@stdlib/assert-is-triangular-number

Test if a value is a triangular number.

https://github.com/stdlib-js/assert-is-triangular-number

Science Score: 44.0%

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Low similarity (13.9%) to scientific vocabulary

Keywords

assert assertion binomcoef binomial is istriangular javascript node node-js nodejs number numeric stdlib triangle triangular type util utilities utility utils

Last synced: 4 months ago · JSON representation ·

Repository

Test if a value is a triangular number.

Basic Info

Host: GitHub
Owner: stdlib-js
License: apache-2.0
Language: JavaScript
Default Branch: main
Homepage: https://github.com/stdlib-js/stdlib
Size: 664 KB

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Stars: 1
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Open Issues: 0
Releases: 0

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assert assertion binomcoef binomial is istriangular javascript node node-js nodejs number numeric stdlib triangle triangular type util utilities utility utils

Created over 4 years ago · Last pushed 9 months ago

Metadata Files

Readme Changelog Contributing License Code of conduct Citation Security

We believe in a future in which the web is a preferred environment for numerical computation. To help realize this future, we've built stdlib. stdlib is a standard library, with an emphasis on numerical and scientific computation, written in JavaScript (and C) for execution in browsers and in Node.js.

The library is fully decomposable, being architected in such a way that you can swap out and mix and match APIs and functionality to cater to your exact preferences and use cases.

When you use stdlib, you can be absolutely certain that you are using the most thorough, rigorous, well-written, studied, documented, tested, measured, and high-quality code out there.

To join us in bringing numerical computing to the web, get started by checking us out on GitHub, and please consider financially supporting stdlib. We greatly appreciate your continued support!

isTriangularNumber

Test if a value is a triangular number.

[Triangular numbers][triangular-number] can be computed using the following formula ```math T_n = \frac{n(n+1)}{2} ``` for `n >= 0`. By analogy with the square root of `x`, one can define the positive triangular root of `x` such that `T_n = x` ```math n = \frac{\sqrt{8x+1} - 1}{2} ``` Accordingly, an integer `x` is a [triangular number][triangular-number] **if and only** if `8x+1` is a [square number][@stdlib/assert/is-square-number].

## Installation ```bash npm install @stdlib/assert-is-triangular-number ``` 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 isTriangularNumber = require( '@stdlib/assert-is-triangular-number' ); ``` #### isTriangularNumber( value ) Tests if a `value` is a [triangular number][triangular-number]. ```javascript var Number = require( '@stdlib/number-ctor' ); var bool = isTriangularNumber( 36.0 ); // returns true bool = isTriangularNumber( new Number( 36.0 ) ); // returns true bool = isTriangularNumber( 3.14 ); // returns false bool = isTriangularNumber( -5.0 ); // returns false bool = isTriangularNumber( NaN ); // returns false bool = isTriangularNumber( null ); // returns false ``` #### isTriangularNumber.isPrimitive( value ) Tests if a `value` is a primitive [triangular number][triangular-number]. ```javascript var Number = require( '@stdlib/number-ctor' ); var bool = isTriangularNumber.isPrimitive( 36.0 ); // returns true bool = isTriangularNumber.isPrimitive( new Number( 36.0 ) ); // returns false ``` #### isTriangularNumber.isObject( value ) Tests if a `value` is a `Number` object having a value which is a [triangular number][triangular-number]. ```javascript var Number = require( '@stdlib/number-ctor' ); var bool = isTriangularNumber.isObject( 36.0 ); // returns false bool = isTriangularNumber.isObject( new Number( 36.0 ) ); // returns true ```

## Notes - Return values are not reliable for numbers greater than `1125899906842624`.

## Examples ```javascript var Number = require( '@stdlib/number-ctor' ); var isTriangularNumber = require( '@stdlib/assert-is-triangular-number' ); var bool = isTriangularNumber( 36.0 ); // returns true bool = isTriangularNumber( new Number( 36.0 ) ); // returns true bool = isTriangularNumber( 0.0 ); // returns true bool = isTriangularNumber( 1.0 ); // returns true bool = isTriangularNumber( 3.14 ); // returns false bool = isTriangularNumber( -5.0 ); // returns false bool = isTriangularNumber( NaN ); // returns false bool = isTriangularNumber( '0.5' ); // returns false bool = isTriangularNumber( null ); // returns false ```

* * * ## 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].

Owner

Name: stdlib
Login: stdlib-js
Kind: organization

Website: https://stdlib.io
Twitter: stdlibjs
Repositories: 3,692
Profile: https://github.com/stdlib-js

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
  metadata from this file.

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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npmjs.org: @stdlib/assert-is-triangular-number

Test if a value is a triangular number.

Homepage: https://stdlib.io
License: Apache-2.0
Latest release: 0.2.2
published over 1 year ago

Versions: 11
Dependent Packages: 4
Dependent Repositories: 3
Downloads: 10 Last month

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Dependent packages count: 4.5%

Dependent repos count: 6.4%

Average: 11.2%

Downloads: 13.1%

Forks count: 15.4%

Stargazers count: 16.7%

Maintainers (4)

planeshifter rreusser stdlib-bot kgryte

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type: opencollective
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package.json npm

@stdlib/assert-is-boolean ^0.0.x development
@stdlib/bench ^0.0.x development
@stdlib/number-ctor ^0.0.x development
istanbul ^0.4.1 development
tap-spec 5.x.x development
tape git+https://github.com/kgryte/tape.git#fix/globby development
@stdlib/assert-is-integer ^0.0.x
@stdlib/math-base-special-floor ^0.0.x
@stdlib/math-base-special-sqrt ^0.0.x
@stdlib/utils-define-nonenumerable-read-only-property ^0.0.x

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@stdlib/assert-is-triangular-number

Science Score: 44.0%

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isTriangularNumber

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