[Analyzer] Constraint Manager Negates Difference

If range [m .. n] is stored for symbolic expression A - B, then we can deduce the range for B - A which is [-n .. -m]. This is only true for signed types, unless the range is [0 .. 0].

Differential Revision: https://reviews.llvm.org/D35110

llvm-svn: 335814

clang/include/clang/StaticAnalyzer/Core/PathSensitive/RangedConstraintManager.h

@@ -115,6 +115,8 @@ public:
   RangeSet Intersect(BasicValueFactory &BV, Factory &F, llvm::APSInt Lower,
                      llvm::APSInt Upper) const;
 
+  RangeSet Negate(BasicValueFactory &BV, Factory &F) const;
+
   void print(raw_ostream &os) const;
 
   bool operator==(const RangeSet &other) const {

clang/lib/StaticAnalyzer/Core/RangeConstraintManager.cpp

@@ -174,6 +174,38 @@ RangeSet RangeSet::Intersect(BasicValueFactory &BV, Factory &F,
   return newRanges;
 }
 
+// Turn all [A, B] ranges to [-B, -A]. Ranges [MIN, B] are turned to range set
+// [MIN, MIN] U [-B, MAX], when MIN and MAX are the minimal and the maximal
+// signed values of the type.
+RangeSet RangeSet::Negate(BasicValueFactory &BV, Factory &F) const {
+  PrimRangeSet newRanges = F.getEmptySet();
+
+  for (iterator i = begin(), e = end(); i != e; ++i) {
+    const llvm::APSInt &from = i->From(), &to = i->To();
+    const llvm::APSInt &newTo = (from.isMinSignedValue() ?
+                                 BV.getMaxValue(from) :
+                                 BV.getValue(- from));
+    if (to.isMaxSignedValue() && !newRanges.isEmpty() &&
+        newRanges.begin()->From().isMinSignedValue()) {
+      assert(newRanges.begin()->To().isMinSignedValue() &&
+             "Ranges should not overlap");
+      assert(!from.isMinSignedValue() && "Ranges should not overlap");
+      const llvm::APSInt &newFrom = newRanges.begin()->From();
+      newRanges =
+        F.add(F.remove(newRanges, *newRanges.begin()), Range(newFrom, newTo));
+    } else if (!to.isMinSignedValue()) {
+      const llvm::APSInt &newFrom = BV.getValue(- to);
+      newRanges = F.add(newRanges, Range(newFrom, newTo));
+    }
+    if (from.isMinSignedValue()) {
+      newRanges = F.add(newRanges, Range(BV.getMinValue(from),
+                                         BV.getMinValue(from)));
+    }
+  }
+
+  return newRanges;
+}
+
 void RangeSet::print(raw_ostream &os) const {
   bool isFirst = true;
   os << "{ ";
@@ -252,6 +284,8 @@ private:
   RangeSet::Factory F;
 
   RangeSet getRange(ProgramStateRef State, SymbolRef Sym);
+  const RangeSet* getRangeForMinusSymbol(ProgramStateRef State,
+                                         SymbolRef Sym);
 
   RangeSet getSymLTRange(ProgramStateRef St, SymbolRef Sym,
                          const llvm::APSInt &Int,
@@ -268,6 +302,7 @@ private:
   RangeSet getSymGERange(ProgramStateRef St, SymbolRef Sym,
                          const llvm::APSInt &Int,
                          const llvm::APSInt &Adjustment);
+
 };
 
 } // end anonymous namespace
@@ -423,9 +458,15 @@ RangeSet RangeConstraintManager::getRange(ProgramStateRef State,
   if (ConstraintRangeTy::data_type *V = State->get<ConstraintRange>(Sym))
     return *V;
 
+  BasicValueFactory &BV = getBasicVals();
+
+  // If Sym is a difference of symbols A - B, then maybe we have range set
+  // stored for B - A.
+  if (const RangeSet *R = getRangeForMinusSymbol(State, Sym))
+    return R->Negate(BV, F);
+
   // 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));
@@ -441,6 +482,32 @@ RangeSet RangeConstraintManager::getRange(ProgramStateRef State,
   return Result;
 }
 
+// FIXME: Once SValBuilder supports unary minus, we should use SValBuilder to
+//        obtain the negated symbolic expression instead of constructing the
+//        symbol manually. This will allow us to support finding ranges of not
+//        only negated SymSymExpr-type expressions, but also of other, simpler
+//        expressions which we currently do not know how to negate.
+const RangeSet*
+RangeConstraintManager::getRangeForMinusSymbol(ProgramStateRef State,
+                                               SymbolRef Sym) {
+  if (const SymSymExpr *SSE = dyn_cast<SymSymExpr>(Sym)) {
+    if (SSE->getOpcode() == BO_Sub) {
+      QualType T = Sym->getType();
+      SymbolManager &SymMgr = State->getSymbolManager();
+      SymbolRef negSym = SymMgr.getSymSymExpr(SSE->getRHS(), BO_Sub,
+                                              SSE->getLHS(), T);
+      if (const RangeSet *negV = State->get<ConstraintRange>(negSym)) {
+        // Unsigned range set cannot be negated, unless it is [0, 0].
+        if ((negV->getConcreteValue() &&
+             (*negV->getConcreteValue() == 0)) ||
+            T->isSignedIntegerOrEnumerationType())
+          return negV;
+      }
+    }
+  }
+  return nullptr;
+}
+
 //===------------------------------------------------------------------------===
 // assumeSymX methods: protected interface for RangeConstraintManager.
 //===------------------------------------------------------------------------===/

clang/test/Analysis/constraint_manager_negate_difference.c

@@ -0,0 +1,98 @@
+// RUN: %clang_analyze_cc1 -analyzer-checker=debug.ExprInspection,core.builtin -analyzer-config aggressive-relational-comparison-simplification=true -verify %s
+
+void clang_analyzer_eval(int);
+
+void exit(int);
+
+#define UINT_MAX (~0U)
+#define INT_MAX (UINT_MAX & (UINT_MAX >> 1))
+#define INT_MIN (UINT_MAX & ~(UINT_MAX >> 1))
+
+extern void __assert_fail (__const char *__assertion, __const char *__file,
+    unsigned int __line, __const char *__function)
+     __attribute__ ((__noreturn__));
+#define assert(expr) \
+  ((expr)  ? (void)(0)  : __assert_fail (#expr, __FILE__, __LINE__, __func__))
+
+void assert_in_range(int x) {
+  assert(x <= ((int)INT_MAX / 4));
+  assert(x >= -(((int)INT_MAX) / 4));
+}
+
+void assert_in_wide_range(int x) {
+  assert(x <= ((int)INT_MAX / 2));
+  assert(x >= -(((int)INT_MAX) / 2));
+}
+
+void assert_in_range_2(int m, int n) {
+  assert_in_range(m);
+  assert_in_range(n);
+}
+
+void equal(int m, int n) {
+  assert_in_range_2(m, n);
+  if (m != n)
+    return;
+  assert_in_wide_range(m - n);
+  clang_analyzer_eval(n == m); // expected-warning{{TRUE}}
+}
+
+void non_equal(int m, int n) {
+  assert_in_range_2(m, n);
+  if (m == n)
+    return;
+  assert_in_wide_range(m - n);
+  clang_analyzer_eval(n != m); // expected-warning{{TRUE}}
+}
+
+void less_or_equal(int m, int n) {
+  assert_in_range_2(m, n);
+  if (m < n)
+    return;
+  assert_in_wide_range(m - n);
+  clang_analyzer_eval(n <= m); // expected-warning{{TRUE}}
+}
+
+void less(int m, int n) {
+  assert_in_range_2(m, n);
+  if (m <= n)
+    return;
+  assert_in_wide_range(m - n);
+  clang_analyzer_eval(n < m); // expected-warning{{TRUE}}
+}
+
+void greater_or_equal(int m, int n) {
+  assert_in_range_2(m, n);
+  if (m > n)
+    return;
+  assert_in_wide_range(m - n);
+  clang_analyzer_eval(n >= m); // expected-warning{{TRUE}}
+}
+
+void greater(int m, int n) {
+  assert_in_range_2(m, n);
+  if (m >= n)
+    return;
+  assert_in_wide_range(m - n);
+  clang_analyzer_eval(n > m); // expected-warning{{TRUE}}
+}
+
+void negate_positive_range(int m, int n) {
+  if (m - n <= 0)
+    return;
+  clang_analyzer_eval(n - m < 0); // expected-warning{{TRUE}}
+  clang_analyzer_eval(n - m > INT_MIN); // expected-warning{{TRUE}}
+  clang_analyzer_eval(n - m == INT_MIN); // expected-warning{{FALSE}}
+}
+
+void negate_int_min(int m, int n) {
+  if (m - n != INT_MIN)
+    return;
+  clang_analyzer_eval(n - m == INT_MIN); // expected-warning{{TRUE}}
+}
+
+void negate_mixed(int m, int n) {
+  if (m -n > INT_MIN && m - n <= 0)
+    return;
+  clang_analyzer_eval(n - m <= 0); // expected-warning{{TRUE}}
+}

clang/test/Analysis/ptr-arith.c

@@ -265,49 +265,26 @@ void size_implies_comparison(int *lhs, int *rhs) {
   clang_analyzer_eval((rhs - lhs) > 0); // expected-warning{{TRUE}}
 }
 
-//-------------------------------
-// False positives
-//-------------------------------
-
 void zero_implies_reversed_equal(int *lhs, int *rhs) {
   clang_analyzer_eval((rhs - lhs) == 0); // expected-warning{{UNKNOWN}}
   if ((rhs - lhs) == 0) {
-#ifdef ANALYZER_CM_Z3
     clang_analyzer_eval(rhs != lhs); // expected-warning{{FALSE}}
     clang_analyzer_eval(rhs == lhs); // expected-warning{{TRUE}}
-#else
-    clang_analyzer_eval(rhs != lhs); // expected-warning{{UNKNOWN}}
-    clang_analyzer_eval(rhs == lhs); // expected-warning{{UNKNOWN}}
-#endif
     return;
   }
   clang_analyzer_eval((rhs - lhs) == 0); // expected-warning{{FALSE}}
-#ifdef ANALYZER_CM_Z3
   clang_analyzer_eval(rhs == lhs); // expected-warning{{FALSE}}
   clang_analyzer_eval(rhs != lhs); // expected-warning{{TRUE}}
-#else
-  clang_analyzer_eval(rhs == lhs); // expected-warning{{UNKNOWN}}
-  clang_analyzer_eval(rhs != lhs); // expected-warning{{UNKNOWN}}
-#endif
 }
 
 void canonical_equal(int *lhs, int *rhs) {
   clang_analyzer_eval(lhs == rhs); // expected-warning{{UNKNOWN}}
   if (lhs == rhs) {
-#ifdef ANALYZER_CM_Z3
     clang_analyzer_eval(rhs == lhs); // expected-warning{{TRUE}}
-#else
-    clang_analyzer_eval(rhs == lhs); // expected-warning{{UNKNOWN}}
-#endif
     return;
   }
   clang_analyzer_eval(lhs == rhs); // expected-warning{{FALSE}}
-
-#ifdef ANALYZER_CM_Z3
   clang_analyzer_eval(rhs == lhs); // expected-warning{{FALSE}}
-#else
-  clang_analyzer_eval(rhs == lhs); // expected-warning{{UNKNOWN}}
-#endif
 }
 
 void compare_element_region_and_base(int *p) {