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https://github.com/stdlib-js/constants-float16-sqrt-eps
Square root of half-precision floating-point epsilon.
https://github.com/stdlib-js/constants-float16-sqrt-eps
16-bit 16bit const constant eps epsilon float float16 floating-point half half-precision ieee754 javascript math mathematics node node-js nodejs real stdlib
Last synced: 12 days ago
JSON representation
Square root of half-precision floating-point epsilon.
- Host: GitHub
- URL: https://github.com/stdlib-js/constants-float16-sqrt-eps
- Owner: stdlib-js
- License: apache-2.0
- Created: 2021-06-13T19:13:14.000Z (over 3 years ago)
- Default Branch: main
- Last Pushed: 2024-10-01T01:38:03.000Z (about 1 month ago)
- Last Synced: 2024-10-11T02:38:56.295Z (26 days ago)
- Topics: 16-bit, 16bit, const, constant, eps, epsilon, float, float16, floating-point, half, half-precision, ieee754, javascript, math, mathematics, node, node-js, nodejs, real, stdlib
- Language: JavaScript
- Homepage: https://github.com/stdlib-js/stdlib
- Size: 290 KB
- Stars: 2
- Watchers: 3
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- Changelog: CHANGELOG.md
- Contributing: CONTRIBUTING.md
- License: LICENSE
- Code of conduct: CODE_OF_CONDUCT.md
- Citation: CITATION.cff
- Security: SECURITY.md
Awesome Lists containing this project
README
About stdlib...
We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.
The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.
When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.
To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!
# Square Root of Epsilon
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> [Square root][@stdlib/math/base/special/sqrt] of [half-precision floating-point epsilon][@stdlib/constants/float16/eps].
## Installation
```bash
npm install @stdlib/constants-float16-sqrt-eps
```
Alternatively,
- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).
The [branches.md][branches-url] 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.
## 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
```
## Examples
```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 );
}
```
* * *
## See Also
- [`@stdlib/constants-float16/eps`][@stdlib/constants/float16/eps]: difference between one and the smallest value greater than one that can be represented as a half-precision floating-point number.
- [`@stdlib/constants-float32/sqrt-eps`][@stdlib/constants/float32/sqrt-eps]: square root of single-precision floating-point epsilon.
- [`@stdlib/constants-float64/sqrt-eps`][@stdlib/constants/float64/sqrt-eps]: square root of double-precision floating-point epsilon.
* * *
## 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 © 2016-2024. The Stdlib [Authors][stdlib-authors].
[npm-image]: http://img.shields.io/npm/v/@stdlib/constants-float16-sqrt-eps.svg
[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=main
[test-url]: https://github.com/stdlib-js/constants-float16-sqrt-eps/actions/workflows/test.yml?query=branch:main
[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
[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im
[stdlib]: https://github.com/stdlib-js/stdlib
[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
[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
[umd-url]: https://github.com/stdlib-js/constants-float16-sqrt-eps/tree/umd
[umd-readme]: https://github.com/stdlib-js/constants-float16-sqrt-eps/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/constants-float16-sqrt-eps/tree/esm
[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://github.com/stdlib-js/math-base-special-sqrt
[@stdlib/constants/float16/eps]: https://github.com/stdlib-js/constants-float16-eps
[@stdlib/constants/float32/sqrt-eps]: https://github.com/stdlib-js/constants-float32-sqrt-eps
[@stdlib/constants/float64/sqrt-eps]: https://github.com/stdlib-js/constants-float64-sqrt-eps