code: def smooth_45(self) -> List[float]:
      forty_five = math.pi / 4
      hi = max(1, len(self.value) // MIN_SMOOTH_POINTS)
      lo = 1
  
      while lo < hi:
          m = (lo + hi) // 2
          smoothed = self.smooth_value(m)
          angle = self.mean_angle(smoothed, 0.5)
          if angle > forty_five:
              lo = m + 1
          else:
              hi = m
  
      return self.smooth_value(hi)
  
imports: import math
  from typing import Dict, List, Optional, Union
  from datetime import datetime, timedelta
  import numpy
label_desc: Use image node_id 14 for calling the Series obj's underlying member method code with example usage: obj.smooth_45() and returns: self