src/Pure/Isar/proof_history.ML
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(*  Title:      Pure/Isar/proof_history.ML
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    ID:         $Id$
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    Author:     Markus Wenzel, TU Muenchen
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Histories of proof states, with undo / redo and backtracking.
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*)
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signature PROOF_HISTORY =
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sig
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  type T
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  val position: T -> int
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  val init: int option -> Proof.state -> T
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  val is_initial: T -> bool
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  val map_current: (Proof.state -> Proof.state) -> T -> T
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  val current: T -> Proof.state
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  val previous: T -> Proof.state option
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  val clear: int -> T -> T
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  val undo: T -> T
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  val redo: T -> T
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  val back: T -> T
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  val applys: (Proof.state -> Proof.state Seq.seq) -> T -> T
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  val apply: (Proof.state -> Proof.state) -> T -> T
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end;
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structure ProofHistory: PROOF_HISTORY =
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struct
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(* datatype proof history *)
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type node =
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  Proof.state *                 (*first result*)
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  Proof.state Seq.seq;          (*alternative results*)
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type proof = node * int;        (*proof node, proof position*)
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datatype T = ProofHistory of proof History.T;
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fun app f (ProofHistory x) = ProofHistory (f x);
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fun hist_app f = app (History.apply f);
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fun hist_map f = app (History.map_current f);
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fun position (ProofHistory prf) = snd (History.current prf);
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(* generic history operations *)
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fun init lim st = ProofHistory (History.init lim ((st, Seq.empty), 0));
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fun is_initial (ProofHistory prf) = History.is_initial prf;
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fun map_current f = hist_map (apfst (apfst f));
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fun current (ProofHistory prf) = fst (fst (History.current prf));
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fun previous (ProofHistory prf) = Option.map (fst o fst) (History.previous prf);
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val clear = app o History.clear;
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val undo = app History.undo;
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val redo = app History.redo;
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(* backtracking *)
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val back = hist_app (fn ((_, stq), position) =>
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  (case Seq.pull stq of
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    NONE => error "back: no alternatives"
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  | SOME result => (result, position)));
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(* apply transformer *)
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fun applys f = hist_app (fn (node as (st, _), position) =>
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  (case Seq.pull (f st) of
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    NONE => error "empty result sequence -- proof command failed"
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  | SOME results => (results, position + 1)));
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fun apply f = applys (Seq.single o f);
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end;