#!/usr/bin/env scala

class Complex(val re: Double, val im: Double) {
  override def toString = re + (if (im < 0) "-" else "+" + im) + "*i"
  def add(c: Complex) = new Complex(re + c.re, im + c.im)
  def mul(c: Complex) = new Complex(re * c.re - im * c.im, re * c.im + im * c.re)
}

object MandelBrot extends App {
  def mandelbrot(c: Complex, n: BigInt, z: Complex): Complex = {
    if (n == 0) z
    else
      mandelbrot(c, n - 1, z.mul(z).add(c))
  }

  val c = new Complex(0.04, 0.01)
  val z0 = new Complex(0, 0)
  val n = BigInt(args(0))
  val debug = args(1) == "debug"
  val z = mandelbrot(c, n, z0)
  if (debug) println(z)
}

MandelBrot.main(args)