exception CicReductionInternalError;;
exception WrongUriToInductiveDefinition;;
+exception Impossible of int;;
+exception ReferenceToConstant;;
+exception ReferenceToVariable;;
+exception ReferenceToCurrentProof;;
+exception ReferenceToInductiveDefinition;;
let fdebug = ref 1;;
let debug t env s =
let rec debug_aux t i =
let module C = Cic in
let module U = UriManager in
- CicPp.ppobj (C.Variable ("DEBUG", None, t)) ^ "\n" ^ i
+ CicPp.ppobj (C.Variable ("DEBUG", None, t, [])) ^ "\n" ^ i
in
if !fdebug = 0 then
begin
end
;;
-exception Impossible of int;;
-exception ReferenceToDefinition;;
-exception ReferenceToAxiom;;
-exception ReferenceToVariable;;
-exception ReferenceToCurrentProof;;
-exception ReferenceToInductiveDefinition;;
+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
+;;
-type env = Cic.term list;;
-type stack = Cic.term list;;
-type config = int * env * Cic.term * stack;;
+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 t =
- let module C = Cic in
- let module S = CicSubstitution in
- if e = [] & k = 0 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 _ as t -> t
- | C.Meta (i,l) as t -> t
- | 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 _ as t -> t
- | C.MutInd _ as t -> t
- | C.MutConstruct _ as t -> t
- | C.MutCase (sp,cookingsno,i,outt,t,pl) ->
- C.MutCase (sp,cookingsno,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)
- in
- unwind_aux m t
- ;;
+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
+;;
-let unwind =
- unwind' 0
+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
;;
-let rec reduce : config -> Cic.term =
- let module C = Cic in
- let module S = CicSubstitution in
+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 (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 ->
+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 =
-(* prerr_string ("Rel " ^ string_of_int n) ; flush stderr ; *)
- try Some (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, (C.Var uri as t), s) ->
- (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 s = [] then t else C.Appl (t::s)
- | C.Variable (_,Some body,_) -> reduce (0, [], body, s)
+ (k, e, _, (C.Rel n as t), s) ->
+ let d =
+ try
+ Some (RS.from_env (List.nth e (n-1)))
+ with
+ _ ->
+ 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, (C.Meta _ as t), s) -> 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, (C.Cast (te,ty) as t), s) -> reduce (k, e,te,s) (* s should be empty *)
- | (k, e, (C.Prod _ as t), s) -> unwind k e t (* s should be empty *)
- | (k, e, (C.Lambda (_,_,t) as t'), []) -> unwind k e t'
- | (k, e, C.Lambda (_,_,t), p::s) ->
-(* prerr_string ("Lambda body: " ^ CicPp.ppterm t) ; flush stderr ; *)
- reduce (k+1, p::e,t,s)
- | (k, e, (C.LetIn (_,m,t) as t'), s) -> let m' = reduce (k,e,m,[]) in
- reduce (k+1, m'::e,t,s)
- | (k, e, C.Appl [], s) -> raise (Impossible 1)
- (* this is lazy
- | (k, e, C.Appl (he::tl), s) -> let tl' = List.map (unwind k e) tl
- in reduce (k, e, he, (List.append tl' s)) *)
- (* this is strict *)
- | (k, e, C.Appl (he::tl), s) ->
- (* constants are NOT unfolded *)
- let red = function
- C.Const _ as t -> t
- | t -> reduce (k, e,t,[]) in
- let tl' = List.map red tl in
- reduce (k, e, he , List.append tl' s)
-(*
- | (k, e, C.Appl ((C.Lambda _ as he)::tl), s)
- | (k, e, C.Appl ((C.Const _ as he)::tl), s)
- | (k, e, C.Appl ((C.MutCase _ as he)::tl), s)
- | (k, e, C.Appl ((C.Fix _ as he)::tl), s) ->
-(* strict evaluation, but constants are NOT
- unfolded *)
- let red = function
- C.Const _ as t -> t
- | t -> reduce (k, e,t,[]) in
- let tl' = List.map red tl in
- reduce (k, e, he , List.append tl' s)
- | (k, e, C.Appl l, s) -> C.Appl (List.append (List.map (unwind k e) l) s) *)
- | (k, e, (C.Const (uri,cookingsno) as t), s) ->
- (match CicEnvironment.get_cooked_obj uri cookingsno with
- C.Definition (_,body,_,_) -> reduce (0, [], body, s)
- (* constants are closed *)
- | C.Axiom _ -> if s = [] then t else C.Appl (t::s)
- | C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof (_,_,body,_) -> reduce (0, [], body, s)
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- )
- | (k, e, (C.MutInd (uri,_,_) as t),s) -> let t' = unwind k e t in
- if s = [] then t' else C.Appl (t'::s)
- | (k, e, (C.MutConstruct (uri,_,_,_) as t),s) ->
- let t' = unwind k e t in
- if s = [] then t' else C.Appl (t'::s)
- | (k, e, (C.MutCase (mutind,cookingsno,i,_,term,pl) as t),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 (_,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'::(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.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
- 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
- reduce (0,[], body', tl)
- | t -> t
- in
- (match decofix (reduce (k, e,term,[])) with
- C.MutConstruct (_,_,_,j) -> reduce (k, e, (List.nth pl (j-1)), s)
- | 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)
+ 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
- reduce (k, e, (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 t in
- if s = [] then t' else C.Appl (t'::s)
- )
- | (k, e, (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
+ (* 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 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, body', s) *)
- (* NEW *)
- let leng = List.length fl in
- let fl' =
- let unwind_fl (name,recindex,typ,body) =
- (name,recindex,unwind' leng k e typ, unwind' leng k e body) in
- List.map unwind_fl fl in
- let new_env =
- let counter = ref leng in
- let rec build_env e =
- if !counter = 0 then e else (decr counter;
- build_env ((C.Fix (!counter,fl'))::e)) in
- build_env e in
- reduce (k+leng, new_env, body,s)
- | _ -> let t' = unwind k e t in
- if s = [] then t' else C.Appl (t'::s)
- )
- | None -> let t' = unwind k e t in
- if s = [] then t' else C.Appl (t'::s)
+ (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
+ (* 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,(C.CoFix (i,fl) as t),s) -> let t' = unwind k e t in
- if s = [] then t' else C.Appl (t'::s);;
-
-let rec whd = let module C = Cic in
+ | (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
+ 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
- C.Rel _ as t -> t
- | C.Var _ as t -> reduce (0, [], t, [])
- | C.Meta _ as t -> t
- | C.Sort _ as t -> t
- | C.Implicit as t -> t
- | C.Cast (te,ty) -> whd te
- | C.Prod _ as t -> t
- | C.Lambda _ as t -> t
- | C.LetIn (n,s,t) -> reduce (1, [s], t, [])
- | C.Appl [] -> raise (Impossible 1)
- | C.Appl (he::tl) -> reduce (0, [], he, tl)
- | C.Const _ as t -> reduce (0, [], t, [])
- | C.MutInd _ as t -> t
- | C.MutConstruct _ as t -> t
- | C.MutCase _ as t -> reduce (0, [], t, [])
- | C.Fix _ as t -> reduce (0, [], t, [])
- | C.CoFix _ as t -> reduce (0, [], t, [])
- ;;
-
-(* let whd t = reduce (0, [],t,[]);;
- let res = reduce (0, [],t,[]) in
- let rescsc = CicReductionNaif.whd t in
- if not (CicReductionNaif.are_convertible res rescsc) then
+ [] -> 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
+ let rescsc = CicReductionNaif.whd context t in
+ if not (CicReductionNaif.are_convertible context res rescsc) then
begin
prerr_endline ("PRIMA: " ^ CicPp.ppterm t) ;
flush stderr ;
flush stderr ;
prerr_endline ("CSC: " ^ CicPp.ppterm rescsc) ;
flush stderr ;
+CicReductionNaif.fdebug := 0 ;
+let _ = CicReductionNaif.are_convertible context res rescsc in
assert false ;
end
else
- res ;; *)
+ 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 =
- let rec aux t1 t2 =
- if t1 = t2 then true
- else
+let are_convertible =
+ let module U = UriManager in
+ let rec aux context t1 t2 =
let aux2 t1 t2 =
- let module U = UriManager in
- let module C = Cic in
- match (t1,t2) with
- (C.Rel n1, C.Rel n2) -> n1 = n2
- | (C.Var uri1, C.Var uri2) -> U.eq uri1 uri2
- | (C.Meta n1, C.Meta n2) -> n1 = n2
- | (C.Sort s1, C.Sort s2) -> true (*CSC da finire con gli universi *)
- | (C.Prod (_,s1,t1), C.Prod(_,s2,t2)) ->
- aux s1 s2 && aux t1 t2
- | (C.Lambda (_,s1,t1), C.Lambda(_,s2,t2)) ->
- aux s1 s2 && aux t1 t2
- | (C.Appl l1, C.Appl l2) ->
- (try
- List.fold_right2 (fun x y b -> aux x y && b) l1 l2 true
- with
- Invalid_argument _ -> false
- )
- | (C.Const (uri1,_), C.Const (uri2,_)) ->
- U.eq uri1 uri2
- | (C.MutInd (uri1,k1,i1), C.MutInd (uri2,k2,i2)) ->
- U.eq uri1 uri2 && i1 = i2
- | (C.MutConstruct (uri1,_,i1,j1), C.MutConstruct (uri2,_,i2,j2)) ->
- U.eq uri1 uri2 && i1 = i2 && j1 = j2
- | (C.MutCase (uri1,_,i1,outtype1,term1,pl1),
- C.MutCase (uri2,_,i2,outtype2,term2,pl2)) ->
- (* aux outtype1 outtype2 should be true if aux pl1 pl2 *)
- U.eq uri1 uri2 && i1 = i2 && aux outtype1 outtype2 &&
- aux term1 term2 &&
- List.fold_right2 (fun x y b -> b && aux x y) pl1 pl2 true
- | (C.Fix (i1,fl1), C.Fix (i2,fl2)) ->
- i1 = i2 &&
- List.fold_right2
- (fun (_,recindex1,ty1,bo1) (_,recindex2,ty2,bo2) b ->
- b && recindex1 = recindex2 && aux ty1 ty2 && aux bo1 bo2)
- fl1 fl2 true
- | (C.CoFix (i1,fl1), C.CoFix (i2,fl2)) ->
- i1 = i2 &&
- List.fold_right2
- (fun (_,ty1,bo1) (_,ty2,bo2) b ->
- b && aux ty1 ty2 && aux bo1 bo2)
- fl1 fl2 true
- | (_,_) -> false
+ (* this trivial euristic cuts down the total time of about five times ;-) *)
+ (* this because most of the time t1 and t2 are "sintactically" the same *)
+ if t1 = t2 then
+ true
+ else
+ begin
+ let module C = Cic in
+ match (t1,t2) with
+ (C.Rel n1, C.Rel n2) -> n1 = n2
+ | (C.Var (uri1,exp_named_subst1), C.Var (uri2,exp_named_subst2)) ->
+ U.eq uri1 uri2 &&
+ (try
+ List.fold_right2
+ (fun (uri1,x) (uri2,y) b ->
+ U.eq uri1 uri2 && aux context x y && b
+ ) exp_named_subst1 exp_named_subst2 true
+ with
+ Invalid_argument _ -> false
+ )
+ | (C.Meta (n1,l1), C.Meta (n2,l2)) ->
+ n1 = n2 &&
+ List.fold_left2
+ (fun b t1 t2 ->
+ b &&
+ match t1,t2 with
+ None,_
+ | _,None -> true
+ | Some t1',Some t2' -> aux context t1' t2'
+ ) true l1 l2
+ | (C.Sort s1, C.Sort s2) -> true (*CSC da finire con gli universi *)
+ | (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
+ aux context s1 s2 && aux ((Some (name1, (C.Decl s1)))::context) t1 t2
+ | (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2)) ->
+ aux context s1 s2 && aux ((Some (name1, (C.Decl s1)))::context) t1 t2
+ | (C.LetIn (name1,s1,t1), C.LetIn(_,s2,t2)) ->
+ aux context s1 s2 && aux ((Some (name1, (C.Def s1)))::context) t1 t2
+ | (C.Appl l1, C.Appl l2) ->
+ (try
+ List.fold_right2 (fun x y b -> aux context x y && b) l1 l2 true
+ with
+ Invalid_argument _ -> false
+ )
+ | (C.Const (uri1,exp_named_subst1), C.Const (uri2,exp_named_subst2)) ->
+ U.eq uri1 uri2 &&
+ (try
+ List.fold_right2
+ (fun (uri1,x) (uri2,y) b ->
+ U.eq uri1 uri2 && aux context x y && b
+ ) exp_named_subst1 exp_named_subst2 true
+ with
+ Invalid_argument _ -> false
+ )
+ | (C.MutInd (uri1,i1,exp_named_subst1),
+ C.MutInd (uri2,i2,exp_named_subst2)
+ ) ->
+ U.eq uri1 uri2 && i1 = i2 &&
+ (try
+ List.fold_right2
+ (fun (uri1,x) (uri2,y) b ->
+ U.eq uri1 uri2 && aux context x y && b
+ ) exp_named_subst1 exp_named_subst2 true
+ with
+ Invalid_argument _ -> false
+ )
+ | (C.MutConstruct (uri1,i1,j1,exp_named_subst1),
+ C.MutConstruct (uri2,i2,j2,exp_named_subst2)
+ ) ->
+ U.eq uri1 uri2 && i1 = i2 && j1 = j2 &&
+ (try
+ List.fold_right2
+ (fun (uri1,x) (uri2,y) b ->
+ U.eq uri1 uri2 && aux context x y && b
+ ) exp_named_subst1 exp_named_subst2 true
+ with
+ Invalid_argument _ -> false
+ )
+ | (C.MutCase (uri1,i1,outtype1,term1,pl1),
+ C.MutCase (uri2,i2,outtype2,term2,pl2)) ->
+ U.eq uri1 uri2 && i1 = i2 && aux context outtype1 outtype2 &&
+ aux context term1 term2 &&
+ List.fold_right2 (fun x y b -> b && aux context x y) pl1 pl2 true
+ | (C.Fix (i1,fl1), C.Fix (i2,fl2)) ->
+ let tys =
+ List.map (function (n,_,ty,_) -> Some (C.Name n,(C.Decl ty))) fl1
+ in
+ i1 = i2 &&
+ List.fold_right2
+ (fun (_,recindex1,ty1,bo1) (_,recindex2,ty2,bo2) b ->
+ b && recindex1 = recindex2 && aux context ty1 ty2 &&
+ aux (tys@context) bo1 bo2)
+ fl1 fl2 true
+ | (C.CoFix (i1,fl1), C.CoFix (i2,fl2)) ->
+ let tys =
+ List.map (function (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl1
+ in
+ i1 = i2 &&
+ List.fold_right2
+ (fun (_,ty1,bo1) (_,ty2,bo2) b ->
+ b && aux context ty1 ty2 && aux (tys@context) bo1 bo2)
+ fl1 fl2 true
+ | (C.Cast _, _) | (_, C.Cast _)
+ | (C.Implicit, _) | (_, C.Implicit) ->
+ raise (Impossible 3) (* we don't trust our whd ;-) *)
+ | (_,_) -> false
+ end
in
if aux2 t1 t2 then true
- else aux2 (whd t1) (whd t2)
-in
- aux
-;;
-
-
-
-
-
-
-
-
-
-
-
+ else
+ begin
+ debug t1 [t2] "PREWHD";
+ let t1' = whd context t1 in
+ let t2' = whd context t2 in
+ debug t1' [t2'] "POSTWHD";
+ aux2 t1' t2'
+ end
+ in
+ aux
+;;
projects / helm.git / blobdiff