Well, it's certainly not possible for "filter", at least, not without additional hints to the compiler. For example, consider this type:

data Weird a = A | B a (Weird a) (Weird a)

filter p A = A
filter p (B x w1 w2) | p x = B x (filter p w1) (filter p w2)
                     | otherwise = ?????

On 5 Jun 2008, at 12:03, Cetin Sert wrote:

Hi ^_^,

Let's say we have the following data type and functions:
data Tab a =      (:↺:)

           |     a :↓:   Tab a
           | Tab a :↙↘: (Tab a,Tab a)
           deriving (Eq, Show, Read)

map f (:↺:)          = (:↺:)
map f (a :↓: t)      = f a :↓: map f t
map f (h :↙↘: (l,r)) = map f h :↙↘: (map f l, map f r)


filter p (:↺:)          = (:↺:)
filter p (a :↓: t)      | p a       = filter p t
                        | otherwise = a :↓: filter p t
filter p (h :↙↘: (l,r)) = filter p h :↙↘: (filter p l, filter p r)

is it possible to automatically derive map and filter?
data Tab a =      (:↺:)
           |     a :↓:   Tab a
           | Tab a :↙↘: (Tab a,Tab a)
           deriving (Eq, Show, Read, Map, Filter)

If not, do you think it might be nice to have something like this in the future?

Best Regards,
Cetin Sert
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