exception Uncertain of string Lazy.t;;
exception AssertFailure of string Lazy.t;;
+(* for internal use only; the integer is the number of surplus arguments *)
+exception MoreArgsThanExpected of int * exn;;
+
let insert_coercions = ref true
let pack_coercions = ref true
-let debug_print = fun _ -> ();;
-(*let debug_print x = prerr_endline (Lazy.force x);;*)
+let debug = false;;
+
+let debug_print =
+ if debug then (fun x -> prerr_endline (Lazy.force x)) else (fun _ -> ());;
let profiler_eat_prods2 = HExtlib.profile "CicRefine.fo_unif_eat_prods2"
match exn with
RefineFailure msg -> RefineFailure (f msg)
| Uncertain msg -> Uncertain (f msg)
- | _ -> assert false in
+ | AssertFailure msg -> prerr_endline (Lazy.force msg); AssertFailure (f msg)
+ | Sys.Break -> raise exn
+ | _ -> prerr_endline (Printexc.to_string exn); assert false
+ in
let loc =
try
Cic.CicHash.find localization_tbl t
let imp = Cic.Implicit None in
let dummyres = false,imp, imp,imp,imp in
match t with
- | Cic.Appl (c1::tl) when CoercGraph.is_a_coercion c1 ->
+ | Cic.Appl (c1::tl) when CoercDb.is_a_coercion' c1 ->
(match last_of tl with
- | sib1,Cic.Appl (c2::tl2) when CoercGraph.is_a_coercion c2 ->
+ | sib1,Cic.Appl (c2::tl2) when CoercDb.is_a_coercion' c2 ->
let sib2,head = last_of tl2 in
true, c1, c2, head,Cic.Appl (c1::sib1@[Cic.Appl
- (c2::sib2@[Cic.Implicit None])])
+ (c2::sib2@[imp])])
| _ -> dummyres)
| _ -> dummyres
-let more_args_than_expected
- localization_tbl subst he context hetype' tlbody_and_type exn
+let more_args_than_expected localization_tbl metasenv subst he context hetype' residuals tlbody_and_type exn
=
+ let len = List.length tlbody_and_type in
let msg =
lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst he context ^
- " (that has type "^CicMetaSubst.ppterm_in_context subst hetype' context ^
- ") is here applied to " ^ string_of_int (List.length tlbody_and_type) ^
- " arguments that are more than expected")
+ CicMetaSubst.ppterm_in_context ~metasenv subst he context ^
+ " (that has type "^ CicMetaSubst.ppterm_in_context ~metasenv subst hetype' context ^
+ ") is here applied to " ^ string_of_int len ^
+ " arguments but here it can handle only up to " ^
+ string_of_int (len - residuals) ^ " arguments")
in
enrich localization_tbl he ~f:(fun _-> msg) exn
;;
ugraph
=
let rec type_of_aux subst metasenv context t ugraph =
- let try_coercion t subst metasenv context ugraph coercion_tgt c =
- let coerced = Cic.Appl[c;t] in
- try
- let newt,_,subst,metasenv,ugraph =
- type_of_aux subst metasenv context coerced ugraph
- in
- let newt, tty, subst, metasenv, ugraph =
- avoid_double_coercion context subst metasenv ugraph newt coercion_tgt
- in
- Some (newt, tty, subst, metasenv, ugraph)
- with
- | RefineFailure _ | Uncertain _ -> None
- in
let module C = Cic in
let module S = CicSubstitution in
let module U = UriManager in
enrich localization_tbl t
(RefineFailure (lazy "Rel to hidden hypothesis"))
with
- _ ->
+ Failure _ ->
enrich localization_tbl t
- (RefineFailure (lazy "Not a close term")))
+ (RefineFailure (lazy "Not a closed term")))
| C.Var (uri,exp_named_subst) ->
let exp_named_subst',subst',metasenv',ugraph1 =
check_exp_named_subst
subst', metasenv',ugraph1)
| C.Sort (C.Type tno) ->
let tno' = CicUniv.fresh() in
- let ugraph1 = CicUniv.add_gt tno' tno ugraph in
- t,(C.Sort (C.Type tno')),subst,metasenv,ugraph1
+ (try
+ let ugraph1 = CicUniv.add_gt tno' tno ugraph in
+ t,(C.Sort (C.Type tno')),subst,metasenv,ugraph1
+ with
+ CicUniv.UniverseInconsistency msg -> raise (RefineFailure msg))
| C.Sort _ ->
t,C.Sort (C.Type (CicUniv.fresh())),subst,metasenv,ugraph
| C.Implicit infos ->
let te',inferredty,subst'',metasenv'',ugraph2 =
type_of_aux subst' metasenv' context te ugraph1
in
- (try
- let subst''',metasenv''',ugraph3 =
- fo_unif_subst subst'' context metasenv''
- inferredty ty' ugraph2
- in
- C.Cast (te',ty'),ty',subst''',metasenv''',ugraph3
- with
- exn ->
- enrich localization_tbl te'
- ~f:(fun _ ->
- lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst'' te'
- context ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst'' inferredty
- context ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst'' ty' context)) exn
- )
- | C.Prod (name,s,t) ->
- let carr t subst context = CicMetaSubst.apply_subst subst t in
- let coerce_to_sort in_source tgt_sort t type_to_coerce
- subst context metasenv uragph
- =
- if not !insert_coercions then
- t,type_to_coerce,subst,metasenv,ugraph
- else
- let coercion_src = carr type_to_coerce subst context in
- match coercion_src with
- | Cic.Sort _ ->
- t,type_to_coerce,subst,metasenv,ugraph
- | Cic.Meta _ as meta ->
- t, meta, subst, metasenv, ugraph
- | Cic.Cast _ as cast ->
- t, cast, subst, metasenv, ugraph
- | term ->
- let coercion_tgt = carr (Cic.Sort tgt_sort) subst context in
- let boh =
- CoercGraph.look_for_coercion coercion_src coercion_tgt
- in
- (match boh with
- | CoercGraph.NoCoercion
- | CoercGraph.NotHandled _ ->
- enrich localization_tbl t
- (RefineFailure
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst t context ^
- " is not a type since it has type " ^
- CicMetaSubst.ppterm_in_context
- subst coercion_src context ^ " that is not a sort")))
- | CoercGraph.NotMetaClosed ->
- enrich localization_tbl t
- (Uncertain
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst t context ^
- " is not a type since it has type " ^
- CicMetaSubst.ppterm_in_context
- subst coercion_src context ^ " that is not a sort")))
- | CoercGraph.SomeCoercion candidates ->
- let selected =
- HExtlib.list_findopt
- (try_coercion
- t subst metasenv context ugraph coercion_tgt)
- candidates
- in
- match selected with
- | Some x -> x
- | None ->
- enrich localization_tbl t
- (RefineFailure
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context
- subst t context ^
- " is not a type since it has type " ^
- CicMetaSubst.ppterm_in_context
- subst coercion_src context ^
- " that is not a sort"))))
+ let (te', ty'), subst''',metasenv''',ugraph3 =
+ coerce_to_something true localization_tbl te' inferredty ty'
+ subst'' metasenv'' context ugraph2
in
+ C.Cast (te',ty'),ty',subst''',metasenv''',ugraph3
+ | C.Prod (name,s,t) ->
let s',sort1,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context s ugraph
in
let s',sort1,subst', metasenv',ugraph1 =
- coerce_to_sort true (Cic.Type(CicUniv.fresh()))
+ coerce_to_sort localization_tbl
s' sort1 subst' context metasenv' ugraph1
in
let context_for_t = ((Some (name,(C.Decl s')))::context) in
context_for_t t ugraph1
in
let t',sort2,subst'',metasenv'',ugraph2 =
- coerce_to_sort false (Cic.Type(CicUniv.fresh()))
+ coerce_to_sort localization_tbl
t' sort2 subst'' context_for_t metasenv'' ugraph2
in
let sop,subst''',metasenv''',ugraph3 =
- sort_of_prod subst'' metasenv''
- context (name,s') (sort1,sort2) ugraph2
+ sort_of_prod localization_tbl subst'' metasenv''
+ context (name,s') t' (sort1,sort2) ugraph2
in
C.Prod (name,s',t'),sop,subst''',metasenv''',ugraph3
| C.Lambda (n,s,t) ->
-
let s',sort1,subst',metasenv',ugraph1 =
- type_of_aux subst metasenv context s ugraph in
+ type_of_aux subst metasenv context s ugraph
+ in
let s',sort1,subst',metasenv',ugraph1 =
- if not !insert_coercions then
- s',sort1, subst', metasenv', ugraph1
- else
- match CicReduction.whd ~subst:subst' context sort1 with
- | C.Meta _ | C.Sort _ -> s',sort1, subst', metasenv', ugraph1
- | coercion_src ->
- let coercion_tgt = Cic.Sort (Cic.Type (CicUniv.fresh())) in
- let boh =
- CoercGraph.look_for_coercion coercion_src coercion_tgt
- in
- match boh with
- | CoercGraph.NoCoercion
- | CoercGraph.NotHandled _ ->
- enrich localization_tbl s'
- (RefineFailure
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst s' context ^
- " is not a type since it has type " ^
- CicMetaSubst.ppterm_in_context
- subst coercion_src context ^ " that is not a sort")))
- | CoercGraph.NotMetaClosed ->
- enrich localization_tbl s'
- (Uncertain
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst s' context ^
- " is not a type since it has type " ^
- CicMetaSubst.ppterm_in_context
- subst coercion_src context ^ " that is not a sort")))
- | CoercGraph.SomeCoercion candidates ->
- let selected =
- HExtlib.list_findopt
- (try_coercion
- s' subst' metasenv' context ugraph1 coercion_tgt)
- candidates
- in
- match selected with
- | Some x -> x
- | None ->
- enrich localization_tbl s'
- (RefineFailure
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst s' context ^
- " is not a type since it has type " ^
- CicMetaSubst.ppterm_in_context
- subst coercion_src context ^
- " that is not a sort")))
+ coerce_to_sort localization_tbl
+ s' sort1 subst' context metasenv' ugraph1
in
let context_for_t = ((Some (n,(C.Decl s')))::context) in
let t',type2,subst'',metasenv'',ugraph2 =
* Even faster than the previous solution.
* Moreover the inferred type is closer to the expected one.
*)
- C.LetIn (n,s',t'),CicSubstitution.subst s' inferredty,
- subst'',metasenv'',ugraph2
+ C.LetIn (n,s',t'),
+ CicSubstitution.subst ~avoid_beta_redexes:true s' inferredty,
+ subst'',metasenv'',ugraph2
| C.Appl (he::((_::_) as tl)) ->
let he',hetype,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context he ugraph
(lazy ("Unkown mutual inductive definition " ^
U.string_of_uri uri)))
in
+ if List.length constructors <> List.length pl then
+ enrich localization_tbl t
+ (RefineFailure
+ (lazy "Wrong number of cases")) ;
let rec count_prod t =
match CicReduction.whd ~subst context t with
C.Prod (_, _, t) -> 1 + (count_prod t)
exn ->
enrich localization_tbl term' exn
~f:(function _ ->
- lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst term'
+ lazy ("(10)The term " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst term'
context ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst actual_type
+ CicMetaSubst.ppterm_in_context ~metasenv subst actual_type
context ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst expected_type' context))
+ CicMetaSubst.ppterm_in_context ~metasenv subst expected_type' context))
in
let rec instantiate_prod t =
function
(* TODO: check if the sort elimination
* is allowed: [(I q1 ... qr)|B] *)
let (pl',_,outtypeinstances,subst,metasenv,ugraph4) =
- List.fold_left
- (fun (pl,j,outtypeinstances,subst,metasenv,ugraph) p ->
+ List.fold_right
+ (fun p (pl,j,outtypeinstances,subst,metasenv,ugraph) ->
let constructor =
if left_args = [] then
(C.MutConstruct (uri,i,j,exp_named_subst))
type_of_aux subst metasenv context constructor ugraph1
in
let outtypeinstance,subst,metasenv,ugraph3 =
- check_branch 0 context metasenv subst no_left_params
- actual_type constructor' expected_type ugraph2
+ try
+ check_branch 0 context metasenv subst
+ no_left_params actual_type constructor' expected_type
+ ugraph2
+ with
+ exn ->
+ enrich localization_tbl constructor'
+ ~f:(fun _ ->
+ lazy ("(11)The term " ^
+ CicMetaSubst.ppterm_in_context metasenv subst p'
+ context ^ " has type " ^
+ CicMetaSubst.ppterm_in_context metasenv subst actual_type
+ context ^ " but is here used with type " ^
+ CicMetaSubst.ppterm_in_context metasenv subst expected_type
+ context)) exn
in
- (pl @ [p'],j+1,
- outtypeinstance::outtypeinstances,subst,metasenv,ugraph3))
- ([],1,[],subst,metasenv,ugraph3) pl
+ (p'::pl,j-1,
+ outtypeinstances@[outtypeinstance],subst,metasenv,ugraph3))
+ pl ([],List.length pl,[],subst,metasenv,ugraph3)
in
(* we are left to check that the outype matches his instances.
candidate_oty,ugraph,metasenv,subst
with
CicMetaSubst.DeliftingARelWouldCaptureAFreeVariable
- | CicUnification.UnificationFailure _
- | CicUnification.Uncertain _ ->
+ | RefineFailure _ | Uncertain _ ->
None,ugraph,metasenv,subst
) (Some instance',ugraph4,metasenv,subst) tl
in
exn ->
enrich localization_tbl p exn
~f:(function _ ->
- lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst p
+ lazy ("(12)The term " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst p
context ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst instance'
+ CicMetaSubst.ppterm_in_context ~metasenv subst instance'
context ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst instance
+ CicMetaSubst.ppterm_in_context ~metasenv subst instance
context)))
(subst,metasenv,ugraph5) pl' outtypeinstances
in
(C.Appl(outtype::right_args@[term]))),
subst,metasenv,ugraph6)
| C.Fix (i,fl) ->
- let fl_ty',subst,metasenv,types,ugraph1 =
+ let fl_ty',subst,metasenv,types,ugraph1,len =
List.fold_left
- (fun (fl,subst,metasenv,types,ugraph) (n,_,ty,_) ->
+ (fun (fl,subst,metasenv,types,ugraph,len) (n,_,ty,_) ->
let ty',_,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context ty ugraph
in
fl @ [ty'],subst',metasenv',
- Some (C.Name n,(C.Decl ty')) :: types, ugraph
- ) ([],subst,metasenv,[],ugraph) fl
+ Some (C.Name n,(C.Decl (CicSubstitution.lift len ty')))
+ :: types, ugraph, len+1
+ ) ([],subst,metasenv,[],ugraph,0) fl
in
- let len = List.length types in
let context' = types@context in
let fl_bo',subst,metasenv,ugraph2 =
List.fold_left
exn ->
enrich localization_tbl bo exn
~f:(function _ ->
- lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst bo
+ lazy ("(13)The term " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst bo
context' ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst ty_of_bo
+ CicMetaSubst.ppterm_in_context ~metasenv subst ty_of_bo
context' ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst expected_ty
+ CicMetaSubst.ppterm_in_context ~metasenv subst expected_ty
context))
in
fl @ [bo'] , subst',metasenv',ugraph'
in
C.Fix (i,fl''),ty,subst,metasenv,ugraph2
| C.CoFix (i,fl) ->
- let fl_ty',subst,metasenv,types,ugraph1 =
+ let fl_ty',subst,metasenv,types,ugraph1,len =
List.fold_left
- (fun (fl,subst,metasenv,types,ugraph) (n,ty,_) ->
+ (fun (fl,subst,metasenv,types,ugraph,len) (n,ty,_) ->
let ty',_,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context ty ugraph
in
fl @ [ty'],subst',metasenv',
- Some (C.Name n,(C.Decl ty')) :: types, ugraph1
- ) ([],subst,metasenv,[],ugraph) fl
+ Some (C.Name n,(C.Decl (CicSubstitution.lift len ty'))) ::
+ types, ugraph1, len+1
+ ) ([],subst,metasenv,[],ugraph,0) fl
in
- let len = List.length types in
let context' = types@context in
let fl_bo',subst,metasenv,ugraph2 =
List.fold_left
exn ->
enrich localization_tbl bo exn
~f:(function _ ->
- lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst bo
+ lazy ("(14)The term " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst bo
context' ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst ty_of_bo
+ CicMetaSubst.ppterm_in_context ~metasenv subst ty_of_bo
context' ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst expected_ty
+ CicMetaSubst.ppterm_in_context ~metasenv subst expected_ty
context))
in
fl @ [bo'],subst',metasenv',ugraph'
| Some t,Some (_,C.Def (ct,_)) ->
let subst',metasenv',ugraph' =
(try
+(*prerr_endline ("poco geniale: nel caso di IRL basterebbe sapere che questo e'
+ * il Rel corrispondente. Si puo' ottimizzare il caso t = rel.");*)
fo_unif_subst subst context metasenv t ct ugraph
- with e -> raise (RefineFailure (lazy (sprintf "The local context is not consistent with the canonical context, since %s cannot be unified with %s. Reason: %s" (CicMetaSubst.ppterm subst t) (CicMetaSubst.ppterm subst ct) (match e with AssertFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e))))))
+ with e -> raise (RefineFailure (lazy (sprintf "The local context is not consistent with the canonical context, since %s cannot be unified with %s. Reason: %s" (CicMetaSubst.ppterm ~metasenv subst t) (CicMetaSubst.ppterm ~metasenv subst ct) (match e with AssertFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e))))))
in
l @ [Some t],subst',metasenv',ugraph'
| Some t,Some (_,C.Decl ct) ->
(try
fo_unif_subst
subst' context metasenv' inferredty ct ugraph1
- with e -> raise (RefineFailure (lazy (sprintf "The local context is not consistent with the canonical context, since the type %s of %s cannot be unified with the expected type %s. Reason: %s" (CicMetaSubst.ppterm subst' inferredty) (CicMetaSubst.ppterm subst' t) (CicMetaSubst.ppterm subst' ct) (match e with AssertFailure msg -> Lazy.force msg | RefineFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e))))))
+ with e -> raise (RefineFailure (lazy (sprintf "The local context is not consistent with the canonical context, since the type %s of %s cannot be unified with the expected type %s. Reason: %s" (CicMetaSubst.ppterm metasenv' subst' inferredty) (CicMetaSubst.ppterm metasenv' subst' t) (CicMetaSubst.ppterm metasenv' subst' ct) (match e with AssertFailure msg -> Lazy.force msg | RefineFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e))))))
in
l @ [Some t'], subst'',metasenv'',ugraph2
| None, Some _ ->
- raise (RefineFailure (lazy (sprintf "Not well typed metavariable instance %s: the local context does not instantiate an hypothesis even if the hypothesis is not restricted in the canonical context %s" (CicMetaSubst.ppterm subst (Cic.Meta (metano, l))) (CicMetaSubst.ppcontext subst canonical_context))))) ([],subst,metasenv,ugraph) l lifted_canonical_context
+ raise (RefineFailure (lazy (sprintf "Not well typed metavariable instance %s: the local context does not instantiate an hypothesis even if the hypothesis is not restricted in the canonical context %s" (CicMetaSubst.ppterm ~metasenv subst (Cic.Meta (metano, l))) (CicMetaSubst.ppcontext ~metasenv subst canonical_context))))) ([],subst,metasenv,ugraph) l lifted_canonical_context
with
Invalid_argument _ ->
raise
(RefineFailure
(lazy (sprintf
"Not well typed metavariable instance %s: the length of the local context does not match the length of the canonical context %s"
- (CicMetaSubst.ppterm subst (Cic.Meta (metano, l)))
- (CicMetaSubst.ppcontext subst canonical_context))))
+ (CicMetaSubst.ppterm ~metasenv subst (Cic.Meta (metano, l)))
+ (CicMetaSubst.ppcontext ~metasenv subst canonical_context))))
and check_exp_named_subst metasubst metasenv context tl ugraph =
let rec check_exp_named_subst_aux metasubst metasenv substs tl ugraph =
with _ ->
raise (RefineFailure (lazy
("Wrong Explicit Named Substitution: " ^
- CicMetaSubst.ppterm metasubst' typeoft ^
+ CicMetaSubst.ppterm metasenv' metasubst' typeoft ^
" not unifiable with " ^
- CicMetaSubst.ppterm metasubst' typeofvar)))
+ CicMetaSubst.ppterm metasenv' metasubst' typeofvar)))
in
(* FIXME: no mere tail recursive! *)
let exp_name_subst, metasubst''', metasenv''', ugraph4 =
check_exp_named_subst_aux metasubst metasenv [] tl ugraph
- and sort_of_prod subst metasenv context (name,s) (t1, t2) ugraph =
+ and sort_of_prod localization_tbl subst metasenv context (name,s) t (t1, t2)
+ ugraph
+ =
let module C = Cic in
let context_for_t2 = (Some (name,C.Decl s))::context in
let t1'' = CicReduction.whd ~subst context t1 in
C.Sort s2,subst,metasenv,ugraph
| (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
let t' = CicUniv.fresh() in
- let ugraph1 = CicUniv.add_ge t' t1 ugraph in
- let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
- C.Sort (C.Type t'),subst,metasenv,ugraph2
+ (try
+ let ugraph1 = CicUniv.add_ge t' t1 ugraph in
+ let ugraph2 = CicUniv.add_ge t' t2 ugraph1 in
+ C.Sort (C.Type t'),subst,metasenv,ugraph2
+ with
+ CicUniv.UniverseInconsistency msg -> raise (RefineFailure msg))
| (C.Sort _,C.Sort (C.Type t1)) ->
C.Sort (C.Type t1),subst,metasenv,ugraph
| (C.Meta _, C.Sort _) -> t2'',subst,metasenv,ugraph
with _ -> assert false (* unification against a metavariable *)
in
t2'',subst,metasenv,ugraph1
+ | (C.Sort _,_)
+ | (C.Meta _,_) ->
+ enrich localization_tbl s
+ (RefineFailure
+ (lazy
+ (sprintf
+ "%s is supposed to be a type, but its type is %s"
+ (CicMetaSubst.ppterm_in_context ~metasenv subst t context)
+ (CicMetaSubst.ppterm_in_context ~metasenv subst t2 context))))
| _,_ ->
- raise
- (RefineFailure
- (lazy
- (sprintf
- ("Two sorts were expected, found %s " ^^
- "(that reduces to %s) and %s (that reduces to %s)")
- (CicPp.ppterm t1) (CicPp.ppterm t1'') (CicPp.ppterm t2)
- (CicPp.ppterm t2''))))
+ enrich localization_tbl t
+ (RefineFailure
+ (lazy
+ (sprintf
+ "%s is supposed to be a type, but its type is %s"
+ (CicMetaSubst.ppterm_in_context ~metasenv subst s context)
+ (CicMetaSubst.ppterm_in_context ~metasenv subst t1 context))))
and avoid_double_coercion context subst metasenv ugraph t ty =
+ if not !pack_coercions then
+ t,ty,subst,metasenv,ugraph
+ else
let b, c1, c2, head, c1_c2_implicit = is_a_double_coercion t in
if b then
let source_carr = CoercGraph.source_of c2 in
let tgt_carr = CicMetaSubst.apply_subst subst ty in
- (match CoercGraph.look_for_coercion source_carr tgt_carr
+ (match CoercGraph.look_for_coercion metasenv subst context source_carr tgt_carr
with
| CoercGraph.SomeCoercion candidates ->
- let selected =
+ let selected =
HExtlib.list_findopt
- (function
+ (function (metasenv,last,c) ->
+ match c with
| c when not (CoercGraph.is_composite c) ->
debug_print (lazy ("\nNot a composite.."^CicPp.ppterm c));
None
| c ->
- let newt =
- match c with
- | Cic.Appl l -> Cic.Appl (l @ [head])
- | _ -> Cic.Appl [c;head]
- in
- debug_print (lazy ("\nprovo" ^ CicPp.ppterm newt));
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv last head ugraph in
+ debug_print (lazy ("\nprovo" ^ CicPp.ppterm c));
(try
debug_print
(lazy
("packing: " ^
- CicPp.ppterm t ^ " ==> " ^ CicPp.ppterm newt));
+ CicPp.ppterm t ^ " ==> " ^ CicPp.ppterm c));
let newt,_,subst,metasenv,ugraph =
- type_of_aux subst metasenv context newt ugraph in
+ type_of_aux subst metasenv context c ugraph in
debug_print (lazy "tipa...");
let subst, metasenv, ugraph =
(* COME MAI C'ERA UN IF su !pack_coercions ??? *)
| RefineFailure s | Uncertain s ->
debug_print s;debug_print (lazy "goon\n");
try
+ let old_pack_coercions = !pack_coercions in
pack_coercions := false; (* to avoid diverging *)
let refined_c1_c2_implicit,ty,subst,metasenv,ugraph =
type_of_aux subst metasenv context c1_c2_implicit ugraph
in
- pack_coercions := true;
+ pack_coercions := old_pack_coercions;
let b, _, _, _, _ =
is_a_double_coercion refined_c1_c2_implicit
in
in
tlbody_and_type,subst,metasenv,ugraph
- and eat_prods
+ and eat_prods
allow_coercions subst metasenv context he hetype args_bo_and_ty ugraph
=
- (* aux function to add coercions to funclass *)
- let rec fix_arity metasenv context subst he hetype args_bo_and_ty ugraph =
- (* {{{ body *)
- let pristinemenv = metasenv in
- let metasenv,hetype' =
- mk_prod_of_metas metasenv context subst args_bo_and_ty
- in
- try
- let subst,metasenv,ugraph =
- fo_unif_subst_eat_prods
- subst context metasenv hetype hetype' ugraph
- in
- subst,metasenv,ugraph,hetype',he,args_bo_and_ty
- with RefineFailure s | Uncertain s as exn
- when allow_coercions && !insert_coercions ->
- (* {{{ we search a coercion of the head (saturated) to funclass *)
- let metasenv = pristinemenv in
- debug_print (lazy
- ("Fixing arity of: "^CicMetaSubst.ppterm subst hetype ^
- " since unif failed with: " ^ CicMetaSubst.ppterm subst hetype'
- (* ^ " cause: " ^ Lazy.force s *)));
- let how_many_args_are_needed =
- let rec aux n = function
- | Cic.Prod(_,_,t) -> aux (n+1) t
- | _ -> n
- in
- aux 0 (CicMetaSubst.apply_subst subst hetype)
- in
- let args, remainder =
- HExtlib.split_nth how_many_args_are_needed args_bo_and_ty
- in
- let args = List.map fst args in
- let x =
- if args <> [] then
- match he with
- | Cic.Appl l -> Cic.Appl (l@args)
- | _ -> Cic.Appl (he::args)
- else
- he
- in
- let x,xty,subst,metasenv,ugraph =
- type_of_aux subst metasenv context x ugraph
- in
- let carr_src =
- CoercDb.coerc_carr_of_term (CicMetaSubst.apply_subst subst xty)
- in
- let carr_tgt = CoercDb.Fun 0 in
- match CoercGraph.look_for_coercion' carr_src carr_tgt with
- | CoercGraph.NoCoercion
- | CoercGraph.NotMetaClosed
- | CoercGraph.NotHandled _ -> raise exn
- | CoercGraph.SomeCoercion candidates ->
- match
- HExtlib.list_findopt
- (fun coerc ->
- let t = Cic.Appl [coerc;x] in
- debug_print (lazy ("Tentative " ^ CicMetaSubst.ppterm subst t));
- try
- (* we want this to be available in the error handler fo the
- * following (so it has its own try. *)
- let t,tty,subst,metasenv,ugraph =
- type_of_aux subst metasenv context t ugraph
- in
- try
- let metasenv, hetype' =
- mk_prod_of_metas metasenv context subst remainder
- in
- debug_print (lazy
- (" unif: " ^ CicMetaSubst.ppterm subst tty ^ " = " ^
- CicMetaSubst.ppterm subst hetype'));
- let subst,metasenv,ugraph =
- fo_unif_subst_eat_prods
- subst context metasenv tty hetype' ugraph
- in
- debug_print (lazy " success!");
- Some (subst,metasenv,ugraph,tty,t,remainder)
- with
- | Uncertain _ | RefineFailure _
- | CicUnification.UnificationFailure _
- | CicUnification.Uncertain _ ->
- try
- let subst,metasenv,ugraph,hetype',he,args_bo_and_ty =
- fix_arity
- metasenv context subst t tty remainder ugraph
- in
- Some (subst,metasenv,ugraph,hetype',he,args_bo_and_ty)
- with Uncertain _ | RefineFailure _ -> None
- with Uncertain _ | RefineFailure _ -> None)
- candidates
- with
- | Some(subst,metasenv,ugraph,hetype',he,args_bo_and_ty)->
- subst,metasenv,ugraph,hetype',he,args_bo_and_ty
- | None ->
- more_args_than_expected localization_tbl
- subst he context hetype args_bo_and_ty exn
- (* }}} end coercion to funclass stuff *)
- (* }}} end fix_arity *)
+ (* given he:hety, gives beack all (c he) such that (c e):?->? *)
+ let fix_arity n metasenv context subst he hetype ugraph =
+ let hetype = CicMetaSubst.apply_subst subst hetype in
+ let src = CoercDb.coerc_carr_of_term hetype in
+ let tgt = CoercDb.Fun 0 in
+ match CoercGraph.look_for_coercion' metasenv subst context src tgt with
+ | CoercGraph.NoCoercion -> []
+ | CoercGraph.NotMetaClosed
+ | CoercGraph.NotHandled _ ->
+ raise (MoreArgsThanExpected (n,Uncertain (lazy "")))
+ | CoercGraph.SomeCoercionToTgt candidates
+ | CoercGraph.SomeCoercion candidates ->
+ HExtlib.filter_map
+ (fun (metasenv,last,coerc) ->
+ let pp t =
+ CicMetaSubst.ppterm_in_context ~metasenv subst t context in
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv last he ugraph in
+ debug_print (lazy ("New head: "^ pp coerc));
+ try
+ let tty,ugraph =
+ CicTypeChecker.type_of_aux' ~subst metasenv context coerc ugraph in
+ debug_print (lazy (" has type: "^ pp tty));
+ Some (coerc,tty,subst,metasenv,ugraph)
+ with
+ | Uncertain _ | RefineFailure _
+ | HExtlib.Localized (_,Uncertain _)
+ | HExtlib.Localized (_,RefineFailure _) -> None
+ | exn -> assert false)
+ candidates
in
(* aux function to process the type of the head and the args in parallel *)
- let rec eat_prods_and_args
- pristinemenv metasenv subst context pristinehe he hetype ugraph newargs
- =
- (* {{{ body *)
+ let rec eat_prods_and_args metasenv subst context he hetype ugraph newargs =
function
- | [] -> newargs,subst,metasenv,he,hetype,ugraph
- | (hete, hety)::tl ->
- match (CicReduction.whd ~subst context hetype) with
- | Cic.Prod (n,s,t) ->
- let arg,subst,metasenv,ugraph1 =
- try
- let subst,metasenv,ugraph1 =
- fo_unif_subst_eat_prods2
- subst context metasenv hety s ugraph
- in
- (hete,hety),subst,metasenv,ugraph1
- (* {{{ we search a coercion from hety to s if fails *)
- with RefineFailure _ | Uncertain _ as exn
- when allow_coercions && !insert_coercions ->
- let coer, tgt_carr =
- let carr t subst context =
- CicReduction.whd ~delta:false
- context (CicMetaSubst.apply_subst subst t )
- in
- let c_hety = carr hety subst context in
- let c_s = carr s subst context in
- CoercGraph.look_for_coercion c_hety c_s, c_s
- in
- (match coer with
- | CoercGraph.NoCoercion
- | CoercGraph.NotHandled _ ->
- enrich localization_tbl hete
- (RefineFailure
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst hete
- context ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst hety
- context ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst s context
- (* "\nReason: " ^ Lazy.force e*))))
- | CoercGraph.NotMetaClosed ->
- enrich localization_tbl hete
- (Uncertain
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst hete
- context ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst hety
- context ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst s context
- (* "\nReason: " ^ Lazy.force e*))))
- | CoercGraph.SomeCoercion candidates ->
- let selected =
- HExtlib.list_findopt
- (fun c ->
- try
- let t = Cic.Appl[c;hete] in
- let newt,newhety,subst,metasenv,ugraph =
- type_of_aux subst metasenv context
- t ugraph
- in
- let newt, newty, subst, metasenv, ugraph =
- avoid_double_coercion context subst metasenv
- ugraph newt tgt_carr
- in
- let subst,metasenv,ugraph1 =
- fo_unif_subst subst context metasenv
- newhety s ugraph
- in
- Some ((newt,newty), subst, metasenv, ugraph)
- with Uncertain _ | RefineFailure _ -> None)
- candidates
- in
- (match selected with
- | Some x -> x
- | None ->
- enrich localization_tbl hete
- ~f:(fun _ ->
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst hete
- context ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst hety
- context ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst s context
- (* "\nReason: " ^ Lazy.force e*)))) exn))
- | exn ->
- enrich localization_tbl hete
- ~f:(fun _ ->
- (lazy ("The term " ^
- CicMetaSubst.ppterm_in_context subst hete
- context ^ " has type " ^
- CicMetaSubst.ppterm_in_context subst hety
- context ^ " but is here used with type " ^
- CicMetaSubst.ppterm_in_context subst s context ^
- "\nReason: " ^ Printexc.to_string exn))) exn
- (* }}} end coercion stuff *)
- in
- eat_prods_and_args pristinemenv metasenv subst context pristinehe he
- (CicSubstitution.subst (fst arg) t)
- ugraph1 (newargs@[arg]) tl
- | _ ->
- try
- let subst,metasenv,ugraph1,hetype',he,args_bo_and_ty =
- fix_arity
- pristinemenv context subst he hetype
- (newargs@[hete,hety]@tl) ugraph
- in
- eat_prods_and_args metasenv
- metasenv subst context pristinehe he hetype' ugraph [] args_bo_and_ty
- with RefineFailure _ | Uncertain _ as exn ->
- (* unable to fix arity *)
- more_args_than_expected localization_tbl
- subst he context hetype args_bo_and_ty exn
- (* }}} *)
+ | [] -> newargs,subst,metasenv,he,hetype,ugraph
+ | (hete, hety)::tl as args ->
+ match (CicReduction.whd ~subst context hetype) with
+ | Cic.Prod (n,s,t) ->
+ let arg,subst,metasenv,ugraph =
+ coerce_to_something allow_coercions localization_tbl
+ hete hety s subst metasenv context ugraph in
+ eat_prods_and_args
+ metasenv subst context he (CicSubstitution.subst (fst arg) t)
+ ugraph (newargs@[arg]) tl
+ | _ ->
+ let he =
+ match he, newargs with
+ | _, [] -> he
+ | Cic.Appl l, _ -> Cic.Appl (l@List.map fst newargs)
+ | _ -> Cic.Appl (he::List.map fst newargs)
+ in
+ (*{{{*) debug_print (lazy
+ let pp x =
+ CicMetaSubst.ppterm_in_context ~metasenv subst x context in
+ "Fixing arity of: "^ pp he ^ "\n that has type: "^ pp hetype^
+ "\n but is applyed to: " ^ String.concat ";"
+ (List.map (fun (t,_)->pp t) args_bo_and_ty)); (*}}}*)
+ let possible_fixes =
+ fix_arity (List.length args) metasenv context subst he hetype
+ ugraph in
+ match
+ HExtlib.list_findopt
+ (fun (he,hetype,subst,metasenv,ugraph) ->
+ (* {{{ *)debug_print (lazy ("Try fix: "^
+ CicMetaSubst.ppterm_in_context ~metasenv subst he context));
+ debug_print (lazy (" of type: "^
+ CicMetaSubst.ppterm_in_context
+ ~metasenv subst hetype context)); (* }}} *)
+ try
+ Some (eat_prods_and_args
+ metasenv subst context he hetype ugraph [] args)
+ with
+ | RefineFailure _ | Uncertain _
+ | HExtlib.Localized (_,RefineFailure _)
+ | HExtlib.Localized (_,Uncertain _) -> None)
+ possible_fixes
+ with
+ | Some x -> x
+ | None ->
+ raise
+ (MoreArgsThanExpected
+ (List.length args, RefineFailure (lazy "")))
in
(* first we check if we are in the simple case of a meta closed term *)
let subst,metasenv,ugraph1,hetype',he,args_bo_and_ty =
- if CicUtil.is_meta_closed hetype then
+ if CicUtil.is_meta_closed (CicMetaSubst.apply_subst subst hetype) then
(* this optimization is to postpone fix_arity (the most common case)*)
subst,metasenv,ugraph,hetype,he,args_bo_and_ty
else
(* this (says CSC) is also useful to infer dependent types *)
- fix_arity metasenv context subst he hetype args_bo_and_ty ugraph
+ let pristinemenv = metasenv in
+ let metasenv,hetype' =
+ mk_prod_of_metas metasenv context subst args_bo_and_ty
+ in
+ try
+ let subst,metasenv,ugraph =
+ fo_unif_subst_eat_prods subst context metasenv hetype hetype' ugraph
+ in
+ subst,metasenv,ugraph,hetype',he,args_bo_and_ty
+ with RefineFailure _ | Uncertain _ ->
+ subst,pristinemenv,ugraph,hetype,he,args_bo_and_ty
in
let coerced_args,subst,metasenv,he,t,ugraph =
+ try
eat_prods_and_args
- metasenv metasenv subst context he he hetype' ugraph1 [] args_bo_and_ty
+ metasenv subst context he hetype' ugraph1 [] args_bo_and_ty
+ with
+ MoreArgsThanExpected (residuals,exn) ->
+ more_args_than_expected localization_tbl metasenv
+ subst he context hetype' residuals args_bo_and_ty exn
in
he,(List.map fst coerced_args),t,subst,metasenv,ugraph
+
+ and coerce_to_something
+ allow_coercions localization_tbl t infty expty subst metasenv context ugraph
+ =
+ let module CS = CicSubstitution in
+ let module CR = CicReduction in
+ let cs_subst = CS.subst ~avoid_beta_redexes:true in
+ let coerce_atom_to_something t infty expty subst metasenv context ugraph =
+ debug_print (lazy ("COERCE_ATOM_TO_SOMETHING"));
+ let coer =
+ CoercGraph.look_for_coercion metasenv subst context infty expty
+ in
+ match coer with
+ | CoercGraph.NotMetaClosed -> raise (Uncertain (lazy
+ "coerce_atom_to_something fails since not meta closed"))
+ | CoercGraph.NoCoercion
+ | CoercGraph.SomeCoercionToTgt _
+ | CoercGraph.NotHandled _ -> raise (RefineFailure (lazy
+ "coerce_atom_to_something fails since no coercions found"))
+ | CoercGraph.SomeCoercion candidates ->
+ debug_print (lazy (string_of_int (List.length candidates) ^
+ " candidates found"));
+ let uncertain = ref false in
+ let selected =
+ let posibilities =
+ HExtlib.filter_map
+ (fun (metasenv,last,c) ->
+ try
+ (* {{{ *) debug_print (lazy ("FO_UNIF_SUBST: " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst last context ^
+ " <==> " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst t context ^
+ "####" ^ CicMetaSubst.ppterm_in_context ~metasenv subst c
+ context));
+ debug_print (lazy ("FO_UNIF_SUBST: " ^
+ CicPp.ppterm last ^ " <==> " ^ CicPp.ppterm t)); (* }}} *)
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv last t ugraph
+ in
+ let newt,newhety,subst,metasenv,ugraph =
+ type_of_aux subst metasenv context c ugraph in
+ let newt, newty, subst, metasenv, ugraph =
+ avoid_double_coercion context subst metasenv ugraph newt expty
+ in
+ let subst,metasenv,ugraph =
+ fo_unif_subst subst context metasenv newhety expty ugraph in
+ Some ((newt,newty), subst, metasenv, ugraph)
+ with
+ | Uncertain _ -> uncertain := true; None
+ | RefineFailure _ -> None)
+ candidates
+ in
+ match
+ List.fast_sort
+ (fun (_,_,m1,_) (_,_,m2,_) -> List.length m1 - List.length m2)
+ posibilities
+ with
+ | [] -> None
+ | x::_ -> Some x
+ in
+ match selected with
+ | Some x -> x
+ | None when !uncertain -> raise (Uncertain (lazy "coerce_atom fails"))
+ | None -> raise (RefineFailure (lazy "coerce_atom fails"))
+ in
+ let rec coerce_to_something_aux
+ t infty expty subst metasenv context ugraph
+ =
+ try
+ let subst, metasenv, ugraph =
+ fo_unif_subst subst context metasenv infty expty ugraph
+ in
+ (t, expty), subst, metasenv, ugraph
+ with Uncertain _ | RefineFailure _ as exn ->
+ if not allow_coercions || not !insert_coercions then
+ enrich localization_tbl t exn
+ else
+ let whd = CicReduction.whd ~delta:false in
+ let clean t s c = whd c (CicMetaSubst.apply_subst s t) in
+ let infty = clean infty subst context in
+ let expty = clean expty subst context in
+ let t = clean t subst context in
+ (*{{{*) debug_print (lazy ("COERCE_TO_SOMETHING: " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst t context ^ " : " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst infty context ^" ==> "^
+ CicMetaSubst.ppterm_in_context ~metasenv subst expty context));(*}}}*)
+ let (coerced,_),subst,metasenv,_ as result =
+ match infty, expty, t with
+ | Cic.Prod (nameprod,src,ty), Cic.Prod (_,src2,ty2),Cic.Fix (n,fl) ->
+ (*{{{*) debug_print (lazy "FIX");
+ (match fl with
+ [name,i,_(* infty *),bo] ->
+ let context_bo =
+ Some (Cic.Name name,Cic.Decl expty)::context in
+ let (rel1, _), subst, metasenv, ugraph =
+ coerce_to_something_aux (Cic.Rel 1)
+ (CS.lift 1 expty) (CS.lift 1 infty) subst
+ metasenv context_bo ugraph in
+ let bo = cs_subst rel1 (CS.lift_from 2 1 bo) in
+ let (bo,_), subst, metasenv, ugraph =
+ coerce_to_something_aux bo (CS.lift 1 infty) (CS.lift 1
+ expty) subst
+ metasenv context_bo ugraph
+ in
+ (Cic.Fix (n,[name,i,expty,bo]),expty),subst,metasenv,ugraph
+ | _ -> assert false (* not implemented yet *)) (*}}}*)
+ | _,_, Cic.MutCase (uri,tyno,outty,m,pl) ->
+ (*{{{*) debug_print (lazy "CASE");
+ (* {{{ helper functions *)
+ let get_cl_and_left_p uri tyno outty ugraph =
+ match CicEnvironment.get_obj ugraph uri with
+ | Cic.InductiveDefinition (tl, _, leftno, _),ugraph ->
+ let count_pis t =
+ let rec aux ctx t =
+ match CicReduction.whd ~delta:false ctx t with
+ | Cic.Prod (name,src,tgt) ->
+ let ctx = Some (name, Cic.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
+ | Cic.Lambda (_,_,t),n ->
+ skip_lambda_delifting
+ (CS.subst (Cic.Implicit None) t) (n - 1)
+ | _ -> assert false
+ in
+ let get_l_r_p n = function
+ | Cic.Lambda (_,Cic.MutInd _,_) -> [],[]
+ | Cic.Lambda (_,Cic.Appl (Cic.MutInd _ :: args),_) ->
+ HExtlib.split_nth n args
+ | _ -> assert false
+ in
+ let _, _, ty, cl = List.nth tl tyno 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 instantiale_with_left cl =
+ List.map
+ (fun ty ->
+ List.fold_left
+ (fun t p -> match t with
+ | Cic.Prod (_,_,t) ->
+ cs_subst p t
+ | _-> assert false)
+ ty left_p)
+ cl
+ in
+ let cl = instantiale_with_left (List.map snd cl) in
+ cl, left_p, leftno, rno, ugraph
+ | _ -> 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 -> Cic.Rel n :: mkr (n+1) tl
+ in
+ let bo =
+ CicReplace.replace_lifting
+ ~equality:(fun _ -> CicUtil.alpha_equivalence)
+ ~context:ctx
+ ~what:(matched::right_p)
+ ~with_what:(Cic.Rel 1::List.rev (mkr 2 right_p))
+ ~where:bo
+ in
+ bo
+ | Cic.Lambda (name, src, tgt),_ ->
+ Cic.Lambda (name, src,
+ keep_lambdas_and_put_expty
+ (Some (name, Cic.Decl src)::ctx) tgt (CS.lift 1 bo)
+ (List.map (CS.lift 1) right_p) (CS.lift 1 matched) (n-1))
+ | _ -> assert false
+ in
+ let eq_uri, eq, eq_refl =
+ match LibraryObjects.eq_URI () with
+ | None -> HLog.warn "no default equality"; raise exn
+ | Some u -> u, Cic.MutInd(u,0,[]), Cic.MutConstruct (u,0,1,[])
+ in
+ let add_params
+ metasenv subst context uri tyno cty outty mty m leftno i
+ =
+ let rec aux context outty par k mty m = function
+ | Cic.Prod (name, src, tgt) ->
+ let t,k =
+ aux
+ (Some (name, Cic.Decl src) :: context)
+ (CS.lift 1 outty) (Cic.Rel k::par) (k+1)
+ (CS.lift 1 mty) (CS.lift 1 m) tgt
+ in
+ Cic.Prod (name, src, t), k
+ | Cic.MutInd _ ->
+ let k =
+ let k = Cic.MutConstruct (uri,tyno,i,[]) in
+ if par <> [] then Cic.Appl (k::par) else k
+ in
+ Cic.Prod (Cic.Name "p",
+ Cic.Appl [eq; mty; m; k],
+ (CS.lift 1
+ (CR.head_beta_reduce ~delta:false
+ (Cic.Appl [outty;k])))),k
+ | Cic.Appl (Cic.MutInd _::pl) ->
+ let left_p,right_p = HExtlib.split_nth leftno pl in
+ let has_rights = right_p <> [] in
+ let k =
+ let k = Cic.MutConstruct (uri,tyno,i,[]) in
+ Cic.Appl (k::left_p@par)
+ in
+ let right_p =
+ try match
+ CicTypeChecker.type_of_aux' ~subst metasenv context k
+ CicUniv.oblivion_ugraph
+ with
+ | Cic.Appl (Cic.MutInd _::args),_ ->
+ snd (HExtlib.split_nth leftno args)
+ | _ -> assert false
+ with CicTypeChecker.TypeCheckerFailure _-> assert false
+ in
+ if has_rights then
+ CR.head_beta_reduce ~delta:false
+ (Cic.Appl (outty ::right_p @ [k])),k
+ else
+ Cic.Prod (Cic.Name "p",
+ Cic.Appl [eq; mty; m; k],
+ (CS.lift 1
+ (CR.head_beta_reduce ~delta:false
+ (Cic.Appl (outty ::right_p @ [k]))))),k
+ | _ -> assert false
+ in
+ aux context outty [] 1 mty m cty
+ in
+ let add_lambda_for_refl_m pbo rno mty m k cty =
+ (* k lives in the right context *)
+ if rno <> 0 then pbo else
+ let rec aux mty m = function
+ | Cic.Lambda (name,src,bo), Cic.Prod (_,_,ty) ->
+ Cic.Lambda (name,src,
+ (aux (CS.lift 1 mty) (CS.lift 1 m) (bo,ty)))
+ | t,_ ->
+ Cic.Lambda (Cic.Name "p",
+ Cic.Appl [eq; mty; m; k],CS.lift 1 t)
+ in
+ aux mty m (pbo,cty)
+ in
+ let add_pi_for_refl_m new_outty mty m rno =
+ if rno <> 0 then new_outty else
+ let rec aux m mty = function
+ | Cic.Lambda (name, src, tgt) ->
+ Cic.Lambda (name, src,
+ aux (CS.lift 1 m) (CS.lift 1 mty) tgt)
+ | t ->
+ Cic.Prod
+ (Cic.Anonymous, Cic.Appl [eq;mty;m;Cic.Rel 1],
+ CS.lift 1 t)
+ in
+ aux m mty new_outty
+ in (* }}} end helper functions *)
+ (* constructors types with left params already instantiated *)
+ let outty = CicMetaSubst.apply_subst subst outty in
+ let cl, left_p, leftno,rno,ugraph =
+ get_cl_and_left_p uri tyno outty ugraph
+ in
+ let right_p, mty =
+ try
+ match
+ CicTypeChecker.type_of_aux' ~subst metasenv context m
+ CicUniv.oblivion_ugraph
+ with
+ | Cic.MutInd _ as mty,_ -> [], mty
+ | Cic.Appl (Cic.MutInd _::args) as mty,_ ->
+ snd (HExtlib.split_nth leftno args), mty
+ | _ -> assert false
+ with CicTypeChecker.TypeCheckerFailure _ -> assert false
+ in
+ let new_outty =
+ keep_lambdas_and_put_expty context outty expty right_p m (rno+1)
+ in
+ debug_print
+ (lazy ("CASE: new_outty: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst new_outty context));
+ let _,pl,subst,metasenv,ugraph =
+ List.fold_right2
+ (fun cty pbo (i, acc, s, menv, ugraph) ->
+ (* 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 uri tyno
+ cty outty mty m leftno i in
+ debug_print
+ (lazy ("CASE: infty_pbo: "^CicMetaSubst.ppterm_in_context
+ ~metasenv subst infty_pbo context));
+ let expty_pbo, k = (* k is (K_i left_par k_par) *)
+ add_params menv s context uri tyno
+ cty new_outty mty m leftno i in
+ debug_print
+ (lazy ("CASE: expty_pbo: "^CicMetaSubst.ppterm_in_context
+ ~metasenv subst expty_pbo context));
+ let pbo = add_lambda_for_refl_m pbo rno mty m k cty in
+ debug_print
+ (lazy ("CASE: pbo: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst pbo context));
+ let (pbo, _), subst, metasenv, ugraph =
+ coerce_to_something_aux pbo infty_pbo expty_pbo
+ s menv context ugraph
+ in
+ debug_print
+ (lazy ("CASE: pbo: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst pbo context));
+ (i-1, pbo::acc, subst, metasenv, ugraph))
+ cl pl (List.length pl, [], subst, metasenv, ugraph)
+ in
+ let new_outty = add_pi_for_refl_m new_outty mty m rno in
+ debug_print
+ (lazy ("CASE: new_outty: " ^ CicMetaSubst.ppterm_in_context
+ ~metasenv subst new_outty context));
+ let t =
+ if rno = 0 then
+ let refl_m=Cic.Appl[eq_refl;mty;m]in
+ Cic.Appl [Cic.MutCase(uri,tyno,new_outty,m,pl);refl_m]
+ else
+ Cic.MutCase(uri,tyno,new_outty,m,pl)
+ in
+ (t, expty), subst, metasenv, ugraph (*}}}*)
+ | Cic.Prod (nameprod, src, ty),Cic.Prod (_, src2, ty2), _ ->
+ (*{{{*) debug_print (lazy "LAM");
+ let name_con =
+ FreshNamesGenerator.mk_fresh_name
+ ~subst metasenv context ~typ:src2 Cic.Anonymous
+ in
+ let context_src2 = (Some (name_con, Cic.Decl src2) :: context) in
+ (* contravariant part: the argument of f:src->ty *)
+ let (rel1, _), subst, metasenv, ugraph =
+ coerce_to_something_aux
+ (Cic.Rel 1) (CS.lift 1 src2)
+ (CS.lift 1 src) subst metasenv context_src2 ugraph
+ in
+ (* covariant part: the result of f(c x); x:src2; (c x):src *)
+ let name_t, bo =
+ match t with
+ | Cic.Lambda (n,_,bo) -> n, cs_subst rel1 (CS.lift_from 2 1 bo)
+ | _ -> name_con, Cic.Appl[CS.lift 1 t;rel1]
+ in
+ (* we fix the possible dependency problem in the source ty *)
+ let ty = cs_subst rel1 (CS.lift_from 2 1 ty) in
+ let (bo, _), subst, metasenv, ugraph =
+ coerce_to_something_aux
+ bo ty ty2 subst metasenv context_src2 ugraph
+ in
+ let coerced = Cic.Lambda (name_t,src2, bo) in
+ (coerced, expty), subst, metasenv, ugraph (*}}}*)
+ | _ ->
+ (*{{{*)debug_print (lazy ("ATOM: "^CicMetaSubst.ppterm_in_context
+ ~metasenv subst infty context ^ " ==> " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst expty context));
+ coerce_atom_to_something
+ t infty expty subst metasenv context ugraph (*}}}*)
+ in
+ debug_print (lazy ("COERCE TO SOMETHING END: "^
+ CicMetaSubst.ppterm_in_context ~metasenv subst coerced context));
+ result
+ in
+ try
+ coerce_to_something_aux t infty expty subst metasenv context ugraph
+ with Uncertain _ | RefineFailure _ as exn ->
+ let f _ =
+ lazy ("The term " ^
+ CicMetaSubst.ppterm_in_context metasenv subst t context ^
+ " has type " ^ CicMetaSubst.ppterm_in_context metasenv subst
+ infty context ^ " but is here used with type " ^
+ CicMetaSubst.ppterm_in_context metasenv subst expty context)
+ in
+ enrich localization_tbl ~f t exn
+
+ and coerce_to_sort localization_tbl t infty subst context metasenv uragph =
+ match CicReduction.whd ~delta:false ~subst context infty with
+ | Cic.Meta _ | Cic.Sort _ ->
+ t,infty, subst, metasenv, ugraph
+ | src ->
+ debug_print (lazy ("COERCE TO SORT: "^CicMetaSubst.ppterm_in_context
+ ~metasenv subst src context));
+ let tgt = Cic.Sort (Cic.Type (CicUniv.fresh())) in
+ try
+ let (t, ty_t), subst, metasenv, ugraph =
+ coerce_to_something true
+ localization_tbl t src tgt subst metasenv context ugraph
+ in
+ debug_print (lazy ("COERCE TO SORT END: "^
+ CicMetaSubst.ppterm_in_context ~metasenv subst t context));
+ t, ty_t, subst, metasenv, ugraph
+ with HExtlib.Localized (_, exn) ->
+ let f _ =
+ lazy ("(7)The term " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst t context
+ ^ " is not a type since it has type " ^
+ CicMetaSubst.ppterm_in_context ~metasenv subst src context
+ ^ " that is not a sort")
+ in
+ enrich localization_tbl ~f t exn
in
(* eat prods ends here! *)
let con_context =
List.rev_map (fun (name,_,ty,_)-> Some (Cic.Name name,Cic.Decl ty)) tys in
(* second phase: we fix only the constructors *)
+ let saved_menv = metasenv in
let metasenv,ugraph,tys =
List.fold_right
(fun (name,b,ty,cl) (metasenv,ugraph,res) ->
let ty',_,metasenv,ugraph =
type_of_aux' ~localization_tbl metasenv con_context ty ugraph in
let ty' = undebrujin uri typesno tys ty' in
- metasenv,ugraph,(name,ty')::res
+ metasenv@saved_menv,ugraph,(name,ty')::res
) cl (metasenv,ugraph,[])
in
metasenv,ugraph,(name,b,ty,cl')::res
let ctx' = (Some (name,C.Decl so))::ctx in
C.Lambda (name, merge_coercions ctx so, merge_coercions ctx' dest)
| C.LetIn (name,so,dest) ->
- let ctx' = Some (name,(C.Def (so,None)))::ctx in
+ let _,ty,metasenv,ugraph =
+ pack_coercions := false;
+ type_of_aux' metasenv ctx so CicUniv.oblivion_ugraph in
+ pack_coercions := true;
+ let ctx' = Some (name,(C.Def (so,Some ty)))::ctx in
C.LetIn (name, merge_coercions ctx so, merge_coercions ctx' dest)
| C.Appl l ->
let l = List.map (merge_coercions ctx) l in
let t = C.Appl l in
let b,_,_,_,_ = is_a_double_coercion t in
- (* prerr_endline "CANDIDATO!!!!"; *)
if b then
- let ugraph = CicUniv.empty_ugraph in
+ let ugraph = CicUniv.oblivion_ugraph in
let old_insert_coercions = !insert_coercions in
insert_coercions := false;
let newt, _, menv, _ =
try
type_of_aux' metasenv ctx t ugraph
with RefineFailure _ | Uncertain _ ->
- prerr_endline (CicPp.ppterm t);
t, t, [], ugraph
in
insert_coercions := old_insert_coercions;
merge_coercions ctx t
;;
-let pack_coercion_obj obj =
+let pack_coercion_metasenv conjectures = conjectures (*
+
+ TASSI: this code war written when coercions were a toy,
+ now packing coercions involves unification thus
+ the metasenv may change, and this pack coercion
+ does not handle that.
+
+ let module C = Cic in
+ List.map
+ (fun (i, ctx, ty) ->
+ let ctx =
+ List.fold_right
+ (fun item ctx ->
+ let item' =
+ match item with
+ Some (name, C.Decl t) ->
+ Some (name, C.Decl (pack_coercion conjectures ctx t))
+ | Some (name, C.Def (t,None)) ->
+ Some (name,C.Def (pack_coercion conjectures ctx t,None))
+ | Some (name, C.Def (t,Some ty)) ->
+ Some (name, C.Def (pack_coercion conjectures ctx t,
+ Some (pack_coercion conjectures ctx ty)))
+ | None -> None
+ in
+ item'::ctx
+ ) ctx []
+ in
+ ((i,ctx,pack_coercion conjectures ctx ty))
+ ) conjectures
+ *)
+;;
+
+let pack_coercion_obj obj = obj (*
+
+ TASSI: this code war written when coercions were a toy,
+ now packing coercions involves unification thus
+ the metasenv may change, and this pack coercion
+ does not handle that.
+
let module C = Cic in
match obj with
| C.Constant (id, body, ty, params, attrs) ->
let ty = pack_coercion [] [] ty in
C.Variable (name, body, ty, params, attrs)
| C.CurrentProof (name, conjectures, body, ty, params, attrs) ->
- let conjectures =
- List.map
- (fun (i, ctx, ty) ->
- let ctx =
- List.fold_right
- (fun item ctx ->
- let item' =
- match item with
- Some (name, C.Decl t) ->
- Some (name, C.Decl (pack_coercion conjectures ctx t))
- | Some (name, C.Def (t,None)) ->
- Some (name,C.Def (pack_coercion conjectures ctx t,None))
- | Some (name, C.Def (t,Some ty)) ->
- Some (name, C.Def (pack_coercion conjectures ctx t,
- Some (pack_coercion conjectures ctx ty)))
- | None -> None
- in
- item'::ctx
- ) ctx []
- in
- ((i,ctx,pack_coercion conjectures ctx ty))
- ) conjectures
- in
+ let conjectures = pack_coercion_metasenv conjectures in
let body = pack_coercion conjectures [] body in
let ty = pack_coercion conjectures [] ty in
C.CurrentProof (name, conjectures, body, ty, params, attrs)
(name, ind, arity, cl))
indtys
in
- C.InductiveDefinition (indtys, params, leftno, attrs)
+ C.InductiveDefinition (indtys, params, leftno, attrs) *)
;;
projects / helm.git / blobdiff