Language/Symantic/Expr/Map.hs

   1 {-# LANGUAGE DefaultSignatures #-}
   2 {-# LANGUAGE FlexibleContexts #-}
   3 {-# LANGUAGE FlexibleInstances #-}
   4 {-# LANGUAGE MultiParamTypeClasses #-}
   5 {-# LANGUAGE ScopedTypeVariables #-}
   6 {-# LANGUAGE TypeFamilies #-}
   7 {-# OPTIONS_GHC -fno-warn-orphans #-}
   8 -- | Expression for 'Map'.
   9 module Language.Symantic.Expr.Map where
  10
  11 import Data.Map.Strict (Map)
  12 import Data.Proxy (Proxy(..))
  13 import Data.Type.Equality ((:~:)(Refl))
  14
  15 import Language.Symantic.Type
  16 import Language.Symantic.Trans.Common
  17 import Language.Symantic.Expr.Root
  18 import Language.Symantic.Expr.Error
  19 import Language.Symantic.Expr.From
  20 import Language.Symantic.Expr.Lambda
  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         mapWithKey
  29          :: repr (k -> a -> b)
  30          -> repr (Map k a)
  31          -> repr (Map k b)
  32
  33         default map_from_list :: (Trans t repr, Ord k) => t repr [(k, a)] -> t repr (Map k a)
  34         default mapWithKey
  35          :: Trans t repr
  36          => t repr (k -> a -> b)
  37          -> t repr (Map k a)
  38          -> t repr (Map k b)
  39
  40         map_from_list = trans_map1 map_from_list
  41         mapWithKey    = trans_map2 mapWithKey
  42
  43 -- | Parsing utility to check that the given type is a 'Type_List'
  44 -- or raise 'Error_Expr_Type_mismatch'.
  45 check_type_map
  46  :: forall ast ex root ty h ret.
  47  ( root ~ Root_of_Expr ex
  48  , ty ~ Type_Root_of_Expr ex
  49  , Lift_Type   Type_Map (Type_of_Expr root)
  50  , Unlift_Type Type_Map (Type_of_Expr root)
  51  , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
  52                    (Error_of_Expr ast root)
  53  )
  54  => Proxy ex -> ast -> ty h
  55  -> (Type_Map ty h -> Either (Error_of_Expr ast root) ret)
  56  -> Either (Error_of_Expr ast root) ret
  57 check_type_map ex ast ty k =
  58         case unlift_type $ unType_Root ty of
  59          Just ty_l -> k ty_l
  60          Nothing -> Left $
  61                 error_expr ex $
  62                 Error_Expr_Type_mismatch ast
  63                  (Exists_Type (type_map (type_var0 SZero) (type_var0 $ SSucc SZero)
  64                  :: ty (Map Var0 Var0)))
  65                  (Exists_Type ty)
  66
  67 -- | Parse 'map_from_list'.
  68 map_from_list_from
  69  :: forall root ty ast hs ret.
  70  ( ty ~ Type_Root_of_Expr (Expr_Map root)
  71  , Expr_from ast root
  72  , Lift_Type   Type_List   (Type_of_Expr root)
  73  , Unlift_Type Type_List   (Type_of_Expr root)
  74  , Lift_Type   Type_Map    (Type_of_Expr root)
  75  , Lift_Type   Type_Tuple2 (Type_of_Expr root)
  76  , Unlift_Type Type_Tuple2 (Type_of_Expr root)
  77  , Constraint_Type Ord ty
  78  , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
  79                    (Error_of_Expr ast root)
  80  , Root_of_Expr root ~ root
  81  ) => ast
  82  -> Expr_From ast (Expr_Map root) hs ret
  83 map_from_list_from ast_l ex ast ctx k =
  84         expr_from (Proxy::Proxy root) ast_l ctx $
  85          \(ty_l::ty h_l) (Forall_Repr_with_Context l) ->
  86         check_type_list ex ast ty_l $ \(Type_Type1 _ ty_l_t) ->
  87         check_type_tuple2 ex ast ty_l_t $ \(Type_Type2 Proxy ty_k ty_a) ->
  88         check_constraint_type ex (Proxy::Proxy Ord) ast ty_k $ \Dict ->
  89         k (type_map ty_k ty_a) $ Forall_Repr_with_Context $
  90          \c -> map_from_list (l c)
  91
  92 -- | Parse 'mapWithKey'.
  93 mapWithKey_from
  94  :: forall root ty ast hs ret.
  95  ( ty ~ Type_Root_of_Expr (Expr_Map root)
  96  , Eq_Type ty
  97  , Expr_from ast root
  98  , Lift_Type   Type_Fun (Type_of_Expr root)
  99  , Unlift_Type Type_Fun (Type_of_Expr root)
 100  , Lift_Type   Type_Map       (Type_of_Expr root)
 101  , Unlift_Type Type_Map       (Type_of_Expr root)
 102  , Constraint_Type Ord ty
 103  , Lift_Error_Expr (Error_Expr (Error_of_Type ast ty) ty ast)
 104                    (Error_of_Expr ast root)
 105  , Root_of_Expr root ~ root
 106  ) => ast -> ast
 107  -> Expr_From ast (Expr_Map root) hs ret
 108 mapWithKey_from ast_f ast_m ex ast ctx k =
 109         expr_from (Proxy::Proxy root) ast_f ctx $
 110          \(ty_f::ty h_f) (Forall_Repr_with_Context f) ->
 111         expr_from (Proxy::Proxy root) ast_m ctx $
 112          \(ty_m::ty h_m) (Forall_Repr_with_Context m) ->
 113         check_type_fun ex ast ty_f $ \(Type_Type2 Proxy ty_f_k ty_f_a2b
 114          :: Type_Fun ty h_f) ->
 115         check_type_fun ex ast ty_f_a2b $ \(Type_Type2 Proxy ty_f_a ty_f_b
 116          :: Type_Fun ty h_f_a2b) ->
 117         check_type_map ex ast ty_m $ \(Type_Type2 Proxy ty_m_k ty_m_a) ->
 118         check_eq_type ex ast ty_f_k ty_m_k $ \Refl ->
 119         check_eq_type ex ast ty_f_a ty_m_a $ \Refl ->
 120         check_constraint_type ex (Proxy::Proxy Ord) ast ty_m_k $ \Dict ->
 121         k (type_map ty_m_k ty_f_b) $ Forall_Repr_with_Context $
 122          \c -> mapWithKey (f c) (m c)
 123
 124 -- * Type 'Expr_Map'
 125 -- | Expression.
 126 data Expr_Map (root:: *)
 127 type instance Root_of_Expr      (Expr_Map root)      = root
 128 type instance Type_of_Expr      (Expr_Map root)      = Type_Map
 129 type instance Sym_of_Expr       (Expr_Map root) repr = (Sym_Map repr)
 130 type instance Error_of_Expr ast (Expr_Map root)      = No_Error_Expr
 131
 132 instance Constraint_Type1 Functor (Type_Map root) where
 133         constraint_type1 _c Type_Type2{} = Just Dict
 134 instance Constraint_Type1 Functor (Type_Type1 (Proxy (Map k)) root) where
 135         constraint_type1 _c Type_Type1{} = Just Dict
 136 instance Constraint_Type1 Applicative (Type_Map root)
 137 instance Constraint_Type1 Applicative (Type_Type1 (Proxy (Map k)) root)
 138 instance Constraint_Type1 Traversable (Type_Map root) where
 139         constraint_type1 _c Type_Type2{} = Just Dict
 140 instance Constraint_Type1 Traversable (Type_Type1 (Proxy (Map k)) root) where
 141         constraint_type1 _c Type_Type1{} = Just Dict