(*  Title:      Pure/Isar/code.ML

     ID:         $Id$

     Author:     Florian Haftmann, TU Muenchen

 Abstract executable content of theory.  Management of data dependent on

 executable content.  Cache assumes non-concurrent processing of a single theory.

 *)

 signature CODE =

 sig

   val add_func: thm -> theory -> theory

   val add_liberal_func: thm -> theory -> theory

   val add_default_func: thm -> theory -> theory

   val add_default_func_attr: Attrib.src

   val del_func: thm -> theory -> theory

   val del_funcs: string -> theory -> theory

   val add_funcl: string * thm list Susp.T -> theory -> theory

   val add_inline: thm -> theory -> theory

   val del_inline: thm -> theory -> theory

   val add_inline_proc: string * (theory -> cterm list -> thm list) -> theory -> theory

   val del_inline_proc: string -> theory -> theory

   val add_preproc: string * (theory -> thm list -> thm list) -> theory -> theory

   val del_preproc: string -> theory -> theory

   val add_post: thm -> theory -> theory

   val del_post: thm -> theory -> theory

   val add_datatype: (string * typ) list -> theory -> theory

   val add_datatype_cmd: string list -> theory -> theory

   val type_interpretation:

     (string * ((string * sort) list * (string * typ list) list)

       -> theory -> theory) -> theory -> theory

   val add_case: thm -> theory -> theory

   val add_undefined: string -> theory -> theory

   val coregular_algebra: theory -> Sorts.algebra

   val operational_algebra: theory -> (sort -> sort) * Sorts.algebra

   val these_funcs: theory -> string -> thm list

   val get_datatype: theory -> string -> ((string * sort) list * (string * typ list) list)

   val get_datatype_of_constr: theory -> string -> string option

   val get_case_data: theory -> string -> (int * string list) option

   val is_undefined: theory -> string -> bool

   val default_typ: theory -> string -> typ

   val preprocess_conv: cterm -> thm

   val preprocess_term: theory -> term -> term

   val postprocess_conv: cterm -> thm

   val postprocess_term: theory -> term -> term

   val add_attribute: string * (Args.T list -> attribute * Args.T list) -> theory -> theory

   val print_codesetup: theory -> unit

 end;

 signature CODE_DATA_ARGS =

 sig

   type T

   val empty: T

   val merge: Pretty.pp -> T * T -> T

   val purge: theory option -> string list option -> T -> T

 end;

 signature CODE_DATA =

 sig

   type T

   val get: theory -> T

   val change: theory -> (T -> T) -> T

   val change_yield: theory -> (T -> 'a * T) -> 'a * T

 end;

 signature PRIVATE_CODE =

 sig

   include CODE

   val declare_data: Object.T -> (Pretty.pp -> Object.T * Object.T -> Object.T)

     -> (theory option -> string list option -> Object.T -> Object.T) -> serial

   val get_data: serial * ('a -> Object.T) * (Object.T -> 'a)

     -> theory -> 'a

   val change_data: serial * ('a -> Object.T) * (Object.T -> 'a)

     -> theory -> ('a -> 'a) -> 'a

   val change_yield_data: serial * ('a -> Object.T) * (Object.T -> 'a)

     -> theory -> ('a -> 'b * 'a) -> 'b * 'a

 end;

 structure Code : PRIVATE_CODE =

 struct

 (** code attributes **)

 structure CodeAttr = TheoryDataFun (

   type T = (string * (Args.T list -> attribute * Args.T list)) list;

   val empty = [];

   val copy = I;

   val extend = I;

   fun merge _ = AList.merge (op =) (K true);

 );

 fun add_attribute (attr as (name, _)) =

   let

     fun add_parser ("", parser) attrs = attrs @ [("", parser)]

       | add_parser (name, parser) attrs = (name, Args.$$$ name |-- parser) :: attrs;

     fun error "" = error ("Code attribute already declared")

       | error name = error ("Code attribute " ^ name ^ " already declared")

   in CodeAttr.map (fn attrs => if AList.defined (op =) attrs name

     then error name else add_parser attr attrs)

   end;

 val _ =

   let

     val code_attr = Attrib.syntax (Scan.peek (fn context =>

       List.foldr op || Scan.fail (map snd (CodeAttr.get (Context.theory_of context)))));

   in

     Context.add_setup (Attrib.add_attributes

       [("code", code_attr, "declare theorems for code generation")])

   end;

 (** certificate theorems **)

 fun string_of_lthms r = case Susp.peek r

  of SOME thms => (map string_of_thm o rev) thms

   | NONE => ["[...]"];

 fun pretty_lthms ctxt r = case Susp.peek r

  of SOME thms => map (ProofContext.pretty_thm ctxt) thms

   | NONE => [Pretty.str "[...]"];

 fun certificate thy f r =

   case Susp.peek r

    of SOME thms => (Susp.value o f thy) thms

     | NONE => let

         val thy_ref = Theory.check_thy thy;

       in Susp.delay (fn () => (f (Theory.deref thy_ref) o Susp.force) r) end;

 (** logical and syntactical specification of executable code **)

 (* pairs of (selected, deleted) defining equations *)

 type sdthms = thm list Susp.T * thm list;

 fun add_drop_redundant thm (sels, dels) =

   let

     val thy = Thm.theory_of_thm thm;

     val args_of = snd o strip_comb o fst o Logic.dest_equals o Thm.plain_prop_of;

     val args = args_of thm;

     fun matches [] _ = true

       | matches (Var _ :: xs) [] = matches xs []

       | matches (_ :: _) [] = false

       | matches (x :: xs) (y :: ys) = Pattern.matches thy (x, y) andalso matches xs ys;

     fun drop thm' = not (matches args (args_of thm'))

       orelse (warning ("code generator: dropping redundant defining equation\n" ^ string_of_thm thm'); false);

     val (keeps, drops) = List.partition drop sels;

   in (thm :: keeps, dels |> remove Thm.eq_thm_prop thm |> fold (insert Thm.eq_thm_prop) drops) end;

 fun add_thm thm (sels, dels) =

   apfst Susp.value (add_drop_redundant thm (Susp.force sels, dels));

 fun add_lthms lthms (sels, []) =

       (Susp.delay (fn () => fold add_drop_redundant

         (Susp.force lthms) (Susp.force sels, []) |> fst), [])

         (*FIXME*)

   | add_lthms lthms (sels, dels) =

       fold add_thm (Susp.force lthms) (sels, dels);

 fun del_thm thm (sels, dels) =

   (Susp.value (remove Thm.eq_thm_prop thm (Susp.force sels)), thm :: dels);

 fun del_thms (sels, dels) =

   let

     val all_sels = Susp.force sels;

   in (Susp.value [], rev all_sels @ dels) end;

 fun pretty_sdthms ctxt (sels, _) = pretty_lthms ctxt sels;

 (* fundamental melting operations *)

 fun melt _ ([], []) = (false, [])

   | melt _ ([], ys) = (true, ys)

   | melt eq (xs, ys) = fold_rev

       (fn y => fn (t, xs) => (t orelse not (member eq xs y), insert eq y xs)) ys (false, xs);

 fun melt_alist eq_key eq (xys as (xs, ys)) =

   if eq_list (eq_pair eq_key eq) (xs, ys)

   then (false, xs)

   else (true, AList.merge eq_key eq xys);

 val melt_thms = melt Thm.eq_thm_prop;

 fun melt_lthms (r1, r2) =

   if Susp.same (r1, r2)

     then (false, r1)

   else case Susp.peek r1

    of SOME [] => (true, r2)

     | _ => case Susp.peek r2

        of SOME [] => (true, r1)

         | _ => (apsnd (Susp.delay o K)) (melt_thms (Susp.force r1, Susp.force r2));

 fun melt_sdthms ((sels1, dels1), (sels2, dels2)) =

   let

     val (dels_t, dels) = melt_thms (dels1, dels2);

   in if dels_t

     then let

       val (_, sels) = melt_thms

         (subtract Thm.eq_thm_prop dels2 (Susp.force sels1), Susp.force sels2);

       val (_, dels) = melt_thms

         (subtract Thm.eq_thm_prop (Susp.force sels2) dels1, dels2);

     in (true, ((Susp.delay o K) sels, dels)) end

     else let

       val (sels_t, sels) = melt_lthms (sels1, sels2);

     in (sels_t, (sels, dels)) end

   end;

 (* specification data *)

 fun melt_funcs tabs =

   let

     val tab' = Symtab.join (fn _ => fn ((_, a), (_, b)) => melt_sdthms (a, b)) tabs;

     val touched = Symtab.fold (fn (c, (true, _)) => insert (op =) c | _ => I) tab' [];

   in (touched, tab') end;

 val eq_string = op = : string * string -> bool;

 fun eq_dtyp ((vs1, cs1), (vs2, cs2)) = 

   gen_eq_set (eq_pair eq_string (gen_eq_set eq_string)) (vs1, vs2)

     andalso gen_eq_set (eq_fst eq_string) (cs1, cs2);

 fun melt_dtyps (tabs as (tab1, tab2)) =

   let

     val tycos1 = Symtab.keys tab1;

     val tycos2 = Symtab.keys tab2;

     val tycos' = filter (member eq_string tycos2) tycos1;

     val touched = not (gen_eq_set (op =) (tycos1, tycos2)

       andalso gen_eq_set (eq_pair (op =) eq_dtyp)

       (AList.make (the o Symtab.lookup tab1) tycos',

        AList.make (the o Symtab.lookup tab2) tycos'));

     fun join _ (cos as (_, cos2)) = if eq_dtyp cos

       then raise Symtab.SAME else cos2;

   in (touched, Symtab.join join tabs) end;

 fun melt_cases ((cases1, undefs1), (cases2, undefs2)) =

   let

     val touched1 = subtract (op =) (Symtab.keys cases1) (Symtab.keys cases2)

       @ subtract (op =) (Symtab.keys cases2) (Symtab.keys cases1);

     val touched2 = subtract (op =) (Symtab.keys undefs1) (Symtab.keys undefs2)

       @ subtract (op =) (Symtab.keys undefs2) (Symtab.keys undefs1);

     val touched = fold (insert (op =)) touched1 touched2;

   in

     (touched, (Symtab.merge (K true) (cases1, cases2),

       Symtab.merge (K true) (undefs1, undefs2)))

   end;

 datatype spec = Spec of {

   funcs: (bool * sdthms) Symtab.table,

   dtyps: ((string * sort) list * (string * typ list) list) Symtab.table,

   cases: (int * string list) Symtab.table * unit Symtab.table

 };

 fun mk_spec (funcs, (dtyps, cases)) =

   Spec { funcs = funcs, dtyps = dtyps, cases = cases };

 fun map_spec f (Spec { funcs = funcs, dtyps = dtyps, cases = cases }) =

   mk_spec (f (funcs, (dtyps, cases)));

 fun melt_spec (Spec { funcs = funcs1, dtyps = dtyps1, cases = cases1 },

   Spec { funcs = funcs2, dtyps = dtyps2, cases = cases2 }) =

   let

     val (touched_funcs, funcs) = melt_funcs (funcs1, funcs2);

     val (touched_dtyps, dtyps) = melt_dtyps (dtyps1, dtyps2);

     val (touched_cases, cases) = melt_cases (cases1, cases2);

     val touched = if touched_dtyps then NONE else

       SOME (fold (insert (op =)) touched_cases touched_funcs);

   in (touched, mk_spec (funcs, (dtyps, cases))) end;

 (* pre- and postprocessor *)

 datatype thmproc = Thmproc of {

   inlines: thm list,

   inline_procs: (string * (serial * (theory -> cterm list -> thm list))) list,

   preprocs: (string * (serial * (theory -> thm list -> thm list))) list,

   posts: thm list

 };

 fun mk_thmproc (((inlines, inline_procs), preprocs), posts) =

   Thmproc { inlines = inlines, inline_procs = inline_procs, preprocs = preprocs,

     posts = posts };

 fun map_thmproc f (Thmproc { inlines, inline_procs, preprocs, posts }) =

   mk_thmproc (f (((inlines, inline_procs), preprocs), posts));

 fun melt_thmproc (Thmproc { inlines = inlines1, inline_procs = inline_procs1,

     preprocs = preprocs1, posts = posts1 },

   Thmproc { inlines = inlines2, inline_procs = inline_procs2,

       preprocs = preprocs2, posts= posts2 }) =

     let

       val (touched1, inlines) = melt_thms (inlines1, inlines2);

       val (touched2, inline_procs) = melt_alist (op =) (eq_fst (op =)) (inline_procs1, inline_procs2);

       val (touched3, preprocs) = melt_alist (op =) (eq_fst (op =)) (preprocs1, preprocs2);

       val (_, posts) = melt_thms (posts1, posts2);

     in (touched1 orelse touched2 orelse touched3,

       mk_thmproc (((inlines, inline_procs), preprocs), posts)) end;

 datatype exec = Exec of {

   thmproc: thmproc,

   spec: spec

 };

 fun mk_exec (thmproc, spec) =

   Exec { thmproc = thmproc, spec = spec };

 fun map_exec f (Exec { thmproc = thmproc, spec = spec }) =

   mk_exec (f (thmproc, spec));

 fun melt_exec (Exec { thmproc = thmproc1, spec = spec1 },

   Exec { thmproc = thmproc2, spec = spec2 }) =

   let

     val (touched', thmproc) = melt_thmproc (thmproc1, thmproc2);

     val (touched_cs, spec) = melt_spec (spec1, spec2);

     val touched = if touched' then NONE else touched_cs;

   in (touched, mk_exec (thmproc, spec)) end;

 val empty_exec = mk_exec (mk_thmproc ((([], []), []), []),

   mk_spec (Symtab.empty, (Symtab.empty, (Symtab.empty, Symtab.empty))));

 fun the_thmproc (Exec { thmproc = Thmproc x, ...}) = x;

 fun the_spec (Exec { spec = Spec x, ...}) = x;

 val the_funcs = #funcs o the_spec;

 val the_dtyps = #dtyps o the_spec;

 val the_cases = #cases o the_spec;

 val map_thmproc = map_exec o apfst o map_thmproc;

 val map_funcs = map_exec o apsnd o map_spec o apfst;

 val map_dtyps = map_exec o apsnd o map_spec o apsnd o apfst;

 val map_cases = map_exec o apsnd o map_spec o apsnd o apsnd;

 (* data slots dependent on executable content *)

 (*private copy avoids potential conflict of table exceptions*)

 structure Datatab = TableFun(type key = int val ord = int_ord);

 local

 type kind = {

   empty: Object.T,

   merge: Pretty.pp -> Object.T * Object.T -> Object.T,

   purge: theory option -> string list option -> Object.T -> Object.T

 };

 val kinds = ref (Datatab.empty: kind Datatab.table);

 val kind_keys = ref ([]: serial list);

 fun invoke f k = case Datatab.lookup (! kinds) k

  of SOME kind => f kind

   | NONE => sys_error "Invalid code data identifier";

 in

 fun declare_data empty merge purge =

   let

     val k = serial ();

     val kind = {empty = empty, merge = merge, purge = purge};

     val _ = change kinds (Datatab.update (k, kind));

     val _ = change kind_keys (cons k);

   in k end;

 fun invoke_empty k = invoke (fn kind => #empty kind) k;

 fun invoke_merge_all pp = Datatab.join

   (invoke (fn kind => #merge kind pp));

 fun invoke_purge_all thy_opt cs =

   fold (fn k => Datatab.map_entry k

     (invoke (fn kind => #purge kind thy_opt cs) k)) (! kind_keys);

 end; (*local*)

 (** theory store **)

 local

 type data = Object.T Datatab.table;

 structure CodeData = TheoryDataFun

 (

   type T = exec * data ref;

   val empty = (empty_exec, ref Datatab.empty : data ref);

   fun copy (exec, data) = (exec, ref (! data));

   val extend = copy;

   fun merge pp ((exec1, data1), (exec2, data2)) =

     let

       val (touched, exec) = melt_exec (exec1, exec2);

       val data1' = invoke_purge_all NONE touched (! data1);

       val data2' = invoke_purge_all NONE touched (! data2);

       val data = invoke_merge_all pp (data1', data2');

     in (exec, ref data) end;

 );

 val _ = Context.add_setup CodeData.init;

 fun thy_data f thy = f ((snd o CodeData.get) thy);

 fun get_ensure_init kind data_ref =

   case Datatab.lookup (! data_ref) kind

    of SOME x => x

     | NONE => let val y = invoke_empty kind

         in (change data_ref (Datatab.update (kind, y)); y) end;

 in

 (* access to executable content *)

 val the_exec = fst o CodeData.get;

 fun map_exec_purge touched f thy =

   CodeData.map (fn (exec, data) => 

     (f exec, ref (invoke_purge_all (SOME thy) touched (! data)))) thy;

 (* access to data dependent on abstract executable content *)

 fun get_data (kind, _, dest) = thy_data (get_ensure_init kind #> dest);

 fun change_data (kind, mk, dest) =

   let

     fun chnge data_ref f =

       let

         val data = get_ensure_init kind data_ref;

         val data' = f (dest data);

       in (change data_ref (Datatab.update (kind, mk data')); data') end;

   in thy_data chnge end;

 fun change_yield_data (kind, mk, dest) =

   let

     fun chnge data_ref f =

       let

         val data = get_ensure_init kind data_ref;

         val (x, data') = f (dest data);

       in (x, (change data_ref (Datatab.update (kind, mk data')); data')) end;

   in thy_data chnge end;

 end; (*local*)

 (* print executable content *)

 fun print_codesetup thy =

   let

     val ctxt = ProofContext.init thy;

     val exec = the_exec thy;

     fun pretty_func (s, lthms) =

       (Pretty.block o Pretty.fbreaks) (

         Pretty.str s :: pretty_sdthms ctxt lthms

       );

     fun pretty_dtyp (s, []) =

           Pretty.str s

       | pretty_dtyp (s, cos) =

           (Pretty.block o Pretty.breaks) (

             Pretty.str s

             :: Pretty.str "="

             :: separate (Pretty.str "|") (map (fn (c, []) => Pretty.str c

                  | (c, tys) =>

                      (Pretty.block o Pretty.breaks)

                         (Pretty.str (CodeUnit.string_of_const thy c)

                           :: Pretty.str "of" :: map (Pretty.quote o Sign.pretty_typ thy) tys)) cos)

           );

     val inlines = (#inlines o the_thmproc) exec;

     val posts = (#posts o the_thmproc) exec;

     val inline_procs = (map fst o #inline_procs o the_thmproc) exec;

     val preprocs = (map fst o #preprocs o the_thmproc) exec;

     val funs = the_funcs exec

       |> Symtab.dest

       |> (map o apsnd) snd

       |> (map o apfst) (CodeUnit.string_of_const thy)

       |> sort (string_ord o pairself fst);

     val dtyps = the_dtyps exec

       |> Symtab.dest

       |> map (fn (dtco, (vs, cos)) => (Sign.string_of_typ thy (Type (dtco, map TFree vs)), cos))

       |> sort (string_ord o pairself fst)

   in

     (Pretty.writeln o Pretty.chunks) [

       Pretty.block (

         Pretty.str "defining equations:"

         :: Pretty.fbrk

         :: (Pretty.fbreaks o map pretty_func) funs

       ),

       Pretty.block (

         Pretty.str "inlining theorems:"

         :: Pretty.fbrk

         :: (Pretty.fbreaks o map (ProofContext.pretty_thm ctxt)) inlines

       ),

       Pretty.block (

         Pretty.str "inlining procedures:"

         :: Pretty.fbrk

         :: (Pretty.fbreaks o map Pretty.str) inline_procs

       ),

       Pretty.block (

         Pretty.str "preprocessors:"

         :: Pretty.fbrk

         :: (Pretty.fbreaks o map Pretty.str) preprocs

       ),

       Pretty.block (

         Pretty.str "postprocessor theorems:"

         :: Pretty.fbrk

         :: (Pretty.fbreaks o map (ProofContext.pretty_thm ctxt)) posts

       ),

       Pretty.block (

         Pretty.str "datatypes:"

         :: Pretty.fbrk

         :: (Pretty.fbreaks o map pretty_dtyp) dtyps

       )

     ]

   end;

 (** theorem transformation and certification **)

 fun common_typ_funcs [] = []

   | common_typ_funcs [thm] = [thm]

   | common_typ_funcs (thms as thm :: _) =

       let

         val thy = Thm.theory_of_thm thm;

         fun incr_thm thm max =

           let

             val thm' = incr_indexes max thm;

             val max' = Thm.maxidx_of thm' + 1;

           in (thm', max') end;

         val (thms', maxidx) = fold_map incr_thm thms 0;

         val ty1 :: tys = map (snd o CodeUnit.head_func) thms';

         fun unify ty env = Sign.typ_unify thy (ty1, ty) env

           handle Type.TUNIFY =>

             error ("Type unificaton failed, while unifying defining equations\n"

             ^ (cat_lines o map Display.string_of_thm) thms

             ^ "\nwith types\n"

             ^ (cat_lines o map (CodeUnit.string_of_typ thy)) (ty1 :: tys));

         val (env, _) = fold unify tys (Vartab.empty, maxidx)

         val instT = Vartab.fold (fn (x_i, (sort, ty)) =>

           cons (Thm.ctyp_of thy (TVar (x_i, sort)), Thm.ctyp_of thy ty)) env [];

       in map (Thm.instantiate (instT, [])) thms' end;

 fun const_of_func thy = AxClass.unoverload_const thy o CodeUnit.head_func;

 fun certify_const thy const thms =

   let

     fun cert thm = if const = const_of_func thy thm

       then thm else error ("Wrong head of defining equation,\nexpected constant "

         ^ CodeUnit.string_of_const thy const ^ "\n" ^ string_of_thm thm)

   in map cert thms end;

 (** operational sort algebra and class discipline **)

 local

 fun aggr_neutr f y [] = y

   | aggr_neutr f y (x::xs) = aggr_neutr f (f y x) xs;

 fun aggregate f [] = NONE

   | aggregate f (x::xs) = SOME (aggr_neutr f x xs);

 fun inter_sorts algebra =

   aggregate (map2 (curry (Sorts.inter_sort algebra)));

 fun specific_constraints thy (class, tyco) =

   let

     val vs = Name.invents Name.context "" (Sign.arity_number thy tyco);

     val classparams = (map fst o these o try (#params o AxClass.get_info thy)) class;

     val funcs = classparams

       |> map_filter (fn c => try (AxClass.param_of_inst thy) (c, tyco))

       |> map (Symtab.lookup ((the_funcs o the_exec) thy))

       |> (map o Option.map) (Susp.force o fst o snd)

       |> maps these

       |> map (Thm.transfer thy)

     fun sorts_of [Type (_, tys)] = map (snd o dest_TVar) tys

       | sorts_of tys = map (snd o dest_TVar) tys;

     val sorts = map (sorts_of o Sign.const_typargs thy o CodeUnit.head_func) funcs;

   in sorts end;

 fun weakest_constraints thy algebra (class, tyco) =

   let

     val all_superclasses = Sorts.complete_sort algebra [class];

   in case inter_sorts algebra (maps (fn class => specific_constraints thy (class, tyco)) all_superclasses)

    of SOME sorts => sorts

     | NONE => Sorts.mg_domain algebra tyco [class]

   end;

 fun strongest_constraints thy algebra (class, tyco) =

   let

     val all_subclasses = class :: Graph.all_preds ((#classes o Sorts.rep_algebra) algebra) [class];

     val inst_subclasses = filter (can (Sorts.mg_domain algebra tyco) o single) all_subclasses;

   in case inter_sorts algebra (maps (fn class => specific_constraints thy (class, tyco)) inst_subclasses)

    of SOME sorts => sorts

     | NONE => replicate

         (Sign.arity_number thy tyco) (Sorts.minimize_sort algebra (Sorts.all_classes algebra))

   end;

 fun get_algebra thy (class, tyco) =

   let

     val base_algebra = Sign.classes_of thy;

   in if can (Sorts.mg_domain base_algebra tyco) [class]

     then base_algebra

     else let

       val superclasses = Sorts.super_classes base_algebra class;

       val sorts = inter_sorts base_algebra

           (map_filter (fn class => try (Sorts.mg_domain base_algebra tyco) [class]) superclasses)

         |> the_default (replicate (Sign.arity_number thy tyco) [])

     in

       base_algebra

       |> Sorts.add_arities (Sign.pp thy) (tyco, [(class, sorts)])

     end

   end;

 fun gen_classparam_typ constr thy class (c, tyco) = 

   let

     val algebra = get_algebra thy (class, tyco);

     val cs = these (try (#params o AxClass.get_info thy) class);

     val SOME ty = AList.lookup (op =) cs c;

     val sort_args = Name.names (Name.declare Name.aT Name.context) Name.aT

       (constr thy algebra (class, tyco));

     val ty_inst = Type (tyco, map TFree sort_args);

   in Logic.varifyT (map_type_tfree (K ty_inst) ty) end;

 fun retrieve_algebra thy operational =

   Sorts.subalgebra (Sign.pp thy) operational

     (weakest_constraints thy (Sign.classes_of thy))

     (Sign.classes_of thy);

 in

 fun coregular_algebra thy = retrieve_algebra thy (K true) |> snd;

 fun operational_algebra thy =

   let

     fun add_iff_operational class =

       can (AxClass.get_info thy) class ? cons class;

     val operational_classes = fold add_iff_operational (Sign.all_classes thy) []

   in retrieve_algebra thy (member (op =) operational_classes) end;

 val classparam_weakest_typ = gen_classparam_typ weakest_constraints;

 val classparam_strongest_typ = gen_classparam_typ strongest_constraints;

 fun assert_func_typ thm =

   let

     val thy = Thm.theory_of_thm thm;

     fun check_typ_classparam tyco (c, thm) =

           let

             val SOME class = AxClass.class_of_param thy c;

             val (_, ty) = CodeUnit.head_func thm;

             val ty_decl = classparam_weakest_typ thy class (c, tyco);

             val ty_strongest = classparam_strongest_typ thy class (c, tyco);

             fun constrain thm = 

               let

                 val max = Thm.maxidx_of thm + 1;

                 val ty_decl' = Logic.incr_tvar max ty_decl;

                 val (_, ty') = CodeUnit.head_func thm;

                 val (env, _) = Sign.typ_unify thy (ty_decl', ty') (Vartab.empty, max);

                 val instT = Vartab.fold (fn (x_i, (sort, ty)) =>

                   cons (Thm.ctyp_of thy (TVar (x_i, sort)), Thm.ctyp_of thy ty)) env [];

               in Thm.instantiate (instT, []) thm end;

           in if Sign.typ_instance thy (ty_strongest, ty)

             then if Sign.typ_instance thy (ty, ty_decl)

             then thm

             else (warning ("Constraining type\n" ^ CodeUnit.string_of_typ thy ty

               ^ "\nof defining equation\n"

               ^ string_of_thm thm

               ^ "\nto permitted most general type\n"

               ^ CodeUnit.string_of_typ thy ty_decl);

               constrain thm)

             else CodeUnit.bad_thm ("Type\n" ^ CodeUnit.string_of_typ thy ty

               ^ "\nof defining equation\n"

               ^ string_of_thm thm

               ^ "\nis incompatible with permitted least general type\n"

               ^ CodeUnit.string_of_typ thy ty_strongest)

           end;

     fun check_typ_fun (c, thm) =

       let

         val (_, ty) = CodeUnit.head_func thm;

         val ty_decl = Sign.the_const_type thy c;

       in if Sign.typ_equiv thy (Type.strip_sorts ty_decl, Type.strip_sorts ty)

         then thm

         else CodeUnit.bad_thm ("Type\n" ^ CodeUnit.string_of_typ thy ty

            ^ "\nof defining equation\n"

            ^ string_of_thm thm

            ^ "\nis incompatible with declared function type\n"

            ^ CodeUnit.string_of_typ thy ty_decl)

       end;

     fun check_typ (c, thm) =

       case AxClass.inst_of_param thy c

        of SOME (c, tyco) => check_typ_classparam tyco (c, thm)

         | NONE => check_typ_fun (c, thm);

   in check_typ (const_of_func thy thm, thm) end;

 val mk_func = CodeUnit.error_thm (assert_func_typ o CodeUnit.mk_func);

 val mk_liberal_func = CodeUnit.warning_thm (assert_func_typ o CodeUnit.mk_func);

 val mk_default_func = CodeUnit.try_thm (assert_func_typ o CodeUnit.mk_func);

 end;

 (** interfaces and attributes **)

 fun delete_force msg key xs =

   if AList.defined (op =) xs key then AList.delete (op =) key xs

   else error ("No such " ^ msg ^ ": " ^ quote key);

 fun get_datatype thy tyco =

   case Symtab.lookup ((the_dtyps o the_exec) thy) tyco

    of SOME spec => spec

     | NONE => Sign.arity_number thy tyco

         |> Name.invents Name.context Name.aT

         |> map (rpair [])

         |> rpair [];

 fun get_datatype_of_constr thy c =

   case (snd o strip_type o Sign.the_const_type thy) c

    of Type (tyco, _) => if member (op =)

        ((the_default [] o Option.map (map fst o snd) o Symtab.lookup ((the_dtyps o the_exec) thy)) tyco) c

        then SOME tyco else NONE

     | _ => NONE;

 fun get_constr_typ thy c =

   case get_datatype_of_constr thy c

    of SOME tyco => let

           val (vs, cos) = get_datatype thy tyco;

           val SOME tys = AList.lookup (op =) cos c;

           val ty = tys ---> Type (tyco, map TFree vs);

         in SOME (Logic.varifyT ty) end

     | NONE => NONE;

 val get_case_data = Symtab.lookup o fst o the_cases o the_exec;

 val is_undefined = Symtab.defined o snd o the_cases o the_exec;

 fun add_func thm thy =

   let

     val func = mk_func thm;

     val c = const_of_func thy func;

     val _ = if (is_some o AxClass.class_of_param thy) c

       then error ("Rejected polymorphic equation for overloaded constant:\n"

         ^ string_of_thm thm)

       else ();

     val _ = if (is_some o get_datatype_of_constr thy) c

       then error ("Rejected equation for datatype constructor:\n"

         ^ string_of_thm func)

       else ();

   in

     (map_exec_purge (SOME [c]) o map_funcs) (Symtab.map_default

       (c, (false, (Susp.value [], []))) (apsnd (add_thm func))) thy

   end;

 fun add_liberal_func thm thy =

   case mk_liberal_func thm

    of SOME func => let

           val c = const_of_func thy func

         in if (is_some o AxClass.class_of_param thy) c

           orelse (is_some o get_datatype_of_constr thy) c

           then thy

           else map_exec_purge (SOME [c]) (map_funcs

             (Symtab.map_default

               (c, (false, (Susp.value [], []))) (apsnd (add_thm func)))) thy

         end

     | NONE => thy;

 fun add_default_func thm thy =

   case mk_default_func thm

    of SOME func => let

           val c = const_of_func thy func

         in if (is_some o AxClass.class_of_param thy) c

           orelse (is_some o get_datatype_of_constr thy) c

           then thy

           else map_exec_purge (SOME [c]) (map_funcs

           (Symtab.map_default

             (c, (false, (Susp.value [], []))) (apsnd (add_thm func)))) thy

         end

     | NONE => thy;

 fun del_func thm thy =

   case mk_liberal_func thm

    of SOME func => let

           val c = const_of_func thy func;

         in map_exec_purge (SOME [c]) (map_funcs

           (Symtab.map_entry c (apsnd (del_thm func)))) thy

         end

     | NONE => thy;

 fun del_funcs const = map_exec_purge (SOME [const])

   (map_funcs (Symtab.map_entry const (apsnd del_thms)));

 fun add_funcl (const, lthms) thy =

   let

     val lthms' = certificate thy (fn thy => certify_const thy const) lthms;

       (*FIXME must check compatibility with sort algebra;

         alas, naive checking results in non-termination!*)

   in

     map_exec_purge (SOME [const])

       (map_funcs (Symtab.map_default (const, (false, (Susp.value [], [])))

       (apsnd (add_lthms lthms')))) thy

   end;

 val add_default_func_attr = Attrib.internal (fn _ => Thm.declaration_attribute

   (fn thm => Context.mapping (add_default_func thm) I));

 structure TypeInterpretation = InterpretationFun(type T = string * serial val eq = eq_snd (op =) : T * T -> bool);

 fun add_datatype raw_cs thy =

   let

     val cs = map (fn c_ty as (_, ty) => (AxClass.unoverload_const thy c_ty, ty)) raw_cs;

     val (tyco, vs_cos) = CodeUnit.constrset_of_consts thy cs;

     val cs' = map fst (snd vs_cos);

     val purge_cs = case Symtab.lookup ((the_dtyps o the_exec) thy) tyco

      of SOME (vs, cos) => if null cos then NONE else SOME (cs' @ map fst cos)

       | NONE => NONE;

   in

     thy

     |> map_exec_purge purge_cs (map_dtyps (Symtab.update (tyco, vs_cos))

         #> map_funcs (fold (Symtab.delete_safe o fst) cs))

     |> TypeInterpretation.data (tyco, serial ())

   end;

 fun type_interpretation f =  TypeInterpretation.interpretation

   (fn (tyco, _) => fn thy => f (tyco, get_datatype thy tyco) thy);

 fun add_datatype_cmd raw_cs thy =

   let

     val cs = map (CodeUnit.read_bare_const thy) raw_cs;

   in add_datatype cs thy end;

 fun add_case thm thy =

   let

     val entry as (c, _) = CodeUnit.case_cert thm;

   in

     (map_exec_purge (SOME [c]) o map_cases o apfst) (Symtab.update entry) thy

   end;

 fun add_undefined c thy =

   (map_exec_purge (SOME [c]) o map_cases o apsnd) (Symtab.update (c, ())) thy;

 fun add_inline thm thy =

   (map_exec_purge NONE o map_thmproc o apfst o apfst o apfst)

     (insert Thm.eq_thm_prop (CodeUnit.error_thm CodeUnit.mk_rew thm)) thy;

         (*fully applied in order to get right context for mk_rew!*)

 fun del_inline thm thy =

   (map_exec_purge NONE o map_thmproc o apfst o apfst o apfst)

     (remove Thm.eq_thm_prop (CodeUnit.error_thm CodeUnit.mk_rew thm)) thy;

         (*fully applied in order to get right context for mk_rew!*)

 fun add_inline_proc (name, f) =

   (map_exec_purge NONE o map_thmproc o apfst o apfst o apsnd)

     (AList.update (op =) (name, (serial (), f)));

 fun del_inline_proc name =

   (map_exec_purge NONE o map_thmproc o apfst o apfst o apsnd)

     (delete_force "inline procedure" name);

 fun add_preproc (name, f) =

   (map_exec_purge NONE o map_thmproc o apfst o apsnd)

     (AList.update (op =) (name, (serial (), f)));

 fun del_preproc name =

   (map_exec_purge NONE o map_thmproc o apfst o apsnd)

     (delete_force "preprocessor" name);

 fun add_post thm thy =

   (map_exec_purge NONE o map_thmproc o apsnd)

     (insert Thm.eq_thm_prop (CodeUnit.error_thm CodeUnit.mk_rew thm)) thy;

         (*fully applied in order to get right context for mk_rew!*)

 fun del_post thm thy =

   (map_exec_purge NONE o map_thmproc o apsnd)

     (remove Thm.eq_thm_prop (CodeUnit.error_thm CodeUnit.mk_rew thm)) thy;

         (*fully applied in order to get right context for mk_rew!*)

 val _ = Context.add_setup

   (let

     fun mk_attribute f = Thm.declaration_attribute (fn thm => Context.mapping (f thm) I);

     fun add_simple_attribute (name, f) =

       add_attribute (name, Scan.succeed (mk_attribute f));

     fun add_del_attribute (name, (add, del)) =

       add_attribute (name, Args.del |-- Scan.succeed (mk_attribute del)

         || Scan.succeed (mk_attribute add))

   in

     TypeInterpretation.init

     #> add_del_attribute ("func", (add_func, del_func))

     #> add_del_attribute ("inline", (add_inline, del_inline))

     #> add_del_attribute ("post", (add_post, del_post))

   end);

 (** post- and preprocessing **)

 local

 fun gen_apply_inline_proc prep post thy f x =

   let

     val cts = prep x;

     val rews = map CodeUnit.assert_rew (f thy cts);

   in post rews x end;

 val apply_inline_proc = gen_apply_inline_proc (maps

   ((fn [args, rhs] => rhs :: (snd o Drule.strip_comb) args) o snd o Drule.strip_comb o Thm.cprop_of))

   (fn rews => map (CodeUnit.rewrite_func rews));

 val apply_inline_proc_cterm = gen_apply_inline_proc single

   (MetaSimplifier.rewrite false);

 fun apply_preproc thy f [] = []

   | apply_preproc thy f (thms as (thm :: _)) =

       let

         val const = const_of_func thy thm;

         val thms' = f thy thms;

       in certify_const thy const thms' end;

 fun rhs_conv conv thm =

   let

     val thm' = (conv o Thm.rhs_of) thm;

   in Thm.transitive thm thm' end

 fun term_of_conv thy f =

   Thm.cterm_of thy

   #> f

   #> Thm.prop_of

   #> Logic.dest_equals

   #> snd;

 in

 fun preprocess thy thms =

   thms

   |> fold (fn (_, (_, f)) => apply_preproc thy f) ((#preprocs o the_thmproc o the_exec) thy)

   |> map (CodeUnit.rewrite_func ((#inlines o the_thmproc o the_exec) thy))

   |> fold (fn (_, (_, f)) => apply_inline_proc thy f) ((#inline_procs o the_thmproc o the_exec) thy)

 (*FIXME - must check: rewrite rule, defining equation, proper constant |> map (snd o check_func false thy) *)

   |> common_typ_funcs

   |> map (AxClass.unoverload thy);

 fun preprocess_conv ct =

   let

     val thy = Thm.theory_of_cterm ct;

   in

     ct

     |> MetaSimplifier.rewrite false ((#inlines o the_thmproc o the_exec) thy)

     |> fold (fn (_, (_, f)) => rhs_conv (apply_inline_proc_cterm thy f))

         ((#inline_procs o the_thmproc o the_exec) thy)

     |> rhs_conv (AxClass.unoverload_conv thy)

   end;

 fun preprocess_term thy = term_of_conv thy preprocess_conv;

 fun postprocess_conv ct =

   let

     val thy = Thm.theory_of_cterm ct;

   in

     ct

     |> AxClass.overload_conv thy

     |> rhs_conv (MetaSimplifier.rewrite false ((#posts o the_thmproc o the_exec) thy))

   end;

 fun postprocess_term thy = term_of_conv thy postprocess_conv;

 end; (*local*)

 fun default_typ_proto thy c = case AxClass.inst_of_param thy c

  of SOME (c, tyco) => classparam_weakest_typ thy ((the o AxClass.class_of_param thy) c)

       (c, tyco) |> SOME

   | NONE => (case AxClass.class_of_param thy c

      of SOME class => SOME (Term.map_type_tvar

           (K (TVar ((Name.aT, 0), [class]))) (Sign.the_const_type thy c))

       | NONE => get_constr_typ thy c);

 local

 fun get_funcs thy const =

   Symtab.lookup ((the_funcs o the_exec) thy) const

   |> Option.map (Susp.force o fst o snd)

   |> these

   |> map (Thm.transfer thy);

 in

 fun these_funcs thy const =

   let

     fun drop_refl thy = filter_out (is_equal o Term.fast_term_ord o Logic.dest_equals

       o ObjectLogic.drop_judgment thy o Thm.plain_prop_of);

   in

     get_funcs thy const

     |> preprocess thy

     |> drop_refl thy

   end;

 fun default_typ thy c = case default_typ_proto thy c

  of SOME ty => ty

   | NONE => (case get_funcs thy c

      of thm :: _ => snd (CodeUnit.head_func (AxClass.unoverload thy thm))

       | [] => Sign.the_const_type thy c);

 end; (*local*)

 end; (*struct*)

 (** type-safe interfaces for data depedent on executable content **)

 functor CodeDataFun(Data: CODE_DATA_ARGS): CODE_DATA =

 struct

 type T = Data.T;

 exception Data of T;

 fun dest (Data x) = x

 val kind = Code.declare_data (Data Data.empty)

   (fn pp => fn (Data x1, Data x2) => Data (Data.merge pp (x1, x2)))

   (fn thy_opt => fn cs => fn Data x => Data (Data.purge thy_opt cs x));

 val data_op = (kind, Data, dest);

 val get = Code.get_data data_op;

 val change = Code.change_data data_op;

 fun change_yield thy = Code.change_yield_data data_op thy;

 end;

 structure Code : CODE =

 struct

 open Code;

 end;