const GRState* SimpleConstraintManager::AssumeInBound(const GRState* St, SVal Idx, SVal UpperBound, bool Assumption, bool& isFeasible) { // Only support ConcreteInt for now. if (!(isa<nonloc::ConcreteInt>(Idx) && isa<nonloc::ConcreteInt>(UpperBound))){ isFeasible = true; return St; } const llvm::APSInt& Zero = getBasicVals().getZeroWithPtrWidth(false); llvm::APSInt IdxV = cast<nonloc::ConcreteInt>(Idx).getValue(); // IdxV might be too narrow. if (IdxV.getBitWidth() < Zero.getBitWidth()) IdxV.extend(Zero.getBitWidth()); // UBV might be too narrow, too. llvm::APSInt UBV = cast<nonloc::ConcreteInt>(UpperBound).getValue(); if (UBV.getBitWidth() < Zero.getBitWidth()) UBV.extend(Zero.getBitWidth()); bool InBound = (Zero <= IdxV) && (IdxV < UBV); isFeasible = Assumption ? InBound : !InBound; return St; }
ProgramStateRef SimpleConstraintManager::assumeSymWithinInclusiveRange( ProgramStateRef State, SymbolRef Sym, const llvm::APSInt &From, const llvm::APSInt &To, bool InRange) { // Get the type used for calculating wraparound. BasicValueFactory &BVF = getBasicVals(); APSIntType WraparoundType = BVF.getAPSIntType(Sym->getType()); llvm::APSInt Adjustment = WraparoundType.getZeroValue(); SymbolRef AdjustedSym = Sym; computeAdjustment(AdjustedSym, Adjustment); // Convert the right-hand side integer as necessary. APSIntType ComparisonType = std::max(WraparoundType, APSIntType(From)); llvm::APSInt ConvertedFrom = ComparisonType.convert(From); llvm::APSInt ConvertedTo = ComparisonType.convert(To); // Prefer unsigned comparisons. if (ComparisonType.getBitWidth() == WraparoundType.getBitWidth() && ComparisonType.isUnsigned() && !WraparoundType.isUnsigned()) Adjustment.setIsSigned(false); if (InRange) return assumeSymbolWithinInclusiveRange(State, AdjustedSym, ConvertedFrom, ConvertedTo, Adjustment); return assumeSymbolOutOfInclusiveRange(State, AdjustedSym, ConvertedFrom, ConvertedTo, Adjustment); }
ProgramStateRef SimpleConstraintManager::assumeSymRel(ProgramStateRef State, const SymExpr *LHS, BinaryOperator::Opcode Op, const llvm::APSInt &Int) { assert(BinaryOperator::isComparisonOp(Op) && "Non-comparison ops should be rewritten as comparisons to zero."); // Get the type used for calculating wraparound. BasicValueFactory &BVF = getBasicVals(); APSIntType WraparoundType = BVF.getAPSIntType(LHS->getType()); // We only handle simple comparisons of the form "$sym == constant" // or "($sym+constant1) == constant2". // The adjustment is "constant1" in the above expression. It's used to // "slide" the solution range around for modular arithmetic. For example, // x < 4 has the solution [0, 3]. x+2 < 4 has the solution [0-2, 3-2], which // in modular arithmetic is [0, 1] U [UINT_MAX-1, UINT_MAX]. It's up to // the subclasses of SimpleConstraintManager to handle the adjustment. SymbolRef Sym = LHS; llvm::APSInt Adjustment = WraparoundType.getZeroValue(); computeAdjustment(Sym, Adjustment); // Convert the right-hand side integer as necessary. APSIntType ComparisonType = std::max(WraparoundType, APSIntType(Int)); llvm::APSInt ConvertedInt = ComparisonType.convert(Int); // Prefer unsigned comparisons. if (ComparisonType.getBitWidth() == WraparoundType.getBitWidth() && ComparisonType.isUnsigned() && !WraparoundType.isUnsigned()) Adjustment.setIsSigned(false); switch (Op) { default: llvm_unreachable("invalid operation not caught by assertion above"); case BO_EQ: return assumeSymEQ(State, Sym, ConvertedInt, Adjustment); case BO_NE: return assumeSymNE(State, Sym, ConvertedInt, Adjustment); case BO_GT: return assumeSymGT(State, Sym, ConvertedInt, Adjustment); case BO_GE: return assumeSymGE(State, Sym, ConvertedInt, Adjustment); case BO_LT: return assumeSymLT(State, Sym, ConvertedInt, Adjustment); case BO_LE: return assumeSymLE(State, Sym, ConvertedInt, Adjustment); } // end switch }
ProgramStateRef SimpleConstraintManager::assumeSymRel(ProgramStateRef state, const SymExpr *LHS, BinaryOperator::Opcode op, const llvm::APSInt& Int) { assert(BinaryOperator::isComparisonOp(op) && "Non-comparison ops should be rewritten as comparisons to zero."); BasicValueFactory &BVF = getBasicVals(); ASTContext &Ctx = BVF.getContext(); // Get the type used for calculating wraparound. APSIntType WraparoundType = BVF.getAPSIntType(LHS->getType(Ctx)); // We only handle simple comparisons of the form "$sym == constant" // or "($sym+constant1) == constant2". // The adjustment is "constant1" in the above expression. It's used to // "slide" the solution range around for modular arithmetic. For example, // x < 4 has the solution [0, 3]. x+2 < 4 has the solution [0-2, 3-2], which // in modular arithmetic is [0, 1] U [UINT_MAX-1, UINT_MAX]. It's up to // the subclasses of SimpleConstraintManager to handle the adjustment. SymbolRef Sym = LHS; llvm::APSInt Adjustment = WraparoundType.getZeroValue(); computeAdjustment(Sym, Adjustment); // Convert the right-hand side integer as necessary. APSIntType ComparisonType = std::max(WraparoundType, APSIntType(Int)); llvm::APSInt ConvertedInt = ComparisonType.convert(Int); switch (op) { default: // No logic yet for other operators. assume the constraint is feasible. return state; case BO_EQ: return assumeSymEQ(state, Sym, ConvertedInt, Adjustment); case BO_NE: return assumeSymNE(state, Sym, ConvertedInt, Adjustment); case BO_GT: return assumeSymGT(state, Sym, ConvertedInt, Adjustment); case BO_GE: return assumeSymGE(state, Sym, ConvertedInt, Adjustment); case BO_LT: return assumeSymLT(state, Sym, ConvertedInt, Adjustment); case BO_LE: return assumeSymLE(state, Sym, ConvertedInt, Adjustment); } // end switch }
ProgramStateRef RangedConstraintManager::assumeSym(ProgramStateRef State, SymbolRef Sym, bool Assumption) { // Handle SymbolData. if (isa<SymbolData>(Sym)) { return assumeSymUnsupported(State, Sym, Assumption); // Handle symbolic expression. } else if (const SymIntExpr *SIE = dyn_cast<SymIntExpr>(Sym)) { // We can only simplify expressions whose RHS is an integer. BinaryOperator::Opcode op = SIE->getOpcode(); if (BinaryOperator::isComparisonOp(op) && op != BO_Cmp) { if (!Assumption) op = BinaryOperator::negateComparisonOp(op); return assumeSymRel(State, SIE->getLHS(), op, SIE->getRHS()); } } else if (const SymSymExpr *SSE = dyn_cast<SymSymExpr>(Sym)) { // Translate "a != b" to "(b - a) != 0". // We invert the order of the operands as a heuristic for how loop // conditions are usually written ("begin != end") as compared to length // calculations ("end - begin"). The more correct thing to do would be to // canonicalize "a - b" and "b - a", which would allow us to treat // "a != b" and "b != a" the same. SymbolManager &SymMgr = getSymbolManager(); BinaryOperator::Opcode Op = SSE->getOpcode(); assert(BinaryOperator::isComparisonOp(Op)); // For now, we only support comparing pointers. if (Loc::isLocType(SSE->getLHS()->getType()) && Loc::isLocType(SSE->getRHS()->getType())) { QualType DiffTy = SymMgr.getContext().getPointerDiffType(); SymbolRef Subtraction = SymMgr.getSymSymExpr(SSE->getRHS(), BO_Sub, SSE->getLHS(), DiffTy); const llvm::APSInt &Zero = getBasicVals().getValue(0, DiffTy); Op = BinaryOperator::reverseComparisonOp(Op); if (!Assumption) Op = BinaryOperator::negateComparisonOp(Op); return assumeSymRel(State, Subtraction, Op, Zero); } } // If we get here, there's nothing else we can do but treat the symbol as // opaque. return assumeSymUnsupported(State, Sym, Assumption); }
ProgramStateRef SimpleConstraintManager::assumeAuxForSymbol(ProgramStateRef State, SymbolRef Sym, bool Assumption) { BasicValueFactory &BVF = getBasicVals(); QualType T = Sym->getType(); // None of the constraint solvers currently support non-integer types. if (!T->isIntegralOrEnumerationType()) return State; const llvm::APSInt &zero = BVF.getValue(0, T); if (Assumption) return assumeSymNE(State, Sym, zero, zero); else return assumeSymEQ(State, Sym, zero, zero); }
ProgramStateRef RangedConstraintManager::assumeSymUnsupported(ProgramStateRef State, SymbolRef Sym, bool Assumption) { BasicValueFactory &BVF = getBasicVals(); QualType T = Sym->getType(); // Non-integer types are not supported. if (!T->isIntegralOrEnumerationType()) return State; // Reverse the operation and add directly to state. const llvm::APSInt &Zero = BVF.getValue(0, T); if (Assumption) return assumeSymNE(State, Sym, Zero, Zero); else return assumeSymEQ(State, Sym, Zero, Zero); }
ProgramStateRef SimpleConstraintManager::assumeAux(ProgramStateRef state, Loc Cond, bool Assumption) { switch (Cond.getSubKind()) { default: assert (false && "'Assume' not implemented for this Loc."); return state; case loc::MemRegionKind: { // FIXME: Should this go into the storemanager? const MemRegion *R = cast<loc::MemRegionVal>(Cond).getRegion(); const SubRegion *SubR = dyn_cast<SubRegion>(R); while (SubR) { // FIXME: now we only find the first symbolic region. if (const SymbolicRegion *SymR = dyn_cast<SymbolicRegion>(SubR)) { const llvm::APSInt &zero = getBasicVals().getZeroWithPtrWidth(); if (Assumption) return assumeSymNE(state, SymR->getSymbol(), zero, zero); else return assumeSymEQ(state, SymR->getSymbol(), zero, zero); } SubR = dyn_cast<SubRegion>(SubR->getSuperRegion()); } // FALL-THROUGH. } case loc::GotoLabelKind: return Assumption ? state : NULL; case loc::ConcreteIntKind: { bool b = cast<loc::ConcreteInt>(Cond).getValue() != 0; bool isFeasible = b ? Assumption : !Assumption; return isFeasible ? state : NULL; } } // end switch }
ProgramStateRef SimpleConstraintManager::assumeAux(ProgramStateRef State, NonLoc Cond, bool Assumption) { // We cannot reason about SymSymExprs, and can only reason about some // SymIntExprs. if (!canReasonAbout(Cond)) { // Just add the constraint to the expression without trying to simplify. SymbolRef Sym = Cond.getAsSymExpr(); return assumeAuxForSymbol(State, Sym, Assumption); } switch (Cond.getSubKind()) { default: llvm_unreachable("'Assume' not implemented for this NonLoc"); case nonloc::SymbolValKind: { nonloc::SymbolVal SV = Cond.castAs<nonloc::SymbolVal>(); SymbolRef Sym = SV.getSymbol(); assert(Sym); // Handle SymbolData. if (!SV.isExpression()) { return assumeAuxForSymbol(State, Sym, Assumption); // Handle symbolic expression. } else if (const SymIntExpr *SE = dyn_cast<SymIntExpr>(Sym)) { // We can only simplify expressions whose RHS is an integer. BinaryOperator::Opcode Op = SE->getOpcode(); if (BinaryOperator::isComparisonOp(Op)) { if (!Assumption) Op = BinaryOperator::negateComparisonOp(Op); return assumeSymRel(State, SE->getLHS(), Op, SE->getRHS()); } } else if (const SymSymExpr *SSE = dyn_cast<SymSymExpr>(Sym)) { // Translate "a != b" to "(b - a) != 0". // We invert the order of the operands as a heuristic for how loop // conditions are usually written ("begin != end") as compared to length // calculations ("end - begin"). The more correct thing to do would be to // canonicalize "a - b" and "b - a", which would allow us to treat // "a != b" and "b != a" the same. SymbolManager &SymMgr = getSymbolManager(); BinaryOperator::Opcode Op = SSE->getOpcode(); assert(BinaryOperator::isComparisonOp(Op)); // For now, we only support comparing pointers. assert(Loc::isLocType(SSE->getLHS()->getType())); assert(Loc::isLocType(SSE->getRHS()->getType())); QualType DiffTy = SymMgr.getContext().getPointerDiffType(); SymbolRef Subtraction = SymMgr.getSymSymExpr(SSE->getRHS(), BO_Sub, SSE->getLHS(), DiffTy); const llvm::APSInt &Zero = getBasicVals().getValue(0, DiffTy); Op = BinaryOperator::reverseComparisonOp(Op); if (!Assumption) Op = BinaryOperator::negateComparisonOp(Op); return assumeSymRel(State, Subtraction, Op, Zero); } // If we get here, there's nothing else we can do but treat the symbol as // opaque. return assumeAuxForSymbol(State, Sym, Assumption); } case nonloc::ConcreteIntKind: { bool b = Cond.castAs<nonloc::ConcreteInt>().getValue() != 0; bool isFeasible = b ? Assumption : !Assumption; return isFeasible ? State : nullptr; } case nonloc::PointerToMemberKind: { bool IsNull = !Cond.castAs<nonloc::PointerToMember>().isNullMemberPointer(); bool IsFeasible = IsNull ? Assumption : !Assumption; return IsFeasible ? State : nullptr; } case nonloc::LocAsIntegerKind: return assume(State, Cond.castAs<nonloc::LocAsInteger>().getLoc(), Assumption); } // end switch }
ProgramStateRef SimpleConstraintManager::assumeAux(ProgramStateRef state, NonLoc Cond, bool Assumption) { // We cannot reason about SymSymExprs, and can only reason about some // SymIntExprs. if (!canReasonAbout(Cond)) { // Just add the constraint to the expression without trying to simplify. SymbolRef sym = Cond.getAsSymExpr(); return assumeAuxForSymbol(state, sym, Assumption); } BasicValueFactory &BasicVals = getBasicVals(); switch (Cond.getSubKind()) { default: llvm_unreachable("'Assume' not implemented for this NonLoc"); case nonloc::SymbolValKind: { nonloc::SymbolVal& SV = cast<nonloc::SymbolVal>(Cond); SymbolRef sym = SV.getSymbol(); assert(sym); // Handle SymbolData. if (!SV.isExpression()) { return assumeAuxForSymbol(state, sym, Assumption); // Handle symbolic expression. } else { // We can only simplify expressions whose RHS is an integer. const SymIntExpr *SE = dyn_cast<SymIntExpr>(sym); if (!SE) return assumeAuxForSymbol(state, sym, Assumption); BinaryOperator::Opcode op = SE->getOpcode(); // Implicitly compare non-comparison expressions to 0. if (!BinaryOperator::isComparisonOp(op)) { QualType T = SE->getType(BasicVals.getContext()); const llvm::APSInt &zero = BasicVals.getValue(0, T); op = (Assumption ? BO_NE : BO_EQ); return assumeSymRel(state, SE, op, zero); } // From here on out, op is the real comparison we'll be testing. if (!Assumption) op = NegateComparison(op); return assumeSymRel(state, SE->getLHS(), op, SE->getRHS()); } } case nonloc::ConcreteIntKind: { bool b = cast<nonloc::ConcreteInt>(Cond).getValue() != 0; bool isFeasible = b ? Assumption : !Assumption; return isFeasible ? state : NULL; } case nonloc::LocAsIntegerKind: return assumeAux(state, cast<nonloc::LocAsInteger>(Cond).getLoc(), Assumption); } // end switch }