Difference between one and the smallest value greater than one that can be represented as a half-precision floating-point number.
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Difference between one and the smallest value greater than one that can be represented as a half-precision floating-point number.
Epsilon is defined as
\epsilon = b^{-(p-1)}
where b
is the radix (base) and p
is the precision (number of radix bits in the significand). For half-precision floating-point numbers, b
is 2
and p
is 11
.
npm install @stdlib/constants-float16-eps
Alternatively,
script
tag without installation and bundlers, use the ES Module available on the esm
branch (see README).deno
branch (see README for usage intructions).umd
branch (see README).The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.
To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.
var FLOAT16_EPSILON = require( '@stdlib/constants-float16-eps' );
Difference between one and the smallest value greater than one that can be represented as a half-precision floating-point number.
var bool = ( FLOAT16_EPSILON === 0.0009765625 );
// returns true
var abs = require( '@stdlib/math-base-special-abs' );
var maxabs = require( '@stdlib/math-base-special-maxabs' );
var randu = require( '@stdlib/random-base-randu' );
var FLOAT16_EPSILON = require( '@stdlib/constants-float16-eps' );
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()*2.0e-3) - 1.0e-3;
bool = isApprox( a, b );
console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
}
@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.
@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.
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For more information on the project, filing bug reports and feature requests, and guidance on how to develop stdlib, see the main project repository.
See LICENSE.
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