An algorithm for testing whether an integer is a square by taking its square root as a floating point number and rounding to an integer is discussed.
The old algorithm assumes the integer can be represented exactly as a floating point number, which might not hold for large integers due to floating point number limitations.
A better algorithm using only integer operations is presented, which is a discrete analog of Newton's square root algorithm, capable of handling arbitrarily large integers in Python.
The new algorithm correctly handles cases that the original algorithm couldn't, providing more accurate results for large integers.