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1 {-# LANGUAGE FlexibleContexts #-}
2 {-# LANGUAGE FlexibleInstances #-}
3 {-# LANGUAGE GeneralizedNewtypeDeriving #-}
4 {-# LANGUAGE MultiParamTypeClasses #-}
5 {-# LANGUAGE TypeFamilies #-}
6 {-# LANGUAGE UndecidableInstances #-}
7 -- | Interpreter to compute a host-term.
8 module Language.Symantic.Repr.Host where
9
10 import Control.Applicative as Applicative
11 import Control.Monad as Monad
12 import Control.Monad.IO.Class (MonadIO(..))
13 import Data.Functor as Functor
14 import Data.Functor.Identity
15 import Data.IORef
16 import Data.Traversable as Traversable
17 import qualified Data.Bool as Bool
18 import qualified Data.Maybe as Maybe
19 import qualified Data.Map.Strict as Map
20
21 import Language.Symantic.Lib.Control.Monad
22 import Language.Symantic.Type
23 import Language.Symantic.Expr hiding (Sym_Monad(..), Sym_Monad_Lam(..))
24 import qualified Language.Symantic.Expr as Expr
25
26 -- * Type 'Repr_Host'
27
28 -- | Interpreter's data.
29 --
30 -- NOTE: the host-type @h@ is wrapped inside @lam@ to let 'Sym_Lambda'
31 -- control its callings (see 'inline', 'val', and 'lazy').
32 newtype Repr_Host lam h
33 = Repr_Host
34 { unRepr_Host :: lam h }
35 deriving (Applicative, Functor, Monad, MonadIO)
36
37 -- | Interpreter.
38 host_from_expr :: Repr_Host lam h -> lam h
39 host_from_expr = unRepr_Host
40
41 type instance Lambda_from_Repr (Repr_Host lam) = lam
42 instance Monad lam => Sym_Lambda_App lam (Repr_Host lam) where
43 app = liftM2Join $ \(Lambda f) a -> Repr_Host $ f $ return a
44 instance Monad lam => Sym_Lambda_Inline lam (Repr_Host lam) where
45 inline f = return $ Lambda $ unRepr_Host . f . Repr_Host
46 instance Monad lam => Sym_Lambda_Val lam (Repr_Host lam) where
47 val f = return $ Lambda $ (>>= unRepr_Host . f . Repr_Host . return)
48 instance MonadIO lam => Sym_Lambda_Lazy lam (Repr_Host lam) where
49 lazy f = return $ Lambda $ ((>>= unRepr_Host . f . Repr_Host) . lazy_share)
50 instance Monad lam => Sym_Bool (Repr_Host lam) where
51 bool = return
52 not = Functor.fmap Bool.not
53 (&&) = liftM2 (Prelude.&&)
54 (||) = liftM2 (Prelude.||)
55 instance Monad lam => Sym_Int (Repr_Host lam) where
56 int = return
57 abs = Functor.fmap Prelude.abs
58 negate = Functor.fmap Prelude.negate
59 (+) = liftM2 (Prelude.+)
60 (-) = liftM2 (Prelude.-)
61 (*) = liftM2 (Prelude.*)
62 mod = liftM2 Prelude.mod
63 instance Monad lam => Sym_Maybe (Repr_Host lam) where
64 nothing = return Nothing
65 just = liftMJoin $ return . Just
66 instance Monad lam => Sym_Maybe_Lam lam (Repr_Host lam) where
67 maybe n j m = do
68 mm <- m
69 Maybe.maybe n (\a -> j `app` return a) mm
70 instance Monad lam => Sym_If (Repr_Host lam) where
71 if_ m ok ko = do
72 m' <- m
73 if m' then ok else ko
74 instance Monad lam => Sym_When (Repr_Host lam) where
75 when m ok = do
76 m' <- m
77 Monad.when m' ok
78 instance Monad lam => Sym_Eq (Repr_Host lam) where
79 (==) = liftM2 (Prelude.==)
80 instance Monad lam => Sym_Ord (Repr_Host lam) where
81 compare = liftM2 Prelude.compare
82 instance Monad lam => Sym_List (Repr_Host lam) where
83 list_empty = return []
84 list_cons = liftM2 (:)
85 list = sequence
86 instance Monad lam => Sym_List_Lam lam (Repr_Host lam) where
87 list_filter f = liftMJoin go
88 where
89 go [] = return []
90 go (x:xs) = do
91 b <- f `app` return x
92 (if b then ((x :) Prelude.<$>) else id)
93 (go xs)
94 instance Monad lam => Sym_Tuple2 (Repr_Host lam) where
95 tuple2 = liftM2 (,)
96 instance Monad lam => Sym_Map (Repr_Host lam) where
97 map_from_list = Functor.fmap Map.fromList
98 instance Monad lam => Sym_Map_Lam lam (Repr_Host lam) where
99 map_map f = liftMJoin $ sequence . ((\a -> f `app` return a) Prelude.<$>)
100 instance Sym_Functor Identity (Repr_Host Identity) where
101 fmap f m = (a2b Functor.<$>) Functor.<$> m
102 where a2b a = runIdentity $ unRepr_Host $ f `app` return a
103 {- NOTE: need Traversable
104 fmap f = liftMJoin $ sequence . ((\a -> f `app` return a) Functor.<$>)
105 -}
106 instance
107 ( Sym_Applicative_Lam lam (Repr_Host lam)
108 , Applicative lam
109 ) => Sym_Applicative (Repr_Host lam) where
110 pure = Functor.fmap Applicative.pure
111 instance Sym_Applicative_Lam Identity (Repr_Host Identity) where
112 (<*>) = liftM2Join $ \fg ->
113 return . (Applicative.<*>)
114 ((\(Lambda g) -> runIdentity . g . Identity) Functor.<$> fg)
115 {- NOTE: need Traversable
116 (<*>) = liftM2Join $ \fg fa ->
117 Repr_Host $ sequence $
118 (unLambda Functor.<$> fg)
119 Applicative.<*>
120 (return Functor.<$> fa)
121 -}
122 instance Sym_Traversable Identity (Repr_Host Identity) where
123 traverse ra2fb = liftMJoin $
124 return . Traversable.traverse a2fb
125 where a2fb a = runIdentity $ unRepr_Host $ ra2fb `app` return a
126 instance
127 ( Expr.Sym_Monad_Lam lam (Repr_Host lam)
128 , Monad lam
129 ) => Expr.Sym_Monad (Repr_Host lam) where
130 return = Functor.fmap Monad.return
131 instance Expr.Sym_Monad_Lam Identity (Repr_Host Identity) where
132 (>>=) rma ra2mb = do
133 ma <- rma
134 return $ (Monad.>>=) ma a2mb
135 where a2mb a = runIdentity $ unRepr_Host $ ra2mb `app` return a
136 instance Monad lam => Sym_Either (Repr_Host lam) where
137 right = Functor.fmap Right
138 left = Functor.fmap Left
139
140 -- | Helper to store arguments of 'lazy' into an 'IORef'.
141 lazy_share :: MonadIO m => m a -> m (m a)
142 lazy_share m = do
143 r <- liftIO $ newIORef (False, m)
144 return $ do
145 (already_evaluated, m') <- liftIO $ readIORef r
146 if already_evaluated
147 then m'
148 else do
149 v <- m'
150 liftIO $ writeIORef r (True, return v)
151 return v