public static double Square(ComplexNumber c)
{
return(c.Real * c.Real + c.Img * c.Img);
}
public bool Approximates(ComplexNumber c, double eps)
{
return(Math.Abs(Real - c.Real) < eps && Math.Abs(Img - c.Img) < eps);
}
/// <summary>
/// Absolute value is the distance from the origin to the point on the complex plan represented by this ComplexNumber.
/// </summary>
public static double Abs(ComplexNumber c)
{
return(c.Img == 0 ? Math.Abs(c.Real) : Math.Sqrt(Square(c)));
}
public static bool ApproxEqual(ComplexNumber c1, ComplexNumber c2, double eps)
{
return((double.IsNaN(c1.Real) && double.IsNaN(c2.Real) || Math.Abs(c1.Real - c2.Real) <= eps) &&
(double.IsNaN(c1.Img) && double.IsNaN(c2.Img) || Math.Abs(c1.Img - c2.Img) <= eps));
}
