@stdlib/constants-float64-eps
v0.2.3TypeScript
Difference between one and the smallest value greater than one that can be represented as a double-precision floating-point number.
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Published by The Stdlib Authors
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EPS
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> Difference between one and the smallest value greater than one that can be represented as a [double-precision floating-point number][ieee754].
[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 [double-precision floating-point numbers][ieee754], b is 2 and p is 53.
Installation
``bash`
npm install @stdlib/constants-float64-eps
Usage
`javascript`
var EPS = require( '@stdlib/constants-float64-eps' );
#### EPS
Difference between one and the smallest value greater than one that can be represented as a [double-precision floating-point number][ieee754].
`javascript`
var bool = ( EPS === 2.220446049250313e-16 );
// returns true
Examples
`javascript
var abs = require( '@stdlib/math-base-special-abs' );
var max = require( '@stdlib/math-base-special-max' );
var randu = require( '@stdlib/random-base-randu' );
var EPS = require( '@stdlib/constants-float64-eps' );
var bool;
var a;
var b;
var i;
function isApprox( a, b ) {
var delta;
var tol;
delta = abs( a - b );
tol = EPS * max( abs( a ), abs( b ) );
return ( delta <= tol );
}
for ( i = 0; i < 100; i++ ) {
a = randu() * 10.0;
b = a + (randu()*5.0e-15) - 2.5e-15;
bool = isApprox( a, b );
console.log( '%d %s approximately equal to %d. Delta: %d.', a, ( bool ) ? 'is' : 'is not', b, abs( a - b ) );
}
`
*
C APIs
$3
`c`
#include "stdlib/constants/float64/eps.h"
#### STDLIB_CONSTANT_FLOAT64_EPS
Macro for the difference between one and the smallest value greater than one that can be represented as a [double-precision floating-point number][ieee754].
*
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.
*
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-float64-eps.svg
[npm-url]: https://npmjs.org/package/@stdlib/constants-float64-eps
[test-image]: https://github.com/stdlib-js/constants-float64-eps/actions/workflows/test.yml/badge.svg?branch=v0.2.3
[test-url]: https://github.com/stdlib-js/constants-float64-eps/actions/workflows/test.yml?query=branch:v0.2.3
[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/constants-float64-eps/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/constants-float64-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-float64-eps/tree/deno
[deno-readme]: https://github.com/stdlib-js/constants-float64-eps/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/constants-float64-eps/tree/umd
[umd-readme]: https://github.com/stdlib-js/constants-float64-eps/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/constants-float64-eps/tree/esm
[esm-readme]: https://github.com/stdlib-js/constants-float64-eps/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/constants-float64-eps/blob/main/branches.md
[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/constants-float64-eps/main/LICENSE
[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985
[machine-epsilon]: https://en.wikipedia.org/wiki/Machine_epsilon
[@stdlib/constants/float32/eps]: https://www.npmjs.com/package/@stdlib/constants-float32-eps