mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-27 15:01:08 +00:00
34 lines
686 B
Python
34 lines
686 B
Python
|
def actual_power(a: int, b: int):
|
||
|
"""
|
||
|
Function using divide and conquer to calculate a^b.
|
||
|
It only works for integer a,b.
|
||
|
"""
|
||
|
if b == 0:
|
||
|
return 1
|
||
|
if (b % 2) == 0:
|
||
|
return actual_power(a, int(b / 2)) * actual_power(a, int(b / 2))
|
||
|
else:
|
||
|
return a * actual_power(a, int(b / 2)) * actual_power(a, int(b / 2))
|
||
|
|
||
|
|
||
|
def power(a: int, b: int) -> float:
|
||
|
"""
|
||
|
>>> power(4,6)
|
||
|
4096
|
||
|
>>> power(2,3)
|
||
|
8
|
||
|
>>> power(-2,3)
|
||
|
-8
|
||
|
>>> power(2,-3)
|
||
|
0.125
|
||
|
>>> power(-2,-3)
|
||
|
-0.125
|
||
|
"""
|
||
|
if b < 0:
|
||
|
return 1 / actual_power(a, b)
|
||
|
return actual_power(a, b)
|
||
|
|
||
|
|
||
|
if __name__ == "__main__":
|
||
|
print(power(-2, -3))
|