mirror of
https://github.com/ilyakooo0/Idris-dev.git
synced 2024-11-15 11:56:18 +03:00
93 lines
2.5 KiB
Idris
93 lines
2.5 KiB
Idris
module Main
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data Ty = TyInt | TyBool | TyFun Ty Ty
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interpTy : Ty -> Type
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interpTy TyInt = Int
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interpTy TyBool = Bool
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interpTy (TyFun s t) = interpTy s -> interpTy t
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using (G : Vect n Ty)
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data Env : Vect n Ty -> Type where
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Nil : Env Nil
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(::) : interpTy a -> Env G -> Env (a :: G)
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data HasType : (i : Fin n) -> Vect n Ty -> Ty -> Type where
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stop : HasType FZ (t :: G) t
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pop : HasType k G t -> HasType (FS k) (u :: G) t
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lookup : HasType i G t -> Env G -> interpTy t
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lookup stop (x :: xs) = x
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lookup (pop k) (x :: xs) = lookup k xs
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data Expr : Vect n Ty -> Ty -> Type where
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Var : HasType i G t -> Expr G t
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Val : (x : Int) -> Expr G TyInt
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Lam : Expr (a :: G) t -> Expr G (TyFun a t)
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App : Expr G (TyFun a t) -> Expr G a -> Expr G t
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Op : (interpTy a -> interpTy b -> interpTy c) -> Expr G a -> Expr G b ->
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Expr G c
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If : Expr G TyBool -> Expr G a -> Expr G a -> Expr G a
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Bind : Expr G a -> (interpTy a -> Expr G b) -> Expr G b
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dsl expr
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lambda = Lam
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variable = Var
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index_first = stop
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index_next = pop
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(<*>) : |(f : Expr G (TyFun a t)) -> Expr G a -> Expr G t
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(<*>) = \f, a => App f a
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pure : Expr G a -> Expr G a
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pure = id
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syntax IF [x] THEN [t] ELSE [e] = If x t e
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(==) : Expr G TyInt -> Expr G TyInt -> Expr G TyBool
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(==) = Op (==)
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(<) : Expr G TyInt -> Expr G TyInt -> Expr G TyBool
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(<) = Op (<)
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instance Num (Expr G TyInt) where
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(+) x y = Op (+) x y
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(-) x y = Op (-) x y
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(*) x y = Op (*) x y
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abs x = IF (x < 0) THEN (-x) ELSE x
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fromInteger = Val . fromInteger
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interp : Env G -> {static} Expr G t -> interpTy t
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interp env (Var i) = lookup i env
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interp env (Val x) = x
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interp env (Lam sc) = \x => interp (x :: env) sc
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interp env (App f s) = (interp env f) (interp env s)
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interp env (Op op x y) = op (interp env x) (interp env y)
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interp env (If x t e) = if (interp env x) then (interp env t) else (interp env e)
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interp env (Bind v f) = interp env (f (interp env v))
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eId : Expr G (TyFun TyInt TyInt)
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eId = expr (\x => x)
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eTEST : Expr G (TyFun TyInt (TyFun TyInt TyInt))
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eTEST = expr (\x, y => y)
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eAdd : Expr G (TyFun TyInt (TyFun TyInt TyInt))
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eAdd = expr (\x, y => Op (+) x y)
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eDouble : Expr G (TyFun TyInt TyInt)
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eDouble = expr (\x => App (App eAdd x) (Var stop))
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eFac : Expr G (TyFun TyInt TyInt)
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eFac = expr (\x => IF x == 0 THEN 1 ELSE [| eFac (x - 1) |] * x)
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testFac : Int
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testFac = interp [] eFac 4
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main : IO ()
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main = print testFac
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