open Printf
-let debug = true
+let debug = false
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
+module Ast = CicNotationPt
+
+let id_tac status = status ;;
+let print_tac print_status message status =
+ if print_status then pp_tac_status status;
+ prerr_endline message;
+ status
+;;
let dot_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| ([], _, [], _) :: _ as stack ->
(* backward compatibility: do-nothing-dot *)
(([ loc ], t, k, tag) :: s)
| _ -> fail (lazy "can't use \".\" here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
-let branch_tac status =
- let new_gstatus =
- match status.gstatus with
+let branch_tac ?(force=false) status =
+ let gstatus =
+ match status#stack with
| [] -> assert false
| (g, t, k, tag) :: s ->
match init_pos g with (* TODO *)
- | [] | [ _ ] -> fail (lazy "too few goals to branch");
+ | [] -> fail (lazy "empty goals")
+ | [_] when (not force) -> fail (lazy "too few goals to branch")
| loc :: loc_tl ->
([ loc ], [], [], `BranchTag) :: (loc_tl, t, k, tag) :: s
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let shift_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| (g, t, k, `BranchTag) :: (g', t', k', tag) :: s ->
(match g' with
| [] -> fail (lazy "no more goals to shift")
:: (loc_tl, t', k', tag) :: s))
| _ -> fail (lazy "can't shift goals here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let pos_tac i_s status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| ([ loc ], t, [],`BranchTag) :: (g', t', k', tag) :: s
when is_fresh loc ->
:: (([ loc ] @+ g') @- l_js, t', k', tag) :: s)
| _ -> fail (lazy "can't use relative positioning here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
+;;
+
+let case_tac lab status =
+ let gstatus =
+ match status#stack with
+ | [] -> assert false
+ | ([ loc ], t, [],`BranchTag) :: (g', t', k', tag) :: s
+ when is_fresh loc ->
+ let l_js =
+ List.filter
+ (fun curloc ->
+ let _,_,metasenv,_,_ = status#obj in
+ match NCicUtils.lookup_meta (goal_of_loc curloc) metasenv with
+ attrs,_,_ when List.mem (`Name lab) attrs -> true
+ | _ -> false) ([loc] @+ g') in
+ ((l_js, t , [],`BranchTag)
+ :: (([ loc ] @+ g') @- l_js, t', k', tag) :: s)
+ | _ -> fail (lazy "can't use relative positioning here")
+ in
+ status#set_stack gstatus
;;
let wildcard_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| ([ loc ] , t, [], `BranchTag) :: (g', t', k', tag) :: s
when is_fresh loc ->
(([loc] @+ g', t, [], `BranchTag) :: ([], t', k', tag) :: s)
| _ -> fail (lazy "can't use wildcard here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let merge_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| (g, t, k,`BranchTag) :: (g', t', k', tag) :: s ->
((t @+ filter_open g @+ g' @+ k, t', k', tag) :: s)
| _ -> fail (lazy "can't merge goals here")
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let focus_tac gs status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| s -> assert(gs <> []);
let stack_locs =
gs;
(zero_pos gs, [], [], `FocusTag) :: deep_close gs s
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let unfocus_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
- | ([], [], [], `FocusTag) :: s -> s
- | _ -> fail (lazy "can't unfocus, some goals are still open")
+ | (g, [], [], `FocusTag) :: s when filter_open g = [] -> s
+ | _ as s -> fail (lazy ("can't unfocus, some goals are still open:\n"^
+ Continuationals.Stack.pp s))
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let skip_tac status =
- let new_gstatus =
- match status.gstatus with
+ let gstatus =
+ match status#stack with
| [] -> assert false
| (gl, t, k, tag) :: s ->
let gl = List.map switch_of_loc gl in
else
([],t,k,tag) :: s
in
- { status with gstatus = new_gstatus }
+ status#set_stack gstatus
;;
let block_tac l status =
List.fold_left (fun status tac -> tac status) status l
;;
+
let compare_statuses ~past ~present =
- let _,_,past,_,_ = past.pstatus in
- let _,_,present,_,_ = present.pstatus in
- List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i past)) present),
+ let _,_,past,_,_ = past#obj in
+ let _,_,present,_,_ = present#obj in
+ List.map fst (List.filter (fun (i,_) -> not(List.mem_assoc i past)) present),
List.map fst (List.filter (fun (i,_) -> not (List.mem_assoc i present)) past)
;;
distribute_tac (exec tac) [s]::G = (G1@...Gn)::G'
3) tac G = distribute_tac (exec tac) G if
tac = distribute_tac lowtac
+ 4) atomic_tac t === distribute_tac (exec t)
Note that executing an high tactic on a set of goals may be stronger
than executing the same tactic on those goals, but once at a time
(e.g. the tactic could perform a global analysis of the set of goals)
*)
-let exec tac low_status g =
+let exec tac (low_status : #lowtac_status) g =
let stack = [ [0,Open g], [], [], `NoTag ] in
- let status = tac { gstatus = stack ; istatus = low_status } in
- status.istatus
+ let status =
+ (new NTacStatus.status low_status#obj stack)#set_estatus low_status
+ in
+ let status = tac status in
+ (low_status#set_estatus status)#set_obj status#obj
;;
-let distribute_tac tac status =
- match status.gstatus with
+let distribute_tac tac (status : #tac_status) =
+ match status#stack with
| [] -> assert false
| (g, t, k, tag) :: s ->
debug_print (lazy ("context length " ^string_of_int (List.length g)));
let rec aux s go gc =
function
- | [] -> s, go, gc
+ | [] ->
+ debug_print (lazy "no selected goals");
+ s, go, gc
| loc :: loc_tl ->
debug_print (lazy "inner eval tactical");
let s, go, gc =
| Open n ->
let sn = tac s n in
let go', gc' = compare_statuses ~past:s ~present:sn in
- sn, (go @- gc') @+ go', gc @+ gc'
+ sn, ((go @+ [n]) @- gc') @+ go', gc @+ gc'
in
aux s go gc loc_tl
in
- let s0, go0, gc0 = status.istatus, [], [] in
+ let s0 = (new NTacStatus.status status#obj ())#set_estatus status in
+ let s0, go0, gc0 = s0, [], [] in
let sn, gon, gcn = aux s0 go0 gc0 g in
debug_print (lazy ("opened: "
^ String.concat " " (List.map string_of_int gon)));
let stack =
(zero_pos gon, t @~- gcn, k @~- gcn, tag) :: deep_close gcn s
in
- { gstatus = stack; istatus = sn }
+ ((status#set_stack stack)#set_obj(sn:>lowtac_status)#obj)#set_estatus sn
;;
-type cic_term = NCic.conjecture
-type ast_term = string * int * CicNotationPt.term
-type position = [ `Ctx of NCic.context | `Term of cic_term ]
-
+let atomic_tac htac : #tac_status as 'a -> 'a = distribute_tac (exec htac) ;;
-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)
+let repeat_tac t s =
+ let rec repeat t (status : #tac_status as 'a) : 'a =
+ try repeat t (t status)
+ with NTacStatus.Error _ -> status
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
+ atomic_tac (repeat t) s
+;;
+
+
+let try_tac tac status =
+ let try_tac status =
+ try
+ tac status
+ with NTacStatus.Error _ ->
+ status
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 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
+ atomic_tac try_tac status
+;;
+
+let first_tac tacl status =
+ let res =
+ HExtlib.list_findopt
+ (fun tac _ -> try Some (tac status) with NTacStatus.Error _ -> None) tacl
in
- { status with pstatus = n,h,metasenv,subst,o }
+ match res with
+ | None -> fail (lazy "No tactics left")
+ | Some x -> x
;;
-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
+let exact_tac t : 's tactic = distribute_tac (fun status goal ->
+ instantiate_with_ast status goal t)
+;;
+
+let assumption_tac status = distribute_tac (fun status goal ->
+ let gty = get_goalty status goal in
+ let context = ctx_of gty in
+ let htac =
+ first_tac
+ (List.map (fun (name,_) -> exact_tac ("",0,(Ast.Ident (name,None))))
+ context)
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
+ exec htac status goal) status
+;;
+
+let find_in_context name context =
+ let rec aux acc = function
+ | [] -> raise Not_found
+ | (hd,_) :: tl when hd = name -> acc
+ | _ :: tl -> aux (acc + 1) tl
in
- { status with pstatus = (name,height,metasenv,subst,obj) },
- (nt,ctx,t), (ne,ctx,ty)
+ aux 1 context
;;
-let get_goal (status : lowtac_status) (g : int) =
- let _,_,metasenv,_,_ = status.pstatus in
- List.assoc g metasenv
+let clear_tac names =
+ if names = [] then id_tac
+ else
+ distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let js =
+ List.map
+ (fun name ->
+ try find_in_context name (ctx_of goalty)
+ with Not_found ->
+ fail (lazy ("hypothesis '" ^ name ^ "' not found")))
+ names
+ in
+ let n,h,metasenv,subst,o = status#obj in
+ let metasenv,subst,_,_ = NCicMetaSubst.restrict metasenv subst goal js in
+ status#set_obj (n,h,metasenv,subst,o))
;;
-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 generalize0_tac args =
+ if args = [] then id_tac
+ else exact_tac ("",0,Ast.Appl (Ast.Implicit `JustOne :: args))
+;;
- 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 select0_tac ~where:(wanted,hyps,where) ~job =
+ let found, postprocess =
+ match job with
+ | `Substexpand argsno -> mk_in_scope, mk_out_scope argsno
+ | `Collect l -> (fun s t -> l := t::!l; mk_in_scope s t), mk_out_scope 1
+ | `ChangeWith f -> f,(fun s t -> s, t)
+ in
+ distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where
+ in
+ let status, newgoalctx =
+ List.fold_right
+ (fun (name,d as entry) (status,ctx) ->
+ try
+ let path = List.assoc name hyps in
+ match d with
+ NCic.Decl ty ->
+ let status,ty =
+ select_term status ~found ~postprocess (mk_cic_term ctx ty)
+ (wanted,path) in
+ let status,ty = term_of_cic_term status ty ctx in
+ status,(name,NCic.Decl ty)::ctx
+ | NCic.Def (bo,ty) ->
+ let status,bo =
+ select_term status ~found ~postprocess (mk_cic_term ctx bo)
+ (wanted,path) in
+ let status,bo = term_of_cic_term status bo ctx in
+ status,(name,NCic.Def (bo,ty))::ctx
+ with
+ Not_found -> status, entry::ctx
+ ) (ctx_of goalty) (status,[])
+ in
+ let status, newgoalty =
+ select_term status ~found ~postprocess goalty (wanted,path) in
+ (* WARNING: the next two lines simply change the context of newgoalty
+ from the old to the new one. Otherwise mk_meta will do that herself,
+ calling relocate that calls delift. However, newgoalty is now
+ ?[out_scope] and thus the delift would trigger the special unification
+ case, which is wrong now :-( *)
+ let status,newgoalty = term_of_cic_term status newgoalty (ctx_of goalty) in
+ let newgoalty = mk_cic_term newgoalctx newgoalty in
+
+ let status, instance =
+ mk_meta status newgoalctx (`Decl newgoalty) `IsTerm
+ in
+ instantiate ~refine:false status goal instance)
;;
-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
+let select_tac ~where ~job move_down_hyps =
+ let (wanted,hyps,where) = GrafiteDisambiguate.disambiguate_npattern where in
+ let path =
+ match where with None -> NCic.Implicit `Term | Some where -> where in
+ if not move_down_hyps then
+ select0_tac ~where:(wanted,hyps,Some path) ~job
+ else
+ let path =
+ List.fold_left
+ (fun path (name,path_name) -> NCic.Prod ("_",path_name,path))
+ path (List.rev hyps)
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))
+ block_tac [
+ generalize0_tac (List.map (fun (name,_) -> Ast.Ident (name,None)) hyps);
+ select0_tac ~where:(wanted,[],Some path) ~job;
+ clear_tac (List.map fst hyps) ]
+;;
+
+let generalize_tac ~where =
+ let l = ref [] in
+ block_tac [
+ select_tac ~where ~job:(`Collect l) true;
+ (fun s -> distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status,canon,rest =
+ match !l with
+ [] ->
+ (match where with
+ _,_,(None,_,_) -> fail (lazy "No term to generalize")
+ | txt,txtlen,(Some what,_,_) ->
+ let status, what =
+ disambiguate status (ctx_of goalty) (txt,txtlen,what) None
+ in
+ status,what,[]
+ )
+ | he::tl -> status,he,tl in
+ let status =
+ List.fold_left
+ (fun s t -> unify s (ctx_of goalty) canon t) status rest in
+ let status, canon = term_of_cic_term status canon (ctx_of goalty) in
+ instantiate status goal
+ (mk_cic_term (ctx_of goalty) (NCic.Appl [NCic.Implicit `Term ; canon ]))
+ ) s) ]
+;;
+
+let cut_tac t =
+ atomic_tac (block_tac [
+ exact_tac ("",0, Ast.Appl [Ast.Implicit `JustOne; Ast.Implicit `JustOne]);
+ branch_tac;
+ pos_tac [3]; exact_tac t;
+ shift_tac; pos_tac [2]; skip_tac;
+ merge_tac ])
+;;
+
+let lapply_tac (s,n,t) =
+ exact_tac (s,n, Ast.Appl [Ast.Implicit `JustOne; t])
+;;
+
+let reduce_tac ~reduction ~where =
+ let change status t =
+ match reduction with
+ | `Normalize perform_delta ->
+ normalize status
+ ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t
+ | `Whd perform_delta ->
+ whd status
+ ?delta:(if perform_delta then None else Some max_int) (ctx_of t) t
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 where = GrafiteDisambiguate.disambiguate_npattern where in
+ select0_tac ~where ~job:(`ChangeWith change)
;;
-let select ~where status goal =
- let name, _, _ as goalty = get_goal 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)
- in
- instantiate status goal instance
+let change_tac ~where ~with_what =
+ let change status t =
+ let status, ww = disambiguate status (ctx_of t) with_what None in
+ let status = unify status (ctx_of t) t ww in
+ status, ww
+ in
+ let where = GrafiteDisambiguate.disambiguate_npattern where in
+ select0_tac ~where ~job:(`ChangeWith change)
;;
-let select_tac ~where = distribute_tac (select ~where) ;;
+let letin_tac ~where ~what:(_,_,w) name =
+ block_tac [
+ select_tac ~where ~job:(`Substexpand 1) true;
+ exact_tac
+ ("",0,Ast.LetIn((Ast.Ident (name,None),None),w,Ast.Implicit `JustOne));
+ ]
+;;
-let exact t status goal =
- let goalty = get_goal status goal in
- let status, t = disambiguate status t (Some goalty) (`Term goalty) in
- instantiate status goal t
+let apply_tac (s,n,t) =
+ let t = Ast.Appl [t; Ast.Implicit `Vector] in
+ exact_tac (s,n,t)
;;
-let reopen status =
- 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
- | _ -> true)
- subst
- in
- let in_m, out_m =
- List.partition
- (function (_,(Some tag,_,_,_)) -> tag = in_scope_tag | _ -> assert false)
- newm
- in
- let metasenv = List.map (fun (i,(_,c,_,t)) -> i,(None,c,t)) in_m @ metasenv in
- let in_m = List.map fst in_m in
- let out_m = match out_m with [i] -> i | _ -> assert false in
- { status with pstatus = n,h,metasenv,subst,o }, in_m, out_m
+type indtyinfo = {
+ rightno: int;
+ leftno: int;
+ consno: int;
+ reference: NReference.reference;
+ }
;;
-let change ~where ~with_what status goal =
- let (name,_,_ as goalty) = get_goal status goal in
- let (wanted,_,where) = GrafiteDisambiguate.disambiguate_npattern where in
- let path =
- match where with None -> NCic.Implicit `Term | Some where -> where
+let ref_of_indtyinfo iti = iti.reference;;
+
+let analyze_indty_tac ~what indtyref =
+ distribute_tac (fun (status as orig_status) goal ->
+ let goalty = get_goalty status goal in
+ let status, what = disambiguate status (ctx_of goalty) what None in
+ let status, ty_what = typeof status (ctx_of what) what in
+ let status, (r,consno,lefts,rights) = analyse_indty status ty_what in
+ let leftno = List.length lefts in
+ let rightno = List.length rights in
+ indtyref := Some {
+ rightno = rightno; leftno = leftno; consno = consno; reference = r;
+ };
+ exec id_tac orig_status goal)
+;;
+
+let sort_of_goal_tac sortref = distribute_tac (fun status goal ->
+ let goalty = get_goalty status goal in
+ let status,sort = typeof status (ctx_of goalty) goalty in
+ let status, sort = fix_sorts status sort in
+ let status, sort = term_of_cic_term status sort (ctx_of goalty) in
+ sortref := sort;
+ status)
+;;
+
+let elim_tac ~what:(txt,len,what) ~where =
+ let what = txt, len, Ast.Appl [what; Ast.Implicit `Vector] in
+ let indtyinfo = ref None in
+ let sort = ref (NCic.Rel 1) in
+ atomic_tac (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ (fun s -> select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s);
+ sort_of_goal_tac sort;
+ (fun status ->
+ let ity = HExtlib.unopt !indtyinfo in
+ let NReference.Ref (uri, _) = ity.reference in
+ let name =
+ NUri.name_of_uri uri ^ "_" ^
+ snd (NCicElim.ast_of_sort
+ (match !sort with NCic.Sort x -> x | _ -> assert false))
+ in
+ let eliminator =
+ let _,_,w = what in
+ Ast.Appl [ Ast.Ident (name,None) ; Ast.Implicit `Vector ; w ]
+ in
+ exact_tac ("",0,eliminator) status) ])
+;;
+
+let rewrite_tac ~dir ~what:(_,_,what) ~where status =
+ let sortref = ref (NCic.Rel 1) in
+ let status = sort_of_goal_tac sortref status in
+ let suffix = "_" ^ snd (NCicElim.ast_of_sort
+ (match !sortref with NCic.Sort x -> x | _ -> assert false))
+ in
+ let name =
+ match dir with
+ `LeftToRight -> "eq" ^ suffix ^ "_r"
+ | `RightToLeft -> "eq" ^ suffix
in
- let status, newgoalty = select_term status goalty (wanted,path) in
- let status, in_scope, out_scope = reopen status in
- let status = List.fold_left (exact with_what) status in_scope in
+ let what = Ast.Appl [what; Ast.Implicit `Vector] in
+ block_tac
+ [ select_tac ~where ~job:(`Substexpand 2) true;
+ exact_tac
+ ("",0,
+ Ast.Appl(Ast.Ident(name,None)::HExtlib.mk_list (Ast.Implicit `JustOne) 5@
+ [what]))] status
+;;
- let j,(n,cctx,bo,_) = out_scope in
- let _ = typeof status (`Term goalty) (n,cctx,bo) in
+let intro_tac name =
+ block_tac
+ [ exact_tac
+ ("",0,(Ast.Binder (`Lambda,
+ (Ast.Ident (name,None),None),Ast.Implicit `JustOne)));
+ if name = "_" then clear_tac [name] else id_tac ]
+;;
- 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 name_counter = ref 0;;
+let intros_tac ?names_ref names s =
+ let names_ref, prefix =
+ match names_ref with | None -> ref [], "__" | Some r -> r, "H"
+ in
+ if names = [] then
+ repeat_tac
+ (fun s ->
+ incr name_counter;
+ (* TODO: generate better names *)
+ let name = prefix ^ string_of_int !name_counter in
+ let s = intro_tac name s in
+ names_ref := !names_ref @ [name];
+ s)
+ s
+ else
+ block_tac (List.map intro_tac names) s
+;;
- let status, instance =
- mk_meta status ?name (`Term newgoalty) (`Decl newgoalty)
+let cases ~what status goal =
+ let gty = get_goalty status goal in
+ let status, what = disambiguate status (ctx_of gty) what None in
+ let status, ty = typeof status (ctx_of what) what in
+ let status, (ref, consno, _, _) = analyse_indty status ty in
+ let status, what = term_of_cic_term status what (ctx_of gty) in
+ let t =
+ NCic.Match (ref,NCic.Implicit `Term, what,
+ HExtlib.mk_list (NCic.Implicit `Term) consno)
in
- instantiate status goal instance
+ instantiate status goal (mk_cic_term (ctx_of gty) t)
;;
-let apply t status goal = exact t status goal;;
+let cases_tac ~what:(txt,len,what) ~where =
+ let what = txt, len, Ast.Appl [what; Ast.Implicit `Vector] in
+ let indtyinfo = ref None in
+ atomic_tac
+ (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ (fun s -> select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1))true s);
+ distribute_tac (cases ~what) ])
+;;
-let apply_tac t = distribute_tac (apply t) ;;
-let change_tac ~where ~with_what = distribute_tac (change ~where ~with_what) ;;
+let case1_tac name =
+ let name = if name = "_" then "_clearme" else name in
+ block_tac [ intro_tac name;
+ cases_tac
+ ~where:("",0,(None,[],None))
+ ~what:("",0,Ast.Ident (name,None));
+ if name = "_clearme" then clear_tac ["_clearme"] else id_tac ]
+;;
-let elim_tac ~what ~where status =
- 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
- (* check inductive... find eliminator *)
- let w = (*astify what *) CicNotationPt.Ident ("m",None) in
- let holes = [
- CicNotationPt.Implicit;CicNotationPt.Implicit;CicNotationPt.Implicit]
- in
- let eliminator =
- CicNotationPt.Appl(CicNotationPt.Ident("nat_ind",None)::holes @ [ w ])
- in
- exec (apply_tac ("",0,eliminator)) status goal) ]
- status
+let constructor_tac ?(num=1) ~args = distribute_tac (fun status goal ->
+ if num < 1 then fail (lazy "constructor numbers begin with 1");
+ let gty = get_goalty status goal in
+ let status, (r,_,_,_) = analyse_indty status gty in
+ let ref = NReference.mk_constructor num r in
+ let t =
+ if args = [] then Ast.NRef ref else
+ Ast.Appl (HExtlib.list_concat ~sep:[Ast.Implicit `Vector]
+ ([Ast.NRef ref] :: List.map (fun _,_,x -> [x]) args))
+ in
+ exec (apply_tac ("",0,t)) status goal)
;;
+let assert0_tac (hyps,concl) = distribute_tac (fun status goal ->
+ let gty = get_goalty status goal in
+ let eq status ctx t1 t2 =
+ let status,t1 = disambiguate status ctx t1 None in
+ let status,t1 = apply_subst status ctx t1 in
+ let status,t1 = term_of_cic_term status t1 ctx in
+ let t2 = mk_cic_term ctx t2 in
+ let status,t2 = apply_subst status ctx t2 in
+ let status,t2 = term_of_cic_term status t2 ctx in
+ prerr_endline ("COMPARING: " ^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:ctx t1 ^ " vs " ^ NCicPp.ppterm ~subst:[] ~metasenv:[] ~context:ctx t2);
+ assert (t1=t2);
+ status
+ in
+ let status,gty' = term_of_cic_term status gty (ctx_of gty) in
+ let status = eq status (ctx_of gty) concl gty' in
+ let status,_ =
+ List.fold_right2
+ (fun (id1,e1) ((id2,e2) as item) (status,ctx) ->
+ assert (id1=id2 || (prerr_endline (id1 ^ " vs " ^ id2); false));
+ match e1,e2 with
+ `Decl t1, NCic.Decl t2 ->
+ let status = eq status ctx t1 t2 in
+ status,item::ctx
+ | `Def (b1,t1), NCic.Def (b2,t2) ->
+ let status = eq status ctx t1 t2 in
+ let status = eq status ctx b1 b2 in
+ status,item::ctx
+ | _ -> assert false
+ ) hyps (ctx_of gty) (status,[])
+ in
+ exec id_tac status goal)
+;;
+let assert_tac seqs status =
+ match status#stack with
+ | [] -> assert false
+ | (g,_,_,_) :: s ->
+ assert (List.length g = List.length seqs);
+ (match seqs with
+ [] -> id_tac
+ | [seq] -> assert0_tac seq
+ | _ ->
+ block_tac
+ ((branch_tac ~force:false)::
+ HExtlib.list_concat ~sep:[shift_tac]
+ (List.map (fun seq -> [assert0_tac seq]) seqs)@
+ [merge_tac])
+ ) status
+;;
+
+let inversion_tac ~what:(txt,len,what) ~where =
+ let what = txt, len, Ast.Appl [what; Ast.Implicit `Vector] in
+ let indtyinfo = ref None in
+ let sort = ref (NCic.Rel 1) in
+ atomic_tac (block_tac [
+ analyze_indty_tac ~what indtyinfo;
+ (fun s -> select_tac
+ ~where ~job:(`Substexpand ((HExtlib.unopt !indtyinfo).rightno+1)) true s);
+ sort_of_goal_tac sort;
+ (fun status ->
+ let ity = HExtlib.unopt !indtyinfo in
+ let NReference.Ref (uri, _) = ity.reference in
+ let name =
+ NUri.name_of_uri uri ^ "_inv_" ^
+ snd (NCicElim.ast_of_sort
+ (match !sort with NCic.Sort x -> x | _ -> assert false))
+ in
+ let eliminator =
+ let _,_,w = what in
+ Ast.Appl [ Ast.Ident (name,None) ; Ast.Implicit `Vector ; w ]
+ in
+ exact_tac ("",0,eliminator) status) ])
+;;