public void DfaTest1()
{
char[] alphabet = { 'a', 'b' };
Automaat <string> dfa = new Automaat <string>(alphabet);
dfa.AddTransition(new Transition <string>("0", 'a', "1"));
dfa.AddTransition(new Transition <string>("0", 'b', "4"));
dfa.AddTransition(new Transition <string>("1", 'b', "2"));
dfa.AddTransition(new Transition <string>("1", 'a', "4"));
dfa.AddTransition(new Transition <string>("2", 'a', "3"));
dfa.AddTransition(new Transition <string>("2", 'b', "4"));
dfa.AddTransition(new Transition <string>("3", 'a', "1"));
dfa.AddTransition(new Transition <string>("3", 'b', "2"));
dfa.AddTransition(new Transition <string>("4", 'a', "4"));
dfa.AddTransition(new Transition <string>("4", 'b', "4"));
dfa.DefineAsStartState("0");
dfa.DefineAsFinalState("0");
dfa.DefineAsFinalState("2");
Assert.IsTrue(dfa.IsDfa());
}
public void AcceptTestInCorrectFinalState()
{
char[] alphabet = { 'a', 'b' };
Automaat <string> dfa = new Automaat <string>(alphabet);
dfa.AddTransition(new Transition <string>("0", 'a', "1"));
dfa.AddTransition(new Transition <string>("0", 'b', "4"));
dfa.AddTransition(new Transition <string>("1", 'b', "2"));
dfa.AddTransition(new Transition <string>("1", 'a', "4"));
dfa.AddTransition(new Transition <string>("2", 'a', "3"));
dfa.AddTransition(new Transition <string>("2", 'b', "4"));
dfa.AddTransition(new Transition <string>("3", 'a', "1"));
dfa.AddTransition(new Transition <string>("3", 'b', "2"));
dfa.AddTransition(new Transition <string>("4", 'a', "4"));
dfa.AddTransition(new Transition <string>("4", 'b', "4"));
dfa.DefineAsStartState("0");
dfa.DefineAsFinalState("0");
dfa.DefineAsFinalState("2");
Assert.IsFalse(dfa.Accept("aba"));
}
public static Automaat <string> GetExampleSlide8Lesson2()
{
char[] alphabet = { 'a', 'b' };
Automaat <string> m = new Automaat <string>(alphabet);
m.AddTransition(new Transition <string>("q0", 'a', "q1"));
m.AddTransition(new Transition <string>("q0", 'b', "q4"));
m.AddTransition(new Transition <string>("q1", 'a', "q4"));
m.AddTransition(new Transition <string>("q1", 'b', "q2"));
m.AddTransition(new Transition <string>("q2", 'a', "q3"));
m.AddTransition(new Transition <string>("q2", 'b', "q4"));
m.AddTransition(new Transition <string>("q3", 'a', "q1"));
m.AddTransition(new Transition <string>("q3", 'b', "q2"));
// the error state, loops for a and b:
m.AddTransition(new Transition <string>("q4", 'a'));
m.AddTransition(new Transition <string>("q4", 'b'));
// only on start state in a dfa:
m.DefineAsStartState("q0");
// two final states:
m.DefineAsFinalState("q2");
m.DefineAsFinalState("q3");
return(m);
}
public static Automaat <string> GetExampleSlide14Lesson2()
{
char[] alphabet = { 'a', 'b' };
Automaat <string> m = new Automaat <string>(alphabet);
m.AddTransition(new Transition <string>("A", 'a', "C"));
m.AddTransition(new Transition <string>("A", 'b', "B"));
m.AddTransition(new Transition <string>("A", 'b', "C"));
m.AddTransition(new Transition <string>("B", 'b', "C"));
m.AddTransition(new Transition <string>("B", "C"));
m.AddTransition(new Transition <string>("C", 'a', "D"));
m.AddTransition(new Transition <string>("C", 'a', "E"));
m.AddTransition(new Transition <string>("C", 'b', "D"));
m.AddTransition(new Transition <string>("D", 'a', "B"));
m.AddTransition(new Transition <string>("D", 'a', "C"));
m.AddTransition(new Transition <string>("E", 'a'));
m.AddTransition(new Transition <string>("E", "D"));
// only on start state in a dfa:
m.DefineAsStartState("A");
// two final states:
m.DefineAsFinalState("C");
m.DefineAsFinalState("E");
return(m);
}
public void TestConvertAutomaat2()
{
Automaat <string> ndfa = new Automaat <string>(new[] { 'a', 'b' });
ndfa.AddTransition(new Transition <string>("S", 'a', "A"));
ndfa.AddTransition(new Transition <string>("S", 'a', "S"));
ndfa.AddTransition(new Transition <string>("A", 'b', "B"));
ndfa.DefineAsStartState("S");
ndfa.DefineAsFinalState("B");
Automaat <string> dfa = NdfaToDfaConverter.Convert(ndfa);
Assert.AreEqual("(AS, a)-->AS", dfa.Transitions.ToList()[0].ToString());
Assert.AreEqual("(AS, b)-->B", dfa.Transitions.ToList()[1].ToString());
Assert.AreEqual("(B, a)-->F", dfa.Transitions.ToList()[2].ToString());
Assert.AreEqual("(B, b)-->F", dfa.Transitions.ToList()[3].ToString());
Assert.AreEqual("(F, a)-->F", dfa.Transitions.ToList()[4].ToString());
Assert.AreEqual("(F, b)-->F", dfa.Transitions.ToList()[5].ToString());
Assert.AreEqual("(S, a)-->AS", dfa.Transitions.ToList()[6].ToString());
Assert.AreEqual("(S, b)-->F", dfa.Transitions.ToList()[7].ToString());
Assert.AreEqual("B", dfa.FinalStates.ToList()[0]);
Assert.AreEqual("S", dfa.StartStates.ToList()[0]);
}
public void TestReverseStartStop()
{
Automaat <string> automaat = new Automaat <string>();
automaat.DefineAsStartState("0");
automaat.DefineAsFinalState("1");
Automaat <string> reverse = NdfaToDfaConverter.Reverse(automaat);
Assert.AreEqual(automaat.StartStates, reverse.FinalStates);
Assert.AreEqual(automaat.FinalStates, reverse.StartStates);
}
public void TestConvertAutomaat1()
{
char[] alphabet = { 'a', 'b' };
Automaat <string> ndfa = new Automaat <string>(alphabet);
ndfa.AddTransition(new Transition <string>("1", 'a', "2"));
ndfa.AddTransition(new Transition <string>("1", 'b', "2"));
ndfa.AddTransition(new Transition <string>("1", 'b', "3"));
ndfa.AddTransition(new Transition <string>("2", 'a', "4"));
ndfa.AddTransition(new Transition <string>("2", 'a', "2"));
ndfa.AddTransition(new Transition <string>("4", 'b', "3"));
ndfa.AddTransition(new Transition <string>("4", 'b', "1"));
ndfa.DefineAsStartState("1");
ndfa.DefineAsFinalState("1");
ndfa.DefineAsFinalState("4");
Automaat <string> dfa = NdfaToDfaConverter.Convert(ndfa);
Assert.AreEqual("(1, a)-->2", dfa.Transitions.ToList()[0].ToString());
Assert.AreEqual("(1, b)-->23", dfa.Transitions.ToList()[1].ToString());
Assert.AreEqual("(13, a)-->2", dfa.Transitions.ToList()[2].ToString());
Assert.AreEqual("(13, b)-->23", dfa.Transitions.ToList()[3].ToString());
Assert.AreEqual("(2, a)-->24", dfa.Transitions.ToList()[4].ToString());
Assert.AreEqual("(2, b)-->F", dfa.Transitions.ToList()[5].ToString());
Assert.AreEqual("(23, a)-->24", dfa.Transitions.ToList()[6].ToString());
Assert.AreEqual("(23, b)-->F", dfa.Transitions.ToList()[7].ToString());
Assert.AreEqual("(24, a)-->24", dfa.Transitions.ToList()[8].ToString());
Assert.AreEqual("(24, b)-->13", dfa.Transitions.ToList()[9].ToString());
Assert.AreEqual("(F, a)-->F", dfa.Transitions.ToList()[10].ToString());
Assert.AreEqual("(F, b)-->F", dfa.Transitions.ToList()[11].ToString());
Assert.AreEqual("1", dfa.FinalStates.ToList()[0]);
Assert.AreEqual("13", dfa.FinalStates.ToList()[1]);
Assert.AreEqual("24", dfa.FinalStates.ToList()[2]);
Assert.AreEqual("1", dfa.StartStates.ToList()[0]);
}
public void GeefTaalTotLengte()
{
Automaat <string> automaat = new Automaat <string>(new[] { 'a', 'b' });
automaat.AddTransition(new Transition <string>("0", 'a', "1"));
automaat.AddTransition(new Transition <string>("0", 'b', "0"));
automaat.AddTransition(new Transition <string>("1", 'a', "1"));
automaat.AddTransition(new Transition <string>("1", 'b', "0"));
automaat.DefineAsStartState("0");
automaat.DefineAsFinalState("1");
Assert.AreEqual(4, automaat.GeefTaalTotLengte(2).Count);
}
public void AcceptEpsilonTest()
{
char[] alphabet = { 'a', 'b' };
Automaat <string> epsilonNdfa = new Automaat <string>(alphabet);
epsilonNdfa.AddTransition(new Transition <string>("0", 'a', "1"));
epsilonNdfa.AddTransition(new Transition <string>("1", '$', "2"));
epsilonNdfa.AddTransition(new Transition <string>("2", 'b', "3"));
epsilonNdfa.AddTransition(new Transition <string>("3", '$', "4"));
epsilonNdfa.AddTransition(new Transition <string>("4", '$', "5"));
epsilonNdfa.AddTransition(new Transition <string>("5", 'c', "6"));
epsilonNdfa.DefineAsStartState("0");
epsilonNdfa.DefineAsFinalState("6");
Assert.IsTrue(epsilonNdfa.Accept("abc"));
}
public void TestConvertAutomaat3()
{
Automaat <string> ndfa = new Automaat <string>(new[] { 'a', 'b' });
ndfa.AddTransition(new Transition <string>("0", 'a', "0"));
ndfa.AddTransition(new Transition <string>("0", 'a', "1"));
ndfa.AddTransition(new Transition <string>("0", 'b', "1"));
ndfa.AddTransition(new Transition <string>("1", 'a', "2"));
ndfa.AddTransition(new Transition <string>("1", 'b', "2"));
ndfa.AddTransition(new Transition <string>("2", 'a', "0"));
ndfa.AddTransition(new Transition <string>("2", 'a', "2"));
ndfa.DefineAsStartState("0");
ndfa.DefineAsFinalState("2");
Automaat <string> dfa = NdfaToDfaConverter.Convert(ndfa);
Assert.AreEqual("(0, a)-->01", dfa.Transitions.ToList()[0].ToString());
Assert.AreEqual("(0, b)-->1", dfa.Transitions.ToList()[1].ToString());
Assert.AreEqual("(01, a)-->012", dfa.Transitions.ToList()[2].ToString());
Assert.AreEqual("(01, b)-->12", dfa.Transitions.ToList()[3].ToString());
Assert.AreEqual("(012, a)-->012", dfa.Transitions.ToList()[4].ToString());
Assert.AreEqual("(012, b)-->12", dfa.Transitions.ToList()[5].ToString());
Assert.AreEqual("(02, a)-->012", dfa.Transitions.ToList()[6].ToString());
Assert.AreEqual("(02, b)-->1", dfa.Transitions.ToList()[7].ToString());
Assert.AreEqual("(1, a)-->2", dfa.Transitions.ToList()[8].ToString());
Assert.AreEqual("(1, b)-->2", dfa.Transitions.ToList()[9].ToString());
Assert.AreEqual("(12, a)-->02", dfa.Transitions.ToList()[10].ToString());
Assert.AreEqual("(12, b)-->2", dfa.Transitions.ToList()[11].ToString());
Assert.AreEqual("(2, a)-->02", dfa.Transitions.ToList()[12].ToString());
Assert.AreEqual("(2, b)-->F", dfa.Transitions.ToList()[13].ToString());
Assert.AreEqual("(F, a)-->F", dfa.Transitions.ToList()[14].ToString());
Assert.AreEqual("(F, b)-->F", dfa.Transitions.ToList()[15].ToString());
Assert.AreEqual("012", dfa.FinalStates.ToList()[0]);
Assert.AreEqual("02", dfa.FinalStates.ToList()[1]);
Assert.AreEqual("12", dfa.FinalStates.ToList()[2]);
Assert.AreEqual("2", dfa.FinalStates.ToList()[3]);
Assert.AreEqual("0", dfa.StartStates.ToList()[0]);
}
public void HopcroftTest1()
{
char[] alphabet = { 'a', 'b' };
Automaat <string> dfaToHopcroft = new Automaat <string>(alphabet);
dfaToHopcroft.AddTransition(new Transition <string>("1", 'a', "2"));
dfaToHopcroft.AddTransition(new Transition <string>("1", 'b', "3"));
dfaToHopcroft.AddTransition(new Transition <string>("2", 'a', "4"));
dfaToHopcroft.AddTransition(new Transition <string>("2", 'b', "5"));
dfaToHopcroft.AddTransition(new Transition <string>("3", 'a', "6"));
dfaToHopcroft.AddTransition(new Transition <string>("3", 'b', "7"));
dfaToHopcroft.AddTransition(new Transition <string>("4", 'a', "4"));
dfaToHopcroft.AddTransition(new Transition <string>("4", 'b', "4"));
dfaToHopcroft.AddTransition(new Transition <string>("5", 'a', "2"));
dfaToHopcroft.AddTransition(new Transition <string>("5", 'b', "8"));
dfaToHopcroft.AddTransition(new Transition <string>("6", 'a', "4"));
dfaToHopcroft.AddTransition(new Transition <string>("6", 'b', "5"));
dfaToHopcroft.AddTransition(new Transition <string>("7", 'a', "6"));
dfaToHopcroft.AddTransition(new Transition <string>("7", 'b', "7"));
dfaToHopcroft.AddTransition(new Transition <string>("8", 'a', "6"));
dfaToHopcroft.AddTransition(new Transition <string>("8", 'b', "9"));
dfaToHopcroft.AddTransition(new Transition <string>("9", 'a', "6"));
dfaToHopcroft.AddTransition(new Transition <string>("9", 'b', "10"));
dfaToHopcroft.AddTransition(new Transition <string>("10", 'a', "6"));
dfaToHopcroft.AddTransition(new Transition <string>("10", 'b', "10"));
dfaToHopcroft.DefineAsStartState("1");
dfaToHopcroft.DefineAsFinalState("3");
dfaToHopcroft.DefineAsFinalState("5");
dfaToHopcroft.DefineAsFinalState("7");
dfaToHopcroft.DefineAsFinalState("9");
dfaToHopcroft.DefineAsFinalState("10");
Automaat <string> hopcroftedDfa = HopcroftAlgorithm.MinimizeDfa(dfaToHopcroft);
Assert.AreEqual("(A, a)-->B", hopcroftedDfa.Transitions.ToList()[0].ToString());
Assert.AreEqual("(A, b)-->D", hopcroftedDfa.Transitions.ToList()[1].ToString());
Assert.AreEqual("(B, a)-->C", hopcroftedDfa.Transitions.ToList()[2].ToString());
Assert.AreEqual("(B, b)-->E", hopcroftedDfa.Transitions.ToList()[3].ToString());
Assert.AreEqual("(C, a)-->C", hopcroftedDfa.Transitions.ToList()[4].ToString());
Assert.AreEqual("(C, b)-->C", hopcroftedDfa.Transitions.ToList()[5].ToString());
Assert.AreEqual("(D, a)-->B", hopcroftedDfa.Transitions.ToList()[6].ToString());
Assert.AreEqual("(D, b)-->D", hopcroftedDfa.Transitions.ToList()[7].ToString());
Assert.AreEqual("(E, a)-->B", hopcroftedDfa.Transitions.ToList()[8].ToString());
Assert.AreEqual("(E, b)-->A", hopcroftedDfa.Transitions.ToList()[9].ToString());
Assert.AreEqual("D", hopcroftedDfa.FinalStates.ToList()[0]);
Assert.AreEqual("E", hopcroftedDfa.FinalStates.ToList()[1]);
Assert.AreEqual("A", hopcroftedDfa.StartStates.ToList()[0]);
}
