(* $Id$ *)
-(* TODO unify exceptions *)
+module C = NCic
+module Ref = NReference
+module E = NCicEnvironment
+
+exception AssertFailure of string Lazy.t;;
-module type Strategy =
- sig
+module type Strategy = sig
type stack_term
type env_term
- type config = int * env_term list * NCic.term * stack_term list
+ type config = int * env_term list * C.term * stack_term list
val to_env :
- reduce: (config -> config) ->
- unwind: (config -> NCic.term) ->
- config -> env_term
+ reduce: (config -> config * bool) -> unwind: (config -> C.term) ->
+ config -> env_term
val from_stack : stack_term -> config
val from_stack_list_for_unwind :
- unwind: (config -> NCic.term) ->
- stack_term list -> NCic.term list
+ unwind: (config -> C.term) -> stack_term list -> C.term list
val from_env : env_term -> config
val from_env_for_unwind :
- unwind: (config -> NCic.term) ->
- env_term -> NCic.term
+ unwind: (config -> C.term) -> env_term -> C.term
val stack_to_env :
- reduce: (config -> config) ->
- unwind: (config -> NCic.term) ->
- stack_term -> env_term
+ reduce: (config -> config * bool) -> unwind: (config -> C.term) ->
+ stack_term -> env_term
val compute_to_env :
- reduce: (config -> config) ->
- unwind: (config -> NCic.term) ->
- int -> env_term list ->
- NCic.term -> env_term
+ reduce: (config -> config * bool) -> unwind: (config -> C.term) ->
+ int -> env_term list -> C.term -> env_term
val compute_to_stack :
- reduce: (config -> config) ->
- unwind: (config -> NCic.term) ->
- config -> stack_term
+ reduce: (config -> config * bool) -> unwind: (config -> C.term) ->
+ config -> stack_term
end
;;
-module CallByValueByNameForUnwind' =
- struct
- type config = int * env_term list * NCic.term * stack_term list
- and stack_term = config lazy_t * NCic.term lazy_t (* cbv, cbn *)
- and env_term = config lazy_t * NCic.term lazy_t (* cbv, cbn *)
- let to_env ~reduce ~unwind c = lazy (reduce c),lazy (unwind c)
+module CallByValueByNameForUnwind' = struct
+ type config = int * env_term list * C.term * stack_term list
+ and stack_term = config lazy_t * C.term lazy_t (* cbv, cbn *)
+ and env_term = config lazy_t * C.term lazy_t (* cbv, cbn *)
+ let to_env ~reduce ~unwind c = lazy (fst (reduce c)),lazy (unwind c)
let from_stack (c,_) = Lazy.force c
let from_stack_list_for_unwind ~unwind:_ l =
List.map (function (_,c) -> Lazy.force c) l
let from_env_for_unwind ~unwind:_ (_,c) = Lazy.force c
let stack_to_env ~reduce:_ ~unwind:_ config = config
let compute_to_env ~reduce ~unwind k e t =
- lazy (reduce (k,e,t,[])), lazy (unwind (k,e,t,[]))
+ lazy (fst (reduce (k,e,t,[]))), lazy (unwind (k,e,t,[]))
let compute_to_stack ~reduce ~unwind config =
- lazy (reduce config), lazy (unwind config)
- end
-;;
-
-
-(* {{{ module CallByValueByNameForUnwind =
- struct
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- and stack_term = config
- and env_term = config * config (* cbv, cbn *)
- and ens_term = config * config (* cbv, cbn *)
-
- let to_env c = c,c
- let to_ens c = c,c
- let from_stack config = config
- let from_stack_list_for_unwind ~unwind l = List.map unwind l
- let from_env (c,_) = c
- let from_ens (c,_) = c
- let from_env_for_unwind ~unwind (_,c) = unwind c
- let from_ens_for_unwind ~unwind (_,c) = unwind c
- let stack_to_env ~reduce ~unwind config = reduce config, (0,[],[],unwind config,[])
- let compute_to_env ~reduce ~unwind k e ens t = (k,e,ens,t,[]), (k,e,ens,t,[])
- let compute_to_stack ~reduce ~unwind config = config
- end
-;;
-
-
-(* Old Machine *)
-module CallByNameStrategy =
- struct
- type stack_term = Cic.term
- type env_term = Cic.term
- type ens_term = Cic.term
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = v
- let from_ens_for_unwind ~unwind 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
-;;
-
-module CallByNameStrategy =
- struct
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- and stack_term = config
- and env_term = config
- and ens_term = config
-
- let to_env c = c
- let to_ens c = c
- let from_stack config = config
- let from_stack_list_for_unwind ~unwind l = List.map unwind l
- let from_env c = c
- let from_ens c = c
- let from_env_for_unwind ~unwind c = unwind c
- let from_ens_for_unwind ~unwind c = unwind c
- let stack_to_env ~reduce ~unwind config = 0,[],[],unwind config,[]
- let compute_to_env ~reduce ~unwind k e ens t = k,e,ens,t,[]
- let compute_to_stack ~reduce ~unwind config = config
- end
-;;
-
-module CallByValueStrategy =
- struct
- type stack_term = Cic.term
- type env_term = Cic.term
- type ens_term = Cic.term
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = v
- let from_ens_for_unwind ~unwind 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
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = v
- let from_ens_for_unwind ~unwind 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
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = Lazy.force v
- let from_ens_for_unwind ~unwind 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
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = Lazy.force v
- let from_ens_for_unwind ~unwind 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
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = Lazy.force v
- let from_ens_for_unwind ~unwind 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
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = (v ~reduce:true)
- let from_ens_for_unwind ~unwind 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
+ lazy (fst (reduce config)), lazy (unwind config)
end
;;
-module ClosuresOnStackByValueFromEnvOrEnsStrategy =
- struct
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- and stack_term = config
- and env_term = config
- and ens_term = config
-
- let to_env config = config
- let to_ens config = config
- let from_stack config = config
- let from_stack_list_for_unwind ~unwind l = List.map unwind l
- let from_env v = v
- let from_ens v = v
- let from_env_for_unwind ~unwind config = unwind config
- let from_ens_for_unwind ~unwind config = unwind config
- let stack_to_env ~reduce ~unwind config = reduce config
- let compute_to_env ~reduce ~unwind k e ens t = (k,e,ens,t,[])
- let compute_to_stack ~reduce ~unwind config = config
- 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
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- 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 from_env_for_unwind ~unwind v = v
- let from_ens_for_unwind ~unwind 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
+module Reduction(RS : Strategy) = struct
type env = RS.env_term list
type stack = RS.stack_term list
- type config = int * env * NCic.term * stack
+ type config = int * env * C.term * stack
let rec unwind (k,e,t,s) =
let t =
if k = 0 then t
else
NCicSubstitution.psubst ~avoid_beta_redexes:true
- true 0 (RS.from_env_for_unwind ~unwind) e t
+ (RS.from_env_for_unwind ~unwind) e t
in
if s = [] then t
- else NCic.Appl(t::(RS.from_stack_list_for_unwind ~unwind s))
+ else C.Appl(t::(RS.from_stack_list_for_unwind ~unwind s))
;;
let list_nth l n = try List.nth l n with Failure _ -> assert false;;
| _,_ -> assert false
;;
- let rec reduce ~delta ?(subst = []) context : config -> config =
+ let rec reduce ~delta ?(subst = []) context : config -> config * bool =
let rec aux = function
- | k, e, NCic.Rel n, s when n <= k ->
+ | k, e, C.Rel n, s when n <= k ->
let k',e',t',s' = RS.from_env (list_nth e (n-1)) in
aux (k',e',t',s'@s)
- | k, _, NCic.Rel n, s as config (* when n > k *) ->
+ | k, _, C.Rel n, s as config (* when n > k *) ->
let x= try Some (List.nth context (n - 1 - k)) with Failure _ -> None in
(match x with
- | Some(_,NCic.Def(x,_)) -> aux (0,[],NCicSubstitution.lift (n - k) x,s)
- | _ -> config)
- | (k, e, NCic.Meta (n,l), s) as config ->
+ | Some(_,C.Def(x,_)) -> aux (0,[],NCicSubstitution.lift (n - k) x,s)
+ | _ -> config, true)
+ | (k, e, C.Meta (n,l), s) as config ->
(try
let _,_, term,_ = NCicUtils.lookup_subst n subst in
aux (k, e, NCicSubstitution.subst_meta l term,s)
- with NCicUtils.Subst_not_found _ -> config)
- | (_, _, NCic.Sort _, _) as config -> config
- | (_, _, NCic.Implicit _, _) -> assert false
- | (_, _, NCic.Prod _, _) as config -> config
- | (_, _, NCic.Lambda _, []) as config -> config
- | (k, e, NCic.Lambda (_,_,t), p::s) ->
+ with NCicUtils.Subst_not_found _ -> config, true)
+ | (_, _, C.Implicit _, _) -> assert false
+ | (_, _, C.Sort _, _)
+ | (_, _, C.Prod _, _)
+ | (_, _, C.Lambda _, []) as config -> config, true
+ | (k, e, C.Lambda (_,_,t), p::s) ->
aux (k+1, (RS.stack_to_env ~reduce:aux ~unwind p)::e, t,s)
- | (k, e, NCic.LetIn (_,_,m,t), s) ->
+ | (k, e, C.LetIn (_,_,m,t), s) ->
let m' = RS.compute_to_env ~reduce:aux ~unwind k e m in
aux (k+1, m'::e, t, s)
- | (_, _, NCic.Appl [], _) -> assert false
- | (k, e, NCic.Appl (he::tl), s) ->
+ | (_, _, C.Appl ([]|[_]), _) -> assert false
+ | (k, e, C.Appl (he::tl), s) ->
let tl' =
List.map (fun t->RS.compute_to_stack ~reduce:aux ~unwind (k,e,t,[])) tl
in
aux (k, e, he, tl' @ s)
- | (_, _, NCic.Const
- (NReference.Ref (height,_,NReference.Def) as refer), s) as config ->
- if delta > height then config else
+ | (_, _, C.Const
+ (Ref.Ref (_,Ref.Def height) as refer), s) as config ->
+ if delta >= height then
+ config, false
+ else
let _,_,body,_,_,_ = NCicEnvironment.get_checked_def refer in
aux (0, [], body, s)
- | (_, _, NCic.Const (NReference.Ref
- (height,_,NReference.Fix (fixno,recindex)) as refer),s) as config ->
- if delta > height then config else
+ | (_, _, C.Const (Ref.Ref (_,
+ (Ref.Decl|Ref.Ind _|Ref.Con _|Ref.CoFix _))), _) as config ->
+ config, true
+ | (_, _, (C.Const (Ref.Ref
+ (_,Ref.Fix (fixno,recindex,height)) as refer) as head),s) as config ->
+(* if delta >= height then config else *)
(match
try Some (RS.from_stack (List.nth s recindex))
with Failure _ -> None
with
- | None -> config
+ | None -> config, true
| Some recparam ->
let fixes,_,_ = NCicEnvironment.get_checked_fixes_or_cofixes refer in
match reduce ~delta:0 ~subst context recparam with
- | (_,_,NCic.Const (NReference.Ref (_,_,NReference.Con _)), _) as c ->
+ | (_,_,C.Const (Ref.Ref (_,Ref.Con _)), _) as c, _
+ when delta >= height ->
+ let new_s =
+ replace recindex s (RS.compute_to_stack ~reduce:aux ~unwind c)
+ in
+ (0, [], head, new_s), false
+ | (_,_,C.Const (Ref.Ref (_,Ref.Con _)), _) as c, _ ->
let new_s =
replace recindex s (RS.compute_to_stack ~reduce:aux ~unwind c)
in
let _,_,_,_,body = List.nth fixes fixno in
aux (0, [], body, new_s)
- | _ -> config)
- | (_, _, NCic.Const _, _) as config -> config
- | (k, e, NCic.Match (_,_,term,pl),s) as config ->
+ | _ -> config, true)
+ | (k, e, C.Match (_,_,term,pl),s) as config ->
let decofix = function
- | (_,_,NCic.Const(NReference.Ref(_,_,NReference.CoFix c)as refer),s)->
- let cofixes,_,_ = NCicEnvironment.get_checked_fixes_or_cofixes refer in
+ | (_,_,C.Const(Ref.Ref(_,Ref.CoFix c)as refer),s)->
+ let cofixes,_,_ =
+ NCicEnvironment.get_checked_fixes_or_cofixes refer in
let _,_,_,_,body = List.nth cofixes c in
- reduce ~delta:0 ~subst context (0,[],body,s)
+ let c,_ = reduce ~delta:0 ~subst context (0,[],body,s) in
+ c
| config -> config
in
- (match decofix (reduce ~delta:0 ~subst context (k,e,term,[])) with
- | (_, _, NCic.Const (NReference.Ref (_,_,NReference.Con (_,j))),[]) ->
+ let match_head = k,e,term,[] in
+ let reduced,_ = reduce ~delta:0 ~subst context match_head in
+ (match decofix reduced with
+ | (_, _, C.Const (Ref.Ref (_,Ref.Con (_,j,_))),[]) ->
aux (k, e, List.nth pl (j-1), s)
- | (_, _, NCic.Const
- (NReference.Ref (_,_,NReference.Con (_,j)) as refer), s') ->
- let leftno = NCicEnvironment.get_indty_leftno refer in
- let _,params = HExtlib.split_nth leftno s' in
+ | (_, _, C.Const (Ref.Ref (_,Ref.Con (_,j,lno))), s')->
+ let _,params = HExtlib.split_nth "NR 1" lno s' in
aux (k, e, List.nth pl (j-1), params@s)
- | _ -> config)
+ | _ -> config, true)
in
aux
;;
- let whd ?(delta=0) ?(subst=[]) context t =
- unwind (reduce ~delta ~subst context (0, [], t, []))
+ let whd ?(delta=0) ~subst context t =
+ unwind (fst (reduce ~delta ~subst context (0, [], t, [])))
;;
end
;;
-(* {{{ ROTTO = rompe l'unificazione poiche' riduce gli argomenti di un'applicazione
- senza ridurre la testa
-module R = Reduction CallByNameStrategy;; OK 56.368s
-module R = Reduction CallByValueStrategy;; ROTTO
-module R = Reduction CallByValueStrategyByNameOnConstants;; ROTTO
-module R = Reduction LazyCallByValueStrategy;; ROTTO
-module R = Reduction LazyCallByValueStrategyByNameOnConstants;; ROTTO
-module R = Reduction LazyCallByNameStrategy;; OK 0m56.398s
-module R = Reduction
- LazyCallByValueByNameOnConstantsWhenFromStack_ByNameStrategyWhenFromEnvOrEns;;
- OK 59.058s
-module R = Reduction ClosuresOnStackByValueFromEnvOrEnsStrategy;; OK 58.583s
-module R = Reduction
- ClosuresOnStackByValueFromEnvOrEnsByNameOnConstantsStrategy;; OK 58.094s
-module R = Reduction(ClosuresOnStackByValueFromEnvOrEnsStrategy);; OK 58.127s
-module R = Reduction(CallByValueByNameForUnwind);;
-module R = Reduction(CallByNameStrategy);;
-module R = Reduction(ClosuresOnStackByValueFromEnvOrEnsStrategy);;}}} *)
module RS = CallByValueByNameForUnwind';;
-
module R = Reduction(RS);;
-module U = UriManager;;
let whd = R.whd
-(*
-let whd =
- let profiler_whd = HExtlib.profile ~enable:profile "are_convertible.whd" in
- fun ?(delta=true) ?(subst=[]) context t ->
- profiler_whd.HExtlib.profile (whd ~delta ~subst context) t
-*)
-
-(* mimic ocaml (<< 3.08) "=" behaviour. Tests physical equality first then
- * fallbacks to structural equality *)
let (===) x y = Pervasives.compare x y = 0 ;;
-module C = NCic
+let get_relevance = ref (fun ~metasenv:_ ~subst:_ _ _ -> assert false);;
+
+let set_get_relevance f = get_relevance := f;;
(* t1, t2 must be well-typed *)
-let are_convertible whd ?(subst=[]) ?(metasenv=[]) =
- let rec aux test_equality_only context t1 t2 =
- let rec aux2 test_equality_only t1 t2 =
+let are_convertible ~metasenv ~subst =
+ let rec aux test_eq_only context t1 t2 =
+ let alpha_eq test_eq_only t1 t2 =
if t1 === t2 then
true
else
match (t1,t2) with
- | (C.Sort (C.Type a), C.Sort (C.Type b)) -> a <= b
- | (C.Sort s1,C.Sort (C.Type _)) -> (not test_equality_only)
- | (C.Sort s1, C.Sort s2) -> s1 = s2
+ | (C.Sort (C.Type a), C.Sort (C.Type b)) when not test_eq_only ->
+ NCicEnvironment.universe_leq a b
+ | (C.Sort (C.Type a), C.Sort (C.Type b)) ->
+ NCicEnvironment.universe_eq a b
+ | (C.Sort C.Prop,C.Sort (C.Type _)) -> (not test_eq_only)
+ | (C.Sort C.Prop, C.Sort C.Prop) -> true
| (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
aux true context s1 s2 &&
- aux test_equality_only ((name1, C.Decl s1)::context) t1 t2
- | (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2)) ->
- aux true context s1 s2 &&
- aux true ((name1, C.Decl s1)::context) t1 t2
+ aux test_eq_only ((name1, C.Decl s1)::context) t1 t2
+ | (C.Lambda (name1,s1,t1), C.Lambda(_,_,t2)) ->
+ (* thanks to inversion of well typedness, the source
+ * of these lambdas must be already convertible *)
+ aux test_eq_only ((name1, C.Decl s1)::context) t1 t2
| (C.LetIn (name1,ty1,s1,t1), C.LetIn(_,ty2,s2,t2)) ->
- aux test_equality_only context ty1 ty2 &&
- aux test_equality_only context s1 s2 &&
- aux test_equality_only ((name1, C.Def (s1,ty1))::context) t1 t2
+ aux test_eq_only context ty1 ty2 &&
+ aux test_eq_only context s1 s2 &&
+ aux test_eq_only ((name1, C.Def (s1,ty1))::context) t1 t2
- | (C.Meta (n1,(s1, C.Irl i1)), C.Meta (n2,(s2, C.Irl i2)))
+ | (C.Meta (n1,(s1, C.Irl _)), C.Meta (n2,(s2, C.Irl _)))
when n1 = n2 && s1 = s2 -> true
- | (C.Meta (n1,(s1, l1)), C.Meta (n2,(s2, l2))) when n1 = n2 ->
+ | (C.Meta (n1,(s1, l1)), C.Meta (n2,(s2, l2))) when n1 = n2 &&
let l1 = NCicUtils.expand_local_context l1 in
let l2 = NCicUtils.expand_local_context l2 in
(try List.for_all2
- (fun t1 t2 -> aux test_equality_only context
+ (fun t1 t2 -> aux test_eq_only context
(NCicSubstitution.lift s1 t1)
(NCicSubstitution.lift s2 t2))
l1 l2
- with Invalid_argument _ -> false)
+ with Invalid_argument "List.for_all2" ->
+ prerr_endline ("Meta " ^ string_of_int n1 ^
+ " occurrs with local contexts of different lenght\n"^
+ NCicPp.ppterm ~metasenv ~subst ~context t1 ^ " === " ^
+ NCicPp.ppterm ~metasenv ~subst ~context t2);
+ assert false) -> true
| C.Meta (n1,l1), _ ->
(try
let _,_,term,_ = NCicUtils.lookup_subst n1 subst in
let term = NCicSubstitution.subst_meta l1 term in
- aux test_equality_only context term t2
+ aux test_eq_only context term t2
with NCicUtils.Subst_not_found _ -> false)
| _, C.Meta (n2,l2) ->
(try
let _,_,term,_ = NCicUtils.lookup_subst n2 subst in
let term = NCicSubstitution.subst_meta l2 term in
- aux test_equality_only context t1 term
+ aux test_eq_only context t1 term
with NCicUtils.Subst_not_found _ -> false)
-
- | (C.Appl l1, C.Appl l2) ->
- (try List.for_all2 (aux test_equality_only context) l1 l2
- with Invalid_argument _ -> false)
-
- | (C.Match (ref1,outtype1,term1,pl1),
- C.Match (ref2,outtype2,term2,pl2)) ->
- NReference.eq ref1 ref2 &&
- aux test_equality_only context outtype1 outtype2 &&
- aux test_equality_only context term1 term2 &&
- (try List.for_all2 (aux test_equality_only context) pl1 pl2
+
+ | (C.Appl ((C.Const r1) as hd1::tl1), C.Appl (C.Const r2::tl2))
+ when (Ref.eq r1 r2 &&
+ List.length (E.get_relevance r1) >= List.length tl1) ->
+ let relevance = E.get_relevance r1 in
+ let relevance = match r1 with
+ | Ref.Ref (_,Ref.Con (_,_,lno)) ->
+ let _,relevance = HExtlib.split_nth "NR 2" lno relevance in
+ HExtlib.mk_list false lno @ relevance
+ | _ -> relevance
+ in
+ (try
+ HExtlib.list_forall_default3_var
+ (fun t1 t2 b -> not b || aux true context t1 t2 )
+ tl1 tl2 true relevance
+ with Invalid_argument _ -> false
+ | HExtlib.FailureAt fail ->
+ let relevance =
+ !get_relevance ~metasenv ~subst context hd1 tl1 in
+ let _,relevance = HExtlib.split_nth "NR 3" fail relevance in
+ let b,relevance = (match relevance with
+ | [] -> assert false
+ | b::tl -> b,tl) in
+ if (not b) then
+ let _,tl1 = HExtlib.split_nth "NR 4" (fail+1) tl1 in
+ let _,tl2 = HExtlib.split_nth "NR 5" (fail+1) tl2 in
+ try
+ HExtlib.list_forall_default3
+ (fun t1 t2 b -> not b || aux true context t1 t2)
+ tl1 tl2 true relevance
+ with Invalid_argument _ -> false
+ else false)
+
+ | (C.Appl (hd1::tl1), C.Appl (hd2::tl2)) ->
+ aux test_eq_only context hd1 hd2 &&
+ let relevance = !get_relevance ~metasenv ~subst context hd1 tl1 in
+ (try
+ HExtlib.list_forall_default3
+ (fun t1 t2 b -> not b || aux true context t1 t2)
+ tl1 tl2 true relevance
with Invalid_argument _ -> false)
+ | (C.Match (Ref.Ref (_,Ref.Ind (_,tyno,_)) as ref1,outtype1,term1,pl1),
+ C.Match (ref2,outtype2,term2,pl2)) ->
+ let _,_,itl,_,_ = E.get_checked_indtys ref1 in
+ let _,_,ty,_ = List.nth itl tyno in
+ let rec remove_prods ~subst context ty =
+ let ty = whd ~subst context ty in
+ match ty with
+ | C.Sort _ -> ty
+ | C.Prod (name,so,ta) -> remove_prods ~subst ((name,(C.Decl so))::context) ta
+ | _ -> assert false
+ in
+ let is_prop =
+ match remove_prods ~subst [] ty with
+ | C.Sort C.Prop -> true
+ | _ -> false
+ in
+ Ref.eq ref1 ref2 &&
+ aux test_eq_only context outtype1 outtype2 &&
+ (is_prop || aux test_eq_only context term1 term2) &&
+ (try List.for_all2 (aux test_eq_only context) pl1 pl2
+ with Invalid_argument _ -> false)
| (C.Implicit _, _) | (_, C.Implicit _) -> assert false
| (_,_) -> false
in
- if aux2 test_equality_only t1 t2 then
+ if alpha_eq test_eq_only t1 t2 then
true
else
- let rec convert_machines = function
- | [] -> true
- | ((k1,env1,h1,s1),(k2,env2,h2,s2))::tl ->
- aux2 test_equality_only
- (R.unwind (k1,env1,h1,[])) (R.unwind (k2,env2,h2,[])) &&
- let problems =
- let red_stack =
- List.map
- (fun si-> R.reduce ~delta:0 ~subst context(RS.from_stack si))
- in
- try Some (List.combine (red_stack s1) (red_stack s2) @ tl)
- with Invalid_argument _ -> None
- in
- match problems with
- | None -> false
- | Some problems -> convert_machines problems
+ let height_of = function
+ | C.Const (Ref.Ref (_,Ref.Def h))
+ | C.Const (Ref.Ref (_,Ref.Fix (_,_,h)))
+ | C.Appl(C.Const(Ref.Ref(_,Ref.Def h))::_)
+ | C.Appl(C.Const(Ref.Ref(_,Ref.Fix (_,_,h)))::_) -> h
+ | _ -> 0
in
- convert_machines
- [R.reduce ~delta:0 ~subst context (0,[],t1,[]),
- R.reduce ~delta:0 ~subst context (0,[],t2,[])]
+ let put_in_whd m1 m2 =
+ R.reduce ~delta:max_int ~subst context m1,
+ R.reduce ~delta:max_int ~subst context m2
+ in
+ let small_delta_step
+ ((_,_,t1,_ as m1), norm1 as x1) ((_,_,t2,_ as m2), norm2 as x2)
+ =
+ assert(not (norm1 && norm2));
+ if norm1 then
+ x1, R.reduce ~delta:(height_of t2 -1) ~subst context m2
+ else if norm2 then
+ R.reduce ~delta:(height_of t1 -1) ~subst context m1, x2
+ else
+ let h1 = height_of t1 in
+ let h2 = height_of t2 in
+ let delta = if h1 = h2 then max 0 (h1 -1) else min h1 h2 in
+ R.reduce ~delta ~subst context m1,
+ R.reduce ~delta ~subst context m2
+ in
+ let rec convert_machines test_eq_only
+ ((k1,e1,t1,s1),norm1 as m1),((k2,e2,t2,s2), norm2 as m2)
+ =
+ (alpha_eq test_eq_only
+ (R.unwind (k1,e1,t1,[])) (R.unwind (k2,e2,t2,[])) &&
+ let relevance =
+ match t1 with
+ C.Const r -> NCicEnvironment.get_relevance r
+ | _ -> [] in
+ try
+ HExtlib.list_forall_default3
+ (fun t1 t2 b ->
+ not b ||
+ let t1 = RS.from_stack t1 in
+ let t2 = RS.from_stack t2 in
+ convert_machines true (put_in_whd t1 t2)) s1 s2 true relevance
+ with Invalid_argument _ -> false) ||
+ (not (norm1 && norm2) && convert_machines test_eq_only (small_delta_step m1 m2))
+ in
+ convert_machines test_eq_only (put_in_whd (0,[],t1,[]) (0,[],t2,[]))
in
aux false
;;
-let are_convertible = are_convertible whd
-
-let rec head_beta_reduce ?(delta=max_int) ?(upto=(-1)) t l =
+let rec head_beta_reduce ~delta ~upto ~subst t l =
match upto, t, l with
| 0, C.Appl l1, _ -> C.Appl (l1 @ l)
| 0, t, [] -> t
| 0, t, _ -> C.Appl (t::l)
- | _, C.Appl (hd::tl), _ -> head_beta_reduce ~delta ~upto hd (tl @ l)
+ | _, C.Meta (n,ctx), _ ->
+ (try
+ let _,_, term,_ = NCicUtils.lookup_subst n subst in
+ head_beta_reduce ~delta ~upto ~subst
+ (NCicSubstitution.subst_meta ctx term) l
+ with NCicUtils.Subst_not_found _ -> if l = [] then t else C.Appl (t::l))
+ | _, C.Appl (hd::tl), _ -> head_beta_reduce ~delta ~upto ~subst hd (tl @ l)
| _, C.Lambda(_,_,bo), arg::tl ->
let bo = NCicSubstitution.subst arg bo in
- head_beta_reduce ~delta ~upto:(upto - 1) bo tl
- | _, C.Const (NReference.Ref (height, _, NReference.Def) as re), _
+ head_beta_reduce ~delta ~upto:(upto - 1) ~subst bo tl
+ | _, C.Const (Ref.Ref (_, Ref.Def height) as re), _
when delta <= height ->
let _, _, bo, _, _, _ = NCicEnvironment.get_checked_def re in
- head_beta_reduce ~upto ~delta bo l
+ head_beta_reduce ~upto ~delta ~subst bo l
| _, t, [] -> t
| _, t, _ -> C.Appl (t::l)
;;
-let head_beta_reduce ?delta ?upto t = head_beta_reduce ?delta ?upto t [];;
+let head_beta_reduce ?(delta=max_int) ?(upto= -1) ?(subst=[]) t =
+ head_beta_reduce ~delta ~upto ~subst t []
+;;
+
+type stack_item = RS.stack_term
+type environment_item = RS.env_term
+
+type machine = int * environment_item list * NCic.term * stack_item list
+
+let reduce_machine = R.reduce
+let from_stack = RS.from_stack
+let unwind = R.unwind
+
+let _ =
+ NCicUtils.set_head_beta_reduce (fun ~upto t -> head_beta_reduce ~upto t);
+ NCicPp.set_head_beta_reduce (fun ~upto t -> head_beta_reduce ~upto t);
+;;
+
+(* if n < 0, then splits all prods from an arity, returning a sort *)
+let rec split_prods ~subst context n te =
+ match (n, R.whd ~subst context te) with
+ | (0, _) -> context,te
+ | (n, C.Sort _) when n <= 0 -> context,te
+ | (n, C.Prod (name,so,ta)) ->
+ split_prods ~subst ((name,(C.Decl so))::context) (n - 1) ta
+ | (_, _) -> raise (AssertFailure (lazy "split_prods"))
+;;
(* vim:set foldmethod=marker: *)
projects / helm.git / blobdiff