rationals.transformations.Complement Maven / Gradle / Ivy
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/*______________________________________________________________________________
*
* Copyright 2005 Arnaud Bailly - NORSYS/LIFL
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
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* notice, this list of conditions and the following disclaimer.
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* (2) Redistributions in binary form must reproduce the above copyright
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* written permission.
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* THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
* IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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* Created on 5 avr. 2005
*
*/
package rationals.transformations;
import java.util.ArrayList;
import java.util.HashMap;
import java.util.HashSet;
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 transformation that computes the complement of an automaton.
*
* This transformation computes the complement of an automaton: Terminal states
* are inverted and missing transitions are added.
*
* @author nono
* @version $Id: Complement.java 2 2006-08-24 14:41:48Z oqube $
*/
public class Complement implements UnaryTransformation {
@Override
public Automaton transform(Automaton a) {
Automaton ret = new Automaton();
List todo = new ArrayList<>();
Map sm = new HashMap<>();
Set done = new HashSet<>();
Set s = a.initials();
todo.addAll(s);
while (!todo.isEmpty()) {
State st = todo.remove(0);
State ns = sm.get(st);
if (ns == null) {
ns = ret.addState(st.isInitial(), !st.isTerminal());
sm.put(st, ns);
}
done.add(st);
for (Object l : a.alphabet()) {
Set ends = a.delta(st, l);
if (ends.isEmpty())
ret.addTransition(new Transition(ns, l, ns),null);
else {
for (Iterator i = ends.iterator(); i.hasNext();) {
State end = i.next().end();
State ne = sm.get(end);
if (ne == null) {
ne = ret.addState(end.isInitial(), !end
.isTerminal());
sm.put(end, ne);
todo.add(end);
}
ret.addTransition(new Transition(ns, l, ne),null);
}
}
}
}
return ret;
}
}