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-rw-r--r--lib/hipe/cerl/Makefile11
-rw-r--r--lib/hipe/cerl/cerl_closurean.erl8
-rw-r--r--lib/hipe/cerl/cerl_messagean.erl4
-rw-r--r--lib/hipe/cerl/cerl_prettypr.erl25
-rw-r--r--lib/hipe/cerl/cerl_to_icode.erl38
-rw-r--r--lib/hipe/cerl/cerl_typean.erl4
-rw-r--r--lib/hipe/cerl/erl_bif_types.erl1820
-rw-r--r--lib/hipe/cerl/erl_types.erl2401
8 files changed, 2611 insertions, 1700 deletions
diff --git a/lib/hipe/cerl/Makefile b/lib/hipe/cerl/Makefile
index 506e993ff4..d13dfb33c2 100644
--- a/lib/hipe/cerl/Makefile
+++ b/lib/hipe/cerl/Makefile
@@ -42,8 +42,8 @@ RELSYSDIR = $(RELEASE_PATH)/lib/hipe-$(VSN)
# ----------------------------------------------------
# Target Specs
# ----------------------------------------------------
-MODULES = cerl_cconv cerl_closurean cerl_hipeify \
- cerl_lib cerl_messagean cerl_pmatch cerl_prettypr cerl_to_icode \
+MODULES = cerl_cconv cerl_closurean cerl_hipeify cerl_lib \
+ cerl_messagean cerl_pmatch cerl_prettypr cerl_to_icode \
cerl_typean erl_bif_types erl_types
HRL_FILES= cerl_hipe_primops.hrl
@@ -65,7 +65,7 @@ DOC_FILES= $(MODULES:%=$(DOCS)/%.html)
include ../native.mk
-ERL_COMPILE_FLAGS += +inline +warn_exported_vars +warn_unused_import +warn_missing_spec# +warn_untyped_record
+ERL_COMPILE_FLAGS += -Werror +inline +warn_exported_vars +warn_unused_import +warn_missing_spec #+warn_untyped_record
# ----------------------------------------------------
# Targets
@@ -107,7 +107,6 @@ release_spec: opt
release_docs_spec:
-$(EBIN)/cerl_to_icode.beam: cerl_hipe_primops.hrl ../icode/hipe_icode_primops.hrl
+$(EBIN)/cerl_cconv.beam: cerl_hipe_primops.hrl
$(EBIN)/cerl_hipeify.beam: cerl_hipe_primops.hrl
-$(EBIN)/cerl_lambdalift.beam: cerl_hipe_primops.hrl
-$(EBIN)/erl_bif_types.beam: ../icode/hipe_icode_primops.hrl
+$(EBIN)/cerl_to_icode.beam: cerl_hipe_primops.hrl ../icode/hipe_icode_primops.hrl
diff --git a/lib/hipe/cerl/cerl_closurean.erl b/lib/hipe/cerl/cerl_closurean.erl
index 021acd5b35..1b325703ae 100644
--- a/lib/hipe/cerl/cerl_closurean.erl
+++ b/lib/hipe/cerl/cerl_closurean.erl
@@ -1,7 +1,7 @@
%%
%% %CopyrightBegin%
%%
-%% Copyright Ericsson AB 2003-2010. All Rights Reserved.
+%% Copyright Ericsson AB 2003-2014. 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
@@ -78,7 +78,8 @@
%% function; see `analyze' for details.
-spec annotate(cerl:cerl()) ->
- {cerl:cerl(), outlist(), dict(), escapes(), dict(), dict()}.
+ {cerl:cerl(), outlist(), dict:dict(),
+ escapes(), dict:dict(), dict:dict()}.
annotate(Tree) ->
{Xs, Out, Esc, Deps, Par} = analyze(Tree),
@@ -206,7 +207,8 @@ append_ann(Tag, Val, []) ->
%% variable labeled `escape', which will hold the set of escaped labels.
%% initially it contains `top' and `external'.
--spec analyze(cerl:cerl()) -> {outlist(), dict(), escapes(), dict(), dict()}.
+-spec analyze(cerl:cerl()) ->
+ {outlist(), dict:dict(), escapes(), dict:dict(), dict:dict()}.
analyze(Tree) ->
%% Note that we use different name spaces for variable labels and
diff --git a/lib/hipe/cerl/cerl_messagean.erl b/lib/hipe/cerl/cerl_messagean.erl
index ca812a0f0d..7911b875a9 100644
--- a/lib/hipe/cerl/cerl_messagean.erl
+++ b/lib/hipe/cerl/cerl_messagean.erl
@@ -1,7 +1,7 @@
%% =====================================================================
%% %CopyrightBegin%
%%
-%% Copyright Ericsson AB 2004-2012. All Rights Reserved.
+%% Copyright Ericsson AB 2004-2014. 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
@@ -182,7 +182,7 @@
-type label() :: integer() | 'external' | 'top'.
-type ordset(X) :: [X]. % XXX: TAKE ME OUT
--spec annotate(cerl:cerl()) -> {cerl:cerl(), ordset(label()), dict()}.
+-spec annotate(cerl:cerl()) -> {cerl:cerl(), ordset(label()), dict:dict()}.
annotate(Tree) ->
{Esc0, Vars} = analyze(Tree),
diff --git a/lib/hipe/cerl/cerl_prettypr.erl b/lib/hipe/cerl/cerl_prettypr.erl
index fba9a48cda..22f5b8945a 100644
--- a/lib/hipe/cerl/cerl_prettypr.erl
+++ b/lib/hipe/cerl/cerl_prettypr.erl
@@ -62,7 +62,9 @@
receive_action/1, receive_clauses/1, receive_timeout/1,
seq_arg/1, seq_body/1, string_lit/1, try_arg/1,
try_body/1, try_vars/1, try_evars/1, try_handler/1,
- tuple_es/1, type/1, values_es/1, var_name/1]).
+ tuple_es/1, type/1, values_es/1, var_name/1,
+ map_es/1, map_pair_key/1, map_pair_val/1, map_pair_op/1
+ ]).
-define(PAPER, 76).
-define(RIBBON, 45).
@@ -424,6 +426,10 @@ lay_1(Node, Ctxt) ->
lay_cons(Node, Ctxt);
tuple ->
lay_tuple(Node, Ctxt);
+ map ->
+ lay_map(Node, Ctxt);
+ map_pair ->
+ lay_map_pair(Node, Ctxt);
'let' ->
lay_let(Node, Ctxt);
seq ->
@@ -589,6 +595,23 @@ lay_tuple(Node, Ctxt) ->
Ctxt, fun lay/2)),
floating(text("}")))).
+lay_map(Node, Ctxt) ->
+ beside(floating(text("~{")),
+ beside(par(seq(map_es(Node), floating(text(",")),
+ Ctxt, fun lay/2)),
+ floating(text("}~")))).
+
+lay_map_pair(Node, Ctxt) ->
+ K = map_pair_key(Node),
+ V = map_pair_val(Node),
+ OpTxt = case concrete(map_pair_op(Node)) of
+ assoc -> "::<";
+ exact -> "~<"
+ end,
+ beside(floating(text(OpTxt)),
+ beside(lay(K,Ctxt),beside(floating(text(",")), beside(lay(V,Ctxt),
+ floating(text(">")))))).
+
lay_let(Node, Ctxt) ->
V = lay_value_list(let_vars(Node), Ctxt),
D1 = par([follow(text("let"),
diff --git a/lib/hipe/cerl/cerl_to_icode.erl b/lib/hipe/cerl/cerl_to_icode.erl
index 1c1c10d9b0..2645056be1 100644
--- a/lib/hipe/cerl/cerl_to_icode.erl
+++ b/lib/hipe/cerl/cerl_to_icode.erl
@@ -29,9 +29,9 @@
-define(NO_UNUSED, true).
--export([module/2]).
+-export([module/1, module/2]).
-ifndef(NO_UNUSED).
--export([function/3, function/4, module/1]).
+-export([function/3, function/4]).
-endif.
%% Added in an attempt to suppress message by Dialyzer, but I run into
@@ -102,36 +102,32 @@
%% Record definitions
--record(ctxt, {final = false :: boolean(),
- effect = false,
- fail = [], % [] or fail-to label
- class = expr, % expr | guard
- line = 0, % current line number
- 'receive' % undefined | #receive{}
- }).
-
-record('receive', {loop}).
-record(cerl_to_icode__var, {name}).
-record('fun', {label, vars}).
+-record(ctxt, {final = false :: boolean(),
+ effect = false :: boolean(),
+ fail = [], % [] or fail-to label
+ class = expr :: 'expr' | 'guard',
+ line = 0 :: erl_scan:line(), % current line number
+ 'receive' :: 'undefined' | #'receive'{}
+ }).
%% ---------------------------------------------------------------------
%% Code
-
-%% @spec module(Module::cerl()) -> [icode()]
+%% @spec module(Module::cerl()) -> [{mfa(), icode()}]
%% @equiv module(Module, [])
--ifndef(NO_UNUSED).
+-spec module(cerl:c_module()) -> [{mfa(), hipe_icode:icode()}].
+
module(E) ->
module(E, []).
--endif.
-%% @clear
-
-%% @spec module(Module::cerl(), Options::[term()]) -> [icode()]
+%% @spec module(Module::cerl(), Options::[term()]) -> [{mfa(), icode()}]
%%
-%% cerl() = cerl:cerl()
+%% cerl() = cerl:c_module()
%% icode() = hipe_icode:icode()
%%
%% @doc Transforms a Core Erlang module to linear HiPE Icode. The result
@@ -149,7 +145,7 @@ module(E) ->
%% @see function/4
%% @see cerl_hipeify:transform/1
-%% -spec module(cerl:c_module(), [term()]) -> [{mfa(), hipe_icode:icode()}].
+-spec module(cerl:c_module(), [term()]) -> [{mfa(), hipe_icode:icode()}].
module(E, Options) ->
module_1(cerl_hipeify:transform(E, Options), Options).
@@ -163,8 +159,8 @@ module_1(E, Options) ->
throw(error)
end,
S0 = init(M),
- S1 = s__set_pmatch(proplists:get_value(pmatch, Options), S0),
- S2 = s__set_bitlevel_binaries(proplists:get_value(
+ S1 = s__set_pmatch(proplists:get_value(pmatch, Options), S0),
+ S2 = s__set_bitlevel_binaries(proplists:get_value(
bitlevel_binaries, Options), S1),
{Icode, _} = lists:mapfoldl(fun function_definition/2,
S2, cerl:module_defs(E)),
diff --git a/lib/hipe/cerl/cerl_typean.erl b/lib/hipe/cerl/cerl_typean.erl
index ccd8903658..f694c07c82 100644
--- a/lib/hipe/cerl/cerl_typean.erl
+++ b/lib/hipe/cerl/cerl_typean.erl
@@ -2,7 +2,7 @@
%%
%% %CopyrightBegin%
%%
-%% Copyright Ericsson AB 2003-2009. All Rights Reserved.
+%% Copyright Ericsson AB 2003-2014. 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
@@ -242,7 +242,7 @@ delete_ann(_, []) ->
-type labelset() :: ordset(label()).
-type outlist() :: [labelset()] | 'none'.
--spec analyze(cerl:cerl()) -> {outlist(), dict(), dict()}.
+-spec analyze(cerl:cerl()) -> {outlist(), dict:dict(), dict:dict()}.
analyze(Tree) ->
analyze(Tree, ?DEF_LIMIT).
diff --git a/lib/hipe/cerl/erl_bif_types.erl b/lib/hipe/cerl/erl_bif_types.erl
index 42c7e360c1..a460f16272 100644
--- a/lib/hipe/cerl/erl_bif_types.erl
+++ b/lib/hipe/cerl/erl_bif_types.erl
@@ -30,19 +30,17 @@
%-define(BITS, (hipe_rtl_arch:word_size() * 8) - ?TAG_IMMED1_SIZE).
-define(BITS, 128). %This is only in bsl to convert answer to pos_inf/neg_inf.
--define(TAG_IMMED1_SIZE, 4).
+-export([type/3, type/4, type/5, arg_types/3,
+ is_known/3, opaque_args/5, infinity_add/2]).
--export([type/3, type/4, arg_types/3,
- is_known/3, structure_inspecting_args/3, infinity_add/2]).
-
--import(erl_types, [number_max/1,
- number_min/1,
+-import(erl_types, [number_max/2,
+ number_min/2,
t_any/0,
t_arity/0,
t_atom/0,
t_atom/1,
t_atoms/1,
- t_atom_vals/1,
+ t_atom_vals/2,
t_binary/0,
t_bitstr/0,
t_boolean/0,
@@ -60,10 +58,11 @@
t_from_term/1,
t_fun/0,
t_fun/2,
- t_fun_args/1,
- t_fun_range/1,
+ t_fun_args/2,
+ t_fun_range/2,
t_identifier/0,
- t_inf/2,
+ t_has_opaque_subtype/2,
+ t_inf/3,
t_integer/0,
t_integer/1,
t_non_neg_fixnum/0,
@@ -71,30 +70,28 @@
t_pos_integer/0,
t_integers/1,
t_is_any/1,
- t_is_atom/1,
- t_is_binary/1,
- t_is_bitstr/1,
- t_is_boolean/1,
- t_is_cons/1,
- t_is_float/1,
- t_is_float/1,
- t_is_fun/1,
- t_is_integer/1,
- t_is_integer/1,
- t_is_nil/1,
+ t_is_atom/2,
+ t_is_binary/2,
+ t_is_bitstr/2,
+ t_is_boolean/2,
+ t_is_cons/2,
+ t_is_float/2,
+ t_is_fun/2,
+ t_is_integer/2,
+ t_is_nil/1, t_is_nil/2,
t_is_none/1,
t_is_none_or_unit/1,
- t_is_number/1,
- t_is_pid/1,
- t_is_port/1,
- t_is_maybe_improper_list/1,
- t_is_reference/1,
+ t_is_number/2,
+ t_is_pid/2,
+ t_is_port/2,
+ t_is_maybe_improper_list/2,
+ t_is_reference/2,
t_is_string/1,
t_is_subtype/2,
- t_is_tuple/1,
+ t_is_tuple/2,
t_list/0,
t_list/1,
- t_list_elements/1,
+ t_list_elements/2,
t_list_termination/1,
t_mfa/0,
t_module/0,
@@ -104,7 +101,7 @@
t_nonempty_list/0,
t_nonempty_list/1,
t_number/0,
- t_number_vals/1,
+ t_number_vals/2,
t_pid/0,
t_port/0,
t_maybe_improper_list/0,
@@ -115,9 +112,11 @@
t_sup/2,
t_tuple/0,
t_tuple/1,
- t_tuple_args/1,
- t_tuple_size/1,
- t_tuple_subtypes/1
+ t_tuple_args/2,
+ t_tuple_size/2,
+ t_tuple_subtypes/2,
+ t_is_map/2,
+ t_map/0
]).
-ifdef(DO_ERL_BIF_TYPES_TEST).
@@ -129,47 +128,61 @@
-spec type(atom(), atom(), arity()) -> erl_types:erl_type().
type(M, F, A) ->
- type(M, F, A, any_list(A)).
+ type(M, F, A, any_list(A), []).
%% Arguments should be checked for undefinedness, so we do not make
%% unnecessary overapproximations.
-spec type(atom(), atom(), arity(), [erl_types:erl_type()]) -> erl_types:erl_type().
+type(M, F, A, Xs) ->
+ type(M, F, A, Xs, 'universe').
+
+-type opaques() :: 'universe' | [erl_types:erl_type()].
+
+-type arg_types() :: [erl_types:erl_type()].
+
+-spec type(atom(), atom(), arity(), arg_types(), opaques()) ->
+ erl_types:erl_type().
+
%%-- erlang -------------------------------------------------------------------
-type(erlang, halt, 0, _) -> t_none();
-type(erlang, halt, 1, _) -> t_none();
-type(erlang, halt, 2, _) -> t_none();
-type(erlang, exit, 1, _) -> t_none();
-type(erlang, error, 1, _) -> t_none();
-type(erlang, error, 2, _) -> t_none();
-type(erlang, throw, 1, _) -> t_none();
-type(erlang, '==', 2, Xs = [X1, X2]) ->
- case t_is_atom(X1) andalso t_is_atom(X2) of
- true -> type(erlang, '=:=', 2, Xs);
+type(erlang, halt, 0, _, _) -> t_none();
+type(erlang, halt, 1, _, _) -> t_none();
+type(erlang, halt, 2, _, _) -> t_none();
+type(erlang, exit, 1, _, _) -> t_none();
+type(erlang, error, 1, _, _) -> t_none();
+type(erlang, error, 2, _, _) -> t_none();
+type(erlang, throw, 1, _, _) -> t_none();
+type(erlang, '==', 2, Xs = [X1, X2], Opaques) ->
+ case
+ t_is_atom(X1, Opaques) andalso t_is_atom(X2, Opaques)
+ of
+ true -> type(erlang, '=:=', 2, Xs, Opaques);
false ->
- case t_is_integer(X1) andalso t_is_integer(X2) of
- true -> type(erlang, '=:=', 2, Xs);
- false -> strict(Xs, t_boolean())
+ case t_is_integer(X1, Opaques) andalso t_is_integer(X2, Opaques) of
+ true -> type(erlang, '=:=', 2, Xs, Opaques);
+ false -> strict2(Xs, t_boolean())
end
end;
-type(erlang, '/=', 2, Xs = [X1, X2]) ->
- case t_is_atom(X1) andalso t_is_atom(X2) of
- true -> type(erlang, '=/=', 2, Xs);
+type(erlang, '/=', 2, Xs = [X1, X2], Opaques) ->
+ case
+ t_is_atom(X1, Opaques) andalso t_is_atom(X2, Opaques)
+ of
+ true -> type(erlang, '=/=', 2, Xs, Opaques);
false ->
- case t_is_integer(X1) andalso t_is_integer(X2) of
- true -> type(erlang, '=/=', 2, Xs);
- false -> strict(Xs, t_boolean())
+ case t_is_integer(X1, Opaques) andalso t_is_integer(X2, Opaques) of
+ true -> type(erlang, '=/=', 2, Xs, Opaques);
+ false -> strict2(Xs, t_boolean())
end
end;
-type(erlang, '=:=', 2, Xs = [Lhs, Rhs]) ->
+type(erlang, '=:=', 2, Xs = [Lhs, Rhs], Opaques) ->
Ans =
- case t_is_none(t_inf(Lhs, Rhs)) of
+ case t_is_none(t_inf(Lhs, Rhs, Opaques)) of
true -> t_atom('false');
false ->
- case t_is_atom(Lhs) andalso t_is_atom(Rhs) of
+ case t_is_atom(Lhs, Opaques) andalso t_is_atom(Rhs, Opaques) of
true ->
- case {t_atom_vals(Lhs), t_atom_vals(Rhs)} of
+ case {t_atom_vals(Lhs, Opaques), t_atom_vals(Rhs, Opaques)} of
{unknown, _} -> t_boolean();
{_, unknown} -> t_boolean();
{[X], [X]} -> t_atom('true');
@@ -181,16 +194,20 @@ type(erlang, '=:=', 2, Xs = [Lhs, Rhs]) ->
end
end;
false ->
- case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
+ case
+ t_is_integer(Lhs, Opaques) andalso t_is_integer(Rhs, Opaques)
+ of
false -> t_boolean();
true ->
- case {t_number_vals(Lhs), t_number_vals(Rhs)} of
+ case
+ {t_number_vals(Lhs, Opaques), t_number_vals(Rhs, Opaques)}
+ of
{[X], [X]} when is_integer(X) -> t_atom('true');
_ ->
- LhsMax = number_max(Lhs),
- LhsMin = number_min(Lhs),
- RhsMax = number_max(Rhs),
- RhsMin = number_min(Rhs),
+ LhsMax = number_max(Lhs, Opaques),
+ LhsMin = number_min(Lhs, Opaques),
+ RhsMax = number_max(Rhs, Opaques),
+ RhsMin = number_min(Rhs, Opaques),
Ans1 = (is_integer(LhsMin)
andalso is_integer(RhsMax)
andalso (LhsMin > RhsMax)),
@@ -205,15 +222,15 @@ type(erlang, '=:=', 2, Xs = [Lhs, Rhs]) ->
end
end
end,
- strict(Xs, Ans);
-type(erlang, '=/=', 2, Xs = [Lhs, Rhs]) ->
+ strict2(Xs, Ans);
+type(erlang, '=/=', 2, Xs = [Lhs, Rhs], Opaques) ->
Ans =
- case t_is_none(t_inf(Lhs, Rhs)) of
+ case t_is_none(t_inf(Lhs, Rhs, Opaques)) of
true -> t_atom('true');
false ->
- case t_is_atom(Lhs) andalso t_is_atom(Rhs) of
+ case t_is_atom(Lhs, Opaques) andalso t_is_atom(Rhs, Opaques) of
true ->
- case {t_atom_vals(Lhs), t_atom_vals(Rhs)} of
+ case {t_atom_vals(Lhs, Opaques), t_atom_vals(Rhs, Opaques)} of
{unknown, _} -> t_boolean();
{_, unknown} -> t_boolean();
{[Val], [Val]} -> t_atom('false');
@@ -221,13 +238,15 @@ type(erlang, '=/=', 2, Xs = [Lhs, Rhs]) ->
t_sup([t_from_term(X =/= Y) || X <- LhsVals, Y <- RhsVals])
end;
false ->
- case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
+ case
+ t_is_integer(Lhs, Opaques) andalso t_is_integer(Rhs, Opaques)
+ of
false -> t_boolean();
true ->
- LhsMax = number_max(Lhs),
- LhsMin = number_min(Lhs),
- RhsMax = number_max(Rhs),
- RhsMin = number_min(Rhs),
+ LhsMax = number_max(Lhs, Opaques),
+ LhsMin = number_min(Lhs, Opaques),
+ RhsMax = number_max(Rhs, Opaques),
+ RhsMin = number_min(Rhs, Opaques),
Ans1 = (is_integer(LhsMin) andalso is_integer(RhsMax)
andalso (LhsMin > RhsMax)),
Ans2 = (is_integer(LhsMax) andalso is_integer(RhsMin)
@@ -244,15 +263,15 @@ type(erlang, '=/=', 2, Xs = [Lhs, Rhs]) ->
end
end
end,
- strict(Xs, Ans);
-type(erlang, '>', 2, Xs = [Lhs, Rhs]) ->
+ strict2(Xs, Ans);
+type(erlang, '>', 2, Xs = [Lhs, Rhs], Opaques) ->
Ans =
- case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
+ case t_is_integer(Lhs, Opaques) andalso t_is_integer(Rhs, Opaques) of
true ->
- LhsMax = number_max(Lhs),
- LhsMin = number_min(Lhs),
- RhsMax = number_max(Rhs),
- RhsMin = number_min(Rhs),
+ LhsMax = number_max(Lhs, Opaques),
+ LhsMin = number_min(Lhs, Opaques),
+ RhsMax = number_max(Rhs, Opaques),
+ RhsMin = number_min(Rhs, Opaques),
T = t_atom('true'),
F = t_atom('false'),
if
@@ -260,17 +279,17 @@ type(erlang, '>', 2, Xs = [Lhs, Rhs]) ->
is_integer(LhsMax), is_integer(RhsMin), RhsMin >= LhsMax -> F;
true -> t_boolean()
end;
- false -> compare('>', Lhs, Rhs)
+ false -> compare('>', Lhs, Rhs, Opaques)
end,
- strict(Xs, Ans);
-type(erlang, '>=', 2, Xs = [Lhs, Rhs]) ->
+ strict2(Xs, Ans);
+type(erlang, '>=', 2, Xs = [Lhs, Rhs], Opaques) ->
Ans =
- case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
+ case t_is_integer(Lhs, Opaques) andalso t_is_integer(Rhs, Opaques) of
true ->
- LhsMax = number_max(Lhs),
- LhsMin = number_min(Lhs),
- RhsMax = number_max(Rhs),
- RhsMin = number_min(Rhs),
+ LhsMax = number_max(Lhs, Opaques),
+ LhsMin = number_min(Lhs, Opaques),
+ RhsMax = number_max(Rhs, Opaques),
+ RhsMin = number_min(Rhs, Opaques),
T = t_atom('true'),
F = t_atom('false'),
if
@@ -278,17 +297,17 @@ type(erlang, '>=', 2, Xs = [Lhs, Rhs]) ->
is_integer(LhsMax), is_integer(RhsMin), RhsMin > LhsMax -> F;
true -> t_boolean()
end;
- false -> compare('>=', Lhs, Rhs)
+ false -> compare('>=', Lhs, Rhs, Opaques)
end,
- strict(Xs, Ans);
-type(erlang, '<', 2, Xs = [Lhs, Rhs]) ->
+ strict2(Xs, Ans);
+type(erlang, '<', 2, Xs = [Lhs, Rhs], Opaques) ->
Ans =
- case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
+ case t_is_integer(Lhs, Opaques) andalso t_is_integer(Rhs, Opaques) of
true ->
- LhsMax = number_max(Lhs),
- LhsMin = number_min(Lhs),
- RhsMax = number_max(Rhs),
- RhsMin = number_min(Rhs),
+ LhsMax = number_max(Lhs, Opaques),
+ LhsMin = number_min(Lhs, Opaques),
+ RhsMax = number_max(Rhs, Opaques),
+ RhsMin = number_min(Rhs, Opaques),
T = t_atom('true'),
F = t_atom('false'),
if
@@ -296,17 +315,17 @@ type(erlang, '<', 2, Xs = [Lhs, Rhs]) ->
is_integer(LhsMin), is_integer(RhsMax), RhsMax =< LhsMin -> F;
true -> t_boolean()
end;
- false -> compare('<', Lhs, Rhs)
+ false -> compare('<', Lhs, Rhs, Opaques)
end,
- strict(Xs, Ans);
-type(erlang, '=<', 2, Xs = [Lhs, Rhs]) ->
+ strict2(Xs, Ans);
+type(erlang, '=<', 2, Xs = [Lhs, Rhs], Opaques) ->
Ans =
- case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
+ case t_is_integer(Lhs, Opaques) andalso t_is_integer(Rhs, Opaques) of
true ->
- LhsMax = number_max(Lhs),
- LhsMin = number_min(Lhs),
- RhsMax = number_max(Rhs),
- RhsMin = number_min(Rhs),
+ LhsMax = number_max(Lhs, Opaques),
+ LhsMin = number_min(Lhs, Opaques),
+ RhsMax = number_max(Rhs, Opaques),
+ RhsMin = number_min(Rhs, Opaques),
T = t_atom('true'),
F = t_atom('false'),
if
@@ -314,232 +333,237 @@ type(erlang, '=<', 2, Xs = [Lhs, Rhs]) ->
is_integer(LhsMin), is_integer(RhsMax), RhsMax < LhsMin -> F;
true -> t_boolean()
end;
- false -> compare('=<', Lhs, Rhs)
+ false -> compare('=<', Lhs, Rhs, Opaques)
end,
- strict(Xs, Ans);
-type(erlang, '+', 1, Xs) ->
- strict(arg_types(erlang, '+', 1), Xs,
- fun ([X]) -> X end);
-type(erlang, '-', 1, Xs) ->
- strict(arg_types(erlang, '-', 1), Xs,
+ strict2(Xs, Ans);
+type(erlang, '+', 1, Xs, Opaques) ->
+ strict(erlang, '+', 1, Xs, fun ([X]) -> X end, Opaques);
+type(erlang, '-', 1, Xs, Opaques) ->
+ strict(erlang, '-', 1, Xs,
fun ([X]) ->
- case t_is_integer(X) of
+ case t_is_integer(X, Opaques) of
true -> type(erlang, '-', 2, [t_integer(0), X]);
false -> X
end
- end);
-type(erlang, '!', 2, Xs) ->
- strict(arg_types(erlang, '!', 2), Xs, fun ([_, X2]) -> X2 end);
-type(erlang, '+', 2, Xs) ->
- strict(arg_types(erlang, '+', 2), Xs,
+ end, Opaques);
+type(erlang, '!', 2, Xs, Opaques) ->
+ strict(erlang, '!', 2, Xs, fun ([_, X2]) -> X2 end, Opaques);
+type(erlang, '+', 2, Xs, Opaques) ->
+ strict(erlang, '+', 2, Xs,
fun ([X1, X2]) ->
- case arith('+', X1, X2) of
+ case arith('+', X1, X2, Opaques) of
{ok, T} -> T;
error ->
- case t_is_float(X1) orelse t_is_float(X2) of
+ case
+ t_is_float(X1, Opaques) orelse t_is_float(X2, Opaques)
+ of
true -> t_float();
false -> t_number()
end
end
- end);
-type(erlang, '-', 2, Xs) ->
- strict(arg_types(erlang, '-', 2), Xs,
+ end, Opaques);
+type(erlang, '-', 2, Xs, Opaques) ->
+ strict(erlang, '-', 2, Xs,
fun ([X1, X2]) ->
- case arith('-', X1, X2) of
+ case arith('-', X1, X2, Opaques) of
{ok, T} -> T;
error ->
- case t_is_float(X1) orelse t_is_float(X2) of
+ case
+ t_is_float(X1, Opaques) orelse t_is_float(X2, Opaques)
+ of
true -> t_float();
false -> t_number()
end
end
- end);
-type(erlang, '*', 2, Xs) ->
- strict(arg_types(erlang, '*', 2), Xs,
+ end, Opaques);
+type(erlang, '*', 2, Xs, Opaques) ->
+ strict(erlang, '*', 2, Xs,
fun ([X1, X2]) ->
- case arith('*', X1, X2) of
+ case arith('*', X1, X2, Opaques) of
{ok, T} -> T;
error ->
- case t_is_float(X1) orelse t_is_float(X2) of
+ case
+ t_is_float(X1, Opaques) orelse t_is_float(X2, Opaques)
+ of
true -> t_float();
false -> t_number()
end
end
- end);
-type(erlang, '/', 2, Xs) ->
- strict(arg_types(erlang, '/', 2), Xs,
- fun (_) -> t_float() end);
-type(erlang, 'div', 2, Xs) ->
- strict(arg_types(erlang, 'div', 2), Xs,
+ end, Opaques);
+type(erlang, '/', 2, Xs, Opaques) ->
+ strict(erlang, '/', 2, Xs, fun (_) -> t_float() end, Opaques);
+type(erlang, 'div', 2, Xs, Opaques) ->
+ strict(erlang, 'div', 2, Xs,
fun ([X1, X2]) ->
- case arith('div', X1, X2) of
+ case arith('div', X1, X2, Opaques) of
error -> t_integer();
{ok, T} -> T
end
- end);
-type(erlang, 'rem', 2, Xs) ->
- strict(arg_types(erlang, 'rem', 2), Xs,
+ end, Opaques);
+type(erlang, 'rem', 2, Xs, Opaques) ->
+ strict(erlang, 'rem', 2, Xs,
fun ([X1, X2]) ->
- case arith('rem', X1, X2) of
+ case arith('rem', X1, X2, Opaques) of
error -> t_non_neg_integer();
{ok, T} -> T
end
- end);
-type(erlang, '++', 2, Xs) ->
- strict(arg_types(erlang, '++', 2), Xs,
+ end, Opaques);
+type(erlang, '++', 2, Xs, Opaques) ->
+ strict(erlang, '++', 2, Xs,
fun ([X1, X2]) ->
- case t_is_nil(X1) of
+ case t_is_nil(X1, Opaques) of
true -> X2; % even if X2 is not a list
false ->
- case t_is_nil(X2) of
+ case t_is_nil(X2, Opaques) of
true -> X1;
false ->
- E1 = t_list_elements(X1),
- case t_is_cons(X1) of
+ E1 = t_list_elements(X1, Opaques),
+ case t_is_cons(X1, Opaques) of
true -> t_cons(E1, X2);
false ->
t_sup(X2, t_cons(E1, X2))
end
end
end
- end);
-type(erlang, '--', 2, Xs) ->
+ end, Opaques);
+type(erlang, '--', 2, Xs, Opaques) ->
%% We don't know which elements (if any) in X2 will be found and
%% removed from X1, even if they would have the same type. Thus, we
%% must assume that X1 can remain unchanged. However, if we succeed,
%% we know that X1 must be a proper list, but the result could
%% possibly be empty even if X1 is nonempty.
- strict(arg_types(erlang, '--', 2), Xs,
+ strict(erlang, '--', 2, Xs,
fun ([X1, X2]) ->
- case t_is_nil(X1) of
+ case t_is_nil(X1, Opaques) of
true -> t_nil();
false ->
- case t_is_nil(X2) of
+ case t_is_nil(X2, Opaques) of
true -> X1;
- false -> t_list(t_list_elements(X1))
+ false -> t_list(t_list_elements(X1, Opaques))
end
end
- end);
-type(erlang, 'and', 2, Xs) ->
- strict(arg_types(erlang, 'and', 2), Xs, fun (_) -> t_boolean() end);
-type(erlang, 'or', 2, Xs) ->
- strict(arg_types(erlang, 'or', 2), Xs, fun (_) -> t_boolean() end);
-type(erlang, 'xor', 2, Xs) ->
- strict(arg_types(erlang, 'xor', 2), Xs, fun (_) -> t_boolean() end);
-type(erlang, 'not', 1, Xs) ->
- strict(arg_types(erlang, 'not', 1), Xs, fun (_) -> t_boolean() end);
-type(erlang, 'band', 2, Xs) ->
- strict(arg_types(erlang, 'band', 2), Xs,
+ end, Opaques);
+type(erlang, 'and', 2, Xs, Opaques) ->
+ strict(erlang, 'and', 2, Xs, fun (_) -> t_boolean() end, Opaques);
+type(erlang, 'or', 2, Xs, Opaques) ->
+ strict(erlang, 'or', 2, Xs, fun (_) -> t_boolean() end, Opaques);
+type(erlang, 'xor', 2, Xs, Opaques) ->
+ strict(erlang, 'xor', 2, Xs, fun (_) -> t_boolean() end, Opaques);
+type(erlang, 'not', 1, Xs, Opaques) ->
+ strict(erlang, 'not', 1, Xs, fun (_) -> t_boolean() end, Opaques);
+type(erlang, 'band', 2, Xs, Opaques) ->
+ strict(erlang, 'band', 2, Xs,
fun ([X1, X2]) ->
- case arith('band', X1, X2) of
+ case arith('band', X1, X2, Opaques) of
error -> t_integer();
{ok, T} -> T
end
- end);
+ end, Opaques);
%% The result is not wider than the smallest argument. We need to
%% kill any value-sets in the result.
-%% strict(arg_types(erlang, 'band', 2), Xs,
-%% fun ([X1, X2]) -> t_sup(t_inf(X1, X2), t_byte()) end);
-type(erlang, 'bor', 2, Xs) ->
- strict(arg_types(erlang, 'bor', 2), Xs,
+%% strict(erlang, 'band', 2, Xs,
+%% fun ([X1, X2]) -> t_sup(t_inf(X1, X2, Opaques), t_byte()) end, Opaques);
+type(erlang, 'bor', 2, Xs, Opaques) ->
+ strict(erlang, 'bor', 2, Xs,
fun ([X1, X2]) ->
- case arith('bor', X1, X2) of
+ case arith('bor', X1, X2, Opaques) of
error -> t_integer();
{ok, T} -> T
end
- end);
+ end, Opaques);
%% The result is not wider than the largest argument. We need to
%% kill any value-sets in the result.
-%% strict(arg_types(erlang, 'bor', 2), Xs,
-%% fun ([X1, X2]) -> t_sup(t_sup(X1, X2), t_byte()) end);
-type(erlang, 'bxor', 2, Xs) ->
- strict(arg_types(erlang, 'bxor', 2), Xs,
+%% strict(erlang, 'bor', 2, Xs,
+%% fun ([X1, X2]) -> t_sup(t_sup(X1, X2), t_byte()) end, Opaques);
+type(erlang, 'bxor', 2, Xs, Opaques) ->
+ strict(erlang, 'bxor', 2, Xs,
fun ([X1, X2]) ->
- case arith('bxor', X1, X2) of
+ case arith('bxor', X1, X2, Opaques) of
error -> t_integer();
{ok, T} -> T
end
- end);
+ end, Opaques);
%% The result is not wider than the largest argument. We need to
%% kill any value-sets in the result.
-%% strict(arg_types(erlang, 'bxor', 2), Xs,
-%% fun ([X1, X2]) -> t_sup(t_sup(X1, X2), t_byte()) end);
-type(erlang, 'bsr', 2, Xs) ->
- strict(arg_types(erlang, 'bsr', 2), Xs,
+%% strict(erlang, 'bxor', 2, Xs,
+%% fun ([X1, X2]) -> t_sup(t_sup(X1, X2), t_byte()) end, Opaques);
+type(erlang, 'bsr', 2, Xs, Opaques) ->
+ strict(erlang, 'bsr', 2, Xs,
fun ([X1, X2]) ->
- case arith('bsr', X1, X2) of
+ case arith('bsr', X1, X2, Opaques) of
error -> t_integer();
{ok, T} -> T
end
- end);
+ end, Opaques);
%% If the first argument is unsigned (which is the case for
%% characters and bytes), the result is never wider. We need to kill
%% any value-sets in the result.
-%% strict(arg_types(erlang, 'bsr', 2), Xs,
-%% fun ([X, _]) -> t_sup(X, t_byte()) end);
-type(erlang, 'bsl', 2, Xs) ->
- strict(arg_types(erlang, 'bsl', 2), Xs,
+%% strict(erlang, 'bsr', 2, Xs,
+%% fun ([X, _]) -> t_sup(X, t_byte()) end, Opaques);
+type(erlang, 'bsl', 2, Xs, Opaques) ->
+ strict(erlang, 'bsl', 2, Xs,
fun ([X1, X2]) ->
- case arith('bsl', X1, X2) of
+ case arith('bsl', X1, X2, Opaques) of
error -> t_integer();
{ok, T} -> T
end
- end);
+ end, Opaques);
%% Not worth doing anything special here.
-%% strict(arg_types(erlang, 'bsl', 2), Xs, fun (_) -> t_integer() end);
-type(erlang, 'bnot', 1, Xs) ->
- strict(arg_types(erlang, 'bnot', 1), Xs,
+%% strict(erlang, 'bsl', 2, Xs, fun (_) -> t_integer() end, Opaques);
+type(erlang, 'bnot', 1, Xs, Opaques) ->
+ strict(erlang, 'bnot', 1, Xs,
fun ([X1]) ->
- case arith('bnot', X1) of
+ case arith('bnot', X1, Opaques) of
error -> t_integer();
{ok, T} -> T
end
- end);
+ end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, abs, 1, Xs) ->
- strict(arg_types(erlang, abs, 1), Xs, fun ([X]) -> X end);
+type(erlang, abs, 1, Xs, Opaques) ->
+ strict(erlang, abs, 1, Xs, fun ([X]) -> X end, Opaques);
%% This returns (-X)-1, so it often gives a negative result.
-%% strict(arg_types(erlang, 'bnot', 1), Xs, fun (_) -> t_integer() end);
-type(erlang, append, 2, Xs) -> type(erlang, '++', 2, Xs); % alias
-type(erlang, apply, 2, Xs) ->
+%% strict(erlang, 'bnot', 1, Xs, fun (_) -> t_integer() end, Opaques);
+type(erlang, append, 2, Xs, _Opaques) -> type(erlang, '++', 2, Xs); % alias
+type(erlang, apply, 2, Xs, Opaques) ->
Fun = fun ([X, _Y]) ->
- case t_is_fun(X) of
+ case t_is_fun(X, Opaques) of
true ->
- t_fun_range(X);
+ t_fun_range(X, Opaques);
false ->
t_any()
end
end,
- strict(arg_types(erlang, apply, 2), Xs, Fun);
-type(erlang, apply, 3, Xs) ->
- strict(arg_types(erlang, apply, 3), Xs, fun (_) -> t_any() end);
+ strict(erlang, apply, 2, Xs, Fun, Opaques);
+type(erlang, apply, 3, Xs, Opaques) ->
+ strict(erlang, apply, 3, Xs, fun (_) -> t_any() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, binary_part, 2, Xs) ->
- strict(arg_types(erlang, binary_part, 2), Xs, fun (_) -> t_binary() end);
+type(erlang, binary_part, 2, Xs, Opaques) ->
+ strict(erlang, binary_part, 2, Xs, fun (_) -> t_binary() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, binary_part, 3, Xs) ->
- strict(arg_types(erlang, binary_part, 3), Xs, fun (_) -> t_binary() end);
+type(erlang, binary_part, 3, Xs, Opaques) ->
+ strict(erlang, binary_part, 3, Xs, fun (_) -> t_binary() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, bit_size, 1, Xs) ->
- strict(arg_types(erlang, bit_size, 1), Xs,
- fun (_) -> t_non_neg_integer() end);
+type(erlang, bit_size, 1, Xs, Opaques) ->
+ strict(erlang, bit_size, 1, Xs,
+ fun (_) -> t_non_neg_integer() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, byte_size, 1, Xs) ->
- strict(arg_types(erlang, byte_size, 1), Xs,
- fun (_) -> t_non_neg_integer() end);
-type(erlang, disconnect_node, 1, Xs) ->
- strict(arg_types(erlang, disconnect_node, 1), Xs, fun (_) -> t_sup([t_boolean(), t_atom('ignored')]) end);
+type(erlang, byte_size, 1, Xs, Opaques) ->
+ strict(erlang, byte_size, 1, Xs,
+ fun (_) -> t_non_neg_integer() end, Opaques);
+type(erlang, disconnect_node, 1, Xs, Opaques) ->
+ strict(erlang, disconnect_node, 1, Xs,
+ fun (_) -> t_sup([t_boolean(), t_atom('ignored')]) end, Opaques);
%% Guard bif, needs to be here.
%% Also much more expressive than anything you could write in a spec...
-type(erlang, element, 2, Xs) ->
- strict(arg_types(erlang, element, 2), Xs,
+type(erlang, element, 2, Xs, Opaques) ->
+ strict(erlang, element, 2, Xs,
fun ([X1, X2]) ->
- case t_tuple_subtypes(X2) of
+ case t_tuple_subtypes(X2, Opaques) of
unknown -> t_any();
[_] ->
- Sz = t_tuple_size(X2),
- As = t_tuple_args(X2),
- case t_number_vals(X1) of
+ Sz = t_tuple_size(X2, Opaques),
+ As = t_tuple_args(X2, Opaques),
+ case t_number_vals(X1, Opaques) of
unknown -> t_sup(As);
Ns when is_list(Ns) ->
Fun = fun
@@ -553,165 +577,166 @@ type(erlang, element, 2, Xs) ->
Ts when is_list(Ts) ->
t_sup([type(erlang, element, 2, [X1, Y]) || Y <- Ts])
end
- end);
+ end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, float, 1, Xs) ->
- strict(arg_types(erlang, float, 1), Xs, fun (_) -> t_float() end);
-type(erlang, fun_info, 1, Xs) ->
- strict(arg_types(erlang, fun_info, 1), Xs,
- fun (_) -> t_list(t_tuple([t_atom(), t_any()])) end);
-type(erlang, get_cookie, 0, _) -> t_atom(); % | t_atom('nocookie')
+type(erlang, float, 1, Xs, Opaques) ->
+ strict(erlang, float, 1, Xs, fun (_) -> t_float() end, Opaques);
+type(erlang, fun_info, 1, Xs, Opaques) ->
+ strict(erlang, fun_info, 1, Xs,
+ fun (_) -> t_list(t_tuple([t_atom(), t_any()])) end, Opaques);
+type(erlang, get_cookie, 0, _, _Opaques) -> t_atom(); % | t_atom('nocookie')
%% Guard bif, needs to be here.
-type(erlang, hd, 1, Xs) ->
- strict(arg_types(erlang, hd, 1), Xs, fun ([X]) -> t_cons_hd(X) end);
-type(erlang, integer_to_list, 2, Xs) ->
- strict(arg_types(erlang, integer_to_list, 2), Xs,
- fun (_) -> t_string() end);
-type(erlang, info, 1, Xs) -> type(erlang, system_info, 1, Xs); % alias
+type(erlang, hd, 1, Xs, Opaques) ->
+ strict(erlang, hd, 1, Xs, fun ([X]) -> t_cons_hd(X) end, Opaques);
+type(erlang, integer_to_list, 2, Xs, Opaques) ->
+ strict(erlang, integer_to_list, 2, Xs,
+ fun (_) -> t_string() end, Opaques);
+type(erlang, info, 1, Xs, _) -> type(erlang, system_info, 1, Xs); % alias
%% All type tests are guard BIF's and may be implemented in ways that
%% cannot be expressed in a type spec, why they are kept in erl_bif_types.
-type(erlang, is_atom, 1, Xs) ->
- Fun = fun (X) -> check_guard(X, fun (Y) -> t_is_atom(Y) end, t_atom()) end,
- strict(arg_types(erlang, is_atom, 1), Xs, Fun);
-type(erlang, is_binary, 1, Xs) ->
+type(erlang, is_atom, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_binary(Y) end, t_binary())
+ check_guard(X, fun (Y) -> t_is_atom(Y, Opaques) end,
+ t_atom(), Opaques)
+ end,
+ strict(erlang, is_atom, 1, Xs, Fun, Opaques);
+type(erlang, is_binary, 1, Xs, Opaques) ->
+ Fun = fun (X) ->
+ check_guard(X, fun (Y) -> t_is_binary(Y, Opaques) end,
+ t_binary(), Opaques)
end,
- strict(arg_types(erlang, is_binary, 1), Xs, Fun);
-type(erlang, is_bitstring, 1, Xs) ->
+ strict(erlang, is_binary, 1, Xs, Fun, Opaques);
+type(erlang, is_bitstring, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_bitstr(Y) end, t_bitstr())
+ check_guard(X, fun (Y) -> t_is_bitstr(Y, Opaques) end,
+ t_bitstr(), Opaques)
end,
- strict(arg_types(erlang, is_bitstring, 1), Xs, Fun);
-type(erlang, is_boolean, 1, Xs) ->
+ strict(erlang, is_bitstring, 1, Xs, Fun, Opaques);
+type(erlang, is_boolean, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_boolean(Y) end, t_boolean())
+ check_guard(X, fun (Y) -> t_is_boolean(Y, Opaques) end,
+ t_boolean(), Opaques)
end,
- strict(arg_types(erlang, is_boolean, 1), Xs, Fun);
-type(erlang, is_float, 1, Xs) ->
+ strict(erlang, is_boolean, 1, Xs, Fun, Opaques);
+type(erlang, is_float, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_float(Y) end, t_float())
+ check_guard(X, fun (Y) -> t_is_float(Y, Opaques) end,
+ t_float(), Opaques)
end,
- strict(arg_types(erlang, is_float, 1), Xs, Fun);
-type(erlang, is_function, 1, Xs) ->
- Fun = fun (X) -> check_guard(X, fun (Y) -> t_is_fun(Y) end, t_fun()) end,
- strict(arg_types(erlang, is_function, 1), Xs, Fun);
-type(erlang, is_function, 2, Xs) ->
+ strict(erlang, is_float, 1, Xs, Fun, Opaques);
+type(erlang, is_function, 1, Xs, Opaques) ->
+ Fun = fun (X) ->
+ check_guard(X, fun (Y) -> t_is_fun(Y, Opaques) end,
+ t_fun(), Opaques)
+ end,
+ strict(erlang, is_function, 1, Xs, Fun, Opaques);
+type(erlang, is_function, 2, Xs, Opaques) ->
Fun = fun ([FunType, ArityType]) ->
- case t_number_vals(ArityType) of
+ case t_number_vals(ArityType, Opaques) of
unknown -> t_boolean();
[Val] ->
FunConstr = t_fun(any_list(Val), t_any()),
Fun2 = fun (X) ->
t_is_subtype(X, FunConstr) andalso (not t_is_none(X))
end,
- check_guard_single(FunType, Fun2, FunConstr);
+ check_guard_single(FunType, Fun2, FunConstr, Opaques);
IntList when is_list(IntList) -> t_boolean() %% true?
end
end,
- strict(arg_types(erlang, is_function, 2), Xs, Fun);
-type(erlang, is_integer, 1, Xs) ->
+ strict(erlang, is_function, 2, Xs, Fun, Opaques);
+type(erlang, is_integer, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_integer(Y) end, t_integer())
+ check_guard(X, fun (Y) -> t_is_integer(Y, Opaques) end,
+ t_integer(), Opaques)
end,
- strict(arg_types(erlang, is_integer, 1), Xs, Fun);
-type(erlang, is_list, 1, Xs) ->
+ strict(erlang, is_integer, 1, Xs, Fun, Opaques);
+type(erlang, is_list, 1, Xs, Opaques) ->
Fun = fun (X) ->
- Fun2 = fun (Y) -> t_is_maybe_improper_list(Y) end,
- check_guard(X, Fun2, t_maybe_improper_list())
+ Fun2 = fun (Y) -> t_is_maybe_improper_list(Y, Opaques) end,
+ check_guard(X, Fun2, t_maybe_improper_list(), Opaques)
end,
- strict(arg_types(erlang, is_list, 1), Xs, Fun);
-type(erlang, is_number, 1, Xs) ->
+ strict(erlang, is_list, 1, Xs, Fun, Opaques);
+type(erlang, is_map, 1, Xs, Opaques) ->
+ Fun = fun (X) ->
+ check_guard(X, fun (Y) -> t_is_map(Y, Opaques) end,
+ t_map(), Opaques) end,
+ strict(erlang, is_map, 1, Xs, Fun, Opaques);
+type(erlang, is_number, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_number(Y) end, t_number())
+ check_guard(X, fun (Y) -> t_is_number(Y, Opaques) end,
+ t_number(), Opaques)
end,
- strict(arg_types(erlang, is_number, 1), Xs, Fun);
-type(erlang, is_pid, 1, Xs) ->
- Fun = fun (X) -> check_guard(X, fun (Y) -> t_is_pid(Y) end, t_pid()) end,
- strict(arg_types(erlang, is_pid, 1), Xs, Fun);
-type(erlang, is_port, 1, Xs) ->
- Fun = fun (X) -> check_guard(X, fun (Y) -> t_is_port(Y) end, t_port()) end,
- strict(arg_types(erlang, is_port, 1), Xs, Fun);
-type(erlang, is_record, 2, Xs) ->
+ strict(erlang, is_number, 1, Xs, Fun, Opaques);
+type(erlang, is_pid, 1, Xs, Opaques) ->
+ Fun = fun (X) ->
+ check_guard(X, fun (Y) -> t_is_pid(Y, Opaques) end,
+ t_pid(), Opaques)
+ end,
+ strict(erlang, is_pid, 1, Xs, Fun, Opaques);
+type(erlang, is_port, 1, Xs, Opaques) ->
+ Fun = fun (X) ->
+ check_guard(X, fun (Y) -> t_is_port(Y, Opaques) end,
+ t_port(), Opaques)
+ end,
+ strict(erlang, is_port, 1, Xs, Fun, Opaques);
+type(erlang, is_record, 2, Xs, Opaques) ->
Fun = fun ([X, Y]) ->
- case t_is_tuple(X) of
+ case t_is_tuple(X, Opaques) of
false ->
- case t_is_none(t_inf(t_tuple(), X)) of
- true -> t_atom('false');
+ case t_is_none(t_inf(t_tuple(), X, Opaques)) of
+ true ->
+ case t_has_opaque_subtype(X, Opaques) of
+ true -> t_none();
+ false -> t_atom('false')
+ end;
false -> t_boolean()
end;
true ->
- case t_tuple_subtypes(X) of
+ case t_tuple_subtypes(X, Opaques) of
unknown -> t_boolean();
[Tuple] ->
- case t_tuple_args(Tuple) of
+ case t_tuple_args(Tuple, Opaques) of
%% any -> t_boolean();
- [Tag|_] ->
- case t_is_atom(Tag) of
- false ->
- TagAtom = t_inf(Tag, t_atom()),
- case t_is_none(TagAtom) of
- true -> t_atom('false');
- false -> t_boolean()
- end;
- true ->
- case t_atom_vals(Tag) of
- [RealTag] ->
- case t_atom_vals(Y) of
- [RealTag] -> t_atom('true');
- _ -> t_boolean()
- end;
- _ -> t_boolean()
- end
- end
+ [Tag|_] -> check_record_tag(Tag, Y, Opaques)
end;
List when length(List) >= 2 ->
t_sup([type(erlang, is_record, 2, [T, Y]) || T <- List])
end
end
end,
- strict(arg_types(erlang, is_record, 2), Xs, Fun);
-type(erlang, is_record, 3, Xs) ->
+ strict(erlang, is_record, 2, Xs, Fun, Opaques);
+type(erlang, is_record, 3, Xs, Opaques) ->
Fun = fun ([X, Y, Z]) ->
- Arity = t_number_vals(Z),
- case t_is_tuple(X) of
+ Arity = t_number_vals(Z, Opaques),
+ case t_is_tuple(X, Opaques) of
false when length(Arity) =:= 1 ->
[RealArity] = Arity,
- case t_is_none(t_inf(t_tuple(RealArity), X)) of
- true -> t_atom('false');
+ case t_is_none(t_inf(t_tuple(RealArity), X, Opaques)) of
+ true ->
+ case t_has_opaque_subtype(X, Opaques) of
+ true -> t_none();
+ false -> t_atom('false')
+ end;
false -> t_boolean()
end;
false ->
- case t_is_none(t_inf(t_tuple(), X)) of
- true -> t_atom('false');
+ case t_is_none(t_inf(t_tuple(), X, Opaques)) of
+ true ->
+ case t_has_opaque_subtype(X, Opaques) of
+ true -> t_none();
+ false -> t_atom('false')
+ end;
false -> t_boolean()
end;
true when length(Arity) =:= 1 ->
[RealArity] = Arity,
- case t_tuple_subtypes(X) of
+ case t_tuple_subtypes(X, Opaques) of
unknown -> t_boolean();
[Tuple] ->
- case t_tuple_args(Tuple) of
+ case t_tuple_args(Tuple, Opaques) of
%% any -> t_boolean();
Args when length(Args) =:= RealArity ->
- Tag = hd(Args),
- case t_is_atom(Tag) of
- false ->
- TagAtom = t_inf(Tag, t_atom()),
- case t_is_none(TagAtom) of
- true -> t_atom('false');
- false -> t_boolean()
- end;
- true ->
- case t_atom_vals(Tag) of
- [RealTag] ->
- case t_atom_vals(Y) of
- [RealTag] -> t_atom('true');
- _ -> t_boolean()
- end;
- _ -> t_boolean()
- end
- end;
+ check_record_tag(hd(Args), Y, Opaques);
Args when length(Args) =/= RealArity ->
t_atom('false')
end;
@@ -722,62 +747,69 @@ type(erlang, is_record, 3, Xs) ->
t_boolean()
end
end,
- strict(arg_types(erlang, is_record, 3), Xs, Fun);
-type(erlang, is_reference, 1, Xs) ->
+ strict(erlang, is_record, 3, Xs, Fun, Opaques);
+type(erlang, is_reference, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_reference(Y) end, t_reference())
+ check_guard(X, fun (Y) -> t_is_reference(Y, Opaques) end,
+ t_reference(), Opaques)
end,
- strict(arg_types(erlang, is_reference, 1), Xs, Fun);
-type(erlang, is_tuple, 1, Xs) ->
+ strict(erlang, is_reference, 1, Xs, Fun, Opaques);
+type(erlang, is_tuple, 1, Xs, Opaques) ->
Fun = fun (X) ->
- check_guard(X, fun (Y) -> t_is_tuple(Y) end, t_tuple())
+ check_guard(X, fun (Y) -> t_is_tuple(Y, Opaques) end,
+ t_tuple(), Opaques)
end,
- strict(arg_types(erlang, is_tuple, 1), Xs, Fun);
+ strict(erlang, is_tuple, 1, Xs, Fun, Opaques);
+%% Guard bif, needs to be here.
+type(erlang, length, 1, Xs, Opaques) ->
+ strict(erlang, length, 1, Xs, fun (_) -> t_non_neg_fixnum() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, length, 1, Xs) ->
- strict(arg_types(erlang, length, 1), Xs, fun (_) -> t_non_neg_fixnum() end);
-type(erlang, make_tuple, 2, Xs) ->
- strict(arg_types(erlang, make_tuple, 2), Xs,
+type(erlang, map_size, 1, Xs, Opaques) ->
+ strict(erlang, map_size, 1, Xs, fun (_) -> t_non_neg_integer() end, Opaques);
+type(erlang, make_tuple, 2, Xs, Opaques) ->
+ strict(erlang, make_tuple, 2, Xs,
fun ([Int, _]) ->
- case t_number_vals(Int) of
+ case t_number_vals(Int, Opaques) of
[N] when is_integer(N), N >= 0 -> t_tuple(N);
_Other -> t_tuple()
end
- end);
-type(erlang, make_tuple, 3, Xs) ->
- strict(arg_types(erlang, make_tuple, 3), Xs,
+ end, Opaques);
+type(erlang, make_tuple, 3, Xs, Opaques) ->
+ strict(erlang, make_tuple, 3, Xs,
fun ([Int, _, _]) ->
- case t_number_vals(Int) of
+ case t_number_vals(Int, Opaques) of
[N] when is_integer(N), N >= 0 -> t_tuple(N);
_Other -> t_tuple()
end
- end);
-type(erlang, memory, 0, _) -> t_list(t_tuple([t_atom(), t_non_neg_fixnum()]));
-type(erlang, nif_error, 1, _) ->
- t_any(); % this BIF and the next one are stubs for NIFs and never return
-type(erlang, nif_error, 2, Xs) ->
- strict(arg_types(erlang, nif_error, 2), Xs, fun (_) -> t_any() end);
+ end, Opaques);
+type(erlang, memory, 0, _, _Opaques) ->
+ t_list(t_tuple([t_atom(), t_non_neg_fixnum()]));
+type(erlang, nif_error, 1, Xs, Opaques) ->
+ %% this BIF and the next one are stubs for NIFs and never return
+ strict(erlang, nif_error, 1, Xs, fun (_) -> t_any() end, Opaques);
+type(erlang, nif_error, 2, Xs, Opaques) ->
+ strict(erlang, nif_error, 2, Xs, fun (_) -> t_any() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, node, 0, _) -> t_node();
+type(erlang, node, 0, _, _Opaques) -> t_node();
%% Guard bif, needs to be here.
-type(erlang, node, 1, Xs) ->
- strict(arg_types(erlang, node, 1), Xs, fun (_) -> t_node() end);
+type(erlang, node, 1, Xs, Opaques) ->
+ strict(erlang, node, 1, Xs, fun (_) -> t_node() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, round, 1, Xs) ->
- strict(arg_types(erlang, round, 1), Xs, fun (_) -> t_integer() end);
+type(erlang, round, 1, Xs, Opaques) ->
+ strict(erlang, round, 1, Xs, fun (_) -> t_integer() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, self, 0, _) -> t_pid();
-type(erlang, set_cookie, 2, Xs) ->
- strict(arg_types(erlang, set_cookie, 2), Xs, fun (_) -> t_atom('true') end);
-type(erlang, setelement, 3, Xs) ->
- strict(arg_types(erlang, setelement, 3), Xs,
+type(erlang, self, 0, _, _Opaques) -> t_pid();
+type(erlang, set_cookie, 2, Xs, Opaques) ->
+ strict(erlang, set_cookie, 2, Xs, fun (_) -> t_atom('true') end, Opaques);
+type(erlang, setelement, 3, Xs, Opaques) ->
+ strict(erlang, setelement, 3, Xs,
fun ([X1, X2, X3]) ->
- case t_tuple_subtypes(X2) of
+ case t_tuple_subtypes(X2, Opaques) of
unknown -> t_tuple();
[_] ->
- Sz = t_tuple_size(X2),
- As = t_tuple_args(X2),
- case t_number_vals(X1) of
+ Sz = t_tuple_size(X2, Opaques),
+ As = t_tuple_args(X2, Opaques),
+ case t_number_vals(X1, Opaques) of
unknown ->
t_tuple([t_sup(X, X3) || X <- As]);
[N] when is_integer(N), 1 =< N, N =< Sz ->
@@ -799,29 +831,29 @@ type(erlang, setelement, 3, Xs) ->
Ts when is_list(Ts) ->
t_sup([type(erlang, setelement, 3, [X1, Y, X3]) || Y <- Ts])
end
- end);
+ end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, size, 1, Xs) ->
- strict(arg_types(erlang, size, 1), Xs, fun (_) -> t_non_neg_integer() end);
-type(erlang, spawn, 1, Xs) ->
- strict(arg_types(erlang, spawn, 1), Xs, fun (_) -> t_pid() end);
-type(erlang, spawn, 2, Xs) ->
- strict(arg_types(erlang, spawn, 2), Xs, fun (_) -> t_pid() end);
-type(erlang, spawn, 4, Xs) ->
- strict(arg_types(erlang, spawn, 4), Xs, fun (_) -> t_pid() end);
-type(erlang, spawn_link, 1, Xs) -> type(erlang, spawn, 1, Xs); % same
-type(erlang, spawn_link, 2, Xs) -> type(erlang, spawn, 2, Xs); % same
-type(erlang, spawn_link, 4, Xs) -> type(erlang, spawn, 4, Xs); % same
-type(erlang, subtract, 2, Xs) -> type(erlang, '--', 2, Xs); % alias
-type(erlang, suspend_process, 1, Xs) ->
- strict(arg_types(erlang, suspend_process, 1), Xs,
- fun (_) -> t_atom('true') end);
-type(erlang, system_info, 1, Xs) ->
- strict(arg_types(erlang, system_info, 1), Xs,
+type(erlang, size, 1, Xs, Opaques) ->
+ strict(erlang, size, 1, Xs, fun (_) -> t_non_neg_integer() end, Opaques);
+type(erlang, spawn, 1, Xs, Opaques) ->
+ strict(erlang, spawn, 1, Xs, fun (_) -> t_pid() end, Opaques);
+type(erlang, spawn, 2, Xs, Opaques) ->
+ strict(erlang, spawn, 2, Xs, fun (_) -> t_pid() end, Opaques);
+type(erlang, spawn, 4, Xs, Opaques) ->
+ strict(erlang, spawn, 4, Xs, fun (_) -> t_pid() end, Opaques);
+type(erlang, spawn_link, 1, Xs, _) -> type(erlang, spawn, 1, Xs); % same
+type(erlang, spawn_link, 2, Xs, _) -> type(erlang, spawn, 2, Xs); % same
+type(erlang, spawn_link, 4, Xs, _) -> type(erlang, spawn, 4, Xs); % same
+type(erlang, subtract, 2, Xs, _Opaques) -> type(erlang, '--', 2, Xs); % alias
+type(erlang, suspend_process, 1, Xs, Opaques) ->
+ strict(erlang, suspend_process, 1, Xs,
+ fun (_) -> t_atom('true') end, Opaques);
+type(erlang, system_info, 1, Xs, Opaques) ->
+ strict(erlang, system_info, 1, Xs,
fun ([Type]) ->
- case t_is_atom(Type) of
+ case t_is_atom(Type, Opaques) of
true ->
- case t_atom_vals(Type) of
+ case t_atom_vals(Type, Opaques) of
['allocated_areas'] ->
t_list(t_sup([t_tuple([t_atom(),t_non_neg_integer()]),
t_tuple([t_atom(),
@@ -880,7 +912,8 @@ type(erlang, system_info, 1, Xs) ->
t_list(t_pid());
['os_type'] ->
t_tuple([t_sup([t_atom('unix'),
- t_atom('win32')]),
+ t_atom('win32'),
+ t_atom('ose')]),
t_atom()]);
['os_version'] ->
t_sup(t_tuple([t_non_neg_fixnum(),
@@ -936,26 +969,28 @@ type(erlang, system_info, 1, Xs) ->
false -> %% This currently handles only {allocator, Alloc}
t_any() %% overapproximation as the return value might change
end
- end);
+ end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, tl, 1, Xs) ->
- strict(arg_types(erlang, tl, 1), Xs, fun ([X]) -> t_cons_tl(X) end);
+type(erlang, tl, 1, Xs, Opaques) ->
+ strict(erlang, tl, 1, Xs, fun ([X]) -> t_cons_tl(X) end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, trunc, 1, Xs) ->
- strict(arg_types(erlang, trunc, 1), Xs, fun (_) -> t_integer() end);
+type(erlang, trunc, 1, Xs, Opaques) ->
+ strict(erlang, trunc, 1, Xs, fun (_) -> t_integer() end, Opaques);
%% Guard bif, needs to be here.
-type(erlang, tuple_size, 1, Xs) ->
- strict(arg_types(erlang, tuple_size, 1), Xs, fun (_) -> t_non_neg_integer() end);
-type(erlang, tuple_to_list, 1, Xs) ->
- strict(arg_types(erlang, tuple_to_list, 1), Xs,
+type(erlang, tuple_size, 1, Xs, Opaques) ->
+ strict(erlang, tuple_size, 1, Xs,
+ fun (_) -> t_non_neg_integer() end, Opaques);
+type(erlang, tuple_to_list, 1, Xs, Opaques) ->
+ strict(erlang, tuple_to_list, 1, Xs,
fun ([X]) ->
- case t_tuple_subtypes(X) of
+ case t_tuple_subtypes(X, Opaques) of
unknown -> t_list();
SubTypes ->
- Args = lists:flatten([t_tuple_args(ST) || ST <- SubTypes]),
+ Args = lists:append([t_tuple_args(ST, Opaques) ||
+ ST <- SubTypes]),
%% Can be nil if the tuple can be {}
case lists:any(fun (T) ->
- t_tuple_size(T) =:= 0
+ t_tuple_size(T, Opaques) =:= 0
end, SubTypes) of
true ->
%% Be careful here. If we had only {} we need to
@@ -965,279 +1000,287 @@ type(erlang, tuple_to_list, 1, Xs) ->
t_nonempty_list(t_sup(Args))
end
end
- end);
-type(erlang, yield, 0, _) -> t_atom('true');
+ end, Opaques);
+type(erlang, yield, 0, _, _Opaques) -> t_atom('true');
%%-- ets ----------------------------------------------------------------------
-type(ets, rename, 2, Xs) ->
- strict(arg_types(ets, rename, 2), Xs, fun ([_, Name]) -> Name end);
+type(ets, rename, 2, Xs, Opaques) ->
+ strict(ets, rename, 2, Xs, fun ([_, Name]) -> Name end, Opaques);
%%-- hipe_bifs ----------------------------------------------------------------
-type(hipe_bifs, add_ref, 2, Xs) ->
- strict(arg_types(hipe_bifs, add_ref, 2), Xs, fun (_) -> t_nil() end);
-type(hipe_bifs, alloc_data, 2, Xs) ->
- strict(arg_types(hipe_bifs, alloc_data, 2), Xs,
- fun (_) -> t_integer() end); % address
-type(hipe_bifs, array, 2, Xs) ->
- strict(arg_types(hipe_bifs, array, 2), Xs, fun (_) -> t_immarray() end);
-type(hipe_bifs, array_length, 1, Xs) ->
- strict(arg_types(hipe_bifs, array_length, 1), Xs,
- fun (_) -> t_non_neg_fixnum() end);
-type(hipe_bifs, array_sub, 2, Xs) ->
- strict(arg_types(hipe_bifs, array_sub, 2), Xs, fun (_) -> t_immediate() end);
-type(hipe_bifs, array_update, 3, Xs) ->
- strict(arg_types(hipe_bifs, array_update, 3), Xs,
- fun (_) -> t_immarray() end);
-type(hipe_bifs, atom_to_word, 1, Xs) ->
- strict(arg_types(hipe_bifs, atom_to_word, 1), Xs,
- fun (_) -> t_integer() end);
-type(hipe_bifs, bif_address, 3, Xs) ->
- strict(arg_types(hipe_bifs, bif_address, 3), Xs,
- fun (_) -> t_sup(t_integer(), t_atom('false')) end);
-type(hipe_bifs, bitarray, 2, Xs) ->
- strict(arg_types(hipe_bifs, bitarray, 2), Xs, fun (_) -> t_bitarray() end);
-type(hipe_bifs, bitarray_sub, 2, Xs) ->
- strict(arg_types(hipe_bifs, bitarray_sub, 2), Xs, fun (_) -> t_boolean() end);
-type(hipe_bifs, bitarray_update, 3, Xs) ->
- strict(arg_types(hipe_bifs, bitarray_update, 3), Xs,
- fun (_) -> t_bitarray() end);
-type(hipe_bifs, bytearray, 2, Xs) ->
- strict(arg_types(hipe_bifs, bytearray, 2), Xs, fun (_) -> t_bytearray() end);
-type(hipe_bifs, bytearray_sub, 2, Xs) ->
- strict(arg_types(hipe_bifs, bytearray_sub, 2), Xs, fun (_) -> t_byte() end);
-type(hipe_bifs, bytearray_update, 3, Xs) ->
- strict(arg_types(hipe_bifs, bytearray_update, 3), Xs,
- fun (_) -> t_bytearray() end);
-type(hipe_bifs, call_count_clear, 1, Xs) ->
- strict(arg_types(hipe_bifs, call_count_clear, 1), Xs,
- fun (_) -> t_sup(t_non_neg_integer(), t_atom('false')) end);
-type(hipe_bifs, call_count_get, 1, Xs) ->
- strict(arg_types(hipe_bifs, call_count_get, 1), Xs,
- fun (_) -> t_sup(t_non_neg_integer(), t_atom('false')) end);
-type(hipe_bifs, call_count_off, 1, Xs) ->
- strict(arg_types(hipe_bifs, call_count_off, 1), Xs,
- fun (_) -> t_sup(t_non_neg_integer(), t_atom('false')) end);
-type(hipe_bifs, call_count_on, 1, Xs) ->
- strict(arg_types(hipe_bifs, call_count_on, 1), Xs,
- fun (_) -> t_sup(t_atom('true'), t_nil()) end);
-type(hipe_bifs, check_crc, 1, Xs) ->
- strict(arg_types(hipe_bifs, check_crc, 1), Xs, fun (_) -> t_boolean() end);
-type(hipe_bifs, enter_code, 2, Xs) ->
- strict(arg_types(hipe_bifs, enter_code, 2), Xs,
+type(hipe_bifs, add_ref, 2, Xs, Opaques) ->
+ strict(hipe_bifs, add_ref, 2, Xs, fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, alloc_data, 2, Xs, Opaques) ->
+ strict(hipe_bifs, alloc_data, 2, Xs,
+ fun (_) -> t_integer() end, Opaques); % address
+type(hipe_bifs, array, 2, Xs, Opaques) ->
+ strict(hipe_bifs, array, 2, Xs, fun (_) -> t_immarray() end, Opaques);
+type(hipe_bifs, array_length, 1, Xs, Opaques) ->
+ strict(hipe_bifs, array_length, 1, Xs,
+ fun (_) -> t_non_neg_fixnum() end, Opaques);
+type(hipe_bifs, array_sub, 2, Xs, Opaques) ->
+ strict(hipe_bifs, array_sub, 2, Xs, fun (_) -> t_immediate() end, Opaques);
+type(hipe_bifs, array_update, 3, Xs, Opaques) ->
+ strict(hipe_bifs, array_update, 3, Xs,
+ fun (_) -> t_immarray() end, Opaques);
+type(hipe_bifs, atom_to_word, 1, Xs, Opaques) ->
+ strict(hipe_bifs, atom_to_word, 1, Xs,
+ fun (_) -> t_integer() end, Opaques);
+type(hipe_bifs, bif_address, 3, Xs, Opaques) ->
+ strict(hipe_bifs, bif_address, 3, Xs,
+ fun (_) -> t_sup(t_integer(), t_atom('false')) end, Opaques);
+type(hipe_bifs, bitarray, 2, Xs, Opaques) ->
+ strict(hipe_bifs, bitarray, 2, Xs, fun (_) -> t_bitarray() end, Opaques);
+type(hipe_bifs, bitarray_sub, 2, Xs, Opaques) ->
+ strict(hipe_bifs, bitarray_sub, 2, Xs,
+ fun (_) -> t_boolean() end, Opaques);
+type(hipe_bifs, bitarray_update, 3, Xs, Opaques) ->
+ strict(hipe_bifs, bitarray_update, 3, Xs,
+ fun (_) -> t_bitarray() end, Opaques);
+type(hipe_bifs, bytearray, 2, Xs, Opaques) ->
+ strict(hipe_bifs, bytearray, 2, Xs, fun (_) -> t_bytearray() end, Opaques);
+type(hipe_bifs, bytearray_sub, 2, Xs, Opaques) ->
+ strict(hipe_bifs, bytearray_sub, 2, Xs, fun (_) -> t_byte() end, Opaques);
+type(hipe_bifs, bytearray_update, 3, Xs, Opaques) ->
+ strict(hipe_bifs, bytearray_update, 3, Xs,
+ fun (_) -> t_bytearray() end, Opaques);
+type(hipe_bifs, call_count_clear, 1, Xs, Opaques) ->
+ strict(hipe_bifs, call_count_clear, 1, Xs,
+ fun (_) -> t_sup(t_non_neg_integer(), t_atom('false')) end, Opaques);
+type(hipe_bifs, call_count_get, 1, Xs, Opaques) ->
+ strict(hipe_bifs, call_count_get, 1, Xs,
+ fun (_) -> t_sup(t_non_neg_integer(), t_atom('false')) end, Opaques);
+type(hipe_bifs, call_count_off, 1, Xs, Opaques) ->
+ strict(hipe_bifs, call_count_off, 1, Xs,
+ fun (_) -> t_sup(t_non_neg_integer(), t_atom('false')) end, Opaques);
+type(hipe_bifs, call_count_on, 1, Xs, Opaques) ->
+ strict(hipe_bifs, call_count_on, 1, Xs,
+ fun (_) -> t_sup(t_atom('true'), t_nil()) end, Opaques);
+type(hipe_bifs, check_crc, 1, Xs, Opaques) ->
+ strict(hipe_bifs, check_crc, 1, Xs, fun (_) -> t_boolean() end, Opaques);
+type(hipe_bifs, enter_code, 2, Xs, Opaques) ->
+ strict(hipe_bifs, enter_code, 2, Xs,
fun (_) -> t_tuple([t_integer(),
%% XXX: The tuple below contains integers and
%% is of size same as the length of the MFA list
- t_sup(t_nil(), t_binary())]) end);
-type(hipe_bifs, enter_sdesc, 1, Xs) ->
- strict(arg_types(hipe_bifs, enter_sdesc, 1), Xs, fun (_) -> t_nil() end);
-type(hipe_bifs, find_na_or_make_stub, 2, Xs) ->
- strict(arg_types(hipe_bifs, find_na_or_make_stub, 2), Xs,
- fun (_) -> t_integer() end); % address
-type(hipe_bifs, fun_to_address, 1, Xs) ->
- strict(arg_types(hipe_bifs, fun_to_address, 1), Xs,
- fun (_) -> t_integer() end);
-%% type(hipe_bifs, get_emu_address, 1, Xs) ->
-%% strict(arg_types(hipe_bifs, get_emu_address, 1), Xs,
-%% fun (_) -> t_integer() end); % address
-type(hipe_bifs, get_rts_param, 1, Xs) ->
- strict(arg_types(hipe_bifs, get_rts_param, 1), Xs,
- fun (_) -> t_sup(t_integer(), t_nil()) end);
-type(hipe_bifs, invalidate_funinfo_native_addresses, 1, Xs) ->
- strict(arg_types(hipe_bifs, invalidate_funinfo_native_addresses, 1), Xs,
- fun (_) -> t_nil() end);
-type(hipe_bifs, make_fe, 3, Xs) ->
- strict(arg_types(hipe_bifs, make_fe, 3), Xs, fun (_) -> t_integer() end);
-%% type(hipe_bifs, make_native_stub, 2, Xs) ->
-%% strict(arg_types(hipe_bifs, make_native_stub, 2), Xs,
-%% fun (_) -> t_integer() end); % address
-type(hipe_bifs, mark_referred_from, 1, Xs) ->
- strict(arg_types(hipe_bifs, mark_referred_from, 1), Xs,
- fun (_) -> t_nil() end);
-type(hipe_bifs, merge_term, 1, Xs) ->
- strict(arg_types(hipe_bifs, merge_term, 1), Xs, fun ([X]) -> X end);
-type(hipe_bifs, nstack_used_size, 0, _) ->
+ t_sup(t_nil(), t_binary())]) end, Opaques);
+type(hipe_bifs, enter_sdesc, 1, Xs, Opaques) ->
+ strict(hipe_bifs, enter_sdesc, 1, Xs, fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, find_na_or_make_stub, 2, Xs, Opaques) ->
+ strict(hipe_bifs, find_na_or_make_stub, 2, Xs,
+ fun (_) -> t_integer() end, Opaques); % address
+type(hipe_bifs, fun_to_address, 1, Xs, Opaques) ->
+ strict(hipe_bifs, fun_to_address, 1, Xs,
+ fun (_) -> t_integer() end, Opaques);
+%% type(hipe_bifs, get_emu_address, 1, Xs, Opaques) ->
+%% strict(hipe_bifs, get_emu_address, 1, Xs,
+%% fun (_) -> t_integer() end, Opaques); % address
+type(hipe_bifs, get_fe, 2, Xs, Opaques) ->
+ strict(hipe_bifs, get_fe, 2, Xs, fun (_) -> t_integer() end, Opaques);
+type(hipe_bifs, get_rts_param, 1, Xs, Opaques) ->
+ strict(hipe_bifs, get_rts_param, 1, Xs,
+ fun (_) -> t_sup(t_integer(), t_nil()) end, Opaques);
+type(hipe_bifs, invalidate_funinfo_native_addresses, 1, Xs, Opaques) ->
+ strict(hipe_bifs, invalidate_funinfo_native_addresses, 1, Xs,
+ fun (_) -> t_nil() end, Opaques);
+%% type(hipe_bifs, make_native_stub, 2, Xs, Opaques) ->
+%% strict(hipe_bifs, make_native_stub, 2, Xs,
+%% fun (_) -> t_integer() end, Opaques); % address
+type(hipe_bifs, mark_referred_from, 1, Xs, Opaques) ->
+ strict(hipe_bifs, mark_referred_from, 1, Xs,
+ fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, merge_term, 1, Xs, Opaques) ->
+ strict(hipe_bifs, merge_term, 1, Xs, fun ([X]) -> X end, Opaques);
+type(hipe_bifs, nstack_used_size, 0, _, _Opaques) ->
t_non_neg_fixnum();
-type(hipe_bifs, patch_call, 3, Xs) ->
- strict(arg_types(hipe_bifs, patch_call, 3), Xs, fun (_) -> t_nil() end);
-type(hipe_bifs, patch_insn, 3, Xs) ->
- strict(arg_types(hipe_bifs, patch_insn, 3), Xs, fun (_) -> t_nil() end);
-type(hipe_bifs, primop_address, 1, Xs) ->
- strict(arg_types(hipe_bifs, primop_address, 1), Xs,
- fun (_) -> t_sup(t_integer(), t_atom('false')) end);
-type(hipe_bifs, redirect_referred_from, 1, Xs) ->
- strict(arg_types(hipe_bifs, redirect_referred_from, 1), Xs,
- fun (_) -> t_nil() end);
-type(hipe_bifs, ref, 1, Xs) ->
- strict(arg_types(hipe_bifs, ref, 1), Xs, fun (_) -> t_immarray() end);
-type(hipe_bifs, ref_get, 1, Xs) ->
- strict(arg_types(hipe_bifs, ref_get, 1), Xs, fun (_) -> t_immediate() end);
-type(hipe_bifs, ref_set, 2, Xs) ->
- strict(arg_types(hipe_bifs, ref_set, 2), Xs, fun (_) -> t_nil() end);
-type(hipe_bifs, remove_refs_from, 1, Xs) ->
- strict(arg_types(hipe_bifs, remove_refs_from, 1), Xs,
- fun (_) -> t_atom('ok') end);
-type(hipe_bifs, set_funinfo_native_address, 3, Xs) ->
- strict(arg_types(hipe_bifs, set_funinfo_native_address, 3), Xs,
- fun (_) -> t_nil() end);
-type(hipe_bifs, set_native_address, 3, Xs) ->
- strict(arg_types(hipe_bifs, set_native_address, 3), Xs,
- fun (_) -> t_nil() end);
-type(hipe_bifs, system_crc, 1, Xs) ->
- strict(arg_types(hipe_bifs, system_crc, 1), Xs, fun (_) -> t_crc32() end);
-type(hipe_bifs, term_to_word, 1, Xs) ->
- strict(arg_types(hipe_bifs, term_to_word, 1), Xs,
- fun (_) -> t_integer() end);
-type(hipe_bifs, update_code_size, 3, Xs) ->
- strict(arg_types(hipe_bifs, update_code_size, 3), Xs,
- fun (_) -> t_nil() end);
-type(hipe_bifs, write_u8, 2, Xs) ->
- strict(arg_types(hipe_bifs, write_u8, 2), Xs, fun (_) -> t_nil() end);
-type(hipe_bifs, write_u32, 2, Xs) ->
- strict(arg_types(hipe_bifs, write_u32, 2), Xs, fun (_) -> t_nil() end);
-type(hipe_bifs, write_u64, 2, Xs) ->
- strict(arg_types(hipe_bifs, write_u64, 2), Xs, fun (_) -> t_nil() end);
+type(hipe_bifs, patch_call, 3, Xs, Opaques) ->
+ strict(hipe_bifs, patch_call, 3, Xs, fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, patch_insn, 3, Xs, Opaques) ->
+ strict(hipe_bifs, patch_insn, 3, Xs, fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, primop_address, 1, Xs, Opaques) ->
+ strict(hipe_bifs, primop_address, 1, Xs,
+ fun (_) -> t_sup(t_integer(), t_atom('false')) end, Opaques);
+type(hipe_bifs, redirect_referred_from, 1, Xs, Opaques) ->
+ strict(hipe_bifs, redirect_referred_from, 1, Xs,
+ fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, ref, 1, Xs, Opaques) ->
+ strict(hipe_bifs, ref, 1, Xs, fun (_) -> t_immarray() end, Opaques);
+type(hipe_bifs, ref_get, 1, Xs, Opaques) ->
+ strict(hipe_bifs, ref_get, 1, Xs, fun (_) -> t_immediate() end, Opaques);
+type(hipe_bifs, ref_set, 2, Xs, Opaques) ->
+ strict(hipe_bifs, ref_set, 2, Xs, fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, remove_refs_from, 1, Xs, Opaques) ->
+ strict(hipe_bifs, remove_refs_from, 1, Xs,
+ fun (_) -> t_atom('ok') end, Opaques);
+type(hipe_bifs, set_funinfo_native_address, 3, Xs, Opaques) ->
+ strict(hipe_bifs, set_funinfo_native_address, 3, Xs,
+ fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, set_native_address, 3, Xs, Opaques) ->
+ strict(hipe_bifs, set_native_address, 3, Xs,
+ fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, set_native_address_in_fe, 2, Xs, Opaques) ->
+ strict(hipe_bifs, set_native_address_in_fe, 2, Xs,
+ fun (_) -> t_atom('true') end, Opaques);
+type(hipe_bifs, system_crc, 1, Xs, Opaques) ->
+ strict(hipe_bifs, system_crc, 1, Xs, fun (_) -> t_crc32() end, Opaques);
+type(hipe_bifs, term_to_word, 1, Xs, Opaques) ->
+ strict(hipe_bifs, term_to_word, 1, Xs,
+ fun (_) -> t_integer() end, Opaques);
+type(hipe_bifs, update_code_size, 3, Xs, Opaques) ->
+ strict(hipe_bifs, update_code_size, 3, Xs,
+ fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, write_u8, 2, Xs, Opaques) ->
+ strict(hipe_bifs, write_u8, 2, Xs, fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, write_u32, 2, Xs, Opaques) ->
+ strict(hipe_bifs, write_u32, 2, Xs, fun (_) -> t_nil() end, Opaques);
+type(hipe_bifs, write_u64, 2, Xs, Opaques) ->
+ strict(hipe_bifs, write_u64, 2, Xs, fun (_) -> t_nil() end, Opaques);
%%-- lists --------------------------------------------------------------------
-type(lists, all, 2, Xs) ->
- strict(arg_types(lists, all, 2), Xs,
+type(lists, all, 2, Xs, Opaques) ->
+ strict(lists, all, 2, Xs,
fun ([F, L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> t_atom('true');
false ->
- El = t_list_elements(L),
- case check_fun_application(F, [El]) of
+ El = t_list_elements(L, Opaques),
+ case check_fun_application(F, [El], Opaques) of
ok ->
- case t_is_cons(L) of
- true -> t_fun_range(F);
+ case t_is_cons(L, Opaques) of
+ true -> t_fun_range(F, Opaques);
false ->
%% The list can be empty.
- t_sup(t_atom('true'), t_fun_range(F))
+ t_sup(t_atom('true'), t_fun_range(F, Opaques))
end;
error ->
- case t_is_cons(L) of
+ case t_is_cons(L, Opaques) of
true -> t_none();
- false -> t_fun_range(F)
+ false -> t_fun_range(F, Opaques)
end
end
end
- end);
-type(lists, any, 2, Xs) ->
- strict(arg_types(lists, any, 2), Xs,
+ end, Opaques);
+type(lists, any, 2, Xs, Opaques) ->
+ strict(lists, any, 2, Xs,
fun ([F, L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> t_atom('false');
false ->
- El = t_list_elements(L),
- case check_fun_application(F, [El]) of
+ El = t_list_elements(L, Opaques),
+ case check_fun_application(F, [El], Opaques) of
ok ->
- case t_is_cons(L) of
- true -> t_fun_range(F);
+ case t_is_cons(L, Opaques) of
+ true -> t_fun_range(F, Opaques);
false ->
%% The list can be empty
- t_sup(t_atom('false'), t_fun_range(F))
+ t_sup(t_atom('false'), t_fun_range(F, Opaques))
end;
error ->
- case t_is_cons(L) of
+ case t_is_cons(L, Opaques) of
true -> t_none();
- false -> t_fun_range(F)
+ false -> t_fun_range(F, Opaques)
end
end
end
- end);
-type(lists, append, 2, Xs) -> type(erlang, '++', 2, Xs); % alias
-type(lists, delete, 2, Xs) ->
- strict(arg_types(lists, delete, 2), Xs,
+ end, Opaques);
+type(lists, append, 2, Xs, _Opaques) -> type(erlang, '++', 2, Xs); % alias
+type(lists, delete, 2, Xs, Opaques) ->
+ strict(lists, delete, 2, Xs,
fun ([_, List]) ->
- case t_is_cons(List) of
+ case t_is_cons(List, Opaques) of
true -> t_cons_tl(List);
false -> List
end
- end);
-type(lists, dropwhile, 2, Xs) ->
- strict(arg_types(lists, dropwhile, 2), Xs,
+ end, Opaques);
+type(lists, dropwhile, 2, Xs, Opaques) ->
+ strict(lists, dropwhile, 2, Xs,
fun ([F, X]) ->
- case t_is_nil(X) of
+ case t_is_nil(X, Opaques) of
true -> t_nil();
false ->
- X1 = t_list_elements(X),
- case check_fun_application(F, [X1]) of
+ X1 = t_list_elements(X, Opaques),
+ case check_fun_application(F, [X1], Opaques) of
ok ->
- case t_atom_vals(t_fun_range(F)) of
+ case t_atom_vals(t_fun_range(F, Opaques), Opaques) of
['true'] ->
- case t_is_none(t_inf(t_list(), X)) of
+ case t_is_none(t_inf(t_list(), X, Opaques)) of
true -> t_none();
false -> t_nil()
end;
['false'] ->
- case t_is_none(t_inf(t_list(), X)) of
+ case t_is_none(t_inf(t_list(), X, Opaques)) of
true -> t_none();
false -> X
end;
_ ->
- t_inf(t_cons_tl(t_inf(X, t_cons())),
- t_maybe_improper_list())
+ t_inf(t_cons_tl(t_inf(X, t_cons(), Opaques)),
+ t_maybe_improper_list(), Opaques)
end;
error ->
- case t_is_cons(X) of
+ case t_is_cons(X, Opaques) of
true -> t_none();
false -> t_nil()
end
end
end
- end);
-type(lists, filter, 2, Xs) ->
- strict(arg_types(lists, filter, 2), Xs,
+ end, Opaques);
+type(lists, filter, 2, Xs, Opaques) ->
+ strict(lists, filter, 2, Xs,
fun ([F, L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> t_nil();
false ->
- T = t_list_elements(L),
- case check_fun_application(F, [T]) of
+ T = t_list_elements(L, Opaques),
+ case check_fun_application(F, [T], Opaques) of
ok ->
- case t_atom_vals(t_fun_range(F)) =:= ['false'] of
+ RangeVals = t_atom_vals(t_fun_range(F, Opaques), Opaques),
+ case RangeVals =:= ['false'] of
true -> t_nil();
false ->
- case t_atom_vals(t_fun_range(F)) =:= ['true'] of
+ case RangeVals =:= ['true'] of
true -> L;
false -> t_list(T)
end
end;
error ->
- case t_is_cons(L) of
+ case t_is_cons(L, Opaques) of
true -> t_none();
false -> t_nil()
end
end
end
- end);
-type(lists, flatten, 1, Xs) ->
- strict(arg_types(lists, flatten, 1), Xs,
+ end, Opaques);
+type(lists, flatten, 1, Xs, Opaques) ->
+ strict(lists, flatten, 1, Xs,
fun ([L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> L; % (nil has undefined elements)
false ->
%% Avoiding infinite recursion is tricky
- X1 = t_list_elements(L),
+ X1 = t_list_elements(L, Opaques),
case t_is_any(X1) of
true ->
t_list();
false ->
- X2 = type(lists, flatten, 1, [t_inf(X1, t_list())]),
+ X2 = type(lists, flatten, 1, [t_inf(X1, t_list(), Opaques)]),
t_sup(t_list(t_subtract(X1, t_list())), X2)
end
end
- end);
-type(lists, flatmap, 2, Xs) ->
- strict(arg_types(lists, flatmap, 2), Xs,
+ end, Opaques);
+type(lists, flatmap, 2, Xs, Opaques) ->
+ strict(lists, flatmap, 2, Xs,
fun ([F, List]) ->
- case t_is_nil(List) of
+ case t_is_nil(List, Opaques) of
true -> t_nil();
false ->
- case check_fun_application(F, [t_list_elements(List)]) of
+ case
+ check_fun_application(F, [t_list_elements(List, Opaques)],
+ Opaques)
+ of
ok ->
- R = t_fun_range(F),
+ R = t_fun_range(F, Opaques),
case t_is_nil(R) of
true -> t_nil();
false ->
- Elems = t_list_elements(R),
- case t_is_cons(List) of
+ Elems = t_list_elements(R, Opaques),
+ case t_is_cons(List, Opaques) of
true ->
case t_is_subtype(t_nil(), R) of
true -> t_list(Elems);
@@ -1247,58 +1290,65 @@ type(lists, flatmap, 2, Xs) ->
end
end;
error ->
- case t_is_cons(List) of
+ case t_is_cons(List, Opaques) of
true -> t_none();
false -> t_nil()
end
end
end
- end);
-type(lists, foreach, 2, Xs) ->
- strict(arg_types(lists, foreach, 2), Xs,
+ end, Opaques);
+type(lists, foreach, 2, Xs, Opaques) ->
+ strict(lists, foreach, 2, Xs,
fun ([F, List]) ->
- case t_is_cons(List) of
+ case t_is_cons(List, Opaques) of
true ->
- case check_fun_application(F, [t_list_elements(List)]) of
+ case
+ check_fun_application(F, [t_list_elements(List, Opaques)],
+ Opaques)
+ of
ok -> t_atom('ok');
error -> t_none()
end;
false ->
t_atom('ok')
end
- end);
-type(lists, foldl, 3, Xs) ->
- strict(arg_types(lists, foldl, 3), Xs,
+ end, Opaques);
+type(lists, foldl, 3, Xs, Opaques) ->
+ strict(lists, foldl, 3, Xs,
fun ([F, Acc, List]) ->
- case t_is_nil(List) of
+ case t_is_nil(List, Opaques) of
true -> Acc;
false ->
- case check_fun_application(F, [t_list_elements(List), Acc]) of
+ case
+ check_fun_application(F,
+ [t_list_elements(List, Opaques),Acc],
+ Opaques)
+ of
ok ->
- case t_is_cons(List) of
- true -> t_fun_range(F);
- false -> t_sup(t_fun_range(F), Acc)
+ case t_is_cons(List, Opaques) of
+ true -> t_fun_range(F, Opaques);
+ false -> t_sup(t_fun_range(F, Opaques), Acc)
end;
error ->
- case t_is_cons(List) of
+ case t_is_cons(List, Opaques) of
true -> t_none();
false -> Acc
end
end
end
- end);
-type(lists, foldr, 3, Xs) -> type(lists, foldl, 3, Xs); % same
-type(lists, keydelete, 3, Xs) ->
- strict(arg_types(lists, keydelete, 3), Xs,
+ end, Opaques);
+type(lists, foldr, 3, Xs, _Opaques) -> type(lists, foldl, 3, Xs); % same
+type(lists, keydelete, 3, Xs, Opaques) ->
+ strict(lists, keydelete, 3, Xs,
fun ([_, _, L]) ->
Term = t_list_termination(L),
t_sup(Term, erl_types:lift_list_to_pos_empty(L))
- end);
-type(lists, keyfind, 3, Xs) ->
- strict(arg_types(lists, keyfind, 3), Xs,
+ end, Opaques);
+type(lists, keyfind, 3, Xs, Opaques) ->
+ strict(lists, keyfind, 3, Xs,
fun ([X, Y, Z]) ->
- ListEs = t_list_elements(Z),
- Tuple = t_inf(t_tuple(), ListEs),
+ ListEs = t_list_elements(Z, Opaques),
+ Tuple = t_inf(t_tuple(), ListEs, Opaques),
case t_is_none(Tuple) of
true -> t_atom('false');
false ->
@@ -1308,58 +1358,61 @@ type(lists, keyfind, 3, Xs) ->
case t_is_any(X) of
true -> Ret;
false ->
- case t_tuple_subtypes(Tuple) of
+ case t_tuple_subtypes(Tuple, Opaques) of
unknown -> Ret;
List ->
- case key_comparisons_fail(X, Y, List) of
+ case key_comparisons_fail(X, Y, List, Opaques) of
true -> t_atom('false');
false -> Ret
end
end
end
end
- end);
-type(lists, keymap, 3, Xs) ->
- strict(arg_types(lists, keymap, 3), Xs,
+ end, Opaques);
+type(lists, keymap, 3, Xs, Opaques) ->
+ strict(lists, keymap, 3, Xs,
fun ([F, _I, L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> L;
- false -> t_list(t_sup(t_fun_range(F), t_list_elements(L)))
+ false -> t_list(t_sup(t_fun_range(F, Opaques),
+ t_list_elements(L, Opaques)))
end
- end);
-type(lists, keymember, 3, Xs) ->
- strict(arg_types(lists, keymember, 3), Xs,
+ end, Opaques);
+type(lists, keymember, 3, Xs, Opaques) ->
+ strict(lists, keymember, 3, Xs,
fun ([X, Y, Z]) ->
- ListEs = t_list_elements(Z),
- Tuple = t_inf(t_tuple(), ListEs),
+ ListEs = t_list_elements(Z, Opaques),
+ Tuple = t_inf(t_tuple(), ListEs, Opaques),
case t_is_none(Tuple) of
true -> t_atom('false');
false ->
case t_is_any(X) of
true -> t_boolean();
false ->
- case t_tuple_subtypes(Tuple) of
+ case t_tuple_subtypes(Tuple, Opaques) of
unknown -> t_boolean();
List ->
- case key_comparisons_fail(X, Y, List) of
+ case key_comparisons_fail(X, Y, List, Opaques) of
true -> t_atom('false');
false -> t_boolean()
end
end
end
end
- end);
-type(lists, keymerge, 3, Xs) ->
- strict(arg_types(lists, keymerge, 3), Xs,
- fun ([_I, L1, L2]) -> type(lists, merge, 2, [L1, L2]) end);
-type(lists, keyreplace, 4, Xs) ->
- strict(arg_types(lists, keyreplace, 4), Xs,
- fun ([_K, _I, L, T]) -> t_list(t_sup(t_list_elements(L), T)) end);
-type(lists, keysearch, 3, Xs) ->
- strict(arg_types(lists, keysearch, 3), Xs,
+ end, Opaques);
+type(lists, keymerge, 3, Xs, Opaques) ->
+ strict(lists, keymerge, 3, Xs,
+ fun ([_I, L1, L2]) -> type(lists, merge, 2, [L1, L2]) end, Opaques);
+type(lists, keyreplace, 4, Xs, Opaques) ->
+ strict(lists, keyreplace, 4, Xs,
+ fun ([_K, _I, L, T]) ->
+ t_list(t_sup(t_list_elements(L, Opaques), T))
+ end, Opaques);
+type(lists, keysearch, 3, Xs, Opaques) ->
+ strict(lists, keysearch, 3, Xs,
fun ([X, Y, Z]) ->
- ListEs = t_list_elements(Z),
- Tuple = t_inf(t_tuple(), ListEs),
+ ListEs = t_list_elements(Z, Opaques),
+ Tuple = t_inf(t_tuple(), ListEs, Opaques),
case t_is_none(Tuple) of
true -> t_atom('false');
false ->
@@ -1368,91 +1421,93 @@ type(lists, keysearch, 3, Xs) ->
case t_is_any(X) of
true -> Ret;
false ->
- case t_tuple_subtypes(Tuple) of
+ case t_tuple_subtypes(Tuple, Opaques) of
unknown -> Ret;
List ->
- case key_comparisons_fail(X, Y, List) of
+ case key_comparisons_fail(X, Y, List, Opaques) of
true -> t_atom('false');
false -> Ret
end
end
end
end
- end);
-type(lists, keysort, 2, Xs) ->
- strict(arg_types(lists, keysort, 2), Xs, fun ([_, L]) -> L end);
-type(lists, last, 1, Xs) ->
- strict(arg_types(lists, last, 1), Xs, fun ([L]) -> t_list_elements(L) end);
-type(lists, map, 2, Xs) ->
- strict(arg_types(lists, map, 2), Xs,
+ end, Opaques);
+type(lists, keysort, 2, Xs, Opaques) ->
+ strict(lists, keysort, 2, Xs, fun ([_, L]) -> L end, Opaques);
+type(lists, last, 1, Xs, Opaques) ->
+ strict(lists, last, 1, Xs,
+ fun ([L]) -> t_list_elements(L, Opaques) end, Opaques);
+type(lists, map, 2, Xs, Opaques) ->
+ strict(lists, map, 2, Xs,
fun ([F, L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> L;
false ->
- El = t_list_elements(L),
- case t_is_cons(L) of
+ El = t_list_elements(L, Opaques),
+ case t_is_cons(L, Opaques) of
true ->
- case check_fun_application(F, [El]) of
- ok -> t_nonempty_list(t_fun_range(F));
+ case check_fun_application(F, [El], Opaques) of
+ ok -> t_nonempty_list(t_fun_range(F, Opaques));
error -> t_none()
end;
false ->
- case check_fun_application(F, [El]) of
- ok -> t_list(t_fun_range(F));
+ case check_fun_application(F, [El], Opaques) of
+ ok -> t_list(t_fun_range(F, Opaques));
error -> t_nil()
end
end
end
- end);
-type(lists, mapfoldl, 3, Xs) ->
- strict(arg_types(lists, mapfoldl, 3), Xs,
+ end, Opaques);
+type(lists, mapfoldl, 3, Xs, Opaques) ->
+ strict(lists, mapfoldl, 3, Xs,
fun ([F, Acc, List]) ->
- case t_is_nil(List) of
+ case t_is_nil(List, Opaques) of
true -> t_tuple([List, Acc]);
false ->
- El = t_list_elements(List),
- R = t_fun_range(F),
- case t_is_cons(List) of
+ El = t_list_elements(List, Opaques),
+ R = t_fun_range(F, Opaques),
+ case t_is_cons(List, Opaques) of
true ->
- case check_fun_application(F, [El, Acc]) of
+ case check_fun_application(F, [El, Acc], Opaques) of
ok ->
Fun = fun (RangeTuple) ->
- [T1, T2] = t_tuple_args(RangeTuple),
+ [T1, T2] = t_tuple_args(RangeTuple, Opaques),
t_tuple([t_nonempty_list(T1), T2])
end,
- t_sup([Fun(ST) || ST <- t_tuple_subtypes(R)]);
+ t_sup([Fun(ST) || ST <- t_tuple_subtypes(R, Opaques)]);
error ->
t_none()
end;
false ->
- case check_fun_application(F, [El, Acc]) of
+ case check_fun_application(F, [El, Acc], Opaques) of
ok ->
Fun = fun (RangeTuple) ->
- [T1, T2] = t_tuple_args(RangeTuple),
+ [T1, T2] = t_tuple_args(RangeTuple, Opaques),
t_tuple([t_list(T1), t_sup(Acc, T2)])
end,
- t_sup([Fun(ST) || ST <- t_tuple_subtypes(R)]);
+ t_sup([Fun(ST) || ST <- t_tuple_subtypes(R, Opaques)]);
error ->
t_tuple([t_nil(), Acc])
end
end
end
- end);
-type(lists, mapfoldr, 3, Xs) -> type(lists, mapfoldl, 3, Xs); % same
-type(lists, max, 1, Xs) ->
- strict(arg_types(lists, max, 1), Xs, fun ([L]) -> t_list_elements(L) end);
-type(lists, member, 2, Xs) ->
- strict(arg_types(lists, member, 2), Xs,
+ end, Opaques);
+type(lists, mapfoldr, 3, Xs, _Opaques) -> type(lists, mapfoldl, 3, Xs); % same
+type(lists, max, 1, Xs, Opaques) ->
+ strict(lists, max, 1, Xs,
+ fun ([L]) -> t_list_elements(L, Opaques) end, Opaques);
+type(lists, member, 2, Xs, Opaques) ->
+ strict(lists, member, 2, Xs,
fun ([X, Y]) ->
- Y1 = t_list_elements(Y),
- case t_is_none(t_inf(Y1, X)) of
+ Y1 = t_list_elements(Y, Opaques),
+ case t_is_none(t_inf(Y1, X, Opaques)) of
true -> t_atom('false');
false -> t_boolean()
end
- end);
-%% type(lists, merge, 1, Xs) ->
-type(lists, merge, 2, Xs) ->
- strict(arg_types(lists, merge, 2), Xs,
+ end, Opaques);
+%% type(lists, merge, 1, Xs, Opaques) ->
+type(lists, merge, 2, Xs, Opaques) ->
+ strict(lists, merge, 2, Xs,
fun ([L1, L2]) ->
case t_is_none(L1) of
true -> L2;
@@ -1462,30 +1517,31 @@ type(lists, merge, 2, Xs) ->
false -> t_sup(L1, L2)
end
end
- end);
-type(lists, min, 1, Xs) ->
- strict(arg_types(lists, min, 1), Xs, fun ([L]) -> t_list_elements(L) end);
-type(lists, nth, 2, Xs) ->
- strict(arg_types(lists, nth, 2), Xs,
- fun ([_, Y]) -> t_list_elements(Y) end);
-type(lists, nthtail, 2, Xs) ->
- strict(arg_types(lists, nthtail, 2), Xs,
- fun ([_, Y]) -> t_sup(Y, t_list()) end);
-type(lists, partition, 2, Xs) ->
- strict(arg_types(lists, partition, 2), Xs,
+ end, Opaques);
+type(lists, min, 1, Xs, Opaques) ->
+ strict(lists, min, 1, Xs,
+ fun ([L]) -> t_list_elements(L, Opaques) end, Opaques);
+type(lists, nth, 2, Xs, Opaques) ->
+ strict(lists, nth, 2, Xs,
+ fun ([_, Y]) -> t_list_elements(Y, Opaques) end, Opaques);
+type(lists, nthtail, 2, Xs, Opaques) ->
+ strict(lists, nthtail, 2, Xs,
+ fun ([_, Y]) -> t_sup(Y, t_list()) end, Opaques);
+type(lists, partition, 2, Xs, Opaques) ->
+ strict(lists, partition, 2, Xs,
fun ([F, L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> t_tuple([L,L]);
false ->
- El = t_list_elements(L),
- case check_fun_application(F, [El]) of
+ El = t_list_elements(L, Opaques),
+ case check_fun_application(F, [El], Opaques) of
error ->
- case t_is_cons(L) of
+ case t_is_cons(L, Opaques) of
true -> t_none();
false -> t_tuple([t_nil(), t_nil()])
end;
ok ->
- case t_atom_vals(t_fun_range(F)) of
+ case t_atom_vals(t_fun_range(F, Opaques), Opaques) of
['true'] -> t_tuple([L, t_nil()]);
['false'] -> t_tuple([t_nil(), L]);
[_, _] ->
@@ -1494,123 +1550,131 @@ type(lists, partition, 2, Xs) ->
end
end
end
- end);
-type(lists, reverse, 1, Xs) ->
- strict(arg_types(lists, reverse, 1), Xs, fun ([X]) -> X end);
-type(lists, reverse, 2, Xs) ->
+ end, Opaques);
+type(lists, reverse, 1, Xs, Opaques) ->
+ strict(lists, reverse, 1, Xs, fun ([X]) -> X end, Opaques);
+type(lists, reverse, 2, Xs, _Opaques) ->
type(erlang, '++', 2, Xs); % reverse-onto is just like append
-type(lists, sort, 1, Xs) ->
- strict(arg_types(lists, sort, 1), Xs, fun ([X]) -> X end);
-type(lists, sort, 2, Xs) ->
- strict(arg_types(lists, sort, 2), Xs,
+type(lists, sort, 1, Xs, Opaques) ->
+ strict(lists, sort, 1, Xs, fun ([X]) -> X end, Opaques);
+type(lists, sort, 2, Xs, Opaques) ->
+ strict(lists, sort, 2, Xs,
fun ([F, L]) ->
- R = t_fun_range(F),
- case t_is_boolean(R) of
+ R = t_fun_range(F, Opaques),
+ case t_is_boolean(R, Opaques) of
true -> L;
false ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> t_nil();
false -> t_none()
end
end
- end);
-type(lists, split, 2, Xs) ->
- strict(arg_types(lists, split, 2), Xs,
+ end, Opaques);
+type(lists, split, 2, Xs, Opaques) ->
+ strict(lists, split, 2, Xs,
fun ([_, L]) ->
- case t_is_nil(L) of
+ case t_is_nil(L, Opaques) of
true -> t_tuple([L, L]);
false ->
- T = t_list_elements(L),
+ T = t_list_elements(L, Opaques),
t_tuple([t_list(T), t_list(T)])
end
- end);
-type(lists, splitwith, 2, Xs) ->
+ end, Opaques);
+type(lists, splitwith, 2, Xs, _Opaques) ->
T1 = type(lists, takewhile, 2, Xs),
T2 = type(lists, dropwhile, 2, Xs),
case t_is_none(T1) orelse t_is_none(T2) of
true -> t_none();
false -> t_tuple([T1, T2])
end;
-type(lists, subtract, 2, Xs) -> type(erlang, '--', 2, Xs); % alias
-type(lists, takewhile, 2, Xs) ->
- strict(arg_types(lists, takewhile, 2), Xs,
+type(lists, subtract, 2, Xs, _Opaques) -> type(erlang, '--', 2, Xs); % alias
+type(lists, takewhile, 2, Xs, Opaques) ->
+ strict(lists, takewhile, 2, Xs,
fun([F, L]) ->
- case t_is_none(t_inf(t_list(), L)) of
+ case t_is_none(t_inf(t_list(), L, Opaques)) of
false -> type(lists, filter, 2, Xs);
true ->
%% This works for non-proper lists as well.
- El = t_list_elements(L),
+ El = t_list_elements(L, Opaques),
type(lists, filter, 2, [F, t_list(El)])
end
- end);
-type(lists, usort, 1, Xs) -> type(lists, sort, 1, Xs); % same
-type(lists, usort, 2, Xs) -> type(lists, sort, 2, Xs); % same
-type(lists, unzip, 1, Xs) ->
- strict(arg_types(lists, unzip, 1), Xs,
+ end, Opaques);
+type(lists, usort, 1, Xs, _Opaques) -> type(lists, sort, 1, Xs); % same
+type(lists, usort, 2, Xs, _Opaques) -> type(lists, sort, 2, Xs); % same
+type(lists, unzip, 1, Xs, Opaques) ->
+ strict(lists, unzip, 1, Xs,
fun ([Ps]) ->
- case t_is_nil(Ps) of
+ case t_is_nil(Ps, Opaques) of
true ->
t_tuple([t_nil(), t_nil()]);
false -> % Ps is a proper list of pairs
- TupleTypes = t_tuple_subtypes(t_list_elements(Ps)),
+ TupleTypes = t_tuple_subtypes(t_list_elements(Ps, Opaques),
+ Opaques),
lists:foldl(fun(Tuple, Acc) ->
- [A, B] = t_tuple_args(Tuple),
+ [A, B] = t_tuple_args(Tuple, Opaques),
t_sup(t_tuple([t_list(A), t_list(B)]), Acc)
end, t_none(), TupleTypes)
end
- end);
-type(lists, unzip3, 1, Xs) ->
- strict(arg_types(lists, unzip3, 1), Xs,
+ end, Opaques);
+type(lists, unzip3, 1, Xs, Opaques) ->
+ strict(lists, unzip3, 1, Xs,
fun ([Ts]) ->
- case t_is_nil(Ts) of
+ case t_is_nil(Ts, Opaques) of
true ->
t_tuple([t_nil(), t_nil(), t_nil()]);
false -> % Ps is a proper list of triples
- TupleTypes = t_tuple_subtypes(t_list_elements(Ts)),
+ TupleTypes = t_tuple_subtypes(t_list_elements(Ts, Opaques),
+ Opaques),
lists:foldl(fun(T, Acc) ->
- [A, B, C] = t_tuple_args(T),
+ [A, B, C] = t_tuple_args(T, Opaques),
t_sup(t_tuple([t_list(A),
t_list(B),
t_list(C)]),
Acc)
end, t_none(), TupleTypes)
end
- end);
-type(lists, zip, 2, Xs) ->
- strict(arg_types(lists, zip, 2), Xs,
+ end, Opaques);
+type(lists, zip, 2, Xs, Opaques) ->
+ strict(lists, zip, 2, Xs,
fun ([As, Bs]) ->
- case (t_is_nil(As) orelse t_is_nil(Bs)) of
+ case (t_is_nil(As, Opaques) orelse t_is_nil(Bs, Opaques)) of
true -> t_nil();
false ->
- A = t_list_elements(As),
- B = t_list_elements(Bs),
+ A = t_list_elements(As, Opaques),
+ B = t_list_elements(Bs, Opaques),
t_list(t_tuple([A, B]))
end
- end);
-type(lists, zip3, 3, Xs) ->
- strict(arg_types(lists, zip3, 3), Xs,
+ end, Opaques);
+type(lists, zip3, 3, Xs, Opaques) ->
+ strict(lists, zip3, 3, Xs,
fun ([As, Bs, Cs]) ->
- case (t_is_nil(As) orelse t_is_nil(Bs) orelse t_is_nil(Cs)) of
+ case
+ (t_is_nil(As, Opaques)
+ orelse t_is_nil(Bs, Opaques)
+ orelse t_is_nil(Cs, Opaques))
+ of
true -> t_nil();
false ->
- A = t_list_elements(As),
- B = t_list_elements(Bs),
- C = t_list_elements(Cs),
+ A = t_list_elements(As, Opaques),
+ B = t_list_elements(Bs, Opaques),
+ C = t_list_elements(Cs, Opaques),
t_list(t_tuple([A, B, C]))
end
- end);
-type(lists, zipwith, 3, Xs) ->
- strict(arg_types(lists, zipwith, 3), Xs,
- fun ([F, _As, _Bs]) -> t_sup(t_list(t_fun_range(F)), t_nil()) end);
-type(lists, zipwith3, 4, Xs) ->
- strict(arg_types(lists, zipwith3, 4), Xs,
- fun ([F,_As,_Bs,_Cs]) -> t_sup(t_list(t_fun_range(F)), t_nil()) end);
+ end, Opaques);
+type(lists, zipwith, 3, Xs, Opaques) ->
+ strict(lists, zipwith, 3, Xs,
+ fun ([F, _As, _Bs]) -> t_sup(t_list(t_fun_range(F, Opaques)),
+ t_nil()) end, Opaques);
+type(lists, zipwith3, 4, Xs, Opaques) ->
+ strict(lists, zipwith3, 4, Xs,
+ fun ([F,_As,_Bs,_Cs]) -> t_sup(t_list(t_fun_range(F, Opaques)),
+ t_nil()) end, Opaques);
%%-- string -------------------------------------------------------------------
-type(string, chars, 2, Xs) -> % NOTE: added to avoid loss of information
- strict(arg_types(string, chars, 2), Xs, fun (_) -> t_string() end);
-type(string, chars, 3, Xs) -> % NOTE: added to avoid loss of information
- strict(arg_types(string, chars, 3), Xs,
+type(string, chars, 2, Xs, Opaques) -> % NOTE: added to avoid loss of info
+ strict(string, chars, 2, Xs, fun (_) -> t_string() end, Opaques);
+type(string, chars, 3, Xs, Opaques) -> % NOTE: added to avoid loss of info
+ strict(string, chars, 3, Xs,
fun ([Char, N, Tail]) ->
case t_is_nil(Tail) of
true ->
@@ -1623,10 +1687,10 @@ type(string, chars, 3, Xs) -> % NOTE: added to avoid loss of information
t_sup(t_sup(t_string(), Tail), t_cons(Char, Tail))
end
end
- end);
+ end, Opaques);
%%-----------------------------------------------------------------------------
-type(M, F, A, Xs) when is_atom(M), is_atom(F),
+type(M, F, A, Xs, _O) when is_atom(M), is_atom(F),
is_integer(A), 0 =< A, A =< 255 ->
strict(Xs, t_any()). % safe approximation for all functions.
@@ -1635,13 +1699,20 @@ type(M, F, A, Xs) when is_atom(M), is_atom(F),
%% Auxiliary functions
%%-----------------------------------------------------------------------------
-strict(Xs, Ts, F) ->
- %% io:format("inf lists arg~n1:~p~n2:~p ~n", [Xs, Ts]),
- Xs1 = inf_lists(Xs, Ts),
+strict(M, F, A, Xs, Fun, Opaques) ->
+ Ts = arg_types(M, F, A),
+ %% io:format("inf lists arg~nXs: ~p~nTs: ~p ~n", [Xs, Ts]),
+ Xs1 = inf_lists(Xs, Ts, Opaques),
%% io:format("inf lists return ~p ~n", [Xs1]),
case any_is_none_or_unit(Xs1) of
true -> t_none();
- false -> F(Xs1)
+ false -> Fun(Xs1)
+ end.
+
+strict2(Xs, X) ->
+ case any_is_none_or_unit(Xs) of
+ true -> t_none();
+ false -> X
end.
strict(Xs, X) ->
@@ -1650,9 +1721,9 @@ strict(Xs, X) ->
false -> X
end.
-inf_lists([X | Xs], [T | Ts]) ->
- [t_inf(X, T) | inf_lists(Xs, Ts)];
-inf_lists([], []) ->
+inf_lists([X | Xs], [T | Ts], Opaques) ->
+ [t_inf(X, T, Opaques) | inf_lists(Xs, Ts, Opaques)];
+inf_lists([], [], _Opaques) ->
[].
any_list(N) -> any_list(N, t_any()).
@@ -1670,20 +1741,43 @@ list_replace(1, E, [_X | Xs]) ->
any_is_none_or_unit(Ts) ->
lists:any(fun erl_types:t_is_none_or_unit/1, Ts).
-check_guard([X], Test, Type) ->
- check_guard_single(X, Test, Type).
+check_guard([X], Test, Type, Opaques) ->
+ check_guard_single(X, Test, Type, Opaques).
-check_guard_single(X, Test, Type) ->
+check_guard_single(X, Test, Type, Opaques) ->
case Test(X) of
true -> t_atom('true');
false ->
- case erl_types:t_is_opaque(X) of
- true -> t_none();
- false ->
- case t_is_none(t_inf(Type, X)) of
- true -> t_atom('false');
- false -> t_boolean()
- end
+ case t_is_none(t_inf(Type, X, Opaques)) of
+ true ->
+ case t_has_opaque_subtype(X, Opaques) of
+ true -> t_none();
+ false -> t_atom('false')
+ end;
+ false -> t_boolean()
+ end
+ end.
+
+check_record_tag(Tag, Y, Opaques) ->
+ case t_is_atom(Tag, Opaques) of
+ false ->
+ TagAtom = t_inf(Tag, t_atom(), Opaques),
+ case t_is_none(TagAtom) of
+ true ->
+ case t_has_opaque_subtype(Tag, Opaques) of
+ true -> t_none();
+ false -> t_atom('false')
+ end;
+ false -> t_boolean()
+ end;
+ true ->
+ case t_atom_vals(Tag, Opaques) of
+ [RealTag] ->
+ case t_atom_vals(Y, Opaques) of
+ [RealTag] -> t_atom('true');
+ _ -> t_boolean()
+ end;
+ _ -> t_boolean()
end
end.
@@ -1828,12 +1922,12 @@ negwidth(X, N) ->
false -> negwidth(X, N+1)
end.
-arith('bnot', X1) ->
- case t_is_integer(X1) of
+arith('bnot', X1, Opaques) ->
+ case t_is_integer(X1, Opaques) of
false -> error;
true ->
- Min1 = number_min(X1),
- Max1 = number_max(X1),
+ Min1 = number_min(X1, Opaques),
+ Max1 = number_max(X1, Opaques),
{ok, t_from_range(infinity_add(infinity_inv(Max1), -1),
infinity_add(infinity_inv(Min1), -1))}
end.
@@ -1907,13 +2001,13 @@ arith_bor_range_set({Min, Max}, [Int|IntList]) ->
IntList),
{infinity_bor(Min, SafeAnd), infinity_bor(Max, SafeAnd)}.
-arith_band(X1, X2) ->
- L1 = t_number_vals(X1),
- L2 = t_number_vals(X2),
- Min1 = number_min(X1),
- Max1 = number_max(X1),
- Min2 = number_min(X2),
- Max2 = number_max(X2),
+arith_band(X1, X2, Opaques) ->
+ L1 = t_number_vals(X1, Opaques),
+ L2 = t_number_vals(X2, Opaques),
+ Min1 = number_min(X1, Opaques),
+ Max1 = number_max(X1, Opaques),
+ Min2 = number_min(X2, Opaques),
+ Max2 = number_max(X2, Opaques),
case {L1 =:= unknown, L2 =:= unknown} of
{true, false} ->
arith_band_range_set(arith_band_ranges(Min1, Max1, Min2, Max2), L2);
@@ -1923,13 +2017,13 @@ arith_band(X1, X2) ->
arith_band_ranges(Min1, Max1, Min2, Max2)
end.
-arith_bor(X1, X2) ->
- L1 = t_number_vals(X1),
- L2 = t_number_vals(X2),
- Min1 = number_min(X1),
- Max1 = number_max(X1),
- Min2 = number_min(X2),
- Max2 = number_max(X2),
+arith_bor(X1, X2, Opaques) ->
+ L1 = t_number_vals(X1, Opaques),
+ L2 = t_number_vals(X2, Opaques),
+ Min1 = number_min(X1, Opaques),
+ Max1 = number_max(X1, Opaques),
+ Min2 = number_min(X2, Opaques),
+ Max2 = number_max(X2, Opaques),
case {L1 =:= unknown, L2 =:= unknown} of
{true, false} ->
arith_bor_range_set(arith_bor_ranges(Min1, Max1, Min2, Max2), L2);
@@ -1967,19 +2061,19 @@ arith_bor_ranges(Min1, Max1, Min2, Max2) ->
end,
{Min, Max}.
-arith(Op, X1, X2) ->
+arith(Op, X1, X2, Opaques) ->
%% io:format("arith ~p ~p ~p~n", [Op, X1, X2]),
- case t_is_integer(X1) andalso t_is_integer(X2) of
+ case t_is_integer(X1, Opaques) andalso t_is_integer(X2, Opaques) of
false -> error;
true ->
- L1 = t_number_vals(X1),
- L2 = t_number_vals(X2),
+ L1 = t_number_vals(X1, Opaques),
+ L2 = t_number_vals(X2, Opaques),
case (L1 =:= unknown) orelse (L2 =:= unknown) of
true ->
- Min1 = number_min(X1),
- Max1 = number_max(X1),
- Min2 = number_min(X2),
- Max2 = number_max(X2),
+ Min1 = number_min(X1, Opaques),
+ Max1 = number_max(X1, Opaques),
+ Min2 = number_min(X2, Opaques),
+ Max2 = number_max(X2, Opaques),
{NewMin, NewMax} =
case Op of
'+' -> {infinity_add(Min1, Min2), infinity_add(Max1, Max2)};
@@ -1992,8 +2086,8 @@ arith(Op, X1, X2) ->
'bsr' -> NewMin2 = infinity_inv(Max2),
NewMax2 = infinity_inv(Min2),
arith_bsl(Min1, Max1, NewMin2, NewMax2);
- 'band' -> arith_band(X1, X2);
- 'bor' -> arith_bor(X1, X2);
+ 'band' -> arith_band(X1, X2, Opaques);
+ 'bor' -> arith_bor(X1, X2, Opaques);
'bxor' -> arith_bor_ranges(Min1, Max1, Min2, Max2) %% overaprox.
end,
%% io:format("done arith ~p = ~p~n", [Op, {NewMin, NewMax}]),
@@ -2025,58 +2119,62 @@ arith(Op, X1, X2) ->
%% Comparison of terms
%%=============================================================================
-compare(Op, Lhs, Rhs) ->
- case t_is_none(t_inf(Lhs, Rhs)) of
+compare(Op, Lhs, Rhs, Opaques) ->
+ case t_is_none(t_inf(Lhs, Rhs, Opaques)) of
false -> t_boolean();
true ->
- case Op of
- '<' -> always_smaller(Lhs, Rhs);
- '>' -> always_smaller(Rhs, Lhs);
- '=<' -> always_smaller(Lhs, Rhs);
- '>=' -> always_smaller(Rhs, Lhs)
+ case opaque_args(erlang, Op, 2, [Lhs, Rhs], Opaques) =:= [] of
+ true ->
+ case Op of
+ '<' -> always_smaller(Lhs, Rhs, Opaques);
+ '>' -> always_smaller(Rhs, Lhs, Opaques);
+ '=<' -> always_smaller(Lhs, Rhs, Opaques);
+ '>=' -> always_smaller(Rhs, Lhs, Opaques)
+ end;
+ false -> t_none()
end
end.
-always_smaller(Type1, Type2) ->
- {Min1, Max1} = type_ranks(Type1),
- {Min2, Max2} = type_ranks(Type2),
+always_smaller(Type1, Type2, Opaques) ->
+ {Min1, Max1} = type_ranks(Type1, Opaques),
+ {Min2, Max2} = type_ranks(Type2, Opaques),
if Max1 < Min2 -> t_atom('true');
Min1 > Max2 -> t_atom('false');
true -> t_boolean()
end.
-type_ranks(Type) ->
- type_ranks(Type, 1, 0, 0, type_order()).
+type_ranks(Type, Opaques) ->
+ type_ranks(Type, 1, 0, 0, type_order(), Opaques).
-type_ranks(_Type, _I, Min, Max, []) -> {Min, Max};
-type_ranks(Type, I, Min, Max, [TypeClass|Rest]) ->
+type_ranks(_Type, _I, Min, Max, [], _Opaques) -> {Min, Max};
+type_ranks(Type, I, Min, Max, [TypeClass|Rest], Opaques) ->
{NewMin, NewMax} =
- case t_is_none(t_inf(Type, TypeClass)) of
+ case t_is_none(t_inf(Type, TypeClass, Opaques)) of
true -> {Min, Max};
false -> case Min of
0 -> {I, I};
_ -> {Min, I}
end
end,
- type_ranks(Type, I+1, NewMin, NewMax, Rest).
+ type_ranks(Type, I+1, NewMin, NewMax, Rest, Opaques).
type_order() ->
[t_number(), t_atom(), t_reference(), t_fun(), t_port(), t_pid(), t_tuple(),
t_list(), t_binary()].
-key_comparisons_fail(X0, KeyPos, TupleList) ->
- X = case t_is_number(t_inf(X0, t_number())) of
+key_comparisons_fail(X0, KeyPos, TupleList, Opaques) ->
+ X = case t_is_number(t_inf(X0, t_number(), Opaques), Opaques) of
false -> X0;
true -> t_number()
end,
lists:all(fun(Tuple) ->
Key = type(erlang, element, 2, [KeyPos, Tuple]),
- t_is_none(t_inf(Key, X))
+ t_is_none(t_inf(Key, X, Opaques))
end, TupleList).
%%=============================================================================
--spec arg_types(atom(), atom(), arity()) -> [erl_types:erl_type()] | 'unknown'.
+-spec arg_types(atom(), atom(), arity()) -> arg_types() | 'unknown'.
%%------- erlang --------------------------------------------------------------
arg_types(erlang, '!', 2) ->
@@ -2213,6 +2311,8 @@ arg_types(erlang, is_integer, 1) ->
[t_any()];
arg_types(erlang, is_list, 1) ->
[t_any()];
+arg_types(erlang, is_map, 1) ->
+ [t_any()];
arg_types(erlang, is_number, 1) ->
[t_any()];
arg_types(erlang, is_pid, 1) ->
@@ -2230,6 +2330,9 @@ arg_types(erlang, is_tuple, 1) ->
%% Guard bif, needs to be here.
arg_types(erlang, length, 1) ->
[t_list()];
+%% Guard bif, needs to be here.
+arg_types(erlang, map_size, 1) ->
+ [t_map()];
arg_types(erlang, make_tuple, 2) ->
[t_non_neg_fixnum(), t_any()]; % the value 0 is OK as first argument
arg_types(erlang, make_tuple, 3) ->
@@ -2351,12 +2454,12 @@ arg_types(hipe_bifs, fun_to_address, 1) ->
[t_mfa()];
%% arg_types(hipe_bifs, get_emu_address, 1) ->
%% [t_mfa()];
+arg_types(hipe_bifs, get_fe, 2) ->
+ [t_atom(), t_tuple([t_integer(), t_integer(), t_integer()])];
arg_types(hipe_bifs, get_rts_param, 1) ->
[t_fixnum()];
arg_types(hipe_bifs, invalidate_funinfo_native_addresses, 1) ->
[t_list(t_mfa())];
-arg_types(hipe_bifs, make_fe, 3) ->
- [t_integer(), t_atom(), t_tuple([t_integer(), t_integer(), t_integer()])];
%% arg_types(hipe_bifs, make_native_stub, 2) ->
%% [t_integer(), t_arity()];
arg_types(hipe_bifs, mark_referred_from, 1) ->
@@ -2385,6 +2488,8 @@ arg_types(hipe_bifs, set_funinfo_native_address, 3) ->
arg_types(hipe_bifs, set_native_address, 3);
arg_types(hipe_bifs, set_native_address, 3) ->
[t_mfa(), t_integer(), t_boolean()];
+arg_types(hipe_bifs, set_native_address_in_fe, 2) ->
+ [t_integer(), t_integer()];
arg_types(hipe_bifs, system_crc, 1) ->
[t_crc32()];
arg_types(hipe_bifs, term_to_word, 1) ->
@@ -2508,47 +2613,78 @@ arg_types(M, F, A) when is_atom(M), is_atom(F),
unknown. % safe approximation for all functions.
--spec is_known(atom(), atom(), arity()) -> boolean().
+-spec is_known(module(), atom(), arity()) -> boolean().
is_known(M, F, A) ->
arg_types(M, F, A) =/= unknown.
+-spec opaque_args(module(), atom(), arity(),
+ arg_types(), opaques()) -> [pos_integer()].
+
+%% Use this function to find out which argument caused empty type.
+
+opaque_args(_M, _F, _A, _Xs, 'universe') -> [];
+opaque_args(M, F, A, Xs, Opaques) ->
+ case kind_of_check(M, F, A) of
+ record ->
+ [X,Y|_] = Xs,
+ [1 ||
+ case t_is_tuple(X, Opaques) of
+ true ->
+ case t_tuple_subtypes(X, Opaques) of
+ unknown -> false;
+ List when length(List) >= 1 -> opaque_recargs(List, Y, Opaques)
+ end;
+ false -> t_has_opaque_subtype(X, Opaques)
+ end];
+ subtype ->
+ [N ||
+ {N, X} <- lists:zip(lists:seq(1, length(Xs)), Xs),
+ t_has_opaque_subtype(X, Opaques)];
+ find_unknown ->
+ [L, R] = Xs,
+ erl_types:t_find_unknown_opaque(L, R, Opaques);
+ no_check -> []
+ end.
--spec structure_inspecting_args(atom(), atom(), arity()) -> [1..255].
-
-structure_inspecting_args(erlang, element, 2) -> [2];
-structure_inspecting_args(erlang, is_atom, 1) -> [1];
-structure_inspecting_args(erlang, is_boolean, 1) -> [1];
-structure_inspecting_args(erlang, is_binary, 1) -> [1];
-structure_inspecting_args(erlang, is_bitstring, 1) -> [1];
-structure_inspecting_args(erlang, is_float, 1) -> [1];
-structure_inspecting_args(erlang, is_function, 1) -> [1];
-structure_inspecting_args(erlang, is_integer, 1) -> [1];
-structure_inspecting_args(erlang, is_list, 1) -> [1];
-structure_inspecting_args(erlang, is_number, 1) -> [1];
-structure_inspecting_args(erlang, is_pid, 1) -> [1];
-structure_inspecting_args(erlang, is_port, 1) -> [1];
-structure_inspecting_args(erlang, is_reference, 1) -> [1];
-structure_inspecting_args(erlang, is_tuple, 1) -> [1];
-structure_inspecting_args(erlang, length, 1) -> [1];
-%%structure_inspecting_args(erlang, setelement, 3) -> [2].
-structure_inspecting_args(_, _, _) -> []. % XXX: assume no arg needs inspection
-
-
-check_fun_application(Fun, Args) ->
- case t_is_fun(Fun) of
+kind_of_check(erlang, is_record, 3) ->
+ record;
+kind_of_check(erlang, is_record, 2) ->
+ record;
+kind_of_check(erlang, F, A) ->
+ case erl_internal:guard_bif(F, A) orelse erl_internal:bool_op(F, A) of
+ true -> subtype;
+ false ->
+ case erl_internal:comp_op(F, A) of
+ true -> find_unknown;
+ false -> no_check
+ end
+ end;
+kind_of_check(_M, _F, _A) -> no_check.
+
+opaque_recargs(Tuples, Y, Opaques) ->
+ Fun = fun(Tuple) ->
+ case t_tuple_args(Tuple, Opaques) of
+ [Tag|_] -> t_is_none(check_record_tag(Tag, Y, Opaques));
+ _ -> false
+ end
+ end,
+ lists:all(Fun, Tuples).
+
+check_fun_application(Fun, Args, Opaques) ->
+ case t_is_fun(Fun, Opaques) of
true ->
- case t_fun_args(Fun) of
+ case t_fun_args(Fun, Opaques) of
unknown ->
- case t_is_none_or_unit(t_fun_range(Fun)) of
+ case t_is_none_or_unit(t_fun_range(Fun, Opaques)) of
true -> error;
false -> ok
end;
FunDom when length(FunDom) =:= length(Args) ->
- case any_is_none_or_unit(inf_lists(FunDom, Args)) of
+ case any_is_none_or_unit(inf_lists(FunDom, Args, Opaques)) of
true -> error;
false ->
- case t_is_none_or_unit(t_fun_range(Fun)) of
+ case t_is_none_or_unit(t_fun_range(Fun, Opaques)) of
true -> error;
false -> ok
end
diff --git a/lib/hipe/cerl/erl_types.erl b/lib/hipe/cerl/erl_types.erl
index d7d8a878c5..67661130a5 100644
--- a/lib/hipe/cerl/erl_types.erl
+++ b/lib/hipe/cerl/erl_types.erl
@@ -2,7 +2,7 @@
%%
%% %CopyrightBegin%
%%
-%% Copyright Ericsson AB 2003-2013. All Rights Reserved.
+%% Copyright Ericsson AB 2003-2014. 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
@@ -42,15 +42,15 @@
max/2,
module_builtin_opaques/1,
min/2,
- number_max/1,
- number_min/1,
+ number_max/1, number_max/2,
+ number_min/1, number_min/2,
t_abstract_records/2,
t_any/0,
t_arity/0,
t_atom/0,
t_atom/1,
t_atoms/1,
- t_atom_vals/1,
+ t_atom_vals/1, t_atom_vals/2,
t_binary/0,
t_bitstr/0,
t_bitstr/2,
@@ -66,12 +66,14 @@
t_collect_vars/1,
t_cons/0,
t_cons/2,
- t_cons_hd/1,
- t_cons_tl/1,
+ t_cons_hd/1, t_cons_hd/2,
+ t_cons_tl/1, t_cons_tl/2,
t_constant/0,
- t_contains_opaque/1,
+ t_contains_opaque/1, t_contains_opaque/2,
+ t_decorate_with_opaque/3,
t_elements/1,
t_find_opaque_mismatch/2,
+ t_find_unknown_opaque/3,
t_fixnum/0,
t_map/2,
t_non_neg_fixnum/0,
@@ -87,18 +89,18 @@
t_fun/0,
t_fun/1,
t_fun/2,
- t_fun_args/1,
- t_fun_arity/1,
- t_fun_range/1,
- t_has_opaque_subtype/1,
+ t_fun_args/1, t_fun_args/2,
+ t_fun_arity/1, t_fun_arity/2,
+ t_fun_range/1, t_fun_range/2,
+ t_has_opaque_subtype/2,
t_has_var/1,
t_identifier/0,
%% t_improper_list/2,
- t_inf/2,
- t_inf/3,
- t_inf_lists/2,
- t_inf_lists/3,
- t_inf_lists_masked/3,
+ t_inf/1,
+ t_inf/2,
+ t_inf/3,
+ t_inf_lists/2,
+ t_inf_lists/3,
t_integer/0,
t_integer/1,
t_non_neg_integer/0,
@@ -107,45 +109,49 @@
t_iodata/0,
t_iolist/0,
t_is_any/1,
- t_is_atom/1,
- t_is_atom/2,
- t_is_binary/1,
- t_is_bitstr/1,
+ t_is_atom/1, t_is_atom/2,
+ t_is_any_atom/2, t_is_any_atom/3,
+ t_is_binary/1, t_is_binary/2,
+ t_is_bitstr/1, t_is_bitstr/2,
t_is_bitwidth/1,
- t_is_boolean/1,
+ t_is_boolean/1, t_is_boolean/2,
%% t_is_byte/1,
%% t_is_char/1,
- t_is_cons/1,
+ t_is_cons/1, t_is_cons/2,
t_is_constant/1,
t_is_equal/2,
t_is_fixnum/1,
- t_is_float/1,
- t_is_fun/1,
+ t_is_float/1, t_is_float/2,
+ t_is_fun/1, t_is_fun/2,
t_is_instance/2,
- t_is_integer/1,
+ t_is_integer/1, t_is_integer/2,
t_is_list/1,
+ t_is_map/1,
+ t_is_map/2,
t_is_matchstate/1,
- t_is_nil/1,
+ t_is_nil/1, t_is_nil/2,
t_is_non_neg_integer/1,
t_is_none/1,
t_is_none_or_unit/1,
- t_is_number/1,
- t_is_opaque/1,
- t_is_pid/1,
- t_is_port/1,
- t_is_maybe_improper_list/1,
- t_is_reference/1,
+ t_is_number/1, t_is_number/2,
+ t_is_opaque/1, t_is_opaque/2,
+ t_is_pid/1, t_is_pid/2,
+ t_is_port/1, t_is_port/2,
+ t_is_maybe_improper_list/1, t_is_maybe_improper_list/2,
+ t_is_reference/1, t_is_reference/2,
t_is_remote/1,
t_is_string/1,
t_is_subtype/2,
- t_is_tuple/1,
+ t_is_tuple/1, t_is_tuple/2,
t_is_unit/1,
t_is_var/1,
t_limit/2,
t_list/0,
t_list/1,
- t_list_elements/1,
+ t_list_elements/1, t_list_elements/2,
t_list_termination/1,
+ t_map/0,
+ t_map/1,
t_matchstate/0,
t_matchstate/2,
t_matchstate_present/1,
@@ -163,11 +169,8 @@
t_nonempty_string/0,
t_number/0,
t_number/1,
- t_number_vals/1,
+ t_number_vals/1, t_number_vals/2,
t_opaque_from_records/1,
- t_opaque_match_atom/2,
- t_opaque_match_record/2,
- t_opaque_matching_structure/2,
t_opaque_structure/1,
%% t_parameterized_module/0,
t_pid/0,
@@ -192,23 +195,23 @@
t_to_tlist/1,
t_tuple/0,
t_tuple/1,
- t_tuple_args/1,
- t_tuple_size/1,
+ t_tuple_args/1, t_tuple_args/2,
+ t_tuple_size/1, t_tuple_size/2,
t_tuple_sizes/1,
t_tuple_subtypes/1,
+ t_tuple_subtypes/2,
t_unify/2,
- t_unify/3,
t_unit/0,
- t_unopaque/1,
- t_unopaque/2,
- t_unopaque_on_mismatch/3,
+ t_unopaque/1, t_unopaque/2,
t_var/1,
t_var_name/1,
%% t_assign_variables_to_subtype/2,
type_is_defined/4,
record_field_diffs_to_string/2,
subst_all_vars_to_any/1,
+ subst_all_remote/2,
lift_list_to_pos_empty/1,
+ is_opaque_type/2,
is_erl_type/1,
atom_to_string/1
]).
@@ -226,7 +229,15 @@
-export([t_is_identifier/1]).
-endif.
--export_type([erl_type/0]).
+-export_type([erl_type/0, type_table/0, var_table/0]).
+
+%%-define(DEBUG, true).
+
+-ifdef(DEBUG).
+-define(debug(__A), __A).
+-else.
+-define(debug(__A), ok).
+-endif.
%%=============================================================================
%%
@@ -260,6 +271,7 @@
-define(function_tag, function).
-define(identifier_tag, identifier).
-define(list_tag, list).
+-define(map_tag, map).
-define(matchstate_tag, matchstate).
-define(nil_tag, nil).
-define(number_tag, number).
@@ -272,7 +284,7 @@
-define(var_tag, var).
-type tag() :: ?atom_tag | ?binary_tag | ?function_tag | ?identifier_tag
- | ?list_tag | ?matchstate_tag | ?nil_tag | ?number_tag
+ | ?list_tag | ?map_tag | ?matchstate_tag | ?nil_tag | ?number_tag
| ?opaque_tag | ?product_tag | ?remote_tag
| ?tuple_tag | ?tuple_set_tag | ?union_tag | ?var_tag.
@@ -310,6 +322,9 @@
-record(int_set, {set :: [integer()]}).
-record(int_rng, {from :: rng_elem(), to :: rng_elem()}).
+%% Note: the definition of #opaque{} was changed to 'mod' and 'name';
+%% it used to be an ordsets of {Mod, Name} pairs. The Dialyzer version
+%% was updated to 2.7 due to this change.
-record(opaque, {mod :: module(), name :: atom(),
args = [] :: [erl_type()], struct :: erl_type()}).
-record(remote, {mod:: module(), name :: atom(), args = [] :: [erl_type()]}).
@@ -329,6 +344,7 @@
-define(nonempty_list(Types, Term),?list(Types, Term, ?nonempty_qual)).
-define(number(Set, Qualifier), #c{tag=?number_tag, elements=Set,
qualifier=Qualifier}).
+-define(map(Pairs), #c{tag=?map_tag, elements=Pairs}).
-define(opaque(Optypes), #c{tag=?opaque_tag, elements=Optypes}).
-define(product(Types), #c{tag=?product_tag, elements=Types}).
-define(remote(RemTypes), #c{tag=?remote_tag, elements=RemTypes}).
@@ -346,22 +362,34 @@
-define(integer_non_neg, ?int_range(0, pos_inf)).
-define(integer_neg, ?int_range(neg_inf, -1)).
+-type opaques() :: [erl_type()] | 'universe'.
+
+-type record_key() :: {'record', atom()}.
+-type type_key() :: {'type' | 'opaque', atom(), arity()}.
+-type record_value() :: orddict:orddict(). % XXX. To be refined
+-type type_value() :: {module(), erl_type(), atom()}.
+-type type_table() :: dict:dict(record_key(), record_value())
+ | dict:dict(type_key(), type_value()).
+
+-type var_table() :: dict:dict(atom(), erl_type()).
+
%%-----------------------------------------------------------------------------
%% Unions
%%
--define(union(List), #c{tag=?union_tag, elements=[_,_,_,_,_,_,_,_,_,_]=List}).
-
--define(atom_union(T), ?union([T,?none,?none,?none,?none,?none,?none,?none,?none,?none])).
--define(bitstr_union(T), ?union([?none,T,?none,?none,?none,?none,?none,?none,?none,?none])).
--define(function_union(T), ?union([?none,?none,T,?none,?none,?none,?none,?none,?none,?none])).
--define(identifier_union(T), ?union([?none,?none,?none,T,?none,?none,?none,?none,?none,?none])).
--define(list_union(T), ?union([?none,?none,?none,?none,T,?none,?none,?none,?none,?none])).
--define(number_union(T), ?union([?none,?none,?none,?none,?none,T,?none,?none,?none,?none])).
--define(tuple_union(T), ?union([?none,?none,?none,?none,?none,?none,T,?none,?none,?none])).
--define(matchstate_union(T), ?union([?none,?none,?none,?none,?none,?none,?none,T,?none,?none])).
--define(opaque_union(T), ?union([?none,?none,?none,?none,?none,?none,?none,?none,T,?none])).
--define(remote_union(T), ?union([?none,?none,?none,?none,?none,?none,?none,?none,?none,T])).
+-define(union(List), #c{tag=?union_tag, elements=[_,_,_,_,_,_,_,_,_,_,_]=List}).
+
+-define(atom_union(T), ?union([T,?none,?none,?none,?none,?none,?none,?none,?none,?none,?none])).
+-define(bitstr_union(T), ?union([?none,T,?none,?none,?none,?none,?none,?none,?none,?none,?none])).
+-define(function_union(T), ?union([?none,?none,T,?none,?none,?none,?none,?none,?none,?none,?none])).
+-define(identifier_union(T), ?union([?none,?none,?none,T,?none,?none,?none,?none,?none,?none,?none])).
+-define(list_union(T), ?union([?none,?none,?none,?none,T,?none,?none,?none,?none,?none,?none])).
+-define(number_union(T), ?union([?none,?none,?none,?none,?none,T,?none,?none,?none,?none,?none])).
+-define(tuple_union(T), ?union([?none,?none,?none,?none,?none,?none,T,?none,?none,?none,?none])).
+-define(matchstate_union(T), ?union([?none,?none,?none,?none,?none,?none,?none,T,?none,?none,?none])).
+-define(opaque_union(T), ?union([?none,?none,?none,?none,?none,?none,?none,?none,T,?none,?none])).
+-define(remote_union(T), ?union([?none,?none,?none,?none,?none,?none,?none,?none,?none,T,?none])).
+-define(map_union(T), ?union([?none,?none,?none,?none,?none,?none,?none,?none,?none,?none,T])).
-define(integer_union(T), ?number_union(T)).
-define(float_union(T), ?number_union(T)).
-define(nil_union(T), ?list_union(T)).
@@ -384,8 +412,11 @@ t_any() ->
-spec t_is_any(erl_type()) -> boolean().
-t_is_any(?any) -> true;
-t_is_any(_) -> false.
+t_is_any(Type) ->
+ do_opaque(Type, 'universe', fun is_any/1).
+
+is_any(?any) -> true;
+is_any(_) -> false.
-spec t_none() -> erl_type().
@@ -407,16 +438,25 @@ t_opaque(Mod, Name, Args, Struct) ->
O = #opaque{mod = Mod, name = Name, args = Args, struct = Struct},
?opaque(set_singleton(O)).
+-spec t_is_opaque(erl_type(), [erl_type()]) -> boolean().
+
+t_is_opaque(?opaque(_) = Type, Opaques) ->
+ not is_opaque_type(Type, Opaques);
+t_is_opaque(_Type, _Opaques) -> false.
+
-spec t_is_opaque(erl_type()) -> boolean().
t_is_opaque(?opaque(_)) -> true;
t_is_opaque(_) -> false.
--spec t_has_opaque_subtype(erl_type()) -> boolean().
+-spec t_has_opaque_subtype(erl_type(), opaques()) -> boolean().
+
+t_has_opaque_subtype(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun has_opaque_subtype/1).
-t_has_opaque_subtype(?union(Ts)) ->
+has_opaque_subtype(?union(Ts)) ->
lists:any(fun t_is_opaque/1, Ts);
-t_has_opaque_subtype(T) ->
+has_opaque_subtype(T) ->
t_is_opaque(T).
-spec t_opaque_structure(erl_type()) -> erl_type().
@@ -424,74 +464,65 @@ t_has_opaque_subtype(T) ->
t_opaque_structure(?opaque(Elements)) ->
t_sup([Struct || #opaque{struct = Struct} <- ordsets:to_list(Elements)]).
--spec t_opaque_module(erl_type()) -> module().
+-spec t_opaque_modules(erl_type()) -> [module()].
-t_opaque_module(?opaque(Elements)) ->
+t_opaque_modules(?opaque(Elements)) ->
case ordsets:size(Elements) of
1 ->
- [#opaque{mod = Module}] = ordsets:to_list(Elements),
- Module;
+ [#opaque{mod = Mod}] = set_to_list(Elements),
+ [Mod];
_ -> throw({error, "Unexpected multiple opaque types"})
end.
-%% This only makes sense if we know that Type matches Opaque
--spec t_opaque_matching_structure(erl_type(), erl_type()) -> erl_type().
-
-t_opaque_matching_structure(Type, Opaque) ->
- OpaqueStruct = t_opaque_structure(Opaque),
- case OpaqueStruct of
- ?union(L1) ->
- case Type of
- ?union(_L2) -> OpaqueStruct;
- _OtherType -> t_opaque_matching_structure_list(Type, L1)
- end;
- ?tuple_set(_Set1) = TupleSet ->
- case Type of
- ?tuple_set(_Set2) -> OpaqueStruct;
- _ -> t_opaque_matching_structure_list(Type, t_tuple_subtypes(TupleSet))
- end;
- _Other -> OpaqueStruct
- end.
-
-t_opaque_matching_structure_list(Type, List) ->
- NewList = [t_inf(Element, Type) || Element <- List],
- Results = [NotNone || NotNone <- NewList, NotNone =/= ?none],
- case Results of
- [] -> ?none;
- [First|_] -> First
- end.
-
-spec t_contains_opaque(erl_type()) -> boolean().
-t_contains_opaque(?any) -> false;
-t_contains_opaque(?none) -> false;
-t_contains_opaque(?unit) -> false;
-t_contains_opaque(?atom(_Set)) -> false;
-t_contains_opaque(?bitstr(_Unit, _Base)) -> false;
-t_contains_opaque(?float) -> false;
-t_contains_opaque(?function(Domain, Range)) ->
- t_contains_opaque(Domain) orelse t_contains_opaque(Range);
-t_contains_opaque(?identifier(_Types)) -> false;
-t_contains_opaque(?integer(_Types)) -> false;
-t_contains_opaque(?int_range(_From, _To)) -> false;
-t_contains_opaque(?int_set(_Set)) -> false;
-t_contains_opaque(?list(Type, _, _)) -> t_contains_opaque(Type);
-t_contains_opaque(?matchstate(_P, _Slots)) -> false;
-t_contains_opaque(?nil) -> false;
-t_contains_opaque(?number(_Set, _Tag)) -> false;
-t_contains_opaque(?opaque(_)) -> true;
-t_contains_opaque(?product(Types)) -> list_contains_opaque(Types);
-t_contains_opaque(?tuple(?any, _, _)) -> false;
-t_contains_opaque(?tuple(Types, _, _)) -> list_contains_opaque(Types);
-t_contains_opaque(?tuple_set(_Set) = T) ->
- list_contains_opaque(t_tuple_subtypes(T));
-t_contains_opaque(?union(List)) -> list_contains_opaque(List);
-t_contains_opaque(?var(_Id)) -> false.
-
--spec list_contains_opaque([erl_type()]) -> boolean().
-
-list_contains_opaque(List) ->
- lists:any(fun t_contains_opaque/1, List).
+t_contains_opaque(Type) ->
+ t_contains_opaque(Type, []).
+
+%% Returns 'true' iff there is an opaque type that is *not* one of
+%% the types of the second argument.
+
+-spec t_contains_opaque(erl_type(), [erl_type()]) -> boolean().
+
+t_contains_opaque(?any, _Opaques) -> false;
+t_contains_opaque(?none, _Opaques) -> false;
+t_contains_opaque(?unit, _Opaques) -> false;
+t_contains_opaque(?atom(_Set), _Opaques) -> false;
+t_contains_opaque(?bitstr(_Unit, _Base), _Opaques) -> false;
+t_contains_opaque(?float, _Opaques) -> false;
+t_contains_opaque(?function(Domain, Range), Opaques) ->
+ t_contains_opaque(Domain, Opaques)
+ orelse t_contains_opaque(Range, Opaques);
+t_contains_opaque(?identifier(_Types), _Opaques) -> false;
+t_contains_opaque(?integer(_Types), _Opaques) -> false;
+t_contains_opaque(?int_range(_From, _To), _Opaques) -> false;
+t_contains_opaque(?int_set(_Set), _Opaques) -> false;
+t_contains_opaque(?list(Type, Tail, _), Opaques) ->
+ t_contains_opaque(Type, Opaques) orelse t_contains_opaque(Tail, Opaques);
+t_contains_opaque(?map(_) = Map, Opaques) ->
+ list_contains_opaque(map_values(Map), Opaques) orelse
+ list_contains_opaque(map_keys(Map), Opaques);
+t_contains_opaque(?matchstate(_P, _Slots), _Opaques) -> false;
+t_contains_opaque(?nil, _Opaques) -> false;
+t_contains_opaque(?number(_Set, _Tag), _Opaques) -> false;
+t_contains_opaque(?opaque(_)=T, Opaques) ->
+ not is_opaque_type(T, Opaques)
+ orelse t_contains_opaque(t_opaque_structure(T));
+t_contains_opaque(?product(Types), Opaques) ->
+ list_contains_opaque(Types, Opaques);
+t_contains_opaque(?tuple(?any, _, _), _Opaques) -> false;
+t_contains_opaque(?tuple(Types, _, _), Opaques) ->
+ list_contains_opaque(Types, Opaques);
+t_contains_opaque(?tuple_set(_Set) = T, Opaques) ->
+ list_contains_opaque(t_tuple_subtypes(T), Opaques);
+t_contains_opaque(?union(List), Opaques) ->
+ list_contains_opaque(List, Opaques);
+t_contains_opaque(?var(_Id), _Opaques) -> false.
+
+-spec list_contains_opaque([erl_type()], [erl_type()]) -> boolean().
+
+list_contains_opaque(List, Opaques) ->
+ lists:any(fun(E) -> t_contains_opaque(E, Opaques) end, List).
%% t_find_opaque_mismatch/2 of two types should only be used if their
%% t_inf is t_none() due to some opaque type violation.
@@ -506,9 +537,12 @@ t_find_opaque_mismatch(T1, T2) ->
t_find_opaque_mismatch(?any, _Type, _TopType) -> error;
t_find_opaque_mismatch(?none, _Type, _TopType) -> error;
-t_find_opaque_mismatch(?list(T1, _, _), ?list(T2, _, _), TopType) ->
- t_find_opaque_mismatch(T1, T2, TopType);
+t_find_opaque_mismatch(?list(T1, Tl1, _), ?list(T2, Tl2, _), TopType) ->
+ t_find_opaque_mismatch_ordlists([T1, Tl1], [T2, Tl2], TopType);
t_find_opaque_mismatch(_T1, ?opaque(_) = T2, TopType) -> {ok, TopType, T2};
+t_find_opaque_mismatch(?opaque(_) = T1, _T2, TopType) ->
+ %% The generated message is somewhat misleading:
+ {ok, TopType, T1};
t_find_opaque_mismatch(?product(T1), ?product(T2), TopType) ->
t_find_opaque_mismatch_ordlists(T1, T2, TopType);
t_find_opaque_mismatch(?tuple(T1, Arity, _), ?tuple(T2, Arity, _), TopType) ->
@@ -538,7 +572,169 @@ t_find_opaque_mismatch_list([H|T]) ->
error -> t_find_opaque_mismatch_list(T)
end.
--spec t_opaque_from_records(dict()) -> [erl_type()].
+-spec t_find_unknown_opaque(erl_type(), erl_type(), opaques()) ->
+ [pos_integer()].
+
+%% The nice thing about using two types and t_inf() as compared to
+%% calling t_contains_opaque/2 is that the traversal stops when
+%% there is a mismatch which means that unknown opaque types "below"
+%% the mismatch are not found.
+%% XXX. Returns one element even if both oparands contain opaque types.
+%% XXX. Slow since t_inf() is called but the results are ignored.
+t_find_unknown_opaque(_T1, _T2, 'universe') -> [];
+t_find_unknown_opaque(T1, T2, Opaques) ->
+ try t_inf(T1, T2, {match, Opaques}) of
+ _ -> []
+ catch throw:N when is_integer(N) -> [N]
+ end.
+
+-spec t_decorate_with_opaque(erl_type(), erl_type(), [erl_type()]) -> erl_type().
+
+%% The first argument can contain opaque types. The second argument
+%% is assumed to be taken from the contract.
+
+t_decorate_with_opaque(T1, T2, Opaques) ->
+ case t_is_equal(T1, T2) orelse not t_contains_opaque(T2) of
+ true -> T1;
+ false ->
+ T = t_inf(T1, T2),
+ case t_contains_opaque(T) of
+ false -> T1;
+ true ->
+ R = decorate(T1, T, Opaques),
+ ?debug(case catch t_is_equal(t_unopaque(R), t_unopaque(T1)) of
+ true -> ok;
+ false ->
+ io:format("T1 = ~p,\n", [T1]),
+ io:format("T2 = ~p,\n", [T2]),
+ io:format("O = ~p,\n", [Opaques]),
+ io:format("erl_types:t_decorate_with_opaque(T1,T2,O).\n"),
+ throw({error, "Failed to handle opaque types"})
+ end),
+ R
+ end
+ end.
+
+decorate(Type, ?none, _Opaques) -> Type;
+decorate(?function(Domain, Range), ?function(D, R), Opaques) ->
+ ?function(decorate(Domain, D, Opaques), decorate(Range, R, Opaques));
+decorate(?list(Types, Tail, Size), ?list(Ts, Tl, _Sz), Opaques) ->
+ ?list(decorate(Types, Ts, Opaques), decorate(Tail, Tl, Opaques), Size);
+decorate(?product(Types), ?product(Ts), Opaques) ->
+ ?product(list_decorate(Types, Ts, Opaques));
+decorate(?tuple(_, _, _)=T, ?tuple(?any, _, _), _Opaques) -> T;
+decorate(?tuple(?any, _, _)=T, ?tuple(_, _, _), _Opaques) -> T;
+decorate(?tuple(Types, Arity, Tag), ?tuple(Ts, Arity, _), Opaques) ->
+ ?tuple(list_decorate(Types, Ts, Opaques), Arity, Tag);
+decorate(?tuple_set(List), ?tuple(_, Arity, _) = T, Opaques) ->
+ decorate_tuple_sets(List, [{Arity, [T]}], Opaques);
+decorate(?tuple_set(List), ?tuple_set(L), Opaques) ->
+ decorate_tuple_sets(List, L, Opaques);
+decorate(?union(List), T, Opaques) when T =/= ?any ->
+ ?union(L) = force_union(T),
+ union_decorate(List, L, Opaques);
+decorate(?opaque(_)=T, _, _Opaques) -> T;
+decorate(T, ?union(L), Opaques) when T =/= ?any ->
+ ?union(List) = force_union(T),
+ union_decorate(List, L, Opaques);
+decorate(Type, ?opaque(_)=T, Opaques) ->
+ decorate_with_opaque(Type, T, Opaques);
+decorate(Type, _T, _Opaques) -> Type.
+
+%% Note: it is important that #opaque.struct is a subtype of the
+%% opaque type.
+decorate_with_opaque(Type, ?opaque(Set2), Opaques) ->
+ case decoration(set_to_list(Set2), Type, Opaques, [], false) of
+ {[], false} -> Type;
+ {List, All} when List =/= [] ->
+ NewType = ?opaque(ordsets:from_list(List)),
+ case All of
+ true -> NewType;
+ false -> t_sup(NewType, Type)
+ end
+ end.
+
+decoration([#opaque{struct = S} = Opaque|OpaqueTypes], Type, Opaques,
+ NewOpaqueTypes0, All) ->
+ IsOpaque = is_opaque_type2(Opaque, Opaques),
+ I = t_inf(Type, S),
+ case not IsOpaque orelse t_is_none(I) of
+ true -> decoration(OpaqueTypes, Type, Opaques, NewOpaqueTypes0, All);
+ false ->
+ NewOpaque = Opaque#opaque{struct = decorate(I, S, Opaques)},
+ NewAll = All orelse t_is_equal(I, Type),
+ NewOpaqueTypes = [NewOpaque|NewOpaqueTypes0],
+ decoration(OpaqueTypes, Type, Opaques, NewOpaqueTypes, NewAll)
+ end;
+decoration([], _Type, _Opaques, NewOpaqueTypes, All) ->
+ {NewOpaqueTypes, All}.
+
+-spec list_decorate([erl_type()], [erl_type()], opaques()) -> [erl_type()].
+
+list_decorate(List, L, Opaques) ->
+ [decorate(Elem, E, Opaques) || {Elem, E} <- lists:zip(List, L)].
+
+union_decorate(U1, U2, Opaques) ->
+ Union = union_decorate(U1, U2, Opaques, 0, []),
+ [A,B,F,I,L,N,T,M,_,_R,Map] = U1,
+ [_,_,_,_,_,_,_,_,Opaque,_,_] = U2,
+ List = [A,B,F,I,L,N,T,M,Map],
+ DecList = [Dec ||
+ E <- List,
+ not t_is_none(E),
+ not t_is_none(Dec = decorate(E, Opaque, Opaques))],
+ t_sup([Union|DecList]).
+
+union_decorate([?none|Left1], [_|Left2], Opaques, N, Acc) ->
+ union_decorate(Left1, Left2, Opaques, N, [?none|Acc]);
+union_decorate([T1|Left1], [?none|Left2], Opaques, N, Acc) ->
+ union_decorate(Left1, Left2, Opaques, N+1, [T1|Acc]);
+union_decorate([T1|Left1], [T2|Left2], Opaques, N, Acc) ->
+ union_decorate(Left1, Left2, Opaques, N+1, [decorate(T1, T2, Opaques)|Acc]);
+union_decorate([], [], _Opaques, N, Acc) ->
+ if N =:= 0 -> ?none;
+ N =:= 1 ->
+ [Type] = [T || T <- Acc, T =/= ?none],
+ Type;
+ N >= 2 -> ?union(lists:reverse(Acc))
+ end.
+
+decorate_tuple_sets(List, L, Opaques) ->
+ decorate_tuple_sets(List, L, Opaques, []).
+
+decorate_tuple_sets([{Arity, Tuples}|List], [{Arity, Ts}|L], Opaques, Acc) ->
+ DecTs = decorate_tuples_in_sets(Tuples, Ts, Opaques),
+ decorate_tuple_sets(List, L, Opaques, [{Arity, DecTs}|Acc]);
+decorate_tuple_sets([ArTup|List], L, Opaques, Acc) ->
+ decorate_tuple_sets(List, L, Opaques, [ArTup|Acc]);
+decorate_tuple_sets([], _L, _Opaques, Acc) ->
+ ?tuple_set(lists:reverse(Acc)).
+
+decorate_tuples_in_sets([?tuple(Elements, _, ?any)], Ts, Opaques) ->
+ NewList = [list_decorate(Elements, Es, Opaques) || ?tuple(Es, _, _) <- Ts],
+ case t_sup([t_tuple(Es) || Es <- NewList]) of
+ ?tuple_set([{_Arity, Tuples}]) -> Tuples;
+ ?tuple(_, _, _)=Tuple -> [Tuple]
+ end;
+decorate_tuples_in_sets(Tuples, Ts, Opaques) ->
+ decorate_tuples_in_sets(Tuples, Ts, Opaques, []).
+
+decorate_tuples_in_sets([?tuple(Elements, Arity, Tag1) = T1|Tuples] = L1,
+ [?tuple(Es, Arity, Tag2)|Ts] = L2, Opaques, Acc) ->
+ if
+ Tag1 < Tag2 -> decorate_tuples_in_sets(Tuples, L2, Opaques, [T1|Acc]);
+ Tag1 > Tag2 -> decorate_tuples_in_sets(L1, Ts, Opaques, Acc);
+ Tag1 =:= Tag2 ->
+ NewElements = list_decorate(Elements, Es, Opaques),
+ NewAcc = [?tuple(NewElements, Arity, Tag1)|Acc],
+ decorate_tuples_in_sets(Tuples, Ts, Opaques, NewAcc)
+ end;
+decorate_tuples_in_sets([T1|Tuples], L2, Opaques, Acc) ->
+ decorate_tuples_in_sets(Tuples, L2, Opaques, [T1|Acc]);
+decorate_tuples_in_sets([], _L, _Opaques, Acc) ->
+ lists:reverse(Acc).
+
+-spec t_opaque_from_records(type_table()) -> [erl_type()].
t_opaque_from_records(RecDict) ->
OpaqueRecDict =
@@ -549,54 +745,17 @@ t_opaque_from_records(RecDict) ->
end
end, RecDict),
OpaqueTypeDict =
- dict:map(fun({opaque, Name, _Arity}, {Module, Type, ArgNames}) ->
- case ArgNames of
- [] ->
- t_opaque(Module, Name, [], t_from_form(Type, RecDict));
- _ ->
- throw({error,"Polymorphic opaque types not supported yet"})
- end
+ dict:map(fun({opaque, Name, _Arity}, {Module, _Type, ArgNames}) ->
+ %% Args = args_to_types(ArgNames),
+ %% List = lists:zip(ArgNames, Args),
+ %% TmpVarDict = dict:from_list(List),
+ %% Rep = t_from_form(Type, RecDict, TmpVarDict),
+ Rep = t_none(), % not used for anything right now
+ Args = [t_any() || _ <- ArgNames],
+ skip_opaque_alias(Rep, Module, Name, Args)
end, OpaqueRecDict),
[OpaqueType || {_Key, OpaqueType} <- dict:to_list(OpaqueTypeDict)].
--spec t_opaque_match_atom(erl_type(), [erl_type()]) -> [erl_type()].
-
-t_opaque_match_atom(?atom(_) = Atom, Opaques) ->
- case t_atom_vals(Atom) of
- unknown -> [];
- _ -> [O || O <- Opaques, t_inf(Atom, O, opaque) =/= ?none,
- t_opaque_atom_vals(t_opaque_structure(O)) =/= unknown]
- end;
-t_opaque_match_atom(_, _) -> [].
-
--spec t_opaque_atom_vals(erl_type()) -> 'unknown' | [atom(),...].
-
-t_opaque_atom_vals(OpaqueStruct) ->
- case OpaqueStruct of
- ?atom(_) -> t_atom_vals(OpaqueStruct);
- ?union([Atom,_,_,_,_,_,_,_,_,_]) -> t_atom_vals(Atom);
- _ -> unknown
- end.
-
--spec t_opaque_match_record(erl_type(), [erl_type()]) -> [erl_type()].
-
-t_opaque_match_record(?tuple([?atom(_) = Tag|_Fields], _, _) = Rec, Opaques) ->
- [O || O <- Opaques, t_inf(Rec, O, opaque) =/= ?none,
- lists:member(Tag, t_opaque_tuple_tags(t_opaque_structure(O)))];
-t_opaque_match_record(_, _) -> [].
-
--spec t_opaque_tuple_tags(erl_type()) -> [erl_type()].
-
-t_opaque_tuple_tags(OpaqueStruct) ->
- case OpaqueStruct of
- ?tuple([?atom(_) = Tag|_Fields], _, _) -> [Tag];
- ?tuple_set(_) = TupleSet ->
- Tuples = t_tuple_subtypes(TupleSet),
- lists:flatten([t_opaque_tuple_tags(T) || T <- Tuples]);
- ?union([_,_,_,_,_,_,Tuples,_,_,_]) -> t_opaque_tuple_tags(Tuples);
- _ -> []
- end.
-
%% Decompose opaque instances of type arg2 to structured types, in arg1
%% XXX: Same as t_unopaque
-spec t_struct_from_opaque(erl_type(), [erl_type()]) -> erl_type().
@@ -605,9 +764,10 @@ t_struct_from_opaque(?function(Domain, Range), Opaques) ->
?function(t_struct_from_opaque(Domain, Opaques),
t_struct_from_opaque(Range, Opaques));
t_struct_from_opaque(?list(Types, Term, Size), Opaques) ->
- ?list(t_struct_from_opaque(Types, Opaques), Term, Size);
+ ?list(t_struct_from_opaque(Types, Opaques),
+ t_struct_from_opaque(Term, Opaques), Size);
t_struct_from_opaque(?opaque(_) = T, Opaques) ->
- case lists:member(T, Opaques) of
+ case is_opaque_type(T, Opaques) of
true -> t_opaque_structure(T);
false -> T
end;
@@ -627,24 +787,10 @@ t_struct_from_opaque(Type, _Opaques) -> Type.
list_struct_from_opaque(Types, Opaques) ->
[t_struct_from_opaque(Type, Opaques) || Type <- Types].
--spec t_unopaque_on_mismatch(erl_type(), erl_type(), [erl_type()]) -> erl_type().
-
-t_unopaque_on_mismatch(GenType, Type, Opaques) ->
- case t_inf(GenType, Type) of
- ?none ->
- Unopaqued = t_unopaque(Type, Opaques),
- %% XXX: Unions might be a problem, must investigate.
- case t_inf(GenType, Unopaqued) of
- ?none -> Type;
- _ -> Unopaqued
- end;
- _ -> Type
- end.
-
-spec module_builtin_opaques(module()) -> [erl_type()].
module_builtin_opaques(Module) ->
- [O || O <- all_opaque_builtins(), t_opaque_module(O) =:= Module].
+ [O || O <- all_opaque_builtins(), lists:member(Module, t_opaque_modules(O))].
%%-----------------------------------------------------------------------------
%% Remote types: these types are used for preprocessing;
@@ -657,10 +803,15 @@ t_remote(Mod, Name, Args) ->
-spec t_is_remote(erl_type()) -> boolean().
-t_is_remote(?remote(_)) -> true;
-t_is_remote(_) -> false.
+t_is_remote(Type) ->
+ do_opaque(Type, 'universe', fun is_remote/1).
+
+is_remote(?remote(_)) -> true;
+is_remote(_) -> false.
--spec t_solve_remote(erl_type(), set(), dict()) -> erl_type().
+-type mod_records() :: dict:dict(module(), type_table()).
+
+-spec t_solve_remote(erl_type(), sets:set(mfa()), mod_records()) -> erl_type().
t_solve_remote(Type, ExpTypes, Records) ->
{RT, _RR} = t_solve_remote(Type, ExpTypes, Records, []),
@@ -697,8 +848,12 @@ t_solve_remote(?union(List), ET, R, C) ->
{t_sup(RL), RR};
t_solve_remote(T, _ET, _R, _C) -> {T, []}.
-t_solve_remote_type(#remote{mod = RemMod, name = Name, args = Args} = RemType,
+t_solve_remote_type(#remote{mod = RemMod, name = Name, args = Args0} = RemType,
ET, R, C) ->
+ Args = lists:map(fun(A) ->
+ {Arg, _} = t_solve_remote(A, ET, R, C),
+ Arg
+ end, Args0),
ArgsLen = length(Args),
case dict:find(RemMod, R) of
error ->
@@ -744,9 +899,7 @@ t_solve_remote_type(#remote{mod = RemMod, name = Name, args = Args} = RemType,
true -> t_limit(NewRep, ?REC_TYPE_LIMIT);
false -> NewRep
end,
- {t_from_form({opaque, -1, Name, {Mod, Args, RT1}},
- RemDict, TmpVarDict),
- RetRR};
+ {skip_opaque_alias(RT1, Mod, Name, Args), RetRR};
error ->
Msg = io_lib:format("Unable to find remote type ~w:~w()\n",
[RemMod, Name]),
@@ -827,40 +980,75 @@ t_atoms(List) when is_list(List) ->
-spec t_atom_vals(erl_type()) -> 'unknown' | [atom(),...].
-t_atom_vals(?atom(?any)) -> unknown;
-t_atom_vals(?atom(Set)) -> set_to_list(Set);
-t_atom_vals(Other) ->
+t_atom_vals(Type) ->
+ t_atom_vals(Type, 'universe').
+
+-spec t_atom_vals(erl_type(), opaques()) -> 'unknown' | [atom(),...].
+
+t_atom_vals(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun atom_vals/1).
+
+atom_vals(?atom(?any)) -> unknown;
+atom_vals(?atom(Set)) -> set_to_list(Set);
+atom_vals(?opaque(_)) -> unknown;
+atom_vals(Other) ->
?atom(_) = Atm = t_inf(t_atom(), Other),
- t_atom_vals(Atm).
+ atom_vals(Atm).
-spec t_is_atom(erl_type()) -> boolean().
-t_is_atom(?atom(_)) -> true;
-t_is_atom(_) -> false.
+t_is_atom(Type) ->
+ t_is_atom(Type, 'universe').
+
+-spec t_is_atom(erl_type(), opaques()) -> boolean().
+
+t_is_atom(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_atom1/1).
+
+is_atom1(?atom(_)) -> true;
+is_atom1(_) -> false.
--spec t_is_atom(atom(), erl_type()) -> boolean().
+-spec t_is_any_atom(atom(), erl_type()) -> boolean().
-t_is_atom(Atom, ?atom(?any)) when is_atom(Atom) -> false;
-t_is_atom(Atom, ?atom(Set)) when is_atom(Atom) -> set_is_singleton(Atom, Set);
-t_is_atom(Atom, _) when is_atom(Atom) -> false.
+t_is_any_atom(Atom, SomeAtomsType) ->
+ t_is_any_atom(Atom, SomeAtomsType, 'universe').
+
+-spec t_is_any_atom(atom(), erl_type(), opaques()) -> boolean().
+
+t_is_any_atom(Atom, SomeAtomsType, Opaques) ->
+ do_opaque(SomeAtomsType, Opaques,
+ fun(AtomsType) -> is_any_atom(Atom, AtomsType) end).
+
+is_any_atom(Atom, ?atom(?any)) when is_atom(Atom) -> false;
+is_any_atom(Atom, ?atom(Set)) when is_atom(Atom) ->
+ set_is_singleton(Atom, Set);
+is_any_atom(Atom, _) when is_atom(Atom) -> false.
%%------------------------------------
+-spec t_is_boolean(erl_type()) -> boolean().
+
+t_is_boolean(Type) ->
+ t_is_boolean(Type, 'universe').
+
+-spec t_is_boolean(erl_type(), opaques()) -> boolean().
+
+t_is_boolean(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_boolean/1).
+
-spec t_boolean() -> erl_type().
t_boolean() ->
?atom(set_from_list([false, true])).
--spec t_is_boolean(erl_type()) -> boolean().
-
-t_is_boolean(?atom(?any)) -> false;
-t_is_boolean(?atom(Set)) ->
+is_boolean(?atom(?any)) -> false;
+is_boolean(?atom(Set)) ->
case set_size(Set) of
1 -> set_is_element(true, Set) orelse set_is_element(false, Set);
2 -> set_is_element(true, Set) andalso set_is_element(false, Set);
N when is_integer(N), N > 2 -> false
end;
-t_is_boolean(_) -> false.
+is_boolean(_) -> false.
%%-----------------------------------------------------------------------------
%% Binaries
@@ -873,9 +1061,17 @@ t_binary() ->
-spec t_is_binary(erl_type()) -> boolean().
-t_is_binary(?bitstr(U, B)) ->
+t_is_binary(Type) ->
+ t_is_binary(Type, 'universe').
+
+-spec t_is_binary(erl_type(), opaques()) -> boolean().
+
+t_is_binary(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_binary/1).
+
+is_binary(?bitstr(U, B)) ->
((U rem 8) =:= 0) andalso ((B rem 8) =:= 0);
-t_is_binary(_) -> false.
+is_binary(_) -> false.
%%-----------------------------------------------------------------------------
%% Bitstrings
@@ -922,19 +1118,27 @@ t_bitstr_concat_1([], Acc) ->
t_bitstr_concat(T1, T2) ->
T1p = t_inf(t_bitstr(), T1),
T2p = t_inf(t_bitstr(), T2),
- bitstr_concat(T1p, T2p).
+ bitstr_concat(t_unopaque(T1p), t_unopaque(T2p)).
-spec t_bitstr_match(erl_type(), erl_type()) -> erl_type().
t_bitstr_match(T1, T2) ->
T1p = t_inf(t_bitstr(), T1),
T2p = t_inf(t_bitstr(), T2),
- bitstr_match(T1p, T2p).
+ bitstr_match(t_unopaque(T1p), t_unopaque(T2p)).
-spec t_is_bitstr(erl_type()) -> boolean().
-t_is_bitstr(?bitstr(_, _)) -> true;
-t_is_bitstr(_) -> false.
+t_is_bitstr(Type) ->
+ t_is_bitstr(Type, 'universe').
+
+-spec t_is_bitstr(erl_type(), opaques()) -> boolean().
+
+t_is_bitstr(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_bitstr/1).
+
+is_bitstr(?bitstr(_, _)) -> true;
+is_bitstr(_) -> false.
%%-----------------------------------------------------------------------------
%% Matchstates
@@ -1045,27 +1249,59 @@ t_fun(Arity, Range) when is_integer(Arity), 0 =< Arity, Arity =< 255 ->
-spec t_fun_args(erl_type()) -> 'unknown' | [erl_type()].
-t_fun_args(?function(?any, _)) ->
+t_fun_args(Type) ->
+ t_fun_args(Type, 'universe').
+
+-spec t_fun_args(erl_type(), opaques()) -> 'unknown' | [erl_type()].
+
+t_fun_args(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun fun_args/1).
+
+fun_args(?function(?any, _)) ->
unknown;
-t_fun_args(?function(?product(Domain), _)) when is_list(Domain) ->
+fun_args(?function(?product(Domain), _)) when is_list(Domain) ->
Domain.
-spec t_fun_arity(erl_type()) -> 'unknown' | non_neg_integer().
-t_fun_arity(?function(?any, _)) ->
+t_fun_arity(Type) ->
+ t_fun_arity(Type, 'universe').
+
+-spec t_fun_arity(erl_type(), opaques()) -> 'unknown' | non_neg_integer().
+
+t_fun_arity(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun fun_arity/1).
+
+fun_arity(?function(?any, _)) ->
unknown;
-t_fun_arity(?function(?product(Domain), _)) ->
+fun_arity(?function(?product(Domain), _)) ->
length(Domain).
-spec t_fun_range(erl_type()) -> erl_type().
-t_fun_range(?function(_, Range)) ->
+t_fun_range(Type) ->
+ t_fun_range(Type, 'universe').
+
+-spec t_fun_range(erl_type(), opaques()) -> erl_type().
+
+t_fun_range(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun fun_range/1).
+
+fun_range(?function(_, Range)) ->
Range.
-spec t_is_fun(erl_type()) -> boolean().
-t_is_fun(?function(_, _)) -> true;
-t_is_fun(_) -> false.
+t_is_fun(Type) ->
+ t_is_fun(Type, 'universe').
+
+-spec t_is_fun(erl_type(), opaques()) -> boolean().
+
+t_is_fun(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_fun/1).
+
+is_fun(?function(_, _)) -> true;
+is_fun(_) -> false.
%%-----------------------------------------------------------------------------
%% Identifiers. Includes ports, pids and refs.
@@ -1092,9 +1328,17 @@ t_port() ->
-spec t_is_port(erl_type()) -> boolean().
-t_is_port(?identifier(?any)) -> false;
-t_is_port(?identifier(Set)) -> set_is_singleton(?port_qual, Set);
-t_is_port(_) -> false.
+t_is_port(Type) ->
+ t_is_port(Type, 'universe').
+
+-spec t_is_port(erl_type(), opaques()) -> boolean().
+
+t_is_port(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_port1/1).
+
+is_port1(?identifier(?any)) -> false;
+is_port1(?identifier(Set)) -> set_is_singleton(?port_qual, Set);
+is_port1(_) -> false.
%%------------------------------------
@@ -1105,9 +1349,17 @@ t_pid() ->
-spec t_is_pid(erl_type()) -> boolean().
-t_is_pid(?identifier(?any)) -> false;
-t_is_pid(?identifier(Set)) -> set_is_singleton(?pid_qual, Set);
-t_is_pid(_) -> false.
+t_is_pid(Type) ->
+ t_is_pid(Type, 'universe').
+
+-spec t_is_pid(erl_type(), opaques()) -> boolean().
+
+t_is_pid(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_pid1/1).
+
+is_pid1(?identifier(?any)) -> false;
+is_pid1(?identifier(Set)) -> set_is_singleton(?pid_qual, Set);
+is_pid1(_) -> false.
%%------------------------------------
@@ -1118,9 +1370,17 @@ t_reference() ->
-spec t_is_reference(erl_type()) -> boolean().
-t_is_reference(?identifier(?any)) -> false;
-t_is_reference(?identifier(Set)) -> set_is_singleton(?reference_qual, Set);
-t_is_reference(_) -> false.
+t_is_reference(Type) ->
+ t_is_reference(Type, 'universe').
+
+-spec t_is_reference(erl_type(), opaques()) -> boolean().
+
+t_is_reference(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_reference1/1).
+
+is_reference1(?identifier(?any)) -> false;
+is_reference1(?identifier(Set)) -> set_is_singleton(?reference_qual, Set);
+is_reference1(_) -> false.
%%-----------------------------------------------------------------------------
%% Numbers are divided into floats, integers, chars and bytes.
@@ -1138,21 +1398,39 @@ t_number(X) when is_integer(X) ->
-spec t_is_number(erl_type()) -> boolean().
-t_is_number(?number(_, _)) -> true;
-t_is_number(_) -> false.
+t_is_number(Type) ->
+ t_is_number(Type, 'universe').
+
+-spec t_is_number(erl_type(), opaques()) -> boolean().
+
+t_is_number(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_number/1).
+
+is_number(?number(_, _)) -> true;
+is_number(_) -> false.
%% Currently, the type system collapses all floats to ?float and does
%% not keep any information about their values. As a result, the list
%% that this function returns contains only integers.
+
-spec t_number_vals(erl_type()) -> 'unknown' | [integer(),...].
-t_number_vals(?int_set(?any)) -> unknown;
-t_number_vals(?int_set(Set)) -> set_to_list(Set);
-t_number_vals(?number(_, _)) -> unknown;
-t_number_vals(Other) ->
+t_number_vals(Type) ->
+ t_number_vals(Type, 'universe').
+
+-spec t_number_vals(erl_type(), opaques()) -> 'unknown' | [integer(),...].
+
+t_number_vals(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun number_vals/1).
+
+number_vals(?int_set(?any)) -> unknown;
+number_vals(?int_set(Set)) -> set_to_list(Set);
+number_vals(?number(_, _)) -> unknown;
+number_vals(?opaque(_)) -> unknown;
+number_vals(Other) ->
Inf = t_inf(Other, t_number()),
false = t_is_none(Inf), % sanity check
- t_number_vals(Inf).
+ number_vals(Inf).
%%------------------------------------
@@ -1163,8 +1441,16 @@ t_float() ->
-spec t_is_float(erl_type()) -> boolean().
-t_is_float(?float) -> true;
-t_is_float(_) -> false.
+t_is_float(Type) ->
+ t_is_float(Type, 'universe').
+
+-spec t_is_float(erl_type(), opaques()) -> boolean().
+
+t_is_float(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_float1/1).
+
+is_float1(?float) -> true;
+is_float1(_) -> false.
%%------------------------------------
@@ -1185,8 +1471,16 @@ t_integers(List) when is_list(List) ->
-spec t_is_integer(erl_type()) -> boolean().
-t_is_integer(?integer(_)) -> true;
-t_is_integer(_) -> false.
+t_is_integer(Type) ->
+ t_is_integer(Type, 'universe').
+
+-spec t_is_integer(erl_type(), opaques()) -> boolean().
+
+t_is_integer(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_integer1/1).
+
+is_integer1(?integer(_)) -> true;
+is_integer1(_) -> false.
%%------------------------------------
@@ -1250,7 +1544,7 @@ t_cons(Hd, ?nil) ->
t_cons(Hd, ?list(Contents, Termination, _)) ->
?nonempty_list(t_sup(Contents, Hd), Termination);
t_cons(Hd, Tail) ->
- case t_inf(Tail, t_maybe_improper_list()) of
+ case cons_tail(t_inf(Tail, t_maybe_improper_list())) of
?list(Contents, Termination, _Size) ->
%% Collapse the list part of the termination but keep the
%% non-list part intact.
@@ -1262,18 +1556,45 @@ t_cons(Hd, Tail) ->
?unit -> ?none
end.
+cons_tail(Type) ->
+ do_opaque(Type, 'universe', fun(T) -> T end).
+
-spec t_is_cons(erl_type()) -> boolean().
-t_is_cons(?nonempty_list(_, _)) -> true;
-t_is_cons(_) -> false.
+t_is_cons(Type) ->
+ t_is_cons(Type, 'universe').
+
+-spec t_is_cons(erl_type(), opaques()) -> boolean().
+
+t_is_cons(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_cons/1).
+
+is_cons(?nonempty_list(_, _)) -> true;
+is_cons(_) -> false.
-spec t_cons_hd(erl_type()) -> erl_type().
-t_cons_hd(?nonempty_list(Contents, _Termination)) -> Contents.
+t_cons_hd(Type) ->
+ t_cons_hd(Type, 'universe').
+
+-spec t_cons_hd(erl_type(), opaques()) -> erl_type().
+
+t_cons_hd(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun cons_hd/1).
+
+cons_hd(?nonempty_list(Contents, _Termination)) -> Contents.
-spec t_cons_tl(erl_type()) -> erl_type().
-t_cons_tl(?nonempty_list(_Contents, Termination) = T) ->
+t_cons_tl(Type) ->
+ t_cons_tl(Type, 'universe').
+
+-spec t_cons_tl(erl_type(), opaques()) -> erl_type().
+
+t_cons_tl(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun cons_tl/1).
+
+cons_tl(?nonempty_list(_Contents, Termination) = T) ->
t_sup(Termination, T).
-spec t_nil() -> erl_type().
@@ -1283,8 +1604,16 @@ t_nil() ->
-spec t_is_nil(erl_type()) -> boolean().
-t_is_nil(?nil) -> true;
-t_is_nil(_) -> false.
+t_is_nil(Type) ->
+ t_is_nil(Type, 'universe').
+
+-spec t_is_nil(erl_type(), opaques()) -> boolean().
+
+t_is_nil(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_nil/1).
+
+is_nil(?nil) -> true;
+is_nil(_) -> false.
-spec t_list() -> erl_type().
@@ -1300,8 +1629,16 @@ t_list(Contents) ->
-spec t_list_elements(erl_type()) -> erl_type().
-t_list_elements(?list(Contents, _, _)) -> Contents;
-t_list_elements(?nil) -> ?none.
+t_list_elements(Type) ->
+ t_list_elements(Type, 'universe').
+
+-spec t_list_elements(erl_type(), opaques()) -> erl_type().
+
+t_list_elements(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun list_elements/1).
+
+list_elements(?list(Contents, _, _)) -> Contents;
+list_elements(?nil) -> ?none.
-spec t_list_termination(erl_type()) -> erl_type().
@@ -1356,9 +1693,17 @@ t_maybe_improper_list(Content, Termination) ->
-spec t_is_maybe_improper_list(erl_type()) -> boolean().
-t_is_maybe_improper_list(?list(_, _, _)) -> true;
-t_is_maybe_improper_list(?nil) -> true;
-t_is_maybe_improper_list(_) -> false.
+t_is_maybe_improper_list(Type) ->
+ t_is_maybe_improper_list(Type, 'universe').
+
+-spec t_is_maybe_improper_list(erl_type(), opaques()) -> boolean().
+
+t_is_maybe_improper_list(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_maybe_improper_list/1).
+
+is_maybe_improper_list(?list(_, _, _)) -> true;
+is_maybe_improper_list(?nil) -> true;
+is_maybe_improper_list(_) -> false.
%% %% Should only be used if you know what you are doing. See t_cons/2
%% -spec t_improper_list(erl_type(), erl_type()) -> erl_type().
@@ -1377,6 +1722,33 @@ lift_list_to_pos_empty(?list(Content, Termination, _)) ->
?list(Content, Termination, ?unknown_qual).
%%-----------------------------------------------------------------------------
+%% Maps
+%%
+
+-spec t_map() -> erl_type().
+
+t_map() ->
+ ?map([]).
+
+-spec t_map([{erl_type(), erl_type()}]) -> erl_type().
+
+t_map(_) ->
+ ?map([]).
+
+-spec t_is_map(erl_type()) -> boolean().
+
+t_is_map(Type) ->
+ t_is_map(Type, 'universe').
+
+-spec t_is_map(erl_type(), opaques()) -> boolean().
+
+t_is_map(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_map1/1).
+
+is_map1(?map(_)) -> true;
+is_map1(_) -> false.
+
+%%-----------------------------------------------------------------------------
%% Tuples
%%
@@ -1405,32 +1777,77 @@ t_tuple(List) ->
-spec get_tuple_tags([erl_type()]) -> [erl_type(),...].
-get_tuple_tags([?atom(?any)|_]) -> [?any];
-get_tuple_tags([?atom(Set)|_]) ->
+get_tuple_tags([Tag|_]) ->
+ do_opaque(Tag, 'universe', fun tuple_tags/1);
+get_tuple_tags(_) -> [?any].
+
+tuple_tags(?atom(?any)) -> [?any];
+tuple_tags(?atom(Set)) ->
case set_size(Set) > ?TUPLE_TAG_LIMIT of
true -> [?any];
false -> [t_atom(A) || A <- set_to_list(Set)]
end;
-get_tuple_tags(_) -> [?any].
+tuple_tags(_) -> [?any].
%% to be used for a tuple with known types for its arguments (not ?any)
-spec t_tuple_args(erl_type()) -> [erl_type()].
-t_tuple_args(?tuple(Args, _, _)) when is_list(Args) -> Args.
+t_tuple_args(Type) ->
+ t_tuple_args(Type, 'universe').
+
+%% to be used for a tuple with known types for its arguments (not ?any)
+-spec t_tuple_args(erl_type(), opaques()) -> [erl_type()].
+
+t_tuple_args(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun tuple_args/1).
+
+tuple_args(?tuple(Args, _, _)) when is_list(Args) -> Args.
%% to be used for a tuple with a known size (not ?any)
-spec t_tuple_size(erl_type()) -> non_neg_integer().
-t_tuple_size(?tuple(_, Size, _)) when is_integer(Size) -> Size.
+t_tuple_size(Type) ->
+ t_tuple_size(Type, 'universe').
+
+%% to be used for a tuple with a known size (not ?any)
+-spec t_tuple_size(erl_type(), opaques()) -> non_neg_integer().
+
+t_tuple_size(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun tuple_size1/1).
+
+tuple_size1(?tuple(_, Size, _)) when is_integer(Size) -> Size.
-spec t_tuple_sizes(erl_type()) -> 'unknown' | [non_neg_integer(),...].
-t_tuple_sizes(?tuple(?any, ?any, ?any)) -> unknown;
-t_tuple_sizes(?tuple(_, Size, _)) when is_integer(Size) -> [Size];
-t_tuple_sizes(?tuple_set(List)) -> [Size || {Size, _} <- List].
+t_tuple_sizes(Type) ->
+ do_opaque(Type, 'universe', fun tuple_sizes/1).
+
+tuple_sizes(?tuple(?any, ?any, ?any)) -> unknown;
+tuple_sizes(?tuple(_, Size, _)) when is_integer(Size) -> [Size];
+tuple_sizes(?tuple_set(List)) -> [Size || {Size, _} <- List].
+
+-spec t_tuple_subtypes(erl_type(), opaques()) ->
+ 'unknown' | [erl_type(),...].
+
+t_tuple_subtypes(Type, Opaques) ->
+ Fun = fun(?tuple_set(List)) ->
+ t_tuple_subtypes_tuple_list(List, Opaques);
+ (?opaque(_)) -> unknown;
+ (T) -> t_tuple_subtypes(T)
+ end,
+ do_opaque(Type, Opaques, Fun).
+
+t_tuple_subtypes_tuple_list(List, Opaques) ->
+ lists:append([t_tuple_subtypes_list(Tuples, Opaques) ||
+ {_Size, Tuples} <- List]).
+
+t_tuple_subtypes_list(List, Opaques) ->
+ ListOfLists = [t_tuple_subtypes(E, Opaques) || E <- List, E =/= ?none],
+ lists:append([L || L <- ListOfLists, L =/= 'unknown']).
-spec t_tuple_subtypes(erl_type()) -> 'unknown' | [erl_type(),...].
+%% XXX. Not the same as t_tuple_subtypes(T, 'universe')...
t_tuple_subtypes(?tuple(?any, ?any, ?any)) -> unknown;
t_tuple_subtypes(?tuple(_, _, _) = T) -> [T];
t_tuple_subtypes(?tuple_set(List)) ->
@@ -1438,9 +1855,17 @@ t_tuple_subtypes(?tuple_set(List)) ->
-spec t_is_tuple(erl_type()) -> boolean().
-t_is_tuple(?tuple(_, _, _)) -> true;
-t_is_tuple(?tuple_set(_)) -> true;
-t_is_tuple(_) -> false.
+t_is_tuple(Type) ->
+ t_is_tuple(Type, 'universe').
+
+-spec t_is_tuple(erl_type(), opaques()) -> boolean().
+
+t_is_tuple(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun is_tuple1/1).
+
+is_tuple1(?tuple(_, _, _)) -> true;
+is_tuple1(?tuple_set(_)) -> true;
+is_tuple1(_) -> false.
%%-----------------------------------------------------------------------------
%% Non-primitive types, including some handy syntactic sugar types
@@ -1451,6 +1876,7 @@ t_is_tuple(_) -> false.
t_bitstrlist() ->
t_iolist(1, t_bitstr()).
+%% XXX. To be removed.
-spec t_constant() -> erl_type().
t_constant() ->
@@ -1553,20 +1979,26 @@ t_timeout() ->
-spec t_array() -> erl_type().
t_array() ->
- t_opaque(array, array, [],
+ t_opaque(array, array, [t_any()],
t_tuple([t_atom('array'),
- t_non_neg_integer(), t_non_neg_integer(),
- t_any(), t_any()])).
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_any(),
+ t_any()])).
-spec t_dict() -> erl_type().
t_dict() ->
- t_opaque(dict, dict, [],
+ t_opaque(dict, dict, [t_any(), t_any()],
t_tuple([t_atom('dict'),
- t_non_neg_integer(), t_non_neg_integer(),
- t_non_neg_integer(), t_non_neg_integer(),
- t_non_neg_integer(), t_non_neg_integer(),
- t_tuple(), t_tuple()])).
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_sup([t_atom('undefined'), t_non_neg_integer()]),
+ t_sup([t_atom('undefined'), t_tuple()]),
+ t_sup([t_atom('undefined'), t_tuple()])])).
-spec t_digraph() -> erl_type().
@@ -1593,15 +2025,17 @@ t_gb_tree() ->
-spec t_queue() -> erl_type().
t_queue() ->
- t_opaque(queue, queue, [], t_tuple([t_list(), t_list()])).
+ t_opaque(queue, queue, [t_any()], t_tuple([t_list(), t_list()])).
-spec t_set() -> erl_type().
t_set() ->
- t_opaque(sets, set, [],
+ t_opaque(sets, set, [t_any()],
t_tuple([t_atom('set'), t_non_neg_integer(), t_non_neg_integer(),
t_pos_integer(), t_non_neg_integer(), t_non_neg_integer(),
- t_non_neg_integer(), t_tuple(), t_tuple()])).
+ t_non_neg_integer(),
+ t_sup([t_atom('undefined'), t_tuple()]),
+ t_sup([t_atom('undefined'), t_tuple()])])).
-spec t_tid() -> erl_type().
@@ -1614,18 +2048,6 @@ all_opaque_builtins() ->
[t_array(), t_dict(), t_digraph(), t_gb_set(),
t_gb_tree(), t_queue(), t_set(), t_tid()].
--spec is_opaque_builtin(atom(), atom()) -> boolean().
-
-is_opaque_builtin(array, array) -> true;
-is_opaque_builtin(dict, dict) -> true;
-is_opaque_builtin(digraph, digraph) -> true;
-is_opaque_builtin(gb_sets, gb_set) -> true;
-is_opaque_builtin(gb_trees, gb_tree) -> true;
-is_opaque_builtin(queue, queue) -> true;
-is_opaque_builtin(sets, set) -> true;
-is_opaque_builtin(ets, tid) -> true;
-is_opaque_builtin(_, _) -> false.
-
%%------------------------------------
%% ?none is allowed in products. A product of size 1 is not a product.
@@ -1673,8 +2095,13 @@ t_has_var(?tuple(Elements, _, _)) ->
t_has_var_list(Elements);
t_has_var(?tuple_set(_) = T) ->
t_has_var_list(t_tuple_subtypes(T));
-%% t_has_var(?union(_) = U) ->
-%% exit(lists:flatten(io_lib:format("Union happens in t_has_var/1 ~p\n",[U])));
+t_has_var(?map(_)= Map) ->
+ t_has_var_list(map_keys(Map)) orelse t_has_var_list(map_values(Map));
+t_has_var(?opaque(Set)) ->
+ %% Assume variables in 'args' are also present i 'struct'
+ t_has_var_list([O#opaque.struct || O <- set_to_list(Set)]);
+t_has_var(?union(List)) ->
+ t_has_var_list(List);
t_has_var(_) -> false.
-spec t_has_var_list([erl_type()]) -> boolean().
@@ -1697,17 +2124,28 @@ t_collect_vars(?function(Domain, Range), Acc) ->
t_collect_vars(?list(Contents, Termination, _), Acc) ->
ordsets:union(t_collect_vars(Contents, Acc), t_collect_vars(Termination, []));
t_collect_vars(?product(Types), Acc) ->
- lists:foldl(fun(T, TmpAcc) -> t_collect_vars(T, TmpAcc) end, Acc, Types);
+ t_collect_vars_list(Types, Acc);
t_collect_vars(?tuple(?any, ?any, ?any), Acc) ->
Acc;
t_collect_vars(?tuple(Types, _, _), Acc) ->
- lists:foldl(fun(T, TmpAcc) -> t_collect_vars(T, TmpAcc) end, Acc, Types);
+ t_collect_vars_list(Types, Acc);
t_collect_vars(?tuple_set(_) = TS, Acc) ->
- lists:foldl(fun(T, TmpAcc) -> t_collect_vars(T, TmpAcc) end, Acc,
- t_tuple_subtypes(TS));
+ t_collect_vars_list(t_tuple_subtypes(TS), Acc);
+t_collect_vars(?map(_) = Map, Acc0) ->
+ Acc = t_collect_vars_list(map_keys(Map), Acc0),
+ t_collect_vars_list(map_values(Map), Acc);
+t_collect_vars(?opaque(Set), Acc) ->
+ %% Assume variables in 'args' are also present i 'struct'
+ t_collect_vars_list([O#opaque.struct || O <- set_to_list(Set)], Acc);
+t_collect_vars(?union(List), Acc) ->
+ t_collect_vars_list(List, Acc);
t_collect_vars(_, Acc) ->
Acc.
+t_collect_vars_list([T|Ts], Acc0) ->
+ Acc = t_collect_vars(T, Acc0),
+ t_collect_vars_list(Ts, Acc);
+t_collect_vars_list([], Acc) -> Acc.
%%=============================================================================
%%
@@ -1730,6 +2168,7 @@ t_from_term(T) when is_function(T) ->
{arity, Arity} = erlang:fun_info(T, arity),
t_fun(Arity, t_any());
t_from_term(T) when is_integer(T) -> t_integer(T);
+t_from_term(T) when is_map(T) -> t_map();
t_from_term(T) when is_pid(T) -> t_pid();
t_from_term(T) when is_port(T) -> t_port();
t_from_term(T) when is_reference(T) -> t_reference();
@@ -1827,15 +2266,31 @@ t_is_bitwidth(_) -> false.
-spec number_min(erl_type()) -> rng_elem().
-number_min(?int_range(From, _)) -> From;
-number_min(?int_set(Set)) -> set_min(Set);
-number_min(?number(?any, _Tag)) -> neg_inf.
+number_min(Type) ->
+ number_min(Type, 'universe').
+
+-spec number_min(erl_type(), opaques()) -> rng_elem().
+
+number_min(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun number_min2/1).
+
+number_min2(?int_range(From, _)) -> From;
+number_min2(?int_set(Set)) -> set_min(Set);
+number_min2(?number(?any, _Tag)) -> neg_inf.
-spec number_max(erl_type()) -> rng_elem().
-number_max(?int_range(_, To)) -> To;
-number_max(?int_set(Set)) -> set_max(Set);
-number_max(?number(?any, _Tag)) -> pos_inf.
+number_max(Type) ->
+ number_max(Type, 'universe').
+
+-spec number_max(erl_type(), opaques()) -> rng_elem().
+
+number_max(Type, Opaques) ->
+ do_opaque(Type, Opaques, fun number_max2/1).
+
+number_max2(?int_range(_, To)) -> To;
+number_max2(?int_set(Set)) -> set_max(Set);
+number_max2(?number(?any, _Tag)) -> pos_inf.
%% -spec int_range(rgn_elem(), rng_elem()) -> erl_type().
%%
@@ -1917,7 +2372,7 @@ t_sup(?function(Domain1, Range1), ?function(Domain2, Range2)) ->
t_sup(?identifier(Set1), ?identifier(Set2)) ->
?identifier(set_union(Set1, Set2));
t_sup(?opaque(Set1), ?opaque(Set2)) ->
- ?opaque(set_union_no_limit(Set1, Set2));
+ sup_opaque(set_to_list(ordsets:union(Set1, Set2)));
%%Disallow unions with opaque types
%%t_sup(T1=?opaque(_,_,_), T2) ->
%% io:format("Debug: t_sup executed with args ~w and ~w~n",[T1, T2]), ?none;
@@ -2005,6 +2460,27 @@ t_sup(T1, T2) ->
?union(U2) = force_union(T2),
sup_union(U1, U2).
+sup_opaque([]) -> ?none;
+sup_opaque(List) ->
+ L = sup_opaq(List),
+ ?opaque(ordsets:from_list(L)).
+
+sup_opaq(L0) ->
+ L1 = [{{Mod,Name,Args}, T} ||
+ #opaque{mod = Mod, name = Name, args = Args}=T <- L0],
+ F = family(L1),
+ [supl(Ts) || {_, Ts} <- F].
+
+supl([O]) -> O;
+supl(Ts) -> supl(Ts, t_none()).
+
+supl([#opaque{struct = S}=O|L], S0) ->
+ S1 = t_sup(S, S0),
+ case L =:= [] of
+ true -> O#opaque{struct = S1};
+ false -> supl(L, S1)
+ end.
+
-spec t_sup_lists([erl_type()], [erl_type()]) -> [erl_type()].
t_sup_lists([T1|Left1], [T2|Left2]) ->
@@ -2095,9 +2571,10 @@ force_union(T = ?function(_, _)) -> ?function_union(T);
force_union(T = ?identifier(_)) -> ?identifier_union(T);
force_union(T = ?list(_, _, _)) -> ?list_union(T);
force_union(T = ?nil) -> ?list_union(T);
-force_union(T = ?number(_,_)) -> ?number_union(T);
+force_union(T = ?number(_, _)) -> ?number_union(T);
force_union(T = ?opaque(_)) -> ?opaque_union(T);
force_union(T = ?remote(_)) -> ?remote_union(T);
+force_union(T = ?map(_)) -> ?map_union(T);
force_union(T = ?tuple(_, _, _)) -> ?tuple_union(T);
force_union(T = ?tuple_set(_)) -> ?tuple_union(T);
force_union(T = ?matchstate(_, _)) -> ?matchstate_union(T);
@@ -2132,19 +2609,27 @@ t_elements(?number(_, _) = T) ->
?int_set(Set) ->
[t_integer(I) || I <- Set]
end;
-t_elements(?opaque(_) = T) -> [T];
+t_elements(?opaque(_) = T) ->
+ do_elements(T);
+t_elements(?map(_) = T) -> [T];
t_elements(?tuple(_, _, _) = T) -> [T];
t_elements(?tuple_set(_) = TS) ->
case t_tuple_subtypes(TS) of
unknown -> [];
Elems -> Elems
end;
-t_elements(?union(List)) ->
- lists:append([t_elements(T) || T <- List]);
+t_elements(?union(_) = T) ->
+ do_elements(T);
t_elements(?var(_)) -> [?any]. %% yes, vars exist -- what else to do here?
%% t_elements(T) ->
%% io:format("T_ELEMENTS => ~p\n", [T]).
+do_elements(Type0) ->
+ case do_opaque(Type0, 'universe', fun(T) -> T end) of
+ ?union(List) -> lists:append([t_elements(T) || T <- List]);
+ Type -> t_elements(Type)
+ end.
+
%%-----------------------------------------------------------------------------
%% Infimum
%%
@@ -2162,74 +2647,77 @@ t_inf([]) -> ?none.
-spec t_inf(erl_type(), erl_type()) -> erl_type().
t_inf(T1, T2) ->
- t_inf(T1, T2, structured).
-
--type t_inf_mode() :: 'opaque' | 'structured'.
--spec t_inf(erl_type(), erl_type(), t_inf_mode()) -> erl_type().
-
-t_inf(?var(_), ?var(_), _Mode) -> ?any;
-t_inf(?var(_), T, _Mode) -> subst_all_vars_to_any(T);
-t_inf(T, ?var(_), _Mode) -> subst_all_vars_to_any(T);
-t_inf(?any, T, _Mode) -> subst_all_vars_to_any(T);
-t_inf(T, ?any, _Mode) -> subst_all_vars_to_any(T);
-t_inf(?none, _, _Mode) -> ?none;
-t_inf(_, ?none, _Mode) -> ?none;
-t_inf(?unit, _, _Mode) -> ?unit; % ?unit cases should appear below ?none
-t_inf(_, ?unit, _Mode) -> ?unit;
-t_inf(T, T, _Mode) -> subst_all_vars_to_any(T);
+ t_inf(T1, T2, 'universe').
+
+%% 'match' should be used from t_find_unknown_opaque() only
+-type t_inf_opaques() :: 'universe'
+ | [erl_type()] | {'match', [erl_type() | 'universe']}.
+
+-spec t_inf(erl_type(), erl_type(), t_inf_opaques()) -> erl_type().
+
+t_inf(?var(_), ?var(_), _Opaques) -> ?any;
+t_inf(?var(_), T, _Opaques) -> subst_all_vars_to_any(T);
+t_inf(T, ?var(_), _Opaques) -> subst_all_vars_to_any(T);
+t_inf(?any, T, _Opaques) -> subst_all_vars_to_any(T);
+t_inf(T, ?any, _Opaques) -> subst_all_vars_to_any(T);
+t_inf(?none, _, _Opaques) -> ?none;
+t_inf(_, ?none, _Opaques) -> ?none;
+t_inf(?unit, _, _Opaques) -> ?unit; % ?unit cases should appear below ?none
+t_inf(_, ?unit, _Opaques) -> ?unit;
+t_inf(T, T, _Opaques) -> subst_all_vars_to_any(T);
t_inf(?atom(Set1), ?atom(Set2), _) ->
case set_intersection(Set1, Set2) of
?none -> ?none;
NewSet -> ?atom(NewSet)
end;
-t_inf(?bitstr(U1, B1), ?bitstr(0, B2), _Mode) ->
+t_inf(?bitstr(U1, B1), ?bitstr(0, B2), _Opaques) ->
if B2 >= B1 andalso (B2-B1) rem U1 =:= 0 -> t_bitstr(0, B2);
true -> ?none
end;
-t_inf(?bitstr(0, B1), ?bitstr(U2, B2), _Mode) ->
+t_inf(?bitstr(0, B1), ?bitstr(U2, B2), _Opaques) ->
if B1 >= B2 andalso (B1-B2) rem U2 =:= 0 -> t_bitstr(0, B1);
true -> ?none
end;
-t_inf(?bitstr(U1, B1), ?bitstr(U1, B1), _Mode) ->
+t_inf(?bitstr(U1, B1), ?bitstr(U1, B1), _Opaques) ->
t_bitstr(U1, B1);
-t_inf(?bitstr(U1, B1), ?bitstr(U2, B2), _Mode) when U2 > U1 ->
+t_inf(?bitstr(U1, B1), ?bitstr(U2, B2), _Opaques) when U2 > U1 ->
inf_bitstr(U2, B2, U1, B1);
-t_inf(?bitstr(U1, B1), ?bitstr(U2, B2), _Mode) ->
+t_inf(?bitstr(U1, B1), ?bitstr(U2, B2), _Opaques) ->
inf_bitstr(U1, B1, U2, B2);
-t_inf(?function(Domain1, Range1), ?function(Domain2, Range2), Mode) ->
- case t_inf(Domain1, Domain2, Mode) of
+t_inf(?function(Domain1, Range1), ?function(Domain2, Range2), Opaques) ->
+ case t_inf(Domain1, Domain2, Opaques) of
?none -> ?none;
- Domain -> ?function(Domain, t_inf(Range1, Range2, Mode))
+ Domain -> ?function(Domain, t_inf(Range1, Range2, Opaques))
end;
-t_inf(?identifier(Set1), ?identifier(Set2), _Mode) ->
+t_inf(?identifier(Set1), ?identifier(Set2), _Opaques) ->
case set_intersection(Set1, Set2) of
?none -> ?none;
Set -> ?identifier(Set)
end;
-t_inf(?matchstate(Pres1, Slots1), ?matchstate(Pres2, Slots2), _Mode) ->
+t_inf(?matchstate(Pres1, Slots1), ?matchstate(Pres2, Slots2), _Opaques) ->
?matchstate(t_inf(Pres1, Pres2), t_inf(Slots1, Slots2));
-t_inf(?nil, ?nil, _Mode) -> ?nil;
-t_inf(?nil, ?nonempty_list(_, _), _Mode) ->
+t_inf(?nil, ?nil, _Opaques) -> ?nil;
+t_inf(?nil, ?nonempty_list(_, _), _Opaques) ->
?none;
-t_inf(?nonempty_list(_, _), ?nil, _Mode) ->
+t_inf(?nonempty_list(_, _), ?nil, _Opaques) ->
?none;
-t_inf(?nil, ?list(_Contents, Termination, _), Mode) ->
- t_inf(?nil, Termination, Mode);
-t_inf(?list(_Contents, Termination, _), ?nil, Mode) ->
- t_inf(?nil, Termination, Mode);
+t_inf(?nil, ?list(_Contents, Termination, _), Opaques) ->
+ t_inf(?nil, t_unopaque(Termination), Opaques);
+t_inf(?list(_Contents, Termination, _), ?nil, Opaques) ->
+ t_inf(?nil, t_unopaque(Termination), Opaques);
t_inf(?list(Contents1, Termination1, Size1),
- ?list(Contents2, Termination2, Size2), Mode) ->
- case t_inf(Termination1, Termination2, Mode) of
+ ?list(Contents2, Termination2, Size2), Opaques) ->
+ case t_inf(Termination1, Termination2, Opaques) of
?none -> ?none;
Termination ->
- case t_inf(Contents1, Contents2, Mode) of
- ?none ->
+ case t_inf(Contents1, Contents2, Opaques) of
+ ?none ->
%% If none of the lists are nonempty, then the infimum is nil.
case (Size1 =:= ?unknown_qual) andalso (Size2 =:= ?unknown_qual) of
true -> t_nil();
false -> ?none
end;
- Contents ->
+ Contents ->
Size =
case {Size1, Size2} of
{?unknown_qual, ?unknown_qual} -> ?unknown_qual;
@@ -2240,7 +2728,7 @@ t_inf(?list(Contents1, Termination1, Size1),
?list(Contents, Termination, Size)
end
end;
-t_inf(?number(_, _) = T1, ?number(_, _) = T2, _Mode) ->
+t_inf(?number(_, _) = T1, ?number(_, _) = T2, _Opaques) ->
case {T1, T2} of
{T, T} -> T;
{_, ?number(?any, ?unknown_qual)} -> T1;
@@ -2249,16 +2737,16 @@ t_inf(?number(_, _) = T1, ?number(_, _) = T2, _Mode) ->
{?integer(_), ?float} -> ?none;
{?integer(?any), ?integer(_)} -> T2;
{?integer(_), ?integer(?any)} -> T1;
- {?int_set(Set1), ?int_set(Set2)} ->
+ {?int_set(Set1), ?int_set(Set2)} ->
case set_intersection(Set1, Set2) of
?none -> ?none;
Set -> ?int_set(Set)
end;
- {?int_range(From1, To1), ?int_range(From2, To2)} ->
+ {?int_range(From1, To1), ?int_range(From2, To2)} ->
t_from_range(max(From1, From2), min(To1, To2));
{Range = ?int_range(_, _), ?int_set(Set)} ->
%% io:format("t_inf range, set args ~p ~p ~n", [T1, T2]),
- Ans2 =
+ Ans2 =
case set_filter(fun(X) -> in_range(X, Range) end, Set) of
?none -> ?none;
NewSet -> ?int_set(NewSet)
@@ -2271,198 +2759,271 @@ t_inf(?number(_, _) = T1, ?number(_, _) = T2, _Mode) ->
NewSet -> ?int_set(NewSet)
end
end;
-t_inf(?product(Types1), ?product(Types2), Mode) ->
+t_inf(?product(Types1), ?product(Types2), Opaques) ->
L1 = length(Types1),
L2 = length(Types2),
- if L1 =:= L2 -> ?product(t_inf_lists(Types1, Types2, Mode));
+ if L1 =:= L2 -> ?product(t_inf_lists(Types1, Types2, Opaques));
true -> ?none
end;
-t_inf(?product(_), _, _Mode) ->
+t_inf(?product(_), _, _Opaques) ->
?none;
-t_inf(_, ?product(_), _Mode) ->
+t_inf(_, ?product(_), _Opaques) ->
?none;
-t_inf(?tuple(?any, ?any, ?any), ?tuple(_, _, _) = T, _Mode) ->
+t_inf(?tuple(?any, ?any, ?any), ?tuple(_, _, _) = T, _Opaques) ->
subst_all_vars_to_any(T);
-t_inf(?tuple(_, _, _) = T, ?tuple(?any, ?any, ?any), _Mode) ->
+t_inf(?tuple(_, _, _) = T, ?tuple(?any, ?any, ?any), _Opaques) ->
subst_all_vars_to_any(T);
-t_inf(?tuple(?any, ?any, ?any), ?tuple_set(_) = T, _Mode) ->
+t_inf(?tuple(?any, ?any, ?any), ?tuple_set(_) = T, _Opaques) ->
subst_all_vars_to_any(T);
-t_inf(?tuple_set(_) = T, ?tuple(?any, ?any, ?any), _Mode) ->
+t_inf(?tuple_set(_) = T, ?tuple(?any, ?any, ?any), _Opaques) ->
subst_all_vars_to_any(T);
-t_inf(?tuple(Elements1, Arity, _Tag1), ?tuple(Elements2, Arity, _Tag2), Mode) ->
- case t_inf_lists_strict(Elements1, Elements2, Mode) of
+t_inf(?tuple(Elements1, Arity, _Tag1), ?tuple(Elements2, Arity, _Tag2), Opaques) ->
+ case t_inf_lists_strict(Elements1, Elements2, Opaques) of
bottom -> ?none;
NewElements -> t_tuple(NewElements)
end;
-t_inf(?tuple_set(List1), ?tuple_set(List2), Mode) ->
- inf_tuple_sets(List1, List2, Mode);
-t_inf(?tuple_set(List), ?tuple(_, Arity, _) = T, Mode) ->
- inf_tuple_sets(List, [{Arity, [T]}], Mode);
-t_inf(?tuple(_, Arity, _) = T, ?tuple_set(List), Mode) ->
- inf_tuple_sets(List, [{Arity, [T]}], Mode);
+t_inf(?tuple_set(List1), ?tuple_set(List2), Opaques) ->
+ inf_tuple_sets(List1, List2, Opaques);
+t_inf(?tuple_set(List), ?tuple(_, Arity, _) = T, Opaques) ->
+ inf_tuple_sets(List, [{Arity, [T]}], Opaques);
+t_inf(?tuple(_, Arity, _) = T, ?tuple_set(List), Opaques) ->
+ inf_tuple_sets(List, [{Arity, [T]}], Opaques);
%% be careful: here and in the next clause T can be ?opaque
-t_inf(?union(U1), T, Mode) ->
+t_inf(?union(U1), T, Opaques) ->
?union(U2) = force_union(T),
- inf_union(U1, U2, Mode);
-t_inf(T, ?union(U2), Mode) ->
+ inf_union(U1, U2, Opaques);
+t_inf(T, ?union(U2), Opaques) ->
?union(U1) = force_union(T),
- inf_union(U1, U2, Mode);
+ inf_union(U1, U2, Opaques);
+t_inf(?opaque(Set1), ?opaque(Set2), Opaques) ->
+ inf_opaque(Set1, Set2, Opaques);
+t_inf(?opaque(_) = T1, T2, Opaques) ->
+ inf_opaque1(T2, T1, 1, Opaques);
+t_inf(T1, ?opaque(_) = T2, Opaques) ->
+ inf_opaque1(T1, T2, 2, Opaques);
%% and as a result, the cases for ?opaque should appear *after* ?union
-t_inf(?opaque(Set1) = T1, ?opaque(Set2) = T2, Mode) ->
- case set_intersection(Set1, Set2) of
- ?none ->
- case Mode =:= opaque of
- true ->
- Struct1 = t_opaque_structure(T1),
- case t_inf(Struct1, T2) of
- ?none ->
- Struct2 = t_opaque_structure(T2),
- case t_inf(Struct2, T1) of
- ?none -> ?none;
- _ -> T2
- end;
- _ -> T1
- end;
- false -> ?none
- end;
- NewSet -> ?opaque(NewSet)
- end;
-t_inf(?opaque(_) = T1, T2, opaque) ->
- case t_inf(t_opaque_structure(T1), T2, structured) of
- ?none -> ?none;
- _Type -> T1
- end;
-t_inf(T1, ?opaque(_) = T2, opaque) ->
- case t_inf(T1, t_opaque_structure(T2), structured) of
- ?none -> ?none;
- _Type -> T2
- end;
t_inf(#c{}, #c{}, _) ->
?none.
+inf_opaque1(T1, ?opaque(Set2)=T2, Pos, Opaques) ->
+ case Opaques =:= 'universe' orelse inf_is_opaque_type(T2, Pos, Opaques) of
+ false -> ?none;
+ true ->
+ List2 = set_to_list(Set2),
+ case inf_collect(T1, List2, Opaques, []) of
+ [] -> ?none;
+ OpL -> ?opaque(ordsets:from_list(OpL))
+ end
+ end.
+
+inf_is_opaque_type(T, Pos, {match, Opaques}) ->
+ is_opaque_type(T, Opaques) orelse throw(Pos);
+inf_is_opaque_type(T, _Pos, Opaques) ->
+ is_opaque_type(T, Opaques).
+
+inf_collect(T1, [T2|List2], Opaques, OpL) ->
+ #opaque{struct = S2} = T2,
+ case t_inf(T1, S2, Opaques) of
+ ?none -> inf_collect(T1, List2, Opaques, OpL);
+ Inf ->
+ Op = T2#opaque{struct = Inf},
+ inf_collect(T1, List2, Opaques, [Op|OpL])
+ end;
+inf_collect(_T1, [], _Opaques, OpL) ->
+ OpL.
+
+combine(S, T1, T2) ->
+ #opaque{mod = Mod1, name = Name1, args = Args1} = T1,
+ #opaque{mod = Mod2, name = Name2, args = Args2} = T2,
+ case is_same_type_name({Mod1, Name1, Args1}, {Mod2, Name2, Args2}) of
+ true -> [comb(Mod1, Name1, Args1, S, T1)];
+ false -> [comb(Mod1, Name1, Args1, S, T1), comb(Mod2, Name2, Args2, S, T2)]
+ end.
+
+comb(Mod, Name, Args, S, T) ->
+ case is_same_name(Mod, Name, Args, S) of
+ true -> S;
+ false -> T#opaque{struct = S}
+ end.
+
+is_same_name(Mod1, Name1, Args1,
+ ?opaque([#opaque{mod = Mod2, name = Name2, args = Args2}])) ->
+ is_same_type_name({Mod1, Name1, Args1}, {Mod2, Name2, Args2});
+is_same_name(_, _, _, _) -> false.
+
+%% Combining two lists this way can be very time consuming...
+%% Note: two parameterized opaque types are not the same if their
+%% actual parameters differ
+inf_opaque(Set1, Set2, Opaques) ->
+ List1 = inf_look_up(Set1, 1, Opaques),
+ List2 = inf_look_up(Set2, 2, Opaques),
+ List0 = [combine(Inf, T1, T2) ||
+ {Is1, ModNameArgs1, T1} <- List1,
+ {Is2, ModNameArgs2, T2} <- List2,
+ not t_is_none(Inf = inf_opaque_types(Is1, ModNameArgs1, T1,
+ Is2, ModNameArgs2, T2,
+ Opaques))],
+ List = lists:sort(lists:append(List0)),
+ sup_opaque(List).
+
+%% Optimization: do just one lookup.
+inf_look_up(Set, Pos, Opaques) ->
+ [{Opaques =:= 'universe' orelse inf_is_opaque_type2(T, Pos, Opaques),
+ {M, N, Args}, T} ||
+ #opaque{mod = M, name = N, args = Args} = T <- set_to_list(Set)].
+
+inf_is_opaque_type2(T, Pos, {match, Opaques}) ->
+ is_opaque_type2(T, Opaques) orelse throw(Pos);
+inf_is_opaque_type2(T, _Pos, Opaques) ->
+ is_opaque_type2(T, Opaques).
+
+inf_opaque_types(IsOpaque1, ModNameArgs1, T1,
+ IsOpaque2, ModNameArgs2, T2, Opaques) ->
+ #opaque{struct = S1}=T1,
+ #opaque{struct = S2}=T2,
+ case
+ Opaques =:= 'universe' orelse
+ is_same_type_name(ModNameArgs1, ModNameArgs2)
+ of
+ true -> t_inf(S1, S2, Opaques);
+ false ->
+ case {IsOpaque1, IsOpaque2} of
+ {true, true} -> t_inf(S1, S2, Opaques);
+ {true, false} -> t_inf(S1, ?opaque(set_singleton(T2)), Opaques);
+ {false, true} -> t_inf(?opaque(set_singleton(T1)), S2, Opaques);
+ {false, false} -> t_none()
+ end
+ end.
+
-spec t_inf_lists([erl_type()], [erl_type()]) -> [erl_type()].
t_inf_lists(L1, L2) ->
- t_inf_lists(L1, L2, structured).
+ t_inf_lists(L1, L2, 'universe').
--spec t_inf_lists([erl_type()], [erl_type()], t_inf_mode()) -> [erl_type()].
+-spec t_inf_lists([erl_type()], [erl_type()], t_inf_opaques()) -> [erl_type()].
-t_inf_lists(L1, L2, Mode) ->
- t_inf_lists(L1, L2, [], Mode).
+t_inf_lists(L1, L2, Opaques) ->
+ t_inf_lists(L1, L2, [], Opaques).
--spec t_inf_lists([erl_type()], [erl_type()], [erl_type()], t_inf_mode()) -> [erl_type()].
+-spec t_inf_lists([erl_type()], [erl_type()], [erl_type()], [erl_type()]) -> [erl_type()].
-t_inf_lists([T1|Left1], [T2|Left2], Acc, Mode) ->
- t_inf_lists(Left1, Left2, [t_inf(T1, T2, Mode)|Acc], Mode);
-t_inf_lists([], [], Acc, _Mode) ->
+t_inf_lists([T1|Left1], [T2|Left2], Acc, Opaques) ->
+ t_inf_lists(Left1, Left2, [t_inf(T1, T2, Opaques)|Acc], Opaques);
+t_inf_lists([], [], Acc, _Opaques) ->
lists:reverse(Acc).
%% Infimum of lists with strictness.
%% If any element is the ?none type, the value 'bottom' is returned.
--spec t_inf_lists_strict([erl_type()], [erl_type()], t_inf_mode()) -> 'bottom' | [erl_type()].
+-spec t_inf_lists_strict([erl_type()], [erl_type()], [erl_type()]) -> 'bottom' | [erl_type()].
-t_inf_lists_strict(L1, L2, Mode) ->
- t_inf_lists_strict(L1, L2, [], Mode).
+t_inf_lists_strict(L1, L2, Opaques) ->
+ t_inf_lists_strict(L1, L2, [], Opaques).
--spec t_inf_lists_strict([erl_type()], [erl_type()], [erl_type()], t_inf_mode()) -> 'bottom' | [erl_type()].
+-spec t_inf_lists_strict([erl_type()], [erl_type()], [erl_type()], [erl_type()]) -> 'bottom' | [erl_type()].
-t_inf_lists_strict([T1|Left1], [T2|Left2], Acc, Mode) ->
- case t_inf(T1, T2, Mode) of
+t_inf_lists_strict([T1|Left1], [T2|Left2], Acc, Opaques) ->
+ case t_inf(T1, T2, Opaques) of
?none -> bottom;
- T -> t_inf_lists_strict(Left1, Left2, [T|Acc], Mode)
+ T -> t_inf_lists_strict(Left1, Left2, [T|Acc], Opaques)
end;
-t_inf_lists_strict([], [], Acc, _Mode) ->
+t_inf_lists_strict([], [], Acc, _Opaques) ->
lists:reverse(Acc).
--spec t_inf_lists_masked([erl_type()], [erl_type()], [t_inf_mode()]) -> [erl_type()].
-
-t_inf_lists_masked(List1, List2, Mask) ->
- List = lists:zip3(List1, List2, Mask),
- [t_inf(T1, T2, Mode) || {T1, T2, Mode} <- List].
-
-inf_tuple_sets(L1, L2, Mode) ->
- case inf_tuple_sets(L1, L2, [], Mode) of
+inf_tuple_sets(L1, L2, Opaques) ->
+ case inf_tuple_sets(L1, L2, [], Opaques) of
[] -> ?none;
[{_Arity, [?tuple(_, _, _) = OneTuple]}] -> OneTuple;
List -> ?tuple_set(List)
end.
-inf_tuple_sets([{Arity, Tuples1}|Ts1], [{Arity, Tuples2}|Ts2], Acc, Mode) ->
- case inf_tuples_in_sets(Tuples1, Tuples2, Mode) of
- [] -> inf_tuple_sets(Ts1, Ts2, Acc, Mode);
+inf_tuple_sets([{Arity, Tuples1}|Ts1], [{Arity, Tuples2}|Ts2], Acc, Opaques) ->
+ case inf_tuples_in_sets(Tuples1, Tuples2, Opaques) of
+ [] -> inf_tuple_sets(Ts1, Ts2, Acc, Opaques);
[?tuple_set([{Arity, NewTuples}])] ->
- inf_tuple_sets(Ts1, Ts2, [{Arity, NewTuples}|Acc], Mode);
- NewTuples -> inf_tuple_sets(Ts1, Ts2, [{Arity, NewTuples}|Acc], Mode)
+ inf_tuple_sets(Ts1, Ts2, [{Arity, NewTuples}|Acc], Opaques);
+ NewTuples -> inf_tuple_sets(Ts1, Ts2, [{Arity, NewTuples}|Acc], Opaques)
end;
-inf_tuple_sets([{Arity1, _}|Ts1] = L1, [{Arity2, _}|Ts2] = L2, Acc, Mode) ->
- if Arity1 < Arity2 -> inf_tuple_sets(Ts1, L2, Acc, Mode);
- Arity1 > Arity2 -> inf_tuple_sets(L1, Ts2, Acc, Mode)
+inf_tuple_sets([{Arity1, _}|Ts1] = L1, [{Arity2, _}|Ts2] = L2, Acc, Opaques) ->
+ if Arity1 < Arity2 -> inf_tuple_sets(Ts1, L2, Acc, Opaques);
+ Arity1 > Arity2 -> inf_tuple_sets(L1, Ts2, Acc, Opaques)
end;
-inf_tuple_sets([], _, Acc, _Mode) -> lists:reverse(Acc);
-inf_tuple_sets(_, [], Acc, _Mode) -> lists:reverse(Acc).
-
-inf_tuples_in_sets([?tuple(Elements1, _, ?any)], L2, Mode) ->
- NewList = [t_inf_lists_strict(Elements1, Elements2, Mode)
+inf_tuple_sets([], _, Acc, _Opaques) -> lists:reverse(Acc);
+inf_tuple_sets(_, [], Acc, _Opaques) -> lists:reverse(Acc).
+
+inf_tuples_in_sets([?tuple(Elements1, _, ?any)], L2, Opaques) ->
+ NewList = [t_inf_lists_strict(Elements1, Elements2, Opaques)
|| ?tuple(Elements2, _, _) <- L2],
[t_tuple(Es) || Es <- NewList, Es =/= bottom];
-inf_tuples_in_sets(L1, [?tuple(Elements2, _, ?any)], Mode) ->
- NewList = [t_inf_lists_strict(Elements1, Elements2, Mode)
+inf_tuples_in_sets(L1, [?tuple(Elements2, _, ?any)], Opaques) ->
+ NewList = [t_inf_lists_strict(Elements1, Elements2, Opaques)
|| ?tuple(Elements1, _, _) <- L1],
[t_tuple(Es) || Es <- NewList, Es =/= bottom];
-inf_tuples_in_sets(L1, L2, Mode) ->
- inf_tuples_in_sets(L1, L2, [], Mode).
+inf_tuples_in_sets(L1, L2, Opaques) ->
+ inf_tuples_in_sets2(L1, L2, [], Opaques).
-inf_tuples_in_sets([?tuple(Elements1, Arity, Tag)|Ts1],
- [?tuple(Elements2, Arity, Tag)|Ts2], Acc, Mode) ->
- case t_inf_lists_strict(Elements1, Elements2, Mode) of
- bottom -> inf_tuples_in_sets(Ts1, Ts2, Acc, Mode);
+inf_tuples_in_sets2([?tuple(Elements1, Arity, Tag)|Ts1],
+ [?tuple(Elements2, Arity, Tag)|Ts2], Acc, Opaques) ->
+ case t_inf_lists_strict(Elements1, Elements2, Opaques) of
+ bottom -> inf_tuples_in_sets2(Ts1, Ts2, Acc, Opaques);
NewElements ->
- inf_tuples_in_sets(Ts1, Ts2, [?tuple(NewElements, Arity, Tag)|Acc], Mode)
+ inf_tuples_in_sets2(Ts1, Ts2, [?tuple(NewElements, Arity, Tag)|Acc],
+ Opaques)
end;
-inf_tuples_in_sets([?tuple(_, _, Tag1)|Ts1] = L1,
- [?tuple(_, _, Tag2)|Ts2] = L2, Acc, Mode) ->
- if Tag1 < Tag2 -> inf_tuples_in_sets(Ts1, L2, Acc, Mode);
- Tag1 > Tag2 -> inf_tuples_in_sets(L1, Ts2, Acc, Mode)
+inf_tuples_in_sets2([?tuple(_, _, Tag1)|Ts1] = L1,
+ [?tuple(_, _, Tag2)|Ts2] = L2, Acc, Opaques) ->
+ if Tag1 < Tag2 -> inf_tuples_in_sets2(Ts1, L2, Acc, Opaques);
+ Tag1 > Tag2 -> inf_tuples_in_sets2(L1, Ts2, Acc, Opaques)
end;
-inf_tuples_in_sets([], _, Acc, _Mode) -> lists:reverse(Acc);
-inf_tuples_in_sets(_, [], Acc, _Mode) -> lists:reverse(Acc).
-
-inf_union(U1, U2, opaque) ->
-%%---------------------------------------------------------------------
-%% Under Testing
-%%----------------------------------------------------------------------
-%% OpaqueFun =
-%% fun(Union1, Union2) ->
-%% [_,_,_,_,_,_,_,_,Opaque,_] = Union1,
-%% [A,B,F,I,L,N,T,M,_,_R] = Union2,
-%% List = [A,B,F,I,L,N,T,M],
-%% case [T || T <- List, t_inf(T, Opaque, opaque) =/= ?none] of
-%% [] -> ?none;
-%% _ -> Opaque
-%% end
-%% end,
-%% O1 = OpaqueFun(U1, U2),
-%% O2 = OpaqueFun(U2, U1),
-%% Union = inf_union(U1, U2, 0, [], opaque),
-%% t_sup([O1, O2, Union]);
- inf_union(U1, U2, 0, [], opaque);
-inf_union(U1, U2, OtherMode) ->
- inf_union(U1, U2, 0, [], OtherMode).
-
-inf_union([?none|Left1], [?none|Left2], N, Acc, Mode) ->
- inf_union(Left1, Left2, N, [?none|Acc], Mode);
-inf_union([T1|Left1], [T2|Left2], N, Acc, Mode) ->
- case t_inf(T1, T2, Mode) of
- ?none -> inf_union(Left1, Left2, N, [?none|Acc], Mode);
- T -> inf_union(Left1, Left2, N+1, [T|Acc], Mode)
+inf_tuples_in_sets2([], _, Acc, _Opaques) -> lists:reverse(Acc);
+inf_tuples_in_sets2(_, [], Acc, _Opaques) -> lists:reverse(Acc).
+
+inf_union(U1, U2, Opaques) ->
+ OpaqueFun =
+ fun(Union1, Union2, InfFun) ->
+ [_,_,_,_,_,_,_,_,Opaque,_,_] = Union1,
+ [A,B,F,I,L,N,T,M,_,_R,Map] = Union2,
+ List = [A,B,F,I,L,N,T,M,Map],
+ inf_union_collect(List, Opaque, InfFun, [], [])
+ end,
+ {O1, ThrowList1} =
+ OpaqueFun(U1, U2, fun(E, Opaque) -> t_inf(Opaque, E, Opaques) end),
+ {O2, ThrowList2}
+ = OpaqueFun(U2, U1, fun(E, Opaque) -> t_inf(E, Opaque, Opaques) end),
+ {Union, ThrowList3} = inf_union(U1, U2, 0, [], [], Opaques),
+ ThrowList = lists:merge3(ThrowList1, ThrowList2, ThrowList3),
+ case t_sup([O1, O2, Union]) of
+ ?none when ThrowList =/= [] -> throw(hd(ThrowList));
+ Sup -> Sup
+ end.
+
+inf_union_collect([], _Opaque, _InfFun, InfList, ThrowList) ->
+ {t_sup(InfList), lists:usort(ThrowList)};
+inf_union_collect([?none|L], Opaque, InfFun, InfList, ThrowList) ->
+ inf_union_collect(L, Opaque, InfFun, [?none|InfList], ThrowList);
+inf_union_collect([E|L], Opaque, InfFun, InfList, ThrowList) ->
+ try InfFun(E, Opaque)of
+ Inf ->
+ inf_union_collect(L, Opaque, InfFun, [Inf|InfList], ThrowList)
+ catch throw:N when is_integer(N) ->
+ inf_union_collect(L, Opaque, InfFun, InfList, [N|ThrowList])
+ end.
+
+inf_union([?none|Left1], [?none|Left2], N, Acc, ThrowList, Opaques) ->
+ inf_union(Left1, Left2, N, [?none|Acc], ThrowList, Opaques);
+inf_union([T1|Left1], [T2|Left2], N, Acc, ThrowList, Opaques) ->
+ try t_inf(T1, T2, Opaques) of
+ ?none -> inf_union(Left1, Left2, N, [?none|Acc], ThrowList, Opaques);
+ T -> inf_union(Left1, Left2, N+1, [T|Acc], ThrowList, Opaques)
+ catch throw:N when is_integer(N) ->
+ inf_union(Left1, Left2, N, [?none|Acc], [N|ThrowList], Opaques)
end;
-inf_union([], [], N, Acc, _Mode) ->
- if N =:= 0 -> ?none;
+inf_union([], [], N, Acc, ThrowList, _Opaques) ->
+ if N =:= 0 -> {?none, ThrowList};
N =:= 1 ->
[Type] = [T || T <- Acc, T =/= ?none],
- Type;
- N >= 2 -> ?union(lists:reverse(Acc))
+ {Type, ThrowList};
+ N >= 2 -> {?union(lists:reverse(Acc)), ThrowList}
end.
inf_bitstr(U1, B1, U2, B2) ->
@@ -2494,13 +3055,13 @@ findfirst(N1, N2, U1, B1, U2, B2) ->
%% to types. Hans Bolinder suggested the use of lists of Key-Value pairs for
%% this data structure and measurements showed a non-trivial speedup when using
%% them for operations within this module (e.g. in t_unify/2). However, there
-%% is code outside erl_types that still passes a dict() in the 2nd argument.
+%% is code outside erl_types that still passes a dict:dict() in the 2nd argument.
%% So, for the time being, this module provides a t_subst/2 function for these
%% external calls and a clone of it (t_subst_kv/2) which is used from all calls
%% from within this module. This code duplication needs to be eliminated at
%% some point.
--spec t_subst(erl_type(), dict()) -> erl_type().
+-spec t_subst(erl_type(), dict:dict(atom(), erl_type())) -> erl_type().
t_subst(T, Dict) ->
case t_has_var(T) of
@@ -2536,6 +3097,16 @@ t_subst_dict(?tuple(Elements, _Arity, _Tag), Dict) ->
t_tuple([t_subst_dict(E, Dict) || E <- Elements]);
t_subst_dict(?tuple_set(_) = TS, Dict) ->
t_sup([t_subst_dict(T, Dict) || T <- t_tuple_subtypes(TS)]);
+t_subst_dict(?map(Pairs), Dict) ->
+ ?map([{t_subst_dict(K, Dict), t_subst_dict(V, Dict)} ||
+ {K, V} <- Pairs]);
+t_subst_dict(?opaque(Es), Dict) ->
+ List = [Opaque#opaque{args = [t_subst_dict(Arg, Dict) || Arg <- Args],
+ struct = t_subst_dict(S, Dict)} ||
+ Opaque = #opaque{args = Args, struct = S} <- set_to_list(Es)],
+ ?opaque(ordsets:from_list(List));
+t_subst_dict(?union(List), Dict) ->
+ ?union([t_subst_dict(E, Dict) || E <- List]);
t_subst_dict(T, _Dict) ->
T.
@@ -2578,9 +3149,31 @@ t_subst_aux(?tuple(Elements, _Arity, _Tag), VarMap) ->
t_tuple([t_subst_aux(E, VarMap) || E <- Elements]);
t_subst_aux(?tuple_set(_) = TS, VarMap) ->
t_sup([t_subst_aux(T, VarMap) || T <- t_tuple_subtypes(TS)]);
+t_subst_aux(?map(Pairs), VarMap) ->
+ ?map([{t_subst_aux(K, VarMap), t_subst_aux(V, VarMap)} ||
+ {K, V} <- Pairs]);
+t_subst_aux(?opaque(Es), VarMap) ->
+ List = [Opaque#opaque{args = [t_subst_aux(Arg, VarMap) || Arg <- Args],
+ struct = t_subst_aux(S, VarMap)} ||
+ Opaque = #opaque{args = Args, struct = S} <- set_to_list(Es)],
+ ?opaque(ordsets:from_list(List));
+t_subst_aux(?union(List), VarMap) ->
+ ?union([t_subst_aux(E, VarMap) || E <- List]);
t_subst_aux(T, _VarMap) ->
T.
+-spec subst_all_remote(erl_type(), erl_type()) -> erl_type().
+
+subst_all_remote(Type0, Substitute) ->
+ Map =
+ fun(Type) ->
+ case erl_types:t_is_remote(Type) of
+ true -> Substitute;
+ false -> Type
+ end
+ end,
+ erl_types:t_map(Map, Type0).
+
%%-----------------------------------------------------------------------------
%% Unification
%%
@@ -2590,112 +3183,152 @@ t_subst_aux(T, _VarMap) ->
-spec t_unify(erl_type(), erl_type()) -> t_unify_ret().
t_unify(T1, T2) ->
- t_unify(T1, T2, []).
-
--spec t_unify(erl_type(), erl_type(), [erl_type()]) -> t_unify_ret().
-
-t_unify(T1, T2, Opaques) ->
- {T, VarMap} = t_unify(T1, T2, [], Opaques),
+ {T, VarMap} = t_unify(T1, T2, []),
{t_subst_kv(T, VarMap), lists:keysort(1, VarMap)}.
-t_unify(?var(Id) = T, ?var(Id), VarMap, _Opaques) ->
+t_unify(?var(Id) = T, ?var(Id), VarMap) ->
{T, VarMap};
-t_unify(?var(Id1) = T, ?var(Id2), VarMap, Opaques) ->
+t_unify(?var(Id1) = T, ?var(Id2), VarMap) ->
case lists:keyfind(Id1, 1, VarMap) of
false ->
case lists:keyfind(Id2, 1, VarMap) of
false -> {T, [{Id2, T} | VarMap]};
- {Id2, Type} -> t_unify(T, Type, VarMap, Opaques)
+ {Id2, Type} -> t_unify(T, Type, VarMap)
end;
{Id1, Type1} ->
case lists:keyfind(Id2, 1, VarMap) of
false -> {Type1, [{Id2, T} | VarMap]};
- {Id2, Type2} -> t_unify(Type1, Type2, VarMap, Opaques)
+ {Id2, Type2} -> t_unify(Type1, Type2, VarMap)
end
end;
-t_unify(?var(Id), Type, VarMap, Opaques) ->
+t_unify(?var(Id), Type, VarMap) ->
case lists:keyfind(Id, 1, VarMap) of
false -> {Type, [{Id, Type} | VarMap]};
- {Id, VarType} -> t_unify(VarType, Type, VarMap, Opaques)
+ {Id, VarType} -> t_unify(VarType, Type, VarMap)
end;
-t_unify(Type, ?var(Id), VarMap, Opaques) ->
+t_unify(Type, ?var(Id), VarMap) ->
case lists:keyfind(Id, 1, VarMap) of
false -> {Type, [{Id, Type} | VarMap]};
- {Id, VarType} -> t_unify(VarType, Type, VarMap, Opaques)
+ {Id, VarType} -> t_unify(VarType, Type, VarMap)
end;
-t_unify(?function(Domain1, Range1), ?function(Domain2, Range2), VarMap, Opaques) ->
- {Domain, VarMap1} = t_unify(Domain1, Domain2, VarMap, Opaques),
- {Range, VarMap2} = t_unify(Range1, Range2, VarMap1, Opaques),
+t_unify(?function(Domain1, Range1), ?function(Domain2, Range2), VarMap) ->
+ {Domain, VarMap1} = t_unify(Domain1, Domain2, VarMap),
+ {Range, VarMap2} = t_unify(Range1, Range2, VarMap1),
{?function(Domain, Range), VarMap2};
t_unify(?list(Contents1, Termination1, Size),
- ?list(Contents2, Termination2, Size), VarMap, Opaques) ->
- {Contents, VarMap1} = t_unify(Contents1, Contents2, VarMap, Opaques),
- {Termination, VarMap2} = t_unify(Termination1, Termination2, VarMap1, Opaques),
+ ?list(Contents2, Termination2, Size), VarMap) ->
+ {Contents, VarMap1} = t_unify(Contents1, Contents2, VarMap),
+ {Termination, VarMap2} = t_unify(Termination1, Termination2, VarMap1),
{?list(Contents, Termination, Size), VarMap2};
-t_unify(?product(Types1), ?product(Types2), VarMap, Opaques) ->
- {Types, VarMap1} = unify_lists(Types1, Types2, VarMap, Opaques),
+t_unify(?product(Types1), ?product(Types2), VarMap) ->
+ {Types, VarMap1} = unify_lists(Types1, Types2, VarMap),
{?product(Types), VarMap1};
-t_unify(?tuple(?any, ?any, ?any) = T, ?tuple(?any, ?any, ?any), VarMap, _Opaques) ->
+t_unify(?tuple(?any, ?any, ?any) = T, ?tuple(?any, ?any, ?any), VarMap) ->
{T, VarMap};
t_unify(?tuple(Elements1, Arity, _),
- ?tuple(Elements2, Arity, _), VarMap, Opaques) when Arity =/= ?any ->
- {NewElements, VarMap1} = unify_lists(Elements1, Elements2, VarMap, Opaques),
+ ?tuple(Elements2, Arity, _), VarMap) when Arity =/= ?any ->
+ {NewElements, VarMap1} = unify_lists(Elements1, Elements2, VarMap),
{t_tuple(NewElements), VarMap1};
t_unify(?tuple_set([{Arity, _}]) = T1,
- ?tuple(_, Arity, _) = T2, VarMap, Opaques) when Arity =/= ?any ->
- unify_tuple_set_and_tuple(T1, T2, VarMap, Opaques);
+ ?tuple(_, Arity, _) = T2, VarMap) when Arity =/= ?any ->
+ unify_tuple_set_and_tuple1(T1, T2, VarMap);
t_unify(?tuple(_, Arity, _) = T1,
- ?tuple_set([{Arity, _}]) = T2, VarMap, Opaques) when Arity =/= ?any ->
- unify_tuple_set_and_tuple(T2, T1, VarMap, Opaques);
-t_unify(?tuple_set(List1), ?tuple_set(List2), VarMap, Opaques) ->
- {Tuples, NewVarMap} =
- unify_lists(lists:append([T || {_Arity, T} <- List1]),
- lists:append([T || {_Arity, T} <- List2]), VarMap, Opaques),
- {t_sup(Tuples), NewVarMap};
-t_unify(?opaque(Elements) = T, ?opaque(Elements), VarMap, _Opaques) ->
- {T, VarMap};
-t_unify(?opaque(_) = T1, ?opaque(_) = T2, _VarMap, _Opaques) ->
- throw({mismatch, T1, T2});
-t_unify(Type, ?opaque(_) = OpType, VarMap, Opaques) ->
- t_unify_with_opaque(Type, OpType, VarMap, Opaques);
-t_unify(?opaque(_) = OpType, Type, VarMap, Opaques) ->
- t_unify_with_opaque(Type, OpType, VarMap, Opaques);
-t_unify(T, T, VarMap, _Opaques) ->
+ ?tuple_set([{Arity, _}]) = T2, VarMap) when Arity =/= ?any ->
+ unify_tuple_set_and_tuple2(T1, T2, VarMap);
+t_unify(?tuple_set(List1) = T1, ?tuple_set(List2) = T2, VarMap) ->
+ try
+ unify_lists(lists:append([T || {_Arity, T} <- List1]),
+ lists:append([T || {_Arity, T} <- List2]), VarMap)
+ of
+ {Tuples, NewVarMap} -> {t_sup(Tuples), NewVarMap}
+ catch _:_ -> throw({mismatch, T1, T2})
+ end;
+t_unify(?opaque(_) = T1, ?opaque(_) = T2, VarMap) ->
+ t_unify(t_opaque_structure(T1), t_opaque_structure(T2), VarMap);
+t_unify(T1, ?opaque(_) = T2, VarMap) ->
+ t_unify(T1, t_opaque_structure(T2), VarMap);
+t_unify(?opaque(_) = T1, T2, VarMap) ->
+ t_unify(t_opaque_structure(T1), T2, VarMap);
+t_unify(T, T, VarMap) ->
{T, VarMap};
-t_unify(T1, T2, _, _) ->
+t_unify(?union(_)=T1, ?union(_)=T2, VarMap) ->
+ {Type1, Type2} = unify_union2(T1, T2),
+ t_unify(Type1, Type2, VarMap);
+t_unify(?union(_)=T1, T2, VarMap) ->
+ t_unify(unify_union1(T1, T1, T2), T2, VarMap);
+t_unify(T1, ?union(_)=T2, VarMap) ->
+ t_unify(T1, unify_union1(T2, T1, T2), VarMap);
+t_unify(T1, T2, _) ->
throw({mismatch, T1, T2}).
-t_unify_with_opaque(Type, OpType, VarMap, Opaques) ->
- case lists:member(OpType, Opaques) of
+unify_union2(?union(List1)=T1, ?union(List2)=T2) ->
+ case {unify_union(List1), unify_union(List2)} of
+ {{yes, Type1}, {yes, Type2}} -> {Type1, Type2};
+ {{yes, Type1}, no} -> {Type1, T2};
+ {no, {yes, Type2}} -> {T1, Type2};
+ {no, no} -> throw({mismatch, T1, T2})
+ end.
+
+unify_union1(?union(List), T1, T2) ->
+ case unify_union(List) of
+ {yes, Type} -> Type;
+ no -> throw({mismatch, T1, T2})
+ end.
+
+unify_union(List) ->
+ [A,B,F,I,L,N,T,M,O,R,Map] = List,
+ if O =:= ?none -> no;
true ->
- Struct = t_opaque_structure(OpType),
- try t_unify(Type, Struct, VarMap, Opaques) of
- {_T, VarMap1} -> {OpType, VarMap1}
- catch
- throw:{mismatch, _T1, _T2} ->
- case t_inf(OpType, Type, opaque) of
- ?none -> throw({mismatch, Type, OpType});
- _ -> {OpType, VarMap}
- end
- end;
- false ->
- throw({mismatch, Type, OpType})
+ S = t_opaque_structure(O),
+ {yes, t_sup([A,B,F,I,L,N,T,M,S,R,Map])}
end.
-unify_tuple_set_and_tuple(?tuple_set([{Arity, List}]),
- ?tuple(Elements2, Arity, _), VarMap, Opaques) ->
+-spec is_opaque_type(erl_type(), [erl_type()]) -> boolean().
+
+%% An opaque type is a union of types. Returns true iff any of the type
+%% names (Module and Name) of the first argument (the opaque type to
+%% check) occurs in any of the opaque types of the second argument.
+is_opaque_type(?opaque(Elements), Opaques) ->
+ lists:any(fun(Opaque) -> is_opaque_type2(Opaque, Opaques) end, Elements).
+
+is_opaque_type2(#opaque{mod = Mod1, name = Name1, args = Args1}, Opaques) ->
+ F1 = fun(?opaque(Es)) ->
+ F2 = fun(#opaque{mod = Mod, name = Name, args = Args}) ->
+ is_type_name(Mod1, Name1, Args1, Mod, Name, Args)
+ end,
+ lists:any(F2, Es)
+ end,
+ lists:any(F1, Opaques).
+
+is_type_name(Mod, Name, Args1, Mod, Name, Args2) ->
+ length(Args1) =:= length(Args2);
+is_type_name(Mod1, Name1, Args1, Mod2, Name2, Args2) ->
+ is_same_type_name2(Mod1, Name1, Args1, Mod2, Name2, Args2).
+
+%% Two functions since t_unify is not symmetric.
+unify_tuple_set_and_tuple1(?tuple_set([{Arity, List}]),
+ ?tuple(Elements2, Arity, _), VarMap) ->
+ %% Can only work if the single tuple has variables at correct places.
+ %% Collapse the tuple set.
+ {NewElements, VarMap1} =
+ unify_lists(sup_tuple_elements(List), Elements2, VarMap),
+ {t_tuple(NewElements), VarMap1}.
+
+unify_tuple_set_and_tuple2(?tuple(Elements2, Arity, _),
+ ?tuple_set([{Arity, List}]), VarMap) ->
%% Can only work if the single tuple has variables at correct places.
%% Collapse the tuple set.
- {NewElements, VarMap1} = unify_lists(sup_tuple_elements(List), Elements2, VarMap, Opaques),
+ {NewElements, VarMap1} =
+ unify_lists(Elements2, sup_tuple_elements(List), VarMap),
{t_tuple(NewElements), VarMap1}.
-unify_lists(L1, L2, VarMap, Opaques) ->
- unify_lists(L1, L2, VarMap, [], Opaques).
+unify_lists(L1, L2, VarMap) ->
+ unify_lists(L1, L2, VarMap, []).
-unify_lists([T1|Left1], [T2|Left2], VarMap, Acc, Opaques) ->
- {NewT, NewVarMap} = t_unify(T1, T2, VarMap, Opaques),
- unify_lists(Left1, Left2, NewVarMap, [NewT|Acc], Opaques);
-unify_lists([], [], VarMap, Acc, _Opaques) ->
+unify_lists([T1|Left1], [T2|Left2], VarMap, Acc) ->
+ {NewT, NewVarMap} = t_unify(T1, T2, VarMap),
+ unify_lists(Left1, Left2, NewVarMap, [NewT|Acc]);
+unify_lists([], [], VarMap, Acc) ->
{lists:reverse(Acc), VarMap}.
%%t_assign_variables_to_subtype(T1, T2) ->
@@ -2837,11 +3470,12 @@ t_subtract(?identifier(Set1), ?identifier(Set2)) ->
?none -> ?none;
Set -> ?identifier(Set)
end;
-t_subtract(?opaque(Set1), ?opaque(Set2)) ->
- case set_subtract(Set1, Set2) of
- ?none -> ?none;
- Set -> ?opaque(Set)
- end;
+t_subtract(?opaque(_)=T1, ?opaque(_)=T2) ->
+ opaque_subtract(T1, t_opaque_structure(T2));
+t_subtract(?opaque(_)=T1, T2) ->
+ opaque_subtract(T1, T2);
+t_subtract(T1, ?opaque(_)=T2) ->
+ t_subtract(T1, t_opaque_structure(T2));
t_subtract(?matchstate(Pres1, Slots1), ?matchstate(Pres2, _Slots2)) ->
Pres = t_subtract(Pres1, Pres2),
case t_is_none(Pres) of
@@ -2965,6 +3599,8 @@ t_subtract(?product(Elements1) = T1, ?product(Elements2)) ->
_ -> T1
end
end;
+t_subtract(?map(_) = T, _) -> % XXX: very crude; will probably need refinement
+ T;
t_subtract(?product(P1), _) ->
?product(P1);
t_subtract(T, ?product(_)) ->
@@ -2976,6 +3612,17 @@ t_subtract(T1, T2) ->
?union(U2) = force_union(T2),
subtract_union(U1, U2).
+-spec opaque_subtract(erl_type(), erl_type()) -> erl_type().
+
+opaque_subtract(?opaque(Set1), T2) ->
+ List = [T1#opaque{struct = Sub} ||
+ #opaque{struct = S1}=T1 <- set_to_list(Set1),
+ not t_is_none(Sub = t_subtract(S1, T2))],
+ case List of
+ [] -> ?none;
+ _ -> ?opaque(ordsets:from_list(List))
+ end.
+
-spec t_subtract_lists([erl_type()], [erl_type()]) -> [erl_type()].
t_subtract_lists(L1, L2) ->
@@ -2991,7 +3638,18 @@ t_subtract_lists([], [], Acc) ->
-spec subtract_union([erl_type(),...], [erl_type(),...]) -> erl_type().
subtract_union(U1, U2) ->
- subtract_union(U1, U2, 0, []).
+ [A1,B1,F1,I1,L1,N1,T1,M1,O1,R1,Map1] = U1,
+ [A2,B2,F2,I2,L2,N2,T2,M2,O2,R2,Map2] = U2,
+ List1 = [A1,B1,F1,I1,L1,N1,T1,M1,?none,R1,Map1],
+ List2 = [A2,B2,F2,I2,L2,N2,T2,M2,?none,R2,Map2],
+ Sub1 = subtract_union(List1, List2, 0, []),
+ O = if O1 =:= ?none -> O1;
+ true -> t_subtract(O1, ?union(U2))
+ end,
+ Sub2 = if O2 =:= ?none -> Sub1;
+ true -> t_subtract(Sub1, t_opaque_structure(O2))
+ end,
+ t_sup(O, Sub2).
-spec subtract_union([erl_type()], [erl_type()], non_neg_integer(), [erl_type()]) -> erl_type().
@@ -3052,10 +3710,24 @@ t_is_equal(_, _) -> false.
t_is_subtype(T1, T2) ->
Inf = t_inf(T1, T2),
- t_is_equal(T1, Inf).
+ subtype_is_equal(T1, Inf).
+
+%% The subtype relation has to behave correctly irrespective of opaque
+%% types.
+subtype_is_equal(T, T) -> true;
+subtype_is_equal(T1, T2) ->
+ t_is_equal(case t_contains_opaque(T1) of
+ true -> t_unopaque(T1);
+ false -> T1
+ end,
+ case t_contains_opaque(T2) of
+ true -> t_unopaque(T2);
+ false -> T2
+ end).
-spec t_is_instance(erl_type(), erl_type()) -> boolean().
+%% XXX. To be removed.
t_is_instance(ConcreteType, Type) ->
t_is_subtype(ConcreteType, t_unopaque(Type)).
@@ -3067,12 +3739,12 @@ t_unopaque(T) ->
-spec t_unopaque(erl_type(), 'universe' | [erl_type()]) -> erl_type().
t_unopaque(?opaque(_) = T, Opaques) ->
- case Opaques =:= universe orelse lists:member(T, Opaques) of
+ case Opaques =:= 'universe' orelse is_opaque_type(T, Opaques) of
true -> t_unopaque(t_opaque_structure(T), Opaques);
- false -> T % XXX: needs revision for parametric opaque data types
+ false -> T
end;
t_unopaque(?list(ElemT, Termination, Sz), Opaques) ->
- ?list(t_unopaque(ElemT, Opaques), Termination, Sz);
+ ?list(t_unopaque(ElemT, Opaques), t_unopaque(Termination, Opaques), Sz);
t_unopaque(?tuple(?any, _, _) = T, _) -> T;
t_unopaque(?tuple(ArgTs, Sz, Tag), Opaques) when is_list(ArgTs) ->
NewArgTs = [t_unopaque(A, Opaques) || A <- ArgTs],
@@ -3081,14 +3753,20 @@ t_unopaque(?tuple_set(Set), Opaques) ->
NewSet = [{Sz, [t_unopaque(T, Opaques) || T <- Tuples]}
|| {Sz, Tuples} <- Set],
?tuple_set(NewSet);
-t_unopaque(?union([A,B,F,I,L,N,T,M,O,R]), Opaques) ->
+t_unopaque(?product(Types), Opaques) ->
+ ?product([t_unopaque(T, Opaques) || T <- Types]);
+t_unopaque(?function(Domain, Range), Opaques) ->
+ ?function(t_unopaque(Domain, Opaques), t_unopaque(Range, Opaques));
+t_unopaque(?union([A,B,F,I,L,N,T,M,O,R,Map]), Opaques) ->
UL = t_unopaque(L, Opaques),
UT = t_unopaque(T, Opaques),
- UO = case O of
- ?none -> [];
- ?opaque(Os) -> [t_unopaque(S, Opaques) || #opaque{struct = S} <- Os]
- end,
- t_sup([?union([A,B,F,I,UL,N,UT,M,?none,R])|UO]);
+ UF = t_unopaque(F, Opaques),
+ UMap = t_unopaque(Map, Opaques),
+ {OF,UO} = case t_unopaque(O, Opaques) of
+ ?opaque(_) = O1 -> {O1, []};
+ Type -> {?none, [Type]}
+ end,
+ t_sup([?union([A,B,UF,I,UL,N,UT,M,OF,R,UMap])|UO]);
t_unopaque(T, _) ->
T.
@@ -3134,6 +3812,12 @@ t_limit_k(?product(Elements), K) ->
?product([t_limit_k(X, K - 1) || X <- Elements]);
t_limit_k(?union(Elements), K) ->
?union([t_limit_k(X, K) || X <- Elements]);
+t_limit_k(?opaque(Es), K) ->
+ List = [begin
+ NewS = t_limit_k(S, K),
+ Opaque#opaque{struct = NewS}
+ end || #opaque{struct = S} = Opaque <- set_to_list(Es)],
+ ?opaque(ordsets:from_list(List));
t_limit_k(T, _K) -> T.
%%============================================================================
@@ -3142,7 +3826,7 @@ t_limit_k(T, _K) -> T.
%%
%%============================================================================
--spec t_abstract_records(erl_type(), dict()) -> erl_type().
+-spec t_abstract_records(erl_type(), type_table()) -> erl_type().
t_abstract_records(?list(Contents, Termination, Size), RecDict) ->
case t_abstract_records(Contents, RecDict) of
@@ -3167,7 +3851,7 @@ t_abstract_records(?union(Types), RecDict) ->
t_abstract_records(?tuple(?any, ?any, ?any) = T, _RecDict) ->
T;
t_abstract_records(?tuple(Elements, Arity, ?atom(_) = Tag), RecDict) ->
- [TagAtom] = t_atom_vals(Tag),
+ [TagAtom] = atom_vals(Tag),
case lookup_record(TagAtom, Arity - 1, RecDict) of
error -> t_tuple([t_abstract_records(E, RecDict) || E <- Elements]);
{ok, Fields} -> t_tuple([Tag|[T || {_Name, T} <- Fields]])
@@ -3176,6 +3860,8 @@ t_abstract_records(?tuple(Elements, _Arity, _Tag), RecDict) ->
t_tuple([t_abstract_records(E, RecDict) || E <- Elements]);
t_abstract_records(?tuple_set(_) = Tuples, RecDict) ->
t_sup([t_abstract_records(T, RecDict) || T <- t_tuple_subtypes(Tuples)]);
+t_abstract_records(?opaque(_)=Type, RecDict) ->
+ t_abstract_records(t_opaque_structure(Type), RecDict);
t_abstract_records(T, _RecDict) ->
T.
@@ -3198,6 +3884,14 @@ t_map(Fun, ?tuple(Elements, _Arity, _Tag)) ->
Fun(t_tuple([t_map(Fun, E) || E <- Elements]));
t_map(Fun, ?tuple_set(_) = Tuples) ->
Fun(t_sup([t_map(Fun, T) || T <- t_tuple_subtypes(Tuples)]));
+t_map(Fun, ?opaque(Set)) ->
+ L = [Opaque#opaque{struct = NewS} ||
+ #opaque{struct = S} = Opaque <- set_to_list(Set),
+ not t_is_none(NewS = t_map(Fun, S))],
+ Fun(case L of
+ [] -> ?none;
+ _ -> ?opaque(ordsets:from_list(L))
+ end);
t_map(Fun, T) ->
Fun(T).
@@ -3212,7 +3906,7 @@ t_map(Fun, T) ->
t_to_string(T) ->
t_to_string(T, dict:new()).
--spec t_to_string(erl_type(), dict()) -> string().
+-spec t_to_string(erl_type(), type_table()) -> string().
t_to_string(?any, _RecDict) ->
"any()";
@@ -3239,11 +3933,11 @@ t_to_string(?bitstr(8, 0), _RecDict) ->
t_to_string(?bitstr(1, 0), _RecDict) ->
"bitstring()";
t_to_string(?bitstr(0, B), _RecDict) ->
- lists:flatten(io_lib:format("<<_:~w>>", [B]));
+ flat_format("<<_:~w>>", [B]);
t_to_string(?bitstr(U, 0), _RecDict) ->
- lists:flatten(io_lib:format("<<_:_*~w>>", [U]));
+ flat_format("<<_:_*~w>>", [U]);
t_to_string(?bitstr(U, B), _RecDict) ->
- lists:flatten(io_lib:format("<<_:~w,_:_*~w>>", [B, U]));
+ flat_format("<<_:~w,_:_*~w>>", [B, U]);
t_to_string(?function(?any, ?any), _RecDict) ->
"fun()";
t_to_string(?function(?any, Range), RecDict) ->
@@ -3255,18 +3949,16 @@ t_to_string(?identifier(Set), _RecDict) ->
case Set of
?any -> "identifier()";
_ ->
- string:join([io_lib:format("~w()", [T]) || T <- set_to_list(Set)], " | ")
+ string:join([flat_format("~w()", [T]) || T <- set_to_list(Set)], " | ")
end;
-t_to_string(?opaque(Set), _RecDict) ->
- string:join([case is_opaque_builtin(Mod, Name) of
- true -> io_lib:format("~w()", [Name]);
- false -> io_lib:format("~w:~w()", [Mod, Name])
- end
- || #opaque{mod = Mod, name = Name} <- set_to_list(Set)],
+t_to_string(?opaque(Set), RecDict) ->
+ string:join([opaque_type(Mod, Name, Args, S, RecDict) ||
+ #opaque{mod = Mod, name = Name, struct = S, args = Args}
+ <- set_to_list(Set)],
" | ");
t_to_string(?matchstate(Pres, Slots), RecDict) ->
- io_lib:format("ms(~s,~s)", [t_to_string(Pres, RecDict),
- t_to_string(Slots,RecDict)]);
+ flat_format("ms(~s,~s)", [t_to_string(Pres, RecDict),
+ t_to_string(Slots,RecDict)]);
t_to_string(?nil, _RecDict) ->
"[]";
t_to_string(?nonempty_list(Contents, Termination), RecDict) ->
@@ -3282,7 +3974,9 @@ t_to_string(?nonempty_list(Contents, Termination), RecDict) ->
case Contents =:= ?any of
true -> ok;
false ->
- erlang:error({illegal_list, ?nonempty_list(Contents, Termination)})
+ %% XXX. See comment below.
+ %% erlang:error({illegal_list, ?nonempty_list(Contents, Termination)})
+ ok
end,
"nonempty_maybe_improper_list()";
_ ->
@@ -3305,11 +3999,14 @@ t_to_string(?list(Contents, Termination, ?unknown_qual), RecDict) ->
end;
?any ->
%% Just a safety check.
+ %% XXX. Types such as "maybe_improper_list(integer(), any())"
+ %% are OK, but cannot be printed!?
case Contents =:= ?any of
true -> ok;
false ->
- L = ?list(Contents, Termination, ?unknown_qual),
- erlang:error({illegal_list, L})
+ ok
+ %% L = ?list(Contents, Termination, ?unknown_qual),
+ %% erlang:error({illegal_list, L})
end,
"maybe_improper_list()";
_ ->
@@ -3330,7 +4027,7 @@ t_to_string(?integer_pos, _RecDict) -> "pos_integer()";
t_to_string(?integer_non_neg, _RecDict) -> "non_neg_integer()";
t_to_string(?integer_neg, _RecDict) -> "neg_integer()";
t_to_string(?int_range(From, To), _RecDict) ->
- lists:flatten(io_lib:format("~w..~w", [From, To]));
+ flat_format("~w..~w", [From, To]);
t_to_string(?integer(?any), _RecDict) -> "integer()";
t_to_string(?float, _RecDict) -> "float()";
t_to_string(?number(?any, ?unknown_qual), _RecDict) -> "number()";
@@ -3338,19 +4035,21 @@ t_to_string(?product(List), RecDict) ->
"<" ++ comma_sequence(List, RecDict) ++ ">";
t_to_string(?remote(Set), RecDict) ->
string:join([case Args =:= [] of
- true -> io_lib:format("~w:~w()", [Mod, Name]);
+ true -> flat_format("~w:~w()", [Mod, Name]);
false ->
ArgString = comma_sequence(Args, RecDict),
- io_lib:format("~w:~w(~s)", [Mod, Name, ArgString])
+ flat_format("~w:~w(~s)", [Mod, Name, ArgString])
end
|| #remote{mod = Mod, name = Name, args = Args} <-
set_to_list(Set)],
" | ");
+t_to_string(?map(Pairs), RecDict) ->
+ "#{" ++ map_pairs_to_string(Pairs,RecDict) ++ "}";
t_to_string(?tuple(?any, ?any, ?any), _RecDict) -> "tuple()";
t_to_string(?tuple(Elements, _Arity, ?any), RecDict) ->
"{" ++ comma_sequence(Elements, RecDict) ++ "}";
t_to_string(?tuple(Elements, Arity, Tag), RecDict) ->
- [TagAtom] = t_atom_vals(Tag),
+ [TagAtom] = atom_vals(Tag),
case lookup_record(TagAtom, Arity-1, RecDict) of
error -> "{" ++ comma_sequence(Elements, RecDict) ++ "}";
{ok, FieldNames} ->
@@ -3361,9 +4060,16 @@ t_to_string(?tuple_set(_) = T, RecDict) ->
t_to_string(?union(Types), RecDict) ->
union_sequence([T || T <- Types, T =/= ?none], RecDict);
t_to_string(?var(Id), _RecDict) when is_atom(Id) ->
- io_lib:format("~s", [atom_to_list(Id)]);
+ flat_format("~s", [atom_to_list(Id)]);
t_to_string(?var(Id), _RecDict) when is_integer(Id) ->
- io_lib:format("var(~w)", [Id]).
+ flat_format("var(~w)", [Id]).
+
+
+map_pairs_to_string([],_) -> [];
+map_pairs_to_string(Pairs,RecDict) ->
+ StrPairs = [{t_to_string(K,RecDict),t_to_string(V,RecDict)}||{K,V}<-Pairs],
+ string:join([K ++ "=>" ++ V||{K,V}<-StrPairs], ", ").
+
record_to_string(Tag, [_|Fields], FieldNames, RecDict) ->
FieldStrings = record_fields_to_string(Fields, FieldNames, RecDict, []),
@@ -3371,7 +4077,7 @@ record_to_string(Tag, [_|Fields], FieldNames, RecDict) ->
record_fields_to_string([F|Fs], [{FName, _DefType}|FDefs], RecDict, Acc) ->
NewAcc =
- case t_is_any(F) orelse t_is_atom('undefined', F) of
+ case t_is_equal(F, t_any()) orelse t_is_any_atom('undefined', F) of
true -> Acc;
false ->
StrFV = atom_to_string(FName) ++ "::" ++ t_to_string(F, RecDict),
@@ -3386,16 +4092,17 @@ record_fields_to_string([F|Fs], [{FName, _DefType}|FDefs], RecDict, Acc) ->
record_fields_to_string([], [], _RecDict, Acc) ->
lists:reverse(Acc).
--spec record_field_diffs_to_string(erl_type(), dict()) -> string().
+-spec record_field_diffs_to_string(erl_type(), type_table()) -> string().
record_field_diffs_to_string(?tuple([_|Fs], Arity, Tag), RecDict) ->
- [TagAtom] = t_atom_vals(Tag),
+ [TagAtom] = atom_vals(Tag),
{ok, FieldNames} = lookup_record(TagAtom, Arity-1, RecDict),
%% io:format("RecCElems = ~p\nRecTypes = ~p\n", [Fs, FieldNames]),
FieldDiffs = field_diffs(Fs, FieldNames, RecDict, []),
string:join(FieldDiffs, " and ").
field_diffs([F|Fs], [{FName, DefType}|FDefs], RecDict, Acc) ->
+ %% Don't care about opaqueness for now.
NewAcc =
case not t_is_none(t_inf(F, DefType)) of
true -> Acc;
@@ -3418,6 +4125,32 @@ union_sequence(Types, RecDict) ->
List = [t_to_string(T, RecDict) || T <- Types],
string:join(List, " | ").
+-ifdef(DEBUG).
+opaque_type(Mod, Name, _Args, S, RecDict) ->
+ ArgsString = comma_sequence(_Args, RecDict),
+ String = t_to_string(S, RecDict),
+ opaque_name(Mod, Name, ArgsString) ++ "[" ++ String ++ "]".
+-else.
+opaque_type(Mod, Name, Args, _S, RecDict) ->
+ ArgsString = comma_sequence(Args, RecDict),
+ opaque_name(Mod, Name, ArgsString).
+-endif.
+
+opaque_name(Mod, Name, Extra) ->
+ S = mod_name(Mod, Name),
+ flat_format("~s(~s)", [S, Extra]).
+
+mod_name(Mod, Name) ->
+ case is_obsolete_opaque_builtin(Mod, Name) of
+ true -> flat_format("~w", [Name]);
+ false -> flat_format("~w:~w", [Mod, Name])
+ end.
+
+is_obsolete_opaque_builtin(digraph, digraph) -> true;
+is_obsolete_opaque_builtin(gb_sets, gb_set) -> true;
+is_obsolete_opaque_builtin(gb_trees, gb_tree) -> true;
+is_obsolete_opaque_builtin(_, _) -> false.
+
%%=============================================================================
%%
%% Build a type from parse forms.
@@ -3429,318 +4162,270 @@ union_sequence(Types, RecDict) ->
t_from_form(Form) ->
t_from_form(Form, dict:new()).
--spec t_from_form(parse_form(), dict()) -> erl_type().
+-spec t_from_form(parse_form(), type_table()) -> erl_type().
t_from_form(Form, RecDict) ->
t_from_form(Form, RecDict, dict:new()).
--spec t_from_form(parse_form(), dict(), dict()) -> erl_type().
+-spec t_from_form(parse_form(), type_table(), var_table()) -> erl_type().
t_from_form(Form, RecDict, VarDict) ->
- {T, _R} = t_from_form(Form, [], false, RecDict, VarDict),
+ {T, _R} = t_from_form(Form, [], RecDict, VarDict),
T.
--type type_names() :: [{'type' | 'opaque' | 'record', atom()}].
--spec t_from_form(parse_form(), type_names(), boolean(), dict(), dict()) ->
+-type type_names() :: [type_key() | record_key()].
+
+-spec t_from_form(parse_form(), type_names(), type_table(), var_table()) ->
{erl_type(), type_names()}.
-t_from_form({var, _L, '_'}, _TypeNames, _InOpaque, _RecDict, _VarDict) ->
+t_from_form({var, _L, '_'}, _TypeNames, _RecDict, _VarDict) ->
{t_any(), []};
-t_from_form({var, _L, Name}, _TypeNames, _InOpaque, _RecDict, VarDict) ->
+t_from_form({var, _L, Name}, _TypeNames, _RecDict, VarDict) ->
case dict:find(Name, VarDict) of
error -> {t_var(Name), []};
{ok, Val} -> {Val, []}
end;
-t_from_form({ann_type, _L, [_Var, Type]}, TypeNames, InOpaque, RecDict,
- VarDict) ->
- t_from_form(Type, TypeNames, InOpaque, RecDict, VarDict);
-t_from_form({paren_type, _L, [Type]}, TypeNames, InOpaque, RecDict,
- VarDict) ->
- t_from_form(Type, TypeNames, InOpaque, RecDict, VarDict);
+t_from_form({ann_type, _L, [_Var, Type]}, TypeNames, RecDict, VarDict) ->
+ t_from_form(Type, TypeNames, RecDict, VarDict);
+t_from_form({paren_type, _L, [Type]}, TypeNames, RecDict, VarDict) ->
+ t_from_form(Type, TypeNames, RecDict, VarDict);
t_from_form({remote_type, _L, [{atom, _, Module}, {atom, _, Type}, Args]},
- TypeNames, InOpaque, RecDict, VarDict) ->
- {L, R} = list_from_form(Args, TypeNames, InOpaque, RecDict, VarDict),
+ TypeNames, RecDict, VarDict) ->
+ {L, R} = list_from_form(Args, TypeNames, RecDict, VarDict),
{t_remote(Module, Type, L), R};
-t_from_form({atom, _L, Atom}, _TypeNames, _InOpaque, _RecDict, _VarDict) ->
+t_from_form({atom, _L, Atom}, _TypeNames, _RecDict, _VarDict) ->
{t_atom(Atom), []};
-t_from_form({integer, _L, Int}, _TypeNames, _InOpaque, _RecDict, _VarDict) ->
+t_from_form({integer, _L, Int}, _TypeNames, _RecDict, _VarDict) ->
{t_integer(Int), []};
-t_from_form({op, _L, _Op, _Arg} = Op, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({op, _L, _Op, _Arg} = Op, _TypeNames, _RecDict, _VarDict) ->
case erl_eval:partial_eval(Op) of
{integer, _, Val} ->
{t_integer(Val), []};
_ -> throw({error, io_lib:format("Unable to evaluate type ~w\n", [Op])})
end;
-t_from_form({op, _L, _Op, _Arg1, _Arg2} = Op, _TypeNames, _InOpaque,
+t_from_form({op, _L, _Op, _Arg1, _Arg2} = Op, _TypeNames,
_RecDict, _VarDict) ->
case erl_eval:partial_eval(Op) of
{integer, _, Val} ->
{t_integer(Val), []};
_ -> throw({error, io_lib:format("Unable to evaluate type ~w\n", [Op])})
end;
-t_from_form({type, _L, any, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, any, []}, _TypeNames, _RecDict, _VarDict) ->
{t_any(), []};
-t_from_form({type, _L, arity, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, arity, []}, _TypeNames, _RecDict, _VarDict) ->
{t_arity(), []};
-t_from_form({type, _L, array, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_array(), []};
-t_from_form({type, _L, atom, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, array, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(array, t_array(), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, atom, []}, _TypeNames, _RecDict, _VarDict) ->
{t_atom(), []};
-t_from_form({type, _L, binary, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, binary, []}, _TypeNames, _RecDict, _VarDict) ->
{t_binary(), []};
t_from_form({type, _L, binary, [Base, Unit]} = Type,
- _TypeNames, _InOpaque, _RecDict, _VarDict) ->
+ _TypeNames, _RecDict, _VarDict) ->
case {erl_eval:partial_eval(Base), erl_eval:partial_eval(Unit)} of
{{integer, _, B}, {integer, _, U}} when B >= 0, U >= 0 ->
{t_bitstr(U, B), []};
_ -> throw({error, io_lib:format("Unable to evaluate type ~w\n", [Type])})
end;
-t_from_form({type, _L, bitstring, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, bitstring, []}, _TypeNames, _RecDict, _VarDict) ->
{t_bitstr(), []};
-t_from_form({type, _L, bool, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, bool, []}, _TypeNames, _RecDict, _VarDict) ->
{t_boolean(), []}; % XXX: Temporarily
-t_from_form({type, _L, boolean, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, boolean, []}, _TypeNames, _RecDict, _VarDict) ->
{t_boolean(), []};
-t_from_form({type, _L, byte, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, byte, []}, _TypeNames, _RecDict, _VarDict) ->
{t_byte(), []};
-t_from_form({type, _L, char, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, char, []}, _TypeNames, _RecDict, _VarDict) ->
{t_char(), []};
-t_from_form({type, _L, dict, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_dict(), []};
-t_from_form({type, _L, digraph, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_digraph(), []};
-t_from_form({type, _L, float, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, dict, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(dict, t_dict(), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, digraph, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(digraph, t_digraph(), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, float, []}, _TypeNames, _RecDict, _VarDict) ->
{t_float(), []};
-t_from_form({type, _L, function, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, function, []}, _TypeNames, _RecDict, _VarDict) ->
{t_fun(), []};
-t_from_form({type, _L, 'fun', []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, 'fun', []}, _TypeNames, _RecDict, _VarDict) ->
{t_fun(), []};
t_from_form({type, _L, 'fun', [{type, _, any}, Range]}, TypeNames,
- InOpaque, RecDict, VarDict) ->
- {T, R} = t_from_form(Range, TypeNames, InOpaque, RecDict, VarDict),
+ RecDict, VarDict) ->
+ {T, R} = t_from_form(Range, TypeNames, RecDict, VarDict),
{t_fun(T), R};
t_from_form({type, _L, 'fun', [{type, _, product, Domain}, Range]},
- TypeNames, InOpaque, RecDict, VarDict) ->
- {L, R1} = list_from_form(Domain, TypeNames, InOpaque, RecDict, VarDict),
- {T, R2} = t_from_form(Range, TypeNames, InOpaque, RecDict, VarDict),
+ TypeNames, RecDict, VarDict) ->
+ {L, R1} = list_from_form(Domain, TypeNames, RecDict, VarDict),
+ {T, R2} = t_from_form(Range, TypeNames, RecDict, VarDict),
{t_fun(L, T), R1 ++ R2};
-t_from_form({type, _L, gb_set, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_gb_set(), []};
-t_from_form({type, _L, gb_tree, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_gb_tree(), []};
-t_from_form({type, _L, identifier, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, gb_set, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(gb_set, t_gb_set(), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, gb_tree, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(gb_tree, t_gb_tree(), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, identifier, []}, _TypeNames, _RecDict, _VarDict) ->
{t_identifier(), []};
-t_from_form({type, _L, integer, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, integer, []}, _TypeNames, _RecDict, _VarDict) ->
{t_integer(), []};
-t_from_form({type, _L, iodata, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, iodata, []}, _TypeNames, _RecDict, _VarDict) ->
{t_iodata(), []};
-t_from_form({type, _L, iolist, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, iolist, []}, _TypeNames, _RecDict, _VarDict) ->
{t_iolist(), []};
-t_from_form({type, _L, list, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, list, []}, _TypeNames, _RecDict, _VarDict) ->
{t_list(), []};
-t_from_form({type, _L, list, [Type]}, TypeNames, InOpaque, RecDict,
- VarDict) ->
- {T, R} = t_from_form(Type, TypeNames, InOpaque, RecDict, VarDict),
+t_from_form({type, _L, list, [Type]}, TypeNames, RecDict, VarDict) ->
+ {T, R} = t_from_form(Type, TypeNames, RecDict, VarDict),
{t_list(T), R};
-t_from_form({type, _L, mfa, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, map, _}, TypeNames, RecDict, VarDict) ->
+ builtin_type(map, t_map([]), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, mfa, []}, _TypeNames, _RecDict, _VarDict) ->
{t_mfa(), []};
-t_from_form({type, _L, module, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, module, []}, _TypeNames, _RecDict, _VarDict) ->
{t_module(), []};
-t_from_form({type, _L, nil, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, nil, []}, _TypeNames, _RecDict, _VarDict) ->
{t_nil(), []};
-t_from_form({type, _L, neg_integer, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, neg_integer, []}, _TypeNames, _RecDict, _VarDict) ->
{t_neg_integer(), []};
-t_from_form({type, _L, non_neg_integer, []}, _TypeNames, _InOpaque, _RecDict,
+t_from_form({type, _L, non_neg_integer, []}, _TypeNames, _RecDict,
_VarDict) ->
{t_non_neg_integer(), []};
-t_from_form({type, _L, no_return, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, no_return, []}, _TypeNames, _RecDict, _VarDict) ->
{t_unit(), []};
-t_from_form({type, _L, node, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, node, []}, _TypeNames, _RecDict, _VarDict) ->
{t_node(), []};
-t_from_form({type, _L, none, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, none, []}, _TypeNames, _RecDict, _VarDict) ->
{t_none(), []};
-t_from_form({type, _L, nonempty_list, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, nonempty_list, []}, _TypeNames, _RecDict, _VarDict) ->
{t_nonempty_list(), []};
-t_from_form({type, _L, nonempty_list, [Type]}, TypeNames, InOpaque, RecDict,
- VarDict) ->
- {T, R} = t_from_form(Type, TypeNames, InOpaque, RecDict, VarDict),
+t_from_form({type, _L, nonempty_list, [Type]}, TypeNames, RecDict, VarDict) ->
+ {T, R} = t_from_form(Type, TypeNames, RecDict, VarDict),
{t_nonempty_list(T), R};
t_from_form({type, _L, nonempty_improper_list, [Cont, Term]}, TypeNames,
- InOpaque, RecDict, VarDict) ->
- {T1, R1} = t_from_form(Cont, TypeNames, InOpaque, RecDict, VarDict),
- {T2, R2} = t_from_form(Term, TypeNames, InOpaque, RecDict, VarDict),
+ RecDict, VarDict) ->
+ {T1, R1} = t_from_form(Cont, TypeNames, RecDict, VarDict),
+ {T2, R2} = t_from_form(Term, TypeNames, RecDict, VarDict),
{t_cons(T1, T2), R1 ++ R2};
t_from_form({type, _L, nonempty_maybe_improper_list, []}, _TypeNames,
- _InOpaque, _RecDict, _VarDict) ->
+ _RecDict, _VarDict) ->
{t_cons(?any, ?any), []};
t_from_form({type, _L, nonempty_maybe_improper_list, [Cont, Term]},
- TypeNames, InOpaque, RecDict, VarDict) ->
- {T1, R1} = t_from_form(Cont, TypeNames, InOpaque, RecDict, VarDict),
- {T2, R2} = t_from_form(Term, TypeNames, InOpaque, RecDict, VarDict),
+ TypeNames, RecDict, VarDict) ->
+ {T1, R1} = t_from_form(Cont, TypeNames, RecDict, VarDict),
+ {T2, R2} = t_from_form(Term, TypeNames, RecDict, VarDict),
{t_cons(T1, T2), R1 ++ R2};
-t_from_form({type, _L, nonempty_string, []}, _TypeNames, _InOpaque, _RecDict,
+t_from_form({type, _L, nonempty_string, []}, _TypeNames, _RecDict,
_VarDict) ->
{t_nonempty_string(), []};
-t_from_form({type, _L, number, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, number, []}, _TypeNames, _RecDict, _VarDict) ->
{t_number(), []};
-t_from_form({type, _L, pid, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, pid, []}, _TypeNames, _RecDict, _VarDict) ->
{t_pid(), []};
-t_from_form({type, _L, port, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, port, []}, _TypeNames, _RecDict, _VarDict) ->
{t_port(), []};
-t_from_form({type, _L, pos_integer, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, pos_integer, []}, _TypeNames, _RecDict, _VarDict) ->
{t_pos_integer(), []};
-t_from_form({type, _L, maybe_improper_list, []}, _TypeNames, _InOpaque,
+t_from_form({type, _L, maybe_improper_list, []}, _TypeNames,
_RecDict, _VarDict) ->
{t_maybe_improper_list(), []};
t_from_form({type, _L, maybe_improper_list, [Content, Termination]},
- TypeNames, InOpaque, RecDict, VarDict) ->
- {T1, R1} = t_from_form(Content, TypeNames, InOpaque, RecDict, VarDict),
- {T2, R2} = t_from_form(Termination, TypeNames, InOpaque, RecDict, VarDict),
+ TypeNames, RecDict, VarDict) ->
+ {T1, R1} = t_from_form(Content, TypeNames, RecDict, VarDict),
+ {T2, R2} = t_from_form(Termination, TypeNames, RecDict, VarDict),
{t_maybe_improper_list(T1, T2), R1 ++ R2};
-t_from_form({type, _L, product, Elements}, TypeNames, InOpaque, RecDict,
- VarDict) ->
- {L, R} = list_from_form(Elements, TypeNames, InOpaque, RecDict, VarDict),
+t_from_form({type, _L, product, Elements}, TypeNames, RecDict, VarDict) ->
+ {L, R} = list_from_form(Elements, TypeNames, RecDict, VarDict),
{t_product(L), R};
-t_from_form({type, _L, queue, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_queue(), []};
+t_from_form({type, _L, queue, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(queue, t_queue(), TypeNames, RecDict, VarDict);
t_from_form({type, _L, range, [From, To]} = Type,
- _TypeNames, _InOpaque, _RecDict, _VarDict) ->
+ _TypeNames, _RecDict, _VarDict) ->
case {erl_eval:partial_eval(From), erl_eval:partial_eval(To)} of
{{integer, _, FromVal}, {integer, _, ToVal}} ->
{t_from_range(FromVal, ToVal), []};
_ -> throw({error, io_lib:format("Unable to evaluate type ~w\n", [Type])})
end;
-t_from_form({type, _L, record, [Name|Fields]}, TypeNames, InOpaque, RecDict,
- VarDict) ->
- record_from_form(Name, Fields, TypeNames, InOpaque, RecDict, VarDict);
-t_from_form({type, _L, reference, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, record, [Name|Fields]}, TypeNames, RecDict, VarDict) ->
+ record_from_form(Name, Fields, TypeNames, RecDict, VarDict);
+t_from_form({type, _L, reference, []}, _TypeNames, _RecDict, _VarDict) ->
{t_reference(), []};
-t_from_form({type, _L, set, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_set(), []};
-t_from_form({type, _L, string, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, set, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(set, t_set(), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, string, []}, _TypeNames, _RecDict, _VarDict) ->
{t_string(), []};
-t_from_form({type, _L, term, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, term, []}, _TypeNames, _RecDict, _VarDict) ->
{t_any(), []};
-t_from_form({type, _L, tid, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
- {t_tid(), []};
-t_from_form({type, _L, timeout, []}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, tid, []}, TypeNames, RecDict, VarDict) ->
+ builtin_type(tid, t_tid(), TypeNames, RecDict, VarDict);
+t_from_form({type, _L, timeout, []}, _TypeNames, _RecDict, _VarDict) ->
{t_timeout(), []};
-t_from_form({type, _L, tuple, any}, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+t_from_form({type, _L, tuple, any}, _TypeNames, _RecDict, _VarDict) ->
{t_tuple(), []};
-t_from_form({type, _L, tuple, Args}, TypeNames, InOpaque, RecDict, VarDict) ->
- {L, R} = list_from_form(Args, TypeNames, InOpaque, RecDict, VarDict),
+t_from_form({type, _L, tuple, Args}, TypeNames, RecDict, VarDict) ->
+ {L, R} = list_from_form(Args, TypeNames, RecDict, VarDict),
{t_tuple(L), R};
-t_from_form({type, _L, union, Args}, TypeNames, InOpaque, RecDict, VarDict) ->
- {L, R} = list_from_form(Args, TypeNames, InOpaque, RecDict, VarDict),
+t_from_form({type, _L, union, Args}, TypeNames, RecDict, VarDict) ->
+ {L, R} = list_from_form(Args, TypeNames, RecDict, VarDict),
{t_sup(L), R};
-t_from_form({type, _L, Name, Args}, TypeNames, InOpaque, RecDict, VarDict) ->
+t_from_form({type, _L, Name, Args}, TypeNames, RecDict, VarDict) ->
+ type_from_form(Name, Args, TypeNames, RecDict, VarDict);
+t_from_form({opaque, _L, Name, {Mod, Args, Rep}}, _TypeNames,
+ _RecDict, _VarDict) ->
+ {t_opaque(Mod, Name, Args, Rep), []}.
+
+builtin_type(Name, Type, TypeNames, RecDict, VarDict) ->
+ case lookup_type(Name, 0, RecDict) of
+ {_, {_M, _T, _A}} ->
+ type_from_form(Name, [], TypeNames, RecDict, VarDict);
+ error ->
+ {Type, []}
+ end.
+
+type_from_form(Name, Args, TypeNames, RecDict, VarDict) ->
ArgsLen = length(Args),
+ ArgTypes = forms_to_types(Args, TypeNames, RecDict, VarDict),
case lookup_type(Name, ArgsLen, RecDict) of
{type, {_Module, Type, ArgNames}} ->
- case can_unfold_more({type, Name}, TypeNames) of
+ TypeName = {type, Name, ArgsLen},
+ case can_unfold_more(TypeName, TypeNames) of
true ->
- List = lists:zipwith(
- fun(ArgName, ArgType) ->
- {Ttemp, _R} = t_from_form(ArgType, TypeNames,
- InOpaque, RecDict,
- VarDict),
- {ArgName, Ttemp}
- end,
- ArgNames, Args),
+ List = lists:zip(ArgNames, ArgTypes),
TmpVarDict = dict:from_list(List),
- {T, R} = t_from_form(Type, [{type, Name}|TypeNames], InOpaque,
+ {T, R} = t_from_form(Type, [TypeName|TypeNames],
RecDict, TmpVarDict),
- case lists:member({type, Name}, R) of
+ case lists:member(TypeName, R) of
true -> {t_limit(T, ?REC_TYPE_LIMIT), R};
false -> {T, R}
end;
- false -> {t_any(), [{type, Name}]}
+ false -> {t_any(), [TypeName]}
end;
{opaque, {Module, Type, ArgNames}} ->
+ TypeName = {opaque, Name, ArgsLen},
{Rep, Rret} =
- case can_unfold_more({opaque, Name}, TypeNames) of
+ case can_unfold_more(TypeName, TypeNames) of
true ->
- List = lists:zipwith(
- fun(ArgName, ArgType) ->
- {Ttemp, _R} = t_from_form(ArgType, TypeNames,
- InOpaque, RecDict,
- VarDict),
- {ArgName, Ttemp}
- end,
- ArgNames, Args),
+ List = lists:zip(ArgNames, ArgTypes),
TmpVarDict = dict:from_list(List),
- {T, R} = t_from_form(Type, [{opaque, Name}|TypeNames], true,
+ {T, R} = t_from_form(Type, [TypeName|TypeNames],
RecDict, TmpVarDict),
- case lists:member({opaque, Name}, R) of
+ case lists:member(TypeName, R) of
true -> {t_limit(T, ?REC_TYPE_LIMIT), R};
false -> {T, R}
end;
- false -> {t_any(), [{opaque, Name}]}
+ false -> {t_any(), [TypeName]}
end,
- Tret =
- case InOpaque of
- true -> Rep;
- false ->
- t_from_form({opaque, -1, Name, {Module, Args, Rep}},
- RecDict, VarDict)
- end,
- {Tret, Rret};
+ Args2 = [subst_all_vars_to_any(ArgType) || ArgType <- ArgTypes],
+ {skip_opaque_alias(Rep, Module, Name, Args2), Rret};
error ->
Msg = io_lib:format("Unable to find type ~w/~w\n", [Name, ArgsLen]),
throw({error, Msg})
- end;
-t_from_form({opaque, _L, Name, {Mod, Args, Rep}}, _TypeNames, _InOpaque,
- _RecDict, _VarDict) ->
- case Args of
- [] -> {t_opaque(Mod, Name, Args, Rep), []};
- _ -> throw({error, "Polymorphic opaque types not supported yet"})
end.
-record_from_form({atom, _, Name}, ModFields, TypeNames, InOpaque, RecDict,
- VarDict) ->
+forms_to_types(Forms, TypeNames, RecDict, VarDict) ->
+ {Types, _} = list_from_form(Forms, TypeNames, RecDict, VarDict),
+ Types.
+
+skip_opaque_alias(?opaque(_) = T, _Mod, _Name, _Args) -> T;
+skip_opaque_alias(T, Module, Name, Args) ->
+ t_opaque(Module, Name, Args, T).
+
+record_from_form({atom, _, Name}, ModFields, TypeNames, RecDict, VarDict) ->
case can_unfold_more({record, Name}, TypeNames) of
true ->
case lookup_record(Name, RecDict) of
@@ -3751,11 +4436,11 @@ record_from_form({atom, _, Name}, ModFields, TypeNames, InOpaque, RecDict,
{DeclFields1, R1} =
case lists:all(fun(Elem) -> Elem end, AreTyped) of
true -> {DeclFields, []};
- false -> fields_from_form(DeclFields, TypeNames1, InOpaque,
+ false -> fields_from_form(DeclFields, TypeNames1,
RecDict, dict:new())
end,
{GetModRec, R2} = get_mod_record(ModFields, DeclFields1,
- TypeNames1, InOpaque,
+ TypeNames1,
RecDict, VarDict),
case GetModRec of
{error, FieldName} ->
@@ -3772,13 +4457,11 @@ record_from_form({atom, _, Name}, ModFields, TypeNames, InOpaque, RecDict,
false -> {t_any(), []}
end.
-get_mod_record([], DeclFields, _TypeNames, _InOpaque, _RecDict,
- _VarDict) ->
+get_mod_record([], DeclFields, _TypeNames, _RecDict, _VarDict) ->
{{ok, DeclFields}, []};
-get_mod_record(ModFields, DeclFields, TypeNames, InOpaque, RecDict,
- VarDict) ->
+get_mod_record(ModFields, DeclFields, TypeNames, RecDict, VarDict) ->
DeclFieldsDict = orddict:from_list(DeclFields),
- {ModFieldsDict, R} = build_field_dict(ModFields, TypeNames, InOpaque,
+ {ModFieldsDict, R} = build_field_dict(ModFields, TypeNames,
RecDict, VarDict),
case get_mod_record(DeclFieldsDict, ModFieldsDict, []) of
{error, _FieldName} = Error -> {Error, R};
@@ -3788,23 +4471,26 @@ get_mod_record(ModFields, DeclFields, TypeNames, InOpaque, RecDict,
R}
end.
-build_field_dict(FieldTypes, TypeNames, InOpaque, RecDict, VarDict) ->
- build_field_dict(FieldTypes, TypeNames, InOpaque, RecDict, VarDict, []).
+build_field_dict(FieldTypes, TypeNames, RecDict, VarDict) ->
+ build_field_dict(FieldTypes, TypeNames, RecDict, VarDict, []).
build_field_dict([{type, _, field_type, [{atom, _, Name}, Type]}|Left],
- TypeNames, InOpaque, RecDict, VarDict, Acc) ->
- {T, R1} = t_from_form(Type, TypeNames, InOpaque, RecDict, VarDict),
+ TypeNames, RecDict, VarDict, Acc) ->
+ {T, R1} = t_from_form(Type, TypeNames, RecDict, VarDict),
NewAcc = [{Name, T}|Acc],
- {D, R2} = build_field_dict(Left, TypeNames, InOpaque, RecDict, VarDict,
- NewAcc),
+ {D, R2} = build_field_dict(Left, TypeNames, RecDict, VarDict, NewAcc),
{D, R1 ++ R2};
-build_field_dict([], _TypeNames, _InOpaque, _RecDict, _VarDict, Acc) ->
+build_field_dict([], _TypeNames, _RecDict, _VarDict, Acc) ->
{orddict:from_list(Acc), []}.
get_mod_record([{FieldName, DeclType}|Left1],
[{FieldName, ModType}|Left2], Acc) ->
- case t_is_var(ModType) orelse t_is_remote(ModType) orelse
- t_is_subtype(ModType, DeclType) of
+ ModTypeNoVars = subst_all_vars_to_any(ModType),
+ case
+ contains_remote(ModTypeNoVars)
+ orelse contains_remote(DeclType)
+ orelse t_is_subtype(ModTypeNoVars, DeclType)
+ of
false -> {error, FieldName};
true -> get_mod_record(Left1, Left2, [{FieldName, ModType}|Acc])
end;
@@ -3817,19 +4503,23 @@ get_mod_record(DeclFields, [], Acc) ->
get_mod_record(_, [{FieldName2, _ModType}|_], _Acc) ->
{error, FieldName2}.
-fields_from_form([], _TypeNames, _InOpaque, _RecDict, _VarDict) ->
+contains_remote(Type) ->
+ TypeNoRemote = subst_all_remote(Type, t_none()),
+ not t_is_equal(Type, TypeNoRemote).
+
+fields_from_form([], _TypeNames, _RecDict, _VarDict) ->
{[], []};
-fields_from_form([{Name, Type}|Tail], TypeNames, InOpaque, RecDict,
+fields_from_form([{Name, Type}|Tail], TypeNames, RecDict,
VarDict) ->
- {T, R1} = t_from_form(Type, TypeNames, InOpaque, RecDict, VarDict),
- {F, R2} = fields_from_form(Tail, TypeNames, InOpaque, RecDict, VarDict),
+ {T, R1} = t_from_form(Type, TypeNames, RecDict, VarDict),
+ {F, R2} = fields_from_form(Tail, TypeNames, RecDict, VarDict),
{[{Name, T}|F], R1 ++ R2}.
-list_from_form([], _TypeNames, _InOpaque, _RecDict, _VarDict) ->
+list_from_form([], _TypeNames, _RecDict, _VarDict) ->
{[], []};
-list_from_form([H|Tail], TypeNames, InOpaque, RecDict, VarDict) ->
- {T, R1} = t_from_form(H, TypeNames, InOpaque, RecDict, VarDict),
- {L, R2} = list_from_form(Tail, TypeNames, InOpaque, RecDict, VarDict),
+list_from_form([H|Tail], TypeNames, RecDict, VarDict) ->
+ {T, R1} = t_from_form(H, TypeNames, RecDict, VarDict),
+ {L, R2} = list_from_form(Tail, TypeNames, RecDict, VarDict),
{[T|L], R1 ++ R2}.
-spec t_form_to_string(parse_form()) -> string().
@@ -3852,10 +4542,10 @@ t_form_to_string({op, _L, _Op, _Arg1, _Arg2} = Op) ->
t_form_to_string({ann_type, _L, [Var, Type]}) ->
t_form_to_string(Var) ++ "::" ++ t_form_to_string(Type);
t_form_to_string({paren_type, _L, [Type]}) ->
- io_lib:format("(~s)", [t_form_to_string(Type)]);
+ flat_format("(~s)", [t_form_to_string(Type)]);
t_form_to_string({remote_type, _L, [{atom, _, Mod}, {atom, _, Name}, Args]}) ->
ArgString = "(" ++ string:join(t_form_to_string_list(Args), ",") ++ ")",
- io_lib:format("~w:~w", [Mod, Name]) ++ ArgString;
+ flat_format("~w:~w", [Mod, Name]) ++ ArgString;
t_form_to_string({type, _L, arity, []}) -> "arity()";
t_form_to_string({type, _L, binary, []}) -> "binary()";
t_form_to_string({type, _L, binary, [Base, Unit]} = Type) ->
@@ -3866,9 +4556,9 @@ t_form_to_string({type, _L, binary, [Base, Unit]} = Type) ->
{0, 0} -> "<<>>";
{8, 0} -> "binary()";
{1, 0} -> "bitstring()";
- {0, B} -> lists:flatten(io_lib:format("<<_:~w>>", [B]));
- {U, 0} -> lists:flatten(io_lib:format("<<_:_*~w>>", [U]));
- {U, B} -> lists:flatten(io_lib:format("<<_:~w,_:_*~w>>", [B, U]))
+ {0, B} -> flat_format("<<_:~w>>", [B]);
+ {U, 0} -> flat_format("<<_:_*~w>>", [U]);
+ {U, B} -> flat_format("<<_:~w,_:_*~w>>", [B, U])
end;
_ -> io_lib:format("Badly formed bitstr type ~w", [Type])
end;
@@ -3883,6 +4573,8 @@ t_form_to_string({type, _L, iodata, []}) -> "iodata()";
t_form_to_string({type, _L, iolist, []}) -> "iolist()";
t_form_to_string({type, _L, list, [Type]}) ->
"[" ++ t_form_to_string(Type) ++ "]";
+t_form_to_string({type, _L, map, _}) ->
+ "#{}";
t_form_to_string({type, _L, mfa, []}) -> "mfa()";
t_form_to_string({type, _L, module, []}) -> "module()";
t_form_to_string({type, _L, node, []}) -> "node()";
@@ -3894,16 +4586,16 @@ t_form_to_string({type, _L, product, Elements}) ->
t_form_to_string({type, _L, range, [From, To]} = Type) ->
case {erl_eval:partial_eval(From), erl_eval:partial_eval(To)} of
{{integer, _, FromVal}, {integer, _, ToVal}} ->
- io_lib:format("~w..~w", [FromVal, ToVal]);
- _ -> io_lib:format("Badly formed type ~w",[Type])
+ flat_format("~w..~w", [FromVal, ToVal]);
+ _ -> flat_format("Badly formed type ~w",[Type])
end;
t_form_to_string({type, _L, record, [{atom, _, Name}]}) ->
- io_lib:format("#~w{}", [Name]);
+ flat_format("#~w{}", [Name]);
t_form_to_string({type, _L, record, [{atom, _, Name}|Fields]}) ->
FieldString = string:join(t_form_to_string_list(Fields), ","),
- io_lib:format("#~w{~s}", [Name, FieldString]);
+ flat_format("#~w{~s}", [Name, FieldString]);
t_form_to_string({type, _L, field_type, [{atom, _, Name}, Type]}) ->
- io_lib:format("~w::~s", [Name, t_form_to_string(Type)]);
+ flat_format("~w::~s", [Name, t_form_to_string(Type)]);
t_form_to_string({type, _L, term, []}) -> "term()";
t_form_to_string({type, _L, timeout, []}) -> "timeout()";
t_form_to_string({type, _L, tuple, any}) -> "tuple()";
@@ -3916,8 +4608,8 @@ t_form_to_string({type, _L, Name, []} = T) ->
catch throw:{error, _} -> atom_to_string(Name) ++ "()"
end;
t_form_to_string({type, _L, Name, List}) ->
- io_lib:format("~w(~s)",
- [Name, string:join(t_form_to_string_list(List), ",")]).
+ flat_format("~w(~s)",
+ [Name, string:join(t_form_to_string_list(List), ",")]).
t_form_to_string_list(List) ->
t_form_to_string_list(List, []).
@@ -3930,7 +4622,7 @@ t_form_to_string_list([], Acc) ->
-spec atom_to_string(atom()) -> string().
atom_to_string(Atom) ->
- lists:flatten(io_lib:format("~w", [Atom])).
+ flat_format("~w", [Atom]).
%%=============================================================================
%%
@@ -3959,7 +4651,7 @@ is_erl_type(?unit) -> true;
is_erl_type(#c{}) -> true;
is_erl_type(_) -> false.
--spec lookup_record(atom(), dict()) ->
+-spec lookup_record(atom(), type_table()) ->
'error' | {'ok', [{atom(), parse_form() | erl_type()}]}.
lookup_record(Tag, RecDict) when is_atom(Tag) ->
@@ -3974,7 +4666,8 @@ lookup_record(Tag, RecDict) when is_atom(Tag) ->
error
end.
--spec lookup_record(atom(), arity(), dict()) -> 'error' | {'ok', [{atom(), erl_type()}]}.
+-spec lookup_record(atom(), arity(), type_table()) ->
+ 'error' | {'ok', [{atom(), erl_type()}]}.
lookup_record(Tag, Arity, RecDict) when is_atom(Tag) ->
case dict:find({record, Tag}, RecDict) of
@@ -3993,7 +4686,8 @@ lookup_type(Name, Arity, RecDict) ->
{ok, Found} -> {type, Found}
end.
--spec type_is_defined('type' | 'opaque', atom(), arity(), dict()) -> boolean().
+-spec type_is_defined('type' | 'opaque', atom(), arity(), type_table()) ->
+ boolean().
type_is_defined(TypeOrOpaque, Name, Arity, RecDict) ->
dict:is_key({TypeOrOpaque, Name, Arity}, RecDict).
@@ -4002,6 +4696,59 @@ can_unfold_more(TypeName, TypeNames) ->
Fun = fun(E, Acc) -> case E of TypeName -> Acc + 1; _ -> Acc end end,
lists:foldl(Fun, 0, TypeNames) < ?REC_TYPE_LIMIT.
+-spec do_opaque(erl_type(), opaques(), fun((_) -> T)) -> T.
+
+%% Probably a little faster than calling t_unopaque/2.
+%% Unions that are due to opaque types are unopaqued.
+do_opaque(?opaque(_) = Type, Opaques, Pred) ->
+ case Opaques =:= 'universe' orelse is_opaque_type(Type, Opaques) of
+ true -> do_opaque(t_opaque_structure(Type), Opaques, Pred);
+ false -> Pred(Type)
+ end;
+do_opaque(?union(List) = Type, Opaques, Pred) ->
+ [A,B,F,I,L,N,T,M,O,R,Map] = List,
+ if O =:= ?none -> Pred(Type);
+ true ->
+ case Opaques =:= 'universe' orelse is_opaque_type(O, Opaques) of
+ true ->
+ S = t_opaque_structure(O),
+ do_opaque(t_sup([A,B,F,I,L,N,T,M,S,R,Map]), Opaques, Pred);
+ false -> Pred(Type)
+ end
+ end;
+do_opaque(Type, _Opaques, Pred) ->
+ Pred(Type).
+
+is_same_type_name(ModNameArgs, ModNameArgs) -> true;
+is_same_type_name({Mod, Name, Args1}, {Mod, Name, Args2}) ->
+ all_any(Args1) orelse all_any(Args2);
+is_same_type_name({Mod1, Name1, Args1}, {Mod2, Name2, Args2}) ->
+ is_same_type_name2(Mod1, Name1, Args1, Mod2, Name2, Args2).
+
+all_any([]) -> true;
+all_any([T|L]) ->
+ t_is_any(T) andalso all_any(L);
+all_any(_) -> false.
+
+%% Compatibility. In Erlang/OTP 17 the pre-defined opaque types
+%% digraph() and so on can be used, but there are also new types such
+%% as digraph:graph() with the exact same meaning. In Erlang/OTP R18.0
+%% all but the last clause can be removed.
+
+is_same_type_name2(digraph, digraph, [], digraph, graph, []) -> true;
+is_same_type_name2(digraph, graph, [], digraph, digraph, []) -> true;
+is_same_type_name2(gb_sets, gb_set, [], gb_sets, set, [_]) -> true;
+is_same_type_name2(gb_sets, set, [_], gb_sets, gb_set, []) -> true;
+is_same_type_name2(gb_trees, gb_tree, [], gb_trees, tree, [_, _]) -> true;
+is_same_type_name2(gb_trees, tree, [_, _], gb_trees, gb_tree, []) -> true;
+is_same_type_name2(_, _, _, _, _, _) -> false.
+
+map_keys(?map(Pairs)) ->
+ [K || {K, _} <- Pairs].
+
+map_values(?map(Pairs)) ->
+ [V || {_, V} <- Pairs].
+
%% -----------------------------------
%% Set
%%
@@ -4068,7 +4815,7 @@ set_size(Set) ->
set_to_string(Set) ->
L = [case is_atom(X) of
true -> io_lib:write_string(atom_to_list(X), $'); % stupid emacs '
- false -> io_lib:format("~w", [X])
+ false -> flat_format("~w", [X])
end || X <- set_to_list(Set)],
string:join(L, " | ").
@@ -4077,6 +4824,9 @@ set_min([H|_]) -> H.
set_max(Set) ->
hd(lists:reverse(Set)).
+flat_format(F, S) ->
+ lists:flatten(io_lib:format(F, S)).
+
%%=============================================================================
%%
%% Utilities for the binary type
@@ -4131,6 +4881,11 @@ handle_base(Unit, Pos) when Pos >= 0 ->
handle_base(Unit, Neg) ->
(Unit+(Neg rem Unit)) rem Unit.
+family(L) ->
+ R = sofs:relation(L),
+ F = sofs:relation_to_family(R),
+ sofs:to_external(F).
+
%%=============================================================================
%% Consistency-testing function(s) below
%%=============================================================================
generated by cgit v1.2.3 (git 2.25.1) at 2024-12-19 22:12:26 +0000