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Return a normal number
y
and exponentexp
satisfyingx = y * 2^exp
.
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';
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 ]
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
- 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.
<!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>
@stdlib/number-float64/base/normalize
: return a normal numbery
and exponentexp
satisfyingx = y * 2^exp
.
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.
See LICENSE.
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