DoubleMap,DoubleMap> >(); |
| 247 | 248 |
checkConcept<DoubleMap, SubMap<DoubleMap,DoubleMap> >(); |
| 248 | 249 |
checkConcept<DoubleMap, MulMap<DoubleMap,DoubleMap> >(); |
| 249 | 250 |
checkConcept<DoubleMap, DivMap<DoubleMap,DoubleMap> >(); |
| 250 | 251 |
|
| 251 | 252 |
ConstMap<int, double> c1(1.0), c2(3.14); |
| 252 | 253 |
IdentityMap<int> im; |
| 253 | 254 |
ConvertMap<IdentityMap<int>, double> id(im); |
| 254 | 255 |
check(addMap(c1,id)[0] == 1.0 && addMap(c1,id)[10] == 11.0, |
| 255 | 256 |
"Something is wrong with AddMap"); |
| 256 | 257 |
check(subMap(id,c1)[0] == -1.0 && subMap(id,c1)[10] == 9.0, |
| 257 | 258 |
"Something is wrong with SubMap"); |
| 258 | 259 |
check(mulMap(id,c2)[0] == 0 && mulMap(id,c2)[2] == 6.28, |
| 259 | 260 |
"Something is wrong with MulMap"); |
| 260 | 261 |
check(divMap(c2,id)[1] == 3.14 && divMap(c2,id)[2] == 1.57, |
| 261 | 262 |
"Something is wrong with DivMap"); |
| 262 | 263 |
|
| 263 | 264 |
checkConcept<DoubleMap, ShiftMap<DoubleMap> >(); |
| 264 | 265 |
checkConcept<DoubleWriteMap, ShiftWriteMap<DoubleWriteMap> >(); |
| 265 | 266 |
checkConcept<DoubleMap, ScaleMap<DoubleMap> >(); |
| 266 | 267 |
checkConcept<DoubleWriteMap, ScaleWriteMap<DoubleWriteMap> >(); |
| 267 | 268 |
checkConcept<DoubleMap, NegMap<DoubleMap> >(); |
| 268 | 269 |
checkConcept<DoubleWriteMap, NegWriteMap<DoubleWriteMap> >(); |
| 269 | 270 |
checkConcept<DoubleMap, AbsMap<DoubleMap> >(); |
| 270 | 271 |
|
| 271 | 272 |
check(shiftMap(id, 2.0)[1] == 3.0 && shiftMap(id, 2.0)[10] == 12.0, |
| 272 | 273 |
"Something is wrong with ShiftMap"); |
| 273 | 274 |
check(shiftWriteMap(id, 2.0)[1] == 3.0 && |
| 274 | 275 |
shiftWriteMap(id, 2.0)[10] == 12.0, |
| 275 | 276 |
"Something is wrong with ShiftWriteMap"); |
| 276 | 277 |
check(scaleMap(id, 2.0)[1] == 2.0 && scaleMap(id, 2.0)[10] == 20.0, |
| 277 | 278 |
"Something is wrong with ScaleMap"); |
| 278 | 279 |
check(scaleWriteMap(id, 2.0)[1] == 2.0 && |
| 279 | 280 |
scaleWriteMap(id, 2.0)[10] == 20.0, |
| 280 | 281 |
"Something is wrong with ScaleWriteMap"); |
| 281 | 282 |
check(negMap(id)[1] == -1.0 && negMap(id)[-10] == 10.0, |
| 282 | 283 |
"Something is wrong with NegMap"); |
| 283 | 284 |
check(negWriteMap(id)[1] == -1.0 && negWriteMap(id)[-10] == 10.0, |
| 284 | 285 |
"Something is wrong with NegWriteMap"); |
| 285 | 286 |
check(absMap(id)[1] == 1.0 && absMap(id)[-10] == 10.0, |
| 286 | 287 |
"Something is wrong with AbsMap"); |
| 287 | 288 |
} |
| 288 | 289 |
|
| 289 | 290 |
// Logical maps: |
| 290 | 291 |
// - TrueMap, FalseMap |
| 291 | 292 |
// - AndMap, OrMap |
| 292 | 293 |
// - NotMap, NotWriteMap |
| 293 | 294 |
// - EqualMap, LessMap |
| 294 | 295 |
{
|
| 295 | 296 |
checkConcept<BoolMap, TrueMap<A> >(); |
| 296 | 297 |
checkConcept<BoolMap, FalseMap<A> >(); |
| 297 | 298 |
checkConcept<BoolMap, AndMap<BoolMap,BoolMap> >(); |
| 298 | 299 |
checkConcept<BoolMap, OrMap<BoolMap,BoolMap> >(); |
| 299 | 300 |
checkConcept<BoolMap, NotMap<BoolMap> >(); |
| 300 | 301 |
checkConcept<BoolWriteMap, NotWriteMap<BoolWriteMap> >(); |
| 301 | 302 |
checkConcept<BoolMap, EqualMap<DoubleMap,DoubleMap> >(); |
| 302 | 303 |
checkConcept<BoolMap, LessMap<DoubleMap,DoubleMap> >(); |
| 303 | 304 |
|
| 304 | 305 |
TrueMap<int> tm; |
| 305 | 306 |
FalseMap<int> fm; |
| 306 | 307 |
RangeMap<bool> rm(2); |
| 307 | 308 |
rm[0] = true; rm[1] = false; |
| 308 | 309 |
check(andMap(tm,rm)[0] && !andMap(tm,rm)[1] && |
| 309 | 310 |
!andMap(fm,rm)[0] && !andMap(fm,rm)[1], |
| 310 | 311 |
"Something is wrong with AndMap"); |
| 311 | 312 |
check(orMap(tm,rm)[0] && orMap(tm,rm)[1] && |
| 312 | 313 |
orMap(fm,rm)[0] && !orMap(fm,rm)[1], |
| 313 | 314 |
"Something is wrong with OrMap"); |
| 314 | 315 |
check(!notMap(rm)[0] && notMap(rm)[1], |
| 315 | 316 |
"Something is wrong with NotMap"); |
| 316 | 317 |
check(!notWriteMap(rm)[0] && notWriteMap(rm)[1], |
| 317 | 318 |
"Something is wrong with NotWriteMap"); |
| 318 | 319 |
|
| 319 | 320 |
ConstMap<int, double> cm(2.0); |
| 320 | 321 |
IdentityMap<int> im; |
| 321 | 322 |
ConvertMap<IdentityMap<int>, double> id(im); |
| 322 | 323 |
check(lessMap(id,cm)[1] && !lessMap(id,cm)[2] && !lessMap(id,cm)[3], |
| 323 | 324 |
"Something is wrong with LessMap"); |
| 324 | 325 |
check(!equalMap(id,cm)[1] && equalMap(id,cm)[2] && !equalMap(id,cm)[3], |
| 325 | 326 |
"Something is wrong with EqualMap"); |
| 326 | 327 |
} |
| 327 | 328 |
|
| 328 | 329 |
// LoggerBoolMap |
| 329 | 330 |
{
|
| 330 | 331 |
typedef std::vector<int> vec; |
| 331 | 332 |
vec v1; |
| 332 | 333 |
vec v2(10); |
| 333 | 334 |
LoggerBoolMap<std::back_insert_iterator<vec> > |
| 334 | 335 |
map1(std::back_inserter(v1)); |
| 335 | 336 |
LoggerBoolMap<vec::iterator> map2(v2.begin()); |
| 336 | 337 |
map1.set(10, false); |
| 337 | 338 |
map1.set(20, true); map2.set(20, true); |
| 338 | 339 |
map1.set(30, false); map2.set(40, false); |
| 339 | 340 |
map1.set(50, true); map2.set(50, true); |
| 340 | 341 |
map1.set(60, true); map2.set(60, true); |
| 341 | 342 |
check(v1.size() == 3 && v2.size() == 10 && |
| 342 | 343 |
v1[0]==20 && v1[1]==50 && v1[2]==60 && |
| 343 | 344 |
v2[0]==20 && v2[1]==50 && v2[2]==60, |
| 344 | 345 |
"Something is wrong with LoggerBoolMap"); |
| 345 | 346 |
|
| 346 | 347 |
int i = 0; |
| 347 | 348 |
for ( LoggerBoolMap<vec::iterator>::Iterator it = map2.begin(); |
| 348 | 349 |
it != map2.end(); ++it ) |
| 349 | 350 |
check(v1[i++] == *it, "Something is wrong with LoggerBoolMap"); |
| 350 | 351 |
} |
| 351 | 352 |
|
| 353 |
// CrossRefMap |
|
| 354 |
{
|
|
| 355 |
typedef SmartDigraph Graph; |
|
| 356 |
DIGRAPH_TYPEDEFS(Graph); |
|
| 357 |
|
|
| 358 |
checkConcept<ReadWriteMap<Node, int>, |
|
| 359 |
CrossRefMap<Graph, Node, int> >(); |
|
| 360 |
|
|
| 361 |
Graph gr; |
|
| 362 |
typedef CrossRefMap<Graph, Node, char> CRMap; |
|
| 363 |
typedef CRMap::ValueIterator ValueIt; |
|
| 364 |
CRMap map(gr); |
|
| 365 |
|
|
| 366 |
Node n0 = gr.addNode(); |
|
| 367 |
Node n1 = gr.addNode(); |
|
| 368 |
Node n2 = gr.addNode(); |
|
| 369 |
|
|
| 370 |
map.set(n0, 'A'); |
|
| 371 |
map.set(n1, 'B'); |
|
| 372 |
map.set(n2, 'C'); |
|
| 373 |
map.set(n2, 'A'); |
|
| 374 |
map.set(n0, 'C'); |
|
| 375 |
|
|
| 376 |
check(map[n0] == 'C' && map[n1] == 'B' && map[n2] == 'A', |
|
| 377 |
"Wrong CrossRefMap"); |
|
| 378 |
check(map('A') == n2 && map.inverse()['A'] == n2, "Wrong CrossRefMap");
|
|
| 379 |
check(map('B') == n1 && map.inverse()['B'] == n1, "Wrong CrossRefMap");
|
|
| 380 |
check(map('C') == n0 && map.inverse()['C'] == n0, "Wrong CrossRefMap");
|
|
| 381 |
|
|
| 382 |
ValueIt it = map.beginValue(); |
|
| 383 |
check(*it++ == 'A' && *it++ == 'B' && *it++ == 'C' && |
|
| 384 |
it == map.endValue(), "Wrong value iterator"); |
|
| 385 |
} |
|
| 386 |
|
|
| 387 |
// Iterable bool map |
|
| 388 |
{
|
|
| 389 |
typedef SmartGraph Graph; |
|
| 390 |
typedef SmartGraph::Node Item; |
|
| 391 |
|
|
| 392 |
typedef IterableBoolMap<SmartGraph, SmartGraph::Node> Ibm; |
|
| 393 |
checkConcept<ReferenceMap<Item, bool, bool&, const bool&>, Ibm>(); |
|
| 394 |
|
|
| 395 |
const int num = 10; |
|
| 396 |
Graph g; |
|
| 397 |
std::vector<Item> items; |
|
| 398 |
for (int i = 0; i < num; ++i) {
|
|
| 399 |
items.push_back(g.addNode()); |
|
| 400 |
} |
|
| 401 |
|
|
| 402 |
Ibm map1(g, true); |
|
| 403 |
int n = 0; |
|
| 404 |
for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
|
|
| 405 |
check(map1[static_cast<Item>(it)], "Wrong TrueIt"); |
|
| 406 |
++n; |
|
| 407 |
} |
|
| 408 |
check(n == num, "Wrong number"); |
|
| 409 |
|
|
| 410 |
n = 0; |
|
| 411 |
for (Ibm::ItemIt it(map1, true); it != INVALID; ++it) {
|
|
| 412 |
check(map1[static_cast<Item>(it)], "Wrong ItemIt for true"); |
|
| 413 |
++n; |
|
| 414 |
} |
|
| 415 |
check(n == num, "Wrong number"); |
|
| 416 |
check(Ibm::FalseIt(map1) == INVALID, "Wrong FalseIt"); |
|
| 417 |
check(Ibm::ItemIt(map1, false) == INVALID, "Wrong ItemIt for false"); |
|
| 418 |
|
|
| 419 |
map1[items[5]] = true; |
|
| 420 |
|
|
| 421 |
n = 0; |
|
| 422 |
for (Ibm::ItemIt it(map1, true); it != INVALID; ++it) {
|
|
| 423 |
check(map1[static_cast<Item>(it)], "Wrong ItemIt for true"); |
|
| 424 |
++n; |
|
| 425 |
} |
|
| 426 |
check(n == num, "Wrong number"); |
|
| 427 |
|
|
| 428 |
map1[items[num / 2]] = false; |
|
| 429 |
check(map1[items[num / 2]] == false, "Wrong map value"); |
|
| 430 |
|
|
| 431 |
n = 0; |
|
| 432 |
for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
|
|
| 433 |
check(map1[static_cast<Item>(it)], "Wrong TrueIt for true"); |
|
| 434 |
++n; |
|
| 435 |
} |
|
| 436 |
check(n == num - 1, "Wrong number"); |
|
| 437 |
|
|
| 438 |
n = 0; |
|
| 439 |
for (Ibm::FalseIt it(map1); it != INVALID; ++it) {
|
|
| 440 |
check(!map1[static_cast<Item>(it)], "Wrong FalseIt for true"); |
|
| 441 |
++n; |
|
| 442 |
} |
|
| 443 |
check(n == 1, "Wrong number"); |
|
| 444 |
|
|
| 445 |
map1[items[0]] = false; |
|
| 446 |
check(map1[items[0]] == false, "Wrong map value"); |
|
| 447 |
|
|
| 448 |
map1[items[num - 1]] = false; |
|
| 449 |
check(map1[items[num - 1]] == false, "Wrong map value"); |
|
| 450 |
|
|
| 451 |
n = 0; |
|
| 452 |
for (Ibm::TrueIt it(map1); it != INVALID; ++it) {
|
|
| 453 |
check(map1[static_cast<Item>(it)], "Wrong TrueIt for true"); |
|
| 454 |
++n; |
|
| 455 |
} |
|
| 456 |
check(n == num - 3, "Wrong number"); |
|
| 457 |
check(map1.trueNum() == num - 3, "Wrong number"); |
|
| 458 |
|
|
| 459 |
n = 0; |
|
| 460 |
for (Ibm::FalseIt it(map1); it != INVALID; ++it) {
|
|
| 461 |
check(!map1[static_cast<Item>(it)], "Wrong FalseIt for true"); |
|
| 462 |
++n; |
|
| 463 |
} |
|
| 464 |
check(n == 3, "Wrong number"); |
|
| 465 |
check(map1.falseNum() == 3, "Wrong number"); |
|
| 466 |
} |
|
| 467 |
|
|
| 468 |
// Iterable int map |
|
| 469 |
{
|
|
| 470 |
typedef SmartGraph Graph; |
|
| 471 |
typedef SmartGraph::Node Item; |
|
| 472 |
typedef IterableIntMap<SmartGraph, SmartGraph::Node> Iim; |
|
| 473 |
|
|
| 474 |
checkConcept<ReferenceMap<Item, int, int&, const int&>, Iim>(); |
|
| 475 |
|
|
| 476 |
const int num = 10; |
|
| 477 |
Graph g; |
|
| 478 |
std::vector<Item> items; |
|
| 479 |
for (int i = 0; i < num; ++i) {
|
|
| 480 |
items.push_back(g.addNode()); |
|
| 481 |
} |
|
| 482 |
|
|
| 483 |
Iim map1(g); |
|
| 484 |
check(map1.size() == 0, "Wrong size"); |
|
| 485 |
|
|
| 486 |
for (int i = 0; i < num; ++i) {
|
|
| 487 |
map1[items[i]] = i; |
|
| 488 |
} |
|
| 489 |
check(map1.size() == num, "Wrong size"); |
|
| 490 |
|
|
| 491 |
for (int i = 0; i < num; ++i) {
|
|
| 492 |
Iim::ItemIt it(map1, i); |
|
| 493 |
check(static_cast<Item>(it) == items[i], "Wrong value"); |
|
| 494 |
++it; |
|
| 495 |
check(static_cast<Item>(it) == INVALID, "Wrong value"); |
|
| 496 |
} |
|
| 497 |
|
|
| 498 |
for (int i = 0; i < num; ++i) {
|
|
| 499 |
map1[items[i]] = i % 2; |
|
| 500 |
} |
|
| 501 |
check(map1.size() == 2, "Wrong size"); |
|
| 502 |
|
|
| 503 |
int n = 0; |
|
| 504 |
for (Iim::ItemIt it(map1, 0); it != INVALID; ++it) {
|
|
| 505 |
check(map1[static_cast<Item>(it)] == 0, "Wrong value"); |
|
| 506 |
++n; |
|
| 507 |
} |
|
| 508 |
check(n == (num + 1) / 2, "Wrong number"); |
|
| 509 |
|
|
| 510 |
for (Iim::ItemIt it(map1, 1); it != INVALID; ++it) {
|
|
| 511 |
check(map1[static_cast<Item>(it)] == 1, "Wrong value"); |
|
| 512 |
++n; |
|
| 513 |
} |
|
| 514 |
check(n == num, "Wrong number"); |
|
| 515 |
|
|
| 516 |
} |
|
| 517 |
|
|
| 518 |
// Iterable value map |
|
| 519 |
{
|
|
| 520 |
typedef SmartGraph Graph; |
|
| 521 |
typedef SmartGraph::Node Item; |
|
| 522 |
typedef IterableValueMap<SmartGraph, SmartGraph::Node, double> Ivm; |
|
| 523 |
|
|
| 524 |
checkConcept<ReadWriteMap<Item, double>, Ivm>(); |
|
| 525 |
|
|
| 526 |
const int num = 10; |
|
| 527 |
Graph g; |
|
| 528 |
std::vector<Item> items; |
|
| 529 |
for (int i = 0; i < num; ++i) {
|
|
| 530 |
items.push_back(g.addNode()); |
|
| 531 |
} |
|
| 532 |
|
|
| 533 |
Ivm map1(g, 0.0); |
|
| 534 |
check(distance(map1.beginValue(), map1.endValue()) == 1, "Wrong size"); |
|
| 535 |
check(*map1.beginValue() == 0.0, "Wrong value"); |
|
| 536 |
|
|
| 537 |
for (int i = 0; i < num; ++i) {
|
|
| 538 |
map1.set(items[i], static_cast<double>(i)); |
|
| 539 |
} |
|
| 540 |
check(distance(map1.beginValue(), map1.endValue()) == num, "Wrong size"); |
|
| 541 |
|
|
| 542 |
for (int i = 0; i < num; ++i) {
|
|
| 543 |
Ivm::ItemIt it(map1, static_cast<double>(i)); |
|
| 544 |
check(static_cast<Item>(it) == items[i], "Wrong value"); |
|
| 545 |
++it; |
|
| 546 |
check(static_cast<Item>(it) == INVALID, "Wrong value"); |
|
| 547 |
} |
|
| 548 |
|
|
| 549 |
for (Ivm::ValueIterator vit = map1.beginValue(); |
|
| 550 |
vit != map1.endValue(); ++vit) {
|
|
| 551 |
check(map1[static_cast<Item>(Ivm::ItemIt(map1, *vit))] == *vit, |
|
| 552 |
"Wrong ValueIterator"); |
|
| 553 |
} |
|
| 554 |
|
|
| 555 |
for (int i = 0; i < num; ++i) {
|
|
| 556 |
map1.set(items[i], static_cast<double>(i % 2)); |
|
| 557 |
} |
|
| 558 |
check(distance(map1.beginValue(), map1.endValue()) == 2, "Wrong size"); |
|
| 559 |
|
|
| 560 |
int n = 0; |
|
| 561 |
for (Ivm::ItemIt it(map1, 0.0); it != INVALID; ++it) {
|
|
| 562 |
check(map1[static_cast<Item>(it)] == 0.0, "Wrong value"); |
|
| 563 |
++n; |
|
| 564 |
} |
|
| 565 |
check(n == (num + 1) / 2, "Wrong number"); |
|
| 566 |
|
|
| 567 |
for (Ivm::ItemIt it(map1, 1.0); it != INVALID; ++it) {
|
|
| 568 |
check(map1[static_cast<Item>(it)] == 1.0, "Wrong value"); |
|
| 569 |
++n; |
|
| 570 |
} |
|
| 571 |
check(n == num, "Wrong number"); |
|
| 572 |
|
|
| 573 |
} |
|
| 352 | 574 |
return 0; |
| 353 | 575 |
} |
| 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 | 19 |
#include <iostream> |
| 20 | 20 |
|
| 21 | 21 |
#include "test_tools.h" |
| 22 | 22 |
#include <lemon/smart_graph.h> |
| 23 | 23 |
#include <lemon/preflow.h> |
| 24 | 24 |
#include <lemon/concepts/digraph.h> |
| 25 | 25 |
#include <lemon/concepts/maps.h> |
| 26 | 26 |
#include <lemon/lgf_reader.h> |
| 27 | 27 |
#include <lemon/elevator.h> |
| 28 | 28 |
|
| 29 | 29 |
using namespace lemon; |
| 30 | 30 |
|
| 31 | 31 |
char test_lgf[] = |
| 32 | 32 |
"@nodes\n" |
| 33 | 33 |
"label\n" |
| 34 | 34 |
"0\n" |
| 35 | 35 |
"1\n" |
| 36 | 36 |
"2\n" |
| 37 | 37 |
"3\n" |
| 38 | 38 |
"4\n" |
| 39 | 39 |
"5\n" |
| 40 | 40 |
"6\n" |
| 41 | 41 |
"7\n" |
| 42 | 42 |
"8\n" |
| 43 | 43 |
"9\n" |
| 44 | 44 |
"@arcs\n" |
| 45 | 45 |
" label capacity\n" |
| 46 | 46 |
"0 1 0 20\n" |
| 47 | 47 |
"0 2 1 0\n" |
| 48 | 48 |
"1 1 2 3\n" |
| 49 | 49 |
"1 2 3 8\n" |
| 50 | 50 |
"1 3 4 8\n" |
| 51 | 51 |
"2 5 5 5\n" |
| 52 | 52 |
"3 2 6 5\n" |
| 53 | 53 |
"3 5 7 5\n" |
| 54 | 54 |
"3 6 8 5\n" |
| 55 | 55 |
"4 3 9 3\n" |
| 56 | 56 |
"5 7 10 3\n" |
| 57 | 57 |
"5 6 11 10\n" |
| 58 | 58 |
"5 8 12 10\n" |
| 59 | 59 |
"6 8 13 8\n" |
| 60 | 60 |
"8 9 14 20\n" |
| 61 | 61 |
"8 1 15 5\n" |
| 62 | 62 |
"9 5 16 5\n" |
| 63 | 63 |
"@attributes\n" |
| 64 | 64 |
"source 1\n" |
| 65 | 65 |
"target 8\n"; |
| 66 | 66 |
|
| 67 | 67 |
void checkPreflowCompile() |
| 68 | 68 |
{
|
| 69 | 69 |
typedef int VType; |
| 70 | 70 |
typedef concepts::Digraph Digraph; |
| 71 | 71 |
|
| 72 | 72 |
typedef Digraph::Node Node; |
| 73 | 73 |
typedef Digraph::Arc Arc; |
| 74 | 74 |
typedef concepts::ReadMap<Arc,VType> CapMap; |
| 75 | 75 |
typedef concepts::ReadWriteMap<Arc,VType> FlowMap; |
| 76 | 76 |
typedef concepts::WriteMap<Node,bool> CutMap; |
| 77 | 77 |
|
| 78 | 78 |
typedef Elevator<Digraph, Digraph::Node> Elev; |
| 79 | 79 |
typedef LinkedElevator<Digraph, Digraph::Node> LinkedElev; |
| 80 | 80 |
|
| 81 | 81 |
Digraph g; |
| 82 | 82 |
Node n; |
| 83 | 83 |
Arc e; |
| 84 | 84 |
CapMap cap; |
| 85 | 85 |
FlowMap flow; |
| 86 | 86 |
CutMap cut; |
| 87 | 87 |
VType v; |
| 88 | 88 |
bool b; |
| 89 | 89 |
|
| 90 | 90 |
typedef Preflow<Digraph, CapMap> |
| 91 | 91 |
::SetFlowMap<FlowMap> |
| 92 | 92 |
::SetElevator<Elev> |
| 93 | 93 |
::SetStandardElevator<LinkedElev> |
| 94 | 94 |
::Create PreflowType; |
| 95 | 95 |
PreflowType preflow_test(g, cap, n, n); |
| 96 | 96 |
const PreflowType& const_preflow_test = preflow_test; |
| 97 |
|
|
| 98 |
const PreflowType::Elevator& elev = const_preflow_test.elevator(); |
|
| 99 |
preflow_test.elevator(const_cast<PreflowType::Elevator&>(elev)); |
|
| 100 |
PreflowType::Tolerance tol = const_preflow_test.tolerance(); |
|
| 101 |
preflow_test.tolerance(tol); |
|
| 97 | 102 |
|
| 98 | 103 |
preflow_test |
| 99 | 104 |
.capacityMap(cap) |
| 100 | 105 |
.flowMap(flow) |
| 101 | 106 |
.source(n) |
| 102 | 107 |
.target(n); |
| 103 | 108 |
|
| 104 | 109 |
preflow_test.init(); |
| 105 | 110 |
preflow_test.init(cap); |
| 106 | 111 |
preflow_test.startFirstPhase(); |
| 107 | 112 |
preflow_test.startSecondPhase(); |
| 108 | 113 |
preflow_test.run(); |
| 109 | 114 |
preflow_test.runMinCut(); |
| 110 | 115 |
|
| 111 | 116 |
v = const_preflow_test.flowValue(); |
| 112 | 117 |
v = const_preflow_test.flow(e); |
| 113 | 118 |
const FlowMap& fm = const_preflow_test.flowMap(); |
| 114 | 119 |
b = const_preflow_test.minCut(n); |
| 115 | 120 |
const_preflow_test.minCutMap(cut); |
| 116 | 121 |
|
| 117 | 122 |
ignore_unused_variable_warning(fm); |
| 118 | 123 |
} |
| 119 | 124 |
|
| 120 | 125 |
int cutValue (const SmartDigraph& g, |
| 121 | 126 |
const SmartDigraph::NodeMap<bool>& cut, |
| 122 | 127 |
const SmartDigraph::ArcMap<int>& cap) {
|
| 123 | 128 |
|
| 124 | 129 |
int c=0; |
| 125 | 130 |
for(SmartDigraph::ArcIt e(g); e!=INVALID; ++e) {
|
| 126 | 131 |
if (cut[g.source(e)] && !cut[g.target(e)]) c+=cap[e]; |
| 127 | 132 |
} |
| 128 | 133 |
return c; |
| 129 | 134 |
} |
| 130 | 135 |
|
| 131 | 136 |
bool checkFlow(const SmartDigraph& g, |
| 132 | 137 |
const SmartDigraph::ArcMap<int>& flow, |
| 133 | 138 |
const SmartDigraph::ArcMap<int>& cap, |
| 134 | 139 |
SmartDigraph::Node s, SmartDigraph::Node t) {
|
| 135 | 140 |
|
| 136 | 141 |
for (SmartDigraph::ArcIt e(g); e != INVALID; ++e) {
|
| 137 | 142 |
if (flow[e] < 0 || flow[e] > cap[e]) return false; |
| 138 | 143 |
} |
| 139 | 144 |
|
| 140 | 145 |
for (SmartDigraph::NodeIt n(g); n != INVALID; ++n) {
|
| 141 | 146 |
if (n == s || n == t) continue; |
| 142 | 147 |
int sum = 0; |
| 143 | 148 |
for (SmartDigraph::OutArcIt e(g, n); e != INVALID; ++e) {
|
| 144 | 149 |
sum += flow[e]; |
| 145 | 150 |
} |
| 146 | 151 |
for (SmartDigraph::InArcIt e(g, n); e != INVALID; ++e) {
|
| 147 | 152 |
sum -= flow[e]; |
| 148 | 153 |
} |
| 149 | 154 |
if (sum != 0) return false; |
| 150 | 155 |
} |
| 151 | 156 |
return true; |
| 152 | 157 |
} |
| 153 | 158 |
|
| 154 | 159 |
int main() {
|
| 155 | 160 |
|
| 156 | 161 |
typedef SmartDigraph Digraph; |
| 157 | 162 |
|
| 158 | 163 |
typedef Digraph::Node Node; |
| 159 | 164 |
typedef Digraph::NodeIt NodeIt; |
| 160 | 165 |
typedef Digraph::ArcIt ArcIt; |
| 161 | 166 |
typedef Digraph::ArcMap<int> CapMap; |
| 162 | 167 |
typedef Digraph::ArcMap<int> FlowMap; |
| 163 | 168 |
typedef Digraph::NodeMap<bool> CutMap; |
| 164 | 169 |
|
| 165 | 170 |
typedef Preflow<Digraph, CapMap> PType; |
| 166 | 171 |
|
| 167 | 172 |
Digraph g; |
| 168 | 173 |
Node s, t; |
| 169 | 174 |
CapMap cap(g); |
| 170 | 175 |
std::istringstream input(test_lgf); |
| 171 | 176 |
DigraphReader<Digraph>(g,input). |
| 172 | 177 |
arcMap("capacity", cap).
|
| 173 | 178 |
node("source",s).
|
| 174 | 179 |
node("target",t).
|
| 175 | 180 |
run(); |
| 176 | 181 |
|
| 177 | 182 |
PType preflow_test(g, cap, s, t); |
| 178 | 183 |
preflow_test.run(); |
| 179 | 184 |
|
| 180 | 185 |
check(checkFlow(g, preflow_test.flowMap(), cap, s, t), |
| 181 | 186 |
"The flow is not feasible."); |
| 182 | 187 |
|
| 183 | 188 |
CutMap min_cut(g); |
| 184 | 189 |
preflow_test.minCutMap(min_cut); |
| 185 | 190 |
int min_cut_value=cutValue(g,min_cut,cap); |
| 186 | 191 |
|
| 187 | 192 |
check(preflow_test.flowValue() == min_cut_value, |
| 188 | 193 |
"The max flow value is not equal to the three min cut values."); |
| 189 | 194 |
|
| 190 | 195 |
FlowMap flow(g); |
| 191 | 196 |
for(ArcIt e(g); e!=INVALID; ++e) flow[e] = preflow_test.flowMap()[e]; |
| 192 | 197 |
|
| 193 | 198 |
int flow_value=preflow_test.flowValue(); |
| 194 | 199 |
|
| 195 | 200 |
for(ArcIt e(g); e!=INVALID; ++e) cap[e]=2*cap[e]; |
| 196 | 201 |
preflow_test.init(flow); |
| 197 | 202 |
preflow_test.startFirstPhase(); |
| 198 | 203 |
|
| 199 | 204 |
CutMap min_cut1(g); |
| 200 | 205 |
preflow_test.minCutMap(min_cut1); |
| 201 | 206 |
min_cut_value=cutValue(g,min_cut1,cap); |
| 202 | 207 |
|
| 203 | 208 |
check(preflow_test.flowValue() == min_cut_value && |
| 204 | 209 |
min_cut_value == 2*flow_value, |
| 205 | 210 |
"The max flow value or the min cut value is wrong."); |
| 206 | 211 |
|
| 207 | 212 |
preflow_test.startSecondPhase(); |
| 208 | 213 |
|
| 209 | 214 |
check(checkFlow(g, preflow_test.flowMap(), cap, s, t), |
| 210 | 215 |
"The flow is not feasible."); |
| 211 | 216 |
|
| 212 | 217 |
CutMap min_cut2(g); |
| 213 | 218 |
preflow_test.minCutMap(min_cut2); |
| 214 | 219 |
min_cut_value=cutValue(g,min_cut2,cap); |
| 215 | 220 |
|
| 216 | 221 |
check(preflow_test.flowValue() == min_cut_value && |
| 217 | 222 |
min_cut_value == 2*flow_value, |
| 218 | 223 |
"The max flow value or the three min cut values were not doubled"); |
| 219 | 224 |
|
| 220 | 225 |
|
| 221 | 226 |
preflow_test.flowMap(flow); |
| 222 | 227 |
|
| 223 | 228 |
NodeIt tmp1(g,s); |
| 224 | 229 |
++tmp1; |
| 225 | 230 |
if ( tmp1 != INVALID ) s=tmp1; |
| 226 | 231 |
|
| 227 | 232 |
NodeIt tmp2(g,t); |
| 228 | 233 |
++tmp2; |
| 229 | 234 |
if ( tmp2 != INVALID ) t=tmp2; |
| 230 | 235 |
|
| 231 | 236 |
preflow_test.source(s); |
| 232 | 237 |
preflow_test.target(t); |
| 233 | 238 |
|
| 234 | 239 |
preflow_test.run(); |
| 235 | 240 |
|
| 236 | 241 |
CutMap min_cut3(g); |
| 237 | 242 |
preflow_test.minCutMap(min_cut3); |
| 238 | 243 |
min_cut_value=cutValue(g,min_cut3,cap); |
| 239 | 244 |
|
| 240 | 245 |
|
| 241 | 246 |
check(preflow_test.flowValue() == min_cut_value, |
| 242 | 247 |
"The max flow value or the three min cut values are incorrect."); |
| 243 | 248 |
|
| 244 | 249 |
return 0; |
| 245 | 250 |
} |
| 1 | 1 |
#!/bin/bash |
| 2 | 2 |
|
| 3 | 3 |
set -e |
| 4 | 4 |
|
| 5 | 5 |
if [ $# -eq 0 -o x$1 = "x-h" -o x$1 = "x-help" -o x$1 = "x--help" ]; then |
| 6 | 6 |
echo "Usage:" |
| 7 | 7 |
echo " $0 source-file(s)" |
| 8 | 8 |
exit |
| 9 | 9 |
fi |
| 10 | 10 |
|
| 11 | 11 |
for i in $@ |
| 12 | 12 |
do |
| 13 | 13 |
echo Update $i... |
| 14 | 14 |
TMP=`mktemp` |
| 15 | 15 |
sed -e "s/\<undirected graph\>/_gr_aph_label_/g"\ |
| 16 | 16 |
-e "s/\<undirected graphs\>/_gr_aph_label_s/g"\ |
| 17 | 17 |
-e "s/\<undirected edge\>/_ed_ge_label_/g"\ |
| 18 | 18 |
-e "s/\<undirected edges\>/_ed_ge_label_s/g"\ |
| 19 | 19 |
-e "s/\<directed graph\>/_digr_aph_label_/g"\ |
| 20 | 20 |
-e "s/\<directed graphs\>/_digr_aph_label_s/g"\ |
| 21 | 21 |
-e "s/\<directed edge\>/_ar_c_label_/g"\ |
| 22 | 22 |
-e "s/\<directed edges\>/_ar_c_label_s/g"\ |
| 23 | 23 |
-e "s/UGraph/_Gr_aph_label_/g"\ |
| 24 | 24 |
-e "s/u[Gg]raph/_gr_aph_label_/g"\ |
| 25 | 25 |
-e "s/Graph\>/_Digr_aph_label_/g"\ |
| 26 | 26 |
-e "s/\<graph\>/_digr_aph_label_/g"\ |
| 27 | 27 |
-e "s/Graphs\>/_Digr_aph_label_s/g"\ |
| 28 | 28 |
-e "s/\<graphs\>/_digr_aph_label_s/g"\ |
| 29 | 29 |
-e "s/\([Gg]\)raph\([a-z]\)/_\1r_aph_label_\2/g"\ |
| 30 | 30 |
-e "s/\([a-z_]\)graph/\1_gr_aph_label_/g"\ |
| 31 | 31 |
-e "s/Graph/_Digr_aph_label_/g"\ |
| 32 | 32 |
-e "s/graph/_digr_aph_label_/g"\ |
| 33 | 33 |
-e "s/UEdge/_Ed_ge_label_/g"\ |
| 34 | 34 |
-e "s/u[Ee]dge/_ed_ge_label_/g"\ |
| 35 | 35 |
-e "s/IncEdgeIt/_In_cEd_geIt_label_/g"\ |
| 36 | 36 |
-e "s/Edge\>/_Ar_c_label_/g"\ |
| 37 | 37 |
-e "s/\<edge\>/_ar_c_label_/g"\ |
| 38 |
-e "s/_edge\>/ |
|
| 38 |
-e "s/_edge\>/__ar_c_label_/g"\ |
|
| 39 | 39 |
-e "s/Edges\>/_Ar_c_label_s/g"\ |
| 40 | 40 |
-e "s/\<edges\>/_ar_c_label_s/g"\ |
| 41 |
-e "s/_edges\>/ |
|
| 41 |
-e "s/_edges\>/__ar_c_label_s/g"\ |
|
| 42 | 42 |
-e "s/\([Ee]\)dge\([a-z]\)/_\1d_ge_label_\2/g"\ |
| 43 | 43 |
-e "s/\([a-z]\)edge/\1_ed_ge_label_/g"\ |
| 44 | 44 |
-e "s/Edge/_Ar_c_label_/g"\ |
| 45 | 45 |
-e "s/edge/_ar_c_label_/g"\ |
| 46 | 46 |
-e "s/A[Nn]ode/_Re_d_label_/g"\ |
| 47 | 47 |
-e "s/B[Nn]ode/_Blu_e_label_/g"\ |
| 48 | 48 |
-e "s/A-[Nn]ode/_Re_d_label_/g"\ |
| 49 | 49 |
-e "s/B-[Nn]ode/_Blu_e_label_/g"\ |
| 50 | 50 |
-e "s/a[Nn]ode/_re_d_label_/g"\ |
| 51 | 51 |
-e "s/b[Nn]ode/_blu_e_label_/g"\ |
| 52 | 52 |
-e "s/\<UGRAPH_TYPEDEFS\([ \t]*([ \t]*\)typename[ \t]/TEMPLATE__GR_APH_TY_PEDE_FS_label_\1/g"\ |
| 53 | 53 |
-e "s/\<GRAPH_TYPEDEFS\([ \t]*([ \t]*\)typename[ \t]/TEMPLATE__DIGR_APH_TY_PEDE_FS_label_\1/g"\ |
| 54 | 54 |
-e "s/\<UGRAPH_TYPEDEFS\>/_GR_APH_TY_PEDE_FS_label_/g"\ |
| 55 | 55 |
-e "s/\<GRAPH_TYPEDEFS\>/_DIGR_APH_TY_PEDE_FS_label_/g"\ |
| 56 | 56 |
-e "s/_Digr_aph_label_/Digraph/g"\ |
| 57 | 57 |
-e "s/_digr_aph_label_/digraph/g"\ |
| 58 | 58 |
-e "s/_Gr_aph_label_/Graph/g"\ |
| 59 | 59 |
-e "s/_gr_aph_label_/graph/g"\ |
| 60 | 60 |
-e "s/_Ar_c_label_/Arc/g"\ |
| 61 | 61 |
-e "s/_ar_c_label_/arc/g"\ |
| 62 | 62 |
-e "s/_Ed_ge_label_/Edge/g"\ |
| 63 | 63 |
-e "s/_ed_ge_label_/edge/g"\ |
| 64 | 64 |
-e "s/_In_cEd_geIt_label_/IncEdgeIt/g"\ |
| 65 | 65 |
-e "s/_Re_d_label_/Red/g"\ |
| 66 | 66 |
-e "s/_Blu_e_label_/Blue/g"\ |
| 67 | 67 |
-e "s/_re_d_label_/red/g"\ |
| 68 | 68 |
-e "s/_blu_e_label_/blue/g"\ |
| 69 | 69 |
-e "s/_GR_APH_TY_PEDE_FS_label_/GRAPH_TYPEDEFS/g"\ |
| 70 | 70 |
-e "s/_DIGR_APH_TY_PEDE_FS_label_/DIGRAPH_TYPEDEFS/g"\ |
| 71 |
-e "s/\<digraph_adaptor\.h\>/adaptors.h/g"\ |
|
| 72 |
-e "s/\<digraph_utils\.h\>/core.h/g"\ |
|
| 73 |
-e "s/\<digraph_reader\.h\>/lgf_reader.h/g"\ |
|
| 74 |
-e "s/\<digraph_writer\.h\>/lgf_writer.h/g"\ |
|
| 75 |
-e "s/\<topology\.h\>/connectivity.h/g"\ |
|
| 71 | 76 |
-e "s/DigraphToEps/GraphToEps/g"\ |
| 72 | 77 |
-e "s/digraphToEps/graphToEps/g"\ |
| 73 | 78 |
-e "s/\<DefPredMap\>/SetPredMap/g"\ |
| 74 | 79 |
-e "s/\<DefDistMap\>/SetDistMap/g"\ |
| 75 | 80 |
-e "s/\<DefReachedMap\>/SetReachedMap/g"\ |
| 76 | 81 |
-e "s/\<DefProcessedMap\>/SetProcessedMap/g"\ |
| 77 | 82 |
-e "s/\<DefHeap\>/SetHeap/g"\ |
| 78 | 83 |
-e "s/\<DefStandardHeap\>/SetStandradHeap/g"\ |
| 79 | 84 |
-e "s/\<DefOperationTraits\>/SetOperationTraits/g"\ |
| 80 | 85 |
-e "s/\<DefProcessedMapToBeDefaultMap\>/SetStandardProcessedMap/g"\ |
| 81 | 86 |
-e "s/\<copyGraph\>/graphCopy/g"\ |
| 82 | 87 |
-e "s/\<copyDigraph\>/digraphCopy/g"\ |
| 83 | 88 |
-e "s/\<HyperCubeDigraph\>/HypercubeGraph/g"\ |
| 84 | 89 |
-e "s/\<IntegerMap\>/RangeMap/g"\ |
| 85 | 90 |
-e "s/\<integerMap\>/rangeMap/g"\ |
| 86 | 91 |
-e "s/\<\([sS]\)tdMap\>/\1parseMap/g"\ |
| 87 | 92 |
-e "s/\<\([Ff]\)unctorMap\>/\1unctorToMap/g"\ |
| 88 | 93 |
-e "s/\<\([Mm]\)apFunctor\>/\1apToFunctor/g"\ |
| 89 | 94 |
-e "s/\<\([Ff]\)orkWriteMap\>/\1orkMap/g"\ |
| 90 | 95 |
-e "s/\<StoreBoolMap\>/LoggerBoolMap/g"\ |
| 91 | 96 |
-e "s/\<storeBoolMap\>/loggerBoolMap/g"\ |
| 92 | 97 |
-e "s/\<InvertableMap\>/CrossRefMap/g"\ |
| 93 | 98 |
-e "s/\<invertableMap\>/crossRefMap/g"\ |
| 94 | 99 |
-e "s/\<DescriptorMap\>/RangeIdMap/g"\ |
| 95 | 100 |
-e "s/\<descriptorMap\>/rangeIdMap/g"\ |
| 96 | 101 |
-e "s/\<BoundingBox\>/Box/g"\ |
| 97 | 102 |
-e "s/\<readNauty\>/readNautyGraph/g"\ |
| 98 | 103 |
-e "s/\<RevDigraphAdaptor\>/ReverseDigraph/g"\ |
| 99 | 104 |
-e "s/\<revDigraphAdaptor\>/reverseDigraph/g"\ |
| 100 | 105 |
-e "s/\<SubDigraphAdaptor\>/SubDigraph/g"\ |
| 101 | 106 |
-e "s/\<subDigraphAdaptor\>/subDigraph/g"\ |
| 102 | 107 |
-e "s/\<SubGraphAdaptor\>/SubGraph/g"\ |
| 103 | 108 |
-e "s/\<subGraphAdaptor\>/subGraph/g"\ |
| 104 | 109 |
-e "s/\<NodeSubDigraphAdaptor\>/FilterNodes/g"\ |
| 105 | 110 |
-e "s/\<nodeSubDigraphAdaptor\>/filterNodes/g"\ |
| 106 | 111 |
-e "s/\<ArcSubDigraphAdaptor\>/FilterArcs/g"\ |
| 107 | 112 |
-e "s/\<arcSubDigraphAdaptor\>/filterArcs/g"\ |
| 108 | 113 |
-e "s/\<UndirDigraphAdaptor\>/Undirector/g"\ |
| 109 | 114 |
-e "s/\<undirDigraphAdaptor\>/undirector/g"\ |
| 110 | 115 |
-e "s/\<ResDigraphAdaptor\>/ResidualDigraph/g"\ |
| 111 | 116 |
-e "s/\<resDigraphAdaptor\>/residualDigraph/g"\ |
| 112 | 117 |
-e "s/\<SplitDigraphAdaptor\>/SplitNodes/g"\ |
| 113 | 118 |
-e "s/\<splitDigraphAdaptor\>/splitNodes/g"\ |
| 114 | 119 |
-e "s/\<SubGraphAdaptor\>/SubGraph/g"\ |
| 115 | 120 |
-e "s/\<subGraphAdaptor\>/subGraph/g"\ |
| 116 | 121 |
-e "s/\<NodeSubGraphAdaptor\>/FilterNodes/g"\ |
| 117 | 122 |
-e "s/\<nodeSubGraphAdaptor\>/filterNodes/g"\ |
| 118 | 123 |
-e "s/\<ArcSubGraphAdaptor\>/FilterEdges/g"\ |
| 119 | 124 |
-e "s/\<arcSubGraphAdaptor\>/filterEdges/g"\ |
| 120 | 125 |
-e "s/\<DirGraphAdaptor\>/Orienter/g"\ |
| 121 | 126 |
-e "s/\<dirGraphAdaptor\>/orienter/g"\ |
| 122 | 127 |
-e "s/\<LpCplex\>/CplexLp/g"\ |
| 123 | 128 |
-e "s/\<MipCplex\>/CplexMip/g"\ |
| 124 | 129 |
-e "s/\<LpGlpk\>/GlpkLp/g"\ |
| 125 | 130 |
-e "s/\<MipGlpk\>/GlpkMip/g"\ |
| 126 | 131 |
-e "s/\<LpSoplex\>/SoplexLp/g"\ |
| 127 | 132 |
<$i > $TMP |
| 128 | 133 |
mv $TMP $i |
| 129 | 134 |
done |
0 comments (0 inline)