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.
npm install @stdlib/assert-is-square-triangular-numbervar isSquareTriangularNumber = require( '@stdlib/assert-is-square-triangular-number' );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.
var Number = require( '@stdlib/number-ctor' );
var isSquareTriangularNumber = require( '@stdlib/assert-is-square-triangular-number' );
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 falseThis 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.
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