patterns.ml 21.2 KB
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type capture = string
type fv = capture SortedList.t
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exception IllFormedCup of fv * fv
exception IllFormedCap of fv * fv
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(* Syntactic algebra *)
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type d =
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  | Constr of Types.node
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  | Cup of descr * descr
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  | Cap of descr * descr
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  | Times of node * node
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  | Record of Types.label * node
  | Capture of capture
  | Constant of capture * Types.const
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and node = {
  id : int;
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  mutable descr : descr option;
  accept : Types.node;
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  fv : fv
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} and descr = Types.descr * fv * d
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let make =
  let counter = ref 0 in
  fun fv ->
    incr counter;
    { id = !counter; descr = None; accept = Types.make (); fv = fv }
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let define x ((accept,fv,_) as d) =
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  assert (x.fv = fv);
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  Types.define x.accept accept;
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  x.descr <- Some d
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let constr x = (Types.descr x,[],Constr x)
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let cup ((acc1,fv1,_) as x1) ((acc2,fv2,_) as x2) = 
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  if fv1 <> fv2 then raise (IllFormedCup (fv1,fv2));
  (Types.cup acc1 acc2, SortedList.cup fv1 fv2, Cup (x1,x2))
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let cap ((acc1,fv1,_) as x1) ((acc2,fv2,_) as x2) = 
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  if not (SortedList.disjoint fv1 fv2) then raise (IllFormedCap (fv1,fv2));
  (Types.cap acc1 acc2, SortedList.cup fv1 fv2, Cap (x1,x2))
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let times x y =
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  (Types.times x.accept y.accept, SortedList.cup x.fv y.fv, Times (x,y))
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let record l x = 
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  (Types.record l false x.accept, x.fv, Record (l,x))
let capture x = (Types.any, [x], Capture x)
let constant x c = (Types.any, [x], Constant (x,c))
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let id x = x.id
let descr x = match x.descr with Some d -> d | None -> failwith "Patterns.descr"
let fv x = x.fv
let accept x = Types.internalize x.accept
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(* Static semantics *)

let cup_res v1 v2 = Types.Positive.cup [v1;v2]
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let empty_res fv = List.map (fun v -> (v, Types.Positive.ty Types.empty)) fv
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let times_res v1 v2 = Types.Positive.times v1 v2

module MemoFilter = Map.Make 
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  (struct type t = Types.descr * node let compare = compare end)
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let memo_filter = ref MemoFilter.empty

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let rec filter_descr t (_,fv,d) : (capture, Types.Positive.v) SortedMap.t =
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  if Types.is_empty t 
  then empty_res fv
  else
    match d with
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      | Constr _ -> []
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      | Cup ((a,_,_) as d1,d2) ->
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	  SortedMap.union cup_res
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	    (filter_descr (Types.cap t a) d1)
	    (filter_descr (Types.diff t a) d2)
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      | Cap (d1,d2) ->
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	  SortedMap.union cup_res (filter_descr t d1) (filter_descr t d2)
      | Times (p1,p2) ->
	  List.fold_left 
	    (fun accu (d1,d2) ->
	       let term = 
		 SortedMap.union times_res 
		   (filter_node d1 p1) 
		   (filter_node d2 p2)
	       in
	       SortedMap.union cup_res accu term
	    )
	    (empty_res fv)
	    (Types.Product.normal t)
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      | Record (l,p) ->
	  filter_node (Types.Record.project t l) p
      | Capture c ->
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	  [(c, Types.Positive.ty t)]
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      | Constant (c, cst) ->
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	  [(c, Types.Positive.ty (Types.constant cst))]

and filter_node t p : (capture, Types.Positive.v) SortedMap.t =
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  try MemoFilter.find (t,p) !memo_filter
  with Not_found ->
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    let (_,fv,_) as d = descr p in
    let res = List.map (fun v -> (v,Types.Positive.forward ())) fv in
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    memo_filter := MemoFilter.add (t,p) res !memo_filter;
    let r = filter_descr t (descr p) in
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    List.iter2 (fun (_,r) (_,v) -> Types.Positive.define v r) r res;
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    r

let filter t p =
  let r = filter_node t p in
  memo_filter :=  MemoFilter.empty;
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  List.map (fun (c,v) -> (c,Types.Positive.solve v)) r
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(* Normal forms for patterns and compilation *)
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module NF = 
struct

  type 'a sl = 'a SortedList.t
  type ('a,'b) sm = ('a,'b) SortedMap.t

  type source = 
      [ `Catch | `Const of Types.const 
      | `Left | `Right | `Recompose 
      | `Field of Types.label 
      ]
  type result = (capture, source) sm

  type nf = {
    v     : fv;
    a     : Types.descr;
    basic : (result, Types.descr) sm;
    prod  : (result * Types.descr * node sl * node sl) sl;
    record: (result * Types.descr * (Types.label, node sl) sm) sl;
  }
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  let empty = { v = []; a = Types.empty; basic = []; prod = []; record = [] }
  let any_basic = Types.neg (Types.cup Types.Product.any Types.Record.any)
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  let restrict t nf =
    let map_filter f l =
      let g accu x = match f x with Some y -> y::accu | None -> accu in
      SortedList.from_list (List.fold_left g [] l) in
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    let aux_basic (res,bt) = 
      let bt = Types.cap t bt in
      if Types.is_empty bt then None else Some (res,bt) in
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    let aux_prod (res,bt,p,q) =
      let bt = Types.cap t bt in
      if Types.is_empty bt then None else Some (res,bt,p,q) in
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    let aux_record (res,bt,r) =
      let bt = Types.cap t bt in
      if Types.is_empty bt then None else Some (res,bt,r) in
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    {  v = nf.v;
       a = Types.cap t nf.a;
       basic = map_filter aux_basic nf.basic;
       prod = map_filter aux_prod nf.prod;
       record = map_filter aux_record nf.record;
    }
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  let fus = SortedMap.union_disj
  let slcup = SortedList.cup
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  let cap nf1 nf2 =
    let aux f x1 x2 = 
      SortedList.from_list 
	(List.fold_left (fun accu a -> List.fold_left (f a) accu x2) [] x1) in
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    let aux_basic (res1,t1) accu (res2,t2) =
      let t = Types.cap t1 t2 in
      if Types.is_empty t then accu 
      else (fus res1 res2, t)::accu in
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    let aux_prod (res1,t1,p1,q1) accu (res2,t2,p2,q2) =
      let t = Types.cap t1 t2 in
      if Types.is_empty t then accu 
      else (fus res1 res2, t, slcup p1 p2, slcup q1 q2)::accu in
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    let aux_record (res1,t1,r1) accu (res2,t2,r2) =
      let t = Types.cap t1 t2 in
      if Types.is_empty t then accu 
      else (fus res1 res2, t, SortedMap.union slcup r1 r2)
	::accu in

    { v = SortedList.cup nf1.v nf2.v;
      a = Types.cap nf1.a nf2.a;
      basic = SortedMap.from_sorted_list Types.cup 
		(aux aux_basic nf1.basic nf2.basic);
      prod = aux aux_prod nf1.prod nf2.prod;
      record = aux aux_record nf1.record nf2.record;
    }
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  let cup acc1 nf1 nf2 =
    let nf2 = restrict (Types.neg acc1) nf2 in
    { v = SortedList.cup nf1.v nf2.v;
      a = Types.cup nf1.a nf2.a;
      basic = SortedMap.union Types.cup nf1.basic nf2.basic;
      prod  = SortedList.cup nf1.prod nf2.prod;
      record = SortedList.cup nf1.record nf2.record;
    }
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  let times acc p q = 
    let src_p = List.map (fun v -> (v,`Left)) p.fv
    and src_q = List.map (fun v -> (v,`Right)) q.fv in
    let src = SortedMap.union (fun _ _ -> `Recompose) src_p src_q in 
    { empty with 
	v = SortedList.cup p.fv q.fv; 
	a = acc;
	prod = [ src, acc, [p], [q] ] }

  let record acc l p =
    let src = List.map (fun v -> (v, `Field l)) p.fv in
    { empty with
	v = p.fv;
	a = acc;
	record = [ src, acc, [l,[p]] ] }

  let any =
    { v = [];
      a = Types.any;
      basic = [ [], any_basic ]; 
      prod  = [ [], Types.Product.any,[],[] ];
      record = [ [], Types.Record.any,[] ];
    }
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  let capture x =
    let l = [x,`Catch] in
    { v = [x];
      a = Types.any;
      basic = [ l, any_basic ]; 
      prod  = [ l, Types.Product.any,[],[] ];
      record = [ l, Types.Record.any,[] ];
    }
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  let constant x c =
    let l = [x,`Const c] in
    { v = [x];
      a = Types.any;
      basic = [ l, any_basic ]; 
      prod  = [ l, Types.Product.any,[],[] ];
      record = [ l, Types.Record.any,[] ];
    }
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  let constr t =
    { v = [];
      a = t;
      basic = [ [], Types.cap t any_basic ];
      prod  = [ [], Types.cap t Types.Product.any,[],[] ];
      record = [ [], Types.cap t Types.Record.any,[] ];
    }
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(* Put a pattern in normal form *)
  let rec nf (acc,fv,d) =
    if Types.is_empty acc 
    then empty
    else match d with
      | Constr t -> constr (Types.descr t)
      | Cap (p,q) -> cap (nf p) (nf q)
      | Cup ((acc1,_,_) as p,q) -> cup acc1 (nf p) (nf q)
      | Times (p,q) -> times acc p q
      | Capture x -> capture x
      | Constant (x,c) -> constant x c
      | Record (l,p) -> record acc l p

  let bigcap = List.fold_left (fun a p -> cap a (nf (descr p))) any

  let rec num i = function [] -> [] | h::t -> (h,i)::(num (i+1) t)


  module Dispatch = struct
    type t = { 
      fv    : fv list;
      masks : (mask * int) list;
      basic : (Types.descr * (result option list)) list;
      prod  : prod;
      record: record;
    }
    and prod = disp * (mask * disp * (mask * prod_result) list) list 
    and prod_result = (result * (int * int)) option list
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    and record = 
	[ `Label of Types.label * disp * (mask * record) list * record option
	| `Result of record_result ]
    and record_result = (result * (Types.label * int) list) option list
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    and mask = bool list
    and disp = Types.descr * nf SortedList.t
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  end
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  let collect f pp =
    let aux accu (res,x) = (f x) :: accu in
    SortedList.from_list (List.fold_left (List.fold_left aux) [] pp)
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  let rec map_map f = function 
    | [] -> [] 
    | x::l -> 
	try let y = f x in y::(map_map f l)
	with Not_found -> map_map f l
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  let get_option = function [x] -> Some x | [] -> None | _ -> assert false
  let extract_unique f l = get_option (map_map f l)
(* Could optimize to extract directly the first (and single) *)

(* Basic (and arrow) types *)

  let filter_basic ty =
    let aux (k,t) = if Types.subtype ty t then k else raise Not_found in
    List.map (extract_unique aux)
   
  let dispatch_basic t pl =
    let rec aux pl accu t l = 
      if Types.is_empty t then accu 
      else match l with
	| [] ->
	    let pl = filter_basic t pl in
	    (t, pl) :: accu
	| ty :: rem ->
	    let accu = aux pl accu (Types.cap t ty) rem in
	    let accu = aux pl accu (Types.diff t ty) rem in
	    accu
    in
    let pl = List.map (fun p -> p.basic) pl in
    let tests = collect (fun x -> x) pl in
    let t = Types.cap any_basic t in
    aux pl [] t tests

(* Product types *)

  let filter_prod1 success =
    let aux (res,(p,q)) = (res,(List.assoc p success,q)) in
    List.map (map_map aux)

  let filter_prod2 success =
    let aux (res,(i,q)) = (res,(i,List.assoc q success)) in
    List.map (extract_unique aux)

  let prepare_prod p =
    let line accu (res,t,pl,ql) =
      let p = bigcap pl and q = bigcap ql in
      let aux accu (t1,t2) = (res,(restrict t1 p,restrict t2 q))::accu in
      List.fold_left aux accu (Types.Product.normal t) in
    List.fold_left line [] p.prod

  let rec dispatch_prod t pl =
    let pl = List.map prepare_prod pl in
    let tests = collect (fun (p,_) -> p) pl in
    let t = Types.Product.get t in
    let disp = aux_prod1 t pl [] [] [] 0 tests in
    let pi1 = Types.Product.pi1 t in
    ((pi1,tests),disp)

  and aux_prod2 t pl accu mask success j tests = 
    if Types.is_empty t then accu 
    else match tests with
      | [] ->
	  let pl = filter_prod2 success pl in
	  (List.rev mask, pl) :: accu
      | p :: rem -> 
	  let accu =
	    let t = Types.cap t p.a in
	    aux_prod2 t pl accu (true::mask) ((p,j)::success) (j+1) rem in
	  let accu =
	    let t = Types.diff t p.a in
	    aux_prod2 t pl accu (false::mask) success (j+1) rem in
	  accu
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  and aux_prod1 t pl accu mask success i tests =
    if t = [] then accu 
    else match tests with
      | [] ->
	  let pl = filter_prod1 success pl in
	  let t = Types.Product.pi2 t in
	  let tests = collect (fun (_,q)-> q) pl in
	  let disp = aux_prod2 t pl [] [] [] 0 tests in
	  let mask = List.rev mask in
	  (mask, (t,tests), disp) :: accu
      | p :: rem ->
	  let accu = 
	    let t = Types.Product.restrict_1 t p.a in
	    aux_prod1 t pl accu (true::mask) ((p,i)::success) (i+1) rem in
	  let accu =
	    let t = Types.Product.restrict_1 t (Types.neg p.a) in
	    aux_prod1 t pl accu (false::mask) success (i+1) rem in
	  accu

(* Record types *)
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  type record =
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      [ `Success
      | `Fail
      | `Dispatch of (nf * record) list
      | `Label of Types.label * (nf * record) list * record ]
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  let map_record f = 
    let rec aux = function
      | [] -> []
      | h::t -> (match f h with (_,_,`Fail) -> aux t | x -> x :: (aux t)) in
    List.map aux

  let label_found l = 
    map_record 
      (function
	 | (res, catch, `Label (l1, pr, _)) when l1 = l -> 
	     (res, catch, `Dispatch pr)
	 | x -> x)

  let label_disp l success =
    map_record
      (function
	 | (res, catch, `Dispatch disp) ->
	     let aux (p,rem) = (List.assoc p success, rem) in
	     (match extract_unique aux disp with
		| None -> (res, catch, `Fail)
		| Some (i,rem) -> (res, (l, i)::catch, rem))
	 | x -> x)

  let label_not_found l = 
    map_record 
      (function
	 | (res, catch, `Label (l1, _, ab)) when l1 = l -> (res, catch, ab)
	 | x -> x)


  let dummy_label = Types.label ""

  let collect_first_label pp =
    let f = ref true and m = ref dummy_label in
    let aux = function
      | (_, _, `Label (l, _, _)) ->
	  if (!f) then (f := false; m := l) else if (l < !m) then m:= l;
      | _ -> () in
    List.iter (List.iter aux) pp;
    if !f then None else Some !m

  let collect_record pp =
    let aux accu = function
      | (res,catch,`Dispatch disp) ->  
	  List.fold_left (fun accu (p,_) -> p :: accu) accu disp
      | _ -> accu in
    SortedList.from_list (List.fold_left (List.fold_left aux) [] pp)

  let final_record =
    let aux = function
      | [(res, catch, `Success)] -> Some (res, catch)
      | [] -> None
      | _ -> assert false in
    List.map aux

  let rec cap_record nr fields = 
    match (nr,fields) with
    | (`Success, []) -> `Success
    | (`Fail,_) -> `Fail
    | (`Success, (l2,pl)::fields) ->
	`Label (l2, [bigcap pl, cap_record nr fields], `Fail)
    | (`Label (l1, _, _), (l2,pl)::fields) 
	when l2 < l1 ->
	`Label (l2, [bigcap pl, cap_record nr fields], `Fail)
    | (`Label (l1, pr, _), (l2,pl)::fields) 
	when l1 = l2 ->
	let p = bigcap pl in
	let pr = 
	  List.map (fun (t,x) -> (restrict t p, cap_record x fields)) pr in
	`Label (l1, pr, `Fail)
    | (`Label (l1, pr, ab),_) ->
	let pr = 
	  List.map (fun (t,x) -> (constr t, cap_record x fields)) pr in
	`Label (l1, pr, cap_record ab fields)


  let prepare_record =
    map_record 
      (function (res,t,fields) ->
	 let nr = Types.Record.normal t in
	 let x = cap_record nr fields in
	 (res, [], x)
      )
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(* combiner les restrict field, ... *)
  let rec dispatch_record t pl =
    let pl = prepare_record (List.map (fun p -> p.record) pl) in
    let t = Types.Record.get t in
    aux_record1 t pl
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  and aux_record1 t pl =
    match collect_first_label pl with
      | None -> `Result (final_record pl)
      | Some l ->
	  let (disp,pr) = 
	    let pl = label_found l pl in
	    let tests = collect_record pl in
	    let t = Types.Record.restrict_label_present t l in
	    let disp = aux_record2 t pl l [] [] [] 0 tests in
	    ((Types.Record.project_field t l, tests),disp)
	  in
	  let ab = 
	    let pl = label_not_found l pl in
	    let t = Types.Record.restrict_label_absent t l in
	    if Types.Record.is_empty t then None 
	    else Some (aux_record1 t pl)
	  in
	  `Label (l, disp, pr, ab)
	    
  and aux_record2 t pl l accu mask success i tests =
    if Types.Record.is_empty t then accu
    else match tests with
      | [] ->
	  let pl = label_disp l success pl in
	  let disp = aux_record1 t pl in
	  (List.rev mask, disp) :: accu
      | p :: rem ->
	  let accu =
	    let t = Types.Record.restrict_field t l p.a in
	    aux_record2 t pl l accu (true::mask) ((p,i)::success) (i+1) rem in
	  let accu =
	    let t = Types.Record.restrict_field t l (Types.neg p.a) in
	    aux_record2 t pl l accu (false::mask) success (i+1) rem in
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	  accu
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  let mask l = List.map (function None -> false | Some _ -> true) l

  let rec dispatch (t : Types.descr) (pl : nf list) =
    let pl = List.map (restrict t) pl in
    let basic = dispatch_basic t pl
    and prod = dispatch_prod t pl 
    and record = dispatch_record t pl in

    let masks =
      let accu = ref [] in
      let acc r = accu := (mask r) :: !accu in
      List.iter (fun (_,r) -> acc r) basic;
      List.iter (fun (_,_,l) -> List.iter (fun (_,r) -> acc r) l) (snd prod);
      num 0 (SortedList.from_list !accu) in

    { 
      Dispatch.fv = List.map (fun p -> p.v) pl;
      Dispatch.masks = masks;
      Dispatch.basic = basic;
      Dispatch.prod = prod;
      Dispatch.record = record;
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    }

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  let to_print = ref []
  let memo = ref []
  let count = ref 0
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  let print_fv ppf fv =
    List.iter (fun x -> Format.fprintf ppf "{%s}" x) fv
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  let res_basic x = function
    | `Catch -> "v"
    | `Const c -> "const"
    | _ -> assert false
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  let res_prod i j x res = 
    match res with
      | `Left -> Printf.sprintf "l%i_%s" i x
      | `Right -> Printf.sprintf "r%i_%s" j x
      | `Recompose -> Printf.sprintf "(l%i_%s,r%i_%s)" i x j x
      | _ -> res_basic x res
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  let res_record m x res = 
    match res with
      | `Field l -> 
	  Printf.sprintf "f%s_%i_%s" (Types.label_name l) (List.assoc l m) x
      | _ -> res_basic x res
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  let print_mask ppf =
    List.iter (fun b -> Format.fprintf ppf "%i" (if b then 1 else 0))
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  let compute_vars mask pl =
    List.fold_right2
      (fun (b,i) p acc -> 
	 if b then List.fold_right (fun v acc -> (i,v)::acc) p.v acc
	 else acc
      )
      (num 0 mask) pl []

  let compute_result f result =
    List.fold_right
      (function
	 | None -> (fun acc -> acc)
	 | Some x ->
	     let (r,res) = f x in
	     List.fold_right (fun (x,s) acc -> res x s :: acc) r
      )
      result []
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  let print_success ppf (mask,pl,pr) =
    let vars = 
      let v = compute_vars mask pl in
      if v = [] then "" else
	let v = List.map (fun (i,v) -> Format.sprintf "%s%i_%s" pr i v) v in
	" (" ^ String.concat ", " v ^ ")" in
    Format.fprintf ppf "`S%a%s" print_mask mask vars
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  let print_result f ppf result =
    let res = compute_result f result in
    let res = if res = [] then "" else " (" ^ String.concat ", " res ^ ")" in
    Format.fprintf ppf "`S%a%s" print_mask (mask result) res
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  let no t pl = 
    try List.assoc (t,pl) !memo 
    with Not_found ->
      incr count;
      let d = dispatch t pl in
      memo := ((t,pl),!count) :: !memo;
      to_print := (!count, d) :: !to_print;
      !count

  let rec show ppf num d =
    Format.fprintf ppf "let matcher_%i v = match v with@\n" num;
    show_basic ppf d.Dispatch.basic;
    show_prod ppf d.Dispatch.prod;
    show_record ppf d.Dispatch.record;
    Format.fprintf ppf "@\n"

  and show_basic ppf =
    let pr_basic ppf t =
      if Types.subtype any_basic t then Format.fprintf ppf "AnyBasic"
      else Types.Print.print_descr ppf t in
    let case (t,result) = 
      Format.fprintf ppf "  | @[%a@] -> %a@\n" 
	pr_basic t
	(print_result (fun res -> (res,res_basic))) result in
    List.iter case
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  and show_prod ppf = function
    | (_, []) -> ()
    | ((t1,pl1), cases1) ->
	Format.fprintf ppf 
	"  | (v1,v2) -> match matcher_%i v1 with@\n" (no t1 pl1);
	List.iter (case_prod1 ppf pl1) cases1
  and case_prod2 ppf pl2 (mask2, result) =
    Format.fprintf ppf "          | %a -> %a@\n" 
      print_success (mask2,pl2,"r")
      (print_result (fun (res,(i,j)) -> (res,res_prod i j))) result
  and case_prod1 ppf pl1 (mask1, (t2,pl2), cases2) =
    Format.fprintf ppf "      | %a -> match matcher_%i v2 with@\n" 
      print_success (mask1,pl1,"l")
      (no t2 pl2);
    List.iter (case_prod2 ppf pl2) cases2

  and show_record ppf r =
    Format.fprintf ppf "  | Record r -> @\n";
    Format.fprintf ppf "     @[%a@]@\n" show_record_aux r

  and show_record_aux ppf = function
    | `Result r  ->
	print_result (fun (res,m) -> (res, res_record m)) ppf r
    | `Label (l, (t,pl), cases, ab) -> 
	let ln = Types.label_name l in
	Format.fprintf ppf "match matcher_%i r.%s with@\n" (no t pl) ln;
	if cases <> [] then
	  (
	    let case (mask, rem) =
	      Format.fprintf ppf "  | %a -> @\n    @[%a@]@\n"
		print_success (mask, pl, Printf.sprintf "f%s_" ln)
		show_record_aux rem
	    in
	    List.iter case cases;
	  );
	(match ab with
	   | Some ab ->
	       Format.fprintf ppf 
	      "  | absent -> @\n    @[%a@]@\n" show_record_aux ab
	   | None -> ()
	)
	
	
    
  let show ppf t pl =
    ignore (no t pl);
    let rec loop () = 
      match !to_print with
	| (n,d)::r -> to_print:=r; show ppf n d; loop ()
	| [] -> ()
    in
    loop ()
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  let get i =
    fst (List.find (fun (_,j) -> i = j) !memo)
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end   
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(*
  let test_filter t p = 
    let t = Syntax.make_type (Syntax.parse t)
    and p = Syntax.make_pat (Syntax.parse p) in
    let r = Patterns.filter (Types.descr t) p in
    List.iter (fun (v,t) -> 
                 let t = Types.normalize t in
                 Format.fprintf Format.std_formatter "@[%s => %a@]@\n"
                       v Types.Print.print t) r;;
test_filter "[ (1 2 3?)* ]" "[ (x::(1 2) 3?)* ]";;
*)
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(*
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let pat s = Patterns.descr (Typer.pat (Parser.From_string.pat s));;
let typ s = Types.descr (Typer.typ (Parser.From_string.pat s));;
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let f s = Patterns.NF.nf (pat s);;
let show' t l = Patterns.NF.show Format.std_formatter t (List.map f l);;
let show l = show' Types.any l;;
let showt t l = show' (typ t) l;;
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 showt " [(`A `B `C?)*] "  [" [ (((x::`A) `B (x::`C))|_)* ] "];;

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show ["{x=2;y=3}"];;
show [" [((x::1)|(y::2))*] "];;
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let g s =
   Patterns.NF.ProdMap.fold (fun k x acc -> (k,x)::acc) (Patterns.NF.left (f s)) [];;
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 Patterns.NF.dispatch Types.any [ f "(x,y)" ];;
 Patterns.NF.show Format.std_formatter 0 Types.any [ f "(x,y)" ];;
 Patterns.NF.show Format.std_formatter 0 Types.any [ f "(0--100,x) | (_,(x:=10))" ];;
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let t = Types.descr (Syntax.make_type (Syntax.parse "[_*]")) in
Patterns.NF.show Format.std_formatter 0 t [ f "[((x::5)|_)*]" ];;
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Patterns.NF.show Format.std_formatter 0 Types.any [ f "(x,y)"; f "(x,y)"];;
Patterns.NF.show Format.std_formatter 0 Types.any [ f "x"; f "y"];;

show [ "((x,_),_)"; "((_,x),_)" ];;
showt " [ (1 3?)* ]" [ " [(x::1 3?)*] " ];;
showt " [ (1 3?)* ]" [ " [(1 (x::3)?)*] " ];;
#install_printer Types.Print.print;;
#install_printer Types.Print.print_descr;;
let (t,[p1;p2]) = Patterns.NF.get 5;;
741
*)