--- a/src/Tools/code/code_funcgr_new.ML Fri Feb 20 10:14:32 2009 +0100
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,401 +0,0 @@
-(* Title: Tools/code/code_funcgr.ML
- Author: Florian Haftmann, TU Muenchen
-
-Retrieving, well-sorting and structuring code equations in graph
-with explicit dependencies -- the waisenhaus algorithm.
-*)
-
-signature CODE_FUNCGR =
-sig
- type T
- val eqns: T -> string -> (thm * bool) list
- val typ: T -> string -> (string * sort) list * typ
- val all: T -> string list
- val pretty: theory -> T -> Pretty.T
- val make: theory -> string list
- -> ((sort -> sort) * Sorts.algebra) * T
- val eval_conv: theory
- -> (term -> term * (((sort -> sort) * Sorts.algebra) -> T -> thm)) -> cterm -> thm
- val eval_term: theory
- -> (term -> term * (((sort -> sort) * Sorts.algebra) -> T -> 'a)) -> term -> 'a
-end
-
-structure Code_Funcgr : CODE_FUNCGR =
-struct
-
-(** the graph type **)
-
-type T = (((string * sort) list * typ) * (thm * bool) list) Graph.T;
-
-fun eqns funcgr = these o Option.map snd o try (Graph.get_node funcgr);
-fun typ funcgr = fst o Graph.get_node funcgr;
-fun all funcgr = Graph.keys funcgr;
-
-fun pretty thy funcgr =
- AList.make (snd o Graph.get_node funcgr) (Graph.keys funcgr)
- |> (map o apfst) (Code_Unit.string_of_const thy)
- |> sort (string_ord o pairself fst)
- |> map (fn (s, thms) =>
- (Pretty.block o Pretty.fbreaks) (
- Pretty.str s
- :: map (Display.pretty_thm o fst) thms
- ))
- |> Pretty.chunks;
-
-
-(** graph algorithm **)
-
-(* generic *)
-
-fun tracing s = (if ! Toplevel.debug then Output.tracing s else ());
-
-fun complete_proper_sort thy =
- Sign.complete_sort thy #> filter (can (AxClass.get_info thy));
-
-fun inst_params thy tyco class =
- map (fn (c, _) => AxClass.param_of_inst thy (c, tyco))
- ((#params o AxClass.get_info thy) class);
-
-fun consts_of thy eqns = [] |> (fold o fold o fold_aterms)
- (fn Const (c, ty) => insert (op =) (c, Sign.const_typargs thy (c, Logic.unvarifyT ty)) | _ => I)
- (map (op :: o swap o apfst (snd o strip_comb) o Logic.dest_equals o Thm.plain_prop_of o fst) eqns);
-
-fun lhs_rhss_of thy c =
- let
- val eqns = Code.these_eqns thy c
- |> burrow_fst (Code_Unit.norm_args thy)
- |> burrow_fst (Code_Unit.norm_varnames thy Code_Name.purify_tvar Code_Name.purify_var);
- val (lhs, _) = case eqns of [] => Code.default_typscheme thy c
- | ((thm, _) :: _) => (snd o Code_Unit.head_eqn thy) thm;
- val rhss = consts_of thy eqns;
- in (lhs, rhss) end;
-
-
-(* data structures *)
-
-datatype const = Fun of string | Inst of class * string;
-
-fun const_ord (Fun c1, Fun c2) = fast_string_ord (c1, c2)
- | const_ord (Inst class_tyco1, Inst class_tyco2) =
- prod_ord fast_string_ord fast_string_ord (class_tyco1, class_tyco2)
- | const_ord (Fun _, Inst _) = LESS
- | const_ord (Inst _, Fun _) = GREATER;
-
-type var = const * int;
-
-structure Vargraph =
- GraphFun(type key = var val ord = prod_ord const_ord int_ord);
-
-datatype styp = Tyco of string * styp list | Var of var;
-
-type vardeps = const list * ((string * styp list) list * class list) Vargraph.T;
-
-
-(* computing instantiations -- FIXME does not consider existing things *)
-
-fun add_classes thy c_k new_classes vardeps =
- let
- val _ = tracing "add_classes";
- val (styps, old_classes) = Vargraph.get_node (snd vardeps) c_k;
- val diff_classes = new_classes |> subtract (op =) old_classes;
- in if null diff_classes then vardeps
- else let
- val c_ks = Vargraph.imm_succs (snd vardeps) c_k |> insert (op =) c_k;
- in
- vardeps
- |> (apsnd o Vargraph.map_node c_k o apsnd) (append diff_classes)
- |> fold (fn styp => fold (add_typmatch_inst thy styp) new_classes) styps
- |> fold (fn c_k => add_classes thy c_k diff_classes) c_ks
- end end
-and add_styp thy c_k tyco_styps vardeps =
- let
- val _ = tracing "add_styp";
- val (old_styps, classes) = Vargraph.get_node (snd vardeps) c_k;
- in if member (op =) old_styps tyco_styps then vardeps
- else
- vardeps
- |> (apsnd o Vargraph.map_node c_k o apfst) (cons tyco_styps)
- |> fold (add_typmatch_inst thy tyco_styps) classes
- end
-and add_dep thy c_k c_k' vardeps =
- let
- val _ = tracing ("add_dep " ^ makestring c_k ^ " -> " ^ makestring c_k');
- val (_, classes) = Vargraph.get_node (snd vardeps) c_k;
- in
- vardeps
- |> add_classes thy c_k' classes
- |> apsnd (Vargraph.add_edge (c_k, c_k'))
- end
-and add_typmatch_inst thy (tyco, styps) class vardeps = if can (Sign.arity_sorts thy tyco) [class]
- then vardeps
- |> tap (fn _ => tracing "add_typmatch_inst")
- |> assert thy (Inst (class, tyco))
- |> fold_index (fn (k, styp) =>
- add_typmatch thy styp (Inst (class, tyco), k)) styps
- else vardeps (*permissive!*)
-and add_typmatch thy (Var c_k') c_k vardeps =
- vardeps
- |> tap (fn _ => tracing "add_typmatch (Inst)")
- |> add_dep thy c_k c_k'
- | add_typmatch thy (Tyco tyco_styps) c_k vardeps =
- vardeps
- |> tap (fn _ => tracing "add_typmatch (Tyco)")
- |> add_styp thy c_k tyco_styps
-and add_inst thy (class, tyco) vardeps =
- let
- val _ = tracing ("add_inst " ^ tyco ^ "::" ^ class);
- val superclasses = complete_proper_sort thy
- (Sign.super_classes thy class);
- val classess = map (complete_proper_sort thy)
- (Sign.arity_sorts thy tyco [class]);
- val inst_params = inst_params thy tyco class;
- (*FIXME also consider existing things here*)
- in
- vardeps
- |> fold (fn superclass => assert thy (Inst (superclass, tyco))) superclasses
- |> fold (assert thy o Fun) inst_params
- |> fold_index (fn (k, classes) =>
- apsnd (Vargraph.default_node ((Inst (class, tyco), k), ([] ,[])))
- #> add_classes thy (Inst (class, tyco), k) classes
- #> fold (fn superclass =>
- add_dep thy (Inst (superclass, tyco), k)
- (Inst (class, tyco), k)) superclasses
- #> fold (fn inst_param =>
- add_dep thy (Fun inst_param, k)
- (Inst (class, tyco), k)
- ) inst_params
- ) classess
- end
-and add_const thy c vardeps =
- let
- val _ = tracing "add_const";
- val (lhs, rhss) = lhs_rhss_of thy c;
- (*FIXME build lhs_rhss_of such that it points to existing graph if possible*)
- fun styp_of (Type (tyco, tys)) = Tyco (tyco, map styp_of tys)
- | styp_of (TFree (v, _)) = Var (Fun c, find_index (fn (v', _) => v = v') lhs);
- val rhss' = (map o apsnd o map) styp_of rhss;
- in
- vardeps
- |> fold_index (fn (k, (_, sort)) =>
- apsnd (Vargraph.default_node ((Fun c, k), ([] ,[])))
- #> add_classes thy (Fun c, k) (complete_proper_sort thy sort)) lhs
- |> fold (assert thy o Fun o fst) rhss'
- |> fold (fn (c', styps) => fold_index (fn (k', styp) =>
- add_typmatch thy styp (Fun c', k')) styps) rhss'
- end
-and assert thy c (vardeps as (asserted, _)) =
- if member (op =) asserted c then vardeps
- else case c
- of Fun const => vardeps |> apfst (cons c) |> add_const thy const
- | Inst inst => vardeps |> apfst (cons c) |> add_inst thy inst;
-
-
-(* applying instantiations *)
-
-fun dicts_of thy (proj_sort, algebra) (T, sort) =
- let
- fun class_relation (x, _) _ = x;
- fun type_constructor tyco xs class =
- inst_params thy tyco class @ (maps o maps) fst xs;
- fun type_variable (TFree (_, sort)) = map (pair []) (proj_sort sort);
- in
- flat (Sorts.of_sort_derivation (Syntax.pp_global thy) algebra
- { class_relation = class_relation, type_constructor = type_constructor,
- type_variable = type_variable } (T, proj_sort sort)
- handle Sorts.CLASS_ERROR _ => [] (*permissive!*))
- end;
-
-fun algebra_of thy vardeps =
- let
- val pp = Syntax.pp_global thy;
- val thy_algebra = Sign.classes_of thy;
- val is_proper = can (AxClass.get_info thy);
- val classrels = Sorts.classrels_of thy_algebra
- |> filter (is_proper o fst)
- |> (map o apsnd) (filter is_proper);
- val instances = Sorts.instances_of thy_algebra
- |> filter (is_proper o snd);
- fun add_class (class, superclasses) algebra =
- Sorts.add_class pp (class, Sorts.minimize_sort algebra superclasses) algebra;
- val arity_constraints = Vargraph.fold (fn ((Fun _, _), _) => I
- | ((Inst (class, tyco), k), ((_, classes), _)) =>
- AList.map_default (op =)
- ((tyco, class), replicate (Sign.arity_number thy tyco) [])
- (nth_map k (K classes))) vardeps [];
- fun add_arity (tyco, class) algebra =
- case AList.lookup (op =) arity_constraints (tyco, class)
- of SOME sorts => (tracing (Pretty.output (Syntax.pretty_arity (ProofContext.init thy)
- (tyco, sorts, [class])));
- Sorts.add_arities pp
- (tyco, [(class, map (Sorts.minimize_sort algebra) sorts)]) algebra)
- | NONE => if Sign.arity_number thy tyco = 0
- then Sorts.add_arities pp (tyco, [(class, [])]) algebra
- else algebra;
- in
- Sorts.empty_algebra
- |> fold add_class classrels
- |> fold add_arity instances
- end;
-
-fun add_eqs thy (proj_sort, algebra) vardeps c gr =
- let
- val eqns = Code.these_eqns thy c
- |> burrow_fst (Code_Unit.norm_args thy)
- |> burrow_fst (Code_Unit.norm_varnames thy Code_Name.purify_tvar Code_Name.purify_var);
- val (vs, _) = case eqns of [] => Code.default_typscheme thy c
- | ((thm, _) :: _) => (snd o Code_Unit.head_eqn thy) thm;
- val inst = Vartab.empty |> fold_index (fn (k, (v, _)) =>
- Vartab.update ((v, 0), snd (Vargraph.get_node vardeps (Fun c, k)))) vs;
- val eqns' = eqns
- |> (map o apfst) (Code_Unit.inst_thm thy inst);
- val tyscm = case eqns' of [] => Code.default_typscheme thy c
- | ((thm, _) :: _) => (snd o Code_Unit.head_eqn thy) thm;
- val _ = tracing ("tyscm " ^ makestring (map snd (fst tyscm)));
- val rhss = consts_of thy eqns';
- in
- gr
- |> Graph.new_node (c, (tyscm, eqns'))
- |> fold (fn (c', Ts) => ensure_eqs_dep thy (proj_sort, algebra) vardeps c c'
- #-> (fn (vs, _) =>
- fold2 (ensure_match thy (proj_sort, algebra) vardeps c) Ts (map snd vs))) rhss
- |> pair tyscm
- end
-and ensure_match thy (proj_sort, algebra) vardeps c T sort gr =
- gr
- |> fold (fn c' => ensure_eqs_dep thy (proj_sort, algebra) vardeps c c' #> snd)
- (dicts_of thy (proj_sort, algebra) (T, proj_sort sort))
-and ensure_eqs_dep thy (proj_sort, algebra) vardeps c c' gr =
- gr
- |> ensure_eqs thy (proj_sort, algebra) vardeps c'
- ||> Graph.add_edge (c, c')
-and ensure_eqs thy (proj_sort, algebra) vardeps c gr =
- case try (Graph.get_node gr) c
- of SOME (tyscm, _) => (tyscm, gr)
- | NONE => add_eqs thy (proj_sort, algebra) vardeps c gr;
-
-fun extend_graph thy cs gr =
- let
- val _ = tracing ("extending with " ^ commas cs);
- val _ = tracing "obtaining instantiations";
- val (_, vardeps) = fold (assert thy o Fun) cs ([], Vargraph.empty)
- val _ = tracing "obtaining algebra";
- val algebra = algebra_of thy vardeps;
- val _ = tracing "obtaining equations";
- val proj_sort = complete_proper_sort thy #> Sorts.minimize_sort algebra;
- val (_, gr') = fold_map (ensure_eqs thy (proj_sort, algebra) vardeps) cs gr;
- val _ = tracing "sort projection";
- in ((proj_sort, algebra), gr') end;
-
-
-(** retrieval interfaces **)
-
-fun proto_eval thy cterm_of evaluator_lift evaluator proto_ct funcgr =
- let
- val ct = cterm_of proto_ct;
- val _ = Sign.no_vars (Syntax.pp_global thy) (Thm.term_of ct);
- val _ = Term.fold_types (Type.no_tvars #> K I) (Thm.term_of ct) ();
- fun consts_of t =
- fold_aterms (fn Const c_ty => cons c_ty | _ => I) t [];
- val thm = Code.preprocess_conv thy ct;
- val ct' = Thm.rhs_of thm;
- val t' = Thm.term_of ct';
- val consts = map fst (consts_of t');
- val (algebra', funcgr') = extend_graph thy consts funcgr;
- val (t'', evaluator_funcgr) = evaluator t';
- val consts' = consts_of t'';
- val const_matches = fold (fn (c, ty) =>
- insert (op =) (Sign.const_typargs thy (c, Logic.unvarifyT ty), c)) consts' [];
- val typ_matches = maps (fn (tys, c) => tys ~~ map snd (fst (fst (Graph.get_node funcgr' c))))
- const_matches;
- val dicts = maps (dicts_of thy algebra') typ_matches;
- val (algebra'', funcgr'') = extend_graph thy dicts funcgr';
- in (evaluator_lift (evaluator_funcgr algebra'') thm funcgr'', funcgr'') end;
-
-fun proto_eval_conv thy =
- let
- fun evaluator_lift evaluator thm1 funcgr =
- let
- val thm2 = evaluator funcgr;
- val thm3 = Code.postprocess_conv thy (Thm.rhs_of thm2);
- in
- Thm.transitive thm1 (Thm.transitive thm2 thm3) handle THM _ =>
- error ("could not construct evaluation proof:\n"
- ^ (cat_lines o map Display.string_of_thm) [thm1, thm2, thm3])
- end;
- in proto_eval thy I evaluator_lift end;
-
-fun proto_eval_term thy =
- let
- fun evaluator_lift evaluator _ funcgr = evaluator funcgr;
- in proto_eval thy (Thm.cterm_of thy) evaluator_lift end;
-
-structure Funcgr = CodeDataFun
-(
- type T = T;
- val empty = Graph.empty;
- fun purge _ cs funcgr =
- Graph.del_nodes ((Graph.all_preds funcgr
- o filter (can (Graph.get_node funcgr))) cs) funcgr;
-);
-
-fun make thy = Funcgr.change_yield thy o extend_graph thy;
-
-fun eval_conv thy f =
- fst o Funcgr.change_yield thy o proto_eval_conv thy f;
-
-fun eval_term thy f =
- fst o Funcgr.change_yield thy o proto_eval_term thy f;
-
-
-(** diagnostic commands **)
-
-fun code_depgr thy consts =
- let
- val (_, gr) = make thy consts;
- val select = Graph.all_succs gr consts;
- in
- gr
- |> not (null consts) ? Graph.subgraph (member (op =) select)
- |> Graph.map_nodes ((apsnd o map o apfst) (AxClass.overload thy))
- end;
-
-fun code_thms thy = Pretty.writeln o pretty thy o code_depgr thy;
-
-fun code_deps thy consts =
- let
- val gr = code_depgr thy consts;
- fun mk_entry (const, (_, (_, parents))) =
- let
- val name = Code_Unit.string_of_const thy const;
- val nameparents = map (Code_Unit.string_of_const thy) parents;
- in { name = name, ID = name, dir = "", unfold = true,
- path = "", parents = nameparents }
- end;
- val prgr = Graph.fold ((fn x => fn xs => xs @ [x]) o mk_entry) gr [];
- in Present.display_graph prgr end;
-
-local
-
-structure P = OuterParse
-and K = OuterKeyword
-
-fun code_thms_cmd thy = code_thms thy o op @ o Code_Name.read_const_exprs thy;
-fun code_deps_cmd thy = code_deps thy o op @ o Code_Name.read_const_exprs thy;
-
-in
-
-val _ =
- OuterSyntax.improper_command "code_thms" "print system of defining equations for code" OuterKeyword.diag
- (Scan.repeat P.term_group
- >> (fn cs => Toplevel.no_timing o Toplevel.unknown_theory
- o Toplevel.keep ((fn thy => code_thms_cmd thy cs) o Toplevel.theory_of)));
-
-val _ =
- OuterSyntax.improper_command "code_deps" "visualize dependencies of defining equations for code" OuterKeyword.diag
- (Scan.repeat P.term_group
- >> (fn cs => Toplevel.no_timing o Toplevel.unknown_theory
- o Toplevel.keep ((fn thy => code_deps_cmd thy cs) o Toplevel.theory_of)));
-
-end;
-
-end; (*struct*)
--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/Tools/code/code_wellsorted.ML Fri Feb 20 10:14:32 2009 +0100
@@ -0,0 +1,404 @@
+(* Title: Tools/code/code_wellsorted.ML
+ Author: Florian Haftmann, TU Muenchen
+
+Retrieving, well-sorting and structuring code equations in graph
+with explicit dependencies -- the Waisenhaus algorithm.
+*)
+
+signature CODE_FUNCGR =
+sig
+ type T
+ val eqns: T -> string -> (thm * bool) list
+ val typ: T -> string -> (string * sort) list * typ
+ val all: T -> string list
+ val pretty: theory -> T -> Pretty.T
+ val make: theory -> string list
+ -> ((sort -> sort) * Sorts.algebra) * T
+ val eval_conv: theory
+ -> (term -> term * (((sort -> sort) * Sorts.algebra) -> T -> thm)) -> cterm -> thm
+ val eval_term: theory
+ -> (term -> term * (((sort -> sort) * Sorts.algebra) -> T -> 'a)) -> term -> 'a
+end
+
+structure Code_Funcgr : CODE_FUNCGR =
+struct
+
+(** the equation graph type **)
+
+type T = (((string * sort) list * typ) * (thm * bool) list) Graph.T;
+
+fun eqns eqngr = these o Option.map snd o try (Graph.get_node eqngr);
+fun typ eqngr = fst o Graph.get_node eqngr;
+fun all eqngr = Graph.keys eqngr;
+
+fun pretty thy eqngr =
+ AList.make (snd o Graph.get_node eqngr) (Graph.keys eqngr)
+ |> (map o apfst) (Code_Unit.string_of_const thy)
+ |> sort (string_ord o pairself fst)
+ |> map (fn (s, thms) =>
+ (Pretty.block o Pretty.fbreaks) (
+ Pretty.str s
+ :: map (Display.pretty_thm o fst) thms
+ ))
+ |> Pretty.chunks;
+
+
+(** the Waisenhaus algorithm **)
+
+(* auxiliary *)
+
+fun complete_proper_sort thy =
+ Sign.complete_sort thy #> filter (can (AxClass.get_info thy));
+
+fun inst_params thy tyco class =
+ map (fn (c, _) => AxClass.param_of_inst thy (c, tyco))
+ ((#params o AxClass.get_info thy) class);
+
+fun consts_of thy eqns = [] |> (fold o fold o fold_aterms)
+ (fn Const (c, ty) => insert (op =) (c, Sign.const_typargs thy (c, Logic.unvarifyT ty)) | _ => I)
+ (map (op :: o swap o apfst (snd o strip_comb) o Logic.dest_equals o Thm.plain_prop_of o fst) eqns);
+
+fun tyscm_rhss_of thy c eqns =
+ let
+ val tyscm = case eqns of [] => Code.default_typscheme thy c
+ | ((thm, _) :: _) => (snd o Code_Unit.head_eqn thy) thm;
+ val rhss = consts_of thy eqns;
+ in (tyscm, rhss) end;
+
+
+(* data structures *)
+
+datatype const = Fun of string | Inst of class * string;
+
+fun const_ord (Fun c1, Fun c2) = fast_string_ord (c1, c2)
+ | const_ord (Inst class_tyco1, Inst class_tyco2) =
+ prod_ord fast_string_ord fast_string_ord (class_tyco1, class_tyco2)
+ | const_ord (Fun _, Inst _) = LESS
+ | const_ord (Inst _, Fun _) = GREATER;
+
+type var = const * int;
+
+structure Vargraph =
+ GraphFun(type key = var val ord = prod_ord const_ord int_ord);
+
+datatype styp = Tyco of string * styp list | Var of var;
+
+
+(* computing instantiations *)
+
+fun obtain_eqns thy eqngr c =
+ case try (Graph.get_node eqngr) c
+ of SOME ((lhs, _), eqns) => ((lhs, []), eqns)
+ | NONE => let
+ val eqns = Code.these_eqns thy c
+ |> burrow_fst (Code_Unit.norm_args thy)
+ |> burrow_fst (Code_Unit.norm_varnames thy Code_Name.purify_tvar Code_Name.purify_var);
+ val ((lhs, _), rhss) = tyscm_rhss_of thy c eqns;
+ in ((lhs, rhss), eqns) end;
+
+fun obtain_instance thy arities (inst as (class, tyco)) =
+ case AList.lookup (op =) arities inst
+ of SOME classess => (classess, ([], []))
+ | NONE => let
+ val classess = map (complete_proper_sort thy)
+ (Sign.arity_sorts thy tyco [class]);
+ val superclasses = [class]
+ |> complete_proper_sort thy
+ |> remove (op =) class;
+ val inst_params = inst_params thy tyco class;
+ in (classess, (superclasses, inst_params)) end;
+
+fun add_classes thy arities eqngr c_k new_classes vardeps_data =
+ let
+ val (styps, old_classes) = Vargraph.get_node (fst vardeps_data) c_k;
+ val diff_classes = new_classes |> subtract (op =) old_classes;
+ in if null diff_classes then vardeps_data
+ else let
+ val c_ks = Vargraph.imm_succs (fst vardeps_data) c_k |> insert (op =) c_k;
+ in
+ vardeps_data
+ |> (apfst o Vargraph.map_node c_k o apsnd) (append diff_classes)
+ |> fold (fn styp => fold (add_typmatch_inst thy arities eqngr styp) new_classes) styps
+ |> fold (fn c_k => add_classes thy arities eqngr c_k diff_classes) c_ks
+ end end
+and add_styp thy arities eqngr c_k tyco_styps vardeps_data =
+ let
+ val (old_styps, classes) = Vargraph.get_node (fst vardeps_data) c_k;
+ in if member (op =) old_styps tyco_styps then vardeps_data
+ else
+ vardeps_data
+ |> (apfst o Vargraph.map_node c_k o apfst) (cons tyco_styps)
+ |> fold (add_typmatch_inst thy arities eqngr tyco_styps) classes
+ end
+and add_dep thy arities eqngr c_k c_k' vardeps_data =
+ let
+ val (_, classes) = Vargraph.get_node (fst vardeps_data) c_k;
+ in
+ vardeps_data
+ |> add_classes thy arities eqngr c_k' classes
+ |> apfst (Vargraph.add_edge (c_k, c_k'))
+ end
+and add_typmatch_inst thy arities eqngr (tyco, styps) class vardeps_data =
+ if can (Sign.arity_sorts thy tyco) [class]
+ then vardeps_data
+ |> assert thy arities eqngr (Inst (class, tyco))
+ |> fold_index (fn (k, styp) =>
+ add_typmatch thy arities eqngr styp (Inst (class, tyco), k)) styps
+ else vardeps_data (*permissive!*)
+and add_typmatch thy arities eqngr (Var c_k') c_k vardeps_data =
+ vardeps_data
+ |> add_dep thy arities eqngr c_k c_k'
+ | add_typmatch thy arities eqngr (Tyco tyco_styps) c_k vardeps_data =
+ vardeps_data
+ |> add_styp thy arities eqngr c_k tyco_styps
+and add_inst thy arities eqngr (inst as (class, tyco)) vardeps_data =
+ let
+ val (classess, (superclasses, inst_params)) =
+ obtain_instance thy arities inst;
+ in
+ vardeps_data
+ |> fold (fn superclass => assert thy arities eqngr (Inst (superclass, tyco))) superclasses
+ |> fold (assert thy arities eqngr o Fun) inst_params
+ |> fold_index (fn (k, classes) =>
+ apfst (Vargraph.new_node ((Inst (class, tyco), k), ([] ,[])))
+ #> add_classes thy arities eqngr (Inst (class, tyco), k) classes
+ #> fold (fn superclass =>
+ add_dep thy arities eqngr (Inst (superclass, tyco), k)
+ (Inst (class, tyco), k)) superclasses
+ #> fold (fn inst_param =>
+ add_dep thy arities eqngr (Fun inst_param, k)
+ (Inst (class, tyco), k)
+ ) inst_params
+ ) classess
+ end
+and add_const thy arities eqngr c vardeps_data =
+ let
+ val ((lhs, rhss), eqns) = obtain_eqns thy eqngr c;
+ fun styp_of (Type (tyco, tys)) = Tyco (tyco, map styp_of tys)
+ | styp_of (TFree (v, _)) = Var (Fun c, find_index (fn (v', _) => v = v') lhs);
+ val rhss' = (map o apsnd o map) styp_of rhss;
+ in
+ vardeps_data
+ |> (apsnd o apsnd) (Symtab.update_new (c, (lhs, eqns)))
+ |> fold_index (fn (k, (_, sort)) =>
+ apfst (Vargraph.new_node ((Fun c, k), ([] ,[])))
+ #> add_classes thy arities eqngr (Fun c, k) (complete_proper_sort thy sort)) lhs
+ |> fold (assert thy arities eqngr o Fun o fst) rhss'
+ |> fold (fn (c', styps) => fold_index (fn (k', styp) =>
+ add_typmatch thy arities eqngr styp (Fun c', k')) styps) rhss'
+ end
+and assert thy arities eqngr c vardeps_data =
+ if member (op =) ((fst o snd) vardeps_data) c then vardeps_data
+ else case c
+ of Fun const => vardeps_data |> (apsnd o apfst) (cons c) |> add_const thy arities eqngr const
+ | Inst inst => vardeps_data |> (apsnd o apfst) (cons c) |> add_inst thy arities eqngr inst;
+
+
+(* applying instantiations *)
+
+fun build_algebra thy arities =
+ let
+ val pp = Syntax.pp_global thy;
+ val thy_algebra = Sign.classes_of thy;
+ val is_proper = can (AxClass.get_info thy);
+ val classrels = Sorts.classrels_of thy_algebra
+ |> filter (is_proper o fst)
+ |> (map o apsnd) (filter is_proper);
+ val instances = Sorts.instances_of thy_algebra
+ |> filter (is_proper o snd);
+ fun add_class (class, superclasses) algebra =
+ Sorts.add_class pp (class, Sorts.minimize_sort algebra superclasses) algebra;
+ fun add_arity (tyco, class) algebra =
+ case AList.lookup (op =) arities (tyco, class)
+ of SOME sorts => Sorts.add_arities pp
+ (tyco, [(class, map (Sorts.minimize_sort algebra) sorts)]) algebra
+ | NONE => if Sign.arity_number thy tyco = 0
+ then Sorts.add_arities pp (tyco, [(class, [])]) algebra
+ else algebra;
+ in
+ Sorts.empty_algebra
+ |> fold add_class classrels
+ |> fold add_arity instances
+ end;
+
+fun dicts_of thy (proj_sort, algebra) (T, sort) =
+ let
+ fun class_relation (x, _) _ = x;
+ fun type_constructor tyco xs class =
+ inst_params thy tyco class @ (maps o maps) fst xs;
+ fun type_variable (TFree (_, sort)) = map (pair []) (proj_sort sort);
+ in
+ flat (Sorts.of_sort_derivation (Syntax.pp_global thy) algebra
+ { class_relation = class_relation, type_constructor = type_constructor,
+ type_variable = type_variable } (T, proj_sort sort)
+ handle Sorts.CLASS_ERROR _ => [] (*permissive!*))
+ end;
+
+fun add_arities thy vardeps = Vargraph.fold (fn ((Fun _, _), _) => I
+ | ((Inst (class, tyco), k), ((_, classes), _)) =>
+ AList.map_default (op =)
+ ((tyco, class), replicate (Sign.arity_number thy tyco) [])
+ (nth_map k (K classes))) vardeps;
+
+fun add_eqs thy (proj_sort, algebra) eqntab vardeps c gr =
+ let
+ val (proto_lhs, proto_eqns) = (the o Symtab.lookup eqntab) c;
+ val lhs = map_index (fn (k, (v, _)) =>
+ (v, snd (Vargraph.get_node vardeps (Fun c, k)))) proto_lhs;
+ val inst_tab = Vartab.empty |> fold (fn (v, sort) =>
+ Vartab.update ((v, 0), sort)) lhs;
+ val eqns = proto_eqns
+ |> (map o apfst) (Code_Unit.inst_thm thy inst_tab);
+ val (tyscm, rhss) = tyscm_rhss_of thy c eqns;
+ in
+ gr
+ |> Graph.new_node (c, (tyscm, eqns))
+ |> fold (fn (c', Ts) => ensure_eqs_dep thy (proj_sort, algebra) eqntab vardeps c c'
+ #-> (fn (vs, _) =>
+ fold2 (ensure_match thy (proj_sort, algebra) eqntab vardeps c) Ts (map snd vs))) rhss
+ |> pair tyscm
+ end
+and ensure_match thy (proj_sort, algebra) eqntab vardeps c T sort gr =
+ gr
+ |> fold (fn c' => ensure_eqs_dep thy (proj_sort, algebra) eqntab vardeps c c' #> snd)
+ (dicts_of thy (proj_sort, algebra) (T, proj_sort sort))
+and ensure_eqs_dep thy (proj_sort, algebra) eqntab vardeps c c' gr =
+ gr
+ |> ensure_eqs thy (proj_sort, algebra) eqntab vardeps c'
+ ||> Graph.add_edge (c, c')
+and ensure_eqs thy (proj_sort, algebra) eqntab vardeps c gr =
+ case try (Graph.get_node gr) c
+ of SOME (tyscm, _) => (tyscm, gr)
+ | NONE => add_eqs thy (proj_sort, algebra) eqntab vardeps c gr;
+
+fun extend_arities_eqngr thy cs (arities, eqngr) =
+ let
+ val (vardeps, (_, eqntab)) = fold (assert thy arities eqngr o Fun)
+ cs (Vargraph.empty, ([], Symtab.empty));
+ val arities' = add_arities thy vardeps arities;
+ val algebra = build_algebra thy arities';
+ val proj_sort = complete_proper_sort thy #> Sorts.minimize_sort algebra;
+ val (_, eqngr') = fold_map (ensure_eqs thy (proj_sort, algebra) eqntab vardeps) cs eqngr;
+ in ((proj_sort, algebra), (arities', eqngr')) end;
+
+
+(** retrieval interfaces **)
+
+fun proto_eval thy cterm_of evaluator_lift evaluator proto_ct arities_eqngr =
+ let
+ val ct = cterm_of proto_ct;
+ val _ = Sign.no_vars (Syntax.pp_global thy) (Thm.term_of ct);
+ val _ = Term.fold_types (Type.no_tvars #> K I) (Thm.term_of ct) ();
+ fun consts_of t =
+ fold_aterms (fn Const c_ty => cons c_ty | _ => I) t [];
+ val thm = Code.preprocess_conv thy ct;
+ val ct' = Thm.rhs_of thm;
+ val t' = Thm.term_of ct';
+ val consts = map fst (consts_of t');
+ val (algebra', arities_eqngr') = extend_arities_eqngr thy consts arities_eqngr;
+ val (t'', evaluator_eqngr) = evaluator t';
+ val consts' = consts_of t'';
+ val const_matches = fold (fn (c, ty) =>
+ insert (op =) (Sign.const_typargs thy (c, Logic.unvarifyT ty), c)) consts' [];
+ val typ_matches = maps (fn (tys, c) =>
+ tys ~~ map snd (fst (fst (Graph.get_node (snd arities_eqngr') c))))
+ const_matches;
+ val dicts = maps (dicts_of thy algebra') typ_matches;
+ val (algebra'', arities_eqngr'') = extend_arities_eqngr thy dicts arities_eqngr';
+ in (evaluator_lift (evaluator_eqngr algebra'') thm (snd arities_eqngr''), arities_eqngr'') end;
+
+fun proto_eval_conv thy =
+ let
+ fun evaluator_lift evaluator thm1 eqngr =
+ let
+ val thm2 = evaluator eqngr;
+ val thm3 = Code.postprocess_conv thy (Thm.rhs_of thm2);
+ in
+ Thm.transitive thm1 (Thm.transitive thm2 thm3) handle THM _ =>
+ error ("could not construct evaluation proof:\n"
+ ^ (cat_lines o map Display.string_of_thm) [thm1, thm2, thm3])
+ end;
+ in proto_eval thy I evaluator_lift end;
+
+fun proto_eval_term thy =
+ let
+ fun evaluator_lift evaluator _ eqngr = evaluator eqngr;
+ in proto_eval thy (Thm.cterm_of thy) evaluator_lift end;
+
+structure Wellsorted = CodeDataFun
+(
+ type T = ((string * class) * sort list) list * T;
+ val empty = ([], Graph.empty);
+ fun purge thy cs (arities, eqngr) =
+ let
+ val del_cs = ((Graph.all_preds eqngr
+ o filter (can (Graph.get_node eqngr))) cs);
+ val del_arities =
+ map_filter (AxClass.inst_of_param thy) del_cs;
+ val arities' = fold (AList.delete (op =)) del_arities arities;
+ val eqngr' = Graph.del_nodes del_cs eqngr;
+ in (arities', eqngr') end;
+);
+
+fun make thy = apsnd snd
+ o Wellsorted.change_yield thy o extend_arities_eqngr thy;
+
+fun eval_conv thy f =
+ fst o Wellsorted.change_yield thy o proto_eval_conv thy f;
+
+fun eval_term thy f =
+ fst o Wellsorted.change_yield thy o proto_eval_term thy f;
+
+
+(** diagnostic commands **)
+
+fun code_depgr thy consts =
+ let
+ val (_, eqngr) = make thy consts;
+ val select = Graph.all_succs eqngr consts;
+ in
+ eqngr
+ |> not (null consts) ? Graph.subgraph (member (op =) select)
+ |> Graph.map_nodes ((apsnd o map o apfst) (AxClass.overload thy))
+ end;
+
+fun code_thms thy = Pretty.writeln o pretty thy o code_depgr thy;
+
+fun code_deps thy consts =
+ let
+ val eqngr = code_depgr thy consts;
+ fun mk_entry (const, (_, (_, parents))) =
+ let
+ val name = Code_Unit.string_of_const thy const;
+ val nameparents = map (Code_Unit.string_of_const thy) parents;
+ in { name = name, ID = name, dir = "", unfold = true,
+ path = "", parents = nameparents }
+ end;
+ val prgr = Graph.fold ((fn x => fn xs => xs @ [x]) o mk_entry) eqngr [];
+ in Present.display_graph prgr end;
+
+local
+
+structure P = OuterParse
+and K = OuterKeyword
+
+fun code_thms_cmd thy = code_thms thy o op @ o Code_Name.read_const_exprs thy;
+fun code_deps_cmd thy = code_deps thy o op @ o Code_Name.read_const_exprs thy;
+
+in
+
+val _ =
+ OuterSyntax.improper_command "code_thms" "print system of defining equations for code" OuterKeyword.diag
+ (Scan.repeat P.term_group
+ >> (fn cs => Toplevel.no_timing o Toplevel.unknown_theory
+ o Toplevel.keep ((fn thy => code_thms_cmd thy cs) o Toplevel.theory_of)));
+
+val _ =
+ OuterSyntax.improper_command "code_deps" "visualize dependencies of defining equations for code" OuterKeyword.diag
+ (Scan.repeat P.term_group
+ >> (fn cs => Toplevel.no_timing o Toplevel.unknown_theory
+ o Toplevel.keep ((fn thy => code_deps_cmd thy cs) o Toplevel.theory_of)));
+
+end;
+
+end; (*struct*)