Scippy

SCIP

Solving Constraint Integer Programs

Detailed Description

methods and datastructures for conflict analysis

Author
Tobias Achterberg
Timo Berthold
Stefan Heinz
Marc Pfetsch
Michael Winkler
Jakob Witzig

SCIP contains two kinds of conflict analysis:

  • In graph based conflict analysis, the graph consisting of derived is analysed. Code and documentation is available in conflict_graphanalysis.h
  • In dual proof analysis, an infeasible LP relaxation is analysed. Using the dual solution, a valid constraint is derived that is violated by all values in the domain. This constraint is added to the problem and can then be used for domain propagation. Code is available in conflict_dualproofanalysis.h This file contains the methods that are shared by both kinds of conflict analysis.

Definition in file conflict_general.c.

#include "lpi/lpi.h"
#include "scip/clock.h"
#include "scip/conflict.h"
#include "scip/conflictstore.h"
#include "scip/cons.h"
#include "scip/cons_linear.h"
#include "scip/cuts.h"
#include "scip/history.h"
#include "scip/lp.h"
#include "scip/presolve.h"
#include "scip/prob.h"
#include "scip/prop.h"
#include "scip/pub_conflict.h"
#include "scip/pub_cons.h"
#include "scip/pub_lp.h"
#include "scip/pub_message.h"
#include "scip/pub_misc.h"
#include "scip/pub_misc_sort.h"
#include "scip/pub_paramset.h"
#include "scip/pub_prop.h"
#include "scip/pub_tree.h"
#include "scip/pub_var.h"
#include "scip/scip_conflict.h"
#include "scip/scip_cons.h"
#include "scip/scip_mem.h"
#include "scip/scip_sol.h"
#include "scip/scip_var.h"
#include "scip/set.h"
#include "scip/sol.h"
#include "scip/struct_conflict.h"
#include "scip/struct_lp.h"
#include "scip/struct_prob.h"
#include "scip/struct_set.h"
#include "scip/struct_stat.h"
#include "scip/struct_tree.h"
#include "scip/struct_var.h"
#include "scip/tree.h"
#include "scip/var.h"
#include "scip/visual.h"
#include <string.h>
#include <strings.h>

Go to the source code of this file.

Macros

#define NUMSTOP   9007199254740992.0
 
#define SOLSTOP   10000000.0
 

Functions

int SCIPconflictGetNConflicts (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNAppliedConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNAppliedLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNGlobalChgBds (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNAppliedGlobalConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNAppliedGlobalLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNLocalChgBds (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNAppliedLocalConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNAppliedLocalLiterals (SCIP_CONFLICT *conflict)
 
static SCIP_DECL_SORTPTRCOMP (conflictBdchginfoComp)
 
void SCIPconflictEnableOrDisableClocks (SCIP_CONFLICT *conflict, SCIP_Bool enable)
 
SCIP_RETCODE SCIPconflictCreate (SCIP_CONFLICT **conflict, BMS_BLKMEM *blkmem, SCIP_SET *set)
 
SCIP_RETCODE SCIPconflictFree (SCIP_CONFLICT **conflict, BMS_BLKMEM *blkmem)
 
SCIP_Real SCIPconflictGetVarLb (SCIP_CONFLICT *conflict, SCIP_VAR *var)
 
SCIP_Real SCIPconflictGetVarUb (SCIP_CONFLICT *conflict, SCIP_VAR *var)
 
SCIP_Real SCIPconflictGetGlobalApplTime (SCIP_CONFLICT *conflict)
 
SCIP_Real SCIPconflictGetPropTime (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPropCalls (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPropSuccess (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPropConflictConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPropConflictLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPropReconvergenceConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPropReconvergenceLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Real SCIPconflictGetInfeasibleLPTime (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNInfeasibleLPCalls (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNInfeasibleLPSuccess (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNInfeasibleLPConflictConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNInfeasibleLPConflictLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNInfeasibleLPReconvergenceConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNInfeasibleLPReconvergenceLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNInfeasibleLPIterations (SCIP_CONFLICT *conflict)
 
SCIP_Real SCIPconflictGetBoundexceedingLPTime (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNBoundexceedingLPCalls (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNBoundexceedingLPSuccess (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNBoundexceedingLPConflictConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNBoundexceedingLPConflictLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNBoundexceedingLPReconvergenceConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNBoundexceedingLPReconvergenceLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNBoundexceedingLPIterations (SCIP_CONFLICT *conflict)
 
SCIP_Real SCIPconflictGetStrongbranchTime (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsInfSuccess (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsInfGlobal (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsInfLocal (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsInfNonzeros (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsBndSuccess (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsBndGlobal (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsBndLocal (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNDualproofsBndNonzeros (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNStrongbranchCalls (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNStrongbranchSuccess (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNStrongbranchConflictConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNStrongbranchConflictLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNStrongbranchReconvergenceConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNStrongbranchReconvergenceLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNStrongbranchIterations (SCIP_CONFLICT *conflict)
 
static SCIP_RETCODE addRowToAggrRow (SCIP_SET *set, SCIP_ROW *row, SCIP_Real weight, SCIP_AGGRROW *aggrrow)
 
static SCIP_Bool checkDualFeasibility (SCIP_SET *set, SCIP_ROW *row, SCIP_Real weight, SCIP_Bool *zerocontribution)
 
SCIP_Real SCIPaggrRowGetMinActivity (SCIP_SET *set, SCIP_PROB *transprob, SCIP_AGGRROW *aggrrow, SCIP_Real *curvarlbs, SCIP_Real *curvarubs, SCIP_Bool *infdelta)
 
static SCIP_RETCODE sortLocalRows (SCIP_SET *set, SCIP_AGGRROW *aggrrow, SCIP_ROW **rows, int *rowinds, int *rowdepth, int nrows)
 
static SCIP_RETCODE addLocalRows (SCIP_SET *set, SCIP_PROB *transprob, SCIP_LP *lp, SCIP_AGGRROW *proofrow, SCIP_ROW **rows, SCIP_Real *dualsols, int *localrowinds, int *localrowdepth, int nlocalrows, SCIP_Real *proofact, int *validdepth, SCIP_Real *curvarlbs, SCIP_Real *curvarubs, SCIP_Bool *valid)
 
SCIP_RETCODE SCIPgetFarkasProof (SCIP_SET *set, SCIP_PROB *prob, SCIP_LP *lp, SCIP_LPI *lpi, SCIP_TREE *tree, SCIP_AGGRROW *farkasrow, SCIP_Real *farkasact, int *validdepth, SCIP_Real *curvarlbs, SCIP_Real *curvarubs, SCIP_Bool *valid)
 
SCIP_RETCODE SCIPgetDualProof (SCIP_SET *set, SCIP_PROB *transprob, SCIP_LP *lp, SCIP_LPI *lpi, SCIP_TREE *tree, SCIP_AGGRROW *farkasrow, SCIP_Real *farkasact, int *validdepth, SCIP_Real *curvarlbs, SCIP_Real *curvarubs, SCIP_Bool *valid)
 
SCIP_RETCODE SCIPconflictAnalyzePseudo (SCIP_CONFLICT *conflict, BMS_BLKMEM *blkmem, SCIP_SET *set, SCIP_STAT *stat, SCIP_PROB *transprob, SCIP_PROB *origprob, SCIP_TREE *tree, SCIP_REOPT *reopt, SCIP_LP *lp, SCIP_BRANCHCAND *branchcand, SCIP_EVENTQUEUE *eventqueue, SCIP_CLIQUETABLE *cliquetable, SCIP_Bool *success)
 
SCIP_Real SCIPconflictGetPseudoTime (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPseudoCalls (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPseudoSuccess (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPseudoConflictConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPseudoConflictLiterals (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPseudoReconvergenceConss (SCIP_CONFLICT *conflict)
 
SCIP_Longint SCIPconflictGetNPseudoReconvergenceLiterals (SCIP_CONFLICT *conflict)
 
static SCIP_RETCODE conflictAnalyzeLP (SCIP_CONFLICT *conflict, SCIP_CONFLICTSTORE *conflictstore, BMS_BLKMEM *blkmem, SCIP_SET *set, SCIP_STAT *stat, SCIP_PROB *transprob, SCIP_PROB *origprob, SCIP_TREE *tree, SCIP_REOPT *reopt, SCIP_LP *lp, SCIP_BRANCHCAND *branchcand, SCIP_EVENTQUEUE *eventqueue, SCIP_CLIQUETABLE *cliquetable, SCIP_Bool diving, SCIP_Bool *dualproofsuccess, int *iterations, int *nconss, int *nliterals, int *nreconvconss, int *nreconvliterals, SCIP_Bool marklpunsolved)
 
SCIP_RETCODE SCIPconflictAnalyzeStrongbranch (SCIP_CONFLICT *conflict, SCIP_CONFLICTSTORE *conflictstore, BMS_BLKMEM *blkmem, SCIP_SET *set, SCIP_STAT *stat, SCIP_PROB *transprob, SCIP_PROB *origprob, SCIP_TREE *tree, SCIP_REOPT *reopt, SCIP_LP *lp, SCIP_BRANCHCAND *branchcand, SCIP_EVENTQUEUE *eventqueue, SCIP_CLIQUETABLE *cliquetable, SCIP_COL *col, SCIP_Bool *downconflict, SCIP_Bool *upconflict)
 
static SCIP_RETCODE conflictAnalyzeInfeasibleLP (SCIP_CONFLICT *conflict, SCIP_CONFLICTSTORE *conflictstore, BMS_BLKMEM *blkmem, SCIP_SET *set, SCIP_STAT *stat, SCIP_PROB *transprob, SCIP_PROB *origprob, SCIP_TREE *tree, SCIP_REOPT *reopt, SCIP_LP *lp, SCIP_BRANCHCAND *branchcand, SCIP_EVENTQUEUE *eventqueue, SCIP_CLIQUETABLE *cliquetable, SCIP_Bool *success)
 
static SCIP_RETCODE conflictAnalyzeBoundexceedingLP (SCIP_CONFLICT *conflict, SCIP_CONFLICTSTORE *conflictstore, BMS_BLKMEM *blkmem, SCIP_SET *set, SCIP_STAT *stat, SCIP_PROB *transprob, SCIP_PROB *origprob, SCIP_TREE *tree, SCIP_REOPT *reopt, SCIP_LP *lp, SCIP_BRANCHCAND *branchcand, SCIP_EVENTQUEUE *eventqueue, SCIP_CLIQUETABLE *cliquetable, SCIP_Bool *success)
 
SCIP_RETCODE SCIPconflictAnalyzeLP (SCIP_CONFLICT *conflict, SCIP_CONFLICTSTORE *conflictstore, BMS_BLKMEM *blkmem, SCIP_SET *set, SCIP_STAT *stat, SCIP_PROB *transprob, SCIP_PROB *origprob, SCIP_TREE *tree, SCIP_REOPT *reopt, SCIP_LP *lp, SCIP_BRANCHCAND *branchcand, SCIP_EVENTQUEUE *eventqueue, SCIP_CLIQUETABLE *cliquetable, SCIP_Bool *success)
 

Macro Definition Documentation

◆ NUMSTOP

#define NUMSTOP   9007199254740992.0

Definition at line 96 of file conflict_general.c.

◆ SOLSTOP

#define SOLSTOP   10000000.0

Definition at line 100 of file conflict_general.c.

Function Documentation

◆ SCIPconflictGetNConflicts()

int SCIPconflictGetNConflicts ( SCIP_CONFLICT conflict)

returns the current number of conflict sets in the conflict set storage

Parameters
conflictconflict analysis data

Definition at line 103 of file conflict_general.c.

References SCIP_Conflict::nconflictsets, and NULL.

Referenced by propAndSolve(), SCIPgetNConflictConssFoundNode(), SCIPgetVarStrongbranchWithPropagation(), and solveNode().

◆ SCIPconflictGetNAppliedConss()

SCIP_Longint SCIPconflictGetNAppliedConss ( SCIP_CONFLICT conflict)

returns the total number of conflict constraints that were added to the problem

Parameters
conflictconflict analysis data

Definition at line 113 of file conflict_general.c.

References SCIP_Conflict::nappliedglbconss, SCIP_Conflict::nappliedlocconss, and NULL.

Referenced by SCIPgetNConflictConssApplied().

◆ SCIPconflictGetNAppliedLiterals()

SCIP_Longint SCIPconflictGetNAppliedLiterals ( SCIP_CONFLICT conflict)

returns the total number of literals in conflict constraints that were added to the problem

Parameters
conflictconflict analysis data

Definition at line 123 of file conflict_general.c.

References SCIP_Conflict::nappliedglbliterals, SCIP_Conflict::nappliedlocliterals, and NULL.

◆ SCIPconflictGetNGlobalChgBds()

SCIP_Longint SCIPconflictGetNGlobalChgBds ( SCIP_CONFLICT conflict)

returns the total number of global bound changes applied by the conflict analysis

Parameters
conflictconflict analysis data

Definition at line 133 of file conflict_general.c.

References SCIP_Conflict::nglbchgbds, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNAppliedGlobalConss()

SCIP_Longint SCIPconflictGetNAppliedGlobalConss ( SCIP_CONFLICT conflict)

returns the total number of conflict constraints that were added globally to the problem

Parameters
conflictconflict analysis data

Definition at line 143 of file conflict_general.c.

References SCIP_Conflict::nappliedglbconss, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNAppliedGlobalLiterals()

SCIP_Longint SCIPconflictGetNAppliedGlobalLiterals ( SCIP_CONFLICT conflict)

returns the total number of literals in conflict constraints that were added globally to the problem

Parameters
conflictconflict analysis data

Definition at line 153 of file conflict_general.c.

References SCIP_Conflict::nappliedglbliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNLocalChgBds()

SCIP_Longint SCIPconflictGetNLocalChgBds ( SCIP_CONFLICT conflict)

returns the total number of local bound changes applied by the conflict analysis

Parameters
conflictconflict analysis data

Definition at line 163 of file conflict_general.c.

References SCIP_Conflict::nlocchgbds, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNAppliedLocalConss()

SCIP_Longint SCIPconflictGetNAppliedLocalConss ( SCIP_CONFLICT conflict)

returns the total number of conflict constraints that were added locally to the problem

Parameters
conflictconflict analysis data

Definition at line 173 of file conflict_general.c.

References SCIP_Conflict::nappliedlocconss, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNAppliedLocalLiterals()

SCIP_Longint SCIPconflictGetNAppliedLocalLiterals ( SCIP_CONFLICT conflict)

returns the total number of literals in conflict constraints that were added locally to the problem

Parameters
conflictconflict analysis data

Definition at line 183 of file conflict_general.c.

References SCIP_Conflict::nappliedlocliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIP_DECL_SORTPTRCOMP()

static SCIP_DECL_SORTPTRCOMP ( conflictBdchginfoComp  )
static

compares two conflict set entries, such that bound changes inferred later are ordered prior to ones that were inferred earlier

Definition at line 196 of file conflict_general.c.

References NULL, SCIPbdchgidxIsEarlierNonNull(), SCIPbdchginfoGetIdx(), and SCIPbdchginfoIsRedundant().

◆ SCIPconflictEnableOrDisableClocks()

void SCIPconflictEnableOrDisableClocks ( SCIP_CONFLICT conflict,
SCIP_Bool  enable 
)

enables or disables all clocks of conflict, depending on the value of the flag

Parameters
conflictthe conflict analysis data for which all clocks should be enabled or disabled
enableshould the clocks of the conflict analysis data be enabled?

Definition at line 218 of file conflict_general.c.

References SCIP_Conflict::boundlpanalyzetime, SCIP_Conflict::dIBclock, SCIP_Conflict::inflpanalyzetime, NULL, SCIP_Conflict::propanalyzetime, SCIP_Conflict::pseudoanalyzetime, SCIP_Conflict::sbanalyzetime, and SCIPclockEnableOrDisable().

Referenced by SCIPconflictCreate(), and SCIPenableOrDisableStatisticTiming().

◆ SCIPconflictCreate()

SCIP_RETCODE SCIPconflictCreate ( SCIP_CONFLICT **  conflict,
BMS_BLKMEM blkmem,
SCIP_SET set 
)

creates conflict analysis data for propagation conflicts

Parameters
conflictpointer to conflict analysis data
blkmemblock memory of transformed problem
setglobal SCIP settings

Definition at line 234 of file conflict_general.c.

References BMSallocMemory, NULL, SCIP_ALLOC, SCIP_CALL, SCIP_CLOCKTYPE_DEFAULT, SCIP_OKAY, SCIPclockCreate(), SCIPconflictEnableOrDisableClocks(), SCIPconflictInitProofset(), SCIPconflictsetCreate(), and SCIPpqueueCreate().

Referenced by SCIPtransformProb().

◆ SCIPconflictFree()

SCIP_RETCODE SCIPconflictFree ( SCIP_CONFLICT **  conflict,
BMS_BLKMEM blkmem 
)

frees conflict analysis data for propagation conflicts

Parameters
conflictpointer to conflict analysis data
blkmemblock memory of transformed problem

Definition at line 324 of file conflict_general.c.

References BMSfreeMemory, BMSfreeMemoryArrayNull, NULL, SCIP_OKAY, SCIPclockFree(), SCIPconflictsetFree(), SCIPpqueueFree(), and SCIPproofsetFree().

Referenced by freeTransform(), and freeTransforming().

◆ SCIPconflictGetVarLb()

SCIP_Real SCIPconflictGetVarLb ( SCIP_CONFLICT conflict,
SCIP_VAR var 
)

returns the conflict lower bound if the variable is present in the current conflict set; otherwise the global lower bound

Parameters
conflictconflict analysis data
varproblem variable

Definition at line 361 of file conflict_general.c.

References SCIP_Var::conflictlb, SCIP_Var::conflictlbcount, SCIP_Var::conflictrelaxedlb, SCIP_Conflict::count, EPSGE, and SCIPvarGetLbGlobal().

Referenced by SCIPgetConflictVarLb().

◆ SCIPconflictGetVarUb()

SCIP_Real SCIPconflictGetVarUb ( SCIP_CONFLICT conflict,
SCIP_VAR var 
)

returns the conflict upper bound if the variable is present in the current conflict set; otherwise the global upper bound

Parameters
conflictconflict analysis data
varproblem variable

Definition at line 378 of file conflict_general.c.

References SCIP_Var::conflictrelaxedub, SCIP_Var::conflictub, SCIP_Var::conflictubcount, SCIP_Conflict::count, EPSLE, and SCIPvarGetUbGlobal().

Referenced by SCIPgetConflictVarUb().

◆ SCIPconflictGetGlobalApplTime()

SCIP_Real SCIPconflictGetGlobalApplTime ( SCIP_CONFLICT conflict)

gets time in seconds used for preprocessing global conflict constraint before appliance

Parameters
conflictconflict analysis data

Definition at line 393 of file conflict_general.c.

References SCIP_Conflict::dIBclock, NULL, and SCIPclockGetTime().

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetPropTime()

SCIP_Real SCIPconflictGetPropTime ( SCIP_CONFLICT conflict)

gets time in seconds used for analyzing propagation conflicts

Parameters
conflictconflict analysis data

Definition at line 403 of file conflict_general.c.

References NULL, SCIP_Conflict::propanalyzetime, and SCIPclockGetTime().

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNPropCalls()

SCIP_Longint SCIPconflictGetNPropCalls ( SCIP_CONFLICT conflict)

gets number of calls to propagation conflict analysis

Parameters
conflictconflict analysis data

Definition at line 413 of file conflict_general.c.

References SCIP_Conflict::npropcalls, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNPropSuccess()

SCIP_Longint SCIPconflictGetNPropSuccess ( SCIP_CONFLICT conflict)

gets number of calls to propagation conflict analysis that yield at least one conflict constraint

Parameters
conflictconflict analysis data

Definition at line 423 of file conflict_general.c.

References SCIP_Conflict::npropsuccess, and NULL.

Referenced by SCIPprintConflictStatistics(), and SCIPsolveCIP().

◆ SCIPconflictGetNPropConflictConss()

SCIP_Longint SCIPconflictGetNPropConflictConss ( SCIP_CONFLICT conflict)

gets number of conflict constraints detected in propagation conflict analysis

Parameters
conflictconflict analysis data

Definition at line 433 of file conflict_general.c.

References SCIP_Conflict::npropconfconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNPropConflictLiterals()

SCIP_Longint SCIPconflictGetNPropConflictLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in conflict constraints created in propagation conflict analysis

Parameters
conflictconflict analysis data

Definition at line 443 of file conflict_general.c.

References SCIP_Conflict::npropconfliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNPropReconvergenceConss()

SCIP_Longint SCIPconflictGetNPropReconvergenceConss ( SCIP_CONFLICT conflict)

gets number of reconvergence constraints detected in propagation conflict analysis

Parameters
conflictconflict analysis data

Definition at line 453 of file conflict_general.c.

References SCIP_Conflict::npropreconvconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNPropReconvergenceLiterals()

SCIP_Longint SCIPconflictGetNPropReconvergenceLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in reconvergence constraints created in propagation conflict analysis

Parameters
conflictconflict analysis data

Definition at line 463 of file conflict_general.c.

References SCIP_Conflict::npropreconvliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetInfeasibleLPTime()

SCIP_Real SCIPconflictGetInfeasibleLPTime ( SCIP_CONFLICT conflict)

gets time in seconds used for analyzing infeasible LP conflicts

Parameters
conflictconflict analysis data

Definition at line 473 of file conflict_general.c.

References SCIP_Conflict::inflpanalyzetime, NULL, and SCIPclockGetTime().

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNInfeasibleLPCalls()

SCIP_Longint SCIPconflictGetNInfeasibleLPCalls ( SCIP_CONFLICT conflict)

gets number of calls to infeasible LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 483 of file conflict_general.c.

References SCIP_Conflict::ninflpcalls, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNInfeasibleLPSuccess()

SCIP_Longint SCIPconflictGetNInfeasibleLPSuccess ( SCIP_CONFLICT conflict)

gets number of calls to infeasible LP conflict analysis that yield at least one conflict constraint

Parameters
conflictconflict analysis data

Definition at line 493 of file conflict_general.c.

References SCIP_Conflict::ninflpsuccess, and NULL.

Referenced by SCIPprintConflictStatistics(), and SCIPsolveCIP().

◆ SCIPconflictGetNInfeasibleLPConflictConss()

SCIP_Longint SCIPconflictGetNInfeasibleLPConflictConss ( SCIP_CONFLICT conflict)

gets number of conflict constraints detected in infeasible LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 503 of file conflict_general.c.

References SCIP_Conflict::ninflpconfconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNInfeasibleLPConflictLiterals()

SCIP_Longint SCIPconflictGetNInfeasibleLPConflictLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in conflict constraints created in infeasible LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 513 of file conflict_general.c.

References SCIP_Conflict::ninflpconfliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNInfeasibleLPReconvergenceConss()

SCIP_Longint SCIPconflictGetNInfeasibleLPReconvergenceConss ( SCIP_CONFLICT conflict)

gets number of reconvergence constraints detected in infeasible LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 523 of file conflict_general.c.

References SCIP_Conflict::ninflpreconvconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNInfeasibleLPReconvergenceLiterals()

SCIP_Longint SCIPconflictGetNInfeasibleLPReconvergenceLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in reconvergence constraints created in infeasible LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 533 of file conflict_general.c.

References SCIP_Conflict::ninflpreconvliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNInfeasibleLPIterations()

SCIP_Longint SCIPconflictGetNInfeasibleLPIterations ( SCIP_CONFLICT conflict)

gets number of LP iterations in infeasible LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 543 of file conflict_general.c.

References SCIP_Conflict::ninflpiterations, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetBoundexceedingLPTime()

SCIP_Real SCIPconflictGetBoundexceedingLPTime ( SCIP_CONFLICT conflict)

gets time in seconds used for analyzing bound exceeding LP conflicts

Parameters
conflictconflict analysis data

Definition at line 553 of file conflict_general.c.

References SCIP_Conflict::boundlpanalyzetime, NULL, and SCIPclockGetTime().

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNBoundexceedingLPCalls()

SCIP_Longint SCIPconflictGetNBoundexceedingLPCalls ( SCIP_CONFLICT conflict)

gets number of calls to bound exceeding LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 563 of file conflict_general.c.

References SCIP_Conflict::nboundlpcalls, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNBoundexceedingLPSuccess()

SCIP_Longint SCIPconflictGetNBoundexceedingLPSuccess ( SCIP_CONFLICT conflict)

gets number of calls to bound exceeding LP conflict analysis that yield at least one conflict constraint

Parameters
conflictconflict analysis data

Definition at line 573 of file conflict_general.c.

References SCIP_Conflict::nboundlpsuccess, and NULL.

Referenced by SCIPprintConflictStatistics(), and SCIPsolveCIP().

◆ SCIPconflictGetNBoundexceedingLPConflictConss()

SCIP_Longint SCIPconflictGetNBoundexceedingLPConflictConss ( SCIP_CONFLICT conflict)

gets number of conflict constraints detected in bound exceeding LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 583 of file conflict_general.c.

References SCIP_Conflict::nboundlpconfconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNBoundexceedingLPConflictLiterals()

SCIP_Longint SCIPconflictGetNBoundexceedingLPConflictLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in conflict constraints created in bound exceeding LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 593 of file conflict_general.c.

References SCIP_Conflict::nboundlpconfliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNBoundexceedingLPReconvergenceConss()

SCIP_Longint SCIPconflictGetNBoundexceedingLPReconvergenceConss ( SCIP_CONFLICT conflict)

gets number of reconvergence constraints detected in bound exceeding LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 603 of file conflict_general.c.

References SCIP_Conflict::nboundlpreconvconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNBoundexceedingLPReconvergenceLiterals()

SCIP_Longint SCIPconflictGetNBoundexceedingLPReconvergenceLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in reconvergence constraints created in bound exceeding LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 613 of file conflict_general.c.

References SCIP_Conflict::nboundlpreconvliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNBoundexceedingLPIterations()

SCIP_Longint SCIPconflictGetNBoundexceedingLPIterations ( SCIP_CONFLICT conflict)

gets number of LP iterations in bound exceeding LP conflict analysis

Parameters
conflictconflict analysis data

Definition at line 623 of file conflict_general.c.

References SCIP_Conflict::nboundlpiterations, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetStrongbranchTime()

SCIP_Real SCIPconflictGetStrongbranchTime ( SCIP_CONFLICT conflict)

gets time in seconds used for analyzing infeasible strong branching conflicts

Parameters
conflictconflict analysis data

Definition at line 633 of file conflict_general.c.

References NULL, SCIP_Conflict::sbanalyzetime, and SCIPclockGetTime().

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsInfSuccess()

SCIP_Longint SCIPconflictGetNDualproofsInfSuccess ( SCIP_CONFLICT conflict)

gets number of successful calls to dual proof analysis derived from infeasible LPs

Parameters
conflictconflict analysis data

Definition at line 643 of file conflict_general.c.

References SCIP_Conflict::ndualproofsinfsuccess, and NULL.

Referenced by SCIPgetNConflictDualproofsApplied(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsInfGlobal()

SCIP_Longint SCIPconflictGetNDualproofsInfGlobal ( SCIP_CONFLICT conflict)

gets number of globally valid dual proof constraints derived from infeasible LPs

Parameters
conflictconflict analysis data

Definition at line 653 of file conflict_general.c.

References SCIP_Conflict::ndualproofsinfglobal, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsInfLocal()

SCIP_Longint SCIPconflictGetNDualproofsInfLocal ( SCIP_CONFLICT conflict)

gets number of locally valid dual proof constraints derived from infeasible LPs

Parameters
conflictconflict analysis data

Definition at line 663 of file conflict_general.c.

References SCIP_Conflict::ndualproofsinflocal, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsInfNonzeros()

SCIP_Longint SCIPconflictGetNDualproofsInfNonzeros ( SCIP_CONFLICT conflict)

gets average length of dual proof constraints derived from infeasible LPs

Parameters
conflictconflict analysis data

Definition at line 673 of file conflict_general.c.

References SCIP_Conflict::dualproofsinfnnonzeros, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsBndSuccess()

SCIP_Longint SCIPconflictGetNDualproofsBndSuccess ( SCIP_CONFLICT conflict)

gets number of successfully analyzed dual proofs derived from bound exceeding LPs

Parameters
conflictconflict analysis data

Definition at line 683 of file conflict_general.c.

References SCIP_Conflict::ndualproofsbndsuccess, and NULL.

Referenced by SCIPgetNConflictDualproofsApplied(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsBndGlobal()

SCIP_Longint SCIPconflictGetNDualproofsBndGlobal ( SCIP_CONFLICT conflict)

gets number of globally applied dual proofs derived from bound exceeding LPs

Parameters
conflictconflict analysis data

Definition at line 693 of file conflict_general.c.

References SCIP_Conflict::ndualproofsbndglobal, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsBndLocal()

SCIP_Longint SCIPconflictGetNDualproofsBndLocal ( SCIP_CONFLICT conflict)

gets number of locally applied dual proofs derived from bound exceeding LPs

Parameters
conflictconflict analysis data

Definition at line 703 of file conflict_general.c.

References SCIP_Conflict::ndualproofsbndlocal, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNDualproofsBndNonzeros()

SCIP_Longint SCIPconflictGetNDualproofsBndNonzeros ( SCIP_CONFLICT conflict)

gets average length of dual proofs derived from bound exceeding LPs

Parameters
conflictconflict analysis data

Definition at line 713 of file conflict_general.c.

References SCIP_Conflict::dualproofsbndnnonzeros, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNStrongbranchCalls()

SCIP_Longint SCIPconflictGetNStrongbranchCalls ( SCIP_CONFLICT conflict)

gets number of calls to infeasible strong branching conflict analysis

Parameters
conflictconflict analysis data

Definition at line 723 of file conflict_general.c.

References SCIP_Conflict::nsbcalls, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNStrongbranchSuccess()

SCIP_Longint SCIPconflictGetNStrongbranchSuccess ( SCIP_CONFLICT conflict)

gets number of calls to infeasible strong branching conflict analysis that yield at least one conflict constraint

Parameters
conflictconflict analysis data

Definition at line 733 of file conflict_general.c.

References SCIP_Conflict::nsbsuccess, and NULL.

Referenced by SCIPprintConflictStatistics(), and SCIPsolveCIP().

◆ SCIPconflictGetNStrongbranchConflictConss()

SCIP_Longint SCIPconflictGetNStrongbranchConflictConss ( SCIP_CONFLICT conflict)

gets number of conflict constraints detected in infeasible strong branching conflict analysis

Parameters
conflictconflict analysis data

Definition at line 743 of file conflict_general.c.

References SCIP_Conflict::nsbconfconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNStrongbranchConflictLiterals()

SCIP_Longint SCIPconflictGetNStrongbranchConflictLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in conflict constraints created in infeasible strong branching conflict analysis

Parameters
conflictconflict analysis data

Definition at line 753 of file conflict_general.c.

References SCIP_Conflict::nsbconfliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNStrongbranchReconvergenceConss()

SCIP_Longint SCIPconflictGetNStrongbranchReconvergenceConss ( SCIP_CONFLICT conflict)

gets number of reconvergence constraints detected in infeasible strong branching conflict analysis

Parameters
conflictconflict analysis data

Definition at line 763 of file conflict_general.c.

References SCIP_Conflict::nsbreconvconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNStrongbranchReconvergenceLiterals()

SCIP_Longint SCIPconflictGetNStrongbranchReconvergenceLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in reconvergence constraints created in infeasible strong branching conflict analysis

Parameters
conflictconflict analysis data

Definition at line 773 of file conflict_general.c.

References SCIP_Conflict::nsbreconvliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNStrongbranchIterations()

SCIP_Longint SCIPconflictGetNStrongbranchIterations ( SCIP_CONFLICT conflict)

gets number of LP iterations in infeasible strong branching conflict analysis

Parameters
conflictconflict analysis data

Definition at line 783 of file conflict_general.c.

References SCIP_Conflict::nsbiterations, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ addRowToAggrRow()

static SCIP_RETCODE addRowToAggrRow ( SCIP_SET set,
SCIP_ROW row,
SCIP_Real  weight,
SCIP_AGGRROW aggrrow 
)
static

adds a weighted LP row to an aggregation row

Parameters
setglobal SCIP settings
rowLP row
weightweight for scaling
aggrrowaggregation row

Definition at line 794 of file conflict_general.c.

References SCIP_Row::constant, SCIP_Row::lhs, SCIP_Row::local, SCIP_Row::lpdepth, NULL, SCIP_Row::rhs, SCIP_CALL, SCIP_OKAY, SCIPaggrRowAddRow(), SCIPaggrRowGetRhs(), SCIProwGetName(), SCIPsetDebugMsg, and SCIPsetIsInfinity().

Referenced by addLocalRows(), SCIPgetDualProof(), and SCIPgetFarkasProof().

◆ checkDualFeasibility()

static SCIP_Bool checkDualFeasibility ( SCIP_SET set,
SCIP_ROW row,
SCIP_Real  weight,
SCIP_Bool zerocontribution 
)
static

checks validity of an LP row and a corresponding weight

Parameters
setglobal SCIP settings
rowLP row
weightweight for scaling
zerocontributionpointer to store whether every row entry is zero within tolerances

Definition at line 826 of file conflict_general.c.

References FALSE, SCIP_Row::len, SCIP_Row::lhs, QUAD_EPSILON, REALABS, SCIP_Row::rhs, SCIP_Bool, SCIProwGetName(), SCIPsetDebugMsg, SCIPsetIsDualfeasZero(), SCIPsetIsInfinity(), TRUE, and SCIP_Row::vals.

Referenced by addLocalRows(), SCIPgetDualProof(), and SCIPgetFarkasProof().

◆ SCIPaggrRowGetMinActivity()

SCIP_Real SCIPaggrRowGetMinActivity ( SCIP_SET set,
SCIP_PROB transprob,
SCIP_AGGRROW aggrrow,
SCIP_Real curvarlbs,
SCIP_Real curvarubs,
SCIP_Bool infdelta 
)

calculates the minimal activity of a given aggregation row

Parameters
setglobal SCIP settings
transprobtransformed problem data
aggrrowaggregation row
curvarlbscurrent lower bounds of active problem variables (or NULL for global bounds)
curvarubscurrent upper bounds of active problem variables (or NULL for global bounds)
infdeltapointer to store whether at least one variable contributes with an infinite value

Definition at line 873 of file conflict_general.c.

References FALSE, NULL, QUAD, QUAD_ASSIGN, QUAD_TO_DBL, SCIP_Real, SCIPaggrRowGetInds(), SCIPaggrRowGetNNz(), SCIPaggrRowGetProbvarValue(), SCIPprobGetVars(), SCIPquadprecProdDD, SCIPquadprecSumQQ, SCIPsetInfinity(), SCIPsetIsInfinity(), SCIPvarGetLbGlobal(), SCIPvarGetProbindex(), SCIPvarGetUbGlobal(), and TRUE.

Referenced by addLocalRows(), SCIPconflictAnalyzeDualProof(), SCIPgetDualProof(), SCIPgetFarkasProof(), separateAlternativeProofs(), and tightenDualproof().

◆ sortLocalRows()

static SCIP_RETCODE sortLocalRows ( SCIP_SET set,
SCIP_AGGRROW aggrrow,
SCIP_ROW **  rows,
int *  rowinds,
int *  rowdepth,
int  nrows 
)
static

sort local rows by increasing depth and number of nonzeros as tie-breaker

Parameters
setglobal SCIP settings
aggrrowaggregation row
rowsarray of local rows
rowindsarray of row indices
rowdeptharray of LP depths
nrowsnumber of local rows

Definition at line 953 of file conflict_general.c.

References SCIP_Row::len, NULL, SCIP_CALL, SCIP_OKAY, SCIPsetAllocBufferArray, SCIPsetFreeBufferArray, SCIPsortIntInt(), and SCIPsortIntIntInt().

Referenced by addLocalRows().

◆ addLocalRows()

static SCIP_RETCODE addLocalRows ( SCIP_SET set,
SCIP_PROB transprob,
SCIP_LP lp,
SCIP_AGGRROW proofrow,
SCIP_ROW **  rows,
SCIP_Real dualsols,
int *  localrowinds,
int *  localrowdepth,
int  nlocalrows,
SCIP_Real proofact,
int *  validdepth,
SCIP_Real curvarlbs,
SCIP_Real curvarubs,
SCIP_Bool valid 
)
static

adds locally valid rows to the proof constraint

Parameters
setglobal SCIP settings
transprobtransformed problem
lpLP data
proofrowaggregated row representing the proof
rowsarray if locally valid rows
dualsolsdual solution vector
localrowindsarray of row indecies
localrowdeptharray of row depths
nlocalrowsnumber of local rows stored in rows array
proofactpointer to store the activity of the proof constraint
validdepthpointer to store the depth where the proof constraint is valid
curvarlbscurrent lower bounds of active problem variables
curvarubscurrent upper bounds of active problem variables
validpointer store whether the proof constraint is valid

Definition at line 1021 of file conflict_general.c.

References addRowToAggrRow(), checkDualFeasibility(), SCIP_Row::cols, FALSE, SCIP_Row::len, SCIP_Row::local, SCIP_Row::lpdepth, SCIP_Lp::lpirows, NULL, r, REALABS, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIPaggrRowGetMinActivity(), SCIPaggrRowGetRhs(), SCIPaggrRowRemoveZeros(), SCIPsetDebugMsg, SCIPsetIsDualfeasZero(), SCIPsetIsGT(), SCIPsetIsInfinity(), SCIPsetIsLE(), sortLocalRows(), TRUE, and SCIP_Row::vals.

Referenced by SCIPgetDualProof(), and SCIPgetFarkasProof().

◆ SCIPgetFarkasProof()

SCIP_RETCODE SCIPgetFarkasProof ( SCIP_SET set,
SCIP_PROB prob,
SCIP_LP lp,
SCIP_LPI lpi,
SCIP_TREE tree,
SCIP_AGGRROW farkasrow,
SCIP_Real farkasact,
int *  validdepth,
SCIP_Real curvarlbs,
SCIP_Real curvarubs,
SCIP_Bool valid 
)

calculates a Farkas proof from the current dual LP solution

Parameters
setglobal SCIP settings
probtransformed problem
lpLP data
lpiLPI data
treetree data
farkasrowaggregated row representing the proof
farkasactmaximal activity of the proof constraint
validdepthpointer to store the valid depth of the proof constraint
curvarlbscurrent lower bounds of active problem variables
curvarubscurrent upper bounds of active problem variables
validpointer store whether the proof constraint is valid

Definition at line 1161 of file conflict_general.c.

References addLocalRows(), addRowToAggrRow(), BMSclearMemoryArray, checkDualFeasibility(), SCIP_Row::cols, FALSE, SCIP_Lp::flushed, SCIP_Row::len, SCIP_Row::local, SCIP_Lp::lpirows, SCIP_Lp::nlpirows, NULL, NUMSTOP, r, REALABS, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPaggrRowGetMinActivity(), SCIPaggrRowGetRhs(), SCIPaggrRowRemoveZeros(), SCIPfreeBufferArrayNull, SCIPlpDivingObjChanged(), SCIPlpGetNRows(), SCIPlpGetRows(), SCIPlpiGetDualfarkas(), SCIPlpiHasDualRay(), SCIPlpiIsDualFeasible(), SCIPlpiIsObjlimExc(), SCIPlpiIsPrimalInfeasible(), SCIProwGetLPDepth(), SCIPsetAllocBufferArray, SCIPsetDebugMsg, SCIPsetFreeBufferArray, SCIPsetIsDualfeasZero(), SCIPsetIsFeasLE(), SCIPtreeGetFocusDepth(), SOLSTOP, SCIP_Lp::solved, TRUE, and SCIP_Row::vals.

Referenced by conflictAnalyzeLP(), and SCIPrunBoundHeuristic().

◆ SCIPgetDualProof()

SCIP_RETCODE SCIPgetDualProof ( SCIP_SET set,
SCIP_PROB transprob,
SCIP_LP lp,
SCIP_LPI lpi,
SCIP_TREE tree,
SCIP_AGGRROW farkasrow,
SCIP_Real farkasact,
int *  validdepth,
SCIP_Real curvarlbs,
SCIP_Real curvarubs,
SCIP_Bool valid 
)

calculates a dual proof from the current dual LP solution

Parameters
setglobal SCIP settings
transprobtransformed problem
lpLP data
lpiLPI data
treetree data
farkasrowaggregated row representing the proof
farkasactmaximal activity of the proof constraint
validdepthpointer to store the valid depth of the proof constraint
curvarlbscurrent lower bounds of active problem variables
curvarubscurrent upper bounds of active problem variables
validpointer store whether the proof constraint is valid

Definition at line 1341 of file conflict_general.c.

References addLocalRows(), addRowToAggrRow(), checkDualFeasibility(), SCIP_Row::cols, SCIP_Lp::cutoffbound, FALSE, SCIP_Lp::flushed, SCIP_Row::len, SCIP_Row::local, SCIP_Lp::lpirows, SCIP_Lp::nlpirows, NULL, NUMSTOP, r, REALABS, SCIP_Bool, SCIP_CALL, SCIP_LPERROR, SCIP_OKAY, SCIP_Real, SCIPaggrRowAddObjectiveFunction(), SCIPaggrRowClear(), SCIPaggrRowGetMinActivity(), SCIPaggrRowGetRhs(), SCIPaggrRowRemoveZeros(), SCIPfreeBufferArrayNull, SCIPlpGetNCols(), SCIPlpGetNRows(), SCIPlpGetRows(), SCIPlpiGetObjval(), SCIPlpiGetSol(), SCIPprobIsObjIntegral(), SCIProwGetLPDepth(), SCIPsetAllocBufferArray, SCIPsetCutoffbounddelta(), SCIPsetDebugMsg, SCIPsetFreeBufferArray, SCIPsetIsDualfeasZero(), SCIPsetIsFeasLE(), SCIPtreeGetFocusDepth(), SOLSTOP, SCIP_Lp::solved, TRUE, and SCIP_Row::vals.

Referenced by conflictAnalyzeLP(), and SCIPrunBoundHeuristic().

◆ SCIPconflictAnalyzePseudo()

SCIP_RETCODE SCIPconflictAnalyzePseudo ( SCIP_CONFLICT conflict,
BMS_BLKMEM blkmem,
SCIP_SET set,
SCIP_STAT stat,
SCIP_PROB transprob,
SCIP_PROB origprob,
SCIP_TREE tree,
SCIP_REOPT reopt,
SCIP_LP lp,
SCIP_BRANCHCAND branchcand,
SCIP_EVENTQUEUE eventqueue,
SCIP_CLIQUETABLE cliquetable,
SCIP_Bool success 
)

analyzes a pseudo solution with objective value exceeding the current cutoff to find out the bound changes on variables that were responsible for the objective value degradation; on success, calls standard conflict analysis with the responsible variables as starting conflict set, thus creating a conflict constraint out of the resulting conflict set; updates statistics for pseudo solution conflict analysis

Parameters
conflictconflict analysis data
blkmemblock memory of transformed problem
setglobal SCIP settings
statproblem statistics
transprobtransformed problem
origproboriginal problem
treebranch and bound tree
reoptreoptimization data structure
lpLP data
branchcandbranching candidate storage
eventqueueevent queue
cliquetableclique table data structure
successpointer to store whether a conflict constraint was created, or NULL

Definition at line 1568 of file conflict_general.c.

References SCIP_Conflict::conflictset, SCIP_ConflictSet::conflicttype, SCIP_Lp::cutoffbound, FALSE, SCIP_Lp::lpi, SCIP_Conflict::nconflictsets, SCIP_Var::nlbchginfos, SCIP_Conflict::npseudocalls, SCIP_Conflict::npseudoconfconss, SCIP_Conflict::npseudoconfliterals, SCIP_Conflict::npseudoreconvconss, SCIP_Conflict::npseudoreconvliterals, SCIP_Conflict::npseudosuccess, SCIP_Var::nubchginfos, NULL, SCIP_Prob::nvars, SCIP_Conflict::pseudoanalyzetime, SCIP_CALL, SCIP_CONFTYPE_BNDEXCEEDING, SCIP_OKAY, SCIP_Real, SCIPclockStart(), SCIPclockStop(), SCIPconflictAnalyzeRemainingBdchgs(), SCIPconflictFlushConss(), SCIPlpGetPseudoObjval(), SCIPprobIsObjIntegral(), SCIPsetAllocBufferArray, SCIPsetCutoffbounddelta(), SCIPsetDebugMsg, SCIPsetFreeBufferArray, SCIPsetIsFeasEQ(), SCIPsetIsFeasGT(), SCIPsetIsInfinity(), SCIPsetIsZero(), SCIPtreeGetCurrentDepth(), SCIPundoBdchgsProof(), SCIPvarGetLbLocal(), SCIPvarGetObj(), SCIPvarGetUbLocal(), TRUE, SCIP_ConflictSet::usescutoffbound, and SCIP_Prob::vars.

Referenced by applyBounding().

◆ SCIPconflictGetPseudoTime()

SCIP_Real SCIPconflictGetPseudoTime ( SCIP_CONFLICT conflict)

gets time in seconds used for analyzing pseudo solution conflicts

Parameters
conflictconflict analysis data

Definition at line 1720 of file conflict_general.c.

References NULL, SCIP_Conflict::pseudoanalyzetime, and SCIPclockGetTime().

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNPseudoCalls()

SCIP_Longint SCIPconflictGetNPseudoCalls ( SCIP_CONFLICT conflict)

gets number of calls to pseudo solution conflict analysis

Parameters
conflictconflict analysis data

Definition at line 1730 of file conflict_general.c.

References SCIP_Conflict::npseudocalls, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNPseudoSuccess()

SCIP_Longint SCIPconflictGetNPseudoSuccess ( SCIP_CONFLICT conflict)

gets number of calls to pseudo solution conflict analysis that yield at least one conflict constraint

Parameters
conflictconflict analysis data

Definition at line 1740 of file conflict_general.c.

References SCIP_Conflict::npseudosuccess, and NULL.

Referenced by SCIPprintConflictStatistics(), and SCIPsolveCIP().

◆ SCIPconflictGetNPseudoConflictConss()

SCIP_Longint SCIPconflictGetNPseudoConflictConss ( SCIP_CONFLICT conflict)

gets number of conflict constraints detected in pseudo solution conflict analysis

Parameters
conflictconflict analysis data

Definition at line 1750 of file conflict_general.c.

References SCIP_Conflict::npseudoconfconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNPseudoConflictLiterals()

SCIP_Longint SCIPconflictGetNPseudoConflictLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in conflict constraints created in pseudo solution conflict analysis

Parameters
conflictconflict analysis data

Definition at line 1760 of file conflict_general.c.

References SCIP_Conflict::npseudoconfliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ SCIPconflictGetNPseudoReconvergenceConss()

SCIP_Longint SCIPconflictGetNPseudoReconvergenceConss ( SCIP_CONFLICT conflict)

gets number of reconvergence constraints detected in pseudo solution conflict analysis

Parameters
conflictconflict analysis data

Definition at line 1770 of file conflict_general.c.

References SCIP_Conflict::npseudoreconvconss, and NULL.

Referenced by SCIPgetNConflictConssFound(), and SCIPprintConflictStatistics().

◆ SCIPconflictGetNPseudoReconvergenceLiterals()

SCIP_Longint SCIPconflictGetNPseudoReconvergenceLiterals ( SCIP_CONFLICT conflict)

gets total number of literals in reconvergence constraints created in pseudo solution conflict analysis

Parameters
conflictconflict analysis data

Definition at line 1780 of file conflict_general.c.

References SCIP_Conflict::npseudoreconvliterals, and NULL.

Referenced by SCIPprintConflictStatistics().

◆ conflictAnalyzeLP()

static SCIP_RETCODE conflictAnalyzeLP ( SCIP_CONFLICT conflict,
SCIP_CONFLICTSTORE conflictstore,
BMS_BLKMEM blkmem,
SCIP_SET set,
SCIP_STAT stat,
SCIP_PROB transprob,
SCIP_PROB origprob,
SCIP_TREE tree,
SCIP_REOPT reopt,
SCIP_LP lp,
SCIP_BRANCHCAND branchcand,
SCIP_EVENTQUEUE eventqueue,
SCIP_CLIQUETABLE cliquetable,
SCIP_Bool  diving,
SCIP_Bool dualproofsuccess,
int *  iterations,
int *  nconss,
int *  nliterals,
int *  nreconvconss,
int *  nreconvliterals,
SCIP_Bool  marklpunsolved 
)
static

actually performs analysis of infeasible LP

Parameters
conflictconflict analysis data
conflictstoreconflict store
blkmemblock memory of transformed problem
setglobal SCIP settings
statproblem statistics
transprobtransformed problem
origproboriginal problem
treebranch and bound tree
reoptreoptimization data structure
lpLP data
branchcandbranching candidate storage
eventqueueevent queue
cliquetableclique table data structure
divingare we in strong branching or diving mode?
dualproofsuccesspointer to store success result of dual proof analysis
iterationspointer to store the total number of LP iterations used
nconsspointer to store the number of generated conflict constraints
nliteralspointer to store the number of literals in generated conflict constraints
nreconvconsspointer to store the number of generated reconvergence constraints
nreconvliteralspointer to store the number of literals generated reconvergence constraints
marklpunsolvedwhether LP should be marked unsolved after analysis (needed for strong branching)

Definition at line 1791 of file conflict_general.c.

References BMSclearMemoryArray, SCIP_Stat::conflictlptime, SCIP_Conflict::conflictset, SCIP_ConflictSet::conflicttype, FALSE, SCIP_Lp::flushed, SCIP_Lp::lpiitlim, SCIP_Lp::lpiobjlim, SCIP_Stat::nconflictlpiterations, SCIP_Stat::nconflictlps, SCIP_Conflict::nconflictsets, SCIP_Var::nlbchginfos, SCIP_Conflict::nproofsets, SCIP_Var::nubchginfos, NULL, SCIP_Prob::nvars, SCIP_Conflict::proofset, SCIP_Bool, SCIP_CALL, SCIP_CONFTYPE_BNDEXCEEDING, SCIP_CONFTYPE_INFEASLP, SCIP_LONGINT_FORMAT, SCIP_LPERROR, SCIP_LPPAR_LPITLIM, SCIP_LPPAR_OBJLIM, SCIP_OKAY, SCIP_Real, SCIPaggrRowCreate(), SCIPaggrRowFree(), SCIPaggrRowGetInds(), SCIPaggrRowGetNNz(), SCIPaggrRowGetProbvarValue(), SCIPaggrRowGetRhs(), SCIPclockStart(), SCIPclockStop(), SCIPconflictAnalyzeDualProof(), SCIPconflictAnalyzeRemainingBdchgs(), SCIPconflictFlushConss(), SCIPconflictFlushProofset(), SCIPgetDualProof(), SCIPgetFarkasProof(), SCIPlpDivingObjChanged(), SCIPlpGetLPI(), SCIPlpiGetIterations(), SCIPlpiGetObjval(), SCIPlpiGetRealpar(), SCIPlpiInfinity(), SCIPlpiIsDualFeasible(), SCIPlpiIsObjlimExc(), SCIPlpiIsOptimal(), SCIPlpiIsPrimalInfeasible(), SCIPlpiSetIntpar(), SCIPlpiSetRealpar(), SCIPlpiSolveDual(), SCIPprobAllColsInLP(), SCIPprobGetNVars(), SCIPproofsetGetNVars(), SCIPrunBoundHeuristic(), SCIPsetAllocBufferArray, SCIPsetDebugMsg, SCIPsetFreeBufferArray, SCIPsetIsEQ(), SCIPsetIsGT(), SCIPsetIsLT(), SCIPtreeGetCurrentDepth(), SCIPtreeGetEffectiveRootDepth(), SCIPvarGetLbLocal(), SCIPvarGetLbLP(), SCIPvarGetProbindex(), SCIPvarGetUbLocal(), SCIPvarGetUbLP(), SCIP_Lp::solved, TRUE, and SCIP_Prob::vars.

Referenced by conflictAnalyzeBoundexceedingLP(), conflictAnalyzeInfeasibleLP(), and SCIPconflictAnalyzeStrongbranch().

◆ SCIPconflictAnalyzeStrongbranch()

SCIP_RETCODE SCIPconflictAnalyzeStrongbranch ( SCIP_CONFLICT conflict,
SCIP_CONFLICTSTORE conflictstore,
BMS_BLKMEM blkmem,
SCIP_SET set,
SCIP_STAT stat,
SCIP_PROB transprob,
SCIP_PROB origprob,
SCIP_TREE tree,
SCIP_REOPT reopt,
SCIP_LP lp,
SCIP_BRANCHCAND branchcand,
SCIP_EVENTQUEUE eventqueue,
SCIP_CLIQUETABLE cliquetable,
SCIP_COL col,
SCIP_Bool downconflict,
SCIP_Bool upconflict 
)

analyses infeasible strong branching sub problems for conflicts

Parameters
conflictconflict analysis data
conflictstoreconflict store
blkmemblock memory buffers
setglobal SCIP settings
statdynamic problem statistics
transprobtransformed problem
origproboriginal problem
treebranch and bound tree
reoptreoptimization data structure
lpLP data
branchcandbranching candidate storage
eventqueueevent queue
cliquetableclique table data structure
colLP column with at least one infeasible strong branching subproblem
downconflictpointer to store whether a conflict constraint was created for an infeasible downwards branch, or NULL
upconflictpointer to store whether a conflict constraint was created for an infeasible upwards branch, or NULL

Definition at line 2108 of file conflict_general.c.

References conflictAnalyzeLP(), SCIP_Stat::conflictlptime, SCIP_Conflict::conflictset, SCIP_ConflictSet::conflicttype, SCIP_Lp::cutoffbound, FALSE, SCIP_Lp::flushed, SCIP_Col::lb, SCIP_Lp::lpi, SCIP_Col::lpipos, SCIP_Stat::nconflictlpiterations, SCIP_Stat::nconflictlps, SCIP_Lp::nlpicols, SCIP_Lp::nlpirows, SCIP_Conflict::nsbcalls, SCIP_Conflict::nsbconfconss, SCIP_Conflict::nsbconfliterals, SCIP_Conflict::nsbiterations, SCIP_Conflict::nsbreconvconss, SCIP_Conflict::nsbreconvliterals, SCIP_Conflict::nsbsuccess, NULL, SCIP_Col::primsol, SCIP_Conflict::sbanalyzetime, SCIP_Col::sbdown, SCIP_Col::sbdownvalid, SCIP_Col::sbup, SCIP_Col::sbupvalid, SCIP_Bool, SCIP_CALL, SCIP_CONFTYPE_INFEASLP, SCIP_LPERROR, SCIP_OKAY, SCIP_Real, SCIPclockStart(), SCIPclockStop(), SCIPcolGetVar(), SCIPlpiChgBounds(), SCIPlpiEndStrongbranch(), SCIPlpiGetBase(), SCIPlpiGetIterations(), SCIPlpiIsStable(), SCIPlpiSetBase(), SCIPlpiSolveDual(), SCIPlpiStartStrongbranch(), SCIPprobAllColsInLP(), SCIPsetAllocBufferArray, SCIPsetDebugMsg, SCIPsetFeasCeil(), SCIPsetFeasFloor(), SCIPsetFreeBufferArray, SCIPsetIsGE(), SCIPtreeGetCurrentDepth(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), SCIP_Lp::solved, TRUE, and SCIP_Col::ub.

Referenced by analyzeStrongbranch().

◆ conflictAnalyzeInfeasibleLP()

static SCIP_RETCODE conflictAnalyzeInfeasibleLP ( SCIP_CONFLICT conflict,
SCIP_CONFLICTSTORE conflictstore,
BMS_BLKMEM blkmem,
SCIP_SET set,
SCIP_STAT stat,
SCIP_PROB transprob,
SCIP_PROB origprob,
SCIP_TREE tree,
SCIP_REOPT reopt,
SCIP_LP lp,
SCIP_BRANCHCAND branchcand,
SCIP_EVENTQUEUE eventqueue,
SCIP_CLIQUETABLE cliquetable,
SCIP_Bool success 
)
static

analyzes an infeasible LP to find out the bound changes on variables that were responsible for the infeasibility; on success, calls standard conflict analysis with the responsible variables as starting conflict set, thus creating a conflict constraint out of the resulting conflict set; updates statistics for infeasible LP conflict analysis

Parameters
conflictconflict analysis data
conflictstoreconflict store
blkmemblock memory of transformed problem
setglobal SCIP settings
statproblem statistics
transprobtransformed problem
origproboriginal problem
treebranch and bound tree
reoptreoptimization data structure
lpLP data
branchcandbranching candidate storage
eventqueueevent queue
cliquetableclique table data structure
successpointer to store whether a conflict constraint was created, or NULL

Definition at line 2356 of file conflict_general.c.

References conflictAnalyzeLP(), SCIP_Conflict::conflictset, SCIP_ConflictSet::conflicttype, FALSE, SCIP_Conflict::inflpanalyzetime, SCIP_Conflict::ndualproofsinfsuccess, SCIP_Conflict::ninflpcalls, SCIP_Conflict::ninflpconfconss, SCIP_Conflict::ninflpconfliterals, SCIP_Conflict::ninflpiterations, SCIP_Conflict::ninflpreconvconss, SCIP_Conflict::ninflpreconvliterals, SCIP_Conflict::ninflpsuccess, NULL, SCIP_Bool, SCIP_CALL, SCIP_CONFTYPE_INFEASLP, SCIP_Longint, SCIP_OKAY, SCIPclockStart(), SCIPclockStop(), SCIPlpDiving(), SCIPlpDivingObjChanged(), SCIPlpGetSolstat(), SCIPprobAllColsInLP(), SCIPsetDebugMsg, SCIPtreeGetCurrentDepth(), and TRUE.

Referenced by SCIPconflictAnalyzeLP().

◆ conflictAnalyzeBoundexceedingLP()

static SCIP_RETCODE conflictAnalyzeBoundexceedingLP ( SCIP_CONFLICT conflict,
SCIP_CONFLICTSTORE conflictstore,
BMS_BLKMEM blkmem,
SCIP_SET set,
SCIP_STAT stat,
SCIP_PROB transprob,
SCIP_PROB origprob,
SCIP_TREE tree,
SCIP_REOPT reopt,
SCIP_LP lp,
SCIP_BRANCHCAND branchcand,
SCIP_EVENTQUEUE eventqueue,
SCIP_CLIQUETABLE cliquetable,
SCIP_Bool success 
)
static

analyzes a bound exceeding LP to find out the bound changes on variables that were responsible for exceeding the primal bound; on success, calls standard conflict analysis with the responsible variables as starting conflict set, thus creating a conflict constraint out of the resulting conflict set; updates statistics for bound exceeding LP conflict analysis

Parameters
conflictconflict analysis data
conflictstoreconflict store
blkmemblock memory of transformed problem
setglobal SCIP settings
statproblem statistics
transprobtransformed problem
origproboriginal problem
treebranch and bound tree
reoptreoptimization data structure
lpLP data
branchcandbranching candidate storage
eventqueueevent queue
cliquetableclique table data structure
successpointer to store whether a conflict constraint was created, or NULL

Definition at line 2432 of file conflict_general.c.

References SCIP_Conflict::boundlpanalyzetime, conflictAnalyzeLP(), SCIP_Conflict::conflictset, SCIP_ConflictSet::conflicttype, FALSE, SCIP_Conflict::nboundlpcalls, SCIP_Conflict::nboundlpconfconss, SCIP_Conflict::nboundlpconfliterals, SCIP_Conflict::nboundlpiterations, SCIP_Conflict::nboundlpreconvconss, SCIP_Conflict::nboundlpreconvliterals, SCIP_Conflict::nboundlpsuccess, SCIP_Conflict::ndualproofsbndsuccess, SCIP_Conflict::ndualproofsinfsuccess, NULL, SCIP_Bool, SCIP_CALL, SCIP_CONFTYPE_BNDEXCEEDING, SCIP_Longint, SCIP_OKAY, SCIPclockStart(), SCIPclockStop(), SCIPlpDiving(), SCIPlpDivingObjChanged(), SCIPlpGetSolstat(), SCIPprobAllColsInLP(), SCIPsetDebugMsg, SCIPtreeGetCurrentDepth(), TRUE, and SCIP_ConflictSet::usescutoffbound.

Referenced by SCIPconflictAnalyzeLP().

◆ SCIPconflictAnalyzeLP()

SCIP_RETCODE SCIPconflictAnalyzeLP ( SCIP_CONFLICT conflict,
SCIP_CONFLICTSTORE conflictstore,
BMS_BLKMEM blkmem,
SCIP_SET set,
SCIP_STAT stat,
SCIP_PROB transprob,
SCIP_PROB origprob,
SCIP_TREE tree,
SCIP_REOPT reopt,
SCIP_LP lp,
SCIP_BRANCHCAND branchcand,
SCIP_EVENTQUEUE eventqueue,
SCIP_CLIQUETABLE cliquetable,
SCIP_Bool success 
)

analyzes an infeasible or bound exceeding LP to find out the bound changes on variables that were responsible for the infeasibility or for exceeding the primal bound; on success, calls standard conflict analysis with the responsible variables as starting conflict set, thus creating a conflict constraint out of the resulting conflict set; updates statistics for infeasible or bound exceeding LP conflict analysis; may only be called if SCIPprobAllColsInLP()

Parameters
conflictconflict analysis data
conflictstoreconflict store
blkmemblock memory of transformed problem
setglobal SCIP settings
statproblem statistics
transprobtransformed problem
origproboriginal problem
treebranch and bound tree
reoptreoptimization data structure
lpLP data
branchcandbranching candidate storage
eventqueueevent queue
cliquetableclique table data structure
successpointer to store whether a conflict constraint was created, or NULL

Definition at line 2511 of file conflict_general.c.

References SCIP_RowSolVals::activity, SCIP_Row::activity, SCIP_ColSolVals::basisstatus, SCIP_RowSolVals::basisstatus, SCIP_Col::basisstatus, SCIP_Row::basisstatus, SCIP_Lp::cols, conflictAnalyzeBoundexceedingLP(), conflictAnalyzeInfeasibleLP(), SCIP_LpSolVals::dualchecked, SCIP_Lp::dualchecked, SCIP_Row::dualfarkas, SCIP_LpSolVals::dualfeasible, SCIP_Lp::dualfeasible, SCIP_RowSolVals::dualsol, SCIP_Row::dualsol, FALSE, SCIP_Lp::flushed, SCIP_LpSolVals::lpissolved, SCIP_LpSolVals::lpobjval, SCIP_Lp::lpobjval, SCIP_LpSolVals::lpsolstat, SCIP_Lp::lpsolstat, SCIP_Lp::ncols, SCIP_Lp::nrows, NULL, SCIP_LpSolVals::primalchecked, SCIP_Lp::primalchecked, SCIP_LpSolVals::primalfeasible, SCIP_Lp::primalfeasible, SCIP_ColSolVals::primsol, SCIP_Col::primsol, r, SCIP_ColSolVals::redcost, SCIP_Col::redcost, SCIP_Lp::rows, SCIP_CALL, SCIP_LPSOLSTAT_INFEASIBLE, SCIP_LPSOLSTAT_NOTSOLVED, SCIP_LPSOLSTAT_OBJLIMIT, SCIP_LPSOLSTAT_OPTIMAL, SCIP_OKAY, SCIPlpGetLPI(), SCIPlpGetSolstat(), SCIPlpiIsPrimalInfeasible(), SCIPlpiWasSolved(), SCIPprobAllColsInLP(), SCIPsetAllocBufferArray, SCIPsetFreeBufferArray, SCIP_LpSolVals::solisbasic, SCIP_Lp::solisbasic, and SCIP_Lp::solved.

Referenced by priceAndCutLoop(), SCIPsolveDiveLP(), and solveProbingLP().