# Haskell vs F#: Function composition

I’m reading through John Hughes’ ‘Why functional programming matters’ paper and one thing I’ve come across which is a bit counter intuitive to me is the Haskell function composition operator.

I’ve written previously about F#’s function composition operator which is defined as follows:

``````
let inline (>>) f g x = g(f x)
``````

To write a function which doubled all the values in a list and then returned the odd values we’d do this:

``````
let doubleThenOdd = List.map (fun x -> x*2) >> List.filter (fun x -> x % 2 <> 0)
``````

Of course it’s not possible for there to be any values!

``````
doubleThenOdd [1..5];;
val it : int list = []
``````

Based on that understanding I would expect the Haskell function composition operator (‘.’) to work in the same way:

``````
let doubleThenOdd = map (\ x -> x*2) . filter (\ x -> (mod x 2) /= 0)
``````

But it doesn’t!

``````
Prelude> doubleThenOdd [1..5]
[2,6,10]
``````

In Haskell the functions are applied from right to left rather than left to right as I had expected.

The definition of ‘.’ is therefore:

``````
(f . g) x = f (g x)
``````

So to get what I wanted we’d need to switch around ‘map’ and ‘filter’:

``````
let doubleThenOdd = filter (\ x -> (mod x 2) /= 0) . map (\ x -> x*2)
``````
``````
Prelude> doubleThenOdd [1..5]
[]
``````

It’s not too difficult to follow once I worked out that it was different to what I was used to but I was very confused for a while!

Is there a reason why they implement this operator differently?