This code defines a function `isPowerOfTwo` that determines whether a...
August 30, 2025 at 06:28 AM
This code defines a function isPowerOfTwo
that determines whether a given number n
is a power of two or not. Here's how it works:
- The function uses an infinite
for
loop (for(int i = 0;; i++)
), iterating with the variablei
starting from 0. - In each iteration:
- The value of (2^i) (2 raised to the power of
i
) is calculated usingstd::pow(2, i)
and stored in the variablecurrentPower
. - If
currentPower
becomes greater thann
, the function immediately returnsfalse
becausen
cannot be a power of two. - If
currentPower
is equal ton
, the function returnstrue
, indicating thatn
is indeed a power of two.
- The value of (2^i) (2 raised to the power of
- The loop continues until one of the above conditions is met.
Example Behavior:
- If
n = 8
, the function returnstrue
because (2^3 = 8). - If
n = 7
, the function returnsfalse
because (7) is not a power of two. - If
n = 0
or a negative number, the loop eventually checks all powers of two larger thann
and returnsfalse
.
Efficiency Concerns:
- This implementation is functional but inefficient. It repeatedly calculates (2^i) using
std::pow
, which can be computationally expensive and imprecise for large values ofi
. - A much more efficient way to check if a number is a power of two would be to use bitwise operations or simple arithmetic without looping. For example:
bool isPowerOfTwo(long n) { return (n > 0) && ((n & (n - 1)) == 0); }
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