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authorHans Bolinder <[email protected]>2016-05-20 12:19:43 +0200
committerHans Bolinder <[email protected]>2016-06-09 11:28:00 +0200
commit1888e86189c6f834a04c989db46645498a01e6cd (patch)
tree1198486fbdae9aab98ae80f6dd1b3893815e0f5d /lib
parent42549165197b4f2622257b95a631f26a5a253d0a (diff)
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dialyzer: Use a cache when translating forms to types
Diffstat (limited to 'lib')
-rw-r--r--lib/dialyzer/src/dialyzer_contracts.erl161
-rw-r--r--lib/dialyzer/src/dialyzer_utils.erl110
-rw-r--r--lib/hipe/cerl/erl_types.erl408
3 files changed, 391 insertions, 288 deletions
diff --git a/lib/dialyzer/src/dialyzer_contracts.erl b/lib/dialyzer/src/dialyzer_contracts.erl
index 272ad10e90..976a2b8955 100644
--- a/lib/dialyzer/src/dialyzer_contracts.erl
+++ b/lib/dialyzer/src/dialyzer_contracts.erl
@@ -53,7 +53,9 @@
%% to expand records and/or remote types that they might contain.
%%-----------------------------------------------------------------------
--type tmp_contract_fun() :: fun((sets:set(mfa()), types()) -> contract_pair()).
+-type cache() :: ets:tid().
+-type tmp_contract_fun() ::
+ fun((sets:set(mfa()), types(), cache()) -> contract_pair()).
-record(tmp_contract, {contract_funs = [] :: [tmp_contract_fun()],
forms = [] :: [{_, _}]}).
@@ -153,19 +155,30 @@ process_contract_remote_types(CodeServer) ->
ExpTypes = dialyzer_codeserver:get_exported_types(CodeServer),
RecordDict = dialyzer_codeserver:get_records(CodeServer),
ContractFun =
- fun({_M, _F, _A}, {File, #tmp_contract{contract_funs = CFuns, forms = Forms}, Xtra}) ->
- NewCs = [CFun(ExpTypes, RecordDict) || CFun <- CFuns],
- Args = general_domain(NewCs),
- {File, #contract{contracts = NewCs, args = Args, forms = Forms}, Xtra}
+ fun({{_M, _F, _A}=MFA, {File, TmpContract, Xtra}}, C0) ->
+ #tmp_contract{contract_funs = CFuns, forms = Forms} = TmpContract,
+ {NewCs, C2} = lists:mapfoldl(fun(CFun, C1) ->
+ CFun(ExpTypes, RecordDict, C1)
+ end, C0, CFuns),
+ Args = general_domain(NewCs),
+ Contract = #contract{contracts = NewCs, args = Args, forms = Forms},
+ {{MFA, {File, Contract, Xtra}}, C2}
end,
ModuleFun =
- fun(_ModuleName, ContractDict) ->
- dict:map(ContractFun, ContractDict)
+ fun({ModuleName, ContractDict}, C3) ->
+ {NewContractList, C4} =
+ lists:mapfoldl(ContractFun, C3, dict:to_list(ContractDict)),
+ {{ModuleName, dict:from_list(NewContractList)}, C4}
end,
- NewContractDict = dict:map(ModuleFun, TmpContractDict),
- NewCallbackDict = dict:map(ModuleFun, TmpCallbackDict),
+ Cache = erl_types:cache__new(),
+ {NewContractList, C5} =
+ lists:mapfoldl(ModuleFun, Cache, dict:to_list(TmpContractDict)),
+ {NewCallbackList, _C6} =
+ lists:mapfoldl(ModuleFun, C5, dict:to_list(TmpCallbackDict)),
+ NewContractDict = dict:from_list(NewContractList),
+ NewCallbackDict = dict:from_list(NewCallbackList),
dialyzer_codeserver:finalize_contracts(NewContractDict, NewCallbackDict,
- CodeServer).
+ CodeServer).
-type opaques_fun() :: fun((module()) -> [erl_types:erl_type()]).
@@ -431,19 +444,19 @@ contract_from_form(Forms, MFA, RecDict, FileLine) ->
contract_from_form([{type, _, 'fun', [_, _]} = Form | Left], MFA, RecDict,
FileLine, TypeAcc, FormAcc) ->
TypeFun =
- fun(ExpTypes, AllRecords) ->
- NewType =
+ fun(ExpTypes, AllRecords, Cache) ->
+ {NewType, NewCache} =
try
- from_form_with_check(Form, ExpTypes, MFA, AllRecords)
+ from_form_with_check(Form, ExpTypes, MFA, AllRecords, Cache)
catch
throw:{error, Msg} ->
{File, Line} = FileLine,
NewMsg = io_lib:format("~s:~p: ~s", [filename:basename(File),
- Line, Msg]),
+ Line, Msg]),
throw({error, NewMsg})
end,
NewTypeNoVars = erl_types:subst_all_vars_to_any(NewType),
- {NewTypeNoVars, []}
+ {{NewTypeNoVars, []}, NewCache}
end,
NewTypeAcc = [TypeFun | TypeAcc],
NewFormAcc = [{Form, []} | FormAcc],
@@ -452,13 +465,15 @@ contract_from_form([{type, _L1, bounded_fun,
[{type, _L2, 'fun', [_, _]} = Form, Constr]}| Left],
MFA, RecDict, FileLine, TypeAcc, FormAcc) ->
TypeFun =
- fun(ExpTypes, AllRecords) ->
- {Constr1, VarDict} =
- process_constraints(Constr, MFA, RecDict, ExpTypes, AllRecords),
- NewType = from_form_with_check(Form, ExpTypes, MFA, AllRecords,
- VarDict),
+ fun(ExpTypes, AllRecords, Cache) ->
+ {Constr1, VarTable, Cache1} =
+ process_constraints(Constr, MFA, RecDict, ExpTypes, AllRecords,
+ Cache),
+ {NewType, NewCache} =
+ from_form_with_check(Form, ExpTypes, MFA, AllRecords,
+ VarTable, Cache1),
NewTypeNoVars = erl_types:subst_all_vars_to_any(NewType),
- {NewTypeNoVars, Constr1}
+ {{NewTypeNoVars, Constr1}, NewCache}
end,
NewTypeAcc = [TypeFun | TypeAcc],
NewFormAcc = [{Form, Constr} | FormAcc],
@@ -466,74 +481,91 @@ contract_from_form([{type, _L1, bounded_fun,
contract_from_form([], _MFA, _RecDict, _FileLine, TypeAcc, FormAcc) ->
{lists:reverse(TypeAcc), lists:reverse(FormAcc)}.
-process_constraints(Constrs, MFA, RecDict, ExpTypes, AllRecords) ->
- Init0 = initialize_constraints(Constrs, MFA, RecDict, ExpTypes, AllRecords),
+process_constraints(Constrs, MFA, RecDict, ExpTypes, AllRecords, Cache) ->
+ {Init0, NewCache} = initialize_constraints(Constrs, MFA, RecDict, ExpTypes,
+ AllRecords, Cache),
Init = remove_cycles(Init0),
- constraints_fixpoint(Init, MFA, RecDict, ExpTypes, AllRecords).
+ constraints_fixpoint(Init, MFA, RecDict, ExpTypes, AllRecords, NewCache).
-initialize_constraints(Constrs, MFA, RecDict, ExpTypes, AllRecords) ->
- initialize_constraints(Constrs, MFA, RecDict, ExpTypes, AllRecords, []).
+initialize_constraints(Constrs, MFA, RecDict, ExpTypes, AllRecords, Cache) ->
+ initialize_constraints(Constrs, MFA, RecDict, ExpTypes, AllRecords,
+ Cache, []).
-initialize_constraints([], _MFA, _RecDict, _ExpTypes, _AllRecords, Acc) ->
- Acc;
-initialize_constraints([Constr|Rest], MFA, RecDict, ExpTypes, AllRecords, Acc) ->
+initialize_constraints([], _MFA, _RecDict, _ExpTypes, _AllRecords,
+ Cache, Acc) ->
+ {Acc, Cache};
+initialize_constraints([Constr|Rest], MFA, RecDict, ExpTypes, AllRecords,
+ Cache, Acc) ->
case Constr of
{type, _, constraint, [{atom, _, is_subtype}, [Type1, Type2]]} ->
VarTable = erl_types:var_table__new(),
- T1 = final_form(Type1, ExpTypes, MFA, AllRecords, VarTable),
+ {T1, NewCache} =
+ final_form(Type1, ExpTypes, MFA, AllRecords, VarTable, Cache),
Entry = {T1, Type2},
- initialize_constraints(Rest, MFA, RecDict, ExpTypes, AllRecords, [Entry|Acc]);
+ initialize_constraints(Rest, MFA, RecDict, ExpTypes, AllRecords,
+ NewCache, [Entry|Acc]);
{type, _, constraint, [{atom,_,Name}, List]} ->
N = length(List),
throw({error,
io_lib:format("Unsupported type guard ~w/~w\n", [Name, N])})
end.
-constraints_fixpoint(Constrs, MFA, RecDict, ExpTypes, AllRecords) ->
+constraints_fixpoint(Constrs, MFA, RecDict, ExpTypes, AllRecords, Cache) ->
VarTable = erl_types:var_table__new(),
- VarDict =
- constraints_to_dict(Constrs, MFA, RecDict, ExpTypes, AllRecords, VarTable),
- constraints_fixpoint(VarDict, MFA, Constrs, RecDict, ExpTypes, AllRecords).
-
-constraints_fixpoint(OldVarDict, MFA, Constrs, RecDict, ExpTypes, AllRecords) ->
- NewVarDict =
- constraints_to_dict(Constrs, MFA, RecDict, ExpTypes, AllRecords, OldVarDict),
- case NewVarDict of
- OldVarDict ->
+ {VarTab, NewCache} =
+ constraints_to_dict(Constrs, MFA, RecDict, ExpTypes, AllRecords,
+ VarTable, Cache),
+ constraints_fixpoint(VarTab, MFA, Constrs, RecDict, ExpTypes,
+ AllRecords, NewCache).
+
+constraints_fixpoint(OldVarTab, MFA, Constrs, RecDict, ExpTypes,
+ AllRecords, Cache) ->
+ {NewVarTab, NewCache} =
+ constraints_to_dict(Constrs, MFA, RecDict, ExpTypes, AllRecords,
+ OldVarTab, Cache),
+ case NewVarTab of
+ OldVarTab ->
Fun =
fun(Key, Value, Acc) ->
[{subtype, erl_types:t_var(Key), Value}|Acc]
end,
- FinalConstrs = maps:fold(Fun, [], NewVarDict),
- {FinalConstrs, NewVarDict};
+ FinalConstrs = maps:fold(Fun, [], NewVarTab),
+ {FinalConstrs, NewVarTab, NewCache};
_Other ->
- constraints_fixpoint(NewVarDict, MFA, Constrs, RecDict, ExpTypes, AllRecords)
+ constraints_fixpoint(NewVarTab, MFA, Constrs, RecDict, ExpTypes,
+ AllRecords, NewCache)
end.
-final_form(Form, ExpTypes, MFA, AllRecords, VarDict) ->
- from_form_with_check(Form, ExpTypes, MFA, AllRecords, VarDict).
+final_form(Form, ExpTypes, MFA, AllRecords, VarTable, Cache) ->
+ from_form_with_check(Form, ExpTypes, MFA, AllRecords, VarTable, Cache).
-from_form_with_check(Form, ExpTypes, MFA, AllRecords) ->
+from_form_with_check(Form, ExpTypes, MFA, AllRecords, Cache) ->
VarTable = erl_types:var_table__new(),
- from_form_with_check(Form, ExpTypes, MFA, AllRecords, VarTable).
+ from_form_with_check(Form, ExpTypes, MFA, AllRecords, VarTable, Cache).
-from_form_with_check(Form, ExpTypes, MFA, AllRecords, VarDict) ->
+from_form_with_check(Form, ExpTypes, MFA, AllRecords, VarTable, Cache) ->
Site = {spec, MFA},
- erl_types:t_check_record_fields(Form, ExpTypes, Site, AllRecords, VarDict),
- erl_types:t_from_form(Form, ExpTypes, Site, AllRecords, VarDict).
-
-constraints_to_dict(Constrs, MFA, RecDict, ExpTypes, AllRecords, VarDict) ->
- Subtypes =
- constraints_to_subs(Constrs, MFA, RecDict, ExpTypes, AllRecords, VarDict, []),
- insert_constraints(Subtypes).
-
-constraints_to_subs([], _MFA, _RecDict, _ExpTypes, _AllRecords, _VarDict, Acc) ->
- Acc;
-constraints_to_subs([C|Rest], MFA, RecDict, ExpTypes, AllRecords, VarDict, Acc) ->
- {T1, Form2} = C,
- T2 = final_form(Form2, ExpTypes, MFA, AllRecords, VarDict),
+ C1 = erl_types:t_check_record_fields(Form, ExpTypes, Site, AllRecords,
+ VarTable, Cache),
+ erl_types:t_from_form(Form, ExpTypes, Site, AllRecords, VarTable, C1).
+
+constraints_to_dict(Constrs, MFA, RecDict, ExpTypes, AllRecords,
+ VarTab, Cache) ->
+ {Subtypes, NewCache} =
+ constraints_to_subs(Constrs, MFA, RecDict, ExpTypes, AllRecords,
+ VarTab, Cache, []),
+ {insert_constraints(Subtypes), NewCache}.
+
+constraints_to_subs([], _MFA, _RecDict, _ExpTypes, _AllRecords,
+ _VarTab, Cache, Acc) ->
+ {Acc, Cache};
+constraints_to_subs([{T1, Form2}|Rest], MFA, RecDict, ExpTypes, AllRecords,
+ VarTab, Cache, Acc) ->
+ {T2, NewCache} =
+ final_form(Form2, ExpTypes, MFA, AllRecords, VarTab, Cache),
NewAcc = [{subtype, T1, T2}|Acc],
- constraints_to_subs(Rest, MFA, RecDict, ExpTypes, AllRecords, VarDict, NewAcc).
+ constraints_to_subs(Rest, MFA, RecDict, ExpTypes, AllRecords,
+ VarTab, NewCache, NewAcc).
%% Replaces variables with '_' when necessary to break up cycles among
%% the constraints.
@@ -647,6 +679,7 @@ get_invalid_contract_warnings_funs([{MFA, {FileLine, Contract, _Xtra}}|Left],
{value, {Ret, Args}} ->
Sig = erl_types:t_fun(Args, Ret),
{M, _F, _A} = MFA,
+ %% io:format("MFA ~p~n", [MFA]),
Opaques = FindOpaques(M),
{File, Line} = FileLine,
WarningInfo = {File, Line, MFA},
@@ -795,7 +828,7 @@ is_remote_types_related(Contract, CSig, Sig, MFA, RecDict) ->
t_from_forms_without_remote([{FType, []}], MFA, RecDict) ->
Site = {spec, MFA},
- Type1 = erl_types:t_from_form_without_remote(FType, Site, RecDict),
+ {Type1, _} = erl_types:t_from_form_without_remote(FType, Site, RecDict),
{ok, erl_types:subst_all_vars_to_any(Type1)};
t_from_forms_without_remote([{_FType, _Constrs}], _MFA, _RecDict) ->
%% 'When' constraints
diff --git a/lib/dialyzer/src/dialyzer_utils.erl b/lib/dialyzer/src/dialyzer_utils.erl
index 42a83e8af6..76a5cf3d0b 100644
--- a/lib/dialyzer/src/dialyzer_utils.erl
+++ b/lib/dialyzer/src/dialyzer_utils.erl
@@ -195,6 +195,7 @@ get_core_from_abstract_code(AbstrCode, Opts) ->
%% ============================================================================
-type type_table() :: erl_types:type_table().
+-type mod_records() :: dict:dict(module(), type_table()).
-spec get_record_and_type_info(abstract_code()) ->
{'ok', type_table()} | {'error', string()}.
@@ -301,92 +302,117 @@ get_record_fields([], _RecDict, Acc) ->
process_record_remote_types(CServer) ->
TempRecords = dialyzer_codeserver:get_temp_records(CServer),
ExpTypes = dialyzer_codeserver:get_exported_types(CServer),
- TempRecords1 = process_opaque_types0(TempRecords, ExpTypes),
+ Cache = erl_types:cache__new(),
+ {TempRecords1, Cache1} =
+ process_opaque_types0(TempRecords, ExpTypes, Cache),
+ %% A cache (not the field type cache) is used for speeding things up a bit.
+ VarTable = erl_types:var_table__new(),
ModuleFun =
- fun(Module, Record) ->
+ fun({Module, Record}, C0) ->
RecordFun =
- fun(Key, Value) ->
+ fun({Key, Value}, C2) ->
case Key of
{record, Name} ->
FieldFun =
- fun(Arity, Fields) ->
+ fun({Arity, Fields}, C4) ->
Site = {record, {Module, Name, Arity}},
- [{FieldName, Field,
- erl_types:t_from_form(Field,
- ExpTypes,
- Site,
- TempRecords1)}
- || {FieldName, Field, _} <- Fields]
+ {Fields1, C7} =
+ lists:mapfoldl(fun({FieldName, Field, _}, C5) ->
+ {FieldT, C6} =
+ erl_types:t_from_form
+ (Field, ExpTypes, Site,
+ TempRecords1, VarTable,
+ C5),
+ {{FieldName, Field, FieldT}, C6}
+ end, C4, Fields),
+ {{Arity, Fields1}, C7}
end,
{FileLine, Fields} = Value,
- {FileLine, orddict:map(FieldFun, Fields)};
- _Other -> Value
+ {FieldsList, C3} =
+ lists:mapfoldl(FieldFun, C2, orddict:to_list(Fields)),
+ {{Key, {FileLine, orddict:from_list(FieldsList)}}, C3};
+ _Other -> {{Key, Value}, C2}
end
end,
- dict:map(RecordFun, Record)
+ {RecordList, C1} =
+ lists:mapfoldl(RecordFun, C0, dict:to_list(Record)),
+ {{Module, dict:from_list(RecordList)}, C1}
end,
- NewRecords = dict:map(ModuleFun, TempRecords1),
- ok = check_record_fields(NewRecords, ExpTypes),
+ {NewRecordsList, C1} =
+ lists:mapfoldl(ModuleFun, Cache1, dict:to_list(TempRecords1)),
+ NewRecords = dict:from_list(NewRecordsList),
+ _C8 = check_record_fields(NewRecords, ExpTypes, C1),
dialyzer_codeserver:finalize_records(NewRecords, CServer).
%% erl_types:t_from_form() substitutes the declaration of opaque types
%% for the expanded type in some cases. To make sure the initial type,
%% any(), is not used, the expansion is done twice.
%% XXX: Recursive opaque types are not handled well.
-process_opaque_types0(TempRecords0, TempExpTypes) ->
- TempRecords1 = process_opaque_types(TempRecords0, TempExpTypes),
- process_opaque_types(TempRecords1, TempExpTypes).
+process_opaque_types0(TempRecords0, TempExpTypes, Cache) ->
+ {TempRecords1, NewCache} =
+ process_opaque_types(TempRecords0, TempExpTypes, Cache),
+ process_opaque_types(TempRecords1, TempExpTypes, NewCache).
-process_opaque_types(TempRecords, TempExpTypes) ->
+process_opaque_types(TempRecords, TempExpTypes, Cache) ->
+ VarTable = erl_types:var_table__new(),
ModuleFun =
- fun(Module, Record) ->
+ fun({Module, Record}, C0) ->
RecordFun =
- fun(Key, Value) ->
+ fun({Key, Value}, C2) ->
case Key of
{opaque, Name, NArgs} ->
{{_Module, _FileLine, Form, _ArgNames}=F, _Type} = Value,
Site = {type, {Module, Name, NArgs}},
- Type = erl_types:t_from_form(Form, TempExpTypes, Site,
- TempRecords),
- {F, Type};
- _Other -> Value
+ {Type, C3} =
+ erl_types:t_from_form(Form, TempExpTypes, Site,
+ TempRecords, VarTable, C2),
+ {{Key, {F, Type}}, C3};
+ _Other -> {{Key, Value}, C2}
end
end,
- dict:map(RecordFun, Record)
+ {RecordList, C1} =
+ lists:mapfoldl(RecordFun, C0, dict:to_list(Record)),
+ {{Module, dict:from_list(RecordList)}, C1}
+ %% dict:map(RecordFun, Record)
end,
- dict:map(ModuleFun, TempRecords).
+ {TempRecordList, NewCache} =
+ lists:mapfoldl(ModuleFun, Cache, dict:to_list(TempRecords)),
+ {dict:from_list(TempRecordList), NewCache}.
+ %% dict:map(ModuleFun, TempRecords).
-check_record_fields(Records, TempExpTypes) ->
+check_record_fields(Records, TempExpTypes, Cache) ->
+ VarTable = erl_types:var_table__new(),
CheckFun =
- fun({Module, Element}) ->
- CheckForm = fun(Form, Site) ->
- erl_types:t_check_record_fields(Form, TempExpTypes,
- Site, Records)
+ fun({Module, Element}, C0) ->
+ CheckForm = fun(Form, Site, C1) ->
+ erl_types:t_check_record_fields(Form, TempExpTypes,
+ Site, Records,
+ VarTable, C1)
end,
ElemFun =
- fun({Key, Value}) ->
+ fun({Key, Value}, C2) ->
case Key of
{record, Name} ->
FieldFun =
- fun({Arity, Fields}) ->
+ fun({Arity, Fields}, C3) ->
Site = {record, {Module, Name, Arity}},
- _ = [ok = CheckForm(Field, Site) ||
- {_, Field, _} <- Fields],
- ok
+ lists:foldl(fun({_, Field, _}, C4) ->
+ CheckForm(Field, Site, C4)
+ end, C3, Fields)
end,
{FileLine, Fields} = Value,
- Fun = fun() -> lists:foreach(FieldFun, Fields) end,
+ Fun = fun() -> lists:foldl(FieldFun, C2, Fields) end,
msg_with_position(Fun, FileLine);
{_OpaqueOrType, Name, NArgs} ->
Site = {type, {Module, Name, NArgs}},
{{_Module, FileLine, Form, _ArgNames}, _Type} = Value,
- Fun = fun() -> ok = CheckForm(Form, Site) end,
+ Fun = fun() -> CheckForm(Form, Site, C2) end,
msg_with_position(Fun, FileLine)
end
end,
- lists:foreach(ElemFun, dict:to_list(Element))
+ lists:foldl(ElemFun, C0, dict:to_list(Element))
end,
- lists:foreach(CheckFun, dict:to_list(Records)).
+ lists:foldl(CheckFun, Cache, dict:to_list(Records)).
msg_with_position(Fun, FileLine) ->
try Fun()
@@ -398,7 +424,7 @@ msg_with_position(Fun, FileLine) ->
throw({error, NewMsg})
end.
--spec merge_records(type_table(), type_table()) -> type_table().
+-spec merge_records(mod_records(), mod_records()) -> mod_records().
merge_records(NewRecords, OldRecords) ->
dict:merge(fun(_Key, NewVal, _OldVal) -> NewVal end, NewRecords, OldRecords).
diff --git a/lib/hipe/cerl/erl_types.erl b/lib/hipe/cerl/erl_types.erl
index 208f439388..9a94132b4c 100644
--- a/lib/hipe/cerl/erl_types.erl
+++ b/lib/hipe/cerl/erl_types.erl
@@ -80,11 +80,9 @@
t_float/0,
t_var_names/1,
t_form_to_string/1,
- t_from_form/4,
- t_from_form/5,
+ t_from_form/6,
t_from_form_without_remote/3,
- t_check_record_fields/4,
- t_check_record_fields/5,
+ t_check_record_fields/6,
t_from_range/2,
t_from_range_unsafe/2,
t_from_term/1,
@@ -221,6 +219,7 @@
is_erl_type/1,
atom_to_string/1,
var_table__new/0,
+ cache__new/0,
map_pairwise_merge/3
]).
@@ -237,7 +236,7 @@
-export([t_is_identifier/1]).
-endif.
--export_type([erl_type/0, opaques/0, type_table/0, var_table/0]).
+-export_type([erl_type/0, opaques/0, type_table/0, var_table/0, cache/0]).
%%-define(DEBUG, true).
@@ -375,10 +374,10 @@
-type opaques() :: [erl_type()] | 'universe'.
-type record_key() :: {'record', atom()}.
--type type_key() :: {'type' | 'opaque', atom(), arity()}.
+-type type_key() :: {'type' | 'opaque', mfa()}.
-type record_value() :: [{atom(), erl_parse:abstract_expr(), erl_type()}].
-type type_value() :: {{module(), {file:name(), erl_anno:line()},
- erl_parse:abstr_type(), ArgNames :: [atom()]},
+ erl_parse:abstract_type(), ArgNames :: [atom()]},
erl_type()}.
-type type_table() :: dict:dict(record_key() | type_key(),
record_value() | type_value()).
@@ -759,8 +758,8 @@ t_opaque_from_records(RecDict) ->
{{Module, _FileLine, _Form, ArgNames}, _Type}) ->
%% Args = args_to_types(ArgNames),
%% List = lists:zip(ArgNames, Args),
- %% TmpVarDict = dict:from_list(List),
- %% Rep = t_from_form(Type, RecDict, TmpVarDict),
+ %% TmpVarTab = maps:to_list(List),
+ %% Rep = t_from_form(Type, RecDict, TmpVarTab),
Rep = t_any(), % not used for anything right now
Args = [t_any() || _ <- ArgNames],
t_opaque(Module, Name, Args, Rep)
@@ -1771,7 +1770,8 @@ mapdict_insert(E={_,_,_}, T) -> [E|T].
t_map_mandatoriness(), erl_type())
-> t_map_pair() | false),
erl_type(), erl_type()) -> t_map_dict().
-map_pairwise_merge(F, ?map(APairs, ADefK, ADefV), ?map(BPairs, BDefK, BDefV)) ->
+map_pairwise_merge(F, ?map(APairs, ADefK, ADefV),
+ ?map(BPairs, BDefK, BDefV)) ->
map_pairwise_merge(F, APairs, ADefK, ADefV, BPairs, BDefK, BDefV).
map_pairwise_merge(_, [], _, _, [], _, _) -> [];
@@ -4416,32 +4416,30 @@ mod_name(Mod, Name) ->
-type type_names() :: [type_key() | record_key()].
--type mta() :: {module(), atom(), arity()}.
--type mra() :: {module(), atom(), arity()}.
--type site() :: {'type', mta()} | {'spec', mfa()} | {'record', mra()}.
--type cache() :: #{{module(), parse_form()} => erl_type()}.
+-type mta() :: {module(), atom(), arity()}.
+-type mra() :: {module(), atom(), arity()}.
+-type site() :: {'type', mta()} | {'spec', mfa()} | {'record', mra()}.
+-type cache_key() :: {module(), atom(), expand_depth(),
+ [erl_type()], type_names()}.
+-opaque cache() :: #{cache_key() => {erl_type(), expand_limit()}}.
--spec t_from_form(parse_form(), sets:set(mfa()),
- site(), mod_records()) -> erl_type().
+-spec t_from_form(parse_form(), sets:set(mfa()), site(), mod_records(),
+ var_table(), cache()) -> {erl_type(), cache()}.
-t_from_form(Form, ExpTypes, Site, RecDict) ->
- t_from_form(Form, ExpTypes, Site, RecDict, var_table__new()).
-
--spec t_from_form(parse_form(), sets:set(mfa()),
- site(), mod_records(), var_table()) -> erl_type().
-
-t_from_form(Form, ExpTypes, Site, RecDict, VarDict) ->
- t_from_form1(Form, ExpTypes, Site, RecDict, VarDict).
+t_from_form(Form, ExpTypes, Site, RecDict, VarTab, Cache) ->
+ t_from_form1(Form, ExpTypes, Site, RecDict, VarTab, Cache).
%% Replace external types with with none().
-spec t_from_form_without_remote(parse_form(), site(), type_table()) ->
- erl_type().
+ {erl_type(), cache()}.
t_from_form_without_remote(Form, Site, TypeTable) ->
Module = site_module(Site),
RecDict = dict:from_list([{Module, TypeTable}]),
ExpTypes = replace_by_none,
- t_from_form1(Form, ExpTypes, Site, RecDict, maps:new()).
+ VarTab = var_table__new(),
+ Cache = cache__new(),
+ t_from_form1(Form, ExpTypes, Site, RecDict, VarTab, Cache).
%% REC_TYPE_LIMIT is used for limiting the depth of recursive types.
%% EXPAND_LIMIT is used for limiting the size of types by
@@ -4454,52 +4452,48 @@ t_from_form_without_remote(Form, Site, TypeTable) ->
-type expand_depth() :: integer().
+-record(from_form, {site :: site(),
+ xtypes :: sets:set(mfa()) | 'replace_by_none',
+ mrecs :: mod_records(),
+ vtab :: var_table(),
+ tnames :: type_names()}).
+
-spec t_from_form1(parse_form(), sets:set(mfa()) | 'replace_by_none',
- site(), mod_records(), var_table()) ->
- erl_type().
+ site(), mod_records(), var_table(), cache()) ->
+ {erl_type(), cache()}.
-t_from_form1(Form, ET, Site, MR, V) ->
+t_from_form1(Form, ET, Site, MR, V, C) ->
TypeNames = initial_typenames(Site),
- D0 = ?EXPAND_DEPTH,
- {T1, L1} = t_from_form2(Form, TypeNames, ET, Site, MR, V, D0),
+ State = #from_form{site = Site,
+ xtypes = ET,
+ mrecs = MR,
+ vtab = V,
+ tnames = TypeNames},
+ L = ?EXPAND_LIMIT,
+ {T1, L1, C1} = from_form(Form, State, ?EXPAND_DEPTH, L, C),
if
L1 =< 0 ->
- t_from_form_loop(Form, TypeNames, ET, Site, MR, V, 1, ?EXPAND_LIMIT);
- true -> T1
+ from_form_loop(Form, State, 1, L, C1);
+ true ->
+ {T1, C1}
end.
initial_typenames({type, _MTA}=Site) -> [Site];
initial_typenames({spec, _MFA}) -> [];
initial_typenames({record, _MRA}) -> [].
-t_from_form_loop(Form, TypeNames, ET, Site, MR, V, D, L0) ->
- {T1, L1} = t_from_form2(Form, TypeNames, ET, Site, MR, V, D),
- Delta = L0 - L1,
+from_form_loop(Form, State, D, Limit, C) ->
+ {T1, L1, C1} = from_form(Form, State, D, Limit, C),
+ Delta = Limit - L1,
if
%% Save some time by assuming next depth will exceed the limit.
- Delta * 8 > L0 -> T1;
+ Delta * 8 > Limit ->
+ {T1, C1};
true ->
D1 = D + 1,
- t_from_form_loop(Form, TypeNames, ET, Site, MR, V, D1, L1)
+ from_form_loop(Form, State, D1, Limit, C1)
end.
--record(from_form, {site :: site(),
- xtypes :: sets:set(mfa()) | 'replace_by_none',
- mrecs :: mod_records(),
- vtab :: var_table(),
- tnames :: type_names()}).
-
-t_from_form2(Form, TypeNames, ET, Site, MR, V, D) ->
- L = ?EXPAND_LIMIT,
- State = #from_form{site = Site,
- xtypes = ET,
- mrecs = MR,
- vtab = V,
- tnames = TypeNames},
- C = #{},
- {T, L1, _C1} = from_form(Form, State, D, L, C),
- {T, L1}.
-
-spec from_form(parse_form(),
#from_form{},
expand_depth(),
@@ -4578,8 +4572,8 @@ from_form({type, _L, function, []}, _S, _D, L, C) ->
from_form({type, _L, 'fun', []}, _S, _D, L, C) ->
{t_fun(), L, C};
from_form({type, _L, 'fun', [{type, _, any}, Range]}, S, D, L, C) ->
- {T, L1} = from_form(Range, S, D - 1, L - 1, C),
- {t_fun(T), L1, C};
+ {T, L1, C1} = from_form(Range, S, D - 1, L - 1, C),
+ {t_fun(T), L1, C1};
from_form({type, _L, 'fun', [{type, _, product, Domain}, Range]},
S, D, L, C) ->
{Dom1, L1, C1} = list_from_form(Domain, S, D, L, C),
@@ -4720,48 +4714,54 @@ builtin_type(Name, Type, S, D, L, C) ->
end.
type_from_form(Name, Args, S, D, L, C) ->
- #from_form{site = Site0, mrecs = MR, tnames = TypeNames} = S,
+ #from_form{site = Site, mrecs = MR, tnames = TypeNames} = S,
ArgsLen = length(Args),
- Module = site_module(Site0),
- {ok, R} = dict:find(Module, MR),
+ Module = site_module(Site),
TypeName = {type, {Module, Name, ArgsLen}},
+ case can_unfold_more(TypeName, TypeNames) of
+ true ->
+ {ok, R} = dict:find(Module, MR),
+ type_from_form1(Name, Args, ArgsLen, R, TypeName, TypeNames,
+ S, D, L, C);
+ false ->
+ {t_any(), L, C}
+ end.
+
+type_from_form1(Name, Args, ArgsLen, R, TypeName, TypeNames, S, D, L, C) ->
case lookup_type(Name, ArgsLen, R) of
- {type, {{Module, _FileName, Form, ArgNames}, _Type}} ->
- case can_unfold_more(TypeName, TypeNames) of
- true ->
- NewTypeNames = [TypeName|TypeNames],
- {ArgTypes, L1, C1} = list_from_form(Args, S, D, L, C),
- List = lists:zip(ArgNames, ArgTypes),
- TmpV = maps:from_list(List),
- S1 = S#from_form{site = TypeName,
- tnames = NewTypeNames,
- vtab = TmpV},
- from_form(Form, S1, D, L1, C1);
- false ->
- {t_any(), L, C}
- end;
- {opaque, {{Module, _FileName, Form, ArgNames}, Type}} ->
- case can_unfold_more(TypeName, TypeNames) of
- true ->
- NewTypeNames = [TypeName|TypeNames],
- S1 = S#from_form{tnames = NewTypeNames},
- {ArgTypes, L1, C1} = list_from_form(Args, S1, D, L, C),
+ {Tag, {{Module, _FileName, Form, ArgNames}, Type}} ->
+ NewTypeNames = [TypeName|TypeNames],
+ S1 = S#from_form{tnames = NewTypeNames},
+ {ArgTypes, L1, C1} = list_from_form(Args, S1, D, L, C),
+ CKey = cache_key(Module, Name, ArgTypes, TypeNames, D),
+ case cache_find(CKey, C) of
+ {CachedType, DeltaL} ->
+ {CachedType, L1 - DeltaL, C};
+ error ->
List = lists:zip(ArgNames, ArgTypes),
TmpV = maps:from_list(List),
S2 = S1#from_form{site = TypeName, vtab = TmpV},
- {Rep, L2, C2} = from_form(Form, S2, D, L1, C1),
- Rep1 = choose_opaque_type(Rep, Type),
- Rep2 = case cannot_have_opaque(Rep1, TypeName, TypeNames) of
- true -> Rep1;
- false ->
- ArgTypes2 = subst_all_vars_to_any_list(ArgTypes),
- t_opaque(Module, Name, ArgTypes2, Rep1)
- end,
- {Rep2, L2, C2};
- false -> {t_any(), L, C}
+ {NewType, L3, C3} =
+ case Tag of
+ type ->
+ from_form(Form, S2, D, L1, C1);
+ opaque ->
+ {Rep, L2, C2} = from_form(Form, S2, D, L1, C1),
+ Rep1 = choose_opaque_type(Rep, Type),
+ Rep2 = case cannot_have_opaque(Rep1, TypeName, TypeNames) of
+ true -> Rep1;
+ false ->
+ ArgTypes2 = subst_all_vars_to_any_list(ArgTypes),
+ t_opaque(Module, Name, ArgTypes2, Rep1)
+ end,
+ {Rep2, L2, C2}
+ end,
+ C4 = cache_put(CKey, NewType, L1 - L3, C3),
+ {NewType, L3, C4}
end;
error ->
- Msg = io_lib:format("Unable to find type ~w/~w\n", [Name, ArgsLen]),
+ Msg = io_lib:format("Unable to find type ~w/~w\n",
+ [Name, ArgsLen]),
throw({error, Msg})
end.
@@ -4778,51 +4778,15 @@ remote_from_form(RemMod, Name, Args, S, D, L, C) ->
self() ! {self(), ext_types, MFA},
{t_any(), L, C};
{ok, RemDict} ->
- RemType = {type, MFA},
case sets:is_element(MFA, ET) of
true ->
- case lookup_type(Name, ArgsLen, RemDict) of
- {type, {{_Mod, _FileLine, Form, ArgNames}, _Type}} ->
- case can_unfold_more(RemType, TypeNames) of
- true ->
- NewTypeNames = [RemType|TypeNames],
- S1 = S#from_form{tnames = NewTypeNames},
- {ArgTypes, L1, C1} = list_from_form(Args, S1, D, L, C),
- List = lists:zip(ArgNames, ArgTypes),
- TmpVarTab = maps:from_list(List),
- S2 = S1#from_form{site = RemType, vtab = TmpVarTab},
- from_form(Form, S2, D, L1, C1);
- false ->
- {t_any(), L, C}
- end;
- {opaque, {{Mod, _FileLine, Form, ArgNames}, Type}} ->
- case can_unfold_more(RemType, TypeNames) of
- true ->
- NewTypeNames = [RemType|TypeNames],
- S1 = S#from_form{tnames = NewTypeNames},
- {ArgTypes, L1, C1} = list_from_form(Args, S1, D, L, C),
- List = lists:zip(ArgNames, ArgTypes),
- TmpVarTab = maps:from_list(List),
- S2 = S1#from_form{site = RemType, vtab = TmpVarTab},
- {NewRep, L2, C2} = from_form(Form, S2, D, L1, C1),
- NewRep1 = choose_opaque_type(NewRep, Type),
- NewRep2 =
- case
- cannot_have_opaque(NewRep1, RemType, TypeNames)
- of
- true -> NewRep1;
- false ->
- ArgTypes2 = subst_all_vars_to_any_list(ArgTypes),
- t_opaque(Mod, Name, ArgTypes2, NewRep1)
- end,
- {NewRep2, L2, C2};
- false ->
- {t_any(), L, C}
- end;
- error ->
- Msg = io_lib:format("Unable to find remote type ~w:~w()\n",
- [RemMod, Name]),
- throw({error, Msg})
+ RemType = {type, MFA},
+ case can_unfold_more(RemType, TypeNames) of
+ true ->
+ remote_from_form1(RemMod, Name, Args, ArgsLen, RemDict,
+ RemType, TypeNames, S, D, L, C);
+ false ->
+ {t_any(), L, C}
end;
false ->
self() ! {self(), ext_types, {RemMod, Name, ArgsLen}},
@@ -4831,6 +4795,47 @@ remote_from_form(RemMod, Name, Args, S, D, L, C) ->
end
end.
+remote_from_form1(RemMod, Name, Args, ArgsLen, RemDict, RemType, TypeNames,
+ S, D, L, C) ->
+ case lookup_type(Name, ArgsLen, RemDict) of
+ {Tag, {{Mod, _FileLine, Form, ArgNames}, Type}} ->
+ NewTypeNames = [RemType|TypeNames],
+ S1 = S#from_form{tnames = NewTypeNames},
+ {ArgTypes, L1, C1} = list_from_form(Args, S1, D, L, C),
+ CKey = cache_key(RemMod, Name, ArgTypes, TypeNames, D),
+ %% case error of
+ case cache_find(CKey, C) of
+ {CachedType, DeltaL} ->
+ {CachedType, L - DeltaL, C};
+ error ->
+ List = lists:zip(ArgNames, ArgTypes),
+ TmpVarTab = maps:from_list(List),
+ S2 = S1#from_form{site = RemType, vtab = TmpVarTab},
+ {NewType, L3, C3} =
+ case Tag of
+ type ->
+ from_form(Form, S2, D, L1, C1);
+ opaque ->
+ {NewRep, L2, C2} = from_form(Form, S2, D, L1, C1),
+ NewRep1 = choose_opaque_type(NewRep, Type),
+ NewRep2 =
+ case cannot_have_opaque(NewRep1, RemType, TypeNames) of
+ true -> NewRep1;
+ false ->
+ ArgTypes2 = subst_all_vars_to_any_list(ArgTypes),
+ t_opaque(Mod, Name, ArgTypes2, NewRep1)
+ end,
+ {NewRep2, L2, C2}
+ end,
+ C4 = cache_put(CKey, NewType, L1 - L3, C3),
+ {NewType, L3, C4}
+ end;
+ error ->
+ Msg = io_lib:format("Unable to find remote type ~w:~w()\n",
+ [RemMod, Name]),
+ throw({error, Msg})
+ end.
+
subst_all_vars_to_any_list(Types) ->
[subst_all_vars_to_any(Type) || Type <- Types].
@@ -4985,79 +4990,118 @@ promote_to_mand(MKs, [E={K,_,V}|T]) ->
end|promote_to_mand(MKs, T)].
-spec t_check_record_fields(parse_form(), sets:set(mfa()), site(),
- mod_records()) -> ok.
+ mod_records(), var_table(), cache()) -> cache().
-t_check_record_fields(Form, ExpTypes, Site, RecDict) ->
- t_check_record_fields(Form, ExpTypes, Site, RecDict, var_table__new()).
+t_check_record_fields(Form, ExpTypes, Site, RecDict, VarTable, Cache) ->
+ State = #from_form{site = Site,
+ xtypes = ExpTypes,
+ mrecs = RecDict,
+ vtab = VarTable,
+ tnames = []},
+ check_record_fields(Form, State, Cache).
--spec t_check_record_fields(parse_form(), sets:set(mfa()), site(),
- mod_records(), var_table()) -> ok.
+-spec check_record_fields(parse_form(), #from_form{}, cache()) -> cache().
%% If there is something wrong with parse_form()
%% throw({error, io_lib:chars()} is called.
-t_check_record_fields({var, _L, _}, _ET, _S, _MR, _V) -> ok;
-t_check_record_fields({ann_type, _L, [_Var, Type]}, ET, S, MR, V) ->
- t_check_record_fields(Type, ET, S, MR, V);
-t_check_record_fields({paren_type, _L, [Type]}, ET, S, MR, V) ->
- t_check_record_fields(Type, ET, S, MR, V);
-t_check_record_fields({remote_type, _L, [{atom, _, _}, {atom, _, _}, Args]},
- ET, S, MR, V) ->
- list_check_record_fields(Args, ET, S, MR, V);
-t_check_record_fields({atom, _L, _}, _ET, _S, _MR, _V) -> ok;
-t_check_record_fields({integer, _L, _}, _ET, _S, _MR, _V) -> ok;
-t_check_record_fields({op, _L, _Op, _Arg}, _ET, _S, _MR, _V) -> ok;
-t_check_record_fields({op, _L, _Op, _Arg1, _Arg2}, _ET, _S, _MR, _V) -> ok;
-t_check_record_fields({type, _L, tuple, any}, _ET, _S, _MR, _V) -> ok;
-t_check_record_fields({type, _L, map, any}, _ET, _S, _MR, _V) -> ok;
-t_check_record_fields({type, _L, binary, [_Base, _Unit]}, _ET, _S, _MR, _V) ->
- ok;
-t_check_record_fields({type, _L, 'fun', [{type, _, any}, Range]},
- ET, S, MR, V) ->
- t_check_record_fields(Range, ET, S, MR, V);
-t_check_record_fields({type, _L, range, [_From, _To]}, _ET, _S, _MR, _V) ->
- ok;
-t_check_record_fields({type, _L, record, [Name|Fields]}, ET, S, MR, V) ->
- check_record(Name, Fields, ET, S, MR, V);
-t_check_record_fields({type, _L, _, Args}, ET, S, MR, V) ->
- list_check_record_fields(Args, ET, S, MR, V);
-t_check_record_fields({user_type, _L, _Name, Args}, ET, S, MR, V) ->
- list_check_record_fields(Args, ET, S, MR, V).
-
-check_record({atom, _, Name}, ModFields, ET, Site, MR, V) ->
+check_record_fields({var, _L, _}, _S, C) -> C;
+check_record_fields({ann_type, _L, [_Var, Type]}, S, C) ->
+ check_record_fields(Type, S, C);
+check_record_fields({paren_type, _L, [Type]}, S, C) ->
+ check_record_fields(Type, S, C);
+check_record_fields({remote_type, _L, [{atom, _, _}, {atom, _, _}, Args]},
+ S, C) ->
+ list_check_record_fields(Args, S, C);
+check_record_fields({atom, _L, _}, _S, C) -> C;
+check_record_fields({integer, _L, _}, _S, C) -> C;
+check_record_fields({op, _L, _Op, _Arg}, _S, C) -> C;
+check_record_fields({op, _L, _Op, _Arg1, _Arg2}, _S, C) -> C;
+check_record_fields({type, _L, tuple, any}, _S, C) -> C;
+check_record_fields({type, _L, map, any}, _S, C) -> C;
+check_record_fields({type, _L, binary, [_Base, _Unit]}, _S, C) -> C;
+check_record_fields({type, _L, 'fun', [{type, _, any}, Range]}, S, C) ->
+ check_record_fields(Range, S, C);
+check_record_fields({type, _L, range, [_From, _To]}, _S, C) -> C;
+check_record_fields({type, _L, record, [Name|Fields]}, S, C) ->
+ check_record(Name, Fields, S, C);
+check_record_fields({type, _L, _, Args}, S, C) ->
+ list_check_record_fields(Args, S, C);
+check_record_fields({user_type, _L, _Name, Args}, S, C) ->
+ list_check_record_fields(Args, S, C).
+
+check_record({atom, _, Name}, ModFields, S, C) ->
+ #from_form{site = Site, mrecs = MR} = S,
M = site_module(Site),
{ok, R} = dict:find(M, MR),
{ok, DeclFields} = lookup_record(Name, R),
- case check_fields(Name, ModFields, DeclFields, ET, Site, MR, V) of
+ case check_fields(Name, ModFields, DeclFields, S, C) of
{error, FieldName} ->
throw({error, io_lib:format("Illegal declaration of #~w{~w}\n",
[Name, FieldName])});
- ok -> ok
+ C1 -> C1
end.
check_fields(RecName, [{type, _, field_type, [{atom, _, Name}, Abstr]}|Left],
- DeclFields, ET, Site0, MR, V) ->
+ DeclFields, S, C) ->
+ #from_form{site = Site0, xtypes = ET, mrecs = MR, vtab = V} = S,
M = site_module(Site0),
Site = {record, {M, RecName, length(DeclFields)}},
- Type = t_from_form(Abstr, ET, Site, MR, V),
+ {Type, C1} = t_from_form(Abstr, ET, Site, MR, V, C),
{Name, _, DeclType} = lists:keyfind(Name, 1, DeclFields),
TypeNoVars = subst_all_vars_to_any(Type),
case t_is_subtype(TypeNoVars, DeclType) of
false -> {error, Name};
- true -> check_fields(RecName, Left, DeclFields, ET, Site0, MR, V)
+ true -> check_fields(RecName, Left, DeclFields, S, C1)
end;
-check_fields(_RecName, [], _Decl, _ET, _Site, _MR, _V) ->
- ok.
+check_fields(_RecName, [], _Decl, _S, C) ->
+ C.
-list_check_record_fields([], _ET, _S, _MR, _V) ->
- ok;
-list_check_record_fields([H|Tail], ET, S, MR, V) ->
- ok = t_check_record_fields(H, ET, S, MR, V),
- list_check_record_fields(Tail, ET, S, MR, V).
+list_check_record_fields([], _S, C) ->
+ C;
+list_check_record_fields([H|Tail], S, C) ->
+ C1 = check_record_fields(H, S, C),
+ list_check_record_fields(Tail, S, C1).
site_module({_, {Module, _, _}}) ->
Module.
+-spec cache__new() -> cache().
+
+cache__new() ->
+ maps:new().
+
+-spec cache_key(module(), atom(), [erl_type()],
+ type_names(), expand_depth()) -> cache_key().
+
+%% If TypeNames is left out from the key, the cache is smaller, and
+%% the form-to-type translation is faster. But it would be a shame if,
+%% for example, any() is used, where a more complex type should be
+%% used. There is also a slight risk of creating unnecessarily big
+%% types.
+
+cache_key(Module, Name, ArgTypes, TypeNames, D) ->
+ {Module, Name, D, ArgTypes, TypeNames}.
+
+-spec cache_find(cache_key(), cache()) ->
+ {erl_type(), expand_limit()} | 'error'.
+
+cache_find(Key, Cache) ->
+ case maps:find(Key, Cache) of
+ {ok, Value} ->
+ Value;
+ error ->
+ error
+ end.
+
+-spec cache_put(cache_key(), erl_type(), expand_limit(), cache()) -> cache().
+
+cache_put(_Key, _Type, DeltaL, Cache) when DeltaL < 0 ->
+ %% The type is truncated; do not reuse it.
+ Cache;
+cache_put(Key, Type, DeltaL, Cache) ->
+ maps:put(Key, {Type, DeltaL}, Cache).
+
-spec t_var_names([erl_type()]) -> [atom()].
t_var_names([{var, _, Name}|L]) when L =/= '_' ->
@@ -5157,8 +5201,8 @@ t_form_to_string({type, _L, Name, []} = T) ->
D0 = dict:new(),
MR = dict:from_list([{M, D0}]),
Site = {type, {M,Name,0}},
- V = #{},
- C = #{},
+ V = var_table__new(),
+ C = cache__new(),
State = #from_form{site = Site,
xtypes = sets:new(),
mrecs = MR,