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normalize

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

Installation

npm install @stdlib/number-float64-base-normalize

Alternatively,

• To load the package in a website via a script tag without installation and bundlers, use the ES Module available on the esm branch (see README).
• If you are using Deno, visit the deno branch (see README for usage intructions).
• For use in Observable, or in browser/node environments, use the Universal Module Definition (UMD) build available on the umd branch (see README).

The branches.md file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

Usage

varnormalize=require('@stdlib/number-float64-base-normalize');

normalize( x )

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

varpow=require('@stdlib/math-base-special-pow');varout=normalize(3.14e-319);// returns [ 1.4141234400356668e-303, -52 ]vary=out[0];varexp=out[1];varbool=(y*pow(2.0,exp)===3.14e-319);// returns true

The function expects a finite, non-zero numeric value x. If x == 0,

varout=normalize(0.0);// returns [ 0.0, 0 ];

If x is either positive or negative infinity or NaN,

varPINF=require('@stdlib/constants-float64-pinf');varNINF=require('@stdlib/constants-float64-ninf');varout=normalize(PINF);// returns [ Infinity, 0 ]out=normalize(NINF);// returns [ -Infinity, 0 ]out=normalize(NaN);// returns [ NaN, 0 ]

normalize.assign( 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.

varFloat64Array=require('@stdlib/array-float64');varout=newFloat64Array(2);varv=normalize.assign(3.14e-319,out,1,0);// returns <Float64Array>[ 1.4141234400356668e-303, -52 ]varbool=(v===out);// returns true

Examples

vardiscreteUniform=require('@stdlib/random-base-discrete-uniform');varrandu=require('@stdlib/random-base-uniform');varpow=require('@stdlib/math-base-special-pow');varnormalize=require('@stdlib/number-float64-base-normalize');varfrac;varexp;varx;varv;vari;// Generate denormalized numbers and then normalize them...for(i=0;i<100;i++){// Generate a random fraction:frac=randu(0.0,10.0);// Generate an exponent on the interval (-308,-324):exp=discreteUniform(-323,-309);// Create a subnormal number (~2.23e-308, ~4.94e-324):x=frac*pow(10.0,exp);// Determine a `y` and an `exp` to "normalize" the subnormal:v=normalize(x);console.log('%d = %d * 2^%d = %d',x,v[0],v[1],v[0]*pow(2.0,v[1]));}

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C APIs

Usage

#include"stdlib/number/float64/base/normalize.h"

stdlib_base_float64_normalize( x, *y, *exp )

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

#include<stdint.h>doubley;
int32_texp;
stdlib_base_float64_normalize( 3.14, &y, &exp );

The function accepts the following arguments:

• x: [in] double input value.
• y: [out] double* destination for normal number.
• exp: [out] int32_t* destination for exponent.

voidstdlib_base_float64_normalize( constdoublex, double*y, int32_t*exp );

Examples

#include"stdlib/number/float64/base/normalize.h"#include<stdint.h>#include<stdio.h>#include<inttypes.h>intmain( void ) {
doublex[] = { 1.0, 3.14, 0.0, -0.0, 3.14e-308, 3.14e308, 1.0/0.0, 0.0/0.0 };
int32_texp;
doubley;
inti;
for ( i=0; i<8; i++ ) {
stdlib_base_float64_normalize( x[ i ], &y, &exp );
printf( "%lf => y: %lf, exp: %"PRId32"\n", x[ i ], y, exp );
}
}

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See Also

• @stdlib/number-float32/base/normalize: return a normal number y and exponent exp satisfying x = y * 2^exp.

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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

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License

See LICENSE.

Copyright

Copyright © 2016-2026. The Stdlib Authors.