Return a normal number `y` and exponent `exp` satisfying `x = y * 2^exp`.
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> Return a normal number y and exponent exp satisfying x = y * 2^exp.
``bash`
npm install @stdlib/number-float32-base-normalize
`javascript`
var normalizef = require( '@stdlib/number-float32-base-normalize' );
#### normalizef( x )
Returns a normal number y and exponent exp satisfying x = y * 2^exp.
`javascript
var toFloat32 = require( '@stdlib/number-float64-base-to-float32' );
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.
`javascript
var toFloat32 = require( '@stdlib/number-float64-base-to-float32' );
var pow = require( '@stdlib/math-base-special-pow' );
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][ieee754] x. If x == 0,
`javascript`
var out = normalizef( 0.0 );
// returns [ 0.0, 0 ];
If x is either positive or negative infinity or NaN,
`javascript
var PINF = require( '@stdlib/constants-float32-pinf' );
var NINF = require( '@stdlib/constants-float32-ninf' );
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.
`javascript
var toFloat32 = require( '@stdlib/number-float64-base-to-float32' );
var Float32Array = require( '@stdlib/array-float32' );
var out = new Float32Array( 2 );
var v = normalizef.assign( toFloat32( 1.401e-45 ), out, 1, 0 );
// returns
var bool = ( v === out );
// returns true
`
- While the function accepts higher precision [floating-point numbers][ieee754], beware that providing such numbers can be a source of subtle bugs as the relation x = y * 2^exp may not hold.
`javascript
var randu = require( '@stdlib/random-base-randu' );
var round = require( '@stdlib/math-base-special-round' );
var pow = require( '@stdlib/math-base-special-pow' );
var toFloat32 = require( '@stdlib/number-float64-base-to-float32' );
var normalizef = require( '@stdlib/number-float32-base-normalize' );
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]) );
}
`
*
`c`
#include "stdlib/number/float32/base/normalize.h"
#### stdlib_base_float32_normalize( x, \y, \exp )
Returns a normal number y and exponent exp satisfying x = y * 2^exp.
`c
#include
float y;
int32_t exp;
stdlib_base_float32_normalize( 3.14, &y, &exp );
`
The function accepts the following arguments:
- x: [in] float input value.[out] float*
- y: destination for normal number.[out] int32_t*
- exp: destination for exponent.
`c`
void stdlib_base_float32_normalize( const float x, float y, int32_t exp );
`c
#include "stdlib/number/float32/base/normalize.h"
#include
#include
int main( void ) {
float x[] = { 4.0f, 0.0f, -0.0f, 1.0f, -1.0f, 3.14f, -3.14f, 1.0e-38f, -1.0e-38f, 1.0f/0.0f, -1.0f/0.0f, 0.0f/0.0f };
int32_t exp;
float y;
int i;
for ( i = 0; i < 12; i++ ) {
stdlib_base_float32_normalize( x[ i ], &y, &exp );
printf( "%f => y: %f, exp: %" PRId32 "\n", x[ i ], y, exp );
}
}
`
*
- [@stdlib/number-float64/base/normalize][@stdlib/number/float64/base/normalize]: return a normal number y and exponent exp satisfying x = y * 2^exp.
*
This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib].
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