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Difference between one and the smallest value greater than one that can be represented as a single-precision floating-point number.
Epsilon is defined as
where b is the radix (base) and p is the precision (number of radix bits in the significand). For single-precision floating-point numbers, b is 2 and p is 24.
import FLOAT32_EPS from 'https://cdn.jsdelivr.net/gh/stdlib-js/constants-float32-eps@deno/mod.js';Difference between one and the smallest value greater than one that can be represented as a single-precision floating-point number.
var bool = ( FLOAT32_EPS === 1.1920928955078125e-7 );
// returns trueimport abs from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-abs@deno/mod.js';
import max from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-max@deno/mod.js';
import float64ToFloat32 from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float64-base-to-float32@deno/mod.js';
import randu from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-base-randu@deno/mod.js';
import FLOAT32_EPS from 'https://cdn.jsdelivr.net/gh/stdlib-js/constants-float32-eps@deno/mod.js';
var bool;
var a;
var b;
var i;
function isApprox( a, b ) {
var delta;
var tol;
delta = float64ToFloat32( abs( a - b ) );
tol = float64ToFloat32( FLOAT32_EPS * max( abs( a ), abs( b ) ) );
return ( delta <= tol );
}
for ( i = 0; i < 100; i++ ) {
a = float64ToFloat32( randu()*10.0 );
b = float64ToFloat32( a + (randu()*2.0e-6) - 1.0e-6 );
bool = isApprox( a, b );
console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
}@stdlib/constants-float64/eps: difference between one and the smallest value greater than one that can be represented as a double-precision floating-point number.
This package is part of stdlib, a standard library 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.
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