(* Title:  Interpret/lucas-interpreter.sml

    Author: Walther Neuper 2019

    (c) due to copyright terms

 *)

 signature COMPUTER_ALGEBRA_SYSTEM_COMMAND =

 sig

   type input_pos

   type T = CAS_Def.T

   val input : term -> (Ctree.ctree * SpecificationC.T) option

   val is_from: TermC.as_string -> Formalise.T -> bool

 \<^isac_test>\<open>

   val input_: References.T -> (term * term list) list ->

     Problem.id * I_Model.T * MethodC.id * I_Model.T * Pre_Conds.T * Proof.context

   val dtss2itm_: Model_Pattern.T -> term * term list ->

     int list * bool * string * I_Model.feedback (*I_Model.single'*)

   val flattup2: 'a * ('b * 'c * 'd * 'e) -> 'a * 'b * 'c * 'd * 'e

 \<close>

 end

 (**)

 structure CAS_Cmd(**): COMPUTER_ALGEBRA_SYSTEM_COMMAND(**) =

 struct

 (**)

 type input_pos = CAS_Def.input_pos;

 type T = CAS_Def.T; (*(term * (References_Def.T * generate_fn))*)

 fun dtss2itm_ model (d, ts) =

   let

     val (f, (d, id)) = the (find_first ((curry op= d) o 

   		(#1: (term * term) -> term) o

   		(#2: Model_Pattern.single -> (term * term))) model)

   in

     ([1], true, f, I_Model.Cor ((d, ts), (id, ts)))

   end

 fun flattup2 (a, (b ,c, d, e)) = (a, b, c, d, e)

 fun is_from (hdf : TermC.as_string) ((fmz_, spec) : Formalise.T) =

   hdf <> "" andalso fmz_ = [] andalso spec = References.empty

 fun input_ ((dI, pI, mI): References.T) dtss = (*WN110515 reconsider thy..ctxt*)

   let

     val thy = ThyC.get_theory dI

     val ctxt = Proof_Context.init_global thy

 	  val {model, ...} = Problem.from_store ctxt pI

 	  val its_ = map (dtss2itm_ model) dtss (*([1],true,"#Given",Cor (...))*)

 	  val its = O_Model.add_enumerate its_

 	  val pits = map flattup2 its

 	  val (pI, mI) =

       if mI <> ["no_met"]

       then (pI, mI)

 		  else

         case Refine.problem thy pI pits of

 			    SOME (pI, _) => (pI, (hd o #solve_mets o Problem.from_store ctxt) pI)

 			  | NONE => (pI, (hd o #solve_mets o Problem.from_store ctxt) pI)

 	  val {model, where_, where_rls, ...} = MethodC.from_store ctxt mI

 	  val its_ = map (dtss2itm_ model) dtss (*([1],true,"#Given",Cor (...))*)

 	  val its = O_Model.add_enumerate its_

 	  val mits = map flattup2 its

 	  val (_, where_) = Pre_Conds.check ctxt where_rls where_ mits 0

     val ctxt = Proof_Context.init_global thy

   in (pI, pits, mI, mits, where_, ctxt) end;

 (* check if the input term is a CAScmd and return a ctree with a _complete_ calchead *)

 fun input hdt =

   let

     val (h, argl) = strip_comb hdt

   in

     case get_cas_global h of

       NONE => NONE

     | SOME (spec as (dI,_,_), argl2dtss) =>

 	      let

           val dtss = argl2dtss argl

 	        val (pI, pits, mI, mits, where_, ctxt) = input_ spec dtss

 	        val spec = (dI, pI, mI)

 	        val (pt,_) = Ctree.cappend_problem Ctree.e_ctree [] (Istate_Def.empty, ContextC.empty)

 		        ([], References.empty) ([], References.empty, hdt, ctxt)

 	        val pt = Ctree.update_spec pt [] spec

 	        val pt = Ctree.update_pbl pt [] pits

 	        val pt = Ctree.update_met pt [] mits

 	      in

 	        SOME (pt, (true, Pos.Met, hdt, mits, where_, spec) : SpecificationC.T)

 	      end

   end

 (** Isar command **)

 local

 val parse_theory = Problem.parse_item_name \<^keyword>\<open>Theory_Ref\<close> "Isac_Knowledge";

 val parse_problem = Problem.parse_item \<^keyword>\<open>Problem_Ref\<close> Parse.name;

 val parse_method = Problem.parse_item_name \<^keyword>\<open>Method_Ref\<close> "no_met";

 val ml = ML_Lex.read;

 val _ =

   Outer_Syntax.command \<^command_keyword>\<open>cas\<close>

     "prepare ISAC Computer-Algebra System and register it to Knowledge Store"

     (Parse.term -- (\<^keyword>\<open>=\<close> |--

       Parse.!!! (Parse.ML_source -- parse_theory -- parse_problem -- parse_method))

       >> (fn (term, (((source, thry), pbl), met)) => Toplevel.theory (fn thy =>

         let

         (*/------------ replace by ParseC.term_position ------------------\*)

           val SOME t = ParseC.term_opt (Proof_Context.init_global thy) term;

         (*\------------ replace by ParseC.term_position ------------------/*)

           val pblID = References_Def.explode_id pbl;

           val metID = References_Def.explode_id met;

           val set_data =

             ML_Context.expression (Input.pos_of source)

               (ml "Theory.setup (CAS_Def.set_data (" @ ML_Lex.read_source source @ ml "))")

             |> Context.theory_map;

           val data = CAS_Def.the_data (set_data thy);

         in Know_Store.add_cass [(t, ((thry, pblID, metID), data))] thy end)));

 in end;

 (**)end(**)