code: def band_stop_obj(wp, ind, passb, stopb, gpass, gstop, type):
      """
      Band Stop Objective Function for order minimization.
  
      Returns the non-integer order for an analog band stop filter.
  
      Parameters
      ----------
      wp : scalar
          Edge of passband `passb`.
      ind : int, {0, 1}
          Index specifying which `passb` edge to vary (0 or 1).
      passb : ndarray
          Two element sequence of fixed passband edges.
      stopb : ndarray
          Two element sequence of fixed stopband edges.
      gstop : float
          Amount of attenuation in stopband in dB.
      gpass : float
          Amount of ripple in the passband in dB.
      type : {'butter', 'cheby', 'ellip'}
          Type of filter.
  
      Returns
      -------
      n : scalar
          Filter order (possibly non-integer).
  
      See Also
      --------
      scipy.signal.band_stop_obj
  
      """
  
      _validate_gpass_gstop(gpass, gstop)
  
      passbC = passb.copy()
      passbC[ind] = wp
      nat = (
          stopb
          * (passbC[0] - passbC[1])
          / (stopb**2 - passbC[0] * passbC[1])
      )
      nat = min(cupy.abs(nat))
  
      if type == "butter":
          GSTOP = 10 ** (0.1 * cupy.abs(gstop))
          GPASS = 10 ** (0.1 * cupy.abs(gpass))
          n = cupy.log10((GSTOP - 1.0) / (GPASS - 1.0)) / (
              2 * cupy.log10(nat)
          )
      elif type == "cheby":
          GSTOP = 10 ** (0.1 * cupy.abs(gstop))
          GPASS = 10 ** (0.1 * cupy.abs(gpass))
          n = cupy.arccosh(
              cupy.sqrt((GSTOP - 1.0) / (GPASS - 1.0))
          ) / cupy.arccosh(nat)
      elif type == "ellip":
          GSTOP = 10 ** (0.1 * gstop)
          GPASS = 10 ** (0.1 * gpass)
          arg1 = cupy.sqrt((GPASS - 1.0) / (GSTOP - 1.0))
          arg0 = 1.0 / nat
          d0 = special.ellipk(cupy.array([arg0**2, 1 - arg0**2]))
          d1 = special.ellipk(cupy.array([arg1**2, 1 - arg1**2]))
          n = d0[0] * d1[1] / (d0[1] * d1[0])
      else:
          raise ValueError("Incorrect type: %s" % type)
      return n
  
imports: import warnings
  import math
  from math import pi, prod
  import cupy
  from cupyx.scipy.special import binom
  import cupyx.scipy.special
  from cupyx.scipy.signal import _optimize
  from cupyx.scipy.signal._polyutils import roots, poly
  from cupyx.scipy.signal._lti_conversion import abcd_normalize
label_desc: Use image node_id 42 for calling a global function with example usage: band_stop_obj(wp, ind, passb, stopb, gpass, gstop, type) and returns: n