@stdlib/constants-float16-eps
v0.2.3TypeScript
Difference between one and the smallest value greater than one that can be represented as a half-precision floating-point number.
0/weekUpdated yesterdayApache-2.0Unpacked: 28.9 KB
Published by The Stdlib Authors
npm install @stdlib/constants-float16-epsWe 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!
About stdlib...
Epsilon
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
> Difference between one and the smallest value greater than one that can be represented as a [half-precision floating-point number][half-precision-floating-point-format].
[Epsilon][machine-epsilon] is defined as
where b is the radix (base) and p is the precision (number of radix bits in the significand). For [half-precision floating-point numbers][half-precision-floating-point-format], b is 2 and p is 11.
Installation
``bash`
npm install @stdlib/constants-float16-eps
Usage
`javascript`
var FLOAT16_EPSILON = require( '@stdlib/constants-float16-eps' );
#### FLOAT16_EPSILON
Difference between one and the smallest value greater than one that can be represented as a [half-precision floating-point number][half-precision-floating-point-format].
`javascript`
var bool = ( FLOAT16_EPSILON === 0.0009765625 );
// 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_EPSILON = require( '@stdlib/constants-float16-eps' );
var bool;
var a;
var b;
var i;
function isApprox( a, b ) {
var delta;
var tol;
delta = abs( a - b );
tol = FLOAT16_EPSILON * maxabs( a, b );
return ( delta <= tol );
}
for ( i = 0; i < 100; i++ ) {
a = randu() * 10.0;
b = a + (randu()*2.0e-3) - 1.0e-3;
bool = isApprox( a, b );
console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
}
`
*
See Also
- [@stdlib/constants-float32/eps][@stdlib/constants/float32/eps]: difference between one and the smallest value greater than one that can be represented as a single-precision floating-point number.
- [@stdlib/constants-float64/eps][@stdlib/constants/float64/eps]: difference between one and the smallest value greater than one that can be represented as a double-precision floating-point number.
*
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].
[npm-image]: http://img.shields.io/npm/v/@stdlib/constants-float16-eps.svg
[npm-url]: https://npmjs.org/package/@stdlib/constants-float16-eps
[test-image]: https://github.com/stdlib-js/constants-float16-eps/actions/workflows/test.yml/badge.svg?branch=v0.2.3
[test-url]: https://github.com/stdlib-js/constants-float16-eps/actions/workflows/test.yml?query=branch:v0.2.3
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/constants-float16-eps/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/constants-float16-eps?branch=main
[chat-image]: https://img.shields.io/badge/zulip-join_chat-brightgreen.svg
[chat-url]: https://stdlib.zulipchat.com
[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-eps/tree/deno
[deno-readme]: https://github.com/stdlib-js/constants-float16-eps/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/constants-float16-eps/tree/umd
[umd-readme]: https://github.com/stdlib-js/constants-float16-eps/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/constants-float16-eps/tree/esm
[esm-readme]: https://github.com/stdlib-js/constants-float16-eps/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/constants-float16-eps/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/constants-float16-eps/main/LICENSE
[half-precision-floating-point-format]: https://en.wikipedia.org/wiki/Half-precision_floating-point_format
[machine-epsilon]: https://en.wikipedia.org/wiki/Machine_epsilon
[@stdlib/constants/float32/eps]: https://www.npmjs.com/package/@stdlib/constants-float32-eps
[@stdlib/constants/float64/eps]: https://www.npmjs.com/package/@stdlib/constants-float64-eps