code: def ellipord(wp, ws, gpass, gstop, analog=False, fs=None):
      """Elliptic (Cauer) filter order selection.
  
      Return the order of the lowest order digital or analog elliptic filter
      that loses no more than `gpass` dB in the passband and has at least
      `gstop` dB attenuation in the stopband.
  
      Parameters
      ----------
      wp, ws : float
          Passband and stopband edge frequencies.
  
          For digital filters, these are in the same units as `fs`. By default,
          `fs` is 2 half-cycles/sample, so these are normalized from 0 to 1,
          where 1 is the Nyquist frequency. (`wp` and `ws` are thus in
          half-cycles / sample.) For example:
  
              - Lowpass:   wp = 0.2,          ws = 0.3
              - Highpass:  wp = 0.3,          ws = 0.2
              - Bandpass:  wp = [0.2, 0.5],   ws = [0.1, 0.6]
              - Bandstop:  wp = [0.1, 0.6],   ws = [0.2, 0.5]
  
          For analog filters, `wp` and `ws` are angular frequencies
          (e.g., rad/s).
      gpass : float
          The maximum loss in the passband (dB).
      gstop : float
          The minimum attenuation in the stopband (dB).
      analog : bool, optional
          When True, return an analog filter, otherwise a digital filter is
          returned.
      fs : float, optional
          The sampling frequency of the digital system.
  
      Returns
      -------
      ord : int
          The lowest order for an Elliptic (Cauer) filter that meets specs.
      wn : ndarray or float
          The Chebyshev natural frequency (the "3dB frequency") for use with
          `ellip` to give filter results. If `fs` is specified,
          this is in the same units, and `fs` must also be passed to `ellip`.
  
      See Also
      --------
      scipy.signal.ellipord
      ellip : Filter design using order and critical points
      buttord : Find order and critical points from passband and stopband spec
      cheb1ord, cheb2ord
      iirfilter : General filter design using order and critical frequencies
      iirdesign : General filter design using passband and stopband spec
      """
      _validate_gpass_gstop(gpass, gstop)
      wp, ws, filter_type = _validate_wp_ws(wp, ws, fs, analog)
      passb, stopb = _pre_warp(wp, ws, analog)
      nat, passb = _find_nat_freq(
          stopb, passb, gpass, gstop, filter_type, "ellip"
      )
  
      arg1_sq = _pow10m1(0.1 * gpass) / _pow10m1(0.1 * gstop)
      arg0 = 1.0 / nat
      d0 = special.ellipk(arg0**2), special.ellipkm1(arg0**2)
      d1 = special.ellipk(arg1_sq), special.ellipkm1(arg1_sq)
      ord = int(cupy.ceil(d0[0] * d1[1] / (d0[1] * d1[0])))
  
      wn = _postprocess_wn(passb, analog, fs)
  
      return ord, wn
  
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 46 for calling a global function with example usage: ellipord(wp, ws, gpass, gstop, analog, fs) and returns: ord,  wn