code: def _check_sakoe_chiba_params(
      n_timestamps_1, n_timestamps_2, window_size
  ):
      """Check and set some parameters of the sakoe-chiba band."""
      if not isinstance(n_timestamps_1, (int, np.integer)):
          raise TypeError("'n_timestamps_1' must be an integer.")
      else:
          if not n_timestamps_1 >= 2:
              raise ValueError(
                  "'n_timestamps_1' must be an integer greater than"
                  " or equal to 2."
              )
      if not isinstance(
          window_size, (int, np.integer, float, np.floating)
      ):
          raise TypeError(
              "'window_size' must be an integer or a float."
          )
      n_timestamps = max(n_timestamps_1, n_timestamps_2)
  
      if isinstance(window_size, (float, np.floating)):
          if not 0.0 <= window_size <= 1.0:
              raise ValueError(
                  "The given 'window_size' is a float, "
                  "it must be between "
                  "0. and 1. To set the size of the sakoe-chiba "
                  "manually, 'window_size' must be an integer."
              )
          window_size = ceil(window_size * (n_timestamps - 1))
      else:
          if not 0 <= window_size <= (n_timestamps - 1):
              raise ValueError(
                  "The given 'window_size' is an integer, it must "
                  "be greater "
                  "than or equal to 0 and lower than max('n_timestamps_1', "
                  "'n_timestamps_2')."
              )
  
      scale = (n_timestamps_2 - 1) / (n_timestamps_1 - 1)
  
      if n_timestamps_2 > n_timestamps_1:
          window_size = max(window_size, scale / 2)
          horizontal_shift = 0
          vertical_shift = window_size
      elif n_timestamps_1 > n_timestamps_2:
          window_size = max(window_size, 0.5 / scale)
          horizontal_shift = window_size
          vertical_shift = 0
      else:
          horizontal_shift = 0
          vertical_shift = window_size
      return scale, horizontal_shift, vertical_shift
  
imports: import numpy
  from math import ceil, log2, sqrt
  from numba import njit, prange
  from sklearn.utils import check_array
label_desc: Use image node_id 17 for calling a global function with example usage: _check_sakoe_chiba_params(n_timestamps_1, n_timestamps_2, window_size) and returns: scale,  horizontal_shift,  vertical_shift