[[project @ 2005-11-28 09:40:19 by simonpj] simonpj**20051128094019 Document record syntax for GADTs and existentials (thanks Autrijus) ] { hunk ./ghc/docs/users_guide/glasgow_exts.xml 1212 -An easy extension (implemented in hbc) is to allow +An easy extension is to allow hunk ./ghc/docs/users_guide/glasgow_exts.xml 1270 + +Record Constructors + + +GHC allows existentials to be used with records syntax as well. For example: + + +data Counter a = forall self. NewCounter + { _this :: self + , _inc :: self -> self + , _display :: self -> IO () + , tag :: a + } + +Here tag is a public field, with a well-typed selector +function tag :: Counter a -> a. The self +type is hidden from the outside; any attempt to apply _this, +_inc or _output as functions will raise a +compile-time error. In other words, GHC defines a record selector function +only for fields whose type does not mention the existentially-quantified variables. +(This example used an underscore in the fields for which record selectors +will not be defined, but that is only programming style; GHC ignores them.) + + + +To make use of these hidden fields, we need to create some helper functions: + + +inc :: Counter a -> Counter a +inc (NewCounter x i d t) = NewCounter + { _this = i x, _inc = i, _display = d, tag = t } + +display :: Counter a -> IO () +display NewCounter{ _this = x, _display = d } = d x + + +Now we can define counters with different underlying implementations: + + +counterA :: Counter String +counterA = NewCounter + { _this = 0, _inc = (1+), _display = print, tag = "A" } + +counterB :: Counter String +counterB = NewCounter + { _this = "", _inc = ('#':), _display = putStrLn, tag = "B" } + +main = do + display (inc counterA) -- prints "1" + display (inc (inc counterB)) -- prints "##" + + +In GADT declarations (see ), the explicit +forall may be omitted. For example, we can express +the same Counter a using GADT: + + +data Counter a where + NewCounter { _this :: self + , _inc :: self -> self + , _display :: self -> IO () + , tag :: a + } + :: Counter a + + +At the moment, record update syntax is only supported for Haskell 98 data types, +so the following function does not work: + + +-- This is invalid; use explicit NewCounter instead for now +setTag :: Counter a -> a -> Counter a +setTag obj t = obj{ tag = t } + + + + + + + hunk ./ghc/docs/users_guide/glasgow_exts.xml 3629 - eval (IsZero i) = eval i == 0 + eval (IsZero t) = eval t == 0 hunk ./ghc/docs/users_guide/glasgow_exts.xml 3631 - eval (Pair e1 e2) = (eval e2, eval e2) + eval (Pair e1 e2) = (eval e1, eval e2) hunk ./ghc/docs/users_guide/glasgow_exts.xml 3663 -You cannot use record syntax on a GADT-style data type declaration. ( -It's not clear what these it would mean. For example, -the record selectors might ill-typed.) -However, you can use strictness annotations, in the obvious places +You can use record syntax on a GADT-style data type declaration: + + + data Term a where + Lit { val :: Int } :: Term Int + Succ { num :: Term Int } :: Term Int + Pred { num :: Term Int } :: Term Int + IsZero { arg :: Term Int } :: Term Bool + Pair { arg1 :: Term a + , arg2 :: Term b + } :: Term (a,b) + If { cnd :: Term Bool + , tru :: Term a + , fls :: Term a + } :: Term a + +For every constructor that has a field f, (a) the type of +field f must be the same; and (b) the +result type of the constructor must be the same; both modulo alpha conversion. +Hence, in our example, we cannot merge the num and arg +fields above into a +single name. Although their field types are both Term Int, +their selector functions actually have different types: + + + num :: Term Int -> Term Int + arg :: Term Bool -> Term Int + + +At the moment, record updates are not yet possible with GADT, so support is +limited to record construction, selection and pattern matching: + + + someTerm :: Term Bool + someTerm = IsZero { arg = Succ { num = Lit { val = 0 } } } + + eval :: Term a -> a + eval Lit { val = i } = i + eval Succ { num = t } = eval t + 1 + eval Pred { num = t } = eval t - 1 + eval IsZero { arg = t } = eval t == 0 + eval Pair { arg1 = t1, arg2 = t2 } = (eval t1, eval t2) + eval t@If{} = if eval (cnd t) then eval (tru t) else eval (fls t) + + + + + +You can use strictness annotations, in the obvious places }