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4
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| ... | ... |
@@ -189,192 +189,210 @@ |
| 189 | 189 |
// The processed nodes in the last round |
| 190 | 190 |
std::vector<Node> _process; |
| 191 | 191 |
|
| 192 | 192 |
Tolerance _tolerance; |
| 193 | 193 |
|
| 194 | 194 |
// Infinite constant |
| 195 | 195 |
const LargeValue INF; |
| 196 | 196 |
|
| 197 | 197 |
public: |
| 198 | 198 |
|
| 199 | 199 |
/// \name Named Template Parameters |
| 200 | 200 |
/// @{
|
| 201 | 201 |
|
| 202 | 202 |
template <typename T> |
| 203 | 203 |
struct SetLargeValueTraits : public Traits {
|
| 204 | 204 |
typedef T LargeValue; |
| 205 | 205 |
typedef lemon::Tolerance<T> Tolerance; |
| 206 | 206 |
}; |
| 207 | 207 |
|
| 208 | 208 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 209 | 209 |
/// \c LargeValue type. |
| 210 | 210 |
/// |
| 211 | 211 |
/// \ref named-templ-param "Named parameter" for setting \c LargeValue |
| 212 | 212 |
/// type. It is used for internal computations in the algorithm. |
| 213 | 213 |
template <typename T> |
| 214 | 214 |
struct SetLargeValue |
| 215 | 215 |
: public HartmannOrlin<GR, LEN, SetLargeValueTraits<T> > {
|
| 216 | 216 |
typedef HartmannOrlin<GR, LEN, SetLargeValueTraits<T> > Create; |
| 217 | 217 |
}; |
| 218 | 218 |
|
| 219 | 219 |
template <typename T> |
| 220 | 220 |
struct SetPathTraits : public Traits {
|
| 221 | 221 |
typedef T Path; |
| 222 | 222 |
}; |
| 223 | 223 |
|
| 224 | 224 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 225 | 225 |
/// \c %Path type. |
| 226 | 226 |
/// |
| 227 | 227 |
/// \ref named-templ-param "Named parameter" for setting the \c %Path |
| 228 | 228 |
/// type of the found cycles. |
| 229 | 229 |
/// It must conform to the \ref lemon::concepts::Path "Path" concept |
| 230 | 230 |
/// and it must have an \c addFront() function. |
| 231 | 231 |
template <typename T> |
| 232 | 232 |
struct SetPath |
| 233 | 233 |
: public HartmannOrlin<GR, LEN, SetPathTraits<T> > {
|
| 234 | 234 |
typedef HartmannOrlin<GR, LEN, SetPathTraits<T> > Create; |
| 235 | 235 |
}; |
| 236 | 236 |
|
| 237 | 237 |
/// @} |
| 238 | 238 |
|
| 239 | 239 |
public: |
| 240 | 240 |
|
| 241 | 241 |
/// \brief Constructor. |
| 242 | 242 |
/// |
| 243 | 243 |
/// The constructor of the class. |
| 244 | 244 |
/// |
| 245 | 245 |
/// \param digraph The digraph the algorithm runs on. |
| 246 | 246 |
/// \param length The lengths (costs) of the arcs. |
| 247 | 247 |
HartmannOrlin( const Digraph &digraph, |
| 248 | 248 |
const LengthMap &length ) : |
| 249 | 249 |
_gr(digraph), _length(length), _comp(digraph), _out_arcs(digraph), |
| 250 | 250 |
_best_found(false), _best_length(0), _best_size(1), |
| 251 | 251 |
_cycle_path(NULL), _local_path(false), _data(digraph), |
| 252 | 252 |
INF(std::numeric_limits<LargeValue>::has_infinity ? |
| 253 | 253 |
std::numeric_limits<LargeValue>::infinity() : |
| 254 | 254 |
std::numeric_limits<LargeValue>::max()) |
| 255 | 255 |
{}
|
| 256 | 256 |
|
| 257 | 257 |
/// Destructor. |
| 258 | 258 |
~HartmannOrlin() {
|
| 259 | 259 |
if (_local_path) delete _cycle_path; |
| 260 | 260 |
} |
| 261 | 261 |
|
| 262 | 262 |
/// \brief Set the path structure for storing the found cycle. |
| 263 | 263 |
/// |
| 264 | 264 |
/// This function sets an external path structure for storing the |
| 265 | 265 |
/// found cycle. |
| 266 | 266 |
/// |
| 267 | 267 |
/// If you don't call this function before calling \ref run() or |
| 268 | 268 |
/// \ref findMinMean(), it will allocate a local \ref Path "path" |
| 269 | 269 |
/// structure. The destuctor deallocates this automatically |
| 270 | 270 |
/// allocated object, of course. |
| 271 | 271 |
/// |
| 272 | 272 |
/// \note The algorithm calls only the \ref lemon::Path::addFront() |
| 273 | 273 |
/// "addFront()" function of the given path structure. |
| 274 | 274 |
/// |
| 275 | 275 |
/// \return <tt>(*this)</tt> |
| 276 | 276 |
HartmannOrlin& cycle(Path &path) {
|
| 277 | 277 |
if (_local_path) {
|
| 278 | 278 |
delete _cycle_path; |
| 279 | 279 |
_local_path = false; |
| 280 | 280 |
} |
| 281 | 281 |
_cycle_path = &path; |
| 282 | 282 |
return *this; |
| 283 | 283 |
} |
| 284 | 284 |
|
| 285 |
/// \brief Set the tolerance used by the algorithm. |
|
| 286 |
/// |
|
| 287 |
/// This function sets the tolerance object used by the algorithm. |
|
| 288 |
/// |
|
| 289 |
/// \return <tt>(*this)</tt> |
|
| 290 |
HartmannOrlin& tolerance(const Tolerance& tolerance) {
|
|
| 291 |
_tolerance = tolerance; |
|
| 292 |
return *this; |
|
| 293 |
} |
|
| 294 |
|
|
| 295 |
/// \brief Return a const reference to the tolerance. |
|
| 296 |
/// |
|
| 297 |
/// This function returns a const reference to the tolerance object |
|
| 298 |
/// used by the algorithm. |
|
| 299 |
const Tolerance& tolerance() const {
|
|
| 300 |
return _tolerance; |
|
| 301 |
} |
|
| 302 |
|
|
| 285 | 303 |
/// \name Execution control |
| 286 | 304 |
/// The simplest way to execute the algorithm is to call the \ref run() |
| 287 | 305 |
/// function.\n |
| 288 | 306 |
/// If you only need the minimum mean length, you may call |
| 289 | 307 |
/// \ref findMinMean(). |
| 290 | 308 |
|
| 291 | 309 |
/// @{
|
| 292 | 310 |
|
| 293 | 311 |
/// \brief Run the algorithm. |
| 294 | 312 |
/// |
| 295 | 313 |
/// This function runs the algorithm. |
| 296 | 314 |
/// It can be called more than once (e.g. if the underlying digraph |
| 297 | 315 |
/// and/or the arc lengths have been modified). |
| 298 | 316 |
/// |
| 299 | 317 |
/// \return \c true if a directed cycle exists in the digraph. |
| 300 | 318 |
/// |
| 301 | 319 |
/// \note <tt>mmc.run()</tt> is just a shortcut of the following code. |
| 302 | 320 |
/// \code |
| 303 | 321 |
/// return mmc.findMinMean() && mmc.findCycle(); |
| 304 | 322 |
/// \endcode |
| 305 | 323 |
bool run() {
|
| 306 | 324 |
return findMinMean() && findCycle(); |
| 307 | 325 |
} |
| 308 | 326 |
|
| 309 | 327 |
/// \brief Find the minimum cycle mean. |
| 310 | 328 |
/// |
| 311 | 329 |
/// This function finds the minimum mean length of the directed |
| 312 | 330 |
/// cycles in the digraph. |
| 313 | 331 |
/// |
| 314 | 332 |
/// \return \c true if a directed cycle exists in the digraph. |
| 315 | 333 |
bool findMinMean() {
|
| 316 | 334 |
// Initialization and find strongly connected components |
| 317 | 335 |
init(); |
| 318 | 336 |
findComponents(); |
| 319 | 337 |
|
| 320 | 338 |
// Find the minimum cycle mean in the components |
| 321 | 339 |
for (int comp = 0; comp < _comp_num; ++comp) {
|
| 322 | 340 |
if (!initComponent(comp)) continue; |
| 323 | 341 |
processRounds(); |
| 324 | 342 |
|
| 325 | 343 |
// Update the best cycle (global minimum mean cycle) |
| 326 | 344 |
if ( _curr_found && (!_best_found || |
| 327 | 345 |
_curr_length * _best_size < _best_length * _curr_size) ) {
|
| 328 | 346 |
_best_found = true; |
| 329 | 347 |
_best_length = _curr_length; |
| 330 | 348 |
_best_size = _curr_size; |
| 331 | 349 |
_best_node = _curr_node; |
| 332 | 350 |
_best_level = _curr_level; |
| 333 | 351 |
} |
| 334 | 352 |
} |
| 335 | 353 |
return _best_found; |
| 336 | 354 |
} |
| 337 | 355 |
|
| 338 | 356 |
/// \brief Find a minimum mean directed cycle. |
| 339 | 357 |
/// |
| 340 | 358 |
/// This function finds a directed cycle of minimum mean length |
| 341 | 359 |
/// in the digraph using the data computed by findMinMean(). |
| 342 | 360 |
/// |
| 343 | 361 |
/// \return \c true if a directed cycle exists in the digraph. |
| 344 | 362 |
/// |
| 345 | 363 |
/// \pre \ref findMinMean() must be called before using this function. |
| 346 | 364 |
bool findCycle() {
|
| 347 | 365 |
if (!_best_found) return false; |
| 348 | 366 |
IntNodeMap reached(_gr, -1); |
| 349 | 367 |
int r = _best_level + 1; |
| 350 | 368 |
Node u = _best_node; |
| 351 | 369 |
while (reached[u] < 0) {
|
| 352 | 370 |
reached[u] = --r; |
| 353 | 371 |
u = _gr.source(_data[u][r].pred); |
| 354 | 372 |
} |
| 355 | 373 |
r = reached[u]; |
| 356 | 374 |
Arc e = _data[u][r].pred; |
| 357 | 375 |
_cycle_path->addFront(e); |
| 358 | 376 |
_best_length = _length[e]; |
| 359 | 377 |
_best_size = 1; |
| 360 | 378 |
Node v; |
| 361 | 379 |
while ((v = _gr.source(e)) != u) {
|
| 362 | 380 |
e = _data[v][--r].pred; |
| 363 | 381 |
_cycle_path->addFront(e); |
| 364 | 382 |
_best_length += _length[e]; |
| 365 | 383 |
++_best_size; |
| 366 | 384 |
} |
| 367 | 385 |
return true; |
| 368 | 386 |
} |
| 369 | 387 |
|
| 370 | 388 |
/// @} |
| 371 | 389 |
|
| 372 | 390 |
/// \name Query Functions |
| 373 | 391 |
/// The results of the algorithm can be obtained using these |
| 374 | 392 |
/// functions.\n |
| 375 | 393 |
/// The algorithm should be executed before using them. |
| 376 | 394 |
|
| 377 | 395 |
/// @{
|
| 378 | 396 |
|
| 379 | 397 |
/// \brief Return the total length of the found cycle. |
| 380 | 398 |
/// |
| ... | ... |
@@ -180,192 +180,210 @@ |
| 180 | 180 |
int _qfront, _qback; |
| 181 | 181 |
|
| 182 | 182 |
Tolerance _tolerance; |
| 183 | 183 |
|
| 184 | 184 |
// Infinite constant |
| 185 | 185 |
const LargeValue INF; |
| 186 | 186 |
|
| 187 | 187 |
public: |
| 188 | 188 |
|
| 189 | 189 |
/// \name Named Template Parameters |
| 190 | 190 |
/// @{
|
| 191 | 191 |
|
| 192 | 192 |
template <typename T> |
| 193 | 193 |
struct SetLargeValueTraits : public Traits {
|
| 194 | 194 |
typedef T LargeValue; |
| 195 | 195 |
typedef lemon::Tolerance<T> Tolerance; |
| 196 | 196 |
}; |
| 197 | 197 |
|
| 198 | 198 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 199 | 199 |
/// \c LargeValue type. |
| 200 | 200 |
/// |
| 201 | 201 |
/// \ref named-templ-param "Named parameter" for setting \c LargeValue |
| 202 | 202 |
/// type. It is used for internal computations in the algorithm. |
| 203 | 203 |
template <typename T> |
| 204 | 204 |
struct SetLargeValue |
| 205 | 205 |
: public Howard<GR, LEN, SetLargeValueTraits<T> > {
|
| 206 | 206 |
typedef Howard<GR, LEN, SetLargeValueTraits<T> > Create; |
| 207 | 207 |
}; |
| 208 | 208 |
|
| 209 | 209 |
template <typename T> |
| 210 | 210 |
struct SetPathTraits : public Traits {
|
| 211 | 211 |
typedef T Path; |
| 212 | 212 |
}; |
| 213 | 213 |
|
| 214 | 214 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 215 | 215 |
/// \c %Path type. |
| 216 | 216 |
/// |
| 217 | 217 |
/// \ref named-templ-param "Named parameter" for setting the \c %Path |
| 218 | 218 |
/// type of the found cycles. |
| 219 | 219 |
/// It must conform to the \ref lemon::concepts::Path "Path" concept |
| 220 | 220 |
/// and it must have an \c addBack() function. |
| 221 | 221 |
template <typename T> |
| 222 | 222 |
struct SetPath |
| 223 | 223 |
: public Howard<GR, LEN, SetPathTraits<T> > {
|
| 224 | 224 |
typedef Howard<GR, LEN, SetPathTraits<T> > Create; |
| 225 | 225 |
}; |
| 226 | 226 |
|
| 227 | 227 |
/// @} |
| 228 | 228 |
|
| 229 | 229 |
public: |
| 230 | 230 |
|
| 231 | 231 |
/// \brief Constructor. |
| 232 | 232 |
/// |
| 233 | 233 |
/// The constructor of the class. |
| 234 | 234 |
/// |
| 235 | 235 |
/// \param digraph The digraph the algorithm runs on. |
| 236 | 236 |
/// \param length The lengths (costs) of the arcs. |
| 237 | 237 |
Howard( const Digraph &digraph, |
| 238 | 238 |
const LengthMap &length ) : |
| 239 | 239 |
_gr(digraph), _length(length), _best_found(false), |
| 240 | 240 |
_best_length(0), _best_size(1), _cycle_path(NULL), _local_path(false), |
| 241 | 241 |
_policy(digraph), _reached(digraph), _level(digraph), _dist(digraph), |
| 242 | 242 |
_comp(digraph), _in_arcs(digraph), |
| 243 | 243 |
INF(std::numeric_limits<LargeValue>::has_infinity ? |
| 244 | 244 |
std::numeric_limits<LargeValue>::infinity() : |
| 245 | 245 |
std::numeric_limits<LargeValue>::max()) |
| 246 | 246 |
{}
|
| 247 | 247 |
|
| 248 | 248 |
/// Destructor. |
| 249 | 249 |
~Howard() {
|
| 250 | 250 |
if (_local_path) delete _cycle_path; |
| 251 | 251 |
} |
| 252 | 252 |
|
| 253 | 253 |
/// \brief Set the path structure for storing the found cycle. |
| 254 | 254 |
/// |
| 255 | 255 |
/// This function sets an external path structure for storing the |
| 256 | 256 |
/// found cycle. |
| 257 | 257 |
/// |
| 258 | 258 |
/// If you don't call this function before calling \ref run() or |
| 259 | 259 |
/// \ref findMinMean(), it will allocate a local \ref Path "path" |
| 260 | 260 |
/// structure. The destuctor deallocates this automatically |
| 261 | 261 |
/// allocated object, of course. |
| 262 | 262 |
/// |
| 263 | 263 |
/// \note The algorithm calls only the \ref lemon::Path::addBack() |
| 264 | 264 |
/// "addBack()" function of the given path structure. |
| 265 | 265 |
/// |
| 266 | 266 |
/// \return <tt>(*this)</tt> |
| 267 | 267 |
Howard& cycle(Path &path) {
|
| 268 | 268 |
if (_local_path) {
|
| 269 | 269 |
delete _cycle_path; |
| 270 | 270 |
_local_path = false; |
| 271 | 271 |
} |
| 272 | 272 |
_cycle_path = &path; |
| 273 | 273 |
return *this; |
| 274 | 274 |
} |
| 275 | 275 |
|
| 276 |
/// \brief Set the tolerance used by the algorithm. |
|
| 277 |
/// |
|
| 278 |
/// This function sets the tolerance object used by the algorithm. |
|
| 279 |
/// |
|
| 280 |
/// \return <tt>(*this)</tt> |
|
| 281 |
Howard& tolerance(const Tolerance& tolerance) {
|
|
| 282 |
_tolerance = tolerance; |
|
| 283 |
return *this; |
|
| 284 |
} |
|
| 285 |
|
|
| 286 |
/// \brief Return a const reference to the tolerance. |
|
| 287 |
/// |
|
| 288 |
/// This function returns a const reference to the tolerance object |
|
| 289 |
/// used by the algorithm. |
|
| 290 |
const Tolerance& tolerance() const {
|
|
| 291 |
return _tolerance; |
|
| 292 |
} |
|
| 293 |
|
|
| 276 | 294 |
/// \name Execution control |
| 277 | 295 |
/// The simplest way to execute the algorithm is to call the \ref run() |
| 278 | 296 |
/// function.\n |
| 279 | 297 |
/// If you only need the minimum mean length, you may call |
| 280 | 298 |
/// \ref findMinMean(). |
| 281 | 299 |
|
| 282 | 300 |
/// @{
|
| 283 | 301 |
|
| 284 | 302 |
/// \brief Run the algorithm. |
| 285 | 303 |
/// |
| 286 | 304 |
/// This function runs the algorithm. |
| 287 | 305 |
/// It can be called more than once (e.g. if the underlying digraph |
| 288 | 306 |
/// and/or the arc lengths have been modified). |
| 289 | 307 |
/// |
| 290 | 308 |
/// \return \c true if a directed cycle exists in the digraph. |
| 291 | 309 |
/// |
| 292 | 310 |
/// \note <tt>mmc.run()</tt> is just a shortcut of the following code. |
| 293 | 311 |
/// \code |
| 294 | 312 |
/// return mmc.findMinMean() && mmc.findCycle(); |
| 295 | 313 |
/// \endcode |
| 296 | 314 |
bool run() {
|
| 297 | 315 |
return findMinMean() && findCycle(); |
| 298 | 316 |
} |
| 299 | 317 |
|
| 300 | 318 |
/// \brief Find the minimum cycle mean. |
| 301 | 319 |
/// |
| 302 | 320 |
/// This function finds the minimum mean length of the directed |
| 303 | 321 |
/// cycles in the digraph. |
| 304 | 322 |
/// |
| 305 | 323 |
/// \return \c true if a directed cycle exists in the digraph. |
| 306 | 324 |
bool findMinMean() {
|
| 307 | 325 |
// Initialize and find strongly connected components |
| 308 | 326 |
init(); |
| 309 | 327 |
findComponents(); |
| 310 | 328 |
|
| 311 | 329 |
// Find the minimum cycle mean in the components |
| 312 | 330 |
for (int comp = 0; comp < _comp_num; ++comp) {
|
| 313 | 331 |
// Find the minimum mean cycle in the current component |
| 314 | 332 |
if (!buildPolicyGraph(comp)) continue; |
| 315 | 333 |
while (true) {
|
| 316 | 334 |
findPolicyCycle(); |
| 317 | 335 |
if (!computeNodeDistances()) break; |
| 318 | 336 |
} |
| 319 | 337 |
// Update the best cycle (global minimum mean cycle) |
| 320 | 338 |
if ( _curr_found && (!_best_found || |
| 321 | 339 |
_curr_length * _best_size < _best_length * _curr_size) ) {
|
| 322 | 340 |
_best_found = true; |
| 323 | 341 |
_best_length = _curr_length; |
| 324 | 342 |
_best_size = _curr_size; |
| 325 | 343 |
_best_node = _curr_node; |
| 326 | 344 |
} |
| 327 | 345 |
} |
| 328 | 346 |
return _best_found; |
| 329 | 347 |
} |
| 330 | 348 |
|
| 331 | 349 |
/// \brief Find a minimum mean directed cycle. |
| 332 | 350 |
/// |
| 333 | 351 |
/// This function finds a directed cycle of minimum mean length |
| 334 | 352 |
/// in the digraph using the data computed by findMinMean(). |
| 335 | 353 |
/// |
| 336 | 354 |
/// \return \c true if a directed cycle exists in the digraph. |
| 337 | 355 |
/// |
| 338 | 356 |
/// \pre \ref findMinMean() must be called before using this function. |
| 339 | 357 |
bool findCycle() {
|
| 340 | 358 |
if (!_best_found) return false; |
| 341 | 359 |
_cycle_path->addBack(_policy[_best_node]); |
| 342 | 360 |
for ( Node v = _best_node; |
| 343 | 361 |
(v = _gr.target(_policy[v])) != _best_node; ) {
|
| 344 | 362 |
_cycle_path->addBack(_policy[v]); |
| 345 | 363 |
} |
| 346 | 364 |
return true; |
| 347 | 365 |
} |
| 348 | 366 |
|
| 349 | 367 |
/// @} |
| 350 | 368 |
|
| 351 | 369 |
/// \name Query Functions |
| 352 | 370 |
/// The results of the algorithm can be obtained using these |
| 353 | 371 |
/// functions.\n |
| 354 | 372 |
/// The algorithm should be executed before using them. |
| 355 | 373 |
|
| 356 | 374 |
/// @{
|
| 357 | 375 |
|
| 358 | 376 |
/// \brief Return the total length of the found cycle. |
| 359 | 377 |
/// |
| 360 | 378 |
/// This function returns the total length of the found cycle. |
| 361 | 379 |
/// |
| 362 | 380 |
/// \pre \ref run() or \ref findMinMean() must be called before |
| 363 | 381 |
/// using this function. |
| 364 | 382 |
LargeValue cycleLength() const {
|
| 365 | 383 |
return _best_length; |
| 366 | 384 |
} |
| 367 | 385 |
|
| 368 | 386 |
/// \brief Return the number of arcs on the found cycle. |
| 369 | 387 |
/// |
| 370 | 388 |
/// This function returns the number of arcs on the found cycle. |
| 371 | 389 |
/// |
| ... | ... |
@@ -185,192 +185,210 @@ |
| 185 | 185 |
// The processed nodes in the last round |
| 186 | 186 |
std::vector<Node> _process; |
| 187 | 187 |
|
| 188 | 188 |
Tolerance _tolerance; |
| 189 | 189 |
|
| 190 | 190 |
// Infinite constant |
| 191 | 191 |
const LargeValue INF; |
| 192 | 192 |
|
| 193 | 193 |
public: |
| 194 | 194 |
|
| 195 | 195 |
/// \name Named Template Parameters |
| 196 | 196 |
/// @{
|
| 197 | 197 |
|
| 198 | 198 |
template <typename T> |
| 199 | 199 |
struct SetLargeValueTraits : public Traits {
|
| 200 | 200 |
typedef T LargeValue; |
| 201 | 201 |
typedef lemon::Tolerance<T> Tolerance; |
| 202 | 202 |
}; |
| 203 | 203 |
|
| 204 | 204 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 205 | 205 |
/// \c LargeValue type. |
| 206 | 206 |
/// |
| 207 | 207 |
/// \ref named-templ-param "Named parameter" for setting \c LargeValue |
| 208 | 208 |
/// type. It is used for internal computations in the algorithm. |
| 209 | 209 |
template <typename T> |
| 210 | 210 |
struct SetLargeValue |
| 211 | 211 |
: public Karp<GR, LEN, SetLargeValueTraits<T> > {
|
| 212 | 212 |
typedef Karp<GR, LEN, SetLargeValueTraits<T> > Create; |
| 213 | 213 |
}; |
| 214 | 214 |
|
| 215 | 215 |
template <typename T> |
| 216 | 216 |
struct SetPathTraits : public Traits {
|
| 217 | 217 |
typedef T Path; |
| 218 | 218 |
}; |
| 219 | 219 |
|
| 220 | 220 |
/// \brief \ref named-templ-param "Named parameter" for setting |
| 221 | 221 |
/// \c %Path type. |
| 222 | 222 |
/// |
| 223 | 223 |
/// \ref named-templ-param "Named parameter" for setting the \c %Path |
| 224 | 224 |
/// type of the found cycles. |
| 225 | 225 |
/// It must conform to the \ref lemon::concepts::Path "Path" concept |
| 226 | 226 |
/// and it must have an \c addFront() function. |
| 227 | 227 |
template <typename T> |
| 228 | 228 |
struct SetPath |
| 229 | 229 |
: public Karp<GR, LEN, SetPathTraits<T> > {
|
| 230 | 230 |
typedef Karp<GR, LEN, SetPathTraits<T> > Create; |
| 231 | 231 |
}; |
| 232 | 232 |
|
| 233 | 233 |
/// @} |
| 234 | 234 |
|
| 235 | 235 |
public: |
| 236 | 236 |
|
| 237 | 237 |
/// \brief Constructor. |
| 238 | 238 |
/// |
| 239 | 239 |
/// The constructor of the class. |
| 240 | 240 |
/// |
| 241 | 241 |
/// \param digraph The digraph the algorithm runs on. |
| 242 | 242 |
/// \param length The lengths (costs) of the arcs. |
| 243 | 243 |
Karp( const Digraph &digraph, |
| 244 | 244 |
const LengthMap &length ) : |
| 245 | 245 |
_gr(digraph), _length(length), _comp(digraph), _out_arcs(digraph), |
| 246 | 246 |
_cycle_length(0), _cycle_size(1), _cycle_node(INVALID), |
| 247 | 247 |
_cycle_path(NULL), _local_path(false), _data(digraph), |
| 248 | 248 |
INF(std::numeric_limits<LargeValue>::has_infinity ? |
| 249 | 249 |
std::numeric_limits<LargeValue>::infinity() : |
| 250 | 250 |
std::numeric_limits<LargeValue>::max()) |
| 251 | 251 |
{}
|
| 252 | 252 |
|
| 253 | 253 |
/// Destructor. |
| 254 | 254 |
~Karp() {
|
| 255 | 255 |
if (_local_path) delete _cycle_path; |
| 256 | 256 |
} |
| 257 | 257 |
|
| 258 | 258 |
/// \brief Set the path structure for storing the found cycle. |
| 259 | 259 |
/// |
| 260 | 260 |
/// This function sets an external path structure for storing the |
| 261 | 261 |
/// found cycle. |
| 262 | 262 |
/// |
| 263 | 263 |
/// If you don't call this function before calling \ref run() or |
| 264 | 264 |
/// \ref findMinMean(), it will allocate a local \ref Path "path" |
| 265 | 265 |
/// structure. The destuctor deallocates this automatically |
| 266 | 266 |
/// allocated object, of course. |
| 267 | 267 |
/// |
| 268 | 268 |
/// \note The algorithm calls only the \ref lemon::Path::addFront() |
| 269 | 269 |
/// "addFront()" function of the given path structure. |
| 270 | 270 |
/// |
| 271 | 271 |
/// \return <tt>(*this)</tt> |
| 272 | 272 |
Karp& cycle(Path &path) {
|
| 273 | 273 |
if (_local_path) {
|
| 274 | 274 |
delete _cycle_path; |
| 275 | 275 |
_local_path = false; |
| 276 | 276 |
} |
| 277 | 277 |
_cycle_path = &path; |
| 278 | 278 |
return *this; |
| 279 | 279 |
} |
| 280 | 280 |
|
| 281 |
/// \brief Set the tolerance used by the algorithm. |
|
| 282 |
/// |
|
| 283 |
/// This function sets the tolerance object used by the algorithm. |
|
| 284 |
/// |
|
| 285 |
/// \return <tt>(*this)</tt> |
|
| 286 |
Karp& tolerance(const Tolerance& tolerance) {
|
|
| 287 |
_tolerance = tolerance; |
|
| 288 |
return *this; |
|
| 289 |
} |
|
| 290 |
|
|
| 291 |
/// \brief Return a const reference to the tolerance. |
|
| 292 |
/// |
|
| 293 |
/// This function returns a const reference to the tolerance object |
|
| 294 |
/// used by the algorithm. |
|
| 295 |
const Tolerance& tolerance() const {
|
|
| 296 |
return _tolerance; |
|
| 297 |
} |
|
| 298 |
|
|
| 281 | 299 |
/// \name Execution control |
| 282 | 300 |
/// The simplest way to execute the algorithm is to call the \ref run() |
| 283 | 301 |
/// function.\n |
| 284 | 302 |
/// If you only need the minimum mean length, you may call |
| 285 | 303 |
/// \ref findMinMean(). |
| 286 | 304 |
|
| 287 | 305 |
/// @{
|
| 288 | 306 |
|
| 289 | 307 |
/// \brief Run the algorithm. |
| 290 | 308 |
/// |
| 291 | 309 |
/// This function runs the algorithm. |
| 292 | 310 |
/// It can be called more than once (e.g. if the underlying digraph |
| 293 | 311 |
/// and/or the arc lengths have been modified). |
| 294 | 312 |
/// |
| 295 | 313 |
/// \return \c true if a directed cycle exists in the digraph. |
| 296 | 314 |
/// |
| 297 | 315 |
/// \note <tt>mmc.run()</tt> is just a shortcut of the following code. |
| 298 | 316 |
/// \code |
| 299 | 317 |
/// return mmc.findMinMean() && mmc.findCycle(); |
| 300 | 318 |
/// \endcode |
| 301 | 319 |
bool run() {
|
| 302 | 320 |
return findMinMean() && findCycle(); |
| 303 | 321 |
} |
| 304 | 322 |
|
| 305 | 323 |
/// \brief Find the minimum cycle mean. |
| 306 | 324 |
/// |
| 307 | 325 |
/// This function finds the minimum mean length of the directed |
| 308 | 326 |
/// cycles in the digraph. |
| 309 | 327 |
/// |
| 310 | 328 |
/// \return \c true if a directed cycle exists in the digraph. |
| 311 | 329 |
bool findMinMean() {
|
| 312 | 330 |
// Initialization and find strongly connected components |
| 313 | 331 |
init(); |
| 314 | 332 |
findComponents(); |
| 315 | 333 |
|
| 316 | 334 |
// Find the minimum cycle mean in the components |
| 317 | 335 |
for (int comp = 0; comp < _comp_num; ++comp) {
|
| 318 | 336 |
if (!initComponent(comp)) continue; |
| 319 | 337 |
processRounds(); |
| 320 | 338 |
updateMinMean(); |
| 321 | 339 |
} |
| 322 | 340 |
return (_cycle_node != INVALID); |
| 323 | 341 |
} |
| 324 | 342 |
|
| 325 | 343 |
/// \brief Find a minimum mean directed cycle. |
| 326 | 344 |
/// |
| 327 | 345 |
/// This function finds a directed cycle of minimum mean length |
| 328 | 346 |
/// in the digraph using the data computed by findMinMean(). |
| 329 | 347 |
/// |
| 330 | 348 |
/// \return \c true if a directed cycle exists in the digraph. |
| 331 | 349 |
/// |
| 332 | 350 |
/// \pre \ref findMinMean() must be called before using this function. |
| 333 | 351 |
bool findCycle() {
|
| 334 | 352 |
if (_cycle_node == INVALID) return false; |
| 335 | 353 |
IntNodeMap reached(_gr, -1); |
| 336 | 354 |
int r = _data[_cycle_node].size(); |
| 337 | 355 |
Node u = _cycle_node; |
| 338 | 356 |
while (reached[u] < 0) {
|
| 339 | 357 |
reached[u] = --r; |
| 340 | 358 |
u = _gr.source(_data[u][r].pred); |
| 341 | 359 |
} |
| 342 | 360 |
r = reached[u]; |
| 343 | 361 |
Arc e = _data[u][r].pred; |
| 344 | 362 |
_cycle_path->addFront(e); |
| 345 | 363 |
_cycle_length = _length[e]; |
| 346 | 364 |
_cycle_size = 1; |
| 347 | 365 |
Node v; |
| 348 | 366 |
while ((v = _gr.source(e)) != u) {
|
| 349 | 367 |
e = _data[v][--r].pred; |
| 350 | 368 |
_cycle_path->addFront(e); |
| 351 | 369 |
_cycle_length += _length[e]; |
| 352 | 370 |
++_cycle_size; |
| 353 | 371 |
} |
| 354 | 372 |
return true; |
| 355 | 373 |
} |
| 356 | 374 |
|
| 357 | 375 |
/// @} |
| 358 | 376 |
|
| 359 | 377 |
/// \name Query Functions |
| 360 | 378 |
/// The results of the algorithm can be obtained using these |
| 361 | 379 |
/// functions.\n |
| 362 | 380 |
/// The algorithm should be executed before using them. |
| 363 | 381 |
|
| 364 | 382 |
/// @{
|
| 365 | 383 |
|
| 366 | 384 |
/// \brief Return the total length of the found cycle. |
| 367 | 385 |
/// |
| 368 | 386 |
/// This function returns the total length of the found cycle. |
| 369 | 387 |
/// |
| 370 | 388 |
/// \pre \ref run() or \ref findMinMean() must be called before |
| 371 | 389 |
/// using this function. |
| 372 | 390 |
LargeValue cycleLength() const {
|
| 373 | 391 |
return _cycle_length; |
| 374 | 392 |
} |
| 375 | 393 |
|
| 376 | 394 |
/// \brief Return the number of arcs on the found cycle. |
| 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 <sstream> |
| 21 | 21 |
|
| 22 | 22 |
#include <lemon/smart_graph.h> |
| 23 | 23 |
#include <lemon/lgf_reader.h> |
| 24 | 24 |
#include <lemon/path.h> |
| 25 | 25 |
#include <lemon/concepts/digraph.h> |
| 26 | 26 |
#include <lemon/concept_check.h> |
| 27 | 27 |
|
| 28 | 28 |
#include <lemon/karp.h> |
| 29 | 29 |
#include <lemon/hartmann_orlin.h> |
| 30 | 30 |
#include <lemon/howard.h> |
| 31 | 31 |
|
| 32 | 32 |
#include "test_tools.h" |
| 33 | 33 |
|
| 34 | 34 |
using namespace lemon; |
| 35 | 35 |
|
| 36 | 36 |
char test_lgf[] = |
| 37 | 37 |
"@nodes\n" |
| 38 | 38 |
"label\n" |
| 39 | 39 |
"1\n" |
| 40 | 40 |
"2\n" |
| 41 | 41 |
"3\n" |
| 42 | 42 |
"4\n" |
| 43 | 43 |
"5\n" |
| 44 | 44 |
"6\n" |
| 45 | 45 |
"7\n" |
| 46 | 46 |
"@arcs\n" |
| 47 | 47 |
" len1 len2 len3 len4 c1 c2 c3 c4\n" |
| 48 | 48 |
"1 2 1 1 1 1 0 0 0 0\n" |
| 49 | 49 |
"2 4 5 5 5 5 1 0 0 0\n" |
| 50 | 50 |
"2 3 8 8 8 8 0 0 0 0\n" |
| 51 | 51 |
"3 2 -2 0 0 0 1 0 0 0\n" |
| 52 | 52 |
"3 4 4 4 4 4 0 0 0 0\n" |
| 53 | 53 |
"3 7 -4 -4 -4 -4 0 0 0 0\n" |
| 54 | 54 |
"4 1 2 2 2 2 0 0 0 0\n" |
| 55 | 55 |
"4 3 3 3 3 3 1 0 0 0\n" |
| 56 | 56 |
"4 4 3 3 0 0 0 0 1 0\n" |
| 57 | 57 |
"5 2 4 4 4 4 0 0 0 0\n" |
| 58 | 58 |
"5 6 3 3 3 3 0 1 0 0\n" |
| 59 | 59 |
"6 5 2 2 2 2 0 1 0 0\n" |
| 60 | 60 |
"6 4 -1 -1 -1 -1 0 0 0 0\n" |
| 61 | 61 |
"6 7 1 1 1 1 0 0 0 0\n" |
| 62 | 62 |
"7 7 4 4 4 -1 0 0 0 1\n"; |
| 63 | 63 |
|
| 64 | 64 |
|
| 65 | 65 |
// Check the interface of an MMC algorithm |
| 66 | 66 |
template <typename GR, typename Value> |
| 67 | 67 |
struct MmcClassConcept |
| 68 | 68 |
{
|
| 69 | 69 |
template <typename MMC> |
| 70 | 70 |
struct Constraints {
|
| 71 | 71 |
void constraints() {
|
| 72 | 72 |
const Constraints& me = *this; |
| 73 | 73 |
|
| 74 | 74 |
typedef typename MMC |
| 75 | 75 |
::template SetPath<ListPath<GR> > |
| 76 | 76 |
::template SetLargeValue<Value> |
| 77 | 77 |
::Create MmcAlg; |
| 78 | 78 |
MmcAlg mmc(me.g, me.length); |
| 79 | 79 |
const MmcAlg& const_mmc = mmc; |
| 80 | 80 |
|
| 81 |
typename MmcAlg::Tolerance tol = const_mmc.tolerance(); |
|
| 82 |
mmc.tolerance(tol); |
|
| 83 |
|
|
| 81 | 84 |
b = mmc.cycle(p).run(); |
| 82 | 85 |
b = mmc.findMinMean(); |
| 83 | 86 |
b = mmc.findCycle(); |
| 84 | 87 |
|
| 85 | 88 |
v = const_mmc.cycleLength(); |
| 86 | 89 |
i = const_mmc.cycleArcNum(); |
| 87 | 90 |
d = const_mmc.cycleMean(); |
| 88 | 91 |
p = const_mmc.cycle(); |
| 89 | 92 |
} |
| 90 | 93 |
|
| 91 | 94 |
typedef concepts::ReadMap<typename GR::Arc, Value> LM; |
| 92 | 95 |
|
| 93 | 96 |
GR g; |
| 94 | 97 |
LM length; |
| 95 | 98 |
ListPath<GR> p; |
| 96 | 99 |
Value v; |
| 97 | 100 |
int i; |
| 98 | 101 |
double d; |
| 99 | 102 |
bool b; |
| 100 | 103 |
}; |
| 101 | 104 |
}; |
| 102 | 105 |
|
| 103 | 106 |
// Perform a test with the given parameters |
| 104 | 107 |
template <typename MMC> |
| 105 | 108 |
void checkMmcAlg(const SmartDigraph& gr, |
| 106 | 109 |
const SmartDigraph::ArcMap<int>& lm, |
| 107 | 110 |
const SmartDigraph::ArcMap<int>& cm, |
| 108 | 111 |
int length, int size) {
|
| 109 | 112 |
MMC alg(gr, lm); |
| 110 | 113 |
alg.findMinMean(); |
| 111 | 114 |
check(alg.cycleMean() == static_cast<double>(length) / size, |
| 112 | 115 |
"Wrong cycle mean"); |
| 113 | 116 |
alg.findCycle(); |
| 114 | 117 |
check(alg.cycleLength() == length && alg.cycleArcNum() == size, |
| 115 | 118 |
"Wrong path"); |
| 116 | 119 |
SmartDigraph::ArcMap<int> cycle(gr, 0); |
| 117 | 120 |
for (typename MMC::Path::ArcIt a(alg.cycle()); a != INVALID; ++a) {
|
| 118 | 121 |
++cycle[a]; |
| 119 | 122 |
} |
| 120 | 123 |
for (SmartDigraph::ArcIt a(gr); a != INVALID; ++a) {
|
| 121 | 124 |
check(cm[a] == cycle[a], "Wrong path"); |
| 122 | 125 |
} |
| 123 | 126 |
} |
| 124 | 127 |
|
| 125 | 128 |
// Class for comparing types |
| 126 | 129 |
template <typename T1, typename T2> |
| 127 | 130 |
struct IsSameType {
|
| 128 | 131 |
static const int result = 0; |
| 129 | 132 |
}; |
| 130 | 133 |
|
| 131 | 134 |
template <typename T> |
| 132 | 135 |
struct IsSameType<T,T> {
|
| 133 | 136 |
static const int result = 1; |
| 134 | 137 |
}; |
| 135 | 138 |
|
| 136 | 139 |
|
| 137 | 140 |
int main() {
|
| 138 | 141 |
#ifdef LEMON_HAVE_LONG_LONG |
| 139 | 142 |
typedef long long long_int; |
| 140 | 143 |
#else |
| 141 | 144 |
typedef long long_int; |
| 142 | 145 |
#endif |
| 143 | 146 |
|
| 144 | 147 |
// Check the interface |
| 145 | 148 |
{
|
| 146 | 149 |
typedef concepts::Digraph GR; |
| 147 | 150 |
|
| 148 | 151 |
// Karp |
| 149 | 152 |
checkConcept< MmcClassConcept<GR, int>, |
| 150 | 153 |
Karp<GR, concepts::ReadMap<GR::Arc, int> > >(); |
| 151 | 154 |
checkConcept< MmcClassConcept<GR, float>, |
| 152 | 155 |
Karp<GR, concepts::ReadMap<GR::Arc, float> > >(); |
| 153 | 156 |
|
| 154 | 157 |
// HartmannOrlin |
| 155 | 158 |
checkConcept< MmcClassConcept<GR, int>, |
| 156 | 159 |
HartmannOrlin<GR, concepts::ReadMap<GR::Arc, int> > >(); |
| 157 | 160 |
checkConcept< MmcClassConcept<GR, float>, |
| 158 | 161 |
HartmannOrlin<GR, concepts::ReadMap<GR::Arc, float> > >(); |
| 159 | 162 |
|
| 160 | 163 |
// Howard |
| 161 | 164 |
checkConcept< MmcClassConcept<GR, int>, |
| 162 | 165 |
Howard<GR, concepts::ReadMap<GR::Arc, int> > >(); |
| 163 | 166 |
checkConcept< MmcClassConcept<GR, float>, |
| 164 | 167 |
Howard<GR, concepts::ReadMap<GR::Arc, float> > >(); |
| 165 | 168 |
|
| 166 | 169 |
if (IsSameType<Howard<GR, concepts::ReadMap<GR::Arc, int> >::LargeValue, |
| 167 | 170 |
long_int>::result == 0) check(false, "Wrong LargeValue type"); |
| 168 | 171 |
if (IsSameType<Howard<GR, concepts::ReadMap<GR::Arc, float> >::LargeValue, |
| 169 | 172 |
double>::result == 0) check(false, "Wrong LargeValue type"); |
| 170 | 173 |
} |
| 171 | 174 |
|
| 172 | 175 |
// Run various tests |
| 173 | 176 |
{
|
| 174 | 177 |
typedef SmartDigraph GR; |
| 175 | 178 |
DIGRAPH_TYPEDEFS(GR); |
| 176 | 179 |
|
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