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About stdlib...

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

From Binary String

NPM version Build Status Coverage Status

Create a single-precision floating-point number from an IEEE 754 literal bit representation.

Usage

import fromBinaryStringf from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float32-base-from-binary-string@esm/index.mjs';

fromBinaryStringf( bstr )

Creates a single-precision floating-point number from an IEEE 754 literal bit representation.

var bstr = '01000000100000000000000000000000';
var v = fromBinaryStringf( bstr );
// returns 4.0

bstr = '01000000010010010000111111011011';
v = fromBinaryStringf( bstr );
// returns ~3.14

bstr = '11111111011011000011101000110011';
v = fromBinaryStringf( bstr );
// returns ~-3.14e+38

The function handles subnormals.

var bstr = '10000000000000000000000000010110';
var val = fromBinaryStringf( bstr );
// returns ~-3.08e-44

bstr = '00000000000000000000000000000001';
val = fromBinaryStringf( bstr );
// returns ~1.40e-45

The function handles special values.

var bstr = '00000000000000000000000000000000';
var val = fromBinaryStringf( bstr );
// returns 0.0

bstr = '10000000000000000000000000000000';
val = fromBinaryStringf( bstr );
// returns -0.0

bstr = '01111111110000000000000000000000';
val = fromBinaryStringf( bstr );
// returns NaN

bstr = '01111111100000000000000000000000';
val = fromBinaryStringf( bstr );
// returns Infinity

bstr = '11111111100000000000000000000000';
val = fromBinaryStringf( bstr );
// returns -Infinity

Examples

<!DOCTYPE html>
<html lang="en">
<body>
<script type="module">

import randu from 'https://cdn.jsdelivr.net/gh/stdlib-js/random-base-randu@esm/index.mjs';
import round from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-round@esm/index.mjs';
import pow from 'https://cdn.jsdelivr.net/gh/stdlib-js/math-base-special-pow@esm/index.mjs';
import toFloat32 from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float64-base-to-float32@esm/index.mjs';
import toBinaryStringf from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float32-base-to-binary-string@esm/index.mjs';
import fromBinaryStringf from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float32-base-from-binary-string@esm/index.mjs';

var frac;
var sign;
var exp;
var b;
var x;
var y;
var i;

// Convert random numbers to IEEE 754 literal bit representations and then convert them back...
for ( i = 0; i < 100; i++ ) {
    if ( randu() < 0.5 ) {
        sign = -1.0;
    } else {
        sign = 1.0;
    }
    frac = randu() * 10.0;
    exp = round( randu()*100.0 );
    if ( randu() < 0.5 ) {
        exp = -exp;
    }
    x = sign * frac * pow( 2.0, exp );
    x = toFloat32( x );

    b = toBinaryStringf( x );
    y = fromBinaryStringf( b );

    console.log( '%d => %s => %d', x, b, y );
    console.log( x === y );
}

</script>
</body>
</html>

See Also

Notice

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.

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

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License

See LICENSE.

Copyright

Copyright © 2016-2024. The Stdlib Authors.