Esempio n. 1
0
        public void TestEndsWith1()
        {
            var sp = new State("p");
            var sq = new State("q");
            var i0 = new Symbol("0");
            var i1 = new Symbol("1");

            var states = new HashSet <State> {
                sp, sq
            };
            var alphabet = new Alphabet(new HashSet <Symbol> {
                i0, i1
            });
            var transitionFunction = new NondeterministicFiniteTransitionFunction(new HashSet <NondeterministicFinitePartialTransitionFunction>
            {
                new NondeterministicFinitePartialTransitionFunction(sp, i0, new HashSet <State> {
                    sp
                }),
                new NondeterministicFinitePartialTransitionFunction(sp, i1, new HashSet <State> {
                    sp, sq
                }),
                new NondeterministicFinitePartialTransitionFunction(sq, i0, new HashSet <State> ()),
                new NondeterministicFinitePartialTransitionFunction(sq, i1, new HashSet <State> ())
            });
            var acceptStates = new HashSet <State> {
                sq
            };

            // Ends with a 1
            var automaton = new NondeterministicFiniteAutomaton(
                states,
                alphabet,
                transitionFunction,
                sp,
                acceptStates
                );

            var negative = Word.Parse("0000111010011010", alphabet);
            var positive = Word.Parse("0011100101001001", alphabet);

            Assert.False(automaton.Accepts(negative));
            Assert.True(automaton.Accepts(positive));

            for (var i = 0; i < 10; i++)
            {
                var randomNegative = Word.Parse(string.Join("", Enumerable.Range(1, Random.Next(20)).Select(_ => Random.Next(2))) + "0", alphabet);
                var randomPositive = Word.Parse(string.Join("", Enumerable.Range(1, Random.Next(20)).Select(_ => Random.Next(2))) + "1", alphabet);
                Assert.False(automaton.Accepts(randomNegative));
                Assert.True(automaton.Accepts(randomPositive));
            }
        }
Esempio n. 2
0
        static void Main(string[] args)
        {
            string           input          = "aa";
            string           Alphabet       = "ab";
            string           RegEx          = "a?b";
            List <string>    RegularGrammar = new List <string>();
            HashSet <string> words          = new HashSet <string>();

            words.Add("abbca");
            words.Add("abb");
            words.Add("abc");
            words.Add("c");

            RegularGrammar.Add("<S> ::= 'abc'<A> | 'b'<B>");
            RegularGrammar.Add("<A> ::= 'bbaa'<B> | 'ε'");
            RegularGrammar.Add("<B> ::= 'a'<A> | 'bb'");

            AutomataBuilder builder = new AutomataBuilder();
            NondeterministicFiniteAutomaton NFA1 = builder.BuildAutomatonFromRegularExpression(RegEx, Alphabet);
            NondeterministicFiniteAutomaton NFA3 = builder.BuildAutomatonFromRegularGrammar(RegularGrammar);
            NondeterministicFiniteAutomaton NFA4 = builder.BuildAutomatonFronDerivationOfRegularExpression(words);
            //NFA4.DeleteEpsilonTransitions();
            DeterministicFiniteAutomaton DFA4 = NFA4.ConvertToDeterministicFiniteAutomaton();
            string dotcodeDfa4 = DFA4.GetDotSourceCode();
            string dotcodeNfa4 = NFA4.GetDotSourceCode();
            string dotcode     = NFA3.GetDotSourceCode();
            string dotcodeNFA1 = NFA1.GetDotSourceCode();
            DeterministicFiniteAutomaton DFA1 = NFA1.ConvertToDeterministicFiniteAutomaton();
            string       dotcodeDfa1          = DFA1.GetDotSourceCode();
            List <State> states = new List <State>();

            /*states.Add(new State(1, "q0", true, false));
             * states.Add(new State(2, "q1", false, false));
             * states.Add(new State(3, "q2", false, false));
             * states.Add(new State(4, "q3", false, false));
             * states.Add(new State(5, "q4", false, false));
             * states.Add(new State(6, "q5", false, false));
             * states.Add(new State(7, "q6", false, false));
             * states.Add(new State(8, "q7", false, true));
             * states.Add(new State(9, "q8", false, true));
             * states.Add(new State(10, "q9", false, false));
             * states.Add(new State(11, "q10", false, false));
             * states.Add(new State(12, "q11", false, true));
             * states.Add(new State(13, "q12", false, false));*/
            states.Add(new State(1, "q0", false, false));
            states.Add(new State(2, "q1", false, false));
            states.Add(new State(3, "q2", false, false));
            states.Add(new State(4, "q3", false, true));
            states.Add(new State(5, "q4", true, false));
            states.Add(new State(6, "q5", false, false));
            states.Add(new State(7, "q6", false, false));
            states.Add(new State(8, "q7", false, true));



            List <DeltaFunctionTriplet> dft = new List <DeltaFunctionTriplet>();

            /*dft.Add(new DeltaFunctionTriplet(1, 'a', 3));
             * dft.Add(new DeltaFunctionTriplet(3, 'a', 2));
             * dft.Add(new DeltaFunctionTriplet(2, 'a', 4));
             * dft.Add(new DeltaFunctionTriplet(2, 'a', 5));
             * dft.Add(new DeltaFunctionTriplet(2, 'a', 6));
             * dft.Add(new DeltaFunctionTriplet(5, 'a', 7));
             * dft.Add(new DeltaFunctionTriplet(6, 'a', 8));
             * dft.Add(new DeltaFunctionTriplet(6, 'a', 9));
             * dft.Add(new DeltaFunctionTriplet(13, 'a', 11));*/
            dft.Add(new DeltaFunctionTriplet(1, 'b', 5));
            dft.Add(new DeltaFunctionTriplet(1, 'a', 2));
            dft.Add(new DeltaFunctionTriplet(2, 'a', 6));
            dft.Add(new DeltaFunctionTriplet(2, 'b', 3));
            dft.Add(new DeltaFunctionTriplet(3, 'a', 4));
            dft.Add(new DeltaFunctionTriplet(3, 'b', 7));
            dft.Add(new DeltaFunctionTriplet(4, 'a', 8));
            dft.Add(new DeltaFunctionTriplet(4, 'b', 4));
            dft.Add(new DeltaFunctionTriplet(5, 'a', 6));
            dft.Add(new DeltaFunctionTriplet(5, 'b', 1));
            dft.Add(new DeltaFunctionTriplet(6, 'a', 2));
            dft.Add(new DeltaFunctionTriplet(6, 'b', 7));
            dft.Add(new DeltaFunctionTriplet(7, 'a', 8));
            dft.Add(new DeltaFunctionTriplet(7, 'b', 3));
            dft.Add(new DeltaFunctionTriplet(8, 'a', 8));
            dft.Add(new DeltaFunctionTriplet(8, 'b', 4));



            SortedList <int, List <int> > EpsilonTransition = new SortedList <int, List <int> >();

            /*EpsilonTransition.Add(1, new List<int> { 2 });
             * EpsilonTransition.Add(4, new List<int> { 7 });
             * EpsilonTransition.Add(7, new List<int> { 12 });
             * EpsilonTransition.Add(8, new List<int> { 10, 12 });
             * EpsilonTransition.Add(9, new List<int> { 11 });
             * EpsilonTransition.Add(10, new List<int> { 12 });*/
            EpsilonTransition.Add(4, new List <int> {
                3
            });
            EpsilonTransition.Add(3, new List <int> {
                2
            });

            DeterministicFiniteAutomaton DFA = new DeterministicFiniteAutomaton(states, Alphabet, dft);

            DFA.DeleteEquivalentStates();
            string test = DFA.GetDotSourceCode();
            NondeterministicFiniteAutomaton NFA = new NondeterministicFiniteAutomaton(states, Alphabet, dft, EpsilonTransition);

            if (NFA.Accepts(input))
            {
                Console.WriteLine("Prijima");
            }
            else
            {
                Console.WriteLine("Neprijima");
            }

            string dot = NFA.GetDotSourceCode();

            NFA.DeleteEpsilonTransitions();
            DeterministicFiniteAutomaton DFA2 = NFA.ConvertToDeterministicFiniteAutomaton();
            //DFA.DeleteEquivalentStates();
            //DFA.Save2Xml();
            //NFA.Save2Xml("test.xml");
            //NFA.DeleteUnnecessaryStates();
            //NFA.DeleteUnattainableStates();

            NondeterministicFiniteAutomaton NFA2 = XmlAutomataReader.ReadFromXml("test.xml");

            /* states.Add(new State(1, "q0", true, true));
             * states.Add(new State(2, "q1", false, false));
             * states.Add(new State(3, "q2", false, false));
             * states.Add(new State(4, "q3", false, true));
             * states.Add(new State(5, "q4", false, true));
             *
             * List<DeltaFunctionTriplet> dft = new List<DeltaFunctionTriplet>();
             * dft.Add(new DeltaFunctionTriplet(1, 'b', 1));
             * dft.Add(new DeltaFunctionTriplet(1, 'a', 2));
             * dft.Add(new DeltaFunctionTriplet(2, 'a', 4));
             * dft.Add(new DeltaFunctionTriplet(2, 'b', 5));
             * dft.Add(new DeltaFunctionTriplet(3, 'a', 1));
             * dft.Add(new DeltaFunctionTriplet(3, 'b', 4));
             * dft.Add(new DeltaFunctionTriplet(4, 'a', 1));
             * dft.Add(new DeltaFunctionTriplet(4, 'b', 3));
             * dft.Add(new DeltaFunctionTriplet(5, 'a', 4));
             * dft.Add(new DeltaFunctionTriplet(5, 'b', 5));
             *
             * DeterministicFiniteAutomaton DFA = new DeterministicFiniteAutomaton(states, Alphabet, dft);
             * if(DFA.Accepts(input))
             * {
             *   Console.WriteLine("prijima");
             * }
             * else
             * {
             *   Console.WriteLine("neprijima");
             * }*/
        }
Esempio n. 3
0
        public void Test2Or3()
        {
            var s0 = new State("0");
            var s1 = new State("1");
            var s2 = new State("2");
            var s3 = new State("3");
            var s4 = new State("4");
            var s5 = new State("5");

            var i0 = new Symbol("0");

            var states = new HashSet <State> {
                s0, s1, s2, s3, s4, s5
            };
            var initialState = s0;
            var alphabet     = new Alphabet(new HashSet <Symbol> {
                i0
            });
            var acceptStates = new HashSet <State> {
                s1, s3
            };
            var transitionFunction = new NondeterministicFiniteTransitionFunction(new HashSet <NondeterministicFinitePartialTransitionFunction>
            {
                new NondeterministicFinitePartialTransitionFunction(s0, Symbol.EPSILON, new HashSet <State> {
                    s1, s3
                }),
                new NondeterministicFinitePartialTransitionFunction(s1, i0, new HashSet <State> {
                    s2
                }),
                new NondeterministicFinitePartialTransitionFunction(s2, i0, new HashSet <State> {
                    s1
                }),
                new NondeterministicFinitePartialTransitionFunction(s3, i0, new HashSet <State> {
                    s4
                }),
                new NondeterministicFinitePartialTransitionFunction(s4, i0, new HashSet <State> {
                    s5
                }),
                new NondeterministicFinitePartialTransitionFunction(s5, i0, new HashSet <State> {
                    s3
                })
            });

            // Contains 2 or 3 zeros
            var automaton = new NondeterministicFiniteAutomaton(
                states,
                alphabet,
                transitionFunction,
                initialState,
                acceptStates);

            var negative = Word.Parse("00000", alphabet);
            var positive = Word.Parse("000", alphabet);

            Assert.False(automaton.Accepts(negative));
            Assert.True(automaton.Accepts(positive));

            for (var i = 0; i < 10; i++)
            {
                var unknown = Word.Parse(string.Join("", Enumerable.Repeat(0, Random.Next(5, 20))), alphabet);

                if (unknown.Count() % 3 == 0 || unknown.Count() % 2 == 0)
                {
                    Assert.True(automaton.Accepts(unknown));
                }
                else
                {
                    Assert.False(automaton.Accepts(unknown));
                }
            }
        }