## org.apache.commons.math3.analysis.function Class Sinc

```java.lang.Object
org.apache.commons.math3.analysis.function.Sinc
```
All Implemented Interfaces:
DifferentiableUnivariateFunction, UnivariateDifferentiableFunction, UnivariateFunction

`public class Sincextends Objectimplements UnivariateDifferentiableFunction, DifferentiableUnivariateFunction`

Sinc function, defined by

``````
sinc(x) = 1            if x = 0,
sin(x) / x   otherwise.
``````

Since:
3.0
Version:
\$Id: Sinc.java 1383441 2012-09-11 14:56:39Z luc \$

Constructor Summary
`Sinc()`
The sinc function, `sin(x) / x`.
`Sinc(boolean normalized)`
Instantiates the sinc function.

Method Summary
` UnivariateFunction` `derivative()`
Deprecated. as of 3.1, replaced by `value(DerivativeStructure)`
` DerivativeStructure` `value(DerivativeStructure t)`
Simple mathematical function.
` double` `value(double x)`
Compute the value of the function.

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Constructor Detail

### Sinc

`public Sinc()`
The sinc function, `sin(x) / x`.

### Sinc

`public Sinc(boolean normalized)`
Instantiates the sinc function.

Parameters:
`normalized` - If `true`, the function is ` sin(πx) / πx`, otherwise `sin(x) / x`.
Method Detail

### value

`public double value(double x)`
Compute the value of the function.

Specified by:
`value` in interface `UnivariateFunction`
Parameters:
`x` - Point at which the function value should be computed.
Returns:
the value of the function.

### derivative

```@Deprecated
public UnivariateFunction derivative()```
Deprecated. as of 3.1, replaced by `value(DerivativeStructure)`

Returns the derivative of the function

Specified by:
`derivative` in interface `DifferentiableUnivariateFunction`
Returns:
the derivative function

### value

`public DerivativeStructure value(DerivativeStructure t)`
Simple mathematical function.

`UnivariateDifferentiableFunction` classes compute both the value and the first derivative of the function.

Specified by:
`value` in interface `UnivariateDifferentiableFunction`
Parameters:
`t` - function input value
Returns:
function result
Since:
3.1