X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Fng_refiner%2FnCicRefiner.ml;h=705d80cd451611015abcd374639959408ac91e11;hb=ccf5878f2a2ec7f952f140e162391708a740517b;hp=8c5dcae76d0d700e5a93156faa32bdb5eae66ba0;hpb=1c950d8cfe400f6b68eee7a67c555549db3a4d36;p=helm.git diff --git a/helm/software/components/ng_refiner/nCicRefiner.ml b/helm/software/components/ng_refiner/nCicRefiner.ml index 8c5dcae76..705d80cd4 100644 --- a/helm/software/components/ng_refiner/nCicRefiner.ml +++ b/helm/software/components/ng_refiner/nCicRefiner.ml @@ -18,16 +18,37 @@ exception AssertFailure of string Lazy.t;; module C = NCic module Ref = NReference +let debug = ref false;; let indent = ref "";; -let inside c = indent := !indent ^ String.make 1 c;; -let outside () = indent := String.sub !indent 0 (String.length !indent -1);; - - -let pp s = +let times = ref [];; +let pp s = + if !debug then prerr_endline (Printf.sprintf "%-20s" !indent ^ " " ^ Lazy.force s) -;; +;; +let inside c = + if !debug then + begin + let time1 = Unix.gettimeofday () in + indent := !indent ^ String.make 1 c; + times := time1 :: !times; + prerr_endline ("{{{" ^ !indent ^ " ") + end +;; +let outside ok = + if !debug then + begin + let time2 = Unix.gettimeofday () in + let time1 = + match !times with time1::tl -> times := tl; time1 | [] -> assert false in + prerr_endline ("}}} " ^ string_of_float (time2 -. time1)); + if not ok then prerr_endline "exception raised!"; + try + indent := String.sub !indent 0 (String.length !indent -1) + with + Invalid_argument _ -> indent := "??"; () + end +;; -let pp _ = ();; let wrap_exc msg = function | NCicUnification.Uncertain _ -> Uncertain msg @@ -36,17 +57,41 @@ let wrap_exc msg = function | e -> raise e ;; -let exp_implicit metasenv context expty = - let foo x = match expty with Some t -> `WithType t | None -> x in +let exp_implicit rdb ~localise metasenv subst context with_type t = function - | `Closed -> NCicMetaSubst.mk_meta metasenv [] (foo `Term) - | `Type -> NCicMetaSubst.mk_meta metasenv context (foo `Type) - | `Term -> NCicMetaSubst.mk_meta metasenv context (foo `Term) + | `Closed -> + let metasenv,subst,expty = + match with_type with + None -> metasenv,subst,None + | Some typ -> + let (metasenv,subst),typ = + try + NCicMetaSubst.delift + ~unify:(fun m s c t1 t2 -> + try Some (NCicUnification.unify rdb m s c t1 t2) + with NCicUnification.UnificationFailure _ | NCicUnification.Uncertain _ -> None) + metasenv subst context 0 (0,NCic.Irl 0) typ + with + NCicMetaSubst.MetaSubstFailure _ + | NCicMetaSubst.Uncertain _ -> + raise (RefineFailure (lazy (localise t,"Trying to create a closed meta with a non closed type: " ^ NCicPp.ppterm ~metasenv ~subst ~context typ))) + + in + metasenv,subst,Some typ + in + NCicMetaSubst.mk_meta metasenv [] ?with_type:expty `IsTerm,subst + | `Type -> NCicMetaSubst.mk_meta metasenv context ?with_type `IsType,subst + | `Term -> NCicMetaSubst.mk_meta metasenv context ?with_type `IsTerm,subst + | `Tagged s -> + NCicMetaSubst.mk_meta + ~attrs:[`Name s] metasenv context ?with_type `IsTerm,subst + | `Vector -> + raise (RefineFailure (lazy (localise t, "A vector of implicit terms " ^ + "can only be used in argument position"))) | _ -> assert false ;; - -let check_allowed_sort_elimination hdb localise r orig = +let check_allowed_sort_elimination rdb localise r orig = let mkapp he arg = match he with | C.Appl l -> C.Appl (l @ [arg]) @@ -61,10 +106,10 @@ let check_allowed_sort_elimination hdb localise r orig = match arity1 with | C.Prod (name,so1,de1) (* , t ==?== C.Prod _ *) -> let metasenv, _, meta, _ = - NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `Type + NCicMetaSubst.mk_meta metasenv ((name,C.Decl so1)::context) `IsType in let metasenv, subst = - try NCicUnification.unify hdb metasenv subst context + try NCicUnification.unify rdb metasenv subst context arity2 (C.Prod (name, so1, meta)) with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf "expected %s, found %s" (* XXX localizzare meglio *) @@ -74,9 +119,9 @@ let check_allowed_sort_elimination hdb localise r orig = aux metasenv subst ((name, C.Decl so1)::context) (mkapp (NCicSubstitution.lift 1 ind) (C.Rel 1)) de1 meta | C.Sort _ (* , t ==?== C.Prod _ *) -> - let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `Type in + let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv [] `IsSort in let metasenv, subst = - try NCicUnification.unify hdb metasenv subst context + try NCicUnification.unify rdb metasenv subst context arity2 (C.Prod ("_", ind, meta)) with exc -> raise (wrap_exc (lazy (localise orig, Printf.sprintf "expected %s, found %s" (* XXX localizzare meglio *) @@ -89,44 +134,48 @@ let check_allowed_sort_elimination hdb localise r orig = with exc -> raise (wrap_exc (lazy (localise orig, "Sort elimination not allowed ")) exc)) | _ -> assert false - (*D*)in outside(); rc with exc -> outside (); raise exc + (*D*)in outside true; rc with exc -> outside false; raise exc in aux ;; -let rec typeof hdb +let rec typeof rdb ?(localise=fun _ -> Stdpp.dummy_loc) - ~look_for_coercion metasenv subst context term expty + metasenv subst context term expty = - let force_ty skip_lambda metasenv subst context orig t infty expty = + let force_ty skip_lambda skip_appl metasenv subst context orig t infty expty = (*D*)inside 'F'; try let rc = match expty with | Some expty -> (match t with | C.Implicit _ -> assert false | C.Lambda _ when skip_lambda -> metasenv, subst, t, expty + | C.Appl _ when skip_appl -> metasenv, subst, t, expty | _ -> - pp (lazy ( + pp (lazy ("forcing infty=expty: "^ (NCicPp.ppterm ~metasenv ~subst ~context infty) ^ " === " ^ (NCicPp.ppterm ~metasenv ~subst:[] ~context expty))); try let metasenv, subst = - NCicUnification.unify hdb metasenv subst context infty expty + (*D*)inside 'U'; try let rc = + NCicUnification.unify rdb metasenv subst context infty expty + (*D*)in outside true; rc with exc -> outside false; raise exc in metasenv, subst, t, expty - with exc -> - try_coercions hdb ~look_for_coercion ~localise + with + | NCicUnification.Uncertain _ + | NCicUnification.UnificationFailure _ as exc -> + try_coercions rdb ~localise metasenv subst context t orig infty expty true exc) | None -> metasenv, subst, t, infty - (*D*)in outside(); rc with exc -> outside (); raise exc + (*D*)in outside true; rc with exc -> outside false; raise exc in let rec typeof_aux metasenv subst context expty = fun t as orig -> (*D*)inside 'R'; try let rc = - pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t)); - pp (lazy (if expty = None then "NONE" else "SOME")); - if (List.exists (fun (i,_) -> i=29) subst) then - pp (lazy (NCicPp.ppsubst ~metasenv subst)); + pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::exp:: " ^ + match expty with None -> "None" | Some e -> + NCicPp.ppterm ~metasenv ~subst ~context e)); let metasenv, subst, t, infty = match t with | C.Rel n -> @@ -139,28 +188,26 @@ let rec typeof hdb raise (RefineFailure (lazy (localise t,"unbound variable")))) in metasenv, subst, t, infty - | C.Sort (C.Type [false,u]) -> metasenv,subst,t,(C.Sort (C.Type [true, u])) - | C.Sort (C.Type _) -> - raise (AssertFailure (lazy ("Cannot type an inferred type: "^ - NCicPp.ppterm ~subst ~metasenv ~context t))) - | C.Sort _ -> metasenv,subst,t,(C.Sort (C.Type NCicEnvironment.type0)) + | C.Sort s -> + (try metasenv, subst, t, C.Sort (NCicEnvironment.typeof_sort s) + with + | NCicEnvironment.UntypableSort msg -> + raise (RefineFailure (lazy (localise t, Lazy.force msg))) + | NCicEnvironment.AssertFailure msg -> raise (AssertFailure msg)) | C.Implicit infos -> - let metasenv,_,t,ty = exp_implicit metasenv context expty infos in - metasenv, subst, t, ty + let (metasenv,_,t,ty),subst = + exp_implicit rdb ~localise metasenv subst context expty t infos + in + if expty = None then + typeof_aux metasenv subst context None t + else + metasenv, subst, t, ty | C.Meta (n,l) as t -> - let ty = + let metasenv, ty = try - let _,_,_,ty = NCicUtils.lookup_subst n subst in ty - with NCicUtils.Subst_not_found _ -> try - let _,_,ty = NCicUtils.lookup_meta n metasenv in - match ty with C.Implicit _ -> - prerr_endline (string_of_int n); - prerr_endline (NCicPp.ppmetasenv ~subst metasenv); - prerr_endline (NCicPp.ppsubst ~metasenv subst); - assert false | _ -> ty - with NCicUtils.Meta_not_found _ -> - raise (AssertFailure (lazy (Printf.sprintf - "%s not found" (NCicPp.ppterm ~subst ~metasenv ~context t)))) + let _,_,_,ty = NCicUtils.lookup_subst n subst in metasenv, ty + with NCicUtils.Subst_not_found _ -> + NCicMetaSubst.extend_meta metasenv n in metasenv, subst, t, NCicSubstitution.subst_meta l ty | C.Const _ -> @@ -168,12 +215,12 @@ let rec typeof hdb | C.Prod (name,(s as orig_s),(t as orig_t)) -> let metasenv, subst, s, s1 = typeof_aux metasenv subst context None s in let metasenv, subst, s, s1 = - force_to_sort hdb ~look_for_coercion + force_to_sort rdb metasenv subst context s orig_s localise s1 in let context1 = (name,(C.Decl s))::context in let metasenv, subst, t, s2 = typeof_aux metasenv subst context1 None t in let metasenv, subst, t, s2 = - force_to_sort hdb ~look_for_coercion + force_to_sort rdb metasenv subst context1 t orig_t localise s2 in let metasenv, subst, s, t, ty = sort_of_prod localise metasenv subst @@ -189,56 +236,133 @@ let rec typeof hdb | C.Prod (_,s,t) -> Some s, Some t, false | _ -> None, None, true in - let metasenv, subst, s, ty_s = - typeof_aux metasenv subst context None s in - let metasenv, subst, s, _ = - force_to_sort hdb ~look_for_coercion - metasenv subst context s orig_s localise ty_s in - let (metasenv,subst), exp_ty_t = + let (metasenv,subst), s = match exp_s with - | Some exp_s -> - (try NCicUnification.unify hdb metasenv subst context s exp_s,exp_ty_t - with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf - "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv - ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context - exp_s))) exc)) - | None -> (metasenv, subst), None + | Some exp_s -> + (* optimized case: implicit and implicitly typed meta + * the optimization prevents proliferation of metas *) + (match s with + | C.Implicit _ -> (metasenv,subst),exp_s + | _ -> + let metasenv, subst, s = match s with + | C.Meta (n,_) + when (try (match NCicUtils.lookup_meta n metasenv with + | _,_,C.Implicit (`Typeof _) -> true + | _ -> false) + with + | _ -> false) -> metasenv, subst, s + | _ -> check_type rdb ~localise metasenv subst context s in + (try + pp(lazy("Force source to: "^NCicPp.ppterm ~metasenv ~subst + ~context exp_s)); + NCicUnification.unify ~test_eq_only:true rdb metasenv subst context s exp_s,s + with exc -> raise (wrap_exc (lazy (localise orig_s, Printf.sprintf + "Source type %s was expected to be %s" (NCicPp.ppterm ~metasenv + ~subst ~context s) (NCicPp.ppterm ~metasenv ~subst ~context + exp_s))) exc))) + | None -> + let metasenv, subst, s = + check_type rdb ~localise metasenv subst context s in + (metasenv, subst), s in let context_for_t = (n,C.Decl s) :: context in let metasenv, subst, t, ty_t = typeof_aux metasenv subst context_for_t exp_ty_t t in if force_after then - force_ty false metasenv subst context orig + force_ty false true metasenv subst context orig (C.Lambda(n,s,t)) (C.Prod (n,s,ty_t)) expty else metasenv, subst, C.Lambda(n,s,t), C.Prod (n,s,ty_t) - | C.LetIn (n,(ty as orig_ty),t,bo) -> - let metasenv, subst, ty, ty_ty = - typeof_aux metasenv subst context None ty in - let metasenv, subst, ty, _ = - force_to_sort hdb ~look_for_coercion - metasenv subst context ty orig_ty localise ty_ty in + | C.LetIn (n,ty,t,bo) -> + let metasenv, subst, ty = + check_type rdb ~localise metasenv subst context ty in let metasenv, subst, t, _ = typeof_aux metasenv subst context (Some ty) t in let context1 = (n, C.Def (t,ty)) :: context in + let metasenv, subst, expty1 = + match expty with + | None -> metasenv, subst, None + | Some x -> + let m, s, x = + NCicUnification.delift_type_wrt_terms + rdb metasenv subst context1 (NCicSubstitution.lift 1 x) + [NCicSubstitution.lift 1 t] + in + m, s, Some x + in let metasenv, subst, bo, bo_ty = - typeof_aux metasenv subst context1 None bo + typeof_aux metasenv subst context1 expty1 bo in let bo_ty = NCicSubstitution.subst ~avoid_beta_redexes:true t bo_ty in metasenv, subst, C.LetIn (n, ty, t, bo), bo_ty | C.Appl ((he as orig_he)::(_::_ as args)) -> - let upto = - match orig_he with C.Meta _ -> List.length args | _ -> 0 + let upto = match orig_he with C.Meta _ -> List.length args | _ -> 0 in + let hbr t = + if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t in - let metasenv, subst, he, ty_he = - typeof_aux metasenv subst context None he in - let metasenv, subst, t, ty = - eat_prods hdb ~localise ~look_for_coercion - metasenv subst context orig_he he ty_he args + let refine_appl metasenv subst args = + let metasenv, subst, he, ty_he = + typeof_aux metasenv subst context None he in + let metasenv, subst, t, ty = + eat_prods rdb ~localise force_ty metasenv subst context expty t + orig_he he ty_he args in + metasenv, subst, hbr t, ty in - let t = if upto > 0 then NCicReduction.head_beta_reduce ~upto t else t in - metasenv, subst, t, ty + if args = [C.Implicit `Vector] && expty <> None then + (* we try here to expand the vector a 0 implicits, but we use + * the expected type *) + try + let metasenv, subst, he, ty_he = + typeof_aux metasenv subst context expty he in + metasenv, subst, hbr he, ty_he + with Uncertain _ | RefineFailure _ -> refine_appl metasenv subst args + else + (* CSC: whd can be useful on he too... *) + (match he with + C.Const (Ref.Ref (uri1,Ref.Con _)) -> ( + match + HExtlib.map_option (NCicReduction.whd ~subst context) expty + with + Some (C.Appl(C.Const(Ref.Ref (uri2,Ref.Ind _) as ref)::expargs)) + when NUri.eq uri1 uri2 -> + (try + let _,leftno,_,_,_ = NCicEnvironment.get_checked_indtys ref in + let leftexpargs,_ = HExtlib.split_nth leftno expargs in + let rec instantiate metasenv subst revargs args = + function + [] -> + (* some checks are re-done here, but it would be complex + to avoid them (e.g. we did not check yet that the + constructor is a constructor for that inductive type)*) + refine_appl metasenv subst ((List.rev revargs)@args) + | (exparg::expargs) as allexpargs -> + match args with + [] -> raise (Failure "Not enough args") + | (C.Implicit `Vector::args) as allargs -> + (try + instantiate metasenv subst revargs args allexpargs + with + Sys.Break as exn -> raise exn + | _ -> + instantiate metasenv subst revargs + (C.Implicit `Term :: allargs) allexpargs) + | arg::args -> + let metasenv,subst,arg,_ = + typeof_aux metasenv subst context None arg in + let metasenv,subst = + NCicUnification.unify rdb metasenv subst context + arg exparg + in + instantiate metasenv subst(arg::revargs) args expargs + in + instantiate metasenv subst [] args leftexpargs + with + | Sys.Break as exn -> raise exn + | _ -> + refine_appl metasenv subst args (* to try coercions *)) + | _ -> refine_appl metasenv subst args) + | _ -> refine_appl metasenv subst args) | C.Appl _ -> raise (AssertFailure (lazy "Appl of length < 2")) | C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as r, outtype,(term as orig_term),pl) as orig -> @@ -263,6 +387,17 @@ let rec typeof hdb in let metasenv, subst, outtype, outsort = typeof_aux metasenv subst context None outtype in + + (* next lines are to do a subst-expansion of the outtype, so + that when it becomes a beta-abstraction, the beta-redex is + fired during substitution *) + let _,fresh_metanoouttype,newouttype,_ = + NCicMetaSubst.mk_meta metasenv context `IsTerm in + let subst = + (fresh_metanoouttype,([`Name "outtype"],context,outtype,outsort)) + ::subst in + let outtype = newouttype in + (* let's control if the sort elimination is allowed: [(I q1 ... qr)|B] *) let ind = if parameters = [] then C.Const r @@ -270,7 +405,7 @@ let rec typeof hdb let metasenv, subst, ind, ind_ty = typeof_aux metasenv subst context None ind in let metasenv, subst = - check_allowed_sort_elimination hdb localise r orig_term metasenv subst + check_allowed_sort_elimination rdb localise r orig_term metasenv subst context ind ind_ty outsort in (* let's check if the type of branches are right *) @@ -282,12 +417,12 @@ let rec typeof hdb match expty with | None -> metasenv, subst | Some expty -> - NCicUnification.unify hdb metasenv subst context resty expty + NCicUnification.unify rdb metasenv subst context resty expty in *) - let _, metasenv, subst, pl_rev = - List.fold_left - (fun (j, metasenv, subst, branches) p -> + let _, metasenv, subst, pl = + List.fold_right + (fun p (j, metasenv, subst, branches) -> let cons = let cons = Ref.mk_constructor j r in if parameters = [] then C.Const cons @@ -299,48 +434,67 @@ let rec typeof hdb NCicTypeChecker.type_of_branch ~subst context leftno outtype cons ty_cons in pp (lazy ("TYPEOFBRANCH: " ^ - NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::: " ^ + NCicPp.ppterm ~metasenv ~subst ~context p ^ " ::inf:: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty_branch )); let metasenv, subst, p, _ = typeof_aux metasenv subst context (Some ty_branch) p in - j+1, metasenv, subst, p :: branches) - (1, metasenv, subst, []) pl + j-1, metasenv, subst, p :: branches) + pl (List.length pl, metasenv, subst, []) in let resty = C.Appl (outtype::arguments@[term]) in let resty = NCicReduction.head_beta_reduce ~subst resty in - metasenv, subst, C.Match (r, outtype, term, List.rev pl_rev),resty + metasenv, subst, C.Match (r, outtype, term, pl),resty | C.Match _ -> assert false in - pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " :: "^ + pp (lazy (NCicPp.ppterm ~metasenv ~subst ~context t ^ " ::inf:: "^ NCicPp.ppterm ~metasenv ~subst ~context infty )); - force_ty true metasenv subst context orig t infty expty - (*D*)in outside(); rc with exc -> outside (); raise exc + force_ty true true metasenv subst context orig t infty expty + (*D*)in outside true; rc with exc -> outside false; raise exc in typeof_aux metasenv subst context expty term -and try_coercions hdb - ~localise ~look_for_coercion +and check_type rdb ~localise metasenv subst context (ty as orig_ty) = + let metasenv, subst, ty, sort = + typeof rdb ~localise metasenv subst context ty None + in + let metasenv, subst, ty, _ = + force_to_sort rdb metasenv subst context ty orig_ty localise sort + in + metasenv, subst, ty + +and try_coercions rdb + ~localise metasenv subst context t orig_t infty expty perform_unification exc = + let cs_subst = NCicSubstitution.subst ~avoid_beta_redexes:true in + try + pp (lazy "WWW: trying coercions -- preliminary unification"); + let metasenv, subst = + NCicUnification.unify rdb metasenv subst context infty expty + in metasenv, subst, t, expty + with + | exn -> (* we try with a coercion *) let rec first exc = function - | [] -> + | [] -> + pp (lazy "WWW: no more coercions!"); raise (wrap_exc (lazy (localise orig_t, Printf.sprintf - "The term %s has type %s but is here used with type %s" + "The term\n%s\nhas type\n%s\nbut is here used with type\n%s" (NCicPp.ppterm ~metasenv ~subst ~context t) (NCicPp.ppterm ~metasenv ~subst ~context infty) (NCicPp.ppterm ~metasenv ~subst ~context expty))) exc) - | (metasenv, newterm, newtype, meta)::tl -> + | (_,metasenv, newterm, newtype, meta)::tl -> try + pp (lazy("K=" ^ NCicPp.ppterm ~metasenv ~subst ~context newterm)); pp (lazy ( "UNIFICATION in CTX:\n"^ NCicPp.ppcontext ~metasenv ~subst context ^ "\nMENV: " ^ NCicPp.ppmetasenv metasenv ~subst ^ "\nOF: " ^ - NCicPp.ppterm ~metasenv ~subst ~context meta ^ " === " ^ - NCicPp.ppterm ~metasenv ~subst ~context t ^ "\n")); + NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^ + NCicPp.ppterm ~metasenv ~subst ~context meta ^ "\n")); let metasenv, subst = - NCicUnification.unify hdb metasenv subst context meta t + NCicUnification.unify rdb metasenv subst context t meta in pp (lazy ( "UNIFICATION in CTX:\n"^ NCicPp.ppcontext ~metasenv ~subst context @@ -351,40 +505,362 @@ and try_coercions hdb NCicPp.ppterm ~metasenv ~subst ~context expty ^ "\n")); let metasenv, subst = if perform_unification then - NCicUnification.unify hdb metasenv subst context newtype expty + NCicUnification.unify rdb metasenv subst context newtype expty else metasenv, subst in metasenv, subst, newterm, newtype with | NCicUnification.UnificationFailure _ -> first exc tl | NCicUnification.Uncertain _ as exc -> first exc tl - in + in + + try + pp (lazy "WWW: trying coercions -- inner check"); + match infty, expty, t with + | _,_, NCic.Match (Ref.Ref (_,Ref.Ind (_,tyno,leftno)) as r,outty,m,pl) -> + (*{{{*) pp (lazy "CASE"); + (* {{{ helper functions *) + let get_cl_and_left_p refit outty = + match refit with + | NReference.Ref (uri, NReference.Ind (_,tyno,leftno)) -> + let _, leftno, itl, _, _ = NCicEnvironment.get_checked_indtys r in + let _, _, ty, cl = List.nth itl tyno in + let constructorsno = List.length cl in + let count_pis t = + let rec aux ctx t = + match NCicReduction.whd ~subst ~delta:max_int ctx t with + | NCic.Prod (name,src,tgt) -> + let ctx = (name, (NCic.Decl src)) :: ctx in + 1 + aux ctx tgt + | _ -> 0 + in + aux [] t + in + let rec skip_lambda_delifting t n = + match t,n with + | _,0 -> t + | NCic.Lambda (_,_,t),n -> + pp (lazy ("WWW: failing term? "^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:[] t)); + skip_lambda_delifting + (* substitute dangling indices with a dummy *) + (NCicSubstitution.subst (NCic.Sort NCic.Prop) t) (n - 1) + | _ -> assert false + in + let get_l_r_p n = function + | NCic.Lambda (_,NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))),_) -> [],[] + | NCic.Lambda (_,NCic.Appl + (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))) :: args),_) -> + HExtlib.split_nth n args + | _ -> assert false + in + let pis = count_pis ty in + let rno = pis - leftno in + let t = skip_lambda_delifting outty rno in + let left_p, _ = get_l_r_p leftno t in + let instantiate_with_left cl = + List.map + (fun ty -> + List.fold_left + (fun t p -> match t with + | NCic.Prod (_,_,t) -> + cs_subst p t + | _-> assert false) + ty left_p) + cl + in + let cl = instantiate_with_left (List.map (fun (_,_,x) -> x) cl) in + cl, left_p, leftno, rno + | _ -> raise exn + in + let rec keep_lambdas_and_put_expty ctx t bo right_p matched n = + match t,n with + | _,0 -> + let rec mkr n = function + | [] -> [] | _::tl -> NCic.Rel n :: mkr (n+1) tl + in + pp (lazy ("input replace: " ^ NCicPp.ppterm ~context:ctx ~metasenv:[] ~subst:[] bo)); + let bo = + NCicRefineUtil.replace_lifting + ~equality:(fun _ -> NCicRefineUtil.alpha_equivalence) + ~context:ctx + ~what:(matched::right_p) + ~with_what:(NCic.Rel 1::List.rev (mkr 2 right_p)) + ~where:bo + in + pp (lazy ("output replace: " ^ NCicPp.ppterm ~context:ctx ~metasenv:[] ~subst:[] bo)); + bo + | NCic.Lambda (name, src, tgt),_ -> + NCic.Lambda (name, src, + keep_lambdas_and_put_expty + ((name, NCic.Decl src)::ctx) tgt (NCicSubstitution.lift 1 bo) + (List.map (NCicSubstitution.lift 1) right_p) (NCicSubstitution.lift 1 matched) (n-1)) + | _ -> assert false + in + (*let eq = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/equality/eq.ind(1,0,2)")) in + let eq_refl = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/equality/eq.con(0,1,2)")) in*) + let eq = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/jmeq/jmeq.ind(1,0,2)")) in + let eq_refl = NCic.Const (NReference.reference_of_string ("cic:/matita/ng/Plogic/jmeq/jmeq.con(0,1,2)")) in + let add_params + metasenv subst context cty outty mty m i + = + let rec aux context outty par j mty m = function + | NCic.Prod (name, src, tgt) -> + let t,k = + aux + ((name, NCic.Decl src) :: context) + (NCicSubstitution.lift 1 outty) (NCic.Rel j::par) (j+1) + (NCicSubstitution.lift 1 mty) (NCicSubstitution.lift 1 m) tgt + in + NCic.Prod (name, src, t), k + | NCic.Const (Ref.Ref (_,Ref.Ind (_,_,leftno)) as r) -> + let k = + let k = NCic.Const(Ref.mk_constructor i r) in + NCicUntrusted.mk_appl k par + in + (* the type has no parameters, so kty = mty + let kty = + try NCicTypechecker.typeof ~subst ~metasenv context k + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in *) + NCic.Prod ("p", + NCic.Appl [eq; mty; m; mty; k], + (NCicSubstitution.lift 1 + (NCicReduction.head_beta_reduce ~delta:max_int + (NCicUntrusted.mk_appl outty [k])))),[mty,m,mty,k] + | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,leftno)) as r)::pl) -> + let left_p,right_p = HExtlib.split_nth leftno pl in + let has_rights = right_p <> [] in + let k = + let k = NCic.Const(Ref.mk_constructor i r) in + NCicUntrusted.mk_appl k (left_p@par) + in + let right_p = + try match + NCicTypeChecker.typeof ~subst ~metasenv context k + with + | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))::args) -> + snd (HExtlib.split_nth leftno args) + | _ -> assert false + with NCicTypeChecker.TypeCheckerFailure _-> assert false + in + let orig_right_p = + match mty with + | NCic.Appl (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))::args) -> + snd (HExtlib.split_nth leftno args) + | _ -> assert false + in + List.fold_right2 + (fun x y (tacc,pacc) -> + let xty = + try NCicTypeChecker.typeof ~subst ~metasenv context x + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + let yty = + try NCicTypeChecker.typeof ~subst ~metasenv context y + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + NCic.Prod ("_", NCic.Appl [eq;xty;x;yty;y], + NCicSubstitution.lift 1 tacc), (xty,x,yty,y)::pacc) + (orig_right_p @ [m]) (right_p @ [k]) + (NCicReduction.head_beta_reduce ~delta:max_int + (NCicUntrusted.mk_appl outty (right_p@[k])), []) + + (* if has_rights then + NCicReduction.head_beta_reduce ~delta:max_int + (NCic.Appl (outty ::right_p @ [k])),k + else + NCic.Prod ("p", + NCic.Appl [eq; mty; m; k], + (NCicSubstitution.lift 1 + (NCicReduction.head_beta_reduce ~delta:max_int + (NCic.Appl (outty ::right_p @ [k]))))),k*) + | _ -> assert false + in + aux context outty [] 1 mty m cty + in + let add_lambda_for_refl_m pbo eqs cty = + (* k lives in the right context *) + (* if rno <> 0 then pbo else *) + let rec aux = function + | NCic.Lambda (name,src,bo), NCic.Prod (_,_,ty) -> + NCic.Lambda (name,src, + (aux (bo,ty))) + | t,_ -> snd (List.fold_right + (fun (xty,x,yty,y) (n,acc) -> n+1, NCic.Lambda ("p" ^ string_of_int n, + NCic.Appl [eq; xty; x; yty; y], + NCicSubstitution.lift 1 acc)) eqs (1,t)) + (*NCic.Lambda ("p", + NCic.Appl [eq; mty; m; k],NCicSubstitution.lift 1 t)*) + in + aux (pbo,cty) + in + let add_pi_for_refl_m context new_outty mty m lno rno = + (*if rno <> 0 then new_outty else*) + let rec aux context mty m = function + | NCic.Lambda (name, src, tgt) -> + let context = (name, NCic.Decl src)::context in + NCic.Lambda (name, src, aux context (NCicSubstitution.lift 1 mty) (NCicSubstitution.lift 1 m) tgt) + | t -> + let lhs = + match mty with + | NCic.Appl (_::params) -> (snd (HExtlib.split_nth lno params))@[m] + | _ -> [m] + in + let rhs = + List.map (fun x -> NCic.Rel x) + (List.rev (HExtlib.list_seq 1 (rno+2))) in + List.fold_right2 + (fun x y acc -> + let xty = + try NCicTypeChecker.typeof ~subst ~metasenv context x + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + let yty = + try NCicTypeChecker.typeof ~subst ~metasenv context y + with NCicTypeChecker.TypeCheckerFailure _ -> assert false + in + NCic.Prod + ("_", NCic.Appl [eq;xty;x;yty;y], + (NCicSubstitution.lift 1 acc))) + lhs rhs t + (* NCic.Prod + ("_", NCic.Appl [eq;mty;m;NCic.Rel 1], + NCicSubstitution.lift 1 t)*) + in + aux context mty m new_outty + in (* }}} end helper functions *) + (* constructors types with left params already instantiated *) + let outty = NCicUntrusted.apply_subst subst context outty in + let cl, left_p, leftno,rno = + get_cl_and_left_p r outty + in + let right_p, mty = + try + match + NCicTypeChecker.typeof ~subst ~metasenv context m + with + | (NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_))) | NCic.Meta _) as mty -> [], mty + | NCic.Appl ((NCic.Const (Ref.Ref (_,Ref.Ind (_,_,_)))|NCic.Meta _)::args) as mty -> + snd (HExtlib.split_nth leftno args), mty + | _ -> assert false + with NCicTypeChecker.TypeCheckerFailure _ -> + raise (AssertFailure(lazy "already ill-typed matched term")) + in + let mty = NCicUntrusted.apply_subst subst context mty in + let outty = NCicUntrusted.apply_subst subst context outty in + let expty = NCicUntrusted.apply_subst subst context expty in + let new_outty = + keep_lambdas_and_put_expty context outty expty right_p m (rno+1) + in + pp + (lazy ("CASE: new_outty: " ^ NCicPp.ppterm + ~context ~metasenv ~subst new_outty)); + let _,pl,subst,metasenv = + List.fold_right2 + (fun cty pbo (i, acc, s, menv) -> + pp (lazy ("begin iteration")); + (* Pi k_par, (Pi H:m=(K_i left_par k_par)), + * (new_)outty right_par (K_i left_par k_par) *) + let infty_pbo, _ = + add_params menv s context cty outty mty m i in + pp + (lazy ("CASE: infty_pbo: "^ NCicPp.ppterm + ~context ~metasenv ~subst infty_pbo)); + let expty_pbo, eqs = (* k is (K_i left_par k_par) *) + add_params menv s context cty new_outty mty m i in + pp + (lazy ("CASE: expty_pbo: "^ NCicPp.ppterm + ~context ~metasenv ~subst expty_pbo)); + let pbo = add_lambda_for_refl_m pbo eqs cty in + pp + (lazy ("CASE: pbo: " ^ NCicPp.ppterm + ~context ~metasenv ~subst pbo)); + let metasenv, subst, pbo, _ = + try_coercions rdb ~localise menv s context pbo + orig_t (*??*) infty_pbo expty_pbo perform_unification exc + in + pp + (lazy ("CASE: pbo2: " ^ NCicPp.ppterm + ~context ~metasenv ~subst pbo)); + (i-1, pbo::acc, subst, metasenv)) + cl pl (List.length pl, [], subst, metasenv) + in + (*let metasenv, subst = + try + NCicUnification.unify rdb metasenv subst context outty new_outty + with _ -> raise (RefineFailure (lazy (localise orig_t, "try_coercions"))) + in*) + let new_outty = add_pi_for_refl_m context new_outty mty m leftno rno in + pp (lazy ("CASE: new_outty: " ^ (NCicPp.ppterm + ~metasenv ~subst ~context new_outty))); + let right_tys = + List.map + (fun t -> NCicTypeChecker.typeof ~subst ~metasenv context t) right_p in + let eqs = + List.map2 (fun x y -> NCic.Appl[eq_refl;x;y]) (right_tys@[mty]) + (right_p@[m]) in + let t = NCic.Appl (NCic.Match(r,new_outty,m,pl) :: eqs) + in + metasenv, subst, t, expty (*}}}*) + | NCic.Prod (nameprod, src, ty),NCic.Prod (_, src2, ty2), _ -> + let rec mk_fresh_name ctx firstch n = + let candidate = (String.make 1 firstch) ^ (string_of_int n) in + if (List.for_all (fun (s,_) -> s <> candidate) ctx) then candidate + else mk_fresh_name ctx firstch (n+1) + in + (*{{{*) pp (lazy "LAM"); + pp (lazy ("LAM: t = " ^ NCicPp.ppterm ~metasenv ~subst ~context t)); + let name_con = mk_fresh_name context 'c' 0 + (*FreshNamesGenerator.mk_fresh_name + ~subst metasenv context ~typ:src2 Cic.Anonymous*) + in + let context_src2 = ((name_con, NCic.Decl src2) :: context) in + (* contravariant part: the argument of f:src->ty *) + let metasenv, subst, rel1, _ = + try_coercions rdb ~localise metasenv subst context_src2 + (NCic.Rel 1) orig_t (NCicSubstitution.lift 1 src2) + (NCicSubstitution.lift 1 src) perform_unification exc + in + (* covariant part: the result of f(c x); x:src2; (c x):src *) + let name_t, bo = + match t with + | NCic.Lambda (n,_,bo) -> n, cs_subst rel1 (NCicSubstitution.lift_from 2 1 bo) + | _ -> name_con, NCicUntrusted.mk_appl (NCicSubstitution.lift 1 t) [rel1] + in + (* we fix the possible dependency problem in the source ty *) + let ty = cs_subst rel1 (NCicSubstitution.lift_from 2 1 ty) in + let metasenv, subst, bo, _ = + try_coercions rdb ~localise metasenv subst context_src2 + bo orig_t ty ty2 perform_unification exc + in + let coerced = NCic.Lambda (name_t,src2, bo) in + pp (lazy ("LAM: coerced = " ^ NCicPp.ppterm ~metasenv ~subst ~context coerced)); + metasenv, subst, coerced, expty (*}}}*) + | _ -> raise exc + with exc2 -> + pp(lazy("try_coercion " ^ + NCicPp.ppterm ~metasenv ~subst ~context infty ^ " |---> " ^ + NCicPp.ppterm ~metasenv ~subst ~context expty)); first exc - (look_for_coercion metasenv subst context infty expty) + (NCicCoercion.look_for_coercion + rdb metasenv subst context infty expty) -and force_to_sort hdb - ~look_for_coercion metasenv subst context t orig_t localise ty -= - match NCicReduction.whd ~subst context ty with - | C.Meta (_,(0,(C.Irl 0 | C.Ctx []))) as ty -> - metasenv, subst, t, ty - | C.Meta (i,(_,(C.Irl 0 | C.Ctx []))) -> - metasenv, subst, t, C.Meta(i,(0,C.Irl 0)) - | C.Meta (i,(_,lc)) -> - let len = match lc with C.Irl len->len | C.Ctx l->List.length l in - let metasenv, subst, newmeta = - if len > 0 then - NCicMetaSubst.restrict metasenv subst i (HExtlib.list_seq 1 (len+1)) - else metasenv, subst, i - in - metasenv, subst, t, C.Meta (newmeta,(0,C.Irl 0)) - | C.Sort _ as ty -> metasenv, subst, t, ty - | ty -> - try_coercions hdb ~localise ~look_for_coercion metasenv subst context - t orig_t ty (NCic.Sort (NCic.Type NCicEnvironment.type0)) false - (Uncertain (lazy (localise orig_t, - "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t - ^ " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty))) +and force_to_sort rdb metasenv subst context t orig_t localise ty = + try + let metasenv, subst, ty = + NCicUnification.sortfy (Failure "sortfy") metasenv subst context ty in + metasenv, subst, t, ty + with + Failure _ -> + let ty = NCicReduction.whd ~subst context ty in + try_coercions rdb ~localise metasenv subst context + t orig_t ty (NCic.Sort (NCic.Type + (match NCicEnvironment.get_universes () with + | x::_ -> x + | _ -> assert false))) false + (Uncertain (lazy (localise orig_t, + "The type of " ^ NCicPp.ppterm ~metasenv ~subst ~context t ^ + " is not a sort: " ^ NCicPp.ppterm ~metasenv ~subst ~context ty))) and sort_of_prod localise metasenv subst context orig_s orig_t (name,s) t (t1, t2) @@ -408,48 +884,94 @@ and sort_of_prod (NCicPp.ppterm ~subst ~metasenv ~context y) (NCicPp.ppterm ~subst ~metasenv ~context x)))) -and eat_prods hdb - ~localise ~look_for_coercion metasenv subst context orig_he he ty_he args -= +and guess_name subst ctx ty = + let aux initial = "#" ^ String.make 1 initial in + match ty with + | C.Const (NReference.Ref (u,_)) + | C.Appl (C.Const (NReference.Ref (u,_)) :: _) -> + aux (String.sub (NUri.name_of_uri u) 0 1).[0] + | C.Prod _ -> aux 'f' + | C.Meta (n,lc) -> + (try + let _,_,t,_ = NCicUtils.lookup_subst n subst in + guess_name subst ctx (NCicSubstitution.subst_meta lc t) + with NCicUtils.Subst_not_found _ -> aux 'M') + | _ -> aux 'H' + +and eat_prods rdb ~localise force_ty metasenv subst context expty orig_t orig_he he ty_he args = (*D*)inside 'E'; try let rc = - let rec aux metasenv subst args_so_far he ty_he = function - | []->metasenv, subst, NCicUntrusted.mk_appl he (List.rev args_so_far), ty_he + let rec aux metasenv subst args_so_far he ty_he xxx = + (*D*)inside 'V'; try let rc = + match xxx with + | [] -> + let res = NCicUntrusted.mk_appl he (List.rev args_so_far) in + pp(lazy("FORCE FINAL APPL: " ^ + NCicPp.ppterm ~metasenv ~subst ~context res ^ + " of type " ^ NCicPp.ppterm ~metasenv ~subst ~context ty_he + ^ " to type " ^ match expty with None -> "None" | Some x -> + NCicPp.ppterm ~metasenv ~subst ~context x)); + (* whatever the term is, we force the type. in case of ((Lambda..) ?...) + * the application may also be a lambda! *) + force_ty false false metasenv subst context orig_t res ty_he expty + | NCic.Implicit `Vector::tl -> + let has_some_more_pis x = + match NCicReduction.whd ~subst context x with + | NCic.Meta _ | NCic.Appl (NCic.Meta _::_) -> false + | _ -> true + in + (try + aux metasenv subst args_so_far he ty_he tl + with + | Uncertain _ + | RefineFailure _ as exc when has_some_more_pis ty_he -> + (try + aux metasenv subst args_so_far he ty_he + (NCic.Implicit `Term :: NCic.Implicit `Vector :: tl) + with + Uncertain msg | RefineFailure msg -> raise (wrap_exc msg exc)) + | RefineFailure msg when not (has_some_more_pis ty_he) -> + (* instantiating the head could change the has_some_more_pis flag *) + raise (Uncertain msg)) | arg::tl -> match NCicReduction.whd ~subst context ty_he with | C.Prod (_,s,t) -> let metasenv, subst, arg, _ = - typeof hdb ~look_for_coercion ~localise - metasenv subst context arg (Some s) in + typeof rdb ~localise metasenv subst context arg (Some s) in let t = NCicSubstitution.subst ~avoid_beta_redexes:true arg t in aux metasenv subst (arg :: args_so_far) he t tl | C.Meta _ | C.Appl (C.Meta _ :: _) as t -> let metasenv, subst, arg, ty_arg = - typeof hdb ~look_for_coercion ~localise - metasenv subst context arg None in + typeof rdb ~localise metasenv subst context arg None in + let name = guess_name subst context ty_arg in let metasenv, _, meta, _ = NCicMetaSubst.mk_meta metasenv - (("_",C.Decl ty_arg) :: context) `Type + ((name,C.Decl ty_arg) :: context) `IsType in - let flex_prod = C.Prod ("_", ty_arg, meta) in + let flex_prod = C.Prod (name, ty_arg, meta) in (* next line grants that ty_args is a type *) let metasenv,subst, flex_prod, _ = - typeof hdb ~look_for_coercion ~localise metasenv subst - context flex_prod None in + typeof rdb ~localise metasenv subst context flex_prod None in +(* pp (lazy ( "UNIFICATION in CTX:\n"^ NCicPp.ppcontext ~metasenv ~subst context ^ "\nOF: " ^ NCicPp.ppterm ~metasenv ~subst ~context t ^ " === " ^ NCicPp.ppterm ~metasenv ~subst ~context flex_prod ^ "\n")); - let metasenv, subst = - try NCicUnification.unify hdb metasenv subst context t flex_prod +*) + let metasenv, subst = + try NCicUnification.unify rdb metasenv subst context t flex_prod with exc -> raise (wrap_exc (lazy (localise orig_he, Printf.sprintf ("The term %s has an inferred type %s, but is applied to the" ^^ " argument %s of type %s") (NCicPp.ppterm ~metasenv ~subst ~context he) (NCicPp.ppterm ~metasenv ~subst ~context t) (NCicPp.ppterm ~metasenv ~subst ~context arg) - (NCicPp.ppterm ~metasenv ~subst ~context ty_arg))) exc) + (NCicPp.ppterm ~metasenv ~subst ~context ty_arg))) + (match exc with + | NCicUnification.UnificationFailure m -> + NCicUnification.Uncertain m + | x -> x)) (* XXX coerce to funclass *) in let meta = NCicSubstitution.subst ~avoid_beta_redexes:true arg meta in @@ -463,7 +985,7 @@ and eat_prods hdb (List.length args) (List.length args_so_far)))) | ty -> let metasenv, subst, newhead, newheadty = - try_coercions hdb ~localise ~look_for_coercion metasenv subst context + try_coercions rdb ~localise metasenv subst context (NCicUntrusted.mk_appl he (List.rev args_so_far)) orig_he ty (NCic.Prod ("_",NCic.Implicit `Term,NCic.Implicit `Term)) false @@ -472,10 +994,19 @@ and eat_prods hdb "only %d arguments") (NCicPp.ppterm ~metasenv ~subst ~context he) (List.length args) (List.length args_so_far)))) in - aux metasenv subst [] newhead newheadty (arg :: tl) + aux metasenv subst [] newhead newheadty (arg :: tl) + (*D*)in outside true; rc with exc -> outside false; raise exc in - aux metasenv subst [] he ty_he args - (*D*)in outside(); rc with exc -> outside (); raise exc + (* We need to reverse the order of the new created metas since they + are pushed on top of the metasenv in the wrong order *) + let highest_meta = NCicMetaSubst.maxmeta () in + let metasenv, subst, newhead, newheadty = + aux metasenv subst [] he ty_he args in + let metasenv_old,metasenv_new = + List.partition (fun (i,_) -> i <= highest_meta) metasenv + in + (List.rev metasenv_new) @ metasenv_old, subst, newhead, newheadty + (*D*)in outside true; rc with exc -> outside false; raise exc ;; let rec first f l1 l2 = @@ -507,9 +1038,11 @@ let relocalise old_localise dt t add = ;; let undebruijnate inductive ref t rev_fl = + let len = List.length rev_fl in NCicSubstitution.psubst (fun x -> x) - (HExtlib.list_mapi + (HExtlib.list_mapi (fun (_,_,rno,_,_,_) i -> + let i = len - i - 1 in NCic.Const (if inductive then NReference.mk_fix i rno ref else NReference.mk_cofix i ref)) @@ -518,30 +1051,18 @@ let undebruijnate inductive ref t rev_fl = ;; -let typeof_obj hdb - ?(localise=fun _ -> Stdpp.dummy_loc) - ~look_for_coercion (uri,height,metasenv,subst, obj) +let typeof_obj + rdb ?(localise=fun _ -> Stdpp.dummy_loc) (uri,height,metasenv,subst,obj) = - let check_type metasenv subst (ty as orig_ty) = (* XXX fattorizza *) - let metasenv, subst, ty, sort = - typeof hdb ~localise ~look_for_coercion metasenv subst [] ty None - in - let metasenv, subst, ty, _ = - force_to_sort hdb ~look_for_coercion - metasenv subst [] ty orig_ty localise sort - in - metasenv, subst, ty - in match obj with - | C.Constant (relevance, name, bo, ty , attr) -> - let metasenv, subst, ty = check_type metasenv subst ty in + | C.Constant (relevance, name, bo, ty, attr) -> + let metasenv, subst, ty = + check_type rdb ~localise metasenv subst [] ty in let metasenv, subst, bo, ty, height = match bo with | Some bo -> let metasenv, subst, bo, ty = - typeof hdb ~localise ~look_for_coercion - metasenv subst [] bo (Some ty) - in + typeof rdb ~localise metasenv subst [] bo (Some ty) in let height = (* XXX recalculate *) height in metasenv, subst, Some bo, ty, height | None -> metasenv, subst, None, ty, 0 @@ -553,8 +1074,9 @@ let typeof_obj hdb let types, metasenv, subst, rev_fl = List.fold_left (fun (types, metasenv, subst, fl) (relevance,name,k,ty,bo) -> - let metasenv, subst, ty = check_type metasenv subst ty in - let dbo = NCicTypeChecker.debruijn uri len [] bo in + let metasenv, subst, ty = + check_type rdb ~localise metasenv subst [] ty in + let dbo = NCicTypeChecker.debruijn uri len [] ~subst bo in let localise = relocalise localise dbo bo in (name,C.Decl ty)::types, metasenv, subst, (relevance,name,k,ty,dbo,localise)::fl @@ -564,8 +1086,7 @@ let typeof_obj hdb List.fold_left (fun (metasenv,subst,fl) (relevance,name,k,ty,dbo,localise) -> let metasenv, subst, dbo, ty = - typeof hdb ~localise ~look_for_coercion - metasenv subst types dbo (Some ty) + typeof rdb ~localise metasenv subst types dbo (Some ty) in metasenv, subst, (relevance,name,k,ty,dbo)::fl) (metasenv, subst, []) rev_fl @@ -585,85 +1106,157 @@ let typeof_obj hdb in uri, height, metasenv, subst, C.Fixpoint (inductive, fl, attr) - - | C.Inductive (_ind, _leftno, _itl, _attr) -> assert false -(* - (* let's check if the arity of the inductive types are well formed *) - List.iter (fun (_,_,x,_) -> ignore (typeof ~subst ~metasenv [] x)) tyl; - (* let's check if the types of the inductive constructors are well formed. *) - let len = List.length tyl in - let tys = List.rev_map (fun (_,n,ty,_) -> (n,(C.Decl ty))) tyl in - ignore - (List.fold_right - (fun (it_relev,_,ty,cl) i -> - let context,ty_sort = split_prods ~subst [] ~-1 ty in - let sx_context_ty_rev,_ = HExtlib.split_nth leftno (List.rev context) in - List.iter - (fun (k_relev,_,te) -> - let _,k_relev = HExtlib.split_nth leftno k_relev in - let te = debruijn uri len [] te in - let context,te = split_prods ~subst tys leftno te in - let _,chopped_context_rev = - HExtlib.split_nth (List.length tys) (List.rev context) in - let sx_context_te_rev,_ = - HExtlib.split_nth leftno chopped_context_rev in - (try - ignore (List.fold_left2 - (fun context item1 item2 -> - let convertible = - match item1,item2 with - (n1,C.Decl ty1),(n2,C.Decl ty2) -> - n1 = n2 && - R.are_convertible ~metasenv ~subst context ty1 ty2 - | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) -> - n1 = n2 - && R.are_convertible ~metasenv ~subst context ty1 ty2 - && R.are_convertible ~metasenv ~subst context bo1 bo2 - | _,_ -> false + | C.Inductive (ind, leftno, itl, attr) -> + let len = List.length itl in + let metasenv,subst,rev_itl,tys = + List.fold_left + (fun (metasenv,subst,res,ctx) (relevance,n,ty,cl) -> + let metasenv, subst, ty = + check_type rdb ~localise metasenv subst [] ty in + metasenv,subst,(relevance,n,ty,cl)::res,(n,NCic.Decl ty)::ctx + ) (metasenv,subst,[],[]) itl in + let metasenv,subst,itl,_ = + List.fold_left + (fun (metasenv,subst,res,i) (it_relev,n,ty,cl) -> + let context,ty_sort = NCicReduction.split_prods ~subst [] ~-1 ty in + let sx_context_ty_rev,_= HExtlib.split_nth leftno (List.rev context) in + let metasenv,subst,cl = + List.fold_right + (fun (k_relev,n,te) (metasenv,subst,res) -> + let k_relev = + try snd (HExtlib.split_nth leftno k_relev) + with Failure _ -> k_relev in + let te = NCicTypeChecker.debruijn uri len [] ~subst te in + let metasenv, subst, te = + check_type rdb ~localise metasenv subst tys te in + let context,te = NCicReduction.split_prods ~subst tys leftno te in + let _,chopped_context_rev = + HExtlib.split_nth (List.length tys) (List.rev context) in + let sx_context_te_rev,_ = + HExtlib.split_nth leftno chopped_context_rev in + let metasenv,subst,_ = + try + List.fold_left2 + (fun (metasenv,subst,context) item1 item2 -> + let (metasenv,subst),convertible = + try + match item1,item2 with + (n1,C.Decl ty1),(n2,C.Decl ty2) -> + if n1 = n2 then + NCicUnification.unify rdb ~test_eq_only:true metasenv + subst context ty1 ty2,true + else + (metasenv,subst),false + | (n1,C.Def (bo1,ty1)),(n2,C.Def (bo2,ty2)) -> + if n1 = n2 then + let metasenv,subst = + NCicUnification.unify rdb ~test_eq_only:true metasenv + subst context ty1 ty2 + in + NCicUnification.unify rdb ~test_eq_only:true metasenv + subst context bo1 bo2,true + else + (metasenv,subst),false + | _,_ -> (metasenv,subst),false + with + | NCicUnification.Uncertain _ + | NCicUnification.UnificationFailure _ -> + (metasenv,subst),false + in + let term2 = + match item2 with + _,C.Decl t -> t + | _,C.Def (b,_) -> b in + if not convertible then + raise (RefineFailure (lazy (localise term2, + ("Mismatch between the left parameters of the constructor " ^ + "and those of its inductive type")))) + else + metasenv,subst,item1::context + ) (metasenv,subst,tys) sx_context_ty_rev sx_context_te_rev + with Invalid_argument "List.fold_left2" -> assert false in + let metasenv, subst = + let rec aux context (metasenv,subst) = function + | NCic.Meta _ -> metasenv, subst + | NCic.Implicit _ -> metasenv, subst + | NCic.Appl (NCic.Rel i :: args) as t + when i > List.length context - len -> + let lefts, _ = HExtlib.split_nth leftno args in + let ctxlen = List.length context in + let (metasenv, subst), _ = + List.fold_left + (fun ((metasenv, subst),l) arg -> + NCicUnification.unify rdb + ~test_eq_only:true metasenv subst context arg + (NCic.Rel (ctxlen - len - l)), l+1 + ) + ((metasenv, subst), 0) lefts + in + metasenv, subst + | t -> NCicUtils.fold (fun e c -> e::c) context aux + (metasenv,subst) t in - if not convertible then - raise (TypeCheckerFailure (lazy - ("Mismatch between the left parameters of the constructor " ^ - "and those of its inductive type"))) - else - item1::context - ) [] sx_context_ty_rev sx_context_te_rev) - with Invalid_argument "List.fold_left2" -> assert false); - let con_sort = typeof ~subst ~metasenv context te in - (match R.whd ~subst context con_sort, R.whd ~subst [] ty_sort with - (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) -> - if not (E.universe_leq u1 u2) then - raise - (TypeCheckerFailure - (lazy ("The type " ^ PP.ppterm ~metasenv ~subst ~context s1^ - " of the constructor is not included in the inductive" ^ - " type sort " ^ PP.ppterm ~metasenv ~subst ~context s2))) - | C.Sort _, C.Sort C.Prop - | C.Sort _, C.Sort C.Type _ -> () - | _, _ -> + aux context (metasenv,subst) te + in + let con_sort= NCicTypeChecker.typeof ~subst ~metasenv context te in + (match + NCicReduction.whd ~subst context con_sort, + NCicReduction.whd ~subst [] ty_sort + with + (C.Sort (C.Type u1) as s1), (C.Sort (C.Type u2) as s2) -> + if not (NCicEnvironment.universe_leq u1 u2) then + raise + (RefineFailure + (lazy(localise te, "The type " ^ + NCicPp.ppterm ~metasenv ~subst ~context s1 ^ + " of the constructor is not included in the inductive"^ + " type sort " ^ + NCicPp.ppterm ~metasenv ~subst ~context s2))) + | C.Sort _, C.Sort C.Prop + | C.Sort _, C.Sort C.Type _ -> () + | _, _ -> + raise + (RefineFailure + (lazy (localise te, + "Wrong constructor or inductive arity shape")))); + (* let's check also the positivity conditions *) + if + not + (NCicTypeChecker.are_all_occurrences_positive + ~subst context uri leftno (i+leftno) leftno (len+leftno) te) + then raise - (TypeCheckerFailure - (lazy ("Wrong constructor or inductive arity shape")))); - (* let's check also the positivity conditions *) - if - not - (are_all_occurrences_positive ~subst context uri leftno - (i+leftno) leftno (len+leftno) te) - then - raise - (TypeCheckerFailure - (lazy ("Non positive occurence in "^NUri.string_of_uri - uri))) - else check_relevance ~subst ~metasenv context k_relev te) - cl; - check_relevance ~subst ~metasenv [] it_relev ty; - i+1) - tyl 1) -*) - - + (RefineFailure + (lazy (localise te, + "Non positive occurence in " ^ + NCicPp.ppterm ~metasenv ~subst ~context te))) + else + let relsno = List.length itl + leftno in + let te = + NCicSubstitution.psubst + (fun i -> + if i <= leftno then + NCic.Rel i + else + NCic.Const (NReference.reference_of_spec uri + (NReference.Ind (ind,relsno - i,leftno)))) + (HExtlib.list_seq 1 (relsno+1)) + te in + let te = + List.fold_right + (fun (name,decl) te -> + match decl with + NCic.Decl ty -> NCic.Prod (name,ty,te) + | NCic.Def (bo,ty) -> NCic.LetIn (name,ty,bo,te) + ) sx_context_te_rev te + in + metasenv,subst,(k_relev,n,te)::res + ) cl (metasenv,subst,[]) + in + metasenv,subst,(it_relev,n,ty,cl)::res,i+1 + ) (metasenv,subst,[],1) rev_itl + in + uri, height, metasenv, subst, C.Inductive (ind, leftno, itl, attr) ;; - - (* vim:set foldmethod=marker: *)