open Printf
-exception RefineFailure of string;;
-exception Uncertain of string;;
-exception AssertFailure of string;;
+exception RefineFailure of string Lazy.t;;
+exception Uncertain of string Lazy.t;;
+exception AssertFailure of string Lazy.t;;
let debug_print = fun _ -> ()
+let profiler = HExtlib.profile "CicRefine.fo_unif"
+
let fo_unif_subst subst context metasenv t1 t2 ugraph =
try
+let foo () =
CicUnification.fo_unif_subst subst context metasenv t1 t2 ugraph
+in profiler.HExtlib.profile foo ()
with
(CicUnification.UnificationFailure msg) -> raise (RefineFailure msg)
| (CicUnification.Uncertain msg) -> raise (Uncertain msg)
;;
-
+
let rec split l n =
match (l,n) with
(l,0) -> ([], l)
| (he::tl, n) -> let (l1,l2) = split tl (n-1) in (he::l1,l2)
- | (_,_) -> raise (AssertFailure "split: list too short")
+ | (_,_) -> raise (AssertFailure (lazy "split: list too short"))
;;
let rec type_of_constant uri ugraph =
- let module C = Cic in
- let module R = CicReduction in
- let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u= CicEnvironment.get_obj ugraph uri in
- match obj with
- C.Constant (_,_,ty,_,_) -> ty,u
- | C.CurrentProof (_,_,_,ty,_,_) -> ty,u
- | _ ->
- raise
- (RefineFailure ("Unknown constant definition " ^ U.string_of_uri uri))
+ let module C = Cic in
+ let module R = CicReduction in
+ let module U = UriManager in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.Constant (_,_,ty,_,_) -> ty,u
+ | C.CurrentProof (_,_,_,ty,_,_) -> ty,u
+ | _ ->
+ raise
+ (RefineFailure (lazy ("Unknown constant definition " ^ U.string_of_uri uri)))
and type_of_variable uri ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u = CicEnvironment.get_obj ugraph uri in
- match obj with
- C.Variable (_,_,ty,_,_) -> ty,u
- | _ ->
- raise
- (RefineFailure
- ("Unknown variable definition " ^ UriManager.string_of_uri uri))
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.Variable (_,_,ty,_,_) -> ty,u
+ | _ ->
+ raise
+ (RefineFailure
+ (lazy ("Unknown variable definition " ^ UriManager.string_of_uri uri)))
and type_of_mutual_inductive_defs uri i ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u = CicEnvironment.get_obj ugraph uri in
- match obj with
- C.InductiveDefinition (dl,_,_,_) ->
- let (_,_,arity,_) = List.nth dl i in
- arity,u
- | _ ->
- raise
- (RefineFailure
- ("Unknown mutual inductive definition " ^ U.string_of_uri uri))
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
+ match obj with
+ C.InductiveDefinition (dl,_,_,_) ->
+ let (_,_,arity,_) = List.nth dl i in
+ arity,u
+ | _ ->
+ raise
+ (RefineFailure
+ (lazy ("Unknown mutual inductive definition " ^ U.string_of_uri uri)))
and type_of_mutual_inductive_constr uri i j ugraph =
let module C = Cic in
let module R = CicReduction in
let module U = UriManager in
- (*
- let obj =
- try
- CicEnvironment.get_cooked_obj uri
- with Not_found -> assert false
- in
- *)
- let obj,u = CicEnvironment.get_obj ugraph uri in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u =
+ try
+ CicEnvironment.get_cooked_obj ugraph uri
+ with Not_found -> assert false
+ in
match obj with
C.InductiveDefinition (dl,_,_,_) ->
let (_,_,_,cl) = List.nth dl i in
| _ ->
raise
(RefineFailure
- ("Unkown mutual inductive definition " ^ U.string_of_uri uri))
+ (lazy ("Unkown mutual inductive definition " ^ U.string_of_uri uri)))
(* type_of_aux' is just another name (with a different scope) for type_of_aux *)
check_branch (n+1)
((Some (name,(C.Decl so)))::context)
metasenv subst left_args_no de' term' de ugraph1
- | _ -> raise (AssertFailure "Wrong number of arguments"))
- | _ -> raise (AssertFailure "Prod or MutInd expected")
+ | _ -> raise (AssertFailure (lazy "Wrong number of arguments")))
+ | _ -> raise (AssertFailure (lazy "Prod or MutInd expected"))
and type_of_aux' metasenv context t ugraph =
let rec type_of_aux subst metasenv context t ugraph =
| Some (_,C.Def (_,Some ty)) ->
t,S.lift n ty,subst,metasenv, ugraph
| Some (_,C.Def (bo,None)) ->
- type_of_aux subst metasenv context (S.lift n bo) ugraph
- | None -> raise (RefineFailure "Rel to hidden hypothesis")
+ let ty,ugraph =
+ (* if it is in the context it must be already well-typed*)
+ CicTypeChecker.type_of_aux' ~subst metasenv context
+ (S.lift n bo) ugraph
+ in
+ t,ty,subst,metasenv,ugraph
+ | None -> raise (RefineFailure (lazy "Rel to hidden hypothesis"))
with
- _ -> raise (RefineFailure "Not a close term")
+ _ -> raise (RefineFailure (lazy "Not a close term"))
)
| C.Var (uri,exp_named_subst) ->
let exp_named_subst',subst',metasenv',ugraph1 =
t,(C.Sort (C.Type tno')),subst,metasenv,ugraph1
| C.Sort _ ->
t,C.Sort (C.Type (CicUniv.fresh())),subst,metasenv,ugraph
- | C.Implicit _ -> raise (AssertFailure "21")
+ | C.Implicit _ -> raise (AssertFailure (lazy "21"))
| C.Cast (te,ty) ->
let ty',_,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context ty ugraph
in
C.Cast (te',ty'),ty',subst''',metasenv''',ugraph3
with
- _ -> raise (RefineFailure "Cast"))
+ _ -> raise (RefineFailure (lazy "Cast")))
| C.Prod (name,s,t) ->
let s',sort1,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context s ugraph
type_of_aux subst' metasenv'
((Some (name,(C.Decl s')))::context) t ugraph1
in
- let sop,subst''',metasenv''',ugraph3 =
- sort_of_prod subst'' metasenv''
- context (name,s') (sort1,sort2) ugraph2
- in
- C.Prod (name,s',t'),sop,subst''',metasenv''',ugraph3
+ (try
+ let sop,subst''',metasenv''',ugraph3 =
+ sort_of_prod subst'' metasenv''
+ context (name,s') (sort1,sort2) ugraph2
+ in
+ C.Prod (name,s',t'),sop,subst''',metasenv''',ugraph3
+ with
+ | RefineFailure _ as exn ->
+ (* given [t] of type [type_to_coerce] returns
+ * a term that has type [tgt_sort] eventually
+ * derived from (coercion [t]) *)
+ let refined_target = t' in
+ let sort_of_refined_target = sort2 in
+ let carr t subst context = CicMetaSubst.apply_subst subst t in
+ let coerce_to_sort tgt_sort t type_to_coerce subst ctx =
+ match type_to_coerce with
+ | Cic.Sort _ -> t
+ | term ->
+ let coercion_src = carr type_to_coerce subst ctx in
+ let coercion_tgt = carr (Cic.Sort tgt_sort) subst ctx in
+ let search = CoercGraph.look_for_coercion in
+ (match search coercion_src coercion_tgt with
+ | CoercGraph.NoCoercion
+ | CoercGraph.NotHandled _ -> raise exn
+ | CoercGraph.NotMetaClosed ->
+ raise (Uncertain (lazy "Coercions on metas"))
+ | CoercGraph.SomeCoercion c -> Cic.Appl [c;t])
+ in
+ (* this is probably not the best... *)
+ let tgt_sort_for_pi_source = Cic.Type(CicUniv.fresh()) in
+ let tgt_sort_for_pi_target = Cic.Type(CicUniv.fresh()) in
+ let new_src =
+ coerce_to_sort tgt_sort_for_pi_source s sort1 subst context
+ in
+ let context_with_new_src =
+ ((Some (name,(C.Decl new_src)))::context)
+ in
+ let new_tgt =
+ coerce_to_sort
+ tgt_sort_for_pi_target
+ refined_target sort_of_refined_target
+ subst context_with_new_src
+ in
+ let newprod = C.Prod (name,new_src,new_tgt) in
+ let _,sort_of_refined_prod,subst,metasenv,ugraph3 =
+ type_of_aux subst metasenv context newprod ugraph2
+ in
+ (* this if for a coercion on the tail of the arrow *)
+ let new_target =
+ match sort_of_refined_target with
+ | Cic.Sort _ -> refined_target
+ | _ -> new_tgt
+ in
+ C.Prod(name,new_src,new_target),
+ sort_of_refined_prod,subst,metasenv,ugraph3)
| C.Lambda (n,s,t) ->
let s',sort1,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context s ugraph
C.Meta _
| C.Sort _ -> ()
| _ ->
- raise (RefineFailure (sprintf
+ raise (RefineFailure (lazy (sprintf
"Not well-typed lambda-abstraction: the source %s should be a type;
instead it is a term of type %s" (CicPp.ppterm s)
- (CicPp.ppterm sort1)))
+ (CicPp.ppterm sort1))))
) ;
let t',type2,subst'',metasenv'',ugraph2 =
type_of_aux subst' metasenv'
* Moreover the inferred type is closer to the expected one.
*)
C.LetIn (n,s',t'),CicSubstitution.subst s' inferredty,
- subst',metasenv',ugraph2
+ subst'',metasenv'',ugraph2
| C.Appl (he::((_::_) as tl)) ->
let he',hetype,subst',metasenv',ugraph1 =
type_of_aux subst metasenv context he ugraph
hetype tlbody_and_type ugraph2
in
C.Appl (he'::tl'), applty,subst''',metasenv''',ugraph3
- | C.Appl _ -> raise (RefineFailure "Appl: no arguments")
+ | C.Appl _ -> raise (RefineFailure (lazy "Appl: no arguments"))
| C.Const (uri,exp_named_subst) ->
let exp_named_subst',subst',metasenv',ugraph1 =
check_exp_named_subst subst metasenv context
(* first, get the inductive type (and noparams)
* in the environment *)
let (_,b,arity,constructors), expl_params, no_left_params,ugraph =
- let obj,u = CicEnvironment.get_obj ugraph uri in
+ let _ = CicTypeChecker.typecheck uri in
+ let obj,u = CicEnvironment.get_cooked_obj ugraph uri in
match obj with
C.InductiveDefinition (l,expl_params,parsno,_) ->
List.nth l i , expl_params, parsno, u
| _ ->
raise
(RefineFailure
- ("Unkown mutual inductive definition " ^
- U.string_of_uri uri))
+ (lazy ("Unkown mutual inductive definition " ^
+ U.string_of_uri uri)))
in
let rec count_prod t =
match CicReduction.whd ~subst context t with
(let candidate,ugraph5,metasenv,subst =
let exp_name_subst, metasenv =
let o,_ =
- CicEnvironment.get_obj CicUniv.empty_ugraph uri
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
in
let uris = CicUtil.params_of_obj o in
List.fold_right (
None,ugraph4,metasenv,subst
in
match candidate with
- | None -> raise (Uncertain "can't solve an higher order unification problem")
+ | None -> raise (Uncertain (lazy "can't solve an higher order unification problem"))
| Some candidate ->
let subst,metasenv,ugraph =
fo_unif_subst subst context metasenv
let subst',metasenv',ugraph' =
(try
fo_unif_subst subst context metasenv t ct ugraph
- with e -> raise (RefineFailure (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 -> 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 subst t) (CicMetaSubst.ppterm 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 (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 -> 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 subst' inferredty) (CicMetaSubst.ppterm subst' t) (CicMetaSubst.ppterm subst' ct) (match e with AssertFailure msg -> Lazy.force msg | _ -> (Printexc.to_string e))))))
in
l @ [Some t'], subst'',metasenv'',ugraph2
| None, Some _ ->
- raise (RefineFailure (sprintf
+ 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)))
+ (CicMetaSubst.ppcontext subst canonical_context))))
) ([],subst,metasenv,ugraph) l lifted_canonical_context
with
Invalid_argument _ ->
raise
(RefineFailure
- (sprintf
+ (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.ppcontext 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 =
(match CicEnvironment.get_cooked_obj ~trust:false uri with
Cic.Variable (_,Some bo,_,_) ->
raise
- (RefineFailure
- "A variable with a body can not be explicit substituted")
+ (RefineFailure (Reason
+ "A variable with a body can not be explicit substituted"))
| Cic.Variable (_,None,_,_) -> ()
| _ ->
raise
- (RefineFailure
- ("Unkown variable definition " ^ UriManager.string_of_uri uri))
+ (RefineFailure (Reason
+ ("Unkown variable definition " ^ UriManager.string_of_uri uri)))
) ;
*)
let t',typeoft,metasubst',metasenv',ugraph2 =
fo_unif_subst
metasubst' context metasenv' typeoft typeofvar ugraph2
with _ ->
- raise (RefineFailure
+ raise (RefineFailure (lazy
("Wrong Explicit Named Substitution: " ^
CicMetaSubst.ppterm metasubst' typeoft ^
" not unifiable with " ^
- CicMetaSubst.ppterm metasubst' typeofvar))
+ CicMetaSubst.ppterm metasubst' typeofvar)))
in
(* FIXME: no mere tail recursive! *)
let exp_name_subst, metasubst''', metasenv''', ugraph4 =
let t2'' = CicReduction.whd ~subst context_for_t2 t2 in
match (t1'', t2'') with
(C.Sort s1, C.Sort s2)
- when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) -> (* different than Coq manual!!! *)
+ when (s2 = C.Prop or s2 = C.Set or s2 = C.CProp) ->
+ (* different than Coq manual!!! *)
C.Sort s2,subst,metasenv,ugraph
| (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
- (* TASSI: CONSRTAINTS: the same in cictypechecker, doubletypeinference *)
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
| (C.Sort _,C.Sort (C.Type t1)) ->
- (* TASSI: CONSRTAINTS: the same in cictypechecker, doubletypeinference *)
C.Sort (C.Type t1),subst,metasenv,ugraph
| (C.Meta _, C.Sort _) -> t2'',subst,metasenv,ugraph
| (C.Sort _,C.Meta _) | (C.Meta _,C.Meta _) ->
(* TODO how can we force the meta to become a sort? If we don't we
* brake the invariant that refine produce only well typed terms *)
- (* TODO if we check the non meta term and if it is a sort then we are
- * likely to know the exact value of the result e.g. if the rhs is a
- * Sort (Prop | Set | CProp) then the result is the rhs *)
+ (* TODO if we check the non meta term and if it is a sort then we
+ * are likely to know the exact value of the result e.g. if the rhs
+ * is a Sort (Prop | Set | CProp) then the result is the rhs *)
let (metasenv,idx) =
CicMkImplicit.mk_implicit_sort metasenv subst in
let (subst, metasenv,ugraph1) =
- fo_unif_subst subst context_for_t2 metasenv (C.Meta (idx,[])) t2'' ugraph
+ fo_unif_subst subst context_for_t2 metasenv
+ (C.Meta (idx,[])) t2'' ugraph
in
t2'',subst,metasenv,ugraph1
- | (_,_) ->
- raise (RefineFailure (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'')))
+ | _,_ ->
+ 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''))))
and eat_prods subst metasenv context hetype tlbody_and_type ugraph =
let rec mk_prod metasenv context =
try
fo_unif_subst subst context metasenv hetype hetype' ugraph
with exn ->
- debug_print (Printf.sprintf "hetype=%s\nhetype'=%s\nmetasenv=%s\nsubst=%s"
+ debug_print (lazy (Printf.sprintf "hetype=%s\nhetype'=%s\nmetasenv=%s\nsubst=%s"
(CicPp.ppterm hetype)
(CicPp.ppterm hetype')
- (CicMetaSubst.ppmetasenv metasenv [])
- (CicMetaSubst.ppsubst subst));
+ (CicMetaSubst.ppmetasenv [] metasenv)
+ (CicMetaSubst.ppsubst subst)));
raise exn
in
hete,subst,metasenv,ugraph1
with exn ->
(* we search a coercion from hety to s *)
- let coer = CoercGraph.look_for_coercion
- (CicMetaSubst.apply_subst subst hety)
- (CicMetaSubst.apply_subst subst s)
+ let coer =
+ let carr t subst 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
in
match coer with
- | None -> raise exn
- | Some c ->
+ | CoercGraph.NoCoercion
+ | CoercGraph.NotHandled _ -> raise exn
+ | CoercGraph.NotMetaClosed ->
+ raise (Uncertain (lazy "Coercions on meta"))
+ | CoercGraph.SomeCoercion c ->
(Cic.Appl [ c ; hete ]), subst, metasenv, ugraph
in
let coerced_args,metasenv',subst',t',ugraph2 =
try
type_of_aux' metasenv context term ugraph
with
- CicUniv.UniverseInconsistency msg -> raise (RefineFailure msg)
+ CicUniv.UniverseInconsistency msg -> raise (RefineFailure (lazy msg))
(*CSC: this is a very very rough approximation; to be finished *)
let are_all_occurrences_positive uri =
Cic.Appl (Cic.MutInd (uri',_,_)::_) when uri = uri' -> ()
| Cic.MutInd (uri',_,_) when uri = uri' -> ()
| Cic.Prod (_,_,t) -> aux t
- | _ -> raise (RefineFailure "not well formed constructor type")
+ | _ -> raise (RefineFailure (lazy "not well formed constructor type"))
in
aux
(* instead of raising Uncertain, let's hope that the meta will become
a sort *)
| Cic.Meta _ -> ()
- | _ -> raise (RefineFailure "The term provided is not a type")
+ | _ -> raise (RefineFailure (lazy "The term provided is not a type"))
end;
let subst,metasenv,ugraph = fo_unif_subst [] [] metasenv boty ty' ugraph in
let bo' = CicMetaSubst.apply_subst subst bo' in
let t = CicSubstitution.subst t' t in
i - 1,t
) tys (typesno - 1,t)) in
- let ty' = undebrujin ty in
+ let ty' = undebrujin ty' in
metasenv,ugraph,(name,ty')::res
) cl (metasenv,ugraph,[])
in
try
let (t,ty,m) =
type_of_aux' metasenv context term in
- debug_print
- ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty);
- debug_print
- ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv ~sep:";" m []);
+ debug_print (lazy
+ ("@@@ REFINE SUCCESSFUL: " ^ CicPp.ppterm t ^ " : " ^ CicPp.ppterm ty));
+ debug_print (lazy
+ ("@@@ REFINE SUCCESSFUL (metasenv):\n" ^ CicMetaSubst.ppmetasenv ~sep:";" m []));
(t,ty,m)
with
| RefineFailure msg as e ->
- debug_print ("@@@ REFINE FAILED: " ^ msg);
+ debug_print (lazy ("@@@ REFINE FAILED: " ^ msg));
raise e
| Uncertain msg as e ->
- debug_print ("@@@ REFINE UNCERTAIN: " ^ msg);
+ debug_print (lazy ("@@@ REFINE UNCERTAIN: " ^ msg));
raise e
;; *)
+
+let profiler2 = HExtlib.profile "CicRefine"
+
+let type_of_aux' metasenv context term ugraph =
+ profiler2.HExtlib.profile (type_of_aux' metasenv context term) ugraph
+
+let typecheck metasenv uri obj =
+ profiler2.HExtlib.profile (typecheck metasenv uri) obj