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    @stdlib/constants-float32-eps
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    0.0.6 • Public • Published

    Epsilon

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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

    Epsilon for a single-precision floating-point number.

    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.

    Installation

    npm install @stdlib/constants-float32-eps

    Usage

    var FLOAT32_EPSILON = require( '@stdlib/constants-float32-eps' );

    FLOAT32_EPSILON

    Difference between one and the smallest value greater than one that can be represented as a single-precision floating-point number.

    var bool = ( FLOAT32_EPSILON === 1.1920928955078125e-7 );
    // returns true

    Examples

    var abs = require( '@stdlib/math-base-special-abs' );
    var max = require( '@stdlib/math-base-special-max' );
    var float64ToFloat32 = require( '@stdlib/number-float64-base-to-float32' );
    var randu = require( '@stdlib/random-base-randu' );
    var FLOAT32_EPSILON = require( '@stdlib/constants-float32-eps' );
    
    var bool;
    var a;
    var b;
    var i;
    
    function isApprox( a, b ) {
        var delta;
        var tol;
    
        delta = float64ToFloat32( abs( a - b ) );
        tol = float64ToFloat32( FLOAT32_EPSILON * 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 );
    }

    See Also

    • @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.

    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.

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    License

    See LICENSE.

    Copyright

    Copyright © 2016-2022. The Stdlib Authors.

    Install

    npm i @stdlib/constants-float32-eps

    Homepage

    stdlib.io

    DownloadsWeekly Downloads

    62

    Version

    0.0.6

    License

    Apache-2.0

    Unpacked Size

    40.2 kB

    Total Files

    9

    Last publish

    Collaborators

    • stdlib-bot
    • kgryte
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    • rreusser