public bool TryPartitionAt(APC pc, out SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> result)
{
if (this.fixpointInfo.PreState(pc, out result))
{
return(true);
}
result = default(SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression>);
return(false);
}
public bool LookupState(IMethodResult <Variable> mr, APC pc, out SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> astate)
{
astate = null;
PartitionAnalysis an = mr as PartitionAnalysis;
if (an == null)
{
return(false);
}
return(an.PreStateLookup(pc, out astate));
}
public bool AssignInParallel(IMethodResult <Variable> mr, ref SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> astate, Dictionary <BoxedVariable <Variable>, FList <BoxedVariable <Variable> > > mapping, Converter <BoxedVariable <Variable>, BoxedExpression> convert)
{
PartitionAnalysis an = mr as PartitionAnalysis;
if (an == null)
{
return(false);
}
astate.AssignInParallel(mapping, convert);
return(true);
}
public List <BoxedExpression> ExtractAssertions(
IMethodResult <Variable> mr,
SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> astate,
IExpressionContext <APC, Local, Parameter, Method, Field, Type, ExternalExpression, Variable> context,
IDecodeMetaData <Local, Parameter, Method, Field, Property, Type, Attribute, Assembly> metaDataDecoder)
{
PartitionAnalysis an = mr as PartitionAnalysis;
if (an == null)
{
return(null);
}
BoxedExpressionReader <APC, Local, Parameter, Method, Field, Property, Type, Variable, ExternalExpression, Attribute, Assembly> br = new BoxedExpressionReader <APC, Local, Parameter, Method, Field, Property, Type, Variable, ExternalExpression, Attribute, Assembly>(context, metaDataDecoder);
return(an.ToListOfBoxedExpressions(astate, br));
}
/// <summary>
///
/// </summary>
private SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> GenericArrayHandling(APC pc, Variable array, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
Variable arrayLengthVar;
if (this.Context.TryGetArrayLength(this.Context.Post(pc), array, out arrayLengthVar))
{
// if a symbolic value is assigned twice, thanks to symbolic values semantics, its equivalent to nop.
// So we keep the partition such as it is.
if (!data.ContainsKey(ToBoxedVariable(array)))
{
return(HandleAllocations(pc, array, arrayLengthVar, data));
}
return(data);
}
Debug.Assert(false, "ArrayLength of an array must be known");
return(data);
}
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Binary(APC pc, BinaryOperator op, Variable dest, Variable s1, Variable s2, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
Log("Binary:{0}", op);
if (OperatorExtensions.IsComparisonBinaryOperator(op))
{
// TODO: if s1 or s2 includes an array term, partitioning must be done.
return(data);
}
else if (OperatorExtensions.IsBooleanBinaryOperator(op))
{
// TODO: see above
return(data);
}
else
{
var destAsExp = ToBoxedExpression(pc, dest);
var leftAsExp = ToBoxedExpressionWithConstantRefinement(pc, s1);
var rightAsExp = ToBoxedExpressionWithConstantRefinement(pc, s2);
ALog.BeginTransferFunction(StringClosure.For("Assign"),
StringClosure.For("{0} := {1}({2}, {3})",
ExpressionPrinter.ToStringClosure(destAsExp, this.Decoder), StringClosure.For(op),
ExpressionPrinter.ToStringClosure(leftAsExp, this.Decoder), ExpressionPrinter.ToStringClosure(rightAsExp, this.Decoder)),
PrettyPrintPC(pc), StringClosure.For(data));
// Hypothesis : if it is a reminder or division operation, we assume that the dividend is not zero
var refinedDomain = data;
BoxedExpression rightOfAssignment;
Log("REPACK:{1} {0} {2}", op, s1, s2);
if (TryRepackAssignment(op, leftAsExp, rightAsExp, out rightOfAssignment))
{
var arraysToRefine = data.arraysWithPartitionDefinedOnASubsetExpressionOf(rightOfAssignment);
if (!arraysToRefine.IsEmpty)
{
var assignmentKnowledge = this.Encoder.CompoundExpressionFor(ExpressionType.Bool, ExpressionOperator.Equal, destAsExp, rightOfAssignment);
var assignmentStrippedKnowledge = this.Encoder.CompoundExpressionFor(ExpressionType.Bool, ExpressionOperator.Equal, destAsExp, RecursiveStripped(rightOfAssignment));
assignmentKnowledge = this.Encoder.CompoundExpressionFor(ExpressionType.Bool, ExpressionOperator.And, assignmentKnowledge, assignmentStrippedKnowledge);
//Log("KNOWLEDGEonREPACK:{0}", rightOfAssignment);
foreach (var array in arraysToRefine)
{
refinedDomain = HandleIndexAssignment("", pc,
array,
ToBoxedVariable(dest),
rightOfAssignment,
assignmentKnowledge, refinedDomain);
}
}
}
//else
//{
// throw new AbstractInterpretationException(); //TODO : leave the else.
//}
ALog.EndTransferFunction(StringClosure.For(refinedDomain));
return(refinedDomain);
}
}
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Unary(APC pc, UnaryOperator op, bool overflow, bool unsigned, Variable dest, Variable source, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
// TODO: case Neg and Not
Log("Unary:{0}", op);
return(data);
}
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Isinst(APC pc, Type type, Variable dest, Variable obj, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
if (isOneDimensionalArray(pc, dest))
{
return(GenericArrayHandling(pc, dest, data));
}
return(data);
}
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Call <TypeList, ArgList>(APC pc, Method method, bool tail, bool virt, TypeList extraVarargs, Variable dest, ArgList args, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
if (isOneDimensionalArray(pc, dest))
{
var fullNameForMethod = this.DecoderForMetaData.FullName(method);
Variable arrayLengthVar;
if (fullNameForMethod.StartsWith("System.Runtime.CompilerServices.RuntimeHelpers.InitializeArray"))
{
if (this.Context.TryGetArrayLength(this.Context.Post(pc), args[0], out arrayLengthVar))
{
var arrayLengthExp = BoxedExpression.For(this.Context.Refine(pc, arrayLengthVar), this.Decoder.Outdecoder);
arrayLengthExp = this.Decoder.Stripped(arrayLengthExp);
int n;
if (arrayLengthExp.IsConstantInt(out n))
{
var refinedDomain = data;
// var arrayAsExp = BoxedExpression.For(this.Context.Refine(pc, args[0]), this.Decoder.Outdecoder);
var array = ToBoxedVariable(args[0]);
var knowledge = this.Encoder.ConstantFor(true);
for (int i = 0; i < n; i++)
{
//refinedDomain = HandleArrayAssignment("InitializeArray", pc, args[0], i, refinedDomain);
refinedDomain = refinedDomain.ArrayAssignment(array, this.Encoder.ConstantFor(i), knowledge, new Set <BoxedVariable <Variable> >());
}
return(refinedDomain);
}
else
{
// TODO: probably nothing
}
}
Debug.Assert(false, "ArrayLength of an array must be known");
}
//if (isArray(pc, dest))
//{
return(GenericArrayHandling(pc, dest, data));
//}
}
return(data);
}
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Ldarg(APC pc, Parameter argument, bool isOld, Variable dest, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
// TODO: what is isOld for ?
if (isOneDimensionalArray(pc, dest))
{
return(GenericArrayHandling(pc, dest, data));
}
return(data);
}
private SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> HandleIndexAssignment(string name, APC pc,
BoxedVariable <Variable> array, BoxedVariable <Variable> index,
BoxedExpression assignedAsExp, BoxedExpression assignmentKnowledge,
SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
ALog.BeginTransferFunction(StringClosure.For("[P]IndexAssignement"),
StringClosure.For(""), PrettyPrintPC(pc), StringClosure.For(data));
//var baseVariables = this.Decoder.VariablesIn(indexAsExp);
var baseVariables = this.Decoder.VariablesIn(assignedAsExp);
Log("VARIABLESIN={0}", baseVariables);
var indexAsExp = ToBoxedExpression(pc, index);
var indexKnowledge = gatherKnowledge(this.Context.Post(pc), indexAsExp); //TODO: post is not useful here
var knowledge = this.Encoder.CompoundExpressionFor(ExpressionType.Bool,
ExpressionOperator.And,
indexKnowledge,
assignmentKnowledge);
// TODO : useless if indexAsExp is based on variables already in the partition (which space is delimited)
//var indexRange = guessRange(pc, indexAsExp);
//Log("LB={0}", indexRange.One);
//Log("UB={0}", indexRange.Two);
IPartitionAbstraction <BoxedVariable <Variable>, BoxedExpression> arrayPartition;
var refinedDomain = data;
if (data.TryGetValue(array, out arrayPartition))
{
var singles = arrayPartition.Singles();
Log("SINGLES={0}", singles);
var b = baseVariables.Remove(index);
foreach (var single in singles)
{
if (!this.Decoder.IsConstant(single))
{
var variablesInSingle = this.Decoder.VariablesIn(single);
if (baseVariables.IsSubset(variablesInSingle))
{
// The general case is very complicated. Here we assume that single has the form of an octagon contraint (+/- y + c)
if (baseVariables.Count == 1)
{
var indexSubstitute = this.Encoder.Substitute(single, ToBoxedExpression(pc, baseVariables.PickAnElement()), indexAsExp);
var notWanted = new Set <BoxedVariable <Variable> >(baseVariables);
if (!indexSubstitute.IsVariable) // HACK due to handling of expression
{
notWanted.Add(this.Decoder.UnderlyingVariable(indexSubstitute));
}
refinedDomain = refinedDomain.ArrayAssignment(array, indexSubstitute, knowledge, notWanted);
}
else // Otherwise we try to partition wrt indexAsExp
{
refinedDomain = refinedDomain.ArrayAssignment(array, indexAsExp, knowledge, baseVariables);
}
}
}
}
}
else
{
throw new AbstractInterpretationException();
}
ALog.EndTransferFunction(StringClosure.For(data));
return(refinedDomain);
}
/// <summary>
/// Hypothesis: Bound Analysis assumed.
/// </summary>
/// <param name="dest"></param>
private SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> HandleArrayAssignment(
string name, APC pc,
Variable array, Variable index,
SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
var arrayAsExp = BoxedExpression.For(this.Context.Refine(pc, array), this.Decoder.Outdecoder);
var indexAsExp = BoxedExpression.For(this.Context.Refine(pc, index), this.Decoder.Outdecoder);
ALog.BeginTransferFunction(StringClosure.For("[P]ArrayAssignement"),
ExpressionPrinter.ToStringClosure(arrayAsExp, this.Decoder), PrettyPrintPC(pc), StringClosure.For(data));
var baseVariables = this.Decoder.VariablesIn(indexAsExp);
Log("VARIABLESIN={0}", baseVariables);
// TODO: decide wich variables you want in the partition : probably here a variable inside. You must gatherKnowledge for each variable inside, and reconstruct the bounds of interest.
// eg. index: sv1; index is (sv2+1); indexKnowledge is (0,sv3); so (sv2+1) go from 1 to sv3+1 (but could be unnecessary if sv2 is already into the partition ...;
var notWanted = new Set <BoxedVariable <Variable> >();
if (baseVariables.Count > 1 || !baseVariables.Contains(ToBoxedVariable(index)))
{
notWanted.Add(ToBoxedVariable(index));
}
var knowledge = this.Encoder.ConstantFor(true);
var equalityKnowledge = this.Encoder.ConstantFor(true);
foreach (var e in baseVariables)
{
knowledge = this.Encoder.CompoundExpressionFor(ExpressionType.Bool,
ExpressionOperator.And,
knowledge,
gatherKnowledge(this.Context.Post(pc), ToBoxedExpression(this.Context.Post(pc), e)));
}
if (!notWanted.IsEmpty)
{
// NOTE : even if notWanted will not be part of the split partition used, it can already be present in the current partition.
// This is why we provide the information, to be used in simplify.
PolynomialOfInt <BoxedVariable <Variable>, BoxedExpression> indexAsPoly;
if (PolynomialOfInt <BoxedVariable <Variable>, BoxedExpression> .TryToPolynomialForm(indexAsExp, this.Decoder, out indexAsPoly))
{
equalityKnowledge = this.Encoder.CompoundExpressionFor(ExpressionType.Bool,
ExpressionOperator.Equal,
indexAsExp,
PolynomialOfInt <BoxedVariable <Variable>, BoxedExpression> .ToPureExpressionForm(indexAsPoly, this.Encoder));
knowledge = this.Encoder.CompoundExpressionFor(ExpressionType.Bool, ExpressionOperator.And, knowledge, equalityKnowledge);
}
}
//var indexKnowledge = gatherKnowledge(pc, indexAsExp);
foreach (var e in baseVariables)
{
var indexRange = guessRange(pc, ToBoxedExpression(pc, e)); // carefull : One or Two can be null.
Log("LB({1})={0}", indexRange.One, e);
Log("UB({1})={0}", indexRange.Two, e);
}
var indexRange2 = guessRange(pc, indexAsExp); // carefull : One or Two can be null.
Log("LB({1})={0}", indexRange2.One, indexAsExp);
Log("UB({1})={0}", indexRange2.Two, indexAsExp);
var refinedDomain = data.ArrayAssignment(ToBoxedVariable(array), indexAsExp, knowledge, notWanted); //,notWanted
ALog.EndTransferFunction(StringClosure.For(data));
return(refinedDomain);
}
/// <summary>
/// Hypothesis: Bound Analysis assumed that <code>0 ≤ len </code> and
/// </summary>
/// <param name="dest"></param>
private SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> HandleAllocations(APC pc, Variable dest, Variable len, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
var lenAsExp = BoxedExpression.For(this.Context.Refine(pc, len), this.Decoder.Outdecoder);
lenAsExp = this.Decoder.Stripped(lenAsExp);
var destAsExp = BoxedExpression.For(this.Context.Refine(pc, dest), this.Decoder.Outdecoder);
ALog.BeginTransferFunction(StringClosure.For("[P]Allocation"),
ExpressionPrinter.ToStringClosure(lenAsExp, this.Decoder), PrettyPrintPC(pc), StringClosure.For(data));
var refinedDomain = data.Allocation(new BoxedVariable <Variable>(dest), lenAsExp);
ALog.EndTransferFunction(StringClosure.For(data));
return(refinedDomain);
}
protected override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> HelperForJoin(SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> newState, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> prevState, Pair <APC, APC> edge)
{
/// - that an array can be null, and in his case not appearing into the environment
var keep = new Set <BoxedVariable <Variable> >();
foreach (var bv in prevState.Variables)
{
Variable v;
if (bv.TryUnpackVariable(out v))
{
var atJoinPoint = this.factQuery.IsNull(edge.Two, v);
var atJoinedPoint = this.factQuery.IsNull(edge.One, v);
if (atJoinPoint == ProofOutcome.Top)
{
//if (atJoinedPoint == ProofOutcome.True)
//{
// // do nothing
//}
//else if (atJoinedPoint == ProofOutcome.False)
{
// for some paths exp is null : we want to keep it in the environment
keep.Add(bv);
}
// TODO: could be also TOP if in every branch a (non-identity) rebinding appeared
}
}
}
var result = newState.Join(prevState, keep);
//return base.HelperForJoin(newState, prevState, edge);
return(result);
}
/// <summary>
/// We allocate a new partition to the array
/// </summary>
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Newarray <ArgList>(APC pc, Type type, Variable dest, ArgList lengths, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
if (lengths.Count == 1)
{
return(HandleAllocations(pc, dest, lengths[0], data));
}
else
{
return(data); // TODO multidimensional array
}
}
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Ldfld(APC pc, Field field, bool @volatile, Variable dest, Variable obj, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
if (isOneDimensionalArray(pc, dest))
{
return(GenericArrayHandling(pc, dest, data));
}
return(data);
}
public override SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Stelem(APC pc, Type type, Variable array, Variable index, Variable value, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> data)
{
if (isOneDimensionalArray(pc, array))
{
bool wasTop = data.IsTop;
Log("STELEM={0}[{1}]", array, index);
var result = HandleArrayAssignment("Stelem", pc, array, index, data);
Debug.Assert(wasTop || !result.IsTop);
return(result);
}
return(data);
}
public SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> Join(IMethodResult <Variable> mr, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> astate1, SimplePartitionAbstractDomain <BoxedVariable <Variable>, BoxedExpression> astate2)
{
PartitionAnalysis an = mr as PartitionAnalysis;
if (an == null)
{
return(null);
}
bool bWeaker;
return(an.Join(new Pair <APC, APC>(), astate1, astate2, out bWeaker, false));
}