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 |
---|