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-rw-r--r-- | tests/examplefiles/test.idr | 93 |
1 files changed, 93 insertions, 0 deletions
diff --git a/tests/examplefiles/test.idr b/tests/examplefiles/test.idr new file mode 100644 index 00000000..f0e96d88 --- /dev/null +++ b/tests/examplefiles/test.idr @@ -0,0 +1,93 @@ +module Main + +data Ty = TyInt | TyBool | TyFun Ty Ty + +interpTy : Ty -> Type +interpTy TyInt = Int +interpTy TyBool = Bool +interpTy (TyFun s t) = interpTy s -> interpTy t + +using (G : Vect n Ty) + + data Env : Vect n Ty -> Type where + Nil : Env Nil + (::) : interpTy a -> Env G -> Env (a :: G) + + data HasType : (i : Fin n) -> Vect n Ty -> Ty -> Type where + stop : HasType fZ (t :: G) t + pop : HasType k G t -> HasType (fS k) (u :: G) t + + lookup : HasType i G t -> Env G -> interpTy t + lookup stop (x :: xs) = x + lookup (pop k) (x :: xs) = lookup k xs + + data Expr : Vect n Ty -> Ty -> Type where + Var : HasType i G t -> Expr G t + Val : (x : Int) -> Expr G TyInt + Lam : Expr (a :: G) t -> Expr G (TyFun a t) + App : Expr G (TyFun a t) -> Expr G a -> Expr G t + Op : (interpTy a -> interpTy b -> interpTy c) -> Expr G a -> Expr G b -> + Expr G c + If : Expr G TyBool -> Expr G a -> Expr G a -> Expr G a + Bind : Expr G a -> (interpTy a -> Expr G b) -> Expr G b + + dsl expr + lambda = Lam + variable = Var + index_first = stop + index_next = pop + + (<$>) : |(f : Expr G (TyFun a t)) -> Expr G a -> Expr G t + (<$>) = \f, a => App f a + + pure : Expr G a -> Expr G a + pure = id + + syntax IF [x] THEN [t] ELSE [e] = If x t e + + (==) : Expr G TyInt -> Expr G TyInt -> Expr G TyBool + (==) = Op (==) + + (<) : Expr G TyInt -> Expr G TyInt -> Expr G TyBool + (<) = Op (<) + + instance Num (Expr G TyInt) where + (+) x y = Op (+) x y + (-) x y = Op (-) x y + (*) x y = Op (*) x y + + abs x = IF (x < 0) THEN (-x) ELSE x + + fromInteger = Val . fromInteger + + interp : Env G -> {static} Expr G t -> interpTy t + interp env (Var i) = lookup i env + interp env (Val x) = x + interp env (Lam sc) = \x => interp (x :: env) sc + interp env (App f s) = (interp env f) (interp env s) + interp env (Op op x y) = op (interp env x) (interp env y) + interp env (If x t e) = if (interp env x) then (interp env t) else (interp env e) + interp env (Bind v f) = interp env (f (interp env v)) + + eId : Expr G (TyFun TyInt TyInt) + eId = expr (\x => x) + + eTEST : Expr G (TyFun TyInt (TyFun TyInt TyInt)) + eTEST = expr (\x, y => y) + + eAdd : Expr G (TyFun TyInt (TyFun TyInt TyInt)) + eAdd = expr (\x, y => Op (+) x y) + + eDouble : Expr G (TyFun TyInt TyInt) + eDouble = expr (\x => App (App eAdd x) (Var stop)) + + eFac : Expr G (TyFun TyInt TyInt) + eFac = expr (\x => IF x == 0 THEN 1 ELSE [| eFac (x - 1) |] * x) + +testFac : Int +testFac = interp [] eFac 4 + +main : IO () +main = print testFac + + |