We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.
The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.
When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.
To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!
erfcinv
[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]
[Inverse complementary error function][erfcinv].
erf^{-1}(z)
is the [inverse error function][@stdlib/math/base/special/erfinv].
bash
npm install @stdlib/math-base-special-erfcinv
javascript
var erfcinv = require( '@stdlib/math-base-special-erfcinv' );
#### erfcinv( x )
Evaluates the [inverse complementary error function][erfcinv].
javascript
var y = erfcinv( 0.5 );
// returns ~0.4769
y = erfcinv( 0.8 );
// returns ~0.1791
y = erfcinv( 0.0 );
// returns Infinity
y = erfcinv( 2.0 );
// returns -Infinity
The domain of x
is restricted to [0,2]
. If x
is outside this interval, the function returns NaN
.
javascript
var y = erfcinv( -3.14 );
// returns NaN
If provided NaN
, the function returns NaN
.
javascript
var y = erfcinv( NaN );
// returns NaN
javascript
var linspace = require( '@stdlib/array-base-linspace' );
var erfcinv = require( '@stdlib/math-base-special-erfcinv' );
var x = linspace( 0.0, 2.0, 100 );
var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'x: %d, erfcinv(x): %d', x[ i ], erfcinv( x[ i ] ) );
}
c
#include "stdlib/math/base/special/erfcinv.h"
#### stdlib_base_erfcinv( x )
Evaluates the [inverse complementary error function][erfcinv].
c
double out = stdlib_base_erfcinv( 0.5 );
// returns ~0.4769
out = stdlib_base_erfcinv( 0.8 );
// returns ~0.1791
The function accepts the following arguments:
- x: [in] double
input value.
c
double stdlib_base_erfcinv( const double x );
c
#include "stdlib/math/base/special/erfcinv.h"
#include <stdio.h>
int main( void ) {
const double x[] = { 0.0, 0.22, 0.44, 0.67, 0.89, 1.11, 1.33, 1.56, 1.78, 2.0 };
double v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_erfcinv( x[ i ] );
printf( "x: %lf, erfcinv(x): %lf\n", x[ i ], v );
}
}
@stdlib/math-base/special/erf
][@stdlib/math/base/special/erf]: error function.
- [@stdlib/math-base/special/erfc
][@stdlib/math/base/special/erfc]: complementary error function.
- [@stdlib/math-base/special/erfinv
][@stdlib/math/base/special/erfinv]: inverse error function.
- [@stdlib/math-base/special/erfcx
][@stdlib/math/base/special/erfcx]: scaled complementary error function.