@stdlib/math-base-special-erfcx
v0.3.1TypeScript
Scaled complementary error function.
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Published by The Stdlib Authors
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erfcx
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> Scaled [complementary error function][complementary-error-function].
The scaled [complementary error function][complementary-error-function] is defined as
For large values, the scaled [complementary error function][complementary-error-function] is approximately equal to
Installation
``bash`
npm install @stdlib/math-base-special-erfcx
Usage
`javascript`
var erfcx = require( '@stdlib/math-base-special-erfcx' );
#### erfcx( x )
Evaluates the scaled [complementary error function][complementary-error-function].
`javascript
var y = erfcx( 0.0 );
// returns 1.0
y = erfcx( 1.0 );
// returns ~0.4276
y = erfcx( -1.0 );
// returns ~5.01
y = erfcx( 50.0 );
// returns ~0.011
y = erfcx( -50.0 );
// returns +Infinity
`
If provided NaN, the function returns NaN.
`javascript`
var y = erfcx( NaN );
// returns NaN
Examples
`javascript
var uniform = require( '@stdlib/random-array-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var erfcx = require( '@stdlib/math-base-special-erfcx' );
var opts = {
'dtype': 'float64'
};
var x = uniform( 100, -30.0, 30.0, opts );
logEachMap( 'x: %0.4f, erfcx(x): %0.4f', x, erfcx );
`
*
C APIs
$3
`c`
#include "stdlib/math/base/special/erfcx.h"
#### stdlib_base_erfcx( x )
Evaluates the [scaled complementary error function][complementary-error-function].
`c
double y = stdlib_base_erfcx( 0.0 );
// returns 1.0
y = stdlib_base_erfcx( 1.0 );
// returns ~0.4276
`
The function accepts the following arguments:
- x: [in] double input value.
`c`
double stdlib_base_erfcx( const double x );
$3
`c
#include "stdlib/math/base/special/erfcx.h"
#include
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_erfcx( x[ i ] );
printf( "x: %lf, erfcx(x): %lf\n", x[ i ], v );
}
}
`
*
See Also
- [@stdlib/math-base/special/erfc][@stdlib/math/base/special/erfc]: complementary error function.
- [@stdlib/math-base/special/erfcinv][@stdlib/math/base/special/erfcinv]: inverse complementary error function.
- [@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.
*
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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[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-erfcx/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-erfcx/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-erfcx/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-erfcx/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-erfcx/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-erfcx/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-erfcx/blob/main/branches.md
[complementary-error-function]: https://en.wikipedia.org/wiki/Error_function
[@stdlib/math/base/special/erfc]: https://www.npmjs.com/package/@stdlib/math-base-special-erfc
[@stdlib/math/base/special/erfcinv]: https://www.npmjs.com/package/@stdlib/math-base-special-erfcinv
[@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