Scippy

SCIP

Solving Constraint Integer Programs

cons_varbound.c
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2 /* */
3 /* This file is part of the program and library */
4 /* SCIP --- Solving Constraint Integer Programs */
5 /* */
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24 
25 /**@file cons_varbound.c
26  * @ingroup DEFPLUGINS_CONS
27  * @brief Constraint handler for variable bound constraints \f$lhs \le x + c y \le rhs\f$.
28  * @author Tobias Achterberg
29  * @author Timo Berthold
30  * @author Michael Winkler
31  * @author Gerald Gamrath
32  * @author Stefan Heinz
33  *
34  * This constraint handler handles a special type of linear constraints, namely variable bound constraints.
35  * A variable bound constraint has the form
36  * \f[
37  * lhs \leq x + c y \leq rhs
38  * \f]
39  * with coefficient \f$c \in Q\f$, \f$lhs\in Q \cup \{-\infty\}\f$, \f$rhs\in Q \cup \{\infty\}\f$,
40  * and decision variables \f$x\f$ (non-binary) and \f$y\f$ (binary or integer).
41  *
42  * @note Although x must be non-binary when the constraint is created, it can happen that x is upgraded to a binary
43  * variable, e.g. due to aggregations or bound changes in presolving.
44  */
45 /*---+----1----+----2----+----3----+----4----+----5----+----6----+----7----+----8----+----9----+----0----+----1----+----2*/
46 
47 #include <ctype.h>
48 #include "blockmemshell/memory.h"
49 #include "scip/cons_linear.h"
50 #include "scip/cons_setppc.h"
51 #include "scip/cons_varbound.h"
52 #include "scip/pub_cons.h"
53 #include "scip/pub_event.h"
54 #include "scip/pub_lp.h"
55 #include "scip/pub_message.h"
56 #include "scip/pub_misc.h"
57 #include "scip/pub_misc_sort.h"
58 #include "scip/pub_var.h"
59 #include "scip/scip_conflict.h"
60 #include "scip/scip_cons.h"
61 #include "scip/scip_cut.h"
62 #include "scip/scip_event.h"
63 #include "scip/scip_general.h"
64 #include "scip/scip_lp.h"
65 #include "scip/scip_mem.h"
66 #include "scip/scip_message.h"
67 #include "scip/scip_nlp.h"
68 #include "scip/scip_numerics.h"
69 #include "scip/scip_param.h"
70 #include "scip/scip_prob.h"
71 #include "scip/scip_probing.h"
72 #include "scip/scip_sol.h"
73 #include "scip/scip_tree.h"
74 #include "scip/scip_var.h"
75 #include "scip/dbldblarith.h"
76 #include "scip/symmetry_graph.h"
78 #include <ctype.h>
79 #include <string.h>
80 
81 
82 /**@name Constraint handler properties
83  *
84  * @{
85  */
86 
87 /* constraint handler properties */
88 #define CONSHDLR_NAME "varbound"
89 #define CONSHDLR_DESC "variable bounds lhs <= x + c*y <= rhs, x non-binary, y non-continuous"
90 #define CONSHDLR_SEPAPRIORITY +900000 /**< priority of the constraint handler for separation */
91 #define CONSHDLR_ENFOPRIORITY -500000 /**< priority of the constraint handler for constraint enforcing */
92 #define CONSHDLR_CHECKPRIORITY -500000 /**< priority of the constraint handler for checking feasibility */
93 #define CONSHDLR_SEPAFREQ 0 /**< frequency for separating cuts; zero means to separate only in the root node */
94 #define CONSHDLR_PROPFREQ 1 /**< frequency for propagating domains; zero means only preprocessing propagation */
95 #define CONSHDLR_EAGERFREQ 100 /**< frequency for using all instead of only the useful constraints in separation,
96  * propagation and enforcement, -1 for no eager evaluations, 0 for first only */
97 #define CONSHDLR_MAXPREROUNDS -1 /**< maximal number of presolving rounds the constraint handler participates in (-1: no limit) */
98 #define CONSHDLR_DELAYSEPA FALSE /**< should separation method be delayed, if other separators found cuts? */
99 #define CONSHDLR_DELAYPROP FALSE /**< should propagation method be delayed, if other propagators found reductions? */
100 #define CONSHDLR_NEEDSCONS TRUE /**< should the constraint handler be skipped, if no constraints are available? */
102 #define CONSHDLR_PRESOLTIMING (SCIP_PRESOLTIMING_FAST | SCIP_PRESOLTIMING_MEDIUM)
103 #define CONSHDLR_PROP_TIMING SCIP_PROPTIMING_BEFORELP
105 #define EVENTHDLR_NAME "varbound"
106 #define EVENTHDLR_DESC "bound change event handler for variable bound constraints"
108 #define LINCONSUPGD_PRIORITY +50000 /**< priority of the constraint handler for upgrading of linear constraints */
110 /**@} */
111 
112 /**@name Default parameter values
113  *
114  * @{
115  */
116 
117 #define DEFAULT_PRESOLPAIRWISE TRUE /**< should pairwise constraint comparison be performed in presolving? */
118 #define DEFAULT_MAXLPCOEF 1e+09 /**< maximum coefficient in varbound constraint to be added as a row into LP */
119 #define DEFAULT_USEBDWIDENING TRUE /**< should bound widening be used to initialize conflict analysis? */
121 
122 #define MAXSCALEDCOEF 1000LL /**< maximal coefficient value after scaling */
124 /**@} */
125 
126 /** variable bound constraint data */
127 struct SCIP_ConsData
128 {
129  SCIP_Real vbdcoef; /**< coefficient c of bounding variable y */
130  SCIP_Real lhs; /**< left hand side of variable bound inequality */
131  SCIP_Real rhs; /**< right hand side of variable bound inequality */
132  SCIP_VAR* var; /**< variable x that has variable bound */
133  SCIP_VAR* vbdvar; /**< binary, integer or implicit integer bounding variable y */
134  SCIP_ROW* row; /**< LP row, if constraint is already stored in LP row format */
135  SCIP_NLROW* nlrow; /**< NLP row, if constraint has been added to NLP relaxation */
136  unsigned int presolved:1; /**< is the variable bound constraint already presolved? */
137  unsigned int varboundsadded:1; /**< are the globally valid variable bounds added? */
138  unsigned int changed:1; /**< was constraint changed since last aggregation round in preprocessing? */
139  unsigned int tightened:1; /**< were the vbdcoef and all sides already tightened? */
140 };
141 
142 /** constraint handler data */
143 struct SCIP_ConshdlrData
144 {
145  SCIP_EVENTHDLR* eventhdlr; /**< event handler for bound change events */
146  SCIP_Bool presolpairwise; /**< should pairwise constraint comparison be performed in presolving? */
147  SCIP_Real maxlpcoef; /**< maximum coefficient in varbound constraint to be added as a row into LP */
148  SCIP_Bool usebdwidening; /**< should bound widening be used to in conflict analysis? */
149 };
150 
151 /** Propagation rules */
152 enum Proprule
153 {
154  PROPRULE_1, /**< left hand side and bounds on y -> lower bound on x */
155  PROPRULE_2, /**< left hand side and upper bound on x -> bound on y */
156  PROPRULE_3, /**< right hand side and bounds on y -> upper bound on x */
157  PROPRULE_4 /**< right hand side and lower bound on x -> bound on y */
158 };
159 typedef enum Proprule PROPRULE;
161 
162 /**@name Local methods
163  *
164  * @{
165  */
166 
167 /** compares two varbound constraints cons1: \f$ lhs1 \le x1 + c1 y1 \le rhs1 \f$ and cons2: \f$ lhs2 \le x2 + c2 y2 \le rhs2 \f$
168  * w.r.t. the indices of the contained variables
169  *
170  * returns -1 if:
171  * - the index of x1 is smaller than the index of x2 or
172  * - x1 = x2 and the index of y1 is smaller than the index of y2 or
173  * - x1 = x2 and y1 = y2 and cons2 was recently changed, but cons1 not
174  *
175  * returns 0 if x1 = x2, y1 = y2, and the changed status of both constraints is the same
176  *
177  * and returns +1 otherwise
178  */
179 static
180 SCIP_DECL_SORTPTRCOMP(consVarboundComp)
181 {
182  SCIP_CONSDATA* consdata1;
183  SCIP_CONSDATA* consdata2;
184 
185  assert(elem1 != NULL);
186  assert(elem2 != NULL);
187 
188  consdata1 = SCIPconsGetData((SCIP_CONS*) elem1);
189  consdata2 = SCIPconsGetData((SCIP_CONS*) elem2);
190 
191  assert(consdata1 != NULL);
192  assert(consdata2 != NULL);
193 
194  /* comparison is done over 3 ordered criteria:
195  * (i) variable index of variable 1
196  * (ii) variable index of variable 2.
197  * (iii) changed status
198  */
199  if( SCIPvarGetIndex(consdata1->var) < SCIPvarGetIndex(consdata2->var)
200  || (SCIPvarGetIndex(consdata1->var) == SCIPvarGetIndex(consdata2->var)
201  && SCIPvarGetIndex(consdata1->vbdvar) < SCIPvarGetIndex(consdata2->vbdvar))
202  || (SCIPvarGetIndex(consdata1->var) == SCIPvarGetIndex(consdata2->var)
203  && SCIPvarGetIndex(consdata1->vbdvar) == SCIPvarGetIndex(consdata2->vbdvar)
204  && !consdata1->changed && consdata2->changed) )
205  return -1;
206  else if( SCIPvarGetIndex(consdata1->var) == SCIPvarGetIndex(consdata2->var)
207  && SCIPvarGetIndex(consdata1->vbdvar) == SCIPvarGetIndex(consdata2->vbdvar)
208  && (consdata1->changed == consdata2->changed) )
209  return 0;
210  else
211  return +1;
212 }
213 
214 /** creates constraint handler data for varbound constraint handler */
215 static
217  SCIP* scip, /**< SCIP data structure */
218  SCIP_CONSHDLRDATA** conshdlrdata, /**< pointer to store the constraint handler data */
219  SCIP_EVENTHDLR* eventhdlr /**< event handler */
220  )
221 {
222  assert(scip != NULL);
223  assert(conshdlrdata != NULL);
224 
225  SCIP_CALL( SCIPallocBlockMemory(scip, conshdlrdata) );
226 
227  /* set event handler for bound change events */
228  (*conshdlrdata)->eventhdlr = eventhdlr;
229 
230  return SCIP_OKAY;
231 }
232 
233 /** frees constraint handler data for varbound constraint handler */
234 static
235 void conshdlrdataFree(
236  SCIP* scip, /**< SCIP data structure */
237  SCIP_CONSHDLRDATA** conshdlrdata /**< pointer to the constraint handler data */
238  )
239 {
240  assert(scip != NULL);
241  assert(conshdlrdata != NULL);
242  assert(*conshdlrdata != NULL);
243 
244  SCIPfreeBlockMemory(scip, conshdlrdata);
245 }
246 
247 /** catches events for variables
248  *
249  * @todo if lhs or rhs is infinite, catch only changes of the bound that could lead to propagation
250  */
251 static
253  SCIP* scip, /**< SCIP data structure */
254  SCIP_CONS* cons, /**< variable bound constraint */
255  SCIP_EVENTHDLR* eventhdlr /**< event handler */
256  )
257 {
258  SCIP_CONSDATA* consdata;
259  assert(cons != NULL);
260  assert(eventhdlr != NULL);
261  consdata = SCIPconsGetData(cons);
262  assert(consdata != NULL);
263 
266 
267  return SCIP_OKAY;
268 }
269 
270 /** drops events for variables */
271 static
273  SCIP* scip, /**< SCIP data structure */
274  SCIP_CONS* cons, /**< variable bound constraint */
275  SCIP_EVENTHDLR* eventhdlr /**< event handler */
276  )
277 {
278  SCIP_CONSDATA* consdata;
279  assert(cons != NULL);
280  assert(eventhdlr != NULL);
281  consdata = SCIPconsGetData(cons);
282  assert(consdata != NULL);
283 
284  SCIP_CALL( SCIPdropVarEvent(scip, consdata->var, SCIP_EVENTTYPE_BOUNDTIGHTENED | SCIP_EVENTTYPE_VARFIXED, eventhdlr, (SCIP_EVENTDATA*)cons, -1) );
285  SCIP_CALL( SCIPdropVarEvent(scip, consdata->vbdvar, SCIP_EVENTTYPE_BOUNDTIGHTENED | SCIP_EVENTTYPE_VARFIXED, eventhdlr, (SCIP_EVENTDATA*)cons, -1) );
286 
287  return SCIP_OKAY;
288 }
289 
290 /** creates a variable bound constraint data object */
291 static
293  SCIP* scip, /**< SCIP data structure */
294  SCIP_CONSDATA** consdata, /**< pointer to store the variable bound constraint data */
295  SCIP_VAR* var, /**< variable x that has variable bound */
296  SCIP_VAR* vbdvar, /**< binary, integer or implicit integer bounding variable y */
297  SCIP_Real vbdcoef, /**< coefficient c of bounding variable y */
298  SCIP_Real lhs, /**< left hand side of variable bound inequality */
299  SCIP_Real rhs /**< right hand side of variable bound inequality */
300  )
301 {
302  assert(consdata != NULL);
303  assert(SCIPvarGetType(vbdvar) != SCIP_VARTYPE_CONTINUOUS);
304 
305  SCIP_CALL( SCIPallocBlockMemory(scip, consdata) );
306 
307  if( SCIPisInfinity(scip, rhs) )
308  rhs = SCIPinfinity(scip);
309  else if( SCIPisInfinity(scip, -rhs) )
310  rhs = -SCIPinfinity(scip);
311 
312  if( SCIPisInfinity(scip, -lhs) )
313  lhs = -SCIPinfinity(scip);
314  else if( SCIPisInfinity(scip, lhs) )
315  lhs = SCIPinfinity(scip);
316 
317  if( SCIPisGT(scip, lhs, rhs) )
318  {
319  SCIPerrorMessage("left hand side of varbound constraint greater than right hand side\n");
320  SCIPerrorMessage(" -> lhs=%g, rhs=%g\n", lhs, rhs);
321  return SCIP_INVALIDDATA;
322  }
323 
324  if( SCIPisZero(scip, vbdcoef) )
325  {
326  SCIPerrorMessage("varbound coefficient must be different to zero.\n");
327  return SCIP_INVALIDDATA;
328  }
329 
330  if( SCIPisInfinity(scip, vbdcoef) )
331  vbdcoef = SCIPinfinity(scip);
332  else if( SCIPisInfinity(scip, -vbdcoef) )
333  vbdcoef = -SCIPinfinity(scip);
334 
335  (*consdata)->var = var;
336  (*consdata)->vbdvar = vbdvar;
337  (*consdata)->vbdcoef = vbdcoef;
338  (*consdata)->lhs = lhs;
339  (*consdata)->rhs = rhs;
340  (*consdata)->row = NULL;
341  (*consdata)->nlrow = NULL;
342  (*consdata)->presolved = FALSE;
343  (*consdata)->varboundsadded = FALSE;
344  (*consdata)->changed = TRUE;
345  (*consdata)->tightened = FALSE;
346 
347  /* if we are in the transformed problem, get transformed variables, add variable bound information, and catch events */
348  if( SCIPisTransformed(scip) )
349  {
350  SCIP_CALL( SCIPgetTransformedVar(scip, (*consdata)->var, &(*consdata)->var) );
351  SCIP_CALL( SCIPgetTransformedVar(scip, (*consdata)->vbdvar, &(*consdata)->vbdvar) );
352 
353 #ifndef NDEBUG
354  assert(SCIPvarGetStatus(SCIPvarGetProbvar((*consdata)->var)) != SCIP_VARSTATUS_MULTAGGR);
355  assert(SCIPvarGetStatus(SCIPvarGetProbvar((*consdata)->vbdvar)) != SCIP_VARSTATUS_MULTAGGR);
356 #endif
357  }
358 
359  /* capture variables */
360  SCIP_CALL( SCIPcaptureVar(scip, (*consdata)->var) );
361  SCIP_CALL( SCIPcaptureVar(scip, (*consdata)->vbdvar) );
362 
363  return SCIP_OKAY;
364 }
365 
366 /** frees a variable bound constraint data */
367 static
369  SCIP* scip, /**< SCIP data structure */
370  SCIP_CONSDATA** consdata /**< pointer to the variable bound constraint */
371  )
372 {
373  assert(consdata != NULL);
374  assert(*consdata != NULL);
375 
376  /* release the row */
377  if( (*consdata)->row != NULL )
378  {
379  SCIP_CALL( SCIPreleaseRow(scip, &(*consdata)->row) );
380  }
381 
382  /* release the nlrow */
383  if( (*consdata)->nlrow != NULL )
384  {
385  SCIP_CALL( SCIPreleaseNlRow(scip, &(*consdata)->nlrow) );
386  }
387 
388  /* release variables */
389  SCIP_CALL( SCIPreleaseVar(scip, &(*consdata)->var) );
390  SCIP_CALL( SCIPreleaseVar(scip, &(*consdata)->vbdvar) );
391 
392  SCIPfreeBlockMemory(scip, consdata);
393 
394  return SCIP_OKAY;
395 }
396 
397 /** creates LP row corresponding to variable bound constraint */
398 static
400  SCIP* scip, /**< SCIP data structure */
401  SCIP_CONS* cons /**< variable bound constraint */
402  )
403 {
404  SCIP_CONSDATA* consdata;
405 
406  consdata = SCIPconsGetData(cons);
407  assert(consdata != NULL);
408  assert(consdata->row == NULL);
409 
410  SCIP_CALL( SCIPcreateEmptyRowCons(scip, &consdata->row, cons, SCIPconsGetName(cons), consdata->lhs, consdata->rhs,
412  SCIP_CALL( SCIPaddVarToRow(scip, consdata->row, consdata->var, 1.0) );
413  SCIP_CALL( SCIPaddVarToRow(scip, consdata->row, consdata->vbdvar, consdata->vbdcoef) );
414 
415  return SCIP_OKAY;
416 }
417 
418 /** adds linear relaxation of variable bound constraint to the LP */
419 static
421  SCIP* scip, /**< SCIP data structure */
422  SCIP_CONS* cons, /**< variable bound constraint */
423  SCIP_Bool* infeasible /**< pointer to store whether infeasibility was detected */
424  )
425 {
426  SCIP_CONSHDLR* conshdlr;
427  SCIP_CONSHDLRDATA* conshdlrdata;
428  SCIP_CONSDATA* consdata;
429 
430  consdata = SCIPconsGetData(cons);
431  assert(consdata != NULL);
432 
433  /* find the variable bound constraint handler */
434  conshdlr = SCIPfindConshdlr(scip, CONSHDLR_NAME);
435  if( conshdlr == NULL )
436  {
437  SCIPerrorMessage("variable bound constraint handler not found\n");
438  return SCIP_PLUGINNOTFOUND;
439  }
440 
441  conshdlrdata = SCIPconshdlrGetData(conshdlr);
442  assert(conshdlrdata != NULL);
443 
444  assert(SCIPvarGetType(consdata->vbdvar) != SCIP_VARTYPE_CONTINUOUS);
445 
446  /* check whether the coefficient is too large to put the row into the LP */
447  if( SCIPisGT(scip, REALABS(consdata->vbdcoef), conshdlrdata->maxlpcoef) )
448  return SCIP_OKAY;
449 
450  if( consdata->row == NULL )
451  {
452  SCIP_CALL( createRelaxation(scip, cons) );
453  }
454  assert(consdata->row != NULL);
455 
456  if( !SCIProwIsInLP(consdata->row) )
457  {
458  SCIPdebugMsg(scip, "adding relaxation of variable bound constraint <%s>: ", SCIPconsGetName(cons));
459  SCIPdebug( SCIP_CALL( SCIPprintRow(scip, consdata->row, NULL)) );
460  SCIP_CALL( SCIPaddRow(scip, consdata->row, FALSE, infeasible) );
461  }
462 
463  return SCIP_OKAY;
464 }
465 
466 /** adds varbound constraint as row to the NLP, if not added yet */
467 static
469  SCIP* scip, /**< SCIP data structure */
470  SCIP_CONS* cons /**< varbound constraint */
471  )
472 {
473  SCIP_CONSDATA* consdata;
474 
475  assert(SCIPisNLPConstructed(scip));
476 
477  /* skip deactivated, redundant, or local constraints (the NLP does not allow for local rows at the moment) */
478  if( !SCIPconsIsActive(cons) || !SCIPconsIsChecked(cons) || SCIPconsIsLocal(cons) )
479  return SCIP_OKAY;
480 
481  consdata = SCIPconsGetData(cons);
482  assert(consdata != NULL);
483 
484  if( consdata->nlrow == NULL )
485  {
486  SCIP_VAR* vars[2];
487  SCIP_Real coefs[2];
488 
489  assert(consdata->lhs <= consdata->rhs);
490 
491  vars[0] = consdata->var;
492  vars[1] = consdata->vbdvar;
493 
494  coefs[0] = 1.0;
495  coefs[1] = consdata->vbdcoef;
496 
497  SCIP_CALL( SCIPcreateNlRow(scip, &consdata->nlrow, SCIPconsGetName(cons),
498  0.0, 2, vars, coefs, NULL, consdata->lhs, consdata->rhs, SCIP_EXPRCURV_LINEAR) );
499 
500  assert(consdata->nlrow != NULL);
501  }
502 
503  if( !SCIPnlrowIsInNLP(consdata->nlrow) )
504  {
505  SCIP_CALL( SCIPaddNlRow(scip, consdata->nlrow) );
506  }
507 
508  return SCIP_OKAY;
509 }
510 
511 /** returns whether the given solution is feasible for the given variable bound constraint */
512 static
514  SCIP* scip, /**< SCIP data structure */
515  SCIP_CONS* cons, /**< variable bound constraint */
516  SCIP_SOL* sol, /**< solution to check, NULL for current solution */
517  SCIP_Bool checklprows /**< Do constraints represented by rows in the current LP have to be checked? */
518  )
519 {
520  SCIP_CONSDATA* consdata;
521  SCIP_Real absviol;
522  SCIP_Real relviol;
523 
524  consdata = SCIPconsGetData(cons);
525  assert(consdata != NULL);
526 
527  SCIPdebugMsg(scip, "checking variable bound constraint <%s> for feasibility of solution %p (lprows=%u)\n",
528  SCIPconsGetName(cons), (void*)sol, checklprows);
529 
530  if( checklprows || consdata->row == NULL || !SCIProwIsInLP(consdata->row) )
531  {
532  SCIP_Real sum;
533  SCIP_Real lhsrelviol;
534  SCIP_Real rhsrelviol;
535 
536  sum = SCIPgetSolVal(scip, sol, consdata->var) + consdata->vbdcoef * SCIPgetSolVal(scip, sol, consdata->vbdvar);
537 
538  /* calculate constraint violation and update it in solution */
539  absviol = MAX(consdata->lhs - sum, sum - consdata->rhs);
540  lhsrelviol = SCIPrelDiff(consdata->lhs, sum);
541  rhsrelviol = SCIPrelDiff(sum, consdata->rhs);
542  relviol = MAX(lhsrelviol, rhsrelviol);
543  if( sol != NULL )
544  SCIPupdateSolLPConsViolation(scip, sol, absviol, relviol);
545 
546  return (SCIPisInfinity(scip, -consdata->lhs) || SCIPisFeasGE(scip, sum, consdata->lhs))
547  && (SCIPisInfinity(scip, consdata->rhs) || SCIPisFeasLE(scip, sum, consdata->rhs));
548  }
549  else
550  return TRUE;
551 }
552 
553 
554 /** resolves a propagation on the given variable by supplying the variables needed for applying the corresponding
555  * propagation rule (see propagateCons()):
556  * (1) left hand side and bounds on y -> lower bound on x
557  * (2) left hand side and upper bound on x -> bound on y
558  * (3) right hand side and bounds on y -> upper bound on x
559  * (4) right hand side and lower bound on x -> bound on y
560  */
561 static
563  SCIP* scip, /**< SCIP data structure */
564  SCIP_CONS* cons, /**< constraint that inferred the bound change */
565  SCIP_VAR* infervar, /**< variable that was deduced */
566  PROPRULE proprule, /**< propagation rule that deduced the bound change */
567  SCIP_BOUNDTYPE boundtype, /**< the type of the changed bound (lower or upper bound) */
568  SCIP_BDCHGIDX* bdchgidx, /**< bound change index (time stamp of bound change), or NULL for current time */
569  SCIP_Real inferbd, /**< inference bound which needs to be explained */
570  SCIP_Bool usebdwidening /**< should bound widening be used to in conflict analysis? */
571  )
572 {
573  SCIP_CONSDATA* consdata;
574  SCIP_VAR* vbdvar;
575  SCIP_VAR* var;
576  SCIP_Real vbdcoef;
577 
578  consdata = SCIPconsGetData(cons);
579  assert(consdata != NULL);
580  assert(!SCIPisZero(scip, consdata->vbdcoef));
581 
582  var = consdata->var;
583  assert(var != NULL);
584 
585  vbdvar = consdata->vbdvar;
586  assert(vbdvar != NULL);
587 
588  vbdcoef = consdata->vbdcoef;
589  assert(!SCIPisZero(scip, vbdcoef));
590 
591  switch( proprule )
592  {
593  case PROPRULE_1:
594  /* lhs <= x + c*y: left hand side and bounds on y -> lower bound on x */
595  assert(infervar == var);
596  assert(boundtype == SCIP_BOUNDTYPE_LOWER);
597  assert(!SCIPisInfinity(scip, -consdata->lhs));
598 
599  if( usebdwidening )
600  {
601  SCIP_Real QUAD(relaxedbd);
602 
603  /* For integer variables, we can reduce the inferbound by 1 - z * eps, because this will be adjusted
604  * to the bound we need; however, we need to choose z large enough to prevent numerical troubles due to
605  * too small and too large vbdcoef values.
606  * If inferbound has a large value, adding z*eps might be lost due to fixed precision floating point
607  * arithmetics, so we explicitly check this here.
608  */
609  if( SCIPvarIsIntegral(var) && inferbd < SCIPgetHugeValue(scip) * SCIPfeastol(scip)
610  && REALABS(consdata->lhs) < SCIPgetHugeValue(scip) * SCIPfeastol(scip) )
611  {
612  SCIP_Real QUAD(tmp);
613 
614  QUAD_ASSIGN(tmp, 2.0);
615  SCIPquadprecProdQD(tmp, tmp, SCIPfeastol(scip));
616 
617  SCIPquadprecSumDD(relaxedbd, inferbd, -1.0);
618 
619  SCIPquadprecSumQQ(relaxedbd, relaxedbd, tmp);
620  SCIPquadprecSumQD(relaxedbd, -relaxedbd, consdata->lhs);
621 
622  SCIPquadprecDivQD(relaxedbd, relaxedbd, vbdcoef);
623  }
624  else
625  {
626  SCIPquadprecSumDD(relaxedbd, consdata->lhs, -inferbd);
627  SCIPquadprecDivQD(relaxedbd, relaxedbd, vbdcoef);
628  }
629 
630 #ifndef NDEBUG
631  {
632  /* check the computed relaxed lower/upper bound is a proper reason for the inference bound which has to be explained */
633  SCIP_Real QUAD(tmp);
634 
635  SCIPquadprecProdQD(tmp, relaxedbd, vbdcoef);
636  SCIPquadprecSumQD(tmp, -tmp, consdata->lhs);
637 
638  assert(SCIPisEQ(scip, inferbd, SCIPadjustedVarLb(scip, var, QUAD_TO_DBL(tmp))));
639  }
640 #endif
641  if( vbdcoef > 0.0 )
642  {
643  /* decrease the computed relaxed upper bound by an epsilon; this ensures that we get the actual
644  * inference bound due to the integrality condition of the variable bound variable
645  */
646  SCIPquadprecSumQD(relaxedbd, relaxedbd, -SCIPfeastol(scip));
647  SCIP_CALL( SCIPaddConflictRelaxedUb(scip, vbdvar, bdchgidx, QUAD_TO_DBL(relaxedbd)) );
648  }
649  else
650  {
651  /* increase the computed relaxed lower bound by an epsilon; this ensures that we get the actual inference
652  * bound due to the integrality condition of the variable bound variable
653  */
654  SCIPquadprecSumQD(relaxedbd, relaxedbd, SCIPfeastol(scip));
655  SCIP_CALL( SCIPaddConflictRelaxedLb(scip, vbdvar, bdchgidx, QUAD_TO_DBL(relaxedbd)) );
656  }
657  }
658  else
659  {
660  if( vbdcoef > 0.0 )
661  {
662  SCIP_CALL( SCIPaddConflictUb(scip, vbdvar, bdchgidx) );
663  }
664  else
665  {
666  SCIP_CALL( SCIPaddConflictLb(scip, vbdvar, bdchgidx) );
667  }
668  }
669 
670  break;
671 
672  case PROPRULE_2:
673  /* lhs <= x + c*y: left hand side and upper bound on x -> bound on y */
674  assert(infervar == vbdvar);
675  assert(SCIPvarGetType(vbdvar) != SCIP_VARTYPE_CONTINUOUS);
676  assert(!SCIPisInfinity(scip, -consdata->lhs));
677 
678  if( usebdwidening )
679  {
680  SCIP_Real QUAD(relaxedub);
681 
682  /* compute the relaxed upper bound of the variable which would be sufficient to reach one less (greater) than the
683  * inference bound
684  */
685  if( vbdcoef > 0.0 )
686  {
687  /* For integer variables, we can reduce the inferbound by 1-z*eps, because this will be adjusted
688  * to the bound we need; however, we need to choose z large enough to prevent numerical troubles due to
689  * too small and too large vbdcoef values.
690  * If inferbound has a large value, adding z*eps might be lost due to fixed precision floating point
691  * arithmetics, so we explicitly check this here.
692  */
693  if( SCIPvarIsIntegral(var) && inferbd < SCIPgetHugeValue(scip) * SCIPfeastol(scip)
694  && REALABS(consdata->rhs) < SCIPgetHugeValue(scip) * SCIPfeastol(scip) )
695  {
696  SCIP_Real QUAD(tmp);
697 
698  QUAD_ASSIGN(tmp, 2.0);
699  SCIPquadprecProdQD(tmp, tmp, SCIPfeastol(scip));
700 
701  SCIPquadprecSumDD(relaxedub, inferbd, -1.0);
702 
703  SCIPquadprecSumQQ(relaxedub, relaxedub, tmp);
704  SCIPquadprecProdQD(relaxedub, relaxedub, vbdcoef);
705 
706  SCIPquadprecSumQD(relaxedub, -relaxedub, consdata->lhs);
707  }
708  else
709  {
710  SCIPquadprecProdDD(relaxedub, inferbd, vbdcoef);
711  SCIPquadprecSumQD(relaxedub, -relaxedub, consdata->lhs);
712  }
713 
714 #ifndef NDEBUG
715  {
716  /* check the computed relaxed upper bound is a proper reason for the inference bound which has to be explained */
717  SCIP_Real QUAD(tmp);
718 
719  SCIPquadprecSumQD(tmp, -relaxedub, consdata->lhs);
720  SCIPquadprecDivQD(tmp, tmp, vbdcoef);
721 
722  assert(SCIPisEQ(scip, inferbd, SCIPadjustedVarLb(scip, vbdvar, QUAD_TO_DBL(tmp))));
723  }
724 #endif
725  }
726  else
727  {
728  /* For integer variables, we can reduce the inferbound by 1-z*eps, because this will be adjusted
729  * to the bound we need; however, we need to choose z large enough to prevent numerical troubles due to
730  * too small and too large vbdcoef values.
731  * If inferbound has a large value, adding z*eps might be lost due to fixed precision floating point
732  * arithmetics, so we explicitly check this here.
733  */
734  if( SCIPvarIsIntegral(var) && inferbd < SCIPgetHugeValue(scip) * SCIPfeastol(scip)
735  && REALABS(consdata->lhs) < SCIPgetHugeValue(scip) * SCIPfeastol(scip) )
736  {
737  SCIP_Real QUAD(tmp);
738 
739  QUAD_ASSIGN(tmp, 2.0);
740  SCIPquadprecProdQD(tmp, tmp, SCIPfeastol(scip));
741 
742  SCIPquadprecSumDD(relaxedub, inferbd, 1.0);
743 
744  SCIPquadprecSumQQ(relaxedub, relaxedub, -tmp);
745  SCIPquadprecProdQD(relaxedub, relaxedub, vbdcoef);
746 
747  SCIPquadprecSumQD(relaxedub, -relaxedub, consdata->lhs);
748  }
749  else
750  {
751  SCIPquadprecProdDD(relaxedub, inferbd, vbdcoef);
752  SCIPquadprecSumQD(relaxedub, -relaxedub, consdata->lhs);
753  }
754 
755 #ifndef NDEBUG
756  {
757  /* check the computed relaxed upper bound is a proper reason for the inference bound which has to be explained */
758  SCIP_Real QUAD(tmp);
759 
760  SCIPquadprecSumQD(tmp, -relaxedub, consdata->lhs);
761  SCIPquadprecDivQD(tmp, tmp, vbdcoef);
762 
763  assert(SCIPisEQ(scip, inferbd, SCIPadjustedVarUb(scip, vbdvar, QUAD_TO_DBL(tmp))));
764  }
765 #endif
766  }
767 
768  /* decrease the computed relaxed upper bound by an epsilon; this ensures that we get the actual inference bound due
769  * to the integrality condition of the variable bound variable
770  */
771  SCIPquadprecSumQD(relaxedub, relaxedub, -SCIPfeastol(scip));
772  SCIP_CALL( SCIPaddConflictRelaxedUb(scip, var, bdchgidx, QUAD_TO_DBL(relaxedub)) );
773  }
774  else
775  {
776  SCIP_CALL( SCIPaddConflictUb(scip, var, bdchgidx) );
777  }
778 
779  break;
780 
781  case PROPRULE_3:
782  /* x + c*y <= rhs: right hand side and bounds on y -> upper bound on x */
783  assert(infervar == var);
784  assert(boundtype == SCIP_BOUNDTYPE_UPPER);
785  assert(!SCIPisInfinity(scip, consdata->rhs));
786 
787  if( usebdwidening )
788  {
789  SCIP_Real QUAD(relaxedbd);
790 
791  /* For integer variables, we can reduce the inferbound by 1-z*eps, because this will be adjusted
792  * to the bound we need; however, we need to choose z large enough to prevent numerical troubles due to
793  * too small and too large vbdcoef values.
794  * If inferbound has a large value, adding z*eps might be lost due to fixed precision floating point
795  * arithmetics, so we explicitly check this here.
796  */
797  if( SCIPvarIsIntegral(var) && inferbd < SCIPgetHugeValue(scip) * SCIPfeastol(scip)
798  && REALABS(consdata->rhs) < SCIPgetHugeValue(scip) * SCIPfeastol(scip) )
799  {
800  SCIP_Real QUAD(tmp);
801 
802  QUAD_ASSIGN(tmp, 2.0);
803 
804  SCIPquadprecProdQD(tmp, tmp, SCIPfeastol(scip));
805  SCIPquadprecSumDD(relaxedbd, inferbd, 1.0);
806 
807  SCIPquadprecSumQQ(relaxedbd, relaxedbd, -tmp);
808  SCIPquadprecSumQD(relaxedbd, relaxedbd, -consdata->rhs);
809 
810  SCIPquadprecDivQD(relaxedbd, relaxedbd, -vbdcoef);
811  }
812  else
813  {
814  SCIPquadprecSumDD(relaxedbd, consdata->rhs, -inferbd);
815  SCIPquadprecDivQD(relaxedbd, relaxedbd, vbdcoef);
816  }
817 #ifndef NDEBUG
818  {
819  /* check the computed relaxed lower/upper bound is a proper reason for the inference bound which has to be explained */
820  SCIP_Real QUAD(tmp);
821 
822  SCIPquadprecProdQD(tmp, relaxedbd, -vbdcoef);
823  SCIPquadprecSumQD(tmp, tmp, consdata->rhs);
824 
825  assert(SCIPisEQ(scip, inferbd, SCIPadjustedVarUb(scip, var, QUAD_TO_DBL(tmp))));
826  }
827 #endif
828  if( vbdcoef > 0.0 )
829  {
830  /* increase the computed relaxed lower bound by an epsilon; this ensures that we get the actual inference bound due
831  * to the integrality condition of the variable bound variable
832  */
833  SCIPquadprecSumQD(relaxedbd, relaxedbd, SCIPfeastol(scip));
834  SCIP_CALL( SCIPaddConflictRelaxedLb(scip, vbdvar, bdchgidx, QUAD_TO_DBL(relaxedbd)) );
835  }
836  else
837  {
838  /* decrease the computed relaxed upper bound by an epsilon; this ensures that we get the actual inference bound due
839  * to the integrality condition of the variable bound variable
840  */
841  SCIPquadprecSumQD(relaxedbd, relaxedbd, -SCIPfeastol(scip));
842  SCIP_CALL( SCIPaddConflictRelaxedUb(scip, vbdvar, bdchgidx, QUAD_TO_DBL(relaxedbd)) );
843  }
844  }
845  else
846  {
847  if( vbdcoef > 0.0 )
848  {
849  SCIP_CALL( SCIPaddConflictLb(scip, vbdvar, bdchgidx) );
850  }
851  else
852  {
853  SCIP_CALL( SCIPaddConflictUb(scip, vbdvar, bdchgidx) );
854  }
855  }
856 
857  break;
858 
859  case PROPRULE_4:
860  /* x + c*y <= rhs: right hand side and lower bound on x -> bound on y */
861  assert(infervar == vbdvar);
862  assert(SCIPvarGetType(vbdvar) != SCIP_VARTYPE_CONTINUOUS);
863  assert(!SCIPisInfinity(scip, consdata->rhs));
864 
865  if( usebdwidening )
866  {
867  SCIP_Real QUAD(relaxedlb);
868 
869  /* compute the relaxed lower bound of the variable which would be sufficient to reach one greater (less) than the
870  * inference bound
871  */
872  if( vbdcoef > 0.0 )
873  {
874  /* For integer variables, we can reduce the inferbound by 1-z*eps, because this will be adjusted
875  * to the bound we need; however, we need to choose z large enough to prevent numerical troubles due to
876  * too small and too large vbdcoef values.
877  * If inferbound has a large value, adding z*eps might be lost due to fixed precision floating point
878  * arithmetics, so we explicitly check this here.
879  */
880  if( SCIPvarIsIntegral(var) && inferbd < SCIPgetHugeValue(scip) * SCIPfeastol(scip)
881  && REALABS(consdata->rhs) < SCIPgetHugeValue(scip) * SCIPfeastol(scip) )
882  {
883  SCIP_Real QUAD(tmp);
884 
885  QUAD_ASSIGN(tmp, 2.0);
886  SCIPquadprecProdQD(tmp, tmp, SCIPfeastol(scip));
887 
888  SCIPquadprecSumDD(relaxedlb, inferbd, 1.0);
889  SCIPquadprecSumQQ(relaxedlb, relaxedlb, -tmp);
890 
891  SCIPquadprecProdQD(relaxedlb, relaxedlb, vbdcoef);
892 
893  SCIPquadprecSumQD(relaxedlb, -relaxedlb, consdata->rhs);
894  }
895  else
896  {
897  SCIPquadprecProdDD(relaxedlb, inferbd, vbdcoef);
898  SCIPquadprecSumQD(relaxedlb, -relaxedlb, consdata->rhs);
899  }
900 #ifndef NDEBUG
901  {
902  /* check the computed relaxed lower bound is a proper reason for the inference bound which has to be explained */
903 
904  SCIP_Real QUAD(tmp);
905 
906  QUAD_ASSIGN(tmp, consdata->rhs);
907  SCIPquadprecSumQQ(tmp, tmp, -relaxedlb);
908  SCIPquadprecDivQD(tmp, tmp, vbdcoef);
909 
910  assert(SCIPisEQ(scip, inferbd, SCIPadjustedVarUb(scip, vbdvar, QUAD_TO_DBL(tmp))));
911  }
912 #endif
913  }
914  else
915  {
916  /* For integer variables, we can reduce the inferbound by 1-z*eps, because this will be adjusted
917  * to the bound we need; however, we need to choose z large enough to prevent numerical troubles due to
918  * too small and too large vbdcoef values.
919  * If inferbound has a large value, adding z*eps might be lost due to fixed precision floating point
920  * arithmetics, so we explicitly check this here.
921  */
922  if( SCIPvarIsIntegral(var) && inferbd < SCIPgetHugeValue(scip) * SCIPfeastol(scip)
923  && REALABS(consdata->lhs) < SCIPgetHugeValue(scip) * SCIPfeastol(scip) )
924  {
925  SCIP_Real QUAD(tmp);
926 
927  QUAD_ASSIGN(tmp, 2.0);
928  SCIPquadprecProdQD(tmp, tmp, SCIPfeastol(scip));
929 
930  SCIPquadprecSumDD(relaxedlb, inferbd, -1.0);
931  SCIPquadprecSumQQ(relaxedlb, relaxedlb, tmp);
932 
933  SCIPquadprecProdQD(relaxedlb, relaxedlb, vbdcoef);
934 
935  SCIPquadprecSumQD(relaxedlb, -relaxedlb, consdata->rhs);
936  }
937  else
938  {
939  SCIPquadprecProdDD(relaxedlb, inferbd, vbdcoef);
940  SCIPquadprecSumQD(relaxedlb, -relaxedlb, consdata->rhs);
941  }
942 
943 #ifndef NDEBUG
944  {
945  /* check the computed relaxed lower bound is a proper reason for the inference bound which has to be explained */
946 
947  SCIP_Real QUAD(tmp);
948 
949  QUAD_ASSIGN(tmp, consdata->rhs);
950  SCIPquadprecSumQQ(tmp, tmp, -relaxedlb);
951  SCIPquadprecDivQD(tmp, tmp, vbdcoef);
952 
953  assert(SCIPisEQ(scip, inferbd, SCIPadjustedVarLb(scip, vbdvar, QUAD_TO_DBL(tmp))));
954  }
955 #endif
956  }
957 
958  /* increase the computed relaxed lower bound by an epsilon; this ensures that we get the actual inference bound due
959  * to the integrality condition of the variable bound variable
960  */
961  SCIPquadprecSumQD(relaxedlb, relaxedlb, SCIPfeastol(scip));
962  SCIP_CALL( SCIPaddConflictRelaxedLb(scip, var, bdchgidx, QUAD_TO_DBL(relaxedlb)) );
963  }
964  else
965  {
966  SCIP_CALL( SCIPaddConflictLb(scip, var, bdchgidx) );
967  }
968 
969  break;
970 
971  default:
972  SCIPerrorMessage("invalid inference information %d in variable bound constraint <%s>\n", proprule, SCIPconsGetName(cons));
973  return SCIP_INVALIDDATA;
974  }
975 
976  return SCIP_OKAY;
977 }
978 
979 /** analyze infeasibility */
980 static
982  SCIP* scip, /**< SCIP data structure */
983  SCIP_CONS* cons, /**< variable bound constraint */
984  SCIP_VAR* infervar, /**< variable that was deduced */
985  SCIP_Real inferbd, /**< bound which led to infeasibility */
986  PROPRULE proprule, /**< propagation rule that deduced the bound change */
987  SCIP_BOUNDTYPE boundtype, /**< the type of the changed bound (lower or upper bound) */
988  SCIP_Bool usebdwidening /**< should bound widening be used to in conflict analysis? */
989  )
990 {
991  /* conflict analysis can only be applied in solving stage and if it is applicable */
993  return SCIP_OKAY;
994 
995  /* initialize conflict analysis, and add all variables of infeasible constraint to conflict candidate queue */
997 
998  /* add the bound which got violated */
999  if( boundtype == SCIP_BOUNDTYPE_LOWER )
1000  {
1001  if( usebdwidening )
1002  {
1003  SCIP_Real relaxedub;
1004 
1005  /* adjust lower bound */
1006  inferbd = SCIPadjustedVarLb(scip, infervar, inferbd);
1007 
1008  /* compute a relaxed upper bound which would be sufficient to be still infeasible */
1009  if( SCIPvarIsIntegral(infervar) )
1010  relaxedub = inferbd - 1.0;
1011  else
1012  {
1013  SCIP_CONSDATA* consdata;
1014  SCIP_Real abscoef;
1015 
1016  consdata = SCIPconsGetData(cons);
1017  assert(consdata != NULL);
1018 
1019  /* vbdvar can never be of non-integral type */
1020  assert(infervar == consdata->var);
1021 
1022  abscoef = REALABS(consdata->vbdcoef);
1023 
1024  /* due to resolving a the propagation and dividing by the vbdcoef we need to make sure the the relaxed bound
1025  * is big enough, therefore we multiply here with the vbdcoef
1026  *
1027  * @note it does not matter if we deceed the current local upper bound, because SCIPaddConflictRelaxedUb()
1028  * is correcting the bound afterwards
1029  */
1030  /* coverity[copy_paste_error] */
1031  relaxedub = inferbd - 2*SCIPfeastol(scip) * MAX(1, abscoef);
1032  }
1033 
1034  /* try to relax inference variable upper bound such that the infeasibility is still given */
1035  SCIP_CALL( SCIPaddConflictRelaxedUb(scip, infervar, NULL, relaxedub) );
1036 
1037  /* collect the upper bound which is reported to the conflict analysis */
1038  inferbd = SCIPgetConflictVarUb(scip, infervar);
1039 
1040  /* adjust inference bound with respect to the upper bound reported to the conflict analysis */
1041  if( SCIPvarIsIntegral(infervar) )
1042  inferbd = inferbd + 1.0;
1043  else
1044  {
1045  SCIP_CONSDATA* consdata;
1046  SCIP_Real abscoef;
1047 
1048  consdata = SCIPconsGetData(cons);
1049  assert(consdata != NULL);
1050 
1051  /* vbdvar can never be of non-integral type */
1052  assert(infervar == consdata->var);
1053 
1054  abscoef = REALABS(consdata->vbdcoef);
1055 
1056  /* due to resolving a the propagation and dividing by the vbdcoef we need to make sure the the relaxed bound
1057  * is big enough, therefore we multiply here with the vbdcoef
1058  */
1059  inferbd = inferbd + 2*SCIPfeastol(scip) * MAX(1, abscoef);
1060  }
1061  }
1062  else
1063  {
1064  SCIP_CALL( SCIPaddConflictUb(scip, infervar, NULL) );
1065  }
1066  }
1067  else
1068  {
1069  if( usebdwidening )
1070  {
1071  SCIP_Real relaxedlb;
1072 
1073  assert(boundtype == SCIP_BOUNDTYPE_UPPER);
1074 
1075  /* adjust upper bound */
1076  inferbd = SCIPadjustedVarUb(scip, infervar, inferbd);
1077 
1078  /* compute a relaxed lower bound which would be sufficient to be still infeasible */
1079  if( SCIPvarIsIntegral(infervar) )
1080  relaxedlb = inferbd + 1.0;
1081  else
1082  {
1083  SCIP_CONSDATA* consdata;
1084  SCIP_Real abscoef;
1085 
1086  consdata = SCIPconsGetData(cons);
1087  assert(consdata != NULL);
1088 
1089  /* vbdvar can never be of non-integral type */
1090  assert(infervar == consdata->var);
1091 
1092  abscoef = REALABS(consdata->vbdcoef);
1093 
1094  /* due to resolving a the propagation and dividing by the vbdcoef we need to make sure the the relaxed bound
1095  * is big enough, therefore we multiply here with the vbdcoef
1096  *
1097  * @note it does not matter if we exceed the current local lower bound, because SCIPaddConflictRelaxedLb()
1098  * is correcting the bound afterwards
1099  */
1100  /* coverity[copy_paste_error] */
1101  relaxedlb = inferbd + 2*SCIPfeastol(scip) * MAX(1, abscoef);
1102  }
1103 
1104  /* try to relax inference variable upper bound such that the infeasibility is still given */
1105  SCIP_CALL( SCIPaddConflictRelaxedLb(scip, infervar, NULL, relaxedlb) );
1106 
1107  /* collect the lower bound which is reported to the conflict analysis */
1108  inferbd = SCIPgetConflictVarLb(scip, infervar);
1109 
1110  /* adjust inference bound with respect to the lower bound reported to the conflict analysis */
1111  if( SCIPvarIsIntegral(infervar) )
1112  inferbd = inferbd - 1.0;
1113  else
1114  {
1115  SCIP_CONSDATA* consdata;
1116  SCIP_Real abscoef;
1117 
1118  consdata = SCIPconsGetData(cons);
1119  assert(consdata != NULL);
1120 
1121  /* vbdvar can never be of non-integral type */
1122  assert(infervar == consdata->var);
1123 
1124  abscoef = REALABS(consdata->vbdcoef);
1125 
1126  /* due to resolving a the propagation and dividing by the vbdcoef we need to make sure the the relaxed bound
1127  * is big enough, therefore we multiply here with the vbdcoef
1128  */
1129  inferbd = inferbd - 2*SCIPfeastol(scip) * MAX(1, abscoef);
1130  }
1131  }
1132  else
1133  {
1134  SCIP_CALL( SCIPaddConflictLb(scip, infervar, NULL) );
1135  }
1136  }
1137 
1138  /* add the reason for the violated of the bound */
1139  SCIP_CALL( resolvePropagation(scip, cons, infervar, proprule, boundtype, NULL, inferbd, usebdwidening) );
1140 
1141  /* analyze the conflict */
1142  SCIP_CALL( SCIPanalyzeConflictCons(scip, cons, NULL) );
1143 
1144  return SCIP_OKAY;
1145 }
1146 
1147 /** separates the given variable bound constraint */
1148 static
1150  SCIP* scip, /**< SCIP data structure */
1151  SCIP_CONS* cons, /**< variable bound constraint */
1152  SCIP_Bool usebdwidening, /**< should bound widening be used to in conflict analysis? */
1153  SCIP_SOL* sol, /**< primal CIP solution, NULL for current LP solution */
1154  SCIP_RESULT* result /**< pointer to store the result of the separation call */
1155  )
1156 {
1157  SCIP_CONSHDLR* conshdlr;
1158  SCIP_CONSDATA* consdata;
1159  SCIP_VAR* vbdvar;
1160  SCIP_VAR* var;
1161  SCIP_Real vbdcoef;
1162  SCIP_Real feasibility;
1163 
1164  assert(cons != NULL);
1165  assert(result != NULL);
1166 
1167  consdata = SCIPconsGetData(cons);
1168  assert(consdata != NULL);
1169 
1170  /* find the variable bound constraint handler */
1171  conshdlr = SCIPfindConshdlr(scip, CONSHDLR_NAME);
1172  if( conshdlr == NULL )
1173  {
1174  SCIPerrorMessage("variable bound constraint handler not found\n");
1175  return SCIP_PLUGINNOTFOUND;
1176  }
1177 
1178  SCIPdebugMsg(scip, "separating variable bound constraint <%s>\n", SCIPconsGetName(cons));
1179 
1180  var = consdata->var;
1181  vbdvar = consdata->vbdvar;
1182  vbdcoef = consdata->vbdcoef;
1183  assert(SCIPvarGetType(vbdvar) != SCIP_VARTYPE_CONTINUOUS);
1184 
1185  /* if x is not multiaggregated and y is fixed, propagate bounds on x */
1186  if( SCIPvarGetStatus(var) != SCIP_VARSTATUS_MULTAGGR && SCIPvarGetLbLocal(vbdvar) + 0.5 > SCIPvarGetUbLocal(vbdvar) )
1187  {
1188  assert(SCIPisFeasEQ(scip, SCIPvarGetLbLocal(vbdvar), SCIPvarGetUbLocal(vbdvar)));
1189 
1190  if( !SCIPisInfinity(scip, -consdata->lhs) )
1191  {
1192  SCIP_Real newlb;
1193  SCIP_Real QUAD(tmp);
1194  SCIP_Bool cutoff;
1195  SCIP_Bool tightened;
1196 
1197  SCIPquadprecProdDD(tmp, vbdcoef, SCIPvarGetLbLocal(vbdvar)); /*lint !e666*/
1198  SCIPquadprecSumQD(tmp, -tmp, consdata->lhs);
1199 
1200  newlb = QUAD_TO_DBL(tmp);
1201 
1202  SCIP_CALL( SCIPinferVarLbCons(scip, var, newlb, cons, (int)PROPRULE_1, TRUE,
1203  &cutoff, &tightened) );
1204 
1205  if( cutoff )
1206  {
1207  assert(SCIPisGT(scip, newlb, SCIPvarGetUbLocal(var)));
1208 
1209  /* analyze infeasibility */
1210  SCIP_CALL( analyzeConflict(scip, cons, var, newlb, PROPRULE_1, SCIP_BOUNDTYPE_LOWER, usebdwidening) );
1211  *result = SCIP_CUTOFF;
1212 
1213  return SCIP_OKAY;
1214  }
1215  else if( tightened )
1216  {
1217  *result = SCIP_REDUCEDDOM;
1218  }
1219  }
1220 
1221  if( !SCIPisInfinity(scip, consdata->rhs) )
1222  {
1223  SCIP_Real newub;
1224  SCIP_Real QUAD(tmp);
1225  SCIP_Bool cutoff;
1226  SCIP_Bool tightened;
1227 
1228  SCIPquadprecProdDD(tmp, vbdcoef, SCIPvarGetLbLocal(vbdvar)); /*lint !e666*/
1229  SCIPquadprecSumQD(tmp, -tmp, consdata->rhs);
1230 
1231  newub = QUAD_TO_DBL(tmp);
1232 
1233  SCIP_CALL( SCIPinferVarUbCons(scip, var, newub, cons, (int)PROPRULE_3, TRUE,
1234  &cutoff, &tightened) );
1235 
1236  if( cutoff )
1237  {
1238  assert(SCIPisLT(scip, newub, SCIPvarGetLbLocal(var)));
1239 
1240  /* analyze infeasibility */
1241  SCIP_CALL( analyzeConflict(scip, cons, var, newub, PROPRULE_3, SCIP_BOUNDTYPE_UPPER, usebdwidening) );
1242  *result = SCIP_CUTOFF;
1243 
1244  return SCIP_OKAY;
1245  }
1246  else if( tightened )
1247  {
1248  *result = SCIP_REDUCEDDOM;
1249  }
1250  }
1251  }
1252 
1253  /* if we already changed a bound or the coefficient is too large to put the row into the LP, stop here */
1254  if( *result == SCIP_REDUCEDDOM )
1255  return SCIP_OKAY;
1256 
1257  /* check constraint for feasibility and create row if constraint is violated */
1258  if( !checkCons(scip, cons, sol, (sol != NULL)) )
1259  {
1260  /* create LP relaxation if not yet existing */
1261  if( consdata->row == NULL )
1262  {
1263  SCIP_CALL( createRelaxation(scip, cons) );
1264  }
1265  assert(consdata->row != NULL);
1266 
1267  /* check non-LP rows for feasibility and add them as cut, if violated */
1268  if( !SCIProwIsInLP(consdata->row) )
1269  {
1270  feasibility = SCIPgetRowSolFeasibility(scip, consdata->row, sol);
1271  if( SCIPisFeasNegative(scip, feasibility) )
1272  {
1273  SCIP_Bool infeasible;
1274 
1275  SCIP_CALL( SCIPaddRow(scip, consdata->row, FALSE, &infeasible) );
1276  if ( infeasible )
1277  *result = SCIP_CUTOFF;
1278  else
1279  *result = SCIP_SEPARATED;
1280  }
1281  }
1282  }
1283 
1284  return SCIP_OKAY;
1285 }
1286 
1287 /** sets left hand side of varbound constraint */
1288 static
1290  SCIP* scip, /**< SCIP data structure */
1291  SCIP_CONS* cons, /**< linear constraint */
1292  SCIP_Real lhs /**< new left hand side */
1293  )
1294 {
1295  SCIP_CONSDATA* consdata;
1296 
1297  assert(scip != NULL);
1298  assert(cons != NULL);
1299  assert(!SCIPisInfinity(scip, lhs));
1300 
1301  /* adjust value to not be smaller than -inf */
1302  if( SCIPisInfinity(scip, -lhs) )
1303  lhs = -SCIPinfinity(scip);
1304 
1305  consdata = SCIPconsGetData(cons);
1306  assert(consdata != NULL);
1307  assert(consdata->var != NULL && consdata->vbdvar != NULL);
1308  assert(!SCIPisInfinity(scip, consdata->lhs));
1309 
1310  /* check whether the side is not changed */
1311  if( SCIPisEQ(scip, consdata->lhs, lhs) )
1312  return SCIP_OKAY;
1313 
1314  assert(consdata->row == NULL);
1315 
1316  /* ensure that rhs >= lhs is satisfied without numerical tolerance */
1317  if( SCIPisEQ(scip, lhs, consdata->rhs) )
1318  consdata->rhs = lhs;
1319 
1320  /* update the rounding locks of variables */
1321 
1322  /* the left hand side switched from -infinity to a non-infinite value -> install rounding locks */
1323  if( SCIPisInfinity(scip, -consdata->lhs) && !SCIPisInfinity(scip, -lhs) )
1324  {
1325  SCIP_CALL( SCIPlockVarCons(scip, consdata->var, cons, TRUE, FALSE) );
1326 
1327  if( consdata->vbdcoef > 0.0 )
1328  {
1329  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, TRUE, FALSE) );
1330  }
1331  else
1332  {
1333  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, FALSE, TRUE) );
1334  }
1335  }
1336  /* the left hand side switched from a non-infinite value to -infinity -> remove rounding locks */
1337  else if( !SCIPisInfinity(scip, -consdata->lhs) && SCIPisInfinity(scip, -lhs) )
1338  {
1339  SCIP_CALL( SCIPunlockVarCons(scip, consdata->var, cons, TRUE, FALSE) );
1340 
1341  if( consdata->vbdcoef > 0.0 )
1342  {
1343  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, TRUE, FALSE) );
1344  }
1345  else
1346  {
1347  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, FALSE, TRUE) );
1348  }
1349  }
1350 
1351  /* if left hand side got tighter, we want to do additional presolving on this constraint */
1352  if( SCIPisLT(scip, consdata->lhs, lhs) )
1353  {
1354  consdata->varboundsadded = FALSE;
1355  consdata->tightened = FALSE;
1356 
1357  SCIP_CALL( SCIPmarkConsPropagate(scip, cons) );
1358  }
1359 
1360  consdata->presolved = FALSE;
1361  consdata->lhs = lhs;
1362  consdata->changed = TRUE;
1363 
1364  return SCIP_OKAY;
1365 }
1366 
1367 /** sets right hand side of varbound constraint */
1368 static
1370  SCIP* scip, /**< SCIP data structure */
1371  SCIP_CONS* cons, /**< linear constraint */
1372  SCIP_Real rhs /**< new right hand side */
1373  )
1374 {
1375  SCIP_CONSDATA* consdata;
1376 
1377  assert(scip != NULL);
1378  assert(cons != NULL);
1379  assert(!SCIPisInfinity(scip, -rhs));
1380 
1381  /* adjust value to not be larger than inf */
1382  if( SCIPisInfinity(scip, rhs) )
1383  rhs = SCIPinfinity(scip);
1384 
1385  consdata = SCIPconsGetData(cons);
1386  assert(consdata != NULL);
1387  assert(consdata->var != NULL && consdata->vbdvar != NULL);
1388  assert(!SCIPisInfinity(scip, -consdata->rhs));
1389 
1390  /* check whether the side is not changed */
1391  if( SCIPisEQ(scip, consdata->rhs, rhs) )
1392  return SCIP_OKAY;
1393 
1394  assert(consdata->row == NULL);
1395 
1396  /* ensure that rhs >= lhs is satisfied without numerical tolerance */
1397  if( SCIPisEQ(scip, rhs, consdata->lhs) )
1398  consdata->lhs = rhs;
1399 
1400  /* update the locks of variables */
1401  assert(SCIPconsIsTransformed(cons));
1402 
1403  /* the right hand side switched from infinity to a non-infinite value -> install locks */
1404  if( SCIPisInfinity(scip, consdata->rhs) && !SCIPisInfinity(scip, rhs) )
1405  {
1406  SCIP_CALL( SCIPlockVarCons(scip, consdata->var, cons, FALSE, TRUE) );
1407 
1408  if( consdata->vbdcoef > 0.0 )
1409  {
1410  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, FALSE, TRUE) );
1411  }
1412  else
1413  {
1414  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, TRUE, FALSE) );
1415  }
1416  }
1417  /* the right hand side switched from a non-infinite value to infinity -> remove locks */
1418  else if( !SCIPisInfinity(scip, consdata->rhs) && SCIPisInfinity(scip, rhs) )
1419  {
1420  SCIP_CALL( SCIPunlockVarCons(scip, consdata->var, cons, FALSE, TRUE) );
1421 
1422  if( consdata->vbdcoef > 0.0 )
1423  {
1424  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, FALSE, TRUE) );
1425  }
1426  else
1427  {
1428  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, TRUE, FALSE) );
1429  }
1430  }
1431 
1432  /* if right hand side got tighter, we want to do additional presolving on this constraint */
1433  if( SCIPisGT(scip, consdata->rhs, rhs) )
1434  {
1435  consdata->varboundsadded = FALSE;
1436  consdata->tightened = FALSE;
1437 
1438  SCIP_CALL( SCIPmarkConsPropagate(scip, cons) );
1439  }
1440 
1441  consdata->presolved = FALSE;
1442  consdata->rhs = rhs;
1443  consdata->changed = TRUE;
1444 
1445  return SCIP_OKAY;
1446 }
1447 
1448 /** propagation method for variable bound constraint */
1449 static
1451  SCIP* scip, /**< SCIP data structure */
1452  SCIP_CONS* cons, /**< variable bound constraint */
1453  SCIP_Bool usebdwidening, /**< should bound widening be used to in conflict analysis? */
1454  SCIP_Bool* cutoff, /**< pointer to store whether the node can be cut off */
1455  int* nchgbds, /**< pointer to count number of bound changes */
1456  int* nchgsides, /**< pointer to count number of side changes */
1457  int* ndelconss /**< pointer to count number of deleted constraints, or NULL */
1458  )
1459 {
1460  SCIP_CONSDATA* consdata;
1461  SCIP_Real xlb;
1462  SCIP_Real xub;
1463  SCIP_Real ylb;
1464  SCIP_Real yub;
1465  SCIP_Real newlb;
1466  SCIP_Real newub;
1467  SCIP_Bool tightened;
1468  SCIP_Bool tightenedround;
1469 
1470  assert(cutoff != NULL);
1471  assert(nchgbds != NULL);
1472 
1473  consdata = SCIPconsGetData(cons);
1474  assert(consdata != NULL);
1475 
1476  SCIPdebugMsg(scip, "propagating variable bound constraint <%s>: %.15g <= <%s>[%.9g, %.9g] + %.15g<%s>[%.9g, %.9g] <= %.15g\n",
1477  SCIPconsGetName(cons), consdata->lhs, SCIPvarGetName(consdata->var), SCIPvarGetLbLocal(consdata->var),
1478  SCIPvarGetUbLocal(consdata->var), consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar),
1479  SCIPvarGetLbLocal(consdata->vbdvar), SCIPvarGetUbLocal(consdata->vbdvar), consdata->rhs);
1480 
1481  *cutoff = FALSE;
1482 
1483  /* increase age of constraint; age is reset to zero, if a conflict or a propagation was found */
1484  if( !SCIPinRepropagation(scip) )
1485  {
1486  SCIP_CALL( SCIPincConsAge(scip, cons) );
1487  }
1488 
1489  /* get current bounds of variables */
1490  xlb = SCIPvarGetLbLocal(consdata->var);
1491  xub = SCIPvarGetUbLocal(consdata->var);
1492  ylb = SCIPvarGetLbLocal(consdata->vbdvar);
1493  yub = SCIPvarGetUbLocal(consdata->vbdvar);
1494 
1495  /* it can happen that constraint is of form lhs <= x <= rhs */
1496  if( SCIPisZero(scip, consdata->vbdcoef) && SCIPisEQ(scip, consdata->lhs, consdata->rhs) )
1497  {
1498  SCIP_Bool infeasible;
1499  SCIP_Bool fixed;
1500 
1501  SCIP_CALL( SCIPfixVar(scip, consdata->var, consdata->lhs, &infeasible, &fixed) );
1502 
1503  if( infeasible )
1504  {
1505  SCIPdebugMsg(scip, "> constraint <%s> is infeasible.\n", SCIPconsGetName(cons));
1506  *cutoff = TRUE;
1507  return SCIP_OKAY;
1508  }
1509  }
1510 
1511  /* tighten bounds of variables as long as possible */
1512  do
1513  {
1514  tightenedround = FALSE;
1515 
1516  /* propagate left hand side inequality: lhs <= x + c*y */
1517  if( !SCIPisInfinity(scip, -consdata->lhs) )
1518  {
1519  assert(!(*cutoff));
1520 
1521  /* propagate bounds on x:
1522  * (1) left hand side and bounds on y -> lower bound on x
1523  */
1524  if( SCIPvarGetStatus(consdata->var) != SCIP_VARSTATUS_MULTAGGR ) /* cannot change bounds of multaggr vars */
1525  {
1526  if( consdata->vbdcoef > 0.0 )
1527  {
1528  if( !SCIPisInfinity(scip, yub) )
1529  {
1530  SCIP_Real QUAD(tmp);
1531 
1532  SCIPquadprecProdDD(tmp, consdata->vbdcoef, yub);
1533  SCIPquadprecSumQD(tmp, -tmp, consdata->lhs);
1534 
1535  newlb = SCIPadjustedVarLb(scip, consdata->var, QUAD_TO_DBL(tmp));
1536  }
1537  else
1538  {
1539  newlb = -SCIPinfinity(scip);
1540  }
1541  }
1542  else
1543  {
1544  if( !SCIPisInfinity(scip, -ylb) )
1545  {
1546  SCIP_Real QUAD(tmp);
1547 
1548  SCIPquadprecProdDD(tmp, consdata->vbdcoef, ylb);
1549  SCIPquadprecSumQD(tmp, -tmp, consdata->lhs);
1550 
1551  newlb = SCIPadjustedVarLb(scip, consdata->var, QUAD_TO_DBL(tmp));
1552  }
1553  else
1554  {
1555  newlb = -SCIPinfinity(scip);
1556  }
1557  }
1558 
1559  SCIP_CALL( SCIPinferVarLbCons(scip, consdata->var, newlb, cons, (int)PROPRULE_1, yub < ylb + 0.5, cutoff, &tightened) );
1560 
1561  if( *cutoff )
1562  {
1563  SCIPdebugMsg(scip, "cutoff while tightening <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->var), xlb, xub, newlb, xub);
1564  assert( SCIPisInfinity(scip, newlb) || SCIPisGT(scip, newlb, SCIPvarGetUbLocal(consdata->var)) );
1565 
1566  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1567 
1568  /* analyze infeasibility */
1569  SCIP_CALL( analyzeConflict(scip, cons, consdata->var, newlb, PROPRULE_1, SCIP_BOUNDTYPE_LOWER, usebdwidening) );
1570  break;
1571  }
1572 
1573  if( tightened )
1574  {
1575  SCIPdebugMsg(scip, " -> tighten <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->var), xlb, xub, newlb, xub);
1576  tightenedround = TRUE;
1577  (*nchgbds)++;
1578  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1579  }
1580  xlb = SCIPvarGetLbLocal(consdata->var);
1581  }
1582 
1583  assert(!*cutoff);
1584 
1585  /* propagate bounds on y:
1586  * (2) left hand side and upper bound on x -> bound on y
1587  */
1588  if( SCIPvarGetStatus(consdata->vbdvar) != SCIP_VARSTATUS_MULTAGGR && !SCIPisInfinity(scip, xub) ) /* cannot change bounds of multaggr vars */
1589  {
1590  if( consdata->vbdcoef > 0.0 )
1591  {
1592  SCIP_Real QUAD(tmp);
1593 
1594  SCIPquadprecSumDD(tmp, consdata->lhs, -xub);
1595  SCIPquadprecDivQD(tmp, tmp, consdata->vbdcoef);
1596 
1597  newlb = SCIPadjustedVarLb(scip, consdata->vbdvar, QUAD_TO_DBL(tmp));
1598  if( newlb > ylb + 0.5 )
1599  {
1600  SCIP_CALL( SCIPinferVarLbCons(scip, consdata->vbdvar, newlb, cons, (int)PROPRULE_2, FALSE, cutoff, &tightened) );
1601 
1602  if( *cutoff )
1603  {
1604  SCIPdebugMsg(scip, "cutoff while tightening <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, newlb, yub);
1605  assert( SCIPisInfinity(scip, newlb) || SCIPisGT(scip, newlb, SCIPvarGetUbLocal(consdata->vbdvar)) );
1606 
1607  /* analyze infeasibility */
1608  SCIP_CALL( analyzeConflict(scip, cons, consdata->vbdvar, newlb, PROPRULE_2, SCIP_BOUNDTYPE_LOWER, usebdwidening) );
1609  break;
1610  }
1611 
1612  if( tightened )
1613  {
1614  SCIPdebugMsg(scip, " -> tighten <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, newlb, yub);
1615  tightenedround = TRUE;
1616  (*nchgbds)++;
1617  }
1618  ylb = SCIPvarGetLbLocal(consdata->vbdvar);
1619  }
1620  }
1621  else
1622  {
1623  SCIP_Real QUAD(tmp);
1624 
1625  SCIPquadprecSumDD(tmp, consdata->lhs, -xub);
1626  SCIPquadprecDivQD(tmp, tmp, consdata->vbdcoef);
1627 
1628  newub = SCIPadjustedVarUb(scip, consdata->vbdvar, QUAD_TO_DBL(tmp));
1629 
1630  if( newub < yub - 0.5 )
1631  {
1632  SCIP_CALL( SCIPinferVarUbCons(scip, consdata->vbdvar, newub, cons, (int)PROPRULE_2, FALSE, cutoff, &tightened) );
1633 
1634  if( *cutoff )
1635  {
1636  SCIPdebugMsg(scip, "cutoff while tightening <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, ylb, newub);
1637  assert( SCIPisInfinity(scip, -newub) || SCIPisLT(scip, newub, SCIPvarGetLbLocal(consdata->vbdvar)) );
1638 
1639  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1640 
1641  /* analyze infeasibility */
1642  SCIP_CALL( analyzeConflict(scip, cons, consdata->vbdvar, newub, PROPRULE_2, SCIP_BOUNDTYPE_UPPER, usebdwidening) );
1643  break;
1644  }
1645 
1646  if( tightened )
1647  {
1648  SCIPdebugMsg(scip, " -> tighten <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, ylb, newub);
1649  tightenedround = TRUE;
1650  (*nchgbds)++;
1651  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1652  }
1653  yub = SCIPvarGetUbLocal(consdata->vbdvar);
1654  }
1655  }
1656  }
1657  }
1658 
1659  assert(!*cutoff);
1660 
1661  /* propagate right hand side inequality: x + c*y <= rhs */
1662  if( !SCIPisInfinity(scip, consdata->rhs) )
1663  {
1664  /* propagate bounds on x:
1665  * (3) right hand side and bounds on y -> upper bound on x
1666  */
1667  if( SCIPvarGetStatus(consdata->var) != SCIP_VARSTATUS_MULTAGGR ) /* cannot change bounds of multaggr vars */
1668  {
1669  if( consdata->vbdcoef > 0.0 )
1670  {
1671  if( !SCIPisInfinity(scip, -ylb) )
1672  {
1673  SCIP_Real QUAD(tmp);
1674 
1675  SCIPquadprecProdDD(tmp, consdata->vbdcoef, ylb);
1676  SCIPquadprecSumQD(tmp, -tmp, consdata->rhs);
1677 
1678  newub = SCIPadjustedVarUb(scip, consdata->var, QUAD_TO_DBL(tmp));
1679  }
1680  else
1681  {
1682  newub = SCIPinfinity(scip);
1683  }
1684  }
1685  else
1686  {
1687  if( !SCIPisInfinity(scip, yub) )
1688  {
1689  SCIP_Real QUAD(tmp);
1690 
1691  SCIPquadprecProdDD(tmp, consdata->vbdcoef, yub);
1692  SCIPquadprecSumQD(tmp, -tmp, consdata->rhs);
1693 
1694  newub = SCIPadjustedVarUb(scip, consdata->var, QUAD_TO_DBL(tmp));
1695  }
1696  else
1697  {
1698  newub = SCIPinfinity(scip);
1699  }
1700  }
1701 
1702  SCIP_CALL( SCIPinferVarUbCons(scip, consdata->var, newub, cons, (int)PROPRULE_3, yub < ylb + 0.5, cutoff, &tightened) );
1703 
1704  if( *cutoff )
1705  {
1706  SCIPdebugMsg(scip, "cutoff while tightening <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->var), xlb, xub, xlb, newub);
1707  assert( SCIPisInfinity(scip, -newub) || SCIPisLT(scip, newub, SCIPvarGetLbLocal(consdata->var)) );
1708 
1709  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1710 
1711  /* analyze infeasibility */
1712  SCIP_CALL( analyzeConflict(scip, cons, consdata->var, newub, PROPRULE_3, SCIP_BOUNDTYPE_UPPER, usebdwidening) );
1713  break;
1714  }
1715 
1716  if( tightened )
1717  {
1718  SCIPdebugMsg(scip, " -> tighten <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->var), xlb, xub, xlb, newub);
1719  tightenedround = TRUE;
1720  (*nchgbds)++;
1721  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1722  }
1723  xub = SCIPvarGetUbLocal(consdata->var);
1724  }
1725 
1726  assert(!*cutoff);
1727 
1728  /* propagate bounds on y:
1729  * (4) right hand side and lower bound on x -> bound on y
1730  */
1731  if( SCIPvarGetStatus(consdata->vbdvar) != SCIP_VARSTATUS_MULTAGGR && !SCIPisInfinity(scip, -xlb) ) /* cannot change bounds of multaggr vars */
1732  {
1733  if( consdata->vbdcoef > 0.0 )
1734  {
1735  SCIP_Real QUAD(tmp);
1736 
1737  SCIPquadprecSumDD(tmp, consdata->rhs, -xlb);
1738  SCIPquadprecDivQD(tmp, tmp, consdata->vbdcoef);
1739 
1740  newub = SCIPadjustedVarUb(scip, consdata->vbdvar, QUAD_TO_DBL(tmp));
1741  if( newub < yub - 0.5 )
1742  {
1743  SCIP_CALL( SCIPinferVarUbCons(scip, consdata->vbdvar, newub, cons, (int)PROPRULE_4, FALSE, cutoff, &tightened) );
1744 
1745  if( *cutoff )
1746  {
1747  SCIPdebugMsg(scip, "cutoff while tightening <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, ylb, newub);
1748  assert(SCIPisLT(scip, newub, SCIPvarGetLbLocal(consdata->vbdvar)));
1749 
1750  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1751 
1752  /* analyze infeasibility */
1753  SCIP_CALL( analyzeConflict(scip, cons, consdata->vbdvar, newub, PROPRULE_4, SCIP_BOUNDTYPE_UPPER, usebdwidening) );
1754  break;
1755  }
1756 
1757  if( tightened )
1758  {
1759  SCIPdebugMsg(scip, " -> tighten <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, ylb, newub);
1760  tightenedround = TRUE;
1761  (*nchgbds)++;
1762  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1763  }
1764  yub = SCIPvarGetUbLocal(consdata->vbdvar);
1765  }
1766  }
1767  else
1768  {
1769  SCIP_Real QUAD(tmp);
1770 
1771  SCIPquadprecSumDD(tmp, consdata->rhs, -xlb);
1772  SCIPquadprecDivQD(tmp, tmp, consdata->vbdcoef);
1773 
1774  newlb = SCIPadjustedVarLb(scip, consdata->vbdvar, QUAD_TO_DBL(tmp));
1775  if( newlb > ylb + 0.5 )
1776  {
1777  SCIP_CALL( SCIPinferVarLbCons(scip, consdata->vbdvar, newlb, cons, (int)PROPRULE_4, FALSE, cutoff, &tightened) );
1778 
1779  if( *cutoff )
1780  {
1781  SCIPdebugMsg(scip, "cutoff while tightening <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, newlb, yub);
1782  assert(SCIPisGT(scip, newlb, SCIPvarGetUbLocal(consdata->vbdvar)));
1783 
1784  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1785 
1786  /* analyze infeasibility */
1787  SCIP_CALL( analyzeConflict(scip, cons, consdata->vbdvar, newlb, PROPRULE_4, SCIP_BOUNDTYPE_LOWER, usebdwidening) );
1788  break;
1789  }
1790 
1791  if( tightened )
1792  {
1793  SCIPdebugMsg(scip, " -> tighten <%s>[%.15g,%.15g] -> [%.15g,%.15g]\n", SCIPvarGetName(consdata->vbdvar), ylb, yub, newlb, yub);
1794  tightenedround = TRUE;
1795  (*nchgbds)++;
1796  SCIP_CALL( SCIPresetConsAge(scip, cons) );
1797  }
1798  ylb = SCIPvarGetLbLocal(consdata->vbdvar);
1799  }
1800  }
1801  }
1802  }
1803  assert(!(*cutoff));
1804  }
1805  while( tightenedround );
1806 
1807  /* check for redundant sides */
1808  if( !(*cutoff) && SCIPgetStage(scip) == SCIP_STAGE_PRESOLVING && !SCIPinProbing(scip) )
1809  {
1810  /* check left hand side for redundancy */
1811  if( !SCIPisInfinity(scip, -consdata->lhs) &&
1812  ((consdata->vbdcoef > 0.0 && SCIPisGE(scip, xlb + consdata->vbdcoef * ylb, consdata->lhs))
1813  || (consdata->vbdcoef < 0.0 && SCIPisGE(scip, xlb + consdata->vbdcoef * yub, consdata->lhs))) )
1814  {
1815  SCIPdebugMsg(scip, "left hand side of variable bound constraint <%s> is redundant\n", SCIPconsGetName(cons));
1816 
1817  SCIP_CALL( chgLhs(scip, cons, -SCIPinfinity(scip)) );
1818  ++(*nchgsides);
1819  }
1820 
1821  /* check right hand side for redundancy */
1822  if( !SCIPisInfinity(scip, consdata->rhs) &&
1823  ((consdata->vbdcoef > 0.0 && SCIPisLE(scip, xub + consdata->vbdcoef * yub, consdata->rhs))
1824  || (consdata->vbdcoef < 0.0 && SCIPisLE(scip, xub + consdata->vbdcoef * ylb, consdata->rhs))) )
1825  {
1826  SCIPdebugMsg(scip, "right hand side of variable bound constraint <%s> is redundant\n", SCIPconsGetName(cons));
1827 
1828  SCIP_CALL( chgRhs(scip, cons, SCIPinfinity(scip)) );
1829  ++(*nchgsides);
1830  }
1831  }
1832  /* check varbound constraint for redundancy */
1833  if( !(*cutoff) && (SCIPisInfinity(scip, -consdata->lhs)
1834  || (consdata->vbdcoef > 0.0 && SCIPisGE(scip, xlb + consdata->vbdcoef * ylb, consdata->lhs))
1835  || (consdata->vbdcoef < 0.0 && SCIPisGE(scip, xlb + consdata->vbdcoef * yub, consdata->lhs)))
1836  && (SCIPisInfinity(scip, consdata->rhs)
1837  || (consdata->vbdcoef > 0.0 && SCIPisLE(scip, xub + consdata->vbdcoef * yub, consdata->rhs))
1838  || (consdata->vbdcoef < 0.0 && SCIPisLE(scip, xub + consdata->vbdcoef * ylb, consdata->rhs))) )
1839  {
1840  SCIPdebugMsg(scip, "variable bound constraint <%s> is redundant: <%s>[%.15g,%.15g], <%s>[%.15g,%.15g]\n",
1841  SCIPconsGetName(cons),
1842  SCIPvarGetName(consdata->var), SCIPvarGetLbLocal(consdata->var), SCIPvarGetUbLocal(consdata->var),
1843  SCIPvarGetName(consdata->vbdvar), SCIPvarGetLbLocal(consdata->vbdvar), SCIPvarGetUbLocal(consdata->vbdvar));
1844  SCIP_CALL( SCIPdelConsLocal(scip, cons) );
1845 
1846  /* this did not seem to help but should be tested again, there might also still be a bug in there */
1847 #ifdef SCIP_DISABLED_CODE
1848  /* local duality fixing of variables in the constraint */
1849  if( !SCIPisNegative(scip, SCIPvarGetObj(consdata->vbdvar))
1850  && SCIPvarGetNLocksDownType(consdata->vbdvar, SCIP_LOCKTYPE_MODEL) == 1
1851  && !SCIPisInfinity(scip, -SCIPvarGetLbLocal(consdata->vbdvar))
1852  && SCIPisFeasLT(scip, SCIPvarGetLbLocal(consdata->vbdvar), SCIPvarGetUbLocal(consdata->vbdvar))
1853  && ((consdata->vbdcoef > 0.0 && !SCIPisInfinity(scip, -consdata->lhs))
1854  || (consdata->vbdcoef < 0.0 && !SCIPisInfinity(scip, consdata->rhs))) )
1855  {
1856  SCIPdebugMsg(scip, " --> fixing <%s>[%.15g,%.15g] to %.15g\n", SCIPvarGetName(consdata->vbdvar),
1857  SCIPvarGetLbLocal(consdata->vbdvar), SCIPvarGetUbLocal(consdata->vbdvar), SCIPvarGetLbLocal(consdata->vbdvar));
1858  SCIP_CALL( SCIPchgVarUb(scip, consdata->vbdvar, SCIPvarGetLbLocal(consdata->vbdvar)) );
1859  }
1860  else if( !SCIPisPositive(scip, SCIPvarGetObj(consdata->vbdvar))
1861  && SCIPvarGetNLocksUpType(consdata->vbdvar, SCIP_LOCKTYPE_MODEL) == 1
1862  && !SCIPisInfinity(scip, SCIPvarGetUbLocal(consdata->vbdvar))
1863  && SCIPisFeasLT(scip, SCIPvarGetLbLocal(consdata->vbdvar), SCIPvarGetUbLocal(consdata->vbdvar))
1864  && ((consdata->vbdcoef < 0.0 && !SCIPisInfinity(scip, -consdata->lhs))
1865  || (consdata->vbdcoef > 0.0 && !SCIPisInfinity(scip, consdata->rhs))) )
1866  {
1867  SCIPdebugMsg(scip, " --> fixing <%s>[%.15g,%.15g] to %.15g\n", SCIPvarGetName(consdata->vbdvar),
1868  SCIPvarGetLbLocal(consdata->vbdvar), SCIPvarGetUbLocal(consdata->vbdvar), SCIPvarGetUbLocal(consdata->vbdvar));
1869  SCIP_CALL( SCIPchgVarLb(scip, consdata->vbdvar, SCIPvarGetUbLocal(consdata->vbdvar)) );
1870  }
1871  if( !SCIPisNegative(scip, SCIPvarGetObj(consdata->var))
1872  && SCIPvarGetNLocksDownType(consdata->var, SCIP_LOCKTYPE_MODEL) == 1
1873  && !SCIPisInfinity(scip, -SCIPvarGetLbLocal(consdata->var))
1874  && SCIPisFeasLT(scip, SCIPvarGetLbLocal(consdata->var), SCIPvarGetUbLocal(consdata->var))
1875  && !SCIPisInfinity(scip, -consdata->lhs) )
1876  {
1877  SCIPdebugMsg(scip, " --> fixing <%s>[%.15g,%.15g] to %.15g\n", SCIPvarGetName(consdata->var),
1878  SCIPvarGetLbLocal(consdata->var), SCIPvarGetUbLocal(consdata->var), SCIPvarGetLbLocal(consdata->var));
1879  SCIP_CALL( SCIPchgVarUb(scip, consdata->var, SCIPvarGetLbLocal(consdata->var)) );
1880  }
1881  else if( !SCIPisPositive(scip, SCIPvarGetObj(consdata->var))
1882  && SCIPvarGetNLocksUpType(consdata->var, SCIP_LOCKTYPE_MODEL) == 1
1883  && !SCIPisInfinity(scip, SCIPvarGetUbLocal(consdata->var))
1884  && SCIPisFeasLT(scip, SCIPvarGetLbLocal(consdata->var), SCIPvarGetUbLocal(consdata->var))
1885  && !SCIPisInfinity(scip, consdata->rhs) )
1886  {
1887  SCIPdebugMsg(scip, " --> fixing <%s>[%.15g,%.15g] to %.15g\n", SCIPvarGetName(consdata->var),
1888  SCIPvarGetLbLocal(consdata->var), SCIPvarGetUbLocal(consdata->var), SCIPvarGetUbLocal(consdata->var));
1889  SCIP_CALL( SCIPchgVarLb(scip, consdata->var, SCIPvarGetUbLocal(consdata->var)) );
1890  }
1891 #endif
1892  if( ndelconss != NULL )
1893  (*ndelconss)++;
1894  }
1895 
1896  SCIP_CALL( SCIPunmarkConsPropagate(scip, cons) );
1897 
1898  return SCIP_OKAY;
1899 }
1900 
1901 /* check whether one constraint side is redundant to another constraint side by calculating extreme values for
1902  * variables
1903  */
1904 static
1905 void checkRedundancySide(
1906  SCIP* scip, /**< SCIP data structure */
1907  SCIP_VAR* var, /**< variable x that has variable bound */
1908  SCIP_VAR* vbdvar, /**< binary, integer or implicit integer bounding variable y */
1909  SCIP_Real coef0, /**< coefficient c0 of bounding variable y for constraint 0 */
1910  SCIP_Real coef1, /**< coefficient c1 of bounding variable y for constraint 1 */
1911  SCIP_Real side0, /**< one side of variable bound inequality for constraint 0 */
1912  SCIP_Real side1, /**< one side of variable bound inequality for constraint 1 */
1913  SCIP_Bool* sideequal, /**< pointer to store if both constraints have the same redundancy on the
1914  * given side */
1915  SCIP_Bool* cons0sidered, /**< pointer to store if side of constraint 0 is redundant */
1916  SCIP_Bool* cons1sidered, /**< pointer to store if side of constraint 1 is redundant */
1917  SCIP_Bool islhs /**< do we check the left or the right hand side */
1918  )
1919 {
1920  SCIP_Real lbvar;
1921  SCIP_Real ubvar;
1922  SCIP_Real lbvbdvar;
1923  SCIP_Real ubvbdvar;
1924  SCIP_Real boundxlb1;
1925  SCIP_Real boundxlb2;
1926  SCIP_Real boundylb1;
1927  SCIP_Real boundylb2;
1928  SCIP_Real boundxub1;
1929  SCIP_Real boundxub2;
1930  SCIP_Real boundyub1;
1931  SCIP_Real boundyub2;
1932  SCIP_Real boundvaluex1;
1933  SCIP_Real boundvaluex2;
1934  SCIP_Real boundvaluey1;
1935  SCIP_Real boundvaluey2;
1936  SCIP_Real valuex1;
1937  SCIP_Real valuex2;
1938  SCIP_Real valuey1;
1939  SCIP_Real valuey2;
1940  SCIP_Bool* redundant0;
1941  SCIP_Bool* redundant1;
1942  SCIP_Real eps = SCIPepsilon(scip);
1943 
1944  assert(scip != NULL);
1945  assert(var != NULL);
1946  assert(vbdvar != NULL);
1947  assert(sideequal != NULL);
1948  assert(cons0sidered != NULL);
1949  assert(cons1sidered != NULL);
1950 
1951  *cons0sidered = SCIPisInfinity(scip, REALABS(side0));
1952  *cons1sidered = SCIPisInfinity(scip, REALABS(side1));
1953  *sideequal = FALSE;
1954 
1955  if( islhs )
1956  {
1957  redundant0 = cons1sidered;
1958  redundant1 = cons0sidered;
1959  }
1960  else
1961  {
1962  redundant0 = cons0sidered;
1963  redundant1 = cons1sidered;
1964  }
1965 
1966  lbvar = SCIPvarGetLbGlobal(var);
1967  ubvar = SCIPvarGetUbGlobal(var);
1968  lbvbdvar = SCIPvarGetLbGlobal(vbdvar);
1969  ubvbdvar = SCIPvarGetUbGlobal(vbdvar);
1970 
1971  /* if both constraints have this side */
1972  if( !*redundant0 && !*redundant1 )
1973  {
1974  /* calculate extreme values, which are reached by setting the other variable to their lower/upper bound */
1975  boundxlb1 = side0 - lbvbdvar*coef0;
1976  boundxlb2 = side1 - lbvbdvar*coef1;
1977  boundylb1 = (side0 - lbvar)/coef0;
1978  boundylb2 = (side1 - lbvar)/coef1;
1979 
1980  boundxub1 = side0 - ubvbdvar*coef0;
1981  boundxub2 = side1 - ubvbdvar*coef1;
1982  boundyub1 = (side0 - ubvar)/coef0;
1983  boundyub2 = (side1 - ubvar)/coef1;
1984 
1985  if( islhs )
1986  {
1987  boundvaluex1 = MAX(boundxlb1, boundxlb2);
1988  boundvaluex2 = MAX(boundxub1, boundxub2);
1989  }
1990  else
1991  {
1992  boundvaluex1 = MIN(boundxlb1, boundxlb2);
1993  boundvaluex2 = MIN(boundxub1, boundxub2);
1994  }
1995 
1996  /* calculate important values for variables */
1997  if( SCIPisPositive(scip, coef0) )
1998  {
1999  valuex1 = MIN(boundvaluex1, ubvar);
2000  valuex1 = MAX(valuex1, lbvar);
2001  valuex2 = MAX(boundvaluex2, lbvar);
2002  valuex2 = MIN(valuex2, ubvar);
2003 
2004  /* if variable is of integral type make values integral too */
2006  {
2007  if( !SCIPisFeasIntegral(scip, valuex1) )
2008  valuex1 = SCIPfeasFloor(scip, valuex1);
2009  if( !SCIPisFeasIntegral(scip, valuex2) )
2010  valuex2 = SCIPfeasCeil(scip, valuex2);
2011  }
2012  }
2013  else
2014  {
2015  valuex1 = MAX(boundvaluex1, lbvar);
2016  valuex1 = MIN(valuex1, ubvar);
2017  valuex2 = MIN(boundvaluex2, ubvar);
2018  valuex2 = MAX(valuex2, lbvar);
2019 
2020  /* if variable is of integral type make values integral too */
2022  {
2023  if( !SCIPisFeasIntegral(scip, valuex1) )
2024  valuex1 = SCIPfeasCeil(scip, valuex1);
2025  if( !SCIPisFeasIntegral(scip, valuex2) )
2026  valuex2 = SCIPfeasFloor(scip, valuex2);
2027  }
2028  }
2029 
2030  /* calculate resulting values of variable y by setting x to valuex1 */
2031  valuey1 = (side0 - valuex1)/coef0;
2032  valuey2 = (side1 - valuex1)/coef1;
2033 
2034  /* determine redundancy of one constraints side */
2035  if( valuey1 - valuey2 <= eps )
2036  *sideequal = TRUE;
2037  else if( SCIPisPositive(scip, coef0) )
2038  {
2039  if( valuey1 < valuey2 )
2040  *redundant1 = TRUE;
2041  else
2042  *redundant0 = TRUE;
2043  }
2044  else
2045  {
2046  if( valuey1 < valuey2 )
2047  *redundant0 = TRUE;
2048  else
2049  *redundant1 = TRUE;
2050  }
2051 
2052  /* calculate resulting values of variable y by setting x to valuex2 */
2053  valuey1 = (side0 - valuex2)/coef0;
2054  valuey2 = (side1 - valuex2)/coef1;
2055 
2056  /* determine redundancy of one constraints side by checking for the first valuex2 */
2057  if( SCIPisPositive(scip, coef0) )
2058  {
2059  /* if both constraints are weaker than the other on one value, we have no redundancy */
2060  if( (*redundant1 && valuey1 > valuey2) || (*redundant0 && valuey1 < valuey2) )
2061  {
2062  *sideequal = FALSE;
2063  *redundant0 = FALSE;
2064  *redundant1 = FALSE;
2065  return;
2066  }
2067  else if( *sideequal )
2068  {
2069  if( valuey1 + eps < valuey2 )
2070  {
2071  *sideequal = FALSE;
2072  *redundant1 = TRUE;
2073  }
2074  else if( valuey1 + eps > valuey2 )
2075  {
2076  *sideequal = FALSE;
2077  *redundant0 = TRUE;
2078  }
2079  }
2080  }
2081  else
2082  {
2083  /* if both constraints are weaker than the other one on one value, we have no redundancy */
2084  if( (*redundant1 && valuey1 < valuey2) || (*redundant0 && valuey1 > valuey2) )
2085  {
2086  *sideequal = FALSE;
2087  *redundant0 = FALSE;
2088  *redundant1 = FALSE;
2089  return;
2090  }
2091  else if( *sideequal )
2092  {
2093  if( valuey1 + eps < valuey2 )
2094  {
2095  *sideequal = FALSE;
2096  *redundant0 = TRUE;
2097  }
2098  else if( valuey1 + eps > valuey2 )
2099  {
2100  *sideequal = FALSE;
2101  *redundant1 = TRUE;
2102  }
2103  }
2104  }
2105  assert(*sideequal || *redundant0 || *redundant1);
2106 
2107  /* calculate feasibility domain values for variable y concerning these both constraints */
2108  if( SCIPisPositive(scip, coef0) )
2109  {
2110  if( islhs )
2111  {
2112  boundvaluey1 = MAX(boundylb1, boundylb2);
2113  boundvaluey2 = MAX(boundyub1, boundyub2);
2114  }
2115  else
2116  {
2117  boundvaluey1 = MIN(boundylb1, boundylb2);
2118  boundvaluey2 = MIN(boundyub1, boundyub2);
2119  }
2120 
2121  valuey1 = MIN(boundvaluey1, ubvbdvar);
2122  valuey1 = MAX(valuey1, lbvbdvar);
2123  valuey2 = MAX(boundvaluey2, lbvbdvar);
2124  valuey2 = MIN(valuey2, ubvbdvar);
2125 
2126  if( !SCIPisFeasIntegral(scip, valuey1) )
2127  valuey1 = SCIPfeasFloor(scip, valuey1);
2128  if( !SCIPisFeasIntegral(scip, valuey2) )
2129  valuey2 = SCIPfeasCeil(scip, valuey2);
2130  }
2131  else
2132  {
2133  if( islhs )
2134  {
2135  boundvaluey1 = MIN(boundylb1, boundylb2);
2136  boundvaluey2 = MIN(boundyub1, boundyub2);
2137  }
2138  else
2139  {
2140  boundvaluey1 = MAX(boundylb1, boundylb2);
2141  boundvaluey2 = MAX(boundyub1, boundyub2);
2142  }
2143 
2144  valuey1 = MAX(boundvaluey1, lbvbdvar);
2145  valuey1 = MIN(valuey1, ubvbdvar);
2146  valuey2 = MIN(boundvaluey2, ubvbdvar);
2147  valuey2 = MAX(valuey2, lbvbdvar);
2148 
2149  /* if variable is of integral type make values integral too */
2150  if( !SCIPisFeasIntegral(scip, valuey1) )
2151  valuey1 = SCIPfeasCeil(scip, valuey1);
2152  if( !SCIPisFeasIntegral(scip, valuey2) )
2153  valuey2 = SCIPfeasFloor(scip, valuey2);
2154  }
2155 
2156  /* calculate resulting values of variable x by setting y to valuey1 */
2157  valuex1 = side0 - valuey1*coef0;
2158  valuex2 = side1 - valuey1*coef1;
2159 
2160  /* determine redundancy of one constraints side by checking for the first valuey1 */
2161  if( (*redundant1 && valuex1 > valuex2) || (*redundant0 && valuex1 < valuex2) )
2162  {
2163  *sideequal = FALSE;
2164  *redundant0 = FALSE;
2165  *redundant1 = FALSE;
2166  return;
2167  }
2168  if( *sideequal )
2169  {
2170  if( valuex1 + eps < valuex2 )
2171  {
2172  *sideequal = FALSE;
2173  *redundant1 = TRUE;
2174  }
2175  else if( valuex1 + eps > valuex2 )
2176  {
2177  *sideequal = FALSE;
2178  *redundant0 = TRUE;
2179  }
2180  }
2181 
2182  /* calculate resulting values of variable x by setting y to valuey2 */
2183  valuex1 = side0 - valuey2*coef0;
2184  valuex2 = side1 - valuey2*coef1;
2185 
2186  /* determine redundancy of one constraints side by checking for the first valuey1 */
2187  if( (*redundant1 && valuex1 > valuex2) || (*redundant0 && valuex1 < valuex2) )
2188  {
2189  *sideequal = FALSE;
2190  *redundant0 = FALSE;
2191  *redundant1 = FALSE;
2192  return;
2193  }
2194  if( *sideequal )
2195  {
2196  if( valuex1 + eps < valuex2 )
2197  {
2198  *sideequal = FALSE;
2199  *redundant1 = TRUE;
2200  }
2201  else if( valuex1 + eps > valuex2 )
2202  {
2203  *sideequal = FALSE;
2204  *redundant0 = TRUE;
2205  }
2206  }
2207  assert(*redundant0 || *redundant1 || *sideequal);
2208  }
2209 }
2210 
2211 /** compares each constraint with all other constraints for possible redundancy and removes or changes constraint
2212  *
2213  * we will order all constraint to have constraints with same variables next to each other to speed up presolving
2214  *
2215  * consider two constraints like lhs1 <= x + b1*y <= rhs1 and lhs2 <= x + b2*y <= rhs2
2216  * we are doing the following presolving steps:
2217  *
2218  * if( b1 == b2 )
2219  * newlhs = MAX(lhs1, lhs2)
2220  * newrhs = MIN(rhs1, rhs2)
2221  * updateSides
2222  * delete one constraint
2223  * else if( ((b1 > 0) == (b2 > 0)) && (lhs1 != -inf && lhs2 != -inf) || (rhs1 != inf && rhs2 != inf) )
2224  *
2225  * (i.e. both constraint have either a valid lhs or a valid rhs and infinity is on the same side and the
2226  * coeffcients have the same size )
2227  *
2228  * if( y is binary )
2229  * if( lhs1 != -inf )
2230  * newlhs = MAX(lhs1, lhs2)
2231  * newb = newlhs - MAX(lhs1 - b1, lhs2 - b2)
2232  * else
2233  * newrhs = MIN(lhs1, lhs2)
2234  * newb = newrhs - MIN(rhs1 - b1, rhs2 - b2)
2235  * updateSidesAndCoef
2236  * delete one constraint
2237  * else
2238  * we calculate possible values for both variables and check which constraint is tighter
2239  * else
2240  * nothing possible
2241  *
2242  * We also try to tighten bounds in the case of two constraints lhs1 <= x + b1*y <= rhs1 and lhs2 <= y + b2*x <= rhs2.
2243  * Eliminiating one variable and inserting into the second yields the following bounds:
2244  * If b2 > 0:
2245  * (1 - b1 * b2) * y >= lhs2 - b2 * rhs1
2246  * (1 - b1 * b2) * y <= rhs2 - b2 * lhs1
2247  * If b2 < 0:
2248  * (1 - b1 * b2) * y >= lhs2 - b2 * lhs1
2249  * (1 - b1 * b2) * y <= rhs2 - b2 * rhs1
2250  * The case of x is similar.
2251  */
2252 static
2254  SCIP* scip, /**< SCIP data structure */
2255  SCIP_CONS** conss, /**< constraint set */
2256  int nconss, /**< number of constraints in constraint set */
2257  SCIP_Bool* cutoff, /**< pointer to store TRUE, if a cutoff was found */
2258  int* nchgbds, /**< pointer to count number of bound changes */
2259  int* ndelconss, /**< pointer to count number of deleted constraints */
2260  int* nchgcoefs, /**< pointer to count the number of changed coefficients */
2261  int* nchgsides /**< pointer to count number of changed left/right hand sides */
2262  )
2263 {
2264  SCIP_CONS** sortedconss;
2265  int c;
2266  int s;
2267 
2268  assert(scip != NULL);
2269  assert(conss != NULL);
2270  assert(cutoff != NULL);
2271  assert(nchgbds != NULL);
2272  assert(ndelconss != NULL);
2273  assert(nchgcoefs != NULL);
2274  assert(nchgsides != NULL);
2275 
2276  /* create our temporary working array */
2277  SCIP_CALL( SCIPduplicateBufferArray(scip, &sortedconss, conss, nconss) );
2278 
2279  /* sort all constraints, so that all constraints with same variables stand next to each other */
2280  SCIPsortPtr((void**)sortedconss, consVarboundComp, nconss);
2281 
2282  /* check all constraints for redundancy */
2283  for( c = nconss - 1; c > 0 && !(*cutoff); --c )
2284  {
2285  SCIP_CONS* cons0;
2286  SCIP_CONSDATA* consdata0;
2287 
2288  cons0 = sortedconss[c];
2289 
2290  if( !SCIPconsIsActive(cons0) || SCIPconsIsModifiable(cons0) )
2291  continue;
2292 
2293  consdata0 = SCIPconsGetData(cons0);
2294  assert(consdata0 != NULL);
2295  assert(consdata0->var != NULL);
2296  assert(consdata0->vbdvar != NULL);
2297 
2298  /* do not check for already redundant constraints */
2299  assert(!SCIPisZero(scip, consdata0->vbdcoef));
2300  assert(!SCIPisInfinity(scip, -consdata0->lhs) || !SCIPisInfinity(scip, consdata0->rhs));
2301 
2302  if( !consdata0->changed )
2303  continue;
2304 
2305  consdata0->changed = FALSE;
2306 
2307  for( s = c - 1; s >= 0; --s )
2308  {
2309  SCIP_CONS* cons1;
2310  SCIP_CONSDATA* consdata1;
2311  SCIP_Real lhs;
2312  SCIP_Real rhs;
2313  SCIP_Real coef;
2314  SCIP_Bool deletecons1;
2315 
2316  cons1 = sortedconss[s];
2317 
2318  if( !SCIPconsIsActive(cons1) || SCIPconsIsModifiable(cons1) )
2319  continue;
2320 
2321  consdata1 = SCIPconsGetData(cons1);
2322  assert(consdata1 != NULL);
2323  assert(consdata1->var != NULL);
2324  assert(consdata1->vbdvar != NULL);
2325 
2326  /* do not check for already redundant constraints */
2327  assert(!SCIPisZero(scip, consdata1->vbdcoef));
2328  assert(!SCIPisInfinity(scip, -consdata1->lhs) || !SCIPisInfinity(scip, consdata1->rhs));
2329 
2330  lhs = consdata0->lhs;
2331  rhs = consdata0->rhs;
2332  coef = consdata0->vbdcoef;
2333 
2334  /* check for propagation in the case: lhs1 <= x + b1*y <= rhs1 and lhs2 <= y + b2*x <= rhs2. */
2335  if ( consdata0->var == consdata1->vbdvar && consdata0->vbdvar == consdata1->var &&
2336  !SCIPisFeasZero(scip, 1.0 - coef * consdata1->vbdcoef) )
2337  {
2338  SCIP_Bool tightened = FALSE;
2339  SCIP_Real bnd = SCIP_UNKNOWN;
2340  SCIP_Real scalar;
2341  SCIP_Real newbnd;
2342 
2343  scalar = (1.0 - coef * consdata1->vbdcoef);
2344 
2345  assert( ! SCIPisInfinity(scip, REALABS(scalar)) );
2346  assert( ! SCIPisZero(scip, consdata0->vbdcoef) );
2347  assert( ! SCIPisZero(scip, consdata1->vbdcoef) );
2348 
2349  /* lower bounds for consdata0->var */
2350  if ( ! SCIPisInfinity(scip, -lhs) )
2351  {
2352  if ( SCIPisPositive(scip, coef) )
2353  {
2354  if ( ! SCIPisInfinity(scip, consdata1->rhs) )
2355  bnd = (lhs - coef * consdata1->rhs)/scalar;
2356  }
2357  else
2358  {
2359  assert( SCIPisNegative(scip, coef) );
2360  if ( ! SCIPisInfinity(scip, consdata1->lhs) )
2361  bnd = (lhs - coef * consdata1->lhs)/scalar;
2362  }
2363 
2364  if ( bnd != SCIP_UNKNOWN ) /*lint !e777*/
2365  {
2366  if ( SCIPisFeasPositive(scip, scalar) )
2367  {
2368  newbnd = SCIPadjustedVarLb(scip, consdata0->var, bnd);
2369  SCIP_CALL( SCIPtightenVarLb(scip, consdata0->var, newbnd, FALSE, cutoff, &tightened) );
2370  if ( tightened )
2371  {
2372  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened lower bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2373  SCIPvarGetName(consdata0->var), SCIPvarGetLbGlobal(consdata0->var));
2374  (*nchgbds)++;
2375  }
2376  }
2377  else if ( SCIPisFeasNegative(scip, scalar) )
2378  {
2379  newbnd = SCIPadjustedVarUb(scip, consdata0->var, bnd);
2380  SCIP_CALL( SCIPtightenVarUb(scip, consdata0->var, newbnd, FALSE, cutoff, &tightened) );
2381  if ( tightened )
2382  {
2383  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened upper bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2384  SCIPvarGetName(consdata0->var), SCIPvarGetUbGlobal(consdata0->var));
2385  (*nchgbds)++;
2386  }
2387  }
2388  }
2389  }
2390 
2391  /* upper bound for consdata0>var */
2392  if ( ! SCIPisInfinity(scip, rhs) )
2393  {
2394  bnd = SCIP_UNKNOWN;
2395  if ( SCIPisPositive(scip, coef) )
2396  {
2397  if ( ! SCIPisInfinity(scip, consdata1->lhs) )
2398  bnd = (rhs - coef * consdata1->lhs)/scalar;
2399  }
2400  else
2401  {
2402  assert( SCIPisNegative(scip, coef) );
2403  if ( ! SCIPisInfinity(scip, consdata1->rhs) )
2404  bnd = (rhs - coef * consdata1->rhs)/scalar;
2405  }
2406 
2407  if ( bnd != SCIP_UNKNOWN ) /*lint !e777*/
2408  {
2409  if ( SCIPisFeasPositive(scip, scalar) )
2410  {
2411  newbnd = SCIPadjustedVarUb(scip, consdata0->var, bnd);
2412  SCIP_CALL( SCIPtightenVarUb(scip, consdata0->var, newbnd, FALSE, cutoff, &tightened) );
2413  if ( tightened )
2414  {
2415  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened upper bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2416  SCIPvarGetName(consdata0->var), SCIPvarGetUbGlobal(consdata0->var));
2417  (*nchgbds)++;
2418  }
2419  }
2420  else if ( SCIPisFeasNegative(scip, scalar) )
2421  {
2422  newbnd = SCIPadjustedVarLb(scip, consdata0->var, bnd);
2423  SCIP_CALL( SCIPtightenVarLb(scip, consdata0->var, newbnd, FALSE, cutoff, &tightened) );
2424  if ( tightened )
2425  {
2426  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened lower bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2427  SCIPvarGetName(consdata0->var), SCIPvarGetLbGlobal(consdata0->var));
2428  (*nchgbds)++;
2429  }
2430  }
2431  }
2432  }
2433 
2434  /* lower bounds for consdata1->var */
2435  if ( ! SCIPisInfinity(scip, -consdata1->lhs) )
2436  {
2437  bnd = SCIP_UNKNOWN;
2438  if ( SCIPisPositive(scip, consdata1->vbdcoef) )
2439  {
2440  if ( ! SCIPisInfinity(scip, rhs) )
2441  bnd = (consdata1->lhs - consdata1->vbdcoef * rhs)/scalar;
2442  }
2443  else
2444  {
2445  assert( SCIPisNegative(scip, consdata1->vbdcoef) );
2446  if ( ! SCIPisInfinity(scip, lhs) )
2447  bnd = (consdata1->lhs - consdata1->vbdcoef * lhs)/scalar;
2448  }
2449 
2450  if ( bnd != SCIP_UNKNOWN ) /*lint !e777*/
2451  {
2452  if ( SCIPisFeasPositive(scip, scalar) )
2453  {
2454  newbnd = SCIPadjustedVarLb(scip, consdata1->var, bnd);
2455  SCIP_CALL( SCIPtightenVarLb(scip, consdata1->var, newbnd, FALSE, cutoff, &tightened) );
2456  if ( tightened )
2457  {
2458  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened lower bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2459  SCIPvarGetName(consdata1->var), SCIPvarGetLbGlobal(consdata1->var));
2460  (*nchgbds)++;
2461  }
2462  }
2463  else if ( SCIPisFeasNegative(scip, scalar) )
2464  {
2465  newbnd = SCIPadjustedVarUb(scip, consdata1->var, bnd);
2466  SCIP_CALL( SCIPtightenVarUb(scip, consdata1->var, newbnd, FALSE, cutoff, &tightened) );
2467  if ( tightened )
2468  {
2469  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened upper bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2470  SCIPvarGetName(consdata1->var), SCIPvarGetUbGlobal(consdata1->var));
2471  (*nchgbds)++;
2472  }
2473  }
2474  }
2475  }
2476 
2477  /* upper bound for consdata1->var */
2478  if ( ! SCIPisInfinity(scip, consdata1->rhs) )
2479  {
2480  bnd = SCIP_UNKNOWN;
2481  if ( SCIPisPositive(scip, consdata1->vbdcoef) )
2482  {
2483  if ( ! SCIPisInfinity(scip, lhs) )
2484  bnd = (consdata1->rhs - consdata1->vbdcoef * lhs)/scalar;
2485  }
2486  else
2487  {
2488  assert( SCIPisNegative(scip, consdata1->vbdcoef) );
2489  if ( ! SCIPisInfinity(scip, rhs) )
2490  bnd = (consdata1->rhs - consdata1->vbdcoef * rhs)/scalar;
2491  }
2492 
2493  if ( bnd != SCIP_UNKNOWN ) /*lint !e777*/
2494  {
2495  if ( SCIPisFeasPositive(scip, scalar) )
2496  {
2497  newbnd = SCIPadjustedVarUb(scip, consdata1->var, bnd);
2498  SCIP_CALL( SCIPtightenVarUb(scip, consdata1->var, newbnd, FALSE, cutoff, &tightened) );
2499  if ( tightened )
2500  {
2501  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened upper bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2502  SCIPvarGetName(consdata1->var), SCIPvarGetUbGlobal(consdata1->var));
2503  (*nchgbds)++;
2504  }
2505  }
2506  else if ( SCIPisFeasNegative(scip, scalar) )
2507  {
2508  newbnd = SCIPadjustedVarLb(scip, consdata1->var, bnd);
2509  SCIP_CALL( SCIPtightenVarLb(scip, consdata1->var, newbnd, FALSE, cutoff, &tightened) );
2510  if ( tightened )
2511  {
2512  SCIPdebugMsg(scip, "<%s>, <%s> -> tightened lower bound: <%s> >= %.15g\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1),
2513  SCIPvarGetName(consdata1->var), SCIPvarGetLbGlobal(consdata1->var));
2514  (*nchgbds)++;
2515  }
2516  }
2517  }
2518  }
2519  }
2520 
2521  /* check for equal variables */
2522  if( consdata0->var != consdata1->var || consdata0->vbdvar != consdata1->vbdvar )
2523  break;
2524 
2525  /* mark constraint1 for deletion if possible */
2526  deletecons1 = TRUE;
2527 
2528  /* the coefficients of both constraints are equal */
2529  if( SCIPisEQ(scip, coef, consdata1->vbdcoef) )
2530  {
2531  lhs = MAX(consdata1->lhs, lhs);
2532  rhs = MIN(consdata1->rhs, rhs);
2533  }
2534  /* now only one side and in both constraints the same side should be infinity and the vbdvar should be binary
2535  * then we neither do not need to have the same side nor the same coefficient
2536  */
2537  else if( SCIPvarIsBinary(consdata0->vbdvar)
2538  && (SCIPisInfinity(scip, -lhs) || SCIPisInfinity(scip, rhs))
2539  && (SCIPisInfinity(scip, -consdata1->lhs) || SCIPisInfinity(scip, consdata1->rhs))
2540  && (SCIPisInfinity(scip, -lhs) == SCIPisInfinity(scip, -consdata1->lhs)) )
2541  {
2542  /* lhs <= x + b*y <= +inf */
2543  if( !SCIPisInfinity(scip, -lhs) )
2544  {
2545  lhs = MAX(consdata1->lhs, lhs);
2546  coef = lhs - MAX(consdata1->lhs - consdata1->vbdcoef, consdata0->lhs - coef);
2547  }
2548  /* -inf <= x + b*y <= rhs */
2549  else
2550  {
2551  rhs = MIN(consdata1->rhs, rhs);
2552  coef = rhs - MIN(consdata1->rhs - consdata1->vbdcoef, consdata0->rhs - coef);
2553  }
2554 
2555  SCIP_CALL( SCIPmarkConsPropagate(scip, cons0) );
2556  }
2557  else if( SCIPisPositive(scip, coef) == SCIPisPositive(scip, consdata1->vbdcoef)
2558  && ((!SCIPisInfinity(scip, -lhs) && !SCIPisInfinity(scip, -consdata1->lhs))
2559  || (!SCIPisInfinity(scip, rhs) && !SCIPisInfinity(scip, consdata1->rhs))) )
2560  {
2561  SCIP_Bool cons0lhsred;
2562  SCIP_Bool cons0rhsred;
2563  SCIP_Bool cons1lhsred;
2564  SCIP_Bool cons1rhsred;
2565  SCIP_Bool lhsequal;
2566  SCIP_Bool rhsequal;
2567 
2568  assert(!SCIPisInfinity(scip, lhs));
2569  assert(!SCIPisInfinity(scip, consdata1->lhs));
2570  assert(!SCIPisInfinity(scip, -rhs));
2571  assert(!SCIPisInfinity(scip, -consdata1->rhs));
2572 
2573  /* check if a left hand side of one constraints is redundant */
2574  checkRedundancySide(scip, consdata0->var, consdata0->vbdvar, coef, consdata1->vbdcoef, lhs, consdata1->lhs, &lhsequal, &cons0lhsred, &cons1lhsred, TRUE);
2575 
2576  /* check if a right hand side of one constraints is redundant */
2577  checkRedundancySide(scip, consdata0->var, consdata0->vbdvar, coef, consdata1->vbdcoef, rhs, consdata1->rhs, &rhsequal, &cons0rhsred, &cons1rhsred, FALSE);
2578 
2579  /* if cons0 is redundant, update cons1 and delete cons0 */
2580  if( (lhsequal || cons0lhsred) && (rhsequal || cons0rhsred) )
2581  {
2582  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2583  SCIP_CALL( SCIPupdateConsFlags(scip, cons1, cons0) );
2584 
2585  SCIPdebugMsg(scip, "constraint: ");
2586  SCIPdebugPrintCons(scip, cons0, NULL);
2587  SCIPdebugMsg(scip, "is redundant to constraint: ");
2588  SCIPdebugPrintCons(scip, cons1, NULL);
2589 
2590  SCIP_CALL( SCIPdelCons(scip, cons0) );
2591  ++(*ndelconss);
2592 
2593  /* get next cons0 */
2594  break;
2595  }
2596  /* if cons1 is redundant, update cons0 and delete cons1 */
2597  else if( cons1lhsred && cons1rhsred )
2598  {
2599  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2600  SCIP_CALL( SCIPupdateConsFlags(scip, cons0, cons1) );
2601 
2602  SCIPdebugMsg(scip, "constraint: ");
2603  SCIPdebugPrintCons(scip, cons1, NULL);
2604  SCIPdebugMsg(scip, "is redundant to constraint: ");
2605  SCIPdebugPrintCons(scip, cons0, NULL);
2606 
2607  SCIP_CALL( SCIPdelCons(scip, cons1) );
2608  ++(*ndelconss);
2609 
2610  /* get next cons1 */
2611  continue;
2612  }
2613  /* if left hand side of cons0 is redundant set it to -infinity */
2614  else if( (lhsequal || cons0lhsred) && !SCIPisInfinity(scip, -lhs) )
2615  {
2616  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2617  SCIP_CALL( SCIPupdateConsFlags(scip, cons1, cons0) );
2618 
2619  lhs = -SCIPinfinity(scip);
2620 
2621  /* if right hand side of cons1 is redundant too, set it to infinity */
2622  if( cons1rhsred && !SCIPisInfinity(scip, consdata1->rhs) )
2623  {
2624  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2625  SCIP_CALL( SCIPupdateConsFlags(scip, cons0, cons1) );
2626 
2627  SCIP_CALL( chgRhs(scip, cons1, SCIPinfinity(scip)) );
2628  ++(*nchgsides);
2629 
2630  SCIPdebugMsg(scip, "deleted rhs of constraint: ");
2631  SCIPdebugPrintCons(scip, cons1, NULL);
2632  SCIPdebugMsg(scip, "due to constraint: ");
2633  SCIPdebugPrintCons(scip, cons0, NULL);
2634  }
2635 
2636  /* later on we do not want to delete cons1 */
2637  deletecons1 = FALSE;
2638  }
2639  /* if right hand side of cons0 is redundant set it to infinity */
2640  else if( (rhsequal || cons0rhsred) && !SCIPisInfinity(scip, rhs) )
2641  {
2642  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2643  SCIP_CALL( SCIPupdateConsFlags(scip, cons1, cons0) );
2644 
2645  rhs = SCIPinfinity(scip);
2646 
2647  /* if left hand side of cons1 is redundant too, set it to -infinity */
2648  if( cons1lhsred && !SCIPisInfinity(scip, -consdata1->lhs) )
2649  {
2650  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2651  SCIP_CALL( SCIPupdateConsFlags(scip, cons0, cons1) );
2652 
2653  SCIP_CALL( chgLhs(scip, cons1, -SCIPinfinity(scip)) );
2654  ++(*nchgsides);
2655 
2656  SCIPdebugMsg(scip, "deleted lhs of constraint: ");
2657  SCIPdebugPrintCons(scip, cons1, NULL);
2658  SCIPdebugMsg(scip, "due to constraint: ");
2659  SCIPdebugPrintCons(scip, cons0, NULL);
2660  }
2661 
2662  /* later on we do not want to delete cons1 */
2663  deletecons1 = FALSE;
2664  }
2665  /* if left hand side of cons1 is redundant set it to -infinity */
2666  else if( cons1lhsred && !SCIPisInfinity(scip, -consdata1->lhs) )
2667  {
2668  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2669  SCIP_CALL( SCIPupdateConsFlags(scip, cons0, cons1) );
2670 
2671  SCIP_CALL( chgLhs(scip, cons1, -SCIPinfinity(scip)) );
2672  ++(*nchgsides);
2673 
2674  SCIPdebugMsg(scip, "deleted lhs of constraint: ");
2675  SCIPdebugPrintCons(scip, cons1, NULL);
2676  SCIPdebugMsg(scip, "due to constraint: ");
2677  SCIPdebugPrintCons(scip, cons0, NULL);
2678 
2679  continue;
2680  }
2681  /* if right hand side of cons1 is redundant set it to infinity */
2682  else if( cons1rhsred && !SCIPisInfinity(scip, consdata1->rhs) )
2683  {
2684  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2685  SCIP_CALL( SCIPupdateConsFlags(scip, cons0, cons1) );
2686 
2687  SCIP_CALL( chgRhs(scip, cons1, SCIPinfinity(scip)) );
2688  ++(*nchgsides);
2689 
2690  SCIPdebugMsg(scip, "deleted rhs of constraint: ");
2691  SCIPdebugPrintCons(scip, cons1, NULL);
2692  SCIPdebugMsg(scip, "due to constraint: ");
2693  SCIPdebugPrintCons(scip, cons0, NULL);
2694 
2695  continue;
2696  }
2697  else /* nothing was redundant */
2698  continue;
2699  }
2700  else
2701  {
2702  /* there is no redundancy in both constraints with same variables */
2703  continue;
2704  }
2705 
2706  if( SCIPisFeasLT(scip, rhs, lhs) )
2707  {
2708  SCIPdebugMsg(scip, "constraint <%s> and <%s> lead to infeasibility due to their sides\n", SCIPconsGetName(cons0), SCIPconsGetName(cons1));
2709  *cutoff = TRUE;
2710  break;
2711  }
2712 
2713  /* ensure that lhs <= rhs holds without tolerances as we only allow such rows to enter the LP */
2714  if( lhs > rhs )
2715  {
2716  rhs = (lhs + rhs)/2;
2717  lhs = rhs;
2718  }
2719 
2720  /* we decide to let constraint cons0 stay, so update data structure consdata0 */
2721 
2722  /* update coefficient of cons0 */
2723 
2724  /* special case if new coefficient becomes zero, both constraints are redundant but we may tighten the bounds */
2725  if( SCIPisZero(scip, coef) )
2726  {
2727  SCIP_Bool infeasible;
2728  SCIP_Bool tightened;
2729 
2730  SCIPdebugMsg(scip, "constraint: ");
2731  SCIPdebugPrintCons(scip, cons1, NULL);
2732  SCIPdebugMsg(scip, "and constraint: ");
2733  SCIPdebugPrintCons(scip, cons0, NULL);
2734  SCIPdebugMsg(scip, "are both redundant and lead to bounding of <%s> in [%g, %g]\n", SCIPvarGetName(consdata0->var), lhs, rhs);
2735 
2736  /* delete cons1 */
2737  SCIP_CALL( SCIPdelCons(scip, cons1) );
2738  ++(*ndelconss);
2739 
2740  /* update upper bound if possible
2741  *
2742  * @note we need to force the bound change since we are deleting the constraint afterwards
2743  */
2744  SCIP_CALL( SCIPtightenVarUb(scip, consdata0->var, rhs, TRUE, &infeasible, &tightened) );
2745  if( infeasible )
2746  {
2747  *cutoff = TRUE;
2748  break;
2749  }
2750  if( tightened )
2751  ++(*nchgbds);
2752 
2753  /* update lower bound if possible
2754  *
2755  * @note we need to force the bound change since we are deleting the constraint afterwards
2756  */
2757  SCIP_CALL( SCIPtightenVarLb(scip, consdata0->var, lhs, TRUE, &infeasible, &tightened) );
2758  if( infeasible )
2759  {
2760  *cutoff = TRUE;
2761  break;
2762  }
2763  if( tightened )
2764  ++(*nchgbds);
2765 
2766  /* delete cons0 */
2767  SCIP_CALL( SCIPdelCons(scip, cons0) );
2768  ++(*ndelconss);
2769 
2770  /* get next cons0 */
2771  break;
2772  }
2773 
2774  SCIPdebugMsg(scip, "constraint: ");
2775  SCIPdebugPrintCons(scip, cons1, NULL);
2776  SCIPdebugMsg(scip, "and constraint: ");
2777  SCIPdebugPrintCons(scip, cons0, NULL);
2778 
2779  /* if sign of coefficient switches, update the locks of the variable */
2780  if( consdata0->vbdcoef * coef < 0.0 )
2781  {
2782  assert(SCIPconsIsTransformed(cons0));
2783 
2784  /* remove locks for variable with old coefficient and install locks for variable with new
2785  * coefficient
2786  */
2787  if( consdata0->vbdcoef > 0.0 )
2788  {
2789  SCIP_CALL( SCIPunlockVarCons(scip, consdata0->vbdvar, cons0, !SCIPisInfinity(scip, -consdata0->lhs),
2790  !SCIPisInfinity(scip, consdata0->rhs)) );
2791  SCIP_CALL( SCIPlockVarCons(scip, consdata0->vbdvar, cons0, !SCIPisInfinity(scip, consdata0->rhs),
2792  !SCIPisInfinity(scip, -consdata0->lhs)) );
2793  }
2794  else
2795  {
2796  SCIP_CALL( SCIPunlockVarCons(scip, consdata0->vbdvar, cons0, !SCIPisInfinity(scip, consdata0->rhs),
2797  !SCIPisInfinity(scip, -consdata0->lhs)) );
2798  SCIP_CALL( SCIPlockVarCons(scip, consdata0->vbdvar, cons0, !SCIPisInfinity(scip, -consdata0->lhs),
2799  !SCIPisInfinity(scip, consdata0->rhs)) );
2800  }
2801  }
2802 
2803  /* now change the coefficient */
2804  if( !SCIPisEQ(scip, consdata0->vbdcoef, coef) )
2805  {
2806  ++(*nchgcoefs);
2807 
2808  /* mark to add new varbound information */
2809  consdata0->varboundsadded = FALSE;
2810  consdata0->tightened = FALSE;
2811  consdata0->presolved = FALSE;
2812  consdata0->changed = FALSE;
2813 
2814  consdata0->vbdcoef = coef;
2815 
2816  SCIP_CALL( SCIPmarkConsPropagate(scip, cons0) );
2817  }
2818 
2819  /* update lhs and rhs of cons0 */
2820  if( !SCIPisEQ(scip, consdata0->lhs, lhs) )
2821  {
2822  SCIP_CALL( chgLhs(scip, cons0, lhs) );
2823  ++(*nchgsides);
2824  }
2825  if( !SCIPisEQ(scip, consdata0->rhs, rhs) )
2826  {
2827  SCIP_CALL( chgRhs(scip, cons0, rhs) );
2828  ++(*nchgsides);
2829  }
2830 
2831  SCIPdebugMsg(scip, "lead to new constraint: ");
2832  SCIPdebugPrintCons(scip, cons0, NULL);
2833 
2834  /* if cons1 is still marked for deletion, delete it */
2835  if( deletecons1 )
2836  {
2837  /* update flags of constraint which caused the redundancy s.t. nonredundant information doesn't get lost */
2838  SCIP_CALL( SCIPupdateConsFlags(scip, cons0, cons1) );
2839 
2840  /* delete cons1 */
2841  SCIP_CALL( SCIPdelCons(scip, cons1) );
2842  ++(*ndelconss);
2843  }
2844 
2845  assert(SCIPconsIsActive(cons0));
2846  }
2847  }
2848 
2849  /* free temporary memory */
2850  SCIPfreeBufferArray(scip, &sortedconss);
2851 
2852  return SCIP_OKAY;
2853 }
2854 
2855 /** for all varbound constraints with two integer variables make the coefficients integral */
2856 static
2857 void prettifyConss(
2858  SCIP* scip, /**< SCIP data structure */
2859  SCIP_CONS** conss, /**< constraint set */
2860  int nconss, /**< number of constraints in constraint set */
2861  int* nchgcoefs, /**< pointer to count the number of changed coefficients */
2862  int* nchgsides /**< pointer to count number of changed left/right hand sides */
2863  )
2864 {
2865  SCIP_CONSDATA* consdata;
2866  int c;
2867 
2868  assert(scip != NULL);
2869  assert(conss != NULL || nconss == 0);
2870  assert(nchgcoefs != NULL);
2871  assert(nchgsides != NULL);
2872 
2873  /* if we cannot find any constraint for prettifying, stop */
2874  if( SCIPgetNIntVars(scip) + SCIPgetNImplVars(scip) < 1 )
2875  return;
2876 
2877  for( c = nconss - 1; c >= 0; --c )
2878  {
2879  assert(conss != NULL);
2880 
2881  if( SCIPconsIsDeleted(conss[c]) )
2882  continue;
2883 
2884  consdata = SCIPconsGetData(conss[c]);
2885  assert(consdata != NULL);
2886 
2887  /* check for integer variables and one coefficient with an absolute value smaller than 1 */
2888  /* @note: we allow that the variable type of the bounded variable can be smaller than the variable type of the
2889  * bounding variable
2890  */
2891  if( (SCIPvarGetType(consdata->var) == SCIP_VARTYPE_BINARY || SCIPvarGetType(consdata->var) == SCIP_VARTYPE_INTEGER
2892  || SCIPvarGetType(consdata->var) == SCIP_VARTYPE_IMPLINT)
2893  && (SCIPvarGetType(consdata->vbdvar) == SCIP_VARTYPE_INTEGER || SCIPvarGetType(consdata->vbdvar) == SCIP_VARTYPE_IMPLINT)
2894  && SCIPisLT(scip, REALABS(consdata->vbdcoef), 1.0) )
2895  {
2896  SCIP_Real epsilon;
2897  SCIP_Longint nominator;
2898  SCIP_Longint denominator;
2899  SCIP_Longint maxmult;
2900  SCIP_Bool success;
2901 
2902  maxmult = (SCIP_Longint)(SCIPfeastol(scip)/SCIPepsilon(scip) + SCIPfeastol(scip));
2903  maxmult = MIN(maxmult, MAXSCALEDCOEF);
2904 
2905  /* this ensures that one coefficient in the scaled constraint will be one as asserted below; 0.9 to be safe */
2906  epsilon = SCIPepsilon(scip) / (SCIP_Real)maxmult;
2907  epsilon *= 0.9;
2908 
2909  success = SCIPrealToRational(consdata->vbdcoef, -epsilon, epsilon , maxmult, &nominator, &denominator);
2910 
2911  if( success )
2912  {
2913  /* it is possible that the dominator is a multiple of the nominator */
2914  if( SCIPisIntegral(scip, (SCIP_Real) denominator / (SCIP_Real) nominator) )
2915  {
2916  denominator /= nominator;
2917  nominator = 1;
2918  }
2919 
2920  success = success && (denominator <= maxmult);
2921 
2922  /* scale the constraint denominator/nominator */
2923  if( success && ABS(denominator) > 1 && nominator == 1 )
2924  {
2925  SCIP_VAR* swapvar;
2926 
2927  /* print constraint before scaling */
2928  SCIPdebugPrintCons(scip, conss[c], NULL);
2929 
2930  assert(SCIPisEQ(scip, consdata->vbdcoef * denominator, 1.0));
2931 
2932  /* need to switch sides if coefficient is smaller then 0 */
2933  if( consdata->vbdcoef < 0 )
2934  {
2935  assert(denominator < 0);
2936 
2937  /* compute new sides */
2938 
2939  /* only right hand side exists */
2940  if( SCIPisInfinity(scip, -consdata->lhs) )
2941  {
2942  consdata->lhs = consdata->rhs * denominator;
2943  assert(!SCIPisInfinity(scip, -consdata->lhs) && !SCIPisInfinity(scip, consdata->lhs));
2944 
2945  consdata->rhs = SCIPinfinity(scip);
2946  }
2947  /* only left hand side exists */
2948  else if( SCIPisInfinity(scip, consdata->rhs) )
2949  {
2950  consdata->rhs = consdata->lhs * denominator;
2951  assert(!SCIPisInfinity(scip, consdata->rhs) && !SCIPisInfinity(scip, -consdata->rhs));
2952 
2953  consdata->lhs = -SCIPinfinity(scip);
2954  }
2955  /* both sides exist */
2956  else
2957  {
2958  SCIP_Real tmp;
2959 
2960  tmp = consdata->lhs;
2961  consdata->lhs = consdata->rhs * denominator;
2962  consdata->rhs = tmp * denominator;
2963  consdata->tightened = FALSE;
2964 
2965  assert(!SCIPisInfinity(scip, consdata->lhs) && !SCIPisInfinity(scip, -consdata->lhs));
2966  assert(SCIPisGE(scip, consdata->rhs, consdata->lhs) && !SCIPisInfinity(scip, consdata->rhs));
2967  }
2968  *nchgsides += 2;
2969  }
2970  /* coefficient > 0 */
2971  else
2972  {
2973  assert(denominator > 0);
2974 
2975  /* compute new left hand side */
2976  if( !SCIPisInfinity(scip, -consdata->lhs) )
2977  {
2978  consdata->lhs *= denominator;
2979  assert(!SCIPisInfinity(scip, consdata->lhs) && !SCIPisInfinity(scip, -consdata->lhs));
2980  ++(*nchgsides);
2981  }
2982 
2983  /* compute new right hand side */
2984  if( !SCIPisInfinity(scip, consdata->rhs) )
2985  {
2986  consdata->rhs *= denominator;
2987  assert(!SCIPisInfinity(scip, consdata->rhs) && !SCIPisInfinity(scip, -consdata->rhs));
2988  ++(*nchgsides);
2989  }
2990 
2991  assert(SCIPisGE(scip, consdata->rhs, consdata->lhs));
2992  }
2993 
2994  /* swap both variables */
2995  swapvar = consdata->var;
2996  consdata->var = consdata->vbdvar;
2997  consdata->vbdvar = swapvar;
2998 
2999  /* swap coefficient */
3000  consdata->vbdcoef = (SCIP_Real)denominator;
3001  ++(*nchgcoefs);
3002 
3003  /* mark to add new varbound information */
3004  consdata->varboundsadded = FALSE;
3005  consdata->tightened = FALSE;
3006 
3007  /* print constraint after scaling */
3008  SCIPdebugMsg(scip, "transformed into:");
3009  SCIPdebugPrintCons(scip, conss[c], NULL);
3010  }
3011  }
3012  }
3013  }
3014 }
3015 
3016 /** replaces fixed and aggregated variables in variable bound constraint by active problem variables */
3017 static
3019  SCIP* scip, /**< SCIP data structure */
3020  SCIP_CONS* cons, /**< variable bound constraint */
3021  SCIP_EVENTHDLR* eventhdlr, /**< event handler */
3022  SCIP_Bool* cutoff, /**< pointer to store whether an infeasibility was detected */
3023  int* nchgbds, /**< pointer to count number of bound changes */
3024  int* ndelconss, /**< pointer to count number of deleted constraints */
3025  int* naddconss /**< pointer to count number of added constraints */
3026  )
3027 {
3028  SCIP_CONSDATA* consdata;
3029  SCIP_VAR* var;
3030  SCIP_Real varscalar;
3031  SCIP_Real varconstant;
3032  SCIP_VAR* vbdvar;
3033  SCIP_Real vbdvarscalar;
3034  SCIP_Real vbdvarconstant;
3035  SCIP_Bool varschanged;
3036  SCIP_Bool redundant;
3037 
3038  assert(scip != NULL);
3039  assert(cons != NULL);
3040  assert(cutoff != NULL);
3041  assert(nchgbds != NULL);
3042  assert(ndelconss != NULL);
3043  assert(naddconss != NULL);
3044 
3045  *cutoff = FALSE;
3046  redundant = FALSE;
3047 
3048  /* the variable bound constraint is: lhs <= x + c*y <= rhs */
3049  consdata = SCIPconsGetData(cons);
3050  assert(consdata != NULL);
3051 
3052  /* get active problem variables of x and y */
3053  var = consdata->var;
3054  varscalar = 1.0;
3055  varconstant = 0.0;
3056  SCIP_CALL( SCIPgetProbvarSum(scip, &var, &varscalar, &varconstant) );
3057  vbdvar = consdata->vbdvar;
3058  vbdvarscalar = 1.0;
3059  vbdvarconstant = 0.0;
3060  SCIP_CALL( SCIPgetProbvarSum(scip, &vbdvar, &vbdvarscalar, &vbdvarconstant) );
3061  varschanged = (var != consdata->var || vbdvar != consdata->vbdvar);
3062 
3063  /* if the variables are equal, the variable bound constraint reduces to standard bounds on the single variable */
3064  if( var == vbdvar && SCIPvarGetStatus(var) != SCIP_VARSTATUS_MULTAGGR )
3065  {
3066  SCIP_Real scalar;
3067  SCIP_Real constant;
3068 
3069  SCIPdebugMsg(scip, "variable bound constraint <%s> has equal variable and vbd variable <%s>\n",
3070  SCIPconsGetName(cons), SCIPvarGetName(var));
3071 
3072  /* lhs <= a1*z + b1 + c(a2*z + b2) <= rhs
3073  * <=> lhs <= (a1 + c*a2)z + (b1 + c*b2) <= rhs
3074  */
3075  scalar = varscalar + consdata->vbdcoef * vbdvarscalar;
3076  constant = varconstant + consdata->vbdcoef * vbdvarconstant;
3077  if( SCIPisZero(scip, scalar) )
3078  {
3079  /* no variable is left: the constraint is redundant or infeasible */
3080  if( SCIPisFeasLT(scip, constant, consdata->lhs) || SCIPisFeasGT(scip, constant, consdata->rhs) )
3081  *cutoff = TRUE;
3082  }
3083  else if( scalar > 0.0 )
3084  {
3085  if( !SCIPisInfinity(scip, -consdata->lhs) && !(*cutoff) )
3086  {
3087  SCIP_Bool tightened;
3088 
3089  SCIP_CALL( SCIPtightenVarLb(scip, var, (consdata->lhs - constant)/scalar, TRUE, cutoff, &tightened) );
3090  if( tightened )
3091  {
3092  SCIPdebugMsg(scip, " -> tightened lower bound: <%s> >= %.15g\n", SCIPvarGetName(var), SCIPvarGetLbGlobal(var));
3093  (*nchgbds)++;
3094  }
3095  }
3096  if( !SCIPisInfinity(scip, consdata->rhs) && !(*cutoff) )
3097  {
3098  SCIP_Bool tightened;
3099 
3100  SCIP_CALL( SCIPtightenVarUb(scip, var, (consdata->rhs - constant)/scalar, TRUE, cutoff, &tightened) );
3101  if( tightened )
3102  {
3103  SCIPdebugMsg(scip, " -> tightened upper bound: <%s> <= %.15g\n", SCIPvarGetName(var), SCIPvarGetUbGlobal(var));
3104  (*nchgbds)++;
3105  }
3106  }
3107  }
3108  else
3109  {
3110  if( !SCIPisInfinity(scip, -consdata->lhs) && !(*cutoff) )
3111  {
3112  SCIP_Bool tightened;
3113 
3114  SCIP_CALL( SCIPtightenVarUb(scip, var, (consdata->lhs - constant)/scalar, TRUE, cutoff, &tightened) );
3115  if( tightened )
3116  {
3117  SCIPdebugMsg(scip, " -> tightened upper bound: <%s> <= %.15g\n", SCIPvarGetName(var), SCIPvarGetUbGlobal(var));
3118  (*nchgbds)++;
3119  }
3120  }
3121  if( !SCIPisInfinity(scip, consdata->rhs) && !(*cutoff) )
3122  {
3123  SCIP_Bool tightened;
3124 
3125  SCIP_CALL( SCIPtightenVarLb(scip, var, (consdata->rhs - constant)/scalar, TRUE, cutoff, &tightened) );
3126  if( tightened )
3127  {
3128  SCIPdebugMsg(scip, " -> tightened lower bound: <%s> >= %.15g\n", SCIPvarGetName(var), SCIPvarGetLbGlobal(var));
3129  (*nchgbds)++;
3130  }
3131  }
3132  }
3133  redundant = TRUE;
3134  }
3135  else
3136  {
3137  /* if the variables should be replaced, drop the events and catch the events on the new variables afterwards */
3138  if( varschanged )
3139  {
3140  SCIP_CALL( dropEvents(scip, cons, eventhdlr) );
3141  }
3142 
3143  /* apply aggregation on x */
3144  if( SCIPisZero(scip, varscalar) )
3145  {
3146  /* the variable being fixed or corresponding to an aggregation might lead to numerical difficulties */
3147  if( SCIPisZero(scip, consdata->vbdcoef * vbdvarscalar) )
3148  {
3149  SCIPdebugMsg(scip, "variable bound constraint <%s>: variable <%s> is fixed to %.15g\n",
3150  SCIPconsGetName(cons), SCIPvarGetName(consdata->var), varconstant);
3151 
3152  assert( SCIPisEQ(scip, SCIPvarGetUbGlobal(consdata->vbdvar), SCIPvarGetLbGlobal(consdata->vbdvar)) );
3153  *cutoff = *cutoff || !( SCIPisInfinity(scip, -consdata->lhs) || SCIPisFeasLE(scip, consdata->lhs, varconstant + consdata->vbdcoef * vbdvarconstant) );
3154  *cutoff = *cutoff || !( SCIPisInfinity(scip, consdata->rhs) || SCIPisFeasGE(scip, consdata->rhs, varconstant + consdata->vbdcoef * vbdvarconstant) );
3155  if( !*cutoff)
3156  redundant = TRUE;
3157  }
3158  /* cannot change bounds on multi-aggregated variables */
3159  else if( SCIPvarGetStatus(vbdvar) != SCIP_VARSTATUS_MULTAGGR )
3160  {
3161  assert( consdata->vbdcoef != 0.0 );
3162  assert( vbdvarscalar != 0.0 );
3163 
3164  /* x is fixed to varconstant: update bounds of y and delete the variable bound constraint */
3165  if( !SCIPisInfinity(scip, -consdata->lhs) && !(*cutoff) )
3166  {
3167  if( consdata->vbdcoef > 0.0 )
3168  {
3169  SCIP_Bool tightened;
3170 
3171  SCIP_CALL( SCIPtightenVarLb(scip, consdata->vbdvar, (consdata->lhs - varconstant)/consdata->vbdcoef,
3172  TRUE, cutoff, &tightened) );
3173  if( tightened )
3174  {
3175  SCIPdebugMsg(scip, " -> tightened lower bound: <%s> >= %.15g\n", SCIPvarGetName(consdata->vbdvar), SCIPvarGetLbGlobal(consdata->vbdvar));
3176  (*nchgbds)++;
3177  }
3178  }
3179  else
3180  {
3181  SCIP_Bool tightened;
3182 
3183  SCIP_CALL( SCIPtightenVarUb(scip, consdata->vbdvar, (consdata->lhs - varconstant)/consdata->vbdcoef,
3184  TRUE, cutoff, &tightened) );
3185  if( tightened )
3186  {
3187  SCIPdebugMsg(scip, " -> tightened upper bound: <%s> <= %.15g\n", SCIPvarGetName(consdata->vbdvar), SCIPvarGetUbGlobal(consdata->vbdvar));
3188  (*nchgbds)++;
3189  }
3190  }
3191  }
3192  if( !SCIPisInfinity(scip, consdata->rhs) && !(*cutoff) )
3193  {
3194  if( consdata->vbdcoef > 0.0 )
3195  {
3196  SCIP_Bool tightened;
3197 
3198  SCIP_CALL( SCIPtightenVarUb(scip, consdata->vbdvar, (consdata->rhs - varconstant)/consdata->vbdcoef,
3199  TRUE, cutoff, &tightened) );
3200  if( tightened )
3201  {
3202  SCIPdebugMsg(scip, " -> tightened upper bound: <%s> <= %.15g\n", SCIPvarGetName(consdata->vbdvar), SCIPvarGetUbGlobal(consdata->vbdvar));
3203  (*nchgbds)++;
3204  }
3205  }
3206  else
3207  {
3208  SCIP_Bool tightened;
3209 
3210  SCIP_CALL( SCIPtightenVarLb(scip, consdata->vbdvar, (consdata->rhs - varconstant)/consdata->vbdcoef,
3211  TRUE, cutoff, &tightened) );
3212  if( tightened )
3213  {
3214  SCIPdebugMsg(scip, " -> tightened lower bound: <%s> >= %.15g\n", SCIPvarGetName(consdata->vbdvar), SCIPvarGetLbGlobal(consdata->vbdvar));
3215  (*nchgbds)++;
3216  }
3217  }
3218  }
3219  redundant = TRUE;
3220  }
3221  }
3222  else if( var != consdata->var )
3223  {
3224  /* release and unlock old variable */
3225  SCIP_CALL( SCIPunlockVarCons(scip, consdata->var, cons, !SCIPisInfinity(scip, -consdata->lhs),
3226  !SCIPisInfinity(scip, consdata->rhs)) );
3227  SCIP_CALL( SCIPreleaseVar(scip, &(consdata->var)) );
3228 
3229  /* unlock vbdvar, because we possibly change lhs/rhs/vbdcoef */
3230  if( consdata->vbdcoef > 0.0 )
3231  {
3232  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, -consdata->lhs),
3233  !SCIPisInfinity(scip, consdata->rhs)) );
3234  }
3235  else
3236  {
3237  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, consdata->rhs),
3238  !SCIPisInfinity(scip, -consdata->lhs)) );
3239  }
3240 
3241  /* replace aggregated variable x in the constraint by its aggregation */
3242  if( varscalar > 0.0 )
3243  {
3244  /* lhs := (lhs - varconstant) / varscalar
3245  * rhs := (rhs - varconstant) / varscalar
3246  * c := c / varscalar
3247  */
3248  if( !SCIPisInfinity(scip, -consdata->lhs) )
3249  consdata->lhs = (consdata->lhs - varconstant)/varscalar;
3250  if( !SCIPisInfinity(scip, consdata->rhs) )
3251  consdata->rhs = (consdata->rhs - varconstant)/varscalar;
3252  consdata->vbdcoef /= varscalar;
3253 
3254  /* try to avoid numerical troubles */
3255  if( SCIPisIntegral(scip, consdata->vbdcoef) )
3256  consdata->vbdcoef = SCIPround(scip, consdata->vbdcoef);
3257 
3258  consdata->tightened = FALSE;
3259  }
3260  else
3261  {
3262  SCIP_Real lhs;
3263 
3264  assert(varscalar != 0.0);
3265 
3266  /* lhs := (rhs - varconstant) / varscalar
3267  * rhs := (lhs - varconstant) / varscalar
3268  * c := c / varscalar
3269  */
3270  lhs = consdata->lhs;
3271  consdata->lhs = -consdata->rhs;
3272  consdata->rhs = -lhs;
3273  if( !SCIPisInfinity(scip, -consdata->lhs) )
3274  consdata->lhs = (consdata->lhs + varconstant)/(-varscalar);
3275  if( !SCIPisInfinity(scip, consdata->rhs) )
3276  consdata->rhs = (consdata->rhs + varconstant)/(-varscalar);
3277  consdata->vbdcoef /= varscalar;
3278 
3279  /* try to avoid numerical troubles */
3280  if( SCIPisIntegral(scip, consdata->vbdcoef) )
3281  consdata->vbdcoef = SCIPround(scip, consdata->vbdcoef);
3282 
3283  consdata->tightened = FALSE;
3284  }
3285 
3286  consdata->var = var;
3287 
3288  /* capture and lock new variable */
3289  SCIP_CALL( SCIPcaptureVar(scip, consdata->var) );
3290  SCIP_CALL( SCIPlockVarCons(scip, consdata->var, cons, !SCIPisInfinity(scip, -consdata->lhs),
3291  !SCIPisInfinity(scip, consdata->rhs)) );
3292 
3293  /* lock vbdvar */
3294  if( consdata->vbdcoef > 0.0 )
3295  {
3296  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, -consdata->lhs),
3297  !SCIPisInfinity(scip, consdata->rhs)) );
3298  }
3299  else
3300  {
3301  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, consdata->rhs),
3302  !SCIPisInfinity(scip, -consdata->lhs)) );
3303  }
3304  }
3305 
3306  /* apply aggregation on y */
3307  if( SCIPisZero(scip, consdata->vbdcoef * vbdvarscalar) )
3308  {
3309  SCIPdebugMsg(scip, "variable bound constraint <%s>: vbd variable <%s> is fixed to %.15g\n",
3310  SCIPconsGetName(cons), SCIPvarGetName(consdata->vbdvar), vbdvarconstant);
3311 
3312  /* cannot change bounds on multi-aggregated variables */
3313  if( !(*cutoff) && !redundant && SCIPvarGetStatus(var) != SCIP_VARSTATUS_MULTAGGR )
3314  {
3315  assert( SCIPvarGetStatus(var) != SCIP_VARSTATUS_FIXED );
3316  assert( !SCIPisZero(scip, varscalar) );
3317 
3318  /* y is fixed to vbdvarconstant: update bounds of x and delete the variable bound constraint */
3319  if( !SCIPisInfinity(scip, -consdata->lhs) )
3320  {
3321  SCIP_Bool tightened;
3322 
3323  SCIP_CALL( SCIPtightenVarLb(scip, consdata->var, consdata->lhs - consdata->vbdcoef * vbdvarconstant,
3324  TRUE, cutoff, &tightened) );
3325  if( tightened )
3326  {
3327  SCIPdebugMsg(scip, " -> tightened lower bound: <%s> >= %.15g\n", SCIPvarGetName(consdata->var), SCIPvarGetLbGlobal(consdata->var));
3328  (*nchgbds)++;
3329  }
3330  }
3331  if( !SCIPisInfinity(scip, consdata->rhs) )
3332  {
3333  SCIP_Bool tightened;
3334 
3335  SCIP_CALL( SCIPtightenVarUb(scip, consdata->var, consdata->rhs - consdata->vbdcoef * vbdvarconstant,
3336  TRUE, cutoff, &tightened) );
3337  if( tightened )
3338  {
3339  SCIPdebugMsg(scip, " -> tightened upper bound: <%s> <= %.15g\n", SCIPvarGetName(consdata->var), SCIPvarGetUbGlobal(consdata->var));
3340  (*nchgbds)++;
3341  }
3342  }
3343  redundant = TRUE;
3344  }
3345  }
3346  else if( vbdvar != consdata->vbdvar )
3347  {
3348  /* release and unlock old variable */
3349  if( consdata->vbdcoef > 0.0 )
3350  {
3351  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, -consdata->lhs),
3352  !SCIPisInfinity(scip, consdata->rhs)) );
3353  }
3354  else
3355  {
3356  SCIP_CALL( SCIPunlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, consdata->rhs),
3357  !SCIPisInfinity(scip, -consdata->lhs)) );
3358  }
3359  SCIP_CALL( SCIPreleaseVar(scip, &(consdata->vbdvar)) );
3360 
3361  /* also unlock var, because we possibly change lhs/rhs/vbdcoef */
3362  SCIP_CALL( SCIPunlockVarCons(scip, consdata->var, cons, !SCIPisInfinity(scip, -consdata->lhs),
3363  !SCIPisInfinity(scip, consdata->rhs)) );
3364 
3365  /* replace aggregated variable y in the constraint by its aggregation:
3366  * lhs := lhs - c * vbdvarconstant
3367  * rhs := rhs - c * vbdvarconstant
3368  * c := c * vbdvarscalar
3369  */
3370  if( !SCIPisInfinity(scip, -consdata->lhs) )
3371  consdata->lhs -= consdata->vbdcoef * vbdvarconstant;
3372  if( !SCIPisInfinity(scip, consdata->rhs) )
3373  consdata->rhs -= consdata->vbdcoef * vbdvarconstant;
3374 
3375  consdata->tightened = FALSE;
3376  consdata->vbdcoef *= vbdvarscalar;
3377  consdata->vbdvar = vbdvar;
3378 
3379  /* capture and lock new variable */
3380  SCIP_CALL( SCIPcaptureVar(scip, consdata->vbdvar) );
3381  if( consdata->vbdcoef > 0.0 )
3382  {
3383  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, -consdata->lhs),
3384  !SCIPisInfinity(scip, consdata->rhs)) );
3385  }
3386  else
3387  {
3388  SCIP_CALL( SCIPlockVarCons(scip, consdata->vbdvar, cons, !SCIPisInfinity(scip, consdata->rhs),
3389  !SCIPisInfinity(scip, -consdata->lhs)) );
3390  }
3391  SCIP_CALL( SCIPlockVarCons(scip, consdata->var, cons, !SCIPisInfinity(scip, -consdata->lhs),
3392  !SCIPisInfinity(scip, consdata->rhs)) );
3393  }
3394 
3395  /* catch the events again on the new variables */
3396  if( varschanged )
3397  {
3398  SCIP_CALL( catchEvents(scip, cons, eventhdlr) );
3399  }
3400  }
3401 
3402  /* mark constraint changed, if a variable was exchanged */
3403  if( varschanged )
3404  {
3405  consdata->changed = TRUE;
3406  }
3407 
3408  /* active multi aggregations are now resolved by creating a new linear constraint */
3409  if( !(*cutoff) && !redundant && (SCIPvarGetStatus(var) == SCIP_VARSTATUS_MULTAGGR || SCIPvarGetStatus(vbdvar) == SCIP_VARSTATUS_MULTAGGR) )
3410  {
3411  SCIP_CONS* newcons;
3412  SCIP_Real lhs;
3413  SCIP_Real rhs;
3414 
3415  lhs = consdata->lhs;
3416  rhs = consdata->rhs;
3417 
3418  /* create upgraded linear constraint */
3419  SCIP_CALL( SCIPcreateConsLinear(scip, &newcons, SCIPconsGetName(cons), 0, NULL, NULL, lhs, rhs,
3424 
3425  /* if var was fixed, then the case that vbdvar was multi-aggregated, was not yet resolved */
3426  if( var != consdata->var )
3427  {
3428  assert(SCIPvarGetStatus(vbdvar) == SCIP_VARSTATUS_MULTAGGR);
3429  assert(SCIPisZero(scip, varscalar)); /* this means that var was fixed */
3430 
3431  /* add offset that results from the fixed variable */
3432  if( ! SCIPisZero(scip, varconstant) )
3433  {
3434  if( !SCIPisInfinity(scip, rhs) )
3435  {
3436  SCIP_CALL( SCIPchgRhsLinear(scip, newcons, rhs - varconstant) );
3437  }
3438  if( !SCIPisInfinity(scip, -lhs) )
3439  {
3440  SCIP_CALL( SCIPchgLhsLinear(scip, newcons, lhs - varconstant) );
3441  }
3442  }
3443  }
3444  else
3445  {
3446  assert(var == consdata->var);
3447 
3448  SCIP_CALL( SCIPaddCoefLinear(scip, newcons, consdata->var, 1.0) );
3449  }
3450 
3451  /* if vbdvar was fixed, then the case that var was multi-aggregated, was not yet resolved */
3452  if( vbdvar != consdata->vbdvar )
3453  {
3454  assert(SCIPvarGetStatus(var) == SCIP_VARSTATUS_MULTAGGR);
3455  assert(SCIPisZero(scip, vbdvarscalar)); /* this means that var was fixed */
3456 
3457  /* add offset that results from the fixed variable */
3458  if( ! SCIPisZero(scip, vbdvarconstant) )
3459  {
3460  if( !SCIPisInfinity(scip, rhs) )
3461  {
3462  SCIP_CALL( SCIPchgRhsLinear(scip, newcons, rhs - consdata->vbdcoef * vbdvarconstant) );
3463  }
3464  if( !SCIPisInfinity(scip, -lhs) )
3465  {
3466  SCIP_CALL( SCIPchgLhsLinear(scip, newcons, lhs - consdata->vbdcoef * vbdvarconstant) );
3467  }
3468  }
3469  }
3470  else
3471  {
3472  assert(vbdvar == consdata->vbdvar);
3473 
3474  SCIP_CALL( SCIPaddCoefLinear(scip, newcons, consdata->vbdvar, consdata->vbdcoef) );
3475  }
3476 
3477  SCIP_CALL( SCIPaddCons(scip, newcons) );
3478 
3479  SCIPdebugMsg(scip, "resolved multi aggregation in varbound constraint <%s> by creating a new linear constraint\n", SCIPconsGetName(cons));
3480  SCIPdebugPrintCons(scip, newcons, NULL);
3481 
3482  SCIP_CALL( SCIPreleaseCons(scip, &newcons) );
3483 
3484  redundant = TRUE;
3485  ++(*naddconss);
3486  }
3487 
3488  /* delete a redundant constraint */
3489  if( !(*cutoff) && redundant )
3490  {
3491  SCIPdebugMsg(scip, " -> variable bound constraint <%s> is redundant\n", SCIPconsGetName(cons));
3492  SCIP_CALL( SCIPdelCons(scip, cons) );
3493  (*ndelconss)++;
3494  }
3495 
3496  return SCIP_OKAY;
3497 }
3498 
3499 /** tightens variable bound coefficient by inspecting the global bounds of the involved variables; note: this is also
3500  * performed by the linear constraint handler - only necessary if the user directly creates variable bound constraints
3501  */
3502 static
3504  SCIP* scip, /**< SCIP data structure */
3505  SCIP_CONS* cons, /**< variable bound constraint */
3506  int* nchgcoefs, /**< pointer to count the number of changed coefficients */
3507  int* nchgsides, /**< pointer to count the number of left and right hand sides */
3508  int* ndelconss, /**< pointer to count number of deleted constraints */
3509  SCIP_Bool* cutoff, /**< pointer to store whether the node can be cut off */
3510  int* nchgbds /**< pointer to count number of bound changes */
3511  )
3512 {
3513  SCIP_CONSDATA* consdata;
3514  SCIP_Real xlb;
3515  SCIP_Real xub;
3516  SCIP_Real oldcoef;
3517  int oldnchgcoefs;
3518  int oldnchgsides;
3519 
3520  assert(nchgcoefs != NULL);
3521  assert(nchgsides != NULL);
3522  assert(ndelconss != NULL);
3523 
3524  consdata = SCIPconsGetData(cons);
3525  assert(consdata != NULL);
3526 
3527  /* tightening already done */
3528  if( consdata->tightened )
3529  return SCIP_OKAY;
3530 
3531  SCIPdebugMsg(scip, "tightening coefficients on variable bound constraint <%s>\n", SCIPconsGetName(cons));
3532 
3533  consdata->tightened = TRUE;
3534 
3535  /* if values and variable are integral the sides should it be too */
3536  if( SCIPvarGetType(consdata->var) <= SCIP_VARTYPE_IMPLINT
3537  && SCIPvarGetType(consdata->vbdvar) <= SCIP_VARTYPE_IMPLINT
3538  && SCIPisIntegral(scip, consdata->vbdcoef) )
3539  {
3540  if( !SCIPisIntegral(scip, consdata->lhs) )
3541  {
3542  consdata->lhs = SCIPfeasCeil(scip, consdata->lhs);
3543  ++(*nchgsides);
3544  consdata->changed = TRUE;
3545  }
3546  if( !SCIPisIntegral(scip, consdata->rhs) )
3547  {
3548  consdata->rhs = SCIPfeasFloor(scip, consdata->rhs);
3549  ++(*nchgsides);
3550  consdata->changed = TRUE;
3551  }
3552  }
3553 
3554  /* coefficient tightening only works for binary bound variable */
3555  if( !SCIPvarIsBinary(consdata->vbdvar) )
3556  return SCIP_OKAY;
3557 
3558  oldnchgcoefs = *nchgcoefs;
3559  oldnchgsides = *nchgsides;
3560  oldcoef = consdata->vbdcoef;
3561 
3562  /* coefficients tightening when all variables are integer */
3563  /* we consider the following varbound constraint: lhs <= x + b*y <= rhs (sides are possibly infinity)
3564  * y should always be binary and x of integral type and b not integral, we also need at least one side with infinity
3565  * or not integral value.
3566  *
3567  * 1. if( (lhs is integral and not -infinity) and ((rhs is infinity) or (b - floor(b) <= rhs - floor(rhs))) ):
3568  *
3569  * lhs <= x + b*y <= rhs => lhs <= x + floor(b)*y <= floor(rhs)
3570  *
3571  * 2. if( (rhs is integral and not infinity) and ((lhs is -infinity) or (b - floor(b) >= lhs - floor(lhs))) ):
3572  *
3573  * lhs <= x + b*y <= rhs => ceil(lhs) <= x + ceil(b)*y <= rhs
3574  *
3575  * 3. if( ((lhs is -infinity) or (b - floor(b) >= lhs - floor(lhs)))
3576  * and ((rhs is infinity) or (b - floor(b) > rhs - floor(rhs))) ):
3577  *
3578  * lhs <= x + b*y <= rhs => ceil(lhs) <= x + ceil(b)*y <= floor(rhs)
3579  *
3580  * 4. if( ((lhs is -infinity) or (b - floor(b) < lhs - floor(lhs)))
3581  * and ((rhs is infinity) or (b - floor(b) <= rhs - floor(rhs))) ):
3582  *
3583  * lhs <= x + b*y <= rhs => ceil(lhs) <= x + floor(b)*y <= floor(rhs)
3584  *
3585  * 5. if( (lhs is not integral) or (rhs is not integral) )
3586  *
3587  * if (lhs is not -infinity)
3588  * if (b - floor(b) < lhs - floor(lhs)):
3589  *
3590  * lhs <= x + b*y => ceil(lhs) <= x + b*y
3591  *
3592  * else if (b - floor(b) > lhs - floor(lhs)):
3593  *
3594  * lhs <= x + b*y => floor(lhs) + b - floor(b) <= x + b*y
3595  *
3596  * if (rhs is not infinity)
3597  * if (b - floor(b) < rhs - floor(rhs)):
3598  *
3599  * x + b*y <= rhs => x + b*y <= floor(rhs) + b - floor(b)
3600  *
3601  * else if (b - floor(b) > rhs - floor(rhs)):
3602  *
3603  * x + b*y <= rhs => x + b*y <= floor(rhs)
3604  */
3605  if( (SCIPvarGetType(consdata->var) == SCIP_VARTYPE_INTEGER || SCIPvarGetType(consdata->var) == SCIP_VARTYPE_IMPLINT || SCIPvarGetType(consdata->var) == SCIP_VARTYPE_BINARY)
3606  && !SCIPisIntegral(scip, consdata->vbdcoef)
3607  && (!SCIPisIntegral(scip, consdata->lhs) || SCIPisInfinity(scip, -consdata->lhs)
3608  || !SCIPisIntegral(scip, consdata->rhs) || SCIPisInfinity(scip, consdata->rhs)) )
3609  {
3610  /* infinity should be an integral value */
3611  assert(!SCIPisInfinity(scip, -consdata->lhs) || SCIPisIntegral(scip, consdata->lhs));
3612  assert(!SCIPisInfinity(scip, consdata->rhs) || SCIPisIntegral(scip, consdata->rhs));
3613 
3614  /* should not be a redundant constraint */
3615  assert(!SCIPisInfinity(scip, consdata->rhs) || !SCIPisInfinity(scip, -consdata->lhs));
3616 
3617  /* case 1 */
3618  if( SCIPisIntegral(scip, consdata->lhs) && !SCIPisInfinity(scip, -consdata->lhs) &&
3619  (SCIPisInfinity(scip, consdata->rhs) || SCIPisFeasLE(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->rhs - SCIPfeasFloor(scip, consdata->rhs))) )
3620  {
3621  consdata->vbdcoef = SCIPfeasFloor(scip, consdata->vbdcoef);
3622  ++(*nchgcoefs);
3623 
3624  if( !SCIPisInfinity(scip, consdata->rhs) )
3625  {
3626  consdata->rhs = SCIPfeasFloor(scip, consdata->rhs);
3627  ++(*nchgsides);
3628  }
3629  }
3630  /* case 2 */
3631  else if( SCIPisIntegral(scip, consdata->rhs) && !SCIPisInfinity(scip, consdata->rhs) &&
3632  (SCIPisInfinity(scip, -consdata->lhs) || SCIPisFeasGE(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->lhs - SCIPfeasFloor(scip, consdata->lhs))) )
3633  {
3634  consdata->vbdcoef = SCIPfeasCeil(scip, consdata->vbdcoef);
3635  ++(*nchgcoefs);
3636 
3637  if( !SCIPisInfinity(scip, -consdata->lhs) )
3638  {
3639  if( !SCIPisIntegral(scip, consdata->lhs) )
3640  ++(*nchgsides);
3641 
3642  consdata->lhs = SCIPfeasCeil(scip, consdata->lhs);
3643  }
3644  }
3645  /* case 3 */
3646  else if( (SCIPisInfinity(scip, -consdata->lhs) || SCIPisFeasGE(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->lhs - SCIPfeasFloor(scip, consdata->lhs))) && (SCIPisInfinity(scip, consdata->rhs) || SCIPisFeasGT(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->rhs - SCIPfeasFloor(scip, consdata->rhs))) )
3647  {
3648  consdata->vbdcoef = SCIPfeasCeil(scip, consdata->vbdcoef);
3649  ++(*nchgcoefs);
3650 
3651  if( !SCIPisInfinity(scip, -consdata->lhs) )
3652  {
3653  if( !SCIPisIntegral(scip, consdata->lhs) )
3654  ++(*nchgsides);
3655 
3656  consdata->lhs = SCIPfeasCeil(scip, consdata->lhs);
3657  }
3658  if( !SCIPisInfinity(scip, consdata->rhs) )
3659  {
3660  if( !SCIPisIntegral(scip, consdata->rhs) )
3661  ++(*nchgsides);
3662 
3663  consdata->rhs = SCIPfeasFloor(scip, consdata->rhs);
3664  }
3665  }
3666  /* case 4 */
3667  else if( (SCIPisInfinity(scip, -consdata->lhs) || SCIPisFeasLT(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->lhs - SCIPfeasFloor(scip, consdata->lhs))) && (SCIPisInfinity(scip, consdata->rhs) || SCIPisFeasLE(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->rhs - SCIPfeasFloor(scip, consdata->rhs))) )
3668  {
3669  consdata->vbdcoef = SCIPfeasFloor(scip, consdata->vbdcoef);
3670  ++(*nchgcoefs);
3671 
3672  if( !SCIPisInfinity(scip, -consdata->lhs) )
3673  {
3674  if( !SCIPisIntegral(scip, consdata->lhs) )
3675  ++(*nchgsides);
3676 
3677  consdata->lhs = SCIPfeasCeil(scip, consdata->lhs);
3678  }
3679  if( !SCIPisInfinity(scip, consdata->rhs) )
3680  {
3681  if( !SCIPisIntegral(scip, consdata->rhs) )
3682  ++(*nchgsides);
3683 
3684  consdata->rhs = SCIPfeasFloor(scip, consdata->rhs);
3685  }
3686  }
3687  /* case 5 */
3688  if( !SCIPisFeasIntegral(scip, consdata->lhs) || !SCIPisFeasIntegral(scip, consdata->rhs) )
3689  {
3690  if( !SCIPisInfinity(scip, -consdata->lhs) )
3691  {
3692  if( SCIPisFeasLT(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->lhs - SCIPfeasFloor(scip, consdata->lhs)) )
3693  {
3694  consdata->lhs = SCIPfeasCeil(scip, consdata->lhs);
3695  ++(*nchgsides);
3696  }
3697  else if( SCIPisFeasGT(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->lhs - SCIPfeasFloor(scip, consdata->lhs)) )
3698  {
3699  consdata->lhs = SCIPfeasFloor(scip, consdata->lhs) + (consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef));
3700  ++(*nchgsides);
3701  }
3702  }
3703  if( !SCIPisInfinity(scip, consdata->rhs) )
3704  {
3705  if( SCIPisFeasLT(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->rhs - SCIPfeasFloor(scip, consdata->rhs)) )
3706  {
3707  consdata->rhs = SCIPfeasFloor(scip, consdata->rhs) + (consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef));
3708  ++(*nchgsides);
3709  }
3710  else if( SCIPisFeasGT(scip, consdata->vbdcoef - SCIPfeasFloor(scip, consdata->vbdcoef), consdata->rhs - SCIPfeasFloor(scip, consdata->rhs)) )
3711  {
3712  consdata->rhs = SCIPfeasFloor(scip, consdata->rhs);
3713  ++(*nchgsides);
3714  }
3715  }
3716  }
3717  }
3718 
3719  /* check if due to tightening the constraint got redundant */
3720  if( SCIPisZero(scip, consdata->vbdcoef) )
3721  {
3722  /* we have to make sure that the induced bound(s) is (are) actually applied;
3723  * if the relative change is too small, this may have been skipped in propagation
3724  */
3725  if( SCIPisLT(scip, SCIPvarGetLbGlobal(consdata->var), consdata->lhs) )
3726  {
3727  SCIP_Bool tightened;
3728 
3729  SCIP_CALL( SCIPtightenVarLbGlobal(scip, consdata->var, consdata->lhs, TRUE, cutoff, &tightened) );
3730 
3731  if( tightened )
3732  {
3733  SCIPdebugMsg(scip, " -> tighten domain of <%s> to [%.15g,%.15g]\n", SCIPvarGetName(consdata->var),
3734  SCIPvarGetLbGlobal(consdata->var), SCIPvarGetUbGlobal(consdata->var));
3735  (*nchgbds)++;
3736  }
3737  }
3738  if( SCIPisGT(scip, SCIPvarGetUbGlobal(consdata->var), consdata->rhs) )
3739  {
3740  SCIP_Bool tightened;
3741 
3742  SCIP_CALL( SCIPtightenVarUbGlobal(scip, consdata->var, consdata->rhs, TRUE, cutoff, &tightened) );
3743 
3744  if( tightened )
3745  {
3746  SCIPdebugMsg(scip, " -> tighten domain of <%s> to [%.15g,%.15g]\n", SCIPvarGetName(consdata->var),
3747  SCIPvarGetLbGlobal(consdata->var), SCIPvarGetUbGlobal(consdata->var));
3748  (*nchgbds)++;
3749  }
3750  }
3751 
3752  SCIPdebugMsg(scip, " -> variable bound constraint <%s> is redundant\n", SCIPconsGetName(cons));
3753 
3754  /* in order to correctly update the rounding locks, we need the coefficient to have the same sign as before the
3755  * coefficient tightening
3756  */
3757  consdata->vbdcoef = oldcoef;
3758 
3759  SCIP_CALL( SCIPdelCons(scip, cons) );
3760  ++(*ndelconss);
3761 
3762  return SCIP_OKAY;
3763  }
3764 
3765  /* get bounds of variable x */
3766  xlb = SCIPvarGetLbGlobal(consdata->var);
3767  xub = SCIPvarGetUbGlobal(consdata->var);
3768 
3769  /* it can happen that var is not of varstatus SCIP_VARSTATUS_FIXED but the bounds are equal, in this case we need to
3770  * stop
3771  */
3772  if( SCIPisEQ(scip, xlb, xub) )
3773  return SCIP_OKAY;
3774 
3775  /* modification of coefficient checking for slack in constraints */
3776  if( !SCIPisInfinity(scip, -consdata->lhs) && !SCIPisInfinity(scip, consdata->rhs) )
3777  {
3778  /* lhs <= x + c*y <= rhs => lhs - c*y <= x <= rhs - c*y */
3779  if( consdata->vbdcoef > 0.0 && SCIPisFeasGT(scip, xlb, consdata->lhs - consdata->vbdcoef) && SCIPisFeasLT(scip, xub, consdata->rhs) )
3780  {
3781  SCIP_Real newcoef;
3782  SCIP_Real newrhs;
3783  SCIP_Real oldrhs;
3784 
3785  oldrhs = consdata->rhs;
3786 
3787  /* constraint has positive slack for both non-restricting cases y = 0, or y = 1, respectively
3788  * -> modify coefficients such that constraint is tight in at least one of the non-restricting cases
3789  * -> c' = MAX(c - rhs + xub, lhs - xlb), rhs' = rhs - c + c'
3790  */
3791  newcoef = MAX(consdata->vbdcoef - consdata->rhs + xub, consdata->lhs - xlb);
3792 
3793  /* in this case both sides are redundant and the constraint can be removed */
3794  if( SCIPisLE(scip, newcoef, 0.0) )
3795  {
3796  assert(SCIPisFeasGE(scip, xlb, consdata->lhs) && SCIPisFeasGE(scip, xlb + consdata->vbdcoef, consdata->lhs));
3797  assert(SCIPisFeasLE(scip, xub, consdata->rhs) && SCIPisFeasLE(scip, xub + consdata->vbdcoef, consdata->rhs));
3798 
3799  SCIPdebugMsg(scip, "delete cons <%s>\n", SCIPconsGetName(cons));
3800  SCIP_CALL( SCIPdelCons(scip, cons) );
3801  ++(*ndelconss);
3802  }
3803  else
3804  {
3805  newrhs = consdata->rhs - consdata->vbdcoef + newcoef;
3806 
3807  SCIPdebugMsg(scip,
3808  "tighten varbound %.15g <= <%s>[%.15g,%.15g] %+.15g<%s> <= %.15g to %.15g <= <%s> %+.15g<%s> <= %.15g\n",
3809  consdata->lhs, SCIPvarGetName(consdata->var), xlb, xub, consdata->vbdcoef,
3810  SCIPvarGetName(consdata->vbdvar), consdata->rhs,
3811  consdata->lhs, SCIPvarGetName(consdata->var), newcoef, SCIPvarGetName(consdata->vbdvar),
3812  newrhs);
3813 
3814  /* we cannot allow that the coefficient changes the sign because of the rounding locks */
3815  assert(consdata->vbdcoef * newcoef > 0);
3816 
3817  consdata->vbdcoef = newcoef;
3818  consdata->rhs = MAX(newrhs, consdata->lhs);
3819  (*nchgcoefs)++;
3820  (*nchgsides)++;
3821 
3822  /* some of the cases 1. to 5. might be applicable after changing the rhs to an integral value; one example is
3823  * the varbound constraint 0.225 <= x - 1.225 y <= 0.775 for which none of the above cases apply but after
3824  * tightening the lhs to 0.0 it is possible to reduce the rhs by applying the 1. reduction
3825  */
3826  if( !SCIPisFeasIntegral(scip, oldrhs) && SCIPisFeasIntegral(scip, newrhs))
3827  {
3828  consdata->tightened = FALSE;
3829  SCIP_CALL(tightenCoefs(scip, cons, nchgcoefs, nchgsides, ndelconss, cutoff, nchgbds));
3830  assert(consdata->tightened);
3831  }
3832  else
3833  consdata->tightened = (SCIPisIntegral(scip, consdata->vbdcoef) && SCIPisIntegral(scip, consdata->rhs));
3834  }
3835  }
3836  else if( consdata->vbdcoef < 0.0 && SCIPisFeasGT(scip, xlb, consdata->lhs) && SCIPisFeasLT(scip, xub, consdata->rhs - consdata->vbdcoef) )
3837  {
3838  SCIP_Real newcoef;
3839  SCIP_Real newlhs;
3840  SCIP_Real oldlhs;
3841 
3842  oldlhs = consdata->lhs;
3843 
3844  /* constraint has positive slack for both non-restricting cases y = 0, or y = 1, respectively
3845  * -> modify coefficients such that constraint is tight in at least one of the non-restricting cases
3846  * -> c' = MIN(c - lhs + xlb, rhs - xub), lhs' = lhs - c + c'
3847  */
3848  newcoef = MIN(consdata->vbdcoef - consdata->lhs + xlb, consdata->rhs - xub);
3849 
3850  /* in this case both sides are redundant and the constraint can be removed */
3851  if( SCIPisGE(scip, newcoef, 0.0) )
3852  {
3853  assert(SCIPisFeasGE(scip, xlb, consdata->lhs) && SCIPisFeasGE(scip, xlb + consdata->vbdcoef, consdata->lhs));
3854  assert(SCIPisFeasLE(scip, xub, consdata->rhs) && SCIPisFeasLE(scip, xub + consdata->vbdcoef, consdata->rhs));
3855 
3856  SCIPdebugMsg(scip, "delete cons <%s>\n", SCIPconsGetName(cons));
3857  SCIP_CALL( SCIPdelCons(scip, cons) );
3858  ++(*ndelconss);
3859  }
3860  else
3861  {
3862  newlhs = consdata->lhs - consdata->vbdcoef + newcoef;
3863 
3864  SCIPdebugMsg(scip,
3865  "tighten varbound %.15g <= <%s>[%.15g,%.15g] %+.15g<%s> <= %.15g to %.15g <= <%s> %+.15g<%s> <= %.15g\n",
3866  consdata->lhs, SCIPvarGetName(consdata->var), xlb, xub, consdata->vbdcoef,
3867  SCIPvarGetName(consdata->vbdvar), consdata->rhs,
3868  newlhs, SCIPvarGetName(consdata->var), newcoef, SCIPvarGetName(consdata->vbdvar),
3869  consdata->rhs);
3870 
3871  /* we cannot allow that the coefficient changes the sign because of the rounding locks */
3872  assert(consdata->vbdcoef * newcoef > 0);
3873 
3874  consdata->vbdcoef = newcoef;
3875  consdata->lhs = MIN(newlhs, consdata->rhs);
3876  (*nchgcoefs)++;
3877  (*nchgsides)++;
3878 
3879  /* some of the cases 1. to 5. might be applicable after changing the rhs to an integral value; one example is
3880  * the varbound constraint 0.225 <= x - 1.225 y <= 0.775 for which none of the above cases apply but after
3881  * tightening the lhs to 0.0 it is possible to reduce the rhs by applying the 1. reduction
3882  */
3883  if( !SCIPisFeasIntegral(scip, oldlhs) && SCIPisFeasIntegral(scip, newlhs))
3884  {
3885  consdata->tightened = FALSE;
3886  SCIP_CALL(tightenCoefs(scip, cons, nchgcoefs, nchgsides, ndelconss, cutoff, nchgbds));
3887  assert(consdata->tightened);
3888  }
3889  else
3890  consdata->tightened = (SCIPisIntegral(scip, consdata->vbdcoef) && SCIPisIntegral(scip, consdata->lhs));
3891  }
3892  }
3893  }
3894  else if( !SCIPisInfinity(scip, -consdata->lhs) && SCIPisInfinity(scip, consdata->rhs) )
3895  {
3896  /* lhs <= x + c*y => x >= lhs - c*y */
3897  if( consdata->vbdcoef > 0.0 && SCIPisFeasGT(scip, xlb, consdata->lhs - consdata->vbdcoef) )
3898  {
3899  SCIP_Real newcoef;
3900 
3901  /* constraint has positive slack for the non-restricting case y = 1
3902  * -> modify coefficients such that constraint is tight in the non-restricting case y = 1 and equivalent in the restricting case y = 0
3903  * -> c' = lhs - xlb
3904  */
3905  newcoef = consdata->lhs - xlb;
3906 
3907  /* in this case the constraint is redundant and can be removed */
3908  if( SCIPisLE(scip, newcoef, 0.0) )
3909  {
3910  assert(SCIPisFeasGE(scip, xlb, consdata->lhs) && SCIPisFeasGE(scip, xlb + consdata->vbdcoef, consdata->lhs));
3911 
3912  SCIPdebugMsg(scip, "delete cons <%s>\n", SCIPconsGetName(cons));
3913  SCIP_CALL( SCIPdelCons(scip, cons) );
3914  ++(*ndelconss);
3915  }
3916  else
3917  {
3918  SCIPdebugMsg(scip, "tighten binary VLB <%s>[%.15g,%.15g] %+.15g<%s> >= %.15g to <%s> %+.15g<%s> >= %.15g\n",
3919  SCIPvarGetName(consdata->var), xlb, xub, consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar),
3920  consdata->lhs,
3921  SCIPvarGetName(consdata->var), consdata->lhs - xlb, SCIPvarGetName(consdata->vbdvar),
3922  consdata->lhs);
3923 
3924  /* we cannot allow that the coefficient changes the sign because of the rounding locks */
3925  assert(consdata->vbdcoef * newcoef > 0);
3926 
3927  consdata->vbdcoef = newcoef;
3928  (*nchgcoefs)++;
3929  }
3930  }
3931  else if( consdata->vbdcoef < 0.0 && SCIPisFeasGT(scip, xlb, consdata->lhs) )
3932  {
3933  SCIP_Real newcoef;
3934 
3935  /* constraint has positive slack for the non-restricting case y = 0
3936  * -> modify coefficients such that constraint is tight in the non-restricting case y = 0 and equivalent in the restricting case y = 1
3937  * -> c' = c - lhs + xlb, lhs' = xlb
3938  */
3939  newcoef = consdata->vbdcoef - consdata->lhs + xlb;
3940 
3941  /* in this case the constraint is redundant and can be removed */
3942  if( SCIPisGE(scip, newcoef, 0.0) )
3943  {
3944  assert(SCIPisFeasGE(scip, xlb, consdata->lhs) && SCIPisFeasGE(scip, xlb + consdata->vbdcoef, consdata->lhs));
3945 
3946  SCIPdebugMsg(scip, "delete cons <%s>\n", SCIPconsGetName(cons));
3947  SCIP_CALL( SCIPdelCons(scip, cons) );
3948  ++(*ndelconss);
3949  }
3950  else
3951  {
3952  SCIPdebugMsg(scip, "tighten binary VLB <%s>[%.15g,%.15g] %+.15g<%s> >= %.15g to <%s> %+.15g<%s> >= %.15g\n",
3953  SCIPvarGetName(consdata->var), xlb, xub, consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar),
3954  consdata->lhs,
3955  SCIPvarGetName(consdata->var), consdata->vbdcoef - consdata->lhs + xlb,
3956  SCIPvarGetName(consdata->vbdvar), xlb);
3957 
3958  /* we cannot allow that the coefficient changes the sign because of the rounding locks */
3959  assert(consdata->vbdcoef * newcoef > 0);
3960 
3961  consdata->vbdcoef = newcoef;
3962  consdata->lhs = xlb;
3963  (*nchgcoefs)++;
3964  (*nchgsides)++;
3965  }
3966  }
3967  }
3968  else if( SCIPisInfinity(scip, -consdata->lhs) && !SCIPisInfinity(scip, consdata->rhs) )
3969  {
3970  /* x + c*y <= rhs => x <= rhs - c*y */
3971  if( consdata->vbdcoef > 0.0 && SCIPisFeasLT(scip, xub, consdata->rhs) )
3972  {
3973  SCIP_Real newcoef;
3974 
3975  /* constraint has positive slack for the non-restricting case y = 0
3976  * -> modify coefficients such that constraint is tight in the non-restricting case y = 0 and equivalent in the restricting case y = 1
3977  * -> c' = c - rhs + xub, rhs' = xub
3978  */
3979  newcoef = consdata->vbdcoef - consdata->rhs + xub;
3980 
3981  /* in this case the constraint is redundant and can be removed */
3982  if( SCIPisLE(scip, newcoef, 0.0) )
3983  {
3984  assert(SCIPisFeasLE(scip, xub, consdata->rhs) && SCIPisFeasLE(scip, xub + consdata->vbdcoef, consdata->rhs));
3985 
3986  SCIPdebugMsg(scip, "delete cons <%s>\n", SCIPconsGetName(cons));
3987  SCIP_CALL( SCIPdelCons(scip, cons) );
3988  ++(*ndelconss);
3989  }
3990  else
3991  {
3992  SCIPdebugMsg(scip, "tighten binary VUB <%s>[%.15g,%.15g] %+.15g<%s> <= %.15g to <%s> %+.15g<%s> <= %.15g\n",
3993  SCIPvarGetName(consdata->var), xlb, xub, consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar),
3994  consdata->rhs,
3995  SCIPvarGetName(consdata->var), consdata->vbdcoef - consdata->rhs + xub,
3996  SCIPvarGetName(consdata->vbdvar), xub);
3997 
3998  /* we cannot allow that the coefficient changes the sign because of the rounding locks */
3999  assert(consdata->vbdcoef * newcoef > 0);
4000 
4001  consdata->vbdcoef = newcoef;
4002  consdata->rhs = xub;
4003  (*nchgcoefs)++;
4004  (*nchgsides)++;
4005  }
4006  }
4007  else if( consdata->vbdcoef < 0.0 && SCIPisFeasLT(scip, xub, consdata->rhs - consdata->vbdcoef) )
4008  {
4009  SCIP_Real newcoef;
4010 
4011  /* constraint has positive slack for the non-restricting case y = 1
4012  * -> modify coefficients such that constraint is tight in the non-restricting case y = 1 and equivalent in the restricting case y = 0
4013  * -> c' = rhs - xub
4014  */
4015  newcoef = consdata->rhs - xub;
4016 
4017  /* in this case the constraint is redundant and can be removed */
4018  if( SCIPisGE(scip, newcoef, 0.0) )
4019  {
4020  assert(SCIPisFeasLE(scip, xub, consdata->rhs) && SCIPisFeasLE(scip, xub + consdata->vbdcoef, consdata->rhs));
4021 
4022  SCIPdebugMsg(scip, "delete cons <%s>\n", SCIPconsGetName(cons));
4023  SCIP_CALL( SCIPdelCons(scip, cons) );
4024  ++(*ndelconss);
4025  }
4026  else
4027  {
4028  SCIPdebugMsg(scip, "tighten binary VUB <%s>[%.15g,%.15g] %+.15g<%s> <= %.15g to <%s> %+.15g<%s> <= %.15g\n",
4029  SCIPvarGetName(consdata->var), xlb, xub, consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar), consdata->rhs,
4030  SCIPvarGetName(consdata->var), consdata->rhs - xub, SCIPvarGetName(consdata->vbdvar), consdata->rhs);
4031 
4032  /* we cannot allow that the coefficient changes the sign because of the rounding locks */
4033  assert(consdata->vbdcoef * newcoef > 0);
4034 
4035  consdata->vbdcoef = newcoef;
4036  (*nchgcoefs)++;
4037  }
4038  }
4039  }
4040 
4041  /* if something a coefficient or side of the varbound constraint was changed, ensure that the variable lower or
4042  * upper bounds of the variables are informed
4043  */
4044  if( *nchgcoefs > oldnchgcoefs || *nchgsides > oldnchgsides )
4045  {
4046  consdata->varboundsadded = FALSE;
4047  consdata->changed = TRUE;
4048  }
4049 
4050  return SCIP_OKAY;
4051 }
4052 
4053 /** check if we can upgrade to a set-packing constraint */
4054 static
4056  SCIP* scip, /**< SCIP data structure */
4057  SCIP_CONSHDLRDATA* conshdlrdata, /**< constraint handler data */
4058  SCIP_CONS** conss, /**< constraint set */
4059  int nconss, /**< number of constraints in constraint set */
4060  SCIP_Bool* cutoff, /**< pointer to store whether the node can be cut off */
4061  int* naggrvars, /**< pointer to count the number of aggregated variables */
4062  int* nchgbds, /**< pointer to count number of bound changes */
4063  int* nchgcoefs, /**< pointer to count the number of changed coefficients */
4064  int* nchgsides, /**< pointer to count the number of left and right hand sides */
4065  int* ndelconss, /**< pointer to count the number of deleted constraints */
4066  int* naddconss /**< pointer to count the number of added constraints */
4067  )
4068 {
4069  SCIP_VAR* vars[2];
4070  SCIP_CONS* newcons;
4071  SCIP_CONS* cons;
4072  SCIP_CONSDATA* consdata;
4073  int c;
4074 
4075  assert(scip != NULL);
4076  assert(conshdlrdata != NULL);
4077  assert(conss != NULL || nconss == 0);
4078  assert(cutoff != NULL);
4079  assert(naggrvars != NULL);
4080  assert(nchgbds != NULL);
4081  assert(nchgcoefs != NULL);
4082  assert(nchgsides != NULL);
4083  assert(ndelconss != NULL);
4084  assert(naddconss != NULL);
4085 
4086  /* if we cannot find any constraint for upgrading, stop */
4087  if( SCIPgetNBinVars(scip) + SCIPgetNImplVars(scip) <= 1 )
4088  return SCIP_OKAY;
4089 
4090  if( nconss == 0 )
4091  return SCIP_OKAY;
4092 
4093  assert(conss != NULL);
4094 
4095  for( c = nconss - 1; c >= 0; --c )
4096  {
4097  cons = conss[c];
4098  assert(cons != NULL);
4099 
4100  if( !SCIPconsIsActive(cons) )
4101  continue;
4102 
4103  consdata = SCIPconsGetData(cons);
4104  assert(consdata != NULL);
4105  assert(SCIPisLE(scip, consdata->lhs, consdata->rhs));
4106 
4107  if( !consdata->presolved )
4108  {
4109  /* incorporate fixings and aggregations in constraint */
4110  SCIP_CALL( applyFixings(scip, cons, conshdlrdata->eventhdlr, cutoff, nchgbds, ndelconss, naddconss) );
4111 
4112  if( *cutoff )
4113  return SCIP_OKAY;
4114  if( !SCIPconsIsActive(cons) )
4115  continue;
4116  }
4117 
4118  if( SCIPconsIsMarkedPropagate(cons) )
4119  {
4120  /* propagate constraint */
4121  SCIP_CALL( propagateCons(scip, cons, conshdlrdata->usebdwidening, cutoff, nchgbds, nchgsides, ndelconss) );
4122 
4123  if( *cutoff )
4124  return SCIP_OKAY;
4125  if( !SCIPconsIsActive(cons) )
4126  continue;
4127  }
4128 
4129  if( !consdata->tightened )
4130  {
4131  /* tighten variable bound coefficient */
4132  SCIP_CALL( tightenCoefs(scip, cons, nchgcoefs, nchgsides, ndelconss, cutoff, nchgbds) );
4133 
4134  if( *cutoff )
4135  return SCIP_OKAY;
4136  if( !SCIPconsIsActive(cons) )
4137  continue;
4138 
4139  assert(SCIPisLE(scip, consdata->lhs, consdata->rhs));
4140  }
4141 
4142  /* check if both variables are of binary type */
4143  if( SCIPvarIsBinary(consdata->vbdvar) && SCIPvarIsBinary(consdata->var) )
4144  {
4145  /* coefficient and sides should be tightened and we assume that the constraint is not redundant */
4146  assert(SCIPisEQ(scip, REALABS(consdata->vbdcoef), 1.0));
4147  assert(SCIPisZero(scip, consdata->rhs) || SCIPisEQ(scip, consdata->rhs, 1.0) || SCIPisInfinity(scip, consdata->rhs));
4148  assert(SCIPisZero(scip, consdata->lhs) || SCIPisEQ(scip, consdata->lhs, 1.0) || SCIPisInfinity(scip, -consdata->lhs));
4149  assert(!SCIPisInfinity(scip, consdata->rhs) || !SCIPisInfinity(scip, -consdata->lhs));
4150 
4151  /* the case x + y <= 1 or x + y >= 1 */
4152  if( consdata->vbdcoef > 0.0 )
4153  {
4154  if( SCIPisEQ(scip, consdata->rhs, 1.0) )
4155  {
4156  /* check for aggregations like x + y == 1 */
4157  if( SCIPisEQ(scip, consdata->lhs, 1.0) )
4158  {
4159  SCIP_Bool infeasible;
4160  SCIP_Bool redundant;
4161  SCIP_Bool aggregated;
4162 
4163  SCIPdebugMsg(scip, "varbound constraint <%s>: aggregate <%s> + <%s> == 1\n",
4164  SCIPconsGetName(cons), SCIPvarGetName(consdata->var), SCIPvarGetName(consdata->vbdvar));
4165 
4166  /* aggregate both variables */
4167  SCIP_CALL( SCIPaggregateVars(scip, consdata->var, consdata->vbdvar, 1.0, 1.0, 1.0, &infeasible, &redundant, &aggregated) );
4168  assert(!infeasible);
4169  ++(*naggrvars);
4170 
4171  SCIP_CALL( SCIPdelCons(scip, cons) );
4172  ++(*ndelconss);
4173 
4174  continue;
4175  }
4176  assert(consdata->lhs < 0.5);
4177 
4178  vars[0] = consdata->var;
4179  vars[1] = consdata->vbdvar;
4180  }
4181  else
4182  {
4183  assert(SCIPisEQ(scip, consdata->lhs, 1.0));
4184 
4185  SCIP_CALL( SCIPgetNegatedVar(scip, consdata->var, &vars[0]) );
4186  SCIP_CALL( SCIPgetNegatedVar(scip, consdata->vbdvar, &vars[1]) );
4187  }
4188  }
4189  /* the case x - y <= 0 or x - y >= 0 */
4190  else
4191  {
4192  /* the case x - y <= 0 */
4193  if( SCIPisZero(scip, consdata->rhs) )
4194  {
4195  /* check for aggregations like x - y == 0 */
4196  if( SCIPisZero(scip, consdata->lhs) )
4197  {
4198  SCIP_Bool infeasible;
4199  SCIP_Bool redundant;
4200  SCIP_Bool aggregated;
4201 
4202  SCIPdebugMsg(scip, "varbound constraint <%s>: aggregate <%s> - <%s> == 0\n",
4203  SCIPconsGetName(cons), SCIPvarGetName(consdata->var), SCIPvarGetName(consdata->vbdvar));
4204 
4205  /* aggregate both variables */
4206  SCIP_CALL( SCIPaggregateVars(scip, consdata->var, consdata->vbdvar, 1.0, -1.0, 0.0, &infeasible, &redundant, &aggregated) );
4207  assert(!infeasible);
4208  ++(*naggrvars);
4209 
4210  SCIP_CALL( SCIPdelCons(scip, cons) );
4211  ++(*ndelconss);
4212 
4213  continue;
4214  }
4215  assert(consdata->lhs < -0.5);
4216 
4217  vars[0] = consdata->var;
4218  SCIP_CALL( SCIPgetNegatedVar(scip, consdata->vbdvar, &vars[1]) );
4219  }
4220  /* the case x - y >= 0 */
4221  else
4222  {
4223  assert(SCIPisZero(scip, consdata->lhs));
4224 
4225  SCIP_CALL( SCIPgetNegatedVar(scip, consdata->var, &vars[0]) );
4226  vars[1] = consdata->vbdvar;
4227  }
4228  }
4229 
4230  SCIP_CALL( SCIPcreateConsSetpack(scip, &newcons, SCIPconsGetName(cons), 2, vars,
4235 
4236  SCIP_CALL( SCIPaddCons(scip, newcons) );
4237  SCIPdebugMsg(scip, "upgraded varbound constraint <%s> to a set-packing constraint\n", SCIPconsGetName(cons));
4238  SCIPdebugPrintCons(scip, newcons, NULL);
4239 
4240  SCIP_CALL( SCIPreleaseCons(scip, &newcons) );
4241  ++(*naddconss);
4242 
4243  SCIP_CALL( SCIPdelCons(scip, cons) );
4244  ++(*ndelconss);
4245  }
4246  }
4247 
4248  return SCIP_OKAY;
4249 }
4250 
4251 /**@} */
4252 
4253 
4254 /**@name Linear constraint upgrading
4255  *
4256  * @{
4257  */
4258 
4259 /** tries to upgrade a linear constraint into a variable bound constraint */
4260 static
4261 SCIP_DECL_LINCONSUPGD(linconsUpgdVarbound)
4262 { /*lint --e{715}*/
4263  SCIP_Bool upgrade;
4264 
4265  assert(upgdcons != NULL);
4266 
4267  /* check, if linear constraint can be upgraded to a variable bound constraint lhs <= x + a*y <= rhs
4268  * - there are exactly two variables
4269  * - one of the variables is non-binary (called the bounded variable x)
4270  * - one of the variables is non-continuous (called the bounding variable y)
4271  */
4272  upgrade = (nvars == 2) && (nposbin + nnegbin <= 1) && (nposcont + nnegcont <= 1);
4273 
4274  if( upgrade )
4275  {
4276  SCIP_VAR* var;
4277  SCIP_VAR* vbdvar;
4278  SCIP_Real vbdcoef;
4279  SCIP_Real vbdlhs;
4280  SCIP_Real vbdrhs;
4281  int vbdind;
4282 
4283  /* decide which variable we want to use as bounding variable y */
4284  if( SCIPvarGetType(vars[0]) < SCIPvarGetType(vars[1]) )
4285  vbdind = 0;
4286  else if( SCIPvarGetType(vars[0]) > SCIPvarGetType(vars[1]) )
4287  vbdind = 1;
4288  else if( SCIPisIntegral(scip, vals[0]) && !SCIPisIntegral(scip, vals[1]) )
4289  vbdind = 0;
4290  else if( !SCIPisIntegral(scip, vals[0]) && SCIPisIntegral(scip, vals[1]) )
4291  vbdind = 1;
4292  else if( REALABS(REALABS(vals[0]) - 1.0) < REALABS(REALABS(vals[1]) - 1.0) )
4293  vbdind = 1;
4294  else
4295  vbdind = 0;
4296 
4297  /* do not upgrade when it is numerical unstable */
4298  if( SCIPisZero(scip, vals[vbdind]/vals[1-vbdind]) )
4299  return SCIP_OKAY;
4300 
4301  SCIPdebugMsg(scip, "upgrading constraint <%s> to variable bound constraint\n", SCIPconsGetName(cons));
4302 
4303  var = vars[1-vbdind];
4304  vbdvar = vars[vbdind];
4305 
4306  assert(!SCIPisZero(scip, vals[1-vbdind]));
4307  vbdcoef = vals[vbdind]/vals[1-vbdind];
4308 
4309  if( vals[1-vbdind] > 0.0 )
4310  {
4311  vbdlhs = SCIPisInfinity(scip, -lhs) ? -SCIPinfinity(scip) : lhs/vals[1-vbdind];
4312  vbdrhs = SCIPisInfinity(scip, rhs) ? SCIPinfinity(scip) : rhs/vals[1-vbdind];
4313  }
4314  else
4315  {
4316  vbdlhs = SCIPisInfinity(scip, rhs) ? -SCIPinfinity(scip) : rhs/vals[1-vbdind];
4317  vbdrhs = SCIPisInfinity(scip, -lhs) ? SCIPinfinity(scip) : lhs/vals[1-vbdind];
4318  }
4319 
4320  /* create the bin variable bound constraint (an automatically upgraded constraint is always unmodifiable) */
4321  assert(!SCIPconsIsModifiable(cons));
4322  SCIP_CALL( SCIPcreateConsVarbound(scip, upgdcons, SCIPconsGetName(cons), var, vbdvar, vbdcoef, vbdlhs, vbdrhs,
4327  }
4328 
4329  return SCIP_OKAY;
4330 }
4331 
4332 /** adds symmetry information of constraint to a symmetry detection graph */
4333 static
4335  SCIP* scip, /**< SCIP pointer */
4336  SYM_SYMTYPE symtype, /**< type of symmetries that need to be added */
4337  SCIP_CONS* cons, /**< constraint */
4338  SYM_GRAPH* graph, /**< symmetry detection graph */
4339  SCIP_Bool* success /**< pointer to store whether symmetry information could be added */
4340  )
4341 {
4342  SCIP_VAR** vars;
4343  SCIP_Real* vals;
4344  SCIP_Real constant = 0.0;
4345  SCIP_Real lhs;
4346  SCIP_Real rhs;
4347  int nlocvars;
4348  int nvars;
4349 
4350  assert(scip != NULL);
4351  assert(cons != NULL);
4352  assert(graph != NULL);
4353  assert(success != NULL);
4354 
4355  /* get active variables of the constraint */
4356  nvars = SCIPgetNVars(scip);
4357  nlocvars = 2;
4358 
4359  SCIP_CALL( SCIPallocBufferArray(scip, &vars, nvars) );
4360  SCIP_CALL( SCIPallocBufferArray(scip, &vals, nvars) );
4361 
4362  vars[0] = SCIPgetVarVarbound(scip, cons);
4363  vars[1] = SCIPgetVbdvarVarbound(scip, cons);
4364  vals[0] = 1.0;
4365  vals[1] = SCIPgetVbdcoefVarbound(scip, cons);
4366 
4367  SCIP_CALL( SCIPgetSymActiveVariables(scip, symtype, &vars, &vals, &nlocvars, &constant, SCIPisTransformed(scip)) );
4368  lhs = SCIPgetLhsVarbound(scip, cons) - constant;
4369  rhs = SCIPgetRhsVarbound(scip, cons) - constant;
4370 
4371  SCIP_CALL( SCIPextendPermsymDetectionGraphLinear(scip, graph, vars, vals, nlocvars,
4372  cons, lhs, rhs, success) );
4373 
4374  SCIPfreeBufferArray(scip, &vals);
4375  SCIPfreeBufferArray(scip, &vars);
4376 
4377  return SCIP_OKAY;
4378 }
4379 
4380 /**@} */
4381 
4382 
4383 /**@name Callback methods
4384  *
4385  * @{
4386  */
4387 
4388 /** copy method for constraint handler plugins (called when SCIP copies plugins) */
4389 static
4390 SCIP_DECL_CONSHDLRCOPY(conshdlrCopyVarbound)
4391 { /*lint --e{715}*/
4392  assert(scip != NULL);
4393  assert(conshdlr != NULL);
4394  assert(strcmp(SCIPconshdlrGetName(conshdlr), CONSHDLR_NAME) == 0);
4395 
4396  /* call inclusion method of constraint handler */
4398 
4399  *valid = TRUE;
4400 
4401  return SCIP_OKAY;
4402 }
4403 
4404 /** destructor of constraint handler to free constraint handler data (called when SCIP is exiting) */
4405 static
4406 SCIP_DECL_CONSFREE(consFreeVarbound)
4407 { /*lint --e{715}*/
4408  SCIP_CONSHDLRDATA* conshdlrdata;
4409 
4410  assert(scip != NULL);
4411  assert(conshdlr != NULL);
4412  assert(strcmp(SCIPconshdlrGetName(conshdlr), CONSHDLR_NAME) == 0);
4413 
4414  /* free constraint handler data */
4415  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4416  assert(conshdlrdata != NULL);
4417 
4418  conshdlrdataFree(scip, &conshdlrdata);
4419 
4420  SCIPconshdlrSetData(conshdlr, NULL);
4421 
4422  return SCIP_OKAY;
4423 }
4424 
4425 /** solving process initialization method of constraint handler */
4426 static
4427 SCIP_DECL_CONSINITSOL(consInitsolVarbound)
4428 { /*lint --e{715}*/
4429  /* add nlrow representation to NLP, if NLP had been constructed */
4430  if( SCIPisNLPConstructed(scip) )
4431  {
4432  int c;
4433  for( c = 0; c < nconss; ++c )
4434  {
4435  SCIP_CALL( addNlrow(scip, conss[c]) );
4436  }
4437  }
4438 
4439  return SCIP_OKAY;
4440 }
4441 
4442 /** solving process deinitialization method of constraint handler (called before branch and bound process data is freed) */
4443 static
4444 SCIP_DECL_CONSEXITSOL(consExitsolVarbound)
4445 { /*lint --e{715}*/
4446  SCIP_CONSDATA* consdata;
4447  int c;
4448 
4449  /* release the rows and nlrows of all constraints */
4450  for( c = 0; c < nconss; ++c )
4451  {
4452  consdata = SCIPconsGetData(conss[c]);
4453  assert(consdata != NULL);
4454 
4455  if( consdata->row != NULL )
4456  {
4457  SCIP_CALL( SCIPreleaseRow(scip, &consdata->row) );
4458  }
4459 
4460  if( consdata->nlrow != NULL )
4461  {
4462  SCIP_CALL( SCIPreleaseNlRow(scip, &consdata->nlrow) );
4463  }
4464  }
4465 
4466  return SCIP_OKAY;
4467 }
4468 
4469 
4470 /** frees specific constraint data */
4471 static
4472 SCIP_DECL_CONSDELETE(consDeleteVarbound)
4473 { /*lint --e{715}*/
4474  SCIP_CONSHDLRDATA* conshdlrdata;
4475 
4476  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4477  assert(conshdlrdata != NULL);
4478 
4479  /* drop events */
4480  if( SCIPisTransformed(scip) )
4481  {
4482  SCIP_CALL( dropEvents(scip, cons, conshdlrdata->eventhdlr) );
4483  }
4484 
4485  SCIP_CALL( consdataFree(scip, consdata) );
4486 
4487  return SCIP_OKAY;
4488 }
4489 
4490 
4491 /** transforms constraint data into data belonging to the transformed problem */
4492 static
4493 SCIP_DECL_CONSTRANS(consTransVarbound)
4494 { /*lint --e{715}*/
4495  SCIP_CONSHDLRDATA* conshdlrdata;
4496  SCIP_CONSDATA* sourcedata;
4497  SCIP_CONSDATA* targetdata;
4498 
4499  assert(conshdlr != NULL);
4500 
4501  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4502  assert(conshdlrdata != NULL);
4503 
4504  sourcedata = SCIPconsGetData(sourcecons);
4505  assert(sourcedata != NULL);
4506 
4507  /* create target constraint data */
4508  SCIP_CALL( consdataCreate(scip, &targetdata,
4509  sourcedata->var, sourcedata->vbdvar, sourcedata->vbdcoef, sourcedata->lhs, sourcedata->rhs) );
4510 
4511  /* create target constraint */
4512  SCIP_CALL( SCIPcreateCons(scip, targetcons, SCIPconsGetName(sourcecons), conshdlr, targetdata,
4513  SCIPconsIsInitial(sourcecons), SCIPconsIsSeparated(sourcecons), SCIPconsIsEnforced(sourcecons),
4514  SCIPconsIsChecked(sourcecons), SCIPconsIsPropagated(sourcecons),
4515  SCIPconsIsLocal(sourcecons), SCIPconsIsModifiable(sourcecons),
4516  SCIPconsIsDynamic(sourcecons), SCIPconsIsRemovable(sourcecons), SCIPconsIsStickingAtNode(sourcecons)) );
4517 
4518  /* catch events for variables */
4519  SCIP_CALL( catchEvents(scip, *targetcons, conshdlrdata->eventhdlr) );
4520 
4521  return SCIP_OKAY;
4522 }
4523 
4524 
4525 /** LP initialization method of constraint handler (called before the initial LP relaxation at a node is solved) */
4526 static
4527 SCIP_DECL_CONSINITLP(consInitlpVarbound)
4528 { /*lint --e{715}*/
4529  int i;
4530 
4531  *infeasible = FALSE;
4532 
4533  for( i = 0; i < nconss && !(*infeasible); i++ )
4534  {
4535  assert(SCIPconsIsInitial(conss[i]));
4536  SCIP_CALL( addRelaxation(scip, conss[i], infeasible) );
4537  }
4538 
4539  return SCIP_OKAY;
4540 }
4541 
4542 
4543 /** separation method of constraint handler for LP solutions */
4544 static
4545 SCIP_DECL_CONSSEPALP(consSepalpVarbound)
4546 { /*lint --e{715}*/
4547  SCIP_CONSHDLRDATA* conshdlrdata;
4548  int i;
4549 
4550  assert(conshdlr != NULL);
4551 
4552  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4553  assert(conshdlrdata != NULL);
4554 
4555  *result = SCIP_DIDNOTFIND;
4556 
4557  /* separate useful constraints */
4558  for( i = 0; i < nusefulconss; ++i )
4559  {
4560  SCIP_CALL( separateCons(scip, conss[i], conshdlrdata->usebdwidening, NULL, result) );
4561  }
4562 
4563  /* separate remaining constraints */
4564  for( i = nusefulconss; i < nconss && *result == SCIP_DIDNOTFIND; ++i )
4565  {
4566  SCIP_CALL( separateCons(scip, conss[i], conshdlrdata->usebdwidening, NULL, result) );
4567  }
4568 
4569  return SCIP_OKAY;
4570 }
4571 
4572 
4573 /** separation method of constraint handler for arbitrary primal solutions */
4574 static
4575 SCIP_DECL_CONSSEPASOL(consSepasolVarbound)
4576 { /*lint --e{715}*/
4577  SCIP_CONSHDLRDATA* conshdlrdata;
4578  int i;
4579 
4580  assert(conshdlr != NULL);
4581 
4582  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4583  assert(conshdlrdata != NULL);
4584 
4585  *result = SCIP_DIDNOTFIND;
4586 
4587  /* separate useful constraints */
4588  for( i = 0; i < nusefulconss; ++i )
4589  {
4590  SCIP_CALL( separateCons(scip, conss[i], conshdlrdata->usebdwidening, sol, result) );
4591  }
4592 
4593  /* separate remaining constraints */
4594  for( i = nusefulconss; i < nconss && *result == SCIP_DIDNOTFIND; ++i )
4595  {
4596  SCIP_CALL( separateCons(scip, conss[i], conshdlrdata->usebdwidening, sol, result) );
4597  }
4598 
4599  return SCIP_OKAY;
4600 }
4601 
4602 
4603 /** constraint enforcing method of constraint handler for LP solutions */
4604 static
4605 SCIP_DECL_CONSENFOLP(consEnfolpVarbound)
4606 { /*lint --e{715}*/
4607  SCIP_CONSHDLRDATA* conshdlrdata;
4608  int i;
4609 
4610  assert(conshdlr != NULL);
4611 
4612  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4613  assert(conshdlrdata != NULL);
4614 
4615  *result = SCIP_FEASIBLE;
4616 
4617  for( i = 0; i < nconss; i++ )
4618  {
4619  if( !checkCons(scip, conss[i], NULL, FALSE) )
4620  {
4621  assert((*result) == SCIP_INFEASIBLE || (*result) == SCIP_FEASIBLE);
4622  (*result) = SCIP_INFEASIBLE;
4623 
4624  SCIP_CALL( SCIPresetConsAge(scip, conss[i]) );
4625 
4626  SCIP_CALL( separateCons(scip, conss[i], conshdlrdata->usebdwidening, NULL, result) );
4627  assert((*result) != SCIP_FEASIBLE);
4628 
4629  if( (*result) != SCIP_INFEASIBLE )
4630  break;
4631  }
4632  else
4633  {
4634  /* increase age of constraint */
4635  SCIP_CALL( SCIPincConsAge(scip, conss[i]) );
4636  }
4637  }
4638 
4639  return SCIP_OKAY;
4640 }
4641 
4642 
4643 /** constraint enforcing method of constraint handler for relaxation solutions */
4644 static
4645 SCIP_DECL_CONSENFORELAX(consEnforelaxVarbound)
4646 { /*lint --e{715}*/
4647  SCIP_CONSHDLRDATA* conshdlrdata;
4648  int i;
4649 
4650  assert(conshdlr != NULL);
4651 
4652  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4653  assert(conshdlrdata != NULL);
4654 
4655  *result = SCIP_FEASIBLE;
4656 
4657  for( i = 0; i < nconss; i++ )
4658  {
4659  if( !checkCons(scip, conss[i], sol, FALSE) )
4660  {
4661  assert((*result) == SCIP_INFEASIBLE || (*result) == SCIP_FEASIBLE);
4662  (*result) = SCIP_INFEASIBLE;
4663 
4664  SCIP_CALL( SCIPresetConsAge(scip, conss[i]) );
4665 
4666  SCIP_CALL( separateCons(scip, conss[i], conshdlrdata->usebdwidening, sol, result) );
4667  assert((*result) != SCIP_FEASIBLE);
4668 
4669  if( (*result) != SCIP_INFEASIBLE )
4670  break;
4671  }
4672  else
4673  {
4674  /* increase age of constraint */
4675  SCIP_CALL( SCIPincConsAge(scip, conss[i]) );
4676  }
4677  }
4678 
4679  return SCIP_OKAY;
4680 }
4681 
4682 
4683 /** constraint enforcing method of constraint handler for pseudo solutions */
4684 static
4685 SCIP_DECL_CONSENFOPS(consEnfopsVarbound)
4686 { /*lint --e{715}*/
4687  int i;
4688 
4689  for( i = 0; i < nconss; i++ )
4690  {
4691  if( !checkCons(scip, conss[i], NULL, TRUE) )
4692  {
4693  SCIP_CALL( SCIPresetConsAge(scip, conss[i]) );
4694 
4695  *result = SCIP_INFEASIBLE;
4696  return SCIP_OKAY;
4697  }
4698  else
4699  {
4700  /* increase age of constraint */
4701  SCIP_CALL( SCIPincConsAge(scip, conss[i]) );
4702  }
4703  }
4704  *result = SCIP_FEASIBLE;
4705 
4706  return SCIP_OKAY;
4707 }
4708 
4709 
4710 /** feasibility check method of constraint handler for integral solutions */
4711 static
4712 SCIP_DECL_CONSCHECK(consCheckVarbound)
4713 { /*lint --e{715}*/
4714  int i;
4715 
4716  *result = SCIP_FEASIBLE;
4717 
4718  for( i = 0; i < nconss && (*result == SCIP_FEASIBLE || completely); i++ )
4719  {
4720  if( !checkCons(scip, conss[i], sol, checklprows) )
4721  {
4722  *result = SCIP_INFEASIBLE;
4723 
4724  if( printreason )
4725  {
4726  SCIP_CONSDATA* consdata;
4727  SCIP_Real sum;
4728 
4729  consdata = SCIPconsGetData(conss[i]);
4730  assert( consdata != NULL );
4731 
4732  sum = SCIPgetSolVal(scip, sol, consdata->var) + consdata->vbdcoef * SCIPgetSolVal(scip, sol, consdata->vbdvar);
4733 
4734  SCIP_CALL( SCIPprintCons(scip, conss[i], NULL) );
4735  SCIPinfoMessage(scip, NULL, ";\n");
4736 
4737  if( !SCIPisFeasGE(scip, sum, consdata->lhs) )
4738  {
4739  SCIPinfoMessage(scip, NULL, "violation: left hand side is violated by %.15g\n", consdata->lhs - sum);
4740  }
4741  if( !SCIPisFeasLE(scip, sum, consdata->rhs) )
4742  {
4743  SCIPinfoMessage(scip, NULL, "violation: right hand side is violated by %.15g\n", sum - consdata->rhs);
4744  }
4745  }
4746  }
4747  }
4748 
4749  return SCIP_OKAY;
4750 }
4751 
4752 
4753 /** domain propagation method of constraint handler */
4754 static
4755 SCIP_DECL_CONSPROP(consPropVarbound)
4756 { /*lint --e{715}*/
4757  SCIP_CONSHDLRDATA* conshdlrdata;
4758  SCIP_Bool cutoff;
4759  int nchgbds = 0;
4760  int nchgsides = 0;
4761  int i;
4762 
4763  assert(conshdlr != NULL);
4764 
4765  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4766  assert(conshdlrdata != NULL);
4767 
4768  cutoff = FALSE;
4769 
4770  SCIPdebugMsg(scip, "propagating %d variable bound constraints\n", nmarkedconss);
4771 
4772  /* process constraints marked for propagation */
4773  for( i = 0; i < nmarkedconss && !cutoff; i++ )
4774  {
4775  SCIP_CALL( propagateCons(scip, conss[i], conshdlrdata->usebdwidening, &cutoff, &nchgbds, &nchgsides, NULL) );
4776  }
4777 
4778  if( cutoff )
4779  *result = SCIP_CUTOFF;
4780  else if( nchgbds > 0 )
4781  *result = SCIP_REDUCEDDOM;
4782  else
4783  *result = SCIP_DIDNOTFIND;
4784 
4785  return SCIP_OKAY;
4786 }
4787 
4788 
4789 /** presolving method of constraint handler */
4790 static
4791 SCIP_DECL_CONSPRESOL(consPresolVarbound)
4792 { /*lint --e{715}*/
4793  SCIP_CONSHDLRDATA* conshdlrdata;
4794  SCIP_CONS* cons;
4795  SCIP_CONSDATA* consdata;
4796  SCIP_Bool cutoff;
4797  int oldnchgbds;
4798  int oldndelconss;
4799  int oldnaddconss;
4800  int oldnchgcoefs;
4801  int oldnchgsides;
4802  int oldnaggrvars;
4803  int i;
4804 
4805  assert(scip != NULL);
4806  assert(conshdlr != NULL);
4807  assert(strcmp(SCIPconshdlrGetName(conshdlr), CONSHDLR_NAME) == 0);
4808  assert(result != NULL);
4809 
4810  /* get constraint handler data */
4811  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4812  assert(conshdlrdata != NULL);
4813 
4814  cutoff = FALSE;
4815  oldnchgbds = *nchgbds;
4816  oldndelconss = *ndelconss;
4817  oldnaddconss = *naddconss;
4818  oldnchgcoefs = *nchgcoefs;
4819  oldnchgsides = *nchgsides;
4820  oldnaggrvars = *naggrvars;
4821 
4822  for( i = 0; i < nconss; i++ )
4823  {
4824  cons = conss[i];
4825  assert(cons != NULL);
4826 
4827  assert(!SCIPconsIsModifiable(cons));
4828 
4829  consdata = SCIPconsGetData(cons);
4830  assert(consdata != NULL);
4831 
4832  if( i % 1000 == 0 && SCIPisStopped(scip) )
4833  break;
4834 
4835  /* force presolving the constraint in the initial round */
4836  if( nrounds == 0 )
4837  consdata->presolved = FALSE;
4838 
4839  if( consdata->presolved )
4840  continue;
4841  consdata->presolved = TRUE;
4842 
4843  /* incorporate fixings and aggregations in constraint */
4844  SCIP_CALL( applyFixings(scip, cons, conshdlrdata->eventhdlr, &cutoff, nchgbds, ndelconss, naddconss) );
4845 
4846  if( cutoff )
4847  break;
4848  if( !SCIPconsIsActive(cons) )
4849  continue;
4850 
4851  /* propagate constraint */
4852  SCIP_CALL( propagateCons(scip, cons, conshdlrdata->usebdwidening, &cutoff, nchgbds, nchgsides, ndelconss) );
4853 
4854  if( cutoff )
4855  break;
4856  if( !SCIPconsIsActive(cons) )
4857  continue;
4858 
4859  /* tighten variable bound coefficient */
4860  SCIP_CALL( tightenCoefs(scip, cons, nchgcoefs, nchgsides, ndelconss, &cutoff, nchgbds) );
4861  if( cutoff )
4862  break;
4863  if( !SCIPconsIsActive(cons) )
4864  continue;
4865 
4866  /* informs once variable x about a globally valid variable lower or upper bound */
4867  if( !consdata->varboundsadded )
4868  {
4869  SCIP_Bool infeasible;
4870  int nlocalchgbds;
4871  int localoldnchgbds;
4872 
4873  localoldnchgbds = *nchgbds;
4874 
4875  /* if lhs is finite, we have a variable lower bound: lhs <= x + c*y => x >= -c*y + lhs */
4876  if( !SCIPisInfinity(scip, -consdata->lhs) && !SCIPisInfinity(scip, REALABS(consdata->vbdcoef)) )
4877  {
4878  SCIPdebugMsg(scip, "adding variable lower bound <%s> >= %g<%s> + %g (and potentially also <%s> %s %g<%s> + %g)\n",
4879  SCIPvarGetName(consdata->var), -consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar), consdata->lhs,
4880  SCIPvarGetName(consdata->vbdvar), (consdata->vbdcoef > 0 ? ">=" : "<="), 1.0/-consdata->vbdcoef,
4881  SCIPvarGetName(consdata->var), consdata->lhs/consdata->vbdcoef);
4882 
4883  SCIP_CALL( SCIPaddVarVlb(scip, consdata->var, consdata->vbdvar, -consdata->vbdcoef, consdata->lhs,
4884  &infeasible, &nlocalchgbds) );
4885  assert(!infeasible);
4886 
4887  *nchgbds += nlocalchgbds;
4888  }
4889 
4890  /* if rhs is finite, we have a variable upper bound: x + c*y <= rhs => x <= -c*y + rhs */
4891  if( !SCIPisInfinity(scip, consdata->rhs) && !SCIPisInfinity(scip, REALABS(consdata->vbdcoef)) )
4892  {
4893  SCIPdebugMsg(scip, "adding variable upper bound <%s> <= %g<%s> + %g (and potentially also <%s> %s %g<%s> + %g)\n",
4894  SCIPvarGetName(consdata->var), -consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar), consdata->rhs,
4895  SCIPvarGetName(consdata->vbdvar), (consdata->vbdcoef > 0 ? "<=" : ">="), 1.0/-consdata->vbdcoef,
4896  SCIPvarGetName(consdata->var), consdata->rhs/consdata->vbdcoef);
4897 
4898  SCIP_CALL( SCIPaddVarVub(scip, consdata->var, consdata->vbdvar, -consdata->vbdcoef, consdata->rhs,
4899  &infeasible, &nlocalchgbds) );
4900  assert(!infeasible);
4901 
4902  *nchgbds += nlocalchgbds;
4903  }
4904  consdata->varboundsadded = TRUE;
4905 
4906  if( *nchgbds > localoldnchgbds )
4907  {
4908  /* tighten variable bound coefficient */
4909  SCIP_CALL( tightenCoefs(scip, cons, nchgcoefs, nchgsides, ndelconss, &cutoff, nchgbds) );
4910  if( cutoff )
4911  break;
4912  }
4913  }
4914  }
4915 
4916  if( !cutoff )
4917  {
4918  /* for varbound constraint with two integer variables make coefficients integral */
4919  prettifyConss(scip, conss, nconss, nchgcoefs, nchgsides);
4920 
4921  /* check if we can upgrade to a set-packing constraint */
4922  SCIP_CALL( upgradeConss(scip, conshdlrdata, conss, nconss, &cutoff, naggrvars, nchgbds, nchgcoefs, nchgsides, ndelconss, naddconss) );
4923 
4924  if( !cutoff && conshdlrdata->presolpairwise && (presoltiming & SCIP_PRESOLTIMING_MEDIUM) != 0 )
4925  {
4926  /* preprocess pairs of variable bound constraints */
4927  SCIP_CALL( preprocessConstraintPairs(scip, conss, nconss, &cutoff, nchgbds, ndelconss, nchgcoefs, nchgsides) );
4928  }
4929  }
4930 
4931  /* return the correct result code */
4932  if( cutoff )
4933  *result = SCIP_CUTOFF;
4934  else if( *nchgbds > oldnchgbds || *ndelconss > oldndelconss || *naddconss > oldnaddconss
4935  || *nchgcoefs > oldnchgcoefs || *nchgsides > oldnchgsides || *naggrvars > oldnaggrvars )
4936  *result = SCIP_SUCCESS;
4937  else
4938  *result = SCIP_DIDNOTFIND;
4939 
4940  return SCIP_OKAY;
4941 }
4942 
4943 
4944 /** propagation conflict resolving method of constraint handler */
4945 static
4946 SCIP_DECL_CONSRESPROP(consRespropVarbound)
4947 { /*lint --e{715}*/
4948  SCIP_CONSHDLRDATA* conshdlrdata;
4949 
4950  assert(conshdlr != NULL);
4951 
4952  conshdlrdata = SCIPconshdlrGetData(conshdlr);
4953  assert(conshdlrdata != NULL);
4954 
4955  SCIP_CALL( resolvePropagation(scip, cons, infervar, (PROPRULE)inferinfo, boundtype, bdchgidx, relaxedbd, conshdlrdata->usebdwidening) );
4956 
4957  *result = SCIP_SUCCESS;
4958 
4959  return SCIP_OKAY;
4960 }
4961 
4962 
4963 /** variable rounding lock method of constraint handler */
4964 static
4965 SCIP_DECL_CONSLOCK(consLockVarbound)
4966 { /*lint --e{715}*/
4967  SCIP_CONSDATA* consdata;
4968 
4969  consdata = SCIPconsGetData(cons);
4970  assert(consdata != NULL);
4971 
4972  if( !SCIPisInfinity(scip, -consdata->lhs) )
4973  {
4974  SCIP_CALL( SCIPaddVarLocksType(scip, consdata->var, locktype, nlockspos, nlocksneg) );
4975  if( consdata->vbdcoef > 0.0 )
4976  {
4977  SCIP_CALL( SCIPaddVarLocksType(scip, consdata->vbdvar, locktype, nlockspos, nlocksneg) );
4978  }
4979  else
4980  {
4981  SCIP_CALL( SCIPaddVarLocksType(scip, consdata->vbdvar, locktype, nlocksneg, nlockspos) );
4982  }
4983  }
4984 
4985  if( !SCIPisInfinity(scip, consdata->rhs) )
4986  {
4987  SCIP_CALL( SCIPaddVarLocksType(scip, consdata->var, locktype, nlocksneg, nlockspos) );
4988  if( consdata->vbdcoef > 0.0 )
4989  {
4990  SCIP_CALL( SCIPaddVarLocksType(scip, consdata->vbdvar, locktype, nlocksneg, nlockspos) );
4991  }
4992  else
4993  {
4994  SCIP_CALL( SCIPaddVarLocksType(scip, consdata->vbdvar, locktype, nlockspos, nlocksneg) );
4995  }
4996  }
4997 
4998  return SCIP_OKAY;
4999 }
5000 
5001 /** constraint activation notification method of constraint handler */
5002 static
5003 SCIP_DECL_CONSACTIVE(consActiveVarbound)
5004 { /*lint --e{715}*/
5005  if( SCIPgetStage(scip) == SCIP_STAGE_SOLVING && SCIPisNLPConstructed(scip) )
5006  {
5007  SCIP_CALL( addNlrow(scip, cons) );
5008  }
5009 
5010  return SCIP_OKAY;
5011 }
5012 
5013 /** constraint deactivation notification method of constraint handler */
5014 static
5015 SCIP_DECL_CONSDEACTIVE(consDeactiveVarbound)
5016 { /*lint --e{715}*/
5017  SCIP_CONSDATA* consdata;
5018 
5019  assert(cons != NULL);
5020 
5021  consdata = SCIPconsGetData(cons);
5022  assert(consdata != NULL);
5023 
5024  /* remove row from NLP, if still in solving
5025  * if we are in exitsolve, the whole NLP will be freed anyway
5026  */
5027  if( SCIPgetStage(scip) == SCIP_STAGE_SOLVING && consdata->nlrow != NULL )
5028  {
5029  SCIP_CALL( SCIPdelNlRow(scip, consdata->nlrow) );
5030  }
5031 
5032  return SCIP_OKAY;
5033 }
5034 
5035 /** constraint display method of constraint handler */
5036 static
5037 SCIP_DECL_CONSPRINT(consPrintVarbound)
5038 { /*lint --e{715}*/
5039  SCIP_CONSDATA* consdata;
5040 
5041  assert(scip != NULL);
5042  assert(conshdlr != NULL);
5043  assert(cons != NULL);
5044 
5045  consdata = SCIPconsGetData(cons);
5046  assert(consdata != NULL);
5047 
5048  /* print left hand side for ranged rows */
5049  if( !SCIPisInfinity(scip, -consdata->lhs)
5050  && !SCIPisInfinity(scip, consdata->rhs)
5051  && !SCIPisEQ(scip, consdata->lhs, consdata->rhs) )
5052  SCIPinfoMessage(scip, file, "%.15g <= ", consdata->lhs);
5053 
5054  /* print coefficients and variables */
5055  SCIPinfoMessage(scip, file, "<%s>[%c] %+.15g<%s>[%c]", SCIPvarGetName(consdata->var),
5059  consdata->vbdcoef, SCIPvarGetName(consdata->vbdvar),
5062  SCIPvarGetType(consdata->vbdvar) == SCIP_VARTYPE_IMPLINT ? SCIP_VARTYPE_IMPLINT_CHAR : SCIP_VARTYPE_CONTINUOUS_CHAR);
5063 
5064  /* print right hand side */
5065  if( SCIPisEQ(scip, consdata->lhs, consdata->rhs) )
5066  SCIPinfoMessage(scip, file, " == %.15g", consdata->rhs);
5067  else if( !SCIPisInfinity(scip, consdata->rhs) )
5068  SCIPinfoMessage(scip, file, " <= %.15g", consdata->rhs);
5069  else if( !SCIPisInfinity(scip, -consdata->lhs) )
5070  SCIPinfoMessage(scip, file, " >= %.15g", consdata->lhs);
5071  else
5072  SCIPinfoMessage(scip, file, " [free]");
5073 
5074  return SCIP_OKAY;
5075 }
5076 
5077 /** constraint copying method of constraint handler */
5078 static
5079 SCIP_DECL_CONSCOPY(consCopyVarbound)
5080 { /*lint --e{715}*/
5081  SCIP_VAR** vars;
5082  SCIP_Real* coefs;
5083  const char* consname;
5084 
5085  SCIP_CALL( SCIPallocBufferArray(scip, &vars, 2) );
5086  SCIP_CALL( SCIPallocBufferArray(scip, &coefs, 2) );
5087 
5088  vars[0] = SCIPgetVarVarbound(sourcescip, sourcecons);
5089  vars[1] = SCIPgetVbdvarVarbound(sourcescip, sourcecons);
5090 
5091  coefs[0] = 1.0;
5092  coefs[1] = SCIPgetVbdcoefVarbound(sourcescip, sourcecons);
5093 
5094  if( name != NULL )
5095  consname = name;
5096  else
5097  consname = SCIPconsGetName(sourcecons);
5098 
5099  /* copy the varbound using the linear constraint copy method */
5100  SCIP_CALL( SCIPcopyConsLinear(scip, cons, sourcescip, consname, 2, vars, coefs,
5101  SCIPgetLhsVarbound(sourcescip, sourcecons), SCIPgetRhsVarbound(sourcescip, sourcecons), varmap, consmap,
5102  initial, separate, enforce, check, propagate, local, modifiable, dynamic, removable, stickingatnode, global, valid) );
5103 
5104  SCIPfreeBufferArray(scip, &coefs);
5105  SCIPfreeBufferArray(scip, &vars);
5106 
5107  return SCIP_OKAY;
5108 }
5109 
5110 /** constraint parsing method of constraint handler */
5111 static
5112 SCIP_DECL_CONSPARSE(consParseVarbound)
5113 { /*lint --e{715}*/
5114  SCIP_VAR** vars;
5115  SCIP_Real* coefs;
5116  SCIP_Real lhs;
5117  SCIP_Real rhs;
5118  char* endstr;
5119  int requiredsize;
5120  int nvars;
5121 
5122  assert(scip != NULL);
5123  assert(success != NULL);
5124  assert(str != NULL);
5125  assert(name != NULL);
5126  assert(cons != NULL);
5127 
5128  /* set left and right hand side to their default values */
5129  lhs = -SCIPinfinity(scip);
5130  rhs = SCIPinfinity(scip);
5131 
5132  (*success) = FALSE;
5133 
5134  /* return of string empty */
5135  if( !*str )
5136  return SCIP_OKAY;
5137 
5138  /* ignore whitespace */
5139  SCIP_CALL( SCIPskipSpace((char**)&str) );
5140 
5141  if( isdigit(str[0]) || ((str[0] == '-' || str[0] == '+') && isdigit(str[1])) )
5142  {
5143  if( !SCIPparseReal(scip, str, &lhs, &endstr) )
5144  {
5145  SCIPerrorMessage("error parsing left hand side\n");
5146  return SCIP_OKAY;
5147  }
5148 
5149  /* ignore whitespace */
5150  SCIP_CALL( SCIPskipSpace(&endstr) );
5151 
5152  if( endstr[0] != '<' || endstr[1] != '=' )
5153  {
5154  SCIPerrorMessage("missing \"<=\" after left hand side(, found %c%c)\n", endstr[0], endstr[1]);
5155  return SCIP_OKAY;
5156  }
5157 
5158  SCIPdebugMsg(scip, "found left hand side <%g>\n", lhs);
5159 
5160  /* it was indeed a left-hand-side, so continue parsing after it */
5161  str = endstr + 2;
5162  }
5163 
5164  /* pares x + c*y as linear sum */
5165  SCIP_CALL( SCIPallocBufferArray(scip, &vars, 2) );
5166  SCIP_CALL( SCIPallocBufferArray(scip, &coefs, 2) );
5167 
5168  /* parse linear sum to get variables and coefficients */
5169  SCIP_CALL( SCIPparseVarsLinearsum(scip, str, vars, coefs, &nvars, 2, &requiredsize, &endstr, success) );
5170 
5171  if( requiredsize == 2 && *success )
5172  {
5173  SCIP_Real value;
5174 
5175  assert(nvars == 2);
5176  assert(SCIPisEQ(scip, coefs[0], 1.0));
5177 
5178  SCIPdebugMsg(scip, "found linear sum <%s> + %g <%s>\n", SCIPvarGetName(vars[0]), coefs[1], SCIPvarGetName(vars[1]));
5179 
5180  /* ignore whitespace */
5181  SCIP_CALL( SCIPskipSpace(&endstr) );
5182 
5183  str = endstr;
5184 
5185  if( *str != '\0' && *(str+1) != '\0' && SCIPparseReal(scip, str+2, &value, &endstr) )
5186  {
5187  /* search for end of linear sum: either '<=', '>=', '==', or '[free]' */
5188  switch( *str )
5189  {
5190  case '<':
5191  assert(str[1] == '=');
5192  rhs = value;
5193  break;
5194  case '=':
5195  assert(str[1] == '=');
5196  assert(SCIPisInfinity(scip, -lhs));
5197  lhs = value;
5198  rhs = value;
5199  break;
5200  case '>':
5201  assert(str[1] == '=');
5202  assert(SCIPisInfinity(scip, -lhs));
5203  lhs = value;
5204  break;
5205  default:
5206  SCIPerrorMessage("missing relation symbol after linear sum\n");
5207  *success = FALSE;
5208  }
5209  }
5210  else if( strncmp(str, "[free]", 6) != 0 )
5211  *success = FALSE;
5212  }
5213 
5214  if( *success )
5215  {
5216  SCIP_CALL( SCIPcreateConsVarbound(scip, cons, name, vars[0], vars[1], coefs[1], lhs, rhs,
5217  initial, separate, enforce, check, propagate, local, modifiable, dynamic, removable, stickingatnode) );
5218  }
5219 
5220  /* free buffer arrays */
5221  SCIPfreeBufferArray(scip, &coefs);
5222  SCIPfreeBufferArray(scip, &vars);
5223 
5224  return SCIP_OKAY;
5225 }
5226 
5227 /** constraint method of constraint handler which returns the variables (if possible) */
5228 static
5229 SCIP_DECL_CONSGETVARS(consGetVarsVarbound)
5230 { /*lint --e{715}*/
5231  assert( success != NULL );
5232 
5233  if( varssize < 2 )
5234  (*success) = FALSE;
5235  else
5236  {
5237  SCIP_CONSDATA* consdata;
5238  assert(cons != NULL);
5239  assert(vars != NULL);
5240 
5241  consdata = SCIPconsGetData(cons);
5242  assert(consdata != NULL);
5243 
5244  vars[0] = consdata->var;
5245  vars[1] = consdata->vbdvar;
5246  (*success) = TRUE;
5247  }
5248 
5249  return SCIP_OKAY;
5250 }
5251 
5252 /** constraint method of constraint handler which returns the number of variables (if possible) */
5253 static
5254 SCIP_DECL_CONSGETNVARS(consGetNVarsVarbound)
5255 { /*lint --e{715}*/
5256  (*nvars) = 2;
5257  (*success) = TRUE;
5258 
5259  return SCIP_OKAY;
5260 }
5261 
5262 /** constraint handler method which returns the permutation symmetry detection graph of a constraint */
5263 static
5264 SCIP_DECL_CONSGETPERMSYMGRAPH(consGetPermsymGraphVarbound)
5265 { /*lint --e{715}*/
5266  SCIP_CALL( addSymmetryInformation(scip, SYM_SYMTYPE_PERM, cons, graph, success) );
5267 
5268  return SCIP_OKAY;
5269 }
5270 
5271 /** constraint handler method which returns the signed permutation symmetry detection graph of a constraint */
5272 static
5273 SCIP_DECL_CONSGETSIGNEDPERMSYMGRAPH(consGetSignedPermsymGraphVarbound)
5274 { /*lint --e{715}*/
5275  SCIP_CALL( addSymmetryInformation(scip, SYM_SYMTYPE_SIGNPERM, cons, graph, success) );
5276 
5277  return SCIP_OKAY;
5278 }
5279 
5280 /*
5281  * Event Handler
5282  */
5283 
5284 /** execution method of bound change event handler */
5285 static
5286 SCIP_DECL_EVENTEXEC(eventExecVarbound)
5287 { /*lint --e{715}*/
5288  SCIP_CONS* cons;
5289  SCIP_CONSDATA* consdata;
5290 
5291  assert(event != NULL);
5292  cons = (SCIP_CONS*)eventdata;
5293  assert(cons != NULL);
5294  consdata = SCIPconsGetData(cons);
5295  assert(consdata != NULL);
5296 
5298  {
5299  consdata->presolved = FALSE;
5300  }
5301  else
5302  {
5303  assert((SCIPeventGetType(event) & SCIP_EVENTTYPE_BOUNDTIGHTENED) != 0);
5304 
5305  consdata->presolved = FALSE;
5306  consdata->tightened = FALSE;
5307 
5308  SCIP_CALL( SCIPmarkConsPropagate(scip, cons) );
5309  }
5310 
5311  return SCIP_OKAY;
5312 }
5313 
5314 /**@} */
5315 
5316 
5317 /** creates the handler for variable bound constraints and includes it in SCIP */
5319  SCIP* scip /**< SCIP data structure */
5320  )
5321 {
5322  SCIP_CONSHDLRDATA* conshdlrdata;
5323  SCIP_EVENTHDLR* eventhdlr;
5324  SCIP_CONSHDLR* conshdlr;
5325 
5326  /* include event handler for bound change events */
5328  eventExecVarbound, NULL) );
5329 
5330  /* create variable bound constraint handler data */
5331  SCIP_CALL( conshdlrdataCreate(scip, &conshdlrdata, eventhdlr) );
5332 
5333  /* include constraint handler */
5336  consEnfolpVarbound, consEnfopsVarbound, consCheckVarbound, consLockVarbound,
5337  conshdlrdata) );
5338  assert(conshdlr != NULL);
5339 
5340  /* set non-fundamental callbacks via specific setter functions */
5341  SCIP_CALL( SCIPsetConshdlrCopy(scip, conshdlr, conshdlrCopyVarbound, consCopyVarbound) );
5342  SCIP_CALL( SCIPsetConshdlrActive(scip, conshdlr, consActiveVarbound) );
5343  SCIP_CALL( SCIPsetConshdlrDeactive(scip, conshdlr, consDeactiveVarbound) );
5344  SCIP_CALL( SCIPsetConshdlrDelete(scip, conshdlr, consDeleteVarbound) );
5345  SCIP_CALL( SCIPsetConshdlrInitsol(scip, conshdlr, consInitsolVarbound) );
5346  SCIP_CALL( SCIPsetConshdlrExitsol(scip, conshdlr, consExitsolVarbound) );
5347  SCIP_CALL( SCIPsetConshdlrFree(scip, conshdlr, consFreeVarbound) );
5348  SCIP_CALL( SCIPsetConshdlrGetVars(scip, conshdlr, consGetVarsVarbound) );
5349  SCIP_CALL( SCIPsetConshdlrGetNVars(scip, conshdlr, consGetNVarsVarbound) );
5350  SCIP_CALL( SCIPsetConshdlrInitlp(scip, conshdlr, consInitlpVarbound) );
5351  SCIP_CALL( SCIPsetConshdlrParse(scip, conshdlr, consParseVarbound) );
5352  SCIP_CALL( SCIPsetConshdlrPresol(scip, conshdlr, consPresolVarbound, CONSHDLR_MAXPREROUNDS, CONSHDLR_PRESOLTIMING) );
5353  SCIP_CALL( SCIPsetConshdlrPrint(scip, conshdlr, consPrintVarbound) );
5354  SCIP_CALL( SCIPsetConshdlrProp(scip, conshdlr, consPropVarbound, CONSHDLR_PROPFREQ, CONSHDLR_DELAYPROP,
5356  SCIP_CALL( SCIPsetConshdlrResprop(scip, conshdlr, consRespropVarbound) );
5357  SCIP_CALL( SCIPsetConshdlrSepa(scip, conshdlr, consSepalpVarbound, consSepasolVarbound, CONSHDLR_SEPAFREQ,
5359  SCIP_CALL( SCIPsetConshdlrTrans(scip, conshdlr, consTransVarbound) );
5360  SCIP_CALL( SCIPsetConshdlrEnforelax(scip, conshdlr, consEnforelaxVarbound) );
5361  SCIP_CALL( SCIPsetConshdlrGetPermsymGraph(scip, conshdlr, consGetPermsymGraphVarbound) );
5362  SCIP_CALL( SCIPsetConshdlrGetSignedPermsymGraph(scip, conshdlr, consGetSignedPermsymGraphVarbound) );
5363 
5364  if( SCIPfindConshdlr(scip,"linear") != NULL )
5365  {
5366  /* include the linear constraint to varbound constraint upgrade in the linear constraint handler */
5368  }
5369 
5370  /* add varbound constraint handler parameters */
5372  "constraints/" CONSHDLR_NAME "/presolpairwise",
5373  "should pairwise constraint comparison be performed in presolving?",
5374  &conshdlrdata->presolpairwise, TRUE, DEFAULT_PRESOLPAIRWISE, NULL, NULL) );
5376  "constraints/" CONSHDLR_NAME "/maxlpcoef",
5377  "maximum coefficient in varbound constraint to be added as a row into LP",
5378  &conshdlrdata->maxlpcoef, TRUE, DEFAULT_MAXLPCOEF, 0.0, 1e+20, NULL, NULL) );
5380  "constraints/" CONSHDLR_NAME "/usebdwidening", "should bound widening be used in conflict analysis?",
5381  &conshdlrdata->usebdwidening, FALSE, DEFAULT_USEBDWIDENING, NULL, NULL) );
5382 
5383  return SCIP_OKAY;
5384 }
5385 
5386 /** creates and captures a variable bound constraint: lhs <= x + c*y <= rhs
5387  *
5388  * @note the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()
5389  */
5391  SCIP* scip, /**< SCIP data structure */
5392  SCIP_CONS** cons, /**< pointer to hold the created constraint */
5393  const char* name, /**< name of constraint */
5394  SCIP_VAR* var, /**< variable x that has variable bound */
5395  SCIP_VAR* vbdvar, /**< binary, integer or implicit integer bounding variable y */
5396  SCIP_Real vbdcoef, /**< coefficient c of bounding variable y */
5397  SCIP_Real lhs, /**< left hand side of variable bound inequality */
5398  SCIP_Real rhs, /**< right hand side of variable bound inequality */
5399  SCIP_Bool initial, /**< should the LP relaxation of constraint be in the initial LP?
5400  * Usually set to TRUE. Set to FALSE for 'lazy constraints'. */
5401  SCIP_Bool separate, /**< should the constraint be separated during LP processing?
5402  * Usually set to TRUE. */
5403  SCIP_Bool enforce, /**< should the constraint be enforced during node processing?
5404  * TRUE for model constraints, FALSE for additional, redundant constraints. */
5405  SCIP_Bool check, /**< should the constraint be checked for feasibility?
5406  * TRUE for model constraints, FALSE for additional, redundant constraints. */
5407  SCIP_Bool propagate, /**< should the constraint be propagated during node processing?
5408  * Usually set to TRUE. */
5409  SCIP_Bool local, /**< is constraint only valid locally?
5410  * Usually set to FALSE. Has to be set to TRUE, e.g., for branching constraints. */
5411  SCIP_Bool modifiable, /**< is constraint modifiable (subject to column generation)?
5412  * Usually set to FALSE. In column generation applications, set to TRUE if pricing
5413  * adds coefficients to this constraint. */
5414  SCIP_Bool dynamic, /**< is constraint subject to aging?
5415  * Usually set to FALSE. Set to TRUE for own cuts which
5416  * are separated as constraints. */
5417  SCIP_Bool removable, /**< should the relaxation be removed from the LP due to aging or cleanup?
5418  * Usually set to FALSE. Set to TRUE for 'lazy constraints' and 'user cuts'. */
5419  SCIP_Bool stickingatnode /**< should the constraint always be kept at the node where it was added, even
5420  * if it may be moved to a more global node?
5421  * Usually set to FALSE. Set to TRUE to for constraints that represent node data. */
5422  )
5423 {
5424  SCIP_CONSHDLR* conshdlr;
5425  SCIP_CONSHDLRDATA* conshdlrdata;
5426  SCIP_CONSDATA* consdata;
5427 
5428  /* find the variable bound constraint handler */
5429  conshdlr = SCIPfindConshdlr(scip, CONSHDLR_NAME);
5430  if( conshdlr == NULL )
5431  {
5432  SCIPerrorMessage("variable bound constraint handler not found\n");
5433  return SCIP_PLUGINNOTFOUND;
5434  }
5435 
5436  conshdlrdata = SCIPconshdlrGetData(conshdlr);
5437  assert(conshdlrdata != NULL);
5438 
5439  /* create constraint data */
5440  SCIP_CALL( consdataCreate(scip, &consdata, var, vbdvar, vbdcoef, lhs, rhs) );
5441 
5442  /* create constraint */
5443  SCIP_CALL( SCIPcreateCons(scip, cons, name, conshdlr, consdata, initial, separate, enforce, check, propagate,
5444  local, modifiable, dynamic, removable, stickingatnode) );
5445 
5446  if( SCIPisTransformed(scip) )
5447  {
5448  /* catch events for variables */
5449  SCIP_CALL( catchEvents(scip, *cons, conshdlrdata->eventhdlr) );
5450  }
5451 
5452  return SCIP_OKAY;
5453 }
5454 
5455 /** creates and captures a variable bound constraint: lhs <= x + c*y <= rhs
5456  * with all constraint flags set to their default values
5457  *
5458  * @note the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()
5459  */
5461  SCIP* scip, /**< SCIP data structure */
5462  SCIP_CONS** cons, /**< pointer to hold the created constraint */
5463  const char* name, /**< name of constraint */
5464  SCIP_VAR* var, /**< variable x that has variable bound */
5465  SCIP_VAR* vbdvar, /**< binary, integer or implicit integer bounding variable y */
5466  SCIP_Real vbdcoef, /**< coefficient c of bounding variable y */
5467  SCIP_Real lhs, /**< left hand side of variable bound inequality */
5468  SCIP_Real rhs /**< right hand side of variable bound inequality */
5469  )
5470 {
5471  SCIP_CALL( SCIPcreateConsVarbound(scip, cons, name, var, vbdvar,vbdcoef, lhs, rhs,
5472  TRUE, TRUE, TRUE, TRUE, TRUE, FALSE, FALSE, FALSE, FALSE, FALSE) );
5473 
5474  return SCIP_OKAY;
5475 }
5476 
5477 /** gets left hand side of variable bound constraint lhs <= x + c*y <= rhs */
5479  SCIP* scip, /**< SCIP data structure */
5480  SCIP_CONS* cons /**< constraint data */
5481  )
5482 {
5483  SCIP_CONSDATA* consdata;
5484 
5485  assert(scip != NULL);
5486 
5487  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5488  {
5489  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5490  SCIPABORT();
5491  return SCIP_INVALID; /*lint !e527*/
5492  }
5493 
5494  consdata = SCIPconsGetData(cons);
5495  assert(consdata != NULL);
5496 
5497  return consdata->lhs;
5498 }
5499 
5500 /** gets right hand side of variable bound constraint lhs <= x + c*y <= rhs */
5502  SCIP* scip, /**< SCIP data structure */
5503  SCIP_CONS* cons /**< constraint data */
5504  )
5505 {
5506  SCIP_CONSDATA* consdata;
5507 
5508  assert(scip != NULL);
5509 
5510  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5511  {
5512  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5513  SCIPABORT();
5514  return SCIP_INVALID; /*lint !e527*/
5515  }
5516 
5517  consdata = SCIPconsGetData(cons);
5518  assert(consdata != NULL);
5519 
5520  return consdata->rhs;
5521 }
5522 
5523 /** gets bounded variable x of variable bound constraint lhs <= x + c*y <= rhs */
5525  SCIP* scip, /**< SCIP data structure */
5526  SCIP_CONS* cons /**< constraint data */
5527  )
5528 {
5529  SCIP_CONSDATA* consdata;
5530 
5531  assert(scip != NULL);
5532 
5533  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5534  {
5535  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5536  SCIPABORT();
5537  return NULL; /*lint !e527*/
5538  }
5539 
5540  consdata = SCIPconsGetData(cons);
5541  assert(consdata != NULL);
5542 
5543  return consdata->var;
5544 }
5545 
5546 /** gets bounding variable y of variable bound constraint lhs <= x + c*y <= rhs */
5548  SCIP* scip, /**< SCIP data structure */
5549  SCIP_CONS* cons /**< constraint data */
5550  )
5551 {
5552  SCIP_CONSDATA* consdata;
5553 
5554  assert(scip != NULL);
5555 
5556  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5557  {
5558  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5559  SCIPABORT();
5560  return NULL; /*lint !e527*/
5561  }
5562 
5563  consdata = SCIPconsGetData(cons);
5564  assert(consdata != NULL);
5565 
5566  return consdata->vbdvar;
5567 }
5568 
5569 /** gets bound coefficient c of variable bound constraint lhs <= x + c*y <= rhs */
5571  SCIP* scip, /**< SCIP data structure */
5572  SCIP_CONS* cons /**< constraint data */
5573  )
5574 {
5575  SCIP_CONSDATA* consdata;
5576 
5577  assert(scip != NULL);
5578 
5579  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5580  {
5581  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5582  SCIPABORT();
5583  return SCIP_INVALID; /*lint !e527*/
5584  }
5585 
5586  consdata = SCIPconsGetData(cons);
5587  assert(consdata != NULL);
5588 
5589  return consdata->vbdcoef;
5590 }
5591 
5592 /** gets the dual solution of the variable bound constraint in the current LP */
5594  SCIP* scip, /**< SCIP data structure */
5595  SCIP_CONS* cons /**< constraint data */
5596  )
5597 {
5598  SCIP_CONSDATA* consdata;
5599 
5600  assert(scip != NULL);
5601 
5602  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5603  {
5604  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5605  SCIPABORT();
5606  return SCIP_INVALID; /*lint !e527*/
5607  }
5608 
5609  consdata = SCIPconsGetData(cons);
5610  assert(consdata != NULL);
5611 
5612  if( consdata->row != NULL )
5613  return SCIProwGetDualsol(consdata->row);
5614  else
5615  return 0.0;
5616 }
5617 
5618 /** gets the dual Farkas value of the variable bound constraint in the current infeasible LP */
5620  SCIP* scip, /**< SCIP data structure */
5621  SCIP_CONS* cons /**< constraint data */
5622  )
5623 {
5624  SCIP_CONSDATA* consdata;
5625 
5626  assert(scip != NULL);
5627 
5628  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5629  {
5630  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5631  SCIPABORT();
5632  return SCIP_INVALID; /*lint !e527*/
5633  }
5634 
5635  consdata = SCIPconsGetData(cons);
5636  assert(consdata != NULL);
5637 
5638  if( consdata->row != NULL )
5639  return SCIProwGetDualfarkas(consdata->row);
5640  else
5641  return 0.0;
5642 }
5643 
5644 /** returns the linear relaxation of the given variable bound constraint; may return NULL if no LP row was yet created;
5645  * the user must not modify the row!
5646  */
5648  SCIP* scip, /**< SCIP data structure */
5649  SCIP_CONS* cons /**< constraint data */
5650  )
5651 {
5652  SCIP_CONSDATA* consdata;
5653 
5654  assert(scip != NULL);
5655 
5656  if( strcmp(SCIPconshdlrGetName(SCIPconsGetHdlr(cons)), CONSHDLR_NAME) != 0 )
5657  {
5658  SCIPerrorMessage("constraint is not a variable bound constraint\n");
5659  SCIPABORT();
5660  return NULL; /*lint !e527*/
5661  }
5662 
5663  consdata = SCIPconsGetData(cons);
5664  assert(consdata != NULL);
5665 
5666  return consdata->row;
5667 }
5668 
5669 /** cleans up (multi-)aggregations and fixings from varbound constraints */
5671  SCIP* scip, /**< SCIP data structure */
5672  SCIP_Bool onlychecked, /**< should only checked constraints be cleaned up? */
5673  SCIP_Bool* infeasible, /**< pointer to return whether the problem was detected to be infeasible */
5674  int* naddconss, /**< pointer to count number of added (linear) constraints */
5675  int* ndelconss, /**< pointer to count number of deleted (varbound) constraints */
5676  int* nchgbds /**< pointer to count number of bound changes */
5677  )
5678 {
5679  SCIP_CONSHDLR* conshdlr;
5680  SCIP_CONSHDLRDATA* conshdlrdata;
5681  SCIP_EVENTHDLR* eventhdlr;
5682  SCIP_CONS** conss;
5683  int nconss;
5684  int i;
5685 
5686  conshdlr = SCIPfindConshdlr(scip, CONSHDLR_NAME);
5687  if( conshdlr == NULL )
5688  return SCIP_OKAY;
5689 
5690  assert(infeasible != NULL);
5691  *infeasible = FALSE;
5692 
5693  assert(naddconss != NULL);
5694  assert(ndelconss != NULL);
5695  assert(nchgbds != NULL);
5696 
5697  conshdlrdata = SCIPconshdlrGetData(conshdlr);
5698  assert(conshdlrdata != NULL);
5699 
5700  eventhdlr = conshdlrdata->eventhdlr;
5701  nconss = onlychecked ? SCIPconshdlrGetNCheckConss(conshdlr) : SCIPconshdlrGetNActiveConss(conshdlr);
5702  conss = onlychecked ? SCIPconshdlrGetCheckConss(conshdlr) : SCIPconshdlrGetConss(conshdlr);
5703 
5704  /* loop backwards since then deleted constraints do not interfere with the loop */
5705  for( i = nconss - 1; i >= 0; --i )
5706  {
5707  SCIP_CALL( applyFixings(scip, conss[i], eventhdlr, infeasible, nchgbds, ndelconss, naddconss) );
5708 
5709  if( *infeasible )
5710  break;
5711  }
5712 
5713  return SCIP_OKAY;
5714 }
enum SCIP_Result SCIP_RESULT
Definition: type_result.h:61
static void prettifyConss(SCIP *scip, SCIP_CONS **conss, int nconss, int *nchgcoefs, int *nchgsides)
enum SCIP_BoundType SCIP_BOUNDTYPE
Definition: type_lp.h:59
void SCIPconshdlrSetData(SCIP_CONSHDLR *conshdlr, SCIP_CONSHDLRDATA *conshdlrdata)
Definition: cons.c:4229
int SCIPgetNIntVars(SCIP *scip)
Definition: scip_prob.c:2082
SCIP_Bool SCIPisFeasZero(SCIP *scip, SCIP_Real val)
#define CONSHDLR_PROP_TIMING
SCIP_RETCODE SCIPincConsAge(SCIP *scip, SCIP_CONS *cons)
Definition: scip_cons.c:1785
SCIP_RETCODE SCIPcreateEmptyRowCons(SCIP *scip, SCIP_ROW **row, SCIP_CONS *cons, const char *name, SCIP_Real lhs, SCIP_Real rhs, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool removable)
Definition: scip_lp.c:1422
SCIP_RETCODE SCIPsetConshdlrDelete(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSDELETE((*consdelete)))
Definition: scip_cons.c:578
SCIP_Bool SCIPinRepropagation(SCIP *scip)
Definition: scip_tree.c:146
static SCIP_RETCODE separateCons(SCIP *scip, SCIP_CONS *cons, SCIP_Bool usebdwidening, SCIP_SOL *sol, SCIP_RESULT *result)
static void conshdlrdataFree(SCIP *scip, SCIP_CONSHDLRDATA **conshdlrdata)
#define NULL
Definition: def.h:267
SCIP_Real SCIPfeastol(SCIP *scip)
SCIP_RETCODE SCIPskipSpace(char **s)
Definition: misc.c:10866
static SCIP_DECL_CONSPROP(consPropVarbound)
SCIP_Bool SCIPisNLPConstructed(SCIP *scip)
Definition: scip_nlp.c:110
SCIP_RETCODE SCIPtightenVarLb(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound, SCIP_Bool force, SCIP_Bool *infeasible, SCIP_Bool *tightened)
Definition: scip_var.c:5205
enum Proprule PROPRULE
#define CONSHDLR_DELAYSEPA
Definition: cons_varbound.c:99
SCIP_Bool SCIPisFeasEQ(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
public methods for SCIP parameter handling
int SCIPvarGetNLocksDownType(SCIP_VAR *var, SCIP_LOCKTYPE locktype)
Definition: var.c:3296
SCIP_STAGE SCIPgetStage(SCIP *scip)
Definition: scip_general.c:380
static SCIP_RETCODE chgLhs(SCIP *scip, SCIP_CONS *cons, SCIP_Real lhs)
#define SCIP_EVENTTYPE_VARFIXED
Definition: type_event.h:72
SCIP_Bool SCIPconsIsDynamic(SCIP_CONS *cons)
Definition: cons.c:8475
#define CONSHDLR_DESC
Definition: cons_varbound.c:89
SCIP_RETCODE SCIPsetConshdlrTrans(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSTRANS((*constrans)))
Definition: scip_cons.c:601
SCIP_Bool SCIPisFeasLT(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
static SCIP_RETCODE consdataCreate(SCIP *scip, SCIP_CONSDATA **consdata, SCIP_VAR *var, SCIP_VAR *vbdvar, SCIP_Real vbdcoef, SCIP_Real lhs, SCIP_Real rhs)
Constraint handler for variable bound constraints .
#define SCIPquadprecSumQD(r, a, b)
Definition: dbldblarith.h:62
static SCIP_RETCODE resolvePropagation(SCIP *scip, SCIP_CONS *cons, SCIP_VAR *infervar, PROPRULE proprule, SCIP_BOUNDTYPE boundtype, SCIP_BDCHGIDX *bdchgidx, SCIP_Real inferbd, SCIP_Bool usebdwidening)
public methods for memory management
SCIP_RETCODE SCIPcatchVarEvent(SCIP *scip, SCIP_VAR *var, SCIP_EVENTTYPE eventtype, SCIP_EVENTHDLR *eventhdlr, SCIP_EVENTDATA *eventdata, int *filterpos)
Definition: scip_event.c:354
SCIP_CONSHDLR * SCIPfindConshdlr(SCIP *scip, const char *name)
Definition: scip_cons.c:941
SCIP_Real SCIPgetLhsVarbound(SCIP *scip, SCIP_CONS *cons)
SCIP_Real SCIPvarGetLbGlobal(SCIP_VAR *var)
Definition: var.c:18079
static SCIP_DECL_CONSSEPALP(consSepalpVarbound)
SCIP_RETCODE SCIPsetConshdlrGetVars(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSGETVARS((*consgetvars)))
Definition: scip_cons.c:831
SCIP_RETCODE SCIPcopyConsLinear(SCIP *scip, SCIP_CONS **cons, SCIP *sourcescip, const char *name, int nvars, SCIP_VAR **sourcevars, SCIP_Real *sourcecoefs, SCIP_Real lhs, SCIP_Real rhs, SCIP_HASHMAP *varmap, SCIP_HASHMAP *consmap, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode, SCIP_Bool global, SCIP_Bool *valid)
static SCIP_DECL_CONSINITLP(consInitlpVarbound)
int SCIPvarGetNLocksUpType(SCIP_VAR *var, SCIP_LOCKTYPE locktype)
Definition: var.c:3354
SCIP_Bool SCIPparseReal(SCIP *scip, const char *str, SCIP_Real *value, char **endptr)
static SCIP_RETCODE chgRhs(SCIP *scip, SCIP_CONS *cons, SCIP_Real rhs)
public methods for conflict handler plugins and conflict analysis
static SCIP_DECL_CONSENFOLP(consEnfolpVarbound)
SCIP_RETCODE SCIPsetConshdlrEnforelax(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSENFORELAX((*consenforelax)))
Definition: scip_cons.c:323
#define SCIP_VARTYPE_INTEGER_CHAR
Definition: def.h:145
SCIP_RETCODE SCIPresetConsAge(SCIP *scip, SCIP_CONS *cons)
Definition: scip_cons.c:1813
SCIP_RETCODE SCIPdelCons(SCIP *scip, SCIP_CONS *cons)
Definition: scip_prob.c:2843
SCIP_RETCODE SCIPaddVarToRow(SCIP *scip, SCIP_ROW *row, SCIP_VAR *var, SCIP_Real val)
Definition: scip_lp.c:1701
#define CONSHDLR_SEPAFREQ
Definition: cons_varbound.c:93
SCIP_Bool SCIPisPositive(SCIP *scip, SCIP_Real val)
SCIP_Real SCIPvarGetLbLocal(SCIP_VAR *var)
Definition: var.c:18135
SCIP_Bool SCIPisGE(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
SCIP_RETCODE SCIPsetConshdlrDeactive(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSDEACTIVE((*consdeactive)))
Definition: scip_cons.c:693
SCIP_RETCODE SCIPincludeEventhdlrBasic(SCIP *scip, SCIP_EVENTHDLR **eventhdlrptr, const char *name, const char *desc, SCIP_DECL_EVENTEXEC((*eventexec)), SCIP_EVENTHDLRDATA *eventhdlrdata)
Definition: scip_event.c:104
SCIP_RETCODE SCIPgetTransformedVar(SCIP *scip, SCIP_VAR *var, SCIP_VAR **transvar)
Definition: scip_var.c:1441
SCIP_RETCODE SCIPupdateConsFlags(SCIP *scip, SCIP_CONS *cons0, SCIP_CONS *cons1)
Definition: scip_cons.c:1525
SCIP_RETCODE SCIPreleaseVar(SCIP *scip, SCIP_VAR **var)
Definition: scip_var.c:1250
SCIP_Bool SCIPvarIsBinary(SCIP_VAR *var)
Definition: var.c:17600
static SCIP_DECL_CONSGETSIGNEDPERMSYMGRAPH(consGetSignedPermsymGraphVarbound)
#define CONSHDLR_MAXPREROUNDS
Definition: cons_varbound.c:98
SCIP_Bool SCIPisFeasNegative(SCIP *scip, SCIP_Real val)
static SCIP_RETCODE addNlrow(SCIP *scip, SCIP_CONS *cons)
SCIP_Bool SCIPisFeasGE(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
static SCIP_DECL_CONSTRANS(consTransVarbound)
SCIP_CONS ** SCIPconshdlrGetConss(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4595
#define FALSE
Definition: def.h:94
SCIP_Real SCIPadjustedVarUb(SCIP *scip, SCIP_VAR *var, SCIP_Real ub)
Definition: scip_var.c:4647
SCIP_Real SCIPgetDualsolVarbound(SCIP *scip, SCIP_CONS *cons)
SCIP_Real SCIPrelDiff(SCIP_Real val1, SCIP_Real val2)
Definition: misc.c:11184
SCIP_RETCODE SCIPincludeConshdlrBasic(SCIP *scip, SCIP_CONSHDLR **conshdlrptr, const char *name, const char *desc, int enfopriority, int chckpriority, int eagerfreq, SCIP_Bool needscons, SCIP_DECL_CONSENFOLP((*consenfolp)), SCIP_DECL_CONSENFOPS((*consenfops)), SCIP_DECL_CONSCHECK((*conscheck)), SCIP_DECL_CONSLOCK((*conslock)), SCIP_CONSHDLRDATA *conshdlrdata)
Definition: scip_cons.c:181
SCIP_Real SCIPinfinity(SCIP *scip)
SCIP_Bool SCIPisNegative(SCIP *scip, SCIP_Real val)
#define TRUE
Definition: def.h:93
#define SCIPdebug(x)
Definition: pub_message.h:93
SCIP_RETCODE SCIPunmarkConsPropagate(SCIP *scip, SCIP_CONS *cons)
Definition: scip_cons.c:2043
SCIP_Real SCIPgetConflictVarUb(SCIP *scip, SCIP_VAR *var)
enum SCIP_Retcode SCIP_RETCODE
Definition: type_retcode.h:63
SCIP_RETCODE SCIPaddConflictUb(SCIP *scip, SCIP_VAR *var, SCIP_BDCHGIDX *bdchgidx)
SCIP_Bool SCIPconsIsStickingAtNode(SCIP_CONS *cons)
Definition: cons.c:8495
static SCIP_DECL_CONSGETVARS(consGetVarsVarbound)
static SCIP_RETCODE conshdlrdataCreate(SCIP *scip, SCIP_CONSHDLRDATA **conshdlrdata, SCIP_EVENTHDLR *eventhdlr)
SCIP_RETCODE SCIPcleanupConssVarbound(SCIP *scip, SCIP_Bool onlychecked, SCIP_Bool *infeasible, int *naddconss, int *ndelconss, int *nchgbds)
SCIP_Bool SCIPconsIsTransformed(SCIP_CONS *cons)
Definition: cons.c:8525
public methods for problem variables
SCIP_RETCODE SCIPaddConflictRelaxedLb(SCIP *scip, SCIP_VAR *var, SCIP_BDCHGIDX *bdchgidx, SCIP_Real relaxedlb)
SCIP_RETCODE SCIPinitConflictAnalysis(SCIP *scip, SCIP_CONFTYPE conftype, SCIP_Bool iscutoffinvolved)
SCIP_RETCODE SCIPtightenVarUb(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound, SCIP_Bool force, SCIP_Bool *infeasible, SCIP_Bool *tightened)
Definition: scip_var.c:5322
#define SCIPfreeBlockMemory(scip, ptr)
Definition: scip_mem.h:108
SCIP_RETCODE SCIPsetConshdlrSepa(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSSEPALP((*conssepalp)), SCIP_DECL_CONSSEPASOL((*conssepasol)), int sepafreq, int sepapriority, SCIP_Bool delaysepa)
Definition: scip_cons.c:235
#define CONSHDLR_NAME
Definition: cons_varbound.c:88
#define DEFAULT_PRESOLPAIRWISE
#define SCIPduplicateBufferArray(scip, ptr, source, num)
Definition: scip_mem.h:132
SCIP_ROW * SCIPgetRowVarbound(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPchgVarLb(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound)
Definition: scip_var.c:4678
SCIP_Bool SCIPisEQ(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
SCIP_RETCODE SCIPaddVarVlb(SCIP *scip, SCIP_VAR *var, SCIP_VAR *vlbvar, SCIP_Real vlbcoef, SCIP_Real vlbconstant, SCIP_Bool *infeasible, int *nbdchgs)
Definition: scip_var.c:6663
#define SCIPfreeBufferArray(scip, ptr)
Definition: scip_mem.h:136
#define QUAD_ASSIGN(a, constant)
Definition: dbldblarith.h:51
SCIP_VAR * SCIPgetVarVarbound(SCIP *scip, SCIP_CONS *cons)
defines macros for basic operations in double-double arithmetic giving roughly twice the precision of...
SCIP_Real SCIPadjustedVarLb(SCIP *scip, SCIP_VAR *var, SCIP_Real lb)
Definition: scip_var.c:4615
Constraint handler for the set partitioning / packing / covering constraints .
#define SCIPallocBlockMemory(scip, ptr)
Definition: scip_mem.h:89
static SCIP_DECL_LINCONSUPGD(linconsUpgdVarbound)
#define SCIPdebugPrintCons(x, y, z)
Definition: pub_message.h:102
SCIP_Bool SCIPisTransformed(SCIP *scip)
Definition: scip_general.c:590
SCIP_RETCODE SCIPaddVarVub(SCIP *scip, SCIP_VAR *var, SCIP_VAR *vubvar, SCIP_Real vubcoef, SCIP_Real vubconstant, SCIP_Bool *infeasible, int *nbdchgs)
Definition: scip_var.c:6722
public methods for SCIP variables
SCIP_RETCODE SCIPcreateConsBasicVarbound(SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_VAR *var, SCIP_VAR *vbdvar, SCIP_Real vbdcoef, SCIP_Real lhs, SCIP_Real rhs)
SCIP_Bool SCIPconsIsRemovable(SCIP_CONS *cons)
Definition: cons.c:8485
SCIP_RETCODE SCIPsetConshdlrInitlp(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSINITLP((*consinitlp)))
Definition: scip_cons.c:624
SCIP_Real SCIProwGetDualsol(SCIP_ROW *row)
Definition: lp.c:17312
#define SCIPdebugMsg
Definition: scip_message.h:78
static SCIP_DECL_CONSPARSE(consParseVarbound)
SCIP_RETCODE SCIPsetConshdlrParse(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSPARSE((*consparse)))
Definition: scip_cons.c:808
#define SCIPquadprecDivQD(r, a, b)
Definition: dbldblarith.h:65
SCIP_Bool SCIPconsIsActive(SCIP_CONS *cons)
Definition: cons.c:8277
SCIP_RETCODE SCIPaddCoefLinear(SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real val)
void SCIPinfoMessage(SCIP *scip, FILE *file, const char *formatstr,...)
Definition: scip_message.c:208
SCIP_RETCODE SCIPcreateCons(SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_CONSHDLR *conshdlr, SCIP_CONSDATA *consdata, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode)
Definition: scip_cons.c:998
SCIP_Real SCIPepsilon(SCIP *scip)
SCIP_RETCODE SCIPparseVarsLinearsum(SCIP *scip, const char *str, SCIP_VAR **vars, SCIP_Real *vals, int *nvars, int varssize, int *requiredsize, char **endptr, SCIP_Bool *success)
Definition: scip_var.c:704
SCIP_RETCODE SCIPaddConflictLb(SCIP *scip, SCIP_VAR *var, SCIP_BDCHGIDX *bdchgidx)
#define QUAD_TO_DBL(x)
Definition: dbldblarith.h:49
real eps
SCIP_Real SCIPfeasCeil(SCIP *scip, SCIP_Real val)
public methods for numerical tolerances
SCIP_RETCODE SCIPcreateConsVarbound(SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_VAR *var, SCIP_VAR *vbdvar, SCIP_Real vbdcoef, SCIP_Real lhs, SCIP_Real rhs, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode)
SCIP_Real SCIPfeasFloor(SCIP *scip, SCIP_Real val)
SCIP_Bool SCIProwIsInLP(SCIP_ROW *row)
Definition: lp.c:17523
#define CONSHDLR_SEPAPRIORITY
Definition: cons_varbound.c:90
SCIP_RETCODE SCIPaddVarLocksType(SCIP *scip, SCIP_VAR *var, SCIP_LOCKTYPE locktype, int nlocksdown, int nlocksup)
Definition: scip_var.c:4261
SCIP_Bool SCIPisConflictAnalysisApplicable(SCIP *scip)
public methods for the branch-and-bound tree
SCIP_Bool SCIPrealToRational(SCIP_Real val, SCIP_Real mindelta, SCIP_Real maxdelta, SCIP_Longint maxdnom, SCIP_Longint *nominator, SCIP_Longint *denominator)
Definition: misc.c:9394
static SCIP_DECL_CONSEXITSOL(consExitsolVarbound)
static SCIP_DECL_EVENTEXEC(eventExecVarbound)
SCIP_Real SCIPvarGetUbGlobal(SCIP_VAR *var)
Definition: var.c:18089
SCIP_VAR * SCIPvarGetProbvar(SCIP_VAR *var)
Definition: var.c:12219
SCIP_RETCODE SCIPsetConshdlrInitsol(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSINITSOL((*consinitsol)))
Definition: scip_cons.c:444
public methods for managing constraints
SCIP_Real SCIPgetRhsVarbound(SCIP *scip, SCIP_CONS *cons)
methods for dealing with symmetry detection graphs
SCIP_Bool SCIPnlrowIsInNLP(SCIP_NLROW *nlrow)
Definition: nlp.c:1956
#define SCIP_PRESOLTIMING_MEDIUM
Definition: type_timing.h:53
SCIP_RETCODE SCIPsetConshdlrCopy(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSHDLRCOPY((*conshdlrcopy)), SCIP_DECL_CONSCOPY((*conscopy)))
Definition: scip_cons.c:347
SCIP_Real SCIPgetDualfarkasVarbound(SCIP *scip, SCIP_CONS *cons)
static SCIP_RETCODE preprocessConstraintPairs(SCIP *scip, SCIP_CONS **conss, int nconss, SCIP_Bool *cutoff, int *nchgbds, int *ndelconss, int *nchgcoefs, int *nchgsides)
#define SCIPerrorMessage
Definition: pub_message.h:64
const char * SCIPconshdlrGetName(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4199
SCIP_RETCODE SCIPaddCons(SCIP *scip, SCIP_CONS *cons)
Definition: scip_prob.c:2770
#define CONSHDLR_PRESOLTIMING
SCIP_Bool SCIPisLT(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
static SCIP_DECL_CONSHDLRCOPY(conshdlrCopyVarbound)
SCIP_RETCODE SCIPaddNlRow(SCIP *scip, SCIP_NLROW *nlrow)
Definition: scip_nlp.c:396
static SCIP_RETCODE addSymmetryInformation(SCIP *scip, SYM_SYMTYPE symtype, SCIP_CONS *cons, SYM_GRAPH *graph, SCIP_Bool *success)
SCIP_RETCODE SCIPdelConsLocal(SCIP *scip, SCIP_CONS *cons)
Definition: scip_prob.c:3474
public methods for event handler plugins and event handlers
SCIP_RETCODE SCIPsetConshdlrGetPermsymGraph(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSGETPERMSYMGRAPH((*consgetpermsymgraph)))
Definition: scip_cons.c:900
static SCIP_DECL_SORTPTRCOMP(consVarboundComp)
SCIP_RETCODE SCIPreleaseNlRow(SCIP *scip, SCIP_NLROW **nlrow)
Definition: scip_nlp.c:1058
SCIP_RETCODE SCIPgetProbvarSum(SCIP *scip, SCIP_VAR **var, SCIP_Real *scalar, SCIP_Real *constant)
Definition: scip_var.c:1796
#define EVENTHDLR_NAME
SCIP_Real SCIPgetConflictVarLb(SCIP *scip, SCIP_VAR *var)
SCIP_RETCODE SCIPunlockVarCons(SCIP *scip, SCIP_VAR *var, SCIP_CONS *cons, SCIP_Bool lockdown, SCIP_Bool lockup)
Definition: scip_var.c:4439
#define QUAD(x)
Definition: dbldblarith.h:47
const char * SCIPconsGetName(SCIP_CONS *cons)
Definition: cons.c:8216
SCIP_RETCODE SCIPchgVarUb(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound)
Definition: scip_var.c:4768
SCIP_Bool SCIPconsIsPropagated(SCIP_CONS *cons)
Definition: cons.c:8435
struct SCIP_EventData SCIP_EVENTDATA
Definition: type_event.h:173
const char * SCIPvarGetName(SCIP_VAR *var)
Definition: var.c:17420
SCIP_RETCODE SCIPsetConshdlrFree(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSFREE((*consfree)))
Definition: scip_cons.c:372
SCIP_CONSHDLRDATA * SCIPconshdlrGetData(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4219
SCIP_RETCODE SCIPtightenVarLbGlobal(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound, SCIP_Bool force, SCIP_Bool *infeasible, SCIP_Bool *tightened)
Definition: scip_var.c:6230
SCIP_RETCODE SCIPmarkConsPropagate(SCIP *scip, SCIP_CONS *cons)
Definition: scip_cons.c:2015
static SCIP_DECL_CONSCHECK(consCheckVarbound)
structs for symmetry computations
#define REALABS(x)
Definition: def.h:197
void SCIPsortPtr(void **ptrarray, SCIP_DECL_SORTPTRCOMP((*ptrcomp)), int len)
#define SCIP_CALL(x)
Definition: def.h:380
#define EVENTHDLR_DESC
enum Proprule PROPRULE
Definition: cons_and.c:180
SCIP_Bool SCIPisFeasGT(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
void SCIPupdateSolLPConsViolation(SCIP *scip, SCIP_SOL *sol, SCIP_Real absviol, SCIP_Real relviol)
Definition: scip_sol.c:141
SCIP_Bool SCIPisFeasLE(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
static SCIP_RETCODE propagateCons(SCIP *scip, SCIP_CONS *cons, SCIP_Bool usebdwidening, SCIP_Bool *cutoff, int *nchgbds, int *nchgsides, int *ndelconss)
SCIP_RETCODE SCIPanalyzeConflictCons(SCIP *scip, SCIP_CONS *cons, SCIP_Bool *success)
SCIP_Bool SCIPconsIsLocal(SCIP_CONS *cons)
Definition: cons.c:8455
#define DEFAULT_MAXLPCOEF
SCIP_RETCODE SCIPaddRow(SCIP *scip, SCIP_ROW *row, SCIP_Bool forcecut, SCIP_Bool *infeasible)
Definition: scip_cut.c:250
SCIP_RETCODE SCIPextendPermsymDetectionGraphLinear(SCIP *scip, SYM_GRAPH *graph, SCIP_VAR **vars, SCIP_Real *vals, int nvars, SCIP_CONS *cons, SCIP_Real lhs, SCIP_Real rhs, SCIP_Bool *success)
SCIP_RETCODE SCIPsetConshdlrResprop(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSRESPROP((*consresprop)))
Definition: scip_cons.c:647
static void checkRedundancySide(SCIP *scip, SCIP_VAR *var, SCIP_VAR *vbdvar, SCIP_Real coef0, SCIP_Real coef1, SCIP_Real side0, SCIP_Real side1, SCIP_Bool *sideequal, SCIP_Bool *cons0sidered, SCIP_Bool *cons1sidered, SCIP_Bool islhs)
#define SCIPquadprecProdDD(r, a, b)
Definition: dbldblarith.h:58
struct SCIP_ConsData SCIP_CONSDATA
Definition: type_cons.h:65
#define SCIP_EVENTTYPE_BOUNDTIGHTENED
Definition: type_event.h:123
#define CONSHDLR_DELAYPROP
public methods for constraint handler plugins and constraints
SCIP_VAR * SCIPgetVbdvarVarbound(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPcreateConsSetpack(SCIP *scip, SCIP_CONS **cons, const char *name, int nvars, SCIP_VAR **vars, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode)
Definition: cons_setppc.c:9417
#define SCIPallocBufferArray(scip, ptr, num)
Definition: scip_mem.h:124
#define SCIP_UNKNOWN
Definition: def.h:194
public data structures and miscellaneous methods
static SCIP_DECL_CONSFREE(consFreeVarbound)
#define SCIP_Bool
Definition: def.h:91
int SCIPgetNImplVars(SCIP *scip)
Definition: scip_prob.c:2127
SCIP_EVENTTYPE SCIPeventGetType(SCIP_EVENT *event)
Definition: event.c:1030
#define CONSHDLR_CHECKPRIORITY
Definition: cons_varbound.c:92
static SCIP_RETCODE analyzeConflict(SCIP *scip, SCIP_CONS *cons, SCIP_VAR *infervar, SCIP_Real inferbd, PROPRULE proprule, SCIP_BOUNDTYPE boundtype, SCIP_Bool usebdwidening)
SCIP_RETCODE SCIPprintCons(SCIP *scip, SCIP_CONS *cons, FILE *file)
Definition: scip_cons.c:2537
static SCIP_RETCODE addRelaxation(SCIP *scip, SCIP_CONS *cons, SCIP_Bool *infeasible)
static SCIP_DECL_CONSRESPROP(consRespropVarbound)
SCIP_CONSHDLR * SCIPconsGetHdlr(SCIP_CONS *cons)
Definition: cons.c:8236
#define MIN(x, y)
Definition: def.h:243
SCIP_RETCODE SCIPaddConflictRelaxedUb(SCIP *scip, SCIP_VAR *var, SCIP_BDCHGIDX *bdchgidx, SCIP_Real relaxedub)
public methods for LP management
SCIP_Bool SCIPconsIsDeleted(SCIP_CONS *cons)
Definition: cons.c:8345
public methods for cuts and aggregation rows
SCIP_Bool SCIPconsIsChecked(SCIP_CONS *cons)
Definition: cons.c:8415
SCIP_Bool SCIPconsIsInitial(SCIP_CONS *cons)
Definition: cons.c:8385
SCIP_Real SCIPvarGetObj(SCIP_VAR *var)
Definition: var.c:17927
SCIP_RETCODE SCIPdropVarEvent(SCIP *scip, SCIP_VAR *var, SCIP_EVENTTYPE eventtype, SCIP_EVENTHDLR *eventhdlr, SCIP_EVENTDATA *eventdata, int filterpos)
Definition: scip_event.c:400
SCIP_RETCODE SCIPcreateNlRow(SCIP *scip, SCIP_NLROW **nlrow, const char *name, SCIP_Real constant, int nlinvars, SCIP_VAR **linvars, SCIP_Real *lincoefs, SCIP_EXPR *expr, SCIP_Real lhs, SCIP_Real rhs, SCIP_EXPRCURV curvature)
Definition: scip_nlp.c:954
#define SCIPquadprecProdQD(r, a, b)
Definition: dbldblarith.h:63
SCIP_Real SCIPgetVbdcoefVarbound(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPfixVar(SCIP *scip, SCIP_VAR *var, SCIP_Real fixedval, SCIP_Bool *infeasible, SCIP_Bool *fixed)
Definition: scip_var.c:8278
SCIP_Real SCIProwGetDualfarkas(SCIP_ROW *row)
Definition: lp.c:17325
SCIP_RETCODE SCIPlockVarCons(SCIP *scip, SCIP_VAR *var, SCIP_CONS *cons, SCIP_Bool lockdown, SCIP_Bool lockup)
Definition: scip_var.c:4353
enum SYM_Symtype SYM_SYMTYPE
Definition: type_symmetry.h:64
#define DEFAULT_USEBDWIDENING
SCIP_RETCODE SCIPsetConshdlrPrint(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSPRINT((*consprint)))
Definition: scip_cons.c:785
#define CONSHDLR_PROPFREQ
Definition: cons_varbound.c:94
Constraint handler for linear constraints in their most general form, .
SCIP_RETCODE SCIPchgRhsLinear(SCIP *scip, SCIP_CONS *cons, SCIP_Real rhs)
SCIP_Bool SCIPisInfinity(SCIP *scip, SCIP_Real val)
#define MAXSCALEDCOEF
SCIP_RETCODE SCIPinferVarLbCons(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound, SCIP_CONS *infercons, int inferinfo, SCIP_Bool force, SCIP_Bool *infeasible, SCIP_Bool *tightened)
Definition: scip_var.c:5503
#define SCIPquadprecSumQQ(r, a, b)
Definition: dbldblarith.h:67
#define LINCONSUPGD_PRIORITY
int SCIPgetNBinVars(SCIP *scip)
Definition: scip_prob.c:2037
int SCIPconshdlrGetNActiveConss(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4672
SCIP_RETCODE SCIPsetConshdlrGetSignedPermsymGraph(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSGETSIGNEDPERMSYMGRAPH((*consgetsignedpermsymgraph)))
Definition: scip_cons.c:924
SCIP_Bool SCIPinProbing(SCIP *scip)
Definition: scip_probing.c:97
static SCIP_RETCODE applyFixings(SCIP *scip, SCIP_CONS *cons, SCIP_EVENTHDLR *eventhdlr, SCIP_Bool *cutoff, int *nchgbds, int *ndelconss, int *naddconss)
public methods for the LP relaxation, rows and columns
SCIP_RETCODE SCIPincludeLinconsUpgrade(SCIP *scip, SCIP_DECL_LINCONSUPGD((*linconsupgd)), int priority, const char *conshdlrname)
int SCIPgetNVars(SCIP *scip)
Definition: scip_prob.c:1992
SCIP_RETCODE SCIPdelNlRow(SCIP *scip, SCIP_NLROW *nlrow)
Definition: scip_nlp.c:424
public methods for nonlinear relaxation
methods for sorting joint arrays of various types
SCIP_RETCODE SCIPcreateConsLinear(SCIP *scip, SCIP_CONS **cons, const char *name, int nvars, SCIP_VAR **vars, SCIP_Real *vals, SCIP_Real lhs, SCIP_Real rhs, SCIP_Bool initial, SCIP_Bool separate, SCIP_Bool enforce, SCIP_Bool check, SCIP_Bool propagate, SCIP_Bool local, SCIP_Bool modifiable, SCIP_Bool dynamic, SCIP_Bool removable, SCIP_Bool stickingatnode)
static SCIP_DECL_CONSGETPERMSYMGRAPH(consGetPermsymGraphVarbound)
SCIP_RETCODE SCIPreleaseRow(SCIP *scip, SCIP_ROW **row)
Definition: scip_lp.c:1562
#define SCIP_VARTYPE_IMPLINT_CHAR
Definition: def.h:146
public methods for managing events
general public methods
#define MAX(x, y)
Definition: def.h:239
static SCIP_RETCODE tightenCoefs(SCIP *scip, SCIP_CONS *cons, int *nchgcoefs, int *nchgsides, int *ndelconss, SCIP_Bool *cutoff, int *nchgbds)
SCIP_Bool SCIPisGT(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
SCIP_Bool SCIPisIntegral(SCIP *scip, SCIP_Real val)
public methods for solutions
SCIP_CONSDATA * SCIPconsGetData(SCIP_CONS *cons)
Definition: cons.c:8246
SCIP_RETCODE SCIPinferVarUbCons(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound, SCIP_CONS *infercons, int inferinfo, SCIP_Bool force, SCIP_Bool *infeasible, SCIP_Bool *tightened)
Definition: scip_var.c:5617
static SCIP_DECL_CONSCOPY(consCopyVarbound)
SCIP_CONS ** SCIPconshdlrGetCheckConss(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4615
SCIP_Real SCIPgetHugeValue(SCIP *scip)
#define SCIP_VARTYPE_CONTINUOUS_CHAR
Definition: def.h:147
public methods for the probing mode
static SCIP_DECL_CONSSEPASOL(consSepasolVarbound)
static SCIP_DECL_CONSENFOPS(consEnfopsVarbound)
SCIP_RETCODE SCIPreleaseCons(SCIP *scip, SCIP_CONS **cons)
Definition: scip_cons.c:1174
SCIP_RETCODE SCIPsetConshdlrPresol(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSPRESOL((*conspresol)), int maxprerounds, SCIP_PRESOLTIMING presoltiming)
Definition: scip_cons.c:540
public methods for message output
SCIP_Bool SCIPisFeasPositive(SCIP *scip, SCIP_Real val)
static SCIP_DECL_CONSENFORELAX(consEnforelaxVarbound)
SCIP_VARSTATUS SCIPvarGetStatus(SCIP_VAR *var)
Definition: var.c:17539
SCIP_RETCODE SCIPgetSymActiveVariables(SCIP *scip, SYM_SYMTYPE symtype, SCIP_VAR ***vars, SCIP_Real **scalars, int *nvars, SCIP_Real *constant, SCIP_Bool transformed)
SCIP_RETCODE SCIPaggregateVars(SCIP *scip, SCIP_VAR *varx, SCIP_VAR *vary, SCIP_Real scalarx, SCIP_Real scalary, SCIP_Real rhs, SCIP_Bool *infeasible, SCIP_Bool *redundant, SCIP_Bool *aggregated)
Definition: scip_var.c:8403
SCIP_RETCODE SCIPcaptureVar(SCIP *scip, SCIP_VAR *var)
Definition: scip_var.c:1216
#define SCIP_Real
Definition: def.h:173
SCIP_Bool SCIPconsIsModifiable(SCIP_CONS *cons)
Definition: cons.c:8465
SCIP_Bool SCIPisStopped(SCIP *scip)
Definition: scip_general.c:718
SCIP_RETCODE SCIPsetConshdlrGetNVars(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSGETNVARS((*consgetnvars)))
Definition: scip_cons.c:854
#define CONSHDLR_NEEDSCONS
int SCIPconshdlrGetNCheckConss(SCIP_CONSHDLR *conshdlr)
Definition: cons.c:4658
public methods for message handling
SCIP_Bool SCIPconsIsEnforced(SCIP_CONS *cons)
Definition: cons.c:8405
static SCIP_Bool checkCons(SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol, SCIP_Bool checklprows)
#define SCIP_INVALID
Definition: def.h:193
SCIP_Bool SCIPconsIsSeparated(SCIP_CONS *cons)
Definition: cons.c:8395
Proprule
Definition: cons_and.c:172
SCIP_RETCODE SCIPprintRow(SCIP *scip, SCIP_ROW *row, FILE *file)
Definition: scip_lp.c:2212
#define SCIPquadprecSumDD(r, a, b)
Definition: dbldblarith.h:60
static SCIP_DECL_CONSDELETE(consDeleteVarbound)
#define CONSHDLR_ENFOPRIORITY
Definition: cons_varbound.c:91
#define SCIP_Longint
Definition: def.h:158
int SCIPvarGetIndex(SCIP_VAR *var)
Definition: var.c:17759
SCIP_Real SCIPgetRowSolFeasibility(SCIP *scip, SCIP_ROW *row, SCIP_SOL *sol)
Definition: scip_lp.c:2167
SCIP_VARTYPE SCIPvarGetType(SCIP_VAR *var)
Definition: var.c:17585
#define SCIP_VARTYPE_BINARY_CHAR
Definition: def.h:144
static SCIP_RETCODE consdataFree(SCIP *scip, SCIP_CONSDATA **consdata)
SCIP_Bool SCIPisZero(SCIP *scip, SCIP_Real val)
SCIP_Bool SCIPisLE(SCIP *scip, SCIP_Real val1, SCIP_Real val2)
struct SCIP_ConshdlrData SCIP_CONSHDLRDATA
Definition: type_cons.h:64
SCIP_RETCODE SCIPchgLhsLinear(SCIP *scip, SCIP_CONS *cons, SCIP_Real lhs)
SCIP_Real SCIPvarGetUbLocal(SCIP_VAR *var)
Definition: var.c:18145
SCIP_Bool SCIPisFeasIntegral(SCIP *scip, SCIP_Real val)
SCIP_Bool SCIPconsIsMarkedPropagate(SCIP_CONS *cons)
Definition: cons.c:8425
SCIP_RETCODE SCIPtightenVarUbGlobal(SCIP *scip, SCIP_VAR *var, SCIP_Real newbound, SCIP_Bool force, SCIP_Bool *infeasible, SCIP_Bool *tightened)
Definition: scip_var.c:6350
static SCIP_RETCODE upgradeConss(SCIP *scip, SCIP_CONSHDLRDATA *conshdlrdata, SCIP_CONS **conss, int nconss, SCIP_Bool *cutoff, int *naggrvars, int *nchgbds, int *nchgcoefs, int *nchgsides, int *ndelconss, int *naddconss)
static SCIP_RETCODE createRelaxation(SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE SCIPsetConshdlrActive(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSACTIVE((*consactive)))
Definition: scip_cons.c:670
static SCIP_DECL_CONSLOCK(consLockVarbound)
static SCIP_DECL_CONSPRESOL(consPresolVarbound)
static SCIP_RETCODE dropEvents(SCIP *scip, SCIP_CONS *cons, SCIP_EVENTHDLR *eventhdlr)
static SCIP_DECL_CONSPRINT(consPrintVarbound)
SCIP_RETCODE SCIPsetConshdlrExitsol(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSEXITSOL((*consexitsol)))
Definition: scip_cons.c:468
#define SCIPABORT()
Definition: def.h:352
public methods for global and local (sub)problems
SCIP_Real SCIPround(SCIP *scip, SCIP_Real val)
static SCIP_DECL_CONSACTIVE(consActiveVarbound)
SCIP_Bool SCIPvarIsIntegral(SCIP_VAR *var)
Definition: var.c:17611
static SCIP_DECL_CONSDEACTIVE(consDeactiveVarbound)
static SCIP_RETCODE catchEvents(SCIP *scip, SCIP_CONS *cons, SCIP_EVENTHDLR *eventhdlr)
#define CONSHDLR_EAGERFREQ
Definition: cons_varbound.c:95
SCIP_Real SCIPgetSolVal(SCIP *scip, SCIP_SOL *sol, SCIP_VAR *var)
Definition: scip_sol.c:1217
SCIP_RETCODE SCIPaddRealParam(SCIP *scip, const char *name, const char *desc, SCIP_Real *valueptr, SCIP_Bool isadvanced, SCIP_Real defaultvalue, SCIP_Real minvalue, SCIP_Real maxvalue, SCIP_DECL_PARAMCHGD((*paramchgd)), SCIP_PARAMDATA *paramdata)
Definition: scip_param.c:139
#define ABS(x)
Definition: def.h:235
SCIP_RETCODE SCIPgetNegatedVar(SCIP *scip, SCIP_VAR *var, SCIP_VAR **negvar)
Definition: scip_var.c:1529
SCIP_RETCODE SCIPaddBoolParam(SCIP *scip, const char *name, const char *desc, SCIP_Bool *valueptr, SCIP_Bool isadvanced, SCIP_Bool defaultvalue, SCIP_DECL_PARAMCHGD((*paramchgd)), SCIP_PARAMDATA *paramdata)
Definition: scip_param.c:57
static SCIP_DECL_CONSGETNVARS(consGetNVarsVarbound)
SCIP_RETCODE SCIPsetConshdlrProp(SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_DECL_CONSPROP((*consprop)), int propfreq, SCIP_Bool delayprop, SCIP_PROPTIMING proptiming)
Definition: scip_cons.c:281
static SCIP_DECL_CONSINITSOL(consInitsolVarbound)
memory allocation routines
SCIP_RETCODE SCIPincludeConshdlrVarbound(SCIP *scip)