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https://github.com/stdlib-js/math-base-special-xlogy

Compute `x * ln(y)` so that the result is `0` if `x = 0`.
https://github.com/stdlib-js/math-base-special-xlogy

javascript ln log logarithm math mathematics natural node node-js nodejs special stdlib

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Compute `x * ln(y)` so that the result is `0` if `x = 0`.

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# xlogy

[![NPM version][npm-image]][npm-url] [![Build Status][test-image]][test-url] [![Coverage Status][coverage-image]][coverage-url]

> Compute `x * ln(y)` so that the result is `0` if `x = 0`.

## Installation

```bash
npm install @stdlib/math-base-special-xlogy
```

Alternatively,

- To load the package in a website via a `script` tag without installation and bundlers, use the [ES Module][es-module] available on the [`esm`][esm-url] branch (see [README][esm-readme]).
- If you are using Deno, visit the [`deno`][deno-url] branch (see [README][deno-readme] for usage intructions).
- For use in Observable, or in browser/node environments, use the [Universal Module Definition (UMD)][umd] build available on the [`umd`][umd-url] branch (see [README][umd-readme]).

The [branches.md][branches-url] file summarizes the available branches and displays a diagram illustrating their relationships.

To view installation and usage instructions specific to each branch build, be sure to explicitly navigate to the respective README files on each branch, as linked to above.

## Usage

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

#### xlogy( x, y )

Computes `x * ln(y)` so that the result is `0` if `x = 0`.

```javascript
var out = xlogy( 3.0, 2.0 );
// returns ~2.079

out = xlogy( 1.5, 5.9 );
// returns ~2.662

out = xlogy( 0.9, 1.0 );
// returns 0.0

out = xlogy( 0.0, -2.0 );
// returns 0.0

out = xlogy( 1.5, NaN );
// returns NaN

out = xlogy( 0.0, NaN );
// returns NaN

out = xlogy( NaN, 2.3 );
// returns NaN
```

## Examples

```javascript
var randu = require( '@stdlib/random-base-randu' );
var xlogy = require( '@stdlib/math-base-special-xlogy' );

var x;
var y;
var i;

for ( i = 0; i < 100; i++ ) {
x = randu();
if ( x < 0.5 ) {
x = 0.0;
}
y = ( randu() * 20.0 ) - 5.0;
console.log( 'xlogy(%d, %d) = %d', x, y, xlogy( x, y ) );
}
```

* * *

## C APIs

### Usage

```c
#include "stdlib/math/base/special/xlogy.h"
```

#### stdlib_base_xlogy( x, y )

Computes `x * ln(y)` so that the result is `0` if `x = 0`.

```c
double v = stdlib_base_xlogy( 3.0, 2.0 );
// returns ~2.079
```

The function accepts the following arguments:

- **x**: `[in] double` input value.
- **y**: `[in] double` input value.

```c
double stdlib_base_xlogy( const double x, const double y );
```

### Examples

```c
#include "stdlib/math/base/special/xlogy.h"
#include
#include

int main( void ) {
double out;
double x;
double y;
int i;

for ( i = 0; i < 100; i++ ) {
x = ( (double)rand() / (double)RAND_MAX ) * 100.0;
y = ( (double)rand() / (double)RAND_MAX ) * 5.0;
out = stdlib_base_xlogy( x, y );
printf( "xlogy(%lf, %lf) = %lf\n", x, y, out );
}
}
```

* * *

## See Also

- [`@stdlib/math-base/special/ln`][@stdlib/math/base/special/ln]: evaluate the natural logarithm of a double-precision floating-point number.
- [`@stdlib/math-base/special/xlog1py`][@stdlib/math/base/special/xlog1py]: compute `x * ln(y+1)` so that the result is `0` if `x = 0`.

* * *

## 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]

---

## License

See [LICENSE][stdlib-license].

## Copyright

Copyright © 2016-2025. The Stdlib [Authors][stdlib-authors].

[npm-image]: http://img.shields.io/npm/v/@stdlib/math-base-special-xlogy.svg
[npm-url]: https://npmjs.org/package/@stdlib/math-base-special-xlogy

[test-image]: https://github.com/stdlib-js/math-base-special-xlogy/actions/workflows/test.yml/badge.svg?branch=main
[test-url]: https://github.com/stdlib-js/math-base-special-xlogy/actions/workflows/test.yml?query=branch:main

[coverage-image]: https://img.shields.io/codecov/c/github/stdlib-js/math-base-special-xlogy/main.svg
[coverage-url]: https://codecov.io/github/stdlib-js/math-base-special-xlogy?branch=main

[chat-image]: https://img.shields.io/gitter/room/stdlib-js/stdlib.svg
[chat-url]: https://app.gitter.im/#/room/#stdlib-js_stdlib:gitter.im

[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-xlogy/tree/deno
[deno-readme]: https://github.com/stdlib-js/math-base-special-xlogy/blob/deno/README.md
[umd-url]: https://github.com/stdlib-js/math-base-special-xlogy/tree/umd
[umd-readme]: https://github.com/stdlib-js/math-base-special-xlogy/blob/umd/README.md
[esm-url]: https://github.com/stdlib-js/math-base-special-xlogy/tree/esm
[esm-readme]: https://github.com/stdlib-js/math-base-special-xlogy/blob/esm/README.md
[branches-url]: https://github.com/stdlib-js/math-base-special-xlogy/blob/main/branches.md

[stdlib-license]: https://raw.githubusercontent.com/stdlib-js/math-base-special-xlogy/main/LICENSE

[@stdlib/math/base/special/ln]: https://github.com/stdlib-js/math-base-special-ln

[@stdlib/math/base/special/xlog1py]: https://github.com/stdlib-js/math-base-special-xlog1py