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//== BasicConstraintManager.cpp - Manage basic 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 BasicConstraintManager, a class that tracks simple // equality and inequality constraints on symbolic values of ProgramState. // //===----------------------------------------------------------------------===// #include "SimpleConstraintManager.h" #include "clang/StaticAnalyzer/Core/PathSensitive/ProgramState.h" #include "clang/StaticAnalyzer/Core/PathSensitive/ProgramStateTrait.h" #include "llvm/Support/raw_ostream.h" using namespace clang; using namespace ento; namespace { class ConstNotEq {}; } namespace { class ConstEq {}; } typedef llvm::ImmutableMap<SymbolRef,ProgramState::IntSetTy> ConstNotEqTy; typedef llvm::ImmutableMap<SymbolRef,const llvm::APSInt*> ConstEqTy; static int ConstEqIndex = 0; static int ConstNotEqIndex = 0; namespace clang { namespace ento { template<> struct ProgramStateTrait<ConstNotEq> : public ProgramStatePartialTrait<ConstNotEqTy> { static inline void *GDMIndex() { return &ConstNotEqIndex; } }; template<> struct ProgramStateTrait<ConstEq> : public ProgramStatePartialTrait<ConstEqTy> { static inline void *GDMIndex() { return &ConstEqIndex; } }; } } namespace { // BasicConstraintManager only tracks equality and inequality constraints of // constants and integer variables. class BasicConstraintManager : public SimpleConstraintManager { ProgramState::IntSetTy::Factory ISetFactory; public: BasicConstraintManager(ProgramStateManager &statemgr, SubEngine &subengine) : SimpleConstraintManager(subengine), ISetFactory(statemgr.getAllocator()) {} ProgramStateRef assumeSymNE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V, const llvm::APSInt& Adjustment); ProgramStateRef assumeSymEQ(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V, const llvm::APSInt& Adjustment); ProgramStateRef assumeSymLT(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V, const llvm::APSInt& Adjustment); ProgramStateRef assumeSymGT(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V, const llvm::APSInt& Adjustment); ProgramStateRef assumeSymGE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V, const llvm::APSInt& Adjustment); ProgramStateRef assumeSymLE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V, const llvm::APSInt& Adjustment); ProgramStateRef AddEQ(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V); ProgramStateRef AddNE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V); const llvm::APSInt* getSymVal(ProgramStateRef state, SymbolRef sym) const; bool isNotEqual(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V) const; bool isEqual(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V) const; ProgramStateRef removeDeadBindings(ProgramStateRef state, SymbolReaper& SymReaper); void print(ProgramStateRef state, raw_ostream &Out, const char* nl, const char *sep); }; } // end anonymous namespace ConstraintManager* ento::CreateBasicConstraintManager(ProgramStateManager& statemgr, SubEngine &subengine) { return new BasicConstraintManager(statemgr, subengine); } ProgramStateRef BasicConstraintManager::assumeSymNE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt &V, const llvm::APSInt &Adjustment) { // First, determine if sym == X, where X+Adjustment != V. llvm::APSInt Adjusted = V-Adjustment; if (const llvm::APSInt* X = getSymVal(state, sym)) { bool isFeasible = (*X != Adjusted); return isFeasible ? state : NULL; } // Second, determine if sym+Adjustment != V. if (isNotEqual(state, sym, Adjusted)) return state; // If we reach here, sym is not a constant and we don't know if it is != V. // Make that assumption. return AddNE(state, sym, Adjusted); } ProgramStateRef BasicConstraintManager::assumeSymEQ(ProgramStateRef state, SymbolRef sym, const llvm::APSInt &V, const llvm::APSInt &Adjustment) { // First, determine if sym == X, where X+Adjustment != V. llvm::APSInt Adjusted = V-Adjustment; if (const llvm::APSInt* X = getSymVal(state, sym)) { bool isFeasible = (*X == Adjusted); return isFeasible ? state : NULL; } // Second, determine if sym+Adjustment != V. if (isNotEqual(state, sym, Adjusted)) return NULL; // If we reach here, sym is not a constant and we don't know if it is == V. // Make that assumption. return AddEQ(state, sym, Adjusted); } // The logic for these will be handled in another ConstraintManager. ProgramStateRef BasicConstraintManager::assumeSymLT(ProgramStateRef state, SymbolRef sym, const llvm::APSInt &V, const llvm::APSInt &Adjustment) { // Is 'V' the smallest possible value? if (V == llvm::APSInt::getMinValue(V.getBitWidth(), V.isUnsigned())) { // sym cannot be any value less than 'V'. This path is infeasible. return NULL; } // FIXME: For now have assuming x < y be the same as assuming sym != V; return assumeSymNE(state, sym, V, Adjustment); } ProgramStateRef BasicConstraintManager::assumeSymGT(ProgramStateRef state, SymbolRef sym, const llvm::APSInt &V, const llvm::APSInt &Adjustment) { // Is 'V' the largest possible value? if (V == llvm::APSInt::getMaxValue(V.getBitWidth(), V.isUnsigned())) { // sym cannot be any value greater than 'V'. This path is infeasible. return NULL; } // FIXME: For now have assuming x > y be the same as assuming sym != V; return assumeSymNE(state, sym, V, Adjustment); } ProgramStateRef BasicConstraintManager::assumeSymGE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt &V, const llvm::APSInt &Adjustment) { // Reject a path if the value of sym is a constant X and !(X+Adj >= V). if (const llvm::APSInt *X = getSymVal(state, sym)) { bool isFeasible = (*X >= V-Adjustment); return isFeasible ? state : NULL; } // Sym is not a constant, but it is worth looking to see if V is the // maximum integer value. if (V == llvm::APSInt::getMaxValue(V.getBitWidth(), V.isUnsigned())) { llvm::APSInt Adjusted = V-Adjustment; // If we know that sym != V (after adjustment), then this condition // is infeasible since there is no other value greater than V. bool isFeasible = !isNotEqual(state, sym, Adjusted); // If the path is still feasible then as a consequence we know that // 'sym+Adjustment == V' because there are no larger values. // Add this constraint. return isFeasible ? AddEQ(state, sym, Adjusted) : NULL; } return state; } ProgramStateRef BasicConstraintManager::assumeSymLE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt &V, const llvm::APSInt &Adjustment) { // Reject a path if the value of sym is a constant X and !(X+Adj <= V). if (const llvm::APSInt* X = getSymVal(state, sym)) { bool isFeasible = (*X <= V-Adjustment); return isFeasible ? state : NULL; } // Sym is not a constant, but it is worth looking to see if V is the // minimum integer value. if (V == llvm::APSInt::getMinValue(V.getBitWidth(), V.isUnsigned())) { llvm::APSInt Adjusted = V-Adjustment; // If we know that sym != V (after adjustment), then this condition // is infeasible since there is no other value less than V. bool isFeasible = !isNotEqual(state, sym, Adjusted); // If the path is still feasible then as a consequence we know that // 'sym+Adjustment == V' because there are no smaller values. // Add this constraint. return isFeasible ? AddEQ(state, sym, Adjusted) : NULL; } return state; } ProgramStateRef BasicConstraintManager::AddEQ(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V) { // Create a new state with the old binding replaced. return state->set<ConstEq>(sym, &state->getBasicVals().getValue(V)); } ProgramStateRef BasicConstraintManager::AddNE(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V) { // First, retrieve the NE-set associated with the given symbol. ConstNotEqTy::data_type* T = state->get<ConstNotEq>(sym); ProgramState::IntSetTy S = T ? *T : ISetFactory.getEmptySet(); // Now add V to the NE set. S = ISetFactory.add(S, &state->getBasicVals().getValue(V)); // Create a new state with the old binding replaced. return state->set<ConstNotEq>(sym, S); } const llvm::APSInt* BasicConstraintManager::getSymVal(ProgramStateRef state, SymbolRef sym) const { const ConstEqTy::data_type* T = state->get<ConstEq>(sym); return T ? *T : NULL; } bool BasicConstraintManager::isNotEqual(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V) const { // Retrieve the NE-set associated with the given symbol. const ConstNotEqTy::data_type* T = state->get<ConstNotEq>(sym); // See if V is present in the NE-set. return T ? T->contains(&state->getBasicVals().getValue(V)) : false; } bool BasicConstraintManager::isEqual(ProgramStateRef state, SymbolRef sym, const llvm::APSInt& V) const { // Retrieve the EQ-set associated with the given symbol. const ConstEqTy::data_type* T = state->get<ConstEq>(sym); // See if V is present in the EQ-set. return T ? **T == V : false; } /// Scan all symbols referenced by the constraints. If the symbol is not alive /// as marked in LSymbols, mark it as dead in DSymbols. ProgramStateRef BasicConstraintManager::removeDeadBindings(ProgramStateRef state, SymbolReaper& SymReaper) { ConstEqTy CE = state->get<ConstEq>(); ConstEqTy::Factory& CEFactory = state->get_context<ConstEq>(); for (ConstEqTy::iterator I = CE.begin(), E = CE.end(); I!=E; ++I) { SymbolRef sym = I.getKey(); if (SymReaper.maybeDead(sym)) CE = CEFactory.remove(CE, sym); } state = state->set<ConstEq>(CE); ConstNotEqTy CNE = state->get<ConstNotEq>(); ConstNotEqTy::Factory& CNEFactory = state->get_context<ConstNotEq>(); for (ConstNotEqTy::iterator I = CNE.begin(), E = CNE.end(); I != E; ++I) { SymbolRef sym = I.getKey(); if (SymReaper.maybeDead(sym)) CNE = CNEFactory.remove(CNE, sym); } return state->set<ConstNotEq>(CNE); } void BasicConstraintManager::print(ProgramStateRef state, raw_ostream &Out, const char* nl, const char *sep) { // Print equality constraints. ConstEqTy CE = state->get<ConstEq>(); if (!CE.isEmpty()) { Out << nl << sep << "'==' constraints:"; for (ConstEqTy::iterator I = CE.begin(), E = CE.end(); I!=E; ++I) Out << nl << " $" << I.getKey() << " : " << *I.getData(); } // Print != constraints. ConstNotEqTy CNE = state->get<ConstNotEq>(); if (!CNE.isEmpty()) { Out << nl << sep << "'!=' constraints:"; for (ConstNotEqTy::iterator I = CNE.begin(), EI = CNE.end(); I!=EI; ++I) { Out << nl << " $" << I.getKey() << " : "; bool isFirst = true; ProgramState::IntSetTy::iterator J = I.getData().begin(), EJ = I.getData().end(); for ( ; J != EJ; ++J) { if (isFirst) isFirst = false; else Out << ", "; Out << (*J)->getSExtValue(); // Hack: should print to raw_ostream. } } } }