X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fcomponents%2Facic_procedural%2Facic2Procedural.ml;h=63b4d4972281d0c5f5822cf4555ee54b86ff56ee;hb=HEAD;hp=c9423268ccb9d144cb1c536ee5cd258307d780b4;hpb=a9cf292e7e406a8a2cd88b8f5f84ff2d59bea5e4;p=helm.git diff --git a/helm/software/components/acic_procedural/acic2Procedural.ml b/helm/software/components/acic_procedural/acic2Procedural.ml index c9423268c..63b4d4972 100644 --- a/helm/software/components/acic_procedural/acic2Procedural.ml +++ b/helm/software/components/acic_procedural/acic2Procedural.ml @@ -23,353 +23,127 @@ * http://cs.unibo.it/helm/. *) -module C = Cic -module I = CicInspect -module D = Deannotate -module S = CicSubstitution -module TC = CicTypeChecker -module Un = CicUniv -module UM = UriManager -module Obj = LibraryObjects -module HObj = HelmLibraryObjects -module A = Cic2acic -module Ut = CicUtil -module E = CicEnvironment -module Pp = CicPp -module PEH = ProofEngineHelpers -module HEL = HExtlib +module C = Cic +module L = Librarian +module G = GrafiteAst -module Cl = ProceduralClassify -module T = ProceduralTypes -module Cn = ProceduralConversion +module H = ProceduralHelpers +module T = ProceduralTypes +module P1 = Procedural1 +module P2 = Procedural2 +module X = ProceduralTeX -type status = { - sorts : (C.id, A.sort_kind) Hashtbl.t; - types : (C.id, A.anntypes) Hashtbl.t; - prefix: string; - max_depth: int option; - depth: int; - context: C.context; - intros: string list -} +let tex_formatter = ref None -(* helpers ******************************************************************) - -let cic = D.deannotate_term - -let split2_last l1 l2 = -try - let n = pred (List.length l1) in - let before1, after1 = HEL.split_nth n l1 in - let before2, after2 = HEL.split_nth n l2 in - before1, before2, List.hd after1, List.hd after2 -with Invalid_argument _ -> failwith "A2P.split2_last" - -let string_of_head = function - | C.ASort _ -> "sort" - | C.AConst _ -> "const" - | C.AMutInd _ -> "mutind" - | C.AMutConstruct _ -> "mutconstruct" - | C.AVar _ -> "var" - | C.ARel _ -> "rel" - | C.AProd _ -> "prod" - | C.ALambda _ -> "lambda" - | C.ALetIn _ -> "letin" - | C.AFix _ -> "fix" - | C.ACoFix _ -> "cofix" - | C.AAppl _ -> "appl" - | C.ACast _ -> "cast" - | C.AMutCase _ -> "mutcase" - | C.AMeta _ -> "meta" - | C.AImplicit _ -> "implict" - -let clear st = {st with intros = []} - -let next st = {(clear st) with depth = succ st.depth} - -let add st entry intro = - {st with context = entry :: st.context; intros = intro :: st.intros} - -let test_depth st = -try - let msg = Printf.sprintf "Depth %u: " st.depth in - match st.max_depth with - | None -> true, "" - | Some d -> if st.depth < d then true, msg else false, "DEPTH EXCEDED: " -with Invalid_argument _ -> failwith "A2P.test_depth" - -let is_rewrite_right = function - | C.AConst (_, uri, []) -> - UM.eq uri HObj.Logic.eq_ind_r_URI || Obj.is_eq_ind_r_URI uri - | _ -> false - -let is_rewrite_left = function - | C.AConst (_, uri, []) -> - UM.eq uri HObj.Logic.eq_ind_URI || Obj.is_eq_ind_URI uri - | _ -> false - -let is_fwd_rewrite_right hd tl = - if is_rewrite_right hd then match List.nth tl 3 with - | C.ARel _ -> true - | _ -> false - else false - -let is_fwd_rewrite_left hd tl = - if is_rewrite_left hd then match List.nth tl 3 with - | C.ARel _ -> true - | _ -> false - else false -(* -let get_ind_name uri tno xcno = -try - let ts = match E.get_obj Un.empty_ugraph uri with - | C.InductiveDefinition (ts, _, _,_), _ -> ts - | _ -> assert false - in - let tname, cs = match List.nth ts tno with - | (name, _, _, cs) -> name, cs - in - match xcno with - | None -> tname - | Some cno -> fst (List.nth cs (pred cno)) -with Invalid_argument _ -> failwith "A2P.get_ind_name" -*) -let get_inner_types st v = -try - let id = Ut.id_of_annterm v in - try match Hashtbl.find st.types id with - | {A.annsynthesized = st; A.annexpected = Some et} -> Some (st, et) - | {A.annsynthesized = st; A.annexpected = None} -> Some (st, st) - with Not_found -> None -with Invalid_argument _ -> failwith "A2P.get_inner_types" -(* -let get_inner_sort st v = -try - let id = Ut.id_of_annterm v in - try Hashtbl.find st.sorts id - with Not_found -> `Type (CicUniv.fresh()) -with Invalid_argument _ -> failwith "A2P.get_sort" -*) -let get_type msg st bo = -try - let ty, _ = TC.type_of_aux' [] st.context (cic bo) Un.empty_ugraph in - ty -with e -> failwith (msg ^ ": " ^ Printexc.to_string e) +(* object costruction *******************************************************) -let get_entry st id = - let rec aux = function - | [] -> assert false - | Some (C.Name name, e) :: _ when name = id -> e - | _ :: tl -> aux tl - in - aux st.context - -(* proof construction *******************************************************) +let th_flavours = [`Theorem; `Lemma; `Remark; `Fact] -let unused_premise = "UNUSED" +let def_flavours = [`Definition; `Variant] -let mk_exp_args hd tl classes synth = - let meta id = C.AImplicit (id, None) in - let map v (cl, b) = - if I.overlaps synth cl && b then v else meta "" - in +let get_flavour sorts params context v attrs = let rec aux = function - | [] -> [] - | hd :: tl -> if hd = meta "" then aux tl else List.rev (hd :: tl) + | [] -> + if H.is_acic_proof sorts context v then List.hd th_flavours + else List.hd def_flavours + | `Flavour fl :: _ -> fl + | _ :: tl -> aux tl in - let args = T.list_rev_map2 map tl classes in - let args = aux args in - if args = [] then hd else C.AAppl ("", hd :: args) - -let convert st ?name v = - match get_inner_types st v with - | None -> [] - | Some (sty, ety) -> - let e = Cn.mk_pattern 0 (T.mk_arel 1 "") in - let csty, cety = cic sty, cic ety in - if Ut.alpha_equivalence csty cety then [] else - match name with - | None -> [T.Change (sty, ety, None, e, "")] - | Some (id, i) -> - begin match get_entry st id with - | C.Def _ -> [T.ClearBody (id, "")] - | C.Decl w -> - let w = S.lift i w in - if Ut.alpha_equivalence csty w then [] - else - [T.Note (Pp.ppterm csty); T.Note (Pp.ppterm w); - T.Change (sty, ety, Some (id, id), e, "")] - end - -let get_intro = function - | C.Anonymous -> unused_premise - | C.Name s -> s - -let mk_intros st script = - if st.intros = [] then script else - let count = List.length st.intros in - T.Intros (Some count, List.rev st.intros, "") :: script - -let mk_arg st = function - | C.ARel (_, _, i, name) as what -> convert st ~name:(name, i) what - | _ -> [] - -let mk_fwd_rewrite st dtext name tl direction = - assert (List.length tl = 6); - let what, where, predicate = List.nth tl 5, List.nth tl 3, List.nth tl 2 in - let e = Cn.mk_pattern 1 predicate in - match where with - | C.ARel (_, _, _, premise) -> - let script = mk_arg st what in - let where = Some (premise, name) in - T.Rewrite (direction, what, where, e, dtext) :: script - | _ -> assert false - -let mk_rewrite st dtext what qs tl direction = - assert (List.length tl = 5); - let predicate = List.nth tl 2 in - let e = Cn.mk_pattern 1 predicate in - [T.Rewrite (direction, what, None, e, dtext); T.Branch (qs, "")] - -let rec proc_lambda st name v t = - let entry = Some (name, C.Decl (cic v)) in - let intro = get_intro name in - proc_proof (add st entry intro) t - -and proc_letin st what name v t = - let intro = get_intro name in - let proceed, dtext = test_depth st in - let script = if proceed then - let hyp, rqv = match get_inner_types st v with - | Some (ity, _) -> - let rqv = match v with - | C.AAppl (_, hd :: tl) when is_fwd_rewrite_right hd tl -> - mk_fwd_rewrite st dtext intro tl true - | C.AAppl (_, hd :: tl) when is_fwd_rewrite_left hd tl -> - mk_fwd_rewrite st dtext intro tl false - | v -> - let qs = [proc_proof (next st) v; [T.Id ""]] in - [T.Branch (qs, ""); T.Cut (intro, ity, dtext)] + let flavour_map x y = match x, y with + | None, G.IPAs flavour -> Some flavour + | _ -> x + in + match List.fold_left flavour_map None params with + | Some fl -> fl + | None -> aux attrs + +let rec is_record = function + | [] -> None + | `Class (`Record fields) :: _ -> Some fields + | _ :: tl -> is_record tl + +let proc_obj ?(info="") proc_proof sorts params context = function + | C.AConstant (_, _, s, Some v, t, [], attrs) -> + begin match get_flavour sorts params context v attrs with + | flavour when List.mem flavour th_flavours -> + let ast = proc_proof v in + let steps, nodes = T.count_steps 0 ast, T.count_nodes 0 ast in + let text = + if List.mem G.IPComments params then + Printf.sprintf "%s\n%s%s: %u\n%s: %u\n%s" + "COMMENTS" info "Tactics" steps "Final nodes" nodes "END" + else + "" in - C.Decl (cic ity), rqv - | None -> - C.Def (cic v, None), [T.LetIn (intro, v, dtext)] - in - let entry = Some (name, hyp) in - let qt = proc_proof (next (add st entry intro)) t in - List.rev_append rqv qt - else - [T.Apply (what, dtext)] - in - mk_intros st script - -and proc_rel st what = - let _, dtext = test_depth st in - let text = "assumption" in - let script = [T.Apply (what, dtext ^ text)] in - mk_intros st script + T.Statement (flavour, Some s, t, None, "") :: ast @ [T.Qed text] + | flavour when List.mem flavour def_flavours -> + [T.Statement (flavour, Some s, t, Some v, "")] + | _ -> + failwith "not a theorem, definition, axiom or inductive type" + end + | C.AConstant (_, _, s, None, t, [], attrs) -> + [T.Statement (`Axiom, Some s, t, None, "")] + | C.AInductiveDefinition (_, types, [], lpsno, attrs) -> + begin match is_record attrs with + | None -> [T.Inductive (types, lpsno, "")] + | Some fs -> [T.Record (types, lpsno, fs, "")] + end + | _ -> + failwith "not a theorem, definition, axiom or inductive type" -and proc_mutconstruct st what = - let _, dtext = test_depth st in - let script = [T.Apply (what, dtext)] in - mk_intros st script +(* interface functions ******************************************************) -and proc_appl st what hd tl = - let proceed, dtext = test_depth st in - let script = if proceed then - let ty = get_type "TC2" st hd in - let (classes, rc) as h = Cl.classify st.context ty in - let goal_arity = match get_inner_types st what with - | None -> 0 - | Some (ity, _) -> snd (PEH.split_with_whd (st.context, cic ity)) - in - let argsno = List.length classes in - let decurry = argsno - List.length tl in - let diff = goal_arity - decurry in - if diff < 0 then failwith (Printf.sprintf "NOT TOTAL: %i %s |--- %s" diff (Pp.ppcontext st.context) (Pp.ppterm (cic hd))); - let rec mk_synth a n = - if n < 0 then a else mk_synth (I.S.add n a) (pred n) - in - let synth = mk_synth I.S.empty decurry in - let text = "" (* Printf.sprintf "%u %s" argsno (Cl.to_string h) *) in - let script = List.rev (mk_arg st hd) @ convert st what in - match rc with - | Some (i, j) -> - let classes, tl, _, where = split2_last classes tl in - let script = List.rev (mk_arg st where) @ script in - let synth = I.S.add 1 synth in - let qs = proc_bkd_proofs (next st) synth classes tl in - if is_rewrite_right hd then - script @ mk_rewrite st dtext where qs tl false - else if is_rewrite_left hd then - script @ mk_rewrite st dtext where qs tl true - else - let predicate = List.nth tl (argsno - i) in - let e = Cn.mk_pattern 0 (T.mk_arel 1 "") (* j predicate *) in - let using = Some hd in - script @ - [T.Elim (where, using, e, dtext ^ text); T.Branch (qs, "")] - | None -> - let qs = proc_bkd_proofs (next st) synth classes tl in - let hd = mk_exp_args hd tl classes synth in - script @ [T.Apply (hd, dtext ^ text); T.Branch (qs, "")] - else - [T.Apply (what, dtext)] +let get_proc_proof ~ids_to_inner_sorts ~ids_to_inner_types params context = + let level_map x y = match x, y with + | None, G.IPLevel level -> Some level + | _ -> x + in + match List.fold_left level_map None params with + | None + | Some 2 -> + P2.proc_proof + (P2.init ~ids_to_inner_sorts ~ids_to_inner_types params context) + | Some 1 -> + P1.proc_proof + (P1.init ~ids_to_inner_sorts ~ids_to_inner_types params context) + | Some n -> + failwith ( + "Procedural reconstruction level not supported: " ^ + string_of_int n + ) + +let procedural_of_acic_object ~ids_to_inner_sorts ~ids_to_inner_types + ?info params anobj = + let proc_proof = + get_proc_proof ~ids_to_inner_sorts ~ids_to_inner_types params [] + in + L.time_stamp "P : LEVEL 2 "; + HLog.debug "Procedural: level 2 transformation"; + let steps = proc_obj ?info proc_proof ids_to_inner_sorts params [] anobj in + let _ = match !tex_formatter with + | None -> () + | Some frm -> X.tex_of_steps frm ids_to_inner_sorts steps in - mk_intros st script - -and proc_other st what = - let text = Printf.sprintf "%s: %s" "UNEXPANDED" (string_of_head what) in - let script = [T.Note text] in - mk_intros st script - -and proc_proof st = function - | C.ALambda (_, name, w, t) -> proc_lambda st name w t - | C.ALetIn (_, name, v, t) as what -> proc_letin st what name v t - | C.ARel _ as what -> proc_rel st what - | C.AMutConstruct _ as what -> proc_mutconstruct st what - | C.AAppl (_, hd :: tl) as what -> proc_appl st what hd tl - | what -> proc_other st what - -and proc_bkd_proofs st synth classes ts = -try - let _, dtext = test_depth st in - let aux (inv, _) v = - if I.overlaps synth inv then None else - if I.S.is_empty inv then Some (proc_proof st v) else - Some [T.Apply (v, dtext ^ "dependent")] - in - List.rev (T.list_map2_filter aux classes ts) -with Invalid_argument s -> failwith ("A2P.proc_bkd_proofs: " ^ s) - -(* object costruction *******************************************************) - -let is_theorem pars = - List.mem (`Flavour `Theorem) pars || List.mem (`Flavour `Fact) pars || - List.mem (`Flavour `Remark) pars || List.mem (`Flavour `Lemma) pars - -let proc_obj st = function - | C.AConstant (_, _, s, Some v, t, [], pars) when is_theorem pars -> - let ast = proc_proof st v in - let count = T.count_steps 0 ast in - let text = Printf.sprintf "tactics: %u" count in - T.Theorem (s, t, text) :: ast @ [T.Qed ""] - | _ -> - failwith "not a theorem" - -(* interface functions ******************************************************) + L.time_stamp "P : RENDERING"; + HLog.debug "Procedural: grafite rendering"; + let r = List.rev (T.render_steps [] steps) in + L.time_stamp "P : DONE "; r -let acic2procedural ~ids_to_inner_sorts ~ids_to_inner_types ?depth prefix aobj = - let st = { - sorts = ids_to_inner_sorts; - types = ids_to_inner_types; - prefix = prefix; - max_depth = depth; - depth = 0; - context = []; - intros = [] - } in +let procedural_of_acic_term ~ids_to_inner_sorts ~ids_to_inner_types params + context annterm = + let proc_proof = + get_proc_proof ~ids_to_inner_sorts ~ids_to_inner_types params context + in HLog.debug "Procedural: level 2 transformation"; - let steps = proc_obj st aobj in + let steps = proc_proof annterm in + let _ = match !tex_formatter with + | None -> () + | Some frm -> X.tex_of_steps frm ids_to_inner_sorts steps + in HLog.debug "Procedural: grafite rendering"; List.rev (T.render_steps [] steps) + +let rec is_debug n = function + | [] -> false + | G.IPDebug debug :: _ -> n <= debug + | _ :: tl -> is_debug n tl