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|
{-# LANGUAGE DeriveTraversable #-}
{-# LANGUAGE QuasiQuotes #-}
module AutoTypes.Unify
( T (..),
toString,
fromJson,
unify1,
)
where
import Control.Arrow
import Control.Exception (Exception, throw)
import qualified Data.Aeson as A
import qualified Data.Aeson.Key as K
import qualified Data.Aeson.KeyMap as KM
import Data.Aeson.QQ
import Data.List (intercalate, nub)
import Data.Map (Map)
import qualified Data.Map as M
import qualified Data.Map.Merge.Lazy as M
import qualified Data.Text as T
import qualified Data.Vector as V
import Debug.Trace
import System.FilePath (takeDirectory)
import Prelude hiding (null)
data T
= List (Maybe T)
| Object (Map String T)
| Option (Maybe T)
| Scalar String
| Union [T]
| Reference String
deriving (Eq, Show)
instance A.ToJSON T where
toJSON (List t) = A.toJSON t
toJSON (Object ts) = A.toJSON ts
toJSON (Option t) = A.toJSON t
toJSON (Scalar s) = A.toJSON s
toJSON (Union ts) = A.toJSON ts
toJSON (Reference i) = A.object [K.fromString "$ref" A..= A.String (T.pack i)]
toString :: T -> String
toString = intercalate "\n" . map (\(n, s) -> indent n s) . toString_ 0
toString_ :: Int -> T -> [(Int, String)]
toString_ n (Object kvs) =
concat
[ [(n, "{")],
concat . M.elems $
M.mapWithKey (\s t -> (n + 1, s) : toString_ (n + 2) t) kvs,
[(n, "}")]
]
toString_ n (Scalar s) = [(n, s)]
toString_ n (Union ts) = concatMap (toString_ n) ts
toString_ n (Option Nothing) = [(n, "null")]
toString_ n (Option (Just t)) = map (second (++ "?")) (toString_ n t)
indent n = (++) (replicate (4 * n) ' ')
union :: [T] -> T
union ts =
case ts of
[t] -> t
ts -> Union ts
unify1 :: T -> T -> [T]
unify1 (Scalar n) (Scalar m)
| n == m = [Scalar n]
| otherwise = [union [Scalar n, Scalar m]]
unify1 (Reference i) (Reference j)
| i == j = [Reference i]
| otherwise = [union [Reference i, Reference j]]
unify1 l@(Object ls) r@(Object rs) =
let os =
( map Object . traverse id $
let f _ (l@(Option _)) = [l]
f _ l = [Option (Just l)]
in M.merge
(M.mapMissing f)
(M.mapMissing f)
(M.zipWithMatched (\_ l r -> unify1 l r))
ls
rs
)
in os
++ ( if l `subst` r || r `subst` l
then []
else [union [l, r]]
)
unify1 (Option Nothing) (Option Nothing) = [Option Nothing]
unify1 (Option (Just l)) (Option Nothing) = [Option (Just l)]
unify1 (Option Nothing) (Option (Just r)) = [Option (Just r)]
unify1 (Option (Just l)) (Option (Just r)) = map (Option . Just) (unify1 l r)
unify1 (Option Nothing) r = [Option (Just r)]
unify1 (List Nothing) (List Nothing) = [List Nothing]
unify1 (List Nothing) (List (Just t)) = [List (Just t)]
unify1 (List (Just t)) (List Nothing) = [List (Just t)]
unify1 (List (Just l)) (List (Just r)) =
if l == r || r `subst` l
then [List (Just l)]
else
if l `subst` r
then [List (Just r)]
else [List (Just (union [l, r]))]
unify1 l (Option Nothing) = [Option (Just l)]
unify1 l (Option (Just r)) = map (Option . Just) (unify1 l r)
unify1 (Option (Just l)) r = map (Option . Just) (unify1 l r)
unify1 (Union ls) (Union rs) = [union (ls ++ rs)]
unify1 (Union ls) r = [union (ls ++ [r])]
unify1 l (Union rs) = [union ([l] ++ rs)]
unify1 l r = [union [l, r]]
subst :: T -> T -> Bool
subst (Object l) (Object r) =
and
( map
( \(k, t) -> case (t, M.lookup k r) of
(t, Just t') -> t `subst` t'
_ -> False
)
(M.toList l)
)
subst (Option Nothing) (Option _) = True
subst l (Option Nothing) = True
subst (Option (Just l)) (Option (Just r)) = l `subst` r
subst l (Option (Just r)) = l `subst` r
subst l r = l == r
lims :: [T] -> [T]
lims ts = nub [t | t <- ts, all (\t' -> not (t `subst` t') || t' == t) ts]
unify l r =
let s =
unlines
( [ toString l ++ "," ++ toString r,
"---"
]
++ map toString t
)
t = unify1 l r
in Debug.Trace.trace s t
{-
unify :: T -> T -> Either (T, T) T
unify (Scalar n) (Scalar m)
| n == m = Right (Scalar n)
| otherwise = Left (Scalar n, Scalar m)
unify (Object ls) (Object rs) =
let f _ (l@(Option _)) = Right l
f _ l = Right (Option (Just l))
in case M.merge
(M.mapMissing f)
(M.mapMissing f)
(M.zipWithMatched (\_ l r -> unify l r))
ls
rs
& M.partition isRight
& ( \(rs, ls) ->
(M.map (fromRight undefined) rs, M.elems (M.map (fromLeft undefined) ls))
) of
(_, e : _) -> Left e
(lrs, []) -> Right (Object lrs)
unify (Option Nothing) (Option Nothing) = Right (Option Nothing)
unify (Option (Just l)) (Option Nothing) = Right (Option (Just l))
unify (Option Nothing) (Option (Just r)) = Right (Option (Just r))
unify (Option (Just l)) (Option (Just r)) = Option . Just <$> unify l r
-}
object :: Map String T -> T
object = Object
list :: Maybe T -> T
list = List
string, number, bool, null :: T
string = Scalar "string"
number = Scalar "number"
bool = Scalar "bool"
null = Option Nothing
data InferException = InferException [T]
deriving (Show)
instance Exception InferException
fromJson :: A.Value -> T
fromJson (A.Object kvs) =
case map (first K.toString) (KM.toList kvs) of
[("$ref", A.String i)] -> Reference (takeDirectory (T.unpack i))
_ -> object (M.mapKeys K.toString (M.map fromJson (KM.toMap kvs)))
fromJson t@(A.Array vs) =
let ts = map fromJson (V.toList vs)
in case nub ts of
[] -> list Nothing
[t] -> list (Just t)
_ -> throw (InferException ts)
fromJson (A.String _) = string
fromJson (A.Number _) = number
fromJson (A.Bool _) = bool
fromJson A.Null = null
object1 =
[aesonQQ|{
"firstName": "firstName",
"lastName": "lastName"
}|]
object2 =
[aesonQQ|{
"firstName": "firstName",
"lastName": "lastName",
"birthDay": null
}|]
object3 =
[aesonQQ|{
"firstName": "firstName",
"lastName": "lastName",
"birthDay": "1990-01-01"
}|]
object4 =
[aesonQQ|{
"firstName": "firstName"
}|]
object5 =
[aesonQQ|{
"lastName": 42,
"birthDay": null
}|]
main =
-- fromJson object2 =:= fromJson object3
-- unify (fromJson object1) (fromJson object2)
putStrLn
( intercalate
"\n\n"
( map
toString
( foldr1
(\ls rs -> (concat [unify1 l r | l <- ls, r <- rs]))
( map
((: []) . fromJson)
[ object1,
object2,
-- object3,
-- object4,
object5
]
)
)
)
)
-- >>= unify (fromJson object2)
-- >>= unify (fromJson object4)
|