from tabulate import tabulate
from numpy    import arange
from numpy    import pi as CONSTANT_P
from numpy    import sin

def get_function_tab_values( function, range_from, range_till, step ):

  function_values = []

  for x in arange(range_from, range_till + step, step):

    function_values.append( [ x, function(x) ] )

  return function_values

def tab_function( name, function, range_from, range_till, steps ):

  for step in steps:

    function_values = get_function_tab_values(function, range_from, range_till, step)

    print( 'Function: {0}, step: {1}'.format(name, step) )
    print( tabulate(function_values, headers=['x', 'y']) )
    print()



def function_1(x):
  return x ** 3

def function_2(x):
  return 4 * sin( CONSTANT_P * x + CONSTANT_P / 8 ) - 1



tab_function( 'x^3',            function_1,  -2,  2, [0.01, 0.1, 0.25] )
tab_function( '4sin(px+p/8)-1', function_2, -10, 10, [0.25, 1]         )