@stdlib/math-base-special-fibonacci-index

Compute the Fibonacci number index.

Usage no npm install needed!

<script type="module">
  import stdlibMathBaseSpecialFibonacciIndex from 'https://cdn.skypack.dev/@stdlib/math-base-special-fibonacci-index';
</script>

README

Fibonacci Number Index

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Compute the Fibonacci number index.

The Fibonacci number index is given by

Formula to compute the Fibonacci number index.

where φ is the golden ratio and F > 1.

Installation

npm install @stdlib/math-base-special-fibonacci-index

Usage

var fibonacciIndex = require( '@stdlib/math-base-special-fibonacci-index' );

fibonacciIndex( F )

Computes the Fibonacci number index for F_n > 1.

var n = fibonacciIndex( 2 );
// returns 3

n = fibonacciIndex( 3 );
// returns 4

n = fibonacciIndex( 5 );
// returns 5

If provided either a non-integer or F_n <= 1, the function returns NaN.

var n = fibonacciIndex( -1 );
// returns NaN

n = fibonacciIndex( 3.14 );
// returns NaN

If provided NaN, the function returns NaN.

var n = fibonacciIndex( NaN );
// returns NaN

Examples

var fibonacciIndex = require( '@stdlib/math-base-special-fibonacci-index' );

var F1;
var F2;
var FN;
var n;
var i;

F1 = 1;
F2 = 1;
for ( i = 3; i < 79; i++ ) {
    FN = F1 + F2;
    F1 = F2;
    F2 = FN;
    n = fibonacciIndex( FN );
    console.log( 'n(%d) = %d', FN, n );
}

See Also

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.

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License

See LICENSE.

Copyright

Copyright © 2016-2022. The Stdlib Authors.