# @stdlib/math-base-special-erfc

0.2.4 • Public • Published

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# erfc

The complementary error function is defined as

-->

The complementary error function can also be expressed using Craig's formula

## Installation

`npm install @stdlib/math-base-special-erfc`

## Usage

`var erfc = require( '@stdlib/math-base-special-erfc' );`

#### erfc( x )

Evaluates the complementary error function.

```var y = erfc( 2.0 );
// returns ~0.0047

y = erfc( -1.0 );
// returns ~1.8427

y = erfc( Infinity );
// returns 0.0

y = erfc( -Infinity );
// returns 2.0```

If provided `NaN`, the function returns `NaN`.

```var y = erfc( NaN );
// returns NaN```

## Examples

```var linspace = require( '@stdlib/array-base-linspace' );
var erfc = require( '@stdlib/math-base-special-erfc' );

var x = linspace( -10.0, 10.0, 100 );

var i;
for ( i = 0; i < x.length; i++ ) {
console.log( 'x: %d, erfc(x): %d', x[ i ], erfc( x[ i ] ) );
}```

## C APIs

### Usage

`#include "stdlib/math/base/special/erfc.h"`

#### stdlib_base_erfc( x )

Evaluates the complementary error function.

```double out = stdlib_base_erfc( 2.0 );
// returns ~0.0047

out = stdlib_base_erfc( -1.0 );
// returns ~1.8427```

The function accepts the following arguments:

• x: `[in] double` input value.
`double stdlib_base_erfc( const double x );`

### Examples

```#include "stdlib/math/base/special/erfc.h"
#include <stdlib.h>
#include <stdio.h>

int main( void ) {
const double x[] = { -10.0, -7.78, -5.56, -3.33, -1.11, 1.11, 3.33, 5.56, 7.78, 10.0 };

double v;
int i;
for ( i = 0; i < 10; i++ ) {
v = stdlib_base_erfc( x[ i ] );
printf( "x: %lf, erfc(x): %lf\n", x[ i ], v );
}
}```

## Notice

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.

## Package Sidebar

### Install

`npm i @stdlib/math-base-special-erfc`

### Repository

github.com/stdlib-js/math-base-special-erfc

stdlib.io

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