0
9
2
| 1 |
SET(COIN_ROOT_DIR "" CACHE PATH "COIN root directory") |
|
| 2 |
|
|
| 3 |
FIND_PATH(COIN_INCLUDE_DIR coin/CoinUtilsConfig.h |
|
| 4 |
PATHS ${COIN_ROOT_DIR}/include)
|
|
| 5 |
|
|
| 6 |
FIND_LIBRARY(COIN_CBC_LIBRARY libCbc |
|
| 7 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 8 |
FIND_LIBRARY(COIN_CBC_SOLVER_LIBRARY libCbcSolver |
|
| 9 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 10 |
FIND_LIBRARY(COIN_CGL_LIBRARY libCgl |
|
| 11 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 12 |
FIND_LIBRARY(COIN_CLP_LIBRARY libClp |
|
| 13 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 14 |
FIND_LIBRARY(COIN_COIN_UTILS_LIBRARY libCoinUtils |
|
| 15 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 16 |
FIND_LIBRARY(COIN_OSI_LIBRARY libOsi |
|
| 17 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 18 |
FIND_LIBRARY(COIN_OSI_CBC_LIBRARY libOsiCbc |
|
| 19 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 20 |
FIND_LIBRARY(COIN_OSI_CLP_LIBRARY libOsiClp |
|
| 21 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 22 |
FIND_LIBRARY(COIN_OSI_VOL_LIBRARY libOsiVol |
|
| 23 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 24 |
FIND_LIBRARY(COIN_VOL_LIBRARY libVol |
|
| 25 |
PATHS ${COIN_ROOT_DIR}/lib)
|
|
| 26 |
|
|
| 27 |
INCLUDE(FindPackageHandleStandardArgs) |
|
| 28 |
FIND_PACKAGE_HANDLE_STANDARD_ARGS(COIN DEFAULT_MSG |
|
| 29 |
COIN_INCLUDE_DIR |
|
| 30 |
COIN_CBC_LIBRARY |
|
| 31 |
COIN_CBC_SOLVER_LIBRARY |
|
| 32 |
COIN_CGL_LIBRARY |
|
| 33 |
COIN_CLP_LIBRARY |
|
| 34 |
COIN_COIN_UTILS_LIBRARY |
|
| 35 |
COIN_OSI_LIBRARY |
|
| 36 |
COIN_OSI_CBC_LIBRARY |
|
| 37 |
COIN_OSI_CLP_LIBRARY |
|
| 38 |
COIN_OSI_VOL_LIBRARY |
|
| 39 |
COIN_VOL_LIBRARY |
|
| 40 |
) |
|
| 41 |
|
|
| 42 |
IF(COIN_FOUND) |
|
| 43 |
SET(COIN_INCLUDE_DIRS ${COIN_INCLUDE_DIR})
|
|
| 44 |
SET(COIN_LIBRARIES "${COIN_CBC_LIBRARY};${COIN_CBC_SOLVER_LIBRARY};${COIN_CGL_LIBRARY};${COIN_CLP_LIBRARY};${COIN_COIN_UTILS_LIBRARY};${COIN_OSI_LIBRARY};${COIN_OSI_CBC_LIBRARY};${COIN_OSI_CLP_LIBRARY};${COIN_OSI_VOL_LIBRARY};${COIN_VOL_LIBRARY}")
|
|
| 45 |
SET(COIN_CLP_LIBRARIES "${COIN_CLP_LIBRARY};${COIN_COIN_UTILS_LIBRARY}")
|
|
| 46 |
SET(COIN_CBC_LIBRARIES ${COIN_LIBRARIES})
|
|
| 47 |
ENDIF(COIN_FOUND) |
|
| 48 |
|
|
| 49 |
MARK_AS_ADVANCED( |
|
| 50 |
COIN_INCLUDE_DIR |
|
| 51 |
COIN_CBC_LIBRARY |
|
| 52 |
COIN_CBC_SOLVER_LIBRARY |
|
| 53 |
COIN_CGL_LIBRARY |
|
| 54 |
COIN_CLP_LIBRARY |
|
| 55 |
COIN_COIN_UTILS_LIBRARY |
|
| 56 |
COIN_OSI_LIBRARY |
|
| 57 |
COIN_OSI_CBC_LIBRARY |
|
| 58 |
COIN_OSI_CLP_LIBRARY |
|
| 59 |
COIN_OSI_VOL_LIBRARY |
|
| 60 |
COIN_VOL_LIBRARY |
|
| 61 |
) |
|
| 62 |
|
|
| 63 |
IF(COIN_FOUND) |
|
| 64 |
SET(HAVE_LP TRUE) |
|
| 65 |
SET(HAVE_MIP TRUE) |
|
| 66 |
SET(HAVE_CLP TRUE) |
|
| 67 |
SET(HAVE_CBC TRUE) |
|
| 68 |
ENDIF(COIN_FOUND) |
| 1 |
FIND_PATH(CPLEX_INCLUDE_DIR |
|
| 2 |
ilcplex/cplex.h |
|
| 3 |
PATHS "C:/ILOG/CPLEX91/include") |
|
| 4 |
|
|
| 5 |
FIND_LIBRARY(CPLEX_LIBRARY |
|
| 6 |
NAMES cplex91 |
|
| 7 |
PATHS "C:/ILOG/CPLEX91/lib/msvc7/stat_mda") |
|
| 8 |
|
|
| 9 |
INCLUDE(FindPackageHandleStandardArgs) |
|
| 10 |
FIND_PACKAGE_HANDLE_STANDARD_ARGS(CPLEX DEFAULT_MSG CPLEX_LIBRARY CPLEX_INCLUDE_DIR) |
|
| 11 |
|
|
| 12 |
FIND_PATH(CPLEX_BIN_DIR |
|
| 13 |
cplex91.dll |
|
| 14 |
PATHS "C:/ILOG/CPLEX91/bin/x86_win32") |
|
| 15 |
|
|
| 16 |
IF(CPLEX_FOUND) |
|
| 17 |
SET(CPLEX_INCLUDE_DIRS ${CPLEX_INCLUDE_DIR})
|
|
| 18 |
SET(CPLEX_LIBRARIES ${CPLEX_LIBRARY})
|
|
| 19 |
ENDIF(CPLEX_FOUND) |
|
| 20 |
|
|
| 21 |
MARK_AS_ADVANCED(CPLEX_LIBRARY CPLEX_INCLUDE_DIR CPLEX_BIN_DIR) |
|
| 22 |
|
|
| 23 |
IF(CPLEX_FOUND) |
|
| 24 |
SET(HAVE_LP TRUE) |
|
| 25 |
SET(HAVE_MIP TRUE) |
|
| 26 |
SET(HAVE_CPLEX TRUE) |
|
| 27 |
ENDIF(CPLEX_FOUND) |
| ... | ... |
@@ -11,30 +11,26 @@ |
| 11 | 11 |
|
| 12 | 12 |
SET(CMAKE_MODULE_PATH ${PROJECT_SOURCE_DIR}/cmake)
|
| 13 | 13 |
|
| 14 | 14 |
INCLUDE(FindDoxygen) |
| 15 | 15 |
INCLUDE(FindGhostscript) |
| 16 | 16 |
FIND_PACKAGE(GLPK 4.33) |
| 17 |
FIND_PACKAGE(CPLEX) |
|
| 18 |
FIND_PACKAGE(COIN) |
|
| 17 | 19 |
|
| 18 | 20 |
ADD_DEFINITIONS(-DHAVE_CONFIG_H) |
| 19 | 21 |
|
| 20 | 22 |
IF(MSVC) |
| 21 | 23 |
SET(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /wd4250 /wd4355 /wd4800 /wd4996")
|
| 22 | 24 |
# Suppressed warnings: |
| 23 | 25 |
# C4250: 'class1' : inherits 'class2::member' via dominance |
| 24 | 26 |
# C4355: 'this' : used in base member initializer list |
| 25 | 27 |
# C4800: 'type' : forcing value to bool 'true' or 'false' (performance warning) |
| 26 | 28 |
# C4996: 'function': was declared deprecated |
| 27 | 29 |
ENDIF(MSVC) |
| 28 | 30 |
|
| 29 |
IF(GLPK_FOUND) |
|
| 30 |
SET(HAVE_LP TRUE) |
|
| 31 |
SET(HAVE_MIP TRUE) |
|
| 32 |
SET(HAVE_GLPK TRUE) |
|
| 33 |
ENDIF(GLPK_FOUND) |
|
| 34 |
|
|
| 35 | 31 |
INCLUDE(CheckTypeSize) |
| 36 | 32 |
CHECK_TYPE_SIZE("long long" LONG_LONG)
|
| 37 | 33 |
|
| 38 | 34 |
ENABLE_TESTING() |
| 39 | 35 |
|
| 40 | 36 |
ADD_SUBDIRECTORY(lemon) |
| ... | ... |
@@ -10,11 +10,18 @@ |
| 10 | 10 |
PATHS ${GLPK_REGKEY}/lib)
|
| 11 | 11 |
|
| 12 | 12 |
INCLUDE(FindPackageHandleStandardArgs) |
| 13 | 13 |
FIND_PACKAGE_HANDLE_STANDARD_ARGS(GLPK DEFAULT_MSG GLPK_LIBRARY GLPK_INCLUDE_DIR) |
| 14 | 14 |
|
| 15 | 15 |
IF(GLPK_FOUND) |
| 16 |
SET(GLPK_INCLUDE_DIRS ${GLPK_INCLUDE_DIR})
|
|
| 16 | 17 |
SET(GLPK_LIBRARIES ${GLPK_LIBRARY})
|
| 17 | 18 |
SET(GLPK_BIN_DIR ${GLPK_ROOT_PATH}/bin)
|
| 18 | 19 |
ENDIF(GLPK_FOUND) |
| 19 | 20 |
|
| 20 | 21 |
MARK_AS_ADVANCED(GLPK_LIBRARY GLPK_INCLUDE_DIR GLPK_BIN_DIR) |
| 22 |
|
|
| 23 |
IF(GLPK_FOUND) |
|
| 24 |
SET(HAVE_LP TRUE) |
|
| 25 |
SET(HAVE_MIP TRUE) |
|
| 26 |
SET(HAVE_GLPK TRUE) |
|
| 27 |
ENDIF(GLPK_FOUND) |
| ... | ... |
@@ -17,20 +17,35 @@ |
| 17 | 17 |
random.cc |
| 18 | 18 |
bits/windows.cc |
| 19 | 19 |
) |
| 20 | 20 |
|
| 21 | 21 |
IF(HAVE_GLPK) |
| 22 | 22 |
SET(LEMON_SOURCES ${LEMON_SOURCES} glpk.cc)
|
| 23 |
INCLUDE_DIRECTORIES(${
|
|
| 23 |
INCLUDE_DIRECTORIES(${GLPK_INCLUDE_DIRS})
|
|
| 24 | 24 |
IF(WIN32) |
| 25 | 25 |
INSTALL(FILES ${GLPK_BIN_DIR}/glpk.dll DESTINATION bin)
|
| 26 | 26 |
INSTALL(FILES ${GLPK_BIN_DIR}/libltdl3.dll DESTINATION bin)
|
| 27 | 27 |
INSTALL(FILES ${GLPK_BIN_DIR}/zlib1.dll DESTINATION bin)
|
| 28 | 28 |
ENDIF(WIN32) |
| 29 | 29 |
ENDIF(HAVE_GLPK) |
| 30 | 30 |
|
| 31 |
IF(HAVE_CPLEX) |
|
| 32 |
SET(LEMON_SOURCES ${LEMON_SOURCES} cplex.cc)
|
|
| 33 |
INCLUDE_DIRECTORIES(${CPLEX_INCLUDE_DIRS})
|
|
| 34 |
ENDIF(HAVE_CPLEX) |
|
| 35 |
|
|
| 36 |
IF(HAVE_CLP) |
|
| 37 |
SET(LEMON_SOURCES ${LEMON_SOURCES} clp.cc)
|
|
| 38 |
INCLUDE_DIRECTORIES(${COIN_INCLUDE_DIRS})
|
|
| 39 |
ENDIF(HAVE_CLP) |
|
| 40 |
|
|
| 41 |
IF(HAVE_CBC) |
|
| 42 |
SET(LEMON_SOURCES ${LEMON_SOURCES} cbc.cc)
|
|
| 43 |
INCLUDE_DIRECTORIES(${COIN_INCLUDE_DIRS})
|
|
| 44 |
ENDIF(HAVE_CBC) |
|
| 45 |
|
|
| 31 | 46 |
ADD_LIBRARY(lemon ${LEMON_SOURCES})
|
| 32 | 47 |
|
| 33 | 48 |
INSTALL( |
| 34 | 49 |
TARGETS lemon |
| 35 | 50 |
ARCHIVE DESTINATION lib |
| 36 | 51 |
COMPONENT library) |
| ... | ... |
@@ -18,12 +18,13 @@ |
| 18 | 18 |
|
| 19 | 19 |
#ifndef LEMON_CIRCULATION_H |
| 20 | 20 |
#define LEMON_CIRCULATION_H |
| 21 | 21 |
|
| 22 | 22 |
#include <lemon/tolerance.h> |
| 23 | 23 |
#include <lemon/elevator.h> |
| 24 |
#include <limits> |
|
| 24 | 25 |
|
| 25 | 26 |
///\ingroup max_flow |
| 26 | 27 |
///\file |
| 27 | 28 |
///\brief Push-relabel algorithm for finding a feasible circulation. |
| 28 | 29 |
/// |
| 29 | 30 |
namespace lemon {
|
| ... | ... |
@@ -116,21 +117,21 @@ |
| 116 | 117 |
It is to find a feasible circulation when lower and upper bounds |
| 117 | 118 |
are given for the flow values on the arcs and lower bounds are |
| 118 | 119 |
given for the difference between the outgoing and incoming flow |
| 119 | 120 |
at the nodes. |
| 120 | 121 |
|
| 121 | 122 |
The exact formulation of this problem is the following. |
| 122 |
Let \f$G=(V,A)\f$ be a digraph, |
|
| 123 |
\f$lower, upper: A\rightarrow\mathbf{R}^+_0\f$ denote the lower and
|
|
| 124 |
|
|
| 123 |
Let \f$G=(V,A)\f$ be a digraph, \f$lower: A\rightarrow\mathbf{R}\f$
|
|
| 124 |
\f$upper: A\rightarrow\mathbf{R}\cup\{\infty\}\f$ denote the lower and
|
|
| 125 |
upper bounds on the arcs, for which \f$lower(uv) \leq upper(uv)\f$ |
|
| 125 | 126 |
holds for all \f$uv\in A\f$, and \f$sup: V\rightarrow\mathbf{R}\f$
|
| 126 | 127 |
denotes the signed supply values of the nodes. |
| 127 | 128 |
If \f$sup(u)>0\f$, then \f$u\f$ is a supply node with \f$sup(u)\f$ |
| 128 | 129 |
supply, if \f$sup(u)<0\f$, then \f$u\f$ is a demand node with |
| 129 | 130 |
\f$-sup(u)\f$ demand. |
| 130 |
A feasible circulation is an \f$f: A\rightarrow\mathbf{R}
|
|
| 131 |
A feasible circulation is an \f$f: A\rightarrow\mathbf{R}\f$
|
|
| 131 | 132 |
solution of the following problem. |
| 132 | 133 |
|
| 133 | 134 |
\f[ \sum_{uv\in A} f(uv) - \sum_{vu\in A} f(vu)
|
| 134 | 135 |
\geq sup(u) \quad \forall u\in V, \f] |
| 135 | 136 |
\f[ lower(uv) \leq f(uv) \leq upper(uv) \quad \forall uv\in A. \f] |
| 136 | 137 |
|
| ... | ... |
@@ -148,12 +149,16 @@ |
| 148 | 149 |
(i.e. the total demand is less than the total supply and all the demands |
| 149 | 150 |
have to be satisfied while there could be supplies that are not used), |
| 150 | 151 |
then you could easily transform the problem to the above form by reversing |
| 151 | 152 |
the direction of the arcs and taking the negative of the supply values |
| 152 | 153 |
(e.g. using \ref ReverseDigraph and \ref NegMap adaptors). |
| 153 | 154 |
|
| 155 |
This algorithm either calculates a feasible circulation, or provides |
|
| 156 |
a \ref barrier() "barrier", which prooves that a feasible soultion |
|
| 157 |
cannot exist. |
|
| 158 |
|
|
| 154 | 159 |
Note that this algorithm also provides a feasible solution for the |
| 155 | 160 |
\ref min_cost_flow "minimum cost flow problem". |
| 156 | 161 |
|
| 157 | 162 |
\tparam GR The type of the digraph the algorithm runs on. |
| 158 | 163 |
\tparam LM The type of the lower bound map. The default |
| 159 | 164 |
map type is \ref concepts::Digraph::ArcMap "GR::ArcMap<int>". |
| ... | ... |
@@ -334,12 +339,19 @@ |
| 334 | 339 |
destroyStructures(); |
| 335 | 340 |
} |
| 336 | 341 |
|
| 337 | 342 |
|
| 338 | 343 |
private: |
| 339 | 344 |
|
| 345 |
bool checkBoundMaps() {
|
|
| 346 |
for (ArcIt e(_g);e!=INVALID;++e) {
|
|
| 347 |
if (_tol.less((*_up)[e], (*_lo)[e])) return false; |
|
| 348 |
} |
|
| 349 |
return true; |
|
| 350 |
} |
|
| 351 |
|
|
| 340 | 352 |
void createStructures() {
|
| 341 | 353 |
_node_num = _el = countNodes(_g); |
| 342 | 354 |
|
| 343 | 355 |
if (!_flow) {
|
| 344 | 356 |
_flow = Traits::createFlowMap(_g); |
| 345 | 357 |
_local_flow = true; |
| ... | ... |
@@ -377,13 +389,13 @@ |
| 377 | 389 |
} |
| 378 | 390 |
|
| 379 | 391 |
/// Sets the upper bound (capacity) map. |
| 380 | 392 |
|
| 381 | 393 |
/// Sets the upper bound (capacity) map. |
| 382 | 394 |
/// \return <tt>(*this)</tt> |
| 383 |
Circulation& upperMap(const |
|
| 395 |
Circulation& upperMap(const UpperMap& map) {
|
|
| 384 | 396 |
_up = ↦ |
| 385 | 397 |
return *this; |
| 386 | 398 |
} |
| 387 | 399 |
|
| 388 | 400 |
/// Sets the supply map. |
| 389 | 401 |
|
| ... | ... |
@@ -464,12 +476,15 @@ |
| 464 | 476 |
/// Initializes the internal data structures. |
| 465 | 477 |
|
| 466 | 478 |
/// Initializes the internal data structures and sets all flow values |
| 467 | 479 |
/// to the lower bound. |
| 468 | 480 |
void init() |
| 469 | 481 |
{
|
| 482 |
LEMON_DEBUG(checkBoundMaps(), |
|
| 483 |
"Upper bounds must be greater or equal to the lower bounds"); |
|
| 484 |
|
|
| 470 | 485 |
createStructures(); |
| 471 | 486 |
|
| 472 | 487 |
for(NodeIt n(_g);n!=INVALID;++n) {
|
| 473 | 488 |
(*_excess)[n] = (*_supply)[n]; |
| 474 | 489 |
} |
| 475 | 490 |
|
| ... | ... |
@@ -493,24 +508,27 @@ |
| 493 | 508 |
/// Initializes the internal data structures using a greedy approach. |
| 494 | 509 |
|
| 495 | 510 |
/// Initializes the internal data structures using a greedy approach |
| 496 | 511 |
/// to construct the initial solution. |
| 497 | 512 |
void greedyInit() |
| 498 | 513 |
{
|
| 514 |
LEMON_DEBUG(checkBoundMaps(), |
|
| 515 |
"Upper bounds must be greater or equal to the lower bounds"); |
|
| 516 |
|
|
| 499 | 517 |
createStructures(); |
| 500 | 518 |
|
| 501 | 519 |
for(NodeIt n(_g);n!=INVALID;++n) {
|
| 502 | 520 |
(*_excess)[n] = (*_supply)[n]; |
| 503 | 521 |
} |
| 504 | 522 |
|
| 505 | 523 |
for (ArcIt e(_g);e!=INVALID;++e) {
|
| 506 |
if (!_tol. |
|
| 524 |
if (!_tol.less(-(*_excess)[_g.target(e)], (*_up)[e])) {
|
|
| 507 | 525 |
_flow->set(e, (*_up)[e]); |
| 508 | 526 |
(*_excess)[_g.target(e)] += (*_up)[e]; |
| 509 | 527 |
(*_excess)[_g.source(e)] -= (*_up)[e]; |
| 510 |
} else if (_tol. |
|
| 528 |
} else if (_tol.less(-(*_excess)[_g.target(e)], (*_lo)[e])) {
|
|
| 511 | 529 |
_flow->set(e, (*_lo)[e]); |
| 512 | 530 |
(*_excess)[_g.target(e)] += (*_lo)[e]; |
| 513 | 531 |
(*_excess)[_g.source(e)] -= (*_lo)[e]; |
| 514 | 532 |
} else {
|
| 515 | 533 |
Flow fc = -(*_excess)[_g.target(e)]; |
| 516 | 534 |
_flow->set(e, fc); |
| ... | ... |
@@ -745,20 +763,26 @@ |
| 745 | 763 |
///Check whether or not the last execution provides a barrier. |
| 746 | 764 |
///\sa barrier() |
| 747 | 765 |
///\sa barrierMap() |
| 748 | 766 |
bool checkBarrier() const |
| 749 | 767 |
{
|
| 750 | 768 |
Flow delta=0; |
| 769 |
Flow inf_cap = std::numeric_limits<Flow>::has_infinity ? |
|
| 770 |
std::numeric_limits<Flow>::infinity() : |
|
| 771 |
std::numeric_limits<Flow>::max(); |
|
| 751 | 772 |
for(NodeIt n(_g);n!=INVALID;++n) |
| 752 | 773 |
if(barrier(n)) |
| 753 | 774 |
delta-=(*_supply)[n]; |
| 754 | 775 |
for(ArcIt e(_g);e!=INVALID;++e) |
| 755 | 776 |
{
|
| 756 | 777 |
Node s=_g.source(e); |
| 757 | 778 |
Node t=_g.target(e); |
| 758 |
if(barrier(s)&&!barrier(t)) |
|
| 779 |
if(barrier(s)&&!barrier(t)) {
|
|
| 780 |
if (_tol.less(inf_cap - (*_up)[e], delta)) return false; |
|
| 781 |
delta+=(*_up)[e]; |
|
| 782 |
} |
|
| 759 | 783 |
else if(barrier(t)&&!barrier(s)) delta-=(*_lo)[e]; |
| 760 | 784 |
} |
| 761 | 785 |
return _tol.negative(delta); |
| 762 | 786 |
} |
| 763 | 787 |
|
| 764 | 788 |
/// @} |
| ... | ... |
@@ -22,12 +22,13 @@ |
| 22 | 22 |
///\ingroup shortest_path |
| 23 | 23 |
///\file |
| 24 | 24 |
///\brief An algorithm for finding arc-disjoint paths between two |
| 25 | 25 |
/// nodes having minimum total length. |
| 26 | 26 |
|
| 27 | 27 |
#include <vector> |
| 28 |
#include <limits> |
|
| 28 | 29 |
#include <lemon/bin_heap.h> |
| 29 | 30 |
#include <lemon/path.h> |
| 30 | 31 |
#include <lemon/list_graph.h> |
| 31 | 32 |
#include <lemon/maps.h> |
| 32 | 33 |
|
| 33 | 34 |
namespace lemon {
|
| ... | ... |
@@ -39,28 +40,32 @@ |
| 39 | 40 |
/// having minimum total length. |
| 40 | 41 |
/// |
| 41 | 42 |
/// \ref lemon::Suurballe "Suurballe" implements an algorithm for |
| 42 | 43 |
/// finding arc-disjoint paths having minimum total length (cost) |
| 43 | 44 |
/// from a given source node to a given target node in a digraph. |
| 44 | 45 |
/// |
| 45 |
/// In fact, this implementation is the specialization of the |
|
| 46 |
/// \ref CapacityScaling "successive shortest path" algorithm. |
|
| 46 |
/// Note that this problem is a special case of the \ref min_cost_flow |
|
| 47 |
/// "minimum cost flow problem". This implementation is actually an |
|
| 48 |
/// efficient specialized version of the \ref CapacityScaling |
|
| 49 |
/// "Successive Shortest Path" algorithm directly for this problem. |
|
| 50 |
/// Therefore this class provides query functions for flow values and |
|
| 51 |
/// node potentials (the dual solution) just like the minimum cost flow |
|
| 52 |
/// algorithms. |
|
| 47 | 53 |
/// |
| 48 | 54 |
/// \tparam GR The digraph type the algorithm runs on. |
| 49 |
/// The default value is \c ListDigraph. |
|
| 50 |
/// \tparam LEN The type of the length (cost) map. |
|
| 51 |
/// The |
|
| 55 |
/// \tparam LEN The type of the length map. |
|
| 56 |
/// The default value is <tt>GR::ArcMap<int></tt>. |
|
| 52 | 57 |
/// |
| 53 | 58 |
/// \warning Length values should be \e non-negative \e integers. |
| 54 | 59 |
/// |
| 55 | 60 |
/// \note For finding node-disjoint paths this algorithm can be used |
| 56 |
/// with \ref SplitNodes. |
|
| 61 |
/// along with the \ref SplitNodes adaptor. |
|
| 57 | 62 |
#ifdef DOXYGEN |
| 58 | 63 |
template <typename GR, typename LEN> |
| 59 | 64 |
#else |
| 60 |
template < typename GR |
|
| 65 |
template < typename GR, |
|
| 61 | 66 |
typename LEN = typename GR::template ArcMap<int> > |
| 62 | 67 |
#endif |
| 63 | 68 |
class Suurballe |
| 64 | 69 |
{
|
| 65 | 70 |
TEMPLATE_DIGRAPH_TYPEDEFS(GR); |
| 66 | 71 |
|
| ... | ... |
@@ -72,29 +77,34 @@ |
| 72 | 77 |
/// The type of the digraph the algorithm runs on. |
| 73 | 78 |
typedef GR Digraph; |
| 74 | 79 |
/// The type of the length map. |
| 75 | 80 |
typedef LEN LengthMap; |
| 76 | 81 |
/// The type of the lengths. |
| 77 | 82 |
typedef typename LengthMap::Value Length; |
| 83 |
#ifdef DOXYGEN |
|
| 84 |
/// The type of the flow map. |
|
| 85 |
typedef GR::ArcMap<int> FlowMap; |
|
| 86 |
/// The type of the potential map. |
|
| 87 |
typedef GR::NodeMap<Length> PotentialMap; |
|
| 88 |
#else |
|
| 78 | 89 |
/// The type of the flow map. |
| 79 | 90 |
typedef typename Digraph::template ArcMap<int> FlowMap; |
| 80 | 91 |
/// The type of the potential map. |
| 81 | 92 |
typedef typename Digraph::template NodeMap<Length> PotentialMap; |
| 93 |
#endif |
|
| 94 |
|
|
| 82 | 95 |
/// The type of the path structures. |
| 83 |
typedef SimplePath< |
|
| 96 |
typedef SimplePath<GR> Path; |
|
| 84 | 97 |
|
| 85 | 98 |
private: |
| 86 | 99 |
|
| 87 |
/// \brief Special implementation of the Dijkstra algorithm |
|
| 88 |
/// for finding shortest paths in the residual network. |
|
| 89 |
/// |
|
| 90 |
/// \ref ResidualDijkstra is a special implementation of the |
|
| 91 |
/// \ref Dijkstra algorithm for finding shortest paths in the |
|
| 92 |
/// residual network of the digraph with respect to the reduced arc |
|
| 93 |
/// lengths and modifying the node potentials according to the |
|
| 94 |
/// distance of the nodes. |
|
| 100 |
// ResidualDijkstra is a special implementation of the |
|
| 101 |
// Dijkstra algorithm for finding shortest paths in the |
|
| 102 |
// residual network with respect to the reduced arc lengths |
|
| 103 |
// and modifying the node potentials according to the |
|
| 104 |
// distance of the nodes. |
|
| 95 | 105 |
class ResidualDijkstra |
| 96 | 106 |
{
|
| 97 | 107 |
typedef typename Digraph::template NodeMap<int> HeapCrossRef; |
| 98 | 108 |
typedef BinHeap<Length, HeapCrossRef> Heap; |
| 99 | 109 |
|
| 100 | 110 |
private: |
| ... | ... |
@@ -117,20 +127,20 @@ |
| 117 | 127 |
Node _s; |
| 118 | 128 |
Node _t; |
| 119 | 129 |
|
| 120 | 130 |
public: |
| 121 | 131 |
|
| 122 | 132 |
/// Constructor. |
| 123 |
ResidualDijkstra( const Digraph & |
|
| 133 |
ResidualDijkstra( const Digraph &graph, |
|
| 124 | 134 |
const FlowMap &flow, |
| 125 | 135 |
const LengthMap &length, |
| 126 | 136 |
PotentialMap &potential, |
| 127 | 137 |
PredMap &pred, |
| 128 | 138 |
Node s, Node t ) : |
| 129 |
_graph(digraph), _flow(flow), _length(length), _potential(potential), |
|
| 130 |
_dist(digraph), _pred(pred), _s(s), _t(t) {}
|
|
| 139 |
_graph(graph), _flow(flow), _length(length), _potential(potential), |
|
| 140 |
_dist(graph), _pred(pred), _s(s), _t(t) {}
|
|
| 131 | 141 |
|
| 132 | 142 |
/// \brief Run the algorithm. It returns \c true if a path is found |
| 133 | 143 |
/// from the source node to the target node. |
| 134 | 144 |
bool run() {
|
| 135 | 145 |
HeapCrossRef heap_cross_ref(_graph, Heap::PRE_HEAP); |
| 136 | 146 |
Heap heap(heap_cross_ref); |
| ... | ... |
@@ -233,36 +243,39 @@ |
| 233 | 243 |
public: |
| 234 | 244 |
|
| 235 | 245 |
/// \brief Constructor. |
| 236 | 246 |
/// |
| 237 | 247 |
/// Constructor. |
| 238 | 248 |
/// |
| 239 |
/// \param |
|
| 249 |
/// \param graph The digraph the algorithm runs on. |
|
| 240 | 250 |
/// \param length The length (cost) values of the arcs. |
| 241 |
/// \param s The source node. |
|
| 242 |
/// \param t The target node. |
|
| 243 |
Suurballe( const Digraph &digraph, |
|
| 244 |
const LengthMap &length, |
|
| 245 |
Node s, Node t ) : |
|
| 246 |
_graph(digraph), _length(length), _flow(0), _local_flow(false), |
|
| 247 |
_potential(0), _local_potential(false), _source(s), _target(t), |
|
| 248 |
_pred(digraph) {}
|
|
| 251 |
Suurballe( const Digraph &graph, |
|
| 252 |
const LengthMap &length ) : |
|
| 253 |
_graph(graph), _length(length), _flow(0), _local_flow(false), |
|
| 254 |
_potential(0), _local_potential(false), _pred(graph) |
|
| 255 |
{
|
|
| 256 |
LEMON_ASSERT(std::numeric_limits<Length>::is_integer, |
|
| 257 |
"The length type of Suurballe must be integer"); |
|
| 258 |
} |
|
| 249 | 259 |
|
| 250 | 260 |
/// Destructor. |
| 251 | 261 |
~Suurballe() {
|
| 252 | 262 |
if (_local_flow) delete _flow; |
| 253 | 263 |
if (_local_potential) delete _potential; |
| 254 | 264 |
delete _dijkstra; |
| 255 | 265 |
} |
| 256 | 266 |
|
| 257 | 267 |
/// \brief Set the flow map. |
| 258 | 268 |
/// |
| 259 | 269 |
/// This function sets the flow map. |
| 270 |
/// If it is not used before calling \ref run() or \ref init(), |
|
| 271 |
/// an instance will be allocated automatically. The destructor |
|
| 272 |
/// deallocates this automatically allocated map, of course. |
|
| 260 | 273 |
/// |
| 261 |
/// The found flow contains only 0 and 1 values. It is the union of |
|
| 262 |
/// the found arc-disjoint paths. |
|
| 274 |
/// The found flow contains only 0 and 1 values, since it is the |
|
| 275 |
/// union of the found arc-disjoint paths. |
|
| 263 | 276 |
/// |
| 264 | 277 |
/// \return <tt>(*this)</tt> |
| 265 | 278 |
Suurballe& flowMap(FlowMap &map) {
|
| 266 | 279 |
if (_local_flow) {
|
| 267 | 280 |
delete _flow; |
| 268 | 281 |
_local_flow = false; |
| ... | ... |
@@ -271,15 +284,18 @@ |
| 271 | 284 |
return *this; |
| 272 | 285 |
} |
| 273 | 286 |
|
| 274 | 287 |
/// \brief Set the potential map. |
| 275 | 288 |
/// |
| 276 | 289 |
/// This function sets the potential map. |
| 290 |
/// If it is not used before calling \ref run() or \ref init(), |
|
| 291 |
/// an instance will be allocated automatically. The destructor |
|
| 292 |
/// deallocates this automatically allocated map, of course. |
|
| 277 | 293 |
/// |
| 278 |
/// The potentials provide the dual solution of the underlying |
|
| 279 |
/// minimum cost flow problem. |
|
| 294 |
/// The node potentials provide the dual solution of the underlying |
|
| 295 |
/// \ref min_cost_flow "minimum cost flow problem". |
|
| 280 | 296 |
/// |
| 281 | 297 |
/// \return <tt>(*this)</tt> |
| 282 | 298 |
Suurballe& potentialMap(PotentialMap &map) {
|
| 283 | 299 |
if (_local_potential) {
|
| 284 | 300 |
delete _potential; |
| 285 | 301 |
_local_potential = false; |
| ... | ... |
@@ -298,66 +314,75 @@ |
| 298 | 314 |
/// @{
|
| 299 | 315 |
|
| 300 | 316 |
/// \brief Run the algorithm. |
| 301 | 317 |
/// |
| 302 | 318 |
/// This function runs the algorithm. |
| 303 | 319 |
/// |
| 320 |
/// \param s The source node. |
|
| 321 |
/// \param t The target node. |
|
| 304 | 322 |
/// \param k The number of paths to be found. |
| 305 | 323 |
/// |
| 306 | 324 |
/// \return \c k if there are at least \c k arc-disjoint paths from |
| 307 | 325 |
/// \c s to \c t in the digraph. Otherwise it returns the number of |
| 308 | 326 |
/// arc-disjoint paths found. |
| 309 | 327 |
/// |
| 310 |
/// \note Apart from the return value, <tt>s.run(k)</tt> is just a |
|
| 311 |
/// shortcut of the following code. |
|
| 328 |
/// \note Apart from the return value, <tt>s.run(s, t, k)</tt> is |
|
| 329 |
/// just a shortcut of the following code. |
|
| 312 | 330 |
/// \code |
| 313 |
/// s.init(); |
|
| 314 |
/// s.findFlow(k); |
|
| 331 |
/// s.init(s); |
|
| 332 |
/// s.findFlow(t, k); |
|
| 315 | 333 |
/// s.findPaths(); |
| 316 | 334 |
/// \endcode |
| 317 |
int run(int k = 2) {
|
|
| 318 |
init(); |
|
| 319 |
|
|
| 335 |
int run(const Node& s, const Node& t, int k = 2) {
|
|
| 336 |
init(s); |
|
| 337 |
findFlow(t, k); |
|
| 320 | 338 |
findPaths(); |
| 321 | 339 |
return _path_num; |
| 322 | 340 |
} |
| 323 | 341 |
|
| 324 | 342 |
/// \brief Initialize the algorithm. |
| 325 | 343 |
/// |
| 326 | 344 |
/// This function initializes the algorithm. |
| 327 |
|
|
| 345 |
/// |
|
| 346 |
/// \param s The source node. |
|
| 347 |
void init(const Node& s) {
|
|
| 348 |
_source = s; |
|
| 349 |
|
|
| 328 | 350 |
// Initialize maps |
| 329 | 351 |
if (!_flow) {
|
| 330 | 352 |
_flow = new FlowMap(_graph); |
| 331 | 353 |
_local_flow = true; |
| 332 | 354 |
} |
| 333 | 355 |
if (!_potential) {
|
| 334 | 356 |
_potential = new PotentialMap(_graph); |
| 335 | 357 |
_local_potential = true; |
| 336 | 358 |
} |
| 337 | 359 |
for (ArcIt e(_graph); e != INVALID; ++e) (*_flow)[e] = 0; |
| 338 | 360 |
for (NodeIt n(_graph); n != INVALID; ++n) (*_potential)[n] = 0; |
| 339 |
|
|
| 340 |
_dijkstra = new ResidualDijkstra( _graph, *_flow, _length, |
|
| 341 |
*_potential, _pred, |
|
| 342 |
_source, _target ); |
|
| 343 | 361 |
} |
| 344 | 362 |
|
| 345 |
/// \brief Execute the successive shortest path algorithm to find |
|
| 346 |
/// an optimal flow. |
|
| 363 |
/// \brief Execute the algorithm to find an optimal flow. |
|
| 347 | 364 |
/// |
| 348 | 365 |
/// This function executes the successive shortest path algorithm to |
| 349 |
/// find a minimum cost flow, which is the union of \c k or less |
|
| 366 |
/// find a minimum cost flow, which is the union of \c k (or less) |
|
| 350 | 367 |
/// arc-disjoint paths. |
| 351 | 368 |
/// |
| 369 |
/// \param t The target node. |
|
| 370 |
/// \param k The number of paths to be found. |
|
| 371 |
/// |
|
| 352 | 372 |
/// \return \c k if there are at least \c k arc-disjoint paths from |
| 353 |
/// \c s to \c t in the digraph. Otherwise it returns the number of |
|
| 354 |
/// arc-disjoint paths found. |
|
| 373 |
/// the source node to the given node \c t in the digraph. |
|
| 374 |
/// Otherwise it returns the number of arc-disjoint paths found. |
|
| 355 | 375 |
/// |
| 356 | 376 |
/// \pre \ref init() must be called before using this function. |
| 357 |
int findFlow(int k = 2) {
|
|
| 377 |
int findFlow(const Node& t, int k = 2) {
|
|
| 378 |
_target = t; |
|
| 379 |
_dijkstra = |
|
| 380 |
new ResidualDijkstra( _graph, *_flow, _length, *_potential, _pred, |
|
| 381 |
_source, _target ); |
|
| 382 |
|
|
| 358 | 383 |
// Find shortest paths |
| 359 | 384 |
_path_num = 0; |
| 360 | 385 |
while (_path_num < k) {
|
| 361 | 386 |
// Run Dijkstra |
| 362 | 387 |
if (!_dijkstra->run()) break; |
| 363 | 388 |
++_path_num; |
| ... | ... |
@@ -377,19 +402,18 @@ |
| 377 | 402 |
} |
| 378 | 403 |
return _path_num; |
| 379 | 404 |
} |
| 380 | 405 |
|
| 381 | 406 |
/// \brief Compute the paths from the flow. |
| 382 | 407 |
/// |
| 383 |
/// This function computes the paths from the flow |
|
| 408 |
/// This function computes the paths from the found minimum cost flow, |
|
| 409 |
/// which is the union of some arc-disjoint paths. |
|
| 384 | 410 |
/// |
| 385 | 411 |
/// \pre \ref init() and \ref findFlow() must be called before using |
| 386 | 412 |
/// this function. |
| 387 | 413 |
void findPaths() {
|
| 388 |
// Create the residual flow map (the union of the paths not found |
|
| 389 |
// so far) |
|
| 390 | 414 |
FlowMap res_flow(_graph); |
| 391 | 415 |
for(ArcIt a(_graph); a != INVALID; ++a) res_flow[a] = (*_flow)[a]; |
| 392 | 416 |
|
| 393 | 417 |
paths.clear(); |
| 394 | 418 |
paths.resize(_path_num); |
| 395 | 419 |
for (int i = 0; i < _path_num; ++i) {
|
| ... | ... |
@@ -410,71 +434,74 @@ |
| 410 | 434 |
/// The results of the algorithm can be obtained using these |
| 411 | 435 |
/// functions. |
| 412 | 436 |
/// \n The algorithm should be executed before using them. |
| 413 | 437 |
|
| 414 | 438 |
/// @{
|
| 415 | 439 |
|
| 416 |
/// \brief Return |
|
| 440 |
/// \brief Return the total length of the found paths. |
|
| 441 |
/// |
|
| 442 |
/// This function returns the total length of the found paths, i.e. |
|
| 443 |
/// the total cost of the found flow. |
|
| 444 |
/// The complexity of the function is O(e). |
|
| 445 |
/// |
|
| 446 |
/// \pre \ref run() or \ref findFlow() must be called before using |
|
| 447 |
/// this function. |
|
| 448 |
Length totalLength() const {
|
|
| 449 |
Length c = 0; |
|
| 450 |
for (ArcIt e(_graph); e != INVALID; ++e) |
|
| 451 |
c += (*_flow)[e] * _length[e]; |
|
| 452 |
return c; |
|
| 453 |
} |
|
| 454 |
|
|
| 455 |
/// \brief Return the flow value on the given arc. |
|
| 456 |
/// |
|
| 457 |
/// This function returns the flow value on the given arc. |
|
| 458 |
/// It is \c 1 if the arc is involved in one of the found arc-disjoint |
|
| 459 |
/// paths, otherwise it is \c 0. |
|
| 460 |
/// |
|
| 461 |
/// \pre \ref run() or \ref findFlow() must be called before using |
|
| 462 |
/// this function. |
|
| 463 |
int flow(const Arc& arc) const {
|
|
| 464 |
return (*_flow)[arc]; |
|
| 465 |
} |
|
| 466 |
|
|
| 467 |
/// \brief Return a const reference to an arc map storing the |
|
| 417 | 468 |
/// found flow. |
| 418 | 469 |
/// |
| 419 |
/// This function returns a const reference to |
|
| 470 |
/// This function returns a const reference to an arc map storing |
|
| 420 | 471 |
/// the flow that is the union of the found arc-disjoint paths. |
| 421 | 472 |
/// |
| 422 | 473 |
/// \pre \ref run() or \ref findFlow() must be called before using |
| 423 | 474 |
/// this function. |
| 424 | 475 |
const FlowMap& flowMap() const {
|
| 425 | 476 |
return *_flow; |
| 426 | 477 |
} |
| 427 | 478 |
|
| 428 |
/// \brief Return a const reference to the node map storing the |
|
| 429 |
/// found potentials (the dual solution). |
|
| 430 |
/// |
|
| 431 |
/// This function returns a const reference to the node map storing |
|
| 432 |
/// the found potentials that provide the dual solution of the |
|
| 433 |
/// underlying minimum cost flow problem. |
|
| 434 |
/// |
|
| 435 |
/// \pre \ref run() or \ref findFlow() must be called before using |
|
| 436 |
/// this function. |
|
| 437 |
const PotentialMap& potentialMap() const {
|
|
| 438 |
return *_potential; |
|
| 439 |
} |
|
| 440 |
|
|
| 441 |
/// \brief Return the flow on the given arc. |
|
| 442 |
/// |
|
| 443 |
/// This function returns the flow on the given arc. |
|
| 444 |
/// It is \c 1 if the arc is involved in one of the found paths, |
|
| 445 |
/// otherwise it is \c 0. |
|
| 446 |
/// |
|
| 447 |
/// \pre \ref run() or \ref findFlow() must be called before using |
|
| 448 |
/// this function. |
|
| 449 |
int flow(const Arc& arc) const {
|
|
| 450 |
return (*_flow)[arc]; |
|
| 451 |
} |
|
| 452 |
|
|
| 453 | 479 |
/// \brief Return the potential of the given node. |
| 454 | 480 |
/// |
| 455 | 481 |
/// This function returns the potential of the given node. |
| 482 |
/// The node potentials provide the dual solution of the |
|
| 483 |
/// underlying \ref min_cost_flow "minimum cost flow problem". |
|
| 456 | 484 |
/// |
| 457 | 485 |
/// \pre \ref run() or \ref findFlow() must be called before using |
| 458 | 486 |
/// this function. |
| 459 | 487 |
Length potential(const Node& node) const {
|
| 460 | 488 |
return (*_potential)[node]; |
| 461 | 489 |
} |
| 462 | 490 |
|
| 463 |
/// \brief Return |
|
| 491 |
/// \brief Return a const reference to a node map storing the |
|
| 492 |
/// found potentials (the dual solution). |
|
| 464 | 493 |
/// |
| 465 |
/// This function returns the total length (cost) of the found paths |
|
| 466 |
/// (flow). The complexity of the function is O(e). |
|
| 494 |
/// This function returns a const reference to a node map storing |
|
| 495 |
/// the found potentials that provide the dual solution of the |
|
| 496 |
/// underlying \ref min_cost_flow "minimum cost flow problem". |
|
| 467 | 497 |
/// |
| 468 | 498 |
/// \pre \ref run() or \ref findFlow() must be called before using |
| 469 | 499 |
/// this function. |
| 470 |
Length totalLength() const {
|
|
| 471 |
Length c = 0; |
|
| 472 |
for (ArcIt e(_graph); e != INVALID; ++e) |
|
| 473 |
c += (*_flow)[e] * _length[e]; |
|
| 474 |
|
|
| 500 |
const PotentialMap& potentialMap() const {
|
|
| 501 |
return *_potential; |
|
| 475 | 502 |
} |
| 476 | 503 |
|
| 477 | 504 |
/// \brief Return the number of the found paths. |
| 478 | 505 |
/// |
| 479 | 506 |
/// This function returns the number of the found paths. |
| 480 | 507 |
/// |
| ... | ... |
@@ -485,13 +512,13 @@ |
| 485 | 512 |
} |
| 486 | 513 |
|
| 487 | 514 |
/// \brief Return a const reference to the specified path. |
| 488 | 515 |
/// |
| 489 | 516 |
/// This function returns a const reference to the specified path. |
| 490 | 517 |
/// |
| 491 |
/// \param i The function returns the |
|
| 518 |
/// \param i The function returns the <tt>i</tt>-th path. |
|
| 492 | 519 |
/// \c i must be between \c 0 and <tt>%pathNum()-1</tt>. |
| 493 | 520 |
/// |
| 494 | 521 |
/// \pre \ref run() or \ref findPaths() must be called before using |
| 495 | 522 |
/// this function. |
| 496 | 523 |
Path path(int i) const {
|
| 497 | 524 |
return paths[i]; |
| 1 | 1 |
INCLUDE_DIRECTORIES( |
| 2 | 2 |
${PROJECT_SOURCE_DIR}
|
| 3 | 3 |
${PROJECT_BINARY_DIR}
|
| 4 | 4 |
) |
| 5 | 5 |
|
| 6 |
IF(HAVE_GLPK) |
|
| 7 |
INCLUDE_DIRECTORIES(${GLPK_INCLUDE_DIR})
|
|
| 8 |
ENDIF(HAVE_GLPK) |
|
| 9 |
|
|
| 10 | 6 |
LINK_DIRECTORIES(${PROJECT_BINARY_DIR}/lemon)
|
| 11 | 7 |
|
| 12 | 8 |
SET(TESTS |
| 13 | 9 |
adaptors_test |
| 14 | 10 |
bfs_test |
| 15 | 11 |
circulation_test |
| ... | ... |
@@ -39,44 +35,74 @@ |
| 39 | 35 |
suurballe_test |
| 40 | 36 |
time_measure_test |
| 41 | 37 |
unionfind_test) |
| 42 | 38 |
|
| 43 | 39 |
IF(HAVE_LP) |
| 44 | 40 |
ADD_EXECUTABLE(lp_test lp_test.cc) |
| 41 |
SET(LP_TEST_LIBS lemon) |
|
| 45 | 42 |
IF(HAVE_GLPK) |
| 46 |
|
|
| 43 |
SET(LP_TEST_LIBS ${LP_TEST_LIBS} ${GLPK_LIBRARIES})
|
|
| 47 | 44 |
ENDIF(HAVE_GLPK) |
| 45 |
IF(HAVE_CPLEX) |
|
| 46 |
SET(LP_TEST_LIBS ${LP_TEST_LIBS} ${CPLEX_LIBRARIES})
|
|
| 47 |
ENDIF(HAVE_CPLEX) |
|
| 48 |
IF(HAVE_CLP) |
|
| 49 |
SET(LP_TEST_LIBS ${LP_TEST_LIBS} ${COIN_CLP_LIBRARIES})
|
|
| 50 |
ENDIF(HAVE_CLP) |
|
| 51 |
TARGET_LINK_LIBRARIES(lp_test ${LP_TEST_LIBS})
|
|
| 48 | 52 |
ADD_TEST(lp_test lp_test) |
| 49 | 53 |
|
| 50 | 54 |
IF(WIN32 AND HAVE_GLPK) |
| 51 | 55 |
GET_TARGET_PROPERTY(TARGET_LOC lp_test LOCATION) |
| 52 | 56 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
| 53 | 57 |
ADD_CUSTOM_COMMAND(TARGET lp_test POST_BUILD |
| 54 | 58 |
COMMAND cmake -E copy ${GLPK_BIN_DIR}/glpk.dll ${TARGET_PATH}
|
| 55 | 59 |
COMMAND cmake -E copy ${GLPK_BIN_DIR}/libltdl3.dll ${TARGET_PATH}
|
| 56 | 60 |
COMMAND cmake -E copy ${GLPK_BIN_DIR}/zlib1.dll ${TARGET_PATH}
|
| 57 | 61 |
) |
| 58 | 62 |
ENDIF(WIN32 AND HAVE_GLPK) |
| 63 |
IF(WIN32 AND HAVE_CPLEX) |
|
| 64 |
GET_TARGET_PROPERTY(TARGET_LOC lp_test LOCATION) |
|
| 65 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
|
| 66 |
ADD_CUSTOM_COMMAND(TARGET lp_test POST_BUILD |
|
| 67 |
COMMAND cmake -E copy ${CPLEX_BIN_DIR}/cplex91.dll ${TARGET_PATH}
|
|
| 68 |
) |
|
| 69 |
ENDIF(WIN32 AND HAVE_CPLEX) |
|
| 59 | 70 |
ENDIF(HAVE_LP) |
| 60 | 71 |
|
| 61 | 72 |
IF(HAVE_MIP) |
| 62 | 73 |
ADD_EXECUTABLE(mip_test mip_test.cc) |
| 74 |
SET(MIP_TEST_LIBS lemon) |
|
| 63 | 75 |
IF(HAVE_GLPK) |
| 64 |
|
|
| 76 |
SET(MIP_TEST_LIBS ${MIP_TEST_LIBS} ${GLPK_LIBRARIES})
|
|
| 65 | 77 |
ENDIF(HAVE_GLPK) |
| 78 |
IF(HAVE_CPLEX) |
|
| 79 |
SET(MIP_TEST_LIBS ${MIP_TEST_LIBS} ${CPLEX_LIBRARIES})
|
|
| 80 |
ENDIF(HAVE_CPLEX) |
|
| 81 |
IF(HAVE_CBC) |
|
| 82 |
SET(MIP_TEST_LIBS ${MIP_TEST_LIBS} ${COIN_CBC_LIBRARIES})
|
|
| 83 |
ENDIF(HAVE_CBC) |
|
| 84 |
TARGET_LINK_LIBRARIES(mip_test ${MIP_TEST_LIBS})
|
|
| 66 | 85 |
ADD_TEST(mip_test mip_test) |
| 67 | 86 |
|
| 68 | 87 |
IF(WIN32 AND HAVE_GLPK) |
| 69 | 88 |
GET_TARGET_PROPERTY(TARGET_LOC mip_test LOCATION) |
| 70 | 89 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
| 71 | 90 |
ADD_CUSTOM_COMMAND(TARGET mip_test POST_BUILD |
| 72 | 91 |
COMMAND cmake -E copy ${GLPK_BIN_DIR}/glpk.dll ${TARGET_PATH}
|
| 73 | 92 |
COMMAND cmake -E copy ${GLPK_BIN_DIR}/libltdl3.dll ${TARGET_PATH}
|
| 74 | 93 |
COMMAND cmake -E copy ${GLPK_BIN_DIR}/zlib1.dll ${TARGET_PATH}
|
| 75 | 94 |
) |
| 76 | 95 |
ENDIF(WIN32 AND HAVE_GLPK) |
| 96 |
IF(WIN32 AND HAVE_CPLEX) |
|
| 97 |
GET_TARGET_PROPERTY(TARGET_LOC mip_test LOCATION) |
|
| 98 |
GET_FILENAME_COMPONENT(TARGET_PATH ${TARGET_LOC} PATH)
|
|
| 99 |
ADD_CUSTOM_COMMAND(TARGET mip_test POST_BUILD |
|
| 100 |
COMMAND cmake -E copy ${CPLEX_BIN_DIR}/cplex91.dll ${TARGET_PATH}
|
|
| 101 |
) |
|
| 102 |
ENDIF(WIN32 AND HAVE_CPLEX) |
|
| 77 | 103 |
ENDIF(HAVE_MIP) |
| 78 | 104 |
|
| 79 | 105 |
FOREACH(TEST_NAME ${TESTS})
|
| 80 | 106 |
ADD_EXECUTABLE(${TEST_NAME} ${TEST_NAME}.cc)
|
| 81 | 107 |
TARGET_LINK_LIBRARIES(${TEST_NAME} lemon)
|
| 82 | 108 |
ADD_TEST(${TEST_NAME} ${TEST_NAME})
|
| ... | ... |
@@ -19,60 +19,111 @@ |
| 19 | 19 |
#include <iostream> |
| 20 | 20 |
|
| 21 | 21 |
#include <lemon/list_graph.h> |
| 22 | 22 |
#include <lemon/lgf_reader.h> |
| 23 | 23 |
#include <lemon/path.h> |
| 24 | 24 |
#include <lemon/suurballe.h> |
| 25 |
#include <lemon/concepts/digraph.h> |
|
| 25 | 26 |
|
| 26 | 27 |
#include "test_tools.h" |
| 27 | 28 |
|
| 28 | 29 |
using namespace lemon; |
| 29 | 30 |
|
| 30 | 31 |
char test_lgf[] = |
| 31 | 32 |
"@nodes\n" |
| 32 |
"label supply1 supply2 supply3\n" |
|
| 33 |
"1 0 20 27\n" |
|
| 34 |
"2 0 -4 0\n" |
|
| 35 |
"3 0 0 0\n" |
|
| 36 |
"4 0 0 0\n" |
|
| 37 |
"5 0 9 0\n" |
|
| 38 |
"6 0 -6 0\n" |
|
| 39 |
"7 0 0 0\n" |
|
| 40 |
"8 0 0 0\n" |
|
| 41 |
"9 0 3 0\n" |
|
| 42 |
"10 0 -2 0\n" |
|
| 43 |
"11 0 0 0\n" |
|
| 44 |
" |
|
| 33 |
"label\n" |
|
| 34 |
"1\n" |
|
| 35 |
"2\n" |
|
| 36 |
"3\n" |
|
| 37 |
"4\n" |
|
| 38 |
"5\n" |
|
| 39 |
"6\n" |
|
| 40 |
"7\n" |
|
| 41 |
"8\n" |
|
| 42 |
"9\n" |
|
| 43 |
"10\n" |
|
| 44 |
"11\n" |
|
| 45 |
"12\n" |
|
| 45 | 46 |
"@arcs\n" |
| 46 |
" cost capacity lower1 lower2\n" |
|
| 47 |
" 1 2 70 11 0 8\n" |
|
| 48 |
" 1 3 150 3 0 1\n" |
|
| 49 |
" 1 4 80 15 0 2\n" |
|
| 50 |
" 2 8 80 12 0 0\n" |
|
| 51 |
" 3 5 140 5 0 3\n" |
|
| 52 |
" 4 6 60 10 0 1\n" |
|
| 53 |
" 4 7 80 2 0 0\n" |
|
| 54 |
" 4 8 110 3 0 0\n" |
|
| 55 |
" 5 7 60 14 0 0\n" |
|
| 56 |
" 5 11 120 12 0 0\n" |
|
| 57 |
" 6 3 0 3 0 0\n" |
|
| 58 |
" 6 9 140 4 0 0\n" |
|
| 59 |
" 6 10 90 8 0 0\n" |
|
| 60 |
" 7 1 30 5 0 0\n" |
|
| 61 |
" 8 12 60 16 0 4\n" |
|
| 62 |
" 9 12 50 6 0 0\n" |
|
| 63 |
"10 12 70 13 0 5\n" |
|
| 64 |
"10 2 100 7 0 0\n" |
|
| 65 |
"10 7 60 10 0 0\n" |
|
| 66 |
"11 10 20 14 0 6\n" |
|
| 67 |
"12 11 30 10 0 0\n" |
|
| 47 |
" length\n" |
|
| 48 |
" 1 2 70\n" |
|
| 49 |
" 1 3 150\n" |
|
| 50 |
" 1 4 80\n" |
|
| 51 |
" 2 8 80\n" |
|
| 52 |
" 3 5 140\n" |
|
| 53 |
" 4 6 60\n" |
|
| 54 |
" 4 7 80\n" |
|
| 55 |
" 4 8 110\n" |
|
| 56 |
" 5 7 60\n" |
|
| 57 |
" 5 11 120\n" |
|
| 58 |
" 6 3 0\n" |
|
| 59 |
" 6 9 140\n" |
|
| 60 |
" 6 10 90\n" |
|
| 61 |
" 7 1 30\n" |
|
| 62 |
" 8 12 60\n" |
|
| 63 |
" 9 12 50\n" |
|
| 64 |
"10 12 70\n" |
|
| 65 |
"10 2 100\n" |
|
| 66 |
"10 7 60\n" |
|
| 67 |
"11 10 20\n" |
|
| 68 |
"12 11 30\n" |
|
| 68 | 69 |
"@attributes\n" |
| 69 | 70 |
"source 1\n" |
| 70 | 71 |
"target 12\n" |
| 71 | 72 |
"@end\n"; |
| 72 | 73 |
|
| 74 |
// Check the interface of Suurballe |
|
| 75 |
void checkSuurballeCompile() |
|
| 76 |
{
|
|
| 77 |
typedef int VType; |
|
| 78 |
typedef concepts::Digraph Digraph; |
|
| 79 |
|
|
| 80 |
typedef Digraph::Node Node; |
|
| 81 |
typedef Digraph::Arc Arc; |
|
| 82 |
typedef concepts::ReadMap<Arc, VType> LengthMap; |
|
| 83 |
|
|
| 84 |
typedef Suurballe<Digraph, LengthMap> SuurballeType; |
|
| 85 |
|
|
| 86 |
Digraph g; |
|
| 87 |
Node n; |
|
| 88 |
Arc e; |
|
| 89 |
LengthMap len; |
|
| 90 |
SuurballeType::FlowMap flow(g); |
|
| 91 |
SuurballeType::PotentialMap pi(g); |
|
| 92 |
|
|
| 93 |
SuurballeType suurb_test(g, len); |
|
| 94 |
const SuurballeType& const_suurb_test = suurb_test; |
|
| 95 |
|
|
| 96 |
suurb_test |
|
| 97 |
.flowMap(flow) |
|
| 98 |
.potentialMap(pi); |
|
| 99 |
|
|
| 100 |
int k; |
|
| 101 |
k = suurb_test.run(n, n); |
|
| 102 |
k = suurb_test.run(n, n, k); |
|
| 103 |
suurb_test.init(n); |
|
| 104 |
k = suurb_test.findFlow(n); |
|
| 105 |
k = suurb_test.findFlow(n, k); |
|
| 106 |
suurb_test.findPaths(); |
|
| 107 |
|
|
| 108 |
int f; |
|
| 109 |
VType c; |
|
| 110 |
c = const_suurb_test.totalLength(); |
|
| 111 |
f = const_suurb_test.flow(e); |
|
| 112 |
const SuurballeType::FlowMap& fm = |
|
| 113 |
const_suurb_test.flowMap(); |
|
| 114 |
c = const_suurb_test.potential(n); |
|
| 115 |
const SuurballeType::PotentialMap& pm = |
|
| 116 |
const_suurb_test.potentialMap(); |
|
| 117 |
k = const_suurb_test.pathNum(); |
|
| 118 |
Path<Digraph> p = const_suurb_test.path(k); |
|
| 119 |
|
|
| 120 |
ignore_unused_variable_warning(fm); |
|
| 121 |
ignore_unused_variable_warning(pm); |
|
| 122 |
} |
|
| 123 |
|
|
| 73 | 124 |
// Check the feasibility of the flow |
| 74 | 125 |
template <typename Digraph, typename FlowMap> |
| 75 | 126 |
bool checkFlow( const Digraph& gr, const FlowMap& flow, |
| 76 | 127 |
typename Digraph::Node s, typename Digraph::Node t, |
| 77 | 128 |
int value ) |
| 78 | 129 |
{
|
| ... | ... |
@@ -115,13 +166,12 @@ |
| 115 | 166 |
|
| 116 | 167 |
// Check a path |
| 117 | 168 |
template <typename Digraph, typename Path> |
| 118 | 169 |
bool checkPath( const Digraph& gr, const Path& path, |
| 119 | 170 |
typename Digraph::Node s, typename Digraph::Node t) |
| 120 | 171 |
{
|
| 121 |
// Check the "Complementary Slackness" optimality condition |
|
| 122 | 172 |
TEMPLATE_DIGRAPH_TYPEDEFS(Digraph); |
| 123 | 173 |
Node n = s; |
| 124 | 174 |
for (int i = 0; i < path.length(); ++i) {
|
| 125 | 175 |
if (gr.source(path.nth(i)) != n) return false; |
| 126 | 176 |
n = gr.target(path.nth(i)); |
| 127 | 177 |
} |
| ... | ... |
@@ -133,62 +183,59 @@ |
| 133 | 183 |
{
|
| 134 | 184 |
DIGRAPH_TYPEDEFS(ListDigraph); |
| 135 | 185 |
|
| 136 | 186 |
// Read the test digraph |
| 137 | 187 |
ListDigraph digraph; |
| 138 | 188 |
ListDigraph::ArcMap<int> length(digraph); |
| 139 |
Node |
|
| 189 |
Node s, t; |
|
| 140 | 190 |
|
| 141 | 191 |
std::istringstream input(test_lgf); |
| 142 | 192 |
DigraphReader<ListDigraph>(digraph, input). |
| 143 |
arcMap("cost", length).
|
|
| 144 |
node("source", source).
|
|
| 145 |
|
|
| 193 |
arcMap("length", length).
|
|
| 194 |
node("source", s).
|
|
| 195 |
node("target", t).
|
|
| 146 | 196 |
run(); |
| 147 | 197 |
|
| 148 | 198 |
// Find 2 paths |
| 149 | 199 |
{
|
| 150 |
Suurballe<ListDigraph> suurballe(digraph, length, source, target); |
|
| 151 |
check(suurballe.run(2) == 2, "Wrong number of paths"); |
|
| 152 |
|
|
| 200 |
Suurballe<ListDigraph> suurballe(digraph, length); |
|
| 201 |
check(suurballe.run(s, t) == 2, "Wrong number of paths"); |
|
| 202 |
check(checkFlow(digraph, suurballe.flowMap(), s, t, 2), |
|
| 153 | 203 |
"The flow is not feasible"); |
| 154 | 204 |
check(suurballe.totalLength() == 510, "The flow is not optimal"); |
| 155 | 205 |
check(checkOptimality(digraph, length, suurballe.flowMap(), |
| 156 | 206 |
suurballe.potentialMap()), |
| 157 | 207 |
"Wrong potentials"); |
| 158 | 208 |
for (int i = 0; i < suurballe.pathNum(); ++i) |
| 159 |
check(checkPath(digraph, suurballe.path(i), source, target), |
|
| 160 |
"Wrong path"); |
|
| 209 |
check(checkPath(digraph, suurballe.path(i), s, t), "Wrong path"); |
|
| 161 | 210 |
} |
| 162 | 211 |
|
| 163 | 212 |
// Find 3 paths |
| 164 | 213 |
{
|
| 165 |
Suurballe<ListDigraph> suurballe(digraph, length, source, target); |
|
| 166 |
check(suurballe.run(3) == 3, "Wrong number of paths"); |
|
| 167 |
|
|
| 214 |
Suurballe<ListDigraph> suurballe(digraph, length); |
|
| 215 |
check(suurballe.run(s, t, 3) == 3, "Wrong number of paths"); |
|
| 216 |
check(checkFlow(digraph, suurballe.flowMap(), s, t, 3), |
|
| 168 | 217 |
"The flow is not feasible"); |
| 169 | 218 |
check(suurballe.totalLength() == 1040, "The flow is not optimal"); |
| 170 | 219 |
check(checkOptimality(digraph, length, suurballe.flowMap(), |
| 171 | 220 |
suurballe.potentialMap()), |
| 172 | 221 |
"Wrong potentials"); |
| 173 | 222 |
for (int i = 0; i < suurballe.pathNum(); ++i) |
| 174 |
check(checkPath(digraph, suurballe.path(i), source, target), |
|
| 175 |
"Wrong path"); |
|
| 223 |
check(checkPath(digraph, suurballe.path(i), s, t), "Wrong path"); |
|
| 176 | 224 |
} |
| 177 | 225 |
|
| 178 | 226 |
// Find 5 paths (only 3 can be found) |
| 179 | 227 |
{
|
| 180 |
Suurballe<ListDigraph> suurballe(digraph, length, source, target); |
|
| 181 |
check(suurballe.run(5) == 3, "Wrong number of paths"); |
|
| 182 |
|
|
| 228 |
Suurballe<ListDigraph> suurballe(digraph, length); |
|
| 229 |
check(suurballe.run(s, t, 5) == 3, "Wrong number of paths"); |
|
| 230 |
check(checkFlow(digraph, suurballe.flowMap(), s, t, 3), |
|
| 183 | 231 |
"The flow is not feasible"); |
| 184 | 232 |
check(suurballe.totalLength() == 1040, "The flow is not optimal"); |
| 185 | 233 |
check(checkOptimality(digraph, length, suurballe.flowMap(), |
| 186 | 234 |
suurballe.potentialMap()), |
| 187 | 235 |
"Wrong potentials"); |
| 188 | 236 |
for (int i = 0; i < suurballe.pathNum(); ++i) |
| 189 |
check(checkPath(digraph, suurballe.path(i), source, target), |
|
| 190 |
"Wrong path"); |
|
| 237 |
check(checkPath(digraph, suurballe.path(i), s, t), "Wrong path"); |
|
| 191 | 238 |
} |
| 192 | 239 |
|
| 193 | 240 |
return 0; |
| 194 | 241 |
} |
| ... | ... |
@@ -477,14 +477,14 @@ |
| 477 | 477 |
ei!=arcs.rend();++ei) |
| 478 | 478 |
{
|
| 479 | 479 |
Node a=g.u(*ei); |
| 480 | 480 |
Node b=g.v(*ei); |
| 481 | 481 |
g.erase(*ei); |
| 482 | 482 |
ConstMap<Arc,int> cegy(1); |
| 483 |
Suurballe<ListGraph,ConstMap<Arc,int> > sur(g,cegy,a,b); |
|
| 484 |
int k=sur.run(2); |
|
| 483 |
Suurballe<ListGraph,ConstMap<Arc,int> > sur(g,cegy); |
|
| 484 |
int k=sur.run(a,b,2); |
|
| 485 | 485 |
if(k<2 || sur.totalLength()>d) |
| 486 | 486 |
g.addEdge(a,b); |
| 487 | 487 |
else cnt++; |
| 488 | 488 |
// else std::cout << "Remove arc " << g.id(a) << "-" << g.id(b) << '\n'; |
| 489 | 489 |
} |
| 490 | 490 |
} |
| ... | ... |
@@ -508,15 +508,14 @@ |
| 508 | 508 |
Line li(pi->a,pi->b); |
| 509 | 509 |
EdgeIt e(g); |
| 510 | 510 |
for(;e!=INVALID && !cross(e,li);++e) ; |
| 511 | 511 |
Edge ne; |
| 512 | 512 |
if(e==INVALID) {
|
| 513 | 513 |
ConstMap<Arc,int> cegy(1); |
| 514 |
Suurballe<ListGraph,ConstMap<Arc,int> > |
|
| 515 |
sur(g,cegy,pi->a,pi->b); |
|
| 516 |
int |
|
| 514 |
Suurballe<ListGraph,ConstMap<Arc,int> > sur(g,cegy); |
|
| 515 |
int k=sur.run(pi->a,pi->b,2); |
|
| 517 | 516 |
if(k<2 || sur.totalLength()>d) |
| 518 | 517 |
{
|
| 519 | 518 |
ne=g.addEdge(pi->a,pi->b); |
| 520 | 519 |
arcs.push_back(ne); |
| 521 | 520 |
cnt++; |
| 522 | 521 |
} |
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