Scippy

SCIP

Solving Constraint Integer Programs

Detailed Description

handler for sine and cosine expressions

Author
Fabian Wegscheider

The estimator/separator code always computes underestimators for sin(x). For overestimators of cos(x), we first reduce to underestimators of sin(x).

Overestimator for sin(x): Assume that a*y+b <= sin(y) for y in [-ub,-lb]. Then we have a*(-y)-b >= -sin(y) = sin(-y) for y in [-ub,-lb]. Thus, a*x-b >= sin(x) for x in [lb,ub].

Underestimator for cos(x): Assume that a*y+b <= sin(y) for y in [lb+pi/2,ub+pi/2]. Then we have a*(x+pi/2) + b <= sin(x+pi/2) = cos(x) for x in [lb,ub]. Thus, a*x + (b+a*pi/2) <= cos(x) for x in [lb,ub].

Overestimator for cos(x): Assume that a*z+b <= sin(z) for z in [-(ub+pi/2),-(lb+pi/2)]. Then, a*y-b >= sin(y) for y in [lb+pi/2,ub+pi/2]. Then, a*x-b+a*pi/2 >= cos(x) for x in [lb,ub].

Definition in file expr_trig.c.

#include <string.h>
#include <math.h>
#include "scip/expr_trig.h"
#include "scip/expr_value.h"

Go to the source code of this file.

Macros

#define SINEXPRHDLR_NAME   "sin"
 
#define SINEXPRHDLR_DESC   "sine expression"
 
#define SINEXPRHDLR_PRECEDENCE   91000
 
#define SINEXPRHDLR_HASHKEY   SCIPcalcFibHash(82457.0)
 
#define COSEXPRHDLR_NAME   "cos"
 
#define COSEXPRHDLR_DESC   "cosine expression"
 
#define COSEXPRHDLR_PRECEDENCE   92000
 
#define COSEXPRHDLR_HASHKEY   SCIPcalcFibHash(82463.0)
 
#define MAXCHILDABSVAL   1e+6
 
#define NEWTON_NITERATIONS   100
 
#define NEWTON_PRECISION   1e-12
 

Functions

static SCIP_DECL_NEWTONEVAL (function1)
 
static SCIP_DECL_NEWTONEVAL (derivative1)
 
static SCIP_DECL_NEWTONEVAL (function2)
 
static SCIP_DECL_NEWTONEVAL (derivative2)
 
static SCIP_Bool computeSecantSin (SCIP *scip, SCIP_Real *lincoef, SCIP_Real *linconst, SCIP_Real lb, SCIP_Real ub)
 
static SCIP_Bool computeLeftTangentSin (SCIP *scip, SCIP_Real *lincoef, SCIP_Real *linconst, SCIP_Real lb)
 
static SCIP_Bool computeRightTangentSin (SCIP *scip, SCIP_Real *lincoef, SCIP_Real *linconst, SCIP_Real ub)
 
static SCIP_Bool computeSolTangentSin (SCIP *scip, SCIP_Real *lincoef, SCIP_Real *linconst, SCIP_Real lb, SCIP_Real ub, SCIP_Real solpoint)
 
static SCIP_Bool computeLeftSecantSin (SCIP *scip, SCIP_Real *lincoef, SCIP_Real *linconst, SCIP_Real lb, SCIP_Real ub)
 
static SCIP_Bool computeRightSecantSin (SCIP *scip, SCIP_Real *lincoef, SCIP_Real *linconst, SCIP_Real lb, SCIP_Real ub)
 
static SCIP_RETCODE computeRevPropIntervalSin (SCIP *scip, SCIP_INTERVAL parentbounds, SCIP_INTERVAL childbounds, SCIP_INTERVAL *newbounds)
 
static SCIP_Bool computeEstimatorsTrig (SCIP *scip, SCIP_EXPR *expr, SCIP_Real *lincoef, SCIP_Real *linconst, SCIP_Real refpoint, SCIP_Real childlb, SCIP_Real childub, SCIP_Bool underestimate)
 
static SCIP_RETCODE computeInitialCutsTrig (SCIP *scip, SCIP_EXPR *expr, SCIP_Real childlb, SCIP_Real childub, SCIP_Bool underestimate, SCIP_Real **coefs, SCIP_Real *constant, int *nreturned)
 
static SCIP_EXPRCURV computeCurvatureSin (SCIP_EXPRCURV childcurvature, SCIP_Real lb, SCIP_Real ub)
 
static SCIP_DECL_EXPRCOPYHDLR (copyhdlrSin)
 
static SCIP_DECL_EXPRSIMPLIFY (simplifySin)
 
static SCIP_DECL_EXPRPARSE (parseSin)
 
static SCIP_DECL_EXPREVAL (evalSin)
 
static SCIP_DECL_EXPRBWDIFF (bwdiffSin)
 
static SCIP_DECL_EXPRFWDIFF (fwdiffSin)
 
static SCIP_DECL_EXPRBWFWDIFF (bwfwdiffSin)
 
static SCIP_DECL_EXPRINTEVAL (intevalSin)
 
static SCIP_DECL_EXPRINITESTIMATES (initEstimatesSin)
 
static SCIP_DECL_EXPRESTIMATE (estimateSin)
 
static SCIP_DECL_EXPRREVERSEPROP (reversepropSin)
 
static SCIP_DECL_EXPRHASH (hashSin)
 
static SCIP_DECL_EXPRCURVATURE (curvatureSin)
 
static SCIP_DECL_EXPRMONOTONICITY (monotonicitySin)
 
static SCIP_DECL_EXPRCOPYHDLR (copyhdlrCos)
 
static SCIP_DECL_EXPRSIMPLIFY (simplifyCos)
 
static SCIP_DECL_EXPRPARSE (parseCos)
 
static SCIP_DECL_EXPREVAL (evalCos)
 
static SCIP_DECL_EXPRBWDIFF (bwdiffCos)
 
static SCIP_DECL_EXPRINTEVAL (intevalCos)
 
static SCIP_DECL_EXPRINITESTIMATES (initEstimatesCos)
 
static SCIP_DECL_EXPRESTIMATE (estimateCos)
 
static SCIP_DECL_EXPRREVERSEPROP (reversepropCos)
 
static SCIP_DECL_EXPRHASH (hashCos)
 
static SCIP_DECL_EXPRCURVATURE (curvatureCos)
 
static SCIP_DECL_EXPRMONOTONICITY (monotonicityCos)
 
SCIP_RETCODE SCIPincludeExprhdlrSin (SCIP *scip)
 
SCIP_RETCODE SCIPincludeExprhdlrCos (SCIP *scip)
 
SCIP_RETCODE SCIPcreateExprSin (SCIP *scip, SCIP_EXPR **expr, SCIP_EXPR *child, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
 
SCIP_RETCODE SCIPcreateExprCos (SCIP *scip, SCIP_EXPR **expr, SCIP_EXPR *child, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
 
SCIP_Bool SCIPisExprSin (SCIP *scip, SCIP_EXPR *expr)
 
SCIP_Bool SCIPisExprCos (SCIP *scip, SCIP_EXPR *expr)
 

Macro Definition Documentation

◆ SINEXPRHDLR_NAME

#define SINEXPRHDLR_NAME   "sin"

◆ SINEXPRHDLR_DESC

#define SINEXPRHDLR_DESC   "sine expression"

Definition at line 51 of file expr_trig.c.

Referenced by SCIPincludeExprhdlrSin().

◆ SINEXPRHDLR_PRECEDENCE

#define SINEXPRHDLR_PRECEDENCE   91000

Definition at line 52 of file expr_trig.c.

Referenced by SCIPincludeExprhdlrSin().

◆ SINEXPRHDLR_HASHKEY

#define SINEXPRHDLR_HASHKEY   SCIPcalcFibHash(82457.0)

Definition at line 53 of file expr_trig.c.

Referenced by SCIP_DECL_EXPRHASH().

◆ COSEXPRHDLR_NAME

#define COSEXPRHDLR_NAME   "cos"

◆ COSEXPRHDLR_DESC

#define COSEXPRHDLR_DESC   "cosine expression"

Definition at line 56 of file expr_trig.c.

Referenced by SCIPincludeExprhdlrCos().

◆ COSEXPRHDLR_PRECEDENCE

#define COSEXPRHDLR_PRECEDENCE   92000

Definition at line 57 of file expr_trig.c.

Referenced by SCIPincludeExprhdlrCos().

◆ COSEXPRHDLR_HASHKEY

#define COSEXPRHDLR_HASHKEY   SCIPcalcFibHash(82463.0)

Definition at line 58 of file expr_trig.c.

Referenced by SCIP_DECL_EXPRHASH().

◆ MAXCHILDABSVAL

#define MAXCHILDABSVAL   1e+6

maximum absolute value that is accepted for propagation

Definition at line 60 of file expr_trig.c.

Referenced by computeRevPropIntervalSin().

◆ NEWTON_NITERATIONS

#define NEWTON_NITERATIONS   100

Definition at line 61 of file expr_trig.c.

Referenced by computeLeftSecantSin(), computeRightSecantSin(), and computeSolTangentSin().

◆ NEWTON_PRECISION

#define NEWTON_PRECISION   1e-12

Definition at line 62 of file expr_trig.c.

Referenced by computeLeftSecantSin(), computeRightSecantSin(), and computeSolTangentSin().

Function Documentation

◆ SCIP_DECL_NEWTONEVAL() [1/4]

static SCIP_DECL_NEWTONEVAL ( function1  )
static

evaluates the function a*x + b - sin(x) for some coefficient a and constant b at a given point p

the constants a and b are expected to be stored in that order in params

Definition at line 73 of file expr_trig.c.

References NULL.

◆ SCIP_DECL_NEWTONEVAL() [2/4]

static SCIP_DECL_NEWTONEVAL ( derivative1  )
static

evaluates the derivative of a*x + b - sin(x) for some coefficient a and constant b at a given point p

the constants a and b are expected to be stored in that order in params

Definition at line 86 of file expr_trig.c.

References NULL.

◆ SCIP_DECL_NEWTONEVAL() [3/4]

static SCIP_DECL_NEWTONEVAL ( function2  )
static

evaluates the function sin(x) + (alpha - x)*cos(x) - sin(alpha) for some constant alpha at a given point p

the constant alpha is expected to be stored in params

Definition at line 99 of file expr_trig.c.

References NULL.

◆ SCIP_DECL_NEWTONEVAL() [4/4]

static SCIP_DECL_NEWTONEVAL ( derivative2  )
static

evaluates the derivative of sin(x) + (alpha - x)*cos(x) - sin(alpha) for some constant alpha at a given point p

the constant alpha is expected to be stored in params

Definition at line 112 of file expr_trig.c.

References NULL.

◆ computeSecantSin()

static SCIP_Bool computeSecantSin ( SCIP scip,
SCIP_Real lincoef,
SCIP_Real linconst,
SCIP_Real  lb,
SCIP_Real  ub 
)
static

helper function to compute the secant if it is a valid underestimator

returns true if the estimator was computed successfully

Parameters
scipSCIP data structure
lincoefbuffer to store linear coefficient of secant
linconstbuffer to store linear constant of secant
lblower bound of argument variable
ubupper bound of argument variable

Definition at line 125 of file expr_trig.c.

References FALSE, M_PI, NULL, and TRUE.

Referenced by computeEstimatorsTrig(), and computeInitialCutsTrig().

◆ computeLeftTangentSin()

static SCIP_Bool computeLeftTangentSin ( SCIP scip,
SCIP_Real lincoef,
SCIP_Real linconst,
SCIP_Real  lb 
)
static

helper function to compute the tangent at lower bound if it is underestimating

returns true if the underestimator was computed successfully

Parameters
scipSCIP data structure
lincoefbuffer to store linear coefficient of tangent
linconstbuffer to store linear constant of tangent
lblower bound of argument variable

Definition at line 157 of file expr_trig.c.

References FALSE, NULL, SCIPisInfinity(), and TRUE.

Referenced by computeInitialCutsTrig().

◆ computeRightTangentSin()

static SCIP_Bool computeRightTangentSin ( SCIP scip,
SCIP_Real lincoef,
SCIP_Real linconst,
SCIP_Real  ub 
)
static

helper function to compute the tangent at upper bound if it is an underestimator

returns true if the underestimator was computed successfully

Parameters
scipSCIP data structure
lincoefbuffer to store linear coefficient of tangent
linconstbuffer to store linear constant of tangent
ubupper bound of argument variable

Definition at line 190 of file expr_trig.c.

References FALSE, NULL, SCIPisInfinity(), and TRUE.

Referenced by computeInitialCutsTrig().

◆ computeSolTangentSin()

static SCIP_Bool computeSolTangentSin ( SCIP scip,
SCIP_Real lincoef,
SCIP_Real linconst,
SCIP_Real  lb,
SCIP_Real  ub,
SCIP_Real  solpoint 
)
static

helper function to compute the tangent at solution point if it is an underestimator

returns true if the underestimator was computed successfully

Parameters
scipSCIP data structure
lincoefbuffer to store linear coefficient of tangent
linconstbuffer to store linear constant of tangent
lblower bound of argument variable
ubupper bound of argument variable
solpointsolution point to be separated

Definition at line 219 of file expr_trig.c.

References FALSE, M_PI, NEWTON_NITERATIONS, NEWTON_PRECISION, NULL, SCIP_INVALID, SCIP_Real, SCIPcalcRootNewton(), SCIPisEQ(), SCIPisGE(), SCIPisGT(), SCIPisZero(), and TRUE.

Referenced by computeEstimatorsTrig().

◆ computeLeftSecantSin()

static SCIP_Bool computeLeftSecantSin ( SCIP scip,
SCIP_Real lincoef,
SCIP_Real linconst,
SCIP_Real  lb,
SCIP_Real  ub 
)
static

helper function to compute the secant between lower bound and some point of the graph such that it underestimates

returns true if the underestimator was computed successfully

Parameters
scipSCIP data structure
lincoefbuffer to store linear coefficient of tangent
linconstbuffer to store linear constant of tangent
lblower bound of argument variable
ubupper bound of argument variable

Definition at line 294 of file expr_trig.c.

References FALSE, M_PI, NEWTON_NITERATIONS, NEWTON_PRECISION, NULL, SCIP_INVALID, SCIP_Real, SCIPcalcRootNewton(), SCIPdebugMsg, SCIPisEQ(), SCIPisGE(), SCIPisInfinity(), SCIPisLE(), SCIPisZero(), and TRUE.

Referenced by computeEstimatorsTrig(), and computeInitialCutsTrig().

◆ computeRightSecantSin()

static SCIP_Bool computeRightSecantSin ( SCIP scip,
SCIP_Real lincoef,
SCIP_Real linconst,
SCIP_Real  lb,
SCIP_Real  ub 
)
static

helper function to compute the secant between upper bound and some point of the graph such that it underestimates

returns true if the underestimator was computed successfully

Parameters
scipSCIP data structure
lincoefbuffer to store linear coefficient of tangent
linconstbuffer to store linear constant of tangent
lblower bound of argument variable
ubupper bound of argument variable

Definition at line 381 of file expr_trig.c.

References FALSE, M_PI, NEWTON_NITERATIONS, NEWTON_PRECISION, NULL, SCIP_INVALID, SCIP_Real, SCIPcalcRootNewton(), SCIPisEQ(), SCIPisInfinity(), SCIPisLE(), SCIPisZero(), and TRUE.

Referenced by computeEstimatorsTrig(), and computeInitialCutsTrig().

◆ computeRevPropIntervalSin()

static SCIP_RETCODE computeRevPropIntervalSin ( SCIP scip,
SCIP_INTERVAL  parentbounds,
SCIP_INTERVAL  childbounds,
SCIP_INTERVAL newbounds 
)
static

helper function to compute the new interval for child in reverse propagation

Parameters
scipSCIP data structure
parentboundsbounds for sine expression
childboundsbounds for child expression
newboundsbuffer to store new child bounds

Definition at line 463 of file expr_trig.c.

References a, SCIP_Interval::inf, M_PI, MAXCHILDABSVAL, SCIP_OKAY, SCIP_Real, SCIPintervalSetBounds(), SCIPintervalSetEmpty(), SCIPisFeasGE(), SCIPisFeasLE(), SCIPisGT(), SCIPisInfinity(), SCIPisLT(), and SCIP_Interval::sup.

Referenced by SCIP_DECL_EXPRREVERSEPROP().

◆ computeEstimatorsTrig()

static SCIP_Bool computeEstimatorsTrig ( SCIP scip,
SCIP_EXPR expr,
SCIP_Real lincoef,
SCIP_Real linconst,
SCIP_Real  refpoint,
SCIP_Real  childlb,
SCIP_Real  childub,
SCIP_Bool  underestimate 
)
static

helper function to compute coefficients and constant term of a linear estimator at a given point

The function will try to compute the following estimators in that order:

  • soltangent: tangent at specified refpoint
  • secant: secant between the points (lb,sin(lb)) and (ub,sin(ub))
  • left secant: secant between lower bound and some point of the graph
  • right secant: secant between upper bound and some point of the graph

They are ordered such that a successful computation for one of them cannot be improved by following ones in terms of value at the reference point.

Parameters
scipSCIP data structure
exprsin or cos expression
lincoefbuffer to store the linear coefficient
linconstbuffer to store the constant term
refpointpoint at which to underestimate (can be SCIP_INVALID)
childlblower bound of child variable
childubupper bound of child variable
underestimatewhether the estimator should be underestimating

Definition at line 559 of file expr_trig.c.

References computeLeftSecantSin(), computeRightSecantSin(), computeSecantSin(), computeSolTangentSin(), FALSE, NULL, SCIP_Bool, SCIP_Real, SCIPexprGetHdlr(), SCIPexprGetNChildren(), SCIPexprhdlrGetName(), SCIPisEQ(), SCIPisLE(), and TRUE.

Referenced by SCIP_DECL_EXPRESTIMATE().

◆ computeInitialCutsTrig()

static SCIP_RETCODE computeInitialCutsTrig ( SCIP scip,
SCIP_EXPR expr,
SCIP_Real  childlb,
SCIP_Real  childub,
SCIP_Bool  underestimate,
SCIP_Real **  coefs,
SCIP_Real constant,
int *  nreturned 
)
static

helper function to create initial cuts for sine and cosine separation

The following 5 cuts can be generated:

  • secant: secant between the bounds (lb,sin(lb)) and (ub,sin(ub))
  • left/right secant: secant between lower/upper bound and some point of the graph
  • left/right tangent: tangents at the lower/upper bounds
Parameters
scipSCIP data structure
exprsin or cos expression
childlblower bound of child variable
childubupper bound of child variable
underestimatewhether the cuts should be underestimating
coefsbuffer to store coefficients of computed estimators
constantbuffer to store constant of computed estimators
nreturnedbuffer to store number of estimators that have been computed

Definition at line 639 of file expr_trig.c.

References computeLeftSecantSin(), computeLeftTangentSin(), computeRightSecantSin(), computeRightTangentSin(), computeSecantSin(), NULL, SCIP_Bool, SCIP_OKAY, SCIP_Real, SCIPexprGetHdlr(), SCIPexprGetNChildren(), SCIPexprhdlrGetName(), SCIPisEQ(), and SCIPisLE().

Referenced by SCIP_DECL_EXPRINITESTIMATES().

◆ computeCurvatureSin()

static SCIP_EXPRCURV computeCurvatureSin ( SCIP_EXPRCURV  childcurvature,
SCIP_Real  lb,
SCIP_Real  ub 
)
static
Parameters
childcurvaturecurvature of child
lblower bound of child
ubupper bound of child

Definition at line 724 of file expr_trig.c.

References M_PI, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_EXPRCURV_LINEAR, SCIP_EXPRCURV_UNKNOWN, and SCIP_Real.

Referenced by SCIP_DECL_EXPRCURVATURE().

◆ SCIP_DECL_EXPRCOPYHDLR() [1/2]

static SCIP_DECL_EXPRCOPYHDLR ( copyhdlrSin  )
static

expression handler copy callback

Definition at line 779 of file expr_trig.c.

References SCIP_CALL, SCIP_OKAY, and SCIPincludeExprhdlrSin().

◆ SCIP_DECL_EXPRSIMPLIFY() [1/2]

static SCIP_DECL_EXPRSIMPLIFY ( simplifySin  )
static

simplifies a sine expression

Evaluates the sine value function when its child is a value expression.

TODO: add further simplifications

Definition at line 793 of file expr_trig.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPcaptureExpr(), SCIPcreateExprValue(), SCIPexprGetChildren(), SCIPexprGetNChildren(), SCIPgetValueExprValue(), and SCIPisExprValue().

◆ SCIP_DECL_EXPRPARSE() [1/2]

static SCIP_DECL_EXPRPARSE ( parseSin  )
static

expression parse callback

Definition at line 824 of file expr_trig.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPcreateExprSin(), SCIPparseExpr(), SCIPreleaseExpr(), and TRUE.

◆ SCIP_DECL_EXPREVAL() [1/2]

static SCIP_DECL_EXPREVAL ( evalSin  )
static

expression (point-) evaluation callback

Definition at line 848 of file expr_trig.c.

References NULL, SCIP_INVALID, SCIP_OKAY, SCIPexprGetChildren(), SCIPexprGetEvalValue(), and SCIPexprGetNChildren().

◆ SCIP_DECL_EXPRBWDIFF() [1/2]

static SCIP_DECL_EXPRBWDIFF ( bwdiffSin  )
static

expression derivative evaluation callback

Definition at line 861 of file expr_trig.c.

References NULL, SCIP_INVALID, SCIP_OKAY, SCIPexprGetChildren(), SCIPexprGetEvalValue(), SCIPexprGetHdlr(), and SCIPexprhdlrGetName().

◆ SCIP_DECL_EXPRFWDIFF()

static SCIP_DECL_EXPRFWDIFF ( fwdiffSin  )
static

derivative evaluation callback

Computes <gradient, children.dot>, that is, cos(child) dot(child).

Definition at line 883 of file expr_trig.c.

References NULL, SCIP_INVALID, SCIP_OKAY, SCIPexprGetChildren(), SCIPexprGetDot(), SCIPexprGetEvalValue(), SCIPexprGetHdlr(), and SCIPexprhdlrGetName().

◆ SCIP_DECL_EXPRBWFWDIFF()

static SCIP_DECL_EXPRBWFWDIFF ( bwfwdiffSin  )
static

expression backward forward derivative evaluation callback

Computes partial/partial child ( <gradient, children.dot> ), that is, -sin(child) dot(child).

Definition at line 905 of file expr_trig.c.

References NULL, SCIP_INVALID, SCIP_OKAY, SCIPexprGetChildren(), SCIPexprGetDot(), SCIPexprGetEvalValue(), SCIPexprGetHdlr(), and SCIPexprhdlrGetName().

◆ SCIP_DECL_EXPRINTEVAL() [1/2]

static SCIP_DECL_EXPRINTEVAL ( intevalSin  )
static

◆ SCIP_DECL_EXPRINITESTIMATES() [1/2]

static SCIP_DECL_EXPRINITESTIMATES ( initEstimatesSin  )
static

separation initialization callback

Definition at line 944 of file expr_trig.c.

References computeInitialCutsTrig(), SCIP_CALL, SCIP_OKAY, SCIP_Real, and SCIPisRelEQ().

◆ SCIP_DECL_EXPRESTIMATE() [1/2]

static SCIP_DECL_EXPRESTIMATE ( estimateSin  )
static

expression estimator callback

Definition at line 964 of file expr_trig.c.

References computeEstimatorsTrig(), NULL, SCIP_OKAY, SCIPexprGetHdlr(), SCIPexprGetNChildren(), SCIPexprhdlrGetName(), SINEXPRHDLR_NAME, and TRUE.

◆ SCIP_DECL_EXPRREVERSEPROP() [1/2]

static SCIP_DECL_EXPRREVERSEPROP ( reversepropSin  )
static

expression reverse propagation callback

Definition at line 986 of file expr_trig.c.

References computeRevPropIntervalSin(), NULL, SCIP_CALL, SCIP_OKAY, SCIPexprGetNChildren(), SCIPintervalGetInf(), and SCIPintervalGetSup().

◆ SCIP_DECL_EXPRHASH() [1/2]

static SCIP_DECL_EXPRHASH ( hashSin  )
static

sine hash callback

Definition at line 1002 of file expr_trig.c.

References NULL, SCIP_OKAY, SCIPexprGetNChildren(), and SINEXPRHDLR_HASHKEY.

◆ SCIP_DECL_EXPRCURVATURE() [1/2]

static SCIP_DECL_EXPRCURVATURE ( curvatureSin  )
static

◆ SCIP_DECL_EXPRMONOTONICITY() [1/2]

static SCIP_DECL_EXPRMONOTONICITY ( monotonicitySin  )
static

◆ SCIP_DECL_EXPRCOPYHDLR() [2/2]

static SCIP_DECL_EXPRCOPYHDLR ( copyhdlrCos  )
static

expression handler copy callback

Definition at line 1089 of file expr_trig.c.

References SCIP_CALL, SCIP_OKAY, and SCIPincludeExprhdlrCos().

◆ SCIP_DECL_EXPRSIMPLIFY() [2/2]

static SCIP_DECL_EXPRSIMPLIFY ( simplifyCos  )
static

simplifies a cosine expression

Evaluates the cosine value function when its child is a value expression.

TODO: add further simplifications

Definition at line 1103 of file expr_trig.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPcaptureExpr(), SCIPcreateExprValue(), SCIPexprGetChildren(), SCIPexprGetNChildren(), SCIPgetValueExprValue(), and SCIPisExprValue().

◆ SCIP_DECL_EXPRPARSE() [2/2]

static SCIP_DECL_EXPRPARSE ( parseCos  )
static

expression parse callback

Definition at line 1134 of file expr_trig.c.

References NULL, SCIP_CALL, SCIP_OKAY, SCIPcreateExprCos(), SCIPparseExpr(), SCIPreleaseExpr(), and TRUE.

◆ SCIP_DECL_EXPREVAL() [2/2]

static SCIP_DECL_EXPREVAL ( evalCos  )
static

expression (point-) evaluation callback

Definition at line 1158 of file expr_trig.c.

References NULL, SCIP_INVALID, SCIP_OKAY, SCIPexprGetChildren(), SCIPexprGetEvalValue(), and SCIPexprGetNChildren().

◆ SCIP_DECL_EXPRBWDIFF() [2/2]

static SCIP_DECL_EXPRBWDIFF ( bwdiffCos  )
static

expression derivative evaluation callback

Definition at line 1171 of file expr_trig.c.

References NULL, SCIP_INVALID, SCIP_OKAY, SCIPexprGetChildren(), SCIPexprGetEvalValue(), SCIPexprGetHdlr(), and SCIPexprhdlrGetName().

◆ SCIP_DECL_EXPRINTEVAL() [2/2]

static SCIP_DECL_EXPRINTEVAL ( intevalCos  )
static

◆ SCIP_DECL_EXPRINITESTIMATES() [2/2]

static SCIP_DECL_EXPRINITESTIMATES ( initEstimatesCos  )
static

separation initialization callback

Definition at line 1209 of file expr_trig.c.

References computeInitialCutsTrig(), SCIP_CALL, SCIP_OKAY, SCIP_Real, and SCIPisRelEQ().

◆ SCIP_DECL_EXPRESTIMATE() [2/2]

static SCIP_DECL_EXPRESTIMATE ( estimateCos  )
static

expression estimator callback

Definition at line 1229 of file expr_trig.c.

References computeEstimatorsTrig(), COSEXPRHDLR_NAME, NULL, SCIP_OKAY, SCIPexprGetHdlr(), SCIPexprGetNChildren(), SCIPexprhdlrGetName(), and TRUE.

◆ SCIP_DECL_EXPRREVERSEPROP() [2/2]

static SCIP_DECL_EXPRREVERSEPROP ( reversepropCos  )
static

◆ SCIP_DECL_EXPRHASH() [2/2]

static SCIP_DECL_EXPRHASH ( hashCos  )
static

cosine hash callback

Definition at line 1285 of file expr_trig.c.

References COSEXPRHDLR_HASHKEY, NULL, SCIP_OKAY, and SCIPexprGetNChildren().

◆ SCIP_DECL_EXPRCURVATURE() [2/2]

◆ SCIP_DECL_EXPRMONOTONICITY() [2/2]

static SCIP_DECL_EXPRMONOTONICITY ( monotonicityCos  )
static