Package it.unive.lisa.analysis.numeric

Class Sign

java.lang.Object

it.unive.lisa.analysis.numeric.Sign

All Implemented Interfaces:

it.unive.lisa.analysis.BaseLattice<Sign>, it.unive.lisa.analysis.Lattice<Sign>, it.unive.lisa.analysis.nonrelational.NonRelationalDomain<Sign,it.unive.lisa.symbolic.value.ValueExpression,it.unive.lisa.analysis.nonrelational.value.ValueEnvironment<Sign>>, it.unive.lisa.analysis.nonrelational.NonRelationalElement<Sign,it.unive.lisa.symbolic.value.ValueExpression,it.unive.lisa.analysis.nonrelational.value.ValueEnvironment<Sign>>, it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>, it.unive.lisa.analysis.nonrelational.value.NonRelationalValueDomain<Sign>, it.unive.lisa.analysis.SemanticEvaluator

public class Sign
extends java.lang.Object
implements it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

The basic overflow-insensitive Sign abstract domain, tracking zero, strictly positive and strictly negative integer values, implemented as a BaseNonRelationalValueDomain, handling top and bottom values for the expression evaluation and bottom values for the expression satisfiability. Top and bottom cases for least upper bounds, widening and less or equals operations are handled by BaseLattice in BaseLattice.lub(L), BaseLattice.widening(L) and BaseLattice.lessOrEqual(L) methods, respectively.

Nested Class Summary

Nested classes/interfaces inherited from interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain

it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain.EvaluationVisitor<T extends it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<T>>

Field Summary

Fields

Modifier and Type	Field	Description
static Sign	BOTTOM	The abstract bottom element.
static Sign	NEG	The abstract negative element.
static Sign	POS	The abstract positive element.
static Sign	TOP	The abstract top element.
static Sign	ZERO	The abstract zero element.

Fields inherited from interface it.unive.lisa.analysis.Lattice

BOTTOM_STRING, TOP_STRING

Constructor Summary

Constructors

Constructor	Description
Sign()	Builds the sign abstract domain, representing the top of the sign abstract domain.
Sign(byte sign)	Builds the sign instance for the given sign value.

Method Summary

Modifier and Type	Method	Description
it.unive.lisa.analysis.nonrelational.value.ValueEnvironment<Sign>	assumeBinaryExpression(it.unive.lisa.analysis.nonrelational.value.ValueEnvironment<Sign> environment, it.unive.lisa.symbolic.value.operator.binary.BinaryOperator operator, it.unive.lisa.symbolic.value.ValueExpression left, it.unive.lisa.symbolic.value.ValueExpression right, it.unive.lisa.program.cfg.ProgramPoint src, it.unive.lisa.program.cfg.ProgramPoint dest)
Sign	bottom()
it.unive.lisa.analysis.SemanticDomain.Satisfiability	eq(Sign other)	Tests if this instance is equal to the given one, returning a SemanticDomain.Satisfiability element.
boolean	equals(java.lang.Object obj)
Sign	evalBinaryExpression(it.unive.lisa.symbolic.value.operator.binary.BinaryOperator operator, Sign left, Sign right, it.unive.lisa.program.cfg.ProgramPoint pp)
Sign	evalNonNullConstant(it.unive.lisa.symbolic.value.Constant constant, it.unive.lisa.program.cfg.ProgramPoint pp)
Sign	evalNullConstant(it.unive.lisa.program.cfg.ProgramPoint pp)
Sign	evalUnaryExpression(it.unive.lisa.symbolic.value.operator.unary.UnaryOperator operator, Sign arg, it.unive.lisa.program.cfg.ProgramPoint pp)
it.unive.lisa.analysis.SemanticDomain.Satisfiability	gt(Sign other)	Tests if this instance is greater than the given one, returning a SemanticDomain.Satisfiability element.
int	hashCode()
boolean	isNegative()	Yields whether or not this is the negative sign.
boolean	isPositive()	Yields whether or not this is the positive sign.
boolean	isZero()	Yields whether or not this is the zero sign.
boolean	lessOrEqualAux(Sign other)
Sign	lubAux(Sign other)
Sign	opposite()	Yields the sign opposite to this one.
it.unive.lisa.analysis.representation.DomainRepresentation	representation()
it.unive.lisa.analysis.SemanticDomain.Satisfiability	satisfiesBinaryExpression(it.unive.lisa.symbolic.value.operator.binary.BinaryOperator operator, Sign left, Sign right, it.unive.lisa.program.cfg.ProgramPoint pp)
it.unive.lisa.analysis.SemanticDomain.Satisfiability	satisfiesTernaryExpression(it.unive.lisa.symbolic.value.operator.ternary.TernaryOperator operator, Sign left, Sign middle, Sign right, it.unive.lisa.program.cfg.ProgramPoint pp)
Sign	top()

Methods inherited from class java.lang.Object

clone, finalize, getClass, notify, notifyAll, toString, wait, wait, wait

Methods inherited from interface it.unive.lisa.analysis.BaseLattice

glb, glbAux, lessOrEqual, lub, narrowing, narrowingAux, toString, widening, wideningAux

Methods inherited from interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain

assume, assumeTernaryExpression, assumeUnaryExpression, canProcess, eval, evalIdentifier, evalPushAny, evalSkip, evalTernaryExpression, evalTypeCast, evalTypeConv, satisfies, satisfiesAbstractValue, satisfiesNonNullConstant, satisfiesNullConstant, satisfiesUnaryExpression, tracksIdentifiers

Methods inherited from interface it.unive.lisa.analysis.Lattice

isBottom, isTop

Methods inherited from interface it.unive.lisa.analysis.nonrelational.NonRelationalElement

variable

Field Detail

POS

public static final Sign POS

The abstract positive element.

NEG

public static final Sign NEG

The abstract negative element.

ZERO

public static final Sign ZERO

The abstract zero element.

TOP

public static final Sign TOP

The abstract top element.

BOTTOM

public static final Sign BOTTOM

The abstract bottom element.

Constructor Detail

Sign

public Sign()

Builds the sign abstract domain, representing the top of the sign abstract domain.

Sign

public Sign(byte sign)

Builds the sign instance for the given sign value.

Parameters:

sign - the sign (0 = top, 1 = bottom, 2 = zero, 3 = negative, 4 = positive)

Method Detail

top

public Sign top()

Specified by:

top in interface it.unive.lisa.analysis.Lattice<Sign>

bottom

public Sign bottom()

Specified by:

bottom in interface it.unive.lisa.analysis.Lattice<Sign>

representation

public it.unive.lisa.analysis.representation.DomainRepresentation representation()

Specified by:

representation in interface it.unive.lisa.analysis.nonrelational.NonRelationalElement<Sign,it.unive.lisa.symbolic.value.ValueExpression,it.unive.lisa.analysis.nonrelational.value.ValueEnvironment<Sign>>

evalNullConstant

public Sign evalNullConstant(it.unive.lisa.program.cfg.ProgramPoint pp)

Specified by:

evalNullConstant in interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

evalNonNullConstant

public Sign evalNonNullConstant(it.unive.lisa.symbolic.value.Constant constant,
                                it.unive.lisa.program.cfg.ProgramPoint pp)

Specified by:

evalNonNullConstant in interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

isPositive

public boolean isPositive()

Yields whether or not this is the positive sign.

Returns:

true if that condition holds

isZero

public boolean isZero()

Yields whether or not this is the zero sign.

Returns:

true if that condition holds

isNegative

public boolean isNegative()

Yields whether or not this is the negative sign.

Returns:

true if that condition holds

opposite

public Sign opposite()

Yields the sign opposite to this one. Top and bottom elements do not change.

Returns:

the opposite sign

evalUnaryExpression

public Sign evalUnaryExpression(it.unive.lisa.symbolic.value.operator.unary.UnaryOperator operator,
                                Sign arg,
                                it.unive.lisa.program.cfg.ProgramPoint pp)

Specified by:

evalUnaryExpression in interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

evalBinaryExpression

public Sign evalBinaryExpression(it.unive.lisa.symbolic.value.operator.binary.BinaryOperator operator,
                                 Sign left,
                                 Sign right,
                                 it.unive.lisa.program.cfg.ProgramPoint pp)

Specified by:

evalBinaryExpression in interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

lubAux

public Sign lubAux(Sign other)
            throws it.unive.lisa.analysis.SemanticException

Specified by:

lubAux in interface it.unive.lisa.analysis.BaseLattice<Sign>

Throws:

it.unive.lisa.analysis.SemanticException

lessOrEqualAux

public boolean lessOrEqualAux(Sign other)
                       throws it.unive.lisa.analysis.SemanticException

Specified by:

lessOrEqualAux in interface it.unive.lisa.analysis.BaseLattice<Sign>

Throws:

it.unive.lisa.analysis.SemanticException

hashCode

public int hashCode()

Specified by:

hashCode in interface it.unive.lisa.analysis.BaseLattice<Sign>

Overrides:

hashCode in class java.lang.Object

equals

public boolean equals(java.lang.Object obj)

Specified by:

equals in interface it.unive.lisa.analysis.BaseLattice<Sign>

Overrides:

equals in class java.lang.Object

satisfiesBinaryExpression

public it.unive.lisa.analysis.SemanticDomain.Satisfiability satisfiesBinaryExpression(it.unive.lisa.symbolic.value.operator.binary.BinaryOperator operator,
                                                                                      Sign left,
                                                                                      Sign right,
                                                                                      it.unive.lisa.program.cfg.ProgramPoint pp)

Specified by:

satisfiesBinaryExpression in interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

eq

public it.unive.lisa.analysis.SemanticDomain.Satisfiability eq(Sign other)

Tests if this instance is equal to the given one, returning a SemanticDomain.Satisfiability element.

Parameters:

other - the instance

Returns:

the satisfiability of this = other

gt

public it.unive.lisa.analysis.SemanticDomain.Satisfiability gt(Sign other)

Tests if this instance is greater than the given one, returning a SemanticDomain.Satisfiability element.

Parameters:

other - the instance

Returns:

the satisfiability of this > other

satisfiesTernaryExpression

public it.unive.lisa.analysis.SemanticDomain.Satisfiability satisfiesTernaryExpression(it.unive.lisa.symbolic.value.operator.ternary.TernaryOperator operator,
                                                                                       Sign left,
                                                                                       Sign middle,
                                                                                       Sign right,
                                                                                       it.unive.lisa.program.cfg.ProgramPoint pp)

Specified by:

satisfiesTernaryExpression in interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

assumeBinaryExpression

public it.unive.lisa.analysis.nonrelational.value.ValueEnvironment<Sign> assumeBinaryExpression(it.unive.lisa.analysis.nonrelational.value.ValueEnvironment<Sign> environment,
                                                                                                it.unive.lisa.symbolic.value.operator.binary.BinaryOperator operator,
                                                                                                it.unive.lisa.symbolic.value.ValueExpression left,
                                                                                                it.unive.lisa.symbolic.value.ValueExpression right,
                                                                                                it.unive.lisa.program.cfg.ProgramPoint src,
                                                                                                it.unive.lisa.program.cfg.ProgramPoint dest)
                                                                                         throws it.unive.lisa.analysis.SemanticException

Specified by:

assumeBinaryExpression in interface it.unive.lisa.analysis.nonrelational.value.BaseNonRelationalValueDomain<Sign>

Throws:

it.unive.lisa.analysis.SemanticException