Language/Symantic/Lib/Functor.hs

   1 {-# LANGUAGE UndecidableInstances #-}
   2 {-# OPTIONS_GHC -fno-warn-orphans #-}
   3 -- | Symantic for 'Functor'.
   4 module Language.Symantic.Lib.Functor where
   5
   6 import Control.Monad (liftM2)
   7 import qualified Data.Function as Fun
   8 import Data.Functor (Functor)
   9 import qualified Data.Functor as Functor
  10 import Data.Proxy (Proxy(..))
  11 import Data.Type.Equality
  12 import Prelude hiding (Functor(..))
  13
  14 import Language.Symantic.Parsing
  15 import Language.Symantic.Typing
  16 import Language.Symantic.Compiling
  17 import Language.Symantic.Interpreting
  18 import Language.Symantic.Transforming
  19 import Language.Symantic.Lib.Lambda
  20
  21 -- * Class 'Sym_Functor'
  22 class Sym_Lambda term => Sym_Functor term where
  23         fmap :: Functor f => term (a -> b) -> term (f a) -> term (f b)
  24         default fmap
  25          :: (Trans t term, Functor f)
  26          => t term (a -> b)
  27          -> t term (f a)
  28          -> t term (f b)
  29         fmap = trans_map2 fmap
  30
  31         (<$) :: Functor f => term a -> term (f b) -> term (f a)
  32         (<$) a = fmap (lam (Fun.const a))
  33
  34 infixl 4 <$
  35
  36 type instance Sym_of_Iface (Proxy Functor) = Sym_Functor
  37 type instance Consts_of_Iface (Proxy Functor) = Proxy Functor ': Consts_imported_by Functor
  38 type instance Consts_imported_by Functor = '[]
  39
  40 instance Sym_Functor HostI where
  41         fmap = liftM2 Functor.fmap
  42         (<$) = liftM2 (Functor.<$)
  43 instance Sym_Functor TextI where
  44         fmap = textI2 "fmap"
  45         (<$) = textI_infix "<$" (infixL 4)
  46 instance (Sym_Functor r1, Sym_Functor r2) => Sym_Functor (DupI r1 r2) where
  47         fmap = dupI2 (Proxy @Sym_Functor) fmap
  48         (<$) = dupI2 (Proxy @Sym_Functor) (<$)
  49
  50 -- | 'fmap' alias.
  51 (<$>) :: (Sym_Functor term, Functor f)
  52  => term (a -> b) -> term (f a) -> term (f b)
  53 (<$>) = fmap
  54 infixl 4 <$>
  55
  56 instance
  57  ( Read_TypeNameR Type_Name cs rs
  58  , Inj_Const cs Functor
  59  ) => Read_TypeNameR Type_Name cs (Proxy Functor ': rs) where
  60         read_typenameR _cs (Type_Name "Functor") k = k (ty @Functor)
  61         read_typenameR _rs raw k = read_typenameR (Proxy @rs) raw k
  62 instance Show_Const cs => Show_Const (Proxy Functor ': cs) where
  63         show_const ConstZ{} = "Functor"
  64         show_const (ConstS c) = show_const c
  65
  66 instance Proj_ConC cs (Proxy Functor)
  67 data instance TokenT meta (ts::[*]) (Proxy Functor)
  68  = Token_Term_Functor_fmap   (EToken meta ts) (EToken meta ts)
  69  | Token_Term_Functor_const (EToken meta ts) (EToken meta ts)
  70 deriving instance Eq_Token meta ts => Eq (TokenT meta ts (Proxy Functor))
  71 deriving instance Show_Token meta ts => Show (TokenT meta ts (Proxy Functor))
  72 instance -- CompileI
  73  ( Inj_Const  (Consts_of_Ifaces is) Functor
  74  , Inj_Const  (Consts_of_Ifaces is) (->)
  75  , Proj_Con   (Consts_of_Ifaces is)
  76  , Compile is
  77  ) => CompileI is (Proxy Functor) where
  78         compileI tok ctx k =
  79                 case tok of
  80                  Token_Term_Functor_fmap tok_a2b tok_fa ->
  81                         -- fmap :: Functor f => (a -> b) -> f a -> f b
  82                         compileO tok_a2b ctx $ \ty_a2b (TermO a2b) ->
  83                         compileO tok_fa  ctx $ \ty_fa  (TermO fa) ->
  84                         check_type2 (ty @(->))
  85                          (At (Just tok_a2b) ty_a2b) $ \Refl ty_a2b_a ty_a2b_b ->
  86                         check_con1 (ty @Functor)
  87                          (At (Just tok_fa) ty_fa) $ \Refl Con ty_fa_f ty_fa_a ->
  88                         check_type
  89                          (At (Just tok_a2b) ty_a2b_a)
  90                          (At (Just tok_fa) ty_fa_a) $ \Refl ->
  91                         k (ty_fa_f :$ ty_a2b_b) $ TermO $
  92                          \c -> fmap (a2b c) (fa c)
  93                  Token_Term_Functor_const tok_a tok_fb ->
  94                         -- (<$) :: Functor f => a -> f b -> f a
  95                         compileO tok_a  ctx $ \ty_a  (TermO a) ->
  96                         compileO tok_fb ctx $ \ty_fb (TermO fb) ->
  97                         check_con1 (ty @Functor)
  98                          (At (Just tok_fb) ty_fb) $ \Refl Con ty_fb_f _ty_fb_b ->
  99                         k (ty_fb_f :$ ty_a) $ TermO $
 100                          \c -> (<$) (a c) (fb c)
 101 instance -- TokenizeT
 102  Inj_Token meta ts Functor =>
 103  TokenizeT meta ts (Proxy Functor) where
 104         tokenizeT _t = mempty
 105          { tokenizers_infix = tokenizeTMod []
 106                  [ tokenize2 "fmap" infixN5   Token_Term_Functor_fmap
 107                  , tokenize2 "<$"  (infixL 4) Token_Term_Functor_const
 108                  , tokenize2 "<$>" (infixL 4) Token_Term_Functor_fmap
 109                  ]
 110          }
 111 instance Gram_Term_AtomsT meta ts (Proxy Functor) g