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math-base-special-binomcoeff

Compute the binomial coefficient as a single-precision floating-point number.

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

Science Score: 44.0%

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binomial choose combinatorics fact factorial function integer javascript math mathematics node node-js nodejs number special special-functions stdlib
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Compute the binomial coefficient as a single-precision floating-point number.

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binomial choose combinatorics fact factorial function integer javascript math mathematics node node-js nodejs number special special-functions stdlib
Created 9 months ago · Last pushed 6 months ago
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README.md

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Binomial Coefficient

NPM version Build Status Coverage Status <!-- dependencies -->

Compute the binomial coefficient as a single-precision floating-point number.

The [binomial coefficient][binomial-coefficient] of two nonnegative integers `n` and `k` is defined as ```math \binom {n}{k} = \frac{n!}{k!\,(n-k)!} \quad \text{for }\ 0\leq k\leq n ``` The [binomial coefficient][binomial-coefficient] can be generalized to negative integers `n` as follows: ```math \binom {-n}{k} = (-1)^{k} \binom{n + k - 1}{k} = (-1)^{k} \left(\!\!{\binom {n}{k}}\!\!\right) ```
## Installation ```bash npm install @stdlib/math-base-special-binomcoeff ``` 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 binomcoeff = require( '@stdlib/math-base-special-binomcoeff' ); ``` #### binomcoeff( n, k ) Evaluates the [binomial coefficient][binomial-coefficient] of two integers `n` and `k` as a single-precision floating-point number. ```javascript var v = binomcoeff( 8, 2 ); // returns 28 v = binomcoeff( 0, 0 ); // returns 1 v = binomcoeff( -4, 2 ); // returns 10 v = binomcoeff( 5, 3 ); // returns 10 v = binomcoeff( NaN, 3 ); // returns NaN v = binomcoeff( 5, NaN ); // returns NaN v = binomcoeff( NaN, NaN ); // returns NaN ``` For negative `k`, the function returns `0`. ```javascript var v = binomcoeff( 2, -1 ); // returns 0 v = binomcoeff( -3, -1 ); // returns 0 ``` The function returns `NaN` for non-integer `n` or `k`. ```javascript var v = binomcoeff( 2, 1.5 ); // returns NaN v = binomcoeff( 5.5, 2 ); // returns NaN ```
## Examples ```javascript var discreteUniform = require( '@stdlib/random-array-discrete-uniform' ); var logEachMap = require( '@stdlib/console-log-each-map' ); var binomcoeff = require( '@stdlib/math-base-special-binomcoeff' ); var opts = { 'dtype': 'int32' }; var n = discreteUniform( 100, -10, 30, opts ); var k = discreteUniform( 100, 0, 20, opts ); logEachMap( 'binomcoeff(%d,%d) = %0.4f', n, k, binomcoeff ); ```
## C APIs
### Usage ```c #include "stdlib/math/base/special/binomcoeff.h" ``` #### stdlib_base_binomcoeff( n, k ) Evaluates the [binomial coefficient][binomial-coefficient] of two integers `n` and `k` as a single-precision floating-point number. ```c float v = stdlib_base_binomcoeff( 8.0f, 2.0f ); // returns 28.0f ``` The function accepts the following arguments: - **n**: `[in] float` input value. - **k**: `[in] float` input value. ```c float stdlib_base_binomcoeff( const float n, const float k ); ```
### Examples ```c #include "stdlib/math/base/special/binomcoeff.h" #include int main( void ) { const float a[] = { 24.0f, 32.0f, 48.0f, 116.0f, 33.0f }; const float b[] = { 12.0f, 6.0f, 15.0f, 52.0f, 22.0f }; float out; int i; for ( i = 0; i < 5; i++ ) { out = stdlib_base_binomcoeff( a[ i ], b[ i ] ); printf( "binomcoeff(%f, %f) = %f\n", a[ i ], b[ i ], out ); } } ```

* * * ## 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].

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Standard library for JavaScript.

Citation (CITATION.cff) 

cff-version: 1.2.0
title: stdlib
message: >-
  If you use this software, please cite it using the
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type: software

authors:
  - name: The Stdlib Authors
    url: https://github.com/stdlib-js/stdlib/graphs/contributors

repository-code: https://github.com/stdlib-js/stdlib
url: https://stdlib.io

abstract: |
  Standard library for JavaScript and Node.js.

keywords:
  - JavaScript
  - Node.js
  - TypeScript
  - standard library
  - scientific computing
  - numerical computing
  - statistical computing

license: Apache-2.0 AND BSL-1.0

date-released: 2016

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