This `isPowerOfTwo` function checks if a given number `n` is...
August 30, 2025 at 06:28 AM
This isPowerOfTwo
function checks if a given number n
is a power of two. Here's what the code does step by step:
-
Defines a function
isPowerOfTwo
that takes a reference to a constant long integern
as its argument. -
It uses a for-loop that initializes an integer variable
i = 0
and runs indefinitely (for(int i = 0;;i++)
), effectively making it an infinite loop. -
Inside the loop:
- The function calculates
pow(2, i)
to determine the current power of 2 for the current value ofi
. This is assigned to the variablecurrentPower
. - If
currentPower > n
, the loop returnsfalse
, as no further powers of 2 can matchn
. - If
currentPower == n
, the loop returnstrue
, asn
is equal to a power of 2.
- The function calculates
-
If none of the above conditions are met, the loop increments
i
and calculates the next power of 2, repeating the process.
Behavior:
- If
n
is a power of 2 (e.g., 1, 2, 4, 8, 16, etc.), the function will returntrue
. - If
n
is not a power of 2, the function will returnfalse
after determining that no power of 2 equalsn
.
Issues in the Code:
- Inefficiency: Using
pow(2, i)
in every iteration is unnecessary and computationally expensive. Instead, you could calculate powers of 2 iteratively (e.g.,currentPower *= 2
) to improve efficiency. - Precision Problems: The use of
pow
for whole numbers may introduce floating-point precision errors, potentially leading to incorrect results for large values ofn
. - Edge Cases: If
n
is negative or zero, the function doesn't explicitly handle them, potentially leading to incorrect results or undefined behavior.
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