%%
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 1996-2012. All Rights Reserved.
%%
%% The contents of this file are subject to the Erlang Public License,
%% Version 1.1, (the "License"); you may not use this file except in
%% compliance with the License. You should have received a copy of the
%% Erlang Public License along with this software. If not, it can be
%% retrieved online at http://www.erlang.org/.
%%
%% Software distributed under the License is distributed on an "AS IS"
%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
%% the License for the specific language governing rights and limitations
%% under the License.
%%
%% %CopyrightEnd%
%%
%% Purpose : Expand some source Erlang constructions. This is part of the
%% pre-processing phase.
%% N.B. Although structs (tagged tuples) are not yet allowed in the
%% language there is code included in pattern/2 and expr/3 (commented out)
%% that handles them by transforming them to tuples.
-module(sys_pre_expand).
%% Main entry point.
-export([module/2]).
-import(ordsets, [from_list/1,union/2]).
-import(lists, [member/2,foldl/3,foldr/3]).
-include("../include/erl_bits.hrl").
-record(expand, {module=[], %Module name
exports=[], %Exports
imports=[], %Imports
compile=[], %Compile flags
attributes=[], %Attributes
callbacks=[], %Callbacks
defined, %Defined functions (gb_set)
vcount=0, %Variable counter
func=[], %Current function
arity=[], %Arity for current function
fcount=0, %Local fun count
bitdefault,
bittypes
}).
%% module(Forms, CompileOptions)
%% {ModuleName,Exports,TransformedForms,CompileOptions'}
%% Expand the forms in one module. N.B.: the lists of predefined
%% exports and imports are really ordsets!
%% CompileOptions is augmented with options from -compile attributes.
module(Fs0, Opts0) ->
%% Expand records. Normalise guard tests.
Fs = erl_expand_records:module(Fs0, Opts0),
Opts = compiler_options(Fs) ++ Opts0,
%% Set pre-defined exported functions.
PreExp = [{module_info,0},{module_info,1}],
%% Build initial expand record.
St0 = #expand{exports=PreExp,
compile=Opts,
defined=PreExp,
bitdefault = erl_bits:system_bitdefault(),
bittypes = erl_bits:system_bittypes()
},
%% Expand the functions.
{Tfs,St1} = forms(Fs, define_functions(Fs, St0)),
%% Get the correct list of exported functions.
Exports = case member(export_all, St1#expand.compile) of
true -> gb_sets:to_list(St1#expand.defined);
false -> St1#expand.exports
end,
%% Generate all functions from stored info.
{Ats,St3} = module_attrs(St1#expand{exports = Exports}),
{Mfs,St4} = module_predef_funcs(St3),
{St4#expand.module, St4#expand.exports, Ats ++ Tfs ++ Mfs,
St4#expand.compile}.
compiler_options(Forms) ->
lists:flatten([C || {attribute,_,compile,C} <- Forms]).
%% define_function(Form, State) -> State.
%% Add function to defined if form is a function.
define_functions(Forms, #expand{defined=Predef}=St) ->
Fs = foldl(fun({function,_,N,A,_Cs}, Acc) -> [{N,A}|Acc];
(_, Acc) -> Acc
end, Predef, Forms),
St#expand{defined=gb_sets:from_list(Fs)}.
module_attrs(#expand{attributes=Attributes}=St) ->
Attrs = [{attribute,Line,Name,Val} || {Name,Line,Val} <- Attributes],
Callbacks = [Callback || {_,_,callback,_}=Callback <- Attrs],
{Attrs,St#expand{callbacks=Callbacks}}.
module_predef_funcs(St) ->
{Mpf1,St1}=module_predef_func_beh_info(St),
{Mpf2,St2}=module_predef_funcs_mod_info(St1),
{Mpf1++Mpf2,St2}.
module_predef_func_beh_info(#expand{callbacks=[]}=St) ->
{[], St};
module_predef_func_beh_info(#expand{callbacks=Callbacks,defined=Defined,
exports=Exports}=St) ->
PreDef=[{behaviour_info,1}],
PreExp=PreDef,
{[gen_beh_info(Callbacks)],
St#expand{defined=gb_sets:union(gb_sets:from_list(PreDef), Defined),
exports=union(from_list(PreExp), Exports)}}.
gen_beh_info(Callbacks) ->
List = make_list(Callbacks),
{function,0,behaviour_info,1,
[{clause,0,[{atom,0,callbacks}],[],
[List]}]}.
make_list([]) -> {nil,0};
make_list([{_,_,_,[{{Name,Arity},_}]}|Rest]) ->
{cons,0,
{tuple,0,
[{atom,0,Name},
{integer,0,Arity}]},
make_list(Rest)}.
module_predef_funcs_mod_info(St) ->
PreDef = [{module_info,0},{module_info,1}],
PreExp = PreDef,
{[{function,0,module_info,0,
[{clause,0,[],[],
[{call,0,{remote,0,{atom,0,erlang},{atom,0,get_module_info}},
[{atom,0,St#expand.module}]}]}]},
{function,0,module_info,1,
[{clause,0,[{var,0,'X'}],[],
[{call,0,{remote,0,{atom,0,erlang},{atom,0,get_module_info}},
[{atom,0,St#expand.module},{var,0,'X'}]}]}]}],
St#expand{defined=gb_sets:union(gb_sets:from_list(PreDef),
St#expand.defined),
exports=union(from_list(PreExp), St#expand.exports)}}.
%% forms(Forms, State) ->
%% {TransformedForms,State'}
%% Process the forms. Attributes are lost and just affect the state.
%% Ignore uninteresting forms like eof and type.
forms([{attribute,_,file,_File}=F|Fs0], St0) ->
{Fs,St1} = forms(Fs0, St0),
{[F|Fs],St1};
forms([{attribute,Line,Name,Val}|Fs0], St0) ->
St1 = attribute(Name, Val, Line, St0),
forms(Fs0, St1);
forms([{function,L,N,A,Cs}|Fs0], St0) ->
{Ff,St1} = function(L, N, A, Cs, St0),
{Fs,St2} = forms(Fs0, St1),
{[Ff|Fs],St2};
forms([_|Fs], St) -> forms(Fs, St);
forms([], St) -> {[],St}.
%% attribute(Attribute, Value, Line, State) -> State'.
%% Process an attribute, this just affects the state.
attribute(module, Module, _L, St) ->
true = is_atom(Module),
St#expand{module=Module};
attribute(export, Es, _L, St) ->
St#expand{exports=union(from_list(Es), St#expand.exports)};
attribute(import, Is, _L, St) ->
import(Is, St);
attribute(compile, _C, _L, St) ->
St;
attribute(Name, Val, Line, St) when is_list(Val) ->
St#expand{attributes=St#expand.attributes ++ [{Name,Line,Val}]};
attribute(Name, Val, Line, St) ->
St#expand{attributes=St#expand.attributes ++ [{Name,Line,[Val]}]}.
function(L, N, A, Cs0, St0) ->
{Cs,St} = clauses(Cs0, St0#expand{func=N,arity=A,fcount=0}),
{{function,L,N,A,Cs},St}.
%% clauses([Clause], State) ->
%% {[TransformedClause],State}.
%% Expand function clauses.
clauses([{clause,Line,H0,G0,B0}|Cs0], St0) ->
{H,St1} = head(H0, St0),
{G,St2} = guard(G0, St1),
{B,St3} = exprs(B0, St2),
{Cs,St4} = clauses(Cs0, St3),
{[{clause,Line,H,G,B}|Cs],St4};
clauses([], St) -> {[],St}.
%% head(HeadPatterns, State) ->
%% {TransformedPatterns,Variables,UsedVariables,State'}
head(As, St) -> pattern_list(As, St).
%% pattern(Pattern, State) ->
%% {TransformedPattern,State'}
%%
pattern({var,_,'_'}=Var, St) -> %Ignore anonymous variable.
{Var,St};
pattern({var,_,_}=Var, St) ->
{Var,St};
pattern({char,_,_}=Char, St) ->
{Char,St};
pattern({integer,_,_}=Int, St) ->
{Int,St};
pattern({float,_,_}=Float, St) ->
{Float,St};
pattern({atom,_,_}=Atom, St) ->
{Atom,St};
pattern({string,_,_}=String, St) ->
{String,St};
pattern({nil,_}=Nil, St) ->
{Nil,St};
pattern({cons,Line,H,T}, St0) ->
{TH,St1} = pattern(H, St0),
{TT,St2} = pattern(T, St1),
{{cons,Line,TH,TT},St2};
pattern({tuple,Line,Ps}, St0) ->
{TPs,St1} = pattern_list(Ps, St0),
{{tuple,Line,TPs},St1};
%%pattern({struct,Line,Tag,Ps}, St0) ->
%% {TPs,TPsvs,St1} = pattern_list(Ps, St0),
%% {{tuple,Line,[{atom,Line,Tag}|TPs]},TPsvs,St1};
pattern({bin,Line,Es0}, St0) ->
{Es1,St1} = pattern_bin(Es0, St0),
{{bin,Line,Es1},St1};
pattern({op,_,'++',{nil,_},R}, St) ->
pattern(R, St);
pattern({op,_,'++',{cons,Li,H,T},R}, St) ->
pattern({cons,Li,H,{op,Li,'++',T,R}}, St);
pattern({op,_,'++',{string,Li,L},R}, St) ->
pattern(string_to_conses(Li, L, R), St);
pattern({match,Line,Pat1, Pat2}, St0) ->
{TH,St1} = pattern(Pat2, St0),
{TT,St2} = pattern(Pat1, St1),
{{match,Line,TT,TH},St2};
%% Compile-time pattern expressions, including unary operators.
pattern({op,_Line,_Op,_A}=Op, St) ->
{erl_eval:partial_eval(Op),St};
pattern({op,_Line,_Op,_L,_R}=Op, St) ->
{erl_eval:partial_eval(Op),St}.
pattern_list([P0|Ps0], St0) ->
{P,St1} = pattern(P0, St0),
{Ps,St2} = pattern_list(Ps0, St1),
{[P|Ps],St2};
pattern_list([], St) -> {[],St}.
%% guard(Guard, State) ->
%% {TransformedGuard,State'}
%% Transform a list of guard tests. We KNOW that this has been checked
%% and what the guards test are. Use expr for transforming the guard
%% expressions.
guard([G0|Gs0], St0) ->
{G,St1} = guard_tests(G0, St0),
{Gs,St2} = guard(Gs0, St1),
{[G|Gs],St2};
guard([], St) -> {[],St}.
guard_tests([Gt0|Gts0], St0) ->
{Gt1,St1} = guard_test(Gt0, St0),
{Gts1,St2} = guard_tests(Gts0, St1),
{[Gt1|Gts1],St2};
guard_tests([], St) -> {[],St}.
guard_test(Test, St) ->
expr(Test, St).
%% exprs(Expressions, State) ->
%% {TransformedExprs,State'}
exprs([E0|Es0], St0) ->
{E,St1} = expr(E0, St0),
{Es,St2} = exprs(Es0, St1),
{[E|Es],St2};
exprs([], St) -> {[],St}.
%% expr(Expression, State) ->
%% {TransformedExpression,State'}
expr({var,_,_}=Var, St) ->
{Var,St};
expr({char,_,_}=Char, St) ->
{Char,St};
expr({integer,_,_}=Int, St) ->
{Int,St};
expr({float,_,_}=Float, St) ->
{Float,St};
expr({atom,_,_}=Atom, St) ->
{Atom,St};
expr({string,_,_}=String, St) ->
{String,St};
expr({nil,_}=Nil, St) ->
{Nil,St};
expr({cons,Line,H0,T0}, St0) ->
{H,St1} = expr(H0, St0),
{T,St2} = expr(T0, St1),
{{cons,Line,H,T},St2};
expr({lc,Line,E0,Qs0}, St0) ->
{Qs1,St1} = lc_tq(Line, Qs0, St0),
{E1,St2} = expr(E0, St1),
{{lc,Line,E1,Qs1},St2};
expr({bc,Line,E0,Qs0}, St0) ->
{Qs1,St1} = lc_tq(Line, Qs0, St0),
{E1,St2} = expr(E0, St1),
{{bc,Line,E1,Qs1},St2};
expr({tuple,Line,Es0}, St0) ->
{Es1,St1} = expr_list(Es0, St0),
{{tuple,Line,Es1},St1};
%%expr({struct,Line,Tag,Es0}, Vs, St0) ->
%% {Es1,Esvs,Esus,St1} = expr_list(Es0, Vs, St0),
%% {{tuple,Line,[{atom,Line,Tag}|Es1]},Esvs,Esus,St1};
expr({bin,Line,Es0}, St0) ->
{Es1,St1} = expr_bin(Es0, St0),
{{bin,Line,Es1},St1};
expr({block,Line,Es0}, St0) ->
{Es,St1} = exprs(Es0, St0),
{{block,Line,Es},St1};
expr({'if',Line,Cs0}, St0) ->
{Cs,St1} = icr_clauses(Cs0, St0),
{{'if',Line,Cs},St1};
expr({'case',Line,E0,Cs0}, St0) ->
{E,St1} = expr(E0, St0),
{Cs,St2} = icr_clauses(Cs0, St1),
{{'case',Line,E,Cs},St2};
expr({'receive',Line,Cs0}, St0) ->
{Cs,St1} = icr_clauses(Cs0, St0),
{{'receive',Line,Cs},St1};
expr({'receive',Line,Cs0,To0,ToEs0}, St0) ->
{To,St1} = expr(To0, St0),
{ToEs,St2} = exprs(ToEs0, St1),
{Cs,St3} = icr_clauses(Cs0, St2),
{{'receive',Line,Cs,To,ToEs},St3};
expr({'fun',Line,Body}, St) ->
fun_tq(Line, Body, St);
expr({named_fun,Line,Name,Cs}, St) ->
fun_tq(Line, Cs, St, Name);
expr({call,Line,{atom,La,N}=Atom,As0}, St0) ->
{As,St1} = expr_list(As0, St0),
Ar = length(As),
case defined(N,Ar,St1) of
true ->
{{call,Line,Atom,As},St1};
_ ->
case imported(N, Ar, St1) of
{yes,Mod} ->
{{call,Line,{remote,La,{atom,La,Mod},Atom},As},St1};
no ->
case erl_internal:bif(N, Ar) of
true ->
{{call,Line,{remote,La,{atom,La,erlang},Atom},As},St1};
false -> %% This should have been handled by erl_lint
{{call,Line,Atom,As},St1}
end
end
end;
expr({call,Line,{remote,Lr,M0,F},As0}, St0) ->
{[M1,F1|As1],St1} = expr_list([M0,F|As0], St0),
{{call,Line,{remote,Lr,M1,F1},As1},St1};
expr({call,Line,F,As0}, St0) ->
{[Fun1|As1],St1} = expr_list([F|As0], St0),
{{call,Line,Fun1,As1},St1};
expr({'try',Line,Es0,Scs0,Ccs0,As0}, St0) ->
{Es1,St1} = exprs(Es0, St0),
{Scs1,St2} = icr_clauses(Scs0, St1),
{Ccs1,St3} = icr_clauses(Ccs0, St2),
{As1,St4} = exprs(As0, St3),
{{'try',Line,Es1,Scs1,Ccs1,As1},St4};
expr({'catch',Line,E0}, St0) ->
%% Catch exports no new variables.
{E,St1} = expr(E0, St0),
{{'catch',Line,E},St1};
expr({match,Line,P0,E0}, St0) ->
{E,St1} = expr(E0, St0),
{P,St2} = pattern(P0, St1),
{{match,Line,P,E},St2};
expr({op,Line,Op,A0}, St0) ->
{A,St1} = expr(A0, St0),
{{op,Line,Op,A},St1};
expr({op,Line,Op,L0,R0}, St0) ->
{L,St1} = expr(L0, St0),
{R,St2} = expr(R0, St1),
{{op,Line,Op,L,R},St2}.
expr_list([E0|Es0], St0) ->
{E,St1} = expr(E0, St0),
{Es,St2} = expr_list(Es0, St1),
{[E|Es],St2};
expr_list([], St) -> {[],St}.
%% icr_clauses([Clause], State) -> {[TransformedClause],State'}
%% Be very careful here to return the variables that are really used
%% and really new.
icr_clauses([], St) -> {[],St};
icr_clauses(Clauses, St) -> icr_clauses2(Clauses, St).
icr_clauses2([{clause,Line,H0,G0,B0}|Cs0], St0) ->
{H,St1} = head(H0, St0),
{G,St2} = guard(G0, St1),
{B,St3} = exprs(B0, St2),
{Cs,St4} = icr_clauses2(Cs0, St3),
{[{clause,Line,H,G,B}|Cs],St4};
icr_clauses2([], St) -> {[],St}.
%% lc_tq(Line, Qualifiers, State) ->
%% {[TransQual],State'}
lc_tq(Line, [{generate,Lg,P0,G0} | Qs0], St0) ->
{G1,St1} = expr(G0, St0),
{P1,St2} = pattern(P0, St1),
{Qs1,St3} = lc_tq(Line, Qs0, St2),
{[{generate,Lg,P1,G1} | Qs1],St3};
lc_tq(Line, [{b_generate,Lg,P0,G0}|Qs0], St0) ->
{G1,St1} = expr(G0, St0),
{P1,St2} = pattern(P0, St1),
{Qs1,St3} = lc_tq(Line, Qs0, St2),
{[{b_generate,Lg,P1,G1}|Qs1],St3};
lc_tq(Line, [F0 | Qs0], St0) ->
case erl_lint:is_guard_test(F0) of
true ->
{F1,St1} = guard_test(F0, St0),
{Qs1,St2} = lc_tq(Line, Qs0, St1),
{[F1|Qs1],St2};
false ->
{F1,St1} = expr(F0, St0),
{Qs1,St2} = lc_tq(Line, Qs0, St1),
{[F1 | Qs1],St2}
end;
lc_tq(_Line, [], St0) ->
{[],St0}.
%% fun_tq(Line, Body, State) ->
%% {Fun,State'}
%% Transform an "explicit" fun {'fun', Line, {clauses, Cs}} into an
%% extended form {'fun', Line, {clauses, Cs}, Info}, unless it is the
%% name of a BIF (erl_lint has checked that it is not an import).
%% "Implicit" funs {'fun', Line, {function, F, A}} are not changed.
fun_tq(Lf, {function,F,A}=Function, St0) ->
case erl_internal:bif(F, A) of
true ->
{As,St1} = new_vars(A, Lf, St0),
Cs = [{clause,Lf,As,[],[{call,Lf,{atom,Lf,F},As}]}],
fun_tq(Lf, {clauses,Cs}, St1);
false ->
{Fname,St1} = new_fun_name(St0),
Index = Uniq = 0,
{{'fun',Lf,Function,{Index,Uniq,Fname}},St1}
end;
fun_tq(L, {function,M,F,A}, St) when is_atom(M), is_atom(F), is_integer(A) ->
%% This is the old format for external funs, generated by a pre-R15
%% compiler. That means that a tool, such as the debugger or xref,
%% directly invoked this module with the abstract code from a
%% pre-R15 BEAM file. Be helpful, and translate it to the new format.
fun_tq(L, {function,{atom,L,M},{atom,L,F},{integer,L,A}}, St);
fun_tq(Lf, {function,_,_,_}=ExtFun, St) ->
{{'fun',Lf,ExtFun},St};
fun_tq(Lf, {clauses,Cs0}, St0) ->
{Cs1,St1} = fun_clauses(Cs0, St0),
{Fname,St2} = new_fun_name(St1),
%% Set dummy values for Index and Uniq -- the real values will
%% be assigned by beam_asm.
Index = Uniq = 0,
{{'fun',Lf,{clauses,Cs1},{Index,Uniq,Fname}},St2}.
fun_tq(Line, Cs0, St0, Name) ->
{Cs1,St1} = fun_clauses(Cs0, St0),
{Fname,St2} = new_fun_name(St1, Name),
{{named_fun,Line,Name,Cs1,{0,0,Fname}},St2}.
fun_clauses([{clause,L,H0,G0,B0}|Cs0], St0) ->
{H,St1} = head(H0, St0),
{G,St2} = guard(G0, St1),
{B,St3} = exprs(B0, St2),
{Cs,St4} = fun_clauses(Cs0, St3),
{[{clause,L,H,G,B}|Cs],St4};
fun_clauses([], St) -> {[],St}.
%% new_fun_name(State) -> {FunName,State}.
new_fun_name(St) ->
new_fun_name(St, 'fun').
new_fun_name(#expand{func=F,arity=A,fcount=I}=St, FName) ->
Name = "-" ++ atom_to_list(F) ++ "/" ++ integer_to_list(A)
++ "-" ++ atom_to_list(FName) ++ "-" ++ integer_to_list(I) ++ "-",
{list_to_atom(Name),St#expand{fcount=I+1}}.
%% pattern_bin([Element], State) -> {[Element],[Variable],[UsedVar],State}.
pattern_bin(Es0, St) ->
Es1 = bin_expand_strings(Es0),
foldr(fun (E, Acc) -> pattern_element(E, Acc) end, {[],St}, Es1).
pattern_element({bin_element,Line,Expr0,Size0,Type0}, {Es,St0}) ->
{Expr1,St1} = pattern(Expr0, St0),
{Size1,St2} = pat_bit_size(Size0, St1),
{Size,Type} = make_bit_type(Line, Size1, Type0),
Expr = coerce_to_float(Expr1, Type0),
{[{bin_element,Line,Expr,Size,Type}|Es],St2}.
pat_bit_size(default, St) -> {default,St};
pat_bit_size({atom,_La,all}=All, St) -> {All,St};
pat_bit_size({var,_Lv,_V}=Var, St) -> {Var,St};
pat_bit_size(Size, St) ->
Line = element(2, Size),
{value,Sz,_} = erl_eval:expr(Size, erl_eval:new_bindings()),
{{integer,Line,Sz},St}.
make_bit_type(Line, default, Type0) ->
case erl_bits:set_bit_type(default, Type0) of
{ok,all,Bt} -> {{atom,Line,all},erl_bits:as_list(Bt)};
{ok,undefined,Bt} -> {{atom,Line,undefined},erl_bits:as_list(Bt)};
{ok,Size,Bt} -> {{integer,Line,Size},erl_bits:as_list(Bt)}
end;
make_bit_type(_Line, Size, Type0) -> %Integer or 'all'
{ok,Size,Bt} = erl_bits:set_bit_type(Size, Type0),
{Size,erl_bits:as_list(Bt)}.
coerce_to_float({integer,L,I}=E, [float|_]) ->
try
{float,L,float(I)}
catch
error:badarg -> E;
error:badarith -> E
end;
coerce_to_float(E, _) -> E.
%% expr_bin([Element], State) -> {[Element],State}.
expr_bin(Es0, St) ->
Es1 = bin_expand_strings(Es0),
foldr(fun (E, Acc) -> bin_element(E, Acc) end, {[],St}, Es1).
bin_element({bin_element,Line,Expr,Size,Type}, {Es,St0}) ->
{Expr1,St1} = expr(Expr, St0),
{Size1,St2} = if Size == default -> {default,St1};
true -> expr(Size, St1)
end,
{Size2,Type1} = make_bit_type(Line, Size1, Type),
{[{bin_element,Line,Expr1,Size2,Type1}|Es],St2}.
bin_expand_strings(Es) ->
foldr(fun ({bin_element,Line,{string,_,S},Sz,Ts}, Es1) ->
foldr(fun (C, Es2) ->
[{bin_element,Line,{char,Line,C},Sz,Ts}|Es2]
end, Es1, S);
(E, Es1) -> [E|Es1]
end, [], Es).
%% new_var_name(State) -> {VarName,State}.
new_var_name(St) ->
C = St#expand.vcount,
{list_to_atom("pre" ++ integer_to_list(C)),St#expand{vcount=C+1}}.
%% new_var(Line, State) -> {Var,State}.
new_var(L, St0) ->
{New,St1} = new_var_name(St0),
{{var,L,New},St1}.
%% new_vars(Count, Line, State) -> {[Var],State}.
%% Make Count new variables.
new_vars(N, L, St) -> new_vars(N, L, St, []).
new_vars(N, L, St0, Vs) when N > 0 ->
{V,St1} = new_var(L, St0),
new_vars(N-1, L, St1, [V|Vs]);
new_vars(0, _L, St, Vs) -> {Vs,St}.
string_to_conses(Line, Cs, Tail) ->
foldr(fun (C, T) -> {cons,Line,{char,Line,C},T} end, Tail, Cs).
%% import(Line, Imports, State) ->
%% State'
%% imported(Name, Arity, State) ->
%% {yes,Module} | no
%% Handle import declarations and test for imported functions. No need to
%% check when building imports as code is correct.
import({Mod,Fs}, St) ->
true = is_atom(Mod),
Mfs = from_list(Fs),
St#expand{imports=add_imports(Mod, Mfs, St#expand.imports)}.
add_imports(Mod, [F|Fs], Is) ->
add_imports(Mod, Fs, orddict:store(F, Mod, Is));
add_imports(_, [], Is) -> Is.
imported(F, A, St) ->
case orddict:find({F,A}, St#expand.imports) of
{ok,Mod} -> {yes,Mod};
error -> no
end.
defined(F, A, St) ->
gb_sets:is_element({F,A}, St#expand.defined).