About stdlib...
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Compute
log(1+f) - f
for1+f
in~[sqrt(2)/2, sqrt(2)]
.
npm install @stdlib/math-base-special-kernel-log1p
var kernelLog1p = require( '@stdlib/math-base-special-kernel-log1p' );
Computes log(1+f) - f
for 1+f
in ~[sqrt(2)/2, sqrt(2)]
.
var v = kernelLog1p( 1.0 );
// returns ~0.1931
v = kernelLog1p( 1.4142135623730951 );
// returns ~0.4672
v = kernelLog1p( NaN );
// returns NaN
- This function is a helper function for computing logarithms in base
e
. Argument reduction and adding the final term of the polynomial must be done by the caller for increased accuracy when different bases are used. For reference, see@stdlib/math-base/special/log2
and@stdlib/math/base/special/log10
.
var linspace = require( '@stdlib/array-base-linspace' );
var sqrt = require( '@stdlib/math-base-special-sqrt' );
var kernelLog1p = require( '@stdlib/math-base-special-kernel-log1p' );
var x = linspace( sqrt( 2.0 ) / 2.0, sqrt( 2.0 ), 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'kernelLog1p(%d) = %d', x[ i ], kernelLog1p( x[ i ] ) );
}
#include "stdlib/math/base/special/kernel_log1p.h"
Computes log(1+f) - f
for 1+f
in ~[sqrt(2)/2, sqrt(2)]
.
double out = stdlib_base_kernel_log1p( 1.0 );
// returns ~0.1931
out = stdlib_base_kernel_log1p( 1.4142135623730951 );
// returns ~0.4672
The function accepts the following arguments:
-
f:
[in] double
input value.
double stdlib_base_kernel_log1p( const double f );
#include "stdlib/math/base/special/kernel_log1p.h"
#include <stdio.h>
int main( void ) {
const double x[] = { 0.7071, 0.7856, 0.8642, 0.9428, 1.0213, 1.0999, 1.1785, 1.2570, 1.3356, 1.4142 };
double out;
int i;
for ( i = 0; i < 10; i++ ) {
out = stdlib_base_kernel_log1p( x[ i ] );
printf ( "x[ i ]: %lf, out: %lf\n", x[ i ], out );
}
}
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.
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