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Return a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.

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normalizef

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Return a normal number y and exponent exp satisfying x = y * 2^exp.

Usage

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

You can also import the following named exports from the package:

import { assign } from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float32-base-normalize@esm/index.mjs';

normalizef( x )

Returns a normal number y and exponent exp satisfying x = y * 2^exp.

import toFloat32 from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float64-base-to-float32@esm/index.mjs';

var out = normalizef( toFloat32( 1.401e-45 ) );
// returns [ 1.1754943508222875e-38, -23 ]

By default, the function returns y and exp as a two-element array.

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

var out = normalizef( toFloat32( 1.401e-45 ) );
// returns [ 1.1754943508222875e-38, -23 ]

var y = out[ 0 ];
var exp = out[ 1 ];

var bool = ( y*pow(2, exp) === toFloat32(1.401e-45) );
// returns true

The function expects a finite, non-zero single-precision floating-point number x. If x == 0,

var out = normalizef( 0.0 );
// returns [ 0.0, 0 ];

If x is either positive or negative infinity or NaN,

import PINF from 'https://cdn.jsdelivr.net/gh/stdlib-js/constants-float32-pinf@esm/index.mjs';
import NINF from 'https://cdn.jsdelivr.net/gh/stdlib-js/constants-float32-ninf@esm/index.mjs';

var out = normalizef( PINF );
// returns [ Infinity, 0 ]

out = normalizef( NINF );
// returns [ -Infinity, 0 ]

out = normalizef( NaN );
// returns [ NaN, 0 ]

normalizef( x, out, stride, offset )

Returns a normal number y and exponent exp satisfying x = y * 2^exp and assigns results to a provided output array.

import toFloat32 from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float64-base-to-float32@esm/index.mjs';
import Float32Array from 'https://cdn.jsdelivr.net/gh/stdlib-js/array-float32@esm/index.mjs';

var out = new Float32Array( 2 );

var v = normalizef.assign( toFloat32( 1.401e-45 ), out, 1, 0 );
// returns <Float32Array>[ 1.1754943508222875e-38, -23 ]

var bool = ( v === out );
// returns true

Notes

  • While the function accepts higher precision floating-point numbers, beware that providing such numbers can be a source of subtle bugs as the relation x = y * 2^exp may not hold.

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 normalizef from 'https://cdn.jsdelivr.net/gh/stdlib-js/number-float32-base-normalize@esm/index.mjs';

var frac;
var exp;
var x;
var v;
var i;

// Generate denormalized single-precision floating-point numbers and then normalize them...
for ( i = 0; i < 100; i++ ) {
    frac = randu() * 10.0;
    exp = 38 + round( randu()*6.0 );
    x = frac * pow( 10.0, -exp );
    x = toFloat32( x );
    v = normalizef( x );
    console.log( '%d = %d * 2^%d = %d', x, v[0], v[1], v[0]*pow(2.0, v[1]) );
}

</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.

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License

See LICENSE.

Copyright

Copyright © 2016-2025. The Stdlib Authors.