... | ... |
@@ -1094,137 +1094,156 @@ |
1094 | 1094 |
int k = std::min(_rank[u], r); |
1095 | 1095 |
if (k > 0) { |
1096 | 1096 |
_pi[u] -= _epsilon * k; |
1097 | 1097 |
_next_out[u] = _first_out[u]; |
1098 | 1098 |
} |
1099 | 1099 |
} |
1100 | 1100 |
} |
1101 | 1101 |
|
1102 | 1102 |
/// Execute the algorithm performing augment and relabel operations |
1103 | 1103 |
void startAugment(int max_length) { |
1104 | 1104 |
// Paramters for heuristics |
1105 | 1105 |
const int EARLY_TERM_EPSILON_LIMIT = 1000; |
1106 |
const double GLOBAL_UPDATE_FACTOR = 3.0; |
|
1107 |
|
|
1108 |
const |
|
1106 |
const double GLOBAL_UPDATE_FACTOR = 1.0; |
|
1107 |
const int global_update_skip = static_cast<int>(GLOBAL_UPDATE_FACTOR * |
|
1109 | 1108 |
(_res_node_num + _sup_node_num * _sup_node_num)); |
1110 |
int next_update_limit = global_update_freq; |
|
1111 |
|
|
1112 |
int |
|
1109 |
int next_global_update_limit = global_update_skip; |
|
1113 | 1110 |
|
1114 | 1111 |
// Perform cost scaling phases |
1115 |
|
|
1112 |
IntVector path; |
|
1113 |
BoolVector path_arc(_res_arc_num, false); |
|
1114 |
int relabel_cnt = 0; |
|
1116 | 1115 |
for ( ; _epsilon >= 1; _epsilon = _epsilon < _alpha && _epsilon > 1 ? |
1117 | 1116 |
1 : _epsilon / _alpha ) |
1118 | 1117 |
{ |
1119 | 1118 |
// Early termination heuristic |
1120 | 1119 |
if (_epsilon <= EARLY_TERM_EPSILON_LIMIT) { |
1121 | 1120 |
if (earlyTermination()) break; |
1122 | 1121 |
} |
1123 | 1122 |
|
1124 | 1123 |
// Initialize current phase |
1125 | 1124 |
initPhase(); |
1126 | 1125 |
|
1127 | 1126 |
// Perform partial augment and relabel operations |
1128 | 1127 |
while (true) { |
1129 | 1128 |
// Select an active node (FIFO selection) |
1130 | 1129 |
while (_active_nodes.size() > 0 && |
1131 | 1130 |
_excess[_active_nodes.front()] <= 0) { |
1132 | 1131 |
_active_nodes.pop_front(); |
1133 | 1132 |
} |
1134 | 1133 |
if (_active_nodes.size() == 0) break; |
1135 | 1134 |
int start = _active_nodes.front(); |
1136 | 1135 |
|
1137 | 1136 |
// Find an augmenting path from the start node |
1138 |
path.clear(); |
|
1139 | 1137 |
int tip = start; |
1140 |
while ( |
|
1138 |
while (int(path.size()) < max_length && _excess[tip] >= 0) { |
|
1141 | 1139 |
int u; |
1142 |
LargeCost |
|
1140 |
LargeCost rc, min_red_cost = std::numeric_limits<LargeCost>::max(); |
|
1141 |
LargeCost pi_tip = _pi[tip]; |
|
1143 | 1142 |
int last_out = _first_out[tip+1]; |
1144 | 1143 |
for (int a = _next_out[tip]; a != last_out; ++a) { |
1145 |
u = _target[a]; |
|
1146 |
if (_res_cap[a] > 0 && _cost[a] + pi_tip - _pi[u] < 0) { |
|
1147 |
path.push_back(a); |
|
1148 |
_next_out[tip] = a; |
|
1149 |
tip = u; |
|
1150 |
goto next_step; |
|
1144 |
if (_res_cap[a] > 0) { |
|
1145 |
u = _target[a]; |
|
1146 |
rc = _cost[a] + pi_tip - _pi[u]; |
|
1147 |
if (rc < 0) { |
|
1148 |
path.push_back(a); |
|
1149 |
_next_out[tip] = a; |
|
1150 |
if (path_arc[a]) { |
|
1151 |
goto augment; // a cycle is found, stop path search |
|
1152 |
} |
|
1153 |
tip = u; |
|
1154 |
path_arc[a] = true; |
|
1155 |
goto next_step; |
|
1156 |
} |
|
1157 |
else if (rc < min_red_cost) { |
|
1158 |
min_red_cost = rc; |
|
1159 |
} |
|
1151 | 1160 |
} |
1152 | 1161 |
} |
1153 | 1162 |
|
1154 | 1163 |
// Relabel tip node |
1155 |
min_red_cost = std::numeric_limits<LargeCost>::max(); |
|
1156 | 1164 |
if (tip != start) { |
1157 | 1165 |
int ra = _reverse[path.back()]; |
1158 |
min_red_cost = |
|
1166 |
min_red_cost = |
|
1167 |
std::min(min_red_cost, _cost[ra] + pi_tip - _pi[_target[ra]]); |
|
1159 | 1168 |
} |
1169 |
last_out = _next_out[tip]; |
|
1160 | 1170 |
for (int a = _first_out[tip]; a != last_out; ++a) { |
1161 |
rc = _cost[a] + pi_tip - _pi[_target[a]]; |
|
1162 |
if (_res_cap[a] > 0 && rc < min_red_cost) { |
|
1163 |
|
|
1171 |
if (_res_cap[a] > 0) { |
|
1172 |
rc = _cost[a] + pi_tip - _pi[_target[a]]; |
|
1173 |
if (rc < min_red_cost) { |
|
1174 |
min_red_cost = rc; |
|
1175 |
} |
|
1164 | 1176 |
} |
1165 | 1177 |
} |
1166 | 1178 |
_pi[tip] -= min_red_cost + _epsilon; |
1167 | 1179 |
_next_out[tip] = _first_out[tip]; |
1168 | 1180 |
++relabel_cnt; |
1169 | 1181 |
|
1170 | 1182 |
// Step back |
1171 | 1183 |
if (tip != start) { |
1172 |
|
|
1184 |
int pa = path.back(); |
|
1185 |
path_arc[pa] = false; |
|
1186 |
tip = _source[pa]; |
|
1173 | 1187 |
path.pop_back(); |
1174 | 1188 |
} |
1175 | 1189 |
|
1176 | 1190 |
next_step: ; |
1177 | 1191 |
} |
1178 | 1192 |
|
1179 | 1193 |
// Augment along the found path (as much flow as possible) |
1194 |
augment: |
|
1180 | 1195 |
Value delta; |
1181 | 1196 |
int pa, u, v = start; |
1182 | 1197 |
for (int i = 0; i != int(path.size()); ++i) { |
1183 | 1198 |
pa = path[i]; |
1184 | 1199 |
u = v; |
1185 | 1200 |
v = _target[pa]; |
1201 |
path_arc[pa] = false; |
|
1186 | 1202 |
delta = std::min(_res_cap[pa], _excess[u]); |
1187 | 1203 |
_res_cap[pa] -= delta; |
1188 | 1204 |
_res_cap[_reverse[pa]] += delta; |
1189 | 1205 |
_excess[u] -= delta; |
1190 | 1206 |
_excess[v] += delta; |
1191 |
if (_excess[v] > 0 && _excess[v] <= delta) |
|
1207 |
if (_excess[v] > 0 && _excess[v] <= delta) { |
|
1192 | 1208 |
_active_nodes.push_back(v); |
1209 |
} |
|
1193 | 1210 |
} |
1211 |
path.clear(); |
|
1194 | 1212 |
|
1195 | 1213 |
// Global update heuristic |
1196 |
if (relabel_cnt >= |
|
1214 |
if (relabel_cnt >= next_global_update_limit) { |
|
1197 | 1215 |
globalUpdate(); |
1198 |
|
|
1216 |
next_global_update_limit += global_update_skip; |
|
1199 | 1217 |
} |
1200 | 1218 |
} |
1219 |
|
|
1201 | 1220 |
} |
1221 |
|
|
1202 | 1222 |
} |
1203 | 1223 |
|
1204 | 1224 |
/// Execute the algorithm performing push and relabel operations |
1205 | 1225 |
void startPush() { |
1206 | 1226 |
// Paramters for heuristics |
1207 | 1227 |
const int EARLY_TERM_EPSILON_LIMIT = 1000; |
1208 | 1228 |
const double GLOBAL_UPDATE_FACTOR = 2.0; |
1209 | 1229 |
|
1210 |
const int |
|
1230 |
const int global_update_skip = static_cast<int>(GLOBAL_UPDATE_FACTOR * |
|
1211 | 1231 |
(_res_node_num + _sup_node_num * _sup_node_num)); |
1212 |
int next_update_limit = global_update_freq; |
|
1213 |
|
|
1214 |
int |
|
1232 |
int next_global_update_limit = global_update_skip; |
|
1215 | 1233 |
|
1216 | 1234 |
// Perform cost scaling phases |
1217 | 1235 |
BoolVector hyper(_res_node_num, false); |
1218 | 1236 |
LargeCostVector hyper_cost(_res_node_num); |
1237 |
int relabel_cnt = 0; |
|
1219 | 1238 |
for ( ; _epsilon >= 1; _epsilon = _epsilon < _alpha && _epsilon > 1 ? |
1220 | 1239 |
1 : _epsilon / _alpha ) |
1221 | 1240 |
{ |
1222 | 1241 |
// Early termination heuristic |
1223 | 1242 |
if (_epsilon <= EARLY_TERM_EPSILON_LIMIT) { |
1224 | 1243 |
if (earlyTermination()) break; |
1225 | 1244 |
} |
1226 | 1245 |
|
1227 | 1246 |
// Initialize current phase |
1228 | 1247 |
initPhase(); |
1229 | 1248 |
|
1230 | 1249 |
// Perform push and relabel operations |
... | ... |
@@ -1284,49 +1303,51 @@ |
1284 | 1303 |
goto remove_nodes; |
1285 | 1304 |
} |
1286 | 1305 |
} |
1287 | 1306 |
} |
1288 | 1307 |
_next_out[n] = a; |
1289 | 1308 |
} |
1290 | 1309 |
|
1291 | 1310 |
// Relabel the node if it is still active (or hyper) |
1292 | 1311 |
if (_excess[n] > 0 || hyper[n]) { |
1293 | 1312 |
min_red_cost = hyper[n] ? -hyper_cost[n] : |
1294 | 1313 |
std::numeric_limits<LargeCost>::max(); |
1295 | 1314 |
for (int a = _first_out[n]; a != last_out; ++a) { |
1296 |
rc = _cost[a] + pi_n - _pi[_target[a]]; |
|
1297 |
if (_res_cap[a] > 0 && rc < min_red_cost) { |
|
1298 |
|
|
1315 |
if (_res_cap[a] > 0) { |
|
1316 |
rc = _cost[a] + pi_n - _pi[_target[a]]; |
|
1317 |
if (rc < min_red_cost) { |
|
1318 |
min_red_cost = rc; |
|
1319 |
} |
|
1299 | 1320 |
} |
1300 | 1321 |
} |
1301 | 1322 |
_pi[n] -= min_red_cost + _epsilon; |
1302 | 1323 |
_next_out[n] = _first_out[n]; |
1303 | 1324 |
hyper[n] = false; |
1304 | 1325 |
++relabel_cnt; |
1305 | 1326 |
} |
1306 | 1327 |
|
1307 | 1328 |
// Remove nodes that are not active nor hyper |
1308 | 1329 |
remove_nodes: |
1309 | 1330 |
while ( _active_nodes.size() > 0 && |
1310 | 1331 |
_excess[_active_nodes.front()] <= 0 && |
1311 | 1332 |
!hyper[_active_nodes.front()] ) { |
1312 | 1333 |
_active_nodes.pop_front(); |
1313 | 1334 |
} |
1314 | 1335 |
|
1315 | 1336 |
// Global update heuristic |
1316 |
if (relabel_cnt >= |
|
1337 |
if (relabel_cnt >= next_global_update_limit) { |
|
1317 | 1338 |
globalUpdate(); |
1318 | 1339 |
for (int u = 0; u != _res_node_num; ++u) |
1319 | 1340 |
hyper[u] = false; |
1320 |
|
|
1341 |
next_global_update_limit += global_update_skip; |
|
1321 | 1342 |
} |
1322 | 1343 |
} |
1323 | 1344 |
} |
1324 | 1345 |
} |
1325 | 1346 |
|
1326 | 1347 |
}; //class CostScaling |
1327 | 1348 |
|
1328 | 1349 |
///@} |
1329 | 1350 |
|
1330 | 1351 |
} //namespace lemon |
1331 | 1352 |
|
1332 | 1353 |
#endif //LEMON_COST_SCALING_H |
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