# Last edited on 2021-07-31 11:53:18 by jstolfi

from math import exp

def gauss_bell(x):
  # Gaussian bell function with mean 0, deviation 1, max value 1.
  # 
  # The function is truncated to zero at {|x| >= 9}, but is
  # correct to 16 decimals (absolute) nevertheless.
  #
  if abs(x) >= 9:
    w = 0.0
  else:
    w = exp(-x*x/2)
  return w
  # ----------------------------------------------------------------------