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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.
+ }
+ }
+ }
+}