# Ceil and Floor functions in C++

In mathematics and computer science, the floor and ceiling functions map a real number to the greatest preceding or the least succeeding integer, respectively.

floor(x) : Returns the largest integer that is smaller than or equal to x (i.e : rounds downs the nearest integer).

```// Here x is the floating point value.
// Returns the largest integer smaller
// than or equal to x
double floor(double x)  ```

Examples of Floor:

```Input : 2.5
Output : 2

Input : -2.1
Output : -3

Input : 2.9
Output : 2
```
```// C++ program to demonstrate floor function
#include <iostream>
#include <cmath>
using namespace std;

// Driver function
int main()
{
// using floor function which return
// floor of input value
cout << "Floor is : " << floor(2.3) << endl;
cout << "Floor is : " << floor(-2.3) << endl;

return 0;
}
```

Output:

```Floor is : 2
Floor is : -3
```

ceil(x) : Returns the smallest integer that is greater than or equal to x (i.e : rounds up the nearest integer).

```// Here x is the floating point value.
// Returns the smallest integer greater
// than or equal to x
double ceiling(double x)  ```

Examples of Ceil:

```Input : 2.5
Output : 3

Input : -2.1
Output : -2

Input : 2.9
Output : 3
```
```// C++ program to demonstrate ceil function
#include <iostream>
#include <cmath>
using namespace std;

// Driver function
int main()
{
// using ceil function which return
// floor of input value
cout << " Ceil is : " << ceil(2.3) << endl;
cout << " Ceil is : " << ceil(-2.3) << endl;

return 0;
}
```
```Ceil is : 3
Ceil is : -2
```

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