1 | /* -*- C++ -*- |
---|
2 | * lemon/lp_base.h - Part of LEMON, a generic C++ optimization library |
---|
3 | * |
---|
4 | * Copyright (C) 2005 Egervary Jeno Kombinatorikus Optimalizalasi Kutatocsoport |
---|
5 | * (Egervary Research Group on Combinatorial Optimization, EGRES). |
---|
6 | * |
---|
7 | * Permission to use, modify and distribute this software is granted |
---|
8 | * provided that this copyright notice appears in all copies. For |
---|
9 | * precise terms see the accompanying LICENSE file. |
---|
10 | * |
---|
11 | * This software is provided "AS IS" with no warranty of any kind, |
---|
12 | * express or implied, and with no claim as to its suitability for any |
---|
13 | * purpose. |
---|
14 | * |
---|
15 | */ |
---|
16 | |
---|
17 | #ifndef LEMON_LP_BASE_H |
---|
18 | #define LEMON_LP_BASE_H |
---|
19 | |
---|
20 | #include<vector> |
---|
21 | #include<map> |
---|
22 | #include<limits> |
---|
23 | #include<cmath> |
---|
24 | |
---|
25 | #include<lemon/utility.h> |
---|
26 | #include<lemon/error.h> |
---|
27 | #include<lemon/invalid.h> |
---|
28 | |
---|
29 | ///\file |
---|
30 | ///\brief The interface of the LP solver interface. |
---|
31 | ///\ingroup gen_opt_group |
---|
32 | namespace lemon { |
---|
33 | |
---|
34 | ///Internal data structure to convert floating id's to fix one's |
---|
35 | |
---|
36 | ///\todo This might be implemented to be also usable in other places. |
---|
37 | class _FixId |
---|
38 | { |
---|
39 | std::vector<int> index; |
---|
40 | std::vector<int> cross; |
---|
41 | int first_free; |
---|
42 | public: |
---|
43 | _FixId() : first_free(-1) {}; |
---|
44 | ///Convert a floating id to a fix one |
---|
45 | |
---|
46 | ///\param n is a floating id |
---|
47 | ///\return the corresponding fix id |
---|
48 | int fixId(int n) const {return cross[n];} |
---|
49 | ///Convert a fix id to a floating one |
---|
50 | |
---|
51 | ///\param n is a fix id |
---|
52 | ///\return the corresponding floating id |
---|
53 | int floatingId(int n) const { return index[n];} |
---|
54 | ///Add a new floating id. |
---|
55 | |
---|
56 | ///\param n is a floating id |
---|
57 | ///\return the fix id of the new value |
---|
58 | ///\todo Multiple additions should also be handled. |
---|
59 | int insert(int n) |
---|
60 | { |
---|
61 | if(n>=int(cross.size())) { |
---|
62 | cross.resize(n+1); |
---|
63 | if(first_free==-1) { |
---|
64 | cross[n]=index.size(); |
---|
65 | index.push_back(n); |
---|
66 | } |
---|
67 | else { |
---|
68 | cross[n]=first_free; |
---|
69 | int next=index[first_free]; |
---|
70 | index[first_free]=n; |
---|
71 | first_free=next; |
---|
72 | } |
---|
73 | return cross[n]; |
---|
74 | } |
---|
75 | ///\todo Create an own exception type. |
---|
76 | else throw LogicError(); //floatingId-s must form a continuous range; |
---|
77 | } |
---|
78 | ///Remove a fix id. |
---|
79 | |
---|
80 | ///\param n is a fix id |
---|
81 | /// |
---|
82 | void erase(int n) |
---|
83 | { |
---|
84 | int fl=index[n]; |
---|
85 | index[n]=first_free; |
---|
86 | first_free=n; |
---|
87 | for(int i=fl+1;i<int(cross.size());++i) { |
---|
88 | cross[i-1]=cross[i]; |
---|
89 | index[cross[i]]--; |
---|
90 | } |
---|
91 | cross.pop_back(); |
---|
92 | } |
---|
93 | ///An upper bound on the largest fix id. |
---|
94 | |
---|
95 | ///\todo Do we need this? |
---|
96 | /// |
---|
97 | std::size_t maxFixId() { return cross.size()-1; } |
---|
98 | |
---|
99 | }; |
---|
100 | |
---|
101 | ///Common base class for LP solvers |
---|
102 | |
---|
103 | ///\todo Much more docs |
---|
104 | ///\ingroup gen_opt_group |
---|
105 | class LpSolverBase { |
---|
106 | |
---|
107 | public: |
---|
108 | |
---|
109 | ///Possible outcomes of an LP solving procedure |
---|
110 | enum SolveExitStatus { |
---|
111 | ///This means that the problem has been successfully solved: either |
---|
112 | ///an optimal solution has been found or infeasibility/unboundedness |
---|
113 | ///has been proved. |
---|
114 | SOLVED = 0, |
---|
115 | ///Any other case (including the case when some user specified limit has been exceeded) |
---|
116 | UNSOLVED = 1 |
---|
117 | }; |
---|
118 | |
---|
119 | ///\e |
---|
120 | enum SolutionStatus { |
---|
121 | ///Feasible solution has'n been found (but may exist). |
---|
122 | |
---|
123 | ///\todo NOTFOUND might be a better name. |
---|
124 | /// |
---|
125 | UNDEFINED = 0, |
---|
126 | ///The problem has no feasible solution |
---|
127 | INFEASIBLE = 1, |
---|
128 | ///Feasible solution found |
---|
129 | FEASIBLE = 2, |
---|
130 | ///Optimal solution exists and found |
---|
131 | OPTIMAL = 3, |
---|
132 | ///The cost function is unbounded |
---|
133 | |
---|
134 | ///\todo Give a feasible solution and an infinite ray (and the |
---|
135 | ///corresponding bases) |
---|
136 | INFINITE = 4 |
---|
137 | }; |
---|
138 | |
---|
139 | ///\e The type of the investigated LP problem |
---|
140 | enum ProblemTypes { |
---|
141 | ///Primal-dual feasible |
---|
142 | PRIMAL_DUAL_FEASIBLE = 0, |
---|
143 | ///Primal feasible dual infeasible |
---|
144 | PRIMAL_FEASIBLE_DUAL_INFEASIBLE = 1, |
---|
145 | ///Primal infeasible dual feasible |
---|
146 | PRIMAL_INFEASIBLE_DUAL_FEASIBLE = 2, |
---|
147 | ///Primal-dual infeasible |
---|
148 | PRIMAL_DUAL_INFEASIBLE = 3, |
---|
149 | ///Could not determine so far |
---|
150 | UNKNOWN = 4 |
---|
151 | }; |
---|
152 | |
---|
153 | ///The floating point type used by the solver |
---|
154 | typedef double Value; |
---|
155 | ///The infinity constant |
---|
156 | static const Value INF; |
---|
157 | ///The not a number constant |
---|
158 | static const Value NaN; |
---|
159 | |
---|
160 | ///Refer to a column of the LP. |
---|
161 | |
---|
162 | ///This type is used to refer to a column of the LP. |
---|
163 | /// |
---|
164 | ///Its value remains valid and correct even after the addition or erase of |
---|
165 | ///other columns. |
---|
166 | /// |
---|
167 | ///\todo Document what can one do with a Col (INVALID, comparing, |
---|
168 | ///it is similar to Node/Edge) |
---|
169 | class Col { |
---|
170 | protected: |
---|
171 | int id; |
---|
172 | friend class LpSolverBase; |
---|
173 | public: |
---|
174 | typedef Value ExprValue; |
---|
175 | typedef True LpSolverCol; |
---|
176 | Col() {} |
---|
177 | Col(const Invalid&) : id(-1) {} |
---|
178 | bool operator<(Col c) const {return id<c.id;} |
---|
179 | bool operator==(Col c) const {return id==c.id;} |
---|
180 | bool operator!=(Col c) const {return id==c.id;} |
---|
181 | }; |
---|
182 | |
---|
183 | ///Refer to a row of the LP. |
---|
184 | |
---|
185 | ///This type is used to refer to a row of the LP. |
---|
186 | /// |
---|
187 | ///Its value remains valid and correct even after the addition or erase of |
---|
188 | ///other rows. |
---|
189 | /// |
---|
190 | ///\todo Document what can one do with a Row (INVALID, comparing, |
---|
191 | ///it is similar to Node/Edge) |
---|
192 | class Row { |
---|
193 | protected: |
---|
194 | int id; |
---|
195 | friend class LpSolverBase; |
---|
196 | public: |
---|
197 | typedef Value ExprValue; |
---|
198 | typedef True LpSolverRow; |
---|
199 | Row() {} |
---|
200 | Row(const Invalid&) : id(-1) {} |
---|
201 | |
---|
202 | bool operator<(Row c) const {return id<c.id;} |
---|
203 | bool operator==(Row c) const {return id==c.id;} |
---|
204 | bool operator!=(Row c) const {return id==c.id;} |
---|
205 | }; |
---|
206 | |
---|
207 | ///Linear expression of variables and a constant component |
---|
208 | |
---|
209 | ///This data structure strores a linear expression of the variables |
---|
210 | ///(\ref Col "Col"s) and also has a constant component. |
---|
211 | /// |
---|
212 | ///There are several ways to access and modify the contents of this |
---|
213 | ///container. |
---|
214 | ///- Its it fully compatible with \c std::map<Col,double>, so for expamle |
---|
215 | ///if \c e is an Expr and \c v and \c w are of type \ref Col, then you can |
---|
216 | ///read and modify the coefficients like |
---|
217 | ///these. |
---|
218 | ///\code |
---|
219 | ///e[v]=5; |
---|
220 | ///e[v]+=12; |
---|
221 | ///e.erase(v); |
---|
222 | ///\endcode |
---|
223 | ///or you can also iterate through its elements. |
---|
224 | ///\code |
---|
225 | ///double s=0; |
---|
226 | ///for(LpSolverBase::Expr::iterator i=e.begin();i!=e.end();++i) |
---|
227 | /// s+=i->second; |
---|
228 | ///\endcode |
---|
229 | ///(This code computes the sum of all coefficients). |
---|
230 | ///- Numbers (<tt>double</tt>'s) |
---|
231 | ///and variables (\ref Col "Col"s) directly convert to an |
---|
232 | ///\ref Expr and the usual linear operations are defined so |
---|
233 | ///\code |
---|
234 | ///v+w |
---|
235 | ///2*v-3.12*(v-w/2)+2 |
---|
236 | ///v*2.1+(3*v+(v*12+w+6)*3)/2 |
---|
237 | ///\endcode |
---|
238 | ///are valid \ref Expr "Expr"essions. |
---|
239 | ///The usual assignment operations are also defined. |
---|
240 | ///\code |
---|
241 | ///e=v+w; |
---|
242 | ///e+=2*v-3.12*(v-w/2)+2; |
---|
243 | ///e*=3.4; |
---|
244 | ///e/=5; |
---|
245 | ///\endcode |
---|
246 | ///- The constant member can be set and read by \ref constComp() |
---|
247 | ///\code |
---|
248 | ///e.constComp()=12; |
---|
249 | ///double c=e.constComp(); |
---|
250 | ///\endcode |
---|
251 | /// |
---|
252 | ///\note \ref clear() not only sets all coefficients to 0 but also |
---|
253 | ///clears the constant components. |
---|
254 | /// |
---|
255 | ///\sa Constr |
---|
256 | /// |
---|
257 | class Expr : public std::map<Col,Value> |
---|
258 | { |
---|
259 | public: |
---|
260 | typedef LpSolverBase::Col Key; |
---|
261 | typedef LpSolverBase::Value Value; |
---|
262 | |
---|
263 | protected: |
---|
264 | typedef std::map<Col,Value> Base; |
---|
265 | |
---|
266 | Value const_comp; |
---|
267 | public: |
---|
268 | typedef True IsLinExpression; |
---|
269 | ///\e |
---|
270 | Expr() : Base(), const_comp(0) { } |
---|
271 | ///\e |
---|
272 | Expr(const Key &v) : const_comp(0) { |
---|
273 | Base::insert(std::make_pair(v, 1)); |
---|
274 | } |
---|
275 | ///\e |
---|
276 | Expr(const Value &v) : const_comp(v) {} |
---|
277 | ///\e |
---|
278 | void set(const Key &v,const Value &c) { |
---|
279 | Base::insert(std::make_pair(v, c)); |
---|
280 | } |
---|
281 | ///\e |
---|
282 | Value &constComp() { return const_comp; } |
---|
283 | ///\e |
---|
284 | const Value &constComp() const { return const_comp; } |
---|
285 | |
---|
286 | ///Removes the components with zero coefficient. |
---|
287 | void simplify() { |
---|
288 | for (Base::iterator i=Base::begin(); i!=Base::end();) { |
---|
289 | Base::iterator j=i; |
---|
290 | ++j; |
---|
291 | if ((*i).second==0) Base::erase(i); |
---|
292 | j=i; |
---|
293 | } |
---|
294 | } |
---|
295 | |
---|
296 | ///Sets all coefficients and the constant component to 0. |
---|
297 | void clear() { |
---|
298 | Base::clear(); |
---|
299 | const_comp=0; |
---|
300 | } |
---|
301 | |
---|
302 | ///\e |
---|
303 | Expr &operator+=(const Expr &e) { |
---|
304 | for (Base::const_iterator j=e.begin(); j!=e.end(); ++j) |
---|
305 | (*this)[j->first]+=j->second; |
---|
306 | ///\todo it might be speeded up using "hints" |
---|
307 | const_comp+=e.const_comp; |
---|
308 | return *this; |
---|
309 | } |
---|
310 | ///\e |
---|
311 | Expr &operator-=(const Expr &e) { |
---|
312 | for (Base::const_iterator j=e.begin(); j!=e.end(); ++j) |
---|
313 | (*this)[j->first]-=j->second; |
---|
314 | const_comp-=e.const_comp; |
---|
315 | return *this; |
---|
316 | } |
---|
317 | ///\e |
---|
318 | Expr &operator*=(const Value &c) { |
---|
319 | for (Base::iterator j=Base::begin(); j!=Base::end(); ++j) |
---|
320 | j->second*=c; |
---|
321 | const_comp*=c; |
---|
322 | return *this; |
---|
323 | } |
---|
324 | ///\e |
---|
325 | Expr &operator/=(const Value &c) { |
---|
326 | for (Base::iterator j=Base::begin(); j!=Base::end(); ++j) |
---|
327 | j->second/=c; |
---|
328 | const_comp/=c; |
---|
329 | return *this; |
---|
330 | } |
---|
331 | }; |
---|
332 | |
---|
333 | ///Linear constraint |
---|
334 | |
---|
335 | ///This data stucture represents a linear constraint in the LP. |
---|
336 | ///Basically it is a linear expression with a lower or an upper bound |
---|
337 | ///(or both). These parts of the constraint can be obtained by the member |
---|
338 | ///functions \ref expr(), \ref lowerBound() and \ref upperBound(), |
---|
339 | ///respectively. |
---|
340 | ///There are two ways to construct a constraint. |
---|
341 | ///- You can set the linear expression and the bounds directly |
---|
342 | /// by the functions above. |
---|
343 | ///- The operators <tt>\<=</tt>, <tt>==</tt> and <tt>\>=</tt> |
---|
344 | /// are defined between expressions, or even between constraints whenever |
---|
345 | /// it makes sense. Therefore if \c e and \c f are linear expressions and |
---|
346 | /// \c s and \c t are numbers, then the followings are valid expressions |
---|
347 | /// and thus they can be used directly e.g. in \ref addRow() whenever |
---|
348 | /// it makes sense. |
---|
349 | /// \code |
---|
350 | /// e<=s |
---|
351 | /// e<=f |
---|
352 | /// s<=e<=t |
---|
353 | /// e>=t |
---|
354 | /// \endcode |
---|
355 | ///\warning The validity of a constraint is checked only at run time, so |
---|
356 | ///e.g. \ref addRow(<tt>x[1]\<=x[2]<=5</tt>) will compile, but will throw a |
---|
357 | ///\ref LogicError exception. |
---|
358 | class Constr |
---|
359 | { |
---|
360 | public: |
---|
361 | typedef LpSolverBase::Expr Expr; |
---|
362 | typedef Expr::Key Key; |
---|
363 | typedef Expr::Value Value; |
---|
364 | |
---|
365 | // static const Value INF; |
---|
366 | // static const Value NaN; |
---|
367 | |
---|
368 | protected: |
---|
369 | Expr _expr; |
---|
370 | Value _lb,_ub; |
---|
371 | public: |
---|
372 | ///\e |
---|
373 | Constr() : _expr(), _lb(NaN), _ub(NaN) {} |
---|
374 | ///\e |
---|
375 | Constr(Value lb,const Expr &e,Value ub) : |
---|
376 | _expr(e), _lb(lb), _ub(ub) {} |
---|
377 | ///\e |
---|
378 | Constr(const Expr &e,Value ub) : |
---|
379 | _expr(e), _lb(NaN), _ub(ub) {} |
---|
380 | ///\e |
---|
381 | Constr(Value lb,const Expr &e) : |
---|
382 | _expr(e), _lb(lb), _ub(NaN) {} |
---|
383 | ///\e |
---|
384 | Constr(const Expr &e) : |
---|
385 | _expr(e), _lb(NaN), _ub(NaN) {} |
---|
386 | ///\e |
---|
387 | void clear() |
---|
388 | { |
---|
389 | _expr.clear(); |
---|
390 | _lb=_ub=NaN; |
---|
391 | } |
---|
392 | |
---|
393 | ///Reference to the linear expression |
---|
394 | Expr &expr() { return _expr; } |
---|
395 | ///Cont reference to the linear expression |
---|
396 | const Expr &expr() const { return _expr; } |
---|
397 | ///Reference to the lower bound. |
---|
398 | |
---|
399 | ///\return |
---|
400 | ///- \ref INF "INF": the constraint is lower unbounded. |
---|
401 | ///- \ref NaN "NaN": lower bound has not been set. |
---|
402 | ///- finite number: the lower bound |
---|
403 | Value &lowerBound() { return _lb; } |
---|
404 | ///The const version of \ref lowerBound() |
---|
405 | const Value &lowerBound() const { return _lb; } |
---|
406 | ///Reference to the upper bound. |
---|
407 | |
---|
408 | ///\return |
---|
409 | ///- \ref INF "INF": the constraint is upper unbounded. |
---|
410 | ///- \ref NaN "NaN": upper bound has not been set. |
---|
411 | ///- finite number: the upper bound |
---|
412 | Value &upperBound() { return _ub; } |
---|
413 | ///The const version of \ref upperBound() |
---|
414 | const Value &upperBound() const { return _ub; } |
---|
415 | ///Is the constraint lower bounded? |
---|
416 | bool lowerBounded() const { |
---|
417 | using namespace std; |
---|
418 | return finite(_lb); |
---|
419 | } |
---|
420 | ///Is the constraint upper bounded? |
---|
421 | bool upperBounded() const { |
---|
422 | using namespace std; |
---|
423 | return finite(_ub); |
---|
424 | } |
---|
425 | }; |
---|
426 | |
---|
427 | ///Linear expression of rows |
---|
428 | |
---|
429 | ///This data structure represents a column of the matrix, |
---|
430 | ///thas is it strores a linear expression of the dual variables |
---|
431 | ///(\ref Row "Row"s). |
---|
432 | /// |
---|
433 | ///There are several ways to access and modify the contents of this |
---|
434 | ///container. |
---|
435 | ///- Its it fully compatible with \c std::map<Row,double>, so for expamle |
---|
436 | ///if \c e is an DualExpr and \c v |
---|
437 | ///and \c w are of type \ref Row, then you can |
---|
438 | ///read and modify the coefficients like |
---|
439 | ///these. |
---|
440 | ///\code |
---|
441 | ///e[v]=5; |
---|
442 | ///e[v]+=12; |
---|
443 | ///e.erase(v); |
---|
444 | ///\endcode |
---|
445 | ///or you can also iterate through its elements. |
---|
446 | ///\code |
---|
447 | ///double s=0; |
---|
448 | ///for(LpSolverBase::DualExpr::iterator i=e.begin();i!=e.end();++i) |
---|
449 | /// s+=i->second; |
---|
450 | ///\endcode |
---|
451 | ///(This code computes the sum of all coefficients). |
---|
452 | ///- Numbers (<tt>double</tt>'s) |
---|
453 | ///and variables (\ref Row "Row"s) directly convert to an |
---|
454 | ///\ref DualExpr and the usual linear operations are defined so |
---|
455 | ///\code |
---|
456 | ///v+w |
---|
457 | ///2*v-3.12*(v-w/2) |
---|
458 | ///v*2.1+(3*v+(v*12+w)*3)/2 |
---|
459 | ///\endcode |
---|
460 | ///are valid \ref DualExpr "DualExpr"essions. |
---|
461 | ///The usual assignment operations are also defined. |
---|
462 | ///\code |
---|
463 | ///e=v+w; |
---|
464 | ///e+=2*v-3.12*(v-w/2); |
---|
465 | ///e*=3.4; |
---|
466 | ///e/=5; |
---|
467 | ///\endcode |
---|
468 | /// |
---|
469 | ///\sa Expr |
---|
470 | /// |
---|
471 | class DualExpr : public std::map<Row,Value> |
---|
472 | { |
---|
473 | public: |
---|
474 | typedef LpSolverBase::Row Key; |
---|
475 | typedef LpSolverBase::Value Value; |
---|
476 | |
---|
477 | protected: |
---|
478 | typedef std::map<Row,Value> Base; |
---|
479 | |
---|
480 | public: |
---|
481 | typedef True IsLinExpression; |
---|
482 | ///\e |
---|
483 | DualExpr() : Base() { } |
---|
484 | ///\e |
---|
485 | DualExpr(const Key &v) { |
---|
486 | Base::insert(std::make_pair(v, 1)); |
---|
487 | } |
---|
488 | ///\e |
---|
489 | void set(const Key &v,const Value &c) { |
---|
490 | Base::insert(std::make_pair(v, c)); |
---|
491 | } |
---|
492 | |
---|
493 | ///Removes the components with zero coefficient. |
---|
494 | void simplify() { |
---|
495 | for (Base::iterator i=Base::begin(); i!=Base::end();) { |
---|
496 | Base::iterator j=i; |
---|
497 | ++j; |
---|
498 | if ((*i).second==0) Base::erase(i); |
---|
499 | j=i; |
---|
500 | } |
---|
501 | } |
---|
502 | |
---|
503 | ///Sets all coefficients to 0. |
---|
504 | void clear() { |
---|
505 | Base::clear(); |
---|
506 | } |
---|
507 | |
---|
508 | ///\e |
---|
509 | DualExpr &operator+=(const DualExpr &e) { |
---|
510 | for (Base::const_iterator j=e.begin(); j!=e.end(); ++j) |
---|
511 | (*this)[j->first]+=j->second; |
---|
512 | ///\todo it might be speeded up using "hints" |
---|
513 | return *this; |
---|
514 | } |
---|
515 | ///\e |
---|
516 | DualExpr &operator-=(const DualExpr &e) { |
---|
517 | for (Base::const_iterator j=e.begin(); j!=e.end(); ++j) |
---|
518 | (*this)[j->first]-=j->second; |
---|
519 | return *this; |
---|
520 | } |
---|
521 | ///\e |
---|
522 | DualExpr &operator*=(const Value &c) { |
---|
523 | for (Base::iterator j=Base::begin(); j!=Base::end(); ++j) |
---|
524 | j->second*=c; |
---|
525 | return *this; |
---|
526 | } |
---|
527 | ///\e |
---|
528 | DualExpr &operator/=(const Value &c) { |
---|
529 | for (Base::iterator j=Base::begin(); j!=Base::end(); ++j) |
---|
530 | j->second/=c; |
---|
531 | return *this; |
---|
532 | } |
---|
533 | }; |
---|
534 | |
---|
535 | |
---|
536 | protected: |
---|
537 | _FixId rows; |
---|
538 | _FixId cols; |
---|
539 | |
---|
540 | //Abstract virtual functions |
---|
541 | virtual LpSolverBase &_newLp() = 0; |
---|
542 | virtual LpSolverBase &_copyLp(){ |
---|
543 | ///\todo This should be implemented here, too, when we have problem retrieving routines. It can be overriden. |
---|
544 | |
---|
545 | //Starting: |
---|
546 | LpSolverBase & newlp(_newLp()); |
---|
547 | return newlp; |
---|
548 | //return *(LpSolverBase*)0; |
---|
549 | }; |
---|
550 | |
---|
551 | virtual int _addCol() = 0; |
---|
552 | virtual int _addRow() = 0; |
---|
553 | virtual void _eraseCol(int col) = 0; |
---|
554 | virtual void _eraseRow(int row) = 0; |
---|
555 | virtual void _setRowCoeffs(int i, |
---|
556 | int length, |
---|
557 | int const * indices, |
---|
558 | Value const * values ) = 0; |
---|
559 | virtual void _setColCoeffs(int i, |
---|
560 | int length, |
---|
561 | int const * indices, |
---|
562 | Value const * values ) = 0; |
---|
563 | virtual void _setCoeff(int row, int col, Value value) = 0; |
---|
564 | virtual void _setColLowerBound(int i, Value value) = 0; |
---|
565 | virtual void _setColUpperBound(int i, Value value) = 0; |
---|
566 | // virtual void _setRowLowerBound(int i, Value value) = 0; |
---|
567 | // virtual void _setRowUpperBound(int i, Value value) = 0; |
---|
568 | virtual void _setRowBounds(int i, Value lower, Value upper) = 0; |
---|
569 | virtual void _setObjCoeff(int i, Value obj_coef) = 0; |
---|
570 | virtual void _clearObj()=0; |
---|
571 | // virtual void _setObj(int length, |
---|
572 | // int const * indices, |
---|
573 | // Value const * values ) = 0; |
---|
574 | virtual SolveExitStatus _solve() = 0; |
---|
575 | virtual Value _getPrimal(int i) = 0; |
---|
576 | virtual Value _getPrimalValue() = 0; |
---|
577 | virtual SolutionStatus _getPrimalStatus() = 0; |
---|
578 | virtual SolutionStatus _getDualStatus() = 0; |
---|
579 | ///\todo This could be implemented here, too, using _getPrimalStatus() and |
---|
580 | ///_getDualStatus() |
---|
581 | virtual ProblemTypes _getProblemType() = 0; |
---|
582 | |
---|
583 | virtual void _setMax() = 0; |
---|
584 | virtual void _setMin() = 0; |
---|
585 | |
---|
586 | //Own protected stuff |
---|
587 | |
---|
588 | //Constant component of the objective function |
---|
589 | Value obj_const_comp; |
---|
590 | |
---|
591 | |
---|
592 | |
---|
593 | |
---|
594 | public: |
---|
595 | |
---|
596 | ///\e |
---|
597 | LpSolverBase() : obj_const_comp(0) {} |
---|
598 | |
---|
599 | ///\e |
---|
600 | virtual ~LpSolverBase() {} |
---|
601 | |
---|
602 | ///Creates a new LP problem |
---|
603 | LpSolverBase &newLp() {return _newLp();} |
---|
604 | ///Makes a copy of the LP problem |
---|
605 | LpSolverBase ©Lp() {return _copyLp();} |
---|
606 | |
---|
607 | ///\name Build up and modify the LP |
---|
608 | |
---|
609 | ///@{ |
---|
610 | |
---|
611 | ///Add a new empty column (i.e a new variable) to the LP |
---|
612 | Col addCol() { Col c; c.id=cols.insert(_addCol()); return c;} |
---|
613 | |
---|
614 | ///\brief Adds several new columns |
---|
615 | ///(i.e a variables) at once |
---|
616 | /// |
---|
617 | ///This magic function takes a container as its argument |
---|
618 | ///and fills its elements |
---|
619 | ///with new columns (i.e. variables) |
---|
620 | ///\param t can be |
---|
621 | ///- a standard STL compatible iterable container with |
---|
622 | ///\ref Col as its \c values_type |
---|
623 | ///like |
---|
624 | ///\code |
---|
625 | ///std::vector<LpSolverBase::Col> |
---|
626 | ///std::list<LpSolverBase::Col> |
---|
627 | ///\endcode |
---|
628 | ///- a standard STL compatible iterable container with |
---|
629 | ///\ref Col as its \c mapped_type |
---|
630 | ///like |
---|
631 | ///\code |
---|
632 | ///std::map<AnyType,LpSolverBase::Col> |
---|
633 | ///\endcode |
---|
634 | ///- an iterable lemon \ref concept::WriteMap "write map" like |
---|
635 | ///\code |
---|
636 | ///ListGraph::NodeMap<LpSolverBase::Col> |
---|
637 | ///ListGraph::EdgeMap<LpSolverBase::Col> |
---|
638 | ///\endcode |
---|
639 | ///\return The number of the created column. |
---|
640 | #ifdef DOXYGEN |
---|
641 | template<class T> |
---|
642 | int addColSet(T &t) { return 0;} |
---|
643 | #else |
---|
644 | template<class T> |
---|
645 | typename enable_if<typename T::value_type::LpSolverCol,int>::type |
---|
646 | addColSet(T &t,dummy<0> = 0) { |
---|
647 | int s=0; |
---|
648 | for(typename T::iterator i=t.begin();i!=t.end();++i) {*i=addCol();s++;} |
---|
649 | return s; |
---|
650 | } |
---|
651 | template<class T> |
---|
652 | typename enable_if<typename T::value_type::second_type::LpSolverCol, |
---|
653 | int>::type |
---|
654 | addColSet(T &t,dummy<1> = 1) { |
---|
655 | int s=0; |
---|
656 | for(typename T::iterator i=t.begin();i!=t.end();++i) { |
---|
657 | i->second=addCol(); |
---|
658 | s++; |
---|
659 | } |
---|
660 | return s; |
---|
661 | } |
---|
662 | template<class T> |
---|
663 | typename enable_if<typename T::ValueSet::value_type::LpSolverCol, |
---|
664 | int>::type |
---|
665 | addColSet(T &t,dummy<2> = 2) { |
---|
666 | ///\bug <tt>return addColSet(t.valueSet());</tt> should also work. |
---|
667 | int s=0; |
---|
668 | for(typename T::ValueSet::iterator i=t.valueSet().begin(); |
---|
669 | i!=t.valueSet().end(); |
---|
670 | ++i) |
---|
671 | { |
---|
672 | *i=addCol(); |
---|
673 | s++; |
---|
674 | } |
---|
675 | return s; |
---|
676 | } |
---|
677 | #endif |
---|
678 | |
---|
679 | ///Set a column (i.e a dual constraint) of the LP |
---|
680 | |
---|
681 | ///\param c is the column to be modified |
---|
682 | ///\param e is a dual linear expression (see \ref DualExpr) |
---|
683 | ///\bug This is a temporary function. The interface will change to |
---|
684 | ///a better one. |
---|
685 | void setCol(Col c,const DualExpr &e) { |
---|
686 | std::vector<int> indices; |
---|
687 | std::vector<Value> values; |
---|
688 | indices.push_back(0); |
---|
689 | values.push_back(0); |
---|
690 | for(DualExpr::const_iterator i=e.begin(); i!=e.end(); ++i) |
---|
691 | if((*i).second!=0) { ///\bug EPSILON would be necessary here!!! |
---|
692 | indices.push_back(cols.floatingId((*i).first.id)); |
---|
693 | values.push_back((*i).second); |
---|
694 | } |
---|
695 | _setColCoeffs(cols.floatingId(c.id),indices.size()-1, |
---|
696 | &indices[0],&values[0]); |
---|
697 | } |
---|
698 | |
---|
699 | ///Add a new column to the LP |
---|
700 | |
---|
701 | ///\param e is a dual linear expression (see \ref DualExpr) |
---|
702 | ///\param obj is the corresponding component of the objective |
---|
703 | ///function. It is 0 by default. |
---|
704 | ///\return The created column. |
---|
705 | ///\bug This is a temportary function. The interface will change to |
---|
706 | ///a better one. |
---|
707 | Col addCol(const DualExpr &e, Value obj=0) { |
---|
708 | Col c=addCol(); |
---|
709 | setCol(c,e); |
---|
710 | objCoeff(c,obj); |
---|
711 | return c; |
---|
712 | } |
---|
713 | |
---|
714 | ///Add a new empty row (i.e a new constraint) to the LP |
---|
715 | |
---|
716 | ///This function adds a new empty row (i.e a new constraint) to the LP. |
---|
717 | ///\return The created row |
---|
718 | Row addRow() { Row r; r.id=rows.insert(_addRow()); return r;} |
---|
719 | |
---|
720 | ///\brief Add several new rows |
---|
721 | ///(i.e a constraints) at once |
---|
722 | /// |
---|
723 | ///This magic function takes a container as its argument |
---|
724 | ///and fills its elements |
---|
725 | ///with new row (i.e. variables) |
---|
726 | ///\param t can be |
---|
727 | ///- a standard STL compatible iterable container with |
---|
728 | ///\ref Row as its \c values_type |
---|
729 | ///like |
---|
730 | ///\code |
---|
731 | ///std::vector<LpSolverBase::Row> |
---|
732 | ///std::list<LpSolverBase::Row> |
---|
733 | ///\endcode |
---|
734 | ///- a standard STL compatible iterable container with |
---|
735 | ///\ref Row as its \c mapped_type |
---|
736 | ///like |
---|
737 | ///\code |
---|
738 | ///std::map<AnyType,LpSolverBase::Row> |
---|
739 | ///\endcode |
---|
740 | ///- an iterable lemon \ref concept::WriteMap "write map" like |
---|
741 | ///\code |
---|
742 | ///ListGraph::NodeMap<LpSolverBase::Row> |
---|
743 | ///ListGraph::EdgeMap<LpSolverBase::Row> |
---|
744 | ///\endcode |
---|
745 | ///\return The number of rows created. |
---|
746 | #ifdef DOXYGEN |
---|
747 | template<class T> |
---|
748 | int addRowSet(T &t) { return 0;} |
---|
749 | #else |
---|
750 | template<class T> |
---|
751 | typename enable_if<typename T::value_type::LpSolverRow,int>::type |
---|
752 | addRowSet(T &t,dummy<0> = 0) { |
---|
753 | int s=0; |
---|
754 | for(typename T::iterator i=t.begin();i!=t.end();++i) {*i=addRow();s++;} |
---|
755 | return s; |
---|
756 | } |
---|
757 | template<class T> |
---|
758 | typename enable_if<typename T::value_type::second_type::LpSolverRow, |
---|
759 | int>::type |
---|
760 | addRowSet(T &t,dummy<1> = 1) { |
---|
761 | int s=0; |
---|
762 | for(typename T::iterator i=t.begin();i!=t.end();++i) { |
---|
763 | i->second=addRow(); |
---|
764 | s++; |
---|
765 | } |
---|
766 | return s; |
---|
767 | } |
---|
768 | template<class T> |
---|
769 | typename enable_if<typename T::ValueSet::value_type::LpSolverRow, |
---|
770 | int>::type |
---|
771 | addRowSet(T &t,dummy<2> = 2) { |
---|
772 | ///\bug <tt>return addRowSet(t.valueSet());</tt> should also work. |
---|
773 | int s=0; |
---|
774 | for(typename T::ValueSet::iterator i=t.valueSet().begin(); |
---|
775 | i!=t.valueSet().end(); |
---|
776 | ++i) |
---|
777 | { |
---|
778 | *i=addRow(); |
---|
779 | s++; |
---|
780 | } |
---|
781 | return s; |
---|
782 | } |
---|
783 | #endif |
---|
784 | |
---|
785 | ///Set a row (i.e a constraint) of the LP |
---|
786 | |
---|
787 | ///\param r is the row to be modified |
---|
788 | ///\param l is lower bound (-\ref INF means no bound) |
---|
789 | ///\param e is a linear expression (see \ref Expr) |
---|
790 | ///\param u is the upper bound (\ref INF means no bound) |
---|
791 | ///\bug This is a temportary function. The interface will change to |
---|
792 | ///a better one. |
---|
793 | ///\todo Option to control whether a constraint with a single variable is |
---|
794 | ///added or not. |
---|
795 | void setRow(Row r, Value l,const Expr &e, Value u) { |
---|
796 | std::vector<int> indices; |
---|
797 | std::vector<Value> values; |
---|
798 | indices.push_back(0); |
---|
799 | values.push_back(0); |
---|
800 | for(Expr::const_iterator i=e.begin(); i!=e.end(); ++i) |
---|
801 | if((*i).second!=0) { ///\bug EPSILON would be necessary here!!! |
---|
802 | indices.push_back(cols.floatingId((*i).first.id)); |
---|
803 | values.push_back((*i).second); |
---|
804 | } |
---|
805 | _setRowCoeffs(rows.floatingId(r.id),indices.size()-1, |
---|
806 | &indices[0],&values[0]); |
---|
807 | // _setRowLowerBound(rows.floatingId(r.id),l-e.constComp()); |
---|
808 | // _setRowUpperBound(rows.floatingId(r.id),u-e.constComp()); |
---|
809 | _setRowBounds(rows.floatingId(r.id),l-e.constComp(),u-e.constComp()); |
---|
810 | } |
---|
811 | |
---|
812 | ///Set a row (i.e a constraint) of the LP |
---|
813 | |
---|
814 | ///\param r is the row to be modified |
---|
815 | ///\param c is a linear expression (see \ref Constr) |
---|
816 | void setRow(Row r, const Constr &c) { |
---|
817 | setRow(r, |
---|
818 | c.lowerBounded()?c.lowerBound():-INF, |
---|
819 | c.expr(), |
---|
820 | c.upperBounded()?c.upperBound():INF); |
---|
821 | } |
---|
822 | |
---|
823 | ///Add a new row (i.e a new constraint) to the LP |
---|
824 | |
---|
825 | ///\param l is the lower bound (-\ref INF means no bound) |
---|
826 | ///\param e is a linear expression (see \ref Expr) |
---|
827 | ///\param u is the upper bound (\ref INF means no bound) |
---|
828 | ///\return The created row. |
---|
829 | ///\bug This is a temportary function. The interface will change to |
---|
830 | ///a better one. |
---|
831 | Row addRow(Value l,const Expr &e, Value u) { |
---|
832 | Row r=addRow(); |
---|
833 | setRow(r,l,e,u); |
---|
834 | return r; |
---|
835 | } |
---|
836 | |
---|
837 | ///Add a new row (i.e a new constraint) to the LP |
---|
838 | |
---|
839 | ///\param c is a linear expression (see \ref Constr) |
---|
840 | ///\return The created row. |
---|
841 | Row addRow(const Constr &c) { |
---|
842 | Row r=addRow(); |
---|
843 | setRow(r,c); |
---|
844 | return r; |
---|
845 | } |
---|
846 | ///Erase a coloumn (i.e a variable) from the LP |
---|
847 | |
---|
848 | ///\param c is the coloumn to be deleted |
---|
849 | ///\todo Please check this |
---|
850 | void eraseCol(Col c) { |
---|
851 | _eraseCol(cols.floatingId(c.id)); |
---|
852 | cols.erase(c.id); |
---|
853 | } |
---|
854 | ///Erase a row (i.e a constraint) from the LP |
---|
855 | |
---|
856 | ///\param r is the row to be deleted |
---|
857 | ///\todo Please check this |
---|
858 | void eraseRow(Row r) { |
---|
859 | _eraseRow(rows.floatingId(r.id)); |
---|
860 | rows.erase(r.id); |
---|
861 | } |
---|
862 | |
---|
863 | ///Set an element of the coefficient matrix of the LP |
---|
864 | |
---|
865 | ///\param r is the row of the element to be modified |
---|
866 | ///\param c is the coloumn of the element to be modified |
---|
867 | ///\param val is the new value of the coefficient |
---|
868 | void setCoeff(Row r, Col c, Value val){ |
---|
869 | _setCoeff(rows.floatingId(r.id),cols.floatingId(c.id), val); |
---|
870 | } |
---|
871 | |
---|
872 | /// Set the lower bound of a column (i.e a variable) |
---|
873 | |
---|
874 | /// The upper bound of a variable (column) has to be given by an |
---|
875 | /// extended number of type Value, i.e. a finite number of type |
---|
876 | /// Value or -\ref INF. |
---|
877 | void colLowerBound(Col c, Value value) { |
---|
878 | _setColLowerBound(cols.floatingId(c.id),value); |
---|
879 | } |
---|
880 | /// Set the upper bound of a column (i.e a variable) |
---|
881 | |
---|
882 | /// The upper bound of a variable (column) has to be given by an |
---|
883 | /// extended number of type Value, i.e. a finite number of type |
---|
884 | /// Value or \ref INF. |
---|
885 | void colUpperBound(Col c, Value value) { |
---|
886 | _setColUpperBound(cols.floatingId(c.id),value); |
---|
887 | }; |
---|
888 | /// Set the lower and the upper bounds of a column (i.e a variable) |
---|
889 | |
---|
890 | /// The lower and the upper bounds of |
---|
891 | /// a variable (column) have to be given by an |
---|
892 | /// extended number of type Value, i.e. a finite number of type |
---|
893 | /// Value, -\ref INF or \ref INF. |
---|
894 | void colBounds(Col c, Value lower, Value upper) { |
---|
895 | _setColLowerBound(cols.floatingId(c.id),lower); |
---|
896 | _setColUpperBound(cols.floatingId(c.id),upper); |
---|
897 | } |
---|
898 | |
---|
899 | // /// Set the lower bound of a row (i.e a constraint) |
---|
900 | |
---|
901 | // /// The lower bound of a linear expression (row) has to be given by an |
---|
902 | // /// extended number of type Value, i.e. a finite number of type |
---|
903 | // /// Value or -\ref INF. |
---|
904 | // void rowLowerBound(Row r, Value value) { |
---|
905 | // _setRowLowerBound(rows.floatingId(r.id),value); |
---|
906 | // }; |
---|
907 | // /// Set the upper bound of a row (i.e a constraint) |
---|
908 | |
---|
909 | // /// The upper bound of a linear expression (row) has to be given by an |
---|
910 | // /// extended number of type Value, i.e. a finite number of type |
---|
911 | // /// Value or \ref INF. |
---|
912 | // void rowUpperBound(Row r, Value value) { |
---|
913 | // _setRowUpperBound(rows.floatingId(r.id),value); |
---|
914 | // }; |
---|
915 | |
---|
916 | /// Set the lower and the upper bounds of a row (i.e a constraint) |
---|
917 | |
---|
918 | /// The lower and the upper bounds of |
---|
919 | /// a constraint (row) have to be given by an |
---|
920 | /// extended number of type Value, i.e. a finite number of type |
---|
921 | /// Value, -\ref INF or \ref INF. |
---|
922 | void rowBounds(Row c, Value lower, Value upper) { |
---|
923 | _setRowBounds(rows.floatingId(c.id),lower, upper); |
---|
924 | // _setRowUpperBound(rows.floatingId(c.id),upper); |
---|
925 | } |
---|
926 | |
---|
927 | ///Set an element of the objective function |
---|
928 | void objCoeff(Col c, Value v) {_setObjCoeff(cols.floatingId(c.id),v); }; |
---|
929 | ///Set the objective function |
---|
930 | |
---|
931 | ///\param e is a linear expression of type \ref Expr. |
---|
932 | ///\bug The previous objective function is not cleared! |
---|
933 | void setObj(Expr e) { |
---|
934 | _clearObj(); |
---|
935 | for (Expr::iterator i=e.begin(); i!=e.end(); ++i) |
---|
936 | objCoeff((*i).first,(*i).second); |
---|
937 | obj_const_comp=e.constComp(); |
---|
938 | } |
---|
939 | |
---|
940 | ///Maximize |
---|
941 | void max() { _setMax(); } |
---|
942 | ///Minimize |
---|
943 | void min() { _setMin(); } |
---|
944 | |
---|
945 | |
---|
946 | ///@} |
---|
947 | |
---|
948 | |
---|
949 | ///\name Solve the LP |
---|
950 | |
---|
951 | ///@{ |
---|
952 | |
---|
953 | ///\e Solve the LP problem at hand |
---|
954 | /// |
---|
955 | ///\return The result of the optimization procedure. Possible values and their meanings can be found in the documentation of \ref SolveExitStatus. |
---|
956 | /// |
---|
957 | ///\todo Which method is used to solve the problem |
---|
958 | SolveExitStatus solve() { return _solve(); } |
---|
959 | |
---|
960 | ///@} |
---|
961 | |
---|
962 | ///\name Obtain the solution |
---|
963 | |
---|
964 | ///@{ |
---|
965 | |
---|
966 | /// The status of the primal problem (the original LP problem) |
---|
967 | SolutionStatus primalStatus() { |
---|
968 | return _getPrimalStatus(); |
---|
969 | } |
---|
970 | |
---|
971 | /// The status of the dual (of the original LP) problem |
---|
972 | SolutionStatus dualStatus() { |
---|
973 | return _getDualStatus(); |
---|
974 | } |
---|
975 | |
---|
976 | ///The type of the original LP problem |
---|
977 | ProblemTypes problemType() { |
---|
978 | return _getProblemType(); |
---|
979 | } |
---|
980 | |
---|
981 | ///\e |
---|
982 | Value primal(Col c) { return _getPrimal(cols.floatingId(c.id)); } |
---|
983 | |
---|
984 | ///\e |
---|
985 | |
---|
986 | ///\return |
---|
987 | ///- \ref INF or -\ref INF means either infeasibility or unboundedness |
---|
988 | /// of the primal problem, depending on whether we minimize or maximize. |
---|
989 | ///- \ref NaN if no primal solution is found. |
---|
990 | ///- The (finite) objective value if an optimal solution is found. |
---|
991 | Value primalValue() { return _getPrimalValue()+obj_const_comp;} |
---|
992 | ///@} |
---|
993 | |
---|
994 | }; |
---|
995 | |
---|
996 | ///\e |
---|
997 | |
---|
998 | ///\relates LpSolverBase::Expr |
---|
999 | /// |
---|
1000 | inline LpSolverBase::Expr operator+(const LpSolverBase::Expr &a, |
---|
1001 | const LpSolverBase::Expr &b) |
---|
1002 | { |
---|
1003 | LpSolverBase::Expr tmp(a); |
---|
1004 | tmp+=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1005 | return tmp; |
---|
1006 | } |
---|
1007 | ///\e |
---|
1008 | |
---|
1009 | ///\relates LpSolverBase::Expr |
---|
1010 | /// |
---|
1011 | inline LpSolverBase::Expr operator-(const LpSolverBase::Expr &a, |
---|
1012 | const LpSolverBase::Expr &b) |
---|
1013 | { |
---|
1014 | LpSolverBase::Expr tmp(a); |
---|
1015 | tmp-=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1016 | return tmp; |
---|
1017 | } |
---|
1018 | ///\e |
---|
1019 | |
---|
1020 | ///\relates LpSolverBase::Expr |
---|
1021 | /// |
---|
1022 | inline LpSolverBase::Expr operator*(const LpSolverBase::Expr &a, |
---|
1023 | const LpSolverBase::Value &b) |
---|
1024 | { |
---|
1025 | LpSolverBase::Expr tmp(a); |
---|
1026 | tmp*=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1027 | return tmp; |
---|
1028 | } |
---|
1029 | |
---|
1030 | ///\e |
---|
1031 | |
---|
1032 | ///\relates LpSolverBase::Expr |
---|
1033 | /// |
---|
1034 | inline LpSolverBase::Expr operator*(const LpSolverBase::Value &a, |
---|
1035 | const LpSolverBase::Expr &b) |
---|
1036 | { |
---|
1037 | LpSolverBase::Expr tmp(b); |
---|
1038 | tmp*=a; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1039 | return tmp; |
---|
1040 | } |
---|
1041 | ///\e |
---|
1042 | |
---|
1043 | ///\relates LpSolverBase::Expr |
---|
1044 | /// |
---|
1045 | inline LpSolverBase::Expr operator/(const LpSolverBase::Expr &a, |
---|
1046 | const LpSolverBase::Value &b) |
---|
1047 | { |
---|
1048 | LpSolverBase::Expr tmp(a); |
---|
1049 | tmp/=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1050 | return tmp; |
---|
1051 | } |
---|
1052 | |
---|
1053 | ///\e |
---|
1054 | |
---|
1055 | ///\relates LpSolverBase::Constr |
---|
1056 | /// |
---|
1057 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Expr &e, |
---|
1058 | const LpSolverBase::Expr &f) |
---|
1059 | { |
---|
1060 | return LpSolverBase::Constr(-LpSolverBase::INF,e-f,0); |
---|
1061 | } |
---|
1062 | |
---|
1063 | ///\e |
---|
1064 | |
---|
1065 | ///\relates LpSolverBase::Constr |
---|
1066 | /// |
---|
1067 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Value &e, |
---|
1068 | const LpSolverBase::Expr &f) |
---|
1069 | { |
---|
1070 | return LpSolverBase::Constr(e,f); |
---|
1071 | } |
---|
1072 | |
---|
1073 | ///\e |
---|
1074 | |
---|
1075 | ///\relates LpSolverBase::Constr |
---|
1076 | /// |
---|
1077 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Expr &e, |
---|
1078 | const LpSolverBase::Value &f) |
---|
1079 | { |
---|
1080 | return LpSolverBase::Constr(e,f); |
---|
1081 | } |
---|
1082 | |
---|
1083 | ///\e |
---|
1084 | |
---|
1085 | ///\relates LpSolverBase::Constr |
---|
1086 | /// |
---|
1087 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Expr &e, |
---|
1088 | const LpSolverBase::Expr &f) |
---|
1089 | { |
---|
1090 | return LpSolverBase::Constr(-LpSolverBase::INF,f-e,0); |
---|
1091 | } |
---|
1092 | |
---|
1093 | |
---|
1094 | ///\e |
---|
1095 | |
---|
1096 | ///\relates LpSolverBase::Constr |
---|
1097 | /// |
---|
1098 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Value &e, |
---|
1099 | const LpSolverBase::Expr &f) |
---|
1100 | { |
---|
1101 | return LpSolverBase::Constr(f,e); |
---|
1102 | } |
---|
1103 | |
---|
1104 | |
---|
1105 | ///\e |
---|
1106 | |
---|
1107 | ///\relates LpSolverBase::Constr |
---|
1108 | /// |
---|
1109 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Expr &e, |
---|
1110 | const LpSolverBase::Value &f) |
---|
1111 | { |
---|
1112 | return LpSolverBase::Constr(f,e); |
---|
1113 | } |
---|
1114 | |
---|
1115 | ///\e |
---|
1116 | |
---|
1117 | ///\relates LpSolverBase::Constr |
---|
1118 | /// |
---|
1119 | inline LpSolverBase::Constr operator==(const LpSolverBase::Expr &e, |
---|
1120 | const LpSolverBase::Expr &f) |
---|
1121 | { |
---|
1122 | return LpSolverBase::Constr(0,e-f,0); |
---|
1123 | } |
---|
1124 | |
---|
1125 | ///\e |
---|
1126 | |
---|
1127 | ///\relates LpSolverBase::Constr |
---|
1128 | /// |
---|
1129 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Value &n, |
---|
1130 | const LpSolverBase::Constr&c) |
---|
1131 | { |
---|
1132 | LpSolverBase::Constr tmp(c); |
---|
1133 | ///\todo Create an own exception type. |
---|
1134 | if(!isnan(tmp.lowerBound())) throw LogicError(); |
---|
1135 | else tmp.lowerBound()=n; |
---|
1136 | return tmp; |
---|
1137 | } |
---|
1138 | ///\e |
---|
1139 | |
---|
1140 | ///\relates LpSolverBase::Constr |
---|
1141 | /// |
---|
1142 | inline LpSolverBase::Constr operator<=(const LpSolverBase::Constr& c, |
---|
1143 | const LpSolverBase::Value &n) |
---|
1144 | { |
---|
1145 | LpSolverBase::Constr tmp(c); |
---|
1146 | ///\todo Create an own exception type. |
---|
1147 | if(!isnan(tmp.upperBound())) throw LogicError(); |
---|
1148 | else tmp.upperBound()=n; |
---|
1149 | return tmp; |
---|
1150 | } |
---|
1151 | |
---|
1152 | ///\e |
---|
1153 | |
---|
1154 | ///\relates LpSolverBase::Constr |
---|
1155 | /// |
---|
1156 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Value &n, |
---|
1157 | const LpSolverBase::Constr&c) |
---|
1158 | { |
---|
1159 | LpSolverBase::Constr tmp(c); |
---|
1160 | ///\todo Create an own exception type. |
---|
1161 | if(!isnan(tmp.upperBound())) throw LogicError(); |
---|
1162 | else tmp.upperBound()=n; |
---|
1163 | return tmp; |
---|
1164 | } |
---|
1165 | ///\e |
---|
1166 | |
---|
1167 | ///\relates LpSolverBase::Constr |
---|
1168 | /// |
---|
1169 | inline LpSolverBase::Constr operator>=(const LpSolverBase::Constr& c, |
---|
1170 | const LpSolverBase::Value &n) |
---|
1171 | { |
---|
1172 | LpSolverBase::Constr tmp(c); |
---|
1173 | ///\todo Create an own exception type. |
---|
1174 | if(!isnan(tmp.lowerBound())) throw LogicError(); |
---|
1175 | else tmp.lowerBound()=n; |
---|
1176 | return tmp; |
---|
1177 | } |
---|
1178 | |
---|
1179 | ///\e |
---|
1180 | |
---|
1181 | ///\relates LpSolverBase::DualExpr |
---|
1182 | /// |
---|
1183 | inline LpSolverBase::DualExpr operator+(const LpSolverBase::DualExpr &a, |
---|
1184 | const LpSolverBase::DualExpr &b) |
---|
1185 | { |
---|
1186 | LpSolverBase::DualExpr tmp(a); |
---|
1187 | tmp+=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1188 | return tmp; |
---|
1189 | } |
---|
1190 | ///\e |
---|
1191 | |
---|
1192 | ///\relates LpSolverBase::DualExpr |
---|
1193 | /// |
---|
1194 | inline LpSolverBase::DualExpr operator-(const LpSolverBase::DualExpr &a, |
---|
1195 | const LpSolverBase::DualExpr &b) |
---|
1196 | { |
---|
1197 | LpSolverBase::DualExpr tmp(a); |
---|
1198 | tmp-=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1199 | return tmp; |
---|
1200 | } |
---|
1201 | ///\e |
---|
1202 | |
---|
1203 | ///\relates LpSolverBase::DualExpr |
---|
1204 | /// |
---|
1205 | inline LpSolverBase::DualExpr operator*(const LpSolverBase::DualExpr &a, |
---|
1206 | const LpSolverBase::Value &b) |
---|
1207 | { |
---|
1208 | LpSolverBase::DualExpr tmp(a); |
---|
1209 | tmp*=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1210 | return tmp; |
---|
1211 | } |
---|
1212 | |
---|
1213 | ///\e |
---|
1214 | |
---|
1215 | ///\relates LpSolverBase::DualExpr |
---|
1216 | /// |
---|
1217 | inline LpSolverBase::DualExpr operator*(const LpSolverBase::Value &a, |
---|
1218 | const LpSolverBase::DualExpr &b) |
---|
1219 | { |
---|
1220 | LpSolverBase::DualExpr tmp(b); |
---|
1221 | tmp*=a; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1222 | return tmp; |
---|
1223 | } |
---|
1224 | ///\e |
---|
1225 | |
---|
1226 | ///\relates LpSolverBase::DualExpr |
---|
1227 | /// |
---|
1228 | inline LpSolverBase::DualExpr operator/(const LpSolverBase::DualExpr &a, |
---|
1229 | const LpSolverBase::Value &b) |
---|
1230 | { |
---|
1231 | LpSolverBase::DualExpr tmp(a); |
---|
1232 | tmp/=b; ///\todo Doesn't STL have some special 'merge' algorithm? |
---|
1233 | return tmp; |
---|
1234 | } |
---|
1235 | |
---|
1236 | |
---|
1237 | } //namespace lemon |
---|
1238 | |
---|
1239 | #endif //LEMON_LP_BASE_H |
---|