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.
var 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 false
Tests 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 false
Tests 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 false
@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.