(*  Title:      src/Tools/isac/BridgeJEdit/Calculation.thy

     Author:     Walther Neuper, JKU Linz

 Outer syntax for Isabelle/Isac's Calculation interactive via Isabelle/PIDE.

 Second trial following Makarius' definition of "problem" already existing in this repository.

 *)

 theory Calculation

   imports

   (**)"$ISABELLE_ISAC/Knowledge/Build_Thydata"   (*remove after devel.of BridgeJEdit*)

   (**)"$ISABELLE_ISAC/MathEngine/MathEngine"

   (** )"SPARK_FDL"                             ( * remove after devel.of BridgeJEdit*)

 keywords "Example" :: thy_decl

 and "Problem" "Specification" "Model" "References" "Solution" 

 begin

 ML_file "parseC.sml"

 ML_file "preliminary.sml"

 section \<open>new code for Outer_Syntax Example  ...\<close>

 text \<open> 

   stepwise development starts at changeset

   https://hg.risc.uni-linz.ac.at/wneuper/isa/rev/9d98791b4080

   and can be inspected following the subsequent changesets..

 \<close>

 ML \<open>

 \<close> ML \<open>

 \<close> ML \<open>

 structure Data = Theory_Data

 (

   type T = Ctree.ctree option;

   val empty = NONE;

   val extend = I;

   fun merge _ = NONE;

 );

 val set_data = Data.put o SOME;

 fun the_data thy = 

   case Data.get thy of NONE => Ctree.EmptyPtree

   | SOME ctree => ctree;

 \<close> ML \<open>

 \<close> text \<open>

 A provisional Example collection.

 For notes from ISAC's discontinued Java front-end see

 https://isac.miraheze.org/wiki/Extend_ISAC_Knowledge#Add_an_example_in_XML_format

 \<close> ML \<open>

 type description = string

 type example = (description * Formalise.T)

 type example_id = string

 val example_store = Unsynchronized.ref ([]: (example_id * example) list)

 fun get_example example_id =

   case AList.lookup op= (!example_store) example_id of

     NONE => raise ERROR ("Examnple " ^ quote example_id ^ " not found")

   | SOME expl => expl

 \<close> ML \<open>

 get_example: example_id -> example;

 \<close> ML \<open>

 example_store := AList.update op= ("Diff_App/No.123 a", 

  ("The efficiency of an electrical coil depends on the mass of the kernel." ^

   "Given is a kernel with cross-sectional area determined by two rectangles" ^

   "of same shape as shown in the figure." ^

   "Given a radius r = 7, determine the length u and width v of the rectangles" ^

   "such that the cross-sectional area A (and thus the mass of the kernel) is a" ^

   "maximum. + Figure", 

    ([

    (*Problem model:*)

      "Constants [r = (7::real)]", "Maximum A", "AdditionalValues [u, v]",

      "Extremum (A = 2 * u * v - u \<up> 2)",

      "SideConditions [((u::real) / 2) \<up> 2 + (2 / v) \<up> 2 = r \<up> 2]",

      "SideConditions [((u::real) / 2) \<up> 2 + (2 / v) \<up> 2 = r \<up> 2]",

      "SideConditions [(u::real) / 2 = r * sin \<alpha>, 2 / v = r * cos \<alpha>]",

    (*MethodC model:*)

      "FunctionVariable a", "FunctionVariable b", "FunctionVariable \<alpha>",

      "Domain {0 <..< r}",

      "Domain {0 <..< r}",

      "Domain {0 <..< \<pi> / 2}",

      "ErrorBound (\<epsilon> = (0::real))"]: TermC.as_string list,

     ("Diff_App", ["univariate_calculus", "Optimisation"], 

       ["Optimisation", "by_univariate_calculus"]): References.T)): example) (!example_store)

 \<close> ML \<open>

 case get_example "Diff_App/No.123 a" of

   (_, ("Constants [r = (7::real)]" :: "Maximum A" :: "AdditionalValues [u, v]" :: _, 

     ("Diff_App", ["univariate_calculus", "Optimisation"] ,["Optimisation", "by_univariate_calculus"]))) 

     => ()

 | _ => error "intermed. example_store CHANGED";

 \<close> ML \<open>

 \<close> ML \<open>

 fun check_input (*ctxt o-model ??*) (_: Problem.model_input) = []: I_Model.T

 \<close> ML \<open>

 (*at the first encounter of an Example

   transfer Example to ctree:

     origin: eventually used by sub-problems, too

     O_Model: for check of missing items

     I_Model: for efficient check of user input

 *)

 \<close> ML \<open>

 \<close> ML \<open>

 \<close> ML \<open>

 \<close> ML \<open>

 \<close> ML \<open>

 fun init_ctree example_id =

     let

       val (_, (fmz as (model, refs as (_(*thy_id*), probl_id, _)))) = get_example example_id

       val o_model =    (* TODO works only within Isac_Test_Base ---vvvvvvvvvvvvvvv *)

       (*Problem.from_store probl_id |> #ppc |> O_Model.init model (ThyC.get_theory thy_id)*)

         Problem.from_store probl_id |> #ppc |> O_Model.init @{theory Diff_App} model

     in

       Ctree.Nd (Ctree.PblObj {

         fmz = fmz, origin = (o_model, refs, TermC.empty (*TODO handle CAS_Cmd*)),

         spec = References.empty, probl = I_Model.empty, meth = I_Model.empty,

         ctxt = ContextC.empty, loc = (NONE, NONE), 

         branch = Ctree.NoBranch, ostate = Ctree.Incomplete, result = (TermC.empty, [])}, [])

     end

 \<close> ML \<open>

 \<close> ML \<open>

 fun update_state (example_id, _) Ctree.EmptyPtree = init_ctree example_id

   (*TODO +switch RProblem | RMethod*)

   | update_state (_, (model, (thy_id, probl_id, meth_id)))

     (Ctree.Nd (Ctree.PblObj {fmz, origin, spec = _, probl = _, meth, ctxt, loc, branch, ostate, result}, 

       children)) =

     Ctree.Nd (Ctree.PblObj {

       fmz = fmz, origin = origin,

       spec = (thy_id, probl_id, meth_id), probl = check_input model, meth = meth,

       ctxt = ctxt, loc = loc, 

       branch = branch, ostate = ostate, result = result}, children)

   | update_state _ _ = raise ERROR "update_state: uncovered case in fun.def."

 \<close> ML \<open>

 update_state: example_id * (Problem.model_input * References.T) -> Ctree.ctree -> Ctree.ctree

 \<close> ML \<open>

 type references_input = (string * (string * string))

 \<close> ML \<open>

 val parse_references_input =

   Parse.!!! ( \<^keyword>\<open>Theory_Ref\<close> -- \<^keyword>\<open>Theory_Ref\<close> |-- Parse.name --

   Parse.!!! ( \<^keyword>\<open>Problem_Ref\<close> -- \<^keyword>\<open>Theory_Ref\<close> |-- Parse.name --

   Parse.!!! ( \<^keyword>\<open>Method_Ref\<close> -- \<^keyword>\<open>Theory_Ref\<close> |-- Parse.name)))

 \<close> ML \<open>

 parse_references_input: references_input parser (*TODO: dpes not yet work,

   thus in Outer_Syntax.command \<^command_keyword>\<open>Example\<close> replacced by Problem.parse_cas*)

 \<close> ML \<open>

 op --  : ('a -> 'b * 'c) * ('c -> 'd * 'e) -> 'a -> ('b * 'd) * 'e;

 op |-- : ('a -> 'b * 'c) * ('c -> 'd * 'e) -> 'a -> 'd * 'e

 \<close> ML \<open>

 \<close> ML \<open>

 \<close> ML \<open>

 val _ =

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

     "prepare ISAC problem type and register it to Knowledge Store"

     (Parse.name -- Parse.!!! (  \<^keyword>\<open>Problem\<close> |-- Parse.name -- 

        Parse.!!! ( \<^keyword>\<open>Specification\<close> -- \<^keyword>\<open>:\<close> --

          \<^keyword>\<open>Model\<close> -- \<^keyword>\<open>:\<close>  |-- Problem.parse_model_input --

          Parse.!!! ( \<^keyword>\<open>References\<close> -- \<^keyword>\<open>:\<close> |-- (*parse_references_input*)Problem.parse_cas))) >>

       (fn (example_id, (_(*probl_id'*), (model_input, _(*references_input*)))) =>

         Toplevel.theory (fn thy =>

           let

             val (thy_id, (probl_id, meth_id)) = (*references_input*)("Diff_App", ("univariate_calculus/Optimisation", "Optimisation/by_univariate_calculus"))

             val input = update_state (example_id, (model_input, 

               (thy_id, References_Def.explode_id probl_id, References_Def.explode_id meth_id)))

                 Ctree.EmptyPtree;

           in set_data input thy end)));

 \<close> ML \<open>

 \<close> ML \<open>

 (*/----------------------------------------------------------------------------\*)

      Parse.name -- Parse.!!! (  \<^keyword>\<open>Problem\<close> |-- Parse.name -- 

        Parse.!!! ( \<^keyword>\<open>Specification\<close> -- \<^keyword>\<open>:\<close> --

          \<^keyword>\<open>Model\<close> -- \<^keyword>\<open>:\<close>  |-- Problem.parse_model_input --

          Parse.!!! ( \<^keyword>\<open>References\<close> -- \<^keyword>\<open>:\<close> |-- parse_references_input)))

 : (string * (string * (Problem.model_input * references_input))) parser

 (*\----------------------------------------------------------------------------/*) 

 : Token.T list ->

 (*/----------------------------------------------------------------------------\*)

     (string * (string * (Problem.model_input * references_input)))

 (*\----------------------------------------------------------------------------/*)

 * Token.T list

 (*/----------------------------------------------------------------------------\* )

    the type above is the type of the argument of \<open>(fn (_(*name*),..\<close> 

 ( *\----------------------------------------------------------------------------/*)

 \<close> ML \<open>

 \<close> ML \<open>

 \<close> 

 end