cons_nonlinear.c File Reference

Detailed Description

constraint handler for nonlinear constraints

Author

Stefan Vigerske

Ingmar Vierhaus (consparse)

Definition in file cons_nonlinear.c.

#include <assert.h>
#include <math.h>
#include <string.h>
#include <ctype.h>
#include "scip/cons_nonlinear.h"
#include "scip/cons_linear.h"
#include "scip/heur_trysol.h"
#include "scip/heur_subnlp.h"
#include "nlpi/exprinterpret.h"
#include "scip/debug.h"

Go to the source code of this file.

Macros
#define	CONSHDLR_NAME   "nonlinear"
#define	CONSHDLR_DESC   "constraint handler for nonlinear constraints"
#define	CONSHDLR_SEPAPRIORITY   10
#define	CONSHDLR_ENFOPRIORITY   -60
#define	CONSHDLR_CHECKPRIORITY   -4000010
#define	CONSHDLR_SEPAFREQ   1
#define	CONSHDLR_PROPFREQ   1
#define	CONSHDLR_EAGERFREQ   100
#define	CONSHDLR_MAXPREROUNDS   -1
#define	CONSHDLR_DELAYSEPA   FALSE
#define	CONSHDLR_DELAYPROP   FALSE
#define	CONSHDLR_DELAYPRESOL   FALSE
#define	CONSHDLR_NEEDSCONS   TRUE
#define	CONSHDLR_PROP_TIMING   SCIP_PROPTIMING_BEFORELP
#define	INTERVALINFTY   1E+43
#define	BOUNDTIGHTENING_MINSTRENGTH   0.05
#define	INITLPMAXVARVAL   1000.0
#define	infty2infty(infty1, infty2, val)   ((val) >= (infty1) ? (infty2) : (val))

Typedefs
typedef struct LinVarEventData	LINVAREVENTDATA
typedef struct SCIP_NlConsUpgrade	SCIP_NLCONSUPGRADE

Functions
static SCIP_RETCODE	catchLinearVarEvents (SCIP *scip, SCIP_CONS *cons, int linvarpos)
static SCIP_RETCODE	dropLinearVarEvents (SCIP *scip, SCIP_CONS *cons, int linvarpos)
static SCIP_RETCODE	lockLinearVariable (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real coef)
static SCIP_RETCODE	unlockLinearVariable (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real coef)
static void	consdataUpdateLinearActivity (SCIP *scip, SCIP_CONSDATA *consdata)
static void	consdataUpdateLinearActivityLbChange (SCIP *scip, SCIP_CONSDATA *consdata, SCIP_Real coef, SCIP_Real oldbnd, SCIP_Real newbnd)
static void	consdataUpdateLinearActivityUbChange (SCIP *scip, SCIP_CONSDATA *consdata, SCIP_Real coef, SCIP_Real oldbnd, SCIP_Real newbnd)
static	SCIP_DECL_EVENTEXEC (processLinearVarEvent)
static	SCIP_DECL_EVENTEXEC (processNonlinearVarEvent)
static	SCIP_DECL_EXPRGRAPHVARADDED (exprgraphVarAdded)
static	SCIP_DECL_EXPRGRAPHVARREMOVE (exprgraphVarRemove)
static SCIP_RETCODE	consdataAddExprtrees (SCIP *scip, SCIP_CONSDATA *consdata, int nexprtrees, SCIP_EXPRTREE **exprtrees, SCIP_Real *coefs, SCIP_Bool copytrees)
static SCIP_RETCODE	consdataSetExprtrees (SCIP *scip, SCIP_CONSDATA *consdata, int nexprtrees, SCIP_EXPRTREE **exprtrees, SCIP_Real *coefs, SCIP_Bool copytrees)
static SCIP_RETCODE	consdataEnsureLinearVarsSize (SCIP *scip, SCIP_CONSDATA *consdata, int num)
static SCIP_RETCODE	consdataCreate (SCIP *scip, SCIP_CONSDATA **consdata, SCIP_Real lhs, SCIP_Real rhs, int nlinvars, SCIP_VAR **linvars, SCIP_Real *lincoefs, int nexprtrees, SCIP_EXPRTREE **exprtrees, SCIP_Real *nonlincoefs, SCIP_Bool capturevars)
static SCIP_RETCODE	consdataCreateEmpty (SCIP *scip, SCIP_CONSDATA **consdata)
static SCIP_RETCODE	consdataFree (SCIP *scip, SCIP_CONSDATA **consdata)
static void	consdataSortLinearVars (SCIP_CONSDATA *consdata)
static void	consdataMoveLinearVar (SCIP_CONSDATA *consdata, int oldpos, int newpos)
static SCIP_RETCODE	addLinearCoef (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real coef)
static SCIP_RETCODE	delLinearCoefPos (SCIP *scip, SCIP_CONS *cons, int pos)
static SCIP_RETCODE	chgLinearCoefPos (SCIP *scip, SCIP_CONS *cons, int pos, SCIP_Real newcoef)
static SCIP_RETCODE	mergeAndCleanLinearVars (SCIP *scip, SCIP_CONS *cons)
static SCIP_RETCODE	removeFixedLinearVariables (SCIP *scip, SCIP_CONS *cons)
static SCIP_RETCODE	removeFixedNonlinearVariables (SCIP *scip, SCIP_CONSHDLR *conshdlr)
static SCIP_RETCODE	splitOffLinearPart (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons)
static SCIP_RETCODE	createNlRow (SCIP *scip, SCIP_CONS *cons)
static SCIP_RETCODE	presolveUpgrade (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, SCIP_Bool *upgraded, int *nupgdconss, int *naddconss)
static SCIP_RETCODE	checkCurvature (SCIP *scip, SCIP_CONS *cons, SCIP_Bool expensivechecks, SCIP_Bool assumeconvex)
static SCIP_RETCODE	reformReplaceNode (SCIP_EXPRGRAPH *exprgraph, SCIP_EXPRGRAPHNODE **node, SCIP_EXPRGRAPHNODE *replacement, SCIP_CONS **conss, int nconss)
static SCIP_RETCODE	reformNode2Var (SCIP *scip, SCIP_EXPRGRAPH *exprgraph, SCIP_EXPRGRAPHNODE *node, SCIP_CONS **conss, int nconss, int *naddcons, SCIP_Bool donotmultaggr)
static SCIP_RETCODE	reformEnsureChildrenMinCurvature (SCIP *scip, SCIP_EXPRGRAPH *exprgraph, SCIP_EXPRGRAPHNODE *node, SCIP_EXPRCURV mincurv, SCIP_CONS **conss, int nconss, int *naddcons)
static SCIP_RETCODE	reformMonomial (SCIP *scip, SCIP_EXPRGRAPH *exprgraph, int nfactors, SCIP_EXPRGRAPHNODE **factors, SCIP_Real *exponents, SCIP_EXPRGRAPHNODE **resultnode, SCIP_Bool createauxcons, int *naddcons)
static SCIP_RETCODE	reformulate (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, int *naddcons)
static SCIP_RETCODE	getGradientMaxElement (SCIP *scip, SCIP_EXPRINT *exprint, SCIP_CONS *cons, SCIP_SOL *sol, SCIP_Bool newsol, SCIP_Real *maxelem)
static SCIP_RETCODE	computeViolation (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, SCIP_SOL *sol)
static SCIP_RETCODE	computeViolations (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_SOL *sol, SCIP_CONS **maxviolcon)
static SCIP_RETCODE	addLinearization (SCIP *scip, SCIP_EXPRINT *exprint, SCIP_CONS *cons, int exprtreeidx, SCIP_Real *x, SCIP_Bool newx, SCIP_ROW *row, SCIP_Bool *success)
static SCIP_RETCODE	addConcaveEstimatorUnivariate (SCIP *scip, SCIP_CONS *cons, int exprtreeidx, SCIP_ROW *row, SCIP_Bool *success)
static void	getAlphaBetaGammaDelta (SCIP_Real a1, SCIP_Real a2, SCIP_Real a3, SCIP_Real b1, SCIP_Real b2, SCIP_Real b3, SCIP_Real c1, SCIP_Real c2, SCIP_Real c3, SCIP_Real *alpha, SCIP_Real *beta, SCIP_Real *gamma_, SCIP_Real *delta)
static SCIP_RETCODE	addConcaveEstimatorBivariate (SCIP *scip, SCIP_CONS *cons, int exprtreeidx, SCIP_Real *ref, SCIP_ROW *row, SCIP_Bool *success)
static SCIP_RETCODE	addConcaveEstimatorMultivariate (SCIP *scip, SCIP_CONS *cons, int exprtreeidx, SCIP_Real *ref, SCIP_ROW *row, SCIP_Bool *success)
static SCIP_RETCODE	addIntervalGradientEstimator (SCIP *scip, SCIP_EXPRINT *exprint, SCIP_CONS *cons, int exprtreeidx, SCIP_Real *x, SCIP_Bool newx, SCIP_Bool overestimate, SCIP_ROW *row, SCIP_Bool *success)
static SCIP_RETCODE	generateCut (SCIP *scip, SCIP_EXPRINT *exprint, SCIP_CONS *cons, SCIP_Real **ref, SCIP_SOL *sol, SCIP_Bool newsol, SCIP_SIDETYPE side, SCIP_ROW **row, SCIP_Real maxrange, SCIP_Bool expensivecurvchecks, SCIP_Bool assumeconvex)
static SCIP_RETCODE	separatePoint (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, int nusefulconss, SCIP_SOL *sol, SCIP_Bool newsol, SCIP_Real minefficacy, SCIP_Bool inenforcement, SCIP_RESULT *result, SCIP_Real *bestefficacy)
static SCIP_RETCODE	addLinearizationCuts (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_SOL *ref, SCIP_Bool *separatedlpsol, SCIP_Real minefficacy)
static	SCIP_DECL_EVENTEXEC (processNewSolutionEvent)
static SCIP_RETCODE	registerBranchingVariables (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, int *nnotify)
static SCIP_RETCODE	registerLargeLPValueVariableForBranching (SCIP *scip, SCIP_CONS **conss, int nconss, SCIP_VAR **brvar)
static SCIP_RETCODE	replaceViolatedByLinearConstraints (SCIP *scip, SCIP_CONS **conss, int nconss, SCIP_Bool *addedcons, SCIP_Bool *reduceddom, SCIP_Bool *infeasible)
static SCIP_RETCODE	propagateBoundsTightenVarLb (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real bnd, SCIP_RESULT *result, int *nchgbds)
static SCIP_RETCODE	propagateBoundsTightenVarUb (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real bnd, SCIP_RESULT *result, int *nchgbds)
static SCIP_RETCODE	propagateBoundsCons (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, SCIP_RESULT *result, int *nchgbds, SCIP_Bool *redundant)
static SCIP_RETCODE	propagateConstraintSides (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_RESULT *result, int *nchgbds)
static SCIP_RETCODE	propagateBounds (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_RESULT *result, int *nchgbds, int *ndelconss)
static void	consdataFindUnlockedLinearVar (SCIP *scip, SCIP_CONSDATA *consdata)
static SCIP_RETCODE	proposeFeasibleSolution (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_SOL *sol, SCIP_Bool *success)
static	SCIP_DECL_CONSHDLRCOPY (conshdlrCopyNonlinear)
static	SCIP_DECL_CONSFREE (consFreeNonlinear)
static	SCIP_DECL_CONSINIT (consInitNonlinear)
static	SCIP_DECL_CONSEXIT (consExitNonlinear)
static	SCIP_DECL_CONSINITPRE (consInitpreNonlinear)
static	SCIP_DECL_CONSEXITPRE (consExitpreNonlinear)
static	SCIP_DECL_CONSINITSOL (consInitsolNonlinear)
static	SCIP_DECL_CONSEXITSOL (consExitsolNonlinear)
static	SCIP_DECL_CONSDELETE (consDeleteNonlinear)
static	SCIP_DECL_CONSTRANS (consTransNonlinear)
static	SCIP_DECL_CONSINITLP (consInitlpNonlinear)
static	SCIP_DECL_CONSSEPALP (consSepalpNonlinear)
static	SCIP_DECL_CONSSEPASOL (consSepasolNonlinear)
static	SCIP_DECL_CONSENFOLP (consEnfolpNonlinear)
static	SCIP_DECL_CONSENFOPS (consEnfopsNonlinear)
static	SCIP_DECL_CONSCHECK (consCheckNonlinear)
static	SCIP_DECL_CONSPROP (consPropNonlinear)
static	SCIP_DECL_CONSPRESOL (consPresolNonlinear)
static	SCIP_DECL_CONSLOCK (consLockNonlinear)
static	SCIP_DECL_CONSACTIVE (consActiveNonlinear)
static	SCIP_DECL_CONSDEACTIVE (consDeactiveNonlinear)
static	SCIP_DECL_CONSENABLE (consEnableNonlinear)
static	SCIP_DECL_CONSDISABLE (consDisableNonlinear)
static	SCIP_DECL_CONSPRINT (consPrintNonlinear)
static	SCIP_DECL_CONSCOPY (consCopyNonlinear)
static	SCIP_DECL_CONSGETVARS (consGetVarsNonlinear)
static	SCIP_DECL_CONSGETNVARS (consGetNVarsNonlinear)
static	SCIP_DECL_CONSPARSE (consParseNonlinear)
SCIP_RETCODE	SCIPincludeConshdlrNonlinear (SCIP *scip)
SCIP_RETCODE	SCIPincludeNonlinconsUpgrade (SCIP *scip, SCIP_DECL_NONLINCONSUPGD((*nonlinconsupgd)), SCIP_DECL_EXPRGRAPHNODEREFORM((*nodereform)), int priority, SCIP_Bool active, const char *conshdlrname)
SCIP_RETCODE	SCIPcreateConsNonlinear (SCIP *scip, SCIP_CONS **cons, const char *name, int nlinvars, SCIP_VAR **linvars, SCIP_Real *lincoefs, int nexprtrees, SCIP_EXPRTREE **exprtrees, SCIP_Real *nonlincoefs, 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_RETCODE	SCIPcreateConsBasicNonlinear (SCIP *scip, SCIP_CONS **cons, const char *name, int nlinvars, SCIP_VAR **linvars, SCIP_Real *lincoefs, int nexprtrees, SCIP_EXPRTREE **exprtrees, SCIP_Real *nonlincoefs, SCIP_Real lhs, SCIP_Real rhs)
SCIP_RETCODE	SCIPcreateConsNonlinear2 (SCIP *scip, SCIP_CONS **cons, const char *name, int nlinvars, SCIP_VAR **linvars, SCIP_Real *lincoefs, SCIP_EXPRGRAPHNODE *exprgraphnode, 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_RETCODE	SCIPcreateConsBasicNonlinear2 (SCIP *scip, SCIP_CONS **cons, const char *name, int nlinvars, SCIP_VAR **linvars, SCIP_Real *lincoefs, SCIP_EXPRGRAPHNODE *exprgraphnode, SCIP_Real lhs, SCIP_Real rhs)
SCIP_RETCODE	SCIPaddLinearVarNonlinear (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *var, SCIP_Real coef)
SCIP_RETCODE	SCIPsetExprtreesNonlinear (SCIP *scip, SCIP_CONS *cons, int nexprtrees, SCIP_EXPRTREE **exprtrees, SCIP_Real *coefs)
SCIP_RETCODE	SCIPaddExprtreesNonlinear (SCIP *scip, SCIP_CONS *cons, int nexprtrees, SCIP_EXPRTREE **exprtrees, SCIP_Real *coefs)
SCIP_RETCODE	SCIPgetNlRowNonlinear (SCIP *scip, SCIP_CONS *cons, SCIP_NLROW **nlrow)
int	SCIPgetNLinearVarsNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_VAR **	SCIPgetLinearVarsNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_Real *	SCIPgetLinearCoefsNonlinear (SCIP *scip, SCIP_CONS *cons)
int	SCIPgetNExprtreesNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_EXPRTREE **	SCIPgetExprtreesNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_Real *	SCIPgetExprtreeCoefsNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_EXPRGRAPHNODE *	SCIPgetExprgraphNodeNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetLhsNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetRhsNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE	SCIPcheckCurvatureNonlinear (SCIP *scip, SCIP_CONS *cons)
SCIP_RETCODE	SCIPgetCurvatureNonlinear (SCIP *scip, SCIP_CONS *cons, SCIP_Bool checkcurv, SCIP_EXPRCURV *curvature)
SCIP_RETCODE	SCIPgetExprtreeCurvaturesNonlinear (SCIP *scip, SCIP_CONS *cons, SCIP_Bool checkcurv, SCIP_EXPRCURV **curvatures)
SCIP_RETCODE	SCIPgetViolationNonlinear (SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol, SCIP_Real *violation)
SCIP_EXPRGRAPH *	SCIPgetExprgraphNonlinear (SCIP *scip, SCIP_CONSHDLR *conshdlr)

Macro Definition Documentation

#define CONSHDLR_NAME   "nonlinear"

Definition at line 39 of file cons_nonlinear.c.

Referenced by SCIP_DECL_CONSEXITSOL(), SCIP_DECL_CONSINITSOL(), SCIPcreateConsNonlinear(), SCIPcreateConsNonlinear2(), SCIPincludeConshdlrNonlinear(), and SCIPincludeNonlinconsUpgrade().

#define CONSHDLR_DESC   "constraint handler for nonlinear constraints"

Definition at line 40 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_SEPAPRIORITY   10

priority of the constraint handler for separation

Definition at line 41 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_ENFOPRIORITY   -60

priority of the constraint handler for constraint enforcing

Definition at line 42 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_CHECKPRIORITY   -4000010

priority of the constraint handler for checking feasibility

Definition at line 43 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_SEPAFREQ   1

frequency for separating cuts; zero means to separate only in the root node

Definition at line 44 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_PROPFREQ   1

frequency for propagating domains; zero means only preprocessing propagation

Definition at line 45 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_EAGERFREQ   100

frequency for using all instead of only the useful constraints in separation, propagation and enforcement, -1 for no eager evaluations, 0 for first only

Definition at line 46 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_MAXPREROUNDS   -1

maximal number of presolving rounds the constraint handler participates in (-1: no limit)

Definition at line 48 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_DELAYSEPA   FALSE

should separation method be delayed, if other separators found cuts?

Definition at line 49 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_DELAYPROP   FALSE

should propagation method be delayed, if other propagators found reductions?

Definition at line 50 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_DELAYPRESOL   FALSE

should presolving method be delayed, if other presolvers found reductions?

Definition at line 51 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_NEEDSCONS   TRUE

should the constraint handler be skipped, if no constraints are available?

Definition at line 52 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define CONSHDLR_PROP_TIMING   SCIP_PROPTIMING_BEFORELP

Definition at line 53 of file cons_nonlinear.c.

Referenced by SCIPincludeConshdlrNonlinear().

#define INTERVALINFTY   1E+43

value for infinity in interval operations

Definition at line 55 of file cons_nonlinear.c.

Referenced by addIntervalGradientEstimator(), checkCurvature(), consdataUpdateLinearActivity(), consdataUpdateLinearActivityLbChange(), consdataUpdateLinearActivityUbChange(), propagateBounds(), propagateBoundsCons(), propagateBoundsTightenVarLb(), propagateBoundsTightenVarUb(), propagateConstraintSides(), reformEnsureChildrenMinCurvature(), reformMonomial(), reformulate(), replaceViolatedByLinearConstraints(), SCIP_DECL_CONSPRESOL(), SCIP_DECL_EVENTEXEC(), and SCIP_DECL_EXPRGRAPHVARADDED().

#define BOUNDTIGHTENING_MINSTRENGTH   0.05

minimal required bound tightening strength in expression graph domain tightening for propagating bound change

Definition at line 56 of file cons_nonlinear.c.

Referenced by propagateConstraintSides(), reformEnsureChildrenMinCurvature(), reformMonomial(), reformNode2Var(), and reformulate().

#define INITLPMAXVARVAL   1000.0

maximal absolute value of variable for still generating a linearization cut at that point in initlp

Definition at line 57 of file cons_nonlinear.c.

Referenced by SCIP_DECL_CONSINITLP().

#define infty2infty	(		infty1,
			infty2,
			val
	)		((val) >= (infty1) ? (infty2) : (val))

translate from one value of infinity to another

if val is >= infty1, then give infty2, else give val

Definition at line 176 of file cons_nonlinear.c.

Referenced by addIntervalGradientEstimator(), checkCurvature(), propagateBoundsCons(), SCIP_DECL_EVENTEXEC(), and SCIP_DECL_EXPRGRAPHVARADDED().

Typedef Documentation

typedef struct LinVarEventData LINVAREVENTDATA

Definition at line 71 of file cons_nonlinear.c.

typedef struct SCIP_NlConsUpgrade SCIP_NLCONSUPGRADE

Definition at line 127 of file cons_nonlinear.c.

Function Documentation

static SCIP_RETCODE catchLinearVarEvents ( SCIP *  scip, SCIP_CONS *  cons, int  linvarpos  )

static

Parameters

scip	SCIP data structure
cons	constraint for which to catch bound change events
linvarpos	position of variable in linear variables array

Definition at line 180 of file cons_nonlinear.c.

References LinVarEventData::consdata, LinVarEventData::conshdlrdata, FALSE, LinVarEventData::filterpos, NULL, SCIP_CALL, SCIP_EVENTTYPE_LBCHANGED, SCIP_EVENTTYPE_UBCHANGED, SCIP_EVENTTYPE_VARFIXED, SCIP_INVALID, SCIP_OKAY, SCIPallocBlockMemory, SCIPallocBlockMemoryArray, SCIPcatchVarEvent(), SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconshdlrGetData(), SCIPconsIsEnabled(), SCIPconsIsTransformed(), SCIPisInfinity(), and LinVarEventData::varidx.

Referenced by addLinearCoef(), chgLinearCoefPos(), and SCIP_DECL_CONSENABLE().

static SCIP_RETCODE dropLinearVarEvents ( SCIP *  scip, SCIP_CONS *  cons, int  linvarpos  )

static

Parameters

scip	SCIP data structure
cons	constraint for which to catch bound change events
linvarpos	position of variable in linear variables array

Definition at line 250 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_EVENTTYPE_LBCHANGED, SCIP_EVENTTYPE_UBCHANGED, SCIP_EVENTTYPE_VARFIXED, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconshdlrGetData(), SCIPconsIsTransformed(), SCIPdropVarEvent(), SCIPfreeBlockMemory, and SCIPisInfinity().

Referenced by chgLinearCoefPos(), delLinearCoefPos(), and SCIP_DECL_CONSDISABLE().

static SCIP_RETCODE lockLinearVariable ( SCIP *  scip, SCIP_CONS *  cons, SCIP_VAR *  var, SCIP_Real  coef  )

static

locks a linear variable in a constraint

Parameters

scip	SCIP data structure
cons	constraint where to lock a variable
var	variable to lock
coef	coefficient of variable in constraint

Definition at line 307 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPisInfinity(), and SCIPlockVarCons().

Referenced by addLinearCoef(), and chgLinearCoefPos().

static SCIP_RETCODE unlockLinearVariable ( SCIP *  scip, SCIP_CONS *  cons, SCIP_VAR *  var, SCIP_Real  coef  )

static

unlocks a linear variable in a constraint

Parameters

scip	SCIP data structure
cons	constraint where to unlock a variable
var	variable to unlock
coef	coefficient of variable in constraint

Definition at line 338 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPisInfinity(), and SCIPunlockVarCons().

Referenced by chgLinearCoefPos(), and delLinearCoefPos().

static void consdataUpdateLinearActivity ( SCIP *  scip, SCIP_CONSDATA *  consdata  )

static

computes the minimal and maximal activity for the linear part in a constraint data only sums up terms that contribute finite values gives the number of terms that contribute infinite values only computes those activities where the corresponding side of the constraint is finite

Parameters

scip	SCIP data structure
consdata	constraint data

Definition at line 373 of file cons_nonlinear.c.

References INTERVALINFTY, NULL, SCIP_INVALID, SCIP_Real, SCIPintervalGetRoundingMode(), SCIPintervalSetRoundingMode(), SCIPintervalSetRoundingModeDownwards(), SCIPintervalSetRoundingModeUpwards(), SCIPisInfinity(), SCIPvarGetLbLocal(), and SCIPvarGetUbLocal().

Referenced by propagateBoundsCons().

static void consdataUpdateLinearActivityLbChange ( SCIP *  scip, SCIP_CONSDATA *  consdata, SCIP_Real  coef, SCIP_Real  oldbnd, SCIP_Real  newbnd  )

static

update the linear activities after a change in the lower bound of a variable

Parameters

scip	SCIP data structure
consdata	constraint data
coef	coefficient of variable in constraint
oldbnd	previous lower bound of variable
newbnd	new lower bound of variable

Definition at line 483 of file cons_nonlinear.c.

References INTERVALINFTY, NULL, SCIP_INVALID, SCIPintervalGetRoundingMode(), SCIPintervalNegateReal(), SCIPintervalSetRoundingMode(), SCIPintervalSetRoundingModeDownwards(), SCIPintervalSetRoundingModeUpwards(), and SCIPisInfinity().

Referenced by SCIP_DECL_EVENTEXEC().

static void consdataUpdateLinearActivityUbChange ( SCIP *  scip, SCIP_CONSDATA *  consdata, SCIP_Real  coef, SCIP_Real  oldbnd, SCIP_Real  newbnd  )

static

update the linear activities after a change in the upper bound of a variable

Parameters

scip	SCIP data structure
consdata	constraint data
coef	coefficient of variable in constraint
oldbnd	previous lower bound of variable
newbnd	new lower bound of variable

Definition at line 580 of file cons_nonlinear.c.

References INTERVALINFTY, NULL, SCIP_INVALID, SCIPintervalGetRoundingMode(), SCIPintervalNegateReal(), SCIPintervalSetRoundingMode(), SCIPintervalSetRoundingModeDownwards(), SCIPintervalSetRoundingModeUpwards(), and SCIPisInfinity().

Referenced by SCIP_DECL_EVENTEXEC().

static SCIP_DECL_EVENTEXEC ( processLinearVarEvent  )

static

processes variable fixing or bound change event

Definition at line 676 of file cons_nonlinear.c.

References consdataUpdateLinearActivityLbChange(), consdataUpdateLinearActivityUbChange(), FALSE, NULL, SCIP_EVENTTYPE_BOUNDCHANGED, SCIP_EVENTTYPE_BOUNDTIGHTENED, SCIP_EVENTTYPE_LBCHANGED, SCIP_EVENTTYPE_VARFIXED, SCIP_OKAY, SCIPeventGetNewbound(), SCIPeventGetOldbound(), and SCIPeventGetType().

static SCIP_DECL_EVENTEXEC ( processNonlinearVarEvent  )

static

processes bound change events for variables in expression graph

Definition at line 722 of file cons_nonlinear.c.

References FALSE, infty2infty, INTERVALINFTY, NULL, SCIP_EVENTTYPE_BOUNDCHANGED, SCIP_EVENTTYPE_BOUNDTIGHTENED, SCIP_EVENTTYPE_LBCHANGED, SCIP_EVENTTYPE_VARFIXED, SCIP_OKAY, SCIP_Real, SCIPdebugMessage, SCIPepsilon(), SCIPeventGetNewbound(), SCIPeventGetOldbound(), SCIPeventGetType(), SCIPeventGetVar(), SCIPeventhdlrGetData(), SCIPexprgraphSetVarNodeLb(), SCIPexprgraphSetVarNodeUb(), SCIPinfinity(), and SCIPvarGetName().

static SCIP_DECL_EXPRGRAPHVARADDED ( exprgraphVarAdded  )

static

callback method for variable addition in expression graph

Definition at line 785 of file cons_nonlinear.c.

References FALSE, infty2infty, INTERVALINFTY, MAX, MIN, NULL, SCIP_CALL, SCIP_EVENTTYPE_BOUNDCHANGED, SCIP_EVENTTYPE_VARFIXED, SCIP_OKAY, SCIPaddVarLocks(), SCIPcaptureVar(), SCIPcatchVarEvent(), SCIPdebugMessage, SCIPexprgraphSetVarNodeBounds(), SCIPinfinity(), SCIPintervalSetBounds(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and SCIPvarIsActive().

static SCIP_DECL_EXPRGRAPHVARREMOVE ( exprgraphVarRemove  )

static

callback method for variable removal in expression graph

Definition at line 826 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_EVENTTYPE_BOUNDCHANGED, SCIP_EVENTTYPE_VARFIXED, SCIP_OKAY, SCIPaddVarLocks(), SCIPdebugMessage, SCIPdropVarEvent(), SCIPreleaseVar(), and SCIPvarGetName().

static SCIP_RETCODE consdataAddExprtrees ( SCIP *  scip, SCIP_CONSDATA *  consdata, int  nexprtrees, SCIP_EXPRTREE **  exprtrees, SCIP_Real *  coefs, SCIP_Bool  copytrees  )

static

Parameters

scip	SCIP data structure
consdata	nonlinear constraint data
nexprtrees	number of expression trees
exprtrees	expression trees
coefs	coefficients of expression trees, or NULL if all 1.0
copytrees	whether trees should be copied or ownership should be assumed

Definition at line 855 of file cons_nonlinear.c.

References FALSE, NULL, SCIP_CALL, SCIP_EXPRCURV_UNKNOWN, SCIP_INVALID, SCIP_OKAY, SCIPallocBlockMemoryArray, SCIPblkmem(), SCIPexprtreeCopy(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPreallocBlockMemoryArray, and SCIPreleaseNlRow().

Referenced by consdataSetExprtrees(), and SCIPaddExprtreesNonlinear().

static SCIP_RETCODE consdataSetExprtrees ( SCIP *  scip, SCIP_CONSDATA *  consdata, int  nexprtrees, SCIP_EXPRTREE **  exprtrees, SCIP_Real *  coefs, SCIP_Bool  copytrees  )

static

Parameters

scip	SCIP data structure
consdata	nonlinear constraint data
nexprtrees	number of expression trees
exprtrees	expression trees
coefs	coefficients of expression trees, or NULL if all 1.0
copytrees	whether trees should be copied or ownership should be assumed

Definition at line 928 of file cons_nonlinear.c.

References consdataAddExprtrees(), FALSE, NULL, SCIP_CALL, SCIP_EXPRCURV_LINEAR, SCIP_INVALID, SCIP_OKAY, SCIPexprtreeFree(), SCIPfreeBlockMemoryArray, SCIPreleaseNlRow(), and TRUE.

Referenced by consdataCreate(), SCIP_DECL_CONSACTIVE(), SCIP_DECL_CONSDEACTIVE(), SCIP_DECL_CONSEXITPRE(), SCIP_DECL_CONSINITPRE(), SCIPcreateConsNonlinear(), and SCIPsetExprtreesNonlinear().

static SCIP_RETCODE consdataEnsureLinearVarsSize ( SCIP *  scip, SCIP_CONSDATA *  consdata, int  num  )

static

ensures, that linear vars and coefs arrays can store at least num entries

Parameters

scip	SCIP data structure
consdata	nonlinear constraint data
num	minimum number of entries to store

Definition at line 978 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPcalcMemGrowSize(), and SCIPreallocBlockMemoryArray.

Referenced by addLinearCoef(), removeFixedLinearVariables(), SCIPcreateConsNonlinear(), and SCIPcreateConsNonlinear2().

static SCIP_RETCODE consdataCreate ( SCIP *  scip, SCIP_CONSDATA **  consdata, SCIP_Real  lhs, SCIP_Real  rhs, int  nlinvars, SCIP_VAR **  linvars, SCIP_Real *  lincoefs, int  nexprtrees, SCIP_EXPRTREE **  exprtrees, SCIP_Real *  nonlincoefs, SCIP_Bool  capturevars  )

static

creates constraint data structure

Parameters

scip	SCIP data structure
consdata	a buffer to store pointer to new constraint data
lhs	left hand side of constraint
rhs	right hand side of constraint
nlinvars	number of linear variables
linvars	array of linear variables
lincoefs	array of coefficients of linear variables
nexprtrees	number of expression trees
exprtrees	expression trees
nonlincoefs	coefficients of expression trees
capturevars	whether we should capture variables

Definition at line 1008 of file cons_nonlinear.c.

References BMSclearMemory, consdataSetExprtrees(), NULL, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIPallocBlockMemory, SCIPcaptureVar(), SCIPduplicateBlockMemoryArray, SCIPisInfinity(), and TRUE.

Referenced by SCIP_DECL_CONSTRANS().

static SCIP_RETCODE consdataCreateEmpty ( SCIP *  scip, SCIP_CONSDATA **  consdata  )

static

creates empty constraint data structure

Parameters

scip	SCIP data structure
consdata	a buffer to store pointer to new constraint data

Definition at line 1076 of file cons_nonlinear.c.

References BMSclearMemory, NULL, SCIP_CALL, SCIP_EXPRCURV_LINEAR, SCIP_INVALID, SCIP_OKAY, SCIPallocBlockMemory, SCIPinfinity(), and TRUE.

Referenced by SCIPcreateConsNonlinear(), and SCIPcreateConsNonlinear2().

static SCIP_RETCODE consdataFree ( SCIP *  scip, SCIP_CONSDATA **  consdata  )

static

frees constraint data structure

Parameters

scip	SCIP data structure
consdata	pointer to constraint data to free

Definition at line 1114 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPexprtreeFree(), SCIPfreeBlockMemory, SCIPfreeBlockMemoryArray, SCIPfreeBlockMemoryArrayNull, SCIPreleaseNlRow(), and SCIPreleaseVar().

Referenced by SCIP_DECL_CONSDELETE().

static void consdataSortLinearVars ( SCIP_CONSDATA *  consdata )

static

sorts linear part of constraint data

Parameters

consdata

nonlinear constraint data

Definition at line 1174 of file cons_nonlinear.c.

References NULL, SCIPsortPtrPtrReal(), SCIPsortPtrReal(), and TRUE.

Referenced by mergeAndCleanLinearVars().

static void consdataMoveLinearVar ( SCIP_CONSDATA *  consdata, int  oldpos, int  newpos  )

static

moves a linear variable from one position to another

Parameters

consdata	constraint data
oldpos	position of variable that shall be moved
newpos	new position of variable

Definition at line 1236 of file cons_nonlinear.c.

References FALSE, and NULL.

Referenced by delLinearCoefPos().

static SCIP_RETCODE addLinearCoef ( SCIP *  scip, SCIP_CONS *  cons, SCIP_VAR *  var, SCIP_Real  coef  )

static

adds linear coefficient in nonlinear constraint

Parameters

scip	SCIP data structure
cons	nonlinear constraint
var	variable of constraint entry
coef	coefficient of constraint entry

Definition at line 1269 of file cons_nonlinear.c.

References catchLinearVarEvents(), consdataEnsureLinearVarsSize(), FALSE, lockLinearVariable(), NULL, SCIP_Bool, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIPcaptureVar(), SCIPconsGetData(), SCIPconsIsEnabled(), SCIPconsIsTransformed(), SCIPgetTransformedVar(), SCIPisZero(), SCIPreleaseNlRow(), SCIPvarCompare(), SCIPvarIsActive(), SCIPvarIsTransformed(), and TRUE.

Referenced by removeFixedLinearVariables(), SCIPaddLinearVarNonlinear(), SCIPcreateConsNonlinear(), SCIPcreateConsNonlinear2(), and splitOffLinearPart().

static SCIP_RETCODE delLinearCoefPos ( SCIP *  scip, SCIP_CONS *  cons, int  pos  )

static

deletes linear coefficient at given position from nonlinear constraint data

Parameters

scip	SCIP data structure
cons	nonlinear constraint
pos	position of coefficient to delete

Definition at line 1349 of file cons_nonlinear.c.

References consdataMoveLinearVar(), dropLinearVarEvents(), FALSE, NULL, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPconsIsEnabled(), SCIPreleaseNlRow(), SCIPreleaseVar(), and unlockLinearVariable().

Referenced by mergeAndCleanLinearVars(), and removeFixedLinearVariables().

static SCIP_RETCODE chgLinearCoefPos ( SCIP *  scip, SCIP_CONS *  cons, int  pos, SCIP_Real  newcoef  )

static

changes linear coefficient value at given position of nonlinear constraint

Parameters

scip	SCIP data structure
cons	nonlinear constraint
pos	position of linear coefficient to change
newcoef	new value of linear coefficient

Definition at line 1409 of file cons_nonlinear.c.

References catchLinearVarEvents(), dropLinearVarEvents(), FALSE, lockLinearVariable(), NULL, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPconsIsEnabled(), SCIPconsIsLocked(), SCIPconsIsTransformed(), SCIPisZero(), SCIPreleaseNlRow(), SCIPvarIsTransformed(), and unlockLinearVariable().

Referenced by mergeAndCleanLinearVars().

static SCIP_RETCODE mergeAndCleanLinearVars ( SCIP *  scip, SCIP_CONS *  cons  )

static

Parameters

scip	SCIP data structure
cons	nonlinear constraint

Definition at line 1494 of file cons_nonlinear.c.

References chgLinearCoefPos(), consdataSortLinearVars(), delLinearCoefPos(), NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPisZero(), and TRUE.

Referenced by removeFixedLinearVariables(), and SCIP_DECL_CONSEXITPRE().

static SCIP_RETCODE removeFixedLinearVariables ( SCIP *  scip, SCIP_CONS *  cons  )

static

removes fixes (or aggregated) linear variables from a nonlinear constraint

Parameters

scip	SCIP data structure
cons	nonlinearconstraint

Definition at line 1553 of file cons_nonlinear.c.

References addLinearCoef(), consdataEnsureLinearVarsSize(), delLinearCoefPos(), mergeAndCleanLinearVars(), NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIP_VARSTATUS_MULTAGGR, SCIPconsGetData(), SCIPconsGetName(), SCIPdebugMessage, SCIPdebugPrintCons, SCIPgetProbvarSum(), SCIPisInfinity(), SCIPvarGetMultaggrConstant(), SCIPvarGetMultaggrNVars(), SCIPvarGetMultaggrScalars(), SCIPvarGetMultaggrVars(), SCIPvarGetName(), SCIPvarGetStatus(), SCIPvarIsActive(), and TRUE.

Referenced by SCIP_DECL_CONSEXITPRE(), and SCIP_DECL_CONSPRESOL().

static SCIP_RETCODE removeFixedNonlinearVariables ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr  )

static

removes fixed variables from expression graph

Parameters

scip	SCIP data structure
conshdlr	constraint handler

Definition at line 1661 of file cons_nonlinear.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPallocBufferArray, SCIPconshdlrGetData(), SCIPdebug, SCIPdebugMessage, SCIPdebugPrintf, SCIPexprgraphGetNVars(), SCIPexprgraphGetVars(), SCIPexprgraphReplaceVarByLinearSum(), SCIPfreeBufferArray, SCIPgetProbvarLinearSum(), SCIPreallocBufferArray, SCIPvarGetName(), SCIPvarIsActive(), and TRUE.

Referenced by SCIP_DECL_CONSEXITPRE(), and SCIP_DECL_CONSPRESOL().

static SCIP_RETCODE splitOffLinearPart ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons  )

static

moves constant and linear part from expression graph node into constraint sides and linear part frees expression graph node if expression is constant or linear

Parameters

scip	SCIP data structure
conshdlr	constraint handler
cons	nonlinear constraint

Definition at line 1742 of file cons_nonlinear.c.

References addLinearCoef(), MAX, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPallocBufferArray, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPexprgraphGetNodeNChildren(), SCIPexprgraphNodeSplitOffLinear(), SCIPfreeBufferArray, and SCIPisInfinity().

Referenced by SCIP_DECL_CONSEXITPRE(), and SCIP_DECL_CONSPRESOL().

static SCIP_RETCODE createNlRow ( SCIP *  scip, SCIP_CONS *  cons  )

static

create a nonlinear row representation of the constraint and stores them in consdata

Parameters

scip	SCIP data structure
cons	nonlinear constraint

Definition at line 1803 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPcreateNlRow(), SCIPexprgraphGetTree(), SCIPexprtreeFree(), and SCIPreleaseNlRow().

Referenced by SCIP_DECL_CONSINITSOL(), and SCIPgetNlRowNonlinear().

static SCIP_RETCODE presolveUpgrade ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, SCIP_Bool *  upgraded, int *  nupgdconss, int *  naddconss  )

static

tries to automatically convert a nonlinear constraint (or a part of it) into a more specific and more specialized constraint

Parameters

scip	SCIP data structure
conshdlr	constraint handler data structure
cons	source constraint to try to convert
upgraded	buffer to store whether constraint was upgraded
nupgdconss	buffer to increase if constraint was upgraded
naddconss	buffer to increase with number of additional constraints created during upgrade

Definition at line 1861 of file cons_nonlinear.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPaddCons(), SCIPallocBufferArray, SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsModifiable(), SCIPdebugGetSolVal, SCIPdebugMessage, SCIPdebugPrintCons, SCIPdebugPrintf, SCIPdelCons(), SCIPexprgraphEval(), SCIPexprgraphGetNVars(), SCIPexprgraphGetVars(), SCIPfreeBufferArray, SCIPreallocBufferArray, SCIPreleaseCons(), and TRUE.

Referenced by SCIP_DECL_CONSPRESOL().

static SCIP_RETCODE checkCurvature ( SCIP *  scip, SCIP_CONS *  cons, SCIP_Bool  expensivechecks, SCIP_Bool  assumeconvex  )

static

checks a nonlinear constraint for convexity and/or concavity

Parameters

scip	SCIP data structure
cons	nonlinear constraint
expensivechecks	whether also expensive checks should be executed
assumeconvex	whether to assume convexity in inequalities

Definition at line 1980 of file cons_nonlinear.c.

References infty2infty, INTERVALINFTY, MAX, MIN, NULL, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_EXPRCURV_LINEAR, SCIP_EXPRCURV_UNKNOWN, SCIP_OKAY, SCIPallocBufferArray, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebug, SCIPdebugMessage, SCIPdebugPrintf, SCIPexprcurvAdd(), SCIPexprcurvGetName(), SCIPexprcurvMultiply(), SCIPexprtreeCheckCurvature(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPexprtreePrintWithNames(), SCIPfreeBufferArrayNull, SCIPgetMessagehdlr(), SCIPinfinity(), SCIPintervalSetBounds(), SCIPisInfinity(), SCIPreallocBufferArray, SCIPvarGetLbGlobal(), SCIPvarGetUbGlobal(), SCIPwarningMessage(), and TRUE.

Referenced by addLinearizationCuts(), generateCut(), SCIP_DECL_CONSINITLP(), SCIP_DECL_CONSSEPALP(), SCIPcheckCurvatureNonlinear(), SCIPgetCurvatureNonlinear(), and SCIPgetExprtreeCurvaturesNonlinear().

static SCIP_RETCODE reformReplaceNode ( SCIP_EXPRGRAPH *  exprgraph, SCIP_EXPRGRAPHNODE **  node, SCIP_EXPRGRAPHNODE *  replacement, SCIP_CONS **  conss, int  nconss  )

static

Parameters

exprgraph	expression graph
node	pointer to node to be replaced in expression graph
replacement	node which takes node's place
conss	constraints
nconss	number of constraints

Definition at line 2077 of file cons_nonlinear.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPexprgraphCaptureNode(), SCIPexprgraphGetNodeNParents(), SCIPexprgraphMoveNodeParents(), and SCIPexprgraphReleaseNode().

Referenced by reformNode2Var(), and reformulate().

static SCIP_RETCODE reformNode2Var ( SCIP *  scip, SCIP_EXPRGRAPH *  exprgraph, SCIP_EXPRGRAPHNODE *  node, SCIP_CONS **  conss, int  nconss, int *  naddcons, SCIP_Bool  donotmultaggr  )

static

creates a new auxiliary variable and a new auxiliary nonlinear constraint connecting the var and a given node node is replaced by new new auxiliary variables node in all parents of node in expression graph and in all constraints that use node

Parameters

scip	SCIP data structure
exprgraph	expression graph
node	expression graph node
conss	constraints where to update exprgraphnode
nconss	number of constraints
naddcons	counter to increase when constraint is added
donotmultaggr	whether to mark auxiliary variable as not to multiaggregate

Definition at line 2127 of file cons_nonlinear.c.

References BOUNDTIGHTENING_MINSTRENGTH, FALSE, NULL, reformReplaceNode(), SCIP_Bool, SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddCons(), SCIPaddVar(), SCIPcreateConsNonlinear2(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugMessage, SCIPexprgraphAddVars(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNodeDepth(), SCIPexprgraphGetNodePosition(), SCIPexprgraphGetNodeVal(), SCIPexprgraphSetVarNodeValue(), SCIPexprgraphTightenNodeBounds(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPmarkDoNotMultaggrVar(), SCIPreleaseCons(), SCIPreleaseVar(), SCIPsnprintf(), and TRUE.

Referenced by reformEnsureChildrenMinCurvature(), and reformulate().

static SCIP_RETCODE reformEnsureChildrenMinCurvature ( SCIP *  scip, SCIP_EXPRGRAPH *  exprgraph, SCIP_EXPRGRAPHNODE *  node, SCIP_EXPRCURV  mincurv, SCIP_CONS **  conss, int  nconss, int *  naddcons  )

static

ensures that all children of a node have at least a given curvature by adding auxiliary variables

Parameters

scip	SCIP data structure
exprgraph	expression graph
node	expression graph node
mincurv	minimal desired curvature
conss	constraints to check whether they use one of the replaced nodes
nconss	number of constraints to check
naddcons	counter to increase when constraint is added

Definition at line 2200 of file cons_nonlinear.c.

References BOUNDTIGHTENING_MINSTRENGTH, FALSE, INTERVALINFTY, NULL, reformNode2Var(), SCIP_Bool, SCIP_CALL, SCIP_EXPR_VARIDX, SCIP_EXPRCURV_UNKNOWN, SCIP_OKAY, SCIPdebugMessage, SCIPexprcurvGetName(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNodeChildren(), SCIPexprgraphGetNodeCurvature(), SCIPexprgraphGetNodeDepth(), SCIPexprgraphGetNodeNChildren(), SCIPexprgraphGetNodeOperator(), SCIPexprgraphGetNodePosition(), SCIPexprgraphUpdateNodeBoundsCurvature(), SCIPintervalIsEmpty(), and TRUE.

Referenced by reformulate().

static SCIP_RETCODE reformMonomial ( SCIP *  scip, SCIP_EXPRGRAPH *  exprgraph, int  nfactors, SCIP_EXPRGRAPHNODE **  factors, SCIP_Real *  exponents, SCIP_EXPRGRAPHNODE **  resultnode, SCIP_Bool  createauxcons, int *  naddcons  )

static

reformulates a monomial by adding auxiliary variables and constraints for bilinear terms

Parameters

scip	SCIP data structure
exprgraph	expression graph
nfactors	number of factors
factors	factors
exponents	exponents, or NULL if all 1.0
resultnode	buffer to store node which represents the reformulated monomial
createauxcons	whether to create auxiliary var/cons
naddcons	buffer to increase by number of added cons

Definition at line 2255 of file cons_nonlinear.c.

References BOUNDTIGHTENING_MINSTRENGTH, FALSE, INTERVALINFTY, NULL, pow(), SCIP_CALL, SCIP_EXPR_INTPOWER, SCIP_EXPR_MINUS, SCIP_EXPR_MUL, SCIP_EXPR_REALPOWER, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddCons(), SCIPaddVar(), SCIPblkmem(), SCIPcreateConsNonlinear2(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugMessage, SCIPexprgraphAddNode(), SCIPexprgraphAddVars(), SCIPexprgraphCreateNode(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNodeChildren(), SCIPexprgraphGetNodeIntPowerExponent(), SCIPexprgraphGetNodeNChildren(), SCIPexprgraphGetNodeNParents(), SCIPexprgraphGetNodeOperator(), SCIPexprgraphGetNodeParents(), SCIPexprgraphGetNodeRealPowerExponent(), SCIPexprgraphGetNodeVal(), SCIPexprgraphSetVarNodeValue(), SCIPexprgraphUpdateNodeBoundsCurvature(), SCIPinfinity(), SCIPintervalIsEmpty(), SCIPisEQ(), SCIPisIntegral(), SCIPreleaseCons(), SCIPreleaseVar(), SCIPround(), SCIPsnprintf(), and TRUE.

Referenced by reformulate().

static SCIP_RETCODE reformulate ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, int *  naddcons  )

static

reformulates expression graph into a form so that for each node under- and overestimators could be computed similar to factorable reformulation in other global solvers, but sometimes does not split up complex operands (like quadratic)

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints
nconss	number of constraints
naddcons	buffer to increase by the number of added constraints

Definition at line 2577 of file cons_nonlinear.c.

References BMSclearMemoryArray, BOUNDTIGHTENING_MINSTRENGTH, SCIP_QuadElement::coef, FALSE, SCIP_QuadElement::idx1, SCIP_QuadElement::idx2, SCIP_Interval::inf, INTERVALINFTY, NULL, reformEnsureChildrenMinCurvature(), reformMonomial(), reformNode2Var(), reformReplaceNode(), SCIP_Bool, SCIP_CALL, SCIP_ERROR, SCIP_EXPR_ABS, SCIP_EXPR_CONST, SCIP_EXPR_COS, SCIP_EXPR_DIV, SCIP_EXPR_EXP, SCIP_EXPR_INTPOWER, SCIP_EXPR_LAST, SCIP_EXPR_LINEAR, SCIP_EXPR_LOG, SCIP_EXPR_MAX, SCIP_EXPR_MIN, SCIP_EXPR_MINUS, SCIP_EXPR_MUL, SCIP_EXPR_PARAM, SCIP_EXPR_PLUS, SCIP_EXPR_POLYNOMIAL, SCIP_EXPR_PRODUCT, SCIP_EXPR_QUADRATIC, SCIP_EXPR_REALPOWER, SCIP_EXPR_SIGN, SCIP_EXPR_SIGNPOWER, SCIP_EXPR_SIN, SCIP_EXPR_SQRT, SCIP_EXPR_SQUARE, SCIP_EXPR_SUM, SCIP_EXPR_TAN, SCIP_EXPR_VARIDX, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_EXPRCURV_LINEAR, SCIP_EXPRCURV_UNKNOWN, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_STAGE_PRESOLVING, SCIP_VARTYPE_CONTINUOUS, SCIPABORT, SCIPaddCons(), SCIPaddVar(), SCIPallocBufferArray, SCIPblkmem(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPcreateConsNonlinear2(), SCIPcreateVar(), SCIPdebug, SCIPdebugAddSolVal, SCIPdebugGetSolVal, SCIPdebugMessage, SCIPdebugPrintCons, SCIPdebugPrintf, SCIPerrorMessage, SCIPexprCreateMonomial(), SCIPexprcurvGetName(), SCIPexprcurvMultiply(), SCIPexprcurvNegate(), SCIPexprcurvPower(), SCIPexprGetMonomialChildIndices(), SCIPexprGetMonomialCoef(), SCIPexprGetMonomialExponents(), SCIPexprGetMonomialNFactors(), SCIPexprgraphAddNode(), SCIPexprgraphAddVars(), SCIPexprgraphCreateNode(), SCIPexprgraphCreateNodeLinear(), SCIPexprgraphCreateNodePolynomial(), SCIPexprgraphCreateNodeQuadratic(), SCIPexprgraphEval(), SCIPexprgraphGetDepth(), SCIPexprgraphGetNNodes(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNodeChildren(), SCIPexprgraphGetNodeCurvature(), SCIPexprgraphGetNodeDepth(), SCIPexprgraphGetNodeIntPowerExponent(), SCIPexprgraphGetNodeNChildren(), SCIPexprgraphGetNodeNParents(), SCIPexprgraphGetNodeOperator(), SCIPexprgraphGetNodePolynomialConstant(), SCIPexprgraphGetNodePolynomialMonomials(), SCIPexprgraphGetNodePolynomialNMonomials(), SCIPexprgraphGetNodePosition(), SCIPexprgraphGetNodes(), SCIPexprgraphGetNodeSignPowerExponent(), SCIPexprgraphGetNodeVal(), SCIPexprgraphGetNVars(), SCIPexprgraphGetVars(), SCIPexprgraphHasNodeNonlinearAncestor(), SCIPexprgraphHasNodeSibling(), SCIPexprgraphIsNodeEnabled(), SCIPexprgraphPrintNode(), SCIPexprgraphPropagateVarBounds(), SCIPexprgraphSetVarNodeValue(), SCIPexprgraphUpdateNodeBoundsCurvature(), SCIPexpropGetName(), SCIPfreeBufferArray, SCIPfreeBufferArrayNull, SCIPgetMessagehdlr(), SCIPgetStage(), SCIPinProbing(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPintervalIsEmpty(), SCIPisGE(), SCIPisInfinity(), SCIPisIntegral(), SCIPisLE(), SCIPreleaseCons(), SCIPreleaseVar(), SCIPround(), SCIPsnprintf(), SCIP_Interval::sup, and TRUE.

Referenced by SCIP_DECL_CONSPRESOL().

static SCIP_RETCODE getGradientMaxElement ( SCIP *  scip, SCIP_EXPRINT *  exprint, SCIP_CONS *  cons, SCIP_SOL *  sol, SCIP_Bool  newsol, SCIP_Real *  maxelem  )

static

gets maximal absolute element of gradient of nonlinear function

Parameters

scip	SCIP data structure
exprint	expressions interpreter
cons	constraint
sol	solution or NULL if LP solution should be used
newsol	have the expression trees been evaluated at sol before?
maxelem	buffer to store maximal element

Definition at line 3445 of file cons_nonlinear.c.

References FALSE, NULL, REALABS, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIP_STAGE_SOLVING, SCIPallocBufferArray, SCIPconsGetData(), SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfreeBufferArray, SCIPgetSolVal(), SCIPgetSolVals(), SCIPgetStage(), and TRUE.

Referenced by computeViolation().

static SCIP_RETCODE computeViolation ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, SCIP_SOL *  sol  )

static

computes activity and violation of a constraint during presolving and if the constraint is active, it is assumes that SCIPexprgraphEval has been called for sol before

Parameters

scip	SCIP data structure
conshdlr	constraint handler
cons	nonlinear constraint
sol	solution or NULL if LP solution should be used

Definition at line 3568 of file cons_nonlinear.c.

References FALSE, getGradientMaxElement(), MAX, MIN, NULL, REALABS, SCIP_CALL, SCIP_INVALID, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPABORT, SCIPallocBufferArray, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPerrorMessage, SCIPexprgraphGetNodeVal(), SCIPexprintCompile(), SCIPexprintEval(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfeastol(), SCIPfreeBufferArray, SCIPgetSolVal(), SCIPgetStage(), SCIPinfinity(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisFinite, SCIPisGT(), SCIPisInfinity(), SCIPvarGetLbLocal(), and SCIPvarGetUbLocal().

Referenced by computeViolations(), proposeFeasibleSolution(), SCIP_DECL_CONSCHECK(), and SCIPgetViolationNonlinear().

static SCIP_RETCODE computeViolations ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, SCIP_SOL *  sol, SCIP_CONS **  maxviolcon  )

static

computes violation of a set of constraints

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints
nconss	number of constraints
sol	solution or NULL if LP solution should be used
maxviolcon	buffer to store constraint with largest violation, or NULL if solution is feasible

Definition at line 3771 of file cons_nonlinear.c.

References computeViolation(), MAX, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPallocBufferArray, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPexprgraphEval(), SCIPexprgraphGetNVars(), SCIPexprgraphGetVars(), SCIPfeastol(), SCIPfreeBufferArray, SCIPgetSolVals(), SCIPgetStage(), and SCIPisGT().

Referenced by SCIP_DECL_CONSENFOLP(), SCIP_DECL_CONSENFOPS(), SCIP_DECL_CONSSEPALP(), and SCIP_DECL_CONSSEPASOL().

static SCIP_RETCODE addLinearization ( SCIP *  scip, SCIP_EXPRINT *  exprint, SCIP_CONS *  cons, int  exprtreeidx, SCIP_Real *  x, SCIP_Bool  newx, SCIP_ROW *  row, SCIP_Bool *  success  )

static

adds linearization of a constraints expression tree in reference point to a row

Parameters

scip	SCIP data structure
exprint	expression interpreter
cons	constraint
exprtreeidx	for which tree a linearization should be added
x	value of expression tree variables where to generate cut
newx	whether the last evaluation of the expression with the expression interpreter was not at x
row	row where to add linearization
success	buffer to store whether a linearization was succefully added to the row

Definition at line 3836 of file cons_nonlinear.c.

References FALSE, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_OKAY, SCIP_Real, SCIPaddVarsToRow(), SCIPallocBufferArray, SCIPchgRowLhs(), SCIPchgRowRhs(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebug, SCIPdebugMessage, SCIPdebugPrintf, SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfeastol(), SCIPfreeBufferArray, SCIPisEQ(), SCIPisFinite, SCIPisInfinity(), SCIPisZero(), SCIPprintRow(), SCIProwGetLhs(), SCIProwGetRhs(), SCIPvarGetLbGlobal(), SCIPvarGetName(), SCIPvarGetUbGlobal(), and TRUE.

Referenced by generateCut().

static SCIP_RETCODE addConcaveEstimatorUnivariate ( SCIP *  scip, SCIP_CONS *  cons, int  exprtreeidx, SCIP_ROW *  row, SCIP_Bool *  success  )

static

adds secant of a constraints univariate expression tree in reference point to a row

Parameters

scip	SCIP data structure
cons	constraint
exprtreeidx	for which tree a secant should be added
row	row where to add secant
success	buffer to store whether a secant was succefully added to the row

Definition at line 3999 of file cons_nonlinear.c.

References FALSE, NULL, REALABS, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPaddVarsToRow(), SCIPchgRowLhs(), SCIPchgRowRhs(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebug, SCIPdebugMessage, SCIPexprtreeEval(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPisEQ(), SCIPisFeasEQ(), SCIPisFinite, SCIPisInfinity(), SCIPisLE(), SCIPprintRow(), SCIProwGetLhs(), SCIProwGetRhs(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generateCut().

static void getAlphaBetaGammaDelta ( SCIP_Real  a1, SCIP_Real  a2, SCIP_Real  a3, SCIP_Real  b1, SCIP_Real  b2, SCIP_Real  b3, SCIP_Real  c1, SCIP_Real  c2, SCIP_Real  c3, SCIP_Real *  alpha, SCIP_Real *  beta, SCIP_Real *  gamma_, SCIP_Real *  delta  )

static

given three points, constructs coefficient of equation for hyperplane generated by these three points Three points a, b, and c are given. Computes coefficients alpha, beta, gamma, and delta, such that a, b, and c, satisfy alpha * x1 + beta * x2 + gamma * x3 = delta and gamma >= 0.0.

Definition at line 4105 of file cons_nonlinear.c.

References NULL.

Referenced by addConcaveEstimatorBivariate().

static SCIP_RETCODE addConcaveEstimatorBivariate ( SCIP *  scip, SCIP_CONS *  cons, int  exprtreeidx, SCIP_Real *  ref, SCIP_ROW *  row, SCIP_Bool *  success  )

static

adds estimator of a constraints bivariate expression tree to a row a reference point is given to decide which hyperplane to choose

Parameters

scip	SCIP data structure
cons	constraint
exprtreeidx	for which tree a secant should be added
ref	reference values of expression tree variables where to generate cut
row	row where to add secant
success	buffer to store whether a secant was succefully added to the row

Definition at line 4144 of file cons_nonlinear.c.

References FALSE, getAlphaBetaGammaDelta(), MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_OKAY, SCIP_Real, SCIPaddVarsToRow(), SCIPchgRowLhs(), SCIPchgRowRhs(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebug, SCIPdebugMessage, SCIPexprtreeEval(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPisEQ(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisFinite, SCIPisInfinity(), SCIPisNegative(), SCIPisRelEQ(), SCIPisRelLE(), SCIPisZero(), SCIPprintRow(), SCIProwGetLhs(), SCIProwGetRhs(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generateCut().

static SCIP_RETCODE addConcaveEstimatorMultivariate ( SCIP *  scip, SCIP_CONS *  cons, int  exprtreeidx, SCIP_Real *  ref, SCIP_ROW *  row, SCIP_Bool *  success  )

static

adds estimator of a constraints multivariate expression tree to a row Given concave function f(x) and reference point ref. Let (v_i: i=1,...,n) be corner points of current domain of x. Find (coef,constant) such that <coef,v_i> + constant <= f(v_i) (cut validity) and such that <coef, ref> + constant is maximized (cut efficacy). Then <coef, x> + constant <= f(x) for all x in current domain.

Similar to compute an overestimator for a convex function f(x). Find (coef,constant) such that <coef,v_i> + constant >= f(v_i) and such that <coef, ref> + constant is minimized. Then <coef, x> + constant >= f(x) for all x in current domain.

Parameters

scip	SCIP data structure
cons	constraint
exprtreeidx	for which tree a secant should be added
ref	reference values of expression tree variables where to generate cut
row	row where to add secant
success	buffer to store whether a secant was succefully added to the row

Definition at line 4491 of file cons_nonlinear.c.

References BMScopyMemoryArray, FALSE, MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_LPPAR_FEASTOL, SCIP_LPPAR_FROMSCRATCH, SCIP_LPPAR_LOBJLIM, SCIP_LPPAR_LPITLIM, SCIP_LPPAR_SCALING, SCIP_LPPAR_UOBJLIM, SCIP_OBJSEN_MAXIMIZE, SCIP_OBJSEN_MINIMIZE, SCIP_OKAY, SCIP_Real, SCIPaddVarsToRow(), SCIPallocBufferArray, SCIPchgRowLhs(), SCIPchgRowRhs(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebugMessage, SCIPdebugPrintf, SCIPexprtreeEval(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfeastol(), SCIPfreeBufferArray, SCIPgetMessagehdlr(), SCIPisFeasGE(), SCIPisFeasGT(), SCIPisFeasLE(), SCIPisFinite, SCIPisInfinity(), SCIPlpiAddCols(), SCIPlpiAddRows(), SCIPlpiCreate(), SCIPlpiFree(), SCIPlpiGetSol(), SCIPlpiInfinity(), SCIPlpiIsIterlimExc(), SCIPlpiIsObjlimExc(), SCIPlpiIsOptimal(), SCIPlpiIsPrimalFeasible(), SCIPlpiIsPrimalUnbounded(), SCIPlpiSetIntpar(), SCIPlpiSetRealpar(), SCIPlpiSolveDual(), SCIProwGetLhs(), SCIProwGetRhs(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), SCIPwarningMessage(), and TRUE.

Referenced by generateCut().

static SCIP_RETCODE addIntervalGradientEstimator ( SCIP *  scip, SCIP_EXPRINT *  exprint, SCIP_CONS *  cons, int  exprtreeidx, SCIP_Real *  x, SCIP_Bool  newx, SCIP_Bool  overestimate, SCIP_ROW *  row, SCIP_Bool *  success  )

static

adds estimator from interval gradient of a constraints univariate expression tree to a row a reference point is used to decide in which corner to generate the cut

Parameters

scip	SCIP data structure
exprint	expression interpreter
cons	constraint
exprtreeidx	for which tree a secant should be added
x	value of expression tree variables where to generate cut
newx	whether the last evaluation of the expression with the expression interpreter was not at x
overestimate	whether to compute an overestimator instead of an underestimator
row	row where to add secant
success	buffer to store whether a secant was succefully added to the row

Definition at line 4736 of file cons_nonlinear.c.

References FALSE, infty2infty, INTERVALINFTY, MAX, MIN, NULL, SCIP_CALL, SCIP_EXPRINTCAPABILITY_INTGRADIENT, SCIP_OKAY, SCIP_Real, SCIPaddVarsToRow(), SCIPallocBufferArray, SCIPchgRowLhs(), SCIPchgRowRhs(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebugMessage, SCIPexprintCompile(), SCIPexprintEval(), SCIPexprintGetCapability(), SCIPexprintGradInt(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfreeBufferArrayNull, SCIPinfinity(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPintervalMulScalar(), SCIPintervalSetBounds(), SCIPisEQ(), SCIPisFinite, SCIPisInfinity(), SCIPisZero(), SCIProwGetLhs(), SCIProwGetRhs(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generateCut().

static SCIP_RETCODE generateCut ( SCIP *  scip, SCIP_EXPRINT *  exprint, SCIP_CONS *  cons, SCIP_Real **  ref, SCIP_SOL *  sol, SCIP_Bool  newsol, SCIP_SIDETYPE  side, SCIP_ROW **  row, SCIP_Real  maxrange, SCIP_Bool  expensivecurvchecks, SCIP_Bool  assumeconvex  )

static

generates a cut based on linearization (if convex), secant (if concave), or intervalgradient (if indefinite)

Parameters

scip	SCIP data structure
exprint	expression interpreter
cons	constraint
ref	reference point for each exprtree, or NULL if sol should be used
sol	reference solution where cut should be generated, or NULL if LP solution should be used
newsol	whether the last evaluation of the expression with the expression interpreter was not at sol
side	for which side a cut should be generated
row	storage for cut
maxrange	maximal range allowed
expensivecurvchecks	whether also expensive checks should be executed
assumeconvex	whether to assume convexity in inequalities

Definition at line 4898 of file cons_nonlinear.c.

References addConcaveEstimatorBivariate(), addConcaveEstimatorMultivariate(), addConcaveEstimatorUnivariate(), addIntervalGradientEstimator(), addLinearization(), checkCurvature(), FALSE, MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIP_STAGE_SOLVING, SCIPaddVarsToRow(), SCIPaddVarToRow(), SCIPallocBufferArray, SCIPchgRowLhs(), SCIPchgRowRhs(), SCIPcolGetVar(), SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPconsIsLocal(), SCIPcreateEmptyRowCons(), SCIPdebugMessage, SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfreeBufferArray, SCIPgetRowMaxCoef(), SCIPgetRowMinCoef(), SCIPgetSolVal(), SCIPgetSolVals(), SCIPgetStage(), SCIPinfinity(), SCIPisEQ(), SCIPisInfinity(), SCIPreallocBufferArray, SCIPreleaseRow(), SCIProwGetCols(), SCIProwGetLhs(), SCIProwGetNNonz(), SCIProwGetRhs(), SCIProwGetVals(), SCIProwIsLocal(), SCIPsnprintf(), SCIPvarGetLbGlobal(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbGlobal(), SCIPvarGetUbLocal(), and TRUE.

Referenced by addLinearizationCuts(), SCIP_DECL_CONSINITLP(), and separatePoint().

static SCIP_RETCODE separatePoint ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, int  nusefulconss, SCIP_SOL *  sol, SCIP_Bool  newsol, SCIP_Real  minefficacy, SCIP_Bool  inenforcement, SCIP_RESULT *  result, SCIP_Real *  bestefficacy  )

static

tries to separate solution or LP solution by a linear cut

assumes that constraint violations have been computed

Parameters

scip	SCIP data structure
conshdlr	nonlinear constraints handler
conss	constraints
nconss	number of constraints
nusefulconss	number of constraints that seem to be useful
sol	solution to separate, or NULL if LP solution should be used
newsol	have the constraints just been evaluated at this point?
minefficacy	minimal efficacy of a cut if it should be added to the LP
inenforcement	whether we are in constraint enforcement
result	result of separation
bestefficacy	buffer to store best efficacy of a cut that was added to the LP, if found; or NULL if not of interest

Definition at line 5129 of file cons_nonlinear.c.

References FALSE, generateCut(), MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_FEASIBLE, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIP_SEPARATED, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPABORT, SCIPaddCut(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPconsIsEnabled(), SCIPdebug, SCIPdebugMessage, SCIPepsilon(), SCIPerrorMessage, SCIPfeastol(), SCIPgetRelaxFeastolFactor(), SCIPgetRowLPFeasibility(), SCIPgetRowMaxCoef(), SCIPgetRowSolFeasibility(), SCIPisCutApplicable(), SCIPisGT(), SCIPisInfinity(), SCIPmarkRowNotRemovableLocal(), SCIPprintRow(), SCIPreleaseRow(), SCIPresetConsAge(), SCIProwGetLhs(), and SCIProwGetRhs().

Referenced by SCIP_DECL_CONSENFOLP(), SCIP_DECL_CONSSEPALP(), and SCIP_DECL_CONSSEPASOL().

static SCIP_RETCODE addLinearizationCuts ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, SCIP_SOL *  ref, SCIP_Bool *  separatedlpsol, SCIP_Real  minefficacy  )

static

adds linearizations cuts for convex constraints w.r.t. a given reference point to cutpool and sepastore if separatedlpsol is not NULL, then a cut that separates the LP solution is added to the sepastore and is forced to enter the LP if separatedlpsol is not NULL, but cut does not separate the LP solution, then it is added to the cutpool only if separatedlpsol is NULL, then cut is added to cutpool only

Parameters

scip	SCIP data structure
conshdlr	quadratic constraints handler
conss	constraints
nconss	number of constraints
ref	reference point where to linearize, or NULL for LP solution
separatedlpsol	buffer to store whether a cut that separates the current LP solution was found and added to LP, or NULL if adding to cutpool only
minefficacy	minimal efficacy of a cut when checking for separation of LP solution

Definition at line 5287 of file cons_nonlinear.c.

References checkCurvature(), FALSE, generateCut(), MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPABORT, SCIPaddCut(), SCIPaddPoolCut(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPconsIsLocal(), SCIPerrorMessage, SCIPgetRowLPFeasibility(), SCIPgetRowMaxCoef(), SCIPisInfinity(), SCIPreleaseRow(), SCIProwGetLhs(), SCIProwGetRhs(), SCIProwIsLocal(), and TRUE.

Referenced by SCIP_DECL_CONSSEPALP(), and SCIP_DECL_EVENTEXEC().

static SCIP_DECL_EVENTEXEC ( processNewSolutionEvent  )

static

processes the event that a new primal solution has been found

Definition at line 5399 of file cons_nonlinear.c.

References addLinearizationCuts(), NULL, SCIP_CALL, SCIP_EVENTTYPE_SOLFOUND, SCIP_OKAY, SCIPconshdlrGetConss(), SCIPconshdlrGetData(), SCIPconshdlrGetNConss(), SCIPdebugMessage, SCIPeventGetSol(), SCIPeventGetType(), SCIPheurGetName(), and SCIPsolGetHeur().

static SCIP_RETCODE registerBranchingVariables ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, int *  nnotify  )

static

registers unfixed variables in nonlinear terms of violated constraints as external branching candidates

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints to check
nconss	number of constraints to check
nnotify	counter for number of notifications performed

Definition at line 5446 of file cons_nonlinear.c.

References MAX, NULL, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_INVALID, SCIP_OKAY, SCIPaddExternBranchCand(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebugMessage, SCIPexprcurvGetName(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfeastol(), SCIPisGT(), SCIPisRelEQ(), SCIPvarGetLbLocal(), SCIPvarGetName(), and SCIPvarGetUbLocal().

Referenced by SCIP_DECL_CONSENFOLP().

static SCIP_RETCODE registerLargeLPValueVariableForBranching ( SCIP *  scip, SCIP_CONS **  conss, int  nconss, SCIP_VAR **  brvar  )

static

registers a nonlinear variable from a violated constraint as branching candidate that has a large absolute value in the LP relaxation

Parameters

scip	SCIP data structure
conss	constraints
nconss	number of constraints
brvar	buffer to store branching variable

Definition at line 5512 of file cons_nonlinear.c.

References NULL, REALABS, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPaddExternBranchCand(), SCIPconsGetData(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfeastol(), SCIPgetSolVal(), SCIPisEQ(), SCIPisGT(), SCIPvarGetLbLocal(), and SCIPvarGetUbLocal().

Referenced by SCIP_DECL_CONSENFOLP().

static SCIP_RETCODE replaceViolatedByLinearConstraints ( SCIP *  scip, SCIP_CONS **  conss, int  nconss, SCIP_Bool *  addedcons, SCIP_Bool *  reduceddom, SCIP_Bool *  infeasible  )

static

replaces violated nonlinear constraints where all nonlinear variables are fixed by linear constraints only adds constraint if it is violated in current solution

Parameters

scip	SCIP data structure
conss	constraints
nconss	number of constraints
addedcons	buffer to store whether a linear constraint was added
reduceddom	whether a domain has been reduced
infeasible	whether we detected infeasibility

Definition at line 5572 of file cons_nonlinear.c.

References FALSE, INTERVALINFTY, NULL, SCIP_Bool, SCIP_CALL, SCIP_INFEASIBLE, SCIP_OKAY, SCIP_Real, SCIPaddConsLocal(), SCIPcheckCons(), SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsLinear(), SCIPdebugMessage, SCIPdebugPrintCons, SCIPdelConsLocal(), SCIPevalExprtreeLocalBounds(), SCIPfeastol(), SCIPinfinity(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPintervalMulScalar(), SCIPisFeasLE(), SCIPisGT(), SCIPisInfinity(), SCIPisZero(), SCIPreleaseCons(), SCIPtightenVarLb(), SCIPtightenVarUb(), SCIPvarGetName(), and TRUE.

Referenced by SCIP_DECL_CONSENFOLP().

static SCIP_RETCODE propagateBoundsTightenVarLb ( SCIP *  scip, SCIP_CONS *  cons, SCIP_VAR *  var, SCIP_Real  bnd, SCIP_RESULT *  result, int *  nchgbds  )

static

Parameters

scip	SCIP data structure
cons	constraint where we currently propagate, or NULL if tightening is from expression graph
var	variable which domain we might reduce
bnd	new lower bound for variable
result	result to update if there was a tightening or cutoff
nchgbds	counter to increase if a bound was tightened

Definition at line 5731 of file cons_nonlinear.c.

References FALSE, INTERVALINFTY, NULL, SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_OKAY, SCIP_REDUCEDDOM, SCIPadjustedVarLb(), SCIPconsGetName(), SCIPdebugMessage, SCIPinProbing(), SCIPisInfinity(), SCIPresetConsAge(), SCIPtightenVarLb(), and SCIPvarGetName().

Referenced by propagateBoundsCons(), and propagateConstraintSides().

static SCIP_RETCODE propagateBoundsTightenVarUb ( SCIP *  scip, SCIP_CONS *  cons, SCIP_VAR *  var, SCIP_Real  bnd, SCIP_RESULT *  result, int *  nchgbds  )

static

Parameters

scip	SCIP data structure
cons	constraint where we currently propagate, or NULL if tightening is from expression graph
var	variable which domain we might reduce
bnd	new upper bound for variable
result	result to update if there was a tightening or cutoff
nchgbds	counter to increase if a bound was tightened

Definition at line 5792 of file cons_nonlinear.c.

References FALSE, INTERVALINFTY, NULL, SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_OKAY, SCIP_REDUCEDDOM, SCIPadjustedVarUb(), SCIPconsGetName(), SCIPdebugMessage, SCIPinProbing(), SCIPisInfinity(), SCIPresetConsAge(), SCIPtightenVarUb(), and SCIPvarGetName().

Referenced by propagateBoundsCons(), and propagateConstraintSides().

static SCIP_RETCODE propagateBoundsCons ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, SCIP_RESULT *  result, int *  nchgbds, SCIP_Bool *  redundant  )

static

tightens bounds of linear variables in a single nonlinear constraint

Parameters

scip	SCIP data structure
conshdlr	constraint handler
cons	constraint to process
result	pointer to store the result of the propagation call
nchgbds	buffer where to add the the number of changed bounds
redundant	buffer where to store whether constraint has been found to be redundant

Definition at line 5853 of file cons_nonlinear.c.

References consdataUpdateLinearActivity(), FALSE, infty2infty, INTERVALINFTY, MAX, NULL, propagateBoundsTightenVarLb(), propagateBoundsTightenVarUb(), SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_DIDNOTRUN, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPconsGetName(), SCIPdebugMessage, SCIPexprgraphGetNodeBounds(), SCIPfeastol(), SCIPinfinity(), SCIPintervalAdd(), SCIPintervalAreDisjoint(), SCIPintervalGetInf(), SCIPintervalGetRoundingMode(), SCIPintervalGetSup(), SCIPintervalIsEmpty(), SCIPintervalIsEntire(), SCIPintervalIsSubsetEQ(), SCIPintervalSet(), SCIPintervalSetBounds(), SCIPintervalSetRoundingMode(), SCIPintervalSetRoundingModeDownwards(), SCIPintervalSetRoundingModeUpwards(), SCIPintervalSub(), SCIPisEQ(), SCIPisInfinity(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), and TRUE.

Referenced by propagateBounds().

static SCIP_RETCODE propagateConstraintSides ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, SCIP_RESULT *  result, int *  nchgbds  )

static

propagate constraints sides minus linear activity into nonlinear variables

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints to process
nconss	number of constraints
result	pointer to store the result of the propagation calls
nchgbds	buffer where to add the number of changed bounds

Definition at line 6114 of file cons_nonlinear.c.

References BOUNDTIGHTENING_MINSTRENGTH, FALSE, SCIP_Interval::inf, INTERVALINFTY, NULL, propagateBoundsTightenVarLb(), propagateBoundsTightenVarUb(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsDeleted(), SCIPconsIsEnabled(), SCIPdebugMessage, SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNVars(), SCIPexprgraphGetVarNodes(), SCIPexprgraphGetVars(), SCIPexprgraphPrintDot(), SCIPexprgraphPropagateNodeBounds(), SCIPexprgraphTightenNodeBounds(), SCIPfeastol(), SCIPgetMessagehdlr(), SCIPinProbing(), SCIPintervalGetInf(), SCIPintervalGetRoundingMode(), SCIPintervalGetSup(), SCIPintervalNegateReal(), SCIPintervalSetRoundingMode(), SCIPintervalSetRoundingModeDownwards(), SCIPisInfinity(), and SCIP_Interval::sup.

Referenced by propagateBounds().

static SCIP_RETCODE propagateBounds ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, SCIP_RESULT *  result, int *  nchgbds, int *  ndelconss  )

static

calls domain propagation for a set of constraints

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints to process
nconss	number of constraints
result	pointer to store the result of the propagation calls
nchgbds	buffer where to add the the number of changed bounds
ndelconss	buffer where to increase if a constraint was deleted (locally) due to redundancy

Definition at line 6246 of file cons_nonlinear.c.

References FALSE, INTERVALINFTY, NULL, propagateBoundsCons(), propagateConstraintSides(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_DIDNOTRUN, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPconsIsDeleted(), SCIPconsIsEnabled(), SCIPdebugMessage, SCIPdelConsLocal(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphPrintDot(), SCIPexprgraphPropagateVarBounds(), SCIPgetMessagehdlr(), SCIPintervalIsEmpty(), and TRUE.

Referenced by SCIP_DECL_CONSENFOLP(), SCIP_DECL_CONSENFOPS(), SCIP_DECL_CONSPRESOL(), and SCIP_DECL_CONSPROP().

static void consdataFindUnlockedLinearVar ( SCIP *  scip, SCIP_CONSDATA *  consdata  )

static

Parameters

scip	SCIP data structure
consdata	constraint data

Definition at line 6368 of file cons_nonlinear.c.

References SCIPdebugMessage, SCIPisInfinity(), SCIPvarGetName(), SCIPvarGetNLocksDown(), and SCIPvarGetObj().

Referenced by SCIP_DECL_CONSCHECK(), and SCIP_DECL_CONSINITSOL().

static SCIP_RETCODE proposeFeasibleSolution ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, SCIP_SOL *  sol, SCIP_Bool *  success  )

static

Given a solution where every nonlinear constraint is either feasible or can be made feasible by moving a linear variable, construct the corresponding feasible solution and pass it to the trysol heuristic. The method assumes that this is always possible and that not all constraints are feasible already.

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints to process
nconss	number of constraints
sol	solution to process
success	buffer to store whether we succeeded to construct a solution that satisfies all provided constraints

Definition at line 6433 of file cons_nonlinear.c.

References computeViolation(), FALSE, MAX, MIN, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPceil(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPcreateLPSol(), SCIPcreateSolCopy(), SCIPdebugMessage, SCIPfeastol(), SCIPfloor(), SCIPfreeSol(), SCIPgetSolTransObj(), SCIPgetSolVal(), SCIPgetUpperbound(), SCIPheurPassSolTrySol(), SCIPincSolVal(), SCIPisGT(), SCIPisInfinity(), SCIPisNegative(), SCIPisPositive(), SCIPisSumLT(), SCIPisZero(), SCIPunlinkSol(), SCIPvarGetLbGlobal(), SCIPvarGetName(), SCIPvarGetUbGlobal(), SCIPvarIsIntegral(), and TRUE.

Referenced by SCIP_DECL_CONSCHECK().

static SCIP_DECL_CONSHDLRCOPY ( conshdlrCopyNonlinear  )

static

copy method for constraint handler plugins (called when SCIP copies plugins)

Definition at line 6580 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPincludeConshdlrNonlinear(), and TRUE.

static SCIP_DECL_CONSFREE ( consFreeNonlinear  )

static

destructor of constraint handler to free constraint handler data (called when SCIP is exiting)

Definition at line 6596 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPconshdlrGetData(), SCIPexprgraphFree(), SCIPexprgraphGetNVars(), SCIPexprintFree(), SCIPfreeMemory, and SCIPfreeMemoryArrayNull.

static SCIP_DECL_CONSINIT ( consInitNonlinear  )

static

initialization method of constraint handler (called after problem was transformed)

Definition at line 6631 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPconshdlrGetData(), SCIPexprgraphPrintDot(), SCIPfindHeur(), and SCIPgetMessagehdlr().

static SCIP_DECL_CONSEXIT ( consExitNonlinear  )

static

deinitialization method of constraint handler (called before transformed problem is freed)

Definition at line 6664 of file cons_nonlinear.c.

References NULL, SCIP_OKAY, and SCIPconshdlrGetData().

static SCIP_DECL_CONSINITPRE ( consInitpreNonlinear  )

static

presolving initialization method of constraint handler (called when presolving is about to begin)

Definition at line 6683 of file cons_nonlinear.c.

References consdataSetExprtrees(), FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), and SCIPconsIsActive().

static SCIP_DECL_CONSEXITPRE ( consExitpreNonlinear  )

static

presolving deinitialization method of constraint handler (called after presolving has been finished)

Definition at line 6712 of file cons_nonlinear.c.

References consdataSetExprtrees(), FALSE, mergeAndCleanLinearVars(), NULL, removeFixedLinearVariables(), removeFixedNonlinearVariables(), SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPallocBufferArray, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPconsIsAdded(), SCIPdebugMessage, SCIPenableNLP(), SCIPepsilon(), SCIPexprgraphGetSumTrees(), SCIPexprgraphGetSumTreesNSummands(), SCIPexprgraphSimplify(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfreeBufferArray, SCIPgetMessagehdlr(), SCIPvarIsActive(), splitOffLinearPart(), and TRUE.

static SCIP_DECL_CONSINITSOL ( consInitsolNonlinear  )

static

solving process initialization method of constraint handler (called when branch and bound process is about to begin)

Definition at line 6817 of file cons_nonlinear.c.

References consdataFindUnlockedLinearVar(), CONSHDLR_NAME, createNlRow(), FALSE, MAX, MIN, NULL, REALABS, SCIP_CALL, SCIP_EVENTTYPE_SOLFOUND, SCIP_OKAY, SCIPaddNlRow(), SCIPcatchEvent(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPconsIsEnabled(), SCIPfindEventhdlr(), SCIPinfinity(), and SCIPisNLPConstructed().

static SCIP_DECL_CONSEXITSOL ( consExitsolNonlinear  )

static

solving process deinitialization method of constraint handler (called before branch and bound process data is freed)

Definition at line 6882 of file cons_nonlinear.c.

References CONSHDLR_NAME, NULL, SCIP_CALL, SCIP_EVENTTYPE_SOLFOUND, SCIP_OKAY, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPdropEvent(), SCIPfindEventhdlr(), and SCIPreleaseNlRow().

static SCIP_DECL_CONSDELETE ( consDeleteNonlinear  )

static

frees specific constraint data

Definition at line 6924 of file cons_nonlinear.c.

References consdataFree(), NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsActive(), and SCIPdebugMessage.

static SCIP_DECL_CONSTRANS ( consTransNonlinear  )

static

transforms constraint data into data belonging to the transformed problem

Definition at line 6947 of file cons_nonlinear.c.

References BMScopyMemoryArray, consdataCreate(), FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPcaptureVar(), SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateCons(), SCIPdebugMessage, SCIPdebugPrintCons, SCIPgetExprtreeTransformedVars(), SCIPgetTransformedVar(), and TRUE.

static SCIP_DECL_CONSINITLP ( consInitlpNonlinear  )

static

LP initialization method of constraint handler (called before the initial LP relaxation at a node is solved)

Definition at line 6996 of file cons_nonlinear.c.

References checkCurvature(), FALSE, generateCut(), INITLPMAXVARVAL, MAX, MIN, NULL, SCIP_Bool, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_OKAY, SCIP_Real, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPaddCut(), SCIPaddVarsToRow(), SCIPallocBufferArray, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsLocal(), SCIPcreateEmptyRowCons(), SCIPdebug, SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfreeBufferArray, SCIPisInfinity(), SCIPprintRow(), SCIPreleaseRow(), SCIPvarGetLbGlobal(), SCIPvarGetUbGlobal(), and TRUE.

static SCIP_DECL_CONSSEPALP ( consSepalpNonlinear  )

static

separation method of constraint handler for LP solutions

Definition at line 7126 of file cons_nonlinear.c.

References addLinearizationCuts(), checkCurvature(), computeViolations(), FALSE, NULL, SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_LPSOLSTAT_OPTIMAL, SCIP_LPSOLSTAT_UNBOUNDEDRAY, SCIP_NLPSOLSTAT_FEASIBLE, SCIP_NLPSOLSTAT_GLOBINFEASIBLE, SCIP_NLPSOLSTAT_UNKNOWN, SCIP_OKAY, SCIP_SEPARATED, SCIPaddLinearConsToNlpHeurSubNlp(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPcreateNLPSol(), SCIPdebugMessage, SCIPfeastol(), SCIPfreeSol(), SCIPgetDepth(), SCIPgetLPSolstat(), SCIPgetNBinVars(), SCIPgetNContVars(), SCIPgetNIntVars(), SCIPgetNLPFracVars(), SCIPgetNLPSolstat(), SCIPgetNNlpis(), SCIPgetNVars(), SCIPheurPassSolTrySol(), SCIPisGT(), SCIPisNLPConstructed(), SCIPsetNLPInitialGuessSol(), SCIPsolveNLP(), separatePoint(), and TRUE.

static SCIP_DECL_CONSSEPASOL ( consSepasolNonlinear  )

static

separation method of constraint handler for arbitrary primal solutions

Definition at line 7275 of file cons_nonlinear.c.

References computeViolations(), FALSE, NULL, SCIP_CALL, SCIP_DIDNOTFIND, SCIP_OKAY, SCIPconshdlrGetData(), and separatePoint().

static SCIP_DECL_CONSENFOLP ( consEnfolpNonlinear  )

static

constraint enforcing method of constraint handler for LP solutions

Definition at line 7302 of file cons_nonlinear.c.

References computeViolations(), FALSE, MAX, MIN, NULL, propagateBounds(), registerBranchingVariables(), registerLargeLPValueVariableForBranching(), replaceViolatedByLinearConstraints(), SCIP_Bool, SCIP_BRANCHED, SCIP_CALL, SCIP_CONSADDED, SCIP_CUTOFF, SCIP_FEASIBLE, SCIP_INFEASIBLE, SCIP_OKAY, SCIP_Real, SCIP_REDUCEDDOM, SCIP_SEPARATED, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPcreateChild(), SCIPdebugMessage, SCIPepsilon(), SCIPfeastol(), SCIPgetCurrentNode(), SCIPgetRelaxFeastolFactor(), SCIPgetSolVal(), SCIPisGT(), SCIPisInfinity(), SCIPisStopped(), SCIPnodeGetEstimate(), SCIPvarGetName(), SCIPwarningMessage(), separatePoint(), and TRUE.

static SCIP_DECL_CONSENFOPS ( consEnfopsNonlinear  )

static

constraint enforcing method of constraint handler for pseudo solutions

Definition at line 7474 of file cons_nonlinear.c.

References computeViolations(), MAX, NULL, propagateBounds(), SCIP_CALL, SCIP_CUTOFF, SCIP_FEASIBLE, SCIP_INFEASIBLE, SCIP_INVALID, SCIP_OKAY, SCIP_REDUCEDDOM, SCIP_SOLVELP, SCIPaddExternBranchCand(), SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsActive(), SCIPdebugMessage, SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfeastol(), SCIPisGT(), SCIPisRelEQ(), SCIPvarGetLbLocal(), and SCIPvarGetUbLocal().

static SCIP_DECL_CONSCHECK ( consCheckNonlinear  )

static

feasibility check method of constraint handler for integral solutions

Definition at line 7561 of file cons_nonlinear.c.

References computeViolation(), consdataFindUnlockedLinearVar(), FALSE, MAX, NULL, proposeFeasibleSolution(), REALABS, SCIP_Bool, SCIP_CALL, SCIP_FEASIBLE, SCIP_INFEASIBLE, SCIP_OKAY, SCIP_Real, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIP_STAGE_SOLVING, SCIP_STAGE_TRANSFORMED, SCIPallocBufferArray, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPexprgraphEval(), SCIPexprgraphGetNVars(), SCIPexprgraphGetVars(), SCIPfeastol(), SCIPfreeBufferArray, SCIPgetSolVals(), SCIPgetStage(), SCIPinfoMessage(), SCIPisGT(), SCIPisInfinity(), SCIPprintCons(), and SCIPupdateStartpointHeurSubNlp().

static SCIP_DECL_CONSPROP ( consPropNonlinear  )

static

domain propagation method of constraint handler

Definition at line 7688 of file cons_nonlinear.c.

References NULL, propagateBounds(), SCIP_CALL, and SCIP_OKAY.

static SCIP_DECL_CONSPRESOL ( consPresolNonlinear  )

static

presolving method of constraint handler

Definition at line 7705 of file cons_nonlinear.c.

References FALSE, INTERVALINFTY, NULL, presolveUpgrade(), propagateBounds(), reformulate(), removeFixedLinearVariables(), removeFixedNonlinearVariables(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DELAYED, SCIP_DIDNOTFIND, SCIP_DIDNOTRUN, SCIP_OKAY, SCIP_REDUCEDDOM, SCIP_SUCCESS, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPdebugMessage, SCIPdebugPrintCons, SCIPdelCons(), SCIPepsilon(), SCIPexprgraphPropagateVarBounds(), SCIPexprgraphSimplify(), SCIPgetMessagehdlr(), SCIPisFeasNegative(), SCIPisFeasPositive(), SCIPisInfinity(), SCIPisPresolveFinished(), splitOffLinearPart(), and TRUE.

static SCIP_DECL_CONSLOCK ( consLockNonlinear  )

static

variable rounding lock method of constraint handler

Definition at line 7891 of file cons_nonlinear.c.

References NULL, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIPaddVarLocks(), SCIPconsGetData(), SCIPconsIsActive(), SCIPconsIsDeleted(), and SCIPisInfinity().

static SCIP_DECL_CONSACTIVE ( consActiveNonlinear  )

static

constraint activation notification method of constraint handler

Definition at line 7943 of file cons_nonlinear.c.

References consdataSetExprtrees(), FALSE, NULL, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsTransformed(), SCIPdebugMessage, SCIPexprgraphAddExprtreeSum(), SCIPgetStage(), and TRUE.

static SCIP_DECL_CONSDEACTIVE ( consDeactiveNonlinear  )

static

constraint deactivation notification method of constraint handler

Definition at line 8003 of file cons_nonlinear.c.

References consdataSetExprtrees(), FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_FREETRANS, SCIP_STAGE_PRESOLVING, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsTransformed(), SCIPdebugMessage, SCIPexprgraphGetTree(), SCIPexprgraphReleaseNode(), and SCIPgetStage().

static SCIP_DECL_CONSENABLE ( consEnableNonlinear  )

static

constraint enabling notification method of constraint handler

Definition at line 8046 of file cons_nonlinear.c.

References catchLinearVarEvents(), NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPconsIsTransformed(), SCIPdebugMessage, SCIPexprgraphEnableNode(), SCIPvarIsActive(), and TRUE.

static SCIP_DECL_CONSDISABLE ( consDisableNonlinear  )

static

constraint disabling notification method of constraint handler

Definition at line 8087 of file cons_nonlinear.c.

References dropLinearVarEvents(), NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsTransformed(), SCIPdebugMessage, and SCIPexprgraphDisableNode().

static SCIP_DECL_CONSPRINT ( consPrintNonlinear  )

static

constraint display method of constraint handler

Definition at line 8125 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIP_VARTYPE_BINARY, SCIP_VARTYPE_IMPLINT, SCIP_VARTYPE_INTEGER, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPexprgraphGetTree(), SCIPexprtreeFree(), SCIPexprtreePrintWithNames(), SCIPgetMessagehdlr(), SCIPinfoMessage(), SCIPisEQ(), SCIPisInfinity(), SCIPvarGetName(), and SCIPvarGetType().

static SCIP_DECL_CONSCOPY ( consCopyNonlinear  )

static

constraint copying method of constraint handler

Definition at line 8204 of file cons_nonlinear.c.

References BMSclearMemoryArray, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPallocBufferArray, SCIPblkmem(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPcreateConsNonlinear(), SCIPexprgraphGetTree(), SCIPexprtreeCopy(), SCIPexprtreeFree(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPexprtreeSetVars(), SCIPfreeBufferArray, SCIPfreeBufferArrayNull, SCIPgetVarCopy(), SCIPreallocBufferArray, and TRUE.

static SCIP_DECL_CONSGETVARS ( consGetVarsNonlinear  )

static

constraint method of constraint handler which returns the variables (if possible)

Definition at line 8328 of file cons_nonlinear.c.

References BMScopyMemoryArray, FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPallocBufferArray, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPexprgraphGetNVars(), SCIPexprgraphGetSubtreeVarsUsage(), SCIPexprgraphGetVars(), SCIPexprtreeGetNVars(), SCIPexprtreeGetVars(), SCIPfreeBufferArray, and TRUE.

static SCIP_DECL_CONSGETNVARS ( consGetNVarsNonlinear  )

static

constraint method of constraint handler which returns the number of variables (if possible)

Definition at line 8407 of file cons_nonlinear.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPallocBufferArray, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPexprgraphGetNVars(), SCIPexprgraphGetSubtreeVarsUsage(), SCIPexprtreeGetNVars(), SCIPfreeBufferArray, and TRUE.

static SCIP_DECL_CONSPARSE ( consParseNonlinear  )

static

constraint parsing method of constraint handler

Definition at line 8450 of file cons_nonlinear.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIP_READERROR, SCIP_Real, SCIPallocBufferArray, SCIPblkmem(), SCIPcreateConsNonlinear(), SCIPdebugMessage, SCIPdebugPrintCons, SCIPerrorMessage, SCIPexprParse(), SCIPexprtreeCreate(), SCIPexprtreeFree(), SCIPexprtreeSetVars(), SCIPfindVar(), SCIPfreeBufferArray, SCIPgetMessagehdlr(), SCIPinfinity(), SCIPisInfinity(), SCIPstrToRealValue(), and TRUE.

SCIP_RETCODE SCIPincludeConshdlrNonlinear

(

SCIP *

scip

)

creates the handler for nonlinear constraints and includes it in SCIP

Parameters

scip	SCIP data structure

Definition at line 8639 of file cons_nonlinear.c.

References BMSclearMemory, CONSHDLR_CHECKPRIORITY, CONSHDLR_DELAYPRESOL, CONSHDLR_DELAYPROP, CONSHDLR_DELAYSEPA, CONSHDLR_DESC, CONSHDLR_EAGERFREQ, CONSHDLR_ENFOPRIORITY, CONSHDLR_MAXPREROUNDS, CONSHDLR_NAME, CONSHDLR_NEEDSCONS, CONSHDLR_PROP_TIMING, CONSHDLR_PROPFREQ, CONSHDLR_SEPAFREQ, CONSHDLR_SEPAPRIORITY, FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPaddBoolParam(), SCIPaddCharParam(), SCIPaddIntParam(), SCIPaddRealParam(), SCIPallocMemory, SCIPblkmem(), SCIPexprgraphCreate(), SCIPexprintCreate(), SCIPincludeConshdlrBasic(), SCIPincludeEventhdlrBasic(), SCIPinfinity(), SCIPsetConshdlrActive(), SCIPsetConshdlrCopy(), SCIPsetConshdlrDeactive(), SCIPsetConshdlrDelete(), SCIPsetConshdlrDisable(), SCIPsetConshdlrEnable(), SCIPsetConshdlrExit(), SCIPsetConshdlrExitpre(), SCIPsetConshdlrExitsol(), SCIPsetConshdlrFree(), SCIPsetConshdlrGetNVars(), SCIPsetConshdlrGetVars(), SCIPsetConshdlrInit(), SCIPsetConshdlrInitlp(), SCIPsetConshdlrInitpre(), SCIPsetConshdlrInitsol(), SCIPsetConshdlrParse(), SCIPsetConshdlrPresol(), SCIPsetConshdlrPrint(), SCIPsetConshdlrProp(), SCIPsetConshdlrSepa(), SCIPsetConshdlrTrans(), and TRUE.

Referenced by SCIP_DECL_CONSHDLRCOPY(), and SCIPincludeDefaultPlugins().

SCIP_RETCODE SCIPincludeNonlinconsUpgrade	(	SCIP *	scip,
		SCIP_DECL_NONLINCONSUPGD((*nonlinconsupgd))	,
		SCIP_DECL_EXPRGRAPHNODEREFORM((*nodereform))	,
		int	priority,
		SCIP_Bool	active,
		const char *	conshdlrname
	)

includes a nonlinear constraint upgrade method into the nonlinear constraint handler

Parameters

scip	SCIP data structure
priority	priority of upgrading method
active	should the upgrading method by active by default?
conshdlrname	name of the constraint handler

Definition at line 8762 of file cons_nonlinear.c.

References SCIP_NlConsUpgrade::active, CONSHDLR_NAME, FALSE, NULL, paramname, SCIP_NlConsUpgrade::priority, SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_PLUGINNOTFOUND, SCIPaddBoolParam(), SCIPallocMemory, SCIPcalcMemGrowSize(), SCIPconshdlrGetData(), SCIPerrorMessage, SCIPfindConshdlr(), SCIPreallocMemoryArray, SCIPsnprintf(), and SCIPwarningMessage().

Referenced by SCIPincludeConshdlrAbspower(), SCIPincludeConshdlrAnd(), SCIPincludeConshdlrBivariate(), SCIPincludeConshdlrLinear(), and SCIPincludeConshdlrQuadratic().

SCIP_RETCODE SCIPcreateConsNonlinear	(	SCIP *	scip,
		SCIP_CONS **	cons,
		const char *	name,
		int	nlinvars,
		SCIP_VAR **	linvars,
		SCIP_Real *	lincoefs,
		int	nexprtrees,
		SCIP_EXPRTREE **	exprtrees,
		SCIP_Real *	nonlincoefs,
		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
	)

creates and captures a nonlinear constraint this variant takes expression trees as input

Note

the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()

Parameters

scip	SCIP data structure
cons	pointer to hold the created constraint
name	name of constraint
nlinvars	number of linear variables in the constraint
linvars	array with linear variables of constraint entries
lincoefs	array with coefficients of constraint linear entries
nexprtrees	number of expression trees for nonlinear part of constraint
exprtrees	expression trees for nonlinear part of constraint
nonlincoefs	coefficients for expression trees for nonlinear part, or NULL if all 1.0
lhs	left hand side of constraint
rhs	right hand side of constraint
initial	should the LP relaxation of constraint be in the initial LP? Usually set to TRUE. Set to FALSE for 'lazy constraints'.
separate	should the constraint be separated during LP processing? Usually set to TRUE.
enforce	should the constraint be enforced during node processing? TRUE for model constraints, FALSE for additional, redundant constraints.
check	should the constraint be checked for feasibility? TRUE for model constraints, FALSE for additional, redundant constraints.
propagate	should the constraint be propagated during node processing? Usually set to TRUE.
local	is constraint only valid locally? Usually set to FALSE. Has to be set to TRUE, e.g., for branching constraints.
modifiable	is constraint modifiable (subject to column generation)? Usually set to FALSE. In column generation applications, set to TRUE if pricing adds coefficients to this constraint.
dynamic	is constraint subject to aging? Usually set to FALSE. Set to TRUE for own cuts which are seperated as constraints.
removable	should the relaxation be removed from the LP due to aging or cleanup? Usually set to FALSE. Set to TRUE for 'lazy constraints' and 'user cuts'.
stickingatnode	should the constraint always be kept at the node where it was added, even if it may be moved to a more global node? Usually set to FALSE. Set to TRUE to for constraints that represent node data.

Definition at line 8847 of file cons_nonlinear.c.

References addLinearCoef(), consdataCreateEmpty(), consdataEnsureLinearVarsSize(), consdataSetExprtrees(), CONSHDLR_NAME, FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIP_PLUGINNOTFOUND, SCIPcreateCons(), SCIPdebugMessage, SCIPdebugPrintCons, SCIPerrorMessage, SCIPfindConshdlr(), SCIPisZero(), and TRUE.

Referenced by readConstraints(), readNonlinearExprs(), readObjective(), removeFixedVariables(), SCIP_DECL_CONSCOPY(), SCIP_DECL_CONSPARSE(), and SCIPcreateConsBasicNonlinear().

SCIP_RETCODE SCIPcreateConsBasicNonlinear	(	SCIP *	scip,
		SCIP_CONS **	cons,
		const char *	name,
		int	nlinvars,
		SCIP_VAR **	linvars,
		SCIP_Real *	lincoefs,
		int	nexprtrees,
		SCIP_EXPRTREE **	exprtrees,
		SCIP_Real *	nonlincoefs,
		SCIP_Real	lhs,
		SCIP_Real	rhs
	)

creates and captures a nonlinear constraint in its most basic version, i. e., all constraint flags are set to their basic value as explained for the method SCIPcreateConsNonlinear(); all flags can be set via SCIPsetConsFLAGNAME-methods in scip.h

this variant takes expression trees as input

See Also

SCIPcreateConsNonlinear() for information about the basic constraint flag configuration

Note

the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()

Parameters

scip	SCIP data structure
cons	pointer to hold the created constraint
name	name of constraint
nlinvars	number of linear variables in the constraint
linvars	array with linear variables of constraint entries
lincoefs	array with coefficients of constraint linear entries
nexprtrees	number of expression trees for nonlinear part of constraint
exprtrees	expression trees for nonlinear part of constraint
nonlincoefs	coefficients for expression trees for nonlinear part, or NULL if all 1.0
lhs	left hand side of constraint
rhs	right hand side of constraint

Definition at line 8940 of file cons_nonlinear.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPcreateConsNonlinear(), and TRUE.

SCIP_RETCODE SCIPcreateConsNonlinear2	(	SCIP *	scip,
		SCIP_CONS **	cons,
		const char *	name,
		int	nlinvars,
		SCIP_VAR **	linvars,
		SCIP_Real *	lincoefs,
		SCIP_EXPRGRAPHNODE *	exprgraphnode,
		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
	)

creates and captures a nonlinear constraint this variant takes a node of the expression graph as input and can only be used during presolving it is assumed that the nonlinear constraint will be added to the transformed problem short after creation the given exprgraphnode is captured in this method

Note

the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()

Parameters

scip	SCIP data structure
cons	pointer to hold the created constraint
name	name of constraint
nlinvars	number of linear variables in the constraint
linvars	array with linear variables of constraint entries
lincoefs	array with coefficients of constraint linear entries
exprgraphnode	expression graph node associated to nonlinear expression
lhs	left hand side of constraint
rhs	right hand side of constraint
initial	should the LP relaxation of constraint be in the initial LP? Usually set to TRUE. Set to FALSE for 'lazy constraints'.
separate	should the constraint be separated during LP processing? Usually set to TRUE.
enforce	should the constraint be enforced during node processing? TRUE for model constraints, FALSE for additional, redundant constraints.
check	should the constraint be checked for feasibility? TRUE for model constraints, FALSE for additional, redundant constraints.
propagate	should the constraint be propagated during node processing? Usually set to TRUE.
local	is constraint only valid locally? Usually set to FALSE. Has to be set to TRUE, e.g., for branching constraints.
modifiable	is constraint modifiable (subject to column generation)? Usually set to FALSE. In column generation applications, set to TRUE if pricing adds coefficients to this constraint.
dynamic	is constraint subject to aging? Usually set to FALSE. Set to TRUE for own cuts which are seperated as constraints.
removable	should the relaxation be removed from the LP due to aging or cleanup? Usually set to FALSE. Set to TRUE for 'lazy constraints' and 'user cuts'.
stickingatnode	should the constraint always be kept at the node where it was added, even if it may be moved to a more global node? Usually set to FALSE. Set to TRUE to for constraints that represent node data.

Definition at line 8970 of file cons_nonlinear.c.

References addLinearCoef(), consdataCreateEmpty(), consdataEnsureLinearVarsSize(), CONSHDLR_NAME, FALSE, NULL, SCIP_CALL, SCIP_EXPRCURV_UNKNOWN, SCIP_INVALID, SCIP_OKAY, SCIP_PLUGINNOTFOUND, SCIP_STAGE_PRESOLVING, SCIPcreateCons(), SCIPdebugMessage, SCIPdebugPrintCons, SCIPerrorMessage, SCIPexprgraphCaptureNode(), SCIPfindConshdlr(), SCIPgetStage(), and SCIPisZero().

Referenced by reformMonomial(), reformNode2Var(), reformulate(), SCIP_DECL_EXPRGRAPHNODEREFORM(), SCIP_DECL_NONLINCONSUPGD(), and SCIPcreateConsBasicNonlinear2().

SCIP_RETCODE SCIPcreateConsBasicNonlinear2	(	SCIP *	scip,
		SCIP_CONS **	cons,
		const char *	name,
		int	nlinvars,
		SCIP_VAR **	linvars,
		SCIP_Real *	lincoefs,
		SCIP_EXPRGRAPHNODE *	exprgraphnode,
		SCIP_Real	lhs,
		SCIP_Real	rhs
	)

creates and captures a nonlinear constraint in its most basic version, i. e., all constraint flags are set to their basic value as explained for the method SCIPcreateConsNonlinear(); all flags can be set via SCIPsetConsFLAGNAME-methods in scip.h

this variant takes a node of the expression graph as input and can only be used during presolving it is assumed that the nonlinear constraint will be added to the transformed problem short after creation the given exprgraphnode is captured in this method

See Also

SCIPcreateConsNonlinear() for information about the basic constraint flag configuration

Note

the constraint gets captured, hence at one point you have to release it using the method SCIPreleaseCons()

Parameters

scip	SCIP data structure
cons	pointer to hold the created constraint
name	name of constraint
nlinvars	number of linear variables in the constraint
linvars	array with linear variables of constraint entries
lincoefs	array with coefficients of constraint linear entries
exprgraphnode	expression graph node associated to nonlinear expression
lhs	left hand side of constraint
rhs	right hand side of constraint

Definition at line 9068 of file cons_nonlinear.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPcreateConsNonlinear2(), and TRUE.

SCIP_RETCODE SCIPaddLinearVarNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons,
		SCIP_VAR *	var,
		SCIP_Real	coef
	)

adds a linear variable with coefficient to a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint
var	variable
coef	coefficient of variable

Definition at line 9089 of file cons_nonlinear.c.

References addLinearCoef(), NULL, REALABS, SCIP_CALL, SCIP_OKAY, and SCIPisInfinity().

SCIP_RETCODE SCIPsetExprtreesNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons,
		int	nexprtrees,
		SCIP_EXPRTREE **	exprtrees,
		SCIP_Real *	coefs
	)

sets the expression trees in a nonlinear constraint constraint must not be active yet

Parameters

scip	SCIP data structure
cons	constraint
nexprtrees	number of expression trees
exprtrees	new expression trees, or NULL if nexprtrees is 0
coefs	coefficients of expression trees, or NULL if all 1.0

Definition at line 9109 of file cons_nonlinear.c.

References consdataSetExprtrees(), NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPconsIsActive(), and TRUE.

SCIP_RETCODE SCIPaddExprtreesNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons,
		int	nexprtrees,
		SCIP_EXPRTREE **	exprtrees,
		SCIP_Real *	coefs
	)

adds expression trees to a nonlinear constraint constraint must not be active yet

Parameters

scip	SCIP data structure
cons	constraint
nexprtrees	number of expression trees
exprtrees	new expression trees, or NULL if nexprtrees is 0
coefs	coefficients of expression trees, or NULL if all 1.0

Definition at line 9131 of file cons_nonlinear.c.

References consdataAddExprtrees(), NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPconsIsActive(), and TRUE.

Referenced by readNonlinearExprs().

SCIP_RETCODE SCIPgetNlRowNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons,
		SCIP_NLROW **	nlrow
	)

gets the nonlinear constraint as a nonlinear row representation

Parameters

scip	SCIP data structure
cons	constraint
nlrow	pointer to store nonlinear row

Definition at line 9151 of file cons_nonlinear.c.

References createNlRow(), NULL, SCIP_CALL, SCIP_OKAY, and SCIPconsGetData().

int SCIPgetNLinearVarsNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the number of variables in the linear term of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9176 of file cons_nonlinear.c.

References NULL, and SCIPconsGetData().

Referenced by readNonlinearExprs(), SCIP_DECL_NONLINCONSUPGD(), SCIPwriteGms(), and SCIPwritePip().

SCIP_VAR** SCIPgetLinearVarsNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the variables in the linear part of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9188 of file cons_nonlinear.c.

References NULL, and SCIPconsGetData().

Referenced by readNonlinearExprs(), SCIP_DECL_NONLINCONSUPGD(), SCIPwriteGms(), and SCIPwritePip().

SCIP_Real* SCIPgetLinearCoefsNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the coefficients in the linear part of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9200 of file cons_nonlinear.c.

References NULL, and SCIPconsGetData().

Referenced by readNonlinearExprs(), SCIP_DECL_NONLINCONSUPGD(), SCIPwriteGms(), and SCIPwritePip().

int SCIPgetNExprtreesNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the number of expression trees of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9212 of file cons_nonlinear.c.

References NULL, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPconsGetData(), and SCIPgetStage().

Referenced by SCIPwriteGms(), and SCIPwritePip().

SCIP_EXPRTREE** SCIPgetExprtreesNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the expression trees of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9225 of file cons_nonlinear.c.

References NULL, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPconsGetData(), and SCIPgetStage().

Referenced by SCIPwriteGms(), and SCIPwritePip().

SCIP_Real* SCIPgetExprtreeCoefsNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the coefficients of the expression trees of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9238 of file cons_nonlinear.c.

References NULL, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPconsGetData(), and SCIPgetStage().

Referenced by SCIPwriteGms(), and SCIPwritePip().

SCIP_EXPRGRAPHNODE* SCIPgetExprgraphNodeNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the expression graph node of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9251 of file cons_nonlinear.c.

References NULL, and SCIPconsGetData().

Referenced by SCIP_DECL_NONLINCONSUPGD(), and SCIPwriteGms().

SCIP_Real SCIPgetLhsNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the left hand side of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9263 of file cons_nonlinear.c.

References NULL, and SCIPconsGetData().

Referenced by readNonlinearExprs(), SCIP_DECL_NONLINCONSUPGD(), SCIPwriteGms(), and SCIPwritePip().

SCIP_Real SCIPgetRhsNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

gets the right hand side of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9275 of file cons_nonlinear.c.

References NULL, and SCIPconsGetData().

Referenced by readNonlinearExprs(), SCIP_DECL_NONLINCONSUPGD(), SCIPwriteGms(), and SCIPwritePip().

SCIP_RETCODE SCIPcheckCurvatureNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons
	)

check the function of a nonlinear constraint for convexity/concavity, if not done yet

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 9287 of file cons_nonlinear.c.

References checkCurvature(), NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetHdlr(), and SCIPconshdlrGetData().

SCIP_RETCODE SCIPgetCurvatureNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons,
		SCIP_Bool	checkcurv,
		SCIP_EXPRCURV *	curvature
	)

gets the curvature of the nonlinear function of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint
checkcurv	whether to check constraint curvature, if not checked before
curvature	pointer to store curvature of constraint

Definition at line 9309 of file cons_nonlinear.c.

References checkCurvature(), NULL, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetHdlr(), and SCIPconshdlrGetData().

SCIP_RETCODE SCIPgetExprtreeCurvaturesNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons,
		SCIP_Bool	checkcurv,
		SCIP_EXPRCURV **	curvatures
	)

gets the curvature of the expression trees (multiplied by their coefficient) of a nonlinear constraint

Parameters

scip	SCIP data structure
cons	constraint
checkcurv	whether to check constraint curvature, if not checked before
curvatures	buffer to store curvatures of exprtrees

Definition at line 9343 of file cons_nonlinear.c.

References checkCurvature(), NULL, SCIP_CALL, SCIP_OKAY, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconshdlrGetData(), and SCIPgetStage().

SCIP_RETCODE SCIPgetViolationNonlinear	(	SCIP *	scip,
		SCIP_CONS *	cons,
		SCIP_SOL *	sol,
		SCIP_Real *	violation
	)

computes the violation of a nonlinear constraint by a solution

Parameters

scip	SCIP data structure
cons	constraint
sol	solution which violation to calculate, or NULL for LP solution
violation	pointer to store violation of constraint

Definition at line 9380 of file cons_nonlinear.c.

References computeViolation(), MAX, NULL, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_STAGE_EXITPRESOLVE, SCIP_STAGE_INITPRESOLVE, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsIsActive(), SCIPgetStage(), and SCIPwarningMessage().

SCIP_EXPRGRAPH* SCIPgetExprgraphNonlinear	(	SCIP *	scip,
		SCIP_CONSHDLR *	conshdlr
	)

gets expression graph of nonlinear constraint handler

Parameters

scip	SCIP data structure
conshdlr	nonlinear constraint handler

Definition at line 9416 of file cons_nonlinear.c.

References NULL, and SCIPconshdlrGetData().

Referenced by SCIP_DECL_NONLINCONSUPGD(), and SCIPwriteGms().