code: def findfreqs(num, den, N, kind="ba"):
      """
      Find array of frequencies for computing the response of an analog filter.
  
      Parameters
      ----------
      num, den : array_like, 1-D
          The polynomial coefficients of the numerator and denominator of the
          transfer function of the filter or LTI system, where the coefficients
          are ordered from highest to lowest degree. Or, the roots  of the
          transfer function numerator and denominator (i.e., zeroes and poles).
      N : int
          The length of the array to be computed.
      kind : str {'ba', 'zp'}, optional
          Specifies whether the numerator and denominator are specified by their
          polynomial coefficients ('ba'), or their roots ('zp').
  
      Returns
      -------
      w : (N,) ndarray
          A 1-D array of frequencies, logarithmically spaced.
  
      Warning
      -------
      This function may synchronize the device.
  
      See Also
      --------
      scipy.signal.find_freqs
  
      Examples
      --------
      Find a set of nine frequencies that span the "interesting part" of the
      frequency response for the filter with the transfer function
  
          H(s) = s / (s^2 + 8s + 25)
  
      >>> from scipy import signal
      >>> signal.findfreqs([1, 0], [1, 8, 25], N=9)
      array([  1.00000000e-02,   3.16227766e-02,   1.00000000e-01,
               3.16227766e-01,   1.00000000e+00,   3.16227766e+00,
               1.00000000e+01,   3.16227766e+01,   1.00000000e+02])
      """
      if kind == "ba":
          ep = cupy.atleast_1d(roots(den)) + 0j
          tz = cupy.atleast_1d(roots(num)) + 0j
      elif kind == "zp":
          ep = cupy.atleast_1d(den) + 0j
          tz = cupy.atleast_1d(num) + 0j
      else:
          raise ValueError("input must be one of {'ba', 'zp'}")
  
      if len(ep) == 0:
          ep = cupy.atleast_1d(-1000) + 0j
  
      ez = cupy.r_[
          cupy.compress(ep.imag >= 0, ep, axis=-1),
          cupy.compress((abs(tz) < 1e5) & (tz.imag >= 0), tz, axis=-1),
      ]
  
      integ = cupy.abs(ez) < 1e-10
      hfreq = cupy.around(
          cupy.log10(
              cupy.max(3 * cupy.abs(ez.real + integ) + 1.5 * ez.imag)
          )
          + 0.5
      )
      lfreq = cupy.around(
          cupy.log10(
              0.1 * cupy.min(cupy.abs((ez + integ).real) + 2 * ez.imag)
          )
          - 0.5
      )
      w = cupy.logspace(lfreq, hfreq, N)
      return w
  
imports: import operator
  from math import pi
  import warnings
  import cupy
  from cupy.polynomial.polynomial import polyval, polyvalfromroots
  import cupyx.scipy.fft
  from cupyx import jit
  from cupyx.scipy._lib._util import float_factorial
  from cupyx.scipy.signal._polyutils import roots
label_desc: Use image node_id 2 for calling a global function with example usage: findfreqs(num, den, N, kind) and returns: w