erf(x)
Overview
The erf function computes the error function of a given real number x . The error function is defined as:
\text{erf}(x) = \frac{2}{\sqrt{\pi}} \int_{0}^{x} e^{-t^2} dt
In this implementation, the error function is approximated by a series expansion up to 100 terms.
Parameters
| Parameter Name | Type | Description | Required | Default Value |
|---|---|---|---|---|
x |
number | The real number for which the error function will be computed. | Yes | N/A |
Returns
| Type | Description | Possible Values |
|---|---|---|
| number | The error function value of the input x . | Any real number |
Constraints
- The
xparameter must be a real number.
Example Use
local number = 1.0
-- The error function of 1.0 will be calculated
local result = StatBook.erf(number)
-- Output will be the error function value for 1.0
print(result)