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Difference between one and the smallest value greater than one that can be represented as a doubleprecision 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 doubleprecision floatingpoint numbers, b
is 2
and p
is 53
.
npm install @stdlib/constantsfloat64eps
var EPS = require( '@stdlib/constantsfloat64eps' );
Difference between one and the smallest value greater than one that can be represented as a doubleprecision floatingpoint number.
var bool = ( EPS === 2.220446049250313e16 );
// returns true
var abs = require( '@stdlib/mathbasespecialabs' );
var max = require( '@stdlib/mathbasespecialmax' );
var randu = require( '@stdlib/randombaserandu' );
var EPS = require( '@stdlib/constantsfloat64eps' );
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()*5.0e15)  2.5e15;
bool = isApprox( a, b );
console.log( '%d %s approximately equal to %d. Delta: %d.', a, ( bool ) ? 'is' : 'is not', b, abs( a  b ) );
}
#include "stdlib/constants/float64/eps.h"
Macro for the difference between one and the smallest value greater than one that can be represented as a doubleprecision floatingpoint number.

@stdlib/constantsfloat32/eps
: difference between one and the smallest value greater than one that can be represented as a singleprecision floatingpoint number.
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