sqrt1pm1
Compute
sqrt( 1 + x ) - 1
.
Usage
var sqrt1pm1 = require( '@stdlib/math/base/special/sqrt1pm1' );
sqrt1pm1( x )
Computes sqrt( 1 + x ) - 1
more accurately for small x
.
var v = sqrt1pm1( 3.0 );
// returns 1.0
v = sqrt1pm1( 0.5 );
// returns ~0.225
v = sqrt1pm1( 0.02 );
// returns ~0.01
v = sqrt1pm1( -0.5 );
// returns ~-0.293
v = sqrt1pm1( -1.1 );
// returns NaN
v = sqrt1pm1( NaN );
// returns NaN
Examples
var randu = require( '@stdlib/random/base/randu' );
var round = require( '@stdlib/math/base/special/round' );
var sqrt1pm1 = require( '@stdlib/math/base/special/sqrt1pm1' );
var x;
var i;
for ( i = 0; i < 100; i++ ) {
x = round( randu() * 100.0 );
console.log( 'sqrt(1+%d) - 1 = %d', x, sqrt1pm1( x ) );
}
C APIs
Usage
#include "stdlib/math/base/special/sqrt1pm1.h"
stdlib_base_sqrt1pm1( x )
Computes sqrt( 1 + x ) - 1
more accurately for small x
.
double out = stdlib_base_sqrt1pm1( 3.0 );
// returns 1.0
out = stdlib_base_sqrt1pm1( 0.5 );
// returns ~0.225
The function accepts the following arguments:
- x:
[in] double
input value.
double stdlib_base_sqrt1pm1( const double x );
Examples
#include "stdlib/math/base/special/sqrt1pm1.h"
#include <stdlib.h>
#include <stdio.h>
int main( void ) {
double x;
double v;
int i;
for ( i = 0; i < 100; i++ ) {
x = ( (double)rand() / (double)RAND_MAX ) * 100.0;
v = stdlib_base_sqrt1pm1( x );
printf( "sqrt(1+%lf) - 1 = %lf\n", x, v );
}
}