text: # -*- coding: utf-8 -*-
  
  from numpy import arcsin, cos, pi, sin
  
  
  def comp_surface(self):
      """Compute the Slot total surface (by analytical computation).
      Caution, the bottom of the Slot is an Arc
  
      Parameters
      ----------
      self : SlotW14
          A SlotW14 object
  
      Returns
      -------
      S: float
          Slot total surface [m**2]
  
      """
  
      Rbo = self.get_Rbo()
      point_dict = self._comp_point_coordinate()
      Z1 = point_dict["Z1"]
      Z2 = point_dict["Z2"]
      Z3 = point_dict["Z3"]
      Z4 = point_dict["Z4"]
      Z5 = point_dict["Z5"]
      Z6 = point_dict["Z6"]
      Z7 = point_dict["Z7"]
      Z8 = point_dict["Z8"]
      Z9 = point_dict["Z9"]
      W1 = abs(Z7.imag) * 2
  
      S1 = (W1 + self.W0) * self.H1 / 2
      S0 = self.W0 * self.H0
  
      # The bottom is an arc
      alpha = self.comp_angle_opening()
      Sarc = (Rbo ** 2.0) / 2.0 * (alpha - sin(alpha))
  
      Swind = self.comp_surface_active()
  
      if self.is_outwards():
          return S1 + S0 + Swind - Sarc
      else:
          return S1 + S0 + Swind + Sarc
  