code: def convergent_round(value, ndigits=0):
      
      if sys.version_info[0] < 3:
          if value < 0.0:
              return -convergent_round(-value)
  
          epsilon = 0.0000001
          integral_part, _ = divmod(value, 1)
  
          if abs(value - (integral_part + 0.5)) < epsilon:
              if integral_part % 2.0 < epsilon:
                  return integral_part
              else:
                  nearest_even = integral_part + 0.5
                  return math.ceil(nearest_even)
      return round(value, ndigits)
docs: Convergent rounding.
  
      Round to neareas even, similar to Python3's round() method.