(*  Title:      HOL/Tools/try_methods.ML

     Author:     Jasmin Blanchette, TU Muenchen

 Try a combination of proof methods.

 *)

 signature TRY_METHODS =

 sig

   val auto : bool Unsynchronized.ref

   val try_methods :

     Time.time option -> string list * string list * string list * string list

     -> Proof.state -> bool

   val setup : theory -> theory

 end;

 structure Try_Methods : TRY_METHODS =

 struct

 val auto = Unsynchronized.ref false

 val _ =

   ProofGeneralPgip.add_preference Preferences.category_tracing

       (Preferences.bool_pref auto "auto-try-methods"

                              "Try standard proof methods.")

 val default_timeout = seconds 5.0

 fun can_apply timeout_opt pre post tac st =

   let val {goal, ...} = Proof.goal st in

     case (case timeout_opt of

             SOME timeout => TimeLimit.timeLimit timeout

           | NONE => fn f => fn x => f x) (Seq.pull o tac) (pre st) of

       SOME (x, _) => nprems_of (post x) < nprems_of goal

     | NONE => false

   end

   handle TimeLimit.TimeOut => false

 fun do_generic timeout_opt command pre post apply st =

   let val timer = Timer.startRealTimer () in

     if can_apply timeout_opt pre post apply st then

       SOME (command, Time.toMilliseconds (Timer.checkRealTimer timer))

     else

       NONE

   end

 val parse_method =

   enclose "(" ")"

   #> Outer_Syntax.scan Position.start

   #> filter Token.is_proper

   #> Scan.read Token.stopper Method.parse

   #> (fn SOME (Method.Source src) => src | _ => raise Fail "expected Source")

 fun apply_named_method_on_first_goal method thy =

   method |> parse_method

          |> Method.method thy

          |> Method.Basic

          |> curry Method.SelectGoals 1

          |> Proof.refine

   handle ERROR _ => K Seq.empty (* e.g., the method isn't available yet *)

 fun add_attr_text (NONE, _) s = s

   | add_attr_text (_, []) s = s

   | add_attr_text (SOME x, fs) s =

     s ^ " " ^ (if x = "" then "" else x ^ ": ") ^ space_implode " " fs

 fun attrs_text (sx, ix, ex, dx) (ss, is, es, ds) =

   "" |> fold add_attr_text [(sx, ss), (ix, is), (ex, es), (dx, ds)]

 fun do_named_method (name, ((all_goals, run_if_auto), attrs)) auto timeout_opt

                     quad st =

   if not auto orelse run_if_auto then

     let val attrs = attrs_text attrs quad in

       do_generic timeout_opt

                  (name ^ (if all_goals andalso

                              nprems_of (#goal (Proof.goal st)) > 1 then

                             "[1]"

                           else

                             "") ^

                   attrs) I (#goal o Proof.goal)

                  (apply_named_method_on_first_goal (name ^ attrs)

                                                    (Proof.theory_of st)) st

     end

   else

     NONE

 val full_attrs = (SOME "simp", SOME "intro", SOME "elim", SOME "dest")

 val clas_attrs = (NONE, SOME "intro", SOME "elim", SOME "dest")

 val simp_attrs = (SOME "add", NONE, NONE, NONE)

 val metis_attrs = (SOME "", SOME "", SOME "", SOME "")

 val no_attrs = (NONE, NONE, NONE, NONE)

 (* name * ((all_goals, run_if_auto), (simp, intro, elim, dest) *)

 val named_methods =

   [("simp", ((false, true), simp_attrs)),

    ("auto", ((true, true), full_attrs)),

    ("fast", ((false, false), clas_attrs)),

    ("fastsimp", ((false, false), full_attrs)),

    ("force", ((false, false), full_attrs)),

    ("blast", ((false, true), clas_attrs)),

    ("metis", ((false, true), metis_attrs)),

    ("linarith", ((false, true), no_attrs)),

    ("presburger", ((false, true), no_attrs))]

 val do_methods = map do_named_method named_methods

 fun time_string (s, ms) = s ^ ": " ^ string_of_int ms ^ " ms"

 fun do_try_methods auto timeout_opt quad st =

   let

     val st = st |> Proof.map_context (Config.put Metis_Tactics.verbose false)

   in

     case do_methods |> Par_List.map (fn f => f auto timeout_opt quad st)

                     |> map_filter I |> sort (int_ord o pairself snd) of

       [] => (if auto then () else writeln "No proof found."; (false, st))

     | xs as (s, _) :: _ =>

       let

         val xs = xs |> map (fn (s, n) => (n, hd (space_explode " " s)))

                     |> AList.coalesce (op =)

                     |> map (swap o apsnd commas)

         val need_parens = exists_string (curry (op =) " ") s

         val message =

           (if auto then "Auto Try Methods found a proof"

            else "Try this command") ^ ": " ^

           Markup.markup Markup.sendback

               ((if nprems_of (#goal (Proof.goal st)) = 1 then "by"

                 else "apply") ^ " " ^ (s |> need_parens ? enclose "(" ")")) ^

           "\n(" ^ space_implode "; " (map time_string xs) ^ ").\n"

       in

         (true, st |> (if auto then

                         Proof.goal_message

                             (fn () => Pretty.chunks [Pretty.str "",

                                       Pretty.markup Markup.hilite

                                                     [Pretty.str message]])

                       else

                         tap (fn _ => Output.urgent_message message)))

       end

   end

 fun try_methods timeout_opt = fst oo do_try_methods false timeout_opt

 val try_methodsN = "try_methods"

 fun try_methods_trans quad =

   Toplevel.keep (K () o do_try_methods false (SOME default_timeout) quad

                  o Toplevel.proof_of)

 fun merge_attrs (s1, i1, e1, d1) (s2, i2, e2, d2) =

   (s1 @ s2, i1 @ i2, e1 @ e2, d1 @ d2)

 fun string_of_xthm (xref, args) =

   Facts.string_of_ref xref ^

   implode (map (enclose "[" "]" o Pretty.str_of

                 o Args.pretty_src @{context}) args)

 val parse_fact_refs =

   Scan.repeat1 (Scan.unless (Parse.name -- Args.colon)

                             (Parse_Spec.xthm >> string_of_xthm))

 val parse_attr =

      Args.$$$ "simp" |-- Args.colon |-- parse_fact_refs

      >> (fn ss => (ss, [], [], []))

   || Args.$$$ "intro" |-- Args.colon |-- parse_fact_refs

      >> (fn is => ([], is, [], []))

   || Args.$$$ "elim" |-- Args.colon |-- parse_fact_refs

      >> (fn es => ([], [], es, []))

   || Args.$$$ "dest" |-- Args.colon |-- parse_fact_refs

      >> (fn ds => ([], [], [], ds))

 fun parse_attrs x =

     (Args.parens parse_attrs

   || Scan.repeat parse_attr

      >> (fn quad => fold merge_attrs quad ([], [], [], []))) x

 val parse_try_methods_command =

   Scan.optional parse_attrs ([], [], [], []) #>> try_methods_trans

 val _ =

   Outer_Syntax.improper_command try_methodsN

       "try a combination of proof methods" Keyword.diag

       parse_try_methods_command

 val auto_try_methods = do_try_methods true NONE ([], [], [], [])

 val setup = Auto_Tools.register_tool (auto, auto_try_methods)

 end;