(*  Title:      Pure/context.ML

     Author:     Markus Wenzel, TU Muenchen

 Generic theory contexts with unique identity, arbitrarily typed data,

 monotonic development graph and history support.  Generic proof

 contexts with arbitrarily typed data.

 Firm naming conventions:

    thy, thy', thy1, thy2: theory

    ctxt, ctxt', ctxt1, ctxt2: Proof.context

    context: Context.generic

 *)

 signature BASIC_CONTEXT =

 sig

   type theory

   type theory_ref

   exception THEORY of string * theory list

   structure Proof: sig type context end

   structure Proof_Context:

   sig

     val theory_of: Proof.context -> theory

     val init_global: theory -> Proof.context

   end

 end;

 signature CONTEXT =

 sig

   include BASIC_CONTEXT

   (*theory context*)

   val timing: bool Unsynchronized.ref

   type pretty

   val parents_of: theory -> theory list

   val ancestors_of: theory -> theory list

   val theory_name: theory -> string

   val is_stale: theory -> bool

   val is_draft: theory -> bool

   val reject_draft: theory -> theory

   val PureN: string

   val display_names: theory -> string list

   val pretty_thy: theory -> Pretty.T

   val string_of_thy: theory -> string

   val pretty_abbrev_thy: theory -> Pretty.T

   val str_of_thy: theory -> string

   val get_theory: theory -> string -> theory

   val this_theory: theory -> string -> theory

   val deref: theory_ref -> theory

   val check_thy: theory -> theory_ref

   val eq_thy: theory * theory -> bool

   val subthy: theory * theory -> bool

   val joinable: theory * theory -> bool

   val merge: theory * theory -> theory

   val merge_refs: theory_ref * theory_ref -> theory_ref

   val copy_thy: theory -> theory

   val checkpoint_thy: theory -> theory

   val finish_thy: theory -> theory

   val begin_thy: (theory -> pretty) -> string -> theory list -> theory

   (*proof context*)

   val raw_transfer: theory -> Proof.context -> Proof.context

   (*generic context*)

   datatype generic = Theory of theory | Proof of Proof.context

   val cases: (theory -> 'a) -> (Proof.context -> 'a) -> generic -> 'a

   val mapping: (theory -> theory) -> (Proof.context -> Proof.context) -> generic -> generic

   val mapping_result: (theory -> 'a * theory) -> (Proof.context -> 'a * Proof.context) ->

     generic -> 'a * generic

   val the_theory: generic -> theory

   val the_proof: generic -> Proof.context

   val map_theory: (theory -> theory) -> generic -> generic

   val map_proof: (Proof.context -> Proof.context) -> generic -> generic

   val map_theory_result: (theory -> 'a * theory) -> generic -> 'a * generic

   val map_proof_result: (Proof.context -> 'a * Proof.context) -> generic -> 'a * generic

   val theory_map: (generic -> generic) -> theory -> theory

   val proof_map: (generic -> generic) -> Proof.context -> Proof.context

   val theory_of: generic -> theory  (*total*)

   val proof_of: generic -> Proof.context  (*total*)

   (*pretty printing context*)

   val pretty: Proof.context -> pretty

   val pretty_global: theory -> pretty

   val pretty_context: (theory -> Proof.context) -> pretty -> Proof.context

   (*thread data*)

   val thread_data: unit -> generic option

   val the_thread_data: unit -> generic

   val set_thread_data: generic option -> unit

   val setmp_thread_data: generic option -> ('a -> 'b) -> 'a -> 'b

   val >> : (generic -> generic) -> unit

   val >>> : (generic -> 'a * generic) -> 'a

 end;

 signature PRIVATE_CONTEXT =

 sig

   include CONTEXT

   structure Theory_Data:

   sig

     val declare: Position.T -> Object.T -> (Object.T -> Object.T) ->

       (pretty -> Object.T * Object.T -> Object.T) -> serial

     val get: serial -> (Object.T -> 'a) -> theory -> 'a

     val put: serial -> ('a -> Object.T) -> 'a -> theory -> theory

   end

   structure Proof_Data:

   sig

     val declare: (theory -> Object.T) -> serial

     val get: serial -> (Object.T -> 'a) -> Proof.context -> 'a

     val put: serial -> ('a -> Object.T) -> 'a -> Proof.context -> Proof.context

   end

 end;

 structure Context: PRIVATE_CONTEXT =

 struct

 (*** theory context ***)

 (** theory data **)

 (* data kinds and access methods *)

 val timing = Unsynchronized.ref false;

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

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

 datatype pretty = Pretty of Object.T;

 local

 type kind =

  {pos: Position.T,

   empty: Object.T,

   extend: Object.T -> Object.T,

   merge: pretty -> Object.T * Object.T -> Object.T};

 val kinds = Synchronized.var "Theory_Data" (Datatab.empty: kind Datatab.table);

 fun invoke name f k x =

   (case Datatab.lookup (Synchronized.value kinds) k of

     SOME kind =>

       if ! timing andalso name <> "" then

         Timing.cond_timeit true ("Theory_Data." ^ name ^ Position.str_of (#pos kind))

           (fn () => f kind x)

       else f kind x

   | NONE => raise Fail "Invalid theory data identifier");

 in

 fun invoke_empty k = invoke "" (K o #empty) k ();

 val invoke_extend = invoke "extend" #extend;

 fun invoke_merge pp = invoke "merge" (fn kind => #merge kind pp);

 fun declare_theory_data pos empty extend merge =

   let

     val k = serial ();

     val kind = {pos = pos, empty = empty, extend = extend, merge = merge};

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

   in k end;

 val extend_data = Datatab.map invoke_extend;

 fun merge_data pp = Datatab.join (invoke_merge pp) o pairself extend_data;

 end;

 (** datatype theory **)

 datatype theory =

   Theory of

    (*identity*)

    {self: theory Unsynchronized.ref option,  (*dynamic self reference -- follows theory changes*)

     draft: bool,                  (*draft mode -- linear destructive changes*)

     id: serial,                   (*identifier*)

     ids: unit Inttab.table} *     (*cumulative identifiers of non-drafts -- symbolic body content*)

    (*data*)

    Object.T Datatab.table *       (*body content*)

    (*ancestry*)

    {parents: theory list,         (*immediate predecessors*)

     ancestors: theory list} *     (*all predecessors -- canonical reverse order*)

    (*history*)

    {name: string,                 (*official theory name*)

     stage: int};                  (*checkpoint counter*)

 exception THEORY of string * theory list;

 fun rep_theory (Theory args) = args;

 val identity_of = #1 o rep_theory;

 val data_of = #2 o rep_theory;

 val ancestry_of = #3 o rep_theory;

 val history_of = #4 o rep_theory;

 fun make_identity self draft id ids = {self = self, draft = draft, id = id, ids = ids};

 fun make_ancestry parents ancestors = {parents = parents, ancestors = ancestors};

 fun make_history name stage = {name = name, stage = stage};

 val the_self = the o #self o identity_of;

 val parents_of = #parents o ancestry_of;

 val ancestors_of = #ancestors o ancestry_of;

 val theory_name = #name o history_of;

 (* staleness *)

 fun eq_id (i: int, j) = i = j;

 fun is_stale

     (Theory ({self =

         SOME (Unsynchronized.ref (Theory ({id = id', ...}, _, _, _))), id, ...}, _, _, _)) =

       not (eq_id (id, id'))

   | is_stale (Theory ({self = NONE, ...}, _, _, _)) = true;

 fun vitalize (thy as Theory ({self = SOME r, ...}, _, _, _)) = (r := thy; thy)

   | vitalize (thy as Theory ({self = NONE, draft, id, ids}, data, ancestry, history)) =

       let

         val r = Unsynchronized.ref thy;

         val thy' = Theory (make_identity (SOME r) draft id ids, data, ancestry, history);

       in r := thy'; thy' end;

 (* draft mode *)

 val is_draft = #draft o identity_of;

 fun reject_draft thy =

   if is_draft thy then

     raise THEORY ("Illegal draft theory -- stable checkpoint required", [thy])

   else thy;

 (* names *)

 val PureN = "Pure";

 val draftN = "#";

 val finished = ~1;

 fun display_names thy =

   let

     val draft = if is_draft thy then [draftN] else [];

     val {stage, ...} = history_of thy;

     val name =

       if stage = finished then theory_name thy

       else theory_name thy ^ ":" ^ string_of_int stage;

     val ancestor_names = map theory_name (ancestors_of thy);

     val stale = if is_stale thy then ["!"] else [];

   in rev (stale @ draft @ [name] @ ancestor_names) end;

 val pretty_thy = Pretty.str_list "{" "}" o display_names;

 val string_of_thy = Pretty.string_of o pretty_thy;

 fun pretty_abbrev_thy thy =

   let

     val names = display_names thy;

     val n = length names;

     val abbrev = if n > 5 then "..." :: List.drop (names, n - 5) else names;

   in Pretty.str_list "{" "}" abbrev end;

 val str_of_thy = Pretty.str_of o pretty_abbrev_thy;

 fun get_theory thy name =

   if theory_name thy <> name then

     (case find_first (fn thy' => theory_name thy' = name) (ancestors_of thy) of

       SOME thy' => thy'

     | NONE => error ("Unknown ancestor theory " ^ quote name))

   else if #stage (history_of thy) = finished then thy

   else error ("Unfinished theory " ^ quote name);

 fun this_theory thy name =

   if theory_name thy = name then thy

   else get_theory thy name;

 (* theory references *)

 (*theory_ref provides a safe way to store dynamic references to a

   theory in external data structures -- a plain theory value would

   become stale as the self reference moves on*)

 datatype theory_ref = Theory_Ref of theory Unsynchronized.ref;

 fun deref (Theory_Ref (Unsynchronized.ref thy)) = thy;

 fun check_thy thy =  (*thread-safe version*)

   let val thy_ref = Theory_Ref (the_self thy) in

     if is_stale thy then error ("Stale theory encountered:\n" ^ string_of_thy thy)

     else thy_ref

   end;

 (* build ids *)

 fun insert_id draft id ids =

   if draft then ids

   else Inttab.update (id, ()) ids;

 fun merge_ids

     (Theory ({draft = draft1, id = id1, ids = ids1, ...}, _, _, _))

     (Theory ({draft = draft2, id = id2, ids = ids2, ...}, _, _, _)) =

   Inttab.merge (K true) (ids1, ids2)

   |> insert_id draft1 id1

   |> insert_id draft2 id2;

 (* equality and inclusion *)

 val eq_thy = eq_id o pairself (#id o identity_of);

 fun proper_subthy (Theory ({id, ...}, _, _, _), Theory ({ids, ...}, _, _, _)) =

   Inttab.defined ids id;

 fun subthy thys = eq_thy thys orelse proper_subthy thys;

 fun joinable (thy1, thy2) = subthy (thy1, thy2) orelse subthy (thy2, thy1);

 (* consistent ancestors *)

 fun extend_ancestors thy thys =

   if member eq_thy thys thy then

     raise THEORY ("Duplicate theory node", thy :: thys)

   else thy :: thys;

 fun extend_ancestors_of thy = extend_ancestors thy (ancestors_of thy);

 val merge_ancestors = merge (fn (thy1, thy2) =>

   eq_thy (thy1, thy2) orelse

     theory_name thy1 = theory_name thy2 andalso

       raise THEORY ("Inconsistent theory versions", [thy1, thy2]));

 (* trivial merge *)

 fun merge (thy1, thy2) =

   if eq_thy (thy1, thy2) then thy1

   else if proper_subthy (thy2, thy1) then thy1

   else if proper_subthy (thy1, thy2) then thy2

   else error (cat_lines ["Attempt to perform non-trivial merge of theories:",

     str_of_thy thy1, str_of_thy thy2]);

 fun merge_refs (ref1, ref2) =

   if ref1 = ref2 then ref1

   else check_thy (merge (deref ref1, deref ref2));

 (** build theories **)

 (* primitives *)

 local

   val lock = Mutex.mutex ();

 in

   fun SYNCHRONIZED e = Simple_Thread.synchronized "theory" lock e;

 end;

 fun create_thy self draft ids data ancestry history =

   let val identity = make_identity self draft (serial ()) ids;

   in vitalize (Theory (identity, data, ancestry, history)) end;

 fun change_thy draft' f thy =

   let

     val Theory ({self, draft, id, ids}, data, ancestry, history) = thy;

     val (self', data', ancestry') =

       if draft then (self, data, ancestry)    (*destructive change!*)

       else if #stage history > 0

       then (NONE, data, ancestry)

       else (NONE, extend_data data, make_ancestry [thy] (extend_ancestors_of thy));

     val ids' = insert_id draft id ids;

     val data'' = f data';

     val thy' = SYNCHRONIZED (fn () =>

       (check_thy thy; create_thy self' draft' ids' data'' ancestry' history));

   in thy' end;

 val name_thy = change_thy false I;

 val extend_thy = change_thy true I;

 val modify_thy = change_thy true;

 fun copy_thy thy =

   let

     val Theory ({draft, id, ids, ...}, data, ancestry, history) = thy;

     val ids' = insert_id draft id ids;

     val thy' = SYNCHRONIZED (fn () =>

       (check_thy thy; create_thy NONE true ids' data ancestry history));

   in thy' end;

 val pre_pure_thy = create_thy NONE true Inttab.empty

   Datatab.empty (make_ancestry [] []) (make_history PureN 0);

 (* named theory nodes *)

 fun merge_thys pp (thy1, thy2) =

   let

     val ids = merge_ids thy1 thy2;

     val data = merge_data (pp thy1) (data_of thy1, data_of thy2);

     val ancestry = make_ancestry [] [];

     val history = make_history "" 0;

     val thy' = SYNCHRONIZED (fn () =>

      (check_thy thy1; check_thy thy2; create_thy NONE true ids data ancestry history));

   in thy' end;

 fun maximal_thys thys =

   thys |> filter_out (fn thy => exists (fn thy' => proper_subthy (thy, thy')) thys);

 fun begin_thy pp name imports =

   if name = "" orelse name = draftN then error ("Bad theory name: " ^ quote name)

   else

     let

       val parents = maximal_thys (distinct eq_thy imports);

       val ancestors =

         Library.foldl merge_ancestors ([], map ancestors_of parents)

         |> fold extend_ancestors parents;

       val Theory ({ids, ...}, data, _, _) =

         (case parents of

           [] => error "No parent theories"

         | [thy] => extend_thy thy

         | thy :: thys => Library.foldl (merge_thys pp) (thy, thys));

       val ancestry = make_ancestry parents ancestors;

       val history = make_history name 0;

       val thy' = SYNCHRONIZED (fn () =>

         (map check_thy imports; create_thy NONE true ids data ancestry history));

     in thy' end;

 (* history stages *)

 fun history_stage f thy =

   let

     val {name, stage} = history_of thy;

     val _ = stage = finished andalso raise THEORY ("Theory already finished", [thy]);

     val history' = make_history name (f stage);

     val thy' as Theory (identity', data', ancestry', _) = name_thy thy;

     val thy'' = SYNCHRONIZED (fn () =>

       (check_thy thy'; vitalize (Theory (identity', data', ancestry', history'))));

   in thy'' end;

 fun checkpoint_thy thy =

   if is_draft thy then history_stage (fn stage => stage + 1) thy

   else thy;

 val finish_thy = history_stage (fn _ => finished);

 (* theory data *)

 structure Theory_Data =

 struct

 val declare = declare_theory_data;

 fun get k dest thy =

   (case Datatab.lookup (data_of thy) k of

     SOME x => x

   | NONE => invoke_empty k) |> dest;

 fun put k mk x = modify_thy (Datatab.update (k, mk x));

 end;

 (*** proof context ***)

 (* datatype Proof.context *)

 structure Proof =

 struct

   datatype context = Context of Object.T Datatab.table * theory_ref;

 end;

 fun theory_of_proof (Proof.Context (_, thy_ref)) = deref thy_ref;

 fun data_of_proof (Proof.Context (data, _)) = data;

 fun map_prf f (Proof.Context (data, thy_ref)) = Proof.Context (f data, thy_ref);

 (* proof data kinds *)

 local

 val kinds = Synchronized.var "Proof_Data" (Datatab.empty: (theory -> Object.T) Datatab.table);

 fun invoke_init k =

   (case Datatab.lookup (Synchronized.value kinds) k of

     SOME init => init

   | NONE => raise Fail "Invalid proof data identifier");

 fun init_data thy =

   Datatab.map (fn k => fn _ => invoke_init k thy) (Synchronized.value kinds);

 fun init_new_data data thy =

   Datatab.merge (K true) (data, init_data thy);

 in

 fun raw_transfer thy' (Proof.Context (data, thy_ref)) =

   let

     val thy = deref thy_ref;

     val _ = subthy (thy, thy') orelse error "transfer proof context: not a super theory";

     val _ = check_thy thy;

     val data' = init_new_data data thy';

     val thy_ref' = check_thy thy';

   in Proof.Context (data', thy_ref') end;

 structure Proof_Context =

 struct

   val theory_of = theory_of_proof;

   fun init_global thy = Proof.Context (init_data thy, check_thy thy);

 end;

 structure Proof_Data =

 struct

 fun declare init =

   let

     val k = serial ();

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

   in k end;

 fun get k dest prf =

   dest (case Datatab.lookup (data_of_proof prf) k of

     SOME x => x

   | NONE => invoke_init k (Proof_Context.theory_of prf));   (*adhoc value*)

 fun put k mk x = map_prf (Datatab.update (k, mk x));

 end;

 end;

 (*** generic context ***)

 datatype generic = Theory of theory | Proof of Proof.context;

 fun cases f _ (Theory thy) = f thy

   | cases _ g (Proof prf) = g prf;

 fun mapping f g = cases (Theory o f) (Proof o g);

 fun mapping_result f g = cases (apsnd Theory o f) (apsnd Proof o g);

 val the_theory = cases I (fn _ => error "Ill-typed context: theory expected");

 val the_proof = cases (fn _ => error "Ill-typed context: proof expected") I;

 fun map_theory f = Theory o f o the_theory;

 fun map_proof f = Proof o f o the_proof;

 fun map_theory_result f = apsnd Theory o f o the_theory;

 fun map_proof_result f = apsnd Proof o f o the_proof;

 fun theory_map f = the_theory o f o Theory;

 fun proof_map f = the_proof o f o Proof;

 val theory_of = cases I Proof_Context.theory_of;

 val proof_of = cases Proof_Context.init_global I;

 (* pretty printing context *)

 exception PRETTY of generic;

 val pretty = Pretty o PRETTY o Proof;

 val pretty_global = Pretty o PRETTY o Theory;

 fun pretty_context init (Pretty (PRETTY context)) = cases init I context;

 (** thread data **)

 local val tag = Universal.tag () : generic option Universal.tag in

 fun thread_data () =

   (case Thread.getLocal tag of

     SOME (SOME context) => SOME context

   | _ => NONE);

 fun the_thread_data () =

   (case thread_data () of

     SOME context => context

   | _ => error "Unknown context");

 fun set_thread_data context = Thread.setLocal (tag, context);

 fun setmp_thread_data context = Library.setmp_thread_data tag (thread_data ()) context;

 end;

 fun >>> f =

   let

     val (res, context') = f (the_thread_data ());

     val _ = set_thread_data (SOME context');

   in res end;

 nonfix >>;

 fun >> f = >>> (fn context => ((), f context));

 val _ = set_thread_data (SOME (Theory pre_pure_thy));

 end;

 structure Basic_Context: BASIC_CONTEXT = Context;

 open Basic_Context;

 (*** type-safe interfaces for data declarations ***)

 (** theory data **)

 signature THEORY_DATA_PP_ARGS =

 sig

   type T

   val empty: T

   val extend: T -> T

   val merge: Context.pretty -> T * T -> T

 end;

 signature THEORY_DATA_ARGS =

 sig

   type T

   val empty: T

   val extend: T -> T

   val merge: T * T -> T

 end;

 signature THEORY_DATA =

 sig

   type T

   val get: theory -> T

   val put: T -> theory -> theory

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

 end;

 functor Theory_Data_PP(Data: THEORY_DATA_PP_ARGS): THEORY_DATA =

 struct

 type T = Data.T;

 exception Data of T;

 val kind =

   Context.Theory_Data.declare

     (Position.thread_data ())

     (Data Data.empty)

     (fn Data x => Data (Data.extend x))

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

 val get = Context.Theory_Data.get kind (fn Data x => x);

 val put = Context.Theory_Data.put kind Data;

 fun map f thy = put (f (get thy)) thy;

 end;

 functor Theory_Data(Data: THEORY_DATA_ARGS): THEORY_DATA =

   Theory_Data_PP

   (

     type T = Data.T;

     val empty = Data.empty;

     val extend = Data.extend;

     fun merge _ = Data.merge;

   );

 (** proof data **)

 signature PROOF_DATA_ARGS =

 sig

   type T

   val init: theory -> T

 end;

 signature PROOF_DATA =

 sig

   type T

   val get: Proof.context -> T

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

   val map: (T -> T) -> Proof.context -> Proof.context

 end;

 functor Proof_Data(Data: PROOF_DATA_ARGS): PROOF_DATA =

 struct

 type T = Data.T;

 exception Data of T;

 val kind = Context.Proof_Data.declare (Data o Data.init);

 val get = Context.Proof_Data.get kind (fn Data x => x);

 val put = Context.Proof_Data.put kind Data;

 fun map f prf = put (f (get prf)) prf;

 end;

 (** generic data **)

 signature GENERIC_DATA_ARGS =

 sig

   type T

   val empty: T

   val extend: T -> T

   val merge: T * T -> T

 end;

 signature GENERIC_DATA =

 sig

   type T

   val get: Context.generic -> T

   val put: T -> Context.generic -> Context.generic

   val map: (T -> T) -> Context.generic -> Context.generic

 end;

 functor Generic_Data(Data: GENERIC_DATA_ARGS): GENERIC_DATA =

 struct

 structure Thy_Data = Theory_Data(Data);

 structure Prf_Data = Proof_Data(type T = Data.T val init = Thy_Data.get);

 type T = Data.T;

 fun get (Context.Theory thy) = Thy_Data.get thy

   | get (Context.Proof prf) = Prf_Data.get prf;

 fun put x (Context.Theory thy) = Context.Theory (Thy_Data.put x thy)

   | put x (Context.Proof prf) = Context.Proof (Prf_Data.put x prf);

 fun map f ctxt = put (f (get ctxt)) ctxt;

 end;

 (*hide private interface*)

 structure Context: CONTEXT = Context;