Language/Symantic/Expr/Map.hs

   1 {-# LANGUAGE DefaultSignatures #-}
   2 {-# LANGUAGE FlexibleContexts #-}
   3 {-# LANGUAGE FlexibleInstances #-}
   4 {-# LANGUAGE MultiParamTypeClasses #-}
   5 {-# LANGUAGE ScopedTypeVariables #-}
   6 {-# LANGUAGE TypeFamilies #-}
   7 -- | Expression for 'Map'.
   8 module Language.Symantic.Expr.Map where
   9
  10 import Data.Map.Strict as Map
  11 import Data.Proxy (Proxy(..))
  12 import Data.Type.Equality ((:~:)(Refl))
  13
  14 import Language.Symantic.Type
  15 import Language.Symantic.Trans.Common
  16 import Language.Symantic.Expr.Root
  17 import Language.Symantic.Expr.Error
  18 import Language.Symantic.Expr.From
  19 import Language.Symantic.Expr.Lambda
  20 -- import Language.Symantic.Expr.Bool
  21 import Language.Symantic.Expr.List
  22 import Language.Symantic.Expr.Tuple
  23
  24 -- * Class 'Sym_Map_Lam'
  25 -- | Symantic.
  26 class Sym_Map repr where
  27         map_from_list :: Ord k => repr [(k, a)] -> repr (Map k a)
  28
  29         default map_from_list :: (Trans t repr, Ord k) => t repr [(k, a)] -> t repr (Map k a)
  30         map_from_list = trans_map1 map_from_list
  31 -- | Symantic.
  32 class Sym_Map_Lam lam repr where
  33         map_map
  34          :: repr (Lambda lam a b)
  35          -> repr (Map k a)
  36          -> repr (Map k b)
  37
  38         default map_map
  39          :: Trans t repr
  40          => t repr (Lambda lam a b)
  41          -> t repr (Map k a)
  42          -> t repr (Map k b)
  43         map_map = trans_map2 map_map
  44
  45 -- | Parsing utility to check that the given type is a 'Type_List'
  46 -- or raise 'Error_Expr_Type_mismatch'.
  47 check_type_map
  48  :: forall ast ex root ty h ret.
  49  ( root ~ Root_of_Expr ex
  50  , ty ~ Type_Root_of_Expr ex
  51  , Lift_Type   Type_Map (Type_of_Expr root)
  52  , Unlift_Type Type_Map (Type_of_Expr root)
  53  , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
  54                    (Error_of_Expr ast root)
  55  )
  56  => Proxy ex -> ast -> ty h
  57  -> (Type_Map ty h -> Either (Error_of_Expr ast root) ret)
  58  -> Either (Error_of_Expr ast root) ret
  59 check_type_map ex ast ty k =
  60         case unlift_type $ unType_Root ty of
  61          Just ty_l -> k ty_l
  62          Nothing -> Left $
  63                 error_expr ex $
  64                 Error_Expr_Type_mismatch ast
  65                  (Exists_Type (type_map (type_var0 SZero) (type_var0 $ SSucc SZero)
  66                  :: Type_Root_of_Expr ex (Map Var0 Var0)))
  67                  (Exists_Type ty)
  68
  69 -- | Parse 'map_from_list'.
  70 map_from_list_from
  71  :: forall root lam ty ty_root ast hs ret.
  72  ( ty ~ Type_Root_of_Expr (Expr_Map lam root)
  73  , ty_root ~ Type_of_Expr root
  74  , Expr_from ast root
  75  , Lift_Type   Type_List      ty_root
  76  , Unlift_Type Type_List      ty_root
  77  , Lift_Type   Type_Map       ty_root
  78  , Lift_Type   Type_Tuple2    ty_root
  79  , Unlift_Type Type_Tuple2    ty_root
  80  , Constraint_Type Ord ty
  81  , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
  82                    (Error_of_Expr ast root)
  83  , Root_of_Expr root ~ root
  84  ) => ast
  85  -> Expr_From ast (Expr_Map lam root) hs ret
  86 map_from_list_from ast_l ex ast ctx k =
  87         expr_from (Proxy::Proxy root) ast_l ctx $
  88          \(ty_l::Type_Root_of_Expr root h_l) (Forall_Repr_with_Context l) ->
  89         check_type_list ex ast ty_l $ \(Type_Type1 _ ty_l_t) ->
  90         check_type_tuple2 ex ast ty_l_t $ \(Type_Type2 Proxy ty_k ty_a) ->
  91         check_constraint_type ex (Proxy::Proxy Ord) ast ty_k $ \Dict ->
  92         k (type_map ty_k ty_a) $ Forall_Repr_with_Context $
  93          \c -> map_from_list (l c)
  94
  95 -- | Parse 'map_map'.
  96 map_map_from
  97  :: forall root lam ty ty_root ast hs ret.
  98  ( ty ~ Type_Root_of_Expr (Expr_Map lam root)
  99  , ty_root ~ Type_of_Expr root
 100  , Eq_Type ty
 101  , Expr_from ast root
 102  , Lift_Type   (Type_Fun lam) ty_root
 103  , Unlift_Type (Type_Fun lam) ty_root
 104  , Lift_Type   Type_Map       ty_root
 105  , Unlift_Type Type_Map       ty_root
 106  , Constraint_Type Ord ty
 107  , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
 108                    (Error_of_Expr ast root)
 109  , Root_of_Expr root ~ root
 110  ) => ast -> ast
 111  -> Expr_From ast (Expr_Map lam root) hs ret
 112 map_map_from ast_f ast_m ex ast ctx k =
 113         expr_from (Proxy::Proxy root) ast_f ctx $
 114          \(ty_f::Type_Root_of_Expr root h_f) (Forall_Repr_with_Context f) ->
 115         expr_from (Proxy::Proxy root) ast_m ctx $
 116          \(ty_m::Type_Root_of_Expr root h_m) (Forall_Repr_with_Context m) ->
 117         check_type_fun ex ast ty_f $ \(Type_Type2 Proxy ty_f_a ty_f_b
 118          :: Type_Fun lam (Type_Root_of_Expr root) h_f) ->
 119         check_type_map ex ast ty_m $ \(Type_Type2 Proxy ty_m_k ty_m_a) ->
 120         check_eq_type ex ast ty_f_a ty_m_a $ \Refl ->
 121         check_constraint_type ex (Proxy::Proxy Ord) ast ty_m_k $ \Dict ->
 122         k (type_map ty_m_k ty_f_b) $ Forall_Repr_with_Context $
 123          \c -> map_map (f c) (m c)
 124
 125 -- * Type 'Expr_Map'
 126 -- | Expression.
 127 data Expr_Map (lam:: * -> *) (root:: *)
 128 type instance Root_of_Expr      (Expr_Map lam root)      = root
 129 type instance Type_of_Expr      (Expr_Map lam root)      = Type_Map
 130 type instance Sym_of_Expr       (Expr_Map lam root) repr = (Sym_Map repr, Sym_Map_Lam lam repr)
 131 type instance Error_of_Expr ast (Expr_Map lam root)      = No_Error_Expr