- C.Rel _ as t -> if l = [] then t else C.Appl (t::l)
- | C.Var uri as t ->
- (match CicEnvironment.get_cooked_obj uri 0 with
- C.Definition _ -> raise ReferenceToDefinition
- | C.Axiom _ -> raise ReferenceToAxiom
- | C.CurrentProof _ -> raise ReferenceToCurrentProof
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- | C.Variable (_,None,_) -> if l = [] then t else C.Appl (t::l)
- | C.Variable (_,Some body,_) -> whdaux l body
- )
- | C.Meta _ as t -> if l = [] then t else C.Appl (t::l)
- | C.Sort _ as t -> t (* l should be empty *)
- | C.Implicit as t -> t
- | C.Cast (te,ty) -> whdaux l te (*CSC E' GIUSTO BUTTARE IL CAST? *)
- | C.Prod _ as t -> t (* l should be empty *)
- | C.Lambda (name,s,t) as t' ->
- (match l with
- [] -> t'
- | he::tl -> whdaux tl (S.subst he t)
- (* when name is Anonimous the substitution should be superfluous *)
- )
- | C.LetIn (n,s,t) -> whdaux l (S.subst (whdaux [] s) t)
- | C.Appl (he::tl) -> whdaux (tl@l) he
- | C.Appl [] -> raise (Impossible 1)
- | C.Const (uri,cookingsno) as t ->
- (match CicEnvironment.get_cooked_obj uri cookingsno with
- C.Definition (_,body,_,_) -> whdaux l body
- | C.Axiom _ -> if l = [] then t else C.Appl (t::l)
- | C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof (_,_,body,_) -> whdaux l body
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- )
- | C.Abst _ as t -> t (*CSC l should be empty ????? *)
- | C.MutInd (uri,_,_) as t -> if l = [] then t else C.Appl (t::l)
- | C.MutConstruct (uri,_,_,_) as t -> if l = [] then t else C.Appl (t::l)
- | C.MutCase (mutind,cookingsno,i,_,term,pl) as t ->
- let decofix =
- function
- C.CoFix (i,fl) as t ->
- let (_,_,body) = List.nth fl i in
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
- fl
- body
- in
- whdaux [] body'
- | C.Appl (C.CoFix (i,fl) :: tl) ->
- let (_,_,body) = List.nth fl i in
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.CoFix (!counter,fl)))
- fl
- body
- in
- whdaux tl body'
- | t -> t
- in
- (match decofix (whdaux [] term) with
- C.MutConstruct (_,_,_,j) -> whdaux l (List.nth pl (j-1))
- | C.Appl (C.MutConstruct (_,_,_,j) :: tl) ->
- let (arity, r, num_ingredients) =
- match CicEnvironment.get_obj mutind with
- C.InductiveDefinition (tl,ingredients,r) ->
- let (_,_,arity,_) = List.nth tl i
- and num_ingredients =
- List.fold_right
- (fun (k,l) i ->
- if k < cookingsno then i + List.length l else i
- ) ingredients 0
- in
- (arity,r,num_ingredients)
- | _ -> raise WrongUriToInductiveDefinition
- in
- let ts =
- let num_to_eat = r + num_ingredients in
- let rec eat_first =
- function
- (0,l) -> l
- | (n,he::tl) when n > 0 -> eat_first (n - 1, tl)
- | _ -> raise (Impossible 5)
- in
- eat_first (num_to_eat,tl)
- in
- whdaux (ts@l) (List.nth pl (j-1))
- | C.Abst _| C.Cast _ | C.Implicit ->
- raise (Impossible 2) (* we don't trust our whd ;-) *)
- | _ -> t
- )
- | C.Fix (i,fl) as t ->
- let (_,recindex,_,body) = List.nth fl i in
- let recparam =
+ Cic.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[])
+ let compute_to_env ~reduce ~unwind k e ens =
+ function
+ Cic.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[])
+ end
+;;
+
+module LazyCallByValueStrategy =
+ struct
+ type stack_term = Cic.term lazy_t
+ type env_term = Cic.term lazy_t
+ type ens_term = Cic.term lazy_t
+ let to_stack v = lazy v
+ let to_stack_list l = List.map to_stack l
+ let to_env v = lazy v
+ let to_ens v = lazy v
+ let from_stack ~unwind v = Lazy.force v
+ let from_stack_list ~unwind l = List.map (from_stack ~unwind) l
+ let from_env v = Lazy.force v
+ let from_ens v = Lazy.force v
+ let stack_to_env ~reduce ~unwind v = v
+ let compute_to_stack ~reduce ~unwind k e ens t = lazy (reduce (k,e,ens,t,[]))
+ let compute_to_env ~reduce ~unwind k e ens t = lazy (reduce (k,e,ens,t,[]))
+ end
+;;
+
+module LazyCallByValueStrategyByNameOnConstants =
+ struct
+ type stack_term = Cic.term lazy_t
+ type env_term = Cic.term lazy_t
+ type ens_term = Cic.term lazy_t
+ let to_stack v = lazy v
+ let to_stack_list l = List.map to_stack l
+ let to_env v = lazy v
+ let to_ens v = lazy v
+ let from_stack ~unwind v = Lazy.force v
+ let from_stack_list ~unwind l = List.map (from_stack ~unwind) l
+ let from_env v = Lazy.force v
+ let from_ens v = Lazy.force v
+ let stack_to_env ~reduce ~unwind v = v
+ let compute_to_stack ~reduce ~unwind k e ens t =
+ lazy (
+ match t with
+ Cic.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[]))
+ let compute_to_env ~reduce ~unwind k e ens t =
+ lazy (
+ match t with
+ Cic.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[]))
+ end
+;;
+
+module LazyCallByNameStrategy =
+ struct
+ type stack_term = Cic.term lazy_t
+ type env_term = Cic.term lazy_t
+ type ens_term = Cic.term lazy_t
+ let to_stack v = lazy v
+ let to_stack_list l = List.map to_stack l
+ let to_env v = lazy v
+ let to_ens v = lazy v
+ let from_stack ~unwind v = Lazy.force v
+ let from_stack_list ~unwind l = List.map (from_stack ~unwind) l
+ let from_env v = Lazy.force v
+ let from_ens v = Lazy.force v
+ let stack_to_env ~reduce ~unwind v = v
+ let compute_to_stack ~reduce ~unwind k e ens t = lazy (unwind k e ens t)
+ let compute_to_env ~reduce ~unwind k e ens t = lazy (unwind k e ens t)
+ end
+;;
+
+module
+ LazyCallByValueByNameOnConstantsWhenFromStack_ByNameStrategyWhenFromEnvOrEns
+=
+ struct
+ type stack_term = reduce:bool -> Cic.term
+ type env_term = reduce:bool -> Cic.term
+ type ens_term = reduce:bool -> Cic.term
+ let to_stack v =
+ let value = lazy v in
+ fun ~reduce -> Lazy.force value
+ let to_stack_list l = List.map to_stack l
+ let to_env v =
+ let value = lazy v in
+ fun ~reduce -> Lazy.force value
+ let to_ens v =
+ let value = lazy v in
+ fun ~reduce -> Lazy.force value
+ let from_stack ~unwind v = (v ~reduce:false)
+ let from_stack_list ~unwind l = List.map (from_stack ~unwind) l
+ let from_env v = (v ~reduce:true)
+ let from_ens v = (v ~reduce:true)
+ let stack_to_env ~reduce ~unwind v = v
+ let compute_to_stack ~reduce ~unwind k e ens t =
+ let svalue =
+ lazy (
+ match t with
+ Cic.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[])
+ ) in
+ let lvalue =
+ lazy (unwind k e ens t)
+ in
+ fun ~reduce ->
+ if reduce then Lazy.force svalue else Lazy.force lvalue
+ let compute_to_env ~reduce ~unwind k e ens t =
+ let svalue =
+ lazy (
+ match t with
+ Cic.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[])
+ ) in
+ let lvalue =
+ lazy (unwind k e ens t)
+ in
+ fun ~reduce ->
+ if reduce then Lazy.force svalue else Lazy.force lvalue
+ end
+;;
+
+module ClosuresOnStackByValueFromEnvOrEnsStrategy =
+ struct
+ type stack_term =
+ int * Cic.term list * Cic.term Cic.explicit_named_substitution * Cic.term
+ type env_term = Cic.term
+ type ens_term = Cic.term
+ let to_stack v = (0,[],[],v)
+ let to_stack_list l = List.map to_stack l
+ let to_env v = v
+ let to_ens v = v
+ let from_stack ~unwind (k,e,ens,t) = unwind k e ens t
+ let from_stack_list ~unwind l = List.map (from_stack ~unwind) l
+ let from_env v = v
+ let from_ens v = v
+ let stack_to_env ~reduce ~unwind (k,e,ens,t) = reduce (k,e,ens,t,[])
+ let compute_to_env ~reduce ~unwind k e ens t =
+ unwind k e ens t
+ let compute_to_stack ~reduce ~unwind k e ens t = (k,e,ens,t)
+ end
+;;
+
+module ClosuresOnStackByValueFromEnvOrEnsByNameOnConstantsStrategy =
+ struct
+ type stack_term =
+ int * Cic.term list * Cic.term Cic.explicit_named_substitution * Cic.term
+ type env_term = Cic.term
+ type ens_term = Cic.term
+ let to_stack v = (0,[],[],v)
+ let to_stack_list l = List.map to_stack l
+ let to_env v = v
+ let to_ens v = v
+ let from_stack ~unwind (k,e,ens,t) = unwind k e ens t
+ let from_stack_list ~unwind l = List.map (from_stack ~unwind) l
+ let from_env v = v
+ let from_ens v = v
+ let stack_to_env ~reduce ~unwind (k,e,ens,t) =
+ match t with
+ Cic.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[])
+ let compute_to_env ~reduce ~unwind k e ens t =
+ unwind k e ens t
+ let compute_to_stack ~reduce ~unwind k e ens t = (k,e,ens,t)
+ end
+;;
+
+module Reduction(RS : Strategy) =
+ struct
+ type env = RS.env_term list
+ type ens = RS.ens_term Cic.explicit_named_substitution
+ type stack = RS.stack_term list
+ type config = int * env * ens * Cic.term * stack
+
+ (* k is the length of the environment e *)
+ (* m is the current depth inside the term *)
+ let unwind' m k e ens t =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ if k = 0 && ens = [] then
+ t
+ else
+ let rec unwind_aux m =
+ function
+ C.Rel n as t ->
+ if n <= m then t else
+ let d =
+ try
+ Some (RS.from_env (List.nth e (n-m-1)))
+ with _ -> None
+ in
+ (match d with
+ Some t' ->
+ if m = 0 then t' else S.lift m t'
+ | None -> C.Rel (n-k)
+ )
+ | C.Var (uri,exp_named_subst) ->
+(*
+debug_print (lazy ("%%%%%UWVAR " ^ String.concat " ; " (List.map (function (uri,t) -> UriManager.string_of_uri uri ^ " := " ^ CicPp.ppterm t) ens))) ;
+*)
+ if List.exists (function (uri',_) -> UriManager.eq uri' uri) ens then
+ CicSubstitution.lift m (RS.from_ens (List.assq uri ens))
+ else
+ let params =
+ let o,_ =
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
+ in
+ (match o with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.Variable (_,_,_,params,_) -> params
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ )
+ in
+ let exp_named_subst' =
+ substaux_in_exp_named_subst params exp_named_subst m
+ in
+ C.Var (uri,exp_named_subst')
+ | C.Meta (i,l) ->
+ let l' =
+ List.map
+ (function
+ None -> None
+ | Some t -> Some (unwind_aux m t)
+ ) l
+ in
+ C.Meta (i, l')
+ | C.Sort _ as t -> t
+ | C.Implicit _ as t -> t
+ | C.Cast (te,ty) -> C.Cast (unwind_aux m te, unwind_aux m ty) (*CSC ???*)
+ | C.Prod (n,s,t) -> C.Prod (n, unwind_aux m s, unwind_aux (m + 1) t)
+ | C.Lambda (n,s,t) -> C.Lambda (n, unwind_aux m s, unwind_aux (m + 1) t)
+ | C.LetIn (n,s,t) -> C.LetIn (n, unwind_aux m s, unwind_aux (m + 1) t)
+ | C.Appl l -> C.Appl (List.map (unwind_aux m) l)
+ | C.Const (uri,exp_named_subst) ->
+ let params =
+ let o,_ =
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
+ in
+ (match o with
+ C.Constant (_,_,_,params,_) -> params
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof (_,_,_,_,params,_) -> params
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ )
+ in
+ let exp_named_subst' =
+ substaux_in_exp_named_subst params exp_named_subst m
+ in
+ C.Const (uri,exp_named_subst')
+ | C.MutInd (uri,i,exp_named_subst) ->
+ let params =
+ let o,_ =
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
+ in
+ (match o with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition (_,params,_,_) -> params
+ )
+ in
+ let exp_named_subst' =
+ substaux_in_exp_named_subst params exp_named_subst m
+ in
+ C.MutInd (uri,i,exp_named_subst')
+ | C.MutConstruct (uri,i,j,exp_named_subst) ->
+ let params =
+ let o,_ =
+ CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
+ in
+ (match o with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition (_,params,_,_) -> params
+ )
+ in
+ let exp_named_subst' =
+ substaux_in_exp_named_subst params exp_named_subst m
+ in
+ C.MutConstruct (uri,i,j,exp_named_subst')
+ | C.MutCase (sp,i,outt,t,pl) ->
+ C.MutCase (sp,i,unwind_aux m outt, unwind_aux m t,
+ List.map (unwind_aux m) pl)
+ | C.Fix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,i,ty,bo) ->
+ (name, i, unwind_aux m ty, unwind_aux (m+len) bo))
+ fl
+ in
+ C.Fix (i, substitutedfl)
+ | C.CoFix (i,fl) ->
+ let len = List.length fl in
+ let substitutedfl =
+ List.map
+ (fun (name,ty,bo) -> (name, unwind_aux m ty, unwind_aux (m+len) bo))
+ fl
+ in
+ C.CoFix (i, substitutedfl)
+ and substaux_in_exp_named_subst params exp_named_subst' m =
+ (*CSC: Idea di Andrea di ordinare compatibilmente con l'ordine dei params
+ let ens' =
+ List.map (function (uri,t) -> uri, unwind_aux m t) exp_named_subst' @
+ (*CSC: qui liftiamo tutti gli ens anche se magari me ne servono la meta'!!! *)
+ List.map (function (uri,t) -> uri, CicSubstitution.lift m t) ens
+ in
+ let rec filter_and_lift =
+ function
+ [] -> []
+ | uri::tl ->
+ let r = filter_and_lift tl in
+ (try
+ (uri,(List.assq uri ens'))::r
+ with
+ Not_found -> r
+ )
+ in
+ filter_and_lift params
+ *)
+
+ (*CSC: invece di concatenare sarebbe meglio rispettare l'ordine dei params *)
+ (*CSC: e' vero???? una veloce prova non sembra confermare la teoria *)
+
+ (*CSC: codice copiato e modificato dalla cicSubstitution.subst_vars *)
+ (*CSC: codice altamente inefficiente *)
+ let rec filter_and_lift already_instantiated =
+ function
+ [] -> []
+ | (uri,t)::tl when
+ List.for_all
+ (function (uri',_)-> not (UriManager.eq uri uri')) exp_named_subst'
+ &&
+ not (List.mem uri already_instantiated)
+ &&
+ List.mem uri params
+ ->
+ (uri,CicSubstitution.lift m (RS.from_ens t)) ::
+ (filter_and_lift (uri::already_instantiated) tl)
+ | _::tl -> filter_and_lift already_instantiated tl
+(*
+ | (uri,_)::tl ->
+debug_print (lazy ("---- SKIPPO " ^ UriManager.string_of_uri uri)) ;
+if List.for_all (function (uri',_) -> not (UriManager.eq uri uri'))
+exp_named_subst' then debug_print (lazy "---- OK1") ;
+debug_print (lazy ("++++ uri " ^ UriManager.string_of_uri uri ^ " not in " ^ String.concat " ; " (List.map UriManager.string_of_uri params))) ;
+if List.mem uri params then debug_print (lazy "---- OK2") ;
+ filter_and_lift tl
+*)
+ in
+ List.map (function (uri,t) -> uri, unwind_aux m t) exp_named_subst' @
+ (filter_and_lift [] (List.rev ens))
+ in
+ unwind_aux m t
+ ;;
+
+ let unwind = unwind' 0;;
+
+(*
+ let unwind =
+ let profiler_unwind = HExtlib.profile ~enable:profile "are_convertible.unwind" in
+ fun k e ens t ->
+ profiler_unwind.HExtlib.profile (unwind k e ens) t
+ ;;
+*)
+
+ let reduce ~delta ?(subst = []) context : config -> Cic.term =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ let rec reduce =
+ function
+ (k, e, _, C.Rel n, s) ->
+ let d =