Floor Of Sqrt Of X

Given an integer x find it s square root.

Floor of sqrt of x.

Compute and return the square root of x where x is guaranteed to be a non negative integer. Implement int sqrt int x. The language apl uses x. The square root of 11 lies in between 3 and 4 so floor of the square root is 3.

X 11 output. Result 1 modifying the code you linked to is not a good idea since that code uses some properties of the newton raphson method of calculating the square root. For negative values of x the terms integral part or integer part of x are sometimes instead taken to be the value of the ceiling function i e the value of x rounded to an integer towards 0. Other computer languages commonly use notations like entier x int x basic ms excel or floor x c c r and python.

Since the return type is an integer the decimal digits are truncated and only the integer part of the result is returned. Otherwise the ceiling is one more than the square root. The inner one is redundant because the square root for any number in the interval x x 1 where x is an integer always lies within the interval floor sqrt x ceil sqrt x and therefore you don t need to floor a number before taking the square root of it if you are only interested the integer part of the result. The square root of 4 is 2 input.

X 4 output. The sqrt function s domain includes negative and complex numbers which can lead to unexpected results if used unintentionally. If x is an exact square the ceiling and the floor of the square root are equal. For the elements of x that are negative or complex sqrt x produces complex results.