This `isPowerOfTwo` function checks if a given number `n` is...

August 30, 2025 at 06:28 AM

bool isPowerOfTwo(const long &n){ for(int i = 0;;i++){ long currentPower = pow(2, i); if(currentPower > n){ return false; }else if(currentPower == n){ return true; } } }

This isPowerOfTwo function checks if a given number n is a power of two. Here's what the code does step by step:

  1. Defines a function isPowerOfTwo that takes a reference to a constant long integer n as its argument.

  2. 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.

  3. Inside the loop:

    • The function calculates pow(2, i) to determine the current power of 2 for the current value of i. This is assigned to the variable currentPower.
    • If currentPower > n, the loop returns false, as no further powers of 2 can match n.
    • If currentPower == n, the loop returns true, as n is equal to a power of 2.
  4. 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 return true.
  • If n is not a power of 2, the function will return false after determining that no power of 2 equals n.

Issues in the Code:

  1. 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.
  2. Precision Problems: The use of pow for whole numbers may introduce floating-point precision errors, potentially leading to incorrect results for large values of n.
  3. 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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