lucasf

Compute the nth Lucas number as a single-precision floating-point number.

The Lucas numbers are the integer sequence

The sequence is defined by the recurrence relation

Installation

npm install @stdlib/math-base-special-lucasf

Usage

var lucasf = require( '@stdlib/math-base-special-lucasf' );

lucasf( n )

Computes the nth Lucas number as a single-precision floating-point number.

var v = lucasf( 0 );
// returns 2

v = lucasf( 1 );
// returns 1

v = lucasf( 2 );
// returns 3

v = lucasf( 3 );
// returns 4

v = lucasf( 34 );
// returns 12752043

If n > 34, the function returns NaN, as larger Lucas numbers cannot be safely represented in single-precision floating-point format.

var v = lucasf( 35 );
// returns NaN

If not provided a nonnegative integer value, the function returns NaN.

var v = lucasf( 3.14 );
// returns NaN

v = lucasf( -1 );
// returns NaN

If provided NaN, the function returns NaN.

var v = lucasf( NaN );
// returns NaN

Examples

var discreteUniform = require( '@stdlib/random-array-discrete-uniform' );
var logEachMap = require( '@stdlib/console-log-each-map' );
var lucasf = require( '@stdlib/math-base-special-lucasf' );

var x = discreteUniform( 10, 0, 34, {
    'dtype': 'int32'
});

logEachMap( 'lucasf(%d) = %0.1f', x, lucasf );

C APIs

Usage

#include "stdlib/math/base/special/lucasf.h"

stdlib_base_lucasf( n )

Computes the nth Lucas number as a single-precision floating-point number.

float out = stdlib_base_lucasf( 0.0f );
// returns 2.0f

out = stdlib_base_lucasf( 1.0f );
// returns 1.0f

The function accepts the following arguments:

• n: [in] float input value.

float stdlib_base_lucasf( const float n );

Examples

#include "stdlib/math/base/special/lucasf.h"
#include <stdio.h>

int main( void ) {
    float i;
    float v;

    for ( i = 0.0f; i < 35.0f; i++ ) {
        v = stdlib_base_lucasf( i );
        printf( "lucasf(%f) = %f\n", i, v );
    }
}

Notice

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.

Community

License

See LICENSE.

Copyright

Copyright © 2016-2026. The Stdlib Authors.