ImmutableStateFactory.java

package edu.udel.cis.vsl.civl.state.common.immutable;

import static edu.udel.cis.vsl.civl.config.IF.CIVLConstants.simplifyO;

import java.util.Arrays;
import java.util.BitSet;
import java.util.Collection;
import java.util.HashMap;
import java.util.Iterator;
import java.util.LinkedHashSet;
import java.util.Map;
import java.util.Set;

import edu.udel.cis.vsl.civl.dynamic.IF.SymbolicUtility;
import edu.udel.cis.vsl.civl.model.IF.CIVLException.Certainty;
import edu.udel.cis.vsl.civl.model.IF.CIVLException.ErrorKind;
import edu.udel.cis.vsl.civl.model.IF.CIVLFunction;
import edu.udel.cis.vsl.civl.model.IF.Model;
import edu.udel.cis.vsl.civl.model.IF.ModelFactory;
import edu.udel.cis.vsl.civl.model.IF.Scope;
import edu.udel.cis.vsl.civl.model.IF.location.Location;
import edu.udel.cis.vsl.civl.model.IF.variable.Variable;
import edu.udel.cis.vsl.civl.state.IF.CIVLStateException;
import edu.udel.cis.vsl.civl.state.IF.DynamicScope;
import edu.udel.cis.vsl.civl.state.IF.ProcessState;
import edu.udel.cis.vsl.civl.state.IF.StackEntry;
import edu.udel.cis.vsl.civl.state.IF.State;
import edu.udel.cis.vsl.civl.state.IF.StateFactory;
import edu.udel.cis.vsl.civl.util.IF.Pair;
import edu.udel.cis.vsl.gmc.GMCConfiguration;
import edu.udel.cis.vsl.sarl.IF.Reasoner;
import edu.udel.cis.vsl.sarl.IF.SARLException;
import edu.udel.cis.vsl.sarl.IF.SymbolicUniverse;
import edu.udel.cis.vsl.sarl.IF.expr.BooleanExpression;
import edu.udel.cis.vsl.sarl.IF.expr.NumericExpression;
import edu.udel.cis.vsl.sarl.IF.expr.ReferenceExpression;
import edu.udel.cis.vsl.sarl.IF.expr.SymbolicConstant;
import edu.udel.cis.vsl.sarl.IF.expr.SymbolicExpression;
import edu.udel.cis.vsl.sarl.IF.expr.SymbolicExpression.SymbolicOperator;
import edu.udel.cis.vsl.sarl.IF.number.IntegerNumber;
import edu.udel.cis.vsl.sarl.IF.object.IntObject;
import edu.udel.cis.vsl.sarl.IF.object.StringObject;
import edu.udel.cis.vsl.sarl.IF.object.SymbolicObject;
import edu.udel.cis.vsl.sarl.IF.object.SymbolicObject.SymbolicObjectKind;
import edu.udel.cis.vsl.sarl.IF.type.SymbolicArrayType;
import edu.udel.cis.vsl.sarl.IF.type.SymbolicType;
import edu.udel.cis.vsl.sarl.collections.IF.SymbolicCollection;

/**
 * An implementation of StateFactory based on the Immutable Pattern.
 * 
 * @author Timothy K. Zirkel (zirkel)
 * @author Timothy J. McClory (tmcclory)
 * @author Stephen F. Siegel (siegel)
 * 
 */
public class ImmutableStateFactory implements StateFactory {

	/* ************************** Instance Fields ************************** */

	/**
	 * True iff each canonic state is to be simplified using its path condition.
	 */
	private boolean simplify;

	/**
	 * The number of instances of states that have been created.
	 */
	private long initialNumStateInstances = ImmutableState.instanceCount;

	/**
	 * The model factory.
	 */
	private ModelFactory modelFactory;

	/**
	 * The map of canonic process states. The key and the corresponding value
	 * should be the same, in order to allow fast checking of existence and
	 * returning the value.
	 */
	private Map<ImmutableProcessState, ImmutableProcessState> processMap = new HashMap<>(
			100000);

	/**
	 * The map of canonic dyscopes. The key and the corresponding value should
	 * be the same, in order to allow fast checking of existence and returning
	 * the value.
	 */
	private Map<ImmutableDynamicScope, ImmutableDynamicScope> scopeMap = new HashMap<>(
			100000);

	/**
	 * The number of canonic states.
	 */
	private int stateCount = 0;

	/**
	 * The number of canonic process states.
	 */
	private int processCount = 0;

	/**
	 * The number of canonic dyscopes.
	 */
	private int dyscopeCount = 0;

	/**
	 * The map of canonic states. The key and the corresponding value should be
	 * the same, in order to allow fast checking of existence and returning the
	 * value.
	 */
	private Map<ImmutableState, ImmutableState> stateMap = new HashMap<>(
			1000000);

	/**
	 * The reasoner for evaluating boolean formulas, provided by SARL.
	 */
	private Reasoner trueReasoner;

	/**
	 * The symbolic universe, provided by SARL.
	 */
	private SymbolicUniverse universe;

	private SymbolicUtility symbolicUtil;

	/* **************************** Constructors *************************** */

	/**
	 * Factory to create all state objects.
	 */
	public ImmutableStateFactory(ModelFactory modelFactory,
			SymbolicUtility symbolicUtil, GMCConfiguration config) {
		this.modelFactory = modelFactory;
		this.symbolicUtil = symbolicUtil;
		this.universe = modelFactory.universe();
		this.trueReasoner = universe.reasoner(universe.trueExpression());
		this.simplify = config.isTrue(simplifyO);
	}

	/* ********************** Methods from StateFactory ******************** */

	@Override
	public ImmutableState addProcess(State state, CIVLFunction function,
			SymbolicExpression[] arguments, int callerPid) {
		ImmutableState theState = createNewProcess(state);

		return pushCallStack2(theState, state.numProcs(), function, -1,
				arguments, callerPid);
	}

	@Override
	public State addProcess(State state, CIVLFunction function,
			int functionParentDyscope, SymbolicExpression[] arguments,
			int callerPid) {
		ImmutableState theState = createNewProcess(state);

		return pushCallStack2(theState, state.numProcs(), function,
				functionParentDyscope, arguments, callerPid);
	}

	/**
	 * <p>
	 * In this implementation of canonic: process states are collected, heaps
	 * are collected, dynamic scopes are collected, the flyweight representative
	 * is taken, simplify is called if that option is selected, then the
	 * flyweight representative is taken again.
	 * </p>
	 * 
	 * 
	 * @throws CIVLStateException
	 */
	@Override
	public ImmutableState canonic(State state, boolean collectProcesses,
			boolean collectScopes, boolean collectHeaps)
			throws CIVLStateException {
		ImmutableState theState = (ImmutableState) state;

		if (collectProcesses)
			theState = collectProcesses(theState);
		if (collectScopes)
			theState = collectScopes(theState);
		if (collectHeaps)
			theState = collectHeaps(theState);
		theState = collectSymbolicConstants(theState, collectHeaps);
		theState = flyweight(theState);
		if (simplify) {
			ImmutableState simplifiedState = theState.simplifiedState;

			if (simplifiedState == null) {
				simplifiedState = simplify(theState);
				simplifiedState = flyweight(simplifiedState);
				theState.simplifiedState = simplifiedState;
				simplifiedState.simplifiedState = simplifiedState;
				return simplifiedState;
			}
		}
		return theState;
	}

	@Override
	public ImmutableState collectHeaps(State state) throws CIVLStateException {
		ImmutableState theState = (ImmutableState) state;

		// only collect heaps when necessary.
		if (!this.hasNonEmptyHeaps(theState))
			return theState;
		else {
			Set<SymbolicExpression> reachable = this
					.reachableHeapObjectsOfState(theState);
			int numDyscopes = theState.numDyscopes();
			int numHeapFields = modelFactory.heapType().getNumMallocs();
			Map<SymbolicExpression, SymbolicExpression> oldToNewHeapMemUnits = new HashMap<>();
			// Map<SymbolicExpression, SymbolicExpression> oldToNewExpressions =
			// new HashMap<>();
			// Map<SymbolicExpression, SymbolicExpression>
			// oldToNewHeapObjectNames = new HashMap<>();
			// int nameId = 0;
			ImmutableDynamicScope[] newScopes = new ImmutableDynamicScope[numDyscopes];

			for (int dyscopeId = 0; dyscopeId < numDyscopes; dyscopeId++) {
				DynamicScope dyscope = theState.getDyscope(dyscopeId);
				SymbolicExpression heap = dyscope.getValue(0);

				if (heap.isNull())
					continue;
				else {
					SymbolicExpression newHeap = heap;
					SymbolicExpression heapPointer = this.symbolicUtil
							.makePointer(dyscopeId, 0,
									universe.identityReference());

					for (int mallocId = 0; mallocId < numHeapFields; mallocId++) {
						SymbolicExpression heapField = universe.tupleRead(heap,
								universe.intObject(mallocId));
						int length = this.symbolicUtil.extractInt(null,
								(NumericExpression) universe.length(heapField));
						ReferenceExpression fieldRef = universe
								.tupleComponentReference(
										universe.identityReference(),
										universe.intObject(mallocId));
						Map<Integer, Integer> oldID2NewID = new HashMap<>();
						int numRemoved = 0;
						SymbolicExpression newHeapField = heapField;
						boolean hasNew = false;

						for (int objectId = 0; objectId < length; objectId++) {
							ReferenceExpression objectRef = universe
									.arrayElementReference(fieldRef,
											universe.integer(objectId));
							SymbolicExpression objectPtr = this.symbolicUtil
									.setSymRef(heapPointer, objectRef);

							if (!reachable.contains(objectPtr)) {
								SymbolicExpression heapObj = universe
										.arrayRead(heapField,
												universe.integer(objectId));

								if (!symbolicUtil.isInvalidHeapObject(heapObj)) {
									throw new CIVLStateException(
											ErrorKind.MEMORY_LEAK,
											Certainty.CONCRETE,
											"An unreachable object is dected in the heap of dyscope "
													+ dyscope.name() + "(id="
													+ dyscopeId + ")"
													+ ".\n  malloc ID: "
													+ mallocId
													+ "\n  called ID: "
													+ objectId, theState,
											dyscope.lexicalScope().getSource());
								}
								// unreachable heap object
								// updates refeferences
								for (int nextId = objectId + 1; nextId < length; nextId++) {
									if (oldID2NewID.containsKey(nextId))
										oldID2NewID.put(nextId,
												oldID2NewID.get(nextId) - 1);
									else
										oldID2NewID.put(nextId, nextId - 1);
								}
								// remove object
								hasNew = true;
								newHeapField = universe.removeElementAt(
										newHeapField, objectId - numRemoved);
								numRemoved++;
							}

							// else {// rename remaining heap objects
							// SymbolicExpression heapObject = universe
							// .arrayRead(heapField,
							// universe.integer(objectId));
							//
							// nameId = addOldToNewName(heapObject, nameId,
							// oldToNewExpressions);
							// }
						}
						if (oldID2NewID.size() > 0)
							addOldToNewHeapMemUnits(oldID2NewID, heapPointer,
									fieldRef, oldToNewHeapMemUnits);
						if (hasNew)
							newHeap = universe.tupleWrite(newHeap,
									universe.intObject(mallocId), newHeapField);
					}
					if (symbolicUtil.isEmptyHeap(newHeap))
						newHeap = universe.nullExpression();
					theState = this
							.setVariable(theState, 0, dyscopeId, newHeap);
				}
			}
			computeOldToNewHeapPointers(theState, oldToNewHeapMemUnits,
					oldToNewHeapMemUnits);
			for (int i = 0; i < numDyscopes; i++)
				newScopes[i] = theState.getDyscope(i).updateHeapPointers(
						oldToNewHeapMemUnits, universe);
			theState = theState.setScopes(newScopes);
			return theState;
		}
	}

	@Override
	public ImmutableState collectScopes(State state) throws CIVLStateException {
		ImmutableState theState = (ImmutableState) state;
		int oldNumScopes = theState.numDyscopes();
		int[] oldToNew = numberScopes(theState);
		boolean change = false;
		int newNumScopes = 0;

		for (int i = 0; i < oldNumScopes; i++) {
			int id = oldToNew[i];

			if (id >= 0)
				newNumScopes++;
			if (!change && id != i)
				change = true;
			if (id < 0) {
				ImmutableDynamicScope scopeToBeRemoved = theState.getDyscope(i);
				Variable heapVariable = scopeToBeRemoved.lexicalScope()
						.variable("__heap");
				SymbolicExpression heapValue = scopeToBeRemoved
						.getValue(heapVariable.vid());

				if (!(heapValue.isNull() || symbolicUtil.isEmptyHeap(heapValue))) {
					throw new CIVLStateException(ErrorKind.MEMORY_LEAK,
							Certainty.CONCRETE, "The unreachable dyscope "
									+ scopeToBeRemoved.name() + "(id=" + i
									+ ")" + " has a non-empty heap "
									+ heapValue.toString() + ".", state,
							heapVariable.getSource());
				}
			}
		}
		if (change) {
			Map<SymbolicExpression, SymbolicExpression> scopeSubMap = scopeSubMap(oldToNew);
			ImmutableDynamicScope[] newScopes = new ImmutableDynamicScope[newNumScopes];
			int numProcs = theState.numProcs();
			ImmutableProcessState[] newProcesses = new ImmutableProcessState[numProcs];

			for (int i = 0; i < oldNumScopes; i++) {
				int newId = oldToNew[i];

				if (newId >= 0) {
					ImmutableDynamicScope oldScope = theState.getDyscope(i);
					int oldParent = oldScope.getParent();
					int oldParentIdentifier = oldScope.identifier();

					newScopes[newId] = oldScope.updateDyscopeIds(scopeSubMap,
							universe, oldParent < 0 ? oldParent
									: oldToNew[oldParent], oldParentIdentifier);
				}
			}
			for (int pid = 0; pid < numProcs; pid++)
				newProcesses[pid] = theState.getProcessState(pid)
						.updateDyscopes(oldToNew);
			theState = ImmutableState.newState(theState, newProcesses,
					newScopes, null);
		}
		if (theState.numDyscopes() == 1
				&& theState.getProcessState(0).hasEmptyStack()) {
			// checks the memory leak for the final state
			DynamicScope dyscope = state.getDyscope(0);
			SymbolicExpression heap = dyscope.getValue(0);

			if (!symbolicUtil.isEmptyHeap(heap))
				throw new CIVLStateException(ErrorKind.MEMORY_LEAK,
						Certainty.CONCRETE,
						"The root dyscope d0 (id=0) has a non-empty heap "
								+ heap.toString()
								+ " upon termination of the program.", state,
						dyscope.lexicalScope().getSource());

		}
		return theState;
	}

	@Override
	public State getAtomicLock(State state, int pid) {
		Variable atomicVar = modelFactory.atomicLockVariableExpression()
				.variable();

		return this.setVariable(state, atomicVar.vid(), 0,
				modelFactory.processValue(pid));
	}

	@Override
	public long getNumStateInstances() {
		return ImmutableState.instanceCount - initialNumStateInstances;
	}

	@Override
	public int getNumStatesSaved() {
		return stateMap.size();
	}

	@Override
	public ImmutableState initialState(Model model) throws CIVLStateException {
		ImmutableState state = new ImmutableState(new ImmutableProcessState[0],
				new ImmutableDynamicScope[0], universe.trueExpression());
		CIVLFunction function = model.system();
		int numArgs = function.parameters().size();
		SymbolicExpression[] arguments = new SymbolicExpression[numArgs];
		Variable atomicVar = modelFactory.atomicLockVariableExpression()
				.variable();

		// TODO: how to initialize the arguments to system function?
		state = addProcess(state, function, arguments, -1);
		state = this.setVariable(state, atomicVar.vid(), 0,
				modelFactory.undefinedProcessValue());
		return canonic(state, false, false, false);
	}

	@Override
	public boolean isDescendantOf(State state, int ancestor, int descendant) {
		if (ancestor == descendant) {
			return false;
		} else {
			int parent = state.getParentId(descendant);

			while (parent >= 0) {
				if (ancestor == parent)
					return true;
				parent = state.getParentId(parent);
			}
		}
		return false;
	}

	@Override
	public boolean lockedByAtomic(State state) {
		SymbolicExpression symbolicAtomicPid = state.getVariableValue(0,
				modelFactory.atomicLockVariableExpression().variable().vid());
		int atomicPid = modelFactory.getProcessId(modelFactory.systemSource(),
				symbolicAtomicPid);

		return atomicPid >= 0;
	}

	@Override
	// TOOD: improve the performance: keep track of depth of dyscopes
	public int lowestCommonAncestor(State state, int one, int another) {
		if (one == another) {
			return one;
		} else {
			int parent = one;

			while (parent >= 0) {
				if (parent == another
						|| this.isDescendantOf(state, parent, another))
					return parent;
				parent = state.getParentId(parent);
			}
		}
		return state.rootDyscopeID();
	}

	@Override
	public ImmutableState popCallStack(State state, int pid) {
		ImmutableState theState = (ImmutableState) state;
		ImmutableProcessState process = theState.getProcessState(pid);
		ImmutableProcessState[] processArray = theState.copyProcessStates();
		ImmutableDynamicScope[] newScopes = theState.copyScopes();

		processArray[pid] = process.pop();
		setReachablesForProc(newScopes, processArray[pid]);
		theState = new ImmutableState(processArray, newScopes,
				theState.getPathCondition());
		return theState;
	}

	@Override
	public int processInAtomic(State state) {
		SymbolicExpression symbolicAtomicPid = state.getVariableValue(0,
				modelFactory.atomicLockVariableExpression().variable().vid());

		return modelFactory.getProcessId(modelFactory.systemSource(),
				symbolicAtomicPid);
	}

	@Override
	public ImmutableState pushCallStack(State state, int pid,
			CIVLFunction function, SymbolicExpression[] arguments) {
		return pushCallStack2((ImmutableState) state, pid, function, -1,
				arguments, pid);
	}

	@Override
	public State pushCallStack(State state, int pid, CIVLFunction function,
			int functionParentDyscope, SymbolicExpression[] arguments) {
		return pushCallStack2((ImmutableState) state, pid, function,
				functionParentDyscope, arguments, pid);
	}

	@Override
	public ImmutableState collectProcesses(State state) {
		ImmutableState theState = (ImmutableState) state;
		int numProcs = theState.numProcs();
		boolean change = false;
		int counter = 0;

		while (counter < numProcs) {
			if (theState.getProcessState(counter) == null) {
				change = true;
				break;
			}
			counter++;
		}
		if (change) {
			int newNumProcs = counter;
			int[] oldToNewPidMap = new int[numProcs];
			ImmutableProcessState[] newProcesses;
			ImmutableDynamicScope[] newScopes;

			for (int i = 0; i < counter; i++)
				oldToNewPidMap[i] = i;
			oldToNewPidMap[counter] = -1;
			for (int i = counter + 1; i < numProcs; i++) {
				if (theState.getProcessState(i) == null) {
					oldToNewPidMap[i] = -1;
				} else {
					oldToNewPidMap[i] = newNumProcs;
					newNumProcs++;
				}
			}
			newProcesses = new ImmutableProcessState[newNumProcs];
			for (int i = 0; i < numProcs; i++) {
				int newPid = oldToNewPidMap[i];

				if (newPid >= 0)
					newProcesses[newPid] = theState.getProcessState(i).setPid(
							newPid);
			}
			newScopes = updateProcessReferencesInScopes(theState,
					oldToNewPidMap);
			theState = ImmutableState.newState(theState, newProcesses,
					newScopes, null);
		}
		return theState;
	}

	@Override
	public State terminateProcess(State state, int pid) {
		ImmutableState theState = (ImmutableState) state;
		ImmutableProcessState emptyProcessState = new ImmutableProcessState(
				pid, state.getProcessState(pid).identifier());

		return theState.setProcessState(pid, emptyProcessState);
	}

	@Override
	public ImmutableState removeProcess(State state, int pid) {
		ImmutableState theState = (ImmutableState) state;

		theState = theState.setProcessState(pid, null);
		return theState;
	}

	@Override
	public State releaseAtomicLock(State state) {
		Variable atomicVar = modelFactory.atomicLockVariableExpression()
				.variable();

		return this.setVariable(state, atomicVar.vid(), 0,
				modelFactory.processValue(-1));
	}

	/**
	 * Procedure:
	 * 
	 * <ol>
	 * <li>get the current dynamic scope ds0 of the process. Let ss0 be the
	 * static scope associated to ds0.</li>
	 * <li>Let ss1 be the static scope of the new location to move to.</li>
	 * <li>Compute the join (youngest common ancestor) of ss0 and ss1. Also save
	 * the sequence of static scopes from join to ss1.</li>
	 * <li>Iterate UP over dynamic scopes from ds0 up (using parent field) to
	 * the first dynamic scope whose static scope is join.</li>
	 * <li>Iterate DOWN from join to ss1, creating NEW dynamic scopes along the
	 * way.</li>
	 * <li>Set the frame pointer to the new dynamic scope corresponding to ss1,
	 * and set the location to the given location.</li>
	 * <li>Remove all unreachable scopes.</li>
	 * </ol>
	 * 
	 * @param state
	 * @param pid
	 * @param location
	 * @return
	 */
	@Override
	public ImmutableState setLocation(State state, int pid, Location location) {
		ImmutableState theState = (ImmutableState) state;
		ImmutableProcessState[] processArray = theState.copyProcessStates();
		int dynamicScopeId = theState.getProcessState(pid).getDyscopeId();
		ImmutableDynamicScope dynamicScope = theState
				.getDyscope(dynamicScopeId);
		int dynamicScopeIdentifier = dynamicScope.identifier();
		Scope ss0 = dynamicScope.lexicalScope();
		Scope ss1 = location.scope();

		if (ss0 == ss1) {
			processArray[pid] = theState.getProcessState(pid)
					.replaceTop(
							stackEntry(location, dynamicScopeId,
									dynamicScopeIdentifier));
			return theState.setProcessStates(processArray);
		} else {
			Scope[] joinSequence = joinSequence(ss0, ss1);
			Scope join = joinSequence[0];

			// iterate UP...
			while (dynamicScope.lexicalScope() != join) {
				dynamicScopeId = theState.getParentId(dynamicScopeId);
				if (dynamicScopeId < 0)
					throw new RuntimeException("State is inconsistent");
				dynamicScope = theState.getDyscope(dynamicScopeId);
				dynamicScopeIdentifier = dynamicScope.identifier();
			}
			if (joinSequence.length == 1) {
				processArray[pid] = theState.getProcessState(pid).replaceTop(
						stackEntry(location, dynamicScopeId,
								dynamicScopeIdentifier));
				theState = theState.setProcessStates(processArray);
			} else {
				// iterate DOWN, adding new dynamic scopes...
				int oldNumScopes = theState.numDyscopes();
				int newNumScopes = oldNumScopes + joinSequence.length - 1;
				int index = 0;
				ImmutableDynamicScope[] newScopes = new ImmutableDynamicScope[newNumScopes];
				ImmutableProcessState process = processArray[pid];

				for (; index < oldNumScopes; index++)
					newScopes[index] = theState.getDyscope(index);
				for (int i = 1; i < joinSequence.length; i++) {
					// only this process can reach the new dyscope
					BitSet reachers = new BitSet(processArray.length);

					reachers.set(pid);
					newScopes[index] = initialDynamicScope(joinSequence[i],
							dynamicScopeId, dynamicScopeIdentifier, index,
							reachers);
					dynamicScopeId = index;
					index++;
				}
				process = process
						.replaceTop(stackEntry(location, dynamicScopeId,
								newScopes[dynamicScopeId].identifier()));
				setReachablesForProc(newScopes, process);
				processArray[pid] = process;
				theState = new ImmutableState(processArray, newScopes,
						theState.getPathCondition());
			}
			return theState;
		}
	}

	@Override
	public State setProcessState(State state, ProcessState p) {
		ImmutableState theState = (ImmutableState) state;
		ImmutableProcessState[] newProcesses;
		int pid = p.getPid();

		newProcesses = theState.copyProcessStates();
		newProcesses[pid] = (ImmutableProcessState) p;
		theState = theState.setProcessStates(newProcesses);
		return new ImmutableState(newProcesses, theState.copyScopes(),
				theState.getPathCondition());
	}

	@Override
	public ImmutableState setVariable(State state, int vid, int scopeId,
			SymbolicExpression value) {
		ImmutableState theState = (ImmutableState) state;
		ImmutableDynamicScope oldScope = (ImmutableDynamicScope) theState
				.getDyscope(scopeId);
		ImmutableDynamicScope[] newScopes = theState.copyScopes();
		SymbolicExpression[] newValues = oldScope.copyValues();
		ImmutableDynamicScope newScope;

		newValues[vid] = value;
		newScope = new ImmutableDynamicScope(oldScope.lexicalScope(),
				oldScope.getParent(), 0,// TODO oldScope.getParentIdentifier()
				newValues, oldScope.getReachers(), oldScope.identifier());
		newScopes[scopeId] = newScope;
		theState = theState.setScopes(newScopes);
		return theState;
	}

	@Override
	public ImmutableState setVariable(State state, Variable variable, int pid,
			SymbolicExpression value) {
		int scopeId = state.getDyscopeID(pid, variable);

		return setVariable(state, variable.vid(), scopeId, value);
	}

	@Override
	public ImmutableState simplify(State state) {
		ImmutableState theState = (ImmutableState) state;

		if (theState.simplifiedState != null)
			return theState.simplifiedState;
		else {
			int numScopes = theState.numDyscopes();
			BooleanExpression pathCondition = theState.getPathCondition();
			ImmutableDynamicScope[] newDynamicScopes = null;
			Reasoner reasoner = universe.reasoner(pathCondition);
			BooleanExpression newPathCondition;

			for (int i = 0; i < numScopes; i++) {
				ImmutableDynamicScope oldScope = theState.getDyscope(i);
				int numVars = oldScope.numberOfVariables();
				SymbolicExpression[] newVariableValues = null;

				for (int j = 0; j < numVars; j++) {
					SymbolicExpression oldValue = oldScope.getValue(j);
					SymbolicExpression newValue = reasoner.simplify(oldValue);

					if (oldValue != newValue && newVariableValues == null) {
						newVariableValues = new SymbolicExpression[numVars];
						for (int j2 = 0; j2 < j; j2++)
							newVariableValues[j2] = oldScope.getValue(j2);
					}
					if (newVariableValues != null)
						newVariableValues[j] = newValue;
				}
				if (newVariableValues != null && newDynamicScopes == null) {
					newDynamicScopes = new ImmutableDynamicScope[numScopes];
					for (int i2 = 0; i2 < i; i2++)
						newDynamicScopes[i2] = theState.getDyscope(i2);
				}
				if (newDynamicScopes != null)
					newDynamicScopes[i] = newVariableValues != null ? oldScope
							.setVariableValues(newVariableValues) : oldScope;
			}
			newPathCondition = reasoner.getReducedContext();
			if (newPathCondition != pathCondition) {
				if (nsat(newPathCondition))
					newPathCondition = universe.falseExpression();
			} else
				newPathCondition = null;
			if (newDynamicScopes != null || newPathCondition != null) {
				theState = ImmutableState.newState(theState, null,
						newDynamicScopes, newPathCondition);
				theState.simplifiedState = theState;
			}
			return theState;
		}
	}

	@Override
	public SymbolicUniverse symbolicUniverse() {
		return universe;
	}

	@Override
	public Pair<State, SymbolicExpression> malloc(State state, int dyscopeId,
			int mallocId, SymbolicExpression heapObject) {
		DynamicScope dyscope = state.getDyscope(dyscopeId);
		IntObject indexObj = universe.intObject(mallocId);
		SymbolicExpression heapValue = dyscope.getValue(0);
		SymbolicExpression heapField;
		SymbolicExpression heapAtomicObjectPtr;
		ReferenceExpression symRef;
		NumericExpression heapLength;

		if (heapValue.isNull())
			heapValue = modelFactory.heapType().getInitialValue();
		heapField = universe.tupleRead(heapValue, indexObj);
		heapLength = universe.length(heapField);
		heapField = universe.append(heapField, heapObject);
		heapValue = universe.tupleWrite(heapValue, indexObj, heapField);
		state = setVariable(state, 0, dyscopeId, heapValue);
		symRef = (ReferenceExpression) universe.canonic(universe
				.identityReference());
		symRef = universe.tupleComponentReference(symRef, indexObj);
		symRef = universe.arrayElementReference(symRef, heapLength);
		symRef = universe.arrayElementReference(symRef, universe.zeroInt());
		heapAtomicObjectPtr = symbolicUtil.makePointer(dyscopeId, 0, symRef);
		return new Pair<>(state, heapAtomicObjectPtr);
	}

	@Override
	public Pair<State, SymbolicExpression> malloc(State state, int pid,
			int dyscopeId, int mallocId, SymbolicType elementType,
			NumericExpression elementCount) {
		DynamicScope dyscope = state.getDyscope(dyscopeId);
		SymbolicExpression heapValue = dyscope.getValue(0).isNull() ? modelFactory
				.heapType().getInitialValue() : dyscope.getValue(0);
		IntObject index = universe.intObject(mallocId);
		SymbolicExpression heapField = universe.tupleRead(heapValue, index);
		int length = ((IntegerNumber) universe.extractNumber(universe
				.length(heapField))).intValue();
		StringObject heapObjectName = universe.stringObject("Hop" + pid + "s"
				+ dyscopeId + "f" + mallocId + "o" + length);
		SymbolicType heapObjectType = universe.arrayType(elementType,
				elementCount);
		SymbolicExpression heapObject = universe.symbolicConstant(
				heapObjectName, heapObjectType);

		return this.malloc(state, dyscopeId, mallocId, heapObject);
	}

	@Override
	public State deallocate(State state, SymbolicExpression heapObjectPointer,
			int dyscopeId, int mallocId, int index) {
		SymbolicExpression heapValue = state.getDyscope(dyscopeId).getValue(0);
		IntObject mallocIndex = universe.intObject(mallocId);
		SymbolicExpression heapField = universe.tupleRead(heapValue,
				mallocIndex);
		int heapFieldLength = ((IntegerNumber) universe.extractNumber(universe
				.length(heapField))).intValue();
		Map<SymbolicExpression, SymbolicExpression> oldToNewHeapMemUnits = new HashMap<>(
				heapFieldLength - index);
		Map<SymbolicExpression, SymbolicExpression> oldToNewHeapPointers = new HashMap<>();
		int numDyscopes = state.numDyscopes();
		ImmutableDynamicScope[] newScopes = new ImmutableDynamicScope[numDyscopes];
		ImmutableState theState = (ImmutableState) state;

		oldToNewHeapMemUnits.put(symbolicUtil.heapMemUnit(heapObjectPointer),
				this.symbolicUtil.undefinedPointer());
		heapField = universe.arrayWrite(heapField, universe.integer(index),
				symbolicUtil.invalidHeapObject(((SymbolicArrayType) heapField
						.type()).elementType()));
		heapValue = universe.tupleWrite(heapValue, mallocIndex, heapField);
		theState = this.setVariable(theState, 0, dyscopeId, heapValue);
		// computes all affected pointers' oldToNew map
		this.computeOldToNewHeapPointers(theState, oldToNewHeapMemUnits,
				oldToNewHeapPointers);
		for (int i = 0; i < numDyscopes; i++)
			newScopes[i] = theState.getDyscope(i).updateHeapPointers(
					oldToNewHeapPointers, universe);
		theState = theState.setScopes(newScopes);
		return theState;
	}

	/* *************************** Private Methods ************************* */

	/**
	 * Adds a new initial process state to the given state.
	 * 
	 * @param state
	 *            The old state.
	 * @return A new instance of state with only the process states changed.
	 */
	private ImmutableState createNewProcess(State state) {
		ImmutableState theState = (ImmutableState) state;
		int numProcs = theState.numProcs();
		ImmutableProcessState[] newProcesses;

		newProcesses = theState.copyAndExpandProcesses();
		newProcesses[numProcs] = new ImmutableProcessState(numProcs,
				this.processCount++);
		theState = theState.setProcessStates(newProcesses);
		return theState;
	}

	/**
	 * Returns the canonicalized version of the given state.
	 * 
	 * @param state
	 *            the old state
	 * @return the state equivalent to the given state and which is
	 *         canonicalized.
	 */
	private ImmutableState flyweight(State state) {
		ImmutableState theState = (ImmutableState) state;

		if (theState.isCanonic())
			return theState;
		else {
			ImmutableState result = stateMap.get(theState);

			if (result == null) {
				result = theState;
				result.makeCanonic(stateCount, universe, scopeMap, processMap);
				stateCount++;
				stateMap.put(result, result);
			}
			return result;
		}
	}

	/**
	 * Creates a dyscope in its initial state.
	 * 
	 * @param lexicalScope
	 *            The lexical scope corresponding to this dyscope.
	 * @param parent
	 *            The parent of this dyscope. -1 only for the topmost dyscope.
	 * @return A new dynamic scope.
	 */
	private ImmutableDynamicScope initialDynamicScope(Scope lexicalScope,
			int parent, int parentIdentifier, int dynamicScopeId,
			BitSet reachers) {
		return new ImmutableDynamicScope(lexicalScope, parent,
				parentIdentifier, initialValues(lexicalScope), reachers,
				this.dyscopeCount++);
	}

	/**
	 * Creates the initial value of a given lexical scope.
	 * 
	 * @param lexicalScope
	 *            The lexical scope whose variables are to be initialized.
	 * @return An array of initial values of variables of the given lexical
	 *         scope.
	 */
	private SymbolicExpression[] initialValues(Scope lexicalScope) {
		// TODO: special handling for input variables in root scope?
		SymbolicExpression[] values = new SymbolicExpression[lexicalScope
				.variables().size()];

		for (int i = 0; i < values.length; i++) {
			values[i] = universe.nullExpression();
		}
		return values;
	}

	// /**
	// * Checks if a heap is null or empty.
	// *
	// * @param heapValue
	// * The value of the heap to be checked.
	// * @return True iff the heap has null value or is empty.
	// */
	// private boolean isEmptyHeap(SymbolicExpression heapValue) {
	// if (heapValue.isNull())
	// return true;
	// else {
	// SymbolicSequence<?> heapFields = (SymbolicSequence<?>) heapValue
	// .argument(0);
	// int count = heapFields.size();
	//
	// for (int i = 0; i < count; i++) {
	// SymbolicExpression heapField = heapFields.get(i);
	// SymbolicSequence<?> heapFieldObjets = (SymbolicSequence<?>) heapField
	// .argument(0);
	// int size = heapFieldObjets.size();
	//
	// for (int j = 0; j < size; j++) {
	// SymbolicExpression heapFieldObj = heapFieldObjets.get(j);
	// SymbolicObject heapFieldObjValue = heapFieldObj.argument(0);
	//
	// if (heapFieldObjValue.symbolicObjectKind() == SymbolicObjectKind.STRING)
	// {
	// String value = ((StringObject) heapFieldObjValue)
	// .getString();
	//
	// if (value.equals("UNDEFINED"))
	// continue;
	// }
	// return false;
	// }
	// }
	// }
	// return true;
	// }

	/**
	 * Given two static scopes, this method computes a non-empty sequence of
	 * scopes with the following properties:
	 * <ul>
	 * <li>The first (0-th) element of the sequence is the join of scope1 and
	 * scope2.</li>
	 * <li>The last element is scope2.</li>
	 * <li>For each i (0<=i<length-1), the i-th element is the parent of the
	 * (i+1)-th element.</li>
	 * </ul>
	 * 
	 * @param scope1
	 *            a static scope
	 * @param scope2
	 *            a static scope
	 * @return join sequence as described above
	 * 
	 * @exception IllegalArgumentException
	 *                if the scopes do not have a common ancestor
	 */
	private Scope[] joinSequence(Scope scope1, Scope scope2) {
		if (scope1 == scope2)
			return new Scope[] { scope2 };
		for (Scope scope1a = scope1; scope1a != null; scope1a = scope1a
				.parent())
			for (Scope scope2a = scope2; scope2a != null; scope2a = scope2a
					.parent())
				if (scope1a.equals(scope2a)) {
					Scope join = scope2a;
					int length = 1;
					Scope[] result;
					Scope s;

					for (s = scope2; s != join; s = s.parent())
						length++;
					result = new Scope[length];
					s = scope2;
					for (int i = length - 1; i >= 0; i--) {
						result[i] = s;
						s = s.parent();
					}
					return result;
				}
		throw new IllegalArgumentException("No common scope:\n" + scope1 + "\n"
				+ scope2);
	}

	/**
	 * Numbers the reachable dynamic scopes in a state in a canonical way.
	 * Scopes are numbered from 0 up, in the order in which they are encountered
	 * by iterating over the processes by increasing ID, iterating over the
	 * process' call stack frames from index 0 up, iterating over the parent
	 * scopes from the scope referenced by the frame.
	 * 
	 * Unreachable scopes are assigned the number -1.
	 * 
	 * Returns an array which of length numScopes in which the element at
	 * position i is the new ID number for the scope whose old ID number is i.
	 * Does not modify anything.
	 * 
	 * @param state
	 *            a state
	 * @return an array mapping old scope IDs to new.
	 */
	private int[] numberScopes(ImmutableState state) {
		int numScopes = state.numDyscopes();
		int numProcs = state.numProcs();
		int[] oldToNew = new int[numScopes];
		int nextScopeId = 1;

		// the root dyscope is forced to be 0
		oldToNew[0] = 0;
		for (int i = 1; i < numScopes; i++)
			oldToNew[i] = -1;
		for (int pid = 0; pid < numProcs; pid++) {
			ImmutableProcessState process = state.getProcessState(pid);
			int stackSize;

			if (process == null)
				continue;
			stackSize = process.stackSize();
			// start at bottom of stack so system scope in proc 0
			// is reached first
			for (int i = stackSize - 1; i >= 0; i--) {
				int dynamicScopeId = process.getStackEntry(i).scope();

				while (oldToNew[dynamicScopeId] < 0) {
					oldToNew[dynamicScopeId] = nextScopeId;
					nextScopeId++;
					dynamicScopeId = state.getParentId(dynamicScopeId);
					if (dynamicScopeId < 0)
						break;
				}
			}
		}
		return oldToNew;
	}

	/**
	 * Checks if a given claim is not satisfiable.
	 * 
	 * @param claim
	 *            The given claim.
	 * @return True iff the given claim is evaluated to be false.
	 */
	private boolean nsat(BooleanExpression claim) {
		return trueReasoner.isValid(universe.not(claim));
	}

	/**
	 * Creates a map of process value's according to PID map from old PID to new
	 * PID.
	 * 
	 * @param oldToNewPidMap
	 *            The map of old PID to new PID, i.e, oldToNewPidMap[old PID] =
	 *            new PID.
	 * @return The map of process value's from old process value to new process
	 *         value.
	 */
	private Map<SymbolicExpression, SymbolicExpression> procSubMap(
			int[] oldToNewPidMap) {
		int size = oldToNewPidMap.length;
		Map<SymbolicExpression, SymbolicExpression> result = new HashMap<SymbolicExpression, SymbolicExpression>(
				size);

		for (int i = 0; i < size; i++) {
			SymbolicExpression oldVal = modelFactory.processValue(i);
			SymbolicExpression newVal = modelFactory
					.processValue(oldToNewPidMap[i]);

			result.put(oldVal, newVal);
		}
		return result;
	}

	/**
	 * General method for pushing a frame onto a call stack, whether or not the
	 * call stack is for a new process (and therefore empty).
	 * 
	 * @param state
	 *            the initial state
	 * @param pid
	 *            the PID of the process whose stack is to be modified; this
	 *            stack may be empty
	 * @param function
	 *            the called function that will be pushed onto the stack
	 * @param functionParentDyscope
	 *            The dyscope ID of the parent of the new function
	 * @param arguments
	 *            the arguments to the function
	 * @param callerPid
	 *            the PID of the process that is creating the new frame. For an
	 *            ordinary function call, this will be the same as pid. For a
	 *            "spawn" command, callerPid will be different from pid and
	 *            process pid will be new and have an empty stack. Exception: if
	 *            callerPid is -1 then the new dynamic scope will have no
	 *            parent; this is used for pushing the original system function,
	 *            which has no caller
	 * @return new stack with new frame on call stack of process pid
	 */
	private ImmutableState pushCallStack2(ImmutableState state, int pid,
			CIVLFunction function, int functionParentDyscope,
			SymbolicExpression[] arguments, int callerPid) {
		Scope containingStaticScope = function.containingScope();
		Scope functionStaticScope = function.outerScope();
		ImmutableProcessState[] newProcesses = state.copyProcessStates();
		int numScopes = state.numDyscopes();
		SymbolicExpression[] values;
		ImmutableDynamicScope[] newScopes;
		int sid;
		int containingDynamicScopeId = functionParentDyscope, containingDynamicScopeIdentifier;
		BitSet bitSet = new BitSet(newProcesses.length);

		if (containingDynamicScopeId < 0)
			if (callerPid >= 0) {
				ProcessState caller = state.getProcessState(callerPid);
				ImmutableDynamicScope containingDynamicScope;

				if (caller.stackSize() == 0)
					throw new IllegalArgumentException(
							"Calling process has empty stack: " + callerPid);
				containingDynamicScopeId = caller.getDyscopeId();
				while (containingDynamicScopeId >= 0) {
					containingDynamicScope = (ImmutableDynamicScope) state
							.getDyscope(containingDynamicScopeId);
					if (containingStaticScope == containingDynamicScope
							.lexicalScope())
						break;
					containingDynamicScopeId = state
							.getParentId(containingDynamicScopeId);
				}
				if (containingDynamicScopeId < 0)
					throw new IllegalArgumentException(
							"Called function not visible:\nfunction: "
									+ function + "\npid: " + pid
									+ "\ncallerPid:" + callerPid
									+ "\narguments: "
									+ Arrays.toString(arguments));
			} else {
				containingDynamicScopeId = -1;
			}
		newScopes = state.copyAndExpandScopes();
		sid = numScopes;
		values = initialValues(functionStaticScope);
		for (int i = 0; i < arguments.length; i++)
			if (arguments[i] != null)
				values[i + 1] = arguments[i];
		bitSet.set(pid);
		if (containingDynamicScopeId < 0)
			containingDynamicScopeIdentifier = -1;
		else
			containingDynamicScopeIdentifier = newScopes[containingDynamicScopeId]
					.identifier();
		newScopes[sid] = new ImmutableDynamicScope(functionStaticScope,
				containingDynamicScopeId, containingDynamicScopeIdentifier,
				values, bitSet, this.dyscopeCount++);
		{
			int id = containingDynamicScopeId;
			ImmutableDynamicScope scope;

			while (id >= 0) {
				scope = newScopes[id];
				bitSet = newScopes[id].getReachers();
				if (bitSet.get(pid))
					break;
				bitSet = (BitSet) bitSet.clone();
				bitSet.set(pid);
				newScopes[id] = scope.setReachers(bitSet);
				id = scope.getParent();
			}
		}
		newProcesses[pid] = state.getProcessState(pid).push(
				stackEntry(null, sid, newScopes[sid].identifier()));
		state = new ImmutableState(newProcesses, newScopes,
				state.getPathCondition());
		state = setLocation(state, pid, function.startLocation());
		return state;
	}

	/**
	 * Creates a map of scope value's according to the given dyscope map from
	 * old dyscope ID to new dyscope ID.
	 * 
	 * @param oldToNewSidMap
	 *            The map of old dyscope ID to new dyscoep ID, i.e,
	 *            oldToNewSidMap[old dyscope ID] = new dyscope ID.
	 * @return The map of scope value's from old scope value to new scope value.
	 */
	private Map<SymbolicExpression, SymbolicExpression> scopeSubMap(
			int[] oldToNewSidMap) {
		int size = oldToNewSidMap.length;
		Map<SymbolicExpression, SymbolicExpression> result = new HashMap<SymbolicExpression, SymbolicExpression>(
				size);

		for (int i = 0; i < size; i++) {
			SymbolicExpression oldVal = modelFactory.scopeValue(i);
			SymbolicExpression newVal = modelFactory
					.scopeValue(oldToNewSidMap[i]);

			result.put(oldVal, newVal);
		}
		return result;
	}

	/**
	 * Given an array of dynamic scopes and a process state, computes the actual
	 * dynamic scopes reachable from that process and modifies the array as
	 * necessary by replacing a dynamic scope with a scope that is equivalent
	 * except for the corrected bit set.
	 * 
	 * @param dynamicScopes
	 *            an array of dynamic scopes, to be modified
	 * @param process
	 *            a process state
	 */
	private void setReachablesForProc(ImmutableDynamicScope[] dynamicScopes,
			ImmutableProcessState process) {
		int stackSize = process.stackSize();
		int numScopes = dynamicScopes.length;
		boolean reached[] = new boolean[numScopes];
		int pid = process.getPid();

		for (int i = 0; i < stackSize; i++) {
			StackEntry frame = process.getStackEntry(i);
			int id = frame.scope();

			while (id >= 0) {
				if (reached[id])
					break;
				reached[id] = true;
				id = dynamicScopes[id].getParent();
			}
		}
		for (int j = 0; j < numScopes; j++) {
			ImmutableDynamicScope scope = dynamicScopes[j];
			BitSet bitSet = scope.getReachers();

			if (bitSet.get(pid) != reached[j]) {
				BitSet newBitSet = (BitSet) bitSet.clone();

				newBitSet.flip(pid);
				dynamicScopes[j] = dynamicScopes[j].setReachers(newBitSet);
			}
		}
	}

	/**
	 * Create a new call stack entry.
	 * 
	 * @param location
	 *            The location to go to after returning from this call.
	 * @param scope
	 *            The dynamic scope the process is in before the call.
	 * @param dyscopeIdentifier
	 *            The identifier of the dynamic scope that the process is in
	 *            before the call.
	 */
	private ImmutableStackEntry stackEntry(Location location, int scope,
			int dyscopeIdentifier) {
		return new ImmutableStackEntry(location, scope, dyscopeIdentifier);
	}

	/**
	 * Given a BitSet indexed by process IDs, and a map of old PIDs to new PIDs,
	 * returns a BitSet equivalent to original but indexed using the new PIDs.
	 * 
	 * If no changes are made, the original BitSet (oldBitSet) is returned.
	 * 
	 * @param oldBitSet
	 * @param oldToNewPidMap
	 *            array of length state.numProcs in which element at index i is
	 *            the new PID of the process whose old PID is i. A negative
	 *            value indicates that the process of (old) PID i is to be
	 *            removed.
	 * @return
	 */
	private BitSet updateBitSet(BitSet oldBitSet, int[] oldToNewPidMap) {
		BitSet newBitSet = null;
		int length = oldBitSet.length();

		for (int i = 0; i < length; i++) {
			boolean flag = oldBitSet.get(i);

			if (flag) {
				int newIndex = oldToNewPidMap[i];

				if (newIndex >= 0) {
					if (newBitSet == null)
						newBitSet = new BitSet(length);
					newBitSet.set(newIndex);
				}
			}
		}
		if (newBitSet == null)
			return oldBitSet;
		return newBitSet;
	}

	/**
	 * Searches the dynamic scopes in the given state for any process reference
	 * value, and returns a new array of scopes equivalent to the old except
	 * that those process reference values have been replaced with new specified
	 * values. Used for garbage collection and canonicalization of PIDs.
	 * 
	 * Also updates the reachable BitSet in each DynamicScope: create a new
	 * BitSet called newReachable. iterate over all entries in old BitSet
	 * (reachable). If old entry is position i is true, set oldToNewPidMap[i] to
	 * true in newReachable (assuming oldToNewPidMap[i]>=0).
	 * 
	 * The method returns null if no changes were made.
	 * 
	 * @param state
	 *            a state
	 * @param oldToNewPidMap
	 *            array of length state.numProcs in which element at index i is
	 *            the new PID of the process whose old PID is i. A negative
	 *            value indicates that the process of (old) PID i is to be
	 *            removed.
	 * @return new dyanmic scopes or null
	 */
	private ImmutableDynamicScope[] updateProcessReferencesInScopes(
			ImmutableState state, int[] oldToNewPidMap) {
		Map<SymbolicExpression, SymbolicExpression> procSubMap = procSubMap(oldToNewPidMap);
		ImmutableDynamicScope[] newScopes = null;
		int numScopes = state.numDyscopes();

		for (int i = 0; i < numScopes; i++) {
			ImmutableDynamicScope dynamicScope = state.getDyscope(i);
			Scope staticScope = dynamicScope.lexicalScope();
			Collection<Variable> procrefVariableIter = staticScope
					.variablesWithProcrefs();
			SymbolicExpression[] newValues = null;
			BitSet oldBitSet = dynamicScope.getReachers();
			BitSet newBitSet = updateBitSet(oldBitSet, oldToNewPidMap);

			for (Variable variable : procrefVariableIter) {
				int vid = variable.vid();
				SymbolicExpression oldValue = dynamicScope.getValue(vid);
				SymbolicExpression newValue = universe.substitute(oldValue,
						procSubMap);

				if (oldValue != newValue) {
					if (newValues == null)
						newValues = dynamicScope.copyValues();
					newValues[vid] = newValue;
				}
			}
			if (newValues != null || newBitSet != oldBitSet) {
				if (newScopes == null) {
					newScopes = new ImmutableDynamicScope[numScopes];
					for (int j = 0; j < i; j++)
						newScopes[j] = state.getDyscope(j);
				}
				if (newValues == null)
					newScopes[i] = dynamicScope.setReachers(newBitSet);
				else
					newScopes[i] = new ImmutableDynamicScope(staticScope,
							dynamicScope.getParent(), 0, newValues,// TODO
							newBitSet, dynamicScope.identifier());
			} else if (newScopes != null) {
				newScopes[i] = dynamicScope;
			}
		}
		return newScopes;
	}

	private Set<SymbolicExpression> reachableHeapObjectsOfState(State state) {
		Set<SymbolicExpression> reachable = new LinkedHashSet<>();
		int numDyscopes = state.numDyscopes();

		for (int i = 0; i < numDyscopes; i++) {
			DynamicScope dyscope = state.getDyscope(i);
			int numVars = dyscope.numberOfValues();

			for (int vid = 0; vid < numVars; vid++) {
				SymbolicExpression value = dyscope.getValue(vid);

				reachableHeapObjectsOfValue(state, value, reachable);
			}
		}
		return reachable;
	}

	@SuppressWarnings("incomplete-switch")
	private void reachableHeapObjectsOfValue(State state,
			SymbolicExpression value, Set<SymbolicExpression> reachable) {
		if (value.isNull())
			return;
		else if (!this.isPointer(value)) {
			int numArgs = value.numArguments();

			for (int i = 0; i < numArgs; i++) {
				SymbolicObject arg = value.argument(i);
				SymbolicObjectKind kind = arg.symbolicObjectKind();

				switch (kind) {
				case BOOLEAN:
				case INT:
				case NUMBER:
				case STRING:
				case CHAR:
				case TYPE:
				case TYPE_SEQUENCE:
					break;
				default:
					switch (kind) {
					case EXPRESSION:
						reachableHeapObjectsOfValue(state,
								(SymbolicExpression) arg, reachable);
						break;
					case EXPRESSION_COLLECTION: {
						Iterator<? extends SymbolicExpression> iter = ((SymbolicCollection<?>) arg)
								.iterator();

						while (iter.hasNext()) {
							SymbolicExpression expr = iter.next();

							reachableHeapObjectsOfValue(state, expr, reachable);
						}
					}
					}
				}
			}
		} else if (value.operator() != SymbolicOperator.CONCRETE) {
			return;
		} else if (symbolicUtil.isHeapPointer(value)) {
			SymbolicExpression heapObjPtr = this.symbolicUtil
					.heapMemUnit(value);

			if (!reachable.contains(heapObjPtr))
				reachable.add(heapObjPtr);
		} else if (this.symbolicUtil.isValidPointer(value)) {
			// other pointers
			int dyscopeId = this.symbolicUtil.getDyscopeId(null, value);
			int vid = this.symbolicUtil.getVariableId(null, value);
			ReferenceExpression reference = this.symbolicUtil.getSymRef(value);
			SymbolicExpression varValue = state
					.getVariableValue(dyscopeId, vid);
			SymbolicExpression objectValue;

			try {
				objectValue = this.universe.dereference(varValue, reference);
			} catch (SARLException e) {
				return;
			}
			reachableHeapObjectsOfValue(state, objectValue, reachable);
		}
	}

	private boolean isPointer(SymbolicExpression value) {
		if (value.type().equals(modelFactory.pointerSymbolicType()))
			return true;
		return false;
	}

	private boolean hasNonEmptyHeaps(State state) {
		int numDyscopes = state.numDyscopes();

		for (int dyscopeId = 0; dyscopeId < numDyscopes; dyscopeId++) {
			DynamicScope dyscope = state.getDyscope(dyscopeId);
			SymbolicExpression heap = dyscope.getValue(0);

			if (!heap.isNull())
				return true;
		}
		return false;
	}

	private void computeOldToNewHeapPointers(State state,
			Map<SymbolicExpression, SymbolicExpression> heapMemUnitsMap,
			Map<SymbolicExpression, SymbolicExpression> oldToNewExpressions) {
		if (heapMemUnitsMap.size() < 1)
			return;
		else {
			int numDyscopes = state.numDyscopes();

			for (int dyscopeID = 0; dyscopeID < numDyscopes; dyscopeID++) {
				DynamicScope dyscope = state.getDyscope(dyscopeID);
				int numVars = dyscope.numberOfValues();

				for (int vid = 0; vid < numVars; vid++) {
					computeNewHeapPointer(dyscope.getValue(vid),
							heapMemUnitsMap, oldToNewExpressions);
				}
			}
		}
	}

	@SuppressWarnings("incomplete-switch")
	private void computeNewHeapPointer(SymbolicExpression value,
			Map<SymbolicExpression, SymbolicExpression> heapMemUnitsMap,
			Map<SymbolicExpression, SymbolicExpression> oldToNewHeapPointers) {
		if (value.isNull())
			return;
		else if (!this.isPointer(value)) {
			int numArgs = value.numArguments();

			for (int i = 0; i < numArgs; i++) {
				SymbolicObject arg = value.argument(i);
				SymbolicObjectKind kind = arg.symbolicObjectKind();

				switch (kind) {
				case BOOLEAN:
				case INT:
				case NUMBER:
				case STRING:
				case CHAR:
				case TYPE:
				case TYPE_SEQUENCE:
					break;
				default:
					switch (kind) {
					case EXPRESSION:
						computeNewHeapPointer((SymbolicExpression) arg,
								heapMemUnitsMap, oldToNewHeapPointers);
						break;
					case EXPRESSION_COLLECTION: {
						Iterator<? extends SymbolicExpression> iter = ((SymbolicCollection<?>) arg)
								.iterator();

						while (iter.hasNext()) {
							SymbolicExpression expr = iter.next();

							computeNewHeapPointer(expr, heapMemUnitsMap,
									oldToNewHeapPointers);
						}
					}
					}
				}
			}
		} else if (symbolicUtil.isHeapPointer(value)) {
			SymbolicExpression heapObjPtr = this.symbolicUtil
					.heapMemUnit(value);
			SymbolicExpression newHeapObjPtr = heapMemUnitsMap.get(heapObjPtr);

			if (newHeapObjPtr != null
					&& !oldToNewHeapPointers.containsKey(value)) {
				if (symbolicUtil.isUndefinedPointer(newHeapObjPtr))
					oldToNewHeapPointers.put(value, newHeapObjPtr);
				else {
					ReferenceExpression ref = symbolicUtil
							.referenceToHeapMemUnit(value);
					SymbolicExpression newPointer = symbolicUtil.extendPointer(
							newHeapObjPtr, ref);

					oldToNewHeapPointers.put(value, newPointer);
				}
			}
		}
	}

	private void addOldToNewHeapMemUnits(Map<Integer, Integer> oldID2NewID,
			SymbolicExpression heapPointer, ReferenceExpression fieldRef,
			Map<SymbolicExpression, SymbolicExpression> oldToNewMap) {
		for (Map.Entry<Integer, Integer> entry : oldID2NewID.entrySet()) {
			ReferenceExpression oldRef = universe.arrayElementReference(
					fieldRef, universe.integer(entry.getKey()));
			SymbolicExpression oldPtr = this.symbolicUtil.setSymRef(
					heapPointer, oldRef);
			ReferenceExpression newRef = universe.arrayElementReference(
					fieldRef, universe.integer(entry.getValue()));
			SymbolicExpression newPtr = this.symbolicUtil.setSymRef(
					heapPointer, newRef);

			oldToNewMap.put(oldPtr, newPtr);
		}
	}

	/**
	 * Rename all symbolic constants of the state.
	 * 
	 * @param state
	 * @return
	 */
	private ImmutableState collectSymbolicConstants(State state,
			boolean collectHeaps) {
		ImmutableState theState = (ImmutableState) state;
		int numDyscopes = theState.numDyscopes();
		int nameId = 0;
		Map<SymbolicExpression, SymbolicExpression> oldName2NewName = new HashMap<>();
		int numHeapFields = this.modelFactory.heapType().getNumMallocs();

		for (int dyscopeId = 0; dyscopeId < numDyscopes; dyscopeId++) {
			ImmutableDynamicScope dyscope = theState.getDyscope(dyscopeId);
			Collection<Variable> variables = dyscope.lexicalScope()
					.varsNeedSymbolicConstant();

			for (Variable variable : variables) {
				int vid = variable.vid();
				SymbolicExpression value = dyscope.getValue(vid);

				// never renames input variables in the file scope
				if (value.isNull() || (dyscopeId == 0 && variable.isInput()))
					continue;
				if (vid == 0) {// heap
					if (collectHeaps)
						// only rename heap objects when the option
						// -collectHeaps is turned on
						for (int heapFieldId = 0; heapFieldId < numHeapFields; heapFieldId++) {
							SymbolicExpression heapField = universe.tupleRead(
									value, universe.intObject(heapFieldId));
							int length = this.symbolicUtil.extractInt(null,
									(NumericExpression) universe
											.length(heapField));

							for (int heapObjId = 0; heapObjId < length; heapObjId++) {
								SymbolicExpression heapObj = universe
										.arrayRead(heapField,
												universe.integer(heapObjId));

								nameId = this.addOldToNewName(heapObj, nameId,
										oldName2NewName);
							}
						}
				} else if (!variable.isInput()) {// normal variables
					nameId = this.addOldToNewName(value, nameId,
							oldName2NewName);
				}
			}
		}
		if (oldName2NewName.size() > 0) {
			int numProcs = theState.numProcs();
			ImmutableProcessState[] newProcesses = new ImmutableProcessState[numProcs];
			for (int i = 0; i < numProcs; i++) {
				newProcesses[i] = theState.getProcessState(i);
			}
			ImmutableDynamicScope[] newScopes = new ImmutableDynamicScope[numDyscopes];
			for (int dyscopeId = 0; dyscopeId < numDyscopes; dyscopeId++) {
				ImmutableDynamicScope oldScope = theState.getDyscope(dyscopeId);

				newScopes[dyscopeId] = oldScope.updateSymbolicConstants(
						oldName2NewName, universe);
			}
			BooleanExpression newPathCondition = (BooleanExpression) universe
					.substitute(theState.getPathCondition(), oldName2NewName);
			theState = ImmutableState.newState(theState, newProcesses,
					newScopes, newPathCondition);
		}
		return theState;
	}

	private int addOldToNewName(SymbolicExpression heapObject, int nameId,
			Map<SymbolicExpression, SymbolicExpression> oldToNewHeapObjectNames) {
		SymbolicConstant oldConstant = null;
		String prefix = "V";

		if (heapObject instanceof SymbolicConstant)
			oldConstant = (SymbolicConstant) heapObject;
		else {
			SymbolicObject arg0 = heapObject.argument(0);

			if (arg0 instanceof SymbolicConstant)
				oldConstant = (SymbolicConstant) arg0;
		}
		if (oldConstant != null) {
			String oldName = oldConstant.name().getString();
			String newName = prefix + nameId;

			if (!oldName.equals(newName)) {
				StringObject newNameString = universe.stringObject(newName);
				SymbolicConstant newConstant = universe.symbolicConstant(
						newNameString, oldConstant.type());

				oldToNewHeapObjectNames.put(oldConstant, newConstant);
				return nameId + 1;
			}
		}
		return nameId;
	}

}