src/Pure/Tools/thm_deps.ML
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(*  Title:      Pure/Tools/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: theory -> 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 thy thms =
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  let
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    fun make_node name directory =
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      Graph_Display.session_node
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       {name = Long_Name.base_name name, directory = directory, unfold = false, path = ""};
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    fun add_dep {name = "", ...} = I
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      | add_dep {name = name, body = PBody {thms = thms', ...}, ...} =
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          let
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            val prefix = #1 (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 try (Context.get_theory thy) 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 node = make_node name (space_implode "/" (session @ prefix));
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            val deps = filter_out (fn s => s = "") (map (Proofterm.thm_node_name o #2) thms');
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          in Symtab.update (name, (node, deps)) end;
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    val entries0 = Proofterm.fold_body_thms add_dep (Thm.proof_bodies_of thms) Symtab.empty;
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    val entries1 =
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      Symtab.fold (fn (_, (_, deps)) => deps |> fold (fn d => fn tab =>
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        if Symtab.defined tab d then tab
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        else Symtab.update (d, (make_node d "", [])) tab)) entries0 entries0;
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  in
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    Symtab.fold (fn (name, (node, deps)) => cons ((name, node), deps)) entries1 []
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    |> Graph_Display.display_graph_old
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  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 transfer space (name, ths) =
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      if exists (fn thy => Global_Theory.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, (transfer th, concealed, group)))) ths
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        end;
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    fun add_facts thy =
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      let
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        val transfer = Global_Theory.transfer_theories thy;
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        val facts = Global_Theory.facts_of thy;
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      in Facts.fold_static (add_fact transfer (Facts.space_of facts)) facts end;
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    val new_thms =
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      fold add_facts thys []
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      |> sort_distinct (string_ord o apply2 #1);
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    val used =
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      Proofterm.fold_body_thms
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        (fn {name = a, ...} => a <> "" ? Symtab.update (a, ()))
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        (map Proofterm.strip_thm (Thm.proof_bodies_of (map (#1 o #2) new_thms)))
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        Symtab.empty;
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    fun is_unused a = not (Symtab.defined used a);
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    (*groups containing at least one used theorem*)
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    val used_groups = fold (fn (a, (_, _, group)) =>
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      if is_unused a 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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        (* FIXME replace by robust treatment of thm groups *)
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        Thm.legacy_get_kind th = Thm.theoremK andalso is_unused a
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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;