@stdlib/math-base-special-dirac-delta
v0.2.4TypeScript
Evaluate the Dirac delta function.
194/weekUpdated 4 days agoApache-2.0Unpacked: 46.5 KB
Published by The Stdlib Authors
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Dirac Delta
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> Evaluate the [Dirac delta function][dirac-delta-function].
The [Dirac delta function][dirac-delta-function] may be loosely defined as
and is constrained to satisfy the identity
Note that the [Dirac delta function][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
``bash`
npm install @stdlib/math-base-special-dirac-delta
Usage
`javascript`
var diracDelta = require( '@stdlib/math-base-special-dirac-delta' );
#### diracDelta( x )
Evaluates the [Dirac delta function][dirac-delta-function].
`javascript
var v = diracDelta( 0.0 );
// returns Infinity
v = diracDelta( 3.14 );
// returns 0.0
v = diracDelta( NaN );
// returns NaN
`
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var diracDelta = require( '@stdlib/math-base-special-dirac-delta' );
var opts = {
'dtype': 'float64'
};
var x = uniform( 100, -1.0, 1.0, opts );
logEachMap( 'dirac(%0.4f) = %0.4f', x, diracDelta );
`
*
C APIs
$3
`c`
#include "stdlib/math/base/special/dirac_delta.h"
#### stdlib_base_dirac_delta( x )
Evaluates the [Dirac delta function][dirac-delta-function].
`c
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.
`c`
double stdlib_base_dirac_delta( const double x );
$3
`c
#include "stdlib/math/base/special/dirac_delta.h"
#include
#include
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 );
}
}
`
*
See Also
- [@stdlib/math-base/special/kronecker-delta][@stdlib/math/base/special/kronecker-delta]: evaluate the Kronecker delta.
*
Notice
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
#### Community
[![Chat][chat-image]][chat-url]
---
License
See [LICENSE][stdlib-license].
Copyright
Copyright © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[umd]: https://github.com/umdjs/umd
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[esm-url]: https://github.com/stdlib-js/math-base-special-dirac-delta/tree/esm
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[dirac-delta-function]: https://en.wikipedia.org/wiki/Dirac_delta_function
[@stdlib/math/base/special/kronecker-delta]: https://www.npmjs.com/package/@stdlib/math-base-special-kronecker-delta