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Test if a value is a square triangular number.
A square triangular number is an integer value which is both a square number and a triangular number.
Triangular numbers can be computed using the following formula
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
Accordingly, an integer x is a triangular number if and only if 8x+1 is a square number.
To use in Observable,
isSquareTriangularNumber = require( 'https://cdn.jsdelivr.net/gh/stdlib-js/assert-is-square-triangular-number@umd/browser.js' )To vendor stdlib functionality and avoid installing dependency trees for Node.js, you can use the UMD server build:
var isSquareTriangularNumber = require( 'path/to/vendor/umd/assert-is-square-triangular-number/index.js' )To include the bundle in a webpage,
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/assert-is-square-triangular-number@umd/browser.js"></script>If no recognized module system is present, access bundle contents via the global scope:
<script type="text/javascript">
(function () {
window.isSquareTriangularNumber;
})();
</script>Tests if a value is a square triangular number.
var Number = require( '@stdlib/number-ctor' );
var bool = isSquareTriangularNumber( 36.0 );
// returns true
bool = isSquareTriangularNumber( new Number( 36.0 ) );
// returns true
bool = isSquareTriangularNumber( 3.14 );
// returns false
bool = isSquareTriangularNumber( -5.0 );
// returns false
bool = isSquareTriangularNumber( NaN );
// returns false
bool = isSquareTriangularNumber( null );
// returns falseTests if a value is a primitive square triangular number.
var Number = require( '@stdlib/number-ctor' );
var bool = isSquareTriangularNumber.isPrimitive( 36.0 );
// returns true
bool = isSquareTriangularNumber.isPrimitive( new Number( 36.0 ) );
// returns falseTests if a value is a Number object having a value which is a square triangular number.
var Number = require( '@stdlib/number-ctor' );
var bool = isSquareTriangularNumber.isObject( 36.0 );
// returns false
bool = isSquareTriangularNumber.isObject( new Number( 36.0 ) );
// returns true- Return values are not reliable for numbers greater than
1125899906842624.
<!DOCTYPE html>
<html lang="en">
<body>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/number-ctor@umd/browser.js"></script>
<script type="text/javascript" src="https://cdn.jsdelivr.net/gh/stdlib-js/assert-is-square-triangular-number@umd/browser.js"></script>
<script type="text/javascript">
(function () {
var bool = isSquareTriangularNumber( 36.0 );
// returns true
bool = isSquareTriangularNumber( new Number( 36.0 ) );
// returns true
bool = isSquareTriangularNumber( 0.0 );
// returns true
bool = isSquareTriangularNumber( 1.0 );
// returns true
bool = isSquareTriangularNumber( 3.14 );
// returns false
bool = isSquareTriangularNumber( -5.0 );
// returns false
bool = isSquareTriangularNumber( NaN );
// returns false
bool = isSquareTriangularNumber( '0.5' );
// returns false
bool = isSquareTriangularNumber( null );
// returns false
})();
</script>
</body>
</html>@stdlib/assert-is-integer: test if a value is a number having an integer value.@stdlib/assert-is-number: test if a value is a number.@stdlib/assert-is-square-number: test if a value is a square number.@stdlib/assert-is-triangular-number: test if a value is a triangular number.
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.
See LICENSE.
Copyright © 2016-2025. The Stdlib Authors.
