end
;;
-type env = Cic.term list;;
-type stack = Cic.term list;;
-type config =
- int * env * Cic.term Cic.explicit_named_substitution * Cic.term * stack;;
+module type Strategy =
+ sig
+ type stack_term
+ type env_term
+ type ens_term
+ val to_stack : Cic.term -> stack_term
+ val to_stack_list : Cic.term list -> stack_term list
+ val to_env : Cic.term -> env_term
+ val to_ens : Cic.term -> ens_term
+ val from_stack :
+ unwind:
+ (int -> env_term list -> ens_term Cic.explicit_named_substitution ->
+ Cic.term -> Cic.term) ->
+ stack_term -> Cic.term
+ val from_stack_list :
+ unwind:
+ (int -> env_term list -> ens_term Cic.explicit_named_substitution ->
+ Cic.term -> Cic.term) ->
+ stack_term list -> Cic.term list
+ val from_env : env_term -> Cic.term
+ val from_ens : ens_term -> Cic.term
+ val stack_to_env :
+ reduce:
+ (int * env_term list * ens_term Cic.explicit_named_substitution *
+ Cic.term * stack_term list -> Cic.term) ->
+ unwind:
+ (int -> env_term list -> ens_term Cic.explicit_named_substitution ->
+ Cic.term -> Cic.term) ->
+ stack_term -> env_term
+ val compute_to_env :
+ reduce:
+ (int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term *
+ stack_term list -> Cic.term) ->
+ unwind:
+ (int -> env_term list -> ens_term Cic.explicit_named_substitution ->
+ Cic.term -> Cic.term) ->
+ int -> env_term list -> ens_term Cic.explicit_named_substitution ->
+ Cic.term -> env_term
+ val compute_to_stack :
+ reduce:
+ (int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term *
+ stack_term list -> Cic.term) ->
+ unwind:
+ (int -> env_term list -> ens_term Cic.explicit_named_substitution ->
+ Cic.term -> Cic.term) ->
+ int -> env_term list -> ens_term Cic.explicit_named_substitution ->
+ Cic.term -> stack_term
+ end
+;;
-let call_by_name = false;; (* false means call_by_value *)
+module CallByNameStrategy =
+ struct
+ type stack_term = Cic.term
+ type env_term = Cic.term
+ type ens_term = Cic.term
+ let to_stack v = v
+ let to_stack_list l = l
+ let to_env v = v
+ let to_ens v = v
+ let from_stack ~unwind v = v
+ let from_stack_list ~unwind l = l
+ let from_env v = v
+ let from_ens v = v
+ let stack_to_env ~reduce ~unwind v = v
+ let compute_to_stack ~reduce ~unwind k e ens t = unwind k e ens t
+ let compute_to_env ~reduce ~unwind k e ens t = unwind k e ens t
+ end
+;;
-(* 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 (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) ->
+module CallByValueStrategy =
+ struct
+ type stack_term = Cic.term
+ type env_term = Cic.term
+ type ens_term = Cic.term
+ let to_stack v = v
+ let to_stack_list l = l
+ let to_env v = v
+ let to_ens v = v
+ let from_stack ~unwind v = v
+ let from_stack_list ~unwind l = l
+ let from_env v = v
+ let from_ens v = v
+ let stack_to_env ~reduce ~unwind v = v
+ let compute_to_stack ~reduce ~unwind k e ens t = reduce (k,e,ens,t,[])
+ let compute_to_env ~reduce ~unwind k e ens t = reduce (k,e,ens,t,[])
+ end
+;;
+
+module CallByValueStrategyByNameOnConstants =
+ struct
+ type stack_term = Cic.term
+ type env_term = Cic.term
+ type ens_term = Cic.term
+ let to_stack v = v
+ let to_stack_list l = l
+ let to_env v = v
+ let to_ens v = v
+ let from_stack ~unwind v = v
+ let from_stack_list ~unwind l = l
+ let from_env v = v
+ let from_ens v = v
+ let stack_to_env ~reduce ~unwind v = v
+ let compute_to_stack ~reduce ~unwind k e ens =
+ function
+ 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) ->
(*
prerr_endline ("%%%%%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 (List.assq uri ens)
- else
- let params =
- (match CicEnvironment.get_obj uri 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 =
- (match CicEnvironment.get_obj uri 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 =
- (match CicEnvironment.get_obj uri 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 =
- (match CicEnvironment.get_obj uri 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 t) ::
- (filter_and_lift (uri::already_instantiated) tl)
- | _::tl -> filter_and_lift already_instantiated tl
+ if List.exists (function (uri',_) -> UriManager.eq uri' uri) ens then
+ CicSubstitution.lift m (RS.from_ens (List.assq uri ens))
+ else
+ let params =
+ (match CicEnvironment.get_obj uri 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 =
+ (match CicEnvironment.get_obj uri 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 =
+ (match CicEnvironment.get_obj uri 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 =
+ (match CicEnvironment.get_obj uri 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 ->
+ | (uri,_)::tl ->
prerr_endline ("---- SKIPPO " ^ UriManager.string_of_uri uri) ;
if List.for_all (function (uri',_) -> not (UriManager.eq uri uri')) exp_named_subst' then prerr_endline "---- OK1" ;
prerr_endline ("++++ uri " ^ UriManager.string_of_uri uri ^ " not in " ^ String.concat " ; " (List.map UriManager.string_of_uri params)) ;
if List.mem uri params then prerr_endline "---- 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 reduce context : config -> Cic.term =
- let module C = Cic in
- let module S = CicSubstitution in
- let rec reduce =
- function
- (k, e, _, (C.Rel n as t), s) ->
- let d =
- try
- Some (List.nth e (n-1))
- with
- _ ->
+ 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 reduce context : config -> Cic.term =
+ let module C = Cic in
+ let module S = CicSubstitution in
+ let rec reduce =
+ function
+ (k, e, _, (C.Rel n as t), s) ->
+ let d =
try
- begin
- match List.nth context (n - 1 - k) with
- None -> assert false
- | Some (_,C.Decl _) -> None
- | Some (_,C.Def x) -> Some (S.lift (n - k) x)
- end
+ Some (RS.from_env (List.nth e (n-1)))
with
- _ -> None
- in
- (match d with
- Some t' -> reduce (0,[],[],t',s)
- | None ->
- if s = [] then
- C.Rel (n-k)
- else C.Appl (C.Rel (n-k)::s)
- )
- | (k, e, ens, (C.Var (uri,exp_named_subst) as t), s) ->
- if List.exists (function (uri',_) -> UriManager.eq uri' uri) ens then
- reduce (0, [], [], List.assq uri ens, s)
- else
+ _ ->
+ try
+ begin
+ match List.nth context (n - 1 - k) with
+ None -> assert false
+ | Some (_,C.Decl _) -> None
+ | Some (_,C.Def x) -> Some (S.lift (n - k) x)
+ end
+ with
+ _ -> None
+ in
+ (match d with
+ Some t' -> reduce (0,[],[],t',s)
+ | None ->
+ if s = [] then
+ C.Rel (n-k)
+ else C.Appl (C.Rel (n-k)::(RS.from_stack_list ~unwind s))
+ )
+ | (k, e, ens, (C.Var (uri,exp_named_subst) as t), s) ->
+ if List.exists (function (uri',_) -> UriManager.eq uri' uri) ens then
+ reduce (0, [], [], RS.from_ens (List.assq uri ens), s)
+ else
+ (match CicEnvironment.get_obj uri with
+ C.Constant _ -> raise ReferenceToConstant
+ | C.CurrentProof _ -> raise ReferenceToCurrentProof
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
+ | C.Variable (_,None,_,_) ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else
+ C.Appl (t'::(RS.from_stack_list ~unwind s))
+ | C.Variable (_,Some body,_,_) ->
+ let ens' = push_exp_named_subst k e ens exp_named_subst in
+ reduce (0, [], ens', body, s)
+ )
+ | (k, e, ens, (C.Meta _ as t), s) ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else C.Appl (t'::(RS.from_stack_list ~unwind s))
+ | (k, e, _, (C.Sort _ as t), s) -> t (* s should be empty *)
+ | (k, e, _, (C.Implicit as t), s) -> t (* s should be empty *)
+ | (k, e, ens, (C.Cast (te,ty) as t), s) ->
+ reduce (k, e, ens, te, s) (* s should be empty *)
+ | (k, e, ens, (C.Prod _ as t), s) ->
+ unwind k e ens t (* s should be empty *)
+ | (k, e, ens, (C.Lambda (_,_,t) as t'), []) -> unwind k e ens t'
+ | (k, e, ens, C.Lambda (_,_,t), p::s) ->
+ reduce (k+1, (RS.stack_to_env ~reduce ~unwind p)::e, ens, t,s)
+ | (k, e, ens, (C.LetIn (_,m,t) as t'), s) ->
+ let m' = RS.compute_to_env ~reduce ~unwind k e ens m in
+ reduce (k+1, m'::e, ens, t, s)
+ | (_, _, _, C.Appl [], _) -> raise (Impossible 1)
+ | (k, e, ens, C.Appl (he::tl), s) ->
+ let tl' =
+ List.map
+ (function t -> RS.compute_to_stack ~reduce ~unwind k e ens t) tl
+ in
+ reduce (k, e, ens, he, (List.append tl') s)
+ (* CSC: Old Dead Code
+ | (k, e, ens, C.Appl ((C.Lambda _ as he)::tl), s)
+ | (k, e, ens, C.Appl ((C.Const _ as he)::tl), s)
+ | (k, e, ens, C.Appl ((C.MutCase _ as he)::tl), s)
+ | (k, e, ens, C.Appl ((C.Fix _ as he)::tl), s) ->
+ (* strict evaluation, but constants are NOT unfolded *)
+ let red =
+ function
+ C.Const _ as t -> unwind k e ens t
+ | t -> reduce (k,e,ens,t,[])
+ in
+ let tl' = List.map red tl in
+ reduce (k, e, ens, he , List.append tl' s)
+ | (k, e, ens, C.Appl l, s) ->
+ C.Appl (List.append (List.map (unwind k e ens) l) s)
+ *)
+ | (k, e, ens, (C.Const (uri,exp_named_subst) as t), s) ->
(match CicEnvironment.get_obj uri with
- C.Constant _ -> raise ReferenceToConstant
- | C.CurrentProof _ -> raise ReferenceToCurrentProof
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- | C.Variable (_,None,_,_) ->
+ C.Constant (_,Some body,_,_) ->
+ let ens' = push_exp_named_subst k e ens exp_named_subst in
+ (* constants are closed *)
+ reduce (0, [], ens', body, s)
+ | C.Constant (_,None,_,_) ->
let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- | C.Variable (_,Some body,_,_) ->
+ if s = [] then t' else C.Appl (t'::(RS.from_stack_list ~unwind s))
+ | C.Variable _ -> raise ReferenceToVariable
+ | C.CurrentProof (_,_,body,_,_) ->
let ens' = push_exp_named_subst k e ens exp_named_subst in
+ (* constants are closed *)
reduce (0, [], ens', body, s)
+ | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
)
- | (k, e, ens, (C.Meta _ as t), s) ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- | (k, e, _, (C.Sort _ as t), s) -> t (* s should be empty *)
- | (k, e, _, (C.Implicit as t), s) -> t (* s should be empty *)
- | (k, e, ens, (C.Cast (te,ty) as t), s) ->
- reduce (k, e, ens, te, s) (* s should be empty *)
- | (k, e, ens, (C.Prod _ as t), s) -> unwind k e ens t (* s should be empty *)
- | (k, e, ens, (C.Lambda (_,_,t) as t'), []) -> unwind k e ens t'
- | (k, e, ens, C.Lambda (_,_,t), p::s) ->
- reduce (k+1, p::e, ens, t,s)
- (* lazy *)
- | (k, e, ens, (C.LetIn (_,m,t) as t'), s) when call_by_name ->
- let m' = unwind k e ens m in reduce (k+1, m'::e, ens, t, s)
- (* strict *)
- | (k, e, ens, (C.LetIn (_,m,t) as t'), s) ->
- let m' = reduce (k,e,ens,m,[]) in reduce (k+1,m'::e,ens,t,s)
- | (_, _, _, C.Appl [], _) -> raise (Impossible 1)
- (* lazy *)
- | (k, e, ens, C.Appl (he::tl), s) when call_by_name ->
- let tl' = List.map (unwind k e ens) tl in
- reduce (k, e, ens, he, (List.append tl' s))
- (* strict, but constants are NOT unfolded *)
- | (k, e, ens, C.Appl (he::tl), s) ->
- (* constants are NOT unfolded *)
- let red =
- function
- C.Const _ as t -> unwind k e ens t
- | t -> reduce (k,e,ens,t,[])
- in
- let tl' = List.map red tl in
- reduce (k, e, ens, he , List.append tl' s)
-(*
- | (k, e, ens, C.Appl ((C.Lambda _ as he)::tl), s)
- | (k, e, ens, C.Appl ((C.Const _ as he)::tl), s)
- | (k, e, ens, C.Appl ((C.MutCase _ as he)::tl), s)
- | (k, e, ens, C.Appl ((C.Fix _ as he)::tl), s) ->
-(* strict evaluation, but constants are NOT unfolded *)
- let red =
- function
- C.Const _ as t -> unwind k e ens t
- | t -> reduce (k,e,ens,t,[])
- in
- let tl' = List.map red tl in
- reduce (k, e, ens, he , List.append tl' s)
- | (k, e, ens, C.Appl l, s) ->
- C.Appl (List.append (List.map (unwind k e ens) l) s)
-*)
- | (k, e, ens, (C.Const (uri,exp_named_subst) as t), s) ->
- (match CicEnvironment.get_obj uri with
- C.Constant (_,Some body,_,_) ->
- let ens' = push_exp_named_subst k e ens exp_named_subst in
- (* constants are closed *)
- reduce (0, [], ens', body, s)
- | C.Constant (_,None,_,_) ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- | C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof (_,_,body,_,_) ->
- let ens' = push_exp_named_subst k e ens exp_named_subst in
- (* constants are closed *)
- reduce (0, [], ens', body, s)
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- )
- | (k, e, ens, (C.MutInd _ as t),s) ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- | (k, e, ens, (C.MutConstruct _ as t),s) ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- | (k, e, ens, (C.MutCase (mutind,i,_,term,pl) as t),s) ->
- 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
- (* the term is the result of a reduction; *)
- (* so it is already unwinded. *)
- reduce (0,[],[],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
- (* the term is the result of a reduction; *)
- (* so it is already unwinded. *)
- reduce (0,[],[],body',tl)
- | t -> t
- in
- (match decofix (reduce (k,e,ens,term,[])) with
- C.MutConstruct (_,_,j,_) ->
- reduce (k, e, ens, (List.nth pl (j-1)), s)
- | C.Appl (C.MutConstruct (_,_,j,_) :: tl) ->
- let (arity, r) =
- match CicEnvironment.get_obj mutind with
- C.InductiveDefinition (tl,ingredients,r) ->
- let (_,_,arity,_) = List.nth tl i in
- (arity,r)
- | _ -> raise WrongUriToInductiveDefinition
- in
- let ts =
- let num_to_eat = r in
- let rec eat_first =
- function
- (0,l) -> l
- | (n,he::tl) when n > 0 -> eat_first (n - 1, tl)
- | _ -> raise (Impossible 5)
+ | (k, e, ens, (C.MutInd _ as t),s) ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else C.Appl (t'::(RS.from_stack_list ~unwind s))
+ | (k, e, ens, (C.MutConstruct _ as t),s) ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else C.Appl (t'::(RS.from_stack_list ~unwind s))
+ | (k, e, ens, (C.MutCase (mutind,i,_,term,pl) as t),s) ->
+ 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
+ (* the term is the result of a reduction; *)
+ (* so it is already unwinded. *)
+ reduce (0,[],[],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
+ (* the term is the result of a reduction; *)
+ (* so it is already unwinded. *)
+ reduce (0,[],[],body',RS.to_stack_list tl)
+ | t -> t
+ in
+ (match decofix (reduce (k,e,ens,term,[])) with
+ C.MutConstruct (_,_,j,_) ->
+ reduce (k, e, ens, (List.nth pl (j-1)), s)
+ | C.Appl (C.MutConstruct (_,_,j,_) :: tl) ->
+ let (arity, r) =
+ match CicEnvironment.get_obj mutind with
+ C.InductiveDefinition (tl,ingredients,r) ->
+ let (_,_,arity,_) = List.nth tl i in
+ (arity,r)
+ | _ -> raise WrongUriToInductiveDefinition
+ in
+ let ts =
+ let num_to_eat = r 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
- eat_first (num_to_eat,tl)
- in
- (* ts are already unwinded because they are a sublist of tl *)
- reduce (k, e, ens, (List.nth pl (j-1)),(ts@s))
- | C.Cast _ | C.Implicit ->
- raise (Impossible 2) (* we don't trust our whd ;-) *)
- | _ ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- )
- | (k, e, ens, (C.Fix (i,fl) as t), s) ->
- let (_,recindex,_,body) = List.nth fl i in
- let recparam =
- try
- Some (List.nth s recindex)
- with
- _ -> None
- in
- (match recparam with
- Some recparam ->
- (match reduce (0,[],[],recparam,[]) with
- (* match recparam with *)
- C.MutConstruct _
- | C.Appl ((C.MutConstruct _)::_) ->
- (* OLD
- let body' =
- let counter = ref (List.length fl) in
- List.fold_right
- (fun _ -> decr counter ; S.subst (C.Fix (!counter,fl)))
- fl
- body
- in
- reduce (k, e, ens, body', s) *)
- (* NEW *)
- let leng = List.length fl in
- let fl' =
- let unwind_fl (name,recindex,typ,body) =
- (name,recindex,unwind k e ens typ,
- unwind' leng k e ens body)
- in
- List.map unwind_fl fl
- in
- let new_env =
- let counter = ref 0 in
- let rec build_env e =
- if !counter = leng then e
- else
- (incr counter ; build_env ((C.Fix (!counter -1, fl'))::e))
+ (* ts are already unwinded because they are a sublist of tl *)
+ reduce (k, e, ens, (List.nth pl (j-1)), (RS.to_stack_list ts)@s)
+ | C.Cast _ | C.Implicit ->
+ raise (Impossible 2) (* we don't trust our whd ;-) *)
+ | _ ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else C.Appl (t'::(RS.from_stack_list ~unwind s))
+ )
+ | (k, e, ens, (C.Fix (i,fl) as t), s) ->
+ let (_,recindex,_,body) = List.nth fl i in
+ let recparam =
+ try
+ Some (RS.from_stack ~unwind (List.nth s recindex))
+ with
+ _ -> None
+ in
+ (match recparam with
+ Some recparam ->
+ (match reduce (0,[],[],recparam,[]) with
+ (* match recparam with *)
+ C.MutConstruct _
+ | C.Appl ((C.MutConstruct _)::_) ->
+ (* OLD
+ let body' =
+ let counter = ref (List.length fl) in
+ List.fold_right
+ (fun _ -> decr counter ; S.subst (C.Fix (!counter,fl)))
+ fl
+ body
+ in
+ reduce (k, e, ens, body', s) *)
+ (* NEW *)
+ let leng = List.length fl in
+ let fl' =
+ let unwind_fl (name,recindex,typ,body) =
+ (name,recindex,unwind k e ens typ,
+ unwind' leng k e ens body)
+ in
+ List.map unwind_fl fl
in
- build_env e
- in
- reduce (k+leng, new_env, ens, body, s)
- | _ ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- )
- | None ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- )
- | (k, e, ens, (C.CoFix (i,fl) as t),s) ->
- let t' = unwind k e ens t in
- if s = [] then t' else C.Appl (t'::s)
- and push_exp_named_subst k e ens =
- function
- [] -> ens
- | (uri,t)::tl -> push_exp_named_subst k e ((uri,unwind k e ens t)::ens) tl
- in
- reduce
-;;
-
-let rec whd context t = reduce context (0, [], [], t, []);;
-
+ let new_env =
+ let counter = ref 0 in
+ let rec build_env e =
+ if !counter = leng then e
+ else
+ (incr counter ;
+ build_env ((RS.to_env (C.Fix (!counter -1, fl')))::e))
+ in
+ build_env e
+ in
+ reduce (k+leng, new_env, ens, body, s)
+ | _ ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else
+ C.Appl (t'::(RS.from_stack_list ~unwind s))
+ )
+ | None ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else
+ C.Appl (t'::(RS.from_stack_list ~unwind s))
+ )
+ | (k, e, ens, (C.CoFix (i,fl) as t),s) ->
+ let t' = unwind k e ens t in
+ if s = [] then t' else C.Appl (t'::(RS.from_stack_list ~unwind s))
+ and push_exp_named_subst k e ens =
+ function
+ [] -> ens
+ | (uri,t)::tl ->
+ push_exp_named_subst k e ((uri,RS.to_ens (unwind k e ens t))::ens) tl
+ in
+ reduce
+ ;;
+
+ let rec whd context t = reduce context (0, [], [], t, []);;
+
(* DEBUGGING ONLY
let whd context t =
let res = whd context t in
res
;;
*)
+ end
+;;
+
+
+(*
+module R = Reduction CallByNameStrategy;;
+module R = Reduction CallByValueStrategy;;
+module R = Reduction CallByValueStrategyByNameOnConstants;;
+module R = Reduction LazyCallByValueStrategy;;
+module R = Reduction LazyCallByValueStrategyByNameOnConstants;;
+module R = Reduction LazyCallByNameStrategy;;
+module R = Reduction
+ LazyCallByValueByNameOnConstantsWhenFromStack_ByNameStrategyWhenFromEnvOrEns;;
+module R = Reduction ClosuresOnStackByValueFromEnvOrEnsStrategy;;
+module R = Reduction
+ ClosuresOnStackByValueFromEnvOrEnsByNameOnConstantsStrategy;;
+*)
+module R = Reduction ClosuresOnStackByValueFromEnvOrEnsStrategy;;
+let whd = R.whd;;
(* t1, t2 must be well-typed *)
let are_convertible =