complex.coffee

class Complex
  constructor: (re=0, im=0) ->
    if not(this instanceof Complex)
      return new Complex re, im
    this.re = re
    this.im = im
  conjugate: (other) ->
    new Complex @re, -@im
  add: (other) ->
    [re, im] = [@re + other.re, @im + other.im]
    new Complex re, im
  sub: (other)->
    @add new Complex(-other.re, -other.im)
  mul: (other) ->
    [re, im] = [@re * other.re - @im * other.im, @im * other.re + @re * other.im]
    new Complex re, im
  div: (other) ->
    re = (@re * other.re + @im * other.im) / (other.re * other.re + other.im * other.im)
    im = (@im * other.re - @re * other.im) / (other.re * other.re + other.im * other.im)
    new Complex re, im
  toString: (other) ->
    @re + '+' + @im + 'i'