ComplexNumbers.cs

using System.Numerics;
using Waher.Script.Abstraction.Sets;
using Waher.Script.Abstraction.Elements;
 
namespace Waher.Script.Objects
{
    public sealed class ComplexNumbers : Field
    {
        internal static readonly ComplexNumber zero = new ComplexNumber(Complex.Zero);
        internal static readonly ComplexNumber one = new ComplexNumber(Complex.One);
        private static readonly int hashCode = typeof(ComplexNumbers).FullName.GetHashCode();
 
        public ComplexNumbers()
        {
        }
 
        public override ICommutativeRingWithIdentityElement One
        {
            get { return one; }
        }
 
        public override IAbelianGroupElement Zero
        {
            get { return zero; }
        }
 
        public override bool Contains(IElement Element)
        {
            object Obj = Element.AssociatedObjectValue;
            return (Obj is Complex) || (Obj is double);
        }
 
        public override bool Equals(object obj)
        {
            return obj is ComplexNumbers;
        }
 
        public override int GetHashCode()
        {
            return hashCode;
        }
 
        public static readonly ComplexNumbers Instance = new ComplexNumbers();
 
        public override string ToString()
        {
            return "ℂ";
        }
    }
}