Language/Symantic/Compiling/Map.hs

   1 {-# LANGUAGE UndecidableInstances #-}
   2 {-# OPTIONS_GHC -fno-warn-orphans #-}
   3 {-# OPTIONS_GHC -fconstraint-solver-iterations=11 #-}
   4 -- | Symantic for 'Map'.
   5 module Language.Symantic.Compiling.Map where
   6
   7 import Control.Monad (liftM, liftM2, liftM3)
   8 import Data.Map.Strict (Map)
   9 import qualified Data.Map.Strict as Map
  10 import Data.Proxy
  11 import Data.Text (Text)
  12 import Data.Type.Equality ((:~:)(Refl))
  13 import Prelude hiding (either)
  14
  15 import Language.Symantic.Parsing
  16 import Language.Symantic.Typing
  17 import Language.Symantic.Compiling.Term
  18 import Language.Symantic.Interpreting
  19 import Language.Symantic.Transforming.Trans
  20
  21 -- * Class 'Sym_Map'
  22 class Sym_Map term where
  23         map_fromList :: Ord k => term [(k, a)] -> term (Map k a)
  24         map_mapWithKey :: term (k -> a -> b) -> term (Map k a) -> term (Map k b)
  25         map_lookup :: Ord k => term k -> term (Map k a) -> term (Maybe a)
  26         map_keys :: term (Map k a) -> term [k]
  27         map_member :: Ord k => term k -> term (Map k a) -> term Bool
  28         map_insert :: Ord k => term k -> term a -> term (Map k a) -> term (Map k a)
  29         map_delete :: Ord k => term k -> term (Map k a) -> term (Map k a)
  30         map_difference :: Ord k => term (Map k a) -> term (Map k b) -> term (Map k a)
  31         map_foldrWithKey :: term (k -> a -> b -> b) -> term b -> term (Map k a) -> term b
  32
  33         default map_fromList :: (Trans t term, Ord k) => t term [(k, a)] -> t term (Map k a)
  34         default map_mapWithKey :: Trans t term => t term (k -> a -> b) -> t term (Map k a) -> t term (Map k b)
  35         default map_lookup :: (Trans t term, Ord k) => t term k -> t term (Map k a) -> t term (Maybe a)
  36         default map_keys :: Trans t term => t term (Map k a) -> t term [k]
  37         default map_member :: (Trans t term, Ord k) => t term k -> t term (Map k a) -> t term Bool
  38         default map_insert :: (Trans t term, Ord k) => t term k -> t term a -> t term (Map k a) -> t term (Map k a)
  39         default map_delete :: (Trans t term, Ord k) => t term k -> t term (Map k a) -> t term (Map k a)
  40         default map_difference :: (Trans t term, Ord k) => t term (Map k a) -> t term (Map k b) -> t term (Map k a)
  41         default map_foldrWithKey :: Trans t term => t term (k -> a -> b -> b) -> t term b -> t term (Map k a) -> t term b
  42
  43         map_fromList     = trans_map1 map_fromList
  44         map_mapWithKey   = trans_map2 map_mapWithKey
  45         map_lookup       = trans_map2 map_lookup
  46         map_keys         = trans_map1 map_keys
  47         map_member       = trans_map2 map_member
  48         map_insert       = trans_map3 map_insert
  49         map_delete       = trans_map2 map_delete
  50         map_difference   = trans_map2 map_difference
  51         map_foldrWithKey = trans_map3 map_foldrWithKey
  52
  53 type instance Sym_of_Iface (Proxy Map) = Sym_Map
  54 type instance Consts_of_Iface (Proxy Map) = Proxy Map ': Consts_imported_by Map
  55 type instance Consts_imported_by Map =
  56  [ Proxy (->)
  57  , Proxy []
  58  , Proxy (,)
  59  , Proxy Bool
  60  , Proxy Eq
  61  , Proxy Foldable
  62  , Proxy Functor
  63  , Proxy Maybe
  64  , Proxy Monad
  65  , Proxy Monoid
  66  , Proxy Ord
  67  , Proxy Traversable
  68  ]
  69
  70 instance Sym_Map HostI where
  71         map_fromList     = liftM  Map.fromList
  72         map_mapWithKey   = liftM2 Map.mapWithKey
  73         map_lookup       = liftM2 Map.lookup
  74         map_keys         = liftM  Map.keys
  75         map_member       = liftM2 Map.member
  76         map_insert       = liftM3 Map.insert
  77         map_delete       = liftM2 Map.delete
  78         map_difference   = liftM2 Map.difference
  79         map_foldrWithKey = liftM3 Map.foldrWithKey
  80 instance Sym_Map TextI where
  81         map_fromList     = textI_app1 "Map.fromList"
  82         map_mapWithKey   = textI_app2 "Map.mapWithKey"
  83         map_lookup       = textI_app2 "Map.lookup"
  84         map_keys         = textI_app1 "Map.keys"
  85         map_member       = textI_app2 "Map.member"
  86         map_insert       = textI_app3 "Map.insert"
  87         map_delete       = textI_app2 "Map.delete"
  88         map_difference   = textI_app2 "Map.difference"
  89         map_foldrWithKey = textI_app3 "Map.foldrWithKey"
  90 instance (Sym_Map r1, Sym_Map r2) => Sym_Map (DupI r1 r2) where
  91         map_fromList     = dupI1 (Proxy @Sym_Map) map_fromList
  92         map_mapWithKey   = dupI2 (Proxy @Sym_Map) map_mapWithKey
  93         map_lookup       = dupI2 (Proxy @Sym_Map) map_lookup
  94         map_keys         = dupI1 (Proxy @Sym_Map) map_keys
  95         map_member       = dupI2 (Proxy @Sym_Map) map_member
  96         map_insert       = dupI3 (Proxy @Sym_Map) map_insert
  97         map_delete       = dupI2 (Proxy @Sym_Map) map_delete
  98         map_difference   = dupI2 (Proxy @Sym_Map) map_difference
  99         map_foldrWithKey = dupI3 (Proxy @Sym_Map) map_foldrWithKey
 100
 101 instance Const_from Text cs => Const_from Text (Proxy Map ': cs) where
 102         const_from "Map" k = k (ConstZ kind)
 103         const_from s k = const_from s $ k . ConstS
 104 instance Show_Const cs => Show_Const (Proxy Map ': cs) where
 105         show_const ConstZ{} = "Map"
 106         show_const (ConstS c) = show_const c
 107
 108 instance -- Proj_ConC
 109  ( Proj_Const cs Map
 110  , Proj_Consts cs (Consts_imported_by Map)
 111  , Proj_Con cs
 112  , Inj_Const cs Ord
 113  ) => Proj_ConC cs (Proxy Map) where
 114         proj_conC _ (TyConst q :$ (TyConst c :$ _k))
 115          | Just Refl <- eq_skind (kind_of_const c) (SKiType `SKiArrow` SKiType `SKiArrow` SKiType)
 116          , Just Refl <- proj_const c (Proxy::Proxy Map)
 117          = case () of
 118                  _ | Just Refl <- proj_const q (Proxy::Proxy Functor)     -> Just Con
 119                    | Just Refl <- proj_const q (Proxy::Proxy Foldable)    -> Just Con
 120                    | Just Refl <- proj_const q (Proxy::Proxy Traversable) -> Just Con
 121                  _ -> Nothing
 122         proj_conC _ (t@(TyConst q) :$ (TyConst c :$ k :$ a))
 123          | Just Refl <- eq_skind (kind_of_const c) (SKiType `SKiArrow` SKiType `SKiArrow` SKiType)
 124          , Just Refl <- proj_const c (Proxy::Proxy Map)
 125          = case () of
 126                  _ | Just Refl <- proj_const q (Proxy::Proxy Eq)
 127                    , Just Con  <- proj_con (t :$ k)
 128                    , Just Con  <- proj_con (t :$ a) -> Just Con
 129                    | Just Refl <- proj_const q (Proxy::Proxy Ord)
 130                    , Just Con  <- proj_con (t :$ k)
 131                    , Just Con  <- proj_con (t :$ a) -> Just Con
 132                    | Just Refl <- proj_const q (Proxy::Proxy Monoid)
 133                    , Just Con  <- proj_con (ty @Ord :$ k) -> Just Con
 134                  _ -> Nothing
 135         proj_conC _c _q = Nothing
 136 data instance TokenT meta (ts::[*]) (Proxy Map)
 137  = Token_Term_Map_fromList     (EToken meta ts)
 138  | Token_Term_Map_mapWithKey   (EToken meta ts)
 139  | Token_Term_Map_lookup       (EToken meta ts) (EToken meta ts)
 140  | Token_Term_Map_keys         (EToken meta ts)
 141  | Token_Term_Map_member       (EToken meta ts) (EToken meta ts)
 142  | Token_Term_Map_insert       (EToken meta ts) (EToken meta ts)
 143  | Token_Term_Map_delete       (EToken meta ts) (EToken meta ts)
 144  | Token_Term_Map_difference   (EToken meta ts) (EToken meta ts)
 145  | Token_Term_Map_foldrWithKey (EToken meta ts)
 146 deriving instance Eq_Token meta ts => Eq (TokenT meta ts (Proxy Map))
 147 deriving instance Show_Token meta ts => Show (TokenT meta ts (Proxy Map))
 148 instance -- Term_fromI
 149  ( Inj_Const (Consts_of_Ifaces is) Map
 150  , Inj_Const (Consts_of_Ifaces is) (->)
 151  , Inj_Const (Consts_of_Ifaces is) Bool
 152  , Inj_Const (Consts_of_Ifaces is) Ord
 153  , Inj_Const (Consts_of_Ifaces is) Maybe
 154  , Inj_Const (Consts_of_Ifaces is) []
 155  , Inj_Const (Consts_of_Ifaces is) (,)
 156  , Proj_Con  (Consts_of_Ifaces is)
 157  , Term_from is
 158  ) => Term_fromI is (Proxy Map) where
 159         term_fromI tok ctx k =
 160                 case tok of
 161                  Token_Term_Map_fromList tok_l ->
 162                         -- fromList :: Ord k => [(k, a)] -> Map k a
 163                         term_from tok_l ctx $ \ty_l (TermLC l) ->
 164                         check_type1 (ty @[]) (At (Just tok_l) ty_l) $ \Refl ty_l_t2 ->
 165                         check_type2 (ty @(,)) (At (Just tok_l) ty_l_t2) $ \Refl ty_k ty_a ->
 166                         check_con (At (Just tok_l) (ty @Ord :$ ty_k)) $ \Con ->
 167                         k ((ty @Map :$ ty_k) :$ ty_a) $ TermLC $
 168                          \c -> map_fromList (l c)
 169                  Token_Term_Map_mapWithKey tok_k2a2b ->
 170                         -- map_mapWithKey :: (k -> a -> b) -> Map k a -> Map k b
 171                         term_from tok_k2a2b ctx $ \ty_k2a2b (TermLC k2a2b) ->
 172                         check_type2 (ty @(->)) (At (Just tok_k2a2b) ty_k2a2b) $ \Refl ty_k ty_a2b ->
 173                         check_type2 (ty @(->)) (At (Just tok_k2a2b) ty_a2b) $ \Refl ty_a ty_b ->
 174                         k ((ty @Map :$ ty_k) :$ ty_a ~> (ty @Map :$ ty_k) :$ ty_b) $ TermLC $
 175                          \c -> lam $ map_mapWithKey (k2a2b c)
 176                  Token_Term_Map_lookup tok_k tok_m ->
 177                         -- lookup :: Ord k => k -> Map k a -> Maybe a
 178                         term_from tok_k ctx $ \ty_k (TermLC k_) ->
 179                         term_from tok_m ctx $ \ty_m (TermLC m) ->
 180                         check_type2 (ty @Map) (At (Just tok_m) ty_m) $ \Refl ty_m_k ty_m_a ->
 181                         check_type
 182                          (At (Just tok_k) ty_k)
 183                          (At (Just tok_m) ty_m_k) $ \Refl ->
 184                         check_con (At (Just tok_k) (ty @Ord :$ ty_k)) $ \Con ->
 185                         k (ty @Maybe :$ ty_m_a) $ TermLC $
 186                          \c -> map_lookup (k_ c) (m c)
 187                  Token_Term_Map_keys tok_m ->
 188                         -- keys :: Map k a -> [k]
 189                         term_from tok_m ctx $ \ty_m (TermLC m) ->
 190                         check_type2 (ty @Map) (At (Just tok_m) ty_m) $ \Refl ty_m_k _ty_m_a ->
 191                         k (ty @[] :$ ty_m_k) $ TermLC $
 192                          \c -> map_keys (m c)
 193                  Token_Term_Map_member tok_k tok_m ->
 194                         -- member :: Ord k => k -> Map k a -> Bool
 195                         term_from tok_k ctx $ \ty_k (TermLC k_) ->
 196                         term_from tok_m ctx $ \ty_m (TermLC m) ->
 197                         check_type2 (ty @Map) (At (Just tok_m) ty_m) $ \Refl ty_m_k _ty_m_a ->
 198                         check_type
 199                          (At (Just tok_k) ty_k)
 200                          (At (Just tok_m) ty_m_k) $ \Refl ->
 201                         check_con (At (Just tok_k) (ty @Ord :$ ty_k)) $ \Con ->
 202                         k (ty @Bool) $ TermLC $
 203                          \c -> map_member (k_ c) (m c)
 204                  Token_Term_Map_insert tok_k tok_a ->
 205                         -- insert :: Ord k => k -> a -> Map k a -> Map k a
 206                         term_from tok_k ctx $ \ty_k (TermLC k_) ->
 207                         term_from tok_a ctx $ \ty_a (TermLC a) ->
 208                         check_con (At (Just tok_k) (ty @Ord :$ ty_k)) $ \Con ->
 209                         k ((ty @Map :$ ty_k) :$ ty_a ~> (ty @Map :$ ty_k) :$ ty_a) $ TermLC $
 210                          \c -> lam $ map_insert (k_ c) (a c)
 211                  Token_Term_Map_delete tok_k tok_m ->
 212                         -- delete :: Ord k => k -> Map k a -> Map k a
 213                         term_from tok_k ctx $ \ty_k (TermLC k_) ->
 214                         term_from tok_m ctx $ \ty_m (TermLC m) ->
 215                         check_type2 (ty @Map) (At (Just tok_m) ty_m) $ \Refl ty_m_k ty_m_a ->
 216                         check_type
 217                          (At (Just tok_k) ty_k)
 218                          (At (Just tok_m) ty_m_k) $ \Refl ->
 219                         check_con (At (Just tok_k) (ty @Ord :$ ty_k)) $ \Con ->
 220                         k (((ty @Map) :$ ty_k) :$ ty_m_a) $ TermLC $
 221                          \c -> map_delete (k_ c) (m c)
 222                  Token_Term_Map_difference tok_ma tok_mb ->
 223                         -- difference :: Ord k => Map k a -> Map k b -> Map k a
 224                         term_from tok_ma ctx $ \ty_ma (TermLC ma) ->
 225                         term_from tok_mb ctx $ \ty_mb (TermLC mb) ->
 226                         check_type2 (ty @Map) (At (Just tok_ma) ty_ma) $ \Refl ty_ma_k ty_ma_a ->
 227                         check_type2 (ty @Map) (At (Just tok_mb) ty_mb) $ \Refl ty_mb_k _ty_mb_b ->
 228                         check_type
 229                          (At (Just tok_ma) ty_ma_k)
 230                          (At (Just tok_mb) ty_mb_k) $ \Refl ->
 231                         check_con (At (Just tok_ma) (ty @Ord :$ ty_ma_k)) $ \Con ->
 232                         k ((ty @Map :$ ty_ma_k) :$ ty_ma_a) $ TermLC $
 233                          \c -> map_difference (ma c) (mb c)
 234                  Token_Term_Map_foldrWithKey tok_f ->
 235                         -- foldrWithKey :: (k -> a -> b -> b) -> b -> Map k a -> b
 236                         term_from tok_f ctx $ \ty_f (TermLC f) ->
 237                         check_type2 (ty @(->)) (At (Just tok_f) ty_f) $ \Refl ty_k ty_fabb ->
 238                         check_type2 (ty @(->)) (At (Just tok_f) ty_fabb) $ \Refl ty_a ty_fbb ->
 239                         check_type2 (ty @(->)) (At (Just tok_f) ty_fbb) $ \Refl ty_b ty_b' ->
 240                         check_type
 241                          (At (Just tok_f) ty_b)
 242                          (At (Just tok_f) ty_b') $ \Refl ->
 243                         k (ty_b ~> (ty @Map :$ ty_k) :$ ty_a ~> ty_b) $ TermLC $
 244                          \c -> lam $ \b -> lam $ \m -> map_foldrWithKey (f c) b m