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2
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| ... | ... |
@@ -51,6 +51,8 @@ |
| 51 | 51 |
/// \tparam GR The digraph type the algorithm runs on. |
| 52 |
/// \tparam V The value type used in the algorithm. |
|
| 53 |
/// By default it is \c int. |
|
| 52 |
/// \tparam F The value type used for flow amounts, capacity bounds |
|
| 53 |
/// and supply values in the algorithm. By default it is \c int. |
|
| 54 |
/// \tparam C The value type used for costs and potentials in the |
|
| 55 |
/// algorithm. By default it is the same as \c F. |
|
| 54 | 56 |
/// |
| 55 |
/// \warning |
|
| 57 |
/// \warning Both value types must be signed integer types. |
|
| 56 | 58 |
/// |
| ... | ... |
@@ -58,3 +60,3 @@ |
| 58 | 60 |
/// implementations. For more information see \ref PivotRule. |
| 59 |
template <typename GR, typename |
|
| 61 |
template <typename GR, typename F = int, typename C = F> |
|
| 60 | 62 |
class NetworkSimplex |
| ... | ... |
@@ -63,8 +65,10 @@ |
| 63 | 65 |
|
| 64 |
/// The value type of the algorithm |
|
| 65 |
typedef V Value; |
|
| 66 |
/// The flow type of the algorithm |
|
| 67 |
typedef F Flow; |
|
| 68 |
/// The cost type of the algorithm |
|
| 69 |
typedef C Cost; |
|
| 66 | 70 |
/// The type of the flow map |
| 67 |
typedef typename GR::template ArcMap< |
|
| 71 |
typedef typename GR::template ArcMap<Flow> FlowMap; |
|
| 68 | 72 |
/// The type of the potential map |
| 69 |
typedef typename GR::template NodeMap< |
|
| 73 |
typedef typename GR::template NodeMap<Cost> PotentialMap; |
|
| 70 | 74 |
|
| ... | ... |
@@ -119,4 +123,5 @@ |
| 119 | 123 |
|
| 120 |
typedef typename GR::template ArcMap<Value> ValueArcMap; |
|
| 121 |
typedef typename GR::template NodeMap<Value> ValueNodeMap; |
|
| 124 |
typedef typename GR::template ArcMap<Flow> FlowArcMap; |
|
| 125 |
typedef typename GR::template ArcMap<Cost> CostArcMap; |
|
| 126 |
typedef typename GR::template NodeMap<Flow> FlowNodeMap; |
|
| 122 | 127 |
|
| ... | ... |
@@ -126,3 +131,4 @@ |
| 126 | 131 |
typedef std::vector<bool> BoolVector; |
| 127 |
typedef std::vector< |
|
| 132 |
typedef std::vector<Flow> FlowVector; |
|
| 133 |
typedef std::vector<Cost> CostVector; |
|
| 128 | 134 |
|
| ... | ... |
@@ -143,9 +149,9 @@ |
| 143 | 149 |
// Parameters of the problem |
| 144 |
ValueArcMap *_plower; |
|
| 145 |
ValueArcMap *_pupper; |
|
| 146 |
ValueArcMap *_pcost; |
|
| 147 |
ValueNodeMap *_psupply; |
|
| 150 |
FlowArcMap *_plower; |
|
| 151 |
FlowArcMap *_pupper; |
|
| 152 |
CostArcMap *_pcost; |
|
| 153 |
FlowNodeMap *_psupply; |
|
| 148 | 154 |
bool _pstsup; |
| 149 | 155 |
Node _psource, _ptarget; |
| 150 |
|
|
| 156 |
Flow _pstflow; |
|
| 151 | 157 |
|
| ... | ... |
@@ -164,7 +170,7 @@ |
| 164 | 170 |
// Node and arc data |
| 165 |
ValueVector _cap; |
|
| 166 |
ValueVector _cost; |
|
| 167 |
ValueVector _supply; |
|
| 168 |
ValueVector _flow; |
|
| 169 |
|
|
| 171 |
FlowVector _cap; |
|
| 172 |
CostVector _cost; |
|
| 173 |
FlowVector _supply; |
|
| 174 |
FlowVector _flow; |
|
| 175 |
CostVector _pi; |
|
| 170 | 176 |
|
| ... | ... |
@@ -186,3 +192,3 @@ |
| 186 | 192 |
int stem, par_stem, new_stem; |
| 187 |
|
|
| 193 |
Flow delta; |
|
| 188 | 194 |
|
| ... | ... |
@@ -198,5 +204,5 @@ |
| 198 | 204 |
const IntVector &_target; |
| 199 |
const |
|
| 205 |
const CostVector &_cost; |
|
| 200 | 206 |
const IntVector &_state; |
| 201 |
const |
|
| 207 |
const CostVector &_pi; |
|
| 202 | 208 |
int &_in_arc; |
| ... | ... |
@@ -218,3 +224,3 @@ |
| 218 | 224 |
bool findEnteringArc() {
|
| 219 |
|
|
| 225 |
Cost c; |
|
| 220 | 226 |
for (int e = _next_arc; e < _arc_num; ++e) {
|
| ... | ... |
@@ -249,5 +255,5 @@ |
| 249 | 255 |
const IntVector &_target; |
| 250 |
const |
|
| 256 |
const CostVector &_cost; |
|
| 251 | 257 |
const IntVector &_state; |
| 252 |
const |
|
| 258 |
const CostVector &_pi; |
|
| 253 | 259 |
int &_in_arc; |
| ... | ... |
@@ -266,3 +272,3 @@ |
| 266 | 272 |
bool findEnteringArc() {
|
| 267 |
|
|
| 273 |
Cost c, min = 0; |
|
| 268 | 274 |
for (int e = 0; e < _arc_num; ++e) {
|
| ... | ... |
@@ -288,5 +294,5 @@ |
| 288 | 294 |
const IntVector &_target; |
| 289 |
const |
|
| 295 |
const CostVector &_cost; |
|
| 290 | 296 |
const IntVector &_state; |
| 291 |
const |
|
| 297 |
const CostVector &_pi; |
|
| 292 | 298 |
int &_in_arc; |
| ... | ... |
@@ -316,3 +322,3 @@ |
| 316 | 322 |
bool findEnteringArc() {
|
| 317 |
|
|
| 323 |
Cost c, min = 0; |
|
| 318 | 324 |
int cnt = _block_size; |
| ... | ... |
@@ -360,5 +366,5 @@ |
| 360 | 366 |
const IntVector &_target; |
| 361 |
const |
|
| 367 |
const CostVector &_cost; |
|
| 362 | 368 |
const IntVector &_state; |
| 363 |
const |
|
| 369 |
const CostVector &_pi; |
|
| 364 | 370 |
int &_in_arc; |
| ... | ... |
@@ -396,3 +402,3 @@ |
| 396 | 402 |
bool findEnteringArc() {
|
| 397 |
|
|
| 403 |
Cost min, c; |
|
| 398 | 404 |
int e, min_arc = _next_arc; |
| ... | ... |
@@ -465,5 +471,5 @@ |
| 465 | 471 |
const IntVector &_target; |
| 466 |
const |
|
| 472 |
const CostVector &_cost; |
|
| 467 | 473 |
const IntVector &_state; |
| 468 |
const |
|
| 474 |
const CostVector &_pi; |
|
| 469 | 475 |
int &_in_arc; |
| ... | ... |
@@ -475,3 +481,3 @@ |
| 475 | 481 |
IntVector _candidates; |
| 476 |
|
|
| 482 |
CostVector _cand_cost; |
|
| 477 | 483 |
|
| ... | ... |
@@ -481,5 +487,5 @@ |
| 481 | 487 |
private: |
| 482 |
const |
|
| 488 |
const CostVector &_map; |
|
| 483 | 489 |
public: |
| 484 |
SortFunc(const |
|
| 490 |
SortFunc(const CostVector &map) : _map(map) {}
|
|
| 485 | 491 |
bool operator()(int left, int right) {
|
| ... | ... |
@@ -592,5 +598,8 @@ |
| 592 | 598 |
{
|
| 593 |
LEMON_ASSERT(std::numeric_limits<Value>::is_integer && |
|
| 594 |
std::numeric_limits<Value>::is_signed, |
|
| 595 |
|
|
| 599 |
LEMON_ASSERT(std::numeric_limits<Flow>::is_integer && |
|
| 600 |
std::numeric_limits<Flow>::is_signed, |
|
| 601 |
"The flow type of NetworkSimplex must be signed integer"); |
|
| 602 |
LEMON_ASSERT(std::numeric_limits<Cost>::is_integer && |
|
| 603 |
std::numeric_limits<Cost>::is_signed, |
|
| 604 |
"The cost type of NetworkSimplex must be signed integer"); |
|
| 596 | 605 |
} |
| ... | ... |
@@ -611,3 +620,3 @@ |
| 611 | 620 |
/// \param map An arc map storing the lower bounds. |
| 612 |
/// Its \c Value type must be convertible to the \c |
|
| 621 |
/// Its \c Value type must be convertible to the \c Flow type |
|
| 613 | 622 |
/// of the algorithm. |
| ... | ... |
@@ -618,3 +627,3 @@ |
| 618 | 627 |
delete _plower; |
| 619 |
_plower = new |
|
| 628 |
_plower = new FlowArcMap(_graph); |
|
| 620 | 629 |
for (ArcIt a(_graph); a != INVALID; ++a) {
|
| ... | ... |
@@ -631,6 +640,6 @@ |
| 631 | 640 |
/// the upper bounds (capacities) will be set to |
| 632 |
/// \c std::numeric_limits< |
|
| 641 |
/// \c std::numeric_limits<Flow>::max() on all arcs. |
|
| 633 | 642 |
/// |
| 634 | 643 |
/// \param map An arc map storing the upper bounds. |
| 635 |
/// Its \c Value type must be convertible to the \c |
|
| 644 |
/// Its \c Value type must be convertible to the \c Flow type |
|
| 636 | 645 |
/// of the algorithm. |
| ... | ... |
@@ -641,3 +650,3 @@ |
| 641 | 650 |
delete _pupper; |
| 642 |
_pupper = new |
|
| 651 |
_pupper = new FlowArcMap(_graph); |
|
| 643 | 652 |
for (ArcIt a(_graph); a != INVALID; ++a) {
|
| ... | ... |
@@ -668,3 +677,3 @@ |
| 668 | 677 |
/// the upper bounds (capacities) will be set to |
| 669 |
/// \c std::numeric_limits< |
|
| 678 |
/// \c std::numeric_limits<Flow>::max() on all arcs. |
|
| 670 | 679 |
/// |
| ... | ... |
@@ -674,3 +683,3 @@ |
| 674 | 683 |
/// The \c Value type of the maps must be convertible to the |
| 675 |
/// \c |
|
| 684 |
/// \c Flow type of the algorithm. |
|
| 676 | 685 |
/// |
| ... | ... |
@@ -692,3 +701,3 @@ |
| 692 | 701 |
/// \param map An arc map storing the costs. |
| 693 |
/// Its \c Value type must be convertible to the \c |
|
| 702 |
/// Its \c Value type must be convertible to the \c Cost type |
|
| 694 | 703 |
/// of the algorithm. |
| ... | ... |
@@ -699,3 +708,3 @@ |
| 699 | 708 |
delete _pcost; |
| 700 |
_pcost = new |
|
| 709 |
_pcost = new CostArcMap(_graph); |
|
| 701 | 710 |
for (ArcIt a(_graph); a != INVALID; ++a) {
|
| ... | ... |
@@ -714,3 +723,3 @@ |
| 714 | 723 |
/// \param map A node map storing the supply values. |
| 715 |
/// Its \c Value type must be convertible to the \c |
|
| 724 |
/// Its \c Value type must be convertible to the \c Flow type |
|
| 716 | 725 |
/// of the algorithm. |
| ... | ... |
@@ -722,3 +731,3 @@ |
| 722 | 731 |
_pstsup = false; |
| 723 |
_psupply = new |
|
| 732 |
_psupply = new FlowNodeMap(_graph); |
|
| 724 | 733 |
for (NodeIt n(_graph); n != INVALID; ++n) {
|
| ... | ... |
@@ -743,3 +752,3 @@ |
| 743 | 752 |
/// \return <tt>(*this)</tt> |
| 744 |
NetworkSimplex& stSupply(const Node& s, const Node& t, |
|
| 753 |
NetworkSimplex& stSupply(const Node& s, const Node& t, Flow k) {
|
|
| 745 | 754 |
delete _psupply; |
| ... | ... |
@@ -876,3 +885,3 @@ |
| 876 | 885 |
/// This function returns the total cost of the found flow. |
| 877 |
/// The complexity of the function is |
|
| 886 |
/// The complexity of the function is O(e). |
|
| 878 | 887 |
/// |
| ... | ... |
@@ -883,3 +892,3 @@ |
| 883 | 892 |
/// \endcode |
| 884 |
/// It is useful if the total cost cannot be stored in the \c |
|
| 893 |
/// It is useful if the total cost cannot be stored in the \c Cost |
|
| 885 | 894 |
/// type of the algorithm, which is the default return type of the |
| ... | ... |
@@ -902,4 +911,4 @@ |
| 902 | 911 |
#ifndef DOXYGEN |
| 903 |
Value totalCost() const {
|
|
| 904 |
return totalCost<Value>(); |
|
| 912 |
Cost totalCost() const {
|
|
| 913 |
return totalCost<Cost>(); |
|
| 905 | 914 |
} |
| ... | ... |
@@ -912,3 +921,3 @@ |
| 912 | 921 |
/// \pre \ref run() must be called before using this function. |
| 913 |
|
|
| 922 |
Flow flow(const Arc& a) const {
|
|
| 914 | 923 |
return (*_flow_map)[a]; |
| ... | ... |
@@ -932,3 +941,3 @@ |
| 932 | 941 |
/// \pre \ref run() must be called before using this function. |
| 933 |
|
|
| 942 |
Cost potential(const Node& n) const {
|
|
| 934 | 943 |
return (*_potential_map)[n]; |
| ... | ... |
@@ -998,3 +1007,3 @@ |
| 998 | 1007 |
if (_psupply) {
|
| 999 |
|
|
| 1008 |
Flow sum = 0; |
|
| 1000 | 1009 |
int i = 0; |
| ... | ... |
@@ -1037,2 +1046,4 @@ |
| 1037 | 1046 |
// Initialize arc maps |
| 1047 |
Flow max_cap = std::numeric_limits<Flow>::max(); |
|
| 1048 |
Cost max_cost = std::numeric_limits<Cost>::max() / 4; |
|
| 1038 | 1049 |
if (_pupper && _pcost) {
|
| ... | ... |
@@ -1059,5 +1070,4 @@ |
| 1059 | 1070 |
} else {
|
| 1060 |
Value val = std::numeric_limits<Value>::max(); |
|
| 1061 | 1071 |
for (int i = 0; i != _arc_num; ++i) |
| 1062 |
_cap[i] = |
|
| 1072 |
_cap[i] = max_cap; |
|
| 1063 | 1073 |
} |
| ... | ... |
@@ -1075,3 +1085,3 @@ |
| 1075 | 1085 |
for (int i = 0; i != _arc_num; ++i) {
|
| 1076 |
|
|
| 1086 |
Flow c = (*_plower)[_arc_ref[i]]; |
|
| 1077 | 1087 |
if (c != 0) {
|
| ... | ... |
@@ -1085,4 +1095,2 @@ |
| 1085 | 1095 |
// Add artificial arcs and initialize the spanning tree data structure |
| 1086 |
Value max_cap = std::numeric_limits<Value>::max(); |
|
| 1087 |
Value max_cost = std::numeric_limits<Value>::max() / 4; |
|
| 1088 | 1096 |
for (int u = 0, e = _arc_num; u != _node_num; ++u, ++e) {
|
| ... | ... |
@@ -1139,3 +1147,3 @@ |
| 1139 | 1147 |
int result = 0; |
| 1140 |
|
|
| 1148 |
Flow d; |
|
| 1141 | 1149 |
int e; |
| ... | ... |
@@ -1177,3 +1185,3 @@ |
| 1177 | 1185 |
if (delta > 0) {
|
| 1178 |
|
|
| 1186 |
Flow val = _state[in_arc] * delta; |
|
| 1179 | 1187 |
_flow[in_arc] += val; |
| ... | ... |
@@ -1318,3 +1326,3 @@ |
| 1318 | 1326 |
void updatePotential() {
|
| 1319 |
|
|
| 1327 |
Cost sigma = _forward[u_in] ? |
|
| 1320 | 1328 |
_pi[v_in] - _pi[u_in] - _cost[_pred[u_in]] : |
| ... | ... |
@@ -79,3 +79,3 @@ |
| 79 | 79 |
// Check the interface of an MCF algorithm |
| 80 |
template <typename GR, typename |
|
| 80 |
template <typename GR, typename Flow, typename Cost> |
|
| 81 | 81 |
class McfClassConcept |
| ... | ... |
@@ -118,9 +118,10 @@ |
| 118 | 118 |
typedef typename GR::Arc Arc; |
| 119 |
typedef concepts::ReadMap<Node, Value> NM; |
|
| 120 |
typedef concepts::ReadMap<Arc, Value> AM; |
|
| 119 |
typedef concepts::ReadMap<Node, Flow> NM; |
|
| 120 |
typedef concepts::ReadMap<Arc, Flow> FAM; |
|
| 121 |
typedef concepts::ReadMap<Arc, Cost> CAM; |
|
| 121 | 122 |
|
| 122 | 123 |
const GR &g; |
| 123 |
const AM &lower; |
|
| 124 |
const AM &upper; |
|
| 125 |
const |
|
| 124 |
const FAM &lower; |
|
| 125 |
const FAM &upper; |
|
| 126 |
const CAM &cost; |
|
| 126 | 127 |
const NM ⊃ |
| ... | ... |
@@ -128,4 +129,4 @@ |
| 128 | 129 |
const Arc &a; |
| 129 |
const Value &k; |
|
| 130 |
Value v; |
|
| 130 |
const Flow &k; |
|
| 131 |
Flow v; |
|
| 131 | 132 |
bool b; |
| ... | ... |
@@ -208,3 +209,4 @@ |
| 208 | 209 |
{
|
| 209 |
typedef int |
|
| 210 |
typedef int Flow; |
|
| 211 |
typedef int Cost; |
|
| 210 | 212 |
// TODO: This typedef should be enabled if the standard maps are |
| ... | ... |
@@ -215,4 +217,4 @@ |
| 215 | 217 |
/**/ |
| 216 |
checkConcept< McfClassConcept<GR, Value>, |
|
| 217 |
NetworkSimplex<GR, Value> >(); |
|
| 218 |
checkConcept< McfClassConcept<GR, Flow, Cost>, |
|
| 219 |
NetworkSimplex<GR, Flow, Cost> >(); |
|
| 218 | 220 |
} |
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