/// <summary>
/// accepted format is "R_{whatever format for the double real value}_{whatever format for the double imaginary value}" or
/// "P_{whatever format for the double radius}_({whatever format for the angle})
/// the last argument can be discarded to be replaced by the second
/// </summary>
/// <param name="format"></param>
/// <param name="provider"></param>
/// <returns></returns>
public string ToString(string format, IFormatProvider provider)
{
if (format == "")
{
format = "R_G_G";
}
string[] split = format.SmartSplit("_", "(", ")");
if (split.Length == 1)
{
split = new[] { split[0], "G", "G" }
}
;
if (split.Length == 2)
{
split = new[] { split[0], split[1], split[1] }
}
;
if (split.Length != 3)
{
throw new FormatException("Format must either be empty or include 1 or 2 dividers (_)");
}
if (split[0] == "R")
{
string realformat = split[1];
string imagformat = split[2];
if (Isreal())
{
return(RealPart.ToString(realformat, provider));
}
if (Isimaginary())
{
return(ImaginaryPart.ToString(imagformat, provider) + "i");
}
return(RealPart.ToString(realformat, provider) + (ImaginaryPart < 0 ? "" : "+") + ImaginaryPart.ToString(imagformat, provider) + "i");
}
if (split[1] == "P")
{
string radiusformat = split[1];
string angleformat = split[2];
if (Radius == 1)
{
return("CiS(" + Angle.ToString(angleformat) + ")");
}
if (Radius == 0)
{
return("0");
}
return(Radius.ToString(radiusformat, provider) + "CiS(" + Angle.ToString(angleformat) + ")");
}
throw new FormatException("Format must either be empty or start with a R or a P");
}
public bool isGaussianPrime()
{
if (Iszero() || !IsGaussian())
{
return(false);
}
if (Iscomplex())
{
return(((int)(RealPart * RealPart + ImaginaryPart * ImaginaryPart)).IsPrime());
}
if (ImaginaryPart == 0)
{
return(((int)RealPart.abs()).TrueMod(4) == 3 && ((int)RealPart.abs()).IsPrime());
}
return(((int)ImaginaryPart.abs()).TrueMod(4) == 3 && ((int)ImaginaryPart.abs()).IsPrime());
}
public override int GetHashCode()
{
return(RealPart.GetHashCode() ^ ImaginaryPart.GetHashCode() ^ Angle.GetHashCode());
}