@stdlib/constants-float64-eps
TypeScript icon, indicating that this package has built-in type declarations

0.2.2 • Public • Published
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!

EPS

NPM version Build Status Coverage Status

Difference between one and the smallest value greater than one that can be represented as a double-precision floating-point number.

Epsilon is defined as

Epsilon for a double-precision floating-point number.

where b is the radix (base) and p is the precision (number of radix bits in the significand). For double-precision floating-point numbers, b is 2 and p is 53.

Installation

npm install @stdlib/constants-float64-eps

Usage

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.

var bool = ( EPS === 2.220446049250313e-16 );
// returns true

Examples

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

Usage

#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.


See Also

  • @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, 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.

Community

Chat


License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.

Package Sidebar

Install

npm i @stdlib/constants-float64-eps

Homepage

stdlib.io

Weekly Downloads

41,850

Version

0.2.2

License

Apache-2.0

Unpacked Size

30.6 kB

Total Files

13

Last publish

Collaborators

  • stdlib-bot
  • kgryte
  • planeshifter
  • rreusser