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erfc

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[Complementary error function][complementary-error-function].

The [complementary error function][complementary-error-function] is defined as

$Complementary error function.$

--> The [complementary error function][complementary-error-function] can also be expressed using Craig's formula

## Installation

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

## Usage

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

#### erfc( x ) Evaluates the [complementary error function][complementary-error-function].

javascript
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.

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

## Examples

javascript
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

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

#### stdlib_base_erfc( x ) Evaluates the [complementary error function][complementary-error-function].

c
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.

c
double stdlib_base_erfc( const double x );

### Examples

c
#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 );
    }
}

* ## See Also - [@stdlib/math-base/special/erf][@stdlib/math/base/special/erf]: error function. - [@stdlib/math-base/special/erfinv][@stdlib/math/base/special/erfinv]: inverse error function. - [@stdlib/math-base/special/erfcinv][@stdlib/math/base/special/erfcinv]: inverse complementary error function. - [@stdlib/math-base/special/erfcx][@stdlib/math/base/special/erfcx]: scaled complementary error function.

* ## Notice This package is part of [stdlib][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][stdlib], see the main project [repository][stdlib]. #### Community [![Chat][chat-image]][chat-url] --- ## Copyright Copyright © 2016-2024. The Stdlib [Authors][stdlib-authors].

Detalhes do pacote

@stdlib/math-base-special-erfc

readme (leia-me)

erfc