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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.
npm install @stdlib/math-base-special-dirac-deltaAlternatively,
- To load the package in a website via a
scripttag without installation and bundlers, use the ES Module available on theesmbranch (see README). - If you are using Deno, visit the
denobranch (see README for usage intructions). - For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the
umdbranch (see README).
The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.
To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
var diracDelta = require( '@stdlib/math-base-special-dirac-delta' );Evaluates the Dirac delta function.
var v = diracDelta( 0.0 );
// returns Infinity
v = diracDelta( 3.14 );
// returns 0.0
v = diracDelta( NaN );
// returns NaNvar 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 ] ) );
}#include "stdlib/math/base/special/dirac_delta.h"Evaluates the Dirac delta function.
double x = stdlib_base_dirac_delta( 0.0 );
// returns Infinity
x = stdlib_base_dirac_delta( 3.14 );
// returns 0.0The function accepts the following arguments:
- x:
[in] doubleinput value.
double stdlib_base_dirac_delta( const double x );#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 );
}
}@stdlib/math-base/special/kronecker-delta: evaluate the Kronecker delta.
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.
See LICENSE.
Copyright © 2016-2024. The Stdlib Authors.
