python - Why is the output of my function in binary? -


i wrote differentiable heaviside function , vectorised it. however, output seems odd , binary. code follows:

import numpy np import matplotlib.pyplot plt  def heaviside(x, epis):     if (x>= epis):         y=1     elif (x< -epis):         y=0;     else:         y = 0.5 + x/(2*epis) + np.sin(np.pi*x/epis)/(2*np.pi);      print (x, y);     return y;  x1 = np.linspace(-1, 1, 100); vheaviside = np.vectorize(heaviside); y1 = vheaviside(x1, 0.2); plt.plot(x1, y1, 'b', alpha=0.3) plt.show()

the input array in [-1, 1], , outputs supposed continuous heaviside function. however, of output 0 or 1. why?

a simpler , more efficient way of defining vectorized heaviside function numpy using numpy.piecewise:

def heaviside(x, epis):     return np.piecewise(x, (x>=epis, x<-epis),              (1, 0, lambda x: 0.5 + x/(2*epis) + np.sin(np.pi*x/epis)/(2*np.pi) ) )

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