CanonSharp/CanonSharp.Common/LexicalAnalyzer/RegularExpression.cs

namespace CanonSharp.Common.LexicalAnalyzer;

public abstract class RegularExpression
{
    public abstract NondeterministicFiniteAutomation Convert2Nfa();

    /// <summary>
    /// 匹配空字符串
    /// </summary>
    public static RegularExpression Empty => new EmptyExpression();

    /// <summary>
    /// 匹配单个字符
    /// c
    /// </summary>
    /// <param name="c"></param>
    /// <returns></returns>
    public static RegularExpression Single(char c) => new SymbolExpression(c);

    /// <summary>
    /// left|right
    /// </summary>
    /// <param name="left"></param>
    /// <param name="right"></param>
    /// <returns></returns>
    public static RegularExpression Alternate(RegularExpression left, RegularExpression right) =>
        new AlternationExpression(left, right);

    /// <summary>
    /// left-right
    /// </summary>
    /// <param name="first"></param>
    /// <param name="second"></param>
    /// <returns></returns>
    public static RegularExpression Concatenate(RegularExpression first, RegularExpression second) =>
        new ConcatenationExpression(first, second);

    /// <summary>
    /// inner*
    /// </summary>
    /// <param name="inner"></param>
    /// <returns></returns>
    public static RegularExpression Kleene(RegularExpression inner) => new KleeneExpression(inner);

    /// <summary>
    /// value
    /// </summary>
    /// <param name="value"></param>
    /// <returns></returns>
    public static RegularExpression String(string value) => new StringExpression(value);

    public static RegularExpression CharSetOf(string value) => new CharSetExpression(value.ToCharArray());

    public static RegularExpression CharSetOf(Func<char, bool> predicate)
        => new CharSetExpression(Iterate(char.MinValue, char.MaxValue).Where(predicate).ToArray());

    /// <summary>
    /// [a-b]
    /// </summary>
    /// <param name="a"></param>
    /// <param name="b"></param>
    /// <returns></returns>
    public static RegularExpression Range(char a, char b) => new CharSetExpression(Iterate(a, b).ToArray());

    private static IEnumerable<char> Iterate(char a, char b)
    {
        for (char c = a; c <= b; c++)
        {
            if (c == char.MaxValue)
            {
                yield break;
            }

            yield return c;
        }
    }
}

public class EmptyExpression : RegularExpression
{
    public override NondeterministicFiniteAutomation Convert2Nfa()
    {
        NondeterministicState final = new();
        NondeterministicState start = new();
        start.AddTransaction(EmptyChar.Empty, final);

        return new NondeterministicFiniteAutomation(start, [final]);
    }
}

public class SymbolExpression(char symbol) : RegularExpression
{
    public char Symbol { get; } = symbol;

    public override NondeterministicFiniteAutomation Convert2Nfa()
    {
        NondeterministicState final = new();
        NondeterministicState start = new();
        start.AddTransaction(new EmptyChar(Symbol), final);

        return new NondeterministicFiniteAutomation(start, [final]);
    }
}

public class AlternationExpression(RegularExpression left, RegularExpression right) : RegularExpression
{
    public RegularExpression Left { get; } = left;

    public RegularExpression Right { get; } = right;

    public override NondeterministicFiniteAutomation Convert2Nfa()
    {
        NondeterministicFiniteAutomation left = Left.Convert2Nfa();
        NondeterministicFiniteAutomation right = Right.Convert2Nfa();

        NondeterministicState final = new();
        foreach (NondeterministicState state in left.FinalStates.Concat(right.FinalStates))
        {
            state.AddTransaction(EmptyChar.Empty, final);
        }

        NondeterministicState start = new();
        start.AddTransaction(EmptyChar.Empty, left.Start);
        start.AddTransaction(EmptyChar.Empty, right.Start);

        return new NondeterministicFiniteAutomation(start, [final]);
    }
}

public class ConcatenationExpression(RegularExpression first, RegularExpression second) : RegularExpression
{
    public RegularExpression First { get; } = first;

    public RegularExpression Second { get; } = second;

    public override NondeterministicFiniteAutomation Convert2Nfa()
    {
        NondeterministicFiniteAutomation first = First.Convert2Nfa();
        NondeterministicFiniteAutomation second = Second.Convert2Nfa();

        foreach (NondeterministicState state in first.FinalStates)
        {
            state.AddTransaction(EmptyChar.Empty, second.Start);
        }

        return new NondeterministicFiniteAutomation(first.Start, second.FinalStates);
    }
}

public class KleeneExpression(RegularExpression inner) : RegularExpression
{
    public RegularExpression Inner { get; } = inner;

    public override NondeterministicFiniteAutomation Convert2Nfa()
    {
        NondeterministicFiniteAutomation inner = Inner.Convert2Nfa();

        NondeterministicState final = new();
        final.AddTransaction(EmptyChar.Empty, inner.Start);

        foreach (NondeterministicState state in inner.FinalStates)
        {
            state.AddTransaction(EmptyChar.Empty, final);
        }

        return new NondeterministicFiniteAutomation(final, [final]);
    }
}

public class CharSetExpression : RegularExpression
{
    public char[] Set { get; }

    public CharSetExpression(Span<char> set)
    {
        if (set.Length == 0)
        {
            throw new InvalidOperationException();
        }

        Set = set.ToArray();
    }

    public override NondeterministicFiniteAutomation Convert2Nfa()
    {
        NondeterministicState start = new();
        NondeterministicState final = new();

        foreach (char c in Set)
        {
            start.AddTransaction(new EmptyChar(c), final);
        }

        return new NondeterministicFiniteAutomation(start, [final]);
    }
}

public class StringExpression : RegularExpression
{
    public string Word { get; }

    public StringExpression(string word)
    {
        if (string.IsNullOrEmpty(word))
        {
            throw new InvalidOperationException();
        }

        Word = word;
    }

    public override NondeterministicFiniteAutomation Convert2Nfa()
    {
        NondeterministicState start = new();
        NondeterministicState final = Word.Aggregate(start, (state, c) =>
        {
            NondeterministicState next = new();
            state.AddTransaction(new EmptyChar(c), next);
            return next;
        });

        return new NondeterministicFiniteAutomation(start, [final]);
    }
}