# @stdlib/math-base-special-dirac-delta

0.2.1 • Public • Published

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# Dirac Delta

Evaluate the Dirac delta function.

The Dirac delta function may be loosely defined as

-->

and is constrained to satisfy the identity

Note that the Dirac delta function is not a function in the traditional sense, as any real-valued function which is zero everywhere except at a single point, must have an integral equal to `0`.

## Installation

`npm install @stdlib/math-base-special-dirac-delta`

## Usage

`var diracDelta = require( '@stdlib/math-base-special-dirac-delta' );`

#### diracDelta( x )

Evaluates the Dirac delta function.

```var v = diracDelta( 0.0 );
// returns Infinity

v = diracDelta( 3.14 );
// returns 0.0

v = diracDelta( NaN );
// returns NaN```

## Examples

```var linspace = require( '@stdlib/array-base-linspace' );
var diracDelta = require( '@stdlib/math-base-special-dirac-delta' );

var x = linspace( -1.0, 1.0, 101 );

var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'dirac(%d) = %d', x[ i ], diracDelta( x[ i ] ) );
}```

## C APIs

### Usage

`#include "stdlib/math/base/special/dirac_delta.h"`

#### stdlib_base_dirac_delta( x )

Evaluates the Dirac delta function.

```double x = stdlib_base_dirac_delta( 0.0 );
// returns Infinity

x = stdlib_base_dirac_delta( 3.14 );
// returns 0.0```

The function accepts the following arguments:

• x: `[in] double` input value.
`double stdlib_base_dirac_delta( const double x );`

### Examples

```#include "stdlib/math/base/special/dirac_delta.h"
#include <stdlib.h>
#include <stdio.h>

int main( void ) {
const double x[] = { -1.0, -0.5, 0.0, 0.5, 1.0, 3.14, 2.0 };

double v;
int i;
for ( i = 0; i < 7; i++ ) {
v = stdlib_base_dirac_delta( x[ i ] );
printf( "dirac(%lf) = %lf\n", x[ i ], v );
}
}```

## Notice

This package is part of stdlib, a standard library for JavaScript and Node.js, with an emphasis on numerical and scientific computing. The library provides a collection of robust, high performance libraries for mathematics, statistics, streams, utilities, and more.

For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.

## Package Sidebar

### Install

`npm i @stdlib/math-base-special-dirac-delta`

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