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Compute the logit function.
The logit function is defined as the logarithm of the odds p / (1-p)
; i.e.,
The logit function is the inverse of the standard logistic function, sometimes also called the sigmoid function.
npm install @stdlib/math-base-special-logit
Alternatively,
- To load the package in a website via a
script
tag without installation and bundlers, use the ES Module available on theesm
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.
var logit = require( '@stdlib/math-base-special-logit' );
Computes the logit function.
var v = logit( 0.2 );
// returns ~-1.386
v = logit( 0.9 );
// returns ~2.197
If p < 0
or p > 1
, the function returns NaN
.
var v = logit( 1.3 );
// returns NaN
v = logit( -0.2 );
// returns NaN
var randu = require( '@stdlib/random-base-randu' );
var logit = require( '@stdlib/math-base-special-logit' );
var p;
var i;
for ( i = 0; i < 100; i ) {
p = randu();
console.log( 'logit(%d) = %d', p, logit( p ) );
}
#include "stdlib/math/base/special/logit.h"
Computes the logit function.
double out = stdlib_base_logit( 0.2 );
// returns ~-1.386
out = stdlib_base_logit( 0.9 );
// returns ~2.197
The function accepts the following arguments:
- p:
[in] double
input value.
double stdlib_base_logit( const double p );
#include "stdlib/math/base/special/logit.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;
v = stdlib_base_logit( x );
printf( "logit(%lf) = %lf\n", x, v );
}
}
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.
See LICENSE.
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