Ceiling of x

The ceiling function, denoted as ( \lceil x \rceil ), gives the smallest integer that is greater than or equal to ( x ). In simpler terms, it rounds up the number to the nearest integer.

Java

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public static int ceilingOfX(double x) {
    return (int)Math.ceil(x);
}

In Java, the Math class has a built-in method ceil() that takes a double and returns the ceiling value as a double. We cast it to int for an integer result.

C++

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#include <cmath>
#include <iostream>
using namespace std;

int ceilingOfX(double x) {
    return (int)ceil(x);
}

In C++, the <cmath> library has a ceil() function similar to Java’s. It returns the ceiling value, which we then cast to int.

Python

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import math

def ceiling_of_x(x):
    return math.ceil(x)

In Python, the math library’s ceil() function returns an integer, so no casting is needed.

These implementations use the respective standard libraries of each language to find the ceiling value of ( x ), rounding up to the nearest integer.