NFA生成DFAC#sharpe代码
以下是将NFA转换为DFA的C#代码示例:
using System;
using System.Collections.Generic;
namespace NFAtoDFA
{
class Program
{
static void Main(string[] args)
{
// 输入NFA转移函数
Dictionary<Tuple<int, char>, List<int>> nfaDelta = new Dictionary<Tuple<int, char>, List<int>>();
nfaDelta.Add(Tuple.Create(1, 'a'), new List<int> { 1, 2 });
nfaDelta.Add(Tuple.Create(1, 'b'), new List<int> { 1 });
nfaDelta.Add(Tuple.Create(2, 'a'), new List<int> { 3 });
nfaDelta.Add(Tuple.Create(2, 'b'), new List<int> { 2 });
nfaDelta.Add(Tuple.Create(3, 'a'), new List<int> { 3 });
nfaDelta.Add(Tuple.Create(3, 'b'), new List<int> { 3 });
// 输入NFA终态集合
List<int> nfaFinalStates = new List<int> { 2, 3 };
// 将NFA转换为DFA
Dictionary<Tuple<int, char>, int> dfaDelta = new Dictionary<Tuple<int, char>, int>();
List<int> dfaStartState = EpsilonClosure(new List<int> { 1 }, nfaDelta);
List<List<int>> dfaStates = new List<List<int>> { dfaStartState };
List<int> dfaFinalStates = new List<int>();
Queue<List<int>> queue = new Queue<List<int>>();
queue.Enqueue(dfaStartState);
while (queue.Count > 0)
{
List<int> dfaState = queue.Dequeue();
foreach (char symbol in new char[] { 'a', 'b' })
{
List<int> nfaDestinations = new List<int>();
foreach (int nfaState in dfaState)
{
if (nfaDelta.ContainsKey(Tuple.Create(nfaState, symbol)))
{
nfaDestinations.AddRange(nfaDelta[Tuple.Create(nfaState, symbol)]);
}
}
List<int> dfaDestination = EpsilonClosure(nfaDestinations, nfaDelta);
if (!dfaStates.Contains(dfaDestination))
{
dfaStates.Add(dfaDestination);
queue.Enqueue(dfaDestination);
if (dfaDestination.Exists(x => nfaFinalStates.Contains(x)))
{
dfaFinalStates.Add(dfaStates.IndexOf(dfaDestination));
}
}
dfaDelta[Tuple.Create(dfaStates.IndexOf(dfaState), symbol)] = dfaStates.IndexOf(dfaDestination);
}
}
// 输出DFA转移函数
Console.WriteLine("DFA Delta:");
foreach (KeyValuePair<Tuple<int, char>, int> entry in dfaDelta)
{
Console.WriteLine($"({entry.Key.Item1}, {entry.Key.Item2}) -> {entry.Value}");
}
// 输出DFA状态集合
Console.WriteLine("DFA States:");
for (int i = 0; i < dfaStates.Count; i++)
{
Console.WriteLine($"{i}: {string.Join(",", dfaStates[i])}");
}
// 输出DFA终态集合
Console.WriteLine("DFA Final States:");
Console.WriteLine(string.Join(",", dfaFinalStates));
Console.ReadLine();
}
// 计算nfaStates的ε闭包
static List<int> EpsilonClosure(List<int> nfaStates, Dictionary<Tuple<int, char>, List<int>> nfaDelta)
{
List<int> result = new List<int>(nfaStates);
Queue<int> queue = new Queue<int>(nfaStates);
while (queue.Count > 0)
{
int nfaState = queue.Dequeue();
if (nfaDelta.ContainsKey(Tuple.Create(nfaState, 'ε')))
{
foreach (int nextState in nfaDelta[Tuple.Create(nfaState, 'ε')])
{
if (!result.Contains(nextState))
{
result.Add(nextState);
queue.Enqueue(nextState);
}
}
}
}
return result;
}
}
}
``
原文地址: https://www.cveoy.top/t/topic/c4ri 著作权归作者所有。请勿转载和采集!