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- module M = import "data/map.ml"
- module S = import "data/set.ml"
-
- open import "prelude.ml"
- open import "./lang.ml"
- open import "./lib/monads.ml"
-
- type addr =
- | Combinator of string
- | Arg of int
- | Int of int
-
- type gm_code =
- | Push of addr
- | Update of int
- | Pop of int
- | Unwind
- | Mkap
- | Add | Sub | Mul | Div | Eval
- | Iszero of list gm_code * list gm_code
-
- instance show gm_code begin
- let show = function
- | Mkap -> "Mkap"
- | Unwind -> "Unwind"
- | Push (Combinator k) -> "Push " ^ k
- | Push (Arg i) -> "Arg " ^ show i
- | Push (Int i) -> "Int " ^ show i
- | Update n -> "Update " ^ show n
- | Pop n -> "Pop " ^ show n
- | Add -> "Add"
- | Mul -> "Mul"
- | Sub -> "Sub"
- | Div -> "Div"
- | Eval -> "Eval"
- | Iszero p -> "Iszero " ^ show p
- end
-
- type program_item =
- | Sc of string * int * list gm_code
- | Fd of fdecl
-
- let rec lambda_lift = function
- | Ref v -> pure (Ref v)
- | Lit v -> pure (Lit v)
- | App (f, x) -> (| app (lambda_lift f) (lambda_lift x) |)
- | Lam (v, x) ->
- let! body = lambda_lift x
- let! (i, defs, known_sc) = get
-
- let vars =
- x |> free_vars
- |> S.delete v
- |> flip S.difference known_sc
- |> S.members
-
- let def = ("Lam" ^ show i, vars ++ [v], body)
- let app = foldl (fun f -> app f # Ref) (Ref ("Lam" ^ show i)) vars
-
- put (i + 1, Decl def :: defs, known_sc)
- |> map (const app)
- | Case (sc, alts) ->
- alts
- |> map (fun (_, x) -> x)
- |> foldl app sc
- |> lambda_lift
-
- let rec eta_contract = function
- | Decl (n, a, e) as dec ->
- match a, e with
- | [], _ -> dec
- | xs, App (f, Ref v) ->
- if v == last xs && not (S.member v (free_vars f)) then
- eta_contract (Decl (n, init a, f))
- else
- dec
- | _, _ -> dec
- | Data c -> Data c
- | Foreign i -> Foreign i
-
- let rec lambda_lift_sc = function
- | Decl (n, a, e) ->
- match e with
- | Lam (v, e) -> lambda_lift_sc (Decl (n, a ++ [v], e))
- | _ ->
- let! e = lambda_lift e
- let! _ = modify (fun (a, b, s) -> (a, b, S.insert n s))
- pure (Decl (n, a, e))
- | Data c -> Data c |> pure
- | Foreign i -> Foreign i |> pure
-
- type dlist 'a <- list 'a -> list 'a
-
- let cg_prim (Fimport { var, fent }) =
- let prim_math_op x =
- [ Push (Arg 0), Eval, Push (Arg 2), Eval, x, Update 2, Pop 2, Unwind ]
- let prim_equality =
- [ Push (Arg 0), Eval (* x, arg0, arg1, arg2, arg3 *)
- , Push (Arg 2), Eval (* y, x, arg0, arg1, arg2, arg3 *)
- , Sub (* y - x, arg0, arg1, arg2, arg3 *)
- , Iszero ([ Push (Arg 3) ], [ Push (Arg 4) ])
- , Push (Int 0), Mkap, Update 4, Pop 4, Unwind ]
- match fent with
- | "add" -> Sc (var, 2, prim_math_op Add)
- | "sub" -> Sc (var, 2, prim_math_op Sub)
- | "mul" -> Sc (var, 2, prim_math_op Mul)
- | "div" -> Sc (var, 2, prim_math_op Div)
- | "equ" -> Sc (var, 4, prim_equality)
- | e -> error @@ "No such primitive " ^ e
-
- let rec compile (env : M.t string int) = function
- | Ref v ->
- match M.lookup v env with
- | Some i -> (Push (Arg i) ::)
- | None -> (Push (Combinator v) ::)
-
- | App (f, x) ->
- let f = compile env f
- let x = compile (map (1 +) env) x
- f # x # (Mkap ::)
-
- | Lam _ ->
- error "Can not compile lambda expression, did you forget to lift?"
- | Case _ ->
- error "Can not compile case expression, did you forget to lift?"
- | Lit i -> (Push (Int i) ::)
-
- let supercomb (_, args, exp) =
- let env = M.from_list (zip args [0..length args])
- let k = compile (M.from_list (zip args [0..length args])) exp
- k [Update (length env), Pop (length env), Unwind]
-
- let known_scs = S.from_list [ "getchar", "putchar" ]
-
- let program decs =
- let (decs, (_, lams, _)) =
- run_state (traverse (lambda_lift_sc # eta_contract) decs) (0, [], known_scs)
- let define nm =
- let! x = get
- if nm `S.member` x then
- error @@ "Redefinition of value " ^ nm
- else
- modify (S.insert nm)
-
- let go =
- flip traverse (lams ++ decs) @@ function
- | Decl ((nm, args, _) as sc) ->
- let! _ = define nm
- let code = supercomb sc
- Sc (nm, length args, code) |> pure
- | Data _ -> error "data declaration in compiler"
- | Foreign (Fimport { cc = Prim, var } as fi) ->
- let! _ = define var
- pure (cg_prim fi)
- | Foreign f -> pure (Fd f)
- let (out, _) = run_state go S.empty
- out
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