src/Tools/isac/Interpret/solve-step.sml
author Walther Neuper <walther.neuper@jku.at>
Sat, 02 May 2020 17:39:04 +0200
changeset 59931 cc5b51681c4b
parent 59929 d2be99d0bf1e
child 59932 87336f3b021f
permissions -rw-r--r--
prep. new Solve_Step.add
     1 (* Title:  Specify/solve-step.sml
     2    Author: Walther Neuper
     3    (c) due to copyright terms
     4 
     5 Code for the solve-phase in analogy to structure Specify_Step for the specify-phase.
     6 *)
     7 
     8 signature SOLVE_STEP =
     9 sig
    10   val check: Tactic.input -> Calc.T -> Applicable.T
    11   val add: Tactic.T -> Istate_Def.T * Proof.context -> Calc.T -> Generate.test_out
    12 (* ---- for tests only: shifted from below to remove the Warning "unused" at fun.def. --------- *)
    13   (*NONE*)                                                     
    14 (*/-------------------------------------------------------- ! aktivate for Test_Isac BEGIN ---\* )
    15   (*NONE*)                                                     
    16 ( *\--- ! aktivate for Test_Isac END ----------------------------------------------------------/*)
    17 end
    18 
    19 (**)
    20 structure Solve_Step(** ): SOLVE_STEP( **) =
    21 struct
    22 (**)
    23 
    24 (*
    25   check tactics (input by the user, mostly) for applicability
    26   and determine as much of the result of the tactic as possible initially.
    27 *)
    28 fun check (Tactic.Calculate op_) (cs as (pt, (p, _))) =
    29       let 
    30         val (msg, thy', isa_fn) = ApplicableOLD.from_pblobj_or_detail_calc op_ p pt;
    31         val f = Calc.current_formula cs;
    32       in
    33         if msg = "OK"
    34         then
    35     	    case Rewrite.calculate_ (ThyC.get_theory thy') isa_fn f of
    36     	      SOME (f', (id, thm))
    37     	        => Applicable.Yes (Tactic.Calculate' (thy', op_, f, (f', (id, thm))))
    38     	    | NONE => Applicable.No ("'calculate " ^ op_ ^ "' not applicable") 
    39         else Applicable.No msg                                              
    40       end
    41   | check (Tactic.Check_Postcond pI) (_, _) = (*TODO: only applicable, if evaluating to True*)
    42       Applicable.Yes (Tactic.Check_Postcond' (pI, TermC.empty))
    43   | check (Tactic.Check_elementwise pred) cs =
    44       let 
    45         val f = Calc.current_formula cs;
    46       in
    47         Applicable.Yes (Tactic.Check_elementwise' (f, pred, (f, [])))
    48       end
    49   | check Tactic.Empty_Tac _ = Applicable.No "Empty_Tac is not applicable"
    50   | check (Tactic.Free_Solve) _ = Applicable.Yes (Tactic.Free_Solve')
    51   | check Tactic.Or_to_List cs =
    52        let 
    53         val f = Calc.current_formula cs;
    54         val ls = Prog_Expr.or2list f;
    55       in
    56         Applicable.Yes (Tactic.Or_to_List' (f, ls))
    57       end
    58   | check (Tactic.Rewrite thm) (cs as (pt, (p, _))) = 
    59       let
    60         val (msg, thy', ro, rls', _) = ApplicableOLD.from_pblobj_or_detail_thm thm p pt;
    61         val thy = ThyC.get_theory thy';
    62         val f = Calc.current_formula cs;
    63       in
    64         if msg = "OK" 
    65         then
    66           case Rewrite.rewrite_ thy (Rewrite_Ord.assoc_rew_ord ro) rls' false (snd thm) f of
    67             SOME (f',asm) => Applicable.Yes (Tactic.Rewrite' (thy', ro, rls', false, thm, f, (f', asm)))
    68           | NONE => Applicable.No ((thm |> fst |> quote) ^ " not applicable") 
    69         else Applicable.No msg
    70       end
    71   | check (Tactic.Rewrite_Inst (subs, thm)) (cs as (pt, (p, _))) = 
    72       let 
    73         val pp = Ctree.par_pblobj pt p;
    74         val thy' = Ctree.get_obj Ctree.g_domID pt pp;
    75         val thy = ThyC.get_theory thy';
    76         val {rew_ord' = ro', erls = erls, ...} = Specify.get_met (Ctree.get_obj Ctree.g_metID pt pp);
    77         val f = Calc.current_formula cs;
    78         val subst = Subst.T_from_input thy subs; (*TODO: input requires parse _: _ -> _ option*)
    79       in 
    80         case Rewrite.rewrite_inst_ thy (Rewrite_Ord.assoc_rew_ord ro') erls false subst (snd thm) f of
    81           SOME (f', asm) =>
    82             Applicable.Yes (Tactic.Rewrite_Inst' (thy', ro', erls, false, subst, thm, f, (f', asm)))
    83         | NONE => Applicable.No (fst thm ^ " not applicable")
    84       end
    85   | check (Tactic.Rewrite_Set rls) (cs as (pt, (p, _))) =
    86       let 
    87         val pp = Ctree.par_pblobj pt p; 
    88         val thy' = Ctree.get_obj Ctree.g_domID pt pp;
    89         val f = Calc.current_formula cs;
    90       in
    91         case Rewrite.rewrite_set_ (ThyC.get_theory thy') false (assoc_rls rls) f of
    92           SOME (f', asm)
    93             => Applicable.Yes (Tactic.Rewrite_Set' (thy', false, assoc_rls rls, f, (f', asm)))
    94           | NONE => Applicable.No (rls ^ " not applicable")
    95       end
    96   | check (Tactic.Rewrite_Set_Inst (subs, rls)) (cs as (pt, (p, _))) =
    97       let 
    98         val pp = Ctree.par_pblobj pt p;
    99         val thy' = Ctree.get_obj Ctree.g_domID pt pp;
   100         val thy = ThyC.get_theory thy';
   101         val f = Calc.current_formula cs;
   102     	  val subst = Subst.T_from_input thy subs; (*TODO: input requires parse _: _ -> _ option*)
   103       in 
   104         case Rewrite.rewrite_set_inst_ thy false subst (assoc_rls rls) f of
   105           SOME (f', asm)
   106             => Applicable.Yes (Tactic.Rewrite_Set_Inst' (thy', false, subst, assoc_rls rls, f, (f', asm)))
   107         | NONE => Applicable.No (rls ^ " not applicable")
   108       end
   109   | check (Tactic.Subproblem (domID, pblID)) (_, _) = 
   110       Applicable.Yes (Tactic.Subproblem' ((domID, pblID, Method.id_empty), [], 
   111 			  TermC.empty, [], ContextC.empty, Auto_Prog.subpbl domID pblID))
   112    | check (Tactic.Substitute sube) (cs as (pt, (p, _))) =
   113       let
   114         val pp = Ctree.par_pblobj pt p
   115         val thy = ThyC.get_theory (Ctree.get_obj Ctree.g_domID pt pp)
   116         val f = Calc.current_formula cs;
   117 		    val {rew_ord', erls, ...} = Specify.get_met (Ctree.get_obj Ctree.g_metID pt pp)
   118 		    val subte = Subst.input_to_terms sube (*TODO: input requires parse _: _ -> _ option*)
   119 		    val subst = Subst.T_from_string_eqs thy sube
   120 		    val ro = Rewrite_Ord.assoc_rew_ord rew_ord'
   121 		  in
   122 		    if foldl and_ (true, map TermC.contains_Var subte)
   123 		    then (*1*)
   124 		      let val f' = subst_atomic subst f
   125 		      in if f = f'
   126 		        then Applicable.No (Subst.string_eqs_to_string sube ^ " not applicable")
   127 		        else Applicable.Yes (Tactic.Substitute' (ro, erls, subte, f, f'))
   128 		      end
   129 		    else (*2*)
   130 		      case Rewrite.rewrite_terms_ thy ro erls subte f of
   131 		        SOME (f', _) =>  Applicable.Yes (Tactic.Substitute' (ro, erls, subte, f, f'))
   132 		      | NONE => Applicable.No (Subst.string_eqs_to_string sube ^ " not applicable")
   133 		  end
   134   | check (Tactic.Tac id) (cs as (pt, (p, _))) =
   135       let 
   136         val pp = Ctree.par_pblobj pt p; 
   137         val thy' = Ctree.get_obj Ctree.g_domID pt pp;
   138         val thy = ThyC.get_theory thy';
   139         val f = Calc.current_formula cs;
   140       in case id of
   141         "subproblem_equation_dummy" =>
   142     	  if TermC.is_expliceq f
   143     	  then Applicable.Yes (Tactic.Tac_ (thy, UnparseC.term f, id, "subproblem_equation_dummy (" ^ UnparseC.term f ^ ")"))
   144     	  else Applicable.No "applicable only to equations made explicit"
   145       | "solve_equation_dummy" =>
   146     	  let val (id', f') = ApplicableOLD.split_dummy (UnparseC.term f);
   147     	  in
   148     	    if id' <> "subproblem_equation_dummy"
   149     	    then Applicable.No "no subproblem"
   150     	    else if (ThyC.to_ctxt thy, f') |-> TermC.parseNEW |> the |> TermC.is_expliceq
   151     		    then Applicable.Yes (Tactic.Tac_ (thy, UnparseC.term f, id, "[" ^ f' ^ "]"))
   152     		    else error ("Solve_Step.check: f= " ^ f')
   153         end
   154       | _ => Applicable.Yes (Tactic.Tac_ (thy, UnparseC.term f, id, UnparseC.term f))
   155       end
   156   | check (Tactic.Take str) _ = Applicable.Yes (Tactic.Take' (TermC.str2term str)) (* always applicable ?*)
   157   | check (Tactic.Begin_Trans) cs =
   158       Applicable.Yes (Tactic.Begin_Trans' (Calc.current_formula cs))
   159   | check (Tactic.End_Trans) (pt, (p, p_)) = (*TODO: check parent branches*)
   160     if p_ = Pos.Res 
   161 	  then Applicable.Yes (Tactic.End_Trans' (Ctree.get_obj Ctree.g_result pt p))
   162     else Applicable.No "'End_Trans' is not applicable at the beginning of a transitive sequence"
   163   | check Tactic.End_Proof' _ = Applicable.Yes Tactic.End_Proof''
   164   | check m _ = raise ERROR ("Solve_Step.check called for " ^ Tactic.input_to_string m);
   165 
   166 fun add (Tactic.Take' t) l (pt, (p, _)) = (* val (Take' t) = m; *)
   167     let
   168       val p =
   169         let val (ps, p') = split_last p (* no connex to prev.ppobj *)
   170 	      in if p' = 0 then ps @ [1] else p end
   171       val (pt, c) = Ctree.cappend_form pt p l t
   172     in
   173       ((p, Pos.Frm), c, Generate.FormKF (UnparseC.term t), pt)
   174     end
   175   | add (Tactic.Begin_Trans' t) l (pt, (p, Pos.Frm)) =
   176     let
   177       val (pt, c) = Ctree.cappend_form pt p l t
   178       val pt = Ctree.update_branch pt p Ctree.TransitiveB (*040312*)
   179       (* replace the old PrfOjb ~~~~~ *)
   180       val p = (Pos.lev_on o Pos.lev_dn (* starts with [...,0] *)) p
   181       val (pt, c') = Ctree.cappend_form pt p l t (*FIXME.0402 same istate ???*)
   182     in
   183       ((p, Pos.Frm), c @ c', Generate.FormKF (UnparseC.term t), pt)
   184     end
   185   | add (Tactic.Begin_Trans' t) l (pt, (p, Pos.Res)) = 
   186     (*append after existing PrfObj    vvvvvvvvvvvvv*)
   187     add (Tactic.Begin_Trans' t) l (pt, (Pos.lev_on p, Pos.Frm))
   188   | add (Tactic.End_Trans' tasm) l (pt, (p, _)) =
   189     let
   190       val p' = Pos.lev_up p
   191       val (pt, c) = Ctree.append_result pt p' l tasm Ctree.Complete
   192     in
   193       ((p', Pos.Res), c, Generate.FormKF "DUMMY" (*term2str t ..ERROR (t) has not been declared*), pt)
   194     end
   195   | add (Tactic.Rewrite_Inst' (_, _, _, _, subs', thm', f, (f', asm))) (is, ctxt) (pt, (p, _)) =
   196     let
   197       val (pt, c) = Ctree.cappend_atomic pt p (is, ctxt) f
   198         (Tactic.Rewrite_Inst (Subst.T_to_input subs', thm')) (f',asm) Ctree.Complete;
   199       val pt = Ctree.update_branch pt p Ctree.TransitiveB
   200     in
   201       ((p, Pos.Res), c, Generate.FormKF (UnparseC.term f'), pt)
   202     end
   203  | add (Tactic.Rewrite' (_, _, _, _, thm', f, (f', asm))) (is, ctxt) (pt, (p, _)) =
   204    let
   205      val (pt, c) = Ctree.cappend_atomic pt p (is, ctxt) f (Tactic.Rewrite thm') (f', asm) Ctree.Complete
   206      val pt = Ctree.update_branch pt p Ctree.TransitiveB
   207    in
   208     ((p, Pos.Res), c, Generate.FormKF (UnparseC.term f'), pt)
   209    end
   210   | add (Tactic.Rewrite_Set_Inst' (_, _, subs', rls', f, (f', asm))) (is, ctxt) (pt, (p, _)) =
   211     let
   212       val (pt, c) = Ctree.cappend_atomic pt p (is, ctxt) f 
   213         (Tactic.Rewrite_Set_Inst (Subst.T_to_input subs', Rule_Set.id rls')) (f', asm) Ctree.Complete
   214       val pt = Ctree.update_branch pt p Ctree.TransitiveB
   215     in
   216       ((p, Pos.Res), c, Generate.FormKF (UnparseC.term f'), pt)
   217     end
   218   | add (Tactic.Rewrite_Set' (_, _, rls', f, (f', asm))) (is, ctxt) (pt, (p, _)) =
   219     let
   220       val (pt, c) = Ctree.cappend_atomic pt p (is, ctxt) f 
   221         (Tactic.Rewrite_Set (Rule_Set.id rls')) (f', asm) Ctree.Complete
   222       val pt = Ctree.update_branch pt p Ctree.TransitiveB
   223     in
   224       ((p, Pos.Res), c, Generate.FormKF (UnparseC.term f'), pt)
   225     end
   226   | add (Tactic.Check_Postcond' (_, scval)) l (pt, (p, _)) =
   227       let
   228         val (pt, c) = Ctree.append_result pt p l (scval, []) Ctree.Complete
   229       in
   230         ((p, Pos.Res), c, Generate.FormKF (UnparseC.term scval), pt)
   231       end
   232   | add (Tactic.Calculate' (_, op_, f, (f', _))) l (pt, (p, _)) =
   233       let
   234         val (pt,c) = Ctree.cappend_atomic pt p l f (Tactic.Calculate op_) (f', []) Ctree.Complete
   235       in
   236         ((p, Pos.Res), c, Generate.FormKF (UnparseC.term f'), pt)
   237       end
   238   | add (Tactic.Check_elementwise' (consts, pred, (f', asm))) l (pt, (p, _)) =
   239       let
   240         val (pt,c) = Ctree.cappend_atomic pt p l consts (Tactic.Check_elementwise pred) (f', asm) Ctree.Complete
   241       in
   242         ((p, Pos.Res), c, Generate.FormKF (UnparseC.term f'), pt)
   243       end
   244   | add (Tactic.Or_to_List' (ors, list)) l (pt, (p, _)) =
   245       let
   246         val (pt,c) = Ctree.cappend_atomic pt p l ors Tactic.Or_to_List (list, []) Ctree.Complete
   247       in
   248         ((p, Pos.Res), c, Generate.FormKF (UnparseC.term list), pt)
   249       end
   250   | add (Tactic.Substitute' (_, _, subte, t, t')) l (pt, (p, _)) =
   251       let
   252         val (pt,c) =
   253           Ctree.cappend_atomic pt p l t (Tactic.Substitute (Subst.eqs_to_input subte)) (t',[]) Ctree.Complete
   254         in ((p, Pos.Res), c, Generate.FormKF (UnparseC.term t'), pt) 
   255         end
   256   | add (Tactic.Tac_ (_, f, id, f')) l (pt, (p, _)) =
   257       let
   258         val (pt, c) = Ctree.cappend_atomic pt p l (TermC.str2term f) (Tactic.Tac id) (TermC.str2term f', []) Ctree.Complete
   259       in
   260         ((p,Pos.Res), c, Generate.FormKF f', pt)
   261       end
   262   | add (Tactic.Subproblem' ((domID, pblID, metID), oris, hdl, fmz_, ctxt_specify, f))
   263       (l as (_, ctxt)) (pt, (p, _)) =
   264     let
   265 	    val (pt, c) = Ctree.cappend_problem pt p l (fmz_, (domID, pblID, metID))
   266 	      (oris, (domID, pblID, metID), hdl, ctxt_specify)
   267 	    val f = Syntax.string_of_term (ThyC.to_ctxt (Proof_Context.theory_of ctxt)) f
   268     in
   269       ((p, Pos.Pbl), c, Generate.FormKF f, pt)
   270     end
   271   | add m' _ _ = raise ERROR ("add: not impl.for " ^ Tactic.string_of m')
   272 
   273 (**)end(**);