//== RangeConstraintManager.cpp - Manage range constraints.------*- C++ -*--==//
//
// The LLVM Compiler Infrastructure
//
// This file is distributed under the University of Illinois Open Source
// License. See LICENSE.TXT for details.
//
//===----------------------------------------------------------------------===//
//
// This file defines RangeConstraintManager, a class that tracks simple
// equality and inequality constraints on symbolic values of ProgramState.
//
//===----------------------------------------------------------------------===//
#include "SimpleConstraintManager.h"
#include "clang/StaticAnalyzer/Core/PathSensitive/APSIntType.h"
#include "clang/StaticAnalyzer/Core/PathSensitive/ProgramState.h"
#include "clang/StaticAnalyzer/Core/PathSensitive/ProgramStateTrait.h"
#include "llvm/ADT/FoldingSet.h"
#include "llvm/ADT/ImmutableSet.h"
#include "llvm/Support/Debug.h"
#include "llvm/Support/raw_ostream.h"
using namespace clang;
using namespace ento;
/// A Range represents the closed range [from, to]. The caller must
/// guarantee that from <= to. Note that Range is immutable, so as not
/// to subvert RangeSet's immutability.
namespace {
class Range : public std::pair<const llvm::APSInt*,
const llvm::APSInt*> {
public:
Range(const llvm::APSInt &from, const llvm::APSInt &to)
: std::pair<const llvm::APSInt*, const llvm::APSInt*>(&from, &to) {
assert(from <= to);
}
bool Includes(const llvm::APSInt &v) const {
return *first <= v && v <= *second;
}
const llvm::APSInt &From() const {
return *first;
}
const llvm::APSInt &To() const {
return *second;
}
const llvm::APSInt *getConcreteValue() const {
return &From() == &To() ? &From() : NULL;
}
void Profile(llvm::FoldingSetNodeID &ID) const {
ID.AddPointer(&From());
ID.AddPointer(&To());
}
};
class RangeTrait : public llvm::ImutContainerInfo<Range> {
public:
// When comparing if one Range is less than another, we should compare
// the actual APSInt values instead of their pointers. This keeps the order
// consistent (instead of comparing by pointer values) and can potentially
// be used to speed up some of the operations in RangeSet.
static inline bool isLess(key_type_ref lhs, key_type_ref rhs) {
return *lhs.first < *rhs.first || (!(*rhs.first < *lhs.first) &&
*lhs.second < *rhs.second);
}
};
/// RangeSet contains a set of ranges. If the set is empty, then
/// there the value of a symbol is overly constrained and there are no
/// possible values for that symbol.
class RangeSet {
typedef llvm::ImmutableSet<Range, RangeTrait> PrimRangeSet;
PrimRangeSet ranges; // no need to make const, since it is an
// ImmutableSet - this allows default operator=
// to work.
public:
typedef PrimRangeSet::Factory Factory;
typedef PrimRangeSet::iterator iterator;
RangeSet(PrimRangeSet RS) : ranges(RS) {}
iterator begin() const { return ranges.begin(); }
iterator end() const { return ranges.end(); }
bool isEmpty() const { return ranges.isEmpty(); }
/// Construct a new RangeSet representing '{ [from, to] }'.
RangeSet(Factory &F, const llvm::APSInt &from, const llvm::APSInt &to)
: ranges(F.add(F.getEmptySet(), Range(from, to))) {}
/// Profile - Generates a hash profile of this RangeSet for use
/// by FoldingSet.
void Profile(llvm::FoldingSetNodeID &ID) const { ranges.Profile(ID); }
/// getConcreteValue - If a symbol is contrained to equal a specific integer
/// constant then this method returns that value. Otherwise, it returns
/// NULL.
const llvm::APSInt* getConcreteValue() const {
return ranges.isSingleton() ? ranges.begin()->getConcreteValue() : 0;
}
private:
void IntersectInRange(BasicValueFactory &BV, Factory &F,
const llvm::APSInt &Lower,
const llvm::APSInt &Upper,
PrimRangeSet &newRanges,
PrimRangeSet::iterator &i,
PrimRangeSet::iterator &e) const {
// There are six cases for each range R in the set:
// 1. R is entirely before the intersection range.
// 2. R is entirely after the intersection range.
// 3. R contains the entire intersection range.
// 4. R starts before the intersection range and ends in the middle.
// 5. R starts in the middle of the intersection range and ends after it.
// 6. R is entirely contained in the intersection range.
// These correspond to each of the conditions below.
for (/* i = begin(), e = end() */; i != e; ++i) {
if (i->To() < Lower) {
continue;
}
if (i->From() > Upper) {
break;
}
if (i->Includes(Lower)) {
if (i->Includes(Upper)) {
newRanges = F.add(newRanges, Range(BV.getValue(Lower),
BV.getValue(Upper)));
break;
} else
newRanges = F.add(newRanges, Range(BV.getValue(Lower), i->To()));
} else {
if (i->Includes(Upper)) {
newRanges = F.add(newRanges, Range(i->From(), BV.getValue(Upper)));
break;
} else
newRanges = F.add(newRanges, *i);
}
}
}
const llvm::APSInt &getMinValue() const {
assert(!isEmpty());
return ranges.begin()->From();
}
bool pin(llvm::APSInt &Lower, llvm::APSInt &Upper) const {
// This function has nine cases, the cartesian product of range-testing
// both the upper and lower bounds against the symbol's type.
// Each case requires a different pinning operation.
// The function returns false if the described range is entirely outside
// the range of values for the associated symbol.
APSIntType Type(getMinValue());
APSIntType::RangeTestResultKind LowerTest = Type.testInRange(Lower, true);
APSIntType::RangeTestResultKind UpperTest = Type.testInRange(Upper, true);
switch (LowerTest) {
case APSIntType::RTR_Below:
switch (UpperTest) {
case APSIntType::RTR_Below:
// The entire range is outside the symbol's set of possible values.
// If this is a conventionally-ordered range, the state is infeasible.
if (Lower < Upper)
return false;
// However, if the range wraps around, it spans all possible values.
Lower = Type.getMinValue();
Upper = Type.getMaxValue();
break;
case APSIntType::RTR_Within:
// The range starts below what's possible but ends within it. Pin.
Lower = Type.getMinValue();
Type.apply(Upper);
break;
case APSIntType::RTR_Above:
// The range spans all possible values for the symbol. Pin.
Lower = Type.getMinValue();
Upper = Type.getMaxValue();
break;
}
break;
case APSIntType::RTR_Within:
switch (UpperTest) {
case APSIntType::RTR_Below:
// The range wraps around, but all lower values are not possible.
Type.apply(Lower);
Upper = Type.getMaxValue();
break;
case APSIntType::RTR_Within:
// The range may or may not wrap around, but both limits are valid.
Type.apply(Lower);
Type.apply(Upper);
break;
case APSIntType::RTR_Above:
// The range starts within what's possible but ends above it. Pin.
Type.apply(Lower);
Upper = Type.getMaxValue();
break;
}
break;
case APSIntType::RTR_Above:
switch (UpperTest) {
case APSIntType::RTR_Below:
// The range wraps but is outside the symbol's set of possible values.
return false;
case APSIntType::RTR_Within:
// The range starts above what's possible but ends within it (wrap).
Lower = Type.getMinValue();
Type.apply(Upper);
break;
case APSIntType::RTR_Above:
// The entire range is outside the symbol's set of possible values.
// If this is a conventionally-ordered range, the state is infeasible.
if (Lower < Upper)
return false;
// However, if the range wraps around, it spans all possible values.
Lower = Type.getMinValue();
Upper = Type.getMaxValue();
break;
}
break;
}
return true;
}
public:
// Returns a set containing the values in the receiving set, intersected with
// the closed range [Lower, Upper]. Unlike the Range type, this range uses
// modular arithmetic, corresponding to the common treatment of C integer
// overflow. Thus, if the Lower bound is greater than the Upper bound, the
// range is taken to wrap around. This is equivalent to taking the
// intersection with the two ranges [Min, Upper] and [Lower, Max],
// or, alternatively, /removing/ all integers between Upper and Lower.
RangeSet Intersect(BasicValueFactory &BV, Factory &F,
llvm::APSInt Lower, llvm::APSInt Upper) const {
if (!pin(Lower, Upper))
return F.getEmptySet();
PrimRangeSet newRanges = F.getEmptySet();
PrimRangeSet::iterator i = begin(), e = end();
if (Lower <= Upper)
IntersectInRange(BV, F, Lower, Upper, newRanges, i, e);
else {
// The order of the next two statements is important!
// IntersectInRange() does not reset the iteration state for i and e.
// Therefore, the lower range most be handled first.
IntersectInRange(BV, F, BV.getMinValue(Upper), Upper, newRanges, i, e);
IntersectInRange(BV, F, Lower, BV.getMaxValue(Lower), newRanges, i, e);
}
return newRanges;
}
void print(raw_ostream &os) const {
bool isFirst = true;
os << "{ ";
for (iterator i = begin(), e = end(); i != e; ++i) {
if (isFirst)
isFirst = false;
else
os << ", ";
os << '[' << i->From().toString(10) << ", " << i->To().toString(10)
<< ']';
}
os << " }";
}
bool operator==(const RangeSet &other) const {
return ranges == other.ranges;
}
};
} // end anonymous namespace
REGISTER_TRAIT_WITH_PROGRAMSTATE(ConstraintRange,
CLANG_ENTO_PROGRAMSTATE_MAP(SymbolRef,
RangeSet))
namespace {
class RangeConstraintManager : public SimpleConstraintManager{
RangeSet GetRange(ProgramStateRef state, SymbolRef sym);
public:
RangeConstraintManager(SubEngine *subengine, SValBuilder &SVB)
: SimpleConstraintManager(subengine, SVB) {}
ProgramStateRef assumeSymNE(ProgramStateRef state, SymbolRef sym,
const llvm::APSInt& Int,
const llvm::APSInt& Adjustment);
ProgramStateRef assumeSymEQ(ProgramStateRef state, SymbolRef sym,
const llvm::APSInt& Int,
const llvm::APSInt& Adjustment);
ProgramStateRef assumeSymLT(ProgramStateRef state, SymbolRef sym,
const llvm::APSInt& Int,
const llvm::APSInt& Adjustment);
ProgramStateRef assumeSymGT(ProgramStateRef state, SymbolRef sym,
const llvm::APSInt& Int,
const llvm::APSInt& Adjustment);
ProgramStateRef assumeSymGE(ProgramStateRef state, SymbolRef sym,
const llvm::APSInt& Int,
const llvm::APSInt& Adjustment);
ProgramStateRef assumeSymLE(ProgramStateRef state, SymbolRef sym,
const llvm::APSInt& Int,
const llvm::APSInt& Adjustment);
const llvm::APSInt* getSymVal(ProgramStateRef St, SymbolRef sym) const;
ConditionTruthVal checkNull(ProgramStateRef State, SymbolRef Sym);
ProgramStateRef removeDeadBindings(ProgramStateRef St, SymbolReaper& SymReaper);
void print(ProgramStateRef St, raw_ostream &Out,
const char* nl, const char *sep);
private:
RangeSet::Factory F;
};
} // end anonymous namespace
ConstraintManager *
ento::CreateRangeConstraintManager(ProgramStateManager &StMgr, SubEngine *Eng) {
return new RangeConstraintManager(Eng, StMgr.getSValBuilder());
}
const llvm::APSInt* RangeConstraintManager::getSymVal(ProgramStateRef St,
SymbolRef sym) const {
const ConstraintRangeTy::data_type *T = St->get<ConstraintRange>(sym);
return T ? T->getConcreteValue() : NULL;
}
ConditionTruthVal RangeConstraintManager::checkNull(ProgramStateRef State,
SymbolRef Sym) {
const RangeSet *Ranges = State->get<ConstraintRange>(Sym);
// If we don't have any information about this symbol, it's underconstrained.
if (!Ranges)
return ConditionTruthVal();
// If we have a concrete value, see if it's zero.
if (const llvm::APSInt *Value = Ranges->getConcreteValue())
return *Value == 0;
BasicValueFactory &BV = getBasicVals();
APSIntType IntType = BV.getAPSIntType(Sym->getType());
llvm::APSInt Zero = IntType.getZeroValue();
// Check if zero is in the set of possible values.
if (Ranges->Intersect(BV, F, Zero, Zero).isEmpty())
return false;
// Zero is a possible value, but it is not the /only/ possible value.
return ConditionTruthVal();
}
/// Scan all symbols referenced by the constraints. If the symbol is not alive
/// as marked in LSymbols, mark it as dead in DSymbols.
ProgramStateRef
RangeConstraintManager::removeDeadBindings(ProgramStateRef state,
SymbolReaper& SymReaper) {
ConstraintRangeTy CR = state->get<ConstraintRange>();
ConstraintRangeTy::Factory& CRFactory = state->get_context<ConstraintRange>();
for (ConstraintRangeTy::iterator I = CR.begin(), E = CR.end(); I != E; ++I) {
SymbolRef sym = I.getKey();
if (SymReaper.maybeDead(sym))
CR = CRFactory.remove(CR, sym);
}
return state->set<ConstraintRange>(CR);
}
RangeSet
RangeConstraintManager::GetRange(ProgramStateRef state, SymbolRef sym) {
if (ConstraintRangeTy::data_type* V = state->get<ConstraintRange>(sym))
return *V;
// Lazily generate a new RangeSet representing all possible values for the
// given symbol type.
BasicValueFactory &BV = getBasicVals();
QualType T = sym->getType();
RangeSet Result(F, BV.getMinValue(T), BV.getMaxValue(T));
// Special case: references are known to be non-zero.
if (T->isReferenceType()) {
APSIntType IntType = BV.getAPSIntType(T);
Result = Result.Intersect(BV, F, ++IntType.getZeroValue(),
--IntType.getZeroValue());
}
return Result;
}
//===------------------------------------------------------------------------===
// assumeSymX methods: public interface for RangeConstraintManager.
//===------------------------------------------------------------------------===/
// The syntax for ranges below is mathematical, using [x, y] for closed ranges
// and (x, y) for open ranges. These ranges are modular, corresponding with
// a common treatment of C integer overflow. This means that these methods
// do not have to worry about overflow; RangeSet::Intersect can handle such a
// "wraparound" range.
// As an example, the range [UINT_MAX-1, 3) contains five values: UINT_MAX-1,
// UINT_MAX, 0, 1, and 2.
ProgramStateRef
RangeConstraintManager::assumeSymNE(ProgramStateRef St, SymbolRef Sym,
const llvm::APSInt &Int,
const llvm::APSInt &Adjustment) {
// Before we do any real work, see if the value can even show up.
APSIntType AdjustmentType(Adjustment);
if (AdjustmentType.testInRange(Int, true) != APSIntType::RTR_Within)
return St;
llvm::APSInt Lower = AdjustmentType.convert(Int) - Adjustment;
llvm::APSInt Upper = Lower;
--Lower;
++Upper;
// [Int-Adjustment+1, Int-Adjustment-1]
// Notice that the lower bound is greater than the upper bound.
RangeSet New = GetRange(St, Sym).Intersect(getBasicVals(), F, Upper, Lower);
return New.isEmpty() ? NULL : St->set<ConstraintRange>(Sym, New);
}
ProgramStateRef
RangeConstraintManager::assumeSymEQ(ProgramStateRef St, SymbolRef Sym,
const llvm::APSInt &Int,
const llvm::APSInt &Adjustment) {
// Before we do any real work, see if the value can even show up.
APSIntType AdjustmentType(Adjustment);
if (AdjustmentType.testInRange(Int, true) != APSIntType::RTR_Within)
return NULL;
// [Int-Adjustment, Int-Adjustment]
llvm::APSInt AdjInt = AdjustmentType.convert(Int) - Adjustment;
RangeSet New = GetRange(St, Sym).Intersect(getBasicVals(), F, AdjInt, AdjInt);
return New.isEmpty() ? NULL : St->set<ConstraintRange>(Sym, New);
}
ProgramStateRef
RangeConstraintManager::assumeSymLT(ProgramStateRef St, SymbolRef Sym,
const llvm::APSInt &Int,
const llvm::APSInt &Adjustment) {
// Before we do any real work, see if the value can even show up.
APSIntType AdjustmentType(Adjustment);
switch (AdjustmentType.testInRange(Int, true)) {
case APSIntType::RTR_Below:
return NULL;
case APSIntType::RTR_Within:
break;
case APSIntType::RTR_Above:
return St;
}
// Special case for Int == Min. This is always false.
llvm::APSInt ComparisonVal = AdjustmentType.convert(Int);
llvm::APSInt Min = AdjustmentType.getMinValue();
if (ComparisonVal == Min)
return NULL;
llvm::APSInt Lower = Min-Adjustment;
llvm::APSInt Upper = ComparisonVal-Adjustment;
--Upper;
RangeSet New = GetRange(St, Sym).Intersect(getBasicVals(), F, Lower, Upper);
return New.isEmpty() ? NULL : St->set<ConstraintRange>(Sym, New);
}
ProgramStateRef
RangeConstraintManager::assumeSymGT(ProgramStateRef St, SymbolRef Sym,
const llvm::APSInt &Int,
const llvm::APSInt &Adjustment) {
// Before we do any real work, see if the value can even show up.
APSIntType AdjustmentType(Adjustment);
switch (AdjustmentType.testInRange(Int, true)) {
case APSIntType::RTR_Below:
return St;
case APSIntType::RTR_Within:
break;
case APSIntType::RTR_Above:
return NULL;
}
// Special case for Int == Max. This is always false.
llvm::APSInt ComparisonVal = AdjustmentType.convert(Int);
llvm::APSInt Max = AdjustmentType.getMaxValue();
if (ComparisonVal == Max)
return NULL;
llvm::APSInt Lower = ComparisonVal-Adjustment;
llvm::APSInt Upper = Max-Adjustment;
++Lower;
RangeSet New = GetRange(St, Sym).Intersect(getBasicVals(), F, Lower, Upper);
return New.isEmpty() ? NULL : St->set<ConstraintRange>(Sym, New);
}
ProgramStateRef
RangeConstraintManager::assumeSymGE(ProgramStateRef St, SymbolRef Sym,
const llvm::APSInt &Int,
const llvm::APSInt &Adjustment) {
// Before we do any real work, see if the value can even show up.
APSIntType AdjustmentType(Adjustment);
switch (AdjustmentType.testInRange(Int, true)) {
case APSIntType::RTR_Below:
return St;
case APSIntType::RTR_Within:
break;
case APSIntType::RTR_Above:
return NULL;
}
// Special case for Int == Min. This is always feasible.
llvm::APSInt ComparisonVal = AdjustmentType.convert(Int);
llvm::APSInt Min = AdjustmentType.getMinValue();
if (ComparisonVal == Min)
return St;
llvm::APSInt Max = AdjustmentType.getMaxValue();
llvm::APSInt Lower = ComparisonVal-Adjustment;
llvm::APSInt Upper = Max-Adjustment;
RangeSet New = GetRange(St, Sym).Intersect(getBasicVals(), F, Lower, Upper);
return New.isEmpty() ? NULL : St->set<ConstraintRange>(Sym, New);
}
ProgramStateRef
RangeConstraintManager::assumeSymLE(ProgramStateRef St, SymbolRef Sym,
const llvm::APSInt &Int,
const llvm::APSInt &Adjustment) {
// Before we do any real work, see if the value can even show up.
APSIntType AdjustmentType(Adjustment);
switch (AdjustmentType.testInRange(Int, true)) {
case APSIntType::RTR_Below:
return NULL;
case APSIntType::RTR_Within:
break;
case APSIntType::RTR_Above:
return St;
}
// Special case for Int == Max. This is always feasible.
llvm::APSInt ComparisonVal = AdjustmentType.convert(Int);
llvm::APSInt Max = AdjustmentType.getMaxValue();
if (ComparisonVal == Max)
return St;
llvm::APSInt Min = AdjustmentType.getMinValue();
llvm::APSInt Lower = Min-Adjustment;
llvm::APSInt Upper = ComparisonVal-Adjustment;
RangeSet New = GetRange(St, Sym).Intersect(getBasicVals(), F, Lower, Upper);
return New.isEmpty() ? NULL : St->set<ConstraintRange>(Sym, New);
}
//===------------------------------------------------------------------------===
// Pretty-printing.
//===------------------------------------------------------------------------===/
void RangeConstraintManager::print(ProgramStateRef St, raw_ostream &Out,
const char* nl, const char *sep) {
ConstraintRangeTy Ranges = St->get<ConstraintRange>();
if (Ranges.isEmpty()) {
Out << nl << sep << "Ranges are empty." << nl;
return;
}
Out << nl << sep << "Ranges of symbol values:";
for (ConstraintRangeTy::iterator I=Ranges.begin(), E=Ranges.end(); I!=E; ++I){
Out << nl << ' ' << I.getKey() << " : ";
I.getData().print(Out);
}
Out << nl;
}