Detailed Description

type and macro definitions related to algebraic expressions

Author: Ksenia Bestuzheva; Benjamin Mueller; Felipe Serrano; Stefan Vigerske

This file defines the interface for expression handlers.

List of available expression handlers

Definition in file type_expr.h.

#include "scip/def.h"
#include "scip/intervalarith.h"
#include "scip/type_scip.h"
#include "scip/type_sol.h"
#include "scip/type_var.h"
#include "scip/type_tree.h"

Go to the source code of this file.

Data Structures
union	SCIP_EXPRITER_USERDATA

Macros
#define	SCIP_DECL_EXPR_INTEVALVAR(x)

#define	SCIP_DECL_EXPR_MAPEXPR(x)

Typedefs
typedef struct SCIP_ExprData	SCIP_EXPRDATA

typedef struct SCIP_Expr	SCIP_EXPR

Enumerations
enum	SCIP_EXPRCURV { SCIP_EXPRCURV_UNKNOWN = 0, SCIP_EXPRCURV_CONVEX = 1, SCIP_EXPRCURV_CONCAVE = 2, SCIP_EXPRCURV_LINEAR = SCIP_EXPRCURV_CONVEX \| SCIP_EXPRCURV_CONCAVE }

enum	SCIP_MONOTONE { SCIP_MONOTONE_UNKNOWN = 0, SCIP_MONOTONE_INC = 1, SCIP_MONOTONE_DEC = 2, SCIP_MONOTONE_CONST = SCIP_MONOTONE_INC \| SCIP_MONOTONE_DEC }

Expression Owner
#define	SCIP_DECL_EXPR_OWNERFREE(x)

#define	SCIP_DECL_EXPR_OWNERPRINT(x)

#define	SCIP_DECL_EXPR_OWNEREVALACTIVITY(x)

#define	SCIP_DECL_EXPR_OWNERCREATE(x)

typedef struct SCIP_Expr_OwnerData	SCIP_EXPR_OWNERDATA

Expression Handler
#define	SCIP_EXPR_MAXINITESTIMATES 10

#define	SCIP_DECL_EXPRCOPYHDLR(x)

#define	SCIP_DECL_EXPRFREEHDLR(x)

#define	SCIP_DECL_EXPRCOPYDATA(x)

#define	SCIP_DECL_EXPRFREEDATA(x)

#define	SCIP_DECL_EXPRPRINT(x)

#define	SCIP_DECL_EXPRPARSE(x)

#define	SCIP_DECL_EXPRCURVATURE(x)

#define	SCIP_DECL_EXPRMONOTONICITY(x)

#define	SCIP_DECL_EXPRINTEGRALITY(x)

#define	SCIP_DECL_EXPRHASH(x)

#define	SCIP_DECL_EXPRCOMPARE(x)

#define	SCIP_DECL_EXPREVAL(x)

#define	SCIP_DECL_EXPRBWDIFF(x)

#define	SCIP_DECL_EXPRFWDIFF(x)

#define	SCIP_DECL_EXPRBWFWDIFF(x)

#define	SCIP_DECL_EXPRINTEVAL(x)

#define	SCIP_DECL_EXPRESTIMATE(x)

#define	SCIP_DECL_EXPRINITESTIMATES(x)

#define	SCIP_DECL_EXPRSIMPLIFY(x)

#define	SCIP_DECL_EXPRREVERSEPROP(x)

typedef struct SCIP_Exprhdlr	SCIP_EXPRHDLR

typedef struct SCIP_ExprhdlrData	SCIP_EXPRHDLRDATA

Expression iterator
#define	SCIP_EXPRITER_MAXNACTIVE 5

#define	SCIP_EXPRITER_ENTEREXPR 1u

#define	SCIP_EXPRITER_VISITINGCHILD 2u

#define	SCIP_EXPRITER_VISITEDCHILD 4u

#define	SCIP_EXPRITER_LEAVEEXPR 8u

#define	SCIP_EXPRITER_ALLSTAGES (SCIP_EXPRITER_ENTEREXPR \| SCIP_EXPRITER_VISITINGCHILD \| SCIP_EXPRITER_VISITEDCHILD \| SCIP_EXPRITER_LEAVEEXPR)

enum	SCIP_EXPRITER_TYPE { SCIP_EXPRITER_RTOPOLOGIC, SCIP_EXPRITER_BFS, SCIP_EXPRITER_DFS }

typedef unsigned int	SCIP_EXPRITER_STAGE

typedef struct SCIP_ExprIterData	SCIP_EXPRITERDATA

typedef struct SCIP_ExprIter	SCIP_EXPRITER

Expression printing
#define	SCIP_EXPRPRINT_EXPRSTRING 0x1u

#define	SCIP_EXPRPRINT_EXPRHDLR 0x2u

#define	SCIP_EXPRPRINT_NUSES 0x4u

#define	SCIP_EXPRPRINT_EVALVALUE 0x8u

#define	SCIP_EXPRPRINT_EVALTAG 0x18u

#define	SCIP_EXPRPRINT_ACTIVITY 0x20u

#define	SCIP_EXPRPRINT_ACTIVITYTAG 0x60u

#define	SCIP_EXPRPRINT_OWNER 0x80u

#define	SCIP_EXPRPRINT_ALL SCIP_EXPRPRINT_EXPRSTRING \| SCIP_EXPRPRINT_EXPRHDLR \| SCIP_EXPRPRINT_NUSES \| SCIP_EXPRPRINT_EVALTAG \| SCIP_EXPRPRINT_ACTIVITYTAG \| SCIP_EXPRPRINT_OWNER

typedef unsigned int	SCIP_EXPRPRINT_WHAT

typedef struct SCIP_ExprPrintData	SCIP_EXPRPRINTDATA

Macro Definition Documentation

◆ SCIP_DECL_EXPR_OWNERFREE

#define SCIP_DECL_EXPR_OWNERFREE ( x )

Value:

SCIP_RETCODE x(\
   SCIP*                 scip, \
   SCIP_EXPR*            expr, \
   SCIP_EXPR_OWNERDATA** ownerdata)

callback for freeing ownerdata of expression

This callback is called while an expression is freed. The callback shall free the ownerdata, if any. That is, the callback is also called on expressions that only store this callback, but no ownerdata.

Note, that the children of the expression have already been released when this callback is called. The callback must not try to access the expressions children.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	the expression which is freed
[in]	ownerdata	the ownerdata stored in the expression

Definition at line 92 of file type_expr.h.

◆ SCIP_DECL_EXPR_OWNERPRINT

#define SCIP_DECL_EXPR_OWNERPRINT ( x )

Value:

SCIP_RETCODE x(\
   SCIP*                 scip, \
   FILE*                 file, \
   SCIP_EXPR*            expr, \
   SCIP_EXPR_OWNERDATA*  ownerdata)

callback for printing ownerdata of expression

This callback is called when printing details on an expression, e.g., SCIPdismantleExpr().

Parameters

[in]	scip	SCIP main data structure
[in]	expr	the expression which is printed
[in]	file	file to print to, or NULL for stdout
[in]	ownerdata	the ownerdata stored in the expression

Definition at line 106 of file type_expr.h.

◆ SCIP_DECL_EXPR_OWNEREVALACTIVITY

#define SCIP_DECL_EXPR_OWNEREVALACTIVITY ( x )

Value:

SCIP_RETCODE x(\
   SCIP*                 scip, \
   SCIP_EXPR*            expr, \
   SCIP_EXPR_OWNERDATA*  ownerdata)

callback for owner-specific activity evaluation

This callback is called when evaluating the activity of an expression, e.g., SCIPevalActivity(). The callback should ensure that activity is updated, if required, by calling SCIPsetActivity(). The callback can use the activitytag in the expression to recognize whether it needs to become active.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	the expression for which activity should be updated
[in]	ownerdata	the ownerdata stored in the expression

Definition at line 122 of file type_expr.h.

◆ SCIP_DECL_EXPR_OWNERCREATE

#define SCIP_DECL_EXPR_OWNERCREATE ( x )

Value:

SCIP_RETCODE x(\
   SCIP*                 scip,                              \
   SCIP_EXPR*            expr,                              \
   SCIP_EXPR_OWNERDATA** ownerdata,                         \
   SCIP_DECL_EXPR_OWNERFREE((**ownerfree)),                 \
   SCIP_DECL_EXPR_OWNERPRINT((**ownerprint)),               \
   SCIP_DECL_EXPR_OWNEREVALACTIVITY((**ownerevalactivity)), \
   void*                 ownercreatedata)

callback for creating ownerdata of expression

This callback is called when an expression has been created. It can create data which is then stored in the expression.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	the expression that has been created
[out]	ownerdata	buffer to store ownerdata that shall be stored in expression (can be NULL, initialized to NULL)
[out]	ownerfree	buffer to store function to be called to free ownerdata when expression is freed (can be NULL, initialized to NULL)
[out]	ownerprint	buffer to store function to be called to print ownerdata (can be NULL, initialized to NULL)
[out]	ownerevalactivity	buffer to store function to be called to evaluate activity (can be NULL, initialized to NULL)
[in]	ownercreatedata	data that has been passed on by future owner of expression that can be used to create ownerdata

Definition at line 140 of file type_expr.h.

Referenced by SCIP_DECL_VERTEXPOLYFUN().

◆ SCIP_DECL_EXPR_INTEVALVAR

#define SCIP_DECL_EXPR_INTEVALVAR ( x )

Value:

SCIP_INTERVAL x (\
   SCIP*     scip,          \
   SCIP_VAR* var,           \
   void*     intevalvardata \
   )

callback that returns bounds for a given variable as used in interval evaluation

Implements a relaxation scheme for variable bounds and translates between different infinity values. Returns an interval that contains the current variable bounds, but might be (slightly) larger.

Parameters

[in]	scip	SCIP main data structure
[in]	var	variable for which to obtain bounds
[in]	intevalvardata	data that belongs to this callback

Definition at line 160 of file type_expr.h.

◆ SCIP_DECL_EXPR_MAPEXPR

#define SCIP_DECL_EXPR_MAPEXPR ( x )

Value:

SCIP_RETCODE x (\
   SCIP*       targetscip,                     \
   SCIP_EXPR** targetexpr,                     \
   SCIP*       sourcescip,                     \
   SCIP_EXPR*  sourceexpr,                     \
   SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), \
   void*       ownercreatedata,                \
   void*       mapexprdata)

expression mapping callback for expression copy callback

The method maps an expression (in a source SCIP instance) to an expression (in a target SCIP instance) and captures the target expression.

Parameters

[in]	targetscip	target SCIP main data structure
[out]	targetexpr	pointer to store the mapped expression, or NULL if expression shall be copied; initialized to NULL
[in]	sourcescip	source SCIP main data structure
[in]	sourceexpr	expression to be mapped
[in]	ownercreate	callback to call when creating a new expression
[in]	ownercreatedata	data for ownercreate callback
[in]	mapexprdata	data of mapexpr callback

Definition at line 179 of file type_expr.h.

◆ SCIP_EXPR_MAXINITESTIMATES

#define SCIP_EXPR_MAXINITESTIMATES 10

the maximal number of estimates an expression handler can return in the INITESTIMATES callback

Definition at line 195 of file type_expr.h.

Referenced by SCIP_DECL_EXPRINITESTIMATES(), and SCIP_DECL_NLHDLRINITSEPA().

◆ SCIP_DECL_EXPRCOPYHDLR

#define SCIP_DECL_EXPRCOPYHDLR ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip, \
   SCIP_EXPRHDLR* sourceexprhdlr)

expression handler copy callback

The method should include the expression handler into a given SCIP instance. It is usually called when doing a copy of SCIP.

Parameters

[in]	scip	target SCIP main data structure where to include expression handler
[in]	sourceexprhdlr	expression handler in source SCIP

◆ SCIP_DECL_EXPRFREEHDLR

#define SCIP_DECL_EXPRFREEHDLR ( x )

Value:

SCIP_RETCODE x (\
   SCIP*               scip,     \
   SCIP_EXPRHDLR*      exprhdlr, \
   SCIP_EXPRHDLRDATA** exprhdlrdata)

expression handler free callback

Frees the data of an expression handler.

Parameters

[in]	scip	SCIP main data structure
[in]	exprhdlr	expression handler
[in]	exprhdlrdata	expression handler data to be freed

◆ SCIP_DECL_EXPRCOPYDATA

#define SCIP_DECL_EXPRCOPYDATA ( x )

Value:

SCIP_RETCODE x (\
   SCIP*           targetscip,     \
   SCIP_EXPRHDLR*  targetexprhdlr, \
   SCIP_EXPRDATA** targetexprdata, \
   SCIP*           sourcescip,     \
   SCIP_EXPR*      sourceexpr)

expression data copy callback

Copies the data of an expression.

This method is called when creating copies of an expression within the same or between different SCIP instances. It is given the source expression, which data shall be copied. It expects that *targetexprdata will be set. This data will then be used to create a new expression.

This callback must be implemented for expressions that have data.

Parameters

[in]	targetscip	target SCIP main data structure
[in]	targetexprhdlr	expression handler in target SCIP
[out]	targetexprdata	pointer to store the copied expression data
[in]	sourcescip	source SCIP main data structure
[in]	sourceexpr	expression in source SCIP which data is to be copied

◆ SCIP_DECL_EXPRFREEDATA

#define SCIP_DECL_EXPRFREEDATA ( x )

Value:

SCIP_RETCODE x (\
   SCIP*      scip, \
   SCIP_EXPR* expr)

expression data free callback

Frees the data of an expression. Shall call SCIPexprSetData(expr, NULL).

This callback must be implemented for expressions that have data.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	the expression which data to be freed

◆ SCIP_DECL_EXPRPRINT

#define SCIP_DECL_EXPRPRINT ( x )

Value:

SCIP_RETCODE x (\
   SCIP*               scip, \
   SCIP_EXPR*          expr, \
   SCIP_EXPRITER_STAGE stage, \
   int                 currentchild, \
   unsigned int        parentprecedence, \
   FILE*               file)

expression print callback

Prints an expression. It is called while DFS-iterating over the expression at different stages, that is, when the expression is visited the first time, before each child of the expression is visited, after each child of the expression has been visited, and when the iterator leaves the expression for its parent. See also expression iteration docu.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression which data is to be printed
[in]	stage	stage of expression iteration
[in]	currentchild	index of current child if in stage visitingchild or visitedchild
[in]	parentprecedence	precedence of parent
[in]	file	the file to print to

◆ SCIP_DECL_EXPRPARSE

#define SCIP_DECL_EXPRPARSE ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip,                        \
   SCIP_EXPRHDLR* exprhdlr,                    \
   const char*    string,                      \
   const char**   endstring,                   \
   SCIP_EXPR**    expr,                        \
   SCIP_Bool*     success,                     \
   SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), \
   void*          ownercreatedata)

expression parse callback

Parses an expression. It is called when parsing an expression and an operator with the expr handler name is found.

Parameters

[in]	scip	SCIP main data structure
[in]	string	string containing expression to be parse
[in]	ownercreate	function to call to create ownerdata
[in]	ownercreatedata	data to pass to ownercreate
[out]	endstring	buffer to store the position of string after parsing
[out]	expr	buffer to store the parsed expression
[out]	success	buffer to store whether the parsing was successful or not

◆ SCIP_DECL_EXPRCURVATURE

#define SCIP_DECL_EXPRCURVATURE ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip,          \
   SCIP_EXPR*     expr,          \
   SCIP_EXPRCURV  exprcurvature, \
   SCIP_Bool*     success,       \
   SCIP_EXPRCURV* childcurv)

expression curvature detection callback

The method returns whether an expression can have a desired curvature under conditions on the curvature of the children. That is, the method shall return TRUE in success and requirements on the curvature for each child which will suffice for this expression to be convex (or concave, or linear, as specified by caller) w.r.t. the current activities of all children. It can return "unknown" for a child's curvature if its curvature does not matter (though that's rarely the case).

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to check the curvature for
[in]	exprcurvature	desired curvature of this expression
[out]	success	buffer to store whether the desired curvature was obtained
[out]	childcurv	array to store required curvature for each child

◆ SCIP_DECL_EXPRMONOTONICITY

#define SCIP_DECL_EXPRMONOTONICITY ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip,     \
   SCIP_EXPR*     expr,     \
   int            childidx, \
   SCIP_MONOTONE* result)

expression monotonicity detection callback

The method computes the monotonicity of an expression with respect to a given child.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to check the monotonicity for
[in]	childidx	index of the considered child expression
[out]	result	buffer to store the monotonicity

◆ SCIP_DECL_EXPRINTEGRALITY

#define SCIP_DECL_EXPRINTEGRALITY ( x )

Value:

SCIP_RETCODE x (\
   SCIP*      scip, \
   SCIP_EXPR* expr, \
   SCIP_Bool* isintegral)

expression integrality detection callback

The method checks whether an expression evaluates always to an integral value in a feasible solution. Usually uses SCIPexprIsIntegral() to check whether children evaluate to an integral value.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to check the integrality for
[out]	isintegral	buffer to store whether expr is integral

◆ SCIP_DECL_EXPRHASH

#define SCIP_DECL_EXPRHASH ( x )

Value:

SCIP_RETCODE x (\
   SCIP*         scip,    \
   SCIP_EXPR*    expr,    \
   unsigned int* hashkey, \
   unsigned int* childrenhashes)

expression hash callback

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

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to be hashed
[out]	hashkey	buffer to store the hash value
[in]	childrenhashes	array with hash values of children

◆ SCIP_DECL_EXPRCOMPARE

#define SCIP_DECL_EXPRCOMPARE ( x )

Value:

int x (\
   SCIP*      scip,  \
   SCIP_EXPR* expr1, \
   SCIP_EXPR* expr2)

expression compare callback

the method receives two expressions, expr1 and expr2. Must return -1 if expr1 < expr2, or 0 if expr1 = expr2, or 1 if expr1 > expr2.

Parameters

[in]	scip	SCIP main data structure
[in]	expr1	first expression in comparison
[in]	expr2	second expression in comparison

◆ SCIP_DECL_EXPREVAL

#define SCIP_DECL_EXPREVAL ( x )

Value:

SCIP_RETCODE x (\
   SCIP*      scip, \
   SCIP_EXPR* expr, \
   SCIP_Real* val,  \
   SCIP_SOL*  sol)

expression (point-) evaluation callback

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

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to be evaluated
[out]	val	buffer where to store value
[in]	sol	solution that is evaluated (can be NULL)

◆ SCIP_DECL_EXPRBWDIFF

#define SCIP_DECL_EXPRBWDIFF ( x )

Value:

SCIP_RETCODE x (\
   SCIP*      scip,     \
   SCIP_EXPR* expr,     \
   int        childidx, \
   SCIP_Real* val)

backward derivative evaluation callback

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

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

See Differentiation methods in scip_expr.h for more details.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to be differentiated
[in]	childidx	index of the child
[out]	val	buffer to store the partial derivative w.r.t. the childidx-th children

◆ SCIP_DECL_EXPRFWDIFF

#define SCIP_DECL_EXPRFWDIFF ( x )

Value:

SCIP_RETCODE x (\
   SCIP*      scip, \
   SCIP_EXPR* expr, \
   SCIP_Real* dot,  \
   SCIP_SOL*  direction)

forward derivative evaluation callback

The method should evaluate the directional derivative of expr. The expr should be interpreted as an operator \( \text{expr}(c_1, \ldots, c_n) \), where \( c_1, \ldots, c_n \) are the children of the expr. The directional derivative is evaluated at the point SCIPexprGetEvalValue \((c_1)\), ..., SCIPexprGetEvalValue \((c_n)\) in the direction given by direction.

This method should return

\[ \sum_{i = 1}^n \frac{\partial \text{expr}}{\partial c_i} D_u c_i, \]

where \( u \) is the direction and \( D_u c_i \) is the directional derivative of the i-th child, which can be accessed via SCIPexprGetDot().

See Differentiation methods in scip_expr.h for more details.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to be differentiated
[out]	dot	buffer to store derivative value
[in]	direction	direction of the derivative (useful only for var expressions)

◆ SCIP_DECL_EXPRBWFWDIFF

#define SCIP_DECL_EXPRBWFWDIFF ( x )

Value:

SCIP_RETCODE x (\
   SCIP*      scip,     \
   SCIP_EXPR* expr,     \
   int        childidx, \
   SCIP_Real* bardot,   \
   SCIP_SOL*  direction)

derivative evaluation callback for Hessian directions (backward over forward)

The method computes the total derivative, w.r.t. its children, of the partial derivative of expr w.r.t. childidx. Equivalently, it computes the partial derivative w.r.t. childidx of the total derivative.

The expr should be interpreted as an operator \( \text{expr}(c_1, \ldots, c_n) \), where \( c_1, \ldots, c_n \) are the children of the expr. The directional derivative is evaluated at the point SCIPexprGetEvalValue \((c_1)\), ..., SCIPexprGetEvalValue \((c_n)\) in the direction given by direction.

This method should return

\[ \sum_{i = 1}^n \frac{\partial^2 \text{expr}}{\partial c_i} \partial c_{\text{childidx}} D_u c_i, \]

where \( u \) is the direction and \( D_u c_i \) is the directional derivative of the i-th child, which can be accessed via SCIPexprGetDot().

Thus, if \( n = 1 \) (i.e. if expr represents an univariate operator), the method should return

\[ \text{expr}^{\prime \prime}(\text{SCIPexprGetEvalValue}(c)) D_u c. \]

See Differentiation methods in scip_expr.h for more details.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to be evaluated
[in]	childidx	index of the child
[out]	bardot	buffer to store derivative value
[in]	direction	direction of the derivative (useful only for var expressions)

◆ SCIP_DECL_EXPRINTEVAL

#define SCIP_DECL_EXPRINTEVAL ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip,                      \
   SCIP_EXPR*     expr,                      \
   SCIP_INTERVAL* interval,                  \
   SCIP_DECL_EXPR_INTEVALVAR((*intevalvar)), \
   void*          intevalvardata)

expression (interval-) evaluation callback

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

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to be evaluated
[out]	interval	buffer where to store interval
[in]	intevalvar	callback to be called when interval evaluating a variable
[in]	intevalvardata	data to be passed to intevalvar callback

◆ SCIP_DECL_EXPRESTIMATE

#define SCIP_DECL_EXPRESTIMATE ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip,         \
   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)

expression under/overestimation callback

The method tries to compute a linear under- or overestimator that is as tight as possible at a given point. The estimator must be valid w.r.t. the bounds given by localbounds. If the value of the estimator in the reference point is smaller (larger) than targetvalue when underestimating (overestimating), then no estimator needs to be computed. Note, that targetvalue can be infinite if any estimator will be accepted. If successful, it shall store the coefficient of the i-th child in entry coefs[i] and the constant part in constant. If the estimator is also valid w.r.t. the bounds given by globalbounds, then *islocal shall be set to FALSE. The callback shall indicate in branchcand[i] whether branching on the i-th child would improve the estimator. It can be assumed that branchcand[i] has been initialized to TRUE for all children.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression
[in]	localbounds	current bounds for children
[in]	globalbounds	global bounds for children
[in]	refpoint	values for children in the reference point where to estimate
[in]	overestimate	whether the expression needs to be over- or underestimated
[in]	targetvalue	a value that the estimator shall exceed, can be +/-infinity
[out]	coefs	array to store coefficients of estimator
[out]	constant	buffer to store constant part of estimator
[out]	islocal	buffer to store whether estimator is valid locally only
[out]	success	buffer to indicate whether an estimator could be computed
[out]	branchcand	array to indicate which children to consider for branching

◆ SCIP_DECL_EXPRINITESTIMATES

#define SCIP_DECL_EXPRINITESTIMATES ( x )

Value:

SCIP_RETCODE x ( \
   SCIP*          scip,                                 \
   SCIP_EXPR*     expr,                                 \
   SCIP_INTERVAL* bounds,                               \
   SCIP_Bool      overestimate,                         \
   SCIP_Real*     coefs[SCIP_EXPR_MAXINITESTIMATES],    \
   SCIP_Real      constant[SCIP_EXPR_MAXINITESTIMATES], \
   int*           nreturned)

expression initial under/overestimation callback

The method tries to compute a few linear under- or overestimator that approximate the behavior of the expression. The estimator must be valid w.r.t. the bounds given by bounds. These estimators may be used to initialize a linear relaxation. The callback shall return the number of computed estimators in nreturned, store the coefficient of the i-th child for the j-th estimator in entry coefs[j][i], and store the constant part for the j-th estimator in constant[j].

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression
[in]	bounds	bounds for children
[in]	overestimate	whether the expression shall be overestimated or underestimated
[out]	coefs	buffer to store coefficients of computed estimators
[out]	constant	buffer to store constant of computed estimators
[out]	nreturned	buffer to store number of estimators that have been computed

◆ SCIP_DECL_EXPRSIMPLIFY

#define SCIP_DECL_EXPRSIMPLIFY ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip,                        \
   SCIP_EXPR*     expr,                        \
   SCIP_EXPR**    simplifiedexpr,              \
   SCIP_DECL_EXPR_OWNERCREATE((*ownercreate)), \
   void*          ownercreatedata)

expression simplify callback

The method shall try to simplify an expression by applying algebraic transformations and return the simplified expression. It can assume that children have been simplified. If no simplification is possible, then shall set *simplifiedexpr to expr and capture *simplifiedexpr.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression to simplify
[in]	ownercreate	function to call to create ownerdata
[in]	ownercreatedata	data to pass to ownercreate
[out]	simplifiedexpr	buffer to store the simplified expression

See also EXPRSIMPLIFY and SCIPsimplifyExpr().

Definition at line 629 of file type_expr.h.

◆ SCIP_DECL_EXPRREVERSEPROP

#define SCIP_DECL_EXPRREVERSEPROP ( x )

Value:

SCIP_RETCODE x (\
   SCIP*          scip,           \
   SCIP_EXPR*     expr,           \
   SCIP_INTERVAL  bounds,         \
   SCIP_INTERVAL* childrenbounds, \
   SCIP_Bool*     infeasible)

expression callback for reverse propagation

The method propagates given bounds over the children of an expression. Shall compute an interval overestimate on

\[ \{ x_i : \text{expr}(c_1,\ldots,c_{i-1},x_i,c_{i+1},\ldots,c_n) \in \text{bounds} \} \]

for each child i and store it in childrenbounds[i]. The initial intervals \(c_i, i=1,\ldots,n,\) are given by childrenbounds, too.

Parameters

[in]	scip	SCIP main data structure
[in]	expr	expression
[in]	bounds	the bounds on the expression that should be propagated
[in,out]	childrenbounds	array to store computed bounds for children, initialized with current activity
[out]	infeasible	buffer to store whether a children bounds were propagated to an empty interval

◆ SCIP_EXPRITER_MAXNACTIVE

#define SCIP_EXPRITER_MAXNACTIVE 5

maximal number of iterators that can be active on an expression graph concurrently

How often an expression graph iteration can be started within an active iteration, plus one.

Definition at line 673 of file type_expr.h.

Referenced by doBfsNext(), SCIPexpriterGetNext(), and SCIPexpriterInit().

◆ SCIP_EXPRITER_ENTEREXPR

#define SCIP_EXPRITER_ENTEREXPR 1u

an expression is visited the first time (before any of its children are visited)

Definition at line 676 of file type_expr.h.

Referenced by bilinearTermsInsertAll(), computeSymmetryGroup(), detectMinors(), doDfsNext(), fillGraphByNonlinearConss(), presolveSingleLockedVars(), printExpr(), propagateLocks(), SCIP_DECL_EXPRPRINT(), SCIPexprCopy(), SCIPexprDismantle(), SCIPexprhdlrPrintExpr(), SCIPexpriterInit(), SCIPexpriterRestartDFS(), SCIPexpriterSkipDFS(), and SCIPexprPrintDot().

◆ SCIP_EXPRITER_VISITINGCHILD

#define SCIP_EXPRITER_VISITINGCHILD 2u

a child of an expression is to be visited

Definition at line 677 of file type_expr.h.

Referenced by collectLeafs(), constructExpr(), createNlhdlrExprData(), doDfsNext(), forwardPropExpr(), presolveBinaryProducts(), printExpr(), propagateLocks(), SCIP_DECL_CONSACTIVE(), SCIP_DECL_EXPRPRINT(), SCIPexprDismantle(), SCIPexprEval(), SCIPexprEvalActivity(), SCIPexprEvalGradient(), SCIPexprEvalHessianDir(), SCIPexprhdlrPrintExpr(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetChildUserDataDFS(), SCIPexpriterSetChildUserData(), SCIPexpriterSkipDFS(), SCIPexprPrint(), SCIPexprPrintDot(), SCIPexprRelease(), and SCIPreplaceCommonSubexpressions().

◆ SCIP_EXPRITER_VISITEDCHILD

#define SCIP_EXPRITER_VISITEDCHILD 4u

a child of an expression has been visited

Definition at line 678 of file type_expr.h.

Referenced by doDfsNext(), printExpr(), SCIP_DECL_EXPRPRINT(), SCIPexprCopy(), SCIPexprhdlrPrintExpr(), SCIPexpriterGetChildExprDFS(), SCIPexpriterGetChildIdxDFS(), SCIPexpriterGetChildUserDataDFS(), SCIPexpriterSetChildUserData(), SCIPexpriterSkipDFS(), SCIPexprPrint(), SCIPexprPrintDot(), SCIPexprRelease(), and SCIPexprSimplify().

◆ SCIP_EXPRITER_LEAVEEXPR

#define SCIP_EXPRITER_LEAVEEXPR 8u

an expression is to be left (all of its children have been processed)

Definition at line 679 of file type_expr.h.

Referenced by addTightEstimatorCuts(), deinitSolve(), doDfsNext(), evalAndDiff(), fillGraphByNonlinearConss(), forwardPropExpr(), hashExpr(), printExpr(), propagateLocks(), SCIP_DECL_EXPRPRINT(), SCIPcomputeExprCurvature(), SCIPcomputeExprIntegrality(), SCIPexprDismantle(), SCIPexprEval(), SCIPexprEvalActivity(), SCIPexprhdlrPrintExpr(), SCIPexpriterSkipDFS(), SCIPexprPrintDot(), SCIPexprSimplify(), SCIPhashExpr(), and SCIPreplaceCommonSubexpressions().

◆ SCIP_EXPRITER_ALLSTAGES

#define SCIP_EXPRITER_ALLSTAGES (SCIP_EXPRITER_ENTEREXPR | SCIP_EXPRITER_VISITINGCHILD | SCIP_EXPRITER_VISITEDCHILD | SCIP_EXPRITER_LEAVEEXPR)

Definition at line 680 of file type_expr.h.

Referenced by printExpr(), and SCIPexprPrint().

◆ SCIP_EXPRPRINT_EXPRSTRING

#define SCIP_EXPRPRINT_EXPRSTRING 0x1u

print the math. function that the expression represents (e.g., "c0+c1")

Definition at line 712 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_EXPRHDLR

#define SCIP_EXPRPRINT_EXPRHDLR 0x2u

print expression handler name

Definition at line 713 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_NUSES

#define SCIP_EXPRPRINT_NUSES 0x4u

print number of uses (reference counting)

Definition at line 714 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_EVALVALUE

#define SCIP_EXPRPRINT_EVALVALUE 0x8u

print evaluation value

Definition at line 715 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_EVALTAG

#define SCIP_EXPRPRINT_EVALTAG 0x18u

print evaluation value and tag

Definition at line 716 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_ACTIVITY

#define SCIP_EXPRPRINT_ACTIVITY 0x20u

print activity value

Definition at line 717 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_ACTIVITYTAG

#define SCIP_EXPRPRINT_ACTIVITYTAG 0x60u

print activity value and corresponding tag

Definition at line 718 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_OWNER

#define SCIP_EXPRPRINT_OWNER 0x80u

print ownerdata

Definition at line 719 of file type_expr.h.

Referenced by SCIPexprPrintDot().

◆ SCIP_EXPRPRINT_ALL

print everything

Definition at line 722 of file type_expr.h.

Referenced by SCIPshowExpr().

Typedef Documentation

◆ SCIP_EXPRDATA

typedef struct SCIP_ExprData SCIP_EXPRDATA

expression data, e.g., coefficients

Definition at line 53 of file type_expr.h.

◆ SCIP_EXPR

typedef struct SCIP_Expr SCIP_EXPR

expression

Definition at line 54 of file type_expr.h.

◆ SCIP_EXPR_OWNERDATA

typedef struct SCIP_Expr_OwnerData SCIP_EXPR_OWNERDATA

data stored by expression owner (e.g., conshdlr, nlp) in expression

Definition at line 77 of file type_expr.h.

◆ SCIP_EXPRHDLR

typedef struct SCIP_Exprhdlr SCIP_EXPRHDLR

expression handler

Definition at line 191 of file type_expr.h.

◆ SCIP_EXPRHDLRDATA

typedef struct SCIP_ExprhdlrData SCIP_EXPRHDLRDATA

expression handler data, e.g., SCIP parameter values

Definition at line 192 of file type_expr.h.

◆ SCIP_EXPRITER_STAGE

typedef unsigned int SCIP_EXPRITER_STAGE

stage of DFS iterator

Definition at line 683 of file type_expr.h.

◆ SCIP_EXPRITERDATA

typedef struct SCIP_ExprIterData SCIP_EXPRITERDATA

expression iterator data of a specific expression

Definition at line 703 of file type_expr.h.

◆ SCIP_EXPRITER

typedef struct SCIP_ExprIter SCIP_EXPRITER

expression iterator

Definition at line 704 of file type_expr.h.

◆ SCIP_EXPRPRINT_WHAT

typedef unsigned int SCIP_EXPRPRINT_WHAT

exprprint bitflags

Definition at line 724 of file type_expr.h.

◆ SCIP_EXPRPRINTDATA

typedef struct SCIP_ExprPrintData SCIP_EXPRPRINTDATA

data when printing an expression

Definition at line 725 of file type_expr.h.

Enumeration Type Documentation

◆ SCIP_EXPRCURV

enum SCIP_EXPRCURV

curvature types

Enumerator
SCIP_EXPRCURV_UNKNOWN	unknown or indefinite curvature
SCIP_EXPRCURV_CONVEX	convex
SCIP_EXPRCURV_CONCAVE	concave
SCIP_EXPRCURV_LINEAR	linear = convex and concave

Definition at line 57 of file type_expr.h.

◆ SCIP_MONOTONE

enum SCIP_MONOTONE

monotonicity

Enumerator
SCIP_MONOTONE_UNKNOWN	unknown or non-monotone
SCIP_MONOTONE_INC	increasing
SCIP_MONOTONE_DEC	decreasing
SCIP_MONOTONE_CONST	constant = increasing and decreasing

Definition at line 66 of file type_expr.h.

◆ SCIP_EXPRITER_TYPE

enum SCIP_EXPRITER_TYPE

mode for expression iterator

Enumerator
SCIP_EXPRITER_RTOPOLOGIC	reverse topological order
SCIP_EXPRITER_BFS	breadth-first search
SCIP_EXPRITER_DFS	depth-first search

Definition at line 696 of file type_expr.h.

SCIP

Detailed Description

Data Structures

Macros

Typedefs

Enumerations

Expression Owner

Expression Handler

Expression iterator

Expression printing

Macro Definition Documentation

◆ SCIP_DECL_EXPR_OWNERFREE

◆ SCIP_DECL_EXPR_OWNERPRINT

◆ SCIP_DECL_EXPR_OWNEREVALACTIVITY

◆ SCIP_DECL_EXPR_OWNERCREATE

◆ SCIP_DECL_EXPR_INTEVALVAR

◆ SCIP_DECL_EXPR_MAPEXPR

◆ SCIP_EXPR_MAXINITESTIMATES

◆ SCIP_DECL_EXPRCOPYHDLR

◆ SCIP_DECL_EXPRFREEHDLR

◆ SCIP_DECL_EXPRCOPYDATA

◆ SCIP_DECL_EXPRFREEDATA

◆ SCIP_DECL_EXPRPRINT

◆ SCIP_DECL_EXPRPARSE

◆ SCIP_DECL_EXPRCURVATURE

◆ SCIP_DECL_EXPRMONOTONICITY

◆ SCIP_DECL_EXPRINTEGRALITY

◆ SCIP_DECL_EXPRHASH

◆ SCIP_DECL_EXPRCOMPARE

◆ SCIP_DECL_EXPREVAL

◆ SCIP_DECL_EXPRBWDIFF

◆ SCIP_DECL_EXPRFWDIFF

◆ SCIP_DECL_EXPRBWFWDIFF

◆ SCIP_DECL_EXPRINTEVAL

◆ SCIP_DECL_EXPRESTIMATE

◆ SCIP_DECL_EXPRINITESTIMATES

◆ SCIP_DECL_EXPRSIMPLIFY

◆ SCIP_DECL_EXPRREVERSEPROP

◆ SCIP_EXPRITER_MAXNACTIVE

◆ SCIP_EXPRITER_ENTEREXPR

◆ SCIP_EXPRITER_VISITINGCHILD

◆ SCIP_EXPRITER_VISITEDCHILD

◆ SCIP_EXPRITER_LEAVEEXPR

◆ SCIP_EXPRITER_ALLSTAGES

◆ SCIP_EXPRPRINT_EXPRSTRING

◆ SCIP_EXPRPRINT_EXPRHDLR

◆ SCIP_EXPRPRINT_NUSES

◆ SCIP_EXPRPRINT_EVALVALUE

◆ SCIP_EXPRPRINT_EVALTAG

◆ SCIP_EXPRPRINT_ACTIVITY

◆ SCIP_EXPRPRINT_ACTIVITYTAG

◆ SCIP_EXPRPRINT_OWNER

◆ SCIP_EXPRPRINT_ALL

Typedef Documentation

◆ SCIP_EXPRDATA

◆ SCIP_EXPR

◆ SCIP_EXPR_OWNERDATA

◆ SCIP_EXPRHDLR

◆ SCIP_EXPRHDLRDATA

◆ SCIP_EXPRITER_STAGE

◆ SCIP_EXPRITERDATA

◆ SCIP_EXPRITER

◆ SCIP_EXPRPRINT_WHAT

◆ SCIP_EXPRPRINTDATA

Enumeration Type Documentation

◆ SCIP_EXPRCURV

◆ SCIP_MONOTONE

◆ SCIP_EXPRITER_TYPE