npm package: @stdlib/constants-float16-sqrt-eps
Description: Square root of half-precision floating-point epsilon.
Author: The Stdlib Authors
Latest version: 0.2.3

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# Square Root of Epsilon

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url] <!-- [![dependencies][dependencies-image]][dependencies-url] -->

> [Square root][@stdlib/math/base/special/sqrt] of [half-precision floating-point epsilon][@stdlib/constants/float16/eps].

<section class="installation">

## Installation

```bash
npm install @stdlib/constants-float16-sqrt-eps
```

</section>

<section class="usage">

## Usage

```javascript
var FLOAT16_SQRT_EPSILON = require( '@stdlib/constants-float16-sqrt-eps' );
```

#### FLOAT16_SQRT_EPSILON

[Square root][@stdlib/math/base/special/sqrt] of [half-precision floating-point epsilon][@stdlib/constants/float16/eps].

```javascript
var bool = ( FLOAT16_SQRT_EPSILON === 0.03125 );
// returns true
```

</section>

<!-- /.usage -->

<section class="examples">

## Examples

<!-- eslint no-undef: "error" -->

```javascript
var abs = require( '@stdlib/math-base-special-abs' );
var maxabs = require( '@stdlib/math-base-special-maxabs' );
var randu = require( '@stdlib/random-base-randu' );
var FLOAT16_SQRT_EPSILON = require( '@stdlib/constants-float16-sqrt-eps' );

var bool;
var a;
var b;
var i;

function isApprox( a, b ) {
    var delta;
    var tol;

    delta = abs( a - b );
    tol = FLOAT16_SQRT_EPSILON * maxabs( a, b );

    return ( delta <= tol );
}

for ( i = 0; i < 100; i++ ) {
    a = randu() * 10.0;
    b = a + (randu()*0.2) - 0.1;
    bool = isApprox( a, b );
    console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
}
```

</section>

<!-- /.examples -->

<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->

<section class="related">

* * *

## See Also

-   <span class="package-name">[`@stdlib/constants-float16/eps`][@stdlib/constants/float16/eps]</span><span class="delimiter">: </span><span class="description">difference between one and the smallest value greater than one that can be represented as a half-precision floating-point number.</span>
-   <span class="package-name">[`@stdlib/constants-float32/sqrt-eps`][@stdlib/constants/float32/sqrt-eps]</span><span class="delimiter">: </span><span class="description">square root of single-precision floating-point epsilon.</span>
-   <span class="package-name">[`@stdlib/constants-float64/sqrt-eps`][@stdlib/constants/float64/sqrt-eps]</span><span class="delimiter">: </span><span class="description">square root of double-precision floating-point epsilon.</span>

</section>

<!-- /.related -->

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<section class="main-repo" >

* * *

## 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 &copy; 2016-2026. The Stdlib [Authors][stdlib-authors].

</section>

<!-- /.stdlib -->

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[npm-url]: https://npmjs.org/package/@stdlib/constants-float16-sqrt-eps

[test-image]: https://github.com/stdlib-js/constants-float16-sqrt-eps/actions/workflows/test.yml/badge.svg?branch=v0.2.3
[test-url]: https://github.com/stdlib-js/constants-float16-sqrt-eps/actions/workflows/test.yml?query=branch:v0.2.3

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/constants-float16-sqrt-eps/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/constants-float16-sqrt-eps?branch=main

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[stdlib]: https://github.com/stdlib-js/stdlib

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[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules

[deno-url]: https://github.com/stdlib-js/constants-float16-sqrt-eps/tree/deno
[deno-readme]: https://github.com/stdlib-js/constants-float16-sqrt-eps/blob/deno/README.md
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[esm-readme]: https://github.com/stdlib-js/constants-float16-sqrt-eps/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/constants-float16-sqrt-eps/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/constants-float16-sqrt-eps/main/LICENSE

[@stdlib/math/base/special/sqrt]: https://www.npmjs.com/package/@stdlib/math-base-special-sqrt

<!-- <related-links> -->

[@stdlib/constants/float16/eps]: https://www.npmjs.com/package/@stdlib/constants-float16-eps

[@stdlib/constants/float32/sqrt-eps]: https://www.npmjs.com/package/@stdlib/constants-float32-sqrt-eps

[@stdlib/constants/float64/sqrt-eps]: https://www.npmjs.com/package/@stdlib/constants-float64-sqrt-eps

<!-- </related-links> -->

</section>

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