mirror of
https://github.com/ilyakooo0/Idris-dev.git
synced 2024-09-22 06:29:37 +03:00
82 lines
2.6 KiB
Idris
82 lines
2.6 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 Ty n)
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data Env : Vect Ty n -> 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 Ty n -> Ty -> Type where
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-- stop : HasType fO (t :: G) t
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-- pop : HasType k G t -> HasType (fS k) (u :: G) t
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lookup : (i:Fin n) -> Env G -> interpTy (lookup i G)
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lookup fO (x :: xs) = x
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lookup (fS i) (x :: xs) = lookup i xs
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data Expr : Vect Ty n -> Ty -> Type where
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Var : (i : Fin n) -> Expr G (lookup i G)
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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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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 = Lam (Var fO)
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eTEST : Expr G (TyFun TyInt (TyFun TyInt TyInt))
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eTEST = Lam (Lam (Var (fS fO)))
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eAdd : Expr G (TyFun TyInt (TyFun TyInt TyInt))
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eAdd = Lam (Lam (Op prim__addInt (Var fO) (Var (fS fO))))
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-- eDouble : Expr G (TyFun TyInt TyInt)
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-- eDouble = Lam (App (App (Lam (Lam (Op' (+) (Var fO) (Var (fS fO))))) (Var fO)) (Var fO))
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eDouble : Expr G (TyFun TyInt TyInt)
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eDouble = Lam (App (App eAdd (Var fO)) (Var fO))
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app : |(f : Expr G (TyFun a t)) -> Expr G a -> Expr G t
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app = \f, a => App f a
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eFac : Expr G (TyFun TyInt TyInt)
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eFac = Lam (If (Op (==) (Var fO) (Val 0))
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(Val 1) (Op (*) (app eFac (Op (-) (Var fO) (Val 1))) (Var fO)))
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-- Exercise elaborator: Complicated way of doing \x y => x*4 + y*2
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eProg : Expr G (TyFun TyInt (TyFun TyInt TyInt))
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eProg = Lam (Lam (Bind (App eDouble (Var (fS fO)))
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(\x => Bind (App eDouble (Var fO))
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(\y => Bind (App eDouble (Val x))
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(\z => App (App eAdd (Val y)) (Val z))))))
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test : Int
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test = interp [] eProg 2 2
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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 = do print test
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print testFac
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