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examples: remove lambda.ml
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2 changed files with 0 additions and 118 deletions
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@ -7,9 +7,3 @@
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(ocamlopt_flags :standard -O3 -color always
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-unbox-closures -unbox-closures-factor 20)
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)
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(executable
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(name lambda)
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(libraries printbox)
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(modules lambda)
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)
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@ -1,112 +0,0 @@
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(** Example of printing trees: lambda-term evaluation *)
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type term =
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| Lambda of string * term
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| App of term * term
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| Var of string
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let _gensym =
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let r = ref 0 in
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fun () ->
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let s = Printf.sprintf "x%d" !r in
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incr r;
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s
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module SSet = Set.Make(String)
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module SMap = Map.Make(String)
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let rec fvars t = match t with
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| Var s -> SSet.singleton s
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| Lambda (v,t') ->
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let set' = fvars t' in
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SSet.remove v set'
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| App (t1, t2) -> SSet.union (fvars t1) (fvars t2)
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(* replace [var] with the term [by] *)
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let rec replace t ~var ~by = match t with
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| Var s -> if s=var then by else t
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| App (t1,t2) -> App (replace t1 ~var ~by, replace t2 ~var ~by)
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| Lambda (v, _t') when v=var -> t (* no risk *)
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| Lambda (v, t') -> Lambda (v, replace t' ~var ~by)
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(* rename [t] so that [var] doesn't occur in it *)
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let rename ~var t =
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if SSet.mem var (fvars t)
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then replace t ~var ~by:(Var (_gensym ()))
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else t
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let (>>=) o f = match o with
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| None -> None
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| Some x -> f x
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let rec one_step t = match t with
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| App (Lambda (var, t1), t2) ->
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let t2' = rename ~var t2 in
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Some (replace t1 ~var ~by:t2')
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| App (t1, t2) ->
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begin match one_step t1 with
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| None ->
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one_step t2 >>= fun t2' ->
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Some (App (t1,t2'))
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| Some t1' ->
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Some (App (t1',t2))
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end
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| Var _ -> None
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| Lambda (v,t') ->
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one_step t' >>= fun t'' ->
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Some (Lambda (v, t''))
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let normal_form t =
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let rec aux acc t = match one_step t with
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| None -> List.rev (t::acc)
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| Some t' -> aux (t::acc) t'
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in
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aux [] t
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let _split_fuel f =
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assert (f>=2);
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if f=2 then 1,1
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else
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let x = 1+Random.int (f-1) in
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f-x, x
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let _random_var () =
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let v = [| "x"; "y"; "z"; "u"; "w" |] in
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v.(Random.int (Array.length v))
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let _choose_var ~vars = match vars with
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| [] -> Var (_random_var ())
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| _::_ ->
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let i = Random.int (List.length vars) in
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List.nth vars i
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let rec _random_term fuel vars =
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match Random.int 2 with
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| _ when fuel = 1 -> _choose_var ~vars
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| 0 ->
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let f1,f2 = _split_fuel fuel in
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App (_random_term f1 vars, _random_term f2 vars)
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| 1 ->
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let v = _random_var () in
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Lambda (v, _random_term (fuel-1) (Var v::vars))
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| _ -> assert false
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let print_term t =
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PrintBox.mk_tree
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(function
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| Var v -> PrintBox.line v, []
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| App (t1,t2) -> PrintBox.line "app", [t1;t2]
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| Lambda (v,t') -> PrintBox.line "lambda", [Var v; t']
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) t
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let print_reduction t =
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let l = normal_form t in
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let l = List.map (fun t -> PrintBox.pad (print_term t)) l in
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PrintBox.vlist ~bars:false l
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let () =
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Random.self_init ();
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let t = _random_term (5 + Random.int 20) [] in
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PrintBox_text.output ~indent:2 stdout (print_reduction t)
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