Epsilon
Difference between one and the smallest value greater than one that can be represented as a halfprecision 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 halfprecision floatingpoint numbers, b
is 2
and p
is 11
.
Installation
npm install @stdlib/constantsfloat16eps
Usage
var FLOAT16_EPSILON = require( '@stdlib/constantsfloat16eps' );
FLOAT16_EPSILON
Difference between one and the smallest value greater than one that can be represented as a halfprecision floatingpoint number.
var bool = ( FLOAT16_EPSILON === 0.0009765625 );
// returns true
Examples
var abs = require( '@stdlib/mathbasespecialabs' );
var maxabs = require( '@stdlib/mathbasespecialmaxabs' );
var randu = require( '@stdlib/randombaserandu' );
var FLOAT16_EPSILON = require( '@stdlib/constantsfloat16eps' );
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()*2.0e3)  1.0e3;
bool = isApprox( a, b );
console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
}
See Also

@stdlib/constants/float32/eps
: difference between one and the smallest value greater than one that can be represented as a singleprecision floatingpoint number. 
@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.