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"""

Demonstrate difference between Arithmetic Progression calculated

as a series of increments accumulating errors versus one addition

and one multiplication.

"""

from fractions import Fraction

from aritprog_v0 import ArithmeticProgression as APv0

from aritprog_v1 import ArithmeticProgression as APv1

if __name__ == '__main__':

ap0 = iter(APv0(1, .1))

ap1 = iter(APv1(1, .1))

ap_frac = iter(APv1(Fraction(1, 1), Fraction(1, 10)))

epsilon = 10**-10

iteration = 0

delta = next(ap0) - next(ap1)

frac = next(ap_frac)

while abs(delta) <= epsilon:

delta = next(ap0) - next(ap1)

frac = next(ap_frac)

iteration += 1

print('iteration: {}\tfraction: {}\tepsilon: {}\tdelta: {}'.

format(iteration, frac, epsilon, delta))