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EPS
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
Difference between one and the smallest value greater than one that can be represented as a [double-precision floating-point number][ieee754].
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
.
bash
npm install @stdlib/constants-float64-eps
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
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
#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].
@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.