JuliaStepVariation.cs

using System.Numerics;
using Waher.Script.Abstraction.Elements;
using Waher.Script.Model;
 
namespace Waher.Script.Fractals.IFS.Variations.Fractals
{
    public class JuliaStepVariation : FlameVariationOneComplexParameter
    {
        public JuliaStepVariation(ScriptNode Parameter1, ScriptNode Parameter2, int Start, int Length, Expression Expression)
            : base(Parameter1, Parameter2, Start, Length, Expression)
        {
        }
 
        public JuliaStepVariation(ScriptNode Parameter1, int Start, int Length, Expression Expression)
            : base(Parameter1, null, Start, Length, Expression)
        {
        }
 
        private JuliaStepVariation(Complex z, ScriptNode Parameter, int Start, int Length, Expression Expression)
            : base(z, Parameter, Start, Length, Expression)
        {
        }
 
        private JuliaStepVariation(double Re, double Im, ScriptNode Parameter1, ScriptNode Parameter2,
            int Start, int Length, Expression Expression)
            : base(Re, Im, Parameter1, Parameter2, Start, Length, Expression)
        {
        }
 
        public override IElement Evaluate(IElement[] Arguments, Variables Variables)
        {
            if (Arguments[1] is null || Arguments[1].AssociatedObjectValue is null)
            {
                return new JuliaStepVariation(Expression.ToComplex(Arguments[0].AssociatedObjectValue),
                    this.Arguments[0], this.Start, this.Length, this.Expression);
            }
            else
            {
                return new JuliaStepVariation(
                    Expression.ToDouble(Arguments[0].AssociatedObjectValue), 
                    Expression.ToDouble(Arguments[1].AssociatedObjectValue),
                    this.Arguments[0], this.Arguments[1], Start, Length, this.Expression);
            }
        }
 
        public override void Operate(ref double x, ref double y)
        {
            double x2 = x * x - y * y + this.re;
            y = 2 * x * y + this.im;
            x = x2;
        }
 
        public override string FunctionName => nameof(JuliaStepVariation);
    }
}