Matlab Question : Regarding the check for possible numerators to go along with q, would the same output be obtained if we just checked round(pi/q) instead of both floor(pi/q) and ceil(pi/q)?

refer to the script pictured below:

asterE otepa File Edit Format View Help % Script FasterEg3_1 % Rational Approximation of pi % Acquire the numerator/denominator limit M input(' Enter M: ' ); % Initializations pBest = 1; qBest 1; err_pq abs(pBest/qBest - D1); % Error in current best fraction % Best numerator found so far.. % Best denominator .. found so far . % Check out all possible denominators for q = 1: cell(M/pi) % For this q, find the best numerator pe errMinus abs(p1 pMinus/g); pMinus = floor(pi'q); if errMinus