+++ /dev/null
-(* Copyright (C) 2000, HELM Team.
- *
- * This file is part of HELM, an Hypertextual, Electronic
- * Library of Mathematics, developed at the Computer Science
- * Department, University of Bologna, Italy.
- *
- * HELM is free software; you can redistribute it and/or
- * modify it under the terms of the GNU General Public License
- * as published by the Free Software Foundation; either version 2
- * of the License, or (at your option) any later version.
- *
- * HELM is distributed in the hope that it will be useful,
- * but WITHOUT ANY WARRANTY; without even the implied warranty of
- * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
- * GNU General Public License for more details.
- *
- * You should have received a copy of the GNU General Public License
- * along with HELM; if not, write to the Free Software
- * Foundation, Inc., 59 Temple Place - Suite 330, Boston,
- * MA 02111-1307, USA.
- *
- * For details, see the HELM World-Wide-Web page,
- * http://cs.unibo.it/helm/.
- *)
-
-(* $Id$ *)
-
-(* TODO unify exceptions *)
-
-exception WrongUriToInductiveDefinition;;
-exception Impossible of int;;
-exception ReferenceToConstant;;
-exception ReferenceToVariable;;
-exception ReferenceToCurrentProof;;
-exception ReferenceToInductiveDefinition;;
-
-let debug = false
-let profile = false
-let debug_print s = if debug then prerr_endline (Lazy.force s)
-
-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
- in
- if !fdebug = 0 then
- debug_print (lazy (s ^ "\n" ^ List.fold_right debug_aux (t::env) ""))
-;;
-
-module type Strategy =
- sig
- type stack_term
- type env_term
- type ens_term
- type config = int * env_term list * ens_term Cic.explicit_named_substitution * Cic.term * stack_term list
- val to_env : config -> env_term
- val to_ens : config -> ens_term
- val from_stack : stack_term -> config
- val from_stack_list_for_unwind :
- unwind: (config -> Cic.term) ->
- stack_term list -> Cic.term list
- val from_env : env_term -> config
- val from_env_for_unwind :
- unwind: (config -> Cic.term) ->
- env_term -> Cic.term
- val from_ens : ens_term -> config
- val from_ens_for_unwind :
- unwind: (config -> Cic.term) ->
- ens_term -> Cic.term
- val stack_to_env :
- reduce: (config -> config) ->
- unwind: (config -> Cic.term) ->
- stack_term -> env_term
- val compute_to_env :
- reduce: (config -> config) ->
- unwind: (config -> Cic.term) ->
- int -> env_term list -> ens_term Cic.explicit_named_substitution ->
- Cic.term -> env_term
- val compute_to_stack :
- reduce: (config -> config) ->
- unwind: (config -> Cic.term) ->
- config -> stack_term
- 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
-;;
-
-
-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 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
- 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
- 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 rec 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_for_unwind ~unwind (List.nth e (n-m-1)))
- with _ -> None
- in
- (match d with
- Some t' ->
- if m = 0 then t' else S.lift m t'
- | None -> C.Rel (n-k)
- )
- | C.Var (uri,exp_named_subst) ->
-(*
-debug_print (lazy ("%%%%%UWVAR " ^ String.concat " ; " (List.map (function (uri,t) -> UriManager.string_of_uri uri ^ " := " ^ CicPp.ppterm t) ens))) ;
-*)
- if List.exists (function (uri',_) -> UriManager.eq uri' uri) ens then
- CicSubstitution.lift m (RS.from_ens_for_unwind ~unwind (List.assq uri ens))
- else
- let params =
- let o,_ =
- CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
- in
- (match o with
- C.Constant _ -> raise ReferenceToConstant
- | C.Variable (_,_,_,params,_) -> params
- | C.CurrentProof _ -> raise ReferenceToCurrentProof
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- )
- in
- let exp_named_subst' =
- substaux_in_exp_named_subst params exp_named_subst m
- in
- C.Var (uri,exp_named_subst')
- | C.Meta (i,l) ->
- let l' =
- List.map
- (function
- None -> None
- | Some t -> Some (unwind_aux m t)
- ) l
- in
- C.Meta (i, l')
- | C.Sort _ as t -> t
- | C.Implicit _ as t -> t
- | C.Cast (te,ty) -> C.Cast (unwind_aux m te, unwind_aux m ty) (*CSC ???*)
- | C.Prod (n,s,t) -> C.Prod (n, unwind_aux m s, unwind_aux (m + 1) t)
- | C.Lambda (n,s,t) -> C.Lambda (n, unwind_aux m s, unwind_aux (m + 1) t)
- | C.LetIn (n,s,t) -> C.LetIn (n, unwind_aux m s, unwind_aux (m + 1) t)
- | C.Appl l -> C.Appl (List.map (unwind_aux m) l)
- | C.Const (uri,exp_named_subst) ->
- let params =
- let o,_ =
- CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
- in
- (match o with
- C.Constant (_,_,_,params,_) -> params
- | C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof (_,_,_,_,params,_) -> params
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- )
- in
- let exp_named_subst' =
- substaux_in_exp_named_subst params exp_named_subst m
- in
- C.Const (uri,exp_named_subst')
- | C.MutInd (uri,i,exp_named_subst) ->
- let params =
- let o,_ =
- CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
- in
- (match o with
- C.Constant _ -> raise ReferenceToConstant
- | C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof _ -> raise ReferenceToCurrentProof
- | C.InductiveDefinition (_,params,_,_) -> params
- )
- in
- let exp_named_subst' =
- substaux_in_exp_named_subst params exp_named_subst m
- in
- C.MutInd (uri,i,exp_named_subst')
- | C.MutConstruct (uri,i,j,exp_named_subst) ->
- let params =
- let o,_ =
- CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
- in
- (match o with
- C.Constant _ -> raise ReferenceToConstant
- | C.Variable _ -> raise ReferenceToVariable
- | C.CurrentProof _ -> raise ReferenceToCurrentProof
- | C.InductiveDefinition (_,params,_,_) -> params
- )
- in
- let exp_named_subst' =
- substaux_in_exp_named_subst params exp_named_subst m
- in
- C.MutConstruct (uri,i,j,exp_named_subst')
- | C.MutCase (sp,i,outt,t,pl) ->
- C.MutCase (sp,i,unwind_aux m outt, unwind_aux m t,
- List.map (unwind_aux m) pl)
- | C.Fix (i,fl) ->
- let len = List.length fl in
- let substitutedfl =
- List.map
- (fun (name,i,ty,bo) ->
- (name, i, unwind_aux m ty, unwind_aux (m+len) bo))
- fl
- in
- C.Fix (i, substitutedfl)
- | C.CoFix (i,fl) ->
- let len = List.length fl in
- let substitutedfl =
- List.map
- (fun (name,ty,bo) -> (name, unwind_aux m ty, unwind_aux (m+len) bo))
- fl
- in
- C.CoFix (i, substitutedfl)
- and substaux_in_exp_named_subst params exp_named_subst' m =
- (*CSC: Idea di Andrea di ordinare compatibilmente con l'ordine dei params
- let ens' =
- List.map (function (uri,t) -> uri, unwind_aux m t) exp_named_subst' @
- (*CSC: qui liftiamo tutti gli ens anche se magari me ne servono la meta'!!! *)
- List.map (function (uri,t) -> uri, CicSubstitution.lift m t) ens
- in
- let rec filter_and_lift =
- function
- [] -> []
- | uri::tl ->
- let r = filter_and_lift tl in
- (try
- (uri,(List.assq uri ens'))::r
- with
- Not_found -> r
- )
- in
- filter_and_lift params
- *)
-
- (*CSC: invece di concatenare sarebbe meglio rispettare l'ordine dei params *)
- (*CSC: e' vero???? una veloce prova non sembra confermare la teoria *)
-
- (*CSC: codice copiato e modificato dalla cicSubstitution.subst_vars *)
- (*CSC: codice altamente inefficiente *)
- let rec filter_and_lift already_instantiated =
- function
- [] -> []
- | (uri,t)::tl when
- List.for_all
- (function (uri',_)-> not (UriManager.eq uri uri')) exp_named_subst'
- &&
- not (List.mem uri already_instantiated)
- &&
- List.mem uri params
- ->
- (uri,CicSubstitution.lift m (RS.from_ens_for_unwind ~unwind t)) ::
- (filter_and_lift (uri::already_instantiated) tl)
- | _::tl -> filter_and_lift already_instantiated tl
-(*
- | (uri,_)::tl ->
-debug_print (lazy ("---- SKIPPO " ^ UriManager.string_of_uri uri)) ;
-if List.for_all (function (uri',_) -> not (UriManager.eq uri uri'))
-exp_named_subst' then debug_print (lazy "---- OK1") ;
-debug_print (lazy ("++++ uri " ^ UriManager.string_of_uri uri ^ " not in " ^ String.concat " ; " (List.map UriManager.string_of_uri params))) ;
-if List.mem uri params then debug_print (lazy "---- OK2") ;
- filter_and_lift tl
-*)
- in
- List.map (function (uri,t) -> uri, unwind_aux m t) exp_named_subst' @
- (filter_and_lift [] (List.rev ens))
- in
- unwind_aux m t
-
- and unwind (k,e,ens,t,s) =
- let t' = unwind' 0 k e ens t in
- if s = [] then t' else Cic.Appl (t'::(RS.from_stack_list_for_unwind ~unwind s))
- ;;
-
-(*
- let unwind =
- let profiler_unwind = HExtlib.profile ~enable:profile "are_convertible.unwind" in
- fun k e ens t ->
- profiler_unwind.HExtlib.profile (unwind k e ens) t
- ;;
-*)
-
- let reduce ~delta ?(subst = []) context : config -> config =
- let module C = Cic in
- let module S = CicSubstitution in
- let rec reduce =
- function
- (k, e, _, C.Rel n, s) as config ->
- let config' =
- try
- Some (RS.from_env (List.nth e (n-1)))
- with
- Failure _ ->
- try
- begin
- match List.nth context (n - 1 - k) with
- None -> assert false
- | Some (_,C.Decl _) -> None
- | Some (_,C.Def (x,_)) -> Some (0,[],[],S.lift (n - k) x,[])
- end
- with
- Failure _ -> None
- in
- (match config' with
- Some (k',e',ens',t',s') -> reduce (k',e',ens',t',s'@s)
- | None -> config)
- | (k, e, ens, C.Var (uri,exp_named_subst), s) as config ->
- if List.exists (function (uri',_) -> UriManager.eq uri' uri) ens then
- let (k',e',ens',t',s') = RS.from_ens (List.assq uri ens) in
- reduce (k',e',ens',t',s'@s)
- else
- ( let o,_ =
- CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
- in
- match o with
- C.Constant _ -> raise ReferenceToConstant
- | C.CurrentProof _ -> raise ReferenceToCurrentProof
- | C.InductiveDefinition _ -> raise ReferenceToInductiveDefinition
- | C.Variable (_,None,_,_,_) -> config
- | 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 (n,l), s) as config ->
- (try
- let (_, term,_) = CicUtil.lookup_subst n subst in
- reduce (k, e, ens,CicSubstitution.subst_meta l term,s)
- with CicUtil.Subst_not_found _ -> config)
- | (_, _, _, C.Sort _, _)
- | (_, _, _, C.Implicit _, _) as config -> config
- | (k, e, ens, C.Cast (te,ty), s) ->
- reduce (k, e, ens, te, s)
- | (_, _, _, C.Prod _, _) as config -> config
- | (_, _, _, C.Lambda _, []) as config -> config
- | (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), s) ->
- let m' = RS.compute_to_env ~reduce ~unwind k e ens m in
- reduce (k+1, m'::e, ens, t, s)
- | (_, _, _, C.Appl [], _) -> assert false
- | (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)
- | (_, _, _, C.Const _, _) as config when delta=false-> config
- | (k, e, ens, C.Const (uri,exp_named_subst), s) as config ->
- (let o,_ =
- CicEnvironment.get_cooked_obj CicUniv.empty_ugraph uri
- in
- match o 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,_,_,_) -> config
- | 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
- )
- | (_, _, _, C.MutInd _, _)
- | (_, _, _, C.MutConstruct _, _) as config -> config
- | (k, e, ens, C.MutCase (mutind,i,outty,term,pl),s) as config ->
- let decofix =
- function
- (k, e, ens, C.CoFix (i,fl), s) ->
- 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,ens,body',s)
- | config -> config
- in
- (match decofix (reduce (k,e,ens,term,[])) with
- (k', e', ens', C.MutConstruct (_,_,j,_), []) ->
- reduce (k, e, ens, (List.nth pl (j-1)), [])
- | (k', e', ens', C.MutConstruct (_,_,j,_), s') ->
- let (arity, r) =
- let o,_ =
- CicEnvironment.get_cooked_obj CicUniv.empty_ugraph mutind
- in
- match o with
- C.InductiveDefinition (s,ingredients,r,_) ->
- let (_,_,arity,_) = List.nth s 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::s) when n > 0 -> eat_first (n - 1, s)
- | _ -> raise (Impossible 5)
- in
- eat_first (num_to_eat,s')
- in
- reduce (k, e, ens, (List.nth pl (j-1)), ts@s)
- | (_, _, _, C.Cast _, _)
- | (_, _, _, C.Implicit _, _) ->
- raise (Impossible 2) (* we don't trust our whd ;-) *)
- | config' ->
- (*CSC: here I am unwinding the configuration and for sure I
- will do it twice; to avoid this unwinding I should push the
- "match [] with _" continuation on the stack;
- another possibility is to just return the original configuration,
- partially undoing the weak-head computation *)
- (*this code is uncorrect since term' lives in e' <> e
- let term' = unwind config' in
- (k, e, ens, C.MutCase (mutind,i,outty,term',pl),s)
- *)
- config)
- | (k, e, ens, C.Fix (i,fl), s) as config ->
- let (_,recindex,_,body) = List.nth fl i in
- let recparam =
- try
- Some (RS.from_stack (List.nth s recindex))
- with
- _ -> None
- in
- (match recparam with
- Some recparam ->
- (match reduce recparam with
- (_,_,_,C.MutConstruct _,_) as config ->
- let leng = List.length 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 (k,e,ens,C.Fix (!counter -1, fl),[]))::e))
- in
- build_env e
- in
- let rec replace i s t =
- match i,s with
- 0,_::tl -> t::tl
- | n,he::tl -> he::(replace (n - 1) tl t)
- | _,_ -> assert false in
- let new_s =
- replace recindex s (RS.compute_to_stack ~reduce ~unwind config)
- in
- reduce (k+leng, new_env, ens, body, new_s)
- | _ -> config)
- | None -> config
- )
- | (_,_,_,C.CoFix _,_) as config -> config
- and push_exp_named_subst k e ens =
- function
- [] -> ens
- | (uri,t)::tl ->
- push_exp_named_subst k e ((uri,RS.to_ens (k,e,ens,t,[]))::ens) tl
- in
- reduce
- ;;
-
- let whd ?(delta=true) ?(subst=[]) context t =
- unwind (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(ClosuresOnStackByValueFromEnvOrEnsStrategy);;*)
-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
-
-(* t1, t2 must be well-typed *)
-let are_convertible whd ?(subst=[]) ?(metasenv=[]) =
- let rec aux test_equality_only context t1 t2 ugraph =
- let aux2 test_equality_only t1 t2 ugraph =
-
- (* 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,ugraph
- else
- begin
- let module C = Cic in
- match (t1,t2) with
- (C.Rel n1, C.Rel n2) -> (n1 = n2),ugraph
- | (C.Var (uri1,exp_named_subst1), C.Var (uri2,exp_named_subst2)) ->
- if U.eq uri1 uri2 then
- (try
- List.fold_right2
- (fun (uri1,x) (uri2,y) (b,ugraph) ->
- let b',ugraph' = aux test_equality_only context x y ugraph in
- (U.eq uri1 uri2 && b' && b),ugraph'
- ) exp_named_subst1 exp_named_subst2 (true,ugraph)
- with
- Invalid_argument _ -> false,ugraph
- )
- else
- false,ugraph
- | (C.Meta (n1,l1), C.Meta (n2,l2)) ->
- if n1 = n2 then
- let b2, ugraph1 =
- let l1 = CicUtil.clean_up_local_context subst metasenv n1 l1 in
- let l2 = CicUtil.clean_up_local_context subst metasenv n2 l2 in
- List.fold_left2
- (fun (b,ugraph) t1 t2 ->
- if b then
- match t1,t2 with
- None,_
- | _,None -> true,ugraph
- | Some t1',Some t2' ->
- aux test_equality_only context t1' t2' ugraph
- else
- false,ugraph
- ) (true,ugraph) l1 l2
- in
- if b2 then true,ugraph1 else false,ugraph
- else
- false,ugraph
- (* TASSI: CONSTRAINTS *)
- | (C.Sort (C.Type t1), C.Sort (C.Type t2)) when test_equality_only ->
- true,(CicUniv.add_eq t2 t1 ugraph)
- (* TASSI: CONSTRAINTS *)
- | (C.Sort (C.Type t1), C.Sort (C.Type t2)) ->
- true,(CicUniv.add_ge t2 t1 ugraph)
- (* TASSI: CONSTRAINTS *)
- | (C.Sort s1, C.Sort (C.Type _)) -> (not test_equality_only),ugraph
- (* TASSI: CONSTRAINTS *)
- | (C.Sort s1, C.Sort s2) -> (s1 = s2),ugraph
- | (C.Prod (name1,s1,t1), C.Prod(_,s2,t2)) ->
- let b',ugraph' = aux true context s1 s2 ugraph in
- if b' then
- aux test_equality_only ((Some (name1, (C.Decl s1)))::context)
- t1 t2 ugraph'
- else
- false,ugraph
- | (C.Lambda (name1,s1,t1), C.Lambda(_,s2,t2)) ->
- let b',ugraph' = aux test_equality_only context s1 s2 ugraph in
- if b' then
- aux test_equality_only ((Some (name1, (C.Decl s1)))::context)
- t1 t2 ugraph'
- else
- false,ugraph
- | (C.LetIn (name1,s1,t1), C.LetIn(_,s2,t2)) ->
- let b',ugraph' = aux test_equality_only context s1 s2 ugraph in
- if b' then
- aux test_equality_only
- ((Some (name1, (C.Def (s1,None))))::context) t1 t2 ugraph'
- else
- false,ugraph
- | (C.Appl l1, C.Appl l2) ->
- (try
- List.fold_right2
- (fun x y (b,ugraph) ->
- if b then
- aux test_equality_only context x y ugraph
- else
- false,ugraph) l1 l2 (true,ugraph)
- with
- Invalid_argument _ -> false,ugraph
- )
- | (C.Const (uri1,exp_named_subst1), C.Const (uri2,exp_named_subst2)) ->
- let b' = U.eq uri1 uri2 in
- if b' then
- (try
- List.fold_right2
- (fun (uri1,x) (uri2,y) (b,ugraph) ->
- if b && U.eq uri1 uri2 then
- aux test_equality_only context x y ugraph
- else
- false,ugraph
- ) exp_named_subst1 exp_named_subst2 (true,ugraph)
- with
- Invalid_argument _ -> false,ugraph
- )
- else
- false,ugraph
- | (C.MutInd (uri1,i1,exp_named_subst1),
- C.MutInd (uri2,i2,exp_named_subst2)
- ) ->
- let b' = U.eq uri1 uri2 && i1 = i2 in
- if b' then
- (try
- List.fold_right2
- (fun (uri1,x) (uri2,y) (b,ugraph) ->
- if b && U.eq uri1 uri2 then
- aux test_equality_only context x y ugraph
- else
- false,ugraph
- ) exp_named_subst1 exp_named_subst2 (true,ugraph)
- with
- Invalid_argument _ -> false,ugraph
- )
- else
- false,ugraph
- | (C.MutConstruct (uri1,i1,j1,exp_named_subst1),
- C.MutConstruct (uri2,i2,j2,exp_named_subst2)
- ) ->
- let b' = U.eq uri1 uri2 && i1 = i2 && j1 = j2 in
- if b' then
- (try
- List.fold_right2
- (fun (uri1,x) (uri2,y) (b,ugraph) ->
- if b && U.eq uri1 uri2 then
- aux test_equality_only context x y ugraph
- else
- false,ugraph
- ) exp_named_subst1 exp_named_subst2 (true,ugraph)
- with
- Invalid_argument _ -> false,ugraph
- )
- else
- false,ugraph
- | (C.MutCase (uri1,i1,outtype1,term1,pl1),
- C.MutCase (uri2,i2,outtype2,term2,pl2)) ->
- let b' = U.eq uri1 uri2 && i1 = i2 in
- if b' then
- let b'',ugraph''=aux test_equality_only context
- outtype1 outtype2 ugraph in
- if b'' then
- let b''',ugraph'''= aux test_equality_only context
- term1 term2 ugraph'' in
- List.fold_right2
- (fun x y (b,ugraph) ->
- if b then
- aux test_equality_only context x y ugraph
- else
- false,ugraph)
- pl1 pl2 (b''',ugraph''')
- else
- false,ugraph
- else
- false,ugraph
- | (C.Fix (i1,fl1), C.Fix (i2,fl2)) ->
- let tys =
- List.map (function (n,_,ty,_) -> Some (C.Name n,(C.Decl ty))) fl1
- in
- if i1 = i2 then
- List.fold_right2
- (fun (_,recindex1,ty1,bo1) (_,recindex2,ty2,bo2) (b,ugraph) ->
- if b && recindex1 = recindex2 then
- let b',ugraph' = aux test_equality_only context ty1 ty2
- ugraph in
- if b' then
- aux test_equality_only (tys@context) bo1 bo2 ugraph'
- else
- false,ugraph
- else
- false,ugraph)
- fl1 fl2 (true,ugraph)
- else
- false,ugraph
- | (C.CoFix (i1,fl1), C.CoFix (i2,fl2)) ->
- let tys =
- List.map (function (n,ty,_) -> Some (C.Name n,(C.Decl ty))) fl1
- in
- if i1 = i2 then
- List.fold_right2
- (fun (_,ty1,bo1) (_,ty2,bo2) (b,ugraph) ->
- if b then
- let b',ugraph' = aux test_equality_only context ty1 ty2
- ugraph in
- if b' then
- aux test_equality_only (tys@context) bo1 bo2 ugraph'
- else
- false,ugraph
- else
- false,ugraph)
- fl1 fl2 (true,ugraph)
- else
- false,ugraph
- | (C.Cast _, _) | (_, C.Cast _)
- | (C.Implicit _, _) | (_, C.Implicit _) -> assert false
- | (_,_) -> false,ugraph
- end
- in
- debug t1 [t2] "PREWHD";
- let t1' = whd ?delta:(Some true) ?subst:(Some subst) context t1 in
- let t2' = whd ?delta:(Some true) ?subst:(Some subst) context t2 in
- debug t1' [t2'] "POSTWHD";
- aux2 test_equality_only t1' t2' ugraph
- in
- aux false (*c t1 t2 ugraph *)
-;;
-
-(* DEBUGGING ONLY
-let whd ?(delta=true) ?(subst=[]) context t =
- let res = whd ~delta ~subst context t in
- let rescsc = CicReductionNaif.whd ~delta ~subst context t in
- if not (fst (are_convertible CicReductionNaif.whd ~subst context res rescsc CicUniv.empty_ugraph)) then
- begin
- debug_print (lazy ("PRIMA: " ^ CicPp.ppterm t)) ;
- flush stderr ;
- debug_print (lazy ("DOPO: " ^ CicPp.ppterm res)) ;
- flush stderr ;
- debug_print (lazy ("CSC: " ^ CicPp.ppterm rescsc)) ;
- flush stderr ;
-fdebug := 0 ;
-let _ = are_convertible CicReductionNaif.whd ~subst context res rescsc CicUniv.empty_ugraph in
- assert false ;
- end
- else
- res
-;;
-*)
-
-let are_convertible = are_convertible whd
-
-let whd = R.whd
-
-(*
-let profiler_other_whd = HExtlib.profile ~enable:profile "~are_convertible.whd"
-let whd ?(delta=true) ?(subst=[]) context t =
- let foo () =
- whd ~delta ~subst context t
- in
- profiler_other_whd.HExtlib.profile foo ()
-*)
-
-let rec normalize ?(delta=true) ?(subst=[]) ctx term =
- let module C = Cic in
- let t = whd ~delta ~subst ctx term in
- let aux = normalize ~delta ~subst in
- let decl name t = Some (name, C.Decl t) in
- match t with
- | C.Rel n -> t
- | C.Var (uri,exp_named_subst) ->
- C.Var (uri, List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
- | C.Meta (i,l) ->
- C.Meta (i,List.map (function Some t -> Some (aux ctx t) | None -> None) l)
- | C.Sort _ -> t
- | C.Implicit _ -> t
- | C.Cast (te,ty) -> C.Cast (aux ctx te, aux ctx ty)
- | C.Prod (n,s,t) ->
- let s' = aux ctx s in
- C.Prod (n, s', aux ((decl n s')::ctx) t)
- | C.Lambda (n,s,t) ->
- let s' = aux ctx s in
- C.Lambda (n, s', aux ((decl n s')::ctx) t)
- | C.LetIn (n,s,t) ->
- (* the term is already in weak head normal form *)
- assert false
- | C.Appl (h::l) -> C.Appl (h::(List.map (aux ctx) l))
- | C.Appl [] -> assert false
- | C.Const (uri,exp_named_subst) ->
- C.Const (uri, List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
- | C.MutInd (uri,typeno,exp_named_subst) ->
- C.MutInd (uri,typeno, List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
- | C.MutConstruct (uri,typeno,consno,exp_named_subst) ->
- C.MutConstruct (uri, typeno, consno,
- List.map (fun (n,t) -> n,aux ctx t) exp_named_subst)
- | C.MutCase (sp,i,outt,t,pl) ->
- C.MutCase (sp,i, aux ctx outt, aux ctx t, List.map (aux ctx) pl)
-(*CSC: to be completed, I suppose *)
- | C.Fix _ -> t
- | C.CoFix _ -> t
-
-let normalize ?delta ?subst ctx term =
-(* prerr_endline ("NORMALIZE:" ^ CicPp.ppterm term); *)
- let t = normalize ?delta ?subst ctx term in
-(* prerr_endline ("NORMALIZED:" ^ CicPp.ppterm t); *)
- t
-
-
-(* performs an head beta/cast reduction *)
-let rec head_beta_reduce =
- function
- (Cic.Appl (Cic.Lambda (_,_,t)::he'::tl')) ->
- let he'' = CicSubstitution.subst he' t in
- if tl' = [] then
- he''
- else
- let he''' =
- match he'' with
- Cic.Appl l -> Cic.Appl (l@tl')
- | _ -> Cic.Appl (he''::tl')
- in
- head_beta_reduce he'''
- | Cic.Cast (te,_) -> head_beta_reduce te
- | t -> t
projects / helm.git / blobdiff