Find the Ceiling of a Number in JavaScript
Given a floating-point number, your task is to find its ceiling value. The ceiling of a number is the smallest integer that is greater than or equal to the number. This is a fundamental operation in programming, often used in scenarios like calculating resource allocation, rounding up for divisibility, or determining the next whole unit.
Problem Description
You will be provided with a single floating-point number as input. Your goal is to implement a JavaScript function that returns the ceiling of this number.
Requirements:
- The function should accept one argument: a number (which can be an integer or a float).
- The function should return an integer representing the ceiling of the input number.
- You should use JavaScript's built-in mathematical functions if appropriate, but the core logic of finding the ceiling should be evident.
Expected Behavior:
- If the input is an integer, the ceiling is the number itself.
- If the input is a positive float, the ceiling is the next greater integer.
- If the input is a negative float, the ceiling is the integer closer to zero (which is greater than the float).
Edge Cases:
- Consider the input
0. - Consider negative floating-point numbers.
Examples
Example 1:
Input: 4.2
Output: 5
Explanation: The smallest integer greater than or equal to 4.2 is 5.
Example 2:
Input: -3.7
Output: -3
Explanation: The smallest integer greater than or equal to -3.7 is -3.
Example 3:
Input: 7
Output: 7
Explanation: Since 7 is an integer, its ceiling is itself.
Example 4:
Input: 0
Output: 0
Explanation: The smallest integer greater than or equal to 0 is 0.
Constraints
- The input will always be a valid JavaScript number.
- The input number will be within the standard JavaScript number range.
- The solution should be efficient, with a time complexity that does not exceed O(1).
Notes
JavaScript provides a built-in Math.ceil() function. While using it directly would be the most idiomatic solution, consider the underlying logic if you were to implement it without Math.ceil() for a deeper understanding. Think about how integer division or modulo operations might play a role, or how to adjust a number based on its fractional part.