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@stdlib/math-base-special-erfinv
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The inverse error function is defined in terms of the Maclaurin series
where c_0 = 1
and
npm install @stdlib/math-base-special-erfinv
var erfinv = require( '@stdlib/math-base-special-erfinv' );
Evaluates the inverse error function.
var y = erfinv( 0.5 );
// returns ~0.4769
y = erfinv( 0.8 );
// returns ~0.9062
y = erfinv( -1.0 );
// returns -Infinity
y = erfinv( 1.0 );
// returns Infinity
The domain of x
is restricted to [-1,1]
. If |x| > 1
, the function returns NaN
.
var y = erfinv( -3.14 );
// returns NaN
If provided NaN
, the function returns NaN
.
var y = erfinv( NaN );
// returns NaN
The inverse error function is an odd function; i.e., erfinv(-x) = -erfinv(x)
. Thus, in accordance with the IEEE 754 standard, if provided -0
, the function returns -0
.
var y = erfinv( -0.0 );
// returns -0.0
var linspace = require( '@stdlib/array-base-linspace' );
var erfinv = require( '@stdlib/math-base-special-erfinv' );
var x = linspace( -1.0, 1.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'x: %d, erfinv(x): %d', x[ i ], erfinv( x[ i ] ) );
}
#include "stdlib/math/base/special/erfinv.h"
Evaluates the inverse error function.
double out = stdlib_base_erfinv( 0.5 );
// returns ~0.4769
out = stdlib_base_erfinv( 0.8 );
// returns ~0.9062
The function accepts the following arguments:
[in] double
input value.double stdlib_base_erfinv( const double x );
#include "stdlib/math/base/special/erfinv.h"
#include <stdlib.h>
#include <stdio.h>
int main() {
const double x[] = { -1.0, -0.78, -0.56, -0.33, -0.11, 0.11, 0.33, 0.56, 0.78, 1.0 };
double v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_erfinv( x[ i ] );
printf( "x: %lf, erfinv(x): %lf\n", x[ i ], v );
}
}
@stdlib/math-base/special/erf
: error function.@stdlib/math-base/special/erfc
: complementary error function.@stdlib/math-base/special/erfcinv
: inverse complementary error function.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.
Copyright © 2016-2024. The Stdlib Authors.
0.3.0 (2024-07-28)
<section class="features">7ddca8e
- add C implementation for math/base/special/erfinv
e26363d
- chore: update package meta data (#2439) (by stdlib-bot, Athan Reines)7ddca8e
- feat: add C implementation for math/base/special/erfinv
(by Pranav Goswami, Philipp Burckhardt)41d41e9
- test: include trailing newlines in Julia-generated JSON fixtures (by Philipp Burckhardt)9ed7d0e
- chore: add missing trailing newlines (by Philipp Burckhardt)A total of 3 people contributed to this release. Thank you to the following contributors:
FAQs
Inverse error function.
We found that @stdlib/math-base-special-erfinv demonstrated a healthy version release cadence and project activity because the last version was released less than a year ago. It has 0 open source maintainers collaborating on the project.
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