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Evaluate the Heaviside function.
The Heaviside function is defined as
and is discontinuous at 0. Depending on the context, the Heaviside function may be defined as a continuous function. To define the Heaviside function such that the function has rotational symmetry,
To define the Heaviside function as a left-continuous function,
To define the Heaviside function as a right-continuous function,
npm install @stdlib/math-base-special-heavisideAlternatively,
- 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 heaviside = require( '@stdlib/math-base-special-heaviside' );Evaluates the Heaviside function.
var v = heaviside( 3.14 );
// returns 1.0
v = heaviside( -3.14 );
// returns 0.0
v = heaviside( NaN );
// returns NaNThe continuity parameter may be one of the following values:
'half-maximum': ifx == 0, the function returns0.5.'left-continuous': ifx == 0, the function returns0.0.'right-continuous': ifx == 0, the function returns1.0.
By default, the function is discontinuous at 0.
var v = heaviside( 0.0 );
// returns NaNTo define the Heaviside function as a continuous function, set the continuity parameter.
var v = heaviside( 0.0, 'half-maximum' );
// returns 0.5
v = heaviside( 0.0, 'left-continuous' );
// returns 0.0
v = heaviside( 0.0, 'right-continuous' );
// returns 1.0var linspace = require( '@stdlib/array-base-linspace' );
var heaviside = require( '@stdlib/math-base-special-heaviside' );
var x = linspace( -10.0, 10.0, 101 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'H(%d) = %d', x[ i ], heaviside( x[ i ] ) );
}@stdlib/math-base/special/ramp: evaluate the ramp function.
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.
