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5 changes: 3 additions & 2 deletions maths/continued_fraction.py
Original file line number Diff line number Diff line change
Expand Up @@ -5,7 +5,6 @@
"""

from fractions import Fraction
from math import floor


def continued_fraction(num: Fraction) -> list[int]:
Expand Down Expand Up @@ -35,11 +34,13 @@ def continued_fraction(num: Fraction) -> list[int]:
[0, 1, 3]
>>> continued_fraction(Fraction("-2.25")) # -2.25 = -3 + 0.75
[-3, 1, 3]
>>> continued_fraction(Fraction(2**53 + 3))
[9007199254740995]
"""
numerator, denominator = num.as_integer_ratio()
continued_fraction_list: list[int] = []
while True:
integer_part = floor(numerator / denominator)
integer_part = numerator // denominator
continued_fraction_list.append(integer_part)
numerator -= integer_part * denominator
if numerator == 0:
Expand Down
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