@stdlib/math-base-special-erfc
v0.2.5TypeScript
Complementary error function.
0/weekUpdated yesterdayApache-2.0Unpacked: 122.9 KB
Published by The Stdlib Authors
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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
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 uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var erfc = require( '@stdlib/math-base-special-erfc' );
var opts = {
'dtype': 'float64'
};
var x = uniform( 100, -10.0, 10.0, opts );
logEachMap( 'x: %0.4f, erfc(x): %0.4f', x, erfc );
`
*
C APIs
$3
`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 );
$3
`c
#include "stdlib/math/base/special/erfc.h"
#include
#include
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 © 2016-2026. The Stdlib [Authors][stdlib-authors].
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[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-erfc
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[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-erfc?branch=main
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[chat-url]: https://stdlib.zulipchat.com
[stdlib]: https://github.com/stdlib-js/stdlib
[stdlib-authors]: https://github.com/stdlib-js/stdlib/graphs/contributors
[umd]: https://github.com/umdjs/umd
[es-module]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Guide/Modules
[deno-url]: https://github.com/stdlib-js/math-base-special-erfc/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-erfc/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-erfc/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-erfc/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-erfc/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-erfc/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-erfc/blob/main/branches.md
[complementary-error-function]: https://en.wikipedia.org/wiki/Error_function
[@stdlib/math/base/special/erf]: https://www.npmjs.com/package/@stdlib/math-base-special-erf
[@stdlib/math/base/special/erfinv]: https://www.npmjs.com/package/@stdlib/math-base-special-erfinv
[@stdlib/math/base/special/erfcinv]: https://www.npmjs.com/package/@stdlib/math-base-special-erfcinv
[@stdlib/math/base/special/erfcx]: https://www.npmjs.com/package/@stdlib/math-base-special-erfcx