... | ... |
@@ -234,13 +234,12 @@ |
234 | 234 |
} |
235 | 235 |
|
236 | 236 |
private: |
237 | 237 |
std::vector<Value>& _v; |
238 | 238 |
}; |
239 | 239 |
|
240 |
typedef StaticVectorMap<StaticDigraph::Node, LargeCost> LargeCostNodeMap; |
|
241 | 240 |
typedef StaticVectorMap<StaticDigraph::Arc, LargeCost> LargeCostArcMap; |
242 | 241 |
|
243 | 242 |
private: |
244 | 243 |
|
245 | 244 |
// Data related to the underlying digraph |
246 | 245 |
const GR &_graph; |
... | ... |
@@ -285,20 +284,12 @@ |
285 | 284 |
IntVector _buckets; |
286 | 285 |
IntVector _bucket_next; |
287 | 286 |
IntVector _bucket_prev; |
288 | 287 |
IntVector _rank; |
289 | 288 |
int _max_rank; |
290 | 289 |
|
291 |
// Data for a StaticDigraph structure |
|
292 |
typedef std::pair<int, int> IntPair; |
|
293 |
StaticDigraph _sgr; |
|
294 |
std::vector<IntPair> _arc_vec; |
|
295 |
std::vector<LargeCost> _cost_vec; |
|
296 |
LargeCostArcMap _cost_map; |
|
297 |
LargeCostNodeMap _pi_map; |
|
298 |
|
|
299 | 290 |
public: |
300 | 291 |
|
301 | 292 |
/// \brief Constant for infinite upper bounds (capacities). |
302 | 293 |
/// |
303 | 294 |
/// Constant for infinite upper bounds (capacities). |
304 | 295 |
/// It is \c std::numeric_limits<Value>::infinity() if available, |
... | ... |
@@ -339,13 +330,12 @@ |
339 | 330 |
/// |
340 | 331 |
/// The constructor of the class. |
341 | 332 |
/// |
342 | 333 |
/// \param graph The digraph the algorithm runs on. |
343 | 334 |
CostScaling(const GR& graph) : |
344 | 335 |
_graph(graph), _node_id(graph), _arc_idf(graph), _arc_idb(graph), |
345 |
_cost_map(_cost_vec), _pi_map(_pi), |
|
346 | 336 |
INF(std::numeric_limits<Value>::has_infinity ? |
347 | 337 |
std::numeric_limits<Value>::infinity() : |
348 | 338 |
std::numeric_limits<Value>::max()) |
349 | 339 |
{ |
350 | 340 |
// Check the number types |
351 | 341 |
LEMON_ASSERT(std::numeric_limits<Value>::is_signed, |
... | ... |
@@ -616,15 +606,12 @@ |
616 | 606 |
_res_cap.resize(_res_arc_num); |
617 | 607 |
_cost.resize(_res_arc_num); |
618 | 608 |
_pi.resize(_res_node_num); |
619 | 609 |
_excess.resize(_res_node_num); |
620 | 610 |
_next_out.resize(_res_node_num); |
621 | 611 |
|
622 |
_arc_vec.reserve(_res_arc_num); |
|
623 |
_cost_vec.reserve(_res_arc_num); |
|
624 |
|
|
625 | 612 |
// Copy the graph |
626 | 613 |
int i = 0, j = 0, k = 2 * _arc_num + _node_num; |
627 | 614 |
for (NodeIt n(_graph); n != INVALID; ++n, ++i) { |
628 | 615 |
_node_id[n] = i; |
629 | 616 |
} |
630 | 617 |
i = 0; |
... | ... |
@@ -920,29 +907,70 @@ |
920 | 907 |
break; |
921 | 908 |
case PARTIAL_AUGMENT: |
922 | 909 |
startAugment(MAX_PARTIAL_PATH_LENGTH); |
923 | 910 |
break; |
924 | 911 |
} |
925 | 912 |
|
926 |
// Compute node potentials for the original costs |
|
927 |
_arc_vec.clear(); |
|
928 |
|
|
913 |
// Compute node potentials (dual solution) |
|
914 |
for (int i = 0; i != _res_node_num; ++i) { |
|
915 |
_pi[i] = static_cast<Cost>(_pi[i] / (_res_node_num * _alpha)); |
|
916 |
} |
|
917 |
bool optimal = true; |
|
918 |
for (int i = 0; optimal && i != _res_node_num; ++i) { |
|
919 |
LargeCost pi_i = _pi[i]; |
|
920 |
int last_out = _first_out[i+1]; |
|
921 |
for (int j = _first_out[i]; j != last_out; ++j) { |
|
922 |
if (_res_cap[j] > 0 && _scost[j] + pi_i - _pi[_target[j]] < 0) { |
|
923 |
optimal = false; |
|
924 |
break; |
|
925 |
} |
|
926 |
} |
|
927 |
} |
|
928 |
|
|
929 |
if (!optimal) { |
|
930 |
// Compute node potentials for the original costs with BellmanFord |
|
931 |
// (if it is necessary) |
|
932 |
typedef std::pair<int, int> IntPair; |
|
933 |
StaticDigraph sgr; |
|
934 |
std::vector<IntPair> arc_vec; |
|
935 |
std::vector<LargeCost> cost_vec; |
|
936 |
LargeCostArcMap cost_map(cost_vec); |
|
937 |
|
|
938 |
arc_vec.clear(); |
|
939 |
cost_vec.clear(); |
|
929 | 940 |
for (int j = 0; j != _res_arc_num; ++j) { |
930 | 941 |
if (_res_cap[j] > 0) { |
931 |
_arc_vec.push_back(IntPair(_source[j], _target[j])); |
|
932 |
_cost_vec.push_back(_scost[j]); |
|
942 |
int u = _source[j], v = _target[j]; |
|
943 |
arc_vec.push_back(IntPair(u, v)); |
|
944 |
cost_vec.push_back(_scost[j] + _pi[u] - _pi[v]); |
|
933 | 945 |
} |
934 | 946 |
} |
935 |
|
|
947 |
sgr.build(_res_node_num, arc_vec.begin(), arc_vec.end()); |
|
936 | 948 |
|
937 |
typename BellmanFord<StaticDigraph, LargeCostArcMap> |
|
938 |
::template SetDistMap<LargeCostNodeMap>::Create bf(_sgr, _cost_map); |
|
939 |
|
|
949 |
typename BellmanFord<StaticDigraph, LargeCostArcMap>::Create |
|
950 |
bf(sgr, cost_map); |
|
940 | 951 |
bf.init(0); |
941 | 952 |
bf.start(); |
942 | 953 |
|
954 |
for (int i = 0; i != _res_node_num; ++i) { |
|
955 |
_pi[i] += bf.dist(sgr.node(i)); |
|
956 |
} |
|
957 |
} |
|
958 |
|
|
959 |
// Shift potentials to meet the requirements of the GEQ type |
|
960 |
// optimality conditions |
|
961 |
LargeCost max_pot = _pi[_root]; |
|
962 |
for (int i = 0; i != _res_node_num; ++i) { |
|
963 |
if (_pi[i] > max_pot) max_pot = _pi[i]; |
|
964 |
} |
|
965 |
if (max_pot != 0) { |
|
966 |
for (int i = 0; i != _res_node_num; ++i) { |
|
967 |
_pi[i] -= max_pot; |
|
968 |
} |
|
969 |
} |
|
970 |
|
|
943 | 971 |
// Handle non-zero lower bounds |
944 | 972 |
if (_have_lower) { |
945 | 973 |
int limit = _first_out[_root]; |
946 | 974 |
for (int j = 0; j != limit; ++j) { |
947 | 975 |
if (!_forward[j]) _res_cap[j] += _lower[j]; |
948 | 976 |
} |
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