cons_abspower.c File Reference

Detailed Description

Constraint handler for absolute power constraints \(\textrm{lhs} \leq \textrm{sign}(x+a) |x+a|^n + c z \leq \textrm{rhs}\).

Author

Stefan Vigerske

Definition in file cons_abspower.c.

#include <assert.h>
#include <string.h>
#include <ctype.h>
#include "scip/cons_abspower.h"
#include "scip/cons_nonlinear.h"
#include "scip/cons_indicator.h"
#include "scip/cons_quadratic.h"
#include "scip/cons_linear.h"
#include "scip/cons_varbound.h"
#include "scip/intervalarith.h"
#include "scip/heur_subnlp.h"
#include "scip/heur_trysol.h"
#include "scip/debug.h"

Go to the source code of this file.

Macros
#define	CONSHDLR_NAME   "abspower"
#define	CONSHDLR_DESC   "constraint handler for absolute power constraints lhs <= sign(x+offset)abs(x+offset)^n + c*z <= rhs"
#define	CONSHDLR_SEPAPRIORITY   0
#define	CONSHDLR_ENFOPRIORITY   -30
#define	CONSHDLR_CHECKPRIORITY   -3500000
#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 | SCIP_PRESOLTIMING_MEDIUM
#define	CONSHDLR_PROP_TIMING   SCIP_PROPTIMING_ALWAYS
#define	QUADCONSUPGD_PRIORITY   50000
#define	NONLINCONSUPGD_PRIORITY   50000
#define	PROPVARTOL   SCIPepsilon(scip)
#define	PROPSIDETOL   SCIPepsilon(scip)
#define	INITLPMAXVARVAL   1000.0
#define	DECL_MYPOW(x)   SCIP_Real x (SCIP_Real base, SCIP_Real exponent)
#define	SIGN(x)   ((x) >= 0.0 ? 1.0 : -1.0)
#define	ROOTS_KNOWN   10

Typedefs
typedef enum Proprule	PROPRULE

Enumerations
enum	Proprule {   PROPRULE_1,   PROPRULE_2,   PROPRULE_3,   PROPRULE_4,   PROPRULE_INVALID,   PROPRULE_INVALID = 0,   PROPRULE_1 = 1,   PROPRULE_2 = 2,   PROPRULE_3 = 3,   PROPRULE_4 = 4,   PROPRULE_1_CORETIMES = 1,   PROPRULE_2_EDGEFINDING = 2,   PROPRULE_3_TTEF = 3,   PROPRULE_1_RHS = 1,   PROPRULE_1_LHS = 2,   PROPRULE_1_RANGEDROW = 3,   PROPRULE_INVALID = 0,   PROPRULE_1,   PROPRULE_2,   PROPRULE_3,   PROPRULE_4,   PROPRULE_INVALID,   PROPRULE_1,   PROPRULE_2,   PROPRULE_3,   PROPRULE_4,   PROPRULE_0,   PROPRULE_1,   PROPRULE_INTLB,   PROPRULE_INTUB,   PROPRULE_INVALID }

Functions
static	DECL_MYPOW (square)
static	SCIP_DECL_EVENTEXEC (processVarEvent)
static SCIP_RETCODE	catchVarEvents (SCIP *scip, SCIP_EVENTHDLR *eventhdlr, SCIP_CONS *cons)
static SCIP_RETCODE	dropVarEvents (SCIP *scip, SCIP_EVENTHDLR *eventhdlr, SCIP_CONS *cons)
static	SCIP_DECL_HASHGETKEY (presolveFindDuplicatesGetKey)
static	SCIP_DECL_HASHKEYEQ (presolveFindDuplicatesKeyEQ)
static	SCIP_DECL_HASHKEYVAL (presolveFindDuplicatesKeyVal)
static	SCIP_DECL_HASHKEYEQ (presolveFindDuplicatesKeyEQ2)
static	SCIP_DECL_HASHKEYVAL (presolveFindDuplicatesKeyVal2)
static SCIP_RETCODE	presolveFindDuplicatesUpgradeCons (SCIP *scip, SCIP_CONS *cons1, SCIP_CONS *cons2, SCIP_Bool *infeas, int *nupgdconss, int *ndelconss, int *naggrvars)
static void	presolveFindDuplicatesSolveEquations (SCIP *scip, SCIP_Bool *infeas, SCIP_Real *xval, SCIP_Real *zval, SCIP_Real exponent, SCIP_Real xoffset1, SCIP_Real zcoef1, SCIP_Real rhs1, SCIP_Real xoffset2, SCIP_Real zcoef2, SCIP_Real rhs2)
static SCIP_RETCODE	presolveFindDuplicates (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, int *nupgdconss, int *ndelconss, int *naddconss, int *nfixedvars, int *naggrvars, SCIP_Bool *success, SCIP_Bool *infeas)
static SCIP_RETCODE	presolveDual (SCIP *scip, SCIP_CONS *cons, SCIP_Bool *cutoff, int *ndelconss, int *nfixedvars)
static SCIP_RETCODE	tightenBounds (SCIP *scip, SCIP_VAR *var, SCIP_INTERVAL bounds, SCIP_Bool force, SCIP_CONS *cons, SCIP_RESULT *result, int *nchgbds, int *nfixedvars, int *naddconss)
static void	computeBoundsZ (SCIP *scip, SCIP_CONS *cons, SCIP_INTERVAL xbnds, SCIP_INTERVAL *zbnds)
static void	computeBoundsX (SCIP *scip, SCIP_CONS *cons, SCIP_INTERVAL zbnds, SCIP_INTERVAL *xbnds)
static SCIP_RETCODE	checkFixedVariables (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, int *ndelconss, int *nupgdconss, int *nchgbds, int *nfixedvars, SCIP_RESULT *result)
static SCIP_Real	getGradientMaxElement (SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol)
static SCIP_RETCODE	computeViolation (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, SCIP_SOL *sol, SCIP_Real *viol, SCIP_Bool *solviolbounds)
static SCIP_RETCODE	computeViolations (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_SOL *sol, SCIP_Bool *solviolbounds, SCIP_CONS **maxviolcon)
static SCIP_Real	proposeBranchingPoint (SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol, int preferzero, SCIP_Bool branchminconverror)
static SCIP_RETCODE	registerBranchingCandidates (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_SOL *sol, int *nnotify)
static SCIP_RETCODE	registerLargeRelaxValueVariableForBranching (SCIP *scip, SCIP_CONS **conss, int nconss, SCIP_SOL *sol, SCIP_VAR **brvar)
static SCIP_RETCODE	resolvePropagation (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *infervar, PROPRULE proprule, SCIP_BOUNDTYPE boundtype, SCIP_BDCHGIDX *bdchgidx)
static SCIP_RETCODE	analyzeConflict (SCIP *scip, SCIP_CONS *cons, SCIP_VAR *infervar, PROPRULE proprule, SCIP_BOUNDTYPE boundtype)
static SCIP_RETCODE	propagateCons (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, SCIP_Bool canaddcons, SCIP_Bool *cutoff, int *nchgbds, int *naddconss)
static SCIP_RETCODE	addVarbound (SCIP *scip, SCIP_CONS *cons, SCIP_Bool addcons, SCIP_VAR *var, SCIP_VAR *vbdvar, SCIP_Real vbdcoef, SCIP_Real lhs, SCIP_Real rhs, SCIP_Bool *infeas, int *nbdchgs, int *naddconss)
static SCIP_RETCODE	propagateVarbounds (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS *cons, SCIP_Bool *infeas, int *nbdchgs, int *naddconss)
static SCIP_RETCODE	generateLinearizationCut (SCIP *scip, SCIP_ROW **row, SCIP_CONSHDLR *conshdlr, SCIP_Real refpoint, SCIP_Real exponent, SCIP_Real xoffset, SCIP_Real xmult, SCIP_Real zcoef, SCIP_Real rhs, SCIP_VAR *x, SCIP_VAR *z, SCIP_Bool islocal)
static SCIP_RETCODE	generateLinearizationCutProject (SCIP *scip, SCIP_ROW **row, SCIP_CONSHDLR *conshdlr, SCIP_Real xref, SCIP_Real zref, SCIP_Real xmin, SCIP_Real exponent, SCIP_Real xoffset, SCIP_Real xmult, SCIP_Real zcoef, SCIP_Real rhs, SCIP_VAR *x, SCIP_VAR *z, SCIP_Bool islocal)
static SCIP_RETCODE	generateSecantCut (SCIP *scip, SCIP_ROW **row, SCIP_CONSHDLR *conshdlr, SCIP_SOL *sol, SCIP_Real xlb, SCIP_Real xub, SCIP_Real exponent, SCIP_Real xoffset, DECL_MYPOW((*mypow)), SCIP_Real xmult, SCIP_Real zcoef, SCIP_Real rhs, SCIP_VAR *x, SCIP_VAR *z)
static SCIP_RETCODE	generateSecantCutNoCheck (SCIP *scip, SCIP_ROW **row, SCIP_CONSHDLR *conshdlr, SCIP_Real xlb, SCIP_Real xub, SCIP_Real exponent, SCIP_Real xoffset, DECL_MYPOW((*mypow)), SCIP_Real xmult, SCIP_Real zcoef, SCIP_Real rhs, SCIP_VAR *x, SCIP_VAR *z)
static SCIP_RETCODE	generateCut (SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol, SCIP_ROW **row, SCIP_Bool onlyinbounds)
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_Bool onlyinbounds, SCIP_Bool *success, SCIP_Bool *cutoff, 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	proposeFeasibleSolution (SCIP *scip, SCIP_CONSHDLR *conshdlr, SCIP_CONS **conss, int nconss, SCIP_SOL *sol)
static SCIP_RETCODE	createNlRow (SCIP *scip, SCIP_CONS *cons)
static	SCIP_DECL_QUADCONSUPGD (quadconsUpgdAbspower)
static	SCIP_DECL_NONLINCONSUPGD (nonlinconsUpgdAbspower)
static	SCIP_DECL_EXPRGRAPHNODEREFORM (exprgraphnodeReformAbspower)
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 (conshdlrCopyAbspower)
static	SCIP_DECL_CONSFREE (consFreeAbspower)
static	SCIP_DECL_CONSINIT (consInitAbspower)
static	SCIP_DECL_CONSEXIT (consExitAbspower)
static	SCIP_DECL_CONSINITPRE (consInitpreAbspower)
static	SCIP_DECL_CONSEXITPRE (consExitpreAbspower)
static	SCIP_DECL_CONSINITSOL (consInitsolAbspower)
static	SCIP_DECL_CONSEXITSOL (consExitsolAbspower)
static	SCIP_DECL_CONSDELETE (consDeleteAbspower)
static	SCIP_DECL_CONSTRANS (consTransAbspower)
static	SCIP_DECL_CONSINITLP (consInitlpAbspower)
static	SCIP_DECL_CONSSEPALP (consSepalpAbspower)
static	SCIP_DECL_CONSSEPASOL (consSepasolAbspower)
static	SCIP_DECL_CONSENFOLP (consEnfolpAbspower)
static	SCIP_DECL_CONSENFORELAX (consEnforelaxAbspower)
static	SCIP_DECL_CONSENFOPS (consEnfopsAbspower)
static	SCIP_DECL_CONSPROP (consPropAbspower)
static	SCIP_DECL_CONSPRESOL (consPresolAbspower)
static	SCIP_DECL_CONSRESPROP (consRespropAbspower)
static	SCIP_DECL_CONSLOCK (consLockAbspower)
static	SCIP_DECL_CONSACTIVE (consActiveAbspower)
static	SCIP_DECL_CONSENABLE (consEnableAbspower)
static	SCIP_DECL_CONSDISABLE (consDisableAbspower)
static	SCIP_DECL_CONSPRINT (consPrintAbspower)
static	SCIP_DECL_CONSCHECK (consCheckAbspower)
static	SCIP_DECL_CONSCOPY (consCopyAbspower)
static	SCIP_DECL_CONSPARSE (consParseAbspower)
static	SCIP_DECL_CONSGETVARS (consGetVarsAbspower)
static	SCIP_DECL_CONSGETNVARS (consGetNVarsAbspower)
SCIP_RETCODE	SCIPincludeConshdlrAbspower (SCIP *scip)
SCIP_RETCODE	SCIPcreateConsAbspower (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_VAR *x, SCIP_VAR *z, SCIP_Real exponent, SCIP_Real xoffset, 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	SCIPcreateConsBasicAbspower (SCIP *scip, SCIP_CONS **cons, const char *name, SCIP_VAR *x, SCIP_VAR *z, SCIP_Real exponent, SCIP_Real xoffset, SCIP_Real zcoef, SCIP_Real lhs, SCIP_Real rhs)
SCIP_RETCODE	SCIPgetNlRowAbspower (SCIP *scip, SCIP_CONS *cons, SCIP_NLROW **nlrow)
SCIP_VAR *	SCIPgetNonlinearVarAbspower (SCIP *scip, SCIP_CONS *cons)
SCIP_VAR *	SCIPgetLinearVarAbspower (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetExponentAbspower (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetOffsetAbspower (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetCoefLinearAbspower (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetLhsAbspower (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetRhsAbspower (SCIP *scip, SCIP_CONS *cons)
SCIP_Real	SCIPgetViolationAbspower (SCIP *scip, SCIP_CONS *cons, SCIP_SOL *sol)

Variables
static SCIP_Real	roots [ROOTS_KNOWN+1]

Macro Definition Documentation

CONSHDLR_NAME

#define CONSHDLR_NAME   "abspower"

Definition at line 39 of file cons_abspower.c.

Referenced by SCIP_DECL_CONSEXITSOL(), SCIP_DECL_CONSHDLRCOPY(), SCIP_DECL_CONSINITSOL(), SCIPcreateConsAbspower(), SCIPgetCoefLinearAbspower(), SCIPgetExponentAbspower(), SCIPgetLhsAbspower(), SCIPgetLinearVarAbspower(), SCIPgetNlRowAbspower(), SCIPgetNonlinearVarAbspower(), SCIPgetOffsetAbspower(), SCIPgetRhsAbspower(), SCIPgetViolationAbspower(), and SCIPincludeConshdlrAbspower().

CONSHDLR_DESC

#define CONSHDLR_DESC   "constraint handler for absolute power constraints lhs <= sign(x+offset)abs(x+offset)^n + c*z <= rhs"

Definition at line 40 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_SEPAPRIORITY

#define CONSHDLR_SEPAPRIORITY   0

priority of the constraint handler for separation

Definition at line 41 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_ENFOPRIORITY

#define CONSHDLR_ENFOPRIORITY   -30

priority of the constraint handler for constraint enforcing

Definition at line 42 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_CHECKPRIORITY

#define CONSHDLR_CHECKPRIORITY   -3500000

priority of the constraint handler for checking feasibility

Definition at line 43 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

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_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_PROPFREQ

#define CONSHDLR_PROPFREQ   1

frequency for propagating domains; zero means only preprocessing propagation

Definition at line 45 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

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_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

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_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_DELAYSEPA

#define CONSHDLR_DELAYSEPA   FALSE

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

Definition at line 50 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_DELAYPROP

#define CONSHDLR_DELAYPROP   FALSE

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

Definition at line 51 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_NEEDSCONS

#define CONSHDLR_NEEDSCONS   TRUE

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

Definition at line 52 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_PRESOLTIMING

#define CONSHDLR_PRESOLTIMING   SCIP_PRESOLTIMING_FAST | SCIP_PRESOLTIMING_MEDIUM

Definition at line 54 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

CONSHDLR_PROP_TIMING

#define CONSHDLR_PROP_TIMING   SCIP_PROPTIMING_ALWAYS

when should the constraint handlers propagation routines be called?

Definition at line 55 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

QUADCONSUPGD_PRIORITY

#define QUADCONSUPGD_PRIORITY   50000

priority of the constraint handler for upgrading of quadratic constraints

Definition at line 57 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

NONLINCONSUPGD_PRIORITY

#define NONLINCONSUPGD_PRIORITY   50000

priority of the constraint handler for upgrading of nonlinear constraints and reformulating expression graph nodes

Definition at line 58 of file cons_abspower.c.

Referenced by SCIPincludeConshdlrAbspower().

PROPVARTOL

#define PROPVARTOL   SCIPepsilon(scip)

tolerance to add to variable bounds in domain propagation

Definition at line 64 of file cons_abspower.c.

Referenced by computeBoundsX(), computeBoundsZ(), and propagateCons().

PROPSIDETOL

#define PROPSIDETOL   SCIPepsilon(scip)

tolerance to add to constraint sides in domain propagation

Definition at line 65 of file cons_abspower.c.

Referenced by computeBoundsX(), computeBoundsZ(), and propagateCons().

INITLPMAXVARVAL

#define INITLPMAXVARVAL   1000.0

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

Definition at line 66 of file cons_abspower.c.

Referenced by SCIP_DECL_CONSINITLP().

DECL_MYPOW

#define DECL_MYPOW

(

x

)

SCIP_Real x (SCIP_Real base, SCIP_Real exponent)

power function type to be used by a constraint instead of the general pow

Definition at line 69 of file cons_abspower.c.

SIGN

#define SIGN

(

x

)

((x) >= 0.0 ? 1.0 : -1.0)

sign of a value (-1 or +1)

0.0 has sign +1

Definition at line 75 of file cons_abspower.c.

Referenced by checkFixedVariables(), computeBoundsX(), computeBoundsZ(), computeViolation(), generateSecantCut(), generateSecantCutNoCheck(), presolveDual(), presolveFindDuplicates(), propagateCons(), propagateVarbounds(), proposeFeasibleSolution(), SCIP_DECL_CONSPRESOL(), SCIP_DECL_EXPRGRAPHNODEREFORM(), and SCIPgetViolationAbspower().

ROOTS_KNOWN

#define ROOTS_KNOWN   10

up to which (integer) exponents precomputed roots have been stored

Definition at line 82 of file cons_abspower.c.

Referenced by SCIP_DECL_CONSINITSOL().

Typedef Documentation

PROPRULE

typedef enum Proprule PROPRULE

Definition at line 168 of file cons_abspower.c.

Enumeration Type Documentation

Proprule

enum Proprule

Enumerator
PROPRULE_1	left hand side and bounds on z -> lower bound on x
PROPRULE_2	left hand side and upper bound on x -> bound on z
PROPRULE_3	right hand side and bounds on z -> upper bound on x
PROPRULE_4	right hand side and lower bound on x -> bound on z
PROPRULE_INVALID	propagation was applied without a specific propagation rule
PROPRULE_INVALID	propagation was applied without a specific propagation rule
PROPRULE_1	v_i = FALSE => r = FALSE
PROPRULE_2	r = TRUE => v_i = TRUE for all i
PROPRULE_3	v_i = TRUE for all i => r = TRUE
PROPRULE_4	r = FALSE, v_i = TRUE for all i except j => v_j = FALSE
PROPRULE_1_CORETIMES	core-time propagator
PROPRULE_2_EDGEFINDING	edge-finder
PROPRULE_3_TTEF	time-table edeg-finding
PROPRULE_1_RHS	activity residuals of all other variables tighten bounds of single variable due to the right hand side of the inequality
PROPRULE_1_LHS	activity residuals of all other variables tighten bounds of single variable due to the left hand side of the inequality
PROPRULE_1_RANGEDROW	fixed variables and gcd of all left variables tighten bounds of a single variable in this reanged row
PROPRULE_INVALID	propagation was applied without a specific propagation rule
PROPRULE_1	v_i = TRUE => r = TRUE
PROPRULE_2	r = FALSE => v_i = FALSE for all i
PROPRULE_3	v_i = FALSE for all i => r = FALSE
PROPRULE_4	r = TRUE, v_i = FALSE for all i except j => v_j = TRUE
PROPRULE_INVALID	propagation was applied without a specific propagation rule
PROPRULE_1	left hand side and bounds on y -> lower bound on x
PROPRULE_2	left hand side and upper bound on x -> bound on y
PROPRULE_3	right hand side and bounds on y -> upper bound on x
PROPRULE_4	right hand side and lower bound on x -> bound on y
PROPRULE_0	all variables are fixed => fix integral variable
PROPRULE_1	all except one variable fixed => fix remaining variable
PROPRULE_INTLB	lower bound propagation of integral variable
PROPRULE_INTUB	upper bound propagation of integral variable
PROPRULE_INVALID	propagation was applied without a specific propagation rule

Definition at line 160 of file cons_abspower.c.

Function Documentation

DECL_MYPOW()

static DECL_MYPOW ( square  )

static

power function for square, that should be faster than using pow(x, 2.0)

Definition at line 176 of file cons_abspower.c.

References SCIP_DECL_EVENTEXEC().

SCIP_DECL_EVENTEXEC() [1/2]

static SCIP_DECL_EVENTEXEC ( processVarEvent  )

static

process variable event

Definition at line 184 of file cons_abspower.c.

References catchVarEvents(), NULL, SCIP_CALL, SCIP_EVENTTYPE_BOUNDTIGHTENED, SCIP_OKAY, SCIPconsGetData(), SCIPeventGetType(), SCIPeventGetVar(), and SCIPmarkConsPropagate().

Referenced by addLinearizationCuts(), and DECL_MYPOW().

catchVarEvents()

static SCIP_RETCODE catchVarEvents ( SCIP *  scip, SCIP_EVENTHDLR *  eventhdlr, SCIP_CONS *  cons  )

static

catch variable bound tightening events

Parameters

scip	SCIP data structure
eventhdlr	event handler for variables
cons	constraint for which to catch bound change events

Definition at line 205 of file cons_abspower.c.

References dropVarEvents(), NULL, SCIP_CALL, SCIP_EVENTTYPE_DISABLED, SCIP_EVENTTYPE_LBTIGHTENED, SCIP_EVENTTYPE_UBTIGHTENED, SCIP_OKAY, SCIP_VARSTATUS_MULTAGGR, SCIPcatchVarEvent(), SCIPconsGetData(), SCIPisInfinity(), SCIPmarkConsPropagate(), and SCIPvarGetStatus().

Referenced by checkFixedVariables(), presolveFindDuplicates(), SCIP_DECL_CONSENABLE(), and SCIP_DECL_EVENTEXEC().

dropVarEvents()

static SCIP_RETCODE dropVarEvents ( SCIP *  scip, SCIP_EVENTHDLR *  eventhdlr, SCIP_CONS *  cons  )

static

drop variable bound tightening events

Parameters

scip	SCIP data structure
eventhdlr	event handler for variables
cons	constraint for which to drop bound change events

Definition at line 264 of file cons_abspower.c.

References NULL, SCIP_CALL, SCIP_DECL_HASHGETKEY(), SCIP_EVENTTYPE_DISABLED, SCIP_EVENTTYPE_LBTIGHTENED, SCIP_EVENTTYPE_UBTIGHTENED, SCIP_OKAY, SCIP_VARSTATUS_MULTAGGR, SCIPconsGetData(), SCIPdropVarEvent(), SCIPisInfinity(), and SCIPvarGetStatus().

Referenced by catchVarEvents(), checkFixedVariables(), presolveFindDuplicates(), and SCIP_DECL_CONSDISABLE().

SCIP_DECL_HASHGETKEY()

static SCIP_DECL_HASHGETKEY ( presolveFindDuplicatesGetKey  )

static

get key of hash element

Definition at line 322 of file cons_abspower.c.

References SCIP_DECL_HASHKEYEQ().

Referenced by dropVarEvents().

SCIP_DECL_HASHKEYEQ() [1/2]

static SCIP_DECL_HASHKEYEQ ( presolveFindDuplicatesKeyEQ  )

static

checks if two constraints have the same x variable, the same exponent, and either the same offset or the same linear variable and are both equality constraint

Definition at line 329 of file cons_abspower.c.

References FALSE, NULL, SCIP_DECL_HASHKEYVAL(), SCIPconsGetData(), and TRUE.

Referenced by SCIP_DECL_HASHGETKEY(), and SCIP_DECL_HASHKEYVAL().

SCIP_DECL_HASHKEYVAL() [1/2]

static SCIP_DECL_HASHKEYVAL ( presolveFindDuplicatesKeyVal  )

static

get value of hash element when comparing on x

Definition at line 353 of file cons_abspower.c.

References NULL, SCIP_DECL_HASHKEYEQ(), SCIPconsGetData(), SCIPhashTwo, SCIPpositiveRealHashCode, and SCIPvarGetIndex().

Referenced by SCIP_DECL_HASHKEYEQ().

SCIP_DECL_HASHKEYEQ() [2/2]

static SCIP_DECL_HASHKEYEQ ( presolveFindDuplicatesKeyEQ2  )

static

checks if two constraints have the same z variable and the same exponent

Definition at line 366 of file cons_abspower.c.

References FALSE, NULL, SCIP_DECL_HASHKEYVAL(), SCIPconsGetData(), and TRUE.

SCIP_DECL_HASHKEYVAL() [2/2]

static SCIP_DECL_HASHKEYVAL ( presolveFindDuplicatesKeyVal2  )

static

get value of hash element when comparing on z

Definition at line 387 of file cons_abspower.c.

References NULL, presolveFindDuplicatesUpgradeCons(), SCIPconsGetData(), SCIPhashTwo, SCIPpositiveRealHashCode, and SCIPvarGetIndex().

presolveFindDuplicatesUpgradeCons()

static SCIP_RETCODE presolveFindDuplicatesUpgradeCons ( SCIP *  scip, SCIP_CONS *  cons1, SCIP_CONS *  cons2, SCIP_Bool *  infeas, int *  nupgdconss, int *  ndelconss, int *  naggrvars  )

static

upgrades a signpower constraint to a linear constraint if a second signpower constraint with same nonlinear term is available

Parameters

scip	SCIP data structure
cons1	constraint to upgrade to a linear constraint
cons2	constraint which defines a relation for x|x|^{n-1}
infeas	buffer where to indicate if infeasibility has been detected
nupgdconss	buffer where to add number of upgraded conss
ndelconss	buffer where to add number of deleted conss
naggrvars	buffer where to add number of aggregated variables

Definition at line 400 of file cons_abspower.c.

References NULL, presolveFindDuplicatesSolveEquations(), SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPaddCons(), SCIPaggregateVars(), SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsLinear(), SCIPdelCons(), SCIPisEQ(), SCIPisInfinity(), and SCIPreleaseCons().

Referenced by presolveFindDuplicates(), and SCIP_DECL_HASHKEYVAL().

presolveFindDuplicatesSolveEquations()

static void presolveFindDuplicatesSolveEquations ( SCIP *  scip, SCIP_Bool *  infeas, SCIP_Real *  xval, SCIP_Real *  zval, SCIP_Real  exponent, SCIP_Real  xoffset1, SCIP_Real  zcoef1, SCIP_Real  rhs1, SCIP_Real  xoffset2, SCIP_Real  zcoef2, SCIP_Real  rhs2  )

static

solves a system of two absolute power equations Given: (x+xoffset1)|x+xoffset1|^{exponent-1} + zcoef1 * z == rhs1 and (x+xoffset2)|x+xoffset2|^{exponent-1} + zcoef2 * z == rhs2 with xoffset1 != xoffset2 and zcoef1 * rhs2 == zcoef2 * rhs1 and exponent == 2, finds values for x and z that satisfy these equations, or reports infeasibility if no solution exists.

Multiplying the second equation by -zcoef1/zcoef2 and adding it to the first one gives (x+xoffset1)|x+xoffset1| - zcoef1/zcoef2 (x+offset2)|x+offset2| == 0

If zcoef1 == zcoef2, then there exists, due to monotonicity of x|x|, no x such that (x+xoffset1)|x+xoffset1| == (x+xoffset2)|x+xoffset2|.

In general, for zcoef1 / zcoef2 > 0.0, we get x = (xoffset2 - xoffset1) / (sqrt(zcoef2 / zcoef1) - 1.0) - xoffset1, and for zcoef1 / zcoef2 < 0.0, we get x = (xoffset2 - xoffset1) / (-sqrt(-zcoef2 / zcoef1) - 1.0) - xoffset1.

This then yields z = (rhs1 - (x+xoffset1)|x+xoffset1|) / zcoef1.

Parameters

scip	SCIP data structure
infeas	buffer to indicate if the system of equations has no solution
xval	buffer to store value of x in the solution, if any
zval	buffer to store value of z in the solution, if any
exponent	exponent in absolute power equations
xoffset1	offset for x in first absolute power equation
zcoef1	coefficient of z in first absolute power equation
rhs1	right-hand-side in first absolute power equation
xoffset2	offset for x in second absolute power equation
zcoef2	coefficient of z in second absolute power equation
rhs2	right-hand-side in second absolute power equation

Definition at line 517 of file cons_abspower.c.

References FALSE, NULL, presolveFindDuplicates(), REALABS, SCIPisEQ(), SCIPisFeasEQ(), sqrt(), and TRUE.

Referenced by presolveFindDuplicates(), and presolveFindDuplicatesUpgradeCons().

presolveFindDuplicates()

static SCIP_RETCODE presolveFindDuplicates ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, int *  nupgdconss, int *  ndelconss, int *  naddconss, int *  nfixedvars, int *  naggrvars, SCIP_Bool *  success, SCIP_Bool *  infeas  )

static

finds and removes duplicates in a set of absolute power constraints

Parameters

scip	SCIP data structure
conshdlr	constraint handler for absolute power constraints
conss	constraints
nconss	number of constraints
nupgdconss	pointer where to add number of upgraded constraints
ndelconss	pointer where to add number of deleted constraints
naddconss	pointer where to add number of added constraints
nfixedvars	pointer where to add number of fixed variables
naggrvars	pointer where to add number of aggregated variables
success	pointer to store whether a duplicate was found (and removed)
infeas	pointer to store whether infeasibility was detected

Definition at line 578 of file cons_abspower.c.

References catchVarEvents(), dropVarEvents(), FALSE, MAX, MIN, NULL, pow(), presolveDual(), presolveFindDuplicatesSolveEquations(), presolveFindDuplicatesUpgradeCons(), REALABS, SCIP_Bool, SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARSTATUS_MULTAGGR, SCIP_VARTYPE_CONTINUOUS, SCIPaddCons(), SCIPaddVar(), SCIPaggregateVars(), SCIPblkmem(), SCIPcalcMultihashSize(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsActive(), SCIPconsIsChecked(), SCIPconsIsDeleted(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsAbspower(), SCIPcreateConsLinear(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugGetSolVal, SCIPdebugMsg, SCIPdebugPrintCons, SCIPdelCons(), SCIPfixVar(), SCIPinfinity(), SCIPisEQ(), SCIPisGT(), SCIPisInfinity(), SCIPisZero(), SCIPlockVarCons(), SCIPmultihashCreate(), SCIPmultihashFree(), SCIPmultihashInsert(), SCIPmultihashRemove(), SCIPmultihashRetrieveNext(), SCIPreleaseCons(), SCIPreleaseVar(), SCIPsnprintf(), SCIPunlockVarCons(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetProbvar(), SCIPvarGetStatus(), SCIPvarGetUbLocal(), SIGN, sqrt(), and TRUE.

Referenced by presolveFindDuplicatesSolveEquations(), and SCIP_DECL_CONSPRESOL().

presolveDual()

static SCIP_RETCODE presolveDual ( SCIP *  scip, SCIP_CONS *  cons, SCIP_Bool *  cutoff, int *  ndelconss, int *  nfixedvars  )

static

fix variables not appearing in any other constraint

Parameters

scip	SCIP data structure
cons	constraint
cutoff	buffer to indicate whether a cutoff was detected
ndelconss	buffer to increase with the number of deleted constraint
nfixedvars	buffer to increase with the number of fixed variables

Definition at line 1094 of file cons_abspower.c.

References MAX, MIN, NULL, SCIP_Bool, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIP_VARSTATUS_MULTAGGR, SCIP_VARTYPE_INTEGER, SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsMarkedPropagate(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPdelCons(), SCIPfixVar(), SCIPinfinity(), SCIPisEQ(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisGE(), SCIPisGT(), SCIPisInfinity(), SCIPisLE(), SCIPisLT(), SCIPisZero(), SCIPvarGetBestBoundGlobal(), SCIPvarGetLbGlobal(), SCIPvarGetName(), SCIPvarGetNLocksDown(), SCIPvarGetNLocksUp(), SCIPvarGetObj(), SCIPvarGetStatus(), SCIPvarGetType(), SCIPvarGetUbGlobal(), SIGN, and tightenBounds().

Referenced by presolveFindDuplicates(), and SCIP_DECL_CONSPRESOL().

tightenBounds()

static SCIP_RETCODE tightenBounds ( SCIP *  scip, SCIP_VAR *  var, SCIP_INTERVAL  bounds, SCIP_Bool  force, SCIP_CONS *  cons, SCIP_RESULT *  result, int *  nchgbds, int *  nfixedvars, int *  naddconss  )

static

given a variable and an interval, tightens the local bounds of this variable to the given interval

Parameters

scip	SCIP data structure
var	variable which bounds to tighten
bounds	new bounds
force	force tightening even if below bound strengthening tolerance
cons	constraint that is propagated
result	pointer to store the result of the propagation call
nchgbds	buffer where to add the number of changed bounds
nfixedvars	buffer where to add the number of fixed variables, can be equal to nchgbds
naddconss	buffer where to add the number of added constraints, can be NULL if force is FALSE

Definition at line 1382 of file cons_abspower.c.

References computeBoundsZ(), FALSE, SCIP_Interval::inf, NULL, SCIP_Bool, SCIP_CALL, SCIP_CONSADDED, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_OKAY, SCIP_Real, SCIP_REDUCEDDOM, SCIP_STAGE_SOLVING, SCIPaddCons(), SCIPaddConsLocal(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsPropagated(), SCIPconsIsSeparated(), SCIPcreateConsLinear(), SCIPdebugMsg, SCIPfixVar(), SCIPgetCurrentNode(), SCIPgetStage(), SCIPinProbing(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPisEQ(), SCIPisGT(), SCIPisInfinity(), SCIPisLT(), SCIPnodeGetDepth(), SCIPreleaseCons(), SCIPtightenVarLb(), SCIPtightenVarUb(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetProbvar(), SCIPvarGetUbLocal(), SCIPvarIsActive(), SCIP_Interval::sup, and TRUE.

Referenced by checkFixedVariables(), presolveDual(), and propagateCons().

computeBoundsZ()

static void computeBoundsZ ( SCIP *  scip, SCIP_CONS *  cons, SCIP_INTERVAL  xbnds, SCIP_INTERVAL *  zbnds  )

static

computes bounds on z in a absolute power constraints for given bounds on x

Parameters

scip	SCIP data structure
cons	constraint
xbnds	bounds on x that are to be propagated
zbnds	buffer to store corresponding bounds on z

Definition at line 1536 of file cons_abspower.c.

References computeBoundsX(), SCIP_Interval::inf, NULL, PROPSIDETOL, PROPVARTOL, REALABS, SCIP_Real, SCIPconsGetData(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPinfinity(), SCIPintervalIsEmpty(), SCIPintervalSetEntire(), SCIPisInfinity(), SIGN, and SCIP_Interval::sup.

Referenced by checkFixedVariables(), propagateCons(), and tightenBounds().

computeBoundsX()

static void computeBoundsX ( SCIP *  scip, SCIP_CONS *  cons, SCIP_INTERVAL  zbnds, SCIP_INTERVAL *  xbnds  )

static

computes bounds on x in a absolute power constraints for given bounds on z

Parameters

scip	SCIP data structure
cons	constraint
zbnds	bounds on x that are to be propagated
xbnds	buffer to store corresponding bounds on z

Definition at line 1589 of file cons_abspower.c.

References checkFixedVariables(), SCIP_Interval::inf, NULL, pow(), PROPSIDETOL, PROPVARTOL, REALABS, SCIP_Real, SCIPconsGetData(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPinfinity(), SCIPintervalIsEmpty(), SCIPintervalSetEntire(), SCIPisInfinity(), SIGN, sqrt(), and SCIP_Interval::sup.

Referenced by checkFixedVariables(), computeBoundsZ(), and propagateCons().

checkFixedVariables()

static SCIP_RETCODE checkFixedVariables ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, int *  ndelconss, int *  nupgdconss, int *  nchgbds, int *  nfixedvars, SCIP_RESULT *  result  )

static

checks if x or z is fixed and replaces them or deletes constraint

Parameters

scip	SCIP data structure
conshdlr	constraint handler for absolute power constraints
cons	constraint
ndelconss	counter for number of deleted constraints
nupgdconss	counter for number of upgraded constraints
nchgbds	counter for number of variable bound changes
nfixedvars	counter for number of variable fixations
result	to store result if we detect infeasibility or remove constraint

Definition at line 1642 of file cons_abspower.c.

References catchVarEvents(), computeBoundsX(), computeBoundsZ(), dropVarEvents(), FALSE, getGradientMaxElement(), SCIP_Interval::inf, MAX, MIN, NULL, pow(), REALABS, SCIP_CALL, SCIP_CUTOFF, SCIP_DIDNOTFIND, SCIP_OKAY, SCIP_Real, SCIP_VARSTATUS_MULTAGGR, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPdelCons(), SCIPgetProbvarSum(), SCIPinfinity(), SCIPintervalSet(), SCIPisEQ(), SCIPisFeasEQ(), SCIPisFeasGT(), SCIPisFeasLT(), SCIPisGE(), SCIPisInfinity(), SCIPisLE(), SCIPisZero(), SCIPlockVarCons(), SCIPmarkDoNotMultaggrVar(), SCIPunlockVarCons(), SCIPvarGetLbGlobal(), SCIPvarGetName(), SCIPvarGetStatus(), SCIPvarGetUbGlobal(), SCIPvarIsActive(), SCIPwarningMessage(), SIGN, sqrt(), SCIP_Interval::sup, tightenBounds(), and TRUE.

Referenced by computeBoundsX(), and SCIP_DECL_CONSPRESOL().

getGradientMaxElement()

static SCIP_Real getGradientMaxElement ( SCIP *  scip, SCIP_CONS *  cons, SCIP_SOL *  sol  )

static

gets maximal absolute value in gradient of quadratic function thus, gives \(max(n |x+offset|^{n-1}, |zcoef|)\).

Parameters

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

Definition at line 1937 of file cons_abspower.c.

References computeViolation(), MAX, NULL, pow(), REALABS, SCIP_Real, SCIPconsGetData(), SCIPgetSolVal(), and SCIPisInfinity().

Referenced by checkFixedVariables(), and computeViolation().

computeViolation()

static SCIP_RETCODE computeViolation ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, SCIP_SOL *  sol, SCIP_Real *  viol, SCIP_Bool *  solviolbounds  )

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
viol	pointer to store absolute (unscaled) constraint violation
solviolbounds	buffer to store whether the solution violates bounds on x by more than feastol

Definition at line 1966 of file cons_abspower.c.

References computeViolations(), FALSE, getGradientMaxElement(), MAX, MIN, NULL, REALABS, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIPABORT, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPerrorMessage, SCIPgetSolVal(), SCIPinfinity(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisInfinity(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), SIGN, and TRUE.

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

computeViolations()

static SCIP_RETCODE computeViolations ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS **  conss, int  nconss, SCIP_SOL *  sol, SCIP_Bool *  solviolbounds, 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
solviolbounds	buffer to store whether the solution violates bounds on x by more than feastol
maxviolcon	buffer to store constraint with largest violation, or NULL if solution is feasible

Definition at line 2086 of file cons_abspower.c.

References computeViolation(), FALSE, MAX, NULL, proposeBranchingPoint(), SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPfeastol(), and SCIPisGT().

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

proposeBranchingPoint()

static SCIP_Real proposeBranchingPoint ( SCIP *  scip, SCIP_CONS *  cons, SCIP_SOL *  sol, int  preferzero, SCIP_Bool  branchminconverror  )

static

proposes branching point for constraint

Parameters

scip	SCIP data structure
cons	constraint which variable to get branching point for
sol	solution to branch on (NULL for LP or pseudosol)
preferzero	how much we prefer branching on -xoffset (0, 1, or 2) if sign is not fixed
branchminconverror	whether to minimize convexification error if sign is fixed

Definition at line 2136 of file cons_abspower.c.

References MAX, MIN, NULL, pow(), registerBranchingCandidates(), SCIP_INVALID, SCIP_Real, SCIPconsGetData(), SCIPfeastol(), SCIPgetSolVal(), SCIPisFeasNegative(), SCIPisFeasPositive(), SCIPisGE(), SCIPisGT(), SCIPisInfinity(), SCIPisLE(), SCIPisLT(), SCIPvarGetLbLocal(), and SCIPvarGetUbLocal().

Referenced by computeViolations(), registerBranchingCandidates(), and SCIP_DECL_CONSENFOPS().

registerBranchingCandidates()

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

static

registers branching variable candidates registers x for all violated absolute power constraints where x is not in convex region

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints to check
nconss	number of constraints to check
sol	solution to enforce (NULL for the LP solution)
nnotify	counter for number of notifications performed

Definition at line 2247 of file cons_abspower.c.

References FALSE, MAX, NULL, proposeBranchingPoint(), registerLargeRelaxValueVariableForBranching(), SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIPaddExternBranchCand(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebugMsg, SCIPfeastol(), SCIPgetSolVal(), SCIPisGT(), SCIPisInfinity(), SCIPisLT(), SCIPisRelEQ(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by enforceConstraint(), and proposeBranchingPoint().

registerLargeRelaxValueVariableForBranching()

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

static

registers a 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 2317 of file cons_abspower.c.

References NULL, REALABS, resolvePropagation(), SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPaddExternBranchCand(), SCIPconsGetData(), SCIPfeastol(), SCIPgetSolVal(), and SCIPisGT().

Referenced by enforceConstraint(), and registerBranchingCandidates().

resolvePropagation()

static SCIP_RETCODE resolvePropagation ( SCIP *  scip, SCIP_CONS *  cons, SCIP_VAR *  infervar, PROPRULE  proprule, SCIP_BOUNDTYPE  boundtype, SCIP_BDCHGIDX *  bdchgidx  )

static

resolves a propagation on the given variable by supplying the variables needed for applying the corresponding propagation rule (see propagateCons()): see cons_varbound

Parameters

scip	SCIP data structure
cons	constraint that inferred the bound change
infervar	variable that was deduced
proprule	propagation rule that deduced the bound change
boundtype	the type of the changed bound (lower or upper bound)
bdchgidx	bound change index (time stamp of bound change), or NULL for current time

Definition at line 2366 of file cons_abspower.c.

References analyzeConflict(), NULL, PROPRULE_1, PROPRULE_2, PROPRULE_3, PROPRULE_4, PROPRULE_INVALID, SCIP_BOUNDTYPE_LOWER, SCIP_BOUNDTYPE_UPPER, SCIP_CALL, SCIP_INVALIDDATA, SCIP_OKAY, SCIPaddConflictLb(), SCIPaddConflictUb(), SCIPconsGetData(), SCIPconsGetName(), SCIPerrorMessage, and SCIPisInfinity().

Referenced by analyzeConflict(), registerLargeRelaxValueVariableForBranching(), and SCIP_DECL_CONSRESPROP().

analyzeConflict()

static SCIP_RETCODE analyzeConflict ( SCIP *  scip, SCIP_CONS *  cons, SCIP_VAR *  infervar, PROPRULE  proprule, SCIP_BOUNDTYPE  boundtype  )

static

analyze infeasibility

Parameters

scip	SCIP data structure
cons	variable bound constraint
infervar	variable that was deduced
proprule	propagation rule that deduced the bound change
boundtype	the type of the changed bound (lower or upper bound)

Definition at line 2442 of file cons_abspower.c.

References FALSE, NULL, propagateCons(), resolvePropagation(), SCIP_BOUNDTYPE_LOWER, SCIP_BOUNDTYPE_UPPER, SCIP_CALL, SCIP_CONFTYPE_PROPAGATION, SCIP_OKAY, SCIP_STAGE_SOLVING, SCIPaddConflictLb(), SCIPaddConflictUb(), SCIPanalyzeConflictCons(), SCIPgetStage(), SCIPinitConflictAnalysis(), SCIPinProbing(), and SCIPisConflictAnalysisApplicable().

Referenced by propagateCons(), and resolvePropagation().

propagateCons()

static SCIP_RETCODE propagateCons ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, SCIP_Bool  canaddcons, SCIP_Bool *  cutoff, int *  nchgbds, int *  naddconss  )

static

propagation method for absolute power constraint SCIPinferVarXbCons to allow for repropagation

Parameters

scip	SCIP data structure
conshdlr	constraint handler
cons	variable bound constraint
canaddcons	are we allowed to add a linear constraint when enforcing bounds for a multiaggregated variable?
cutoff	pointer to store whether the node can be cut off
nchgbds	pointer to count number of bound changes
naddconss	pointer to count number of added constraints

Definition at line 2481 of file cons_abspower.c.

References addVarbound(), analyzeConflict(), computeBoundsX(), computeBoundsZ(), FALSE, MAX, MIN, NULL, pow(), PROPRULE_1, PROPRULE_2, PROPRULE_3, PROPRULE_4, PROPSIDETOL, PROPVARTOL, REALABS, SCIP_Bool, SCIP_BOUNDTYPE_LOWER, SCIP_BOUNDTYPE_UPPER, SCIP_CALL, SCIP_CUTOFF, SCIP_OKAY, SCIP_Real, SCIP_VARSTATUS_MULTAGGR, SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsMarkedPropagate(), SCIPdebugMsg, SCIPdelConsLocal(), SCIPinferVarLbCons(), SCIPinferVarUbCons(), SCIPinfinity(), SCIPintervalSetBounds(), SCIPisFeasEQ(), SCIPisFeasGE(), SCIPisFeasGT(), SCIPisFeasLE(), SCIPisFeasLT(), SCIPisGT(), SCIPisInfinity(), SCIPisLbBetter(), SCIPisLT(), SCIPisRelEQ(), SCIPisUbBetter(), SCIPunmarkConsPropagate(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetProbvar(), SCIPvarGetStatus(), SCIPvarGetUbLocal(), SCIPvarIsActive(), SIGN, sqrt(), tightenBounds(), and TRUE.

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

addVarbound()

static SCIP_RETCODE addVarbound ( SCIP *  scip, SCIP_CONS *  cons, SCIP_Bool  addcons, SCIP_VAR *  var, SCIP_VAR *  vbdvar, SCIP_Real  vbdcoef, SCIP_Real  lhs, SCIP_Real  rhs, SCIP_Bool *  infeas, int *  nbdchgs, int *  naddconss  )

static

notifies SCIP about a variable bound lhs <= x + c*y <= rhs

Parameters

scip	SCIP data structure
cons	absolute power constraint this variable bound is derived form
addcons	should the variable bound be added as constraint to SCIP?
var	variable x for which we want to add a variable bound
vbdvar	variable y which makes the bound a variable bound
vbdcoef	coefficient c of bounding variable vbdvar
lhs	left hand side of varbound constraint
rhs	right hand side of varbound constraint
infeas	pointer to store whether an infeasibility was detected
nbdchgs	pointer where to add number of performed bound changes
naddconss	pointer where to add number of added constraints

Definition at line 3085 of file cons_abspower.c.

References FALSE, NULL, propagateVarbounds(), SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARSTATUS_MULTAGGR, SCIPaddCons(), SCIPaddVarVlb(), SCIPaddVarVub(), SCIPconsGetName(), SCIPcreateConsVarbound(), SCIPdebugMsg, SCIPgetProbvarSum(), SCIPisEQ(), SCIPisInfinity(), SCIPisZero(), SCIPreleaseCons(), SCIPsnprintf(), SCIPvarGetLbGlobal(), SCIPvarGetName(), SCIPvarGetStatus(), SCIPvarGetUbGlobal(), SCIPvarIsActive(), SCIPvarIsIntegral(), and TRUE.

Referenced by propagateCons(), and propagateVarbounds().

propagateVarbounds()

static SCIP_RETCODE propagateVarbounds ( SCIP *  scip, SCIP_CONSHDLR *  conshdlr, SCIP_CONS *  cons, SCIP_Bool *  infeas, int *  nbdchgs, int *  naddconss  )

static

propagates varbounds of variables Let f(x) = sign(x+offset)|x+offset|^n, f^{-1}(y) = sign(y)|y|^(1/n) - offset. Thus, constraint is lhs <= f(x) + c*z <= rhs.

Given a variable bound constraint x <= a*y + b with y a binary variable, one obtains y = 0 -> f(x) <= f(b) -> lhs <= f(b) + c*z y = 1 -> f(x) <= f(a+b) -> lhs <= f(a+b) + c*z => lhs <= f(b) + y * (f(a+b)-f(b)) + c*z

Given a variable bound constraint x >= a*y + b with y a binary variable, one obtains analogously f(b) + y * (f(a+b)-f(b)) + c*z <= rhs

Given a variable bound constraint c*z <= a*y + b with y a binary variable, one obtains y = 0 -> lhs <= f(x) + b -> x >= f^{-1}(lhs - b) y = 1 -> lhs <= f(x) + a+b -> x >= f^{-1}(lhs - (a+b)) => x >= f^{-1}(lhs - b) + y * (f^{-1}(lhs - (a+b)) - f^{-1}(lhs - b))

Given a variable bound constraint c*z >= a*y + b with y a binary variable, one obtains analogously x <= f^{-1}(rhs - b) + y * (f^{-1}(rhs - (a+b)) - f^{-1}(rhs - b))

Parameters

scip	SCIP data structure
conshdlr	constraint handler
cons	absolute power constraint
infeas	pointer to store whether an infeasibility was detected
nbdchgs	pointer where to add number of performed bound changes
naddconss	pointer where to add number of added constraints

Definition at line 3192 of file cons_abspower.c.

References addVarbound(), FALSE, generateLinearizationCut(), NULL, pow(), SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPdebugMsg, SCIPinfinity(), SCIPisFeasZero(), SCIPisInfinity(), SCIPisZero(), SCIPvarGetLbGlobal(), SCIPvarGetName(), SCIPvarGetNVlbs(), SCIPvarGetNVubs(), SCIPvarGetUbGlobal(), SCIPvarGetVlbCoefs(), SCIPvarGetVlbConstants(), SCIPvarGetVlbVars(), SCIPvarGetVubCoefs(), SCIPvarGetVubConstants(), SCIPvarGetVubVars(), SCIPvarIsBinary(), and SIGN.

Referenced by addVarbound(), and SCIP_DECL_CONSPRESOL().

generateLinearizationCut()

static SCIP_RETCODE generateLinearizationCut ( SCIP *  scip, SCIP_ROW **  row, SCIP_CONSHDLR *  conshdlr, SCIP_Real  refpoint, SCIP_Real  exponent, SCIP_Real  xoffset, SCIP_Real  xmult, SCIP_Real  zcoef, SCIP_Real  rhs, SCIP_VAR *  x, SCIP_VAR *  z, SCIP_Bool  islocal  )

static

computes linear underestimator for (x+offset)^n + c*z <= rhs by linearization in x

the generated cut is xmul * n * (refpoint+offset)^(n-1) * x + c*z <= rhs + ((n-1)*refpoint-offset) * (refpoint+offset)^(n-1)

Parameters

scip	SCIP data structure
row	buffer to store row
conshdlr	constraint handler
refpoint	base point for linearization
exponent	exponent n in sign(x)abs(x)^n
xoffset	offset of x
xmult	multiplier for coefficient of x
zcoef	coefficient of z
rhs	right hand side
x	variable x
z	variable z
islocal	whether the cut is valid only locally

Definition at line 3410 of file cons_abspower.c.

References FALSE, generateLinearizationCutProject(), NULL, pow(), SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIPaddVarToRow(), SCIPconshdlrGetData(), SCIPcreateEmptyRowCons(), SCIPdebugMsg, SCIPinfinity(), SCIPisFeasNegative(), SCIPisInfinity(), SCIPsnprintf(), and TRUE.

Referenced by generateCut(), generateLinearizationCutProject(), propagateVarbounds(), and SCIP_DECL_CONSINITLP().

generateLinearizationCutProject()

static SCIP_RETCODE generateLinearizationCutProject ( SCIP *  scip, SCIP_ROW **  row, SCIP_CONSHDLR *  conshdlr, SCIP_Real  xref, SCIP_Real  zref, SCIP_Real  xmin, SCIP_Real  exponent, SCIP_Real  xoffset, SCIP_Real  xmult, SCIP_Real  zcoef, SCIP_Real  rhs, SCIP_VAR *  x, SCIP_VAR *  z, SCIP_Bool  islocal  )

static

computes linear underestimator for (x+xoffset)^n + c*z <= rhs by linearization in x

the generated cut is xmul * n * (refpoint+offset)^(n-1) * x + c*z <= rhs + ((n-1)*refpoint-offset) * (refpoint+offset)^(n-1) where refpoint is computed by projecting (xref, zref) onto the graph of (x+offset)^n w.r.t. euclidean norm

Thus, the projection is computed by minimizing 1/2(x-xref)^2 + 1/2(((x+offset)^n-rhs)/(-c) - zref)^2. I.e., we aim to find a root of g(x) = x - xref + n/c (x+offset)^(n-1) (zref - rhs/c) + n/c^2 (x+offset)^(2n-1) We do this numerically by executing up to five newton iterations. It is g'(x) = 1 + n(n-1)/c (x+offset)^(n-2) (zref - rhs/c) + n(2n-1)/c^2 (x+offset)^(2n-2)

Parameters

scip	SCIP data structure
row	buffer to store row
conshdlr	constraint handler
xref	reference point for x
zref	reference point for z
xmin	minimal value x is allowed to take
exponent	exponent n in sign(x+offset)abs(x+offset)^n
xoffset	offset of x
xmult	multiplier for coefficient of x
zcoef	coefficient of z
rhs	right hand side
x	variable x
z	variable z
islocal	whether the cut is valid only locally

Definition at line 3479 of file cons_abspower.c.

References generateLinearizationCut(), generateSecantCut(), NULL, pow(), SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPisFeasNegative(), SCIPisFeasPositive(), and SCIPisInfinity().

Referenced by generateCut(), and generateLinearizationCut().

generateSecantCut()

static SCIP_RETCODE generateSecantCut ( SCIP *  scip, SCIP_ROW **  row, SCIP_CONSHDLR *  conshdlr, SCIP_SOL *  sol, SCIP_Real  xlb, SCIP_Real  xub, SCIP_Real  exponent, SCIP_Real  xoffset, DECL_MYPOW((*mypow))  , SCIP_Real  xmult, SCIP_Real  zcoef, SCIP_Real  rhs, SCIP_VAR *  x, SCIP_VAR *  z  )

static

computes secant underestimator for sign(x+offset)abs(x+offset)^n + c*z <= rhs

the generated cut is slope*xmult*x + c*z <= rhs + (-xlb-offset)^n + slope*xlb, where slope = (sign(xub+offset)*abs(xub+offset)^n + (-xlb-offset)^n) / (xub - xlb).

the cut is not generated if the given solution (or the LP solution) would not be cutoff

Parameters

scip	SCIP data structure
row	buffer to store row
conshdlr	constraint handler
sol	point we want to cut off, or NULL for LP solution
xlb	lower bound of x
xub	upper bound of x
exponent	exponent n in sign(x+offset)abs(x+offset)^n
xoffset	offset of x
xmult	multiplier for coefficient of x
zcoef	coefficient of z
rhs	right hand side
x	variable x
z	variable z

Definition at line 3554 of file cons_abspower.c.

References FALSE, generateSecantCutNoCheck(), NULL, REALABS, SCIP_CALL, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIPaddVarToRow(), SCIPchgRowRhs(), SCIPconshdlrGetData(), SCIPcreateEmptyRowCons(), SCIPgetCurrentNode(), SCIPgetSolVal(), SCIPinfinity(), SCIPisFeasPositive(), SCIPisInfinity(), SCIPisLE(), SCIPisPositive(), SCIPisRelEQ(), SCIPnodeGetDepth(), SCIPsnprintf(), SIGN, and TRUE.

Referenced by generateCut(), and generateLinearizationCutProject().

generateSecantCutNoCheck()

static SCIP_RETCODE generateSecantCutNoCheck ( SCIP *  scip, SCIP_ROW **  row, SCIP_CONSHDLR *  conshdlr, SCIP_Real  xlb, SCIP_Real  xub, SCIP_Real  exponent, SCIP_Real  xoffset, DECL_MYPOW((*mypow))  , SCIP_Real  xmult, SCIP_Real  zcoef, SCIP_Real  rhs, SCIP_VAR *  x, SCIP_VAR *  z  )

static

computes secant underestimator for sign(x+xoffset)abs(x+xoffset)^n + c*z <= rhs

The generated cut is slope*xmult*x + c*z <= rhs + (-xlb-xoffset)^n + slope*xlb, where slope = (sign(xub+xoffset)*abs(xub+xoffset)^n + (-xlb-xoffset)^n) / (xub - xlb).

Parameters

scip	SCIP data structure
row	buffer to store row
conshdlr	constraint handler
xlb	lower bound of x
xub	upper bound of x
exponent	exponent n in sign(x)abs(x)^n
xoffset	offset of x
xmult	multiplier for coefficient of x
zcoef	coefficient of z
rhs	right hand side
x	variable x
z	variable z

Definition at line 3618 of file cons_abspower.c.

References FALSE, generateCut(), NULL, REALABS, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPaddVarToRow(), SCIPchgRowRhs(), SCIPcreateEmptyRowCons(), SCIPgetCurrentNode(), SCIPinfinity(), SCIPisInfinity(), SCIPisLE(), SCIPisPositive(), SCIPisRelEQ(), SCIPnodeGetDepth(), SIGN, and TRUE.

Referenced by generateSecantCut(), and SCIP_DECL_CONSINITLP().

generateCut()

static SCIP_RETCODE generateCut ( SCIP *  scip, SCIP_CONS *  cons, SCIP_SOL *  sol, SCIP_ROW **  row, SCIP_Bool  onlyinbounds  )

static

generates a cut based on Liberti and Pantelides, Convex Envelopes of Monomials of Odd Degree, J. Global Optimization 25, 157-168, 2003, and previous publications

Parameters

scip	SCIP data structure
cons	constraint
sol	solution to separate, or NULL if LP solution should be used
row	storage for cut
onlyinbounds	whether linearization is allowed only in variable bounds

Definition at line 3667 of file cons_abspower.c.

References generateLinearizationCut(), generateLinearizationCutProject(), generateSecantCut(), NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIP_SIDETYPE_LEFT, SCIP_SIDETYPE_RIGHT, SCIPconsGetData(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsGlobal(), SCIPdebug, SCIPdebugMsg, SCIPdebugPrintCons, SCIPfeastol(), SCIPgetCurrentNode(), SCIPgetRowMaxCoef(), SCIPgetRowMinCoef(), SCIPgetSolVal(), SCIPisGT(), SCIPisInfinity(), SCIPisNegative(), SCIPisPositive(), SCIPnodeGetDepth(), SCIPprintRow(), SCIPreleaseRow(), SCIProwGetRhs(), SCIPvarGetLbGlobal(), SCIPvarGetLbLocal(), SCIPvarGetUbGlobal(), SCIPvarGetUbLocal(), and separatePoint().

Referenced by addLinearizationCuts(), generateSecantCutNoCheck(), 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_Bool  onlyinbounds, SCIP_Bool *  success, SCIP_Bool *  cutoff, 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
onlyinbounds	whether linearization is allowed only in variable bounds
success	result of separation: separated point (TRUE) or not (FALSE)
cutoff	whether a cutoff has been detected
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 3826 of file cons_abspower.c.

References addLinearizationCuts(), FALSE, generateCut(), MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIPABORT, SCIPaddCut(), SCIPaddRowIndicator(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPerrorMessage, SCIPfeastol(), SCIPgetRelaxFeastolFactor(), SCIPgetRowMaxCoef(), SCIPgetRowSolFeasibility(), SCIPgetSolVal(), SCIPisCutApplicable(), SCIPisFeasPositive(), SCIPisGT(), SCIPisInfinity(), SCIPisNegative(), SCIPisPositive(), SCIPmarkRowNotRemovableLocal(), SCIPreleaseRow(), SCIProwGetLhs(), SCIProwGetRhs(), SCIProwIsLocal(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), and TRUE.

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

addLinearizationCuts()

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 3972 of file cons_abspower.c.

References FALSE, generateCut(), MAX, MIN, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_DECL_EVENTEXEC(), SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIPABORT, SCIPaddCut(), SCIPaddPoolCut(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPconsIsLocal(), SCIPerrorMessage, SCIPgetRowLPFeasibility(), SCIPgetRowMaxCoef(), SCIPisGT(), SCIPisInfinity(), SCIPisLT(), SCIPreleaseRow(), SCIProwGetLhs(), SCIProwGetRhs(), SCIProwIsLocal(), SCIPvarGetLbGlobal(), SCIPvarGetUbGlobal(), and TRUE.

Referenced by SCIP_DECL_CONSSEPALP(), SCIP_DECL_EVENTEXEC(), and separatePoint().

SCIP_DECL_EVENTEXEC() [2/2]

static SCIP_DECL_EVENTEXEC ( processNewSolutionEvent  )

static

processes the event that a new primal solution has been found

Definition at line 4096 of file cons_abspower.c.

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

proposeFeasibleSolution()

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

static

given a solution, try to make absolute power constraints feasible by shifting the linear variable z and pass this solution to the trysol heuristic

Parameters

scip	SCIP data structure
conshdlr	constraint handler
conss	constraints to process
nconss	number of constraints
sol	solution to process

Definition at line 4143 of file cons_abspower.c.

References computeViolation(), createNlRow(), MAX, NULL, REALABS, SCIP_Bool, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIP_STAGE_INITPRESOLVE, SCIP_STAGE_SOLVED, SCIP_VARSTATUS_MULTAGGR, SCIPconsGetData(), SCIPconshdlrGetData(), SCIPcreateLPSol(), SCIPcreateSolCopy(), SCIPdebugMsg, SCIPfeastol(), SCIPfreeSol(), SCIPgetSolTransObj(), SCIPgetSolVal(), SCIPgetStage(), SCIPheurPassSolTrySol(), SCIPisFeasGT(), SCIPisFeasLT(), SCIPisGT(), SCIPisInfinity(), SCIPsetSolVal(), SCIPunlinkSol(), SCIPvarGetLbGlobal(), SCIPvarGetStatus(), SCIPvarGetUbGlobal(), and SIGN.

Referenced by SCIP_DECL_CONSCHECK(), and SCIP_DECL_EVENTEXEC().

createNlRow()

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	absolute power constraint

Definition at line 4251 of file cons_abspower.c.

References SCIP_QuadElement::coef, SCIP_QuadElement::idx1, SCIP_QuadElement::idx2, NULL, SCIP_Bool, SCIP_CALL, SCIP_DECL_QUADCONSUPGD(), SCIP_EXPR_CONST, SCIP_EXPR_INTPOWER, SCIP_EXPR_MUL, SCIP_EXPR_PLUS, SCIP_EXPR_REALPOWER, SCIP_EXPR_SIGNPOWER, SCIP_EXPR_VARIDX, SCIP_EXPRCURV_UNKNOWN, SCIP_OKAY, SCIP_Real, SCIPblkmem(), SCIPconsGetData(), SCIPconsGetName(), SCIPcreateNlRow(), SCIPexprCreate(), SCIPexprtreeCreate(), SCIPexprtreeFree(), SCIPexprtreeSetVars(), SCIPisIntegral(), SCIPisNegative(), SCIPisPositive(), SCIPreleaseNlRow(), SCIPround(), SCIPvarGetLbGlobal(), SCIPvarGetUbGlobal(), and sign().

Referenced by proposeFeasibleSolution(), SCIP_DECL_CONSINITSOL(), and SCIPgetNlRowAbspower().

SCIP_DECL_QUADCONSUPGD()

static SCIP_DECL_QUADCONSUPGD ( quadconsUpgdAbspower  )

static

upgrades a quadratic constraint where the quadratic part is only a single square term and the quadratic variable sign is fixed to a signpower constraint

Definition at line 4406 of file cons_abspower.c.

References SCIP_QuadVarTerm::lincoef, NULL, SCIP_CALL, SCIP_DECL_NONLINCONSUPGD(), SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddCoefLinear(), SCIPaddVar(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsAbspower(), SCIPcreateConsLinear(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugGetSolVal, SCIPdebugMsg, SCIPdebugPrintCons, SCIPgetCoefsLinearVarsQuadratic(), SCIPgetLhsQuadratic(), SCIPgetLinearVarsQuadratic(), SCIPgetNBilinTermsQuadratic(), SCIPgetNLinearVarsQuadratic(), SCIPgetNQuadVarTermsQuadratic(), SCIPgetQuadVarTermsQuadratic(), SCIPgetRhsQuadratic(), SCIPinfinity(), SCIPisInfinity(), SCIPisNegative(), SCIPisPositive(), SCIPisZero(), SCIPreleaseVar(), SCIPsnprintf(), SCIPvarGetLbGlobal(), SCIPvarGetUbGlobal(), SCIP_QuadVarTerm::sqrcoef, TRUE, and SCIP_QuadVarTerm::var.

Referenced by createNlRow().

SCIP_DECL_NONLINCONSUPGD()

static SCIP_DECL_NONLINCONSUPGD ( nonlinconsUpgdAbspower  )

static

tries to upgrade a nonlinear constraint into a absolute power constraint

Definition at line 4560 of file cons_abspower.c.

References FALSE, SCIP_Interval::inf, NULL, pow(), REALABS, SCIP_CALL, SCIP_DECL_EXPRGRAPHNODEREFORM(), SCIP_EXPR_INTPOWER, SCIP_EXPR_LINEAR, SCIP_EXPR_POLYNOMIAL, SCIP_EXPR_REALPOWER, SCIP_EXPR_SIGNPOWER, SCIP_EXPR_SQUARE, SCIP_EXPR_VARIDX, SCIP_EXPRCURV_UNKNOWN, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddCoefLinear(), SCIPaddVar(), SCIPconsGetHdlr(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsAbspower(), SCIPcreateConsLinear(), SCIPcreateConsNonlinear2(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugGetSolVal, SCIPdebugMsg, SCIPexprGetMonomialCoef(), SCIPexprGetMonomialExponents(), SCIPexprGetMonomialNFactors(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNodeChildren(), SCIPexprgraphGetNodeCurvature(), SCIPexprgraphGetNodeDepth(), SCIPexprgraphGetNodeIntPowerExponent(), SCIPexprgraphGetNodeLinearCoefs(), SCIPexprgraphGetNodeLinearConstant(), SCIPexprgraphGetNodeNChildren(), SCIPexprgraphGetNodeOperator(), SCIPexprgraphGetNodePolynomialConstant(), SCIPexprgraphGetNodePolynomialMonomials(), SCIPexprgraphGetNodePolynomialNMonomials(), SCIPexprgraphGetNodePosition(), SCIPexprgraphGetNodeRealPowerExponent(), SCIPexprgraphGetNodeSignPowerExponent(), SCIPexprgraphGetNodeVal(), SCIPexprgraphGetNodeVar(), SCIPgetExprgraphNodeNonlinear(), SCIPgetExprgraphNonlinear(), SCIPgetLhsNonlinear(), SCIPgetLinearCoefsNonlinear(), SCIPgetLinearVarsNonlinear(), SCIPgetNLinearVarsNonlinear(), SCIPgetRhsNonlinear(), SCIPinfinity(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPisInfinity(), SCIPisIntegral(), SCIPisZero(), SCIPreleaseVar(), SCIPround(), SCIPsnprintf(), SCIP_Interval::sup, and TRUE.

Referenced by SCIP_DECL_QUADCONSUPGD().

SCIP_DECL_EXPRGRAPHNODEREFORM()

static SCIP_DECL_EXPRGRAPHNODEREFORM ( exprgraphnodeReformAbspower  )

static

tries to reformulate a expression graph node via introducing a absolute power constraint if node fits to absolute power and has indefinte curvature and has no nonlinear parents and has siblings, then replace by auxvar and absolute power constraint if it still has nonlinear parents, then we wait to see if reformulation code move node into auxiliary constraint, so we do not add unnessary auxiliary variables for something like an x^2 in an exp(x^2) if it has no siblings, then we let the upgrading for nonlinear constraints take care of it, since it may be able to upgrade the constraint as a whole and can take the constraint sides into account too (may need only <=/>= auxcons)

Definition at line 4913 of file cons_abspower.c.

References enforceConstraint(), FALSE, SCIP_Interval::inf, NULL, pow(), REALABS, SCIP_CALL, SCIP_EXPR_INTPOWER, SCIP_EXPR_LINEAR, SCIP_EXPR_POLYNOMIAL, SCIP_EXPR_REALPOWER, SCIP_EXPR_SIGNPOWER, SCIP_EXPR_SQUARE, SCIP_EXPR_VARIDX, SCIP_EXPRCURV_UNKNOWN, SCIP_MAXSTRLEN, SCIP_OKAY, SCIP_Real, SCIP_VARTYPE_CONTINUOUS, SCIPaddCons(), SCIPaddVar(), SCIPblkmem(), SCIPcreateConsAbspower(), SCIPcreateConsNonlinear2(), SCIPcreateVar(), SCIPdebugAddSolVal, SCIPdebugGetSolVal, SCIPdebugMsg, SCIPdebugPrintCons, SCIPexprGetMonomialCoef(), SCIPexprGetMonomialExponents(), SCIPexprGetMonomialNFactors(), SCIPexprgraphAddNode(), SCIPexprgraphAddVars(), SCIPexprgraphCreateNodeLinear(), SCIPexprgraphGetNodeBounds(), SCIPexprgraphGetNodeChildren(), SCIPexprgraphGetNodeCurvature(), SCIPexprgraphGetNodeDepth(), SCIPexprgraphGetNodeIntPowerExponent(), SCIPexprgraphGetNodeLinearCoefs(), SCIPexprgraphGetNodeLinearConstant(), SCIPexprgraphGetNodeNChildren(), SCIPexprgraphGetNodeOperator(), SCIPexprgraphGetNodePolynomialConstant(), SCIPexprgraphGetNodePolynomialMonomials(), SCIPexprgraphGetNodePolynomialNMonomials(), SCIPexprgraphGetNodePosition(), SCIPexprgraphGetNodeRealPowerExponent(), SCIPexprgraphGetNodeSignPowerExponent(), SCIPexprgraphGetNodeVal(), SCIPexprgraphGetNodeVar(), SCIPexprgraphHasNodeNonlinearAncestor(), SCIPexprgraphHasNodeSibling(), SCIPexprgraphSetVarNodeValue(), SCIPfeastol(), SCIPinfinity(), SCIPintervalGetInf(), SCIPintervalGetSup(), SCIPisIntegral(), SCIPisZero(), SCIPreleaseCons(), SCIPreleaseVar(), SCIPround(), SCIPsnprintf(), SIGN, SCIP_Interval::sup, and TRUE.

Referenced by SCIP_DECL_NONLINCONSUPGD().

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 5172 of file cons_abspower.c.

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

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

SCIP_DECL_CONSHDLRCOPY()

static SCIP_DECL_CONSHDLRCOPY ( conshdlrCopyAbspower  )

static

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

Definition at line 5371 of file cons_abspower.c.

References CONSHDLR_NAME, NULL, SCIP_CALL, SCIP_DECL_CONSFREE(), SCIP_OKAY, SCIPconshdlrGetName(), SCIPincludeConshdlrAbspower(), and TRUE.

Referenced by enforceConstraint().

SCIP_DECL_CONSFREE()

static SCIP_DECL_CONSFREE ( consFreeAbspower  )

static

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

Definition at line 5387 of file cons_abspower.c.

References NULL, SCIP_DECL_CONSINIT(), SCIP_OKAY, SCIPconshdlrGetData(), and SCIPfreeBlockMemory.

Referenced by SCIP_DECL_CONSHDLRCOPY().

SCIP_DECL_CONSINIT()

static SCIP_DECL_CONSINIT ( consInitAbspower  )

static

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

Definition at line 5404 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSFREE().

SCIP_DECL_CONSEXIT()

static SCIP_DECL_CONSEXIT ( consExitAbspower  )

static

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

Definition at line 5425 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSINIT().

SCIP_DECL_CONSINITPRE()

static SCIP_DECL_CONSINITPRE ( consInitpreAbspower  )

static

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

Definition at line 5444 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSEXIT().

SCIP_DECL_CONSEXITPRE()

static SCIP_DECL_CONSEXITPRE ( consExitpreAbspower  )

static

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

Definition at line 5461 of file cons_abspower.c.

References NULL, SCIP_DECL_CONSINITSOL(), SCIP_OKAY, SCIPconsIsAdded(), and SCIPenableNLP().

Referenced by SCIP_DECL_CONSINITPRE().

SCIP_DECL_CONSINITSOL()

static SCIP_DECL_CONSINITSOL ( consInitsolAbspower  )

static

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

Definition at line 5485 of file cons_abspower.c.

References CONSHDLR_NAME, createNlRow(), FALSE, NULL, pow(), roots, ROOTS_KNOWN, SCIP_CALL, SCIP_DECL_CONSEXITSOL(), SCIP_ERROR, SCIP_EVENTTYPE_SOLFOUND, SCIP_OKAY, SCIP_Real, SCIPaddNlRow(), SCIPcatchEvent(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPconsIsEnabled(), SCIPdebugMsg, SCIPerrorMessage, SCIPfindEventhdlr(), SCIPfloor(), SCIPisEQ(), SCIPisIntegral(), SCIPisNLPConstructed(), and SCIPisZero().

Referenced by SCIP_DECL_CONSEXITPRE().

SCIP_DECL_CONSEXITSOL()

static SCIP_DECL_CONSEXITSOL ( consExitsolAbspower  )

static

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

Definition at line 5593 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSINITSOL().

SCIP_DECL_CONSDELETE()

static SCIP_DECL_CONSDELETE ( consDeleteAbspower  )

static

frees specific constraint data

Definition at line 5635 of file cons_abspower.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSTRANS(), SCIP_OKAY, SCIPfreeBlockMemory, and SCIPreleaseNlRow().

Referenced by SCIP_DECL_CONSEXITSOL().

SCIP_DECL_CONSTRANS()

static SCIP_DECL_CONSTRANS ( consTransAbspower  )

static

transforms constraint data into data belonging to the transformed problem

Definition at line 5658 of file cons_abspower.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSINITLP(), SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPconsIsChecked(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateCons(), SCIPduplicateBlockMemory, SCIPgetTransformedVar(), SCIPmarkDoNotMultaggrVar(), and SCIPvarIsActive().

Referenced by SCIP_DECL_CONSDELETE().

SCIP_DECL_CONSINITLP()

static SCIP_DECL_CONSINITLP ( consInitlpAbspower  )

static

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

we add secant underestimators

Definition at line 5696 of file cons_abspower.c.

References FALSE, generateLinearizationCut(), generateSecantCutNoCheck(), INITLPMAXVARVAL, MIN, NULL, SCIP_CALL, SCIP_DECL_CONSSEPALP(), SCIP_OKAY, SCIP_Real, SCIPaddCut(), SCIPaddRowIndicator(), SCIPconsGetData(), SCIPconshdlrGetData(), SCIPgetRowMaxCoef(), SCIPgetRowMinCoef(), SCIPisInfinity(), SCIPisNegative(), SCIPisPositive(), SCIPisRelEQ(), SCIPreleaseRow(), SCIProwGetRhs(), SCIProwIsLocal(), SCIPvarGetLbGlobal(), and SCIPvarGetUbGlobal().

Referenced by SCIP_DECL_CONSTRANS().

SCIP_DECL_CONSSEPALP()

static SCIP_DECL_CONSSEPALP ( consSepalpAbspower  )

static

separation method of constraint handler for LP solutions

Definition at line 5867 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSINITLP().

SCIP_DECL_CONSSEPASOL()

static SCIP_DECL_CONSSEPASOL ( consSepasolAbspower  )

static

separation method of constraint handler for arbitrary primal solutions

Definition at line 6022 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSSEPALP().

SCIP_DECL_CONSENFOLP()

static SCIP_DECL_CONSENFOLP ( consEnfolpAbspower  )

static

constraint enforcing method of constraint handler for LP solutions

Definition at line 6062 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSSEPASOL().

SCIP_DECL_CONSENFORELAX()

static SCIP_DECL_CONSENFORELAX ( consEnforelaxAbspower  )

static

constraint enforcing method of constraint handler for relaxation solutions

Definition at line 6071 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSENFOLP().

SCIP_DECL_CONSENFOPS()

static SCIP_DECL_CONSENFOPS ( consEnfopsAbspower  )

static

constraint enforcing method of constraint handler for pseudo solutions

Definition at line 6080 of file cons_abspower.c.

References computeViolations(), NULL, propagateCons(), proposeBranchingPoint(), SCIP_Bool, SCIP_CALL, SCIP_CONSADDED, SCIP_CUTOFF, SCIP_DECL_CONSPROP(), SCIP_FEASIBLE, SCIP_INFEASIBLE, SCIP_OKAY, SCIP_REDUCEDDOM, SCIP_SOLVELP, SCIPaddExternBranchCand(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPdebugMsg, SCIPfeastol(), SCIPisGT(), SCIPisRelEQ(), SCIPvarGetLbLocal(), SCIPvarGetUbLocal(), and TRUE.

Referenced by SCIP_DECL_CONSENFORELAX().

SCIP_DECL_CONSPROP()

static SCIP_DECL_CONSPROP ( consPropAbspower  )

static

domain propagation method of constraint handler

Definition at line 6175 of file cons_abspower.c.

References FALSE, NULL, propagateCons(), SCIP_Bool, SCIP_CALL, SCIP_CUTOFF, SCIP_DECL_CONSPRESOL(), SCIP_DIDNOTFIND, SCIP_OKAY, and SCIP_REDUCEDDOM.

Referenced by SCIP_DECL_CONSENFOPS().

SCIP_DECL_CONSPRESOL()

static SCIP_DECL_CONSPRESOL ( consPresolAbspower  )

static

presolving method of constraint handler

Definition at line 6217 of file cons_abspower.c.

References checkFixedVariables(), NULL, presolveDual(), presolveFindDuplicates(), propagateCons(), propagateVarbounds(), REALABS, SCIP_Bool, SCIP_CALL, SCIP_CONSADDED, SCIP_CUTOFF, SCIP_DECL_CONSRESPROP(), SCIP_DIDNOTFIND, SCIP_INVALIDDATA, SCIP_OKAY, SCIP_PRESOLTIMING_MEDIUM, SCIP_Real, SCIP_REDUCEDDOM, SCIP_SUCCESS, SCIP_VARTYPE_CONTINUOUS, SCIP_VARTYPE_IMPLINT, SCIPABORT, SCIPaddCoefLinear(), SCIPaddCons(), SCIPallowDualReds(), SCIPallowObjProp(), SCIPchgVarType(), SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPconsIsChecked(), SCIPconsIsDeleted(), SCIPconsIsDynamic(), SCIPconsIsEnforced(), SCIPconsIsInitial(), SCIPconsIsLocal(), SCIPconsIsModifiable(), SCIPconsIsPropagated(), SCIPconsIsRemovable(), SCIPconsIsSeparated(), SCIPconsIsStickingAtNode(), SCIPcreateConsLinear(), SCIPcreateConsVarbound(), SCIPdebugMsg, SCIPdebugPrintCons, SCIPdelCons(), SCIPerrorMessage, SCIPfixVar(), SCIPinfinity(), SCIPisEQ(), SCIPisInfinity(), SCIPisIntegral(), SCIPisZero(), SCIPreleaseCons(), SCIPvarGetName(), SCIPvarGetType(), SCIPvarIsBinary(), SIGN, and TRUE.

Referenced by SCIP_DECL_CONSPROP().

SCIP_DECL_CONSRESPROP()

static SCIP_DECL_CONSRESPROP ( consRespropAbspower  )

static

resolves a propagation on the given variable by supplying the variables needed for applying the corresponding propagation rule (see propagateCons()): (1) left hand side and bounds on z -> lower bound on x (2) left hand side and upper bound on x -> bound on z (3) right hand side and bounds on z -> upper bound on x (4) right hand side and lower bound on x -> bound on z

Definition at line 6539 of file cons_abspower.c.

References NULL, resolvePropagation(), SCIP_CALL, SCIP_DECL_CONSLOCK(), SCIP_OKAY, and SCIP_SUCCESS.

Referenced by SCIP_DECL_CONSPRESOL().

SCIP_DECL_CONSLOCK()

static SCIP_DECL_CONSLOCK ( consLockAbspower  )

static

variable rounding lock method of constraint handler

Definition at line 6552 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSRESPROP().

SCIP_DECL_CONSACTIVE()

static SCIP_DECL_CONSACTIVE ( consActiveAbspower  )

static

constraint activation notification method of constraint handler

Definition at line 6610 of file cons_abspower.c.

References FALSE, NULL, SCIP_DECL_CONSENABLE(), SCIP_OKAY, and SCIPconshdlrGetData().

Referenced by SCIP_DECL_CONSLOCK().

SCIP_DECL_CONSENABLE()

static SCIP_DECL_CONSENABLE ( consEnableAbspower  )

static

constraint enabling notification method of constraint handler

Definition at line 6627 of file cons_abspower.c.

References catchVarEvents(), NULL, SCIP_CALL, SCIP_DECL_CONSDISABLE(), SCIP_OKAY, and SCIPconshdlrGetData().

Referenced by SCIP_DECL_CONSACTIVE().

SCIP_DECL_CONSDISABLE()

static SCIP_DECL_CONSDISABLE ( consDisableAbspower  )

static

constraint disabling notification method of constraint handler

Definition at line 6646 of file cons_abspower.c.

References dropVarEvents(), NULL, SCIP_CALL, SCIP_DECL_CONSPRINT(), SCIP_OKAY, and SCIPconshdlrGetData().

Referenced by SCIP_DECL_CONSENABLE().

SCIP_DECL_CONSPRINT()

static SCIP_DECL_CONSPRINT ( consPrintAbspower  )

static

constraint display method of constraint handler

Definition at line 6665 of file cons_abspower.c.

References NULL, SCIP_CALL, SCIP_DECL_CONSCHECK(), SCIP_OKAY, SCIPconsGetData(), SCIPinfoMessage(), SCIPisEQ(), SCIPisInfinity(), SCIPwriteVarName(), and TRUE.

Referenced by SCIP_DECL_CONSDISABLE().

SCIP_DECL_CONSCHECK()

static SCIP_DECL_CONSCHECK ( consCheckAbspower  )

static

feasibility check method of constraint handler for integral solutions

Definition at line 6712 of file cons_abspower.c.

References computeViolation(), MAX, NULL, proposeFeasibleSolution(), SCIP_Bool, SCIP_CALL, SCIP_DECL_CONSCOPY(), SCIP_FEASIBLE, SCIP_INFEASIBLE, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIP_STAGE_PROBLEM, SCIP_STAGE_SOLVED, SCIPconsGetData(), SCIPconsGetName(), SCIPconshdlrGetData(), SCIPfeastol(), SCIPgetStage(), SCIPinfoMessage(), SCIPisGT(), and SCIPupdateStartpointHeurSubNlp().

Referenced by SCIP_DECL_CONSPRINT().

SCIP_DECL_CONSCOPY()

static SCIP_DECL_CONSCOPY ( consCopyAbspower  )

static

constraint copying method of constraint handler

Definition at line 6779 of file cons_abspower.c.

References FALSE, NULL, SCIP_CALL, SCIP_DECL_CONSPARSE(), SCIP_OKAY, SCIPconsGetData(), SCIPconsGetName(), SCIPcreateConsAbspower(), SCIPgetVarCopy(), and TRUE.

Referenced by SCIP_DECL_CONSCHECK().

SCIP_DECL_CONSPARSE()

static SCIP_DECL_CONSPARSE ( consParseAbspower  )

static

constraint parsing method of constraint handler

Definition at line 6817 of file cons_abspower.c.

References FALSE, NULL, SCIP_CALL, SCIP_DECL_CONSGETVARS(), SCIP_INVALIDDATA, SCIP_OKAY, SCIP_Real, SCIP_VERBLEVEL_MINIMAL, SCIPABORT, SCIPcreateConsAbspower(), SCIPdebugMsg, SCIPinfinity(), SCIPparseVarName(), SCIPstrToRealValue(), SCIPverbMessage(), and TRUE.

Referenced by SCIP_DECL_CONSCOPY().

SCIP_DECL_CONSGETVARS()

static SCIP_DECL_CONSGETVARS ( consGetVarsAbspower  )

static

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

Definition at line 6980 of file cons_abspower.c.

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

Referenced by SCIP_DECL_CONSPARSE().

SCIP_DECL_CONSGETNVARS()

static SCIP_DECL_CONSGETNVARS ( consGetNVarsAbspower  )

static

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

Definition at line 7004 of file cons_abspower.c.

References SCIP_OKAY, SCIPincludeConshdlrAbspower(), and TRUE.

Referenced by SCIP_DECL_CONSGETVARS().

Variable Documentation

roots

SCIP_Real roots[ROOTS_KNOWN+1]

static

Initial value:

= {
   -1.0,                     
   -1.0,                     
   0.41421356237309504880,   
   0.5,                      
   0.56042566045031785945,   
   0.60582958618826802099,   
   0.64146546982884663257,   
   0.67033204760309682774,   
   0.69428385661425826738,   
   0.71453772716733489700,   
   0.73192937842370733350    
}

The positive root of the polynomial (n-1) y^n + n y^(n-1) - 1 is needed in separation. Here we store these roots for small integer values of n.

Definition at line 88 of file cons_abspower.c.

Referenced by SCIP_DECL_CONSINITSOL().