Package Exports

@stdlib/math-base-special-factorial

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Readme

Factorial

$NPM version$ $Build Status$ $Coverage Status$ $dependencies$

Factorial function.

The factorial function may be defined as the product

$Factorial function definition$

or according to the recurrence relation

$Factorial function recurrence relation$

Following the convention for an empty product, in all definitions,

$Zero factorial$

The Gamma function extends the factorial function for non-integer values.

$Factorial function extension via the Gamma function$

The factorial of a negative integer is not defined.

Installation

npm install @stdlib/math-base-special-factorial

Usage

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

factorial( x )

Evaluates the factorial function.

var v = factorial( 3.0 );
// returns 6.0

v = factorial( -1.5 );
// returns ~-3.545

v = factorial( -0.5 );
// returns ~1.772

v = factorial( 0.5 );
// returns ~0.886

v = factorial( -10.0 );
// returns NaN

v = factorial( 171.0 );
// returns Infinity

v = factorial( NaN );
// returns NaN

Examples

var incrspace = require( '@stdlib/array-incrspace' );
var factorial = require( '@stdlib/math-base-special-factorial' );

var x = incrspace( -10.0, 100.0, 1.0 );
var v;
var i;

for ( i = 0; i < x.length; i++ ) {
    v = factorial( x[ i ] );
    console.log( 'x: %d, f(x): %d', 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.

Community

License

See LICENSE.

@stdlib/math-base-special-factorial