(* Title:  Tactics; tac_ for interaction with frontend, input for internal use.

   Author: Walther Neuper 170121

   (c) due to copyright terms

regular expression for search:

Add_Find|Add_Given|Add_Relation|Apply_Assumption|Apply_Method|Begin_Sequ|Begin_Trans|Split_And|Split_Or|Split_Intersect|Conclude_And|Conclude_Or|Collect_Trues|End_Sequ|End_Trans|End_Ruleset|End_Subproblem|End_Intersect|End_Proof|CAScmd|Calculate|Check_Postcond|Check_elementwise|Del_Find|Del_Given|Del_Relation|Derive|Detail_Set|Detail_Set_Inst|End_Detail|Empty_Tac|Free_Solve|Init_Proof|Model_Problem Or_to_List|Refine_Problem|Refine_Tacitly| Rewrite|Rewrite_Asm|Rewrite_Inst|Rewrite_Set|Rewrite_Set_Inst|Specify_Method|Specify_Problem|Specify_Theory|Subproblem|Substitute|Tac|Take|Take_Inst

*)

signature TACTIC =

sig

  datatype T = datatype Tactic_Def.T

  val string_of : T -> string

  datatype input = datatype Tactic_Def.input

  val tac2str : input -> string

  val eq_tac : input * input -> bool

  val is_empty_tac : input -> bool

  val is_rewtac : input -> bool

  val is_rewset : input -> bool

  val rls_of : input -> Rule.rls'

  val tac2IDstr : input -> string

  val rule2tac : theory -> (term * term) list ->  Rule.rule -> input

  val input_from_T : T -> input

  val result : T -> term

  val creates_assms: T -> term list

  val insert_assumptions: T -> Proof.context -> Proof.context

(* ---- for tests only: shifted from below to remove the Warning "unused" at fun.def. --------- *)

  (* NONE *)

(*/-------------------------------------------------------- ! aktivate for Test_Isac BEGIN ---\* )

  (* NONE *)

( *\--- ! aktivate for Test_Isac END ----------------------------------------------------------/*)

(*----- unused code, kept as hints to design ideas ---------------------------------------------*)

  (* NONE *)

end

(**)

structure Tactic(**): TACTIC(**) =

struct

(**)

(* tactics for user at front-end.

   input propagates the construction of the calc-tree;

   there are

   (a) 'specsteps' for the specify-phase, and others for the solve-phase

   (b) those of the solve-phase are 'initac's and others;

       initacs start with a formula different from the preceding formula.

   see 'type tac_' for the internal representation of tactics

*)

datatype input = datatype Tactic_Def.input

val tac2str = Tactic_Def.tac2str

val is_empty_tac = Tactic_Def.is_empty_tac

fun eq_tac (Rewrite (id1, _), Rewrite (id2, _)) = id1 = id2

  | eq_tac (Rewrite_Inst (_, (id1, _)), Rewrite_Inst (_, (id2, _))) = id1 = id2

  | eq_tac (Rewrite_Set id1, Rewrite_Set id2) = id1 = id2

  | eq_tac (Rewrite_Set_Inst (_, id1), Rewrite_Set_Inst (_, id2)) = id1 = id2

  | eq_tac (Calculate id1, Calculate id2) = id1 = id2

  | eq_tac _ = false

fun is_rewset (Rewrite_Set_Inst _) = true

  | is_rewset (Rewrite_Set _) = true 

  | is_rewset _ = false;

fun is_rewtac (Rewrite _) = true

  | is_rewtac (Rewrite_Inst _) = true

  | is_rewtac (Rewrite_Asm _) = true

  | is_rewtac input = is_rewset input;

fun tac2IDstr ma = case ma of

    Model_Problem => "Model_Problem"

  | Refine_Tacitly _ => "Refine_Tacitly"

  | Refine_Problem _ => "Refine_Problem"

  | Add_Given _ => "Add_Given"

  | Del_Given _ => "Del_Given"

  | Add_Find _ => "Add_Find"

  | Del_Find _ => "Del_Find"

  | Add_Relation _ => "Add_Relation"

  | Del_Relation _ => "Del_Relation"

  | Specify_Theory _ => "Specify_Theory"

  | Specify_Problem _ => "Specify_Problem"

  | Specify_Method _ => "Specify_Method"

  | Apply_Method _ => "Apply_Method"

  | Check_Postcond _ => "Check_Postcond"

  | Free_Solve => "Free_Solve"

  | Rewrite_Inst _ => "Rewrite_Inst"

  | Rewrite _ => "Rewrite"

  | Rewrite_Asm _ => "Rewrite_Asm"

  | Rewrite_Set_Inst _ => "Rewrite_Set_Inst"

  | Rewrite_Set _ => "Rewrite_Set"

  | Detail_Set _ => "Detail_Set"

  | Detail_Set_Inst _ => "Detail_Set_Inst"

  | Derive _ => "Derive "

  | Calculate _ => "Calculate "

  | Substitute _ => "Substitute" 

  | Apply_Assumption _ => "Apply_Assumption"

  | Take _ => "Take"

  | Take_Inst _ => "Take_Inst"

  | Subproblem _ => "Subproblem"

  | End_Subproblem => "End_Subproblem"

  | CAScmd _ => "CAScmd"

  | Check_elementwise _ => "Check_elementwise"

  | Or_to_List => "Or_to_List "

  | Collect_Trues => "Collect_Trues"

  | Empty_Tac => "Empty_Tac"

  | Tac _ => "Tac "

  | End_Proof' => "End_Proof'"

  | _ => "tac2str not impl. for ?!";

fun rls_of (Rewrite_Set_Inst (_, rls)) = rls

  | rls_of (Rewrite_Set rls) = rls

  | rls_of input = error ("rls_of: called with input \"" ^ tac2IDstr input ^ "\"");

fun rule2tac thy _ (Rule.Calc (opID, _)) = Calculate (assoc_calc thy opID)

  | rule2tac _ [] (Rule.Thm thm'') = Rewrite thm''

  | rule2tac _ subst (Rule.Thm thm'') = 

    Rewrite_Inst (Selem.subst2subs subst, thm'')

  | rule2tac _ [] (Rule.Rls_ rls) = Rewrite_Set (Rule.id_rls rls)

  | rule2tac _ subst (Rule.Rls_ rls) = 

    Rewrite_Set_Inst (Selem.subst2subs subst, (Rule.id_rls rls))

  | rule2tac _ _ rule = 

    error ("rule2tac: called with \"" ^ Rule.rule2str rule ^ "\"");

(* tactics for for internal use, compare "input" for user at the front-end.

  tac_ contains results from check in 'fun applicable_in'.

  This is useful for costly results, e.g. from rewriting;

  however, these results might be changed by Scripts like

      "      eq = (Rewrite_Set ''ansatz_rls'' False) eql;" ^

      "      eq = (Rewrite_Set equival_trans False) eq;" ^

  TODO.WN120106 ANALOGOUSLY TO Substitute':

  So tac_ contains the term t the result was calculated from

  in order to compare t with t' possibly changed by "Expr "

  and re-calculate result if t<>t'

  TODO.WN161219: replace *every* cterm' by term

*)

  datatype T = datatype Tactic_Def.T

val string_of = Tactic_Def.string_of

fun input_from_T (Refine_Tacitly' (pI, _, _, _, _)) = Refine_Tacitly pI

  | input_from_T (Model_Problem' (_, _, _)) = Model_Problem

  | input_from_T (Add_Given' (t, _)) = Add_Given t

  | input_from_T (Add_Find' (t, _)) = Add_Find t

  | input_from_T (Add_Relation' (t, _)) = Add_Relation t

  | input_from_T (Specify_Theory' dI) = Specify_Theory dI

  | input_from_T (Specify_Problem' (dI, _)) = Specify_Problem dI

  | input_from_T (Specify_Method' (dI, _, _)) = Specify_Method dI

  | input_from_T (Rewrite' (_, _, _, _, thm, _, _)) = Rewrite thm

  | input_from_T (Rewrite_Inst' (_, _, _, _, sub, thm, _, _)) = Rewrite_Inst (Selem.subst2subs sub, thm)

  | input_from_T (Rewrite_Set' (_, _, rls, _, _)) = Rewrite_Set (Rule.id_rls rls)

  | input_from_T (Detail_Set' (_, _, rls, _, _)) = Detail_Set (Rule.id_rls rls)

  | input_from_T (Rewrite_Set_Inst' (_, _, sub, rls, _, _)) = 

    Rewrite_Set_Inst (Selem.subst2subs sub, Rule.id_rls rls)

  | input_from_T (Detail_Set_Inst' (_, _, sub, rls, _, _)) = 

    Detail_Set_Inst (Selem.subst2subs sub, Rule.id_rls rls)

  | input_from_T (Calculate' (_, op_, _, _)) = Calculate (op_)

  | input_from_T (Check_elementwise' (_, pred, _)) = Check_elementwise pred

  | input_from_T (Or_to_List' _) = Or_to_List

  | input_from_T (Take' term) = Take (Rule.term2str term)

  | input_from_T (Substitute' (_, _, subte, _, _)) = Substitute (Selem.subte2sube subte) 

  | input_from_T (Tac_ (_, _, id, _)) = Tac id

  | input_from_T (Subproblem' ((domID, pblID, _), _, _, _,_ ,_)) = Subproblem (domID, pblID)

  | input_from_T (Check_Postcond' (pblID, _)) = Check_Postcond pblID

  | input_from_T Empty_Tac_ = Empty_Tac

  | input_from_T m = error (": not impl. for "^(string_of m));

fun res (Rewrite_Inst' (_ , _, _, _, _, _, _, res)) = res

  | res (Rewrite' (_, _, _, _, _, _, res)) = res

  | res (Rewrite_Set_Inst' (_, _, _, _, _, res)) = res

  | res (Rewrite_Set' (_, _, _, _, res)) = res

  | res (Calculate' (_, _, _, (t, _))) = (t, [])

  | res (Check_elementwise' (_, _, res)) = res

  | res (Subproblem' (_, _, _, _, _, t)) = (t, [])

  | res (Take' t) = (t, [])

  | res (Substitute' (_, _, _, _, t)) = (t, [])

  | res (Or_to_List' (_,  t)) = (t, [])

  | res m = raise ERROR ("result: not impl.for " ^ string_of m)

(*fun result m = (fst o res) m; TODO*)

fun result tac = (fst o res) tac;

fun creates_assms tac = (snd o res) tac;

fun insert_assumptions tac ctxt  = ContextC.insert_assumptions (creates_assms tac) ctxt

(**)end(**)