org.apache.commons.math.special

## Class Erf

• java.lang.Object
• org.apache.commons.math.special.Erf

• ```public class Erf
extends java.lang.Object```
This is a utility class that provides computation methods related to the error functions.
• ### Method Summary

All Methods
Modifier and Type Method and Description
`static double` `erf(double x)`
Returns the error function
`static double` `erfc(double x)`
Returns the complementary error function
• ### Methods inherited from class java.lang.Object

`equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`
• ### Method Detail

• #### erf

```public static double erf(double x)
throws MathException```

Returns the error function

erf(x) = 2/√π 0x e-t2dt

This implementation computes erf(x) using the `regularized gamma function`, following Erf, equation (3)

The value returned is always between -1 and 1 (inclusive). If `abs(x) > 40`, then `erf(x)` is indistinguishable from either 1 or -1 as a double, so the appropriate extreme value is returned.

Parameters:
`x` - the value.
Returns:
the error function erf(x)
Throws:
`MathException` - if the algorithm fails to converge.
`Gamma.regularizedGammaP(double, double, double, int)`
• #### erfc

```public static double erfc(double x)
throws MathException```

Returns the complementary error function

erfc(x) = 2/√π x e-t2dt
= 1 - `erf(x)`

This implementation computes erfc(x) using the `regularized gamma function`, following Erf, equation (3).

The value returned is always between 0 and 2 (inclusive). If `abs(x) > 40`, then `erf(x)` is indistinguishable from either 0 or 2 as a double, so the appropriate extreme value is returned.

Parameters:
`x` - the value
Returns:
the complementary error function erfc(x)
Throws:
`MathException` - if the algorithm fails to converge
Since:
2.2
`Gamma.regularizedGammaQ(double, double, double, int)`