The ** erfl function** is defined in the

`<tgmath.h>`

header file in C. It takes in a single parameter: a `long double`

value. It then computes the error function of the given argument and returns a value of type `long double`

.The

erf $z$ = $\frac{2}{\sqrt{\pi}}$ $\int_{0}^{arg} e^{-t^2} dt$

The argument to the

`erfl`

function serves as the upper limit in the integral above.

The error function is often used in probability and statistics. It integrates the normal distribution and gives the probability that a normally distributed random variable Y (with mean 0 and variance ½) falls into the range [−x, x].

The illustration below shows how the `erfl`

function works:

The `erfl`

function is defined as follows:

```
long double erfl(long double arg);
```

It takes in a single value of type `long double`

and computes its error function. It then returns the answer of type `long double`

.

The `erfl`

function returns special values for certain arguments:

- If the argument is ±0, ±0 is returned
- If the argument is ±$\infty$, ± $\infty$ is returned
- If the argument is
`NAN`

,`NAN`

is returned

The following code snippet shows how we can use the `erfl`

function:

#include <stdio.h> // Including header file for printf function#include <math.h> // Including header file for erf functionint main (){long double param, result;param = 2.0;result = erfl(param);printf("erfl (%Lf) = %Lf\n", param, result);return 0;}

The following code snippet shows how error handling in the `erfl`

function works:

#include <stdio.h> // Including header file for printf function#include <math.h> // Including header file for erf functionint main (){long double param = 0.0;printf("erfl (%Lf) = %Lf\n", param, erfl(0.0));return 0;}

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