open Printf
-exception UnificationFailure of string;;
-exception Uncertain of string;;
-exception AssertFailure of string;;
+exception UnificationFailure of string Lazy.t;;
+exception Uncertain of string Lazy.t;;
+exception AssertFailure of string Lazy.t;;
+let verbose = false;;
let debug_print = fun _ -> ()
+let profiler_toa = HExtlib.profile "fo_unif_subst.type_of_aux'"
+let profiler_beta_expand = HExtlib.profile "fo_unif_subst.beta_expand"
+let profiler_deref = HExtlib.profile "fo_unif_subst.deref'"
+let profiler_are_convertible = HExtlib.profile "fo_unif_subst.are_convertible"
+
let type_of_aux' metasenv subst context term ugraph =
+let foo () =
try
CicTypeChecker.type_of_aux' ~subst metasenv context term ugraph
with
CicTypeChecker.TypeCheckerFailure msg ->
let msg =
+ lazy
(sprintf
"Kernel Type checking error:
%s\n%s\ncontext=\n%s\nmetasenv=\n%s\nsubstitution=\n%s\nException:\n%s.\nToo bad."
(CicMetaSubst.ppterm subst term)
(CicMetaSubst.ppterm [] term)
(CicMetaSubst.ppcontext subst context)
- (CicMetaSubst.ppmetasenv metasenv subst)
- (CicMetaSubst.ppsubst subst) msg) in
- raise (AssertFailure msg);;
+ (CicMetaSubst.ppmetasenv subst metasenv)
+ (CicMetaSubst.ppsubst subst) (Lazy.force msg)) in
+ raise (AssertFailure msg)
+ | CicTypeChecker.AssertFailure msg ->
+ let msg = lazy
+ (sprintf
+ "Kernel Type checking assertion failure:
+%s\n%s\ncontext=\n%s\nmetasenv=\n%s\nsubstitution=\n%s\nException:\n%s.\nToo bad."
+ (CicMetaSubst.ppterm subst term)
+ (CicMetaSubst.ppterm [] term)
+ (CicMetaSubst.ppcontext subst context)
+ (CicMetaSubst.ppmetasenv subst metasenv)
+ (CicMetaSubst.ppsubst subst) (Lazy.force msg)) in
+ raise (AssertFailure msg)
+in profiler_toa.HExtlib.profile foo ()
+;;
let exists_a_meta l =
List.exists (function Cic.Meta _ -> true | _ -> false) l
| t -> t
;;
+let deref subst t =
+ let foo () = deref subst t
+ in profiler_deref.HExtlib.profile foo ()
+
+exception WrongShape;;
+let eta_reduce after_beta_expansion after_beta_expansion_body
+ before_beta_expansion
+ =
+ try
+ match before_beta_expansion,after_beta_expansion_body with
+ Cic.Appl l, Cic.Appl l' ->
+ let rec all_but_last check_last =
+ function
+ [] -> assert false
+ | [Cic.Rel 1] -> []
+ | [_] -> if check_last then raise WrongShape else []
+ | he::tl -> he::(all_but_last check_last tl)
+ in
+ let all_but_last check_last l =
+ match all_but_last check_last l with
+ [] -> assert false
+ | [he] -> he
+ | l -> Cic.Appl l
+ in
+ let t = CicSubstitution.subst (Cic.Rel (-1)) (all_but_last true l') in
+ let all_but_last = all_but_last false l in
+ (* here we should test alpha-equivalence; however we know by
+ construction that here alpha_equivalence is equivalent to = *)
+ if t = all_but_last then
+ all_but_last
+ else
+ after_beta_expansion
+ | _,_ -> after_beta_expansion
+ with
+ WrongShape -> after_beta_expansion
let rec beta_expand test_equality_only metasenv subst context t arg ugraph =
let module S = CicSubstitution in
let module C = Cic in
+let foo () =
let rec aux metasenv subst n context t' ugraph =
try
let argty,ugraph1 = type_of_aux' metasenv subst context arg ugraph in
let fresh_name =
FreshNamesGenerator.mk_fresh_name ~subst
- metasenv context (Cic.Name "Heta") ~typ:argty
+ metasenv context (Cic.Name "Hbeta") ~typ:argty
in
let subst,metasenv,t',ugraph2 = aux metasenv subst 0 context t ugraph1 in
- subst, metasenv, C.Lambda (fresh_name,argty,t'), ugraph2
+ let t'' = eta_reduce (C.Lambda (fresh_name,argty,t')) t' t in
+ subst, metasenv, t'', ugraph2
+in profiler_beta_expand.HExtlib.profile foo ()
and beta_expand_many test_equality_only metasenv subst context t args ugraph =
let t1 = deref subst t1 in
let t2 = deref subst t2 in
let b,ugraph =
+let foo () =
R.are_convertible ~subst ~metasenv context t1 t2 ugraph
+in profiler_are_convertible.HExtlib.profile foo ()
in
if b then
subst, metasenv, ugraph
with
Uncertain _
| UnificationFailure _ ->
-debug_print ("restringo Meta n." ^ (string_of_int n) ^ "on variable n." ^ (string_of_int j));
+debug_print (lazy ("restringo Meta n." ^ (string_of_int n) ^ "on variable n." ^ (string_of_int j)));
let metasenv, subst =
CicMetaSubst.restrict
subst [(n,j)] metasenv in
with
Exit ->
raise
- (UnificationFailure "1")
+ (UnificationFailure (lazy "1"))
(*
(sprintf
"Error trying to unify %s with %s: the algorithm tried to check whether the two substitutions are convertible; if they are not, it tried to unify the two substitutions. No restriction was attempted."
(CicMetaSubst.ppterm subst t2))) *)
| Invalid_argument _ ->
raise
- (UnificationFailure "2"))
+ (UnificationFailure (lazy "2")))
(*
(sprintf
"Error trying to unify %s with %s: the lengths of the two local contexts do not match."
test_equality_only
subst context metasenv tyt (S.subst_meta l meta_type) ugraph1
with
- UnificationFailure msg
- | Uncertain msg ->
- (* debug_print msg; *)raise (UnificationFailure msg)
+ UnificationFailure _ as e -> raise e
+ | Uncertain msg -> raise (UnificationFailure msg)
| AssertFailure _ ->
- debug_print "siamo allo huge hack";
+ debug_print (lazy "siamo allo huge hack");
(* TODO huge hack!!!!
* we keep on unifying/refining in the hope that
* the problem will be eventually solved.
fo_unif_subst_exp_named_subst test_equality_only subst context metasenv
exp_named_subst1 exp_named_subst2 ugraph
else
- raise (UnificationFailure "3")
- (* (sprintf
+ raise (UnificationFailure (lazy
+ (sprintf
"Can't unify %s with %s due to different constants"
(CicMetaSubst.ppterm subst t1)
- (CicMetaSubst.ppterm subst t2))) *)
+ (CicMetaSubst.ppterm subst t2))))
| C.MutInd (uri1,i1,exp_named_subst1),C.MutInd (uri2,i2,exp_named_subst2) ->
if UriManager.eq uri1 uri2 && i1 = i2 then
fo_unif_subst_exp_named_subst
test_equality_only
subst context metasenv exp_named_subst1 exp_named_subst2 ugraph
else
- raise (UnificationFailure "4")
+ raise (UnificationFailure (lazy "4"))
(* (sprintf
"Can't unify %s with %s due to different inductive principles"
(CicMetaSubst.ppterm subst t1)
test_equality_only
subst context metasenv exp_named_subst1 exp_named_subst2 ugraph
else
- raise (UnificationFailure "5")
+ raise (UnificationFailure (lazy "5"))
(* (sprintf
"Can't unify %s with %s due to different inductive constructors"
(CicMetaSubst.ppterm subst t1)
test_equality_only subst context metasenv t1 t2 ugraph)
(subst,metasenv,ugraph) l1 l2
with (Invalid_argument msg) ->
- raise (UnificationFailure msg))
+ raise (UnificationFailure (lazy msg)))
| C.Meta (i,l)::args, _ when not(exists_a_meta args) ->
(* we verify that none of the args is a Meta,
since beta expanding with respoect to a metavariable
) (subst'',metasenv'',ugraph2) pl1 pl2
with
Invalid_argument _ ->
- raise (UnificationFailure "6"))
+ raise (UnificationFailure (lazy "6.1")))
(* (sprintf
"Error trying to unify %s with %s: the number of branches is not the same."
(CicMetaSubst.ppterm subst t1)
if t1 = t2 then
subst, metasenv,ugraph
else
- raise (UnificationFailure "6")
- (* (sprintf
+ raise (UnificationFailure (lazy
+ (sprintf
"Can't unify %s with %s because they are not convertible"
(CicMetaSubst.ppterm subst t1)
- (CicMetaSubst.ppterm subst t2))) *)
+ (CicMetaSubst.ppterm subst t2))))
+ | (C.Appl (C.Meta(i,l)::args),t2) when not(exists_a_meta args) ->
+ let subst,metasenv,beta_expanded,ugraph1 =
+ beta_expand_many
+ test_equality_only metasenv subst context t2 args ugraph
+ in
+ fo_unif_subst test_equality_only subst context metasenv
+ (C.Meta (i,l)) beta_expanded ugraph1
+ | (t1,C.Appl (C.Meta(i,l)::args)) when not(exists_a_meta args) ->
+ let subst,metasenv,beta_expanded,ugraph1 =
+ beta_expand_many
+ test_equality_only metasenv subst context t1 args ugraph
+ in
+ fo_unif_subst test_equality_only subst context metasenv
+ beta_expanded (C.Meta (i,l)) ugraph1
| (C.Sort _ ,_) | (_, C.Sort _)
| (C.Const _, _) | (_, C.Const _)
| (C.MutInd _, _) | (_, C.MutInd _)
if b then
subst, metasenv, ugraph1
else
- raise (* (UnificationFailure "7") *)
- (UnificationFailure (sprintf
+ raise
+ (UnificationFailure (lazy (sprintf
"Can't unify %s with %s because they are not convertible"
(CicMetaSubst.ppterm subst t1)
- (CicMetaSubst.ppterm subst t2)))
- | (C.Appl (C.Meta(i,l)::args),t2) when not(exists_a_meta args) ->
- let subst,metasenv,beta_expanded,ugraph1 =
- beta_expand_many
- test_equality_only metasenv subst context t2 args ugraph
- in
- fo_unif_subst test_equality_only subst context metasenv
- (C.Meta (i,l)) beta_expanded ugraph1
- | (t1,C.Appl (C.Meta(i,l)::args)) when not(exists_a_meta args) ->
- let subst,metasenv,beta_expanded,ugraph1 =
- beta_expand_many
- test_equality_only metasenv subst context t1 args ugraph
- in
- fo_unif_subst test_equality_only subst context metasenv
- beta_expanded (C.Meta (i,l)) ugraph1
+ (CicMetaSubst.ppterm subst t2))))
| (C.Prod _, t2) ->
let t2' = R.whd ~subst context t2 in
(match t2' with
C.Prod _ ->
fo_unif_subst test_equality_only
subst context metasenv t1 t2' ugraph
- | _ -> raise (UnificationFailure "8"))
+ | _ -> raise (UnificationFailure (lazy "8")))
| (t1, C.Prod _) ->
let t1' = R.whd ~subst context t1 in
(match t1' with
subst context metasenv t1' t2 ugraph
| _ -> (* raise (UnificationFailure "9")) *)
raise
- (UnificationFailure (sprintf
+ (UnificationFailure (lazy (sprintf
"Can't unify %s with %s because they are not convertible"
(CicMetaSubst.ppterm subst t1)
- (CicMetaSubst.ppterm subst t2))))
+ (CicMetaSubst.ppterm subst t2)))))
| (_,_) ->
- let b,ugraph1 =
- R.are_convertible ~subst ~metasenv context t1 t2 ugraph
- in
- if b then
- subst, metasenv, ugraph1
- else
- raise (UnificationFailure "10")
- (* (sprintf
- "Can't unify %s with %s because they are not convertible"
- (CicMetaSubst.ppterm subst t1)
- (CicMetaSubst.ppterm subst t2))) *)
+ raise (UnificationFailure (lazy "10"))
+ (* (sprintf
+ "Can't unify %s with %s because they are not convertible"
+ (CicMetaSubst.ppterm subst t1)
+ (CicMetaSubst.ppterm subst t2))) *)
and fo_unif_subst_exp_named_subst test_equality_only subst context metasenv
exp_named_subst1 exp_named_subst2 ugraph
UriManager.string_of_uri uri ^ " := " ^ (CicMetaSubst.ppterm subst t)
) ens)
in
- raise (UnificationFailure (sprintf
- "Error trying to unify the two explicit named substitutions (local contexts) %s and %s: their lengths is different." (print_ens exp_named_subst1) (print_ens exp_named_subst2)))
+ raise (UnificationFailure (lazy (sprintf
+ "Error trying to unify the two explicit named substitutions (local contexts) %s and %s: their lengths is different." (print_ens exp_named_subst1) (print_ens exp_named_subst2))))
(* A substitution is a (int * Cic.term) list that associates a *)
(* metavariable i with its body. *)
let fo_unif metasenv context t1 t2 ugraph =
fo_unif_subst false [] context metasenv t1 t2 ugraph ;;
+let enrich_msg msg subst context metasenv t1 t2 ugraph =
+ lazy (
+ if verbose then
+ sprintf "[Verbose] Unification error unifying %s of type %s with %s of type %s in context\n%s\nand metasenv\n%s\nand substitution\n%s\nbecause %s"
+ (CicMetaSubst.ppterm subst t1)
+ (try
+ let ty_t1,_ = type_of_aux' metasenv subst context t1 ugraph in
+ CicPp.ppterm ty_t1
+ with
+ | UnificationFailure s
+ | Uncertain s
+ | AssertFailure s -> sprintf "MALFORMED(t1): \n<BEGIN>%s\n<END>" (Lazy.force s))
+ (CicMetaSubst.ppterm subst t2)
+ (try
+ let ty_t2,_ = type_of_aux' metasenv subst context t2 ugraph in
+ CicPp.ppterm ty_t2
+ with
+ | UnificationFailure s
+ | Uncertain s
+ | AssertFailure s -> sprintf "MALFORMED(t2): \n<BEGIN>%s\n<END>" (Lazy.force s))
+ (CicMetaSubst.ppcontext subst context)
+ (CicMetaSubst.ppmetasenv subst metasenv)
+ (CicMetaSubst.ppsubst subst) (Lazy.force msg)
+ else
+ sprintf "Unification error unifying %s of type %s with %s of type %s in context\n%s\nand metasenv\n%s\nbecause %s"
+ (CicMetaSubst.ppterm_in_context subst t1 context)
+ (try
+ let ty_t1,_ = type_of_aux' metasenv subst context t1 ugraph in
+ CicMetaSubst.ppterm_in_context subst ty_t1 context
+ with
+ | UnificationFailure s
+ | Uncertain s
+ | AssertFailure s -> sprintf "MALFORMED(t1): \n<BEGIN>%s\n<END>" (Lazy.force s))
+ (CicMetaSubst.ppterm_in_context subst t2 context)
+ (try
+ let ty_t2,_ = type_of_aux' metasenv subst context t2 ugraph in
+ CicMetaSubst.ppterm_in_context subst ty_t2 context
+ with
+ | UnificationFailure s
+ | Uncertain s
+ | AssertFailure s -> sprintf "MALFORMED(t2): \n<BEGIN>%s\n<END>" (Lazy.force s))
+ (CicMetaSubst.ppcontext subst context)
+ (CicMetaSubst.ppmetasenv subst metasenv)
+ (Lazy.force msg)
+ )
+
let fo_unif_subst subst context metasenv t1 t2 ugraph =
- let enrich_msg msg = (* "bella roba" *)
- sprintf "Unification error unifying %s of type %s with %s of type %s in context\n%s\nand metasenv\n%s\nand substitution\n%s\nbecause %s"
- (CicMetaSubst.ppterm subst t1)
- (try
- let ty_t1,_ = type_of_aux' metasenv subst context t1 ugraph in
- CicPp.ppterm ty_t1
- with _ -> "MALFORMED")
- (CicMetaSubst.ppterm subst t2)
- (try
- let ty_t2,_ = type_of_aux' metasenv subst context t2 ugraph in
- CicPp.ppterm ty_t2
- with _ -> "MALFORMED")
- (CicMetaSubst.ppcontext subst context)
- (CicMetaSubst.ppmetasenv metasenv subst)
- (CicMetaSubst.ppsubst subst) msg
- in
try
fo_unif_subst false subst context metasenv t1 t2 ugraph
with
- | AssertFailure msg -> raise (AssertFailure (enrich_msg msg))
- | UnificationFailure msg -> raise (UnificationFailure (enrich_msg msg))
+ | AssertFailure msg ->
+ raise (AssertFailure (enrich_msg msg subst context metasenv t1 t2 ugraph))
+ | UnificationFailure msg ->
+ raise (UnificationFailure (enrich_msg msg subst context metasenv t1 t2 ugraph))
;;
-
projects / helm.git / blobdiff