Epsilon
Difference between one and the smallest value greater than one that can be represented as a singleprecision floatingpoint number.
Epsilon is defined as
where b
is the radix (base) and p
is the precision (number of radix bits in the significand). For singleprecision floatingpoint numbers, b
is 2
and p
is 24
.
Installation
npm install @stdlib/constantsfloat32eps
Usage
var FLOAT32_EPSILON = require( '@stdlib/constantsfloat32eps' );
FLOAT32_EPSILON
Difference between one and the smallest value greater than one that can be represented as a singleprecision floatingpoint number.
var bool = ( FLOAT32_EPSILON === 1.1920928955078125e7 );
// returns true
Examples
var abs = require( '@stdlib/mathbasespecialabs' );
var max = require( '@stdlib/mathbasespecialmax' );
var float64ToFloat32 = require( '@stdlib/numberfloat64basetofloat32' );
var randu = require( '@stdlib/randombaserandu' );
var FLOAT32_EPSILON = require( '@stdlib/constantsfloat32eps' );
var bool;
var a;
var b;
var i;
function isApprox( a, b ) {
var delta;
var tol;
delta = float64ToFloat32( abs( a  b ) );
tol = float64ToFloat32( FLOAT32_EPSILON * max( abs( a ), abs( b ) ) );
return ( delta <= tol );
}
for ( i = 0; i < 100; i++ ) {
a = float64ToFloat32( randu()*10.0 );
b = float64ToFloat32( a + (randu()*2.0e6)  1.0e6 );
bool = isApprox( a, b );
console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
}
See Also

@stdlib/constants/float64/eps
: difference between one and the smallest value greater than one that can be represented as a doubleprecision floatingpoint 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
License
See LICENSE.
Copyright
Copyright © 20162022. The Stdlib Authors.