[c#] 정수 범위를 나타내는 C # 유형이 있습니까?

@drharris의 답변에서 영감을 얻은이 구현을 사용하면 포괄적 / 배타적 일 수있는 값으로 적절한 수학적 간격을 정의 할 수 있습니다.

/// <summary>The Interval class.</summary>
/// <typeparam name="T">Generic parameter.</typeparam>
public class Interval<T> : IEquatable<Interval<T>>
    where T : IComparable<T>, IEquatable<T>
{
    public Interval()
    { }

    public Interval(IntervalValue<T> minimum, IntervalValue<T> maximum)
    {
        this.Minimum = minimum;
        this.Maximum = maximum;
    }

    /// <summary>Minimum value of the interval.</summary>
    public IntervalValue<T>? Minimum { get; set; }

    /// <summary>Maximum value of the interval.</summary>
    public IntervalValue<T>? Maximum { get; set; }

    /// <summary>Presents the Interval in readable format.</summary>
    /// <returns>String representation of the Interval</returns>
    public override string ToString()
    {
        var min = this.Minimum;
        var max = this.Maximum;
        var sb = new StringBuilder();

        if (min.HasValue)
            sb.AppendFormat(min.Value.ToString(IntervalNotationPosition.Left));
        else
            sb.Append("(-∞");

        sb.Append(',');

        if (max.HasValue)
            sb.AppendFormat(max.Value.ToString(IntervalNotationPosition.Right));
        else
            sb.Append("∞)");

        var result = sb.ToString();

        return result;
    }

    /// <summary>Determines if the interval is valid.</summary>
    /// <returns>True if interval is valid, else false</returns>
    public bool IsValid()
    {
        var min = this.Minimum;
        var max = this.Maximum;

        if (min.HasValue && max.HasValue)
            return min.Value.Value.CompareTo(max.Value.Value) <= 0;

        return true;
    }

    /// <summary>Determines if the provided value is inside the interval.</summary>
    /// <param name="x">The value to test</param>
    /// <returns>True if the value is inside Interval, else false</returns>
    public bool ContainsValue(T x)
    {
        if (x == null)
            throw new ArgumentNullException(nameof(x));

        var min = this.Minimum;
        var max = this.Maximum;
        var isValid = this.IsValid();

        if (!isValid)
            throw new InvalidOperationException("Interval is not valid.");

        bool result = true; // (-∞,∞)

        if (min.HasValue)
        {
            if (min.Value.Type == IntervalValueType.Exclusive)
                result &= min.Value.Value.CompareTo(x) < 0;
            else if (min.Value.Type == IntervalValueType.Inclusive)
                result &= min.Value.Value.CompareTo(x) <= 0;
            else
                throw new NotSupportedException();
        }

        if (max.HasValue)
        {
            if (max.Value.Type == IntervalValueType.Exclusive)
                result &= max.Value.Value.CompareTo(x) > 0;
            else if (max.Value.Type == IntervalValueType.Inclusive)
                result &= max.Value.Value.CompareTo(x) >= 0;
            else
                throw new NotSupportedException();
        }

        return result;
    }

    public bool Equals(Interval<T> other)
    {
        if (other == null)
            return false;

        if (ReferenceEquals(this, other))
            return true;

        return this.Minimum?.Equals(other.Minimum) == true
            && this.Maximum?.Equals(other.Maximum) == true;
    }

    public override bool Equals(object obj)
    {
        return this.Equals(obj as Interval<T>);
    }

    public override int GetHashCode()
    {
        unchecked
        {
            int hash = (int)2166136261;

            hash = hash * 16777619 ^ this.Minimum?.GetHashCode() ?? 0;
            hash = hash * 16777619 ^ this.Maximum?.GetHashCode() ?? 0;

            return hash;
        }
    }
}

public struct IntervalValue<T> : IEquatable<IntervalValue<T>>
    where T : IComparable<T>, IEquatable<T> //, IFormattable
{
    private readonly T value;
    private readonly IntervalValueType type;

    public IntervalValue(T value, IntervalValueType type)
    {
        if (value == null)
            throw new ArgumentNullException(nameof(value));

        this.value = value;
        this.type = type;
    }

    public T Value
    {
        get { return this.value; }
    }

    public IntervalValueType Type
    {
        get { return this.type; }
    }

    public bool Equals(IntervalValue<T> other)
    {
        return this.value.Equals(other.value)
            && this.type == other.type;
    }

    public override bool Equals(object obj)
    {
        return obj is IntervalValue<T> && this.Equals((IntervalValue<T>)obj);
    }

    public override int GetHashCode()
    {
        unchecked
        {
            int hash = (int)2166136261;

            hash = hash * 16777619 ^ this.value.GetHashCode();
            hash = hash * 16777619 ^ this.type.GetHashCode();

            return hash;
        }
    }

    internal string ToString(IntervalNotationPosition position)
    {
        var notation = this.Type.ToString(position);

        switch (position)
        {
            case IntervalNotationPosition.Left:
                return string.Format("{0}{1}", notation, this.Value);

            case IntervalNotationPosition.Right:
                return string.Format("{0}{1}", this.Value, notation);

            default:
                throw new NotSupportedException();
        }
    }
}

internal static class IntervalValueTypeExtensions
{
    public static string ToString(this IntervalValueType type, IntervalNotationPosition position)
    {
        switch (position)
        {
            case IntervalNotationPosition.Left:
                switch (type)
                {
                    case IntervalValueType.Inclusive: return "[";
                    case IntervalValueType.Exclusive: return "(";

                    default:
                        throw new NotSupportedException();
                }

            case IntervalNotationPosition.Right:
                switch (type)
                {
                    case IntervalValueType.Inclusive: return "]";
                    case IntervalValueType.Exclusive: return ")";

                    default:
                        throw new NotSupportedException();
                }
                break;

            default:
                throw new NotSupportedException();
        }
    }
}

public enum IntervalValueType
{
    Inclusive,
    Exclusive
}

public enum IntervalNotationPosition
{
    Left,
    Right
}

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