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-rw-r--r--lib/compiler/src/beam_ssa_type.erl137
1 files changed, 121 insertions, 16 deletions
diff --git a/lib/compiler/src/beam_ssa_type.erl b/lib/compiler/src/beam_ssa_type.erl
index 118f4d57bc..52ac74510b 100644
--- a/lib/compiler/src/beam_ssa_type.erl
+++ b/lib/compiler/src/beam_ssa_type.erl
@@ -23,7 +23,7 @@
-include("beam_ssa.hrl").
-import(lists, [all/2,any/2,droplast/1,foldl/3,last/1,member/2,
- reverse/1,sort/1]).
+ partition/2,reverse/1,sort/1]).
-define(UNICODE_INT, #t_integer{elements={0,16#10FFFF}}).
@@ -436,12 +436,12 @@ update_successors(#b_br{bool=#b_var{}=Bool,succ=Succ,fail=Fail}, Ts0, D0) ->
%% no need to include the type database passed on to the
%% successors of this block.
Ts = maps:remove(Bool, Ts0),
- D = update_successor(Fail, Ts, D0),
- SuccTs = infer_types(Bool, Ts, D0),
+ {SuccTs,FailTs} = infer_types(Bool, Ts, D0),
+ D = update_successor(Fail, FailTs, D0),
update_successor(Succ, SuccTs, D);
false ->
- D = update_successor_bool(Bool, false, Fail, Ts0, D0),
- SuccTs = infer_types(Bool, Ts0, D0),
+ {SuccTs,FailTs} = infer_types(Bool, Ts0, D0),
+ D = update_successor_bool(Bool, false, Fail, FailTs, D0),
update_successor_bool(Bool, true, Succ, SuccTs, D)
end;
update_successors(#b_switch{arg=#b_var{}=V,fail=Fail,list=List}, Ts0, D0) ->
@@ -458,7 +458,8 @@ update_successors(#b_switch{arg=#b_var{}=V,fail=Fail,list=List}, Ts0, D0) ->
end,
foldl(F, D, List);
false ->
- D = update_successor(Fail, Ts0, D0),
+ FailTs = subtract_types([{V,join_sw_list(List, Ts0, none)}], Ts0),
+ D = update_successor(Fail, FailTs, D0),
F = fun({Val,S}, A) ->
T = get_type(Val, Ts0),
update_successor(S, Ts0#{V=>T}, A)
@@ -467,6 +468,10 @@ update_successors(#b_switch{arg=#b_var{}=V,fail=Fail,list=List}, Ts0, D0) ->
end;
update_successors(#b_ret{}, _Ts, D) -> D.
+join_sw_list([{Val,_}|T], Ts, Type) ->
+ join_sw_list(T, Ts, join(Type, get_type(Val, Ts)));
+join_sw_list([], _, Type) -> Type.
+
update_successor_bool(#b_var{}=Var, BoolValue, S, Ts, D) ->
case t_is_boolean(get_type(Var, Ts)) of
true ->
@@ -881,10 +886,84 @@ get_type(#b_literal{val=Val}, _Ts) ->
any
end.
-infer_types(#b_var{}=V, Ts, #d{ds=Ds}) ->
+%% infer_types(Var, Types, #d{}) -> {SuccTypes,FailTypes}
+%% Looking at the expression that defines the variable Var, infer
+%% the types for the variables in the arguments. Return the updated
+%% type database for the case that the expression evaluates to
+%% true, and and for the case that it evaluates to false.
+%%
+%% Here is an example. The variable being asked about is
+%% the variable Bool, which is defined like this:
+%%
+%% Bool = is_nonempty_list L
+%%
+%% If 'is_nonempty_list L' evaluates to 'true', L must
+%% must be cons. The meet of the previously known type of L and 'cons'
+%% will be added to SuccTypes.
+%%
+%% On the other hand, if 'is_nonempty_list L' evaluates to false, L
+%% is not cons and cons can be subtracted from the previously known
+%% type for L. For example, if L was known to be 'list', subtracting
+%% 'cons' would give 'nil' as the only possible type. The result of the
+%% subtraction for L will be added to FailTypes.
+%%
+%% Here is another example, asking about the variable Bool:
+%%
+%% Head = bif:hd L
+%% Bool = succeeded Head
+%%
+%% 'succeeded Head' will evaluate to 'true' if the instrution that
+%% defined Head succeeded. In this case, it is the 'bif:hd L'
+%% instruction, which will succeed if L is 'cons'. Thus, the meet of
+%% the previous type for L and 'cons' will be added to SuccTypes.
+%%
+%% If 'succeeded Head' evaluates to 'false', it means that 'bif:hd L'
+%% failed and that L is not 'cons'. 'cons' can be subtracted from the
+%% previously known type for L and the result put in FailTypes.
+
+infer_types(#b_var{}=V, Ts, #d{ds=Ds,once=Once}) ->
#{V:=#b_set{op=Op,args=Args}} = Ds,
- Types = infer_type(Op, Args, Ds),
- meet_types(Types, Ts).
+ Types0 = infer_type(Op, Args, Ds),
+
+ %% We must be careful with types inferred from '=:='.
+ %%
+ %% If we have seen L =:= [a], we know that L is 'cons' if the
+ %% comparison succeeds. However, if the comparison fails, L could
+ %% still be 'cons'. Therefore, we must not subtract 'cons' from the
+ %% previous type of L.
+ %%
+ %% However, it is safe to subtract a type inferred from '=:=' if
+ %% it is single-valued, e.g. if it is [] or the atom 'true'.
+ EqTypes0 = infer_eq_type(Op, Args, Ts, Ds),
+ {Types1,EqTypes} = partition(fun({_,T}) ->
+ is_singleton_type(T)
+ end, EqTypes0),
+
+ %% Don't bother updating the types for variables that
+ %% are never used again.
+ Types2 = Types1 ++ Types0,
+ Types = [P || {InfV,_}=P <- Types2, not cerl_sets:is_element(InfV, Once)],
+
+ {meet_types(EqTypes++Types, Ts),subtract_types(Types, Ts)}.
+
+infer_eq_type({bif,'=:='}, [#b_var{}=Src,#b_literal{}=Lit], Ts, Ds) ->
+ Def = maps:get(Src, Ds),
+ Type = get_type(Lit, Ts),
+ [{Src,Type}|infer_tuple_size(Def, Lit) ++
+ infer_first_element(Def, Lit)];
+infer_eq_type({bif,'=:='}, [#b_var{}=Arg0,#b_var{}=Arg1], Ts, _Ds) ->
+ %% As an example, assume that L1 is known to be 'list', and L2 is
+ %% known to be 'cons'. Then if 'L1 =:= L2' evaluates to 'true', it can
+ %% be inferred that L1 is 'cons' (the meet of 'cons' and 'list').
+ Type0 = get_type(Arg0, Ts),
+ Type1 = get_type(Arg1, Ts),
+ Type = meet(Type0, Type1),
+ [{V,MeetType} ||
+ {V,OrigType,MeetType} <-
+ [{Arg0,Type0,Type},{Arg1,Type1,Type}],
+ OrigType =/= MeetType];
+infer_eq_type(_Op, _Args, _Ts, _Ds) ->
+ [].
infer_type({bif,element}, [#b_literal{val=Pos},#b_var{}=Tuple], _Ds) ->
if
@@ -895,11 +974,6 @@ infer_type({bif,element}, [#b_literal{val=Pos},#b_var{}=Tuple], _Ds) ->
end;
infer_type({bif,element}, [#b_var{}=Position,#b_var{}=Tuple], _Ds) ->
[{Position,t_integer()},{Tuple,#t_tuple{}}];
-infer_type({bif,'=:='}, [#b_var{}=Src,#b_literal{}=Lit], Ds) ->
- Def = maps:get(Src, Ds),
- Type = get_type(Lit, #{}),
- [{Src,Type}|infer_tuple_size(Def, Lit) ++
- infer_first_element(Def, Lit)];
infer_type({bif,Bif}, [#b_var{}=Src]=Args, _Ds) ->
case inferred_bif_type(Bif, Args) of
any -> [];
@@ -1124,6 +1198,11 @@ t_tuple_size(#t_tuple{size=Size,exact=true}) ->
t_tuple_size(_) ->
none.
+is_singleton_type(#t_atom{elements=[_]}) -> true;
+is_singleton_type(#t_integer{elements={V,V}}) -> true;
+is_singleton_type(nil) -> true;
+is_singleton_type(_) -> false.
+
%% join(Type1, Type2) -> Type
%% Return the "join" of Type1 and Type2. The join is a more general
%% type than Type1 and Type2. For example:
@@ -1188,14 +1267,40 @@ gcd(A, B) ->
meet_types([{V,T0}|Vs], Ts) ->
#{V:=T1} = Ts,
- T = meet(T0, T1),
- meet_types(Vs, Ts#{V:=T});
+ case meet(T0, T1) of
+ T1 -> meet_types(Vs, Ts);
+ T -> meet_types(Vs, Ts#{V:=T})
+ end;
meet_types([], Ts) -> Ts.
meet([T1,T2|Ts]) ->
meet([meet(T1, T2)|Ts]);
meet([T]) -> T.
+subtract_types([{V,T0}|Vs], Ts) ->
+ #{V:=T1} = Ts,
+ case subtract(T1, T0) of
+ T1 -> subtract_types(Vs, Ts);
+ T -> subtract_types(Vs, Ts#{V:=T})
+ end;
+subtract_types([], Ts) -> Ts.
+
+%% subtract(Type1, Type2) -> Type.
+%% Subtract Type2 from Type1. Example:
+%%
+%% subtract(list, cons) -> nil
+
+subtract(#t_atom{elements=[_|_]=Set0}, #t_atom{elements=[_|_]=Set1}) ->
+ case ordsets:subtract(Set0, Set1) of
+ [] -> none;
+ [_|_]=Set -> #t_atom{elements=Set}
+ end;
+subtract(number, float) -> #t_integer{};
+subtract(number, #t_integer{elements=any}) -> float;
+subtract(list, cons) -> nil;
+subtract(list, nil) -> cons;
+subtract(T, _) -> T.
+
%% meet(Type1, Type2) -> Type
%% Return the "meet" of Type1 and Type2. The meet is a narrower
%% type than Type1 and Type2. For example: