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19 changes: 18 additions & 1 deletion maths/power_using_recursion.py
Original file line number Diff line number Diff line change
Expand Up @@ -15,18 +15,35 @@

def power(base: int, exponent: int) -> float:
"""
power(3, 4)
>>> power(3, 4)
81
>>> power(2, 0)
1
>>> all(power(base, exponent) == pow(base, exponent)
... for base in range(-10, 10) for exponent in range(10))
True
>>> power('a', 1)
'a'
>>> power('a', 2)
Traceback (most recent call last):
...
TypeError: can't multiply sequence by non-int of type 'str'
>>> power('a', 'b')
Traceback (most recent call last):
...
TypeError: unsupported operand type(s) for -: 'str' and 'int'
>>> power(2, -1)
Traceback (most recent call last):
...
RecursionError: maximum recursion depth exceeded
"""
return base * power(base, (exponent - 1)) if exponent else 1


if __name__ == "__main__":
from doctests import testmod

testmod()
print("Raise base to the power of exponent using recursion...")
base = int(input("Enter the base: ").strip())
exponent = int(input("Enter the exponent: ").strip())
Expand Down