package rationals.transformations; import java.util.ArrayList; import java.util.HashMap; import java.util.Iterator; import java.util.List; import java.util.Map; import java.util.Set; import rationals.Automaton; import rationals.State; import rationals.Transition; /** * A set of utility methods used in transformations of automaton. * * @author nono * @version $Id: TransformationsToolBox.java 10 2007-05-30 17:25:00Z oqube $ */ public class TransformationsToolBox { public static boolean containsATerminalState(Set s) { Iterator i = s.iterator() ; while(i.hasNext()) { try { State e = (State) i.next() ; if (e.isTerminal()) return true ; } catch(ClassCastException x) {} } return false ; } public static boolean containsAnInitialState(Set s) { Iterator i = s.iterator() ; while(i.hasNext()) { try { State e = (State) i.next() ; if (e.isInitial()) return true ; } catch(ClassCastException x) {} } return false ; } /** * Compute the set of states that are reachable ina given automanton * from a set of states using epsilon moves. * An epsilon transition is a transition which is labelled <code>null</code>. * * @param s the set of starting states * @param a the automaton * @return a - possibly empty - set of states reachable from <code>s</code> through * epsilon transitions. */ public static Set<State> epsilonClosure(Set<State> s, Automaton a) { Set<State> exp = a.getStateFactory().stateSet(); exp.addAll(s); /* set of states to visit */ Set<State> view = a.getStateFactory().stateSet(); /* set of states visited */ Set<State> arr = a.getStateFactory().stateSet(); /* the set of arrival states */ arr.addAll(s); do { Set<State> ns = a.getStateFactory().stateSet(); ns.addAll(exp); /* arrival states */ Iterator it = ns.iterator(); while (it.hasNext()) { State st = (State) it.next(); Iterator it2 = a.delta(st).iterator(); while (it2.hasNext()) { Transition tr = (Transition) it2.next(); if (tr.label() == null && !view.contains(tr.end()) && !tr.end().equals(st)) { /* compute closure of epsilon transitions */ exp.add(tr.end()); arr.add(tr.end()); } } exp.remove(st); view.add(st); } } while (!exp.isEmpty()); return arr; } /** * Compute a map from letters to set of states given * a set of transitions. * This method computes the arrival set of states for each letter * occuring in a given set of transitions. epsilon transitions * are not taken into account. * * @param ts a Set of Transition objects. * @return a Map from Object - transition labels - to Set of State objects. */ public static Map mapAlphabet(Set ts,Automaton a) { Map am = new HashMap(); List tas =new ArrayList(ts); /* compute set of states for each letter */ while (!tas.isEmpty()) { Transition tr = (Transition) tas.remove(0); Object l = tr.label(); if (l == null) continue; Set as = (Set) am.get(l); if (as == null) { as = a.getStateFactory().stateSet(); am.put(l, as); } as.add(tr.end()); } return am; } }