[Haskell-cafe] origin of my fibonacci test

[Jonne Ransijn]

Hi Michael,

I suppose this is where you got the code from?
https://www.quora.com/What-is-the-most-efficient-algorithm-to-check-if-a-number-is-a-Fibonacci-Number

It's the sixth result of the Google search "haskell: get if a number is a
fibonacci number"
On May 10, 2016 1:59 AM, "Michael Litchard" <michael at schmong.org> wrote:

> I have some code that checks to see if a number is a fibonacci number.
> It's not mine, I got it from somewhere and I need to credit it. I am pretty
> sure I got it from Stack Exchange but my search for it went nowhere. If
> this looks familiar to you, or you can tell me better ways to search,
> please let me know.
>
> isFib :: Integer -> Bool
> isFib n = n == a where (_, a, _) = unFib (1, 1) n
>
> unFib :: (Integer, Integer) -> Integer -> (Integer,Integer,Integer)
> unFib (a, b) n
>   | n < a = (0, 0, 1)
>   | n < e = (2*k, c, d)
>   | otherwise = (2*k + 1, e, f)
>       where
>         (k, c, d) = unFib (fibPlus (a, b) (a, b)) n
>         (e, f)    = fibPlus (a, b) (c, d)
>
> fibPlus :: (Integer, Integer) -> (Integer, Integer) -> (Integer,Integer)
> fibPlus (a, b) (c, d) = (bd - (b - a)*(d - c), a*c + bd)
>   where bd = b*d
>
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