code: def _eix(self):
      r"""Computes e^(i * self) where i is the imaginary unit.
      Returns (Re{e^(i * self)}, Im{e^(i * self)} = cos(self), sin(self)
      """
      iterations = cfg.functions.trig_iterations
  
      re = 1
      im = self.div(2**iterations)
  
      # First iteration uses knowledge that `re` is public and = 1
      re -= im.square()
      im *= 2
  
      # Compute (a + bi)^2 -> (a^2 - b^2) + (2ab)i `iterations` times
      for _ in range(iterations - 1):
          a2 = re.square()
          b2 = im.square()
          im = im.mul_(re)
          im._tensor *= 2
          re = a2 - b2
  
      return re, im
  
file_path: CrypTen/crypten/common/functions/approximations.py
imports: import math
  import crypten
  import torch
  from crypten.config import cfg
label_desc: Use image node_id 6 for calling a global function with example usage: _eix() and returns: re,  im