--- /dev/null
+(*
+ ||M|| This file is part of HELM, an Hypertextual, Electronic
+ ||A|| Library of Mathematics, developed at the Computer Science
+ ||T|| Department, University of Bologna, Italy.
+ ||I||
+ ||T|| HELM is free software; you can redistribute it and/or
+ ||A|| modify it under the terms of the GNU General Public License
+ \ / version 2 or (at your option) any later version.
+ \ / This software is distributed as is, NO WARRANTY.
+ V_______________________________________________________________ *)
+
+(* $Id: nCic.ml 9058 2008-10-13 17:42:30Z tassi $ *)
+
+exception Error of string lazy_t
+let fail msg = raise (Error msg)
+
+type lowtac_status = {
+ pstatus : NCic.obj;
+ lstatus : LexiconEngine.status
+}
+
+type lowtactic = lowtac_status -> int -> lowtac_status
+
+type tac_status = {
+ gstatus : Continuationals.Stack.t;
+ istatus : lowtac_status;
+}
+
+type tactic = tac_status -> tac_status
+
+type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
+type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
+
+let pp_tac_status status =
+ prerr_endline (NCicPp.ppobj status.istatus.pstatus)
+;;
+
+let pp_lowtac_status status =
+ prerr_endline "--------------------------------------------";
+ prerr_endline (NCicPp.ppobj status.pstatus)
+;;
+
+type cic_term = NCic.conjecture (* name, context, term *)
+let ctx_of (_,c,_) = c ;;
+
+let relocate context (name,ctx,t as term) =
+ let is_prefix l1 l2 =
+ let rec aux = function
+ | [],[] -> true
+ | x::xs, y::ys -> x=y && aux (xs,ys)
+ | _ -> false
+ in
+ aux (List.rev l1, List.rev l2)
+ in
+ if ctx == context then term else
+ if ctx = context then term else
+ if is_prefix ctx context then
+ (name, context,
+ NCicSubstitution.lift (List.length context - List.length ctx) t)
+ else
+ assert false
+;;
+
+
+type ast_term = string * int * CicNotationPt.term
+
+let disambiguate (status : lowtac_status) (t : ast_term)
+ (ty : cic_term option) context =
+ let uri,height,metasenv,subst,obj = status.pstatus in
+ let expty =
+ match ty with
+ | None -> None | Some ty -> let _,_,x = relocate context ty in Some x
+ in
+ let metasenv, subst, lexicon_status, t =
+ GrafiteDisambiguate.disambiguate_nterm expty
+ status.lstatus context metasenv subst t
+ in
+ let new_pstatus = uri,height,metasenv,subst,obj in
+ { lstatus = lexicon_status; pstatus = new_pstatus }, (None, context, t)
+;;
+
+let typeof status ctx t =
+ let _,_,metasenv,subst,_ = status.pstatus in
+ let _,_,t = relocate ctx t in
+ let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
+ None, ctx, ty
+;;
+
+let whd status ?delta ctx t =
+ let _,_,metasenv,subst,_ = status.pstatus in
+ let name,_,t = relocate ctx t in
+ let t = NCicReduction.whd ~subst ?delta ctx t in
+ name, ctx, t
+;;
+
+let unify status ctx a b =
+ let n,h,metasenv,subst,o = status.pstatus in
+ let _,_,a = relocate ctx a in
+ let _,_,b = relocate ctx b in
+ let metasenv, subst =
+ NCicUnification.unify (NCicUnifHint.db ()) metasenv subst ctx a b
+ in
+ { status with pstatus = n,h,metasenv,subst,o }
+;;
+
+let refine status ctx term expty =
+ let nt,_,term = relocate ctx term in
+ let ne, expty =
+ match expty with None -> None, None
+ | Some e -> let n,_, e = relocate ctx e in n, Some e
+ in
+ let name,height,metasenv,subst,obj = status.pstatus in
+ let db = NCicUnifHint.db () in (* XXX fixme *)
+ let coercion_db = NCicCoercion.db () in
+ let look_for_coercion = NCicCoercion.look_for_coercion coercion_db in
+ let metasenv, subst, t, ty =
+ NCicRefiner.typeof db ~look_for_coercion metasenv subst ctx term expty
+ in
+ { status with pstatus = (name,height,metasenv,subst,obj) },
+ (nt,ctx,t), (ne,ctx,ty)
+;;
+
+let get_goalty (status : lowtac_status) (g : int) =
+ let _,_,metasenv,_,_ = status.pstatus in
+ List.assoc g metasenv
+;;
+
+let instantiate status i t =
+ let (gname, context, _ as gty) = get_goalty status i in
+ let status, (_,_,t), (_,_,ty) =
+ refine status (ctx_of gty) t (Some gty)
+ in
+
+ let name,height,metasenv,subst,obj = status.pstatus in
+ let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
+ let subst = (i, (gname, context, t, ty)) :: subst in
+ { status with pstatus = (name,height,metasenv,subst,obj) }
+;;
+
+let mk_meta status ?name ctx bo_or_ty =
+ let n,h,metasenv,subst,o = status.pstatus in
+ match bo_or_ty with
+ | `Decl ty ->
+ let _,_,ty = relocate ctx ty in
+ let metasenv, _, instance, _ =
+ NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
+ in
+ let status = { status with pstatus = n,h,metasenv,subst,o } in
+ status, (None,ctx,instance)
+ | `Def bo ->
+ let _,_,bo_ as bo = relocate ctx bo in
+ let _,_,ty = typeof status ctx bo in
+ let metasenv, metano, instance, _ =
+ NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty) in
+ let metasenv = List.filter (fun j,_ -> j <> metano) metasenv in
+ let subst = (metano, (name, ctx, bo_, ty)) :: subst in
+ let status = { status with pstatus = n,h,metasenv,subst,o } in
+ status, (None,ctx,instance)
+;;
+
+let in_scope_tag = "tag:in_scope" ;;
+let out_scope_tag = "tag:out_scope" ;;
+
+let select_term low_status (name,context,term) (wanted,path) =
+ let found status ctx t wanted =
+ (* we could lift wanted step-by-step *)
+ try true, unify status ctx (None, ctx, t) wanted
+ with
+ | NCicUnification.UnificationFailure _
+ | NCicUnification.Uncertain _ -> false, status
+ in
+ let match_term status ctx (wanted : cic_term) t =
+ let rec aux ctx status t =
+ let b, status = found status ctx t wanted in
+ if b then
+ let status, (_,_,t) =
+ mk_meta status ~name:in_scope_tag ctx (`Def (None, ctx, t))
+ in
+ status, t
+ else NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux status t
+ in
+ aux ctx status t
+ in
+ let rec select status ctx pat cic =
+ match pat, cic with
+ | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
+ let status, t = select status ctx t1 t2 in
+ let status, s = select status ctx s1 s2 in
+ let ctx = (n, NCic.Def (s2,t2)) :: ctx in
+ let status, b = select status ctx b1 b2 in
+ status, NCic.LetIn (n,t,s,b)
+ | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
+ let status, s = select status ctx s1 s2 in
+ let ctx = (n, NCic.Decl s2) :: ctx in
+ let status, t = select status ctx t1 t2 in
+ status, NCic.Lambda (n,s,t)
+ | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
+ let status, s = select status ctx s1 s2 in
+ let ctx = (n, NCic.Decl s2) :: ctx in
+ let status, t = select status ctx t1 t2 in
+ status, NCic.Prod (n,s,t)
+ | NCic.Appl l1, NCic.Appl l2 ->
+ let status, l =
+ List.fold_left2
+ (fun (status,l) x y ->
+ let status, x = select status ctx x y in
+ status, x::l)
+ (status,[]) l1 l2
+ in
+ status, NCic.Appl (List.rev l)
+ | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
+ let status, t = select status ctx t1 t2 in
+ let status, ot = select status ctx ot1 ot2 in
+ let status, pl =
+ List.fold_left2
+ (fun (status,l) x y ->
+ let status, x = select status ctx x y in
+ status, x::l)
+ (status,[]) pl1 pl2
+ in
+ status, NCic.Match (u,ot,t,List.rev pl)
+ | NCic.Implicit `Hole, t ->
+ (match wanted with
+ | Some wanted ->
+ let status, wanted = disambiguate status wanted None ctx in
+ match_term status ctx wanted t
+ | None -> match_term status ctx (None,ctx,t) t)
+ | NCic.Implicit _, t -> status, t
+ | _,t ->
+ fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
+ ~context:[] ~subst:[] pat))
+ in
+ let status, term = select low_status context path term in
+ let term = (name, context, term) in
+ mk_meta status ~name:out_scope_tag context (`Def term)
+;;
+
+let analyse_indty status ty =
+ let ref, args =
+ match whd status (ctx_of ty) ty with
+ | _,_,NCic.Const ref -> ref, []
+ | _,_,NCic.Appl (NCic.Const ref :: args) -> ref, args
+ | _,_,_ -> fail (lazy ("not an inductive type")) in
+ let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
+ let _,_,_,cl = List.nth tl i in
+ let consno = List.length cl in
+ let left, right = HExtlib.split_nth lno args in
+ ref, consno, left, right
+;;
+
+let mk_cic_term c t = None,c,t ;;
let debug = true
let debug_print s = if debug then prerr_endline (Lazy.force s) else ()
-exception Error of string lazy_t
-let fail msg = raise (Error msg)
-
-type lowtac_status = {
- pstatus : NCic.obj;
- lstatus : LexiconEngine.status
-}
-
-type lowtactic = lowtac_status -> int -> lowtac_status
-
-type tac_status = {
- gstatus : Continuationals.Stack.t;
- istatus : lowtac_status;
-}
-
-type tactic = tac_status -> tac_status
-
-type tactic_term = CicNotationPt.term Disambiguate.disambiguator_input
-type tactic_pattern = GrafiteAst.npattern Disambiguate.disambiguator_input
-
-let pp_tac_status status =
- prerr_endline (NCicPp.ppobj status.istatus.pstatus)
-;;
-
-let pp_lowtac_status status =
- prerr_endline "--------------------------------------------";
- prerr_endline (NCicPp.ppobj status.pstatus)
-;;
-
open Continuationals.Stack
+open NTacStatus
let dot_tac status =
let new_gstatus =
{ gstatus = stack; istatus = sn }
;;
-type cic_term = NCic.conjecture
-type ast_term = string * int * CicNotationPt.term
-type position = [ `Ctx of NCic.context | `Term of cic_term ]
-
-
-let relocate context (name,ctx,t as term) =
- let is_prefix l1 l2 =
- let rec aux = function
- | [],[] -> true
- | x::xs, y::ys -> x=y && aux (xs,ys)
- | _ -> false
- in
- aux (List.rev l1, List.rev l2)
- in
- if ctx = context then term else
- if is_prefix ctx context then
- (name, context,
- NCicSubstitution.lift (List.length context - List.length ctx) t)
- else
- assert false
-;;
-
-let disambiguate (status : lowtac_status) (t : ast_term)
- (ty : cic_term option) (where : position) =
- let uri,height,metasenv,subst,obj = status.pstatus in
- let context = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let expty =
- match ty with
- | None -> None | Some ty -> let _,_,x = relocate context ty in Some x
- in
- let metasenv, subst, lexicon_status, t =
- GrafiteDisambiguate.disambiguate_nterm expty
- status.lstatus context metasenv subst t
- in
- let new_pstatus = uri,height,metasenv,subst,obj in
- { lstatus = lexicon_status; pstatus = new_pstatus }, (None, context, t)
-;;
-
-let in_scope_tag = "tag:in_scope" ;;
-let out_scope_tag = "tag:out_scope" ;;
-
-let typeof status where t =
- let _,_,metasenv,subst,_ = status.pstatus in
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let _,_,t = relocate ctx t in
- let ty = NCicTypeChecker.typeof ~subst ~metasenv ctx t in
- None, ctx, ty
-;;
-
-let whd status ?delta where t =
- let _,_,metasenv,subst,_ = status.pstatus in
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let _,_,t = relocate ctx t in
- let t = NCicReduction.whd ~subst ?delta ctx t in
- None, ctx, t
-;;
-
-let unify status where a b =
- let n,h,metasenv,subst,o = status.pstatus in
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let _,_,a = relocate ctx a in
- let _,_,b = relocate ctx b in
- let metasenv, subst =
- NCicUnification.unify (NCicUnifHint.db ()) metasenv subst ctx a b
- in
- { status with pstatus = n,h,metasenv,subst,o }
-;;
-
-let refine status where term expty =
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- let nt,_,term = relocate ctx term in
- let ne, ty =
- match expty with None -> None, None
- | Some e -> let n,_, e = relocate ctx e in Some n, Some e
- in
- let name,height,metasenv,subst,obj = status.pstatus in
- let db = NCicUnifHint.db () in (* XXX fixme *)
- let coercion_db = NCicCoercion.db () in
- let look_for_coercion = NCicCoercion.look_for_coercion coercion_db in
- let metasenv, subst, t, ty =
- NCicRefiner.typeof db ~look_for_coercion metasenv subst ctx term ty
- in
- { status with pstatus = (name,height,metasenv,subst,obj) },
- (nt,ctx,t), (ne,ctx,ty)
-;;
-
-let get_goal (status : lowtac_status) (g : int) =
- let _,_,metasenv,_,_ = status.pstatus in
- List.assoc g metasenv
-;;
-
-let instantiate status i t =
- let (goalname, context, _ as ety) = get_goal status i in
- let status, (_,_,t), (_,_,ty) = refine status (`Term ety) t (Some ety) in
-
- let name,height,metasenv,subst,obj = status.pstatus in
- let metasenv = List.filter (fun j,_ -> j <> i) metasenv in
- let subst = (i, (goalname, context, t, ty)) :: subst in
- { status with pstatus = (name,height,metasenv,subst,obj) }
-;;
-
-let mk_meta status ?name where bo_or_ty =
- let n,h,metasenv,subst,o = status.pstatus in
- let ctx = match where with `Ctx c -> c | `Term (_,c,_) -> c in
- match bo_or_ty with
- | `Decl ty ->
- let _,_,ty = relocate ctx ty in
- let metasenv, _, instance, _ =
- NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
- in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
- status, (None,ctx,instance)
- | `Def bo ->
- let _,_,ty = typeof status (`Ctx ctx) bo in
- let metasenv, metano, instance, _ =
- NCicMetaSubst.mk_meta ?name metasenv ctx (`WithType ty)
- in
- let status = { status with pstatus = n,h,metasenv,subst,o } in
- let status = instantiate status metano bo in
- status, (None,ctx,instance)
-;;
-
-let select_term low_status (name,context,term) (wanted,path) =
- let found status ctx t wanted =
- (* we could lift wanted step-by-step *)
- try true, unify status (`Ctx ctx) (None,ctx,t) wanted
- with
- | NCicUnification.UnificationFailure _
- | NCicUnification.Uncertain _ -> false, status
- in
- let match_term status ctx (wanted : cic_term) t =
- let rec aux ctx status t =
- let b, status = found status ctx t wanted in
- if b then
- let status, (_,_,t) =
- mk_meta status ~name:in_scope_tag (`Ctx ctx) (`Def (None,ctx,t))
- in
- status, t
- else NCicUntrusted.map_term_fold_a (fun e c -> e::c) ctx aux status t
- in
- aux ctx status t
- in
- let rec select status ctx pat cic =
- match pat, cic with
- | NCic.LetIn (_,t1,s1,b1), NCic.LetIn (n,t2,s2,b2) ->
- let status, t = select status ctx t1 t2 in
- let status, s = select status ctx s1 s2 in
- let ctx = (n, NCic.Def (s2,t2)) :: ctx in
- let status, b = select status ctx b1 b2 in
- status, NCic.LetIn (n,t,s,b)
- | NCic.Lambda (_,s1,t1), NCic.Lambda (n,s2,t2) ->
- let status, s = select status ctx s1 s2 in
- let ctx = (n, NCic.Decl s2) :: ctx in
- let status, t = select status ctx t1 t2 in
- status, NCic.Lambda (n,s,t)
- | NCic.Prod (_,s1,t1), NCic.Prod (n,s2,t2) ->
- let status, s = select status ctx s1 s2 in
- let ctx = (n, NCic.Decl s2) :: ctx in
- let status, t = select status ctx t1 t2 in
- status, NCic.Prod (n,s,t)
- | NCic.Appl l1, NCic.Appl l2 ->
- let status, l =
- List.fold_left2
- (fun (status,l) x y ->
- let status, x = select status ctx x y in
- status, x::l)
- (status,[]) l1 l2
- in
- status, NCic.Appl (List.rev l)
- | NCic.Match (_,ot1,t1,pl1), NCic.Match (u,ot2,t2,pl2) ->
- let status, t = select status ctx t1 t2 in
- let status, ot = select status ctx ot1 ot2 in
- let status, pl =
- List.fold_left2
- (fun (status,l) x y ->
- let status, x = select status ctx x y in
- status, x::l)
- (status,[]) pl1 pl2
- in
- status, NCic.Match (u,ot,t,List.rev pl)
- | NCic.Implicit `Hole, t ->
- (match wanted with
- | Some wanted ->
- let status, wanted = disambiguate status wanted None (`Ctx ctx) in
- match_term status ctx wanted t
- | None -> match_term status ctx (None,ctx,t) t)
- | NCic.Implicit _, t -> status, t
- | _,t ->
- fail (lazy ("malformed pattern: " ^ NCicPp.ppterm ~metasenv:[]
- ~context:[] ~subst:[] pat))
- in
- let status, term = select low_status context path term in
- let term = (name, context, term) in
- mk_meta status ~name:out_scope_tag (`Ctx context) (`Def term)
-;;
let select ~where status goal =
- let name, _, _ as goalty = get_goal status goal in
+ let goalty = get_goalty status goal in
let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
let path =
match where with None -> NCic.Implicit `Term | Some where -> where
in
let status, newgoalty = select_term status goalty (wanted,path) in
let status, instance =
- mk_meta status ?name (`Term newgoalty) (`Decl newgoalty)
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
in
instantiate status goal instance
;;
let select_tac ~where = distribute_tac (select ~where) ;;
let exact t status goal =
- let goalty = get_goal status goal in
- let status, t = disambiguate status t (Some goalty) (`Term goalty) in
+ let goalty = get_goalty status goal in
+ let status, t = disambiguate status t (Some goalty) (ctx_of goalty) in
instantiate status goal t
;;
let n,h,metasenv,subst,o = status.pstatus in
let subst, newm =
List.partition
- (function (_,(Some tag,_,_,_)) -> tag <> in_scope_tag && tag <> out_scope_tag
+ (function (_,(Some tag,_,_,_)) ->
+ tag <> in_scope_tag && tag <> out_scope_tag
| _ -> true)
subst
in
;;
let change ~where ~with_what status goal =
- let (name,_,_ as goalty) = get_goal status goal in
+ let goalty = get_goalty status goal in
let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
let path =
match where with None -> NCic.Implicit `Term | Some where -> where
let status = List.fold_left (exact with_what) status in_scope in
let j,(n,cctx,bo,_) = out_scope in
- let _ = typeof status (`Term goalty) (n,cctx,bo) in
+ let _ = typeof status (ctx_of goalty) (Obj.magic (n,cctx,bo)) in
let n,h,metasenv,subst,o = status.pstatus in
let subst = out_scope :: subst in
let status = { status with pstatus = n,h,metasenv,subst,o } in
let status, instance =
- mk_meta status ?name (`Term newgoalty) (`Decl newgoalty)
+ mk_meta status (ctx_of newgoalty) (`Decl newgoalty)
in
instantiate status goal instance
;;
block_tac
[ select_tac ~where;
distribute_tac (fun status goal ->
- let goalty = get_goal status goal in
- let status, (_,_,w as what) =
- disambiguate status what None (`Term goalty) in
- let _ty_what = typeof status (`Term what) what in
+ let goalty = get_goalty status goal in
+ let status, what =
+ disambiguate status what None (ctx_of goalty) in
+ let _ty_what = typeof status (ctx_of what) what in
(* check inductive... find eliminator *)
let w = (*astify what *) CicNotationPt.Ident ("m",None) in
let holes = [
(CicNotationPt.Ident (name,None),None),CicNotationPt.Implicit)))
;;
-let analyse_indty status ty =
- let ref, args =
- match whd status (`Term ty) ty with
- | _,_,NCic.Const ref -> ref, []
- | _,_,NCic.Appl (NCic.Const ref :: args) -> ref, args
- | _,_,_ -> fail (lazy ("not an inductive type")) in
- let _,lno,tl,_,i = NCicEnvironment.get_checked_indtys ref in
- let _,_,_,cl = List.nth tl i in
- let consno = List.length cl in
- let left, right = HExtlib.split_nth lno args in
- ref, consno, left, right
-;;
-
-let case status goal =
- let _,ctx,_ = get_goal status goal in
- let ty = typeof status (`Ctx ctx) ("",ctx,NCic.Rel 1) in
+let case ~what status goal =
+ let gty = get_goalty status goal in
+ let status, what = disambiguate status what None (ctx_of gty) in
+ let ty = typeof status (ctx_of what) what in
let ref, consno, left, right = analyse_indty status ty in
let t =
NCic.Match (ref,NCic.Implicit `Term,NCic.Rel 1,
HExtlib.mk_list (NCic.Implicit `Term) consno)
in
- let status,t,ty = refine status (`Ctx ctx) ("",ctx,t) None in
+ let ctx = ctx_of gty in
+ let status,t,ty = refine status ctx (mk_cic_term ctx t) None in
instantiate status goal t
;;
-let case_tac = distribute_tac case;;
+let case_tac ~what = distribute_tac (case ~what);;
let case1_tac name =
- block_tac [ intro_tac name; case_tac ]
+ block_tac [ intro_tac name;
+ case_tac ~what:("",0,CicNotationPt.Ident (name,None)) ]
;;
projects / helm.git / commitdiff