src/Pure/Thy/thm_deps.ML
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(*  Title:      Pure/Thy/thm_deps.ML
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    Author:     Stefan Berghofer, TU Muenchen
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Visualize dependencies of theorems.
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*)
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signature THM_DEPS =
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sig
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  val thm_deps: thm list -> unit
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  val unused_thms: theory list * theory list -> (string * thm) list
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end;
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structure Thm_Deps: THM_DEPS =
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struct
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(* thm_deps *)
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fun thm_deps thms =
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  let
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    fun add_dep ("", _, _) = I
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      | add_dep (name, _, PBody {thms = thms', ...}) =
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          let
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            val prefix = #1 (Library.split_last (Long_Name.explode name));
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            val session =
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              (case prefix of
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                a :: _ =>
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                  (case Thy_Info.lookup_theory a of
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                    SOME thy =>
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                      (case Present.session_name thy of
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                        "" => []
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                      | session => [session])
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                  | NONE => [])
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               | _ => ["global"]);
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            val parents = filter_out (fn s => s = "") (map (#1 o #2) thms');
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            val entry =
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              {name = Long_Name.base_name name,
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               ID = name,
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               dir = space_implode "/" (session @ prefix),
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               unfold = false,
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               path = "",
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               parents = parents};
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          in cons entry end;
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    val deps = Proofterm.fold_body_thms add_dep (map Thm.proof_body_of thms) [];
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  in Present.display_graph (sort_wrt #ID deps) end;
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(* unused_thms *)
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fun unused_thms (base_thys, thys) =
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  let
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    fun add_fact space (name, ths) =
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      if exists (fn thy => PureThy.defined_fact thy name) base_thys then I
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      else
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        let val {concealed, group, ...} = Name_Space.the_entry space name in
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          fold_rev (fn th =>
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            (case Thm.derivation_name th of
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              "" => I
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            | a => cons (a, (th, concealed, group)))) ths
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        end;
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    fun add_facts facts = Facts.fold_static (add_fact (Facts.space_of facts)) facts;
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    val new_thms =
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      fold (add_facts o PureThy.facts_of) thys []
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      |> sort_distinct (string_ord o pairself #1);
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    val used =
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      Proofterm.fold_body_thms
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        (fn (a, prop, _) => a <> "" ? Symtab.insert_list (op =) (a, prop))
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        (map (Proofterm.strip_thm o Thm.proof_body_of o #1 o #2) new_thms) Symtab.empty;
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    fun is_unused (a, th) =
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      not (member (op aconv) (Symtab.lookup_list used a) (Thm.prop_of th));
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    (* groups containing at least one used theorem *)
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    val used_groups = fold (fn (a, (th, _, group)) =>
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      if is_unused (a, th) then I
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      else
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        (case group of
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          NONE => I
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        | SOME grp => Inttab.update (grp, ()))) new_thms Inttab.empty;
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    val (thms', _) = fold (fn (a, (th, concealed, group)) => fn q as (thms, seen_groups) =>
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      if not concealed andalso
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        member (op =) [Thm.theoremK, Thm.lemmaK, Thm.corollaryK] (Thm.get_kind th) andalso
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        is_unused (a, th)
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      then
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        (case group of
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           NONE => ((a, th) :: thms, seen_groups)
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         | SOME grp =>
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             if Inttab.defined used_groups grp orelse
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               Inttab.defined seen_groups grp then q
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             else ((a, th) :: thms, Inttab.update (grp, ()) seen_groups))
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      else q) new_thms ([], Inttab.empty);
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  in rev thms' end;
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end;
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