[Haskell-beginners] Re: Restricting integers in a type?

[Colin Paul Adams]

>>>>> "Ertugrul" == Ertugrul Soeylemez <es at ertes.de> writes:

    Ertugrul> Colin Paul Adams <colin at colina.demon.co.uk> wrote:
    >> I want to declare a type thus:
    >> 
    >> type Coordinate = (Int, Int)
    >> 
    >> But the two integers must be confined to the inclusive range
    >> 0-11. Can i express that in the type system?

    Ertugrul> Well, the type system allows you to create your own
    Ertugrul> ranged integer type.  Here is a rather inflexible, but
    Ertugrul> working method to do it:

    Ertugrul>   newtype Int12 = Int12 Int deriving (Eq, Read, Show)

    Ertugrul>   instance Num Int12 where Int12 x + Int12 y | x+y <= 11
    Ertugrul> = Int12 (x+y) | otherwise = error "Int12 addition out of
    Ertugrul> range" ...

That would seem to allow x = -3 and y = 13, for instance.
-- 
Colin Adams
Preston Lancashire