Square Root of Epsilon

Square root of half-precision floating-point epsilon.

Installation

npm install @stdlib/constants-float16-sqrt-eps

Usage

var FLOAT16_SQRT_EPSILON = require( '@stdlib/constants-float16-sqrt-eps' );

FLOAT16_SQRT_EPSILON

Square root of half-precision floating-point epsilon.

var bool = ( FLOAT16_SQRT_EPSILON === 0.03125 );
// returns true

Examples

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_SQRT_EPSILON = require( '@stdlib/constants-float16-sqrt-eps' );

var bool;
var a;
var b;
var i;

function isApprox( a, b ) {
    var delta;
    var tol;

    delta = abs( a - b );
    tol = FLOAT16_SQRT_EPSILON * maxabs( a, b );

    return ( delta <= tol );
}

for ( i = 0; i < 100; i++ ) {
    a = randu() * 10.0;
    b = a + (randu()*0.2) - 0.1;
    bool = isApprox( a, b );
    console.log( '%d %s approximately equal to %d', a, ( bool ) ? 'is' : 'is not', b );
}

See Also

• @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.
• @stdlib/constants-float32/sqrt-eps: square root of single-precision floating-point epsilon.
• @stdlib/constants-float64/sqrt-eps: square root of double-precision floating-point epsilon.

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

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