cons_bivariate.c File Reference

Detailed Description

constraint handler for bivariate nonlinear constraints \(\textrm{lhs} \leq f(x,y) + c z \leq \textrm{rhs}\)

Author

Martin Ballerstein

Dennis Michaels

Stefan Vigerske

Definition in file cons_bivariate.c.

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

Go to the source code of this file.

Macros
#define	CONSHDLR_NAME   "bivariate"
#define	CONSHDLR_DESC   "constraint handler for constraints of the form lhs <= f(x,y) + c*z <= rhs where f(x,y) is a bivariate function"
#define	CONSHDLR_SEPAPRIORITY   5
#define	CONSHDLR_ENFOPRIORITY   -55
#define	CONSHDLR_CHECKPRIORITY   -3600000
#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_NEEDSCONS   TRUE
#define	CONSHDLR_PRESOLTIMING   SCIP_PRESOLTIMING_FAST
#define	CONSHDLR_PROP_TIMING   SCIP_PROPTIMING_BEFORELP
#define	INTERVALINFTY   1E+43
#define	NEWTONMAXITER   1000
#define	INITLPMAXVARVAL   1000.0
#define	QUADCONSUPGD_PRIORITY   5000
#define	NONLINCONSUPGD_PRIORITY   10000
#define	infty2infty(infty1, infty2, val)   ((val) >= (infty1) ? (infty2) : (val))

Typedefs
typedef struct SepaData_ConvexConcave	SEPADATA_CONVEXCONCAVE

Functions
static	SCIP_DECL_EVENTEXEC (processLinearVarEvent)
static SCIP_RETCODE	catchLinearVarEvents (SCIP *scip, SCIP_CONS *cons)
static SCIP_RETCODE	dropLinearVarEvents (SCIP *scip, SCIP_CONS *cons)
static	SCIP_DECL_EVENTEXEC (processNonlinearVarEvent)
static	SCIP_DECL_EXPRGRAPHVARADDED (exprgraphVarAdded)
static	SCIP_DECL_EXPRGRAPHVARREMOVE (exprgraphVarRemove)
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 SCIP_RETCODE	removeFixedVariables (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, SCIP_Bool *ischanged, SCIP_Bool *isupgraded)
static SCIP_RETCODE	removeFixedNonlinearVariables (SCIP *scip, SCIP_CONSHDLR *conshdlr)
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	initSepaDataCreateVred (SCIP *scip, SCIP_EXPRTREE **vred, SCIP_EXPRTREE *f)
static SCIP_RETCODE	initSepaData (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_CONS *cons)
static SCIP_RETCODE	freeSepaData (SCIP *scip, SCIP_CONS *cons)
static void	perturb (SCIP_Real *val, SCIP_Real lb, SCIP_Real ub, SCIP_Real amount)
static SCIP_RETCODE	solveDerivativeEquation (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real targetvalue, SCIP_Real lb, SCIP_Real ub, SCIP_Real *val, SCIP_Bool *success)
static SCIP_RETCODE	generateLinearizationCut (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_CONS *cons, SCIP_Real *x0y0, SCIP_Bool newxy, SCIP_ROW **row)
static SCIP_RETCODE	generateEstimatingHyperplane (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Bool doover, SCIP_Real *x0y0, SCIP_Real *coefx, SCIP_Real *coefy, SCIP_Real *constant, SCIP_Bool *success)
static SCIP_RETCODE	generateOverestimatingHyperplaneCut (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_CONS *cons, SCIP_Real *x0y0, SCIP_ROW **row)
static SCIP_RETCODE	generateUnderestimatorParallelYFacets (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real *xyref, SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generateOrthogonal_lx_ly_Underestimator (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real *xyref, SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generateOrthogonal_lx_uy_Underestimator (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real *xyref, SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generateConvexConcaveUnderestimator (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_EXPRTREE *f_yfixed, SCIP_EXPRTREE *vred, SCIP_Real xyref[2], SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generateConvexConcaveEstimator (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_CONS *cons, SCIP_Real xyref[2], SCIP_SIDETYPE violside, SCIP_ROW **row)
static SCIP_RETCODE	lifting (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real xval, SCIP_Real yval, SCIP_Real xlb, SCIP_Real xub, SCIP_Real ylb, SCIP_Real yub, int min_max, SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generate1ConvexIndefiniteUnderestimatorAtBoundary (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real xyref[2], SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real xyref[2], SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_EXPRTREE *f, SCIP_Real xyref[2], SCIP_Real cutcoeff[4], SCIP_Real *convenvvalue, SCIP_Bool *success)
static SCIP_RETCODE	generate1ConvexIndefiniteUnderestimator (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_CONS *cons, SCIP_Real *xyref, SCIP_ROW **row)
static SCIP_RETCODE	generateCut (SCIP *scip, SCIP_EXPRINT *exprinterpreter, SCIP_CONS *cons, SCIP_SOL *sol, SCIP_SIDETYPE violside, SCIP_Real cutmaxrange, SCIP_ROW **row)
static SCIP_Bool	isConvexLocal (SCIP *scip, SCIP_CONS *cons, SCIP_SIDETYPE side)
static SCIP_RETCODE	separatePoint (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, int nusefulconss, SCIP_SOL *sol, SCIP_Real minefficacy, SCIP_Bool inenforcement, SCIP_RESULT *result, SCIP_Real *bestefficacy)
static	SCIP_DECL_EVENTEXEC (processNewSolutionEvent)
static SCIP_RETCODE	registerBranchingVariables (SCIP *scip, SCIP_CONS **conss, int nconss, int *nnotify)
static SCIP_RETCODE	registerLargeRelaxValueVariableForBranching (SCIP *scip, SCIP_CONS **conss, int nconss, SCIP_SOL *sol, SCIP_VAR **brvar)
static SCIP_RETCODE	enforceViolatedFixedNonlinear (SCIP *scip, SCIP_CONS **conss, int nconss, SCIP_Bool *reduceddom, SCIP_Bool *infeasible)
static SCIP_RETCODE	propagateBoundsTightenVar (SCIP *scip, SCIP_VAR *var, SCIP_INTERVAL bounds, SCIP_CONS *cons, 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	propagateBounds (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_RESULT *result, int *nchgbds, int *ndelconss)
static SCIP_RETCODE	proposeFeasibleSolution (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_SOL *sol, SCIP_Bool *success)
static SCIP_RETCODE	createConsFromQuadTerm (SCIP *scip, SCIP_CONS *srccons, SCIP_CONS **cons, const char *name, SCIP_VAR *x, SCIP_VAR *y, SCIP_VAR *z, SCIP_Real coefxx, SCIP_Real coefx, SCIP_Real coefyy, SCIP_Real coefy, SCIP_Real coefxy, SCIP_Real coefz, SCIP_Real lhs, SCIP_Real rhs)
static SCIP_RETCODE	createExprtreeFromMonomial (SCIP *scip, SCIP_VAR *x, SCIP_VAR *y, SCIP_Real coef, SCIP_Real p, SCIP_Real q, SCIP_EXPRTREE **exprtree, SCIP_Real *mult, SCIP_BIVAR_CONVEXITY *convextype)
static SCIP_RETCODE	createConsFromMonomial (SCIP *scip, SCIP_CONS *srccons, SCIP_CONS **cons, const char *name, SCIP_VAR *x, SCIP_VAR *y, SCIP_VAR *z, SCIP_Real coef, SCIP_Real p, SCIP_Real q, SCIP_Real zcoef, SCIP_Real lhs, SCIP_Real rhs)
static SCIP_RETCODE	enforceConstraint (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, int nusefulconss, SCIP_SOL *sol, SCIP_Bool solinfeasible, SCIP_RESULT *result)
static	SCIP_DECL_CONSHDLRCOPY (conshdlrCopyBivariate)
static	SCIP_DECL_CONSFREE (consFreeBivariate)
static	SCIP_DECL_CONSINIT (consInitBivariate)
static	SCIP_DECL_CONSEXIT (consExitBivariate)
static	SCIP_DECL_CONSINITPRE (consInitpreBivariate)
static	SCIP_DECL_CONSEXITPRE (consExitpreBivariate)
static	SCIP_DECL_CONSINITSOL (consInitsolBivariate)
static	SCIP_DECL_CONSEXITSOL (consExitsolBivariate)
static	SCIP_DECL_CONSDELETE (consDeleteBivariate)
static	SCIP_DECL_CONSTRANS (consTransBivariate)
static	SCIP_DECL_CONSINITLP (consInitlpBivariate)
static	SCIP_DECL_CONSSEPALP (consSepalpBivariate)
static	SCIP_DECL_CONSSEPASOL (consSepasolBivariate)
static	SCIP_DECL_CONSENFOLP (consEnfolpBivariate)
static	SCIP_DECL_CONSENFORELAX (consEnforelaxBivariate)
static	SCIP_DECL_CONSENFOPS (consEnfopsBivariate)
static	SCIP_DECL_CONSCHECK (consCheckBivariate)
static	SCIP_DECL_CONSPROP (consPropBivariate)
static	SCIP_DECL_CONSPRESOL (consPresolBivariate)
static	SCIP_DECL_CONSLOCK (consLockBivariate)
static	SCIP_DECL_CONSACTIVE (consActiveBivariate)
static	SCIP_DECL_CONSDEACTIVE (consDeactiveBivariate)
static	SCIP_DECL_CONSENABLE (consEnableBivariate)
static	SCIP_DECL_CONSDISABLE (consDisableBivariate)
static	SCIP_DECL_CONSPRINT (consPrintBivariate)
static	SCIP_DECL_CONSCOPY (consCopyBivariate)
static	SCIP_DECL_CONSGETVARS (consGetVarsBivariate)
static	SCIP_DECL_CONSGETNVARS (consGetNVarsBivariate)
static	SCIP_DECL_QUADCONSUPGD (quadconsUpgdBivariate)
static	SCIP_DECL_EXPRGRAPHNODEREFORM (exprgraphnodeReformBivariate)
SCIP_RETCODE	SCIPincludeConshdlrBivariate (SCIP *scip)
SCIP_RETCODE	SCIPcreateConsBivariate (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_EXPRTREE *f, SCIP_BIVAR_CONVEXITY convextype, SCIP_VAR *z, SCIP_Real zcoef, 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	SCIPcreateConsBasicBivariate (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_EXPRTREE *f, SCIP_BIVAR_CONVEXITY convextype, SCIP_VAR *z, SCIP_Real zcoef, SCIP_Real lhs, SCIP_Real rhs)
SCIP_VAR *	SCIPgetLinearVarBivariate (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetLinearCoefBivariate (SCIP *scip, SCIP_CONS *cons)
SCIP_EXPRTREE *	SCIPgetExprtreeBivariate (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetLhsBivariate (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetRhsBivariate (SCIP *scip, SCIP_CONS *cons)

Macro Definition Documentation

CONSHDLR_NAME

#define CONSHDLR_NAME   "bivariate"

Definition at line 39 of file cons_bivariate.c.

Referenced by SCIP_DECL_CONSEXITSOL(), SCIP_DECL_CONSINITSOL(), SCIPcreateConsBivariate(), and SCIPincludeConshdlrBivariate().

CONSHDLR_DESC

#define CONSHDLR_DESC   "constraint handler for constraints of the form lhs <= f(x,y) + c*z <= rhs where f(x,y) is a bivariate function"

Definition at line 40 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_SEPAPRIORITY

#define CONSHDLR_SEPAPRIORITY   5

priority of the constraint handler for separation

Definition at line 41 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_ENFOPRIORITY

#define CONSHDLR_ENFOPRIORITY   -55

priority of the constraint handler for constraint enforcing

Definition at line 42 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_CHECKPRIORITY

#define CONSHDLR_CHECKPRIORITY   -3600000

priority of the constraint handler for checking feasibility

Definition at line 43 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_SEPAFREQ

#define CONSHDLR_SEPAFREQ   1

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

Definition at line 44 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_PROPFREQ

#define CONSHDLR_PROPFREQ   1

frequency for propagating domains; zero means only preprocessing propagation

Definition at line 45 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_EAGERFREQ

#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_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_MAXPREROUNDS

#define CONSHDLR_MAXPREROUNDS   -1

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

Definition at line 49 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_DELAYSEPA

#define CONSHDLR_DELAYSEPA   FALSE

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

Definition at line 50 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_DELAYPROP

#define CONSHDLR_DELAYPROP   FALSE

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

Definition at line 51 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_NEEDSCONS

#define CONSHDLR_NEEDSCONS   TRUE

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

Definition at line 52 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_PRESOLTIMING

#define CONSHDLR_PRESOLTIMING   SCIP_PRESOLTIMING_FAST

Definition at line 54 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

CONSHDLR_PROP_TIMING

#define CONSHDLR_PROP_TIMING   SCIP_PROPTIMING_BEFORELP

Definition at line 55 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

INTERVALINFTY

#define INTERVALINFTY   1E+43

value for infinity in interval operations

Definition at line 57 of file cons_bivariate.c.

Referenced by propagateBounds(), propagateBoundsCons(), SCIP_DECL_EVENTEXEC(), and SCIP_DECL_EXPRGRAPHVARADDED().

NEWTONMAXITER

#define NEWTONMAXITER   1000

maximal number of iterations in newton method

Definition at line 58 of file cons_bivariate.c.

Referenced by solveDerivativeEquation().

INITLPMAXVARVAL

#define INITLPMAXVARVAL   1000.0

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

Definition at line 59 of file cons_bivariate.c.

Referenced by SCIP_DECL_CONSINITLP().

QUADCONSUPGD_PRIORITY

#define QUADCONSUPGD_PRIORITY   5000

priority of the constraint handler for upgrading of quadratic constraints

Definition at line 61 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

NONLINCONSUPGD_PRIORITY

#define NONLINCONSUPGD_PRIORITY   10000

priority of the constraint handler for upgrading of nonlinear constraints

Definition at line 62 of file cons_bivariate.c.

Referenced by SCIPincludeConshdlrBivariate().

infty2infty

#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 146 of file cons_bivariate.c.

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

Typedef Documentation

SEPADATA_CONVEXCONCAVE

typedef struct SepaData_ConvexConcave SEPADATA_CONVEXCONCAVE

data structure to cache data used for separation of convex-concave constraints

Definition at line 83 of file cons_bivariate.c.

Function Documentation

SCIP_DECL_EVENTEXEC() [1/3]

static SCIP_DECL_EVENTEXEC ( processLinearVarEvent  )

static

processes bound tightening event

Definition at line 150 of file cons_bivariate.c.

References catchLinearVarEvents(), NULL, SCIP_CALL, SCIP_EVENTTYPE_BOUNDTIGHTENED, SCIP_OKAY, SCIPeventGetType(), and SCIPmarkConsPropagate().

Referenced by dropLinearVarEvents(), and separatePoint().

catchLinearVarEvents()

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

static

catches variable bound change events on the linear variable in a bivariate constraint

Parameters

scip	SCIP data structure
cons	constraint for which to catch bound change events

Definition at line 170 of file cons_bivariate.c.

References dropLinearVarEvents(), NULL, SCIP_CALL, SCIP_EVENTTYPE_DISABLED, SCIP_EVENTTYPE_LBTIGHTENED, SCIP_EVENTTYPE_UBTIGHTENED, SCIP_OKAY, SCIPcatchVarEvent(), SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconshdlrGetData(), SCIPconsIsEnabled(), SCIPconsIsTransformed(), SCIPisInfinity(), and SCIPmarkConsPropagate().

Referenced by removeFixedVariables(), SCIP_DECL_CONSENABLE(), and SCIP_DECL_EVENTEXEC().

dropLinearVarEvents()

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

static

drops variable bound change events on the linear variable in a bivariate constraint

Parameters

scip	SCIP data structure
cons	constraint for which to catch bound change events

Definition at line 223 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_EVENTEXEC(), SCIP_EVENTTYPE_DISABLED, SCIP_EVENTTYPE_LBTIGHTENED, SCIP_EVENTTYPE_UBTIGHTENED, SCIP_OKAY, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconshdlrGetData(), SCIPconsIsTransformed(), SCIPdropVarEvent(), and SCIPisInfinity().

Referenced by catchLinearVarEvents(), removeFixedVariables(), and SCIP_DECL_CONSDISABLE().

SCIP_DECL_EVENTEXEC() [2/3]

static SCIP_DECL_EVENTEXEC ( processNonlinearVarEvent  )

static

processes bound change events for variables in expression graph

Definition at line 275 of file cons_bivariate.c.

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

SCIP_DECL_EXPRGRAPHVARADDED()

static SCIP_DECL_EXPRGRAPHVARADDED ( exprgraphVarAdded  )

static

callback method for variable addition in expression graph

Definition at line 322 of file cons_bivariate.c.

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

Referenced by SCIP_DECL_EVENTEXEC().

SCIP_DECL_EXPRGRAPHVARREMOVE()

static SCIP_DECL_EXPRGRAPHVARREMOVE ( exprgraphVarRemove  )

static

callback method for variable removal in expression graph

Definition at line 360 of file cons_bivariate.c.

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

Referenced by SCIP_DECL_EXPRGRAPHVARADDED().

lockLinearVariable()

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

static

locks 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 386 of file cons_bivariate.c.

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

Referenced by removeFixedVariables(), and SCIP_DECL_EXPRGRAPHVARREMOVE().

unlockLinearVariable()

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

static

unlocks 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 417 of file cons_bivariate.c.

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

Referenced by lockLinearVariable(), and removeFixedVariables().

removeFixedVariables()

static SCIP_RETCODE removeFixedVariables ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, SCIP_Bool *  ischanged, SCIP_Bool *  isupgraded  )

static

resolves variable fixations and aggregations in a constraint

Parameters

scip	SCIP data structure
conshdlr	constraint handler
cons	constraint where to remove fixed variables
ischanged	buffer to store whether something was changed in the constraint
isupgraded	buffer to store whether the constraint has been upgraded (and deleted)

Definition at line 448 of file cons_bivariate.c.

References catchLinearVarEvents(), dropLinearVarEvents(), FALSE, lockLinearVariable(), NULL, removeFixedNonlinearVariables(), SCIP_CALL, SCIP_EXPR_CONST, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIP_STAGE_EXITPRESOLVE, SCIP_VARSTATUS_FIXED, SCIP_VARSTATUS_MULTAGGR, SCIPaddCons(), SCIPblkmem(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsNonlinear(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPexprCreate(), SCIPexprCreateLinear(), SCIPexprFreeDeep(), SCIPexprReindexVars(), SCIPexprtreeCopy(), SCIPexprtreeFree(), SCIPexprtreeGetNVars(), SCIPexprtreeGetRoot(), SCIPexprtreeGetVars(), SCIPexprtreeSetVars(), SCIPexprtreeSubstituteVars(), SCIPgetProbvarSum(), SCIPgetStage(), SCIPisInfinity(), SCIPmarkDoNotMultaggrVar(), SCIPreleaseCons(), SCIPvarGetProbvar(), SCIPvarGetStatus(), SCIPvarIsActive(), TRUE, and unlockLinearVariable().

Referenced by SCIP_DECL_CONSEXITPRE(), SCIP_DECL_CONSPRESOL(), and unlockLinearVariable().

removeFixedNonlinearVariables()

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 674 of file cons_bivariate.c.

References computeViolation(), NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPallocBufferArray, SCIPconshdlrGetData(), SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPexprgraphGetNVars(), SCIPexprgraphGetVars(), SCIPexprgraphReplaceVarByLinearSum(), SCIPfreeBufferArray, SCIPgetProbvarLinearSum(), SCIPreallocBufferArray, SCIPvarGetName(), SCIPvarIsActive(), and TRUE.

Referenced by removeFixedVariables(), SCIP_DECL_CONSEXITPRE(), and SCIP_DECL_CONSPRESOL().

computeViolation()

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

static

computes violation of a constraint

Parameters

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

Definition at line 750 of file cons_bivariate.c.

References computeViolations(), MAX, MIN, NULL, REALABS, SCIP_CALL, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIPABORT, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPerrorMessage, SCIPexprintCompile(), SCIPexprintEval(), SCIPexprintGrad(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetVars(), SCIPgetSolVal(), SCIPinfinity(), SCIPisEQ(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisFinite, SCIPisInfinity(), SCIPvarGetLbGlobal(), SCIPvarGetLbLocal(), SCIPvarGetUbGlobal(), SCIPvarGetUbLocal(), and TRUE.

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

computeViolations()

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 912 of file cons_bivariate.c.

References computeViolation(), initSepaDataCreateVred(), MAX, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPfeastol(), and SCIPisGT().

Referenced by computeViolation(), enforceConstraint(), SCIP_DECL_CONSENFOPS(), SCIP_DECL_CONSSEPALP(), and SCIP_DECL_CONSSEPASOL().

initSepaDataCreateVred()

static SCIP_RETCODE initSepaDataCreateVred ( SCIP *  scip, SCIP_EXPRTREE **  vred, SCIP_EXPRTREE *  f  )

static

setup vred(s;x0,y0,ylb,yub) for a given f(x,y) for computing a convex-concave underestimator vred(s;x0,y0,ylb,yub) = (yub-y0)/(yub-ylb) f((yub-ylb)/(yub-y0)x0 - (y0-ylb)/(yub-y0)*s, ylb) + (y0-ylb)/(yub-ylb) f(s,yub)

Parameters

scip	SCIP data structure
vred	buffer where to store exprtree for vred
f	function f(x,y) for which vred should be setup

Definition at line 960 of file cons_bivariate.c.

References initSepaData(), NULL, SCIP_CALL, SCIP_EXPR_DIV, SCIP_EXPR_MINUS, SCIP_EXPR_MUL, SCIP_EXPR_PARAM, SCIP_EXPR_PLUS, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPexprCopyDeep(), SCIPexprCreate(), SCIPexprCreateLinear(), SCIPexprFreeDeep(), SCIPexprGetOperator(), SCIPexprSubstituteVars(), SCIPexprtreeCreate(), and SCIPexprtreeGetRoot().

Referenced by computeViolations(), and initSepaData().

initSepaData()

static SCIP_RETCODE initSepaData ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_CONS *  cons  )

static

initializes separation data

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
cons	constraint

Definition at line 1060 of file cons_bivariate.c.

References freeSepaData(), initSepaDataCreateVred(), MAX, MIN, NULL, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_Bool, SCIP_CALL, SCIP_EXPR_PARAM, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPconsGetData(), SCIPexprCopyDeep(), SCIPexprCreate(), SCIPexprCreateLinear(), SCIPexprFreeDeep(), SCIPexprintCompile(), SCIPexprintHessianSparsityDense(), SCIPexprReindexVars(), SCIPexprtreeCopy(), SCIPexprtreeCreate(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetRoot(), SCIPexprtreeGetVars(), SCIPexprtreeSetParams(), SCIPexprtreeSetVars(), SCIPexprtreeSubstituteVars(), SCIPisInfinity(), SCIPvarGetLbLocal(), and SCIPvarGetUbLocal().

Referenced by initSepaDataCreateVred(), and SCIP_DECL_CONSINITSOL().

freeSepaData()

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

static

frees separation data

Parameters

scip	SCIP data structure
cons	constraint

Definition at line 1216 of file cons_bivariate.c.

References NULL, perturb(), SCIP_BIVAR_CONVEX_CONCAVE, SCIP_CALL, SCIP_OKAY, SCIPconsGetData(), and SCIPexprtreeFree().

Referenced by initSepaData(), and SCIP_DECL_CONSEXITSOL().

perturb()

static void perturb ( SCIP_Real *  val, SCIP_Real  lb, SCIP_Real  ub, SCIP_Real  amount  )

static

perturbs a value w.r.t. bounds

Parameters

val	value to perturb on input; perturbed value on output
lb	lower bound
ub	upper bound
amount	relative amount of perturbation

Definition at line 1265 of file cons_bivariate.c.

References MIN, NULL, SCIP_Real, and solveDerivativeEquation().

Referenced by freeSepaData(), generate1ConvexIndefiniteUnderestimator(), generateConvexConcaveUnderestimator(), generateLinearizationCut(), and solveDerivativeEquation().

solveDerivativeEquation()

static SCIP_RETCODE solveDerivativeEquation ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real  targetvalue, SCIP_Real  lb, SCIP_Real  ub, SCIP_Real *  val, SCIP_Bool *  success  )

static

solves an equation f'(s) = constant for a univariate convex or concave function f with respect to bounds on s if there is no s between the bounds such that f'(s) = constant, then it returns the closest bound (and still claims success)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	expression tree for f(s)
targetvalue	target value for derivative
lb	lower bound on variable
ub	upper bound on variable
val	buffer to store solution value
success	buffer to indicate whether a solution has been found

Definition at line 1290 of file cons_bivariate.c.

References FALSE, generateLinearizationCut(), MAX, MIN, NEWTONMAXITER, NULL, perturb(), SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPexprintGrad(), SCIPexprintHessianDense(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetNVars(), SCIPisEQ(), SCIPisFeasEQ(), SCIPisFinite, SCIPisRelEQ(), SCIPisZero(), and TRUE.

Referenced by generateConvexConcaveUnderestimator(), generateOrthogonal_lx_ly_Underestimator(), generateOrthogonal_lx_uy_Underestimator(), generateUnderestimatorParallelYFacets(), and perturb().

generateLinearizationCut()

static SCIP_RETCODE generateLinearizationCut ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_CONS *  cons, SCIP_Real *  x0y0, SCIP_Bool  newxy, SCIP_ROW **  row  )

static

generates a cut for f(x,y) + c*z <= rhs with f(x,y) being convex or 1-convex with x or y fixed or convex-concave with y fixed f(x0, y0) + <grad, (x,y)-(x0,y0)> + c*z <= rhs, where grad is gradient of f in (x0, y0)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
cons	constraint
x0y0	value of x and y variables where to generate cut
newxy	whether the last evaluation of f(x,y) with the expression interpreter was at (x0, y0)
row	storage for cut

Definition at line 1450 of file cons_bivariate.c.

References FALSE, generateEstimatingHyperplane(), NULL, perturb(), SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIPaddVarsToRow(), SCIPaddVarToRow(), SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPcreateEmptyRowCons(), SCIPdebugMsg, SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetVars(), SCIPgetNLPs(), SCIPinfinity(), SCIPisEQ(), SCIPisFinite, SCIPisInfinity(), SCIPsnprintf(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generateCut(), SCIP_DECL_CONSINITLP(), SCIP_DECL_EVENTEXEC(), and solveDerivativeEquation().

generateEstimatingHyperplane()

static SCIP_RETCODE generateEstimatingHyperplane ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Bool  doover, SCIP_Real *  x0y0, SCIP_Real *  coefx, SCIP_Real *  coefy, SCIP_Real *  constant, SCIP_Bool *  success  )

static

given a convex (concave, resp.) bivariate function, computes an over- (under-, resp.) estimating hyperplane does not succeed if some variable is unbounded or both variables are fixed

Parameters

scip	SCIP data structure
exprinterpreter	expression interpreter
f	bivariate function to compute under or overestimator for
doover	whether to compute an overestimator (TRUE) or an underestimator (FALSE)
x0y0	reference values for nonlinear variables
coefx	coefficient of x in estimator
coefy	coefficient of y in estimator
constant	constant part of estimator
success	pointer to indicate whether coefficients where successfully computed

Definition at line 1526 of file cons_bivariate.c.

References FALSE, generateOverestimatingHyperplaneCut(), NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPcomputeHyperplaneThreePoints(), SCIPdebugMsg, SCIPexprintEval(), SCIPexprtreeGetVars(), SCIPisEQ(), SCIPisFeasEQ(), SCIPisFeasLE(), SCIPisFinite, SCIPisGE(), SCIPisInfinity(), SCIPisLE(), SCIPisNegative(), SCIPisZero(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generateConvexConcaveEstimator(), generateLinearizationCut(), and generateOverestimatingHyperplaneCut().

generateOverestimatingHyperplaneCut()

static SCIP_RETCODE generateOverestimatingHyperplaneCut ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_CONS *  cons, SCIP_Real *  x0y0, SCIP_ROW **  row  )

static

generates a cut for lhs <= f(x,y) + c*z with f(x,y) being convex

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
cons	constraint
x0y0	reference values for nonlinear variables
row	storage for cut

Definition at line 1772 of file cons_bivariate.c.

References FALSE, generateEstimatingHyperplane(), generateUnderestimatorParallelYFacets(), NULL, SCIP_Bool, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPaddVarsToRow(), SCIPaddVarToRow(), SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPcreateRowCons(), SCIPdebugMsg, SCIPexprtreeGetVars(), SCIPinfinity(), SCIPisFinite, SCIPisInfinity(), and TRUE.

Referenced by generateCut(), generateEstimatingHyperplane(), and SCIP_DECL_CONSINITLP().

generateUnderestimatorParallelYFacets()

static SCIP_RETCODE generateUnderestimatorParallelYFacets ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real *  xyref, SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

generates a linear underestimator for f(x,y) when the generators of the underestimating segment are contained in y=ylb and y=yub. Generate coefficients cutcoeff = (alpha, beta, gamma, delta), such that alpha * x + beta * y - delta <= gamma * f(x,y)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
xyref	reference values for x and y
cutcoeff	cut coefficients alpha, beta, gamma, delta
convenvvalue	function value of the convex envelope
success	buffer to store whether coefficients were successfully computed

Definition at line 1824 of file cons_bivariate.c.

References FALSE, generateOrthogonal_lx_ly_Underestimator(), MAX, MIN, NULL, REALABS, SCIP_CALL, SCIP_EXPR_CONST, SCIP_EXPR_MUL, SCIP_EXPR_PLUS, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPexprCopyDeep(), SCIPexprCreate(), SCIPexprFreeDeep(), SCIPexprGetOperator(), SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprSubstituteVars(), SCIPexprtreeCreate(), SCIPexprtreeEval(), SCIPexprtreeFree(), SCIPexprtreeGetRoot(), SCIPexprtreeGetVars(), SCIPexprtreePrintWithNames(), SCIPgetMessagehdlr(), SCIPisEQ(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisFinite, SCIPisInfinity(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), solveDerivativeEquation(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA(), generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB(), and generateOverestimatingHyperplaneCut().

generateOrthogonal_lx_ly_Underestimator()

static SCIP_RETCODE generateOrthogonal_lx_ly_Underestimator ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real *  xyref, SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

generates a linear underestimator for f(x,y) with f(x,y) being convex in x and convex in y. The segmenent connects orthogonal facets: Either (x=l_x,y=l_y) or (x=u_x,y=u_y). generate coefficients cutcoeff = (alpha, beta, gamma, delta), such that alpha * x + beta * y - delta <= gamma * f(x,y)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
xyref	reference values for x and y
cutcoeff	cut coefficients alpha, beta, gamma, delta
convenvvalue	function value of the convex envelope
success	buffer to store whether coefficients were successfully computed

Definition at line 2055 of file cons_bivariate.c.

References FALSE, generateOrthogonal_lx_uy_Underestimator(), MAX, MIN, NULL, REALABS, SCIP_CALL, SCIP_EXPR_CONST, SCIP_EXPR_DIV, SCIP_EXPR_MINUS, SCIP_EXPR_MUL, SCIP_EXPR_PLUS, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPexprCopyDeep(), SCIPexprCreate(), SCIPexprFreeDeep(), SCIPexprGetOperator(), SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprSubstituteVars(), SCIPexprtreeCreate(), SCIPexprtreeEval(), SCIPexprtreeFree(), SCIPexprtreeGetRoot(), SCIPexprtreeGetVars(), SCIPexprtreePrintWithNames(), SCIPgetMessagehdlr(), SCIPisEQ(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisFinite, SCIPisInfinity(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), solveDerivativeEquation(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA(), and generateUnderestimatorParallelYFacets().

generateOrthogonal_lx_uy_Underestimator()

static SCIP_RETCODE generateOrthogonal_lx_uy_Underestimator ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real *  xyref, SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

generates a linear underestimator for f(x,y) with f(x,y) being convex in x and convex in y generate coefficients cutcoeff = (alpha, beta, gamma, delta), such that alpha * x + beta * y - delta <= gamma * f(x,y)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
xyref	reference values for x and y
cutcoeff	cut coefficients alpha, beta, gamma, delta
convenvvalue	function value of the convex envelope
success	buffer to store whether coefficients were successfully computed

Definition at line 2449 of file cons_bivariate.c.

References FALSE, generateConvexConcaveUnderestimator(), MAX, MIN, NULL, REALABS, SCIP_CALL, SCIP_EXPR_CONST, SCIP_EXPR_DIV, SCIP_EXPR_MINUS, SCIP_EXPR_MUL, SCIP_EXPR_PLUS, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPexprCopyDeep(), SCIPexprCreate(), SCIPexprFreeDeep(), SCIPexprGetOperator(), SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprSubstituteVars(), SCIPexprtreeCreate(), SCIPexprtreeEval(), SCIPexprtreeFree(), SCIPexprtreeGetRoot(), SCIPexprtreeGetVars(), SCIPexprtreePrintWithNames(), SCIPgetMessagehdlr(), SCIPisEQ(), SCIPisFinite, SCIPisInfinity(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), solveDerivativeEquation(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB(), and generateOrthogonal_lx_ly_Underestimator().

generateConvexConcaveUnderestimator()

static SCIP_RETCODE generateConvexConcaveUnderestimator ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_EXPRTREE *  f_yfixed, SCIP_EXPRTREE *  vred, SCIP_Real  xyref[2], SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

generates a linear underestimator for f(x,y) with f(x,y) being STRICTLY convex in x and concave in y generate coefficients cutcoeff = (alpha, beta, gamma, delta), such that alpha * x + beta * y - delta <= gamma * f(x,y)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
f_yfixed	function f(x;y) with x variable and y parameter
vred	function vred(s;x0,y0,ylb,yub)
xyref	reference values for (x,y)
cutcoeff	cut coefficients alpha, beta, gamma, delta
convenvvalue	function value of the convex envelope
success	buffer to store whether coefficients were successfully computed

Definition at line 2839 of file cons_bivariate.c.

References FALSE, generateConvexConcaveEstimator(), MAX, MIN, NULL, perturb(), REALABS, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPexprintEval(), SCIPexprintGrad(), SCIPexprintNewParametrization(), SCIPexprtreeEval(), SCIPexprtreeGetVars(), SCIPexprtreePrint(), SCIPexprtreePrintWithNames(), SCIPexprtreeSetParams(), SCIPexprtreeSetParamVal(), SCIPgetMessagehdlr(), SCIPinfinity(), SCIPisEQ(), SCIPisFeasEQ(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisFinite, SCIPisGE(), SCIPisInfinity(), SCIPisLE(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), solveDerivativeEquation(), and TRUE.

Referenced by generateConvexConcaveEstimator(), and generateOrthogonal_lx_uy_Underestimator().

generateConvexConcaveEstimator()

static SCIP_RETCODE generateConvexConcaveEstimator ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_CONS *  cons, SCIP_Real  xyref[2], SCIP_SIDETYPE  violside, SCIP_ROW **  row  )

static

generates a cut for one side of lhs <= f(x,y) + c*z <= rhs with f(x,y) being convex in x and concave in y

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
cons	constraint
xyref	reference values for nonlinear variables
violside	for which side of constraint to find a cut
row	storage for cut

Definition at line 3342 of file cons_bivariate.c.

References FALSE, generateConvexConcaveUnderestimator(), generateEstimatingHyperplane(), lifting(), NULL, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_Bool, SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIP_STAGE_SOLVING, SCIPaddVarsToRow(), SCIPaddVarToRow(), SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPcreateEmptyRowCons(), SCIPcreateRowCons(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPexprtreeGetVars(), SCIPgetNLPs(), SCIPgetStage(), SCIPinfinity(), SCIPisFinite, SCIPisInfinity(), SCIPisPositive(), SCIPsnprintf(), and TRUE.

Referenced by generateConvexConcaveUnderestimator(), generateCut(), and SCIP_DECL_CONSINITLP().

lifting()

static SCIP_RETCODE lifting ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real  xval, SCIP_Real  yval, SCIP_Real  xlb, SCIP_Real  xub, SCIP_Real  ylb, SCIP_Real  yub, int  min_max, SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

computes an underestimating hyperplane for functions that are convex in x and y if the point to cut off lies on the boundary

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
xval	current x value
yval	current y value
xlb	lower bound x
xub	upper bound x
ylb	lower bound y
yub	upper bound y
min_max	min=-1 max=1
cutcoeff	returns the lifting coefficient
convenvvalue	value of the convex envelope at (xval,yval)
success	buffer to indicate whether lifting was successful

Definition at line 3509 of file cons_bivariate.c.

References FALSE, generate1ConvexIndefiniteUnderestimatorAtBoundary(), NULL, REALABS, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPexprintGrad(), SCIPisEQ(), SCIPisFinite, SCIPisInfinity(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimatorAtBoundary(), and generateConvexConcaveEstimator().

generate1ConvexIndefiniteUnderestimatorAtBoundary()

static SCIP_RETCODE generate1ConvexIndefiniteUnderestimatorAtBoundary ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real  xyref[2], SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

generate a linear underestimator for f(x,y) with f(x,y) being convex in x and convex in y and the point to cut off lies on the boundary generate coefficients cutcoeff = (alpha, beta, gamma, delta), such that alpha * x + beta * y - delta <= gamma * f(x,y)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
xyref	reference values for x and y
cutcoeff	cut coefficients alpha, beta, gamma, delta
convenvvalue	function value of the convex envelope
success	buffer to store whether coefficients were successfully computed

Definition at line 3599 of file cons_bivariate.c.

References FALSE, generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA(), lifting(), NULL, REALABS, SCIP_CALL, SCIP_ERROR, SCIP_OKAY, SCIP_Real, SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPerrorMessage, SCIPexprintGrad(), SCIPexprtreeGetVars(), SCIPexprtreePrintWithNames(), SCIPgetMessagehdlr(), SCIPisEQ(), SCIPisFeasEQ(), SCIPisFinite, SCIPisInfinity(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimator(), and lifting().

generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA()

static SCIP_RETCODE generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real  xyref[2], SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

generates a linear underestimator for f(x,y) with f(x,y) being convex in x and convex in y but indefinite This is for the case where the cone of the concave directions is (R_+ x R_-) union (R_- x R_+). We consider two cases: a) the underestimating segmenent connects parallel facets b) the underestimating segmenent connects orthogonal facets where x=l_x, y=l_y and x=u_x, y=u_y We ensure that the parallel facets are the horizontal with y=l_y and y=u_y We compute the objective value of the two problems. The smaller objective value corresponds to the convex envelope. The supporting hyperplane is then constructed at the this point.

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
xyref	reference values for x and y
cutcoeff	cut coefficients alpha, beta, gamma, delta
convenvvalue	function value of the convex envelope
success	buffer to store whether coefficients were successfully computed

Definition at line 3793 of file cons_bivariate.c.

References FALSE, generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB(), generateOrthogonal_lx_ly_Underestimator(), generateUnderestimatorParallelYFacets(), NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPexprCreate(), SCIPexprFreeDeep(), SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprtreeCopy(), SCIPexprtreeFree(), SCIPexprtreeGetVars(), SCIPexprtreePrintWithNames(), SCIPexprtreeSetVars(), SCIPexprtreeSubstituteVars(), SCIPgetMessagehdlr(), SCIPinfinity(), SCIPisFinite, SCIPisInfinity(), SCIPisPositive(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimator(), and generate1ConvexIndefiniteUnderestimatorAtBoundary().

generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB()

static SCIP_RETCODE generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_EXPRTREE *  f, SCIP_Real  xyref[2], SCIP_Real  cutcoeff[4], SCIP_Real *  convenvvalue, SCIP_Bool *  success  )

static

generates a linear underestimator for f(x,y) with f(x,y) being convex in x and convex in y but indefinite This is for the case where the cone of the concave directions is (R_+ x R_+) union (R_- x R_-). We consider two cases: a) the underestimating segmenent connects parallel facets b) the underestimating segmenent connects orthogonal facets where x=l_x, y=u_y and x=u_x, y=l_y We ensure that the parallel facets are the horizontal with y=l_y and y=u_y We compute the objective value of the two problems. The smaller objective value corresponds to the convex envelope. The supporting hyperplane is then constructed at the this point. Generates coefficients cutcoeff = (alpha, beta, gamma, delta), such that alpha * x + beta * y - delta <= gamma * f(x,y)

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
f	function f(x,y)
xyref	reference values for x and y
cutcoeff	cut coefficients alpha, beta, gamma, delta
convenvvalue	function value of the convex envelope
success	buffer to store whether coefficients were successfully computed

Definition at line 3988 of file cons_bivariate.c.

References FALSE, generate1ConvexIndefiniteUnderestimator(), generateOrthogonal_lx_uy_Underestimator(), generateUnderestimatorParallelYFacets(), NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPexprCreate(), SCIPexprFreeDeep(), SCIPexprintCompile(), SCIPexprintGrad(), SCIPexprtreeCopy(), SCIPexprtreeFree(), SCIPexprtreeGetVars(), SCIPexprtreePrintWithNames(), SCIPexprtreeSetVars(), SCIPexprtreeSubstituteVars(), SCIPgetMessagehdlr(), SCIPinfinity(), SCIPisFinite, SCIPisGE(), SCIPisInfinity(), SCIPisPositive(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimator(), and generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA().

generate1ConvexIndefiniteUnderestimator()

static SCIP_RETCODE generate1ConvexIndefiniteUnderestimator ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_CONS *  cons, SCIP_Real *  xyref, SCIP_ROW **  row  )

static

generates a linear underestimator for f(x,y) with f(x,y) being convex in x and convex in y but indefinite generate coefficients cutcoeff = (alpha, beta, gamma, delta), such that alpha * x + beta * y - delta <= gamma * f(x,y)

1. If the point lies on the boundary we apply the lifting technique.
2. If the point lies in the interior we check the pattern of the concave directions and compute the corresponding underestimators.

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
cons	constraint
xyref	reference values for x and y
row	storage for cut

Definition at line 4175 of file cons_bivariate.c.

References FALSE, generate1ConvexIndefiniteUnderestimatorAtBoundary(), generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternA(), generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB(), generateCut(), NULL, perturb(), REALABS, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_Bool, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPaddVarToRow(), SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPcreateEmptyRowCons(), SCIPdebugMsg, SCIPexprintHessianDense(), SCIPexprtreeGetVars(), SCIPinfinity(), SCIPisFeasEQ(), SCIPisFinite, SCIPisInfinity(), SCIPisPositive(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by generate1ConvexIndefiniteUnderestimatorInTheInteriorPatternB(), generateCut(), and SCIP_DECL_CONSINITLP().

generateCut()

static SCIP_RETCODE generateCut ( SCIP *  scip, SCIP_EXPRINT *  exprinterpreter, SCIP_CONS *  cons, SCIP_SOL *  sol, SCIP_SIDETYPE  violside, SCIP_Real  cutmaxrange, SCIP_ROW **  row  )

static

generates a cut

Parameters

scip	SCIP data structure
exprinterpreter	expressions interpreter
cons	constraint
sol	solution to separate, or NULL if LP solution should be used
violside	for which side of constraint we want to generate a cut
cutmaxrange	bound on cut coef range
row	storage for cut

Definition at line 4321 of file cons_bivariate.c.

References FALSE, generate1ConvexIndefiniteUnderestimator(), generateConvexConcaveEstimator(), generateLinearizationCut(), generateOverestimatingHyperplaneCut(), isConvexLocal(), MAX, MIN, NULL, REALABS, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPaddVarToRow(), SCIPchgRowLhs(), SCIPchgRowRhs(), SCIPcolGetVar(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebug, SCIPdebugMsg, SCIPdebugMsgPrint, SCIPdebugPrintCons, SCIPexprtreeGetVars(), SCIPgetRowMaxCoef(), SCIPgetRowMinCoef(), SCIPgetSolVal(), SCIPisEQ(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisInfinity(), SCIPprintRow(), SCIPreleaseRow(), SCIProwGetCols(), SCIProwGetLhs(), SCIProwGetNNonz(), SCIProwGetRhs(), SCIProwGetVals(), SCIProwIsLocal(), SCIPvarGetLbGlobal(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbGlobal(), and SCIPvarGetUbLocal().

Referenced by generate1ConvexIndefiniteUnderestimator(), and separatePoint().

isConvexLocal()

static SCIP_Bool isConvexLocal ( SCIP *  scip, SCIP_CONS *  cons, SCIP_SIDETYPE  side  )

static

returns whether one side of a constraint function is convex w.r.t. local bounds i.e., if side == RIGHT, then returns whether constraint function is convex w.r.t. local bounds and if side == LEFT, then returns whether constraint function is concave w.r.t. local bounds

Parameters

scip	SCIP data structure
cons	constraint
side	constraint side to consider

Definition at line 4523 of file cons_bivariate.c.

References FALSE, NULL, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPcolGetVar(), SCIPconsGetData(), SCIPexprtreeGetVars(), SCIPexprtreePrint(), SCIPgetMessagehdlr(), SCIPgetSolVal(), SCIPinfoMessage(), SCIPisEQ(), SCIPisInfinity(), SCIProwGetCols(), SCIProwGetLhs(), SCIProwGetNNonz(), SCIProwGetRhs(), SCIProwGetVals(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), and separatePoint().

Referenced by generateCut(), and separatePoint().

separatePoint()

static SCIP_RETCODE separatePoint ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, int  nusefulconss, SCIP_SOL *  sol, 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	quadratic 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
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 4624 of file cons_bivariate.c.

References FALSE, generateCut(), isConvexLocal(), MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DECL_EVENTEXEC(), SCIP_DIDNOTFIND, SCIP_FEASIBLE, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIP_SEPARATED, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPABORT, SCIPaddCut(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebug, SCIPdebugMsg, SCIPepsilon(), SCIPerrorMessage, SCIPfeastol(), SCIPgetRelaxFeastolFactor(), SCIPgetRowLPFeasibility(), SCIPgetRowMaxCoef(), SCIPgetRowSolFeasibility(), SCIPisCutApplicable(), SCIPisGT(), SCIPmarkRowNotRemovableLocal(), SCIPreleaseRow(), SCIProwGetLhs(), and SCIProwGetRhs().

Referenced by enforceConstraint(), isConvexLocal(), SCIP_DECL_CONSSEPALP(), and SCIP_DECL_CONSSEPASOL().

SCIP_DECL_EVENTEXEC() [3/3]

static SCIP_DECL_EVENTEXEC ( processNewSolutionEvent  )

static

processes the event that a new primal solution has been found adds linearizations of all-convex constraints to the cutpool

Definition at line 4766 of file cons_bivariate.c.

References generateLinearizationCut(), NULL, registerBranchingVariables(), SCIP_BIVAR_ALLCONVEX, SCIP_CALL, SCIP_EVENTTYPE_FORMAT, SCIP_EVENTTYPE_SOLFOUND, SCIP_OKAY, SCIP_Real, SCIPaddPoolCut(), SCIPconsGetData(), SCIPconshdlrGetConss(), SCIPconshdlrGetData(), SCIPconshdlrGetNConss(), SCIPconsIsLocal(), SCIPdebugMsg, SCIPeventGetSol(), SCIPeventGetType(), SCIPexprtreeGetVars(), SCIPgetSolVals(), SCIPheurGetName(), SCIPisInfinity(), SCIPreleaseRow(), SCIProwIsLocal(), SCIPsolGetHeur(), and TRUE.

registerBranchingVariables()

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

static

registers unfixed variables in nonlinear terms of violated constraints as external branching candidates We score the variables by their gap between the convex envelope and the bivariate function in the current (x,y). This value is given by the constraint violation, since we assume that cuts have been generated which support the convex envelope in the LP.

Parameters

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

Definition at line 4846 of file cons_bivariate.c.

References NULL, registerLargeRelaxValueVariableForBranching(), SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIPaddExternBranchCand(), SCIPconsGetData(), SCIPconsGetName(), SCIPdebugMsg, SCIPexprtreeGetVars(), SCIPisEQ(), SCIPisFeasZero(), SCIPvarGetLbLocal(), SCIPvarGetName(), and SCIPvarGetUbLocal().

Referenced by enforceConstraint(), and SCIP_DECL_EVENTEXEC().

registerLargeRelaxValueVariableForBranching()

static SCIP_RETCODE registerLargeRelaxValueVariableForBranching ( SCIP *  scip, SCIP_CONS **  conss, int  nconss, SCIP_SOL *  sol, SCIP_VAR **  brvar  )

static

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

Parameters

scip	SCIP data structure
conss	constraints
nconss	number of constraints
sol	solution to enforce (NULL for the LP solution)
brvar	buffer to store branching variable

Definition at line 4957 of file cons_bivariate.c.

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

Referenced by enforceConstraint(), and registerBranchingVariables().

enforceViolatedFixedNonlinear()

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

static

enforces violated bivariate constraints where both nonlinear variables can be assumed to be fixed apply a bound change to the remaining linear variable, or recognizing infeasibility

Parameters

scip	SCIP data structure
conss	constraints
nconss	number of constraints
reduceddom	whether a domain has been reduced
infeasible	whether we detected infeasibility

Definition at line 5015 of file cons_bivariate.c.

References FALSE, NULL, propagateBoundsTightenVar(), SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPdebugMsg, SCIPevalExprtreeLocalBounds(), SCIPfeastol(), SCIPinfinity(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPintervalIsEmpty(), SCIPisFeasGT(), SCIPisFeasLT(), SCIPisGT(), SCIPisInfinity(), SCIPisZero(), SCIPtightenVarLb(), SCIPtightenVarUb(), SCIPvarGetName(), and TRUE.

Referenced by enforceConstraint(), and registerLargeRelaxValueVariableForBranching().

propagateBoundsTightenVar()

static SCIP_RETCODE propagateBoundsTightenVar ( SCIP *  scip, SCIP_VAR *  var, SCIP_INTERVAL  bounds, SCIP_CONS *  cons, SCIP_RESULT *  result, int *  nchgbds  )

static

tightens bounds on a variable to given interval

Parameters

scip	SCIP data structure
var	variable which bounds to tighten
bounds	new bounds
cons	constraint that is propagated
result	pointer where to update the result of the propagation call
nchgbds	buffer where to add the the number of changed bounds

Definition at line 5142 of file cons_bivariate.c.

References FALSE, NULL, propagateBoundsCons(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_OKAY, SCIP_Real, SCIP_REDUCEDDOM, SCIP_VARSTATUS_MULTAGGR, SCIPadjustedVarLb(), SCIPconsGetName(), SCIPdebugMsg, SCIPinfinity(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPintervalIsEmpty(), SCIPintervalIsNegativeInfinity(), SCIPintervalIsPositiveInfinity(), SCIPisInfinity(), SCIPtightenVarLb(), SCIPtightenVarUb(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetStatus(), and SCIPvarGetUbLocal().

Referenced by enforceViolatedFixedNonlinear(), propagateBounds(), and propagateBoundsCons().

propagateBoundsCons()

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

static

tightens bounds of z in a single bivariate constraint checks for redundancy and infeasibility

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 5214 of file cons_bivariate.c.

References FALSE, infty2infty, INTERVALINFTY, MAX, MIN, NULL, propagateBounds(), propagateBoundsTightenVar(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_DIDNOTRUN, SCIP_OKAY, SCIP_SUCCESS, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebugMsg, SCIPepsilon(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphTightenNodeBounds(), SCIPinfinity(), SCIPinProbing(), SCIPintervalAdd(), SCIPintervalAreDisjoint(), SCIPintervalDivScalar(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPintervalIsEmpty(), SCIPintervalIsSubsetEQ(), SCIPintervalMulScalar(), SCIPintervalSet(), SCIPintervalSetBounds(), SCIPintervalSub(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), and TRUE.

Referenced by propagateBounds(), and propagateBoundsTightenVar().

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 5330 of file cons_bivariate.c.

References FALSE, INTERVALINFTY, NULL, propagateBoundsCons(), propagateBoundsTightenVar(), proposeFeasibleSolution(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_DIDNOTRUN, SCIP_OKAY, SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsDeleted(), SCIPconsIsEnabled(), SCIPconsIsMarkedPropagate(), SCIPdebugMsg, SCIPdelConsLocal(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNVars(), SCIPexprgraphGetVarNodes(), SCIPexprgraphGetVars(), SCIPexprgraphPropagateNodeBounds(), SCIPexprgraphPropagateVarBounds(), SCIPinProbing(), SCIPunmarkConsPropagate(), and TRUE.

Referenced by enforceConstraint(), propagateBoundsCons(), SCIP_DECL_CONSENFOPS(), SCIP_DECL_CONSPRESOL(), and SCIP_DECL_CONSPROP().

proposeFeasibleSolution()

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 bivariate constraint is either feasible or can be made feasible by moving the 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 5475 of file cons_bivariate.c.

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

Referenced by propagateBounds(), and SCIP_DECL_CONSCHECK().

createConsFromQuadTerm()

static SCIP_RETCODE createConsFromQuadTerm ( SCIP *  scip, SCIP_CONS *  srccons, SCIP_CONS **  cons, const char *  name, SCIP_VAR *  x, SCIP_VAR *  y, SCIP_VAR *  z, SCIP_Real  coefxx, SCIP_Real  coefx, SCIP_Real  coefyy, SCIP_Real  coefy, SCIP_Real  coefxy, SCIP_Real  coefz, SCIP_Real  lhs, SCIP_Real  rhs  )

static

creates bivariate constraint from quadratic constraint data of the form lhs <= xsqrcoef * x^2 + xlincoef * x + ysqrcoef * y^2 + ylincoef * y + bilincoef * x*y + zcoef * z <= rhs

Parameters

scip	SCIP data structure
srccons	source constraint to take attributes from
cons	pointer to store new constraint
name	name of new constraint
x	first nonlinear variable
y	second nonlinear variable
z	linear variable, can be NULL
coefxx	coefficient of x^2
coefx	coefficient of x
coefyy	coefficient of y^2
coefy	coefficient of y
coefxy	coefficient of x*y
coefz	coefficient of z
lhs	left-hand-side
rhs	right-hand-side

Definition at line 5630 of file cons_bivariate.c.

References SCIP_QuadElement::coef, createExprtreeFromMonomial(), SCIP_QuadElement::idx1, SCIP_QuadElement::idx2, NULL, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_CALL, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsBivariate(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPexprCreate(), SCIPexprCreateQuadratic(), SCIPexprtreeCreate(), SCIPexprtreeFree(), SCIPexprtreeSetVars(), and SCIPisLE().

Referenced by proposeFeasibleSolution(), and SCIP_DECL_QUADCONSUPGD().

createExprtreeFromMonomial()

static SCIP_RETCODE createExprtreeFromMonomial ( SCIP *  scip, SCIP_VAR *  x, SCIP_VAR *  y, SCIP_Real  coef, SCIP_Real  p, SCIP_Real  q, SCIP_EXPRTREE **  exprtree, SCIP_Real *  mult, SCIP_BIVAR_CONVEXITY *  convextype  )

static

creates expression tree for monomial of the form coef * x^p * y^q with x >= 0 and y >= 0 and checks its convexity type

Parameters

scip	SCIP data structure
x	first variable
y	second variable
coef	monomial coefficient
p	exponent of x
q	exponent of y
exprtree	buffer to store pointer to expression tree
mult	buffer to store multiplicator for generated expression tree
convextype	buffer to store convexity type of expression tree

Definition at line 5796 of file cons_bivariate.c.

References createConsFromMonomial(), FALSE, NULL, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_BIVAR_UNKNOWN, SCIP_Bool, SCIP_CALL, SCIP_EXPR_VARIDX, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPexprCreate(), SCIPexprCreateMonomial(), SCIPexprCreatePolynomial(), SCIPexprtreeCreate(), SCIPexprtreeSetVars(), SCIPisZero(), and TRUE.

Referenced by createConsFromMonomial(), and createConsFromQuadTerm().

createConsFromMonomial()

static SCIP_RETCODE createConsFromMonomial ( SCIP *  scip, SCIP_CONS *  srccons, SCIP_CONS **  cons, const char *  name, SCIP_VAR *  x, SCIP_VAR *  y, SCIP_VAR *  z, SCIP_Real  coef, SCIP_Real  p, SCIP_Real  q, SCIP_Real  zcoef, SCIP_Real  lhs, SCIP_Real  rhs  )

static

creates bivariate constraint from monomial of the form coef * x^p * y^q with x >= 0 and y >= 0 lhs <= coef * x^p * y^q + zcoef * z <= rhs

Parameters

scip	SCIP data structure
srccons	source constraint to take attributes from, or NULL
cons	pointer to store new constraint
name	name of new constraint
x	first nonlinear variable
y	second nonlinear variable
z	linear variable, can be NULL
coef	monomial coefficient
p	exponent of x
q	exponent of y
zcoef	coefficient of z
lhs	left-hand-side
rhs	right-hand-side

Definition at line 5913 of file cons_bivariate.c.

References createExprtreeFromMonomial(), enforceConstraint(), FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsBivariate(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPexprtreeFree(), SCIPisLE(), SCIPisZero(), SCIPvarGetName(), and TRUE.

Referenced by createExprtreeFromMonomial(), and SCIP_DECL_EXPRGRAPHNODEREFORM().

enforceConstraint()

static SCIP_RETCODE enforceConstraint ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, int  nusefulconss, SCIP_SOL *  sol, SCIP_Bool  solinfeasible, SCIP_RESULT *  result  )

static

helper function to enforce constraints

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints to process
nconss	number of constraints
nusefulconss	number of useful (non-obsolete) constraints to process
sol	solution to enforce (NULL for the LP solution)
solinfeasible	was the solution already declared infeasible by a constraint handler?
result	pointer to store the result of the enforcing call

Definition at line 5986 of file cons_bivariate.c.

References computeViolations(), enforceViolatedFixedNonlinear(), MAX, MIN, NULL, propagateBounds(), registerBranchingVariables(), registerLargeRelaxValueVariableForBranching(), SCIP_Bool, SCIP_BRANCHED, SCIP_CALL, SCIP_CUTOFF, SCIP_DECL_CONSHDLRCOPY(), SCIP_FEASIBLE, SCIP_INFEASIBLE, SCIP_OKAY, SCIP_Real, SCIP_REDUCEDDOM, SCIP_SEPARATED, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPcreateChild(), SCIPdebugMessage, SCIPdebugMsg, SCIPepsilon(), SCIPfeastol(), SCIPgetCurrentNode(), SCIPgetRelaxFeastolFactor(), SCIPgetSolVal(), SCIPisGT(), SCIPisStopped(), SCIPnodeGetEstimate(), SCIPvarGetName(), SCIPwarningMessage(), separatePoint(), and TRUE.

Referenced by createConsFromMonomial(), SCIP_DECL_CONSENFOLP(), and SCIP_DECL_CONSENFORELAX().

SCIP_DECL_CONSHDLRCOPY()

static SCIP_DECL_CONSHDLRCOPY ( conshdlrCopyBivariate  )

static

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

Definition at line 6163 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSFREE(), SCIP_OKAY, SCIPincludeConshdlrBivariate(), and TRUE.

Referenced by enforceConstraint().

SCIP_DECL_CONSFREE()

static SCIP_DECL_CONSFREE ( consFreeBivariate  )

static

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

Definition at line 6179 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSINIT(), SCIP_OKAY, SCIPconshdlrGetData(), SCIPexprgraphFree(), SCIPexprgraphGetNVars(), SCIPexprintFree(), and SCIPfreeBlockMemory.

Referenced by SCIP_DECL_CONSHDLRCOPY().

SCIP_DECL_CONSINIT()

static SCIP_DECL_CONSINIT ( consInitBivariate  )

static

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

Definition at line 6207 of file cons_bivariate.c.

References NULL, SCIP_DECL_CONSEXIT(), SCIP_OKAY, SCIPconshdlrGetData(), and SCIPfindHeur().

Referenced by SCIP_DECL_CONSFREE().

SCIP_DECL_CONSEXIT()

static SCIP_DECL_CONSEXIT ( consExitBivariate  )

static

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

Definition at line 6225 of file cons_bivariate.c.

References NULL, SCIP_DECL_CONSINITPRE(), SCIP_OKAY, and SCIPconshdlrGetData().

Referenced by SCIP_DECL_CONSINIT().

SCIP_DECL_CONSINITPRE()

static SCIP_DECL_CONSINITPRE ( consInitpreBivariate  )

static

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

Definition at line 6243 of file cons_bivariate.c.

References FALSE, NULL, SCIP_CALL, SCIP_DECL_CONSEXITPRE(), SCIP_OKAY, SCIPconsGetData(), and SCIPmarkConsPropagate().

Referenced by SCIP_DECL_CONSEXIT().

SCIP_DECL_CONSEXITPRE()

static SCIP_DECL_CONSEXITPRE ( consExitpreBivariate  )

static

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

Definition at line 6269 of file cons_bivariate.c.

References NULL, removeFixedNonlinearVariables(), removeFixedVariables(), SCIP_Bool, SCIP_CALL, SCIP_DECL_CONSINITSOL(), SCIP_OKAY, SCIP_VARSTATUS_MULTAGGR, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPconsIsAdded(), SCIPenableNLP(), SCIPexprtreeGetNVars(), SCIPvarGetStatus(), and SCIPvarIsActive().

Referenced by SCIP_DECL_CONSINITPRE().

SCIP_DECL_CONSINITSOL()

static SCIP_DECL_CONSINITSOL ( consInitsolBivariate  )

static

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

Definition at line 6320 of file cons_bivariate.c.

References BMSclearMemoryArray, CONSHDLR_NAME, initSepaData(), NULL, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_BIVAR_UNKNOWN, SCIP_CALL, SCIP_DECL_CONSEXITSOL(), SCIP_EVENTTYPE_SOLFOUND, SCIP_EXPRCURV_CONVEX, SCIP_EXPRCURV_UNKNOWN, SCIP_OKAY, SCIP_VERBLEVEL_HIGH, SCIPaddNlRow(), SCIPcatchEvent(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsEnabled(), SCIPcreateNlRow(), SCIPdebugMsg, SCIPfindEventhdlr(), SCIPisInfinity(), SCIPisNLPConstructed(), SCIPreleaseNlRow(), SCIPvarGetName(), SCIPvarGetNLocksDown(), SCIPverbMessage(), and TRUE.

Referenced by SCIP_DECL_CONSEXITPRE().

SCIP_DECL_CONSEXITSOL()

static SCIP_DECL_CONSEXITSOL ( consExitsolBivariate  )

static

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

Definition at line 6450 of file cons_bivariate.c.

References CONSHDLR_NAME, freeSepaData(), NULL, SCIP_CALL, SCIP_DECL_CONSDELETE(), SCIP_EVENTTYPE_SOLFOUND, SCIP_OKAY, SCIPconshdlrGetData(), SCIPdropEvent(), and SCIPfindEventhdlr().

Referenced by SCIP_DECL_CONSINITSOL().

SCIP_DECL_CONSDELETE()

static SCIP_DECL_CONSDELETE ( consDeleteBivariate  )

static

frees specific constraint data

Definition at line 6485 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSTRANS(), SCIP_OKAY, SCIPconshdlrGetData(), SCIPexprtreeFree(), and SCIPfreeBlockMemory.

Referenced by SCIP_DECL_CONSEXITSOL().

SCIP_DECL_CONSTRANS()

static SCIP_DECL_CONSTRANS ( consTransBivariate  )

static

transforms constraint data into data belonging to the transformed problem

Definition at line 6516 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSINITLP(), SCIP_OKAY, SCIPblkmem(), SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateCons(), SCIPduplicateBlockMemory, SCIPexprtreeCopy(), SCIPexprtreeGetVars(), SCIPexprtreeSetVars(), SCIPgetTransformedVar(), and SCIPgetTransformedVars().

Referenced by SCIP_DECL_CONSDELETE().

SCIP_DECL_CONSINITLP()

static SCIP_DECL_CONSINITLP ( consInitlpBivariate  )

static

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

Definition at line 6550 of file cons_bivariate.c.

References FALSE, generate1ConvexIndefiniteUnderestimator(), generateConvexConcaveEstimator(), generateLinearizationCut(), generateOverestimatingHyperplaneCut(), INITLPMAXVARVAL, MAX, MIN, NULL, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_Bool, SCIP_CALL, SCIP_DECL_CONSSEPALP(), SCIP_OKAY, SCIP_Real, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPaddCut(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebug, SCIPdebugMsg, SCIPexprintCompile(), SCIPexprtreeGetInterpreterData(), SCIPexprtreeGetVars(), SCIPgetRowMaxCoef(), SCIPgetRowMinCoef(), SCIPisInfinity(), SCIPisNegative(), SCIPisPositive(), SCIPisZero(), SCIPprintRow(), SCIPreleaseRow(), SCIProwGetLhs(), SCIProwGetRhs(), SCIPvarGetLbGlobal(), SCIPvarGetName(), SCIPvarGetUbGlobal(), SCIPwarningMessage(), and TRUE.

Referenced by SCIP_DECL_CONSTRANS().

SCIP_DECL_CONSSEPALP()

static SCIP_DECL_CONSSEPALP ( consSepalpBivariate  )

static

separation method of constraint handler for LP solutions

Definition at line 6771 of file cons_bivariate.c.

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

Referenced by SCIP_DECL_CONSINITLP().

SCIP_DECL_CONSSEPASOL()

static SCIP_DECL_CONSSEPASOL ( consSepasolBivariate  )

static

separation method of constraint handler for arbitrary primal solutions

Definition at line 6799 of file cons_bivariate.c.

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

Referenced by SCIP_DECL_CONSSEPALP().

SCIP_DECL_CONSENFOLP()

static SCIP_DECL_CONSENFOLP ( consEnfolpBivariate  )

static

constraint enforcing method of constraint handler for LP solutions

Definition at line 6826 of file cons_bivariate.c.

References enforceConstraint(), NULL, SCIP_CALL, SCIP_DECL_CONSENFORELAX(), and SCIP_OKAY.

Referenced by SCIP_DECL_CONSSEPASOL().

SCIP_DECL_CONSENFORELAX()

static SCIP_DECL_CONSENFORELAX ( consEnforelaxBivariate  )

static

constraint enforcing method of constraint handler for relaxation solutions

Definition at line 6835 of file cons_bivariate.c.

References enforceConstraint(), SCIP_CALL, SCIP_DECL_CONSENFOPS(), and SCIP_OKAY.

Referenced by SCIP_DECL_CONSENFOLP().

SCIP_DECL_CONSENFOPS()

static SCIP_DECL_CONSENFOPS ( consEnfopsBivariate  )

static

constraint enforcing method of constraint handler for pseudo solutions

Definition at line 6845 of file cons_bivariate.c.

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

Referenced by SCIP_DECL_CONSENFORELAX().

SCIP_DECL_CONSCHECK()

static SCIP_DECL_CONSCHECK ( consCheckBivariate  )

static

feasibility check method of constraint handler for integral solutions

Definition at line 6926 of file cons_bivariate.c.

References computeViolation(), FALSE, NULL, proposeFeasibleSolution(), REALABS, SCIP_Bool, SCIP_CALL, SCIP_DECL_CONSPROP(), SCIP_FEASIBLE, SCIP_INFEASIBLE, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPfeastol(), SCIPinfoMessage(), SCIPisGT(), SCIPisInfinity(), SCIPprintCons(), and SCIPupdateStartpointHeurSubNlp().

Referenced by SCIP_DECL_CONSENFOPS().

SCIP_DECL_CONSPROP()

static SCIP_DECL_CONSPROP ( consPropBivariate  )

static

domain propagation method of constraint handler

Definition at line 7022 of file cons_bivariate.c.

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

Referenced by SCIP_DECL_CONSCHECK().

SCIP_DECL_CONSPRESOL()

static SCIP_DECL_CONSPRESOL ( consPresolBivariate  )

static

presolving method of constraint handler

Definition at line 7039 of file cons_bivariate.c.

References FALSE, NULL, propagateBounds(), removeFixedNonlinearVariables(), removeFixedVariables(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DECL_CONSLOCK(), SCIP_DIDNOTFIND, SCIP_DIDNOTRUN, SCIP_OKAY, SCIP_REDUCEDDOM, SCIP_SUCCESS, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebugMsg, SCIPdebugPrintCons, and SCIPdelCons().

Referenced by SCIP_DECL_CONSPROP().

SCIP_DECL_CONSLOCK()

static SCIP_DECL_CONSLOCK ( consLockBivariate  )

static

variable rounding lock method of constraint handler

Definition at line 7116 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSACTIVE(), SCIP_OKAY, SCIPaddVarLocks(), SCIPconsGetData(), and SCIPisInfinity().

Referenced by SCIP_DECL_CONSPRESOL().

SCIP_DECL_CONSACTIVE()

static SCIP_DECL_CONSACTIVE ( consActiveBivariate  )

static

constraint activation notification method of constraint handler

Definition at line 7158 of file cons_bivariate.c.

References NULL, SCIP_Bool, SCIP_CALL, SCIP_DECL_CONSDEACTIVE(), SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsTransformed(), SCIPdebugMsg, SCIPexprgraphAddExprtreeSum(), SCIPexprtreeGetVars(), SCIPmarkDoNotMultaggrVar(), and SCIPvarIsActive().

Referenced by SCIP_DECL_CONSLOCK().

SCIP_DECL_CONSDEACTIVE()

static SCIP_DECL_CONSDEACTIVE ( consDeactiveBivariate  )

static

constraint deactivation notification method of constraint handler

Definition at line 7202 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSENABLE(), SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsTransformed(), SCIPdebugMsg, and SCIPexprgraphReleaseNode().

Referenced by SCIP_DECL_CONSACTIVE().

SCIP_DECL_CONSENABLE()

static SCIP_DECL_CONSENABLE ( consEnableBivariate  )

static

constraint enabling notification method of constraint handler

Definition at line 7229 of file cons_bivariate.c.

References catchLinearVarEvents(), NULL, SCIP_CALL, SCIP_DECL_CONSDISABLE(), SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPconsIsTransformed(), SCIPdebugMsg, and SCIPexprgraphEnableNode().

Referenced by SCIP_DECL_CONSDEACTIVE().

SCIP_DECL_CONSDISABLE()

static SCIP_DECL_CONSDISABLE ( consDisableBivariate  )

static

constraint disabling notification method of constraint handler

Definition at line 7261 of file cons_bivariate.c.

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

Referenced by SCIP_DECL_CONSENABLE().

SCIP_DECL_CONSPRINT()

static SCIP_DECL_CONSPRINT ( consPrintBivariate  )

static

constraint display method of constraint handler

Definition at line 7291 of file cons_bivariate.c.

References NULL, SCIP_BIVAR_1CONVEX_INDEFINITE, SCIP_BIVAR_ALLCONVEX, SCIP_BIVAR_CONVEX_CONCAVE, SCIP_CALL, SCIP_DECL_CONSCOPY(), SCIP_OKAY, SCIPconsGetData(), SCIPexprtreePrintWithNames(), SCIPgetMessagehdlr(), SCIPinfoMessage(), SCIPisEQ(), SCIPisInfinity(), SCIPwriteVarName(), and TRUE.

Referenced by SCIP_DECL_CONSDISABLE().

SCIP_DECL_CONSCOPY()

static SCIP_DECL_CONSCOPY ( consCopyBivariate  )

static

constraint copying method of constraint handler

Definition at line 7354 of file cons_bivariate.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSGETVARS(), SCIP_OKAY, SCIPblkmem(), SCIPconsGetData(), SCIPconsGetName(), SCIPcreateConsBivariate(), SCIPexprtreeCopy(), SCIPexprtreeFree(), SCIPexprtreeGetVars(), SCIPexprtreeSetVars(), SCIPgetVarCopy(), and TRUE.

Referenced by SCIP_DECL_CONSPRINT().

SCIP_DECL_CONSGETVARS()

static SCIP_DECL_CONSGETVARS ( consGetVarsBivariate  )

static

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

Definition at line 7420 of file cons_bivariate.c.

References FALSE, NULL, SCIP_DECL_CONSGETNVARS(), SCIP_OKAY, SCIPconsGetData(), SCIPexprtreeGetVars(), and TRUE.

Referenced by SCIP_DECL_CONSCOPY().

SCIP_DECL_CONSGETNVARS()

static SCIP_DECL_CONSGETNVARS ( consGetNVarsBivariate  )

static

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

Definition at line 7446 of file cons_bivariate.c.

References SCIP_DECL_QUADCONSUPGD(), SCIP_OKAY, and TRUE.

Referenced by SCIP_DECL_CONSGETVARS().

SCIP_DECL_QUADCONSUPGD()

static SCIP_DECL_QUADCONSUPGD ( quadconsUpgdBivariate  )

static

tries to upgrade a quadratic constraint into a bivariate constraint

Definition at line 7461 of file cons_bivariate.c.

References BMSclearMemoryArray, SCIP_BilinTerm::coef, createConsFromQuadTerm(), FALSE, SCIP_QuadVarTerm::lincoef, NULL, SCIP_Bool, SCIP_CALL, SCIP_DECL_EXPRGRAPHNODEREFORM(), SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_PRESOLTIMING_FAST, SCIP_PRESOLTIMING_MEDIUM, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddBilinTermQuadratic(), SCIPaddLinearVarQuadratic(), SCIPaddQuadVarLinearCoefQuadratic(), SCIPaddQuadVarQuadratic(), SCIPaddSquareCoefQuadratic(), SCIPaddVar(), SCIPallocBufferArray, SCIPcheckCurvatureQuadratic(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPcreateConsQuadratic(), SCIPcreateConsQuadratic2(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugGetSolVal, SCIPdebugPrintCons, SCIPfindQuadVarTermQuadratic(), SCIPfreeBufferArray, SCIPgetBilinTermsQuadratic(), SCIPgetCoefsLinearVarsQuadratic(), SCIPgetLhsQuadratic(), SCIPgetLinearVarsQuadratic(), SCIPgetNBilinTermsQuadratic(), SCIPgetNLinearVarsQuadratic(), SCIPgetNQuadVarTermsQuadratic(), SCIPgetQuadVarTermsQuadratic(), SCIPgetRhsQuadratic(), SCIPinfinity(), SCIPisConcaveQuadratic(), SCIPisConvexQuadratic(), SCIPisInfinity(), SCIPreleaseCons(), SCIPreleaseVar(), SCIPsetConsChecked(), SCIPsetConsEnforced(), SCIPsnprintf(), SCIP_QuadVarTerm::sqrcoef, TRUE, SCIP_QuadVarTerm::var, SCIP_BilinTerm::var1, and SCIP_BilinTerm::var2.

Referenced by SCIP_DECL_CONSGETNVARS().

SCIP_DECL_EXPRGRAPHNODEREFORM()

static SCIP_DECL_EXPRGRAPHNODEREFORM ( exprgraphnodeReformBivariate  )

static

tries to reformulate a expression graph node that is a monomial in two variables

Definition at line 7789 of file cons_bivariate.c.

References createConsFromMonomial(), NULL, SCIP_CALL, SCIP_EXPR_POLYNOMIAL, SCIP_EXPR_VARIDX, SCIP_EXPRCURV_UNKNOWN, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddCons(), SCIPaddVar(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugMsg, SCIPdebugPrintCons, SCIPexprGetMonomialCoef(), SCIPexprGetMonomialExponents(), SCIPexprGetMonomialNFactors(), SCIPexprgraphAddVars(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNodeChildren(), SCIPexprgraphGetNodeCurvature(), SCIPexprgraphGetNodeNChildren(), SCIPexprgraphGetNodeOperator(), SCIPexprgraphGetNodePolynomialConstant(), SCIPexprgraphGetNodePolynomialMonomials(), SCIPexprgraphGetNodePolynomialNMonomials(), SCIPexprgraphGetNodeVal(), SCIPexprgraphGetNodeVar(), SCIPexprgraphSetVarNodeValue(), SCIPincludeConshdlrBivariate(), SCIPisEQ(), SCIPisNegative(), SCIPreleaseCons(), SCIPreleaseVar(), SCIPsnprintf(), SCIPvarGetLbGlobal(), and TRUE.

Referenced by SCIP_DECL_QUADCONSUPGD().