-- | Symantic for 'Eq'.
module Language.Symantic.Lib.Eq where
-import Control.Monad
-import qualified Data.Eq as Eq
-import Data.Proxy (Proxy(..))
import Prelude hiding ((==), (/=))
+import qualified Data.Eq as Eq
-import Language.Symantic.Parsing
-import Language.Symantic.Typing
-import Language.Symantic.Compiling
-import Language.Symantic.Interpreting
-import Language.Symantic.Transforming
-import Language.Symantic.Lib.Lambda
+import Language.Symantic
+import Language.Symantic.Lib.Bool (tyBool)
+import Language.Symantic.Lib.Function (a0)
-- * Class 'Sym_Eq'
+type instance Sym Eq = Sym_Eq
class Sym_Eq term where
(==) :: Eq a => term a -> term a -> term Bool; infix 4 ==
(/=) :: Eq a => term a -> term a -> term Bool; infix 4 /=
- default (==) :: (Trans t term, Eq a) => t term a -> t term a -> t term Bool
- default (/=) :: (Trans t term, Eq a) => t term a -> t term a -> t term Bool
+ default (==) :: Sym_Eq (UnT term) => Trans term => Eq a => term a -> term a -> term Bool
+ default (/=) :: Sym_Eq (UnT term) => Trans term => Eq a => term a -> term a -> term Bool
- (==) = trans_map2 (==)
- (/=) = trans_map2 (/=)
+ (==) = trans2 (==)
+ (/=) = trans2 (/=)
+
+-- Interpreting
+instance Sym_Eq Eval where
+ (==) = eval2 (Eq.==)
+ (/=) = eval2 (Eq./=)
+instance Sym_Eq View where
+ (==) = viewInfix "==" (infixN 4)
+ (/=) = viewInfix "/=" (infixN 4)
+instance (Sym_Eq r1, Sym_Eq r2) => Sym_Eq (Dup r1 r2) where
+ (==) = dup2 @Sym_Eq (==)
+ (/=) = dup2 @Sym_Eq (/=)
+
+-- Transforming
+instance (Sym_Eq term, Sym_Lambda term) => Sym_Eq (BetaT term)
-type instance Sym_of_Iface (Proxy Eq) = Sym_Eq
-type instance TyConsts_of_Iface (Proxy Eq) = Proxy Eq ': TyConsts_imported_by Eq
-type instance TyConsts_imported_by Eq = '[]
+-- Typing
+instance NameTyOf Eq where
+ nameTyOf _c = ["Eq"] `Mod` "Eq"
+instance FixityOf Eq
+instance ClassInstancesFor Eq
+instance TypeInstancesFor Eq
-instance Sym_Eq HostI where
- (==) = liftM2 (Eq.==)
- (/=) = liftM2 (Eq./=)
-instance Sym_Eq TextI where
- (==) = textI_infix "==" (infixN 4)
- (/=) = textI_infix "/=" (infixN 4)
-instance (Sym_Eq r1, Sym_Eq r2) => Sym_Eq (DupI r1 r2) where
- (==) = dupI2 (Proxy @Sym_Eq) (==)
- (/=) = dupI2 (Proxy @Sym_Eq) (/=)
+-- Compiling
+instance Gram_Term_AtomsFor src ss g Eq
+instance (Source src, SymInj ss Eq) => ModuleFor src ss Eq where
+ moduleFor = ["Eq"] `moduleWhere`
+ [ "==" `withInfixN` 4 := teEq_eq
+ , "/=" `withInfixN` 4 := teEq_ne
+ ]
-instance
- ( Read_TyNameR TyName cs rs
- , Inj_TyConst cs Eq
- ) => Read_TyNameR TyName cs (Proxy Eq ': rs) where
- read_TyNameR _cs (TyName "Eq") k = k (ty @Eq)
- read_TyNameR _rs raw k = read_TyNameR (Proxy @rs) raw k
-instance Show_TyConst cs => Show_TyConst (Proxy Eq ': cs) where
- show_TyConst TyConstZ{} = "Eq"
- show_TyConst (TyConstS c) = show_TyConst c
+-- ** 'Type's
+tyEq :: Source src => Type src vs a -> Type src vs (Eq a)
+tyEq a = tyConstLen @(K Eq) @Eq (lenVars a) `tyApp` a
-instance Proj_TyConC cs (Proxy Eq)
-data instance TokenT meta (ts::[*]) (Proxy Eq)
- = Token_Term_Eq_eq (EToken meta ts)
- | Token_Term_Eq_ne (EToken meta ts)
-deriving instance Eq_Token meta ts => Eq (TokenT meta ts (Proxy Eq))
-deriving instance Show_Token meta ts => Show (TokenT meta ts (Proxy Eq))
-instance -- CompileI
- ( Inj_TyConst (TyConsts_of_Ifaces is) Bool
- , Inj_TyConst (TyConsts_of_Ifaces is) (->)
- , Inj_TyConst (TyConsts_of_Ifaces is) Eq
- , Proj_TyCon (TyConsts_of_Ifaces is)
- , Compile is
- ) => CompileI is (Proxy Eq) where
- compileI tok ctx k =
- case tok of
- Token_Term_Eq_eq tok_a -> from_op (==) tok_a
- Token_Term_Eq_ne tok_a -> from_op (/=) tok_a
- where
- from_op (op::forall term a. (Sym_Eq term, Eq a) => term a -> term a -> term Bool) tok_a =
- compileO tok_a ctx $ \ty_a (TermO a) ->
- check_TyCon (At (Just tok_a) (ty @Eq :$ ty_a)) $ \TyCon ->
- k (ty_a ~> ty @Bool) $ TermO $
- \c -> lam $ op (a c)
-instance -- TokenizeT
- Inj_Token meta ts Eq =>
- TokenizeT meta ts (Proxy Eq) where
- tokenizeT _t = mempty
- { tokenizers_infix = tokenizeTMod []
- [ tokenize1 "==" (infixN 4) Token_Term_Eq_eq
- , tokenize1 "/=" (infixN 4) Token_Term_Eq_ne
- ]
- }
-instance Gram_Term_AtomsT meta ts (Proxy Eq) g
+-- ** 'Term's
+teEq_eq, teEq_ne :: TermDef Eq '[Proxy a] (Eq a #> (a -> a -> Bool))
+teEq_eq = Term (tyEq a0) (a0 ~> a0 ~> tyBool) $ teSym @Eq $ lam2 (==)
+teEq_ne = Term (tyEq a0) (a0 ~> a0 ~> tyBool) $ teSym @Eq $ lam2 (/=)