docs: def ad_unif_fix(samples, pinf):
      """
      Corrects the limiting distribution for a finite sample size.
      """
      n = samples
      c = .01265 + .1757 / n
      if pinf < c:
          return (((.0037 / n + .00078) / n + .00006) / n) * g1(pinf / c)
      elif pinf < .8:
          return ((.01365 / n + .04213) / n) * g2((pinf - c) / (.8 - c))
      else:
          return g3(pinf) / n