| 1 | // -*- c++ -*- |
|---|
| 2 | #ifndef LEMON_LP_SOLVER_WRAPPER_H |
|---|
| 3 | #define LEMON_LP_SOLVER_WRAPPER_H |
|---|
| 4 | |
|---|
| 5 | ///\ingroup misc |
|---|
| 6 | ///\file |
|---|
| 7 | ///\brief Dijkstra algorithm. |
|---|
| 8 | |
|---|
| 9 | // #include <stdio.h> |
|---|
| 10 | #include <stdlib.h> |
|---|
| 11 | // #include <stdio> |
|---|
| 12 | //#include <stdlib> |
|---|
| 13 | extern "C" { |
|---|
| 14 | #include "glpk.h" |
|---|
| 15 | } |
|---|
| 16 | |
|---|
| 17 | #include <iostream> |
|---|
| 18 | #include <vector> |
|---|
| 19 | #include <string> |
|---|
| 20 | #include <list> |
|---|
| 21 | #include <memory> |
|---|
| 22 | #include <utility> |
|---|
| 23 | |
|---|
| 24 | //#include <sage_graph.h> |
|---|
| 25 | //#include <lemon/list_graph.h> |
|---|
| 26 | //#include <lemon/graph_wrapper.h> |
|---|
| 27 | #include <lemon/invalid.h> |
|---|
| 28 | //#include <bfs_dfs.h> |
|---|
| 29 | //#include <stp.h> |
|---|
| 30 | //#include <lemon/max_flow.h> |
|---|
| 31 | //#include <augmenting_flow.h> |
|---|
| 32 | //#include <iter_map.h> |
|---|
| 33 | |
|---|
| 34 | using std::cout; |
|---|
| 35 | using std::cin; |
|---|
| 36 | using std::endl; |
|---|
| 37 | |
|---|
| 38 | namespace lemon { |
|---|
| 39 | |
|---|
| 40 | |
|---|
| 41 | /// \addtogroup misc |
|---|
| 42 | /// @{ |
|---|
| 43 | |
|---|
| 44 | /// \brief A partitioned vector with iterable classes. |
|---|
| 45 | /// |
|---|
| 46 | /// This class implements a container in which the data is stored in an |
|---|
| 47 | /// stl vector, the range is partitioned into sets and each set is |
|---|
| 48 | /// doubly linked in a list. |
|---|
| 49 | /// That is, each class is iterable by lemon iterators, and any member of |
|---|
| 50 | /// the vector can bo moved to an other class. |
|---|
| 51 | template <typename T> |
|---|
| 52 | class IterablePartition { |
|---|
| 53 | protected: |
|---|
| 54 | struct Node { |
|---|
| 55 | T data; |
|---|
| 56 | int prev; //invalid az -1 |
|---|
| 57 | int next; |
|---|
| 58 | }; |
|---|
| 59 | std::vector<Node> nodes; |
|---|
| 60 | struct Tip { |
|---|
| 61 | int first; |
|---|
| 62 | int last; |
|---|
| 63 | }; |
|---|
| 64 | std::vector<Tip> tips; |
|---|
| 65 | public: |
|---|
| 66 | /// The classes are indexed by integers from \c 0 to \c classNum()-1. |
|---|
| 67 | int classNum() const { return tips.size(); } |
|---|
| 68 | /// This lemon style iterator iterates through a class. |
|---|
| 69 | class ClassIt; |
|---|
| 70 | /// Constructor. The number of classes is to be given which is fixed |
|---|
| 71 | /// over the life of the container. |
|---|
| 72 | /// The partition classes are indexed from 0 to class_num-1. |
|---|
| 73 | IterablePartition(int class_num) { |
|---|
| 74 | for (int i=0; i<class_num; ++i) { |
|---|
| 75 | Tip t; |
|---|
| 76 | t.first=t.last=-1; |
|---|
| 77 | tips.push_back(t); |
|---|
| 78 | } |
|---|
| 79 | } |
|---|
| 80 | protected: |
|---|
| 81 | void befuz(ClassIt it, int class_id) { |
|---|
| 82 | if (tips[class_id].first==-1) { |
|---|
| 83 | if (tips[class_id].last==-1) { |
|---|
| 84 | nodes[it.i].prev=nodes[it.i].next=-1; |
|---|
| 85 | tips[class_id].first=tips[class_id].last=it.i; |
|---|
| 86 | } |
|---|
| 87 | } else { |
|---|
| 88 | nodes[it.i].prev=tips[class_id].last; |
|---|
| 89 | nodes[it.i].next=-1; |
|---|
| 90 | nodes[tips[class_id].last].next=it.i; |
|---|
| 91 | tips[class_id].last=it.i; |
|---|
| 92 | } |
|---|
| 93 | } |
|---|
| 94 | void kifuz(ClassIt it, int class_id) { |
|---|
| 95 | if (tips[class_id].first==it.i) { |
|---|
| 96 | if (tips[class_id].last==it.i) { |
|---|
| 97 | tips[class_id].first=tips[class_id].last=-1; |
|---|
| 98 | } else { |
|---|
| 99 | tips[class_id].first=nodes[it.i].next; |
|---|
| 100 | nodes[nodes[it.i].next].prev=-1; |
|---|
| 101 | } |
|---|
| 102 | } else { |
|---|
| 103 | if (tips[class_id].last==it.i) { |
|---|
| 104 | tips[class_id].last=nodes[it.i].prev; |
|---|
| 105 | nodes[nodes[it.i].prev].next=-1; |
|---|
| 106 | } else { |
|---|
| 107 | nodes[nodes[it.i].next].prev=nodes[it.i].prev; |
|---|
| 108 | nodes[nodes[it.i].prev].next=nodes[it.i].next; |
|---|
| 109 | } |
|---|
| 110 | } |
|---|
| 111 | } |
|---|
| 112 | public: |
|---|
| 113 | /// A new element with data \c t is pushed into the vector and into class |
|---|
| 114 | /// \c class_id. |
|---|
| 115 | ClassIt push_back(const T& t, int class_id) { |
|---|
| 116 | Node n; |
|---|
| 117 | n.data=t; |
|---|
| 118 | nodes.push_back(n); |
|---|
| 119 | int i=nodes.size()-1; |
|---|
| 120 | befuz(i, class_id); |
|---|
| 121 | return i; |
|---|
| 122 | } |
|---|
| 123 | /// A member is moved to an other class. |
|---|
| 124 | void set(ClassIt it, int old_class_id, int new_class_id) { |
|---|
| 125 | kifuz(it.i, old_class_id); |
|---|
| 126 | befuz(it.i, new_class_id); |
|---|
| 127 | } |
|---|
| 128 | /// Returns the data pointed by \c it. |
|---|
| 129 | T& operator[](ClassIt it) { return nodes[it.i].data; } |
|---|
| 130 | /// Returns the data pointed by \c it. |
|---|
| 131 | const T& operator[](ClassIt it) const { return nodes[it.i].data; } |
|---|
| 132 | ///. |
|---|
| 133 | class ClassIt { |
|---|
| 134 | friend class IterablePartition; |
|---|
| 135 | protected: |
|---|
| 136 | int i; |
|---|
| 137 | public: |
|---|
| 138 | /// Default constructor. |
|---|
| 139 | ClassIt() { } |
|---|
| 140 | /// This constructor constructs an iterator which points |
|---|
| 141 | /// to the member of th container indexed by the integer _i. |
|---|
| 142 | ClassIt(const int& _i) : i(_i) { } |
|---|
| 143 | /// Invalid constructor. |
|---|
| 144 | ClassIt(const Invalid&) : i(-1) { } |
|---|
| 145 | }; |
|---|
| 146 | /// First member of class \c class_id. |
|---|
| 147 | ClassIt& first(ClassIt& it, int class_id) const { |
|---|
| 148 | it.i=tips[class_id].first; |
|---|
| 149 | return it; |
|---|
| 150 | } |
|---|
| 151 | /// Next member. |
|---|
| 152 | ClassIt& next(ClassIt& it) const { |
|---|
| 153 | it.i=nodes[it.i].next; |
|---|
| 154 | return it; |
|---|
| 155 | } |
|---|
| 156 | /// True iff the iterator is valid. |
|---|
| 157 | bool valid(const ClassIt& it) const { return it.i!=-1; } |
|---|
| 158 | }; |
|---|
| 159 | |
|---|
| 160 | /// \brief Wrappers for LP solvers |
|---|
| 161 | /// |
|---|
| 162 | /// This class implements a lemon wrapper for glpk. |
|---|
| 163 | /// Later other LP-solvers will be wrapped into lemon. |
|---|
| 164 | /// The aim of this class is to give a general surface to different |
|---|
| 165 | /// solvers, i.e. it makes possible to write algorithms using LP's, |
|---|
| 166 | /// in which the solver can be changed to an other one easily. |
|---|
| 167 | class LPSolverWrapper { |
|---|
| 168 | public: |
|---|
| 169 | |
|---|
| 170 | // class Row { |
|---|
| 171 | // protected: |
|---|
| 172 | // int i; |
|---|
| 173 | // public: |
|---|
| 174 | // Row() { } |
|---|
| 175 | // Row(const Invalid&) : i(0) { } |
|---|
| 176 | // Row(const int& _i) : i(_i) { } |
|---|
| 177 | // operator int() const { return i; } |
|---|
| 178 | // }; |
|---|
| 179 | // class RowIt : public Row { |
|---|
| 180 | // public: |
|---|
| 181 | // RowIt(const Row& row) : Row(row) { } |
|---|
| 182 | // }; |
|---|
| 183 | |
|---|
| 184 | // class Col { |
|---|
| 185 | // protected: |
|---|
| 186 | // int i; |
|---|
| 187 | // public: |
|---|
| 188 | // Col() { } |
|---|
| 189 | // Col(const Invalid&) : i(0) { } |
|---|
| 190 | // Col(const int& _i) : i(_i) { } |
|---|
| 191 | // operator int() const { return i; } |
|---|
| 192 | // }; |
|---|
| 193 | // class ColIt : public Col { |
|---|
| 194 | // ColIt(const Col& col) : Col(col) { } |
|---|
| 195 | // }; |
|---|
| 196 | |
|---|
| 197 | public: |
|---|
| 198 | ///. |
|---|
| 199 | LPX* lp; |
|---|
| 200 | ///. |
|---|
| 201 | typedef IterablePartition<int>::ClassIt RowIt; |
|---|
| 202 | ///. |
|---|
| 203 | IterablePartition<int> row_iter_map; |
|---|
| 204 | ///. |
|---|
| 205 | typedef IterablePartition<int>::ClassIt ColIt; |
|---|
| 206 | ///. |
|---|
| 207 | IterablePartition<int> col_iter_map; |
|---|
| 208 | //std::vector<int> row_id_to_lp_row_id; |
|---|
| 209 | //std::vector<int> col_id_to_lp_col_id; |
|---|
| 210 | ///. |
|---|
| 211 | const int VALID_ID; |
|---|
| 212 | ///. |
|---|
| 213 | const int INVALID_ID; |
|---|
| 214 | |
|---|
| 215 | public: |
|---|
| 216 | ///. |
|---|
| 217 | LPSolverWrapper() : lp(lpx_create_prob()), |
|---|
| 218 | row_iter_map(2), |
|---|
| 219 | col_iter_map(2), |
|---|
| 220 | //row_id_to_lp_row_id(), col_id_to_lp_col_id(), |
|---|
| 221 | VALID_ID(0), INVALID_ID(1) { |
|---|
| 222 | lpx_set_int_parm(lp, LPX_K_DUAL, 1); |
|---|
| 223 | } |
|---|
| 224 | ///. |
|---|
| 225 | ~LPSolverWrapper() { |
|---|
| 226 | lpx_delete_prob(lp); |
|---|
| 227 | } |
|---|
| 228 | ///. |
|---|
| 229 | void setMinimize() { |
|---|
| 230 | lpx_set_obj_dir(lp, LPX_MIN); |
|---|
| 231 | } |
|---|
| 232 | ///. |
|---|
| 233 | void setMaximize() { |
|---|
| 234 | lpx_set_obj_dir(lp, LPX_MAX); |
|---|
| 235 | } |
|---|
| 236 | ///. |
|---|
| 237 | ColIt addCol() { |
|---|
| 238 | int i=lpx_add_cols(lp, 1); |
|---|
| 239 | ColIt col_it; |
|---|
| 240 | col_iter_map.first(col_it, INVALID_ID); |
|---|
| 241 | if (col_iter_map.valid(col_it)) { //van hasznalhato hely |
|---|
| 242 | col_iter_map.set(col_it, INVALID_ID, VALID_ID); |
|---|
| 243 | col_iter_map[col_it]=i; |
|---|
| 244 | //col_id_to_lp_col_id[col_iter_map[col_it]]=i; |
|---|
| 245 | } else { //a cucc vegere kell inzertalni mert nincs szabad hely |
|---|
| 246 | //col_id_to_lp_col_id.push_back(i); |
|---|
| 247 | //int j=col_id_to_lp_col_id.size()-1; |
|---|
| 248 | col_it=col_iter_map.push_back(i, VALID_ID); |
|---|
| 249 | } |
|---|
| 250 | // edge_index_map.set(e, i); |
|---|
| 251 | // lpx_set_col_bnds(lp, i, LPX_DB, 0.0, 1.0); |
|---|
| 252 | // lpx_set_obj_coef(lp, i, cost[e]); |
|---|
| 253 | return col_it; |
|---|
| 254 | } |
|---|
| 255 | ///. |
|---|
| 256 | RowIt addRow() { |
|---|
| 257 | int i=lpx_add_rows(lp, 1); |
|---|
| 258 | RowIt row_it; |
|---|
| 259 | row_iter_map.first(row_it, INVALID_ID); |
|---|
| 260 | if (row_iter_map.valid(row_it)) { //van hasznalhato hely |
|---|
| 261 | row_iter_map.set(row_it, INVALID_ID, VALID_ID); |
|---|
| 262 | row_iter_map[row_it]=i; |
|---|
| 263 | } else { //a cucc vegere kell inzertalni mert nincs szabad hely |
|---|
| 264 | row_it=row_iter_map.push_back(i, VALID_ID); |
|---|
| 265 | } |
|---|
| 266 | return row_it; |
|---|
| 267 | } |
|---|
| 268 | //pair<RowIt, double>-bol kell megadni egy std range-et |
|---|
| 269 | ///. |
|---|
| 270 | template <typename Begin, typename End> |
|---|
| 271 | void setColCoeffs(const ColIt& col_it, |
|---|
| 272 | Begin begin, End end) { |
|---|
| 273 | int mem_length=1+lpx_get_num_rows(lp); |
|---|
| 274 | int* indices = new int[mem_length]; |
|---|
| 275 | double* doubles = new double[mem_length]; |
|---|
| 276 | int length=0; |
|---|
| 277 | for ( ; begin!=end; ++begin) { |
|---|
| 278 | ++length; |
|---|
| 279 | indices[length]=row_iter_map[begin->first]; |
|---|
| 280 | doubles[length]=begin->second; |
|---|
| 281 | } |
|---|
| 282 | lpx_set_mat_col(lp, col_iter_map[col_it], length, indices, doubles); |
|---|
| 283 | delete [] indices; |
|---|
| 284 | delete [] doubles; |
|---|
| 285 | } |
|---|
| 286 | //pair<ColIt, double>-bol kell megadni egy std range-et |
|---|
| 287 | ///. |
|---|
| 288 | template <typename Begin, typename End> |
|---|
| 289 | void setRowCoeffs(const RowIt& row_it, |
|---|
| 290 | Begin begin, End end) { |
|---|
| 291 | int mem_length=1+lpx_get_num_cols(lp); |
|---|
| 292 | int* indices = new int[mem_length]; |
|---|
| 293 | double* doubles = new double[mem_length]; |
|---|
| 294 | int length=0; |
|---|
| 295 | for ( ; begin!=end; ++begin) { |
|---|
| 296 | ++length; |
|---|
| 297 | indices[length]=col_iter_map[begin->first]; |
|---|
| 298 | doubles[length]=begin->second; |
|---|
| 299 | } |
|---|
| 300 | lpx_set_mat_row(lp, row_iter_map[row_it], length, indices, doubles); |
|---|
| 301 | delete [] indices; |
|---|
| 302 | delete [] doubles; |
|---|
| 303 | } |
|---|
| 304 | ///. |
|---|
| 305 | void eraseCol(const ColIt& col_it) { |
|---|
| 306 | col_iter_map.set(col_it, VALID_ID, INVALID_ID); |
|---|
| 307 | int cols[2]; |
|---|
| 308 | cols[1]=col_iter_map[col_it]; |
|---|
| 309 | lpx_del_cols(lp, 1, cols); |
|---|
| 310 | col_iter_map[col_it]=0; //glpk specifikus |
|---|
| 311 | ColIt it; |
|---|
| 312 | for (col_iter_map.first(it, VALID_ID); |
|---|
| 313 | col_iter_map.valid(it); col_iter_map.next(it)) { |
|---|
| 314 | if (col_iter_map[it]>cols[1]) --col_iter_map[it]; |
|---|
| 315 | } |
|---|
| 316 | } |
|---|
| 317 | ///. |
|---|
| 318 | void eraseRow(const RowIt& row_it) { |
|---|
| 319 | row_iter_map.set(row_it, VALID_ID, INVALID_ID); |
|---|
| 320 | int rows[2]; |
|---|
| 321 | rows[1]=row_iter_map[row_it]; |
|---|
| 322 | lpx_del_rows(lp, 1, rows); |
|---|
| 323 | row_iter_map[row_it]=0; //glpk specifikus |
|---|
| 324 | RowIt it; |
|---|
| 325 | for (row_iter_map.first(it, VALID_ID); |
|---|
| 326 | row_iter_map.valid(it); row_iter_map.next(it)) { |
|---|
| 327 | if (row_iter_map[it]>rows[1]) --row_iter_map[it]; |
|---|
| 328 | } |
|---|
| 329 | } |
|---|
| 330 | ///. |
|---|
| 331 | void setColBounds(const ColIt& col_it, int bound_type, |
|---|
| 332 | double lo, double up) { |
|---|
| 333 | lpx_set_col_bnds(lp, col_iter_map[col_it], bound_type, lo, up); |
|---|
| 334 | } |
|---|
| 335 | ///. |
|---|
| 336 | double getObjCoef(const ColIt& col_it) { |
|---|
| 337 | return lpx_get_obj_coef(lp, col_iter_map[col_it]); |
|---|
| 338 | } |
|---|
| 339 | ///. |
|---|
| 340 | void setRowBounds(const RowIt& row_it, int bound_type, |
|---|
| 341 | double lo, double up) { |
|---|
| 342 | lpx_set_row_bnds(lp, row_iter_map[row_it], bound_type, lo, up); |
|---|
| 343 | } |
|---|
| 344 | ///. |
|---|
| 345 | void setObjCoef(const ColIt& col_it, double obj_coef) { |
|---|
| 346 | lpx_set_obj_coef(lp, col_iter_map[col_it], obj_coef); |
|---|
| 347 | } |
|---|
| 348 | ///. |
|---|
| 349 | void solveSimplex() { lpx_simplex(lp); } |
|---|
| 350 | ///. |
|---|
| 351 | void solvePrimalSimplex() { lpx_simplex(lp); } |
|---|
| 352 | ///. |
|---|
| 353 | void solveDualSimplex() { lpx_simplex(lp); } |
|---|
| 354 | ///. |
|---|
| 355 | double getPrimal(const ColIt& col_it) { |
|---|
| 356 | return lpx_get_col_prim(lp, col_iter_map[col_it]); |
|---|
| 357 | } |
|---|
| 358 | ///. |
|---|
| 359 | double getObjVal() { return lpx_get_obj_val(lp); } |
|---|
| 360 | ///. |
|---|
| 361 | int rowNum() const { return lpx_get_num_rows(lp); } |
|---|
| 362 | ///. |
|---|
| 363 | int colNum() const { return lpx_get_num_cols(lp); } |
|---|
| 364 | ///. |
|---|
| 365 | int warmUp() { return lpx_warm_up(lp); } |
|---|
| 366 | ///. |
|---|
| 367 | void printWarmUpStatus(int i) { |
|---|
| 368 | switch (i) { |
|---|
| 369 | case LPX_E_OK: cout << "LPX_E_OK" << endl; break; |
|---|
| 370 | case LPX_E_EMPTY: cout << "LPX_E_EMPTY" << endl; break; |
|---|
| 371 | case LPX_E_BADB: cout << "LPX_E_BADB" << endl; break; |
|---|
| 372 | case LPX_E_SING: cout << "LPX_E_SING" << endl; break; |
|---|
| 373 | } |
|---|
| 374 | } |
|---|
| 375 | ///. |
|---|
| 376 | int getPrimalStatus() { return lpx_get_prim_stat(lp); } |
|---|
| 377 | ///. |
|---|
| 378 | void printPrimalStatus(int i) { |
|---|
| 379 | switch (i) { |
|---|
| 380 | case LPX_P_UNDEF: cout << "LPX_P_UNDEF" << endl; break; |
|---|
| 381 | case LPX_P_FEAS: cout << "LPX_P_FEAS" << endl; break; |
|---|
| 382 | case LPX_P_INFEAS: cout << "LPX_P_INFEAS" << endl; break; |
|---|
| 383 | case LPX_P_NOFEAS: cout << "LPX_P_NOFEAS" << endl; break; |
|---|
| 384 | } |
|---|
| 385 | } |
|---|
| 386 | ///. |
|---|
| 387 | int getDualStatus() { return lpx_get_dual_stat(lp); } |
|---|
| 388 | ///. |
|---|
| 389 | void printDualStatus(int i) { |
|---|
| 390 | switch (i) { |
|---|
| 391 | case LPX_D_UNDEF: cout << "LPX_D_UNDEF" << endl; break; |
|---|
| 392 | case LPX_D_FEAS: cout << "LPX_D_FEAS" << endl; break; |
|---|
| 393 | case LPX_D_INFEAS: cout << "LPX_D_INFEAS" << endl; break; |
|---|
| 394 | case LPX_D_NOFEAS: cout << "LPX_D_NOFEAS" << endl; break; |
|---|
| 395 | } |
|---|
| 396 | } |
|---|
| 397 | /// Returns the status of the slack variable assigned to row \c row_it. |
|---|
| 398 | int getRowStat(const RowIt& row_it) { |
|---|
| 399 | return lpx_get_row_stat(lp, row_iter_map[row_it]); |
|---|
| 400 | } |
|---|
| 401 | ///. |
|---|
| 402 | void printRowStatus(int i) { |
|---|
| 403 | switch (i) { |
|---|
| 404 | case LPX_BS: cout << "LPX_BS" << endl; break; |
|---|
| 405 | case LPX_NL: cout << "LPX_NL" << endl; break; |
|---|
| 406 | case LPX_NU: cout << "LPX_NU" << endl; break; |
|---|
| 407 | case LPX_NF: cout << "LPX_NF" << endl; break; |
|---|
| 408 | case LPX_NS: cout << "LPX_NS" << endl; break; |
|---|
| 409 | } |
|---|
| 410 | } |
|---|
| 411 | /// Returns the status of the variable assigned to column \c col_it. |
|---|
| 412 | int getColStat(const ColIt& col_it) { |
|---|
| 413 | return lpx_get_col_stat(lp, col_iter_map[col_it]); |
|---|
| 414 | } |
|---|
| 415 | ///. |
|---|
| 416 | void printColStatus(int i) { |
|---|
| 417 | switch (i) { |
|---|
| 418 | case LPX_BS: cout << "LPX_BS" << endl; break; |
|---|
| 419 | case LPX_NL: cout << "LPX_NL" << endl; break; |
|---|
| 420 | case LPX_NU: cout << "LPX_NU" << endl; break; |
|---|
| 421 | case LPX_NF: cout << "LPX_NF" << endl; break; |
|---|
| 422 | case LPX_NS: cout << "LPX_NS" << endl; break; |
|---|
| 423 | } |
|---|
| 424 | } |
|---|
| 425 | }; |
|---|
| 426 | |
|---|
| 427 | /// @} |
|---|
| 428 | |
|---|
| 429 | } //namespace lemon |
|---|
| 430 | |
|---|
| 431 | #endif //LEMON_LP_SOLVER_WRAPPER_H |
|---|