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authorCristian Cadar <c.cadar@imperial.ac.uk>2015-08-03 16:02:25 +0100
committerCristian Cadar <c.cadar@imperial.ac.uk>2015-08-03 16:02:25 +0100
commitc91a035e51d2023133d4767eeb99bb8931710876 (patch)
treed5feba00f941463533fced36cc53227fd4241e2a /lib
parent26f485384e2409096d3fe54baff4b348cf08d2cf (diff)
parentbe37ac9605d380b7f36717338c2c520f375798c8 (diff)
downloadklee-c91a035e51d2023133d4767eeb99bb8931710876.tar.gz
Merge pull request #198 from holycrap872/IndependentSolverGetInitialValues
New version of the get initial values functionality which makes use of the independent solver.  
Diffstat (limited to 'lib')
-rw-r--r--lib/Solver/IndependentSolver.cpp211
1 files changed, 203 insertions, 8 deletions
diff --git a/lib/Solver/IndependentSolver.cpp b/lib/Solver/IndependentSolver.cpp
index dcaecb05..cfe1bb16 100644
--- a/lib/Solver/IndependentSolver.cpp
+++ b/lib/Solver/IndependentSolver.cpp
@@ -16,11 +16,13 @@
 #include "klee/Internal/Support/Debug.h"
 
 #include "klee/util/ExprUtil.h"
+#include "klee/util/Assignment.h"
 
 #include "llvm/Support/raw_ostream.h"
 #include <map>
 #include <vector>
 #include <ostream>
+#include <list>
 
 using namespace klee;
 using namespace llvm;
@@ -62,6 +64,14 @@ public:
     return false;
   }
 
+  std::set<unsigned>::iterator begin(){
+    return s.begin();
+  }
+
+  std::set<unsigned>::iterator end(){
+    return s.end();
+  }
+
   void print(llvm::raw_ostream &os) const {
     bool first = true;
     os << "{";
@@ -86,13 +96,23 @@ inline llvm::raw_ostream &operator<<(llvm::raw_ostream &os,
 }
 
 class IndependentElementSet {
+public:
   typedef std::map<const Array*, ::DenseSet<unsigned> > elements_ty;
-  elements_ty elements;
-  std::set<const Array*> wholeObjects;
+  elements_ty elements;                 // Represents individual elements of array accesses (arr[1])
+  std::set<const Array*> wholeObjects;  // Represents symbolically accessed arrays (arr[x])
+  std::vector<ref<Expr> > exprs;        // All expressions that are associated with this factor
+                                        // Although order doesn't matter, we use a vector to match
+                                        // the ConstraintManager constructor that will eventually
+                                        // be invoked.
 
-public:
   IndependentElementSet() {}
   IndependentElementSet(ref<Expr> e) {
+    exprs.push_back(e);
+    // Track all reads in the program.  Determines whether reads are
+    // concrete or symbolic.  If they are symbolic, "collapses" array
+    // by adding it to wholeObjects.  Otherwise, creates a mapping of
+    // the form Map<array, set<index>> which tracks which parts of the
+    // array are being accessed.
     std::vector< ref<ReadExpr> > reads;
     findReads(e, /* visitUpdates= */ true, reads);
     for (unsigned i = 0; i != reads.size(); ++i) {
@@ -106,6 +126,8 @@ public:
 
       if (!wholeObjects.count(array)) {
         if (ConstantExpr *CE = dyn_cast<ConstantExpr>(re->index)) {
+          // if index constant, then add to set of constraints operating
+          // on that array (actually, don't add constraint, just set index)
           ::DenseSet<unsigned> &dis = elements[array];
           dis.add((unsigned) CE->getZExtValue(32));
         } else {
@@ -119,11 +141,13 @@ public:
   }
   IndependentElementSet(const IndependentElementSet &ies) : 
     elements(ies.elements),
-    wholeObjects(ies.wholeObjects) {}    
+    wholeObjects(ies.wholeObjects),
+    exprs(ies.exprs) {}
 
   IndependentElementSet &operator=(const IndependentElementSet &ies) {
     elements = ies.elements;
     wholeObjects = ies.wholeObjects;
+    exprs = ies.exprs;
     return *this;
   }
 
@@ -160,6 +184,7 @@ public:
 
   // more efficient when this is the smaller set
   bool intersects(const IndependentElementSet &b) {
+    // If there are any symbolic arrays in our query that b accesses
     for (std::set<const Array*>::iterator it = wholeObjects.begin(), 
            ie = wholeObjects.end(); it != ie; ++it) {
       const Array *array = *it;
@@ -170,9 +195,11 @@ public:
     for (elements_ty::iterator it = elements.begin(), ie = elements.end();
          it != ie; ++it) {
       const Array *array = it->first;
+      // if the array we access is symbolic in b
       if (b.wholeObjects.count(array))
         return true;
       elements_ty::const_iterator it2 = b.elements.find(array);
+      // if any of the elements we access are also accessed by b
       if (it2 != b.elements.end()) {
         if (it->second.intersects(it2->second))
           return true;
@@ -183,6 +210,11 @@ public:
 
   // returns true iff set is changed by addition
   bool add(const IndependentElementSet &b) {
+    for(unsigned i = 0; i < b.exprs.size(); i ++){
+      ref<Expr> expr = b.exprs[i];
+      exprs.push_back(expr);
+    }
+
     bool modified = false;
     for (std::set<const Array*>::const_iterator it = b.wholeObjects.begin(), 
            ie = b.wholeObjects.end(); it != ie; ++it) {
@@ -208,6 +240,7 @@ public:
           modified = true;
           elements.insert(*it);
         } else {
+          // Now need to see if there are any (z=?)'s
           if (it2->second.add(it->second))
             modified = true;
         }
@@ -223,6 +256,60 @@ inline llvm::raw_ostream &operator<<(llvm::raw_ostream &os,
   return os;
 }
 
+// Breaks down a constraint into all of it's individual pieces, returning a
+// list of IndependentElementSets or the independent factors.
+static
+void getAllIndependentConstraintsSets(const Query& query,
+                                      std::list<IndependentElementSet> * &factors){
+  ConstantExpr *CE = dyn_cast<ConstantExpr>(query.expr);
+  if (CE){
+    assert(CE && CE->isFalse() &&
+           "the expr should always be false and therefore not included in factors");
+  } else {
+    ref<Expr> neg = Expr::createIsZero(query.expr);
+    factors->push_back(IndependentElementSet(neg));
+  }
+
+  for (ConstraintManager::const_iterator it = query.constraints.begin(),
+       ie = query.constraints.end(); it != ie; ++it)
+    // iterate through all the previously separated constraints.  Until we
+    // actually return, factors is treated as a queue of expressions to be
+    // evaluated.  If the queue property isn't maintained, then the exprs
+    // could be returned in an order different from how they came it, negatively
+    // affecting later stages.
+    factors->push_back(IndependentElementSet(*it));
+    bool doneLoop = false;
+    do {
+      doneLoop = true;
+      std::list<IndependentElementSet> * done = new std::list<IndependentElementSet>;
+      while (factors->size() > 0){
+        IndependentElementSet current = factors->front();
+        factors->pop_front();
+        // This list represents the set of factors that are separate from current.
+        // Those that are not inserted into this list (queue) intersect with current.
+	std::list<IndependentElementSet> *keep = new std::list<IndependentElementSet>;
+	while (factors->size() > 0){
+          IndependentElementSet compare = factors->front();
+          factors->pop_front();
+          if (current.intersects(compare)){
+            if (current.add(compare)){
+	      // Means that we have added (z=y)added to (x=y)
+	      // Now need to see if there are any (z=?)'s
+	      doneLoop = false;
+	    }
+	  } else {
+            keep->push_back(compare);
+	  }
+	}
+	done->push_back(current);
+	delete factors;
+	factors = keep;
+      }
+    delete factors;
+    factors = done;
+  } while (!doneLoop);
+}
+
 static 
 IndependentElementSet getIndependentConstraints(const Query& query,
                                                 std::vector< ref<Expr> > &result) {
@@ -244,6 +331,8 @@ IndependentElementSet getIndependentConstraints(const Query& query,
         if (eltsClosure.add(it->second))
           done = false;
         result.push_back(it->first);
+        // Means that we have added (z=y)added to (x=y)
+        // Now need to see if there are any (z=?)'s
       } else {
         newWorklist.push_back(*it);
       }
@@ -270,6 +359,27 @@ IndependentElementSet getIndependentConstraints(const Query& query,
   return eltsClosure;
 }
 
+
+// Extracts which arrays are referenced from a particular independent set.  Examines both
+// the actual known array accesses arr[1] plus the undetermined accesses arr[x].
+static
+void calculateArrayReferences(const IndependentElementSet & ie,
+                              std::vector<const Array *> &returnVector){
+  std::set<const Array*> thisSeen;
+  for(std::map<const Array*, ::DenseSet<unsigned> >::const_iterator it = ie.elements.begin();
+      it != ie.elements.end(); it ++){
+    thisSeen.insert(it->first);
+  }
+  for(std::set<const Array *>::iterator it = ie.wholeObjects.begin();
+      it != ie.wholeObjects.end(); it ++){
+    thisSeen.insert(*it);
+  }
+  for(std::set<const Array *>::iterator it = thisSeen.begin(); it != thisSeen.end();
+      it ++){
+    returnVector.push_back(*it);
+  }
+}
+
 class IndependentSolver : public SolverImpl {
 private:
   Solver *solver;
@@ -285,10 +395,7 @@ public:
   bool computeInitialValues(const Query& query,
                             const std::vector<const Array*> &objects,
                             std::vector< std::vector<unsigned char> > &values,
-                            bool &hasSolution) {
-    return solver->impl->computeInitialValues(query, objects, values,
-                                              hasSolution);
-  }
+                            bool &hasSolution);
   SolverRunStatus getOperationStatusCode();
   char *getConstraintLog(const Query&);
   void setCoreSolverTimeout(double timeout);
@@ -321,6 +428,94 @@ bool IndependentSolver::computeValue(const Query& query, ref<Expr> &result) {
   return solver->impl->computeValue(Query(tmp, query.expr), result);
 }
 
+
+// Helper function used only for assertions to make sure point created
+// during computeInitialValues is in fact correct.
+bool assertCreatedPointEvaluatesToTrue(const Query &query,
+                                       const std::vector<const Array*> &objects,
+                                       std::vector< std::vector<unsigned char> > &values){
+  Assignment assign = Assignment(objects, values);
+  for(ConstraintManager::constraint_iterator it = query.constraints.begin();
+      it != query.constraints.end(); ++it){
+    ref<Expr> ret = assign.evaluate(*it);
+    if(! isa<ConstantExpr>(ret) || ! cast<ConstantExpr>(ret)->isTrue()){
+      return false;
+    }
+  }
+  ref<Expr> neg = Expr::createIsZero(query.expr);
+  ref<Expr> q = assign.evaluate(neg);
+
+  assert(isa<ConstantExpr>(q) && "assignment evaluation did not result in constant");
+  return cast<ConstantExpr>(q)->isTrue();
+}
+
+bool IndependentSolver::computeInitialValues(const Query& query,
+                                             const std::vector<const Array*> &objects,
+                                             std::vector< std::vector<unsigned char> > &values,
+                                             bool &hasSolution){
+  std::list<IndependentElementSet> * factors = new std::list<IndependentElementSet>;
+  getAllIndependentConstraintsSets(query, factors);
+  //Used to rearrange all of the answers into the correct order
+  std::map<const Array*, std::vector<unsigned char> > retMap;
+  for (std::list<IndependentElementSet>::iterator it = factors->begin();
+       it != factors->end(); ++it) {
+    std::vector<const Array*> arraysInFactor;
+    calculateArrayReferences(*it, arraysInFactor);
+    // Going to use this as the "fresh" expression for the Query() invocation below
+    assert(it->exprs.size() >= 1 && "No null/empty factors");
+    if (arraysInFactor.size() == 0){
+      continue;
+    }
+    ConstraintManager tmp(it->exprs);
+    std::vector<std::vector<unsigned char> > tempValues;
+    if (!solver->impl->computeInitialValues(Query(tmp, ConstantExpr::alloc(0, Expr::Bool)),
+                                            arraysInFactor, tempValues, hasSolution)){
+      values.clear();
+      return false;
+    } else if (!hasSolution){
+      values.clear();
+      return true;
+    } else {
+      assert(tempValues.size() == arraysInFactor.size() &&
+             "Should be equal number arrays and answers");
+      for (unsigned i = 0; i < tempValues.size(); i++){
+        if (retMap.count(arraysInFactor[i])){
+          // We already have an array with some partially correct answers,
+          // so we need to place the answers to the new query into the right
+          // spot while avoiding the undetermined values also in the array
+          std::vector<unsigned char> * tempPtr = &retMap[arraysInFactor[i]];
+          assert(tempPtr->size() == tempValues[i].size() &&
+                 "we're talking about the same array here");
+          ::DenseSet<unsigned> * ds = &(it->elements[arraysInFactor[i]]);
+          for (std::set<unsigned>::iterator it2 = ds->begin(); it2 != ds->end(); it2++){
+            unsigned index = * it2;
+            (* tempPtr)[index] = tempValues[i][index];
+          }
+        } else {
+          // Dump all the new values into the array
+          retMap[arraysInFactor[i]] = tempValues[i];
+        }
+      }
+    }
+  }
+  for (std::vector<const Array *>::const_iterator it = objects.begin();
+       it != objects.end(); it++){
+    const Array * arr = * it;
+    if (!retMap.count(arr)){
+      // this means we have an array that is somehow related to the
+      // constraint, but whose values aren't actually required to
+      // satisfy the query.
+      std::vector<unsigned char> ret(arr->size);
+      values.push_back(ret);
+    } else {
+      values.push_back(retMap[arr]);
+    }
+  }
+  assert(assertCreatedPointEvaluatesToTrue(query, objects, values) && "should satisfy the equation");
+  delete factors;
+  return true;
+}
+
 SolverImpl::SolverRunStatus IndependentSolver::getOperationStatusCode() {
   return solver->impl->getOperationStatusCode();      
 }