expr.h File Reference

Detailed Description

private functions to work with algebraic expressions

Author

Ksenia Bestuzheva

Benjamin Mueller

Felipe Serrano

Stefan Vigerske

Definition in file expr.h.

#include "scip/pub_expr.h"
#include "scip/type_set.h"
#include "scip/type_stat.h"
#include "scip/type_clock.h"
#include "blockmemshell/memory.h"

Go to the source code of this file.

Functions
Expression Handler Methods
SCIP_RETCODE	SCIPexprhdlrCreate (BMS_BLKMEM *blkmem, SCIP_EXPRHDLR **exprhdlr, const char *name, const char *desc, unsigned int precedence, SCIP_DECL_EXPREVAL((*eval)), SCIP_EXPRHDLRDATA *data)
SCIP_RETCODE	SCIPexprhdlrFree (SCIP_EXPRHDLR **exprhdlr, SCIP_SET *set, BMS_BLKMEM *blkmem)
SCIP_RETCODE	SCIPexprhdlrCopyInclude (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *targetset)
void	SCIPexprhdlrInit (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set)
SCIP_RETCODE	SCIPexprhdlrPrintExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_MESSAGEHDLR *messagehdlr, SCIP_EXPR *expr, SCIP_EXPRITER_STAGE stage, int currentchild, unsigned int parentprecedence, FILE *file)
SCIP_RETCODE	SCIPexprhdlrParseExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, const char *string, const char **endstring, SCIP_EXPR **expr, SCIP_Bool *success, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
SCIP_RETCODE	SCIPexprhdlrCurvatureExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_EXPRCURV exprcurvature, SCIP_Bool *success, SCIP_EXPRCURV *childcurv)
SCIP_RETCODE	SCIPexprhdlrMonotonicityExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, int childidx, SCIP_MONOTONE *result)
SCIP_RETCODE	SCIPexprhdlrIntegralityExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_Bool *isintegral)
SCIP_RETCODE	SCIPexprhdlrHashExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, unsigned int *hashkey, unsigned int *childrenhashes)
int	SCIPexprhdlrCompareExpr (SCIP_SET *set, SCIP_EXPR *expr1, SCIP_EXPR *expr2)
SCIP_RETCODE	SCIPexprhdlrEvalExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, BMS_BUFMEM *bufmem, SCIP_EXPR *expr, SCIP_Real *val, SCIP_Real *childrenvals, SCIP_SOL *sol)
SCIP_RETCODE	SCIPexprhdlrBwDiffExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, BMS_BUFMEM *bufmem, SCIP_EXPR *expr, int childidx, SCIP_Real *derivative, SCIP_Real *childrenvals, SCIP_Real exprval)
SCIP_RETCODE	SCIPexprhdlrFwDiffExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_Real *dot, SCIP_SOL *direction)
SCIP_RETCODE	SCIPexprhdlrEvalFwDiffExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, BMS_BUFMEM *bufmem, SCIP_EXPR *expr, SCIP_Real *val, SCIP_Real *dot, SCIP_Real *childrenvals, SCIP_SOL *sol, SCIP_Real *childrendirs, SCIP_SOL *direction)
SCIP_RETCODE	SCIPexprhdlrBwFwDiffExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, int childidx, SCIP_Real *bardot, SCIP_SOL *direction)
SCIP_RETCODE	SCIPexprhdlrIntEvalExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_INTERVAL *interval, SCIP_DECL_EXPR_INTEVALVAR((*intevalvar)), void *intevalvardata)
SCIP_RETCODE	SCIPexprhdlrEstimateExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_INTERVAL *localbounds, SCIP_INTERVAL *globalbounds, SCIP_Real *refpoint, SCIP_Bool overestimate, SCIP_Real targetvalue, SCIP_Real *coefs, SCIP_Real *constant, SCIP_Bool *islocal, SCIP_Bool *success, SCIP_Bool *branchcand)
SCIP_RETCODE	SCIPexprhdlrInitEstimatesExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_INTERVAL *bounds, SCIP_Bool overestimate, SCIP_Real *coefs[SCIP_EXPR_MAXINITESTIMATES], SCIP_Real constant[SCIP_EXPR_MAXINITESTIMATES], int *nreturned)
SCIP_RETCODE	SCIPexprhdlrSimplifyExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_EXPR **simplifiedexpr, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
SCIP_RETCODE	SCIPexprhdlrReversePropExpr (SCIP_EXPRHDLR *exprhdlr, SCIP_SET *set, SCIP_EXPR *expr, SCIP_INTERVAL bounds, SCIP_INTERVAL *childrenbounds, SCIP_Bool *infeasible)
Expression Methods
SCIP_RETCODE	SCIPexprCreate (SCIP_SET *set, BMS_BLKMEM *blkmem, SCIP_EXPR **expr, SCIP_EXPRHDLR *exprhdlr, SCIP_EXPRDATA *exprdata, int nchildren, SCIP_EXPR **children, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
SCIP_RETCODE	SCIPexprAppendChild (SCIP_SET *set, BMS_BLKMEM *blkmem, SCIP_EXPR *expr, SCIP_EXPR *child)
SCIP_RETCODE	SCIPexprReplaceChild (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR *expr, int childidx, SCIP_EXPR *newchild)
SCIP_RETCODE	SCIPexprRemoveChildren (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR *expr)
SCIP_RETCODE	SCIPexprCopy (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_SET *targetset, SCIP_STAT *targetstat, BMS_BLKMEM *targetblkmem, SCIP_EXPR *sourceexpr, SCIP_EXPR **targetexpr, SCIP_DECL_EXPR_MAPEXPR((*mapexpr)), void *mapexprdata, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
SCIP_RETCODE	SCIPexprDuplicateShallow (SCIP_SET *set, BMS_BLKMEM *blkmem, SCIP_EXPR *expr, SCIP_EXPR **copyexpr, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
void	SCIPexprCapture (SCIP_EXPR *expr)
SCIP_RETCODE	SCIPexprRelease (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR **expr)
SCIP_Bool	SCIPexprIsVar (SCIP_SET *set, SCIP_EXPR *expr)
SCIP_Bool	SCIPexprIsValue (SCIP_SET *set, SCIP_EXPR *expr)
SCIP_Bool	SCIPexprIsSum (SCIP_SET *set, SCIP_EXPR *expr)
SCIP_Bool	SCIPexprIsProduct (SCIP_SET *set, SCIP_EXPR *expr)
SCIP_Bool	SCIPexprIsPower (SCIP_SET *set, SCIP_EXPR *expr)
SCIP_RETCODE	SCIPexprPrint (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_MESSAGEHDLR *messagehdlr, FILE *file, SCIP_EXPR *expr)
SCIP_RETCODE	SCIPexprPrintDotInit (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPRPRINTDATA **printdata, FILE *file, SCIP_EXPRPRINT_WHAT whattoprint)
SCIP_RETCODE	SCIPexprPrintDotInit2 (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPRPRINTDATA **printdata, const char *filename, SCIP_EXPRPRINT_WHAT whattoprint)
SCIP_RETCODE	SCIPexprPrintDot (SCIP_SET *set, SCIP_MESSAGEHDLR *messagehdlr, SCIP_EXPRPRINTDATA *printdata, SCIP_EXPR *expr)
SCIP_RETCODE	SCIPexprPrintDotFinal (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPRPRINTDATA **printdata)
SCIP_RETCODE	SCIPexprDismantle (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_MESSAGEHDLR *messagehdlr, FILE *file, SCIP_EXPR *expr)
SCIP_RETCODE	SCIPexprEval (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR *expr, SCIP_SOL *sol, SCIP_Longint soltag)
SCIP_RETCODE	SCIPexprEvalGradient (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR *rootexpr, SCIP_SOL *sol, SCIP_Longint soltag)
SCIP_RETCODE	SCIPexprEvalHessianDir (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR *rootexpr, SCIP_SOL *sol, SCIP_Longint soltag, SCIP_SOL *direction)
SCIP_RETCODE	SCIPexprEvalActivity (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR *rootexpr)
int	SCIPexprCompare (SCIP_SET *set, SCIP_EXPR *expr1, SCIP_EXPR *expr2)
SCIP_RETCODE	SCIPexprSimplify (SCIP_SET *set, SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPR *rootexpr, SCIP_EXPR **simplified, SCIP_Bool *changed, SCIP_Bool *infeasible, SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), void *ownercreatedata)
Expression Iterator Methods
SCIP_RETCODE	SCIPexpriterCreate (SCIP_STAT *stat, BMS_BLKMEM *blkmem, SCIP_EXPRITER **iterator)
void	SCIPexpriterFree (SCIP_EXPRITER **iterator)
Quadratic expression functions
SCIP_RETCODE	SCIPexprCheckQuadratic (SCIP_SET *set, BMS_BLKMEM *blkmem, SCIP_EXPR *expr, SCIP_Bool *isquadratic)
void	SCIPexprFreeQuadratic (BMS_BLKMEM *blkmem, SCIP_EXPR *expr)
SCIP_RETCODE	SCIPexprComputeQuadraticCurvature (SCIP_SET *set, BMS_BLKMEM *blkmem, BMS_BUFMEM *bufmem, SCIP_MESSAGEHDLR *messagehdlr, SCIP_EXPR *expr, SCIP_EXPRCURV *curv, SCIP_HASHMAP *assumevarfixed, SCIP_Bool storeeigeninfo)

Function Documentation

SCIPexprhdlrCreate()

SCIP_RETCODE SCIPexprhdlrCreate	(	BMS_BLKMEM *	blkmem,
		SCIP_EXPRHDLR **	exprhdlr,
		const char *	name,
		const char *	desc,
		unsigned int	precedence,
		SCIP_DECL_EXPREVAL((*eval))	,
		SCIP_EXPRHDLRDATA *	data
	)

create expression handler

Parameters

blkmem	block memory
exprhdlr	buffer where to store created expression handler
name	name of expression handler (must not be NULL)
desc	description of expression handler (can be NULL)
precedence	precedence of expression operation (used for printing)
data	data of expression handler (can be NULL)

Definition at line 294 of file expr.c.

References BMSallocClearBlockMemory, BMSduplicateMemoryArray, eval(), NULL, SCIP_ALLOC, SCIP_CALL, SCIP_CLOCKTYPE_DEFAULT, SCIP_OKAY, and SCIPclockCreate().

Referenced by SCIPincludeExprhdlr().

SCIPexprhdlrFree()

SCIP_RETCODE SCIPexprhdlrFree	(	SCIP_EXPRHDLR **	exprhdlr,
		SCIP_SET *	set,
		BMS_BLKMEM *	blkmem
	)

frees expression handler

Parameters

exprhdlr	pointer to expression handler to be freed
set	global SCIP settings
blkmem	block memory

Definition at line 329 of file expr.c.

References BMSfreeBlockMemory, BMSfreeMemoryArray, BMSfreeMemoryArrayNull, SCIP_Exprhdlr::data, NULL, SCIP_CALL, SCIP_OKAY, and SCIPclockFree().

SCIPexprhdlrCopyInclude()

SCIP_RETCODE SCIPexprhdlrCopyInclude	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	targetset
	)

copies the given expression handler to a new scip

Parameters

exprhdlr	expression handler
targetset	SCIP_SET of SCIP to copy to

Definition at line 829 of file expr.c.

References NULL, SCIP_Set::scip, SCIP_CALL, SCIP_OKAY, SCIPexprhdlrGetName(), and SCIPsetDebugMsg.

Referenced by SCIPsetCopyPlugins().

SCIPexprhdlrInit()

void SCIPexprhdlrInit	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set
	)

initialization of expression handler (resets statistics)

Parameters

exprhdlr	expression handler
set	global SCIP settings

Definition at line 854 of file expr.c.

References SCIP_Exprhdlr::estimatetime, SCIP_Exprhdlr::intevaltime, SCIP_Exprhdlr::nbranchscores, SCIP_Exprhdlr::ncreated, SCIP_Exprhdlr::ncutoffs, SCIP_Exprhdlr::ndomreds, SCIP_Exprhdlr::nestimatecalls, SCIP_Exprhdlr::nintevalcalls, SCIP_Exprhdlr::npropcalls, SCIP_Exprhdlr::nsimplified, SCIP_Exprhdlr::nsimplifycalls, NULL, SCIP_Exprhdlr::proptime, SCIPclockReset(), and SCIP_Exprhdlr::simplifytime.

Referenced by SCIPsetInitPlugins().

SCIPexprhdlrPrintExpr()

SCIP_RETCODE SCIPexprhdlrPrintExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_MESSAGEHDLR *	messagehdlr,
		SCIP_EXPR *	expr,
		SCIP_EXPRITER_STAGE	stage,
		int	currentchild,
		unsigned int	parentprecedence,
		FILE *	file
	)

calls the print callback of an expression handler

The method prints an expression. It is called while iterating over the expression graph at different stages.

See also

SCIP_DECL_EXPRPRINT

Parameters

exprhdlr	expression handler
set	global SCIP settings
messagehdlr	message handler
expr	expression
stage	stage of expression iteration
currentchild	index of current child if in stage visitingchild or visitedchild
parentprecedence	precedence of parent
file	the file to print to

Definition at line 887 of file expr.c.

References SCIP_Expr::exprhdlr, SCIP_Expr::nchildren, NULL, SCIP_CALL, SCIP_EXPRITER_ENTEREXPR, SCIP_EXPRITER_LEAVEEXPR, SCIP_EXPRITER_VISITEDCHILD, SCIP_EXPRITER_VISITINGCHILD, SCIP_OKAY, SCIPexprhdlrGetName(), SCIPexprhdlrHasPrint(), and SCIPmessageFPrintInfo().

Referenced by SCIP_DECL_EXPRPRINT(), SCIPexprPrint(), and SCIPexprPrintDot().

SCIPexprhdlrParseExpr()

SCIP_RETCODE SCIPexprhdlrParseExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		const char *	string,
		const char **	endstring,
		SCIP_EXPR **	expr,
		SCIP_Bool *	success,
		SCIP_DECL_EXPR_OWNERCREATE((*ownercreate))	,
		void *	ownercreatedata
	)

calls the parse callback of an expression handler

The method parses an expression. It should be called when parsing an expression and an operator with the expr handler name is found.

See also

SCIP_DECL_EXPRPARSE

Parameters

exprhdlr	expression handler
set	global SCIP settings
string	string containing expression to be parse
endstring	buffer to store the position of string after parsing
expr	buffer to store the parsed expression
success	buffer to store whether the parsing was successful or not
ownercreatedata	data to pass to ownercreate

Definition at line 956 of file expr.c.

References FALSE, NULL, SCIP_CALL, SCIP_OKAY, SCIPdebugMessage, and SCIPexprhdlrGetName().

Referenced by parseBase().

SCIPexprhdlrCurvatureExpr()

SCIP_RETCODE SCIPexprhdlrCurvatureExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_EXPRCURV	exprcurvature,
		SCIP_Bool *	success,
		SCIP_EXPRCURV *	childcurv
	)

calls the curvature check callback of an expression handler

See also

SCIP_DECL_EXPRCURVATURE

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to check the curvature for
exprcurvature	desired curvature of this expression
success	buffer to store whether the desired curvature be obtained
childcurv	array to store required curvature for each child

Definition at line 995 of file expr.c.

References SCIP_Expr::exprhdlr, FALSE, NULL, SCIP_CALL, and SCIP_OKAY.

Referenced by SCIP_DECL_EXPRCURVATURE(), and SCIPcomputeExprCurvature().

SCIPexprhdlrMonotonicityExpr()

SCIP_RETCODE SCIPexprhdlrMonotonicityExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		int	childidx,
		SCIP_MONOTONE *	result
	)

calls the monotonicity check callback of an expression handler

See also

SCIP_DECL_EXPRMONOTONICITY

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to check the monotonicity for
childidx	index of the considered child expression
result	buffer to store the monotonicity

Definition at line 1024 of file expr.c.

References SCIP_Expr::exprhdlr, NULL, SCIP_CALL, SCIP_MONOTONE_UNKNOWN, and SCIP_OKAY.

Referenced by SCIP_DECL_EXPRMONOTONICITY().

SCIPexprhdlrIntegralityExpr()

SCIP_RETCODE SCIPexprhdlrIntegralityExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_Bool *	isintegral
	)

calls the integrality check callback of an expression handler

See also

SCIP_DECL_EXPRINTEGRALITY

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to check integrality for
isintegral	buffer to store whether expression is integral

Definition at line 1053 of file expr.c.

References SCIP_Expr::exprhdlr, FALSE, NULL, SCIP_CALL, and SCIP_OKAY.

Referenced by SCIPcomputeExprIntegrality().

SCIPexprhdlrHashExpr()

SCIP_RETCODE SCIPexprhdlrHashExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		unsigned int *	hashkey,
		unsigned int *	childrenhashes
	)

calls the hash callback of an expression handler

The method hashes an expression by taking the hashes of its children into account.

See also

SCIP_DECL_EXPRHASH

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to be hashed
hashkey	buffer to store the hash value
childrenhashes	array with hash values of children

Definition at line 1083 of file expr.c.

References SCIP_Expr::exprhdlr, SCIP_Exprhdlr::name, SCIP_Expr::nchildren, NULL, SCIP_CALL, SCIP_OKAY, SCIP_Real, and SCIPcalcFibHash().

Referenced by hashExpr().

SCIPexprhdlrCompareExpr()

int SCIPexprhdlrCompareExpr	(	SCIP_SET *	set,
		SCIP_EXPR *	expr1,
		SCIP_EXPR *	expr2
	)

calls the compare callback of an expression handler

The method receives two expressions, expr1 and expr2, and returns

• -1 if expr1 < expr2,
• 0 if expr1 = expr2,
• 1 if expr1 > expr2.

See also

SCIP_DECL_EXPRCOMPARE

Parameters

set	global SCIP settings
expr1	first expression in comparison
expr2	second expression in comparison

Definition at line 1132 of file expr.c.

References SCIP_Expr::children, SCIP_Expr::exprhdlr, SCIP_Expr::nchildren, NULL, and SCIPexprCompare().

Referenced by SCIPexprCompare().

SCIPexprhdlrEvalExpr()

SCIP_RETCODE SCIPexprhdlrEvalExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		BMS_BUFMEM *	bufmem,
		SCIP_EXPR *	expr,
		SCIP_Real *	val,
		SCIP_Real *	childrenvals,
		SCIP_SOL *	sol
	)

calls the evaluation callback of an expression handler

The method evaluates an expression by taking the values of its children into account.

Further, allows to evaluate w.r.t. given expression and children values instead of those stored in children expressions.

See also

SCIP_DECL_EXPREVAL

Parameters

exprhdlr	expression handler
set	global SCIP settings
bufmem	buffer memory, can be NULL if childrenvals is NULL
expr	expression to be evaluated
val	buffer to store value of expression
childrenvals	values for children, or NULL if values stored in children should be used
sol	solution that is evaluated (can be NULL)

Definition at line 1175 of file expr.c.

References BMSallocBufferMemoryArray, BMSfreeBufferMemoryArray, SCIP_Expr::children, SCIP_Expr::evalvalue, SCIP_Expr::exprhdlr, SCIP_Expr::nchildren, NULL, SCIP_ALLOC, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, and SCIPisFinite.

Referenced by evalAndDiff(), SCIPcallExprEval(), and SCIPexprEval().

SCIPexprhdlrBwDiffExpr()

SCIP_RETCODE SCIPexprhdlrBwDiffExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		BMS_BUFMEM *	bufmem,
		SCIP_EXPR *	expr,
		int	childidx,
		SCIP_Real *	derivative,
		SCIP_Real *	childrenvals,
		SCIP_Real	exprval
	)

calls the backward derivative evaluation callback of an expression handler

The method should compute the partial derivative of expr w.r.t its child at childidx. That is, it returns

\[ \frac{\partial \text{expr}}{\partial \text{child}_{\text{childidx}}} \]

Further, allows to differentiate w.r.t. given expression and children values instead of those stored in children expressions.

See also

SCIP_DECL_EXPRBWDIFF

Parameters

exprhdlr	expression handler
set	global SCIP settings
bufmem	buffer memory, can be NULL if childrenvals is NULL
expr	expression to be differentiated
childidx	index of the child
derivative	buffer to store the partial derivative w.r.t. the i-th children
childrenvals	values for children, or NULL if values stored in children should be used
exprval	value for expression, used only if childrenvals is not NULL

Definition at line 1242 of file expr.c.

References BMSallocBufferMemoryArray, BMSfreeBufferMemoryArray, SCIP_Expr::children, SCIP_Expr::evalvalue, SCIP_Expr::exprhdlr, SCIP_Expr::nchildren, NULL, SCIP_ALLOC, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, and SCIPisFinite.

Referenced by SCIPexprEvalGradient(), and SCIPexprEvalHessianDir().

SCIPexprhdlrFwDiffExpr()

SCIP_RETCODE SCIPexprhdlrFwDiffExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_Real *	dot,
		SCIP_SOL *	direction
	)

calls the forward differentiation callback of an expression handler

See also

SCIP_DECL_EXPRFWDIFF

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to be differentiated
dot	buffer to store derivative value
direction	direction of the derivative (useful only for var expressions)

Definition at line 1315 of file expr.c.

References SCIP_Expr::exprhdlr, NULL, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, and SCIPisFinite.

Referenced by evalAndDiff(), and SCIPexprhdlrEvalFwDiffExpr().

SCIPexprhdlrEvalFwDiffExpr()

SCIP_RETCODE SCIPexprhdlrEvalFwDiffExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		BMS_BUFMEM *	bufmem,
		SCIP_EXPR *	expr,
		SCIP_Real *	val,
		SCIP_Real *	dot,
		SCIP_Real *	childrenvals,
		SCIP_SOL *	sol,
		SCIP_Real *	childrendirs,
		SCIP_SOL *	direction
	)

calls the evaluation and forward-differentiation callback of an expression handler

The method evaluates an expression by taking the values of its children into account. The method differentiates an expression by taking the values and directional derivatives of its children into account.

Further, allows to evaluate and differentiate w.r.t. given values for children instead of those stored in children expressions.

It probably doesn't make sense to call this function for a variable-expression if sol and/or direction are not given.

See also

SCIP_DECL_EXPREVAL

SCIP_DECL_EXPRFWDIFF

Parameters

exprhdlr	expression handler
set	global SCIP settings
bufmem	buffer memory, can be NULL if childrenvals is NULL
expr	expression to be evaluated
val	buffer to store value of expression
dot	buffer to store derivative value
childrenvals	values for children, or NULL if values stored in children should be used
sol	solution that is evaluated (can be NULL)
childrendirs	directional derivatives for children, or NULL if dot-values stored in children should be used
direction	direction of the derivative (useful only for var expressions, can be NULL if childrendirs is given)

Definition at line 1356 of file expr.c.

References BMSallocBufferMemoryArray, BMSfreeBufferMemoryArray, SCIP_Expr::children, SCIP_Expr::dot, SCIP_Expr::evalvalue, SCIP_Expr::exprhdlr, SCIP_Expr::nchildren, NULL, SCIP_ALLOC, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPexprhdlrFwDiffExpr(), and SCIPisFinite.

Referenced by SCIPcallExprEvalFwdiff().

SCIPexprhdlrBwFwDiffExpr()

SCIP_RETCODE SCIPexprhdlrBwFwDiffExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		int	childidx,
		SCIP_Real *	bardot,
		SCIP_SOL *	direction
	)

calls the evaluation callback for Hessian directions (backward over forward) of an expression handler

See also

SCIP_DECL_EXPRBWFWDIFF

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to be differentiated
childidx	index of the child
bardot	buffer to store derivative value
direction	direction of the derivative (useful only for var expressions)

Definition at line 1462 of file expr.c.

References SCIP_Expr::exprhdlr, NULL, SCIP_CALL, SCIP_INVALID, SCIP_OKAY, and SCIPisFinite.

Referenced by SCIPexprEvalHessianDir().

SCIPexprhdlrIntEvalExpr()

SCIP_RETCODE SCIPexprhdlrIntEvalExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_INTERVAL *	interval,
		SCIP_DECL_EXPR_INTEVALVAR((*intevalvar))	,
		void *	intevalvardata
	)

calls the interval evaluation callback of an expression handler

See also

SCIP_DECL_EXPRINTEVAL

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to be evaluated
interval	buffer where to store interval
intevalvardata	data to be passed to intevalvar callback

Definition at line 1498 of file expr.c.

References SCIP_Expr::exprhdlr, SCIP_Exprhdlr::intevaltime, SCIP_Exprhdlr::nintevalcalls, NULL, SCIP_CALL, SCIP_OKAY, SCIPclockStart(), and SCIPclockStop().

Referenced by SCIP_DECL_EXPRINTEVAL(), and SCIPexprEvalActivity().

SCIPexprhdlrEstimateExpr()

SCIP_RETCODE SCIPexprhdlrEstimateExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_INTERVAL *	localbounds,
		SCIP_INTERVAL *	globalbounds,
		SCIP_Real *	refpoint,
		SCIP_Bool	overestimate,
		SCIP_Real	targetvalue,
		SCIP_Real *	coefs,
		SCIP_Real *	constant,
		SCIP_Bool *	islocal,
		SCIP_Bool *	success,
		SCIP_Bool *	branchcand
	)

calls the estimator callback of an expression handler

See also

SCIP_DECL_EXPRESTIMATE

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to be estimated
localbounds	current bounds for children
globalbounds	global bounds for children
refpoint	children values for the reference point where to estimate
overestimate	whether the expression needs to be over- or underestimated
targetvalue	a value that the estimator shall exceed, can be +/-infinity
coefs	array to store coefficients of estimator
constant	buffer to store constant part of estimator
islocal	buffer to store whether estimator is valid locally only
success	buffer to indicate whether an estimator could be computed
branchcand	array to indicate which children (not) to consider for branching

Definition at line 1529 of file expr.c.

References SCIP_Exprhdlr::estimatetime, SCIP_Expr::exprhdlr, FALSE, SCIP_Exprhdlr::nestimatecalls, NULL, SCIP_CALL, SCIP_OKAY, SCIPclockStart(), and SCIPclockStop().

Referenced by SCIP_DECL_EXPRESTIMATE().

SCIPexprhdlrInitEstimatesExpr()

SCIP_RETCODE SCIPexprhdlrInitEstimatesExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_INTERVAL *	bounds,
		SCIP_Bool	overestimate,
		SCIP_Real *	coefs[SCIP_EXPR_MAXINITESTIMATES],
		SCIP_Real	constant[SCIP_EXPR_MAXINITESTIMATES],
		int *	nreturned
	)

calls the intitial estimators callback of an expression handler

See also

SCIP_DECL_EXPRINITESTIMATES

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to be estimated
bounds	bounds for children
overestimate	whether the expression shall be overestimated or underestimated
coefs	buffer to store coefficients of computed estimators
constant	buffer to store constant of computed estimators
nreturned	buffer to store number of estimators that have been computed

Definition at line 1573 of file expr.c.

References SCIP_Exprhdlr::estimatetime, SCIP_Expr::exprhdlr, SCIP_Exprhdlr::nestimatecalls, NULL, SCIP_CALL, SCIP_OKAY, SCIPclockStart(), and SCIPclockStop().

Referenced by SCIP_DECL_EXPRINITESTIMATES().

SCIPexprhdlrSimplifyExpr()

SCIP_RETCODE SCIPexprhdlrSimplifyExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_EXPR **	simplifiedexpr,
		SCIP_DECL_EXPR_OWNERCREATE((*ownercreate))	,
		void *	ownercreatedata
	)

calls the simplification callback of an expression handler

See also

SCIP_DECL_EXPRSIMPLIFY

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to simplify
simplifiedexpr	buffer to store the simplified expression
ownercreatedata	data to pass to ownercreate

Definition at line 1608 of file expr.c.

References SCIP_Expr::exprhdlr, SCIP_Exprhdlr::nsimplified, SCIP_Exprhdlr::nsimplifycalls, NULL, SCIP_CALL, SCIP_OKAY, SCIPclockStart(), SCIPclockStop(), SCIPexprCapture(), and SCIP_Exprhdlr::simplifytime.

Referenced by SCIP_DECL_EXPRSIMPLIFY(), and SCIPexprSimplify().

SCIPexprhdlrReversePropExpr()

SCIP_RETCODE SCIPexprhdlrReversePropExpr	(	SCIP_EXPRHDLR *	exprhdlr,
		SCIP_SET *	set,
		SCIP_EXPR *	expr,
		SCIP_INTERVAL	bounds,
		SCIP_INTERVAL *	childrenbounds,
		SCIP_Bool *	infeasible
	)

calls the reverse propagation callback of an expression handler

The method propagates given bounds over the children of an expression.

See also

SCIP_DECL_EXPRREVERSEPROP

Parameters

exprhdlr	expression handler
set	global SCIP settings
expr	expression to propagate
bounds	the bounds on the expression that should be propagated
childrenbounds	array to store computed bounds for children, initialized with current activity
infeasible	buffer to store whether a children bounds were propagated to an empty interval

Definition at line 1653 of file expr.c.

References SCIP_Expr::exprhdlr, FALSE, SCIP_Expr::nchildren, SCIP_Exprhdlr::ncutoffs, SCIP_Exprhdlr::npropcalls, NULL, SCIP_Exprhdlr::proptime, SCIP_CALL, SCIP_OKAY, SCIPclockStart(), and SCIPclockStop().

Referenced by SCIP_DECL_EXPRREVERSEPROP().

SCIPexprCreate()

SCIP_RETCODE SCIPexprCreate	(	SCIP_SET *	set,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR **	expr,
		SCIP_EXPRHDLR *	exprhdlr,
		SCIP_EXPRDATA *	exprdata,
		int	nchildren,
		SCIP_EXPR **	children,
		SCIP_DECL_EXPR_OWNERCREATE((*ownercreate))	,
		void *	ownercreatedata
	)

creates and captures an expression with given expression data and children

Parameters

set	global SCIP settings
blkmem	block memory
expr	pointer where to store expression
exprhdlr	expression handler
exprdata	expression data (expression assumes ownership)
nchildren	number of children
children	children (can be NULL if nchildren is 0)
ownercreatedata	data to pass to ownercreate

Definition at line 1703 of file expr.c.

References BMSallocClearBlockMemory, BMSduplicateBlockMemoryArray, SCIP_Exprhdlr::ncreated, NULL, SCIP_Expr::ownerdata, SCIP_ALLOC, SCIP_CALL, SCIP_EXPRCURV_UNKNOWN, SCIP_INTERVAL_INFINITY, SCIP_OKAY, SCIPexprCapture(), and SCIPintervalSetEntire().

Referenced by SCIPcreateExpr(), SCIPexprCopy(), and SCIPexprDuplicateShallow().

SCIPexprAppendChild()

SCIP_RETCODE SCIPexprAppendChild	(	SCIP_SET *	set,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	expr,
		SCIP_EXPR *	child
	)

appends child to the children list of expr

Parameters

set	global SCIP settings
blkmem	block memory
expr	expression
child	expression to be appended

Definition at line 1760 of file expr.c.

References BMSreallocBlockMemoryArray, SCIP_Expr::children, SCIP_Expr::childrensize, SCIP_Expr::nchildren, NULL, SCIP_ALLOC, SCIP_OKAY, SCIPexprCapture(), and SCIPsetCalcMemGrowSize().

Referenced by SCIPappendExprChild(), and SCIPexprCopy().

SCIPexprReplaceChild()

SCIP_RETCODE SCIPexprReplaceChild	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	expr,
		int	childidx,
		SCIP_EXPR *	newchild
	)

overwrites/replaces a child of an expressions

Note

the old child is released and the newchild is captured, unless they are the same (=same pointer)

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
expr	expression where a child is going to be replaced
childidx	index of child being replaced
newchild	the new child

Definition at line 1791 of file expr.c.

References SCIP_Expr::children, NULL, SCIP_CALL, SCIP_OKAY, SCIPexprCapture(), and SCIPexprRelease().

Referenced by SCIPexprSimplify(), and SCIPreplaceExprChild().

SCIPexprRemoveChildren()

SCIP_RETCODE SCIPexprRemoveChildren	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	expr
	)

remove all children of expr

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
expr	expression

Definition at line 1821 of file expr.c.

References SCIP_Expr::children, SCIP_Expr::nchildren, NULL, SCIP_CALL, SCIP_OKAY, and SCIPexprRelease().

Referenced by SCIPremoveExprChildren().

SCIPexprCopy()

SCIP_RETCODE SCIPexprCopy	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_SET *	targetset,
		SCIP_STAT *	targetstat,
		BMS_BLKMEM *	targetblkmem,
		SCIP_EXPR *	sourceexpr,
		SCIP_EXPR **	targetexpr,
		SCIP_DECL_EXPR_MAPEXPR((*mapexpr))	,
		void *	mapexprdata,
		SCIP_DECL_EXPR_OWNERCREATE((*ownercreate))	,
		void *	ownercreatedata
	)

copies an expression including subexpressions

Note

If copying fails due to an expression handler not being available in the targetscip, then *targetexpr will be set to NULL.

For all or some expressions, a mapping to an existing expression can be specified via the mapexpr callback. The mapped expression (including its children) will not be copied in this case and its ownerdata will not be touched. If, however, the mapexpr callback returns NULL for the targetexpr, then the expr will be copied in the usual way.

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
targetset	global SCIP settings data structure where target expression will live
targetstat	dynamic problem statistics in target SCIP
targetblkmem	block memory in target SCIP
sourceexpr	expression to be copied
targetexpr	buffer to store pointer to copy of source expression
mapexprdata	data of expression mapping function
ownercreatedata	data to pass to ownercreate

Definition at line 1853 of file expr.c.

References SCIP_Expr::exprdata, SCIP_Expr::exprhdlr, SCIP_Exprhdlr::name, NULL, SCIP_EXPRITER_USERDATA::ptrval, SCIP_Set::scip, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_ENTEREXPR, SCIP_EXPRITER_VISITEDCHILD, SCIP_OKAY, SCIPABORT, SCIPexprAppendChild(), SCIPexprCreate(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildUserDataDFS(), SCIPexpriterGetCurrentUserData(), SCIPexpriterGetExprUserData(), SCIPexpriterGetNext(), SCIPexpriterGetStageDFS(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetCurrentUserData(), SCIPexpriterSetStagesDFS(), SCIPexpriterSkipDFS(), SCIPexprRelease(), SCIPsetFindExprhdlr(), and TRUE.

Referenced by nlpFlushNlRowAdditions(), nlrowExprChanged(), SCIPcopyExpr(), SCIPduplicateExpr(), SCIPnlrowChgExpr(), and SCIPnlrowCreate().

SCIPexprDuplicateShallow()

SCIP_RETCODE SCIPexprDuplicateShallow	(	SCIP_SET *	set,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	expr,
		SCIP_EXPR **	copyexpr,
		SCIP_DECL_EXPR_OWNERCREATE((*ownercreate))	,
		void *	ownercreatedata
	)

duplicates the given expression without its children

Parameters

set	global SCIP settings
blkmem	block memory
expr	original expression
copyexpr	buffer to store (shallow) duplicate of expr
ownercreatedata	data to pass to ownercreate

Definition at line 2008 of file expr.c.

References SCIP_Expr::exprdata, SCIP_Expr::exprhdlr, NULL, SCIP_CALL, SCIP_OKAY, and SCIPexprCreate().

Referenced by SCIPduplicateExprShallow().

SCIPexprCapture()

void SCIPexprCapture

(

SCIP_EXPR *

expr

)

captures an expression (increments usage count)

Parameters

expr	expression

Definition at line 2039 of file expr.c.

References NULL, and SCIP_Expr::nuses.

Referenced by parseBase(), SCIPcaptureExpr(), SCIPexprAppendChild(), SCIPexprCreate(), SCIPexprhdlrSimplifyExpr(), SCIPexprReplaceChild(), and SCIPreplaceCommonSubexpressions().

SCIPexprRelease()

SCIP_RETCODE SCIPexprRelease	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR **	rootexpr
	)

releases an expression (decrements usage count and possibly frees expression)

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
rootexpr	pointer to expression

Definition at line 2049 of file expr.c.

References SCIP_Expr::children, SCIP_Expr::exprdata, SCIP_Expr::exprhdlr, freeExpr(), NULL, SCIP_Expr::nuses, SCIP_Expr::ownerdata, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_VISITEDCHILD, SCIP_EXPRITER_VISITINGCHILD, SCIP_OKAY, SCIPABORT, SCIPexprFreeQuadratic(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetCurrent(), SCIPexpriterGetNext(), SCIPexpriterGetStageDFS(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetStagesDFS(), SCIPexpriterSkipDFS(), SCIPexprRelease(), and TRUE.

Referenced by nlpFlushNlRowAdditions(), nlrowExprChanged(), nlrowSimplifyExpr(), SCIPexprCopy(), SCIPexprRelease(), SCIPexprRemoveChildren(), SCIPexprReplaceChild(), SCIPexprSimplify(), SCIPnlrowChgExpr(), SCIPnlrowRelease(), and SCIPreleaseExpr().

SCIPexprIsVar()

SCIP_Bool SCIPexprIsVar	(	SCIP_SET *	set,
		SCIP_EXPR *	expr
	)

returns whether an expression is a variable expression

Parameters

set	global SCIP settings
expr	expression

Definition at line 2181 of file expr.c.

References SCIP_Expr::exprhdlr, and NULL.

Referenced by nlpAddNlRows(), nlpDelVarPos(), SCIP_DECL_EXPR_MAPEXPR(), SCIPevalExprQuadratic(), SCIPexprCheckQuadratic(), SCIPexprCompare(), SCIPexprComputeQuadraticCurvature(), SCIPexprDismantle(), SCIPexprEvalGradient(), SCIPexprEvalHessianDir(), SCIPgetExprNVars(), SCIPgetExprVarExprs(), SCIPisExprVar(), SCIPnlpGetVarsNonlinearity(), and SCIPnlpHasContinuousNonlinearity().

SCIPexprIsValue()

SCIP_Bool SCIPexprIsValue	(	SCIP_SET *	set,
		SCIP_EXPR *	expr
	)

returns whether an expression is a value expression

Parameters

set	global SCIP settings
expr	expression

Definition at line 2193 of file expr.c.

References SCIP_Expr::exprhdlr, and NULL.

Referenced by nlrowSimplifyExpr(), parseExpr(), SCIPexprCompare(), SCIPexprDismantle(), SCIPexprEvalGradient(), SCIPexprEvalHessianDir(), and SCIPisExprValue().

SCIPexprIsSum()

SCIP_Bool SCIPexprIsSum	(	SCIP_SET *	set,
		SCIP_EXPR *	expr
	)

returns whether an expression is a sum expression

Parameters

set	global SCIP settings
expr	expression

Definition at line 2205 of file expr.c.

References SCIP_Expr::exprhdlr, and NULL.

Referenced by SCIPexprCheckQuadratic(), SCIPexprCompare(), SCIPexprDismantle(), and SCIPisExprSum().

SCIPexprIsProduct()

SCIP_Bool SCIPexprIsProduct	(	SCIP_SET *	set,
		SCIP_EXPR *	expr
	)

returns whether an expression is a product expression

Parameters

set	global SCIP settings
expr	expression

Definition at line 2217 of file expr.c.

References SCIP_Expr::exprhdlr, and NULL.

Referenced by SCIPexprCheckQuadratic(), SCIPexprCompare(), SCIPexprDismantle(), and SCIPisExprProduct().

SCIPexprIsPower()

SCIP_Bool SCIPexprIsPower	(	SCIP_SET *	set,
		SCIP_EXPR *	expr
	)

returns whether an expression is a power expression

Parameters

set	global SCIP settings
expr	expression

Definition at line 2229 of file expr.c.

References SCIP_Expr::exprhdlr, and NULL.

Referenced by SCIPexprCheckQuadratic(), SCIPexprCompare(), SCIPexprDismantle(), and SCIPisExprPower().

SCIPexprPrint()

SCIP_RETCODE SCIPexprPrint	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_MESSAGEHDLR *	messagehdlr,
		FILE *	file,
		SCIP_EXPR *	expr
	)

print an expression as info-message

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
messagehdlr	message handler
file	file to print to, or NULL for stdout
expr	expression to be printed

Definition at line 2241 of file expr.c.

References SCIP_Expr::exprhdlr, NULL, SCIP_CALL, SCIP_EXPRITER_ALLSTAGES, SCIP_EXPRITER_DFS, SCIP_EXPRITER_VISITEDCHILD, SCIP_EXPRITER_VISITINGCHILD, SCIP_OKAY, SCIPexprGetHdlr(), SCIPexprhdlrGetPrecedence(), SCIPexprhdlrPrintExpr(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetNext(), SCIPexpriterGetParentDFS(), SCIPexpriterGetStageDFS(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetStagesDFS(), and TRUE.

Referenced by SCIPnlrowPrint(), and SCIPprintExpr().

SCIPexprPrintDotInit()

SCIP_RETCODE SCIPexprPrintDotInit	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPRPRINTDATA **	printdata,
		FILE *	file,
		SCIP_EXPRPRINT_WHAT	whattoprint
	)

initializes printing of expressions in dot format to a give FILE* pointer

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
printdata	buffer to store dot printing data
file	file to print to, or NULL for stdout
whattoprint	info on what to print for each expression

Definition at line 2290 of file expr.c.

References BMSallocBlockMemory, FALSE, NULL, SCIP_ALLOC, SCIP_CALL, SCIP_OKAY, SCIPexpriterCreate(), and SCIPhashmapCreate().

Referenced by SCIPexprPrintDotInit2(), and SCIPprintExprDotInit().

SCIPexprPrintDotInit2()

SCIP_RETCODE SCIPexprPrintDotInit2	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPRPRINTDATA **	printdata,
		const char *	filename,
		SCIP_EXPRPRINT_WHAT	whattoprint
	)

initializes printing of expressions in dot format to a file with given filename

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
printdata	buffer to store dot printing data
filename	name of file to print to
whattoprint	info on what to print for each expression

Definition at line 2322 of file expr.c.

References NULL, SCIP_CALL, SCIP_FILECREATEERROR, SCIP_OKAY, SCIPerrorMessage, SCIPexprPrintDotInit(), and TRUE.

Referenced by SCIPprintExprDotInit2().

SCIPexprPrintDot()

SCIP_RETCODE SCIPexprPrintDot	(	SCIP_SET *	set,
		SCIP_MESSAGEHDLR *	messagehdlr,
		SCIP_EXPRPRINTDATA *	printdata,
		SCIP_EXPR *	expr
	)

main part of printing an expression in dot format

Parameters

set	global SCIP settings
messagehdlr	message handler
printdata	data as initialized by SCIPprintExprDotInit()
expr	expression to be printed

Definition at line 2353 of file expr.c.

References SCIP_Expr::exprhdlr, FALSE, SCIP_Exprhdlr::name, SCIP_Expr::nchildren, NULL, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_ENTEREXPR, SCIP_EXPRITER_LEAVEEXPR, SCIP_EXPRITER_VISITEDCHILD, SCIP_EXPRITER_VISITINGCHILD, SCIP_EXPRPRINT_ACTIVITY, SCIP_EXPRPRINT_ACTIVITYTAG, SCIP_EXPRPRINT_EVALTAG, SCIP_EXPRPRINT_EVALVALUE, SCIP_EXPRPRINT_EXPRHDLR, SCIP_EXPRPRINT_EXPRSTRING, SCIP_EXPRPRINT_NUSES, SCIP_EXPRPRINT_OWNER, SCIP_OKAY, SCIP_Real, SCIPexprhdlrPrintExpr(), SCIPexpriterGetNext(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPhashmapInsert(), and SCIPsetFrac().

Referenced by SCIPprintExprDot().

SCIPexprPrintDotFinal()

SCIP_RETCODE SCIPexprPrintDotFinal	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPRPRINTDATA **	printdata
	)

finishes printing of expressions in dot format

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
printdata	buffer where dot printing data has been stored

Definition at line 2467 of file expr.c.

References BMSfreeBlockMemory, SCIP_Expr::nchildren, NULL, SCIP_OKAY, SCIPexpriterFree(), SCIPhashmapEntryGetOrigin(), SCIPhashmapFree(), SCIPhashmapGetEntry(), and SCIPhashmapGetNEntries().

Referenced by SCIPprintExprDotFinal().

SCIPexprDismantle()

SCIP_RETCODE SCIPexprDismantle	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_MESSAGEHDLR *	messagehdlr,
		FILE *	file,
		SCIP_EXPR *	expr
	)

prints structure of an expression a la Maple's dismantle

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
messagehdlr	message handler
file	file to print to, or NULL for stdout
expr	expression to dismantle

Definition at line 2520 of file expr.c.

References SCIP_Expr::exprhdlr, SCIP_Exprhdlr::name, NULL, SCIP_Expr::ownerdata, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_ENTEREXPR, SCIP_EXPRITER_LEAVEEXPR, SCIP_EXPRITER_VISITINGCHILD, SCIP_OKAY, SCIPABORT, SCIPexprIsPower(), SCIPexprIsProduct(), SCIPexprIsSum(), SCIPexprIsValue(), SCIPexprIsVar(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetNext(), SCIPexpriterGetStageDFS(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetStagesDFS(), SCIPgetCoefExprProduct(), SCIPgetCoefsExprSum(), SCIPgetConstantExprSum(), SCIPgetExponentExprPow(), SCIPgetValueExprValue(), SCIPgetVarExprVar(), SCIPmessageFPrintInfo(), SCIPvarGetLbLocal(), SCIPvarGetName(), SCIPvarGetUbLocal(), and TRUE.

Referenced by SCIPdismantleExpr().

SCIPexprEval()

SCIP_RETCODE SCIPexprEval	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	expr,
		SCIP_SOL *	sol,
		SCIP_Longint	soltag
	)

evaluate an expression in a point

Iterates over expressions to also evaluate children, if necessary. Value can be received via SCIPexprGetEvalValue(). If an evaluation error (division by zero, ...) occurs, this value will be set to SCIP_INVALID.

If a nonzero soltag is passed, then only (sub)expressions are reevaluated that have a different solution tag. If a soltag of 0 is passed, then subexpressions are always reevaluated. The tag is stored together with the value and can be received via SCIPexprGetEvalTag().

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
expr	expression to be evaluated
sol	solution to be evaluated
soltag	tag that uniquely identifies the solution (with its values), or 0.

Definition at line 2628 of file expr.c.

References SCIP_Expr::evaltag, SCIP_Expr::evalvalue, SCIP_Expr::exprhdlr, NULL, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_LEAVEEXPR, SCIP_EXPRITER_VISITINGCHILD, SCIP_INVALID, SCIP_OKAY, SCIPABORT, SCIPexprhdlrEvalExpr(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetNext(), SCIPexpriterGetStageDFS(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetStagesDFS(), SCIPexpriterSkipDFS(), and TRUE.

Referenced by SCIPevalExpr(), SCIPexprEvalGradient(), SCIPnlrowGetSolActivity(), SCIPnlrowRecalcNLPActivity(), and SCIPnlrowRecalcPseudoActivity().

SCIPexprEvalGradient()

SCIP_RETCODE SCIPexprEvalGradient	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	rootexpr,
		SCIP_SOL *	sol,
		SCIP_Longint	soltag
	)

evaluates gradient of an expression for a given point

Initiates an expression walk to also evaluate children, if necessary. Value can be received via SCIPgetExprPartialDiffNonlinear(). If an error (division by zero, ...) occurs, this value will be set to SCIP_INVALID.

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
rootexpr	expression to be evaluated
sol	solution to be evaluated (NULL for the current LP solution)
soltag	tag that uniquely identifies the solution (with its values), or 0.

Definition at line 2719 of file expr.c.

References SCIP_Expr::derivative, SCIP_Expr::difftag, SCIP_Expr::evalvalue, SCIP_Expr::exprhdlr, SCIP_Stat::exprlastdifftag, NULL, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_VISITINGCHILD, SCIP_INVALID, SCIP_Longint, SCIP_OKAY, SCIP_Real, SCIPexprEval(), SCIPexprGetEvalValue(), SCIPexprhdlrBwDiffExpr(), SCIPexprIsValue(), SCIPexprIsVar(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetCurrent(), SCIPexpriterGetNext(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetStagesDFS(), and TRUE.

Referenced by SCIPevalExprGradient().

SCIPexprEvalHessianDir()

SCIP_RETCODE SCIPexprEvalHessianDir	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	rootexpr,
		SCIP_SOL *	sol,
		SCIP_Longint	soltag,
		SCIP_SOL *	direction
	)

evaluates Hessian-vector product of an expression for a given point and direction

Evaluates children, if necessary. Value can be received via SCIPgetExprPartialDiffGradientDirNonlinear() If an error (division by zero, ...) occurs, this value will be set to SCIP_INVALID.

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
rootexpr	expression to be evaluated
sol	solution to be evaluated (NULL for the current LP solution)
soltag	tag that uniquely identifies the solution (with its values), or 0.
direction	direction

Definition at line 2818 of file expr.c.

References SCIP_Expr::bardot, SCIP_Expr::derivative, SCIP_Expr::dot, evalAndDiff(), SCIP_Expr::evalvalue, SCIP_Expr::exprhdlr, NULL, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_VISITINGCHILD, SCIP_INVALID, SCIP_OKAY, SCIP_Real, SCIPexprhdlrBwDiffExpr(), SCIPexprhdlrBwFwDiffExpr(), SCIPexprIsValue(), SCIPexprIsVar(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetCurrent(), SCIPexpriterGetNext(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetStagesDFS(), and TRUE.

Referenced by SCIPevalExprHessianDir().

SCIPexprEvalActivity()

SCIP_RETCODE SCIPexprEvalActivity	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	rootexpr
	)

possibly reevaluates and then returns the activity of the expression

Reevaluate activity if currently stored is no longer uptodate. If the expr owner provided a evalactivity-callback, then call this. Otherwise, loop over descendants and compare activitytag with stat's domchgcount, i.e., whether some bound was changed since last evaluation, to check whether exprhdlrs INTEVAL should be called.

Note

If expression is set to be integral, then activities are tightened to integral values. Thus, ensure that the integrality information is valid (if set to TRUE; the default (FALSE) is always ok).

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
rootexpr	expression

Definition at line 2924 of file expr.c.

References SCIP_Expr::activity, SCIP_Expr::activitytag, SCIP_Stat::domchgcount, NULL, SCIP_Expr::ownerdata, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_LEAVEEXPR, SCIP_EXPRITER_VISITINGCHILD, SCIP_INTERVAL_INFINITY, SCIP_OKAY, SCIPABORT, SCIPexprhdlrIntEvalExpr(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetCurrent(), SCIPexpriterGetNext(), SCIPexpriterGetStageDFS(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetStagesDFS(), SCIPexpriterSkipDFS(), SCIPintervalSetEmpty(), SCIPintervalSetEntire(), SCIPprintExpr(), SCIPsetCeil(), SCIPsetDebugMsg, SCIPsetDebugMsgPrint, SCIPsetFloor(), SCIPsetIsInfinity(), and TRUE.

Referenced by nlrowCalcActivityBounds(), and SCIPevalExprActivity().

SCIPexprCompare()

int SCIPexprCompare	(	SCIP_SET *	set,
		SCIP_EXPR *	expr1,
		SCIP_EXPR *	expr2
	)

compare expressions

Returns

-1, 0 or 1 if expr1 <, =, > expr2, respectively

Note

The given expressions are assumed to be simplified.

Parameters

set	global SCIP settings
expr1	first expression
expr2	second expression

Definition at line 3056 of file expr.c.

References SCIP_Expr::children, SCIP_Expr::exprhdlr, SCIP_Expr::nchildren, SCIPexprCompare(), SCIPexprhdlrCompareExpr(), SCIPexprhdlrGetName(), SCIPexprIsPower(), SCIPexprIsProduct(), SCIPexprIsSum(), SCIPexprIsValue(), SCIPexprIsVar(), SCIPgetCoefsExprSum(), and SCIPgetExponentExprPow().

Referenced by findEqualExpr(), SCIP_DECL_HASHKEYEQ(), SCIPcompareExpr(), SCIPexprCompare(), SCIPexprhdlrCompareExpr(), and SCIPreplaceCommonSubexpressions().

SCIPexprSimplify()

SCIP_RETCODE SCIPexprSimplify	(	SCIP_SET *	set,
		SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	rootexpr,
		SCIP_EXPR **	simplified,
		SCIP_Bool *	changed,
		SCIP_Bool *	infeasible,
		SCIP_DECL_EXPR_OWNERCREATE((*ownercreate))	,
		void *	ownercreatedata
	)

simplifies an expression

See also

SCIPsimplifyExpr

Parameters

set	global SCIP settings
stat	dynamic problem statistics
blkmem	block memory
rootexpr	expression to be simplified
simplified	buffer to store simplified expression
changed	buffer to store if rootexpr actually changed
infeasible	buffer to store whether infeasibility has been detected
ownercreatedata	data to pass to ownercreate

Definition at line 3163 of file expr.c.

References SCIP_Expr::exprhdlr, FALSE, NULL, SCIP_EXPRITER_USERDATA::ptrval, SCIP_CALL, SCIP_EXPRITER_DFS, SCIP_EXPRITER_LEAVEEXPR, SCIP_EXPRITER_VISITEDCHILD, SCIP_OKAY, SCIPABORT, SCIPexprhdlrSimplifyExpr(), SCIPexpriterCreate(), SCIPexpriterFree(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetChildUserDataDFS(), SCIPexpriterGetCurrent(), SCIPexpriterGetExprUserData(), SCIPexpriterGetNext(), SCIPexpriterGetStageDFS(), SCIPexpriterInit(), SCIPexpriterIsEnd(), SCIPexpriterSetCurrentUserData(), SCIPexpriterSetStagesDFS(), SCIPexprRelease(), SCIPexprReplaceChild(), and TRUE.

Referenced by nlrowSimplifyExpr(), SCIPnlrowChgExpr(), and SCIPsimplifyExpr().

SCIPexpriterCreate()

SCIP_RETCODE SCIPexpriterCreate	(	SCIP_STAT *	stat,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPRITER **	iterator
	)

creates an expression iterator

Parameters

stat	dynamic problem statistics
blkmem	block memory
iterator	buffer to store expression iterator

Definition at line 417 of file expriter.c.

References BMSallocClearBlockMemory, NULL, SCIP_ALLOC, and SCIP_OKAY.

Referenced by evalAndDiff(), nlpAddNlRows(), nlpDelVarPos(), SCIPcomputeExprCurvature(), SCIPcomputeExprIntegrality(), SCIPcreateExpriter(), SCIPexprCopy(), SCIPexprDismantle(), SCIPexprEval(), SCIPexprEvalActivity(), SCIPexprEvalGradient(), SCIPexprEvalHessianDir(), SCIPexprPrint(), SCIPexprPrintDotInit(), SCIPexprRelease(), SCIPexprSimplify(), SCIPgetExprNVars(), SCIPgetExprVarExprs(), SCIPhashExpr(), SCIPnlpGetVarsNonlinearity(), and SCIPnlpHasContinuousNonlinearity().

SCIPexpriterFree()

void SCIPexpriterFree

(

SCIP_EXPRITER **

iterator

)

frees an expression iterator

Parameters

iterator

pointer to the expression iterator

Definition at line 436 of file expriter.c.

References BMSfreeBlockMemory, deinit(), and NULL.

Referenced by evalAndDiff(), nlpAddNlRows(), nlpDelVarPos(), SCIPcomputeExprCurvature(), SCIPcomputeExprIntegrality(), SCIPexprCopy(), SCIPexprDismantle(), SCIPexprEval(), SCIPexprEvalActivity(), SCIPexprEvalGradient(), SCIPexprEvalHessianDir(), SCIPexprPrint(), SCIPexprPrintDotFinal(), SCIPexprRelease(), SCIPexprSimplify(), SCIPfreeExpriter(), SCIPgetExprNVars(), SCIPgetExprVarExprs(), SCIPhashExpr(), SCIPnlpGetVarsNonlinearity(), SCIPnlpHasContinuousNonlinearity(), and SCIPreplaceCommonSubexpressions().

SCIPexprCheckQuadratic()

SCIP_RETCODE SCIPexprCheckQuadratic	(	SCIP_SET *	set,
		BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	expr,
		SCIP_Bool *	isquadratic
	)

checks whether an expression is quadratic

An expression is quadratic if it is either a power expression with exponent 2.0, a product of two expressions, or a sum of terms where at least one is a square or a product of two.

Use SCIPexprGetQuadraticData to get data about the representation as quadratic.

Parameters

set	global SCIP settings
blkmem	block memory
expr	expression
isquadratic	buffer to store result

Definition at line 3260 of file expr.c.

References SCIP_QuadExpr_QuadTerm::adjbilin, SCIP_QuadExpr::allexprsarevars, SCIP_QuadExpr::bilinexprterms, BMSallocBlockMemoryArray, BMSallocClearBlockMemory, BMSallocClearBlockMemoryArray, SCIP_QuadExpr_BilinTerm::coef, SCIP_QuadExpr_QuadTerm::expr, SCIP_QuadExpr_BilinTerm::expr1, SCIP_QuadExpr_BilinTerm::expr2, FALSE, SCIP_QuadExpr_QuadTerm::lincoef, SCIP_QuadExpr_QuadTerm::nadjbilin, NULL, SCIP_QuadExpr_BilinTerm::pos2, SCIP_QuadExpr_BilinTerm::prodexpr, SCIP_Expr::quadchecked, SCIP_Expr::quaddata, quadDetectGetQuadexprterm(), quadDetectProcessExpr(), SCIP_QuadExpr::quadexprterms, SCIP_ALLOC, SCIP_CALL, SCIP_OKAY, SCIP_Real, SCIPexprGetChildren(), SCIPexprGetNChildren(), SCIPexprIsPower(), SCIPexprIsProduct(), SCIPexprIsSum(), SCIPexprIsVar(), SCIPgetCoefExprProduct(), SCIPgetCoefsExprSum(), SCIPgetConstantExprSum(), SCIPgetExponentExprPow(), SCIPhashmapCreate(), SCIPhashmapExists(), SCIPhashmapFree(), SCIPhashmapGetImageInt(), SCIPhashmapInsertInt(), SCIPhashmapSetImageInt(), SCIPsetDebugMsg, SCIP_QuadExpr_QuadTerm::sqrcoef, SCIP_QuadExpr_QuadTerm::sqrexpr, and TRUE.

Referenced by SCIPcheckExprQuadratic().

SCIPexprFreeQuadratic()

void SCIPexprFreeQuadratic	(	BMS_BLKMEM *	blkmem,
		SCIP_EXPR *	expr
	)

frees information on quadratic representation of an expression

Reverts SCIPexprCheckQuadratic(). Before doing changes to an expression, it can be useful to call this function.

Parameters

blkmem	block memory
expr	expression

Definition at line 3528 of file expr.c.

References SCIP_QuadExpr_QuadTerm::adjbilin, SCIP_QuadExpr_QuadTerm::adjbilinsize, SCIP_QuadExpr::bilinexprterms, BMSfreeBlockMemory, BMSfreeBlockMemoryArrayNull, SCIP_QuadExpr::eigenvalues, SCIP_QuadExpr::eigenvectors, FALSE, SCIP_QuadExpr::lincoefs, SCIP_QuadExpr::linexprs, SCIP_QuadExpr::nbilinexprterms, SCIP_QuadExpr::nlinexprs, SCIP_QuadExpr::nquadexprs, NULL, SCIP_Expr::quadchecked, SCIP_Expr::quaddata, and SCIP_QuadExpr::quadexprterms.

Referenced by SCIPexprRelease(), and SCIPfreeExprQuadratic().

SCIPexprComputeQuadraticCurvature()

SCIP_RETCODE SCIPexprComputeQuadraticCurvature	(	SCIP_SET *	set,
		BMS_BLKMEM *	blkmem,
		BMS_BUFMEM *	bufmem,
		SCIP_MESSAGEHDLR *	messagehdlr,
		SCIP_EXPR *	expr,
		SCIP_EXPRCURV *	curv,
		SCIP_HASHMAP *	assumevarfixed,
		SCIP_Bool	storeeigeninfo
	)

Checks the curvature of the quadratic function stored in quaddata

For this, it builds the matrix Q of quadratic coefficients and computes its eigenvalues using LAPACK. If Q is

• semidefinite positive -> curv is set to convex,
• semidefinite negative -> curv is set to concave,
• otherwise -> curv is set to unknown.

If assumevarfixed is given and some expressions in quadratic terms correspond to variables present in this hashmap, then the corresponding rows and columns are ignored in the matrix Q.

Parameters

set	global SCIP settings
blkmem	block memory
bufmem	buffer memory
messagehdlr	message handler
expr	quadratic expression
curv	pointer to store the curvature of quadratics
assumevarfixed	hashmap containing variables that should be assumed to be fixed, or NULL
storeeigeninfo	whether the eigenvalues and eigenvectors should be stored

Definition at line 3573 of file expr.c.

References SCIP_QuadExpr::bilinexprterms, BMSallocBlockMemoryArray, BMSallocBufferMemoryArray, BMSallocClearBlockMemoryArray, BMSallocClearBufferMemoryArray, BMSfreeBufferMemoryArray, SCIP_QuadExpr_BilinTerm::coef, SCIP_QuadExpr::curvature, SCIP_QuadExpr::curvaturechecked, SCIP_QuadExpr::eigeninfostored, SCIP_QuadExpr::eigenvalues, SCIP_QuadExpr::eigenvectors, SCIP_QuadExpr_QuadTerm::expr, SCIP_QuadExpr_BilinTerm::expr1, SCIP_QuadExpr_BilinTerm::expr2, FALSE, SCIP_QuadExpr_QuadTerm::nadjbilin, SCIP_QuadExpr::nbilinexprterms, SCIP_QuadExpr::nquadexprs, NULL, SCIP_Expr::quaddata, SCIP_QuadExpr::quadexprterms, SCIP_ALLOC, SCIP_CALL, SCIP_EXPRCURV_CONCAVE, SCIP_EXPRCURV_CONVEX, SCIP_EXPRCURV_UNKNOWN, SCIP_OKAY, SCIP_Real, SCIP_VERBLEVEL_FULL, SCIPcallLapackDsyevIpopt(), SCIPexprIsVar(), SCIPgetVarExprVar(), SCIPhashmapCreate(), SCIPhashmapExists(), SCIPhashmapFree(), SCIPhashmapGetImage(), SCIPhashmapInsert(), SCIPisIpoptAvailableIpopt(), SCIPmessageFPrintVerbInfo(), SCIPmessagePrintWarning(), SCIPsetIsNegative(), SCIPsetIsPositive(), SCIP_QuadExpr_QuadTerm::sqrcoef, and TRUE.

Referenced by SCIPcomputeExprQuadraticCurvature().