/** Get the SCCs for the NBA
* @return the SCCs
*/
public SCCs getSCCs()
{
if (_sccs == null)
{
_sccs = new SCCs();
GraphAlgorithms.calculateSCCs(_nba, _sccs, false, null);
}
return(_sccs);
}
/**
* Calculate the set of states that are accepting and have a true self loop.
*/
public void calculateAcceptingTrueLoops()
{
_accepting_true_loops = new BitSet();
//BitSet isAcceptingTrueLoop= *_accepting_true_loops;
BitSet isAcceptingTrueLoop = _accepting_true_loops;////////changed
SCCs sccs = getSCCs();
for (int scc = 0; scc < sccs.countSCCs(); ++scc)
{
if (sccs[scc].cardinality() == 1)
{
int state_id = sccs[scc].nextSetBit(0);
NBA_State state = _nba[state_id];
if (!state.isFinal())
{
// not final, consider next
continue;
}
if (!sccs.successors(scc).isEmpty())//////////note here
{
// there are edges leaving this state, consider next
continue;
}
bool no_empty_to = true;
if (sccs.stateIsReachable(state_id, state_id))
{
// state has at least one self-loop
// we have to check that there is no edge with empty To
//for (typename NBA_t::edge_iterator eit=state->edges_begin(); eit!=state->edges_end(); ++eit)
//BitSet[] edges = state._edge_manager._container._storage;
//foreach (BitSet eit in edges)
for (KeyValuePair <APElement, BitSet> eit = state.edges_begin(); !state.edges_end(); eit = state.increment())
{
BitSet edge = eit.Value;
if (edge.isEmpty())
{
// not all edges lead back to the state...
no_empty_to = false;
break;
}
}
if (no_empty_to)
{
// When we are here the state is a final true loop
isAcceptingTrueLoop.set(state_id);
// std::cerr << "True Loop: " << state_id << std::endl;
}
}
}
}
}
/** Constructor */
public SCC_DFS(NBA graph, SCCs result, APElement label) //
{
_graph = graph;
_result = result;
//_successor_access = successor_access;
_labelMark = label;
/** The DFS stack */
_stack = new Stack <int>();
/** The SCC_DFS_Data for every state (state index -> DFS_DATA) */
_dfs_data = new List <SCC_DFS_Data>();
}
/**
* Remove states from the set of accepting (final) states when this is redundant.
* @param sccs the SCCs of the NBA
*/
public void removeRedundantFinalStates(SCCs sccs)
{
for (int scc = 0; scc < sccs.countSCCs(); ++scc)
{
if (sccs[scc].cardinality() == 1)
{
int state_id = sccs[scc].nextSetBit(0);
NBA_State state = this[state_id];
if (state.isFinal())
{
if (!sccs.stateIsReachable(state_id, state_id))
{
// The state is final and has no self-loop
// -> the final flag is redundant
state.setFinal(false);
// std::cerr << "Removing final flag for " << state_id << std::endl;
}
}
}
}
}
/**
* Calculates BitSet which specifies which states in the NBA
* only have accepting successors.
*/
public void calculateStatesWithAllSuccAccepting()
{
_allSuccAccepting = new BitSet();
BitSet result = _allSuccAccepting;
SCCs sccs = getSCCs();
List <bool> scc_all_final = new List <bool>();
Ultility.resize(scc_all_final, sccs.countSCCs());
for (int i = 0; i < scc_all_final.Count; i++)
{
scc_all_final[i] = false;
}
for (int i = sccs.countSCCs(); i > 0; --i)
{
// go backward in topological order...
int scc = (sccs.topologicalOrder())[i - 1];
BitSet states_in_scc = sccs[scc];
// check to see if all states in this SCC are final
scc_all_final[scc] = true;
//for (BitSetIterator it=BitSetIterator(states_in_scc);it!=BitSetIterator::end(states_in_scc);++it)
for (int it = BitSetIterator.start(states_in_scc); it != BitSetIterator.end(states_in_scc); it = BitSetIterator.increment(states_in_scc, it))
{
if (!_nba[it].isFinal())
{
scc_all_final[scc] = false;
break;
}
}
bool might_be_final = false;
if (scc_all_final[scc] == false)
{
if (states_in_scc.length() == 1)
{
// there is only one state in this scc ...
int state = states_in_scc.nextSetBit(0);
if (sccs.stateIsReachable(state, state) == false)
{
// ... and it doesn't loop to itself
might_be_final = true;
}
}
}
if (scc_all_final[scc] == true || might_be_final)
{
// Check to see if all successors are final...
bool all_successors_are_final = true;
BitSet scc_succ = sccs.successors(scc);
//for (BitSetIterator it=BitSetIterator(scc_succ); it!=BitSetIterator::end(scc_succ); ++it) {
for (int it = BitSetIterator.start(scc_succ); it != BitSetIterator.end(scc_succ); it = BitSetIterator.increment(scc_succ, it))
{
if (!scc_all_final[it])
{
all_successors_are_final = false;
break;
}
}
if (all_successors_are_final)
{
// Add all states in this SCC to the result-set
result.Or(states_in_scc);
if (might_be_final)
{
scc_all_final[scc] = true;
}
}
}
}
}
/** Check if the NBA is empty.
* @return true iff the NBA has no accepting run.
*/
public bool emptinessCheck()
{
SCCs sccs = getSCCs();
#if VERBOSE
std::cerr << sccs << "\n";
std::cerr << " Reachability: " << std::endl;
std::vector <BitSet> *reachable = sccs.getReachabilityForAllStates();
for (unsigned int t = 0; t < reachable->size(); t++)
{
std::cerr << t << " -> " << (*reachable)[t] << std::endl;
}
delete reachable;
#endif
for (int scc = 0; scc < sccs.countSCCs(); ++scc)
{
BitSet states_in_scc = sccs[scc];
// check to see if there is an accepting state in this SCC
//for (BitSetIterator it=BitSetIterator(states_in_scc); it!=BitSetIterator::end(states_in_scc); ++it)
for (int it = BitSetIterator.start(states_in_scc); it != BitSetIterator.end(states_in_scc); it = BitSetIterator.increment(states_in_scc, it))
{
int state = it;
#if VERBOSE
std::cerr << "Considering state " << state << std::endl;
#endif
if (_nba[state].isFinal())
{
// check to see if this SCC is a trivial SCC (can't reach itself)
#if VERBOSE
std::cerr << " +final";
std::cerr << " " << states_in_scc.cardinality();
#endif
if (states_in_scc.cardinality() == 1)
{
// there is only one state in this scc ...
#if VERBOSE
std::cerr << " +single";
#endif
if (sccs.stateIsReachable(state, state) == false)
{
// ... and it doesn't loop to itself
// -> can not guarantee accepting run
#if VERBOSE
std::cerr << " -no_loop" << std::endl;
#endif
continue;
}
}
// if we are here, the SCC has more than 1 state or
// exactly one self-looping state
// -> accepting run
#if VERBOSE
std::cerr << "+acc" << std::endl;
#endif
// check that SCC can be reached from initial state
Debug.Assert(_nba.getStartState() != null);
if (sccs.stateIsReachable(_nba.getStartState().getName(), state))
{
#if VERBOSE
std::cerr << "Found accepting state = " << state << std::endl;
#endif
return(false);
}
#if VERBOSE
std::cerr << "Not reachable!" << std::endl;
#endif
continue;
}
}
}
return(true);
}
/** Calculate the stutter closure for the NBA, for all symbols.
* @param nba the NBA
*/
public static NBA stutter_closure(NBA nba)
{
APSet apset = nba.getAPSet_cp();
NBA nba_result_ptr = new NBA(apset);
NBA result = nba_result_ptr;
int element_count = apset.powersetSize();
Debug.Assert(nba.getStartState() != null);
int start_state = nba.getStartState().getName();
for (int i = 0; i < nba.size(); i++)
{
int st = result.nba_i_newState();
Debug.Assert(st == i);
if (st == start_state)
{
result.setStartState(result[st]);
}
if (nba[st].isFinal())
{
result[st].setFinal(true);
}
}
for (int i = 0; i < nba.size(); i++)
{
for (int j = 0; j < element_count; j++)
{
int st = result.nba_i_newState();
Debug.Assert(st == nba.size() + (i*element_count) + j);
result[st].addEdge(new APElement(j), result[i]);
result[st].addEdge(new APElement(j), result[st]);
}
}
List<List<BitSet>> reachable = new List<List<BitSet>>();
//reachable.resize(element_count);
Ultility.resize(reachable, element_count);
for (int j = 0; j < element_count; j++)
{
//NBAEdgeSuccessors edge_successor = new NBAEdgeSuccessors(new APElement(j));
SCCs scc = new SCCs();
GraphAlgorithms.calculateSCCs(nba, scc, true, new APElement(j)); //,edge_successor
reachable[j] = scc.getReachabilityForAllStates();
#if VERBOSE
std::cerr << "SCCs for " << APElement(j).toString(*apset) << std::endl;
std::cerr << scc << std::endl;
std::cerr << " Reachability: "<< std::endl;
std::vector<BitSet>& reach=*reachable[j];
for (unsigned int t=0; t < reach.size(); t++) {
std::cerr << t << " -> " << reach[t] << std::endl;
}
std::cerr << " ---\n";
#endif
}
for (int i = 0; i < nba.size(); i++)
{
NBA_State from = result[i];
for (int j = 0; j < element_count; j++)
{
BitSet result_to = new BitSet();
BitSet to = nba[i].getEdge(new APElement(j));
//for (BitSetIterator it=BitSetIterator(*to);it!=BitSetIterator::end(*to);++it)
for (int it = BitSetIterator.start(to); it != BitSetIterator.end(to); it = BitSetIterator.increment(to, it))
{
int to_state = it;
// We can go directly to the original state
result_to.set(to_state);
// We can also go to the corresponding stutter state instead
int stutter_state = nba.size() + (to_state*element_count) + j;
result_to.set(stutter_state);
// ... and then we can go directly to all the states that are j-reachable from to
result_to.Union(reachable[j][to_state]);
}
from.getEdge(new APElement(j)).Assign(result_to);
}
}
//for (int i=0; i<reachable.size(); ++i) {
// delete reachable[i];
// }
return nba_result_ptr;
}
/** Calculate the stutter closure for the NBA, for a certain symbol.
* @param nba the NBA
* @param label the symbol for which to perform the stutter closure
*/
public static NBA stutter_closure(NBA nba, APElement label)
{
APSet apset = nba.getAPSet_cp();
NBA nba_result_ptr = new NBA(apset);
NBA result = nba_result_ptr;
int element_count = apset.powersetSize();
Debug.Assert(nba.getStartState() != null);
int start_state = nba.getStartState().getName();
for (int i = 0; i < nba.size(); i++)
{
int st = result.nba_i_newState();
Debug.Assert(st == i);
if (st == start_state)
{
result.setStartState(result[st]);
}
if (nba[st].isFinal())
{
result[st].setFinal(true);
}
}
for (int i = 0; i < nba.size(); i++)
{
int st = result.nba_i_newState();
Debug.Assert(st == nba.size() + i);
result[st].addEdge(label, result[i]);
result[st].addEdge(label, result[st]);
}
//List<BitSet> reachable = null;
//NBAEdgeSuccessors edge_successor = new NBAEdgeSuccessors(label);
SCCs scc = new SCCs();
GraphAlgorithms.calculateSCCs(nba, scc, true, label); //,edge_successor
List<BitSet> reachable = scc.getReachabilityForAllStates();
// std::cerr << "SCCs for " << label.toString(*apset) << std::endl;
// std::cerr << scc << std::endl;
// std::cerr << " Reachability: "<< std::endl;
// for (unsigned int t=0; t < reachable->size(); t++) {
// std::cerr << t << " -> " << (*reachable)[t] << std::endl;
// }
// std::cerr << " ---\n";
for (int i = 0; i < nba.size(); i++)
{
NBA_State from = result[i];
for (int j = 0; j < element_count; j++)
{
BitSet result_to = new BitSet();
BitSet to = nba[i].getEdge(new APElement(j));
if (j != label.bitset)
{
result_to = to;
}
else
{
//for (BitSetIterator it=BitSetIterator(*to);it!=BitSetIterator::end(*to);++it)
for (int it = BitSetIterator.start(to); it != BitSetIterator.end(to); it = BitSetIterator.increment(to, it))
{
int to_state = it;
// We can go directly to the original state
result_to.set(to_state);
// We can also go to the corresponding stutter state instead
int stutter_state = nba.size() + to_state;
result_to.set(stutter_state);
// ... and then we can go directly to all the states that are j-reachable from to
result_to.Union(reachable[to_state]);
}
}
from.getEdge(new APElement(j)).Assign(result_to);
}
}
//delete reachable;
return nba_result_ptr;
}
/** Calculate the stutter closure for the NBA, for a certain symbol.
* @param nba the NBA
* @param label the symbol for which to perform the stutter closure
*/
public static NBA stutter_closure(NBA nba, APElement label)
{
APSet apset = nba.getAPSet_cp();
NBA nba_result_ptr = new NBA(apset);
NBA result = nba_result_ptr;
int element_count = apset.powersetSize();
Debug.Assert(nba.getStartState() != null);
int start_state = nba.getStartState().getName();
for (int i = 0; i < nba.size(); i++)
{
int st = result.nba_i_newState();
Debug.Assert(st == i);
if (st == start_state)
{
result.setStartState(result[st]);
}
if (nba[st].isFinal())
{
result[st].setFinal(true);
}
}
for (int i = 0; i < nba.size(); i++)
{
int st = result.nba_i_newState();
Debug.Assert(st == nba.size() + i);
result[st].addEdge(label, result[i]);
result[st].addEdge(label, result[st]);
}
//List<BitSet> reachable = null;
//NBAEdgeSuccessors edge_successor = new NBAEdgeSuccessors(label);
SCCs scc = new SCCs();
GraphAlgorithms.calculateSCCs(nba, scc, true, label); //,edge_successor
List <BitSet> reachable = scc.getReachabilityForAllStates();
// std::cerr << "SCCs for " << label.toString(*apset) << std::endl;
// std::cerr << scc << std::endl;
// std::cerr << " Reachability: "<< std::endl;
// for (unsigned int t=0; t < reachable->size(); t++) {
// std::cerr << t << " -> " << (*reachable)[t] << std::endl;
// }
// std::cerr << " ---\n";
for (int i = 0; i < nba.size(); i++)
{
NBA_State from = result[i];
for (int j = 0; j < element_count; j++)
{
BitSet result_to = new BitSet();
BitSet to = nba[i].getEdge(new APElement(j));
if (j != label.bitset)
{
result_to = to;
}
else
{
//for (BitSetIterator it=BitSetIterator(*to);it!=BitSetIterator::end(*to);++it)
for (int it = BitSetIterator.start(to); it != BitSetIterator.end(to); it = BitSetIterator.increment(to, it))
{
int to_state = it;
// We can go directly to the original state
result_to.set(to_state);
// We can also go to the corresponding stutter state instead
int stutter_state = nba.size() + to_state;
result_to.set(stutter_state);
// ... and then we can go directly to all the states that are j-reachable from to
result_to.Union(reachable[to_state]);
}
}
from.getEdge(new APElement(j)).Assign(result_to);
}
}
//delete reachable;
return(nba_result_ptr);
}
/** Calculate the stutter closure for the NBA, for all symbols.
* @param nba the NBA
*/
public static NBA stutter_closure(NBA nba)
{
APSet apset = nba.getAPSet_cp();
NBA nba_result_ptr = new NBA(apset);
NBA result = nba_result_ptr;
int element_count = apset.powersetSize();
Debug.Assert(nba.getStartState() != null);
int start_state = nba.getStartState().getName();
for (int i = 0; i < nba.size(); i++)
{
int st = result.nba_i_newState();
Debug.Assert(st == i);
if (st == start_state)
{
result.setStartState(result[st]);
}
if (nba[st].isFinal())
{
result[st].setFinal(true);
}
}
for (int i = 0; i < nba.size(); i++)
{
for (int j = 0; j < element_count; j++)
{
int st = result.nba_i_newState();
Debug.Assert(st == nba.size() + (i * element_count) + j);
result[st].addEdge(new APElement(j), result[i]);
result[st].addEdge(new APElement(j), result[st]);
}
}
List <List <BitSet> > reachable = new List <List <BitSet> >();
//reachable.resize(element_count);
Ultility.resize(reachable, element_count);
for (int j = 0; j < element_count; j++)
{
//NBAEdgeSuccessors edge_successor = new NBAEdgeSuccessors(new APElement(j));
SCCs scc = new SCCs();
GraphAlgorithms.calculateSCCs(nba, scc, true, new APElement(j)); //,edge_successor
reachable[j] = scc.getReachabilityForAllStates();
#if VERBOSE
std::cerr << "SCCs for " << APElement(j).toString(*apset) << std::endl;
std::cerr << scc << std::endl;
std::cerr << " Reachability: " << std::endl;
std::vector <BitSet>& reach = *reachable[j];
for (unsigned int t = 0; t < reach.size(); t++)
{
std::cerr << t << " -> " << reach[t] << std::endl;
}
std::cerr << " ---\n";
#endif
}
for (int i = 0; i < nba.size(); i++)
{
NBA_State from = result[i];
for (int j = 0; j < element_count; j++)
{
BitSet result_to = new BitSet();
BitSet to = nba[i].getEdge(new APElement(j));
//for (BitSetIterator it=BitSetIterator(*to);it!=BitSetIterator::end(*to);++it)
for (int it = BitSetIterator.start(to); it != BitSetIterator.end(to); it = BitSetIterator.increment(to, it))
{
int to_state = it;
// We can go directly to the original state
result_to.set(to_state);
// We can also go to the corresponding stutter state instead
int stutter_state = nba.size() + (to_state * element_count) + j;
result_to.set(stutter_state);
// ... and then we can go directly to all the states that are j-reachable from to
result_to.Union(reachable[j][to_state]);
}
from.getEdge(new APElement(j)).Assign(result_to);
}
}
//for (int i=0; i<reachable.size(); ++i) {
// delete reachable[i];
// }
return(nba_result_ptr);
}
//, SuccessorAccess& successor_access
/** Calculate the SCCs for Graph graph and save in result. */
public static void calculateSCCs(NBA graph, SCCs result, bool disjoint, APElement label)
{
SCC_DFS scc_dfs = new SCC_DFS(graph, result, label);
scc_dfs.calculate(disjoint);
}
/** Calculate the SCCs for Graph graph and save in result. */
//public static void calculateSCCs(NBA graph, SCCs result)
//{
// calculateSCCs(graph, result, false);
//}
/** Calculate the SCCs for Graph graph and save in result. */
public static void calculateSCCs(NBA graph, SCCs result, bool disjoint, APElement label)
{
// =false, SuccessorAccess successor_access=SuccessorAccess()
SCC_DFS.calculateSCCs(graph, result, disjoint, label); //, successor_access
}
//
/** Constructor */
public SCC_DFS(NBA graph, SCCs result, APElement label)
{
_graph = graph;
_result = result;
//_successor_access = successor_access;
_labelMark = label;
/** The DFS stack */
_stack = new Stack<int>();
/** The SCC_DFS_Data for every state (state index -> DFS_DATA) */
_dfs_data = new List<SCC_DFS_Data>();
}
/**
* Remove states from the set of accepting (final) states when this is redundant.
* @param sccs the SCCs of the NBA
*/
public void removeRedundantFinalStates(SCCs sccs)
{
for (int scc = 0; scc < sccs.countSCCs(); ++scc)
{
if (sccs[scc].cardinality() == 1)
{
int state_id = sccs[scc].nextSetBit(0);
NBA_State state = this[state_id];
if (state.isFinal())
{
if (!sccs.stateIsReachable(state_id, state_id))
{
// The state is final and has no self-loop
// -> the final flag is redundant
state.setFinal(false);
// std::cerr << "Removing final flag for " << state_id << std::endl;
}
}
}
}
}
/** Calculate the SCCs for Graph graph and save in result. */
public static void calculateSCCs(NBA graph, SCCs result, bool disjoint, APElement label) //, SuccessorAccess& successor_access
{
SCC_DFS scc_dfs = new SCC_DFS(graph, result, label);
scc_dfs.calculate(disjoint);
}
/** Calculate the SCCs for Graph graph and save in result. */
//public static void calculateSCCs(NBA graph, SCCs result)
//{
// calculateSCCs(graph, result, false);
//}
/** Calculate the SCCs for Graph graph and save in result. */
public static void calculateSCCs(NBA graph, SCCs result, bool disjoint, APElement label)
{ // =false, SuccessorAccess successor_access=SuccessorAccess()
SCC_DFS.calculateSCCs(graph, result, disjoint, label); //, successor_access
}
