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## encoding continuous temporal variable into cyclical components
def tocyclical(data:'dataframe',scol:str,ifreq:int)-> 'dataframe':
    """
    Encoding continuous temporal variable into cyclical components.
    data -- dataframe with any temporal column to be converted.
    scol -- variable name to be converted.
    ifreq -- frequency of the temporal variable to be converted. For example, for "dow" ifreq should 7.
    return -- input dataframe with the new cyclical components included.
    
    NOTE: it is not robust with NaN values.
    """
    from numpy import pi
    # compute the cyclical components
    data['%s_sin'%scol] = np.sin(2*pi*data[scol]/ifreq)
    data['%s_cos'%scol] = np.cos(2*pi*data[scol]/ifreq)
    # return 
    return data
    
    
if __name__ == '__main__':
  data = tocyclical(data,'dow',7)
  data = tocyclical(data,'month',12)