%% -*- erlang-indent-level: 2 -*-
%%
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 2003-2010. All Rights Reserved.
%%
%% The contents of this file are subject to the Erlang Public License,
%% Version 1.1, (the "License"); you may not use this file except in
%% compliance with the License. You should have received a copy of the
%% Erlang Public License along with this software. If not, it can be
%% retrieved online at http://www.erlang.org/.
%%
%% Software distributed under the License is distributed on an "AS IS"
%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
%% the License for the specific language governing rights and limitations
%% under the License.
%%
%% %CopyrightEnd%
%%
%% =====================================================================
%% Type information for Erlang Built-in functions (implemented in C)
%%
%% Copyright (C) 2002 Richard Carlsson
%% Copyright (C) 2006 Richard Carlsson, Tobias Lindahl and Kostis Sagonas
%%
%% Author contact: [email protected], [email protected], [email protected]
%% =====================================================================
-module(erl_bif_types).
%-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, arg_types/3,
is_known/3, structure_inspecting_args/3, infinity_add/2]).
-import(erl_types, [number_max/1,
number_min/1,
t_any/0,
t_arity/0,
t_atom/0,
t_atom/1,
t_atoms/1,
t_atom_vals/1,
t_binary/0,
t_bitstr/0,
t_boolean/0,
t_byte/0,
t_char/0,
t_cons/0,
t_cons/2,
t_cons_hd/1,
t_cons_tl/1,
t_constant/0,
t_fixnum/0,
t_non_neg_fixnum/0,
t_pos_fixnum/0,
t_float/0,
t_from_range/2,
t_from_term/1,
t_fun/0,
t_fun/2,
t_fun_args/1,
t_fun_range/1,
t_identifier/0,
t_inf/2,
t_integer/0,
t_integer/1,
t_non_neg_fixnum/0,
t_non_neg_integer/0,
t_pos_integer/0,
t_integers/1,
t_iodata/0,
t_iolist/0,
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_constant/1,
t_is_float/1,
t_is_float/1,
t_is_fun/1,
t_is_integer/1,
t_is_integer/1,
t_is_list/1,
t_is_nil/1,
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_string/1,
t_is_subtype/2,
t_is_tuple/1,
t_list/0,
t_list/1,
t_list_elements/1,
t_list_termination/1,
t_mfa/0,
t_module/0,
t_nil/0,
t_node/0,
t_none/0,
t_nonempty_list/0,
t_nonempty_list/1,
t_number/0,
t_number_vals/1,
t_pid/0,
t_port/0,
t_maybe_improper_list/0,
t_reference/0,
t_string/0,
t_subtract/2,
t_sup/1,
t_sup/2,
t_tid/0,
t_timeout/0,
t_tuple/0,
t_tuple/1,
t_tuple_args/1,
t_tuple_size/1,
t_tuple_subtypes/1
]).
-ifdef(DO_ERL_BIF_TYPES_TEST).
-export([test/0]).
-endif.
%%=============================================================================
-spec type(atom(), atom(), arity()) -> erl_types:erl_type().
type(M, F, 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().
%%-- binary -------------------------------------------------------------------
type(binary, at, 2, Xs) ->
strict(arg_types(binary, at, 2), Xs, fun(_) -> t_integer() end);
type(binary, bin_to_list, Arity, Xs) when 1 =< Arity, Arity =< 3 ->
strict(arg_types(binary, bin_to_list, Arity), Xs,
fun(_) -> t_list(t_integer()) end);
type(binary, compile_pattern, 1, Xs) ->
strict(arg_types(binary, compile_pattern, 1), Xs,
fun(_) -> t_tuple([t_atom(bm),t_binary()]) end);
type(binary, copy, Arity, Xs) when Arity =:= 1; Arity =:= 2 ->
strict(arg_types(binary, copy, Arity), Xs,
fun(_) -> t_binary() end);
type(binary, decode_unsigned, Arity, Xs) when Arity =:= 1; Arity =:= 2 ->
strict(arg_types(binary, decode_unsigned, Arity), Xs,
fun(_) -> t_non_neg_integer() end);
type(binary, encode_unsigned, Arity, Xs) when Arity =:= 1; Arity =:= 2 ->
strict(arg_types(binary, encode_unsigned, Arity), Xs,
fun(_) -> t_binary() end);
type(binary, first, 1, Xs) ->
strict(arg_types(binary, first, 1), Xs, fun(_) -> t_non_neg_integer() end);
type(binary, last, 1, Xs) ->
strict(arg_types(binary, last, 1), Xs, fun(_) -> t_non_neg_integer() end);
type(binary, list_to_bin, 1, Xs) ->
type(erlang, list_to_binary, 1, Xs);
type(binary, longest_common_prefix, 1, Xs) ->
strict(arg_types(binary, longest_common_prefix, 1), Xs,
fun(_) -> t_integer() end);
type(binary, longest_common_suffix, 1, Xs) ->
strict(arg_types(binary, longest_common_suffix, 1), Xs,
fun(_) -> t_integer() end);
type(binary, match, Arity, Xs) when Arity =:= 2; Arity =:= 3 ->
strict(arg_types(binary, match, Arity), Xs,
fun(_) ->
t_sup(t_atom('nomatch'), t_binary_canonical_part())
end);
type(binary, matches, Arity, Xs) when Arity =:= 2; Arity =:= 3 ->
strict(arg_types(binary, matches, Arity), Xs,
fun(_) -> t_list(t_binary_canonical_part()) end);
type(binary, part, 2, Xs) ->
type(erlang, binary_part, 2, Xs);
type(binary, part, 3, Xs) ->
type(erlang, binary_part, 3, Xs);
type(binary, referenced_byte_size, 1, Xs) ->
strict(arg_types(binary, referenced_byte_size, 1), Xs,
fun(_) -> t_non_neg_integer() end);
%%-- code ---------------------------------------------------------------------
type(code, add_path, 1, Xs) ->
strict(arg_types(code, add_path, 1), Xs,
fun (_) ->
t_sup(t_boolean(),
t_tuple([t_atom('error'), t_atom('bad_directory')]))
end);
type(code, add_patha, 1, Xs) ->
type(code, add_path, 1, Xs);
type(code, add_paths, 1, Xs) ->
strict(arg_types(code, add_paths, 1), Xs, fun(_) -> t_atom('ok') end);
type(code, add_pathsa, 1, Xs) ->
type(code, add_paths, 1, Xs);
type(code, add_pathsz, 1, Xs) ->
type(code, add_paths, 1, Xs);
type(code, add_pathz, 1, Xs) ->
type(code, add_path, 1, Xs);
type(code, all_loaded, 0, _) ->
t_list(t_tuple([t_atom(), t_code_loaded_fname_or_status()]));
type(code, compiler_dir, 0, _) ->
t_string();
type(code, del_path, 1, Xs) ->
strict(arg_types(code, del_path, 1), Xs,
fun (_) ->
t_sup(t_boolean(),
t_tuple([t_atom('error'), t_atom('bad_name')]))
end);
type(code, delete, 1, Xs) ->
strict(arg_types(code, delete, 1), Xs, fun (_) -> t_boolean() end);
type(code, ensure_loaded, 1, Xs) ->
type(code, load_file, 1, Xs);
type(code, get_chunk, 2, Xs) ->
strict(arg_types(code, get_chunk, 2), Xs,
fun (_) -> t_sup(t_binary(), t_atom('undefined')) end);
type(code, get_object_code, 1, Xs) ->
strict(arg_types(code, get_object_code, 1), Xs,
fun (_) ->
t_sup(t_tuple([t_atom(), t_binary(), t_string()]),
t_atom('error'))
end);
type(code, get_path, 0, _) ->
t_list(t_string());
type(code, is_loaded, 1, Xs) ->
strict(arg_types(code, is_loaded, 1), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('file'), t_code_loaded_fname_or_status()]),
t_atom('false')])
end);
type(code, is_sticky, 1, Xs) ->
strict(arg_types(code, is_sticky, 1), Xs, fun (_) -> t_boolean() end);
type(code, is_module_native, 1, Xs) ->
strict(arg_types(code, is_module_native, 1), Xs,
fun (_) -> t_sup(t_boolean(), t_atom('undefined')) end);
type(code, lib_dir, 0, _) ->
t_string();
type(code, lib_dir, 1, Xs) ->
strict(arg_types(code, lib_dir, 1), Xs,
fun (_) ->
t_sup(t_string(),
t_tuple([t_atom('error'), t_atom('bad_name')]))
end);
type(code, load_abs, 1, Xs) ->
strict(arg_types(code, load_abs, 1), Xs,
fun ([_File]) -> t_code_load_return(t_atom()) end); % XXX: cheating
type(code, load_abs, 2, Xs) ->
strict(arg_types(code, load_abs, 2), Xs,
fun ([_File,Mod]) -> t_code_load_return(Mod) end);
type(code, load_binary, 3, Xs) ->
strict(arg_types(code, load_binary, 3), Xs,
fun ([Mod,_File,_Bin]) -> t_code_load_return(Mod) end);
type(code, load_file, 1, Xs) ->
strict(arg_types(code, load_file, 1), Xs,
fun ([Mod]) -> t_code_load_return(Mod) end);
type(code, load_native_partial, 2, Xs) ->
strict(arg_types(code, load_native_partial, 2), Xs,
fun ([Mod,_Bin]) -> t_code_load_return(Mod) end);
type(code, load_native_sticky, 3, Xs) ->
strict(arg_types(code, load_native_sticky, 3), Xs,
fun ([Mod,_Bin,_]) -> t_code_load_return(Mod) end);
type(code, module_md5, 1, Xs) ->
strict(arg_types(code, module_md5, 1), Xs,
fun (_) -> t_sup(t_binary(), t_atom('undefined')) end);
type(code, make_stub_module, 3, Xs) ->
strict(arg_types(code, make_stub_module, 3), Xs, fun ([Mod,_,_]) -> Mod end);
type(code, priv_dir, 1, Xs) ->
strict(arg_types(code, priv_dir, 1), Xs,
fun (_) ->
t_sup(t_string(), t_tuple([t_atom('error'), t_atom('bad_name')]))
end);
type(code, purge, 1, Xs) ->
type(code, delete, 1, Xs);
type(code, rehash, 0, _) -> t_atom('ok');
type(code, replace_path, 2, Xs) ->
strict(arg_types(code, replace_path, 2), Xs,
fun (_) ->
t_sup([t_atom('true'),
t_tuple([t_atom('error'), t_atom('bad_name')]),
t_tuple([t_atom('error'), t_atom('bad_directory')]),
t_tuple([t_atom('error'),
t_tuple([t_atom('badarg'), t_any()])])])
end);
type(code, root_dir, 0, _) ->
t_string();
type(code, set_path, 1, Xs) ->
strict(arg_types(code, set_path, 1), Xs,
fun (_) ->
t_sup([t_atom('true'),
t_tuple([t_atom('error'), t_atom('bad_path')]),
t_tuple([t_atom('error'), t_atom('bad_directory')])])
end);
type(code, soft_purge, 1, Xs) ->
type(code, delete, 1, Xs);
type(code, stick_mod, 1, Xs) ->
strict(arg_types(code, stick_mod, 1), Xs, fun (_) -> t_atom('true') end);
type(code, unstick_mod, 1, Xs) ->
type(code, stick_mod, 1, Xs);
type(code, which, 1, Xs) ->
strict(arg_types(code, which, 1), Xs,
fun (_) ->
t_sup([t_code_loaded_fname_or_status(),
t_atom('non_existing')])
end);
%%-- erl_ddll -----------------------------------------------------------------
type(erl_ddll, demonitor, 1, Xs) ->
type(erlang, demonitor, 1, Xs);
type(erl_ddll, format_error_int, 1, Xs) ->
strict(arg_types(erl_ddll, format_error_int, 1), Xs,
fun (_) -> t_string() end);
type(erl_ddll, info, 2, Xs) ->
strict(arg_types(erl_ddll, info, 2), Xs, fun (_) -> t_atom() end);
type(erl_ddll, loaded_drivers, 0, _) ->
t_tuple([t_atom('ok'), t_list(t_string())]);
type(erl_ddll, monitor, 2, Xs) -> % return type is the same, though args are not
type(erlang, monitor, 2, Xs);
type(erl_ddll, try_load, 3, Xs) ->
strict(arg_types(erl_ddll, try_load, 3), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('ok'), t_atom('already_loaded')]),
t_tuple([t_atom('ok'), t_atom('loaded')]),
t_tuple([t_atom('ok'),
t_atom('pending_driver'), t_reference()]),
t_tuple([t_atom('error'), t_atom('inconsistent')]),
t_tuple([t_atom('error'), t_atom('permanent')])])
end);
type(erl_ddll, try_unload, 2, Xs) ->
strict(arg_types(erl_ddll, try_unload, 2), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('ok'), t_atom('pending_process')]),
t_tuple([t_atom('ok'), t_atom('unloaded')]),
t_tuple([t_atom('ok'), t_atom('pending_driver')]),
t_tuple([t_atom('ok'),
t_atom('pending_driver'), t_reference()]),
t_tuple([t_atom('error'), t_atom('permanent')]),
t_tuple([t_atom('error'), t_atom('not_loaded')]),
t_tuple([t_atom('error'),
t_atom('not_loaded_by_this_process')])])
end);
%%-- erlang -------------------------------------------------------------------
type(erlang, halt, 0, _) -> t_none();
type(erlang, halt, 1, _) -> t_none();
type(erlang, exit, 1, _) -> t_none();
%% Note that exit/2 sends an exit signal to another process.
type(erlang, exit, 2, _) -> t_atom('true');
type(erlang, error, 1, _) -> t_none();
type(erlang, error, 2, _) -> t_none();
type(erlang, throw, 1, _) -> t_none();
type(erlang, hibernate, 3, _) -> t_none();
type(erlang, '==', 2, Xs = [X1, X2]) ->
case t_is_atom(X1) andalso t_is_atom(X2) of
true -> type(erlang, '=:=', 2, Xs);
false ->
case t_is_integer(X1) andalso t_is_integer(X2) of
true -> type(erlang, '=:=', 2, Xs);
false -> strict(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);
false ->
case t_is_integer(X1) andalso t_is_integer(X2) of
true -> type(erlang, '=/=', 2, Xs);
false -> strict(Xs, t_boolean())
end
end;
type(erlang, '=:=', 2, Xs = [Lhs, Rhs]) ->
Ans =
case t_is_none(t_inf(Lhs, Rhs)) of
true -> t_atom('false');
false ->
case t_is_atom(Lhs) andalso t_is_atom(Rhs) of
true ->
case {t_atom_vals(Lhs), t_atom_vals(Rhs)} of
{unknown, _} -> t_boolean();
{_, unknown} -> t_boolean();
{[X], [X]} -> t_atom('true');
{LhsVals, RhsVals} ->
case lists:all(fun({X, Y}) -> X =/= Y end,
[{X, Y} || X <- LhsVals, Y <- RhsVals]) of
true -> t_atom('false');
false -> t_boolean()
end
end;
false ->
case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
false -> t_boolean();
true ->
case {t_number_vals(Lhs), t_number_vals(Rhs)} 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),
Ans1 = (is_integer(LhsMin)
andalso is_integer(RhsMax)
andalso (LhsMin > RhsMax)),
Ans2 = (is_integer(LhsMax)
andalso is_integer(RhsMin)
andalso (RhsMin > LhsMax)),
case Ans1 orelse Ans2 of
true -> t_atom('false');
false -> t_boolean()
end
end
end
end
end,
strict(Xs, Ans);
type(erlang, '=/=', 2, Xs = [Lhs, Rhs]) ->
Ans =
case t_is_none(t_inf(Lhs, Rhs)) of
true -> t_atom('true');
false ->
case t_is_atom(Lhs) andalso t_is_atom(Rhs) of
true ->
case {t_atom_vals(Lhs), t_atom_vals(Rhs)} of
{unknown, _} -> t_boolean();
{_, unknown} -> t_boolean();
{[Val], [Val]} -> t_atom('false');
{LhsVals, RhsVals} ->
t_sup([t_from_term(X =/= Y) || X <- LhsVals, Y <- RhsVals])
end;
false ->
case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
false -> t_boolean();
true ->
LhsMax = number_max(Lhs),
LhsMin = number_min(Lhs),
RhsMax = number_max(Rhs),
RhsMin = number_min(Rhs),
Ans1 = (is_integer(LhsMin) andalso is_integer(RhsMax)
andalso (LhsMin > RhsMax)),
Ans2 = (is_integer(LhsMax) andalso is_integer(RhsMin)
andalso (RhsMin > LhsMax)),
case Ans1 orelse Ans2 of
true -> t_atom('true');
false ->
if LhsMax =:= LhsMin,
RhsMin =:= RhsMax,
RhsMax =:= LhsMax -> t_atom('false');
true -> t_boolean()
end
end
end
end
end,
strict(Xs, Ans);
type(erlang, '>', 2, Xs = [Lhs, Rhs]) ->
Ans =
case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
true ->
LhsMax = number_max(Lhs),
LhsMin = number_min(Lhs),
RhsMax = number_max(Rhs),
RhsMin = number_min(Rhs),
T = t_atom('true'),
F = t_atom('false'),
if
is_integer(LhsMin), is_integer(RhsMax), LhsMin > RhsMax -> T;
is_integer(LhsMax), is_integer(RhsMin), RhsMin >= LhsMax -> F;
true -> t_boolean()
end;
false -> t_boolean()
end,
strict(Xs, Ans);
type(erlang, '>=', 2, Xs = [Lhs, Rhs]) ->
Ans =
case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
true ->
LhsMax = number_max(Lhs),
LhsMin = number_min(Lhs),
RhsMax = number_max(Rhs),
RhsMin = number_min(Rhs),
T = t_atom('true'),
F = t_atom('false'),
if
is_integer(LhsMin), is_integer(RhsMax), LhsMin >= RhsMax -> T;
is_integer(LhsMax), is_integer(RhsMin), RhsMin > LhsMax -> F;
true -> t_boolean()
end;
false -> t_boolean()
end,
strict(Xs, Ans);
type(erlang, '<', 2, Xs = [Lhs, Rhs]) ->
Ans =
case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
true ->
LhsMax = number_max(Lhs),
LhsMin = number_min(Lhs),
RhsMax = number_max(Rhs),
RhsMin = number_min(Rhs),
T = t_atom('true'),
F = t_atom('false'),
if
is_integer(LhsMax), is_integer(RhsMin), LhsMax < RhsMin -> T;
is_integer(LhsMin), is_integer(RhsMax), RhsMax =< LhsMin -> F;
true -> t_boolean()
end;
false -> t_boolean()
end,
strict(Xs, Ans);
type(erlang, '=<', 2, Xs = [Lhs, Rhs]) ->
Ans =
case t_is_integer(Lhs) andalso t_is_integer(Rhs) of
true ->
LhsMax = number_max(Lhs),
LhsMin = number_min(Lhs),
RhsMax = number_max(Rhs),
RhsMin = number_min(Rhs),
T = t_atom('true'),
F = t_atom('false'),
if
is_integer(LhsMax), is_integer(RhsMin), LhsMax =< RhsMin -> T;
is_integer(LhsMin), is_integer(RhsMax), RhsMax < LhsMin -> F;
true -> t_boolean()
end;
false -> t_boolean()
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,
fun ([X]) ->
case t_is_integer(X) 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,
fun ([X1, X2]) ->
case arith('+', X1, X2) of
{ok, T} -> T;
error ->
case t_is_float(X1) orelse t_is_float(X2) of
true -> t_float();
false -> t_number()
end
end
end);
type(erlang, '-', 2, Xs) ->
strict(arg_types(erlang, '-', 2), Xs,
fun ([X1, X2]) ->
case arith('-', X1, X2) of
{ok, T} -> T;
error ->
case t_is_float(X1) orelse t_is_float(X2) of
true -> t_float();
false -> t_number()
end
end
end);
type(erlang, '*', 2, Xs) ->
strict(arg_types(erlang, '*', 2), Xs,
fun ([X1, X2]) ->
case arith('*', X1, X2) of
{ok, T} -> T;
error ->
case t_is_float(X1) orelse t_is_float(X2) 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,
fun ([X1, X2]) ->
case arith('div', X1, X2) of
error -> t_integer();
{ok, T} -> T
end
end);
type(erlang, 'rem', 2, Xs) ->
strict(arg_types(erlang, 'rem', 2), Xs,
fun ([X1, X2]) ->
case arith('rem', X1, X2) of
error -> t_non_neg_integer();
{ok, T} -> T
end
end);
type(erlang, '++', 2, Xs) ->
strict(arg_types(erlang, '++', 2), Xs,
fun ([X1, X2]) ->
case t_is_nil(X1) of
true -> X2; % even if X2 is not a list
false ->
case t_is_nil(X2) of
true -> X1;
false ->
E1 = t_list_elements(X1),
case t_is_cons(X1) of
true -> t_cons(E1, X2);
false ->
t_sup(X2, t_cons(E1, X2))
end
end
end
end);
type(erlang, '--', 2, Xs) ->
%% 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,
fun ([X1, X2]) ->
case t_is_nil(X1) of
true -> t_nil();
false ->
case t_is_nil(X2) of
true -> X1;
false -> t_list(t_list_elements(X1))
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,
fun ([X1, X2]) ->
case arith('band', X1, X2) of
error -> t_integer();
{ok, T} -> T
end
end);
%% 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,
fun ([X1, X2]) ->
case arith('bor', X1, X2) of
error -> t_integer();
{ok, T} -> T
end
end);
%% 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,
fun ([X1, X2]) ->
case arith('bxor', X1, X2) of
error -> t_integer();
{ok, T} -> T
end
end);
%% 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,
fun ([X1, X2]) ->
case arith('bsr', X1, X2) of
error -> t_integer();
{ok, T} -> T
end
end);
%% 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,
fun ([X1, X2]) ->
case arith('bsl', X1, X2) of
error -> t_integer();
{ok, T} -> T
end
end);
%% 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,
fun ([X1]) ->
case arith('bnot', X1) of
error -> t_integer();
{ok, T} -> T
end
end);
%% This returns (-X)-1, so it often gives a negative result.
%% strict(arg_types(erlang, 'bnot', 1), Xs, fun (_) -> t_integer() end);
type(erlang, abs, 1, Xs) ->
strict(arg_types(erlang, abs, 1), Xs, fun ([X]) -> X end);
type(erlang, adler32, 1, Xs) ->
strict(arg_types(erlang, adler32, 1), Xs, fun (_) -> t_adler32() end);
type(erlang, adler32, 2, Xs) ->
strict(arg_types(erlang, adler32, 2), Xs, fun (_) -> t_adler32() end);
type(erlang, adler32_combine, 3, Xs) ->
strict(arg_types(erlang, adler32_combine, 3), Xs,
fun (_) -> t_adler32() end);
type(erlang, append, 2, Xs) -> type(erlang, '++', 2, Xs); % alias
type(erlang, append_element, 2, Xs) ->
strict(arg_types(erlang, append_element, 2), Xs, fun (_) -> t_tuple() end);
type(erlang, apply, 2, Xs) ->
Fun = fun ([X, _Y]) ->
case t_is_fun(X) of
true ->
t_fun_range(X);
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);
type(erlang, atom_to_binary, 2, Xs) ->
strict(arg_types(erlang, atom_to_binary, 2), Xs, fun (_) -> t_binary() end);
type(erlang, atom_to_list, 1, Xs) ->
strict(arg_types(erlang, atom_to_list, 1), Xs, fun (_) -> t_string() end);
type(erlang, binary_part, 2, Xs) ->
strict(arg_types(erlang, binary_part, 2), Xs, fun (_) -> t_binary() end);
type(erlang, binary_part, 3, Xs) ->
strict(arg_types(erlang, binary_part, 3), Xs, fun (_) -> t_binary() end);
type(erlang, binary_to_atom, 2, Xs) ->
strict(arg_types(erlang, binary_to_atom, 2), Xs, fun (_) -> t_atom() end);
type(erlang, binary_to_existing_atom, 2, Xs) ->
type(erlang, binary_to_atom, 2, Xs);
type(erlang, binary_to_list, 1, Xs) ->
strict(arg_types(erlang, binary_to_list, 1), Xs,
fun (_) -> t_list(t_byte()) end);
type(erlang, binary_to_list, 3, Xs) ->
strict(arg_types(erlang, binary_to_list, 3), Xs,
fun (_) -> t_list(t_byte()) end);
type(erlang, binary_to_term, 1, Xs) ->
strict(arg_types(erlang, binary_to_term, 1), Xs, fun (_) -> t_any() end);
type(erlang, binary_to_term, 2, Xs) ->
strict(arg_types(erlang, binary_to_term, 2), Xs, fun (_) -> t_any() end);
type(erlang, bitsize, 1, Xs) -> % XXX: TAKE OUT
type(erlang, bit_size, 1, Xs);
type(erlang, bit_size, 1, Xs) ->
strict(arg_types(erlang, bit_size, 1), Xs,
fun (_) -> t_non_neg_integer() end);
type(erlang, bitstr_to_list, 1, Xs) -> % XXX: TAKE OUT
type(erlang, bitstring_to_list, 1, Xs);
type(erlang, bitstring_to_list, 1, Xs) ->
strict(arg_types(erlang, bitstring_to_list, 1), Xs,
fun (_) -> t_list(t_sup(t_byte(), t_bitstr())) end);
type(erlang, bump_reductions, 1, Xs) ->
strict(arg_types(erlang, bump_reductions, 1), Xs,
fun (_) -> t_atom('true') end);
type(erlang, byte_size, 1, Xs) ->
strict(arg_types(erlang, byte_size, 1), Xs,
fun (_) -> t_non_neg_integer() end);
type(erlang, call_on_load_function, 1, Xs) ->
%% Internal BIF used by on_load.
strict(arg_types(erlang, call_on_load_function, 1), Xs,
fun (_) -> t_any() end);
type(erlang, cancel_timer, 1, Xs) ->
strict(arg_types(erlang, cancel_timer, 1), Xs,
fun (_) -> t_sup(t_integer(), t_atom('false')) end);
type(erlang, check_process_code, 2, Xs) ->
strict(arg_types(erlang, check_process_code, 2), Xs,
fun (_) -> t_boolean() end);
type(erlang, concat_binary, 1, Xs) ->
strict(arg_types(erlang, concat_binary, 1), Xs, fun (_) -> t_binary() end);
type(erlang, crc32, 1, Xs) ->
strict(arg_types(erlang, crc32, 1), Xs, fun (_) -> t_crc32() end);
type(erlang, crc32, 2, Xs) ->
strict(arg_types(erlang, crc32, 2), Xs, fun (_) -> t_crc32() end);
type(erlang, crc32_combine, 3, Xs) ->
strict(arg_types(erlang, crc32_combine, 3), Xs, fun (_) -> t_crc32() end);
type(erlang, date, 0, _) ->
t_date();
type(erlang, decode_packet, 3, Xs) ->
strict(arg_types(erlang, decode_packet, 3), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('ok'), t_packet(), t_binary()]),
t_tuple([t_atom('more'), t_sup([t_non_neg_integer(),
t_atom('undefined')])]),
t_tuple([t_atom('error'), t_any()])])
end);
type(erlang, delete_module, 1, Xs) ->
strict(arg_types(erlang, delete_module, 1), Xs,
fun (_) -> t_sup(t_atom('true'), t_atom('undefined')) end);
type(erlang, demonitor, 1, Xs) ->
strict(arg_types(erlang, demonitor, 1), Xs, fun (_) -> t_atom('true') end);
%% TODO: overapproximation -- boolean only if 'info' is part of arg2 otherwise 'true'
type(erlang, demonitor, 2, Xs) ->
strict(arg_types(erlang, demonitor, 2), Xs, fun (_) -> t_boolean() end);
type(erlang, disconnect_node, 1, Xs) ->
strict(arg_types(erlang, disconnect_node, 1), Xs, fun (_) -> t_boolean() end);
type(erlang, display, 1, _) -> t_atom('true');
type(erlang, display_string, 1, Xs) ->
strict(arg_types(erlang, display_string, 1), Xs, fun(_) -> t_atom('true') end);
type(erlang, display_nl, 0, _) ->
t_atom('true');
type(erlang, dist_exit, 3, Xs) ->
strict(arg_types(erlang, dist_exit, 3), Xs, fun (_) -> t_atom('true') end);
type(erlang, element, 2, Xs) ->
strict(arg_types(erlang, element, 2), Xs,
fun ([X1, X2]) ->
case t_tuple_subtypes(X2) of
unknown -> t_any();
[_] ->
Sz = t_tuple_size(X2),
As = t_tuple_args(X2),
case t_number_vals(X1) of
unknown -> t_sup(As);
Ns when is_list(Ns) ->
Fun = fun
(N, X) when is_integer(N), 1 =< N, N =< Sz ->
t_sup(X, lists:nth(N, As));
(_, X) ->
X
end,
lists:foldl(Fun, t_none(), Ns)
end;
Ts when is_list(Ts) ->
t_sup([type(erlang, element, 2, [X1, Y]) || Y <- Ts])
end
end);
type(erlang, erase, 0, _) -> t_any();
type(erlang, erase, 1, _) -> t_any();
type(erlang, external_size, 1, _) -> t_integer();
type(erlang, finish_after_on_load, 2, Xs) ->
%% Internal BIF used by on_load.
strict(arg_types(erlang, finish_after_on_load, 2), Xs,
fun (_) -> t_atom('true') end);
type(erlang, float, 1, Xs) ->
strict(arg_types(erlang, float, 1), Xs, fun (_) -> t_float() end);
type(erlang, float_to_list, 1, Xs) ->
strict(arg_types(erlang, float_to_list, 1), Xs, fun (_) -> t_string() end);
type(erlang, function_exported, 3, Xs) ->
strict(arg_types(erlang, function_exported, 3), Xs,
fun (_) -> t_boolean() 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, fun_info, 2, Xs) ->
strict(arg_types(erlang, fun_info, 2), Xs,
fun (_) -> t_tuple([t_atom(), t_any()]) end);
type(erlang, fun_to_list, 1, Xs) ->
strict(arg_types(erlang, fun_to_list, 1), Xs, fun (_) -> t_string() end);
type(erlang, garbage_collect, 0, _) -> t_atom('true');
type(erlang, garbage_collect, 1, Xs) ->
strict(arg_types(erlang, garbage_collect, 1), Xs, fun (_) -> t_boolean() end);
type(erlang, garbage_collect_message_area, 0, _) ->
t_boolean();
type(erlang, get, 0, _) -> t_list(t_tuple(2));
type(erlang, get, 1, _) -> t_any(); % | t_atom('undefined')
type(erlang, get_cookie, 0, _) -> t_atom(); % | t_atom('nocookie')
type(erlang, get_keys, 1, _) -> t_list();
type(erlang, get_module_info, 1, Xs) ->
strict(arg_types(erlang, get_module_info, 1), Xs,
fun (_) ->
t_list(t_tuple([t_atom(), t_list(t_tuple([t_atom(), t_any()]))]))
end);
type(erlang, get_module_info, 2, Xs) ->
T_module_info_2_returns =
t_sup([t_atom(),
t_list(t_tuple([t_atom(), t_any()])),
t_list(t_tuple([t_atom(), t_arity(), t_integer()]))]),
strict(arg_types(erlang, get_module_info, 2), Xs,
fun ([Module, Item]) ->
case t_is_atom(Item) of
true ->
case t_atom_vals(Item) of
['module'] -> t_inf(t_atom(), Module);
['imports'] -> t_nil();
['exports'] -> t_list(t_tuple([t_atom(), t_arity()]));
['functions'] -> t_list(t_tuple([t_atom(), t_arity()]));
['attributes'] -> t_list(t_tuple([t_atom(), t_any()]));
['compile'] -> t_list(t_tuple([t_atom(), t_any()]));
['native_addresses'] -> % [{FunName, Arity, Address}]
t_list(t_tuple([t_atom(), t_arity(), t_integer()]));
List when is_list(List) ->
T_module_info_2_returns;
unknown ->
T_module_info_2_returns
end;
false ->
T_module_info_2_returns
end
end);
type(erlang, get_stacktrace, 0, _) ->
t_list(t_tuple([t_atom(), t_atom(), t_sup([t_arity(), t_list()])]));
type(erlang, group_leader, 0, _) -> t_pid();
type(erlang, group_leader, 2, Xs) ->
strict(arg_types(erlang, group_leader, 2), Xs,
fun (_) -> t_atom('true') end);
type(erlang, hash, 2, Xs) ->
strict(arg_types(erlang, hash, 2), Xs, fun (_) -> t_integer() end);
type(erlang, hd, 1, Xs) ->
strict(arg_types(erlang, hd, 1), Xs, fun ([X]) -> t_cons_hd(X) end);
type(erlang, integer_to_list, 1, Xs) ->
strict(arg_types(erlang, integer_to_list, 1), Xs,
fun (_) -> t_string() 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, iolist_size, 1, Xs) ->
strict(arg_types(erlang, iolist_size, 1), Xs,
fun (_) -> t_non_neg_integer() end);
type(erlang, iolist_to_binary, 1, Xs) ->
strict(arg_types(erlang, iolist_to_binary, 1), Xs,
fun (_) -> t_binary() end);
type(erlang, is_alive, 0, _) -> t_boolean();
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) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_binary(Y) end, t_binary())
end,
strict(arg_types(erlang, is_binary, 1), Xs, Fun);
type(erlang, is_bitstr, 1, Xs) -> % XXX: TAKE OUT
type(erlang, is_bitstring, 1, Xs);
type(erlang, is_bitstring, 1, Xs) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_bitstr(Y) end, t_bitstr())
end,
strict(arg_types(erlang, is_bitstring, 1), Xs, Fun);
type(erlang, is_boolean, 1, Xs) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_boolean(Y) end, t_boolean())
end,
strict(arg_types(erlang, is_boolean, 1), Xs, Fun);
type(erlang, is_builtin, 3, Xs) ->
strict(arg_types(erlang, is_builtin, 3), Xs, fun (_) -> t_boolean() end);
type(erlang, is_constant, 1, Xs) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_constant(Y) end, t_constant())
end,
strict(arg_types(erlang, is_constant, 1), Xs, Fun);
type(erlang, is_float, 1, Xs) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_float(Y) end, t_float())
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) ->
Fun = fun ([FunType, ArityType]) ->
case t_number_vals(ArityType) 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);
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) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_integer(Y) end, t_integer())
end,
strict(arg_types(erlang, is_integer, 1), Xs, Fun);
type(erlang, is_list, 1, Xs) ->
Fun = fun (X) ->
Fun2 = fun (Y) -> t_is_maybe_improper_list(Y) end,
check_guard(X, Fun2, t_maybe_improper_list())
end,
strict(arg_types(erlang, is_list, 1), Xs, Fun);
type(erlang, is_number, 1, Xs) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_number(Y) end, t_number())
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_process_alive, 1, Xs) ->
strict(arg_types(erlang, is_process_alive, 1), Xs,
fun (_) -> t_boolean() end);
type(erlang, is_record, 2, Xs) ->
Fun = fun ([X, Y]) ->
case t_is_tuple(X) of
false ->
case t_is_none(t_inf(t_tuple(), X)) of
true -> t_atom('false');
false -> t_boolean()
end;
true ->
case t_tuple_subtypes(X) of
unknown -> t_boolean();
[Tuple] ->
case t_tuple_args(Tuple) 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
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) ->
Fun = fun ([X, Y, Z]) ->
Arity = t_number_vals(Z),
case t_is_tuple(X) of
false when length(Arity) =:= 1 ->
[RealArity] = Arity,
case t_is_none(t_inf(t_tuple(RealArity), X)) of
true -> t_atom('false');
false -> t_boolean()
end;
false ->
case t_is_none(t_inf(t_tuple(), X)) of
true -> t_atom('false');
false -> t_boolean()
end;
true when length(Arity) =:= 1 ->
[RealArity] = Arity,
case t_tuple_subtypes(X) of
unknown -> t_boolean();
[Tuple] ->
case t_tuple_args(Tuple) 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;
Args when length(Args) =/= RealArity ->
t_atom('false')
end;
[_, _|_] ->
t_boolean()
end;
true ->
t_boolean()
end
end,
strict(arg_types(erlang, is_record, 3), Xs, Fun);
type(erlang, is_reference, 1, Xs) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_reference(Y) end, t_reference())
end,
strict(arg_types(erlang, is_reference, 1), Xs, Fun);
type(erlang, is_tuple, 1, Xs) ->
Fun = fun (X) ->
check_guard(X, fun (Y) -> t_is_tuple(Y) end, t_tuple())
end,
strict(arg_types(erlang, is_tuple, 1), Xs, Fun);
type(erlang, length, 1, Xs) ->
strict(arg_types(erlang, length, 1), Xs, fun (_) -> t_non_neg_fixnum() end);
type(erlang, link, 1, Xs) ->
strict(arg_types(erlang, link, 1), Xs, fun (_) -> t_atom('true') end);
type(erlang, list_to_atom, 1, Xs) ->
strict(arg_types(erlang, list_to_atom, 1), Xs, fun (_) -> t_atom() end);
type(erlang, list_to_binary, 1, Xs) ->
strict(arg_types(erlang, list_to_binary, 1), Xs,
fun (_) -> t_binary() end);
type(erlang, list_to_bitstr, 1, Xs) ->
type(erlang, list_to_bitstring, 1, Xs);
type(erlang, list_to_bitstring, 1, Xs) ->
strict(arg_types(erlang, list_to_bitstring, 1), Xs,
fun (_) -> t_bitstr() end);
type(erlang, list_to_existing_atom, 1, Xs) ->
strict(arg_types(erlang, list_to_existing_atom, 1), Xs,
fun (_) -> t_atom() end);
type(erlang, list_to_float, 1, Xs) ->
strict(arg_types(erlang, list_to_float, 1), Xs, fun (_) -> t_float() end);
type(erlang, list_to_integer, 1, Xs) ->
strict(arg_types(erlang, list_to_integer, 1), Xs,
fun (_) -> t_integer() end);
type(erlang, list_to_integer, 2, Xs) ->
strict(arg_types(erlang, list_to_integer, 2), Xs,
fun (_) -> t_integer() end);
type(erlang, list_to_pid, 1, Xs) ->
strict(arg_types(erlang, list_to_pid, 1), Xs, fun (_) -> t_pid() end);
type(erlang, list_to_tuple, 1, Xs) ->
strict(arg_types(erlang, list_to_tuple, 1), Xs, fun (_) -> t_tuple() end);
type(erlang, load_module, 2, Xs) ->
strict(arg_types(erlang, load_module, 2), Xs,
fun ([Mod,_Bin]) -> t_code_load_return(Mod) end);
type(erlang, load_nif, 2, Xs) ->
strict(arg_types(erlang, load_nif, 2), Xs,
fun (_) ->
Reason = t_atoms(['load_failed', 'bad_lib', 'load',
'reload', 'upgrade', 'old_code']),
RsnPair = t_tuple([Reason, t_string()]),
t_sup(t_atom('ok'), t_tuple([t_atom('error'), RsnPair]))
end);
type(erlang, loaded, 0, _) ->
t_list(t_atom());
type(erlang, localtime, 0, Xs) ->
type(erlang, universaltime, 0, Xs); % same
type(erlang, localtime_to_universaltime, 1, Xs) ->
type(erlang, universaltime_to_localtime, 1, Xs); % same
type(erlang, localtime_to_universaltime, 2, Xs) ->
strict(arg_types(erlang, localtime_to_universaltime, 2), Xs, % typecheck
fun ([X,_]) -> type(erlang, localtime_to_universaltime, 1, [X]) end);
type(erlang, make_fun, 3, Xs) ->
strict(arg_types(erlang, make_fun, 3), Xs,
fun ([_, _, Arity]) ->
case t_number_vals(Arity) of
[N] ->
case is_integer(N) andalso 0 =< N andalso N =< 255 of
true -> t_fun(N, t_any());
false -> t_none()
end;
_Other -> t_fun()
end
end);
type(erlang, make_ref, 0, _) -> t_reference();
type(erlang, make_tuple, 2, Xs) ->
strict(arg_types(erlang, make_tuple, 2), Xs,
fun ([Int, _]) ->
case t_number_vals(Int) 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,
fun ([Int, _, _]) ->
case t_number_vals(Int) of
[N] when is_integer(N), N >= 0 -> t_tuple(N);
_Other -> t_tuple()
end
end);
type(erlang, match_spec_test, 3, Xs) ->
strict(arg_types(erlang, match_spec_test, 3), Xs,
fun (_) -> t_sup(t_tuple([t_atom('ok'),
t_any(), % it can be any term
t_list(t_atom('return_trace')),
t_match_spec_test_errors()]),
t_tuple([t_atom('error'),
t_match_spec_test_errors()])) end);
type(erlang, md5, 1, Xs) ->
strict(arg_types(erlang, md5, 1), Xs, fun (_) -> t_binary() end);
type(erlang, md5_final, 1, Xs) ->
strict(arg_types(erlang, md5_final, 1), Xs, fun (_) -> t_binary() end);
type(erlang, md5_init, 0, _) -> t_binary();
type(erlang, md5_update, 2, Xs) ->
strict(arg_types(erlang, md5_update, 2), Xs, fun (_) -> t_binary() end);
type(erlang, memory, 0, _) -> t_list(t_tuple([t_atom(), t_non_neg_fixnum()]));
type(erlang, memory, 1, Xs) ->
strict(arg_types(erlang, memory, 1), Xs,
fun ([Type]) ->
case t_is_atom(Type) of
true -> t_non_neg_fixnum();
false ->
case t_is_list(Type) of
true -> t_list(t_tuple([t_atom(), t_non_neg_fixnum()]));
false ->
t_sup(t_non_neg_fixnum(),
t_list(t_tuple([t_atom(), t_non_neg_fixnum()])))
end
end
end);
type(erlang, module_loaded, 1, Xs) ->
strict(arg_types(erlang, module_loaded, 1), Xs, fun (_) -> t_boolean() end);
type(erlang, monitor, 2, Xs) ->
strict(arg_types(erlang, monitor, 2), Xs, fun (_) -> t_reference() end);
type(erlang, monitor_node, 2, Xs) ->
strict(arg_types(erlang, monitor_node, 2), Xs,
fun (_) -> t_atom('true') end);
type(erlang, monitor_node, 3, Xs) ->
strict(arg_types(erlang, monitor_node, 3), Xs,
fun (_) -> t_atom('true') end);
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);
type(erlang, node, 0, _) -> t_node();
type(erlang, node, 1, Xs) ->
strict(arg_types(erlang, node, 1), Xs, fun (_) -> t_node() end);
type(erlang, nodes, 0, _) -> t_list(t_node());
type(erlang, nodes, 1, Xs) ->
strict(arg_types(erlang, nodes, 1), Xs, fun (_) -> t_list(t_node()) end);
type(erlang, now, 0, _) ->
t_time();
type(erlang, open_port, 2, Xs) ->
strict(arg_types(erlang, open_port, 2), Xs, fun (_) -> t_port() end);
type(erlang, phash, 2, Xs) ->
strict(arg_types(erlang, phash, 2), Xs, fun (_) -> t_pos_integer() end);
type(erlang, phash2, 1, Xs) ->
strict(arg_types(erlang, phash2, 1), Xs, fun (_) -> t_non_neg_integer() end);
type(erlang, phash2, 2, Xs) ->
strict(arg_types(erlang, phash2, 2), Xs, fun (_) -> t_non_neg_integer() end);
type(erlang, pid_to_list, 1, Xs) ->
strict(arg_types(erlang, pid_to_list, 1), Xs, fun (_) -> t_string() end);
type(erlang, port_call, Arity, Xs) when Arity =:= 2; Arity =:= 3 ->
strict(arg_types(erlang, port_call, Arity), Xs, fun (_) -> t_any() end);
type(erlang, port_close, 1, Xs) ->
strict(arg_types(erlang, port_close, 1), Xs,
fun (_) -> t_atom('true') end);
type(erlang, port_command, 2, Xs) ->
strict(arg_types(erlang, port_command, 2), Xs,
fun (_) -> t_atom('true') end);
type(erlang, port_command, 3, Xs) ->
strict(arg_types(erlang, port_command, 3), Xs,
fun (_) -> t_boolean() end);
type(erlang, port_connect, 2, Xs) ->
strict(arg_types(erlang, port_connect, 2), Xs,
fun (_) -> t_atom('true') end);
type(erlang, port_control, 3, Xs) ->
strict(arg_types(erlang, port_control, 3), Xs,
fun (_) -> t_sup(t_string(), t_binary()) end);
type(erlang, port_get_data, 1, Xs) ->
strict(arg_types(erlang, port_get_data, 1), Xs, fun (_) -> t_any() end);
type(erlang, port_info, 1, Xs) ->
strict(arg_types(erlang, port_info, 1), Xs,
fun (_) -> t_sup(t_atom('undefined'), t_list()) end);
type(erlang, port_info, 2, Xs) ->
strict(arg_types(erlang, port_info, 2), Xs,
fun ([_Port, Item]) ->
t_sup(t_atom('undefined'),
case t_atom_vals(Item) of
['connected'] -> t_tuple([Item, t_pid()]);
['id'] -> t_tuple([Item, t_integer()]);
['input'] -> t_tuple([Item, t_integer()]);
['links'] -> t_tuple([Item, t_list(t_pid())]);
['name'] -> t_tuple([Item, t_string()]);
['output'] -> t_tuple([Item, t_integer()]);
['registered_name'] -> t_tuple([Item, t_atom()]);
List when is_list(List) ->
t_tuple([t_sup([t_atom(A) || A <- List]),
t_sup([t_atom(), t_integer(),
t_pid(), t_list(t_pid()),
t_string()])]);
unknown ->
[_, PosItem] = arg_types(erlang, port_info, 2),
t_tuple([PosItem,
t_sup([t_atom(), t_integer(),
t_pid(), t_list(t_pid()),
t_string()])])
end)
end);
type(erlang, port_to_list, 1, Xs) ->
strict(arg_types(erlang, port_to_list, 1), Xs, fun (_) -> t_string() end);
type(erlang, ports, 0, _) -> t_list(t_port());
type(erlang, port_set_data, 2, Xs) ->
strict(arg_types(erlang, port_set_data, 2), Xs,
fun (_) -> t_atom('true') end);
type(erlang, pre_loaded, 0, _) -> t_list(t_atom());
type(erlang, process_display, 2, _) -> t_atom('true');
type(erlang, process_flag, 2, Xs) ->
T_process_flag_returns = t_sup([t_boolean(), t_atom(), t_non_neg_integer()]),
strict(arg_types(erlang, process_flag, 2), Xs,
fun ([Flag, _Option]) ->
case t_is_atom(Flag) of
true ->
case t_atom_vals(Flag) of
['error_handler'] -> t_atom();
['min_heap_size'] -> t_non_neg_integer();
['monitor_nodes'] -> t_boolean();
['priority'] -> t_process_priority_level();
['save_calls'] -> t_non_neg_integer();
['trap_exit'] -> t_boolean();
List when is_list(List) ->
T_process_flag_returns;
unknown ->
T_process_flag_returns
end;
false -> % XXX: over-approximation if Flag is tuple
T_process_flag_returns
end
end);
type(erlang, process_flag, 3, Xs) ->
strict(arg_types(erlang, process_flag, 3), Xs,
fun (_) -> t_non_neg_integer() end);
type(erlang, process_info, 1, Xs) ->
strict(arg_types(erlang, process_info, 1), Xs,
fun (_) ->
t_sup(t_list(t_tuple([t_pinfo(), t_any()])),
t_atom('undefined'))
end);
type(erlang, process_info, 2, Xs) ->
%% we define all normal return values: the return when the process exists
%% t_nil() is the return for 'registered_name'; perhaps for more
T_process_info_2_normal_returns =
t_sup([t_tuple([t_pinfo_item(), t_any()]), t_nil()]),
strict(arg_types(erlang, process_info, 2), Xs,
fun ([_Pid, InfoItem]) ->
Ret = case t_is_atom(InfoItem) of
true ->
case t_atom_vals(InfoItem) of
['backtrace'] -> t_tuple([InfoItem, t_binary()]);
['current_function'] -> t_tuple([InfoItem, t_mfa()]);
['dictionary'] -> t_tuple([InfoItem, t_list()]);
['error_handler'] -> t_tuple([InfoItem, t_atom()]);
['garbage_collection'] ->
t_tuple([InfoItem, t_list()]);
['group_leader'] -> t_tuple([InfoItem, t_pid()]);
['heap_size'] ->
t_tuple([InfoItem, t_non_neg_integer()]);
['initial_call'] -> t_tuple([InfoItem, t_mfa()]);
['last_calls'] ->
t_tuple([InfoItem,
t_sup(t_atom('false'), t_list())]);
['links'] -> t_tuple([InfoItem, t_list(t_pid())]);
['memory'] ->
t_tuple([InfoItem, t_non_neg_integer()]);
['message_binary'] -> t_tuple([InfoItem, t_list()]);
['message_queue_len'] ->
t_tuple([InfoItem, t_non_neg_integer()]);
['messages'] -> t_tuple([InfoItem, t_list()]);
['monitored_by'] ->
t_tuple([InfoItem, t_list(t_pid())]);
['monitors'] ->
t_tuple([InfoItem,
t_list(t_sup(t_tuple([t_atom('process'),
t_pid()]),
t_tuple([t_atom('process'),
t_tuple([t_atom(),
t_atom()])])))]);
['priority'] ->
t_tuple([InfoItem, t_process_priority_level()]);
['reductions'] ->
t_tuple([InfoItem, t_non_neg_integer()]);
['registered_name'] ->
t_sup(t_tuple([InfoItem, t_atom()]), t_nil());
['sequential_trace_token'] ->
t_tuple([InfoItem, t_any()]); %% Underspecified
['stack_size'] ->
t_tuple([InfoItem, t_non_neg_integer()]);
['status'] ->
t_tuple([InfoItem, t_process_status()]);
['suspending'] ->
t_tuple([InfoItem,
t_list(t_tuple([t_pid(),
t_non_neg_integer(),
t_non_neg_integer()]))]);
['total_heap_size'] ->
t_tuple([InfoItem, t_non_neg_integer()]);
['trap_exit'] ->
t_tuple([InfoItem, t_boolean()]);
List when is_list(List) ->
T_process_info_2_normal_returns;
unknown ->
T_process_info_2_normal_returns
end;
false ->
case t_is_list(InfoItem) of
true ->
t_list(t_tuple([t_pinfo_item(), t_any()]));
false ->
t_sup(T_process_info_2_normal_returns,
t_list(t_tuple([t_pinfo_item(), t_any()])))
end
end,
t_sup([Ret, t_atom('undefined')])
end);
type(erlang, processes, 0, _) -> t_list(t_pid());
type(erlang, purge_module, 1, Xs) ->
strict(arg_types(erlang, purge_module, 1), Xs,
fun (_) -> t_atom('true') end);
type(erlang, put, 2, Xs) ->
strict(arg_types(erlang, put, 2), Xs, fun (_) -> t_any() end);
type(erlang, raise, 3, _) -> t_none();
type(erlang, read_timer, 1, Xs) ->
strict(arg_types(erlang, read_timer, 1), Xs,
fun (_) -> t_sup(t_non_neg_integer(), t_atom('false')) end);
type(erlang, ref_to_list, 1, Xs) ->
strict(arg_types(erlang, ref_to_list, 1), Xs, fun (_) -> t_string() end);
type(erlang, register, 2, Xs) ->
strict(arg_types(erlang, register, 2), Xs, fun (_) -> t_atom('true') end);
type(erlang, registered, 0, _) -> t_list(t_atom());
type(erlang, resume_process, 1, Xs) ->
strict(arg_types(erlang, resume_process, 1), Xs,
fun (_) -> t_any() end); %% TODO: overapproximation -- fix this
type(erlang, round, 1, Xs) ->
strict(arg_types(erlang, round, 1), Xs, fun (_) -> t_integer() end);
type(erlang, self, 0, _) -> t_pid();
type(erlang, send, 2, Xs) -> type(erlang, '!', 2, Xs); % alias
type(erlang, send, 3, Xs) ->
strict(arg_types(erlang, send, 3), Xs,
fun (_) -> t_sup(t_atom('ok'), t_sendoptions()) end);
type(erlang, send_after, 3, Xs) ->
strict(arg_types(erlang, send_after, 3), Xs, fun (_) -> t_reference() end);
type(erlang, seq_trace, 2, Xs) ->
strict(arg_types(erlang, seq_trace, 2), Xs,
fun (_) -> t_sup(t_seq_trace_info_returns(), t_tuple(5)) end);
type(erlang, seq_trace_info, 1, Xs) ->
strict(arg_types(erlang, seq_trace_info, 1), Xs,
fun ([Item]) ->
case t_atom_vals(Item) of
['label'] ->
t_sup(t_tuple([Item, t_non_neg_integer()]), t_nil());
['serial'] ->
t_sup(t_tuple([Item, t_tuple([t_non_neg_integer(),
t_non_neg_integer()])]),
t_nil());
['send'] -> t_tuple([Item, t_boolean()]);
['receive'] -> t_tuple([Item, t_boolean()]);
['print'] -> t_tuple([Item, t_boolean()]);
['timestamp'] -> t_tuple([Item, t_boolean()]);
List when is_list(List) ->
t_seq_trace_info_returns();
unknown ->
t_seq_trace_info_returns()
end
end);
type(erlang, seq_trace_print, 1, Xs) ->
strict(arg_types(erlang, seq_trace_print, 1), Xs, fun (_) -> t_boolean() end);
type(erlang, seq_trace_print, 2, Xs) ->
strict(arg_types(erlang, seq_trace_print, 2), Xs, fun (_) -> t_boolean() end);
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,
fun ([X1, X2, X3]) ->
case t_tuple_subtypes(X2) of
unknown -> t_tuple();
[_] ->
Sz = t_tuple_size(X2),
As = t_tuple_args(X2),
case t_number_vals(X1) of
unknown ->
t_tuple([t_sup(X, X3) || X <- As]);
[N] when is_integer(N), 1 =< N, N =< Sz ->
t_tuple(list_replace(N, X3, As));
[N] when is_integer(N), N < 1 ->
t_none();
[N] when is_integer(N), N > Sz ->
t_none();
Ns ->
Fun = fun (N, XL) when is_integer(N), 1 =< N, N =< Sz ->
X = lists:nth(N, XL),
Y = t_sup(X, X3),
list_replace(N, Y, XL);
(_, XL) ->
XL
end,
t_tuple(lists:foldl(Fun, As, Ns))
end;
Ts when is_list(Ts) ->
t_sup([type(erlang, setelement, 3, [X1, Y, X3]) || Y <- Ts])
end
end);
type(erlang, setnode, 2, Xs) ->
strict(arg_types(erlang, setnode, 2), Xs, fun (_) -> t_atom('true') end);
type(erlang, setnode, 3, Xs) ->
strict(arg_types(erlang, setnode, 3), Xs, fun (_) -> t_atom('true') end);
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, 3, Xs) ->
strict(arg_types(erlang, spawn, 3), 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, 3, Xs) -> type(erlang, spawn, 3, Xs); % same
type(erlang, spawn_link, 4, Xs) -> type(erlang, spawn, 4, Xs); % same
type(erlang, spawn_opt, 1, Xs) ->
strict(arg_types(erlang, spawn_opt, 1), Xs,
fun ([Tuple]) ->
Fun = fun (TS) ->
[_, _, _, List] = t_tuple_args(TS),
t_spawn_opt_return(List)
end,
t_sup([Fun(TS) || TS <- t_tuple_subtypes(Tuple)])
end);
type(erlang, spawn_opt, 2, Xs) ->
strict(arg_types(erlang, spawn_opt, 2), Xs,
fun ([_, List]) -> t_spawn_opt_return(List) end);
type(erlang, spawn_opt, 3, Xs) ->
strict(arg_types(erlang, spawn_opt, 3), Xs,
fun ([_, _, List]) -> t_spawn_opt_return(List) end);
type(erlang, spawn_opt, 4, Xs) ->
strict(arg_types(erlang, spawn_opt, 4), Xs,
fun ([_, _, _, List]) -> t_spawn_opt_return(List) end);
type(erlang, split_binary, 2, Xs) ->
strict(arg_types(erlang, split_binary, 2), Xs,
fun (_) -> t_tuple([t_binary(), t_binary()]) end);
type(erlang, start_timer, 3, Xs) ->
strict(arg_types(erlang, start_timer, 3), Xs, fun (_) -> t_reference() end);
type(erlang, statistics, 1, Xs) ->
strict(arg_types(erlang, statistics, 1), Xs,
fun ([Type]) ->
T_statistics_1 = t_sup([t_non_neg_integer(),
t_tuple([t_non_neg_integer(),
t_non_neg_integer()]),
%% When called with the argument 'io'.
t_tuple([t_tuple([t_atom('input'),
t_non_neg_integer()]),
t_tuple([t_atom('output'),
t_non_neg_integer()])]),
t_tuple([t_non_neg_integer(),
t_non_neg_integer(),
t_non_neg_integer()])]),
case t_atom_vals(Type) of
['context_switches'] ->
t_tuple([t_non_neg_integer(), t_integer(0)]);
['exact_reductions'] ->
t_tuple([t_non_neg_integer(), t_non_neg_integer()]);
['garbage_collection'] ->
t_tuple([t_non_neg_integer(),
t_non_neg_integer(),
t_integer(0)]);
['io'] ->
t_tuple([t_tuple([t_atom('input'), t_non_neg_integer()]),
t_tuple([t_atom('output'), t_non_neg_integer()])]);
['reductions'] ->
t_tuple([t_non_neg_integer(), t_non_neg_integer()]);
['run_queue'] ->
t_non_neg_integer();
['runtime'] ->
t_tuple([t_non_neg_integer(), t_integer(0)]);
['wall_clock'] ->
t_tuple([t_non_neg_integer(), t_integer(0)]);
List when is_list(List) ->
T_statistics_1;
unknown ->
T_statistics_1
end
end);
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, suspend_process, 2, Xs) ->
strict(arg_types(erlang, suspend_process, 2), Xs,
fun (_) -> t_boolean() end);
type(erlang, system_flag, 2, Xs) ->
strict(arg_types(erlang, system_flag, 2), Xs,
fun ([Flag,_Value]) ->
%% this provides an overapproximation of all return values
T_system_flag_2 = t_sup([t_boolean(),
t_integer(),
t_sequential_tracer(),
t_system_cpu_topology(),
t_system_multi_scheduling()]),
case t_is_atom(Flag) of
true ->
case t_atom_vals(Flag) of
['backtrace_depth'] ->
t_non_neg_fixnum();
['cpu_topology'] ->
t_system_cpu_topology();
['debug_flags'] ->
t_atom('true');
['display_items'] ->
t_non_neg_fixnum();
['fullsweep_after'] ->
t_non_neg_fixnum();
['min_heap_size'] ->
t_non_neg_fixnum();
['multi_scheduling'] ->
t_system_multi_scheduling();
['schedulers_online'] ->
t_pos_fixnum();
['scheduler_bind_type'] ->
t_scheduler_bind_type_results();
['sequential_tracer'] ->
t_sequential_tracer();
['trace_control_word'] ->
t_integer();
List when is_list(List) ->
T_system_flag_2;
unknown ->
T_system_flag_2
end;
false ->
case t_is_integer(Flag) of % SHOULD BE: t_is_fixnum
true ->
t_atom('true');
false ->
T_system_flag_2
end
end
end);
type(erlang, system_info, 1, Xs) ->
strict(arg_types(erlang, system_info, 1), Xs,
fun ([Type]) ->
case t_is_atom(Type) of
true ->
case t_atom_vals(Type) of
['allocated_areas'] ->
t_list(t_sup([t_tuple([t_atom(),t_non_neg_integer()]),
t_tuple([t_atom(),
t_non_neg_integer(),
t_non_neg_integer()])]));
['allocator'] ->
t_tuple([t_sup([t_atom('undefined'),
t_atom('glibc')]),
t_list(t_integer()),
t_list(t_atom()),
t_list(t_tuple([t_atom(),
t_list(t_tuple([t_atom(),
t_any()]))]))]);
['break_ignored'] ->
t_boolean();
['cpu_topology'] ->
t_system_cpu_topology();
['compat_rel'] ->
t_non_neg_fixnum();
['creation'] ->
t_fixnum();
['debug_compiled'] ->
t_boolean();
['dist'] ->
t_binary();
['dist_ctrl'] ->
t_list(t_tuple([t_atom(), t_sup([t_pid(), t_port])]));
%% elib_malloc is intentionally not included,
%% because it scheduled for removal in R15.
['endian'] ->
t_endian();
['fullsweep_after'] ->
t_tuple([t_atom('fullsweep_after'), t_non_neg_integer()]);
['garbage_collection'] ->
t_list();
['global_heaps_size'] ->
t_non_neg_integer();
['heap_sizes'] ->
t_list(t_integer());
['heap_type'] ->
t_sup([t_atom('private'), t_atom('hybrid')]);
['hipe_architecture'] ->
t_atoms(['amd64', 'arm', 'powerpc', 'ppc64',
'undefined', 'ultrasparc', 'x86']);
['info'] ->
t_binary();
['internal_cpu_topology'] -> %% Undocumented internal feature
t_internal_cpu_topology();
['loaded'] ->
t_binary();
['logical_processors'] ->
t_non_neg_fixnum();
['machine'] ->
t_string();
['multi_scheduling'] ->
t_system_multi_scheduling();
['multi_scheduling_blockers'] ->
t_list(t_pid());
['os_type'] ->
t_tuple([t_sup([t_atom('ose'), % XXX: undocumented
t_atom('unix'),
t_atom('vxworks'),
t_atom('win32')]),
t_atom()]);
['os_version'] ->
t_sup(t_tuple([t_non_neg_fixnum(),
t_non_neg_fixnum(),
t_non_neg_fixnum()]),
t_string());
['process_count'] ->
t_non_neg_fixnum();
['process_limit'] ->
t_non_neg_fixnum();
['procs'] ->
t_binary();
['scheduler_bindings'] ->
t_tuple();
['scheduler_bind_type'] ->
t_scheduler_bind_type_results();
['schedulers'] ->
t_pos_fixnum();
['schedulers_online'] ->
t_pos_fixnum();
['sequential_tracer'] ->
t_tuple([t_atom('sequential_tracer'),
t_sequential_tracer()]);
['smp_support'] ->
t_boolean();
['system_architecture'] ->
t_string();
['system_version'] ->
t_string();
['threads'] ->
t_boolean();
['thread_pool_size'] ->
t_non_neg_fixnum();
['trace_control_word'] ->
t_integer();
['version'] ->
t_string();
['wordsize'] ->
t_integers([4,8]);
List when is_list(List) ->
t_any(); %% gross overapproximation
unknown ->
t_any()
end;
false -> %% This currently handles only {allocator, Alloc}
t_any() %% overapproximation as the return value might change
end
end);
type(erlang, system_monitor, 0, Xs) ->
strict(arg_types(erlang, system_monitor, 0), Xs,
fun (_) -> t_system_monitor_settings() end);
type(erlang, system_monitor, 1, Xs) ->
strict(arg_types(erlang, system_monitor, 1), Xs,
fun (_) -> t_system_monitor_settings() end);
type(erlang, system_monitor, 2, Xs) ->
strict(arg_types(erlang, system_monitor, 2), Xs,
fun (_) -> t_system_monitor_settings() end);
type(erlang, system_profile, 0, _) ->
t_system_profile_return();
type(erlang, system_profile, 2, Xs) ->
strict(arg_types(erlang, system_profile, 2), Xs,
fun (_) -> t_system_profile_return() end);
type(erlang, term_to_binary, 1, Xs) ->
strict(arg_types(erlang, term_to_binary, 1), Xs, fun (_) -> t_binary() end);
type(erlang, term_to_binary, 2, Xs) ->
strict(arg_types(erlang, term_to_binary, 2), Xs, fun (_) -> t_binary() end);
type(erlang, time, 0, _) ->
t_tuple([t_non_neg_integer(), t_non_neg_integer(), t_non_neg_integer()]);
type(erlang, tl, 1, Xs) ->
strict(arg_types(erlang, tl, 1), Xs, fun ([X]) -> t_cons_tl(X) end);
type(erlang, trace, 3, Xs) ->
strict(arg_types(erlang, trace, 3), Xs, fun (_) -> t_integer() end);
type(erlang, trace_delivered, 1, Xs) ->
strict(arg_types(erlang, trace_delivered, 1), Xs,
fun (_) -> t_reference() end);
type(erlang, trace_info, 2, Xs) ->
strict(arg_types(erlang, trace_info, 2), Xs,
fun (_) ->
t_tuple([t_atom(),
t_sup([%% the following is info about a PID
t_list(t_atom()), t_pid(), t_port(),
%% the following is info about a func
t_atom('global'), t_atom('local'),
t_atom('false'), t_atom('true'),
t_list(), t_pid(), t_port(),
t_integer(),
t_list(t_tuple([t_atom(), t_any()])),
%% and this is the 'not found' value
t_atom('undefined')])])
end);
type(erlang, trace_pattern, 2, Xs) ->
strict(arg_types(erlang, trace_pattern, 2), Xs,
fun (_) -> t_non_neg_fixnum() end); %% num of MFAs that match pattern
type(erlang, trace_pattern, 3, Xs) ->
strict(arg_types(erlang, trace_pattern, 3), Xs,
fun (_) -> t_non_neg_fixnum() end); %% num of MFAs that match pattern
type(erlang, trunc, 1, Xs) ->
strict(arg_types(erlang, trunc, 1), Xs, fun (_) -> t_integer() end);
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,
fun ([X]) ->
case t_tuple_subtypes(X) of
unknown -> t_list();
SubTypes ->
Args = lists:flatten([t_tuple_args(ST) || ST <- SubTypes]),
%% Can be nil if the tuple can be {}
case lists:any(fun (T) ->
t_tuple_size(T) =:= 0
end, SubTypes) of
true ->
%% Be careful here. If we had only {} we need to
%% keep the nil.
t_sup(t_nonempty_list(t_sup(Args)), t_nil());
false ->
t_nonempty_list(t_sup(Args))
end
end
end);
type(erlang, universaltime, 0, _) ->
t_tuple([t_date(), t_time()]);
type(erlang, universaltime_to_localtime, 1, Xs) ->
strict(arg_types(erlang, universaltime_to_localtime, 1), Xs,
fun ([T]) -> T end);
type(erlang, unlink, 1, Xs) ->
strict(arg_types(erlang, unlink, 1), Xs, fun (_) -> t_atom('true') end);
type(erlang, unregister, 1, Xs) ->
strict(arg_types(erlang, unregister, 1), Xs, fun (_) -> t_atom('true') end);
type(erlang, whereis, 1, Xs) ->
strict(arg_types(erlang, whereis, 1), Xs,
fun (_) -> t_sup([t_pid(), t_port(), t_atom('undefined')]) end);
type(erlang, yield, 0, _) -> t_atom('true');
%%-- erl_prim_loader ----------------------------------------------------------
type(erl_prim_loader, get_file, 1, Xs) ->
strict(arg_types(erl_prim_loader, get_file, 1), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_binary(), t_string()]),
t_atom('error'))
end);
type(erl_prim_loader, get_path, 0, _) ->
t_tuple([t_atom('ok'), t_list(t_string())]);
type(erl_prim_loader, set_path, 1, Xs) ->
strict(arg_types(erl_prim_loader, set_path, 1), Xs,
fun (_) -> t_atom('ok') end);
%%-- error_logger -------------------------------------------------------------
type(error_logger, warning_map, 0, _) ->
t_sup([t_atom('info'), t_atom('warning'), t_atom('error')]);
%%-- erts_debug ---------------------------------------------------------------
type(erts_debug, breakpoint, 2, Xs) ->
strict(arg_types(erts_debug, breakpoint, 2), Xs, fun (_) -> t_fixnum() end);
type(erts_debug, disassemble, 1, Xs) ->
strict(arg_types(erts_debug, disassemble, 1), Xs,
fun (_) -> t_sup([t_atom('false'),
t_atom('undef'),
t_tuple([t_integer(), t_binary(), t_mfa()])]) end);
type(erts_debug, display, 1, _) ->
t_string();
type(erts_debug, dist_ext_to_term, 2, Xs) ->
strict(arg_types(erts_debug, dist_ext_to_term, 2), Xs,
fun (_) -> t_any() end);
type(erts_debug, dump_monitors, 1, Xs) ->
strict(arg_types(erts_debug, dump_monitors, 1), Xs,
fun(_) -> t_atom('true') end);
type(erts_debug, dump_links, 1, Xs) ->
strict(arg_types(erts_debug, dump_links, 1), Xs,
fun(_) -> t_atom('true') end);
type(erts_debug, flat_size, 1, Xs) ->
strict(arg_types(erts_debug, flat_size, 1), Xs, fun (_) -> t_integer() end);
type(erts_debug, get_internal_state, 1, _) ->
t_any();
type(erts_debug, lock_counters, 1, Xs) ->
strict(arg_types(erts_debug, lock_counters, 1), Xs,
fun ([Arg]) ->
case t_is_atom(Arg) of
true ->
case t_atom_vals(Arg) of
['enabled'] -> t_boolean();
['info'] -> t_any();
['clear'] -> t_atom(ok);
_ -> t_sup([t_boolean(), t_any(), t_atom('ok')])
end;
false ->
case t_is_tuple(Arg) of
true -> t_boolean();
false -> t_sup([t_boolean(), t_any(), t_atom('ok')])
end
end
end);
type(erts_debug, same, 2, Xs) ->
strict(arg_types(erts_debug, same, 2), Xs, fun (_) -> t_boolean() end);
type(erts_debug, set_internal_state, 2, _) ->
t_any();
%%-- ets ----------------------------------------------------------------------
type(ets, all, 0, _) ->
t_list(t_tab());
type(ets, delete, 1, Xs) ->
strict(arg_types(ets, delete, 1), Xs, fun (_) -> t_atom('true') end);
type(ets, delete, 2, Xs) ->
strict(arg_types(ets, delete, 2), Xs, fun (_) -> t_atom('true') end);
type(ets, delete_all_objects, 1, Xs) ->
strict(arg_types(ets, delete_all_objects, 1), Xs,
fun (_) -> t_atom('true') end);
type(ets, delete_object, 2, Xs) ->
strict(arg_types(ets, delete_object, 2), Xs, fun (_) -> t_atom('true') end);
type(ets, first, 1, Xs) ->
strict(arg_types(ets, first, 1), Xs, fun (_) -> t_any() end);
type(ets, give_away, 3, Xs) ->
strict(arg_types(ets, give_away, 3), Xs, fun (_) -> t_atom('true') end);
type(ets, info, 1, Xs) ->
strict(arg_types(ets, info, 1), Xs,
fun (_) ->
t_sup(t_list(t_tuple([t_ets_info_items(), t_any()])),
t_atom('undefined'))
end);
type(ets, info, 2, Xs) ->
strict(arg_types(ets, info, 2), Xs, fun (_) -> t_any() end);
type(ets, insert, 2, Xs) ->
strict(arg_types(ets, insert, 2), Xs, fun (_) -> t_atom('true') end);
type(ets, insert_new, 2, Xs) ->
strict(arg_types(ets, insert_new, 2), Xs, fun (_) -> t_boolean() end);
type(ets, is_compiled_ms, 1, Xs) ->
strict(arg_types(ets, is_compiled_ms, 1), Xs, fun (_) -> t_boolean() end);
type(ets, last, 1, Xs) ->
type(ets, first, 1, Xs);
type(ets, lookup, 2, Xs) ->
strict(arg_types(ets, lookup, 2), Xs, fun (_) -> t_list(t_tuple()) end);
type(ets, lookup_element, 3, Xs) ->
strict(arg_types(ets, lookup_element, 3), Xs, fun (_) -> t_any() end);
type(ets, match, 1, Xs) ->
strict(arg_types(ets, match, 1), Xs, fun (_) -> t_matchres() end);
type(ets, match, 2, Xs) ->
strict(arg_types(ets, match, 2), Xs, fun (_) -> t_list() end);
type(ets, match, 3, Xs) ->
strict(arg_types(ets, match, 3), Xs, fun (_) -> t_matchres() end);
type(ets, match_object, 1, Xs) -> type(ets, match, 1, Xs);
type(ets, match_object, 2, Xs) -> type(ets, match, 2, Xs);
type(ets, match_object, 3, Xs) -> type(ets, match, 3, Xs);
type(ets, match_spec_compile, 1, Xs) ->
strict(arg_types(ets, match_spec_compile, 1), Xs, fun (_) -> t_any() end);
type(ets, match_spec_run_r, 3, Xs) ->
strict(arg_types(ets, match_spec_run_r, 3), Xs, fun (_) -> t_list() end);
type(ets, member, 2, Xs) ->
strict(arg_types(ets, member, 2), Xs, fun (_) -> t_boolean() end);
type(ets, new, 2, Xs) ->
strict(arg_types(ets, new, 2), Xs, fun (_) -> t_tab() end);
type(ets, next, 2, Xs) ->
strict(arg_types(ets, next, 2), Xs,
%% t_any below stands for: term() | '$end_of_table'
fun (_) -> t_any() end);
type(ets, prev, 2, Xs) -> type(ets, next, 2, Xs);
type(ets, rename, 2, Xs) ->
strict(arg_types(ets, rename, 2), Xs, fun ([_, Name]) -> Name end);
type(ets, safe_fixtable, 2, Xs) ->
strict(arg_types(ets, safe_fixtable, 2), Xs, fun (_) -> t_atom('true') end);
type(ets, select, 1, Xs) ->
strict(arg_types(ets, select, 1), Xs, fun (_) -> t_matchres() end);
type(ets, select, 2, Xs) ->
strict(arg_types(ets, select, 2), Xs, fun (_) -> t_list() end);
type(ets, select, 3, Xs) ->
strict(arg_types(ets, select, 3), Xs, fun (_) -> t_matchres() end);
type(ets, select_count, 2, Xs) ->
strict(arg_types(ets, select_count, 2), Xs,
fun (_) -> t_non_neg_fixnum() end);
type(ets, select_delete, 2, Xs) ->
strict(arg_types(ets, select_delete, 2), Xs,
fun (_) -> t_non_neg_fixnum() end);
type(ets, select_reverse, 1, Xs) -> type(ets, select, 1, Xs);
type(ets, select_reverse, 2, Xs) -> type(ets, select, 2, Xs);
type(ets, select_reverse, 3, Xs) -> type(ets, select, 3, Xs);
type(ets, setopts, 2, Xs) ->
strict(arg_types(ets, setopts, 2), Xs, fun (_) -> t_atom('true') end);
type(ets, slot, 2, Xs) ->
strict(arg_types(ets, slot, 2), Xs,
fun (_) -> t_sup(t_list(t_tuple()), t_atom('$end_of_table')) end);
type(ets, update_counter, 3, Xs) ->
strict(arg_types(ets, update_counter, 3), Xs,
fun ([_, _, Op]) ->
case t_is_integer(Op) of
true -> t_integer();
false ->
case t_is_tuple(Op) of
true -> t_integer();
false ->
case t_is_list(Op) of
true -> t_list(t_integer());
false ->
case t_is_nil(Op) of
true -> t_nil();
false -> t_sup([t_integer(), t_list(t_integer())])
end
end
end
end
end);
type(ets, update_element, 3, Xs) ->
strict(arg_types(ets, update_element, 3), Xs, fun (_) -> t_boolean() end);
%%-- file ---------------------------------------------------------------------
type(file, close, 1, Xs) ->
strict(arg_types(file, close, 1), Xs, fun (_) -> t_file_return() end);
type(file, delete, 1, Xs) ->
strict(arg_types(file, delete, 1), Xs, fun (_) -> t_file_return() end);
type(file, get_cwd, 0, _) ->
t_sup(t_tuple([t_atom('ok'), t_string()]),
t_tuple([t_atom('error'), t_file_posix_error()]));
type(file, make_dir, 1, Xs) ->
strict(arg_types(file, make_dir, 1), Xs, fun (_) -> t_file_return() end);
type(file, open, 2, Xs) ->
strict(arg_types(file, open, 2), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('ok'), t_file_io_device()]),
t_tuple([t_atom('error'), t_file_posix_error()])])
end);
type(file, read_file, 1, Xs) ->
strict(arg_types(file, read_file, 1), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('ok'), t_binary()]),
t_tuple([t_atom('error'), t_file_posix_error()])])
end);
type(file, set_cwd, 1, Xs) ->
strict(arg_types(file, set_cwd, 1), Xs,
fun (_) -> t_sup(t_atom('ok'),
t_tuple([t_atom('error'), t_file_posix_error()]))
end);
type(file, write_file, 2, Xs) ->
strict(arg_types(file, write_file, 2), Xs, fun (_) -> t_file_return() end);
%%-- gen_tcp ------------------------------------------------------------------
%% NOTE: All type information for this module added to avoid loss of precision
type(gen_tcp, accept, 1, Xs) ->
strict(arg_types(gen_tcp, accept, 1), Xs, fun (_) -> t_gen_tcp_accept() end);
type(gen_tcp, accept, 2, Xs) ->
strict(arg_types(gen_tcp, accept, 2), Xs, fun (_) -> t_gen_tcp_accept() end);
type(gen_tcp, connect, 3, Xs) ->
strict(arg_types(gen_tcp, connect, 3), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_socket()]),
t_tuple([t_atom('error'), t_inet_posix_error()]))
end);
type(gen_tcp, connect, 4, Xs) ->
strict(arg_types(gen_tcp, connect, 4), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_socket()]),
t_tuple([t_atom('error'), t_inet_posix_error()]))
end);
type(gen_tcp, listen, 2, Xs) ->
strict(arg_types(gen_tcp, listen, 2), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_socket()]),
t_tuple([t_atom('error'), t_inet_posix_error()]))
end);
type(gen_tcp, recv, 2, Xs) ->
strict(arg_types(gen_tcp, recv, 2), Xs, fun (_) -> t_gen_tcp_recv() end);
type(gen_tcp, recv, 3, Xs) ->
strict(arg_types(gen_tcp, recv, 3), Xs, fun (_) -> t_gen_tcp_recv() end);
type(gen_tcp, send, 2, Xs) ->
strict(arg_types(gen_tcp, send, 2), Xs,
fun (_) ->
t_sup(t_atom('ok'),
t_tuple([t_atom('error'), t_inet_posix_error()]))
end);
type(gen_tcp, shutdown, 2, Xs) ->
strict(arg_types(gen_tcp, shutdown, 2), Xs,
fun (_) ->
t_sup(t_atom('ok'),
t_tuple([t_atom('error'), t_inet_posix_error()]))
end);
%%-- gen_udp ------------------------------------------------------------------
%% NOTE: All type information for this module added to avoid loss of precision
type(gen_udp, open, 1, Xs) ->
strict(arg_types(gen_udp, open, 1), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_socket()]),
t_tuple([t_atom('error'), t_inet_posix_error()]))
end);
type(gen_udp, open, 2, Xs) ->
strict(arg_types(gen_udp, open, 2), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_socket()]),
t_tuple([t_atom('error'), t_inet_posix_error()]))
end);
type(gen_udp, recv, 2, Xs) ->
strict(arg_types(gen_udp, recv, 2), Xs, fun (_) -> t_gen_udp_recv() end);
type(gen_udp, recv, 3, Xs) ->
strict(arg_types(gen_udp, recv, 3), Xs, fun (_) -> t_gen_udp_recv() end);
type(gen_udp, send, 4, Xs) ->
strict(arg_types(gen_udp, send, 4), Xs,
fun (_) ->
t_sup(t_atom('ok'),
t_tuple([t_atom('error'), t_sup(t_atom('not_owner'),
t_inet_posix_error())]))
end);
%%-- 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,
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, 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_nil() 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);
%%-- io -----------------------------------------------------------------------
type(io, format, 1, Xs) ->
strict(arg_types(io, format, 1), Xs, fun (_) -> t_atom('ok') end);
type(io, format, 2, Xs) ->
strict(arg_types(io, format, 2), Xs, fun (_) -> t_atom('ok') end);
type(io, format, 3, Xs) ->
strict(arg_types(io, format, 3), Xs, fun (_) -> t_atom('ok') end);
type(io, fwrite, 1, Xs) -> type(io, format, 1, Xs); % same
type(io, fwrite, 2, Xs) -> type(io, format, 2, Xs); % same
type(io, fwrite, 3, Xs) -> type(io, format, 3, Xs); % same
type(io, put_chars, 1, Xs) ->
strict(arg_types(io, put_chars, 1), Xs, fun (_) -> t_atom('ok') end);
type(io, put_chars, 2, Xs) ->
strict(arg_types(io, put_chars, 2), Xs, fun (_) -> t_atom('ok') end);
%%-- io_lib -------------------------------------------------------------------
type(io_lib, format, 2, Xs) ->
strict(arg_types(io_lib, format, 2), Xs,
%% t_list() because the character list might be arbitrarily nested
fun (_) -> t_list(t_sup(t_char(), t_list())) end);
type(io_lib, fwrite, 2, Xs) -> type(io_lib, format, 2, Xs); % same
%%-- lists --------------------------------------------------------------------
type(lists, all, 2, Xs) ->
strict(arg_types(lists, all, 2), Xs,
fun ([F, L]) ->
case t_is_nil(L) of
true -> t_atom('true');
false ->
El = t_list_elements(L),
case check_fun_application(F, [El]) of
ok ->
case t_is_cons(L) of
true -> t_fun_range(F);
false ->
%% The list can be empty.
t_sup(t_atom('true'), t_fun_range(F))
end;
error ->
case t_is_cons(L) of
true -> t_none();
false -> t_fun_range(F)
end
end
end
end);
type(lists, any, 2, Xs) ->
strict(arg_types(lists, any, 2), Xs,
fun ([F, L]) ->
case t_is_nil(L) of
true -> t_atom('false');
false ->
El = t_list_elements(L),
case check_fun_application(F, [El]) of
ok ->
case t_is_cons(L) of
true -> t_fun_range(F);
false ->
%% The list can be empty
t_sup(t_atom('false'), t_fun_range(F))
end;
error ->
case t_is_cons(L) of
true -> t_none();
false -> t_fun_range(F)
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,
fun ([_, List]) ->
case t_is_cons(List) of
true -> t_cons_tl(List);
false -> List
end
end);
type(lists, dropwhile, 2, Xs) ->
strict(arg_types(lists, dropwhile, 2), Xs,
fun ([F, X]) ->
case t_is_nil(X) of
true -> t_nil();
false ->
X1 = t_list_elements(X),
case check_fun_application(F, [X1]) of
ok ->
case t_atom_vals(t_fun_range(F)) of
['true'] ->
case t_is_none(t_inf(t_list(), X)) of
true -> t_none();
false -> t_nil()
end;
['false'] ->
case t_is_none(t_inf(t_list(), X)) of
true -> t_none();
false -> X
end;
_ ->
t_inf(t_cons_tl(t_inf(X, t_cons())),
t_maybe_improper_list())
end;
error ->
case t_is_cons(X) of
true -> t_none();
false -> t_nil()
end
end
end
end);
type(lists, filter, 2, Xs) ->
strict(arg_types(lists, filter, 2), Xs,
fun ([F, L]) ->
case t_is_nil(L) of
true -> t_nil();
false ->
T = t_list_elements(L),
case check_fun_application(F, [T]) of
ok ->
case t_atom_vals(t_fun_range(F)) =:= ['false'] of
true -> t_nil();
false ->
case t_atom_vals(t_fun_range(F)) =:= ['true'] of
true -> L;
false -> t_list(T)
end
end;
error ->
case t_is_cons(L) of
true -> t_none();
false -> t_nil()
end
end
end
end);
type(lists, flatten, 1, Xs) ->
strict(arg_types(lists, flatten, 1), Xs,
fun ([L]) ->
case t_is_nil(L) of
true -> L; % (nil has undefined elements)
false ->
%% Avoiding infinite recursion is tricky
X1 = t_list_elements(L),
case t_is_any(X1) of
true ->
t_list();
false ->
X2 = type(lists, flatten, 1, [t_inf(X1, t_list())]),
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,
fun ([F, List]) ->
case t_is_nil(List) of
true -> t_nil();
false ->
case check_fun_application(F, [t_list_elements(List)]) of
ok ->
R = t_fun_range(F),
case t_is_nil(R) of
true -> t_nil();
false ->
Elems = t_list_elements(R),
case t_is_cons(List) of
true ->
case t_is_subtype(t_nil(), R) of
true -> t_list(Elems);
false -> t_nonempty_list(Elems)
end;
false -> t_list(Elems)
end
end;
error ->
case t_is_cons(List) of
true -> t_none();
false -> t_nil()
end
end
end
end);
type(lists, foreach, 2, Xs) ->
strict(arg_types(lists, foreach, 2), Xs,
fun ([F, List]) ->
case t_is_cons(List) of
true ->
case check_fun_application(F, [t_list_elements(List)]) 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,
fun ([F, Acc, List]) ->
case t_is_nil(List) of
true -> Acc;
false ->
case check_fun_application(F, [t_list_elements(List), Acc]) of
ok ->
case t_is_cons(List) of
true -> t_fun_range(F);
false -> t_sup(t_fun_range(F), Acc)
end;
error ->
case t_is_cons(List) 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,
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,
fun ([X, Y, Z]) ->
ListEs = t_list_elements(Z),
Tuple = t_inf(t_tuple(), ListEs),
case t_is_none(Tuple) of
true -> t_atom('false');
false ->
%% this BIF, contrary to lists:keysearch/3 does not
%% wrap its result in a 'value'-tagged tuple
Ret = t_sup(Tuple, t_atom('false')),
case t_is_any(X) of
true -> Ret;
false ->
case t_tuple_subtypes(Tuple) of
unknown -> Ret;
List ->
Keys = [type(erlang, element, 2, [Y, S])
|| S <- List],
Infs = [t_inf(Key, X) || Key <- Keys],
case all_is_none(Infs) of
true -> t_atom('false');
false -> Ret
end
end
end
end
end);
type(lists, keymap, 3, Xs) ->
strict(arg_types(lists, keymap, 3), Xs,
fun ([F, _I, L]) ->
case t_is_nil(L) of
true -> L;
false -> t_list(t_sup(t_fun_range(F), t_list_elements(L)))
end
end);
type(lists, keymember, 3, Xs) ->
strict(arg_types(lists, keymember, 3), Xs,
fun ([X, Y, Z]) ->
ListEs = t_list_elements(Z),
Tuple = t_inf(t_tuple(), ListEs),
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
unknown -> t_boolean();
List ->
Keys = [type(erlang, element, 2, [Y,S]) || S <- List],
Infs = [t_inf(Key, X) || Key <- Keys],
case all_is_none(Infs) 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,
fun ([X, Y, Z]) ->
ListEs = t_list_elements(Z),
Tuple = t_inf(t_tuple(), ListEs),
case t_is_none(Tuple) of
true -> t_atom('false');
false ->
Ret = t_sup(t_tuple([t_atom('value'), Tuple]),
t_atom('false')),
case t_is_any(X) of
true -> Ret;
false ->
case t_tuple_subtypes(Tuple) of
unknown -> Ret;
List ->
Keys = [type(erlang, element, 2, [Y, S])
|| S <- List],
Infs = [t_inf(Key, X) || Key <- Keys],
case all_is_none(Infs) 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,
fun ([F, L]) ->
case t_is_nil(L) of
true -> L;
false ->
El = t_list_elements(L),
case t_is_cons(L) of
true ->
case check_fun_application(F, [El]) of
ok -> t_nonempty_list(t_fun_range(F));
error -> t_none()
end;
false ->
case check_fun_application(F, [El]) of
ok -> t_list(t_fun_range(F));
error -> t_nil()
end
end
end
end);
type(lists, mapfoldl, 3, Xs) ->
strict(arg_types(lists, mapfoldl, 3), Xs,
fun ([F, Acc, List]) ->
case t_is_nil(List) of
true -> t_tuple([List, Acc]);
false ->
El = t_list_elements(List),
R = t_fun_range(F),
case t_is_cons(List) of
true ->
case check_fun_application(F, [El, Acc]) of
ok ->
Fun = fun (RangeTuple) ->
[T1, T2] = t_tuple_args(RangeTuple),
t_tuple([t_nonempty_list(T1), T2])
end,
t_sup([Fun(ST) || ST <- t_tuple_subtypes(R)]);
error ->
t_none()
end;
false ->
case check_fun_application(F, [El, Acc]) of
ok ->
Fun = fun (RangeTuple) ->
[T1, T2] = t_tuple_args(RangeTuple),
t_tuple([t_list(T1), t_sup(Acc, T2)])
end,
t_sup([Fun(ST) || ST <- t_tuple_subtypes(R)]);
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,
fun ([X, Y]) ->
Y1 = t_list_elements(Y),
case t_is_none(t_inf(Y1, X)) 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,
fun ([L1, L2]) ->
case t_is_none(L1) of
true -> L2;
false ->
case t_is_none(L2) of
true -> L1;
false -> t_sup(L1, L2)
end
end
end);
%% type(lists, merge, 3, Xs) ->
%% type(lists, merge3, 3, Xs) ->
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,
fun ([F, L]) ->
case t_is_nil(L) of
true -> t_tuple([L,L]);
false ->
El = t_list_elements(L),
case check_fun_application(F, [El]) of
error ->
case t_is_cons(L) of
true -> t_none();
false -> t_tuple([t_nil(), t_nil()])
end;
ok ->
case t_atom_vals(t_fun_range(F)) of
['true'] -> t_tuple([L, t_nil()]);
['false'] -> t_tuple([t_nil(), L]);
[_, _] ->
L2 = t_list(El),
t_tuple([L2, L2])
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) ->
type(erlang, '++', 2, Xs); % reverse-onto is just like append
type(lists, seq, 2, Xs) ->
strict(arg_types(lists, seq, 2), Xs, fun (_) -> t_list(t_integer()) end);
type(lists, seq, 3, Xs) ->
strict(arg_types(lists, seq, 3), Xs, fun (_) -> t_list(t_integer()) end);
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,
fun ([F, L]) ->
R = t_fun_range(F),
case t_is_boolean(R) of
true -> L;
false ->
case t_is_nil(L) of
true -> t_nil();
false -> t_none()
end
end
end);
type(lists, split, 2, Xs) ->
strict(arg_types(lists, split, 2), Xs,
fun ([_, L]) ->
case t_is_nil(L) of
true -> t_tuple([L, L]);
false ->
T = t_list_elements(L),
t_tuple([t_list(T), t_list(T)])
end
end);
type(lists, splitwith, 2, Xs) ->
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,
fun([F, L]) ->
case t_is_none(t_inf(t_list(), L)) of
false -> type(lists, filter, 2, Xs);
true ->
%% This works for non-proper lists as well.
El = t_list_elements(L),
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,
fun ([Ps]) ->
case t_is_nil(Ps) of
true ->
t_tuple([t_nil(), t_nil()]);
false -> % Ps is a proper list of pairs
TupleTypes = t_tuple_subtypes(t_list_elements(Ps)),
lists:foldl(fun(Tuple, Acc) ->
[A, B] = t_tuple_args(Tuple),
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,
fun ([Ts]) ->
case t_is_nil(Ts) 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)),
lists:foldl(fun(T, Acc) ->
[A, B, C] = t_tuple_args(T),
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,
fun ([As, Bs]) ->
case (t_is_nil(As) orelse t_is_nil(Bs)) of
true -> t_nil();
false ->
A = t_list_elements(As),
B = t_list_elements(Bs),
t_list(t_tuple([A, B]))
end
end);
type(lists, zip3, 3, Xs) ->
strict(arg_types(lists, zip3, 3), Xs,
fun ([As, Bs, Cs]) ->
case (t_is_nil(As) orelse t_is_nil(Bs) orelse t_is_nil(Cs)) of
true -> t_nil();
false ->
A = t_list_elements(As),
B = t_list_elements(Bs),
C = t_list_elements(Cs),
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);
%%-- math ---------------------------------------------------------------------
type(math, acos, 1, Xs) ->
strict(arg_types(math, acos, 1), Xs, fun (_) -> t_float() end);
type(math, acosh, 1, Xs) ->
strict(arg_types(math, acosh, 1), Xs, fun (_) -> t_float() end);
type(math, asin, 1, Xs) ->
strict(arg_types(math, asin, 1), Xs, fun (_) -> t_float() end);
type(math, asinh, 1, Xs) ->
strict(arg_types(math, asinh, 1), Xs, fun (_) -> t_float() end);
type(math, atan, 1, Xs) ->
strict(arg_types(math, atan, 1), Xs, fun (_) -> t_float() end);
type(math, atan2, 2, Xs) ->
strict(arg_types(math, atan2, 2), Xs, fun (_) -> t_float() end);
type(math, atanh, 1, Xs) ->
strict(arg_types(math, atanh, 1), Xs, fun (_) -> t_float() end);
type(math, cos, 1, Xs) ->
strict(arg_types(math, cos, 1), Xs, fun (_) -> t_float() end);
type(math, cosh, 1, Xs) ->
strict(arg_types(math, cosh, 1), Xs, fun (_) -> t_float() end);
type(math, erf, 1, Xs) ->
strict(arg_types(math, erf, 1), Xs, fun (_) -> t_float() end);
type(math, erfc, 1, Xs) ->
strict(arg_types(math, erfc, 1), Xs, fun (_) -> t_float() end);
type(math, exp, 1, Xs) ->
strict(arg_types(math, exp, 1), Xs, fun (_) -> t_float() end);
type(math, log, 1, Xs) ->
strict(arg_types(math, log, 1), Xs, fun (_) -> t_float() end);
type(math, log10, 1, Xs) ->
strict(arg_types(math, log10, 1), Xs, fun (_) -> t_float() end);
type(math, pi, 0, _) -> t_float();
type(math, pow, 2, Xs) ->
strict(arg_types(math, pow, 2), Xs, fun (_) -> t_float() end);
type(math, sin, 1, Xs) ->
strict(arg_types(math, sin, 1), Xs, fun (_) -> t_float() end);
type(math, sinh, 1, Xs) ->
strict(arg_types(math, sinh, 1), Xs, fun (_) -> t_float() end);
type(math, sqrt, 1, Xs) ->
strict(arg_types(math, sqrt, 1), Xs, fun (_) -> t_float() end);
type(math, tan, 1, Xs) ->
strict(arg_types(math, tan, 1), Xs, fun (_) -> t_float() end);
type(math, tanh, 1, Xs) ->
strict(arg_types(math, tanh, 1), Xs, fun (_) -> t_float() end);
%%-- net_kernel ---------------------------------------------------------------
type(net_kernel, dflag_unicode_io, 1, Xs) ->
strict(arg_types(net_kernel, dflag_unicode_io, 1), Xs,
fun (_) -> t_boolean() end);
%%-- ordsets ------------------------------------------------------------------
type(ordsets, filter, 2, Xs) ->
type(lists, filter, 2, Xs);
type(ordsets, fold, 3, Xs) ->
type(lists, foldl, 3, Xs);
%%-- os -----------------------------------------------------------------------
type(os, getenv, 0, _) -> t_list(t_string());
type(os, getenv, 1, Xs) ->
strict(arg_types(os, getenv, 1), Xs,
fun (_) -> t_sup(t_string(), t_atom('false')) end);
type(os, getpid, 0, _) -> t_string();
type(os, putenv, 2, Xs) ->
strict(arg_types(os, putenv, 2), Xs, fun (_) -> t_atom('true') end);
type(os, timestamp, 0, _) ->
t_time();
%%-- re -----------------------------------------------------------------------
type(re, compile, 1, Xs) ->
strict(arg_types(re, compile, 1), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_re_MP()]),
t_tuple([t_atom('error'), t_re_ErrorSpec()]))
end);
type(re, compile, 2, Xs) ->
strict(arg_types(re, compile, 2), Xs,
fun (_) ->
t_sup(t_tuple([t_atom('ok'), t_re_MP()]),
t_tuple([t_atom('error'), t_re_ErrorSpec()]))
end);
type(re, run, 2, Xs) ->
strict(arg_types(re, run, 2), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('match'), t_re_Captured()]),
t_atom('nomatch'),
t_tuple([t_atom('error'), t_re_ErrorSpec()])])
end);
type(re, run, 3, Xs) ->
strict(arg_types(re, run, 3), Xs,
fun (_) ->
t_sup([t_tuple([t_atom('match'), t_re_Captured()]),
t_atom('match'),
t_atom('nomatch'),
t_tuple([t_atom('error'), t_re_ErrorSpec()])])
end);
%%-- 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,
fun ([Char, N, Tail]) ->
case t_is_nil(Tail) of
true ->
type(string, chars, 2, [Char, N]);
false ->
case t_is_string(Tail) of
true ->
t_string();
false ->
t_sup(t_sup(t_string(), Tail), t_cons(Char, Tail))
end
end
end);
type(string, concat, 2, Xs) -> % NOTE: added to avoid loss of information
strict(arg_types(string, concat, 2), Xs, fun (_) -> t_string() end);
type(string, equal, 2, Xs) -> % NOTE: added to avoid loss of information
strict(arg_types(string, equal, 2), Xs, fun (_) -> t_boolean() end);
type(string, to_float, 1, Xs) ->
strict(arg_types(string, to_float, 1), Xs,
fun (_) -> t_sup(t_tuple([t_float(), t_string()]),
t_tuple([t_atom('error'),
t_sup(t_atom('no_float'),
t_atom('not_a_list'))]))
end);
type(string, to_integer, 1, Xs) ->
strict(arg_types(string, to_integer, 1), Xs,
fun (_) -> t_sup(t_tuple([t_integer(), t_string()]),
t_tuple([t_atom('error'),
t_sup(t_atom('no_integer'),
t_atom('not_a_list'))]))
end);
%%-- unicode ------------------------------------------------------------------
type(unicode, characters_to_binary, 2, Xs) ->
strict(arg_types(unicode, characters_to_binary, 2), Xs,
fun (_) ->
t_sup([t_binary(),
t_tuple([t_atom('error'), t_binary(), t_ML()]),
t_tuple([t_atom('incomplete'), t_binary(), t_ML()])])
end);
type(unicode, characters_to_list, 2, Xs) ->
strict(arg_types(unicode, characters_to_list, 2), Xs,
fun (_) ->
t_sup([t_string(),
t_tuple([t_atom('error'), t_string(), t_ML()]),
t_tuple([t_atom('incomplete'), t_string(), t_ML()])])
end);
type(unicode, bin_is_7bit, 1, Xs) ->
strict(arg_types(unicode, bin_is_7bit, 1), Xs, fun (_) -> t_boolean() end);
%%-----------------------------------------------------------------------------
type(M, F, A, Xs) when is_atom(M), is_atom(F),
is_integer(A), 0 =< A, A =< 255 ->
strict(Xs, t_any()). % safe approximation for all functions.
%%-----------------------------------------------------------------------------
%% Auxiliary functions
%%-----------------------------------------------------------------------------
strict(Xs, Ts, F) ->
%% io:format("inf lists arg~n1:~p~n2:~p ~n", [Xs, Ts]),
Xs1 = inf_lists(Xs, Ts),
%% io:format("inf lists return ~p ~n", [Xs1]),
case any_is_none_or_unit(Xs1) of
true -> t_none();
false -> F(Xs1)
end.
strict(Xs, X) ->
case any_is_none_or_unit(Xs) of
true -> t_none();
false -> X
end.
inf_lists([X | Xs], [T | Ts]) ->
[t_inf(X, T) | inf_lists(Xs, Ts)];
inf_lists([], []) ->
[].
any_list(N) -> any_list(N, t_any()).
any_list(N, A) when N > 0 ->
[A | any_list(N - 1, A)];
any_list(0, _) ->
[].
list_replace(N, E, [X | Xs]) when N > 1 ->
[X | list_replace(N - 1, E, Xs)];
list_replace(1, E, [_X | Xs]) ->
[E | Xs].
any_is_none_or_unit(Ts) ->
lists:any(fun erl_types:t_is_none_or_unit/1, Ts).
all_is_none(Ts) ->
lists:all(fun erl_types:t_is_none/1, Ts).
check_guard([X], Test, Type) ->
check_guard_single(X, Test, Type).
check_guard_single(X, Test, Type) ->
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
end
end.
%%-----------------------------------------------------------------------------
%% Functions for range analysis
%%-----------------------------------------------------------------------------
infinity_max([]) -> empty;
infinity_max([H|T]) ->
if H =:= empty ->
infinity_max(T);
true ->
lists:foldl(
fun (Elem, Max) ->
Geq = infinity_geq(Elem, Max),
if not Geq orelse (Elem =:= empty) ->
Max;
true ->
Elem
end
end,
H,
T)
end.
infinity_min([]) -> empty;
infinity_min([H|T]) ->
if H =:= empty ->
infinity_min(T);
true ->
lists:foldl(fun (Elem, Min) ->
Geq = infinity_geq(Elem, Min),
if Geq orelse (Elem =:= empty) ->
Min;
true ->
Elem
end
end,
H,
T)
end.
-type inf_integer() :: 'neg_inf' | 'pos_inf' | integer().
-spec infinity_abs('pos_inf' | 'neg_inf') -> 'pos_inf'
; (integer()) -> non_neg_integer().
infinity_abs(pos_inf) -> pos_inf;
infinity_abs(neg_inf) -> pos_inf;
infinity_abs(Number) when is_integer(Number) -> abs(Number).
%% span_zero(Range) ->
%% infinity_geq(0, number_min(Range)) and infinity_geq(number_max(Range), 0).
infinity_inv(pos_inf) -> neg_inf;
infinity_inv(neg_inf) -> pos_inf;
infinity_inv(Number) when is_integer(Number) -> -Number.
infinity_band(neg_inf, Type2) -> Type2;
%% infinity_band(Type1, neg_inf) -> Type1;
infinity_band(pos_inf, Type2) -> Type2;
%% infinity_band(Type1, pos_inf) -> Type1;
infinity_band(Type1, Type2) when is_integer(Type1), is_integer(Type2) ->
Type1 band Type2.
infinity_bor(neg_inf, _Type2) -> neg_inf;
%% infinity_bor(_Type1, neg_inf) -> neg_inf;
infinity_bor(pos_inf, _Type2) -> pos_inf;
%% infinity_bor(_Type1, pos_inf) -> pos_inf;
infinity_bor(Type1, Type2) when is_integer(Type1), is_integer(Type2) ->
Type1 bor Type2.
infinity_div(pos_inf, pos_inf) -> [0, pos_inf];
infinity_div(pos_inf, neg_inf) -> [neg_inf, 0];
infinity_div(neg_inf, neg_inf) -> [0, pos_inf];
infinity_div(neg_inf, pos_inf) -> [neg_inf, 0];
infinity_div(pos_inf, Number) when is_integer(Number), Number > 0 -> pos_inf;
infinity_div(pos_inf, Number) when is_integer(Number), Number < 0 -> neg_inf;
infinity_div(neg_inf, Number) when is_integer(Number), Number > 0 -> neg_inf;
infinity_div(neg_inf, Number) when is_integer(Number), Number < 0 -> pos_inf;
infinity_div(Number, pos_inf) when is_integer(Number), Number >= 0 -> pos_inf;
infinity_div(Number, pos_inf) when is_integer(Number), Number < 0 -> neg_inf;
infinity_div(Number, neg_inf) when is_integer(Number), Number >= 0 -> neg_inf;
infinity_div(Number, neg_inf) when is_integer(Number), Number < 0 -> pos_inf;
infinity_div(Number1, Number2) when is_integer(Number1), is_integer(Number2) ->
Number1 div Number2.
infinity_bsl(pos_inf, _) -> pos_inf;
infinity_bsl(neg_inf, _) -> neg_inf;
infinity_bsl(Number, pos_inf) when is_integer(Number), Number >= 0 -> pos_inf;
infinity_bsl(Number, pos_inf) when is_integer(Number) -> neg_inf;
infinity_bsl(Number, neg_inf) when is_integer(Number), Number >= 0 -> 0;
infinity_bsl(Number, neg_inf) when is_integer(Number) -> -1;
infinity_bsl(Number1, Number2) when is_integer(Number1), is_integer(Number2) ->
Bits = ?BITS,
if Number2 > (Bits * 2) -> infinity_bsl(Number1, pos_inf);
Number2 < (-Bits * 2) -> infinity_bsl(Number1, neg_inf);
true -> Number1 bsl Number2
end.
infinity_geq(pos_inf, _) -> true;
infinity_geq(_, pos_inf) -> false;
infinity_geq(_, neg_inf) -> true;
infinity_geq(neg_inf, _) -> false;
infinity_geq(A, B) when is_integer(A), is_integer(B) -> A >= B.
-spec infinity_add(inf_integer(), inf_integer()) -> inf_integer().
infinity_add(pos_inf, _Number) -> pos_inf;
infinity_add(neg_inf, _Number) -> neg_inf;
infinity_add(_Number, pos_inf) -> pos_inf;
infinity_add(_Number, neg_inf) -> neg_inf;
infinity_add(Number1, Number2) when is_integer(Number1), is_integer(Number2) ->
Number1 + Number2.
infinity_mult(neg_inf, Number) ->
Greater = infinity_geq(Number, 0),
if Greater -> neg_inf;
true -> pos_inf
end;
infinity_mult(pos_inf, Number) -> infinity_inv(infinity_mult(neg_inf, Number));
infinity_mult(Number, pos_inf) -> infinity_inv(infinity_mult(neg_inf, Number));
infinity_mult(Number, neg_inf) -> infinity_mult(neg_inf, Number);
infinity_mult(Number1, Number2) when is_integer(Number1), is_integer(Number2)->
Number1 * Number2.
width({Min, Max}) -> infinity_max([width(Min), width(Max)]);
width(pos_inf) -> pos_inf;
width(neg_inf) -> pos_inf;
width(X) when is_integer(X), X >= 0 -> poswidth(X, 0);
width(X) when is_integer(X), X < 0 -> negwidth(X, 0).
poswidth(X, N) ->
case X < (1 bsl N) of
true -> N;
false -> poswidth(X, N+1)
end.
negwidth(X, N) ->
case X >= (-1 bsl N) of
true -> N;
false -> negwidth(X, N+1)
end.
arith('bnot', X1) ->
case t_is_integer(X1) of
false -> error;
true ->
Min1 = number_min(X1),
Max1 = number_max(X1),
{ok, t_from_range(infinity_add(infinity_inv(Max1), -1),
infinity_add(infinity_inv(Min1), -1))}
end.
arith_mult(Min1, Max1, Min2, Max2) ->
Tmp_list = [infinity_mult(Min1, Min2), infinity_mult(Min1, Max2),
infinity_mult(Max1, Min2), infinity_mult(Max1, Max2)],
{infinity_min(Tmp_list), infinity_max(Tmp_list)}.
arith_div(_Min1, _Max1, 0, 0) ->
%% Signal failure.
{pos_inf, neg_inf};
arith_div(Min1, Max1, Min2, Max2) ->
%% 0 is not an accepted divisor.
NewMin2 = if Min2 =:= 0 -> 1;
true -> Min2
end,
NewMax2 = if Max2 =:= 0 -> -1;
true -> Max2
end,
Tmp_list = lists:flatten([infinity_div(Min1, NewMin2),
infinity_div(Min1, NewMax2),
infinity_div(Max1, NewMin2),
infinity_div(Max1, NewMax2)]),
{infinity_min(Tmp_list), infinity_max(Tmp_list)}.
arith_rem(Min1, Max1, Min2, Max2) ->
Min1_geq_zero = infinity_geq(Min1, 0),
Max1_leq_zero = infinity_geq(0, Max1),
Max_range2 = infinity_max([infinity_abs(Min2), infinity_abs(Max2)]),
Max_range2_leq_zero = infinity_geq(0, Max_range2),
New_min =
if Min1_geq_zero -> 0;
Max_range2 =:= 0 -> 0;
Max_range2_leq_zero -> infinity_add(Max_range2, 1);
true -> infinity_add(infinity_inv(Max_range2), 1)
end,
New_max =
if Max1_leq_zero -> 0;
Max_range2 =:= 0 -> 0;
Max_range2_leq_zero -> infinity_add(infinity_inv(Max_range2), -1);
true -> infinity_add(Max_range2, -1)
end,
{New_min, New_max}.
arith_bsl(Min1, Max1, Min2, Max2) ->
case infinity_geq(Min1, 0) of
true -> {infinity_bsl(Min1, Min2), infinity_bsl(Max1, Max2)};
false ->
case infinity_geq(Max1, 0) of
true -> {infinity_bsl(Min1, Max2), infinity_bsl(Max1, Max2)};
false -> {infinity_bsl(Min1, Max2), infinity_bsl(Max2, Min2)}
end
end.
arith_band_range_set({Min, Max}, [Int|IntList]) ->
SafeAnd = lists:foldl(
fun (IntFromSet, SafeAndAcc) ->
IntFromSet bor SafeAndAcc
end,
Int,
IntList),
{infinity_band(Min, SafeAnd), infinity_band(Max, SafeAnd)}.
arith_bor_range_set({Min, Max}, [Int|IntList]) ->
SafeAnd = lists:foldl(
fun (IntFromSet, SafeAndAcc) ->
IntFromSet band SafeAndAcc
end,
Int,
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),
case {L1 =:= unknown, L2 =:= unknown} of
{true, false} ->
arith_band_range_set(arith_band_ranges(Min1, Max1, Min2, Max2), L2);
{false, true} ->
arith_band_range_set(arith_band_ranges(Min1, Max1, Min2, Max2), L1);
{true, true} ->
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),
case {L1 =:= unknown, L2 =:= unknown} of
{true, false} ->
arith_bor_range_set(arith_bor_ranges(Min1, Max1, Min2, Max2), L2);
{false, true} ->
arith_bor_range_set(arith_bor_ranges(Min1, Max1, Min2, Max2), L1);
{true, true} ->
arith_bor_ranges(Min1, Max1, Min2, Max2)
end.
arith_band_ranges(Min1, Max1, Min2, Max2) ->
Width = infinity_min([width({Min1, Max1}), width({Min2, Max2})]),
Min =
case infinity_geq(Min1, 0) orelse infinity_geq(Min2, 0) of
true -> 0;
false -> infinity_bsl(-1, Width)
end,
Max =
case infinity_geq(Max1, 0) orelse infinity_geq(Max2, 0) of
true -> infinity_add(infinity_bsl(1, Width), -1);
false -> 0
end,
{Min, Max}.
arith_bor_ranges(Min1, Max1, Min2, Max2) ->
Width = infinity_max([width({Min1, Max1}), width({Min2, Max2})]),
Min =
case infinity_geq(Min1, 0) andalso infinity_geq(Min2, 0) of
true -> 0;
false -> infinity_bsl(-1, Width)
end,
Max =
case infinity_geq(Max1, 0) andalso infinity_geq(Max2, 0) of
true -> infinity_add(infinity_bsl(1, Width), -1);
false -> -1
end,
{Min, Max}.
arith(Op, X1, X2) ->
%% io:format("arith ~p ~p ~p~n", [Op, X1, X2]),
case t_is_integer(X1) andalso t_is_integer(X2) of
false -> error;
true ->
L1 = t_number_vals(X1),
L2 = t_number_vals(X2),
case (L1 =:= unknown) orelse (L2 =:= unknown) of
true ->
Min1 = number_min(X1),
Max1 = number_max(X1),
Min2 = number_min(X2),
Max2 = number_max(X2),
{NewMin, NewMax} =
case Op of
'+' -> {infinity_add(Min1, Min2), infinity_add(Max1, Max2)};
'-' -> {infinity_add(Min1, infinity_inv(Max2)),
infinity_add(Max1, infinity_inv(Min2))};
'*' -> arith_mult(Min1, Max1, Min2, Max2);
'div' -> arith_div(Min1, Max1, Min2, Max2);
'rem' -> arith_rem(Min1, Max1, Min2, Max2);
'bsl' -> arith_bsl(Min1, Max1, Min2, Max2);
'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);
'bxor' -> arith_bor_ranges(Min1, Max1, Min2, Max2) %% overaprox.
end,
%% io:format("done arith ~p = ~p~n", [Op, {NewMin, NewMax}]),
{ok, t_from_range(NewMin, NewMax)};
false ->
%% Some of these arithmetic operations might throw a system_limit
%% exception; for example, when trying to evaluate 1 bsl 100000000.
try case Op of
'+' -> [X + Y || X <- L1, Y <- L2];
'-' -> [X - Y || X <- L1, Y <- L2];
'*' -> [X * Y || X <- L1, Y <- L2];
'div' -> [X div Y || X <- L1, Y <- L2, Y =/= 0];
'rem' -> [X rem Y || X <- L1, Y <- L2, Y =/= 0];
'bsl' -> [X bsl Y || X <- L1, Y <- L2];
'bsr' -> [X bsr Y || X <- L1, Y <- L2];
'band' -> [X band Y || X <- L1, Y <- L2];
'bor' -> [X bor Y || X <- L1, Y <- L2];
'bxor' -> [X bxor Y || X <- L1, Y <- L2]
end of
AllVals ->
{ok, t_integers(ordsets:from_list(AllVals))}
catch
error:system_limit -> error
end
end
end.
%%=============================================================================
-spec arg_types(atom(), atom(), arity()) -> [erl_types:erl_type()] | 'unknown'.
%%------- binary --------------------------------------------------------------
arg_types(binary, at, 2) ->
[t_binary(), t_non_neg_integer()];
arg_types(binary, bin_to_list, 1) ->
[t_binary()];
arg_types(binary, bin_to_list, 2) ->
[t_binary(), t_binary_part()];
arg_types(binary, bin_to_list, 3) ->
[t_binary(), t_integer(), t_non_neg_integer()];
arg_types(binary, compile_pattern, 1) ->
[t_sup(t_binary(), t_list(t_binary()))];
arg_types(binary, copy, 1) ->
[t_binary()];
arg_types(binary, copy, 2) ->
[t_binary(), t_non_neg_integer()];
arg_types(binary, decode_unsigned, 1) ->
[t_binary()];
arg_types(binary, decode_unsigned, 2) ->
[t_binary(), t_endian()];
arg_types(binary, encode_unsigned, 1) ->
[t_non_neg_integer()];
arg_types(binary, encode_unsigned, 2) ->
[t_non_neg_integer(), t_endian()];
arg_types(binary, first, 1) ->
[t_binary()];
arg_types(binary, last, 1) ->
[t_binary()];
arg_types(binary, list_to_bin, 1) ->
arg_types(erlang, list_to_binary, 1);
arg_types(binary, longest_common_prefix, 1) ->
[t_list(t_binary())];
arg_types(binary, longest_common_suffix, 1) ->
[t_list(t_binary())];
arg_types(binary, match, 2) ->
[t_binary(), t_binary_pattern()];
arg_types(binary, match, 3) ->
[t_binary(), t_binary_pattern(), t_binary_options()];
arg_types(binary, matches, 2) ->
[t_binary(), t_binary_pattern()];
arg_types(binary, matches, 3) ->
[t_binary(), t_binary_pattern(), t_binary_options()];
arg_types(binary, part, 2) ->
arg_types(erlang, binary_part, 2);
arg_types(binary, part, 3) ->
arg_types(erlang, binary_part, 3);
arg_types(binary, referenced_byte_size, 1) ->
[t_binary()];
%%------- code ----------------------------------------------------------------
arg_types(code, add_path, 1) ->
[t_string()];
arg_types(code, add_patha, 1) ->
arg_types(code, add_path, 1);
arg_types(code, add_paths, 1) ->
[t_list(t_string())];
arg_types(code, add_pathsa, 1) ->
arg_types(code, add_paths, 1);
arg_types(code, add_pathsz, 1) ->
arg_types(code, add_paths, 1);
arg_types(code, add_pathz, 1) ->
arg_types(code, add_path, 1);
arg_types(code, all_loaded, 0) ->
[];
arg_types(code, compiler_dir, 0) ->
[];
arg_types(code, del_path, 1) ->
[t_sup(t_string(), t_atom())]; % OBS: doc differs from add_path/1 - why?
arg_types(code, delete, 1) ->
[t_atom()];
arg_types(code, ensure_loaded, 1) ->
arg_types(code, load_file, 1);
arg_types(code, get_chunk, 2) ->
[t_binary(), t_string()];
arg_types(code, get_object_code, 1) ->
[t_atom()];
arg_types(code, get_path, 0) ->
[];
arg_types(code, is_loaded, 1) ->
[t_atom()];
arg_types(code, is_sticky, 1) ->
[t_atom()];
arg_types(code, is_module_native, 1) ->
[t_atom()];
arg_types(code, lib_dir, 0) ->
[];
arg_types(code, lib_dir, 1) ->
[t_atom()];
arg_types(code, load_abs, 1) ->
[t_string()];
arg_types(code, load_abs, 2) ->
[t_code_loaded_fname_or_status(), t_atom()];
arg_types(code, load_binary, 3) ->
[t_atom(), t_code_loaded_fname_or_status(), t_binary()];
arg_types(code, load_file, 1) ->
[t_atom()];
arg_types(code, load_native_partial, 2) ->
[t_atom(), t_binary()];
arg_types(code, load_native_sticky, 3) ->
[t_atom(), t_binary(), t_sup(t_binary(), t_atom('false'))];
arg_types(code, module_md5, 1) ->
[t_binary()];
arg_types(code, make_stub_module, 3) ->
[t_atom(), t_binary(), t_tuple([t_list(), t_list()])];
arg_types(code, priv_dir, 1) ->
[t_atom()];
arg_types(code, purge, 1) ->
arg_types(code, delete, 1);
arg_types(code, rehash, 0) ->
[];
arg_types(code, replace_path, 2) ->
[t_atom(), t_string()];
arg_types(code, root_dir, 0) ->
[];
arg_types(code, set_path, 1) ->
[t_string()];
arg_types(code, soft_purge, 1) ->
arg_types(code, delete, 1);
arg_types(code, stick_mod, 1) ->
[t_atom()];
arg_types(code, unstick_mod, 1) ->
arg_types(code, stick_mod, 1);
arg_types(code, which, 1) ->
[t_atom()];
%%------- erl_ddll ------------------------------------------------------------
arg_types(erl_ddll, demonitor, 1) ->
arg_types(erlang, demonitor, 1);
arg_types(erl_ddll, format_error_int, 1) ->
[t_sup([t_atom('inconsistent'),
t_atom('linked_in_driver'),
t_atom('permanent'),
t_atom('not_loaded'),
t_atom('not_loaded_by_this_process'),
t_atom('not_pending'),
t_atom('already_loaded'),
t_atom('unloading')])];
arg_types(erl_ddll, info, 2) ->
[t_sup([t_atom(), t_string()]),
t_sup([t_atom('awaiting_load'),
t_atom('awaiting_unload'),
t_atom('driver_options'),
t_atom('linked_in_driver'),
t_atom('permanent'),
t_atom('port_count'),
t_atom('processes')])];
arg_types(erl_ddll, loaded_drivers, 0) ->
[];
arg_types(erl_ddll, monitor, 2) ->
[t_atom('driver'),
t_tuple([t_atom(), t_sup([t_atom('loaded'), t_atom('unloaded')])])];
arg_types(erl_ddll, try_load, 3) ->
[t_sup([t_atom(), t_string(), t_nonempty_list(t_sup([t_atom(), t_string()]))]),
t_sup([t_atom(), t_string()]),
t_list(t_sup([t_tuple([t_atom('driver_options'),
t_list(t_atom('kill_ports'))]),
t_tuple([t_atom('monitor'),
t_sup([t_atom('pending_driver'),
t_atom('pending')])]),
t_tuple([t_atom('reload'),
t_sup([t_atom('pending_driver'),
t_atom('pending')])])]))];
arg_types(erl_ddll, try_unload, 2) ->
[t_sup([t_atom(), t_string(), t_nonempty_list(t_sup([t_atom(), t_string()]))]),
t_list(t_sup([t_atom('kill_ports'),
t_tuple([t_atom('monitor'),
t_sup([t_atom('pending_driver'),
t_atom('pending')])])]))];
%%------- erlang --------------------------------------------------------------
arg_types(erlang, '!', 2) ->
Pid = t_sup([t_pid(), t_port(), t_atom(),
t_tuple([t_atom(), t_node()])]),
[Pid, t_any()];
arg_types(erlang, '==', 2) ->
[t_any(), t_any()];
arg_types(erlang, '/=', 2) ->
[t_any(), t_any()];
arg_types(erlang, '=:=', 2) ->
[t_any(), t_any()];
arg_types(erlang, '=/=', 2) ->
[t_any(), t_any()];
arg_types(erlang, '>', 2) ->
[t_any(), t_any()];
arg_types(erlang, '>=', 2) ->
[t_any(), t_any()];
arg_types(erlang, '<', 2) ->
[t_any(), t_any()];
arg_types(erlang, '=<', 2) ->
[t_any(), t_any()];
arg_types(erlang, '+', 1) ->
[t_number()];
arg_types(erlang, '+', 2) ->
[t_number(), t_number()];
arg_types(erlang, '++', 2) ->
[t_list(), t_any()];
arg_types(erlang, '-', 1) ->
[t_number()];
arg_types(erlang, '-', 2) ->
[t_number(), t_number()];
arg_types(erlang, '--', 2) ->
[t_list(), t_list()];
arg_types(erlang, '*', 2) ->
[t_number(), t_number()];
arg_types(erlang, '/', 2) ->
[t_number(), t_number()];
arg_types(erlang, 'div', 2) ->
[t_integer(), t_integer()];
arg_types(erlang, 'rem', 2) ->
[t_integer(), t_integer()];
arg_types(erlang, 'and', 2) ->
[t_boolean(), t_boolean()];
arg_types(erlang, 'or', 2) ->
[t_boolean(), t_boolean()];
arg_types(erlang, 'xor', 2) ->
[t_boolean(), t_boolean()];
arg_types(erlang, 'not', 1) ->
[t_boolean()];
arg_types(erlang, 'band', 2) ->
[t_integer(), t_integer()];
arg_types(erlang, 'bor', 2) ->
[t_integer(), t_integer()];
arg_types(erlang, 'bxor', 2) ->
[t_integer(), t_integer()];
arg_types(erlang, 'bsr', 2) ->
[t_integer(), t_integer()];
arg_types(erlang, 'bsl', 2) ->
[t_integer(), t_integer()];
arg_types(erlang, 'bnot', 1) ->
[t_integer()];
arg_types(erlang, abs, 1) ->
[t_number()];
arg_types(erlang, adler32, 1) ->
[t_iodata()];
arg_types(erlang, adler32, 2) ->
[t_adler32(), t_iodata()];
arg_types(erlang, adler32_combine, 3) ->
[t_adler32(), t_adler32(), t_non_neg_integer()];
arg_types(erlang, append, 2) ->
arg_types(erlang, '++', 2);
arg_types(erlang, append_element, 2) ->
[t_tuple(), t_any()];
arg_types(erlang, apply, 2) ->
[t_sup(t_tuple([t_module(),
t_atom()]),
t_fun()),
t_list()];
arg_types(erlang, apply, 3) ->
[t_sup(t_atom(), t_tuple()), t_atom(), t_list()];
arg_types(erlang, atom_to_binary, 2) ->
[t_atom(), t_encoding_a2b()];
arg_types(erlang, atom_to_list, 1) ->
[t_atom()];
arg_types(erlang, binary_part, 2) ->
[t_binary(), t_tuple([t_integer(),t_integer()])];
arg_types(erlang, binary_part, 3) ->
[t_binary(), t_integer(), t_integer()];
arg_types(erlang, binary_to_atom, 2) ->
[t_binary(), t_encoding_a2b()];
arg_types(erlang, binary_to_existing_atom, 2) ->
arg_types(erlang, binary_to_atom, 2);
arg_types(erlang, binary_to_list, 1) ->
[t_binary()];
arg_types(erlang, binary_to_list, 3) ->
[t_binary(), t_pos_integer(), t_pos_integer()]; % I want fixnum, but cannot
arg_types(erlang, binary_to_term, 1) ->
[t_binary()];
arg_types(erlang, binary_to_term, 2) ->
[t_binary(), t_list(t_atom('safe'))];
arg_types(erlang, bitsize, 1) -> % XXX: TAKE OUT
arg_types(erlang, bit_size, 1);
arg_types(erlang, bit_size, 1) ->
[t_bitstr()];
arg_types(erlang, bitstr_to_list, 1) -> % XXX: TAKE OUT
arg_types(erlang, bitstring_to_list, 1);
arg_types(erlang, bitstring_to_list, 1) ->
[t_bitstr()];
arg_types(erlang, bump_reductions, 1) ->
[t_pos_fixnum()];
arg_types(erlang, byte_size, 1) ->
[t_binary()];
arg_types(erlang, call_on_load_function, 1) ->
[t_atom()];
arg_types(erlang, cancel_timer, 1) ->
[t_reference()];
arg_types(erlang, check_process_code, 2) ->
[t_pid(), t_atom()];
arg_types(erlang, concat_binary, 1) ->
[t_list(t_binary())];
arg_types(erlang, crc32, 1) ->
[t_iodata()];
arg_types(erlang, crc32, 2) ->
[t_crc32(), t_iodata()];
arg_types(erlang, crc32_combine, 3) ->
[t_crc32(), t_crc32(), t_non_neg_integer()];
arg_types(erlang, date, 0) ->
[];
arg_types(erlang, decode_packet, 3) ->
[t_decode_packet_type(), t_binary(), t_list(t_decode_packet_option())];
arg_types(erlang, delete_module, 1) ->
[t_atom()];
arg_types(erlang, demonitor, 1) ->
[t_reference()];
arg_types(erlang, demonitor, 2) ->
[t_reference(), t_list(t_atoms(['flush', 'info']))];
arg_types(erlang, disconnect_node, 1) ->
[t_node()];
arg_types(erlang, display, 1) ->
[t_any()];
arg_types(erlang, display_nl, 0) ->
[];
arg_types(erlang, display_string, 1) ->
[t_string()];
arg_types(erlang, dist_exit, 3) ->
[t_pid(), t_dist_exit(), t_sup(t_pid(), t_port())];
arg_types(erlang, element, 2) ->
[t_pos_fixnum(), t_tuple()];
arg_types(erlang, erase, 0) ->
[];
arg_types(erlang, erase, 1) ->
[t_any()];
arg_types(erlang, error, 1) ->
[t_any()];
arg_types(erlang, error, 2) ->
[t_any(), t_list()];
arg_types(erlang, exit, 1) ->
[t_any()];
arg_types(erlang, exit, 2) ->
[t_sup(t_pid(), t_port()), t_any()];
arg_types(erlang, external_size, 1) ->
[t_any()]; % takes any term as input
arg_types(erlang, finish_after_on_load, 2) ->
[t_atom(), t_boolean()];
arg_types(erlang, float, 1) ->
[t_number()];
arg_types(erlang, float_to_list, 1) ->
[t_float()];
arg_types(erlang, function_exported, 3) ->
[t_atom(), t_atom(), t_arity()];
arg_types(erlang, fun_info, 1) ->
[t_fun()];
arg_types(erlang, fun_info, 2) ->
[t_fun(), t_atom()];
arg_types(erlang, fun_to_list, 1) ->
[t_fun()];
arg_types(erlang, garbage_collect, 0) ->
[];
arg_types(erlang, garbage_collect, 1) ->
[t_pid()];
arg_types(erlang, garbage_collect_message_area, 0) ->
[];
arg_types(erlang, get, 0) ->
[];
arg_types(erlang, get, 1) ->
[t_any()];
arg_types(erlang, get_cookie, 0) ->
[];
arg_types(erlang, get_keys, 1) ->
[t_any()];
arg_types(erlang, get_stacktrace, 0) ->
[];
arg_types(erlang, get_module_info, 1) ->
[t_atom()];
arg_types(erlang, get_module_info, 2) ->
[t_atom(), t_module_info_2()];
arg_types(erlang, group_leader, 0) ->
[];
arg_types(erlang, group_leader, 2) ->
[t_pid(), t_pid()];
arg_types(erlang, halt, 0) ->
[];
arg_types(erlang, halt, 1) ->
[t_sup(t_non_neg_fixnum(), t_string())];
arg_types(erlang, hash, 2) ->
[t_any(), t_integer()];
arg_types(erlang, hd, 1) ->
[t_cons()];
arg_types(erlang, hibernate, 3) ->
[t_atom(), t_atom(), t_list()];
arg_types(erlang, info, 1) ->
arg_types(erlang, system_info, 1); % alias
arg_types(erlang, iolist_to_binary, 1) ->
[t_sup(t_iolist(), t_binary())];
arg_types(erlang, iolist_size, 1) ->
[t_sup(t_iolist(), t_binary())];
arg_types(erlang, integer_to_list, 1) ->
[t_integer()];
arg_types(erlang, integer_to_list, 2) ->
[t_integer(), t_from_range(2, 36)];
arg_types(erlang, is_alive, 0) ->
[];
arg_types(erlang, is_atom, 1) ->
[t_any()];
arg_types(erlang, is_binary, 1) ->
[t_any()];
arg_types(erlang, is_bitstr, 1) -> % XXX: TAKE OUT
arg_types(erlang, is_bitstring, 1);
arg_types(erlang, is_bitstring, 1) ->
[t_any()];
arg_types(erlang, is_boolean, 1) ->
[t_any()];
arg_types(erlang, is_builtin, 3) ->
[t_atom(), t_atom(), t_arity()];
arg_types(erlang, is_constant, 1) ->
[t_any()];
arg_types(erlang, is_float, 1) ->
[t_any()];
arg_types(erlang, is_function, 1) ->
[t_any()];
arg_types(erlang, is_function, 2) ->
[t_any(), t_arity()];
arg_types(erlang, is_integer, 1) ->
[t_any()];
arg_types(erlang, is_list, 1) ->
[t_any()];
arg_types(erlang, is_number, 1) ->
[t_any()];
arg_types(erlang, is_pid, 1) ->
[t_any()];
arg_types(erlang, is_port, 1) ->
[t_any()];
arg_types(erlang, is_process_alive, 1) ->
[t_pid()];
arg_types(erlang, is_record, 2) ->
[t_any(), t_atom()];
arg_types(erlang, is_record, 3) ->
[t_any(), t_atom(), t_pos_fixnum()];
arg_types(erlang, is_reference, 1) ->
[t_any()];
arg_types(erlang, is_tuple, 1) ->
[t_any()];
arg_types(erlang, length, 1) ->
[t_list()];
arg_types(erlang, link, 1) ->
[t_sup(t_pid(), t_port())];
arg_types(erlang, list_to_atom, 1) ->
[t_string()];
arg_types(erlang, list_to_binary, 1) ->
[t_iolist()];
arg_types(erlang, list_to_bitstr, 1) -> % XXX: TAKE OUT
arg_types(erlang, list_to_bitstring, 1);
arg_types(erlang, list_to_bitstring, 1) ->
[t_iolist()];
arg_types(erlang, list_to_existing_atom, 1) ->
[t_string()];
arg_types(erlang, list_to_float, 1) ->
[t_list(t_byte())];
arg_types(erlang, list_to_integer, 1) ->
[t_list(t_byte())];
arg_types(erlang, list_to_integer, 2) ->
[t_list(t_byte()), t_from_range(2, 36)];
arg_types(erlang, list_to_pid, 1) ->
[t_string()];
arg_types(erlang, list_to_tuple, 1) ->
[t_list()];
arg_types(erlang, load_module, 2) ->
[t_atom(), t_binary()];
arg_types(erlang, load_nif, 2) ->
[t_string(), t_any()];
arg_types(erlang, loaded, 0) ->
[];
arg_types(erlang, localtime, 0) ->
[];
arg_types(erlang, localtime_to_universaltime, 1) ->
[t_tuple([t_date(), t_time()])];
arg_types(erlang, localtime_to_universaltime, 2) ->
arg_types(erlang, localtime_to_universaltime, 1) ++
[t_sup(t_boolean(), t_atom('undefined'))];
arg_types(erlang, make_fun, 3) ->
[t_atom(), t_atom(), t_arity()];
arg_types(erlang, make_ref, 0) ->
[];
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) ->
[t_non_neg_fixnum(), t_any(), t_list(t_tuple([t_pos_integer(), t_any()]))];
arg_types(erlang, match_spec_test, 3) ->
[t_sup(t_list(), t_tuple()),
t_any(),
t_sup(t_atom('table'), t_atom('trace'))];
arg_types(erlang, md5, 1) ->
[t_sup(t_iolist(), t_binary())];
arg_types(erlang, md5_final, 1) ->
[t_binary()];
arg_types(erlang, md5_init, 0) ->
[];
arg_types(erlang, md5_update, 2) ->
[t_binary(), t_sup(t_iolist(), t_binary())];
arg_types(erlang, memory, 0) ->
[];
arg_types(erlang, memory, 1) ->
Arg = t_atoms(['total', 'processes', 'processes_used', 'system',
'atom', 'atom_used', 'binary', 'code', 'ets',
'maximum']),
[t_sup(Arg, t_list(Arg))];
arg_types(erlang, module_loaded, 1) ->
[t_atom()];
arg_types(erlang, monitor, 2) ->
[t_atom(), t_sup([t_pid(), t_atom(), t_tuple([t_atom(), t_node()])])];
arg_types(erlang, monitor_node, 2) ->
[t_node(), t_boolean()];
arg_types(erlang, monitor_node, 3) ->
[t_node(), t_boolean(), t_list(t_atom('allow_passive_connect'))];
arg_types(erlang, nif_error, 1) ->
[t_any()];
arg_types(erlang, nif_error, 2) ->
[t_any(), t_list()];
arg_types(erlang, node, 0) ->
[];
arg_types(erlang, node, 1) ->
[t_identifier()];
arg_types(erlang, nodes, 0) ->
[];
arg_types(erlang, nodes, 1) ->
NodesArg = t_atoms(['visible', 'hidden', 'connected', 'this', 'known']),
[t_sup(NodesArg, t_list(NodesArg))];
arg_types(erlang, now, 0) ->
[];
arg_types(erlang, open_port, 2) ->
[t_sup(t_atom(), t_sup([t_tuple([t_atom('spawn'), t_string()]),
t_tuple([t_atom('spawn_driver'), t_string()]),
t_tuple([t_atom('spawn_executable'), t_string()]),
t_tuple([t_atom('fd'), t_integer(), t_integer()])])),
t_list(t_sup(t_sup([t_atom('stream'),
t_atom('exit_status'),
t_atom('use_stdio'),
t_atom('nouse_stdio'),
t_atom('stderr_to_stdout'),
t_atom('in'),
t_atom('out'),
t_atom('binary'),
t_atom('eof'),
t_atom('hide')]),
t_sup([t_tuple([t_atom('packet'), t_integer()]),
t_tuple([t_atom('line'), t_integer()]),
t_tuple([t_atom('cd'), t_string()]),
t_tuple([t_atom('env'), t_list(t_tuple(2))]), % XXX: More
t_tuple([t_atom('args'), t_list(t_string())]),
t_tuple([t_atom('arg0'), t_string()])])))];
arg_types(erlang, phash, 2) ->
[t_any(), t_pos_integer()];
arg_types(erlang, phash2, 1) ->
[t_any()];
arg_types(erlang, phash2, 2) ->
[t_any(), t_pos_integer()];
arg_types(erlang, pid_to_list, 1) ->
[t_pid()];
arg_types(erlang, port_call, 2) ->
[t_sup(t_port(), t_atom()), t_any()];
arg_types(erlang, port_call, 3) ->
[t_sup(t_port(), t_atom()), t_integer(), t_any()];
arg_types(erlang, port_close, 1) ->
[t_sup(t_port(), t_atom())];
arg_types(erlang, port_command, 2) ->
[t_sup(t_port(), t_atom()), t_sup(t_iolist(), t_binary())];
arg_types(erlang, port_command, 3) ->
[t_sup(t_port(), t_atom()),
t_sup(t_iolist(), t_binary()),
t_list(t_atoms(['force', 'nosuspend']))];
arg_types(erlang, port_connect, 2) ->
[t_sup(t_port(), t_atom()), t_pid()];
arg_types(erlang, port_control, 3) ->
[t_sup(t_port(), t_atom()), t_integer(), t_sup(t_iolist(), t_binary())];
arg_types(erlang, port_get_data, 1) ->
[t_sup(t_port(), t_atom())];
arg_types(erlang, port_info, 1) ->
[t_sup(t_port(), t_atom())];
arg_types(erlang, port_info, 2) ->
[t_sup(t_port(), t_atom()),
t_atoms(['registered_name', 'id', 'connected',
'links', 'name', 'input', 'output'])];
arg_types(erlang, port_to_list, 1) ->
[t_port()];
arg_types(erlang, ports, 0) ->
[];
arg_types(erlang, port_set_data, 2) ->
[t_sup(t_port(), t_atom()), t_any()];
arg_types(erlang, pre_loaded, 0) ->
[];
arg_types(erlang, process_display, 2) ->
[t_pid(), t_atom('backtrace')];
arg_types(erlang, process_flag, 2) ->
[t_sup([t_atom('trap_exit'), t_atom('error_handler'),
t_atom('min_heap_size'), t_atom('priority'), t_atom('save_calls'),
t_atom('monitor_nodes'), % undocumented
t_tuple([t_atom('monitor_nodes'), t_list()])]), % undocumented
t_sup([t_boolean(), t_atom(), t_non_neg_integer()])];
arg_types(erlang, process_flag, 3) ->
[t_pid(), t_atom('save_calls'), t_non_neg_integer()];
arg_types(erlang, process_info, 1) ->
[t_pid()];
arg_types(erlang, process_info, 2) ->
[t_pid(), t_pinfo()];
arg_types(erlang, processes, 0) ->
[];
arg_types(erlang, purge_module, 1) ->
[t_atom()];
arg_types(erlang, put, 2) ->
[t_any(), t_any()];
arg_types(erlang, raise, 3) ->
[t_raise_errorclass(), t_any(), type(erlang, get_stacktrace, 0, [])];
arg_types(erlang, read_timer, 1) ->
[t_reference()];
arg_types(erlang, ref_to_list, 1) ->
[t_reference()];
arg_types(erlang, register, 2) ->
[t_atom(), t_sup(t_port(), t_pid())];
arg_types(erlang, registered, 0) ->
[];
arg_types(erlang, resume_process, 1) ->
[t_pid()]; % intended for debugging only
arg_types(erlang, round, 1) ->
[t_number()];
arg_types(erlang, self, 0) ->
[];
arg_types(erlang, send, 2) ->
arg_types(erlang, '!', 2); % alias
arg_types(erlang, send, 3) ->
arg_types(erlang, send, 2) ++ [t_list(t_sendoptions())];
arg_types(erlang, send_after, 3) ->
[t_non_neg_integer(), t_sup(t_pid(), t_atom()), t_any()];
arg_types(erlang, seq_trace, 2) ->
[t_atom(), t_sup([t_boolean(), t_tuple([t_fixnum(), t_fixnum()]), t_nil()])];
arg_types(erlang, seq_trace_info, 1) ->
[t_seq_trace_info()];
arg_types(erlang, seq_trace_print, 1) ->
[t_any()];
arg_types(erlang, seq_trace_print, 2) ->
[t_sup(t_atom(), t_fixnum()), t_any()];
arg_types(erlang, set_cookie, 2) ->
[t_node(), t_atom()];
arg_types(erlang, setelement, 3) ->
[t_pos_integer(), t_tuple(), t_any()];
arg_types(erlang, setnode, 2) ->
[t_atom(), t_integer()];
arg_types(erlang, setnode, 3) ->
[t_atom(), t_port(), t_tuple(4)];
arg_types(erlang, size, 1) ->
[t_sup(t_tuple(), t_binary())];
arg_types(erlang, spawn, 1) -> %% TODO: Tuple?
[t_fun()];
arg_types(erlang, spawn, 2) -> %% TODO: Tuple?
[t_node(), t_fun()];
arg_types(erlang, spawn, 3) -> %% TODO: Tuple?
[t_atom(), t_atom(), t_list()];
arg_types(erlang, spawn, 4) -> %% TODO: Tuple?
[t_node(), t_atom(), t_atom(), t_list()];
arg_types(erlang, spawn_link, 1) ->
arg_types(erlang, spawn, 1); % same
arg_types(erlang, spawn_link, 2) ->
arg_types(erlang, spawn, 2); % same
arg_types(erlang, spawn_link, 3) ->
arg_types(erlang, spawn, 3); % same
arg_types(erlang, spawn_link, 4) ->
arg_types(erlang, spawn, 4); % same
arg_types(erlang, spawn_opt, 1) ->
[t_tuple([t_atom(), t_atom(), t_list(), t_list(t_spawn_options())])];
arg_types(erlang, spawn_opt, 2) ->
[t_fun(), t_list(t_spawn_options())];
arg_types(erlang, spawn_opt, 3) ->
[t_atom(), t_fun(), t_list(t_spawn_options())];
arg_types(erlang, spawn_opt, 4) ->
[t_node(), t_atom(), t_list(), t_list(t_spawn_options())];
arg_types(erlang, split_binary, 2) ->
[t_binary(), t_non_neg_integer()];
arg_types(erlang, start_timer, 3) ->
[t_non_neg_integer(), t_sup(t_pid(), t_atom()), t_any()];
arg_types(erlang, statistics, 1) ->
[t_sup([t_atom('context_switches'),
t_atom('exact_reductions'),
t_atom('garbage_collection'),
t_atom('io'),
t_atom('reductions'),
t_atom('run_queue'),
t_atom('runtime'),
t_atom('wall_clock')])];
arg_types(erlang, subtract, 2) ->
arg_types(erlang, '--', 2);
arg_types(erlang, suspend_process, 1) ->
[t_pid()];
arg_types(erlang, suspend_process, 2) ->
[t_pid(), t_list(t_sup([t_atom('unless_suspending'),
t_atom('asynchronous')]))];
arg_types(erlang, system_flag, 2) ->
[t_sup([t_atom('backtrace_depth'),
t_atom('cpu_topology'),
t_atom('debug_flags'), % undocumented
t_atom('display_items'), % undocumented
t_atom('fullsweep_after'),
t_atom('min_heap_size'),
t_atom('multi_scheduling'),
t_atom('schedulers_online'),
t_atom('scheduler_bind_type'),
%% Undocumented; used to implement (the documented) seq_trace module.
t_atom('sequential_tracer'),
t_atom('trace_control_word'),
%% 'internal_cpu_topology' is an undocumented internal feature.
t_atom('internal_cpu_topology'),
t_integer()]),
t_sup([t_integer(),
%% 'cpu_topology'
t_system_cpu_topology(),
%% 'scheduler_bind_type'
t_scheduler_bind_type_args(),
%% Undocumented: the following is for 'debug_flags' that
%% takes any erlang term as flags and currently ignores it.
%% t_any(), % commented out since it destroys the type signature
%%
%% Again undocumented; the following are for 'sequential_tracer'
t_sequential_tracer(),
%% The following two are for 'multi_scheduling'
t_atom('block'),
t_atom('unblock'),
%% The following is for 'internal_cpu_topology'
t_internal_cpu_topology()])];
arg_types(erlang, system_info, 1) ->
[t_sup([t_atom(), % documented
t_tuple([t_atom(), t_any()]), % documented
t_tuple([t_atom(), t_atom(), t_any()])])];
arg_types(erlang, system_monitor, 0) ->
[];
arg_types(erlang, system_monitor, 1) ->
[t_system_monitor_settings()];
arg_types(erlang, system_monitor, 2) ->
[t_pid(), t_system_monitor_options()];
arg_types(erlang, system_profile, 0) ->
[];
arg_types(erlang, system_profile, 2) ->
[t_sup([t_pid(), t_port(), t_atom('undefined')]),
t_system_profile_options()];
arg_types(erlang, term_to_binary, 1) ->
[t_any()];
arg_types(erlang, term_to_binary, 2) ->
[t_any(), t_list(t_sup([t_atom('compressed'),
t_tuple([t_atom('compressed'), t_from_range(0, 9)]),
t_tuple([t_atom('minor_version'), t_integers([0, 1])])]))];
arg_types(erlang, throw, 1) ->
[t_any()];
arg_types(erlang, time, 0) ->
[];
arg_types(erlang, tl, 1) ->
[t_cons()];
arg_types(erlang, trace, 3) ->
[t_sup(t_pid(), t_sup([t_atom('existing'), t_atom('new'), t_atom('all')])),
t_boolean(),
t_list(t_sup(t_atom(), t_tuple(2)))];
arg_types(erlang, trace_delivered, 1) ->
[t_sup(t_pid(), t_atom('all'))];
arg_types(erlang, trace_info, 2) ->
[t_sup([%% the following two get info about a PID
t_pid(), t_atom('new'),
%% while the following two get info about a func
t_mfa(), t_atom('on_load')]),
t_sup([%% the following are items about a PID
t_atom('flags'), t_atom('tracer'),
%% while the following are items about a func
t_atom('traced'), t_atom('match_spec'), t_atom('meta'),
t_atom('meta_match_spec'), t_atom('call_count'),
t_atom('call_time'), t_atom('all')])];
arg_types(erlang, trace_pattern, 2) ->
[t_sup(t_tuple([t_atom(), t_atom(), t_sup(t_arity(), t_atom('_'))]),
t_atom('on_load')),
t_sup([t_boolean(), t_list(), t_atom('restart'), t_atom('pause')])];
arg_types(erlang, trace_pattern, 3) ->
arg_types(erlang, trace_pattern, 2) ++
[t_list(t_sup([t_atom('global'), t_atom('local'),
t_atom('meta'), t_tuple([t_atom('meta'), t_pid()]),
t_atom('call_count'), t_atom('call_time')]))];
arg_types(erlang, trunc, 1) ->
[t_number()];
arg_types(erlang, tuple_size, 1) ->
[t_tuple()];
arg_types(erlang, tuple_to_list, 1) ->
[t_tuple()];
arg_types(erlang, universaltime, 0) ->
[];
arg_types(erlang, universaltime_to_localtime, 1) ->
[t_tuple([t_date(), t_time()])];
arg_types(erlang, unlink, 1) ->
[t_sup(t_pid(), t_port())];
arg_types(erlang, unregister, 1) ->
[t_atom()];
arg_types(erlang, whereis, 1) ->
[t_atom()];
arg_types(erlang, yield, 0) ->
[];
%%------- erl_prim_loader -----------------------------------------------------
arg_types(erl_prim_loader, get_file, 1) ->
[t_sup(t_atom(), t_string())];
arg_types(erl_prim_loader, get_path, 0) ->
[];
arg_types(erl_prim_loader, set_path, 1) ->
[t_list(t_string())];
%%------- error_logger --------------------------------------------------------
arg_types(error_logger, warning_map, 0) ->
[];
%%------- erts_debug ----------------------------------------------------------
arg_types(erts_debug, breakpoint, 2) ->
[t_tuple([t_atom(), t_atom(), t_sup(t_integer(), t_atom('_'))]), t_boolean()];
arg_types(erts_debug, disassemble, 1) ->
[t_sup(t_mfa(), t_integer())];
arg_types(erts_debug, display, 1) ->
[t_any()];
arg_types(erts_debug, dist_ext_to_term, 2) ->
[t_tuple(), t_binary()];
arg_types(erts_debug, dump_monitors, 1) ->
[t_sup([t_pid(),t_atom()])];
arg_types(erts_debug, dump_links, 1) ->
[t_sup([t_pid(),t_atom(),t_port()])];
arg_types(erts_debug, flat_size, 1) ->
[t_any()];
arg_types(erts_debug, get_internal_state, 1) ->
[t_any()];
arg_types(erts_debug, lock_counters, 1) ->
[t_sup([t_atom(enabled),
t_atom(info),
t_atom(clear),
t_tuple([t_atom(copy_save), t_boolean()]),
t_tuple([t_atom(process_locks), t_boolean()])])];
arg_types(erts_debug, same, 2) ->
[t_any(), t_any()];
arg_types(erts_debug, set_internal_state, 2) ->
[t_any(), t_any()];
%%------- ets -----------------------------------------------------------------
arg_types(ets, all, 0) ->
[];
arg_types(ets, delete, 1) ->
[t_tab()];
arg_types(ets, delete, 2) ->
[t_tab(), t_any()];
arg_types(ets, delete_all_objects, 1) ->
[t_tab()];
arg_types(ets, delete_object, 2) ->
[t_tab(), t_tuple()];
arg_types(ets, first, 1) ->
[t_tab()];
arg_types(ets, give_away, 3) ->
[t_tab(), t_pid(), t_any()];
arg_types(ets, info, 1) ->
[t_tab()];
arg_types(ets, info, 2) ->
[t_tab(), t_ets_info_items()];
arg_types(ets, insert, 2) ->
[t_tab(), t_sup(t_tuple(), t_list(t_tuple()))];
arg_types(ets, insert_new, 2) ->
[t_tab(), t_sup(t_tuple(), t_list(t_tuple()))];
arg_types(ets, is_compiled_ms, 1) ->
[t_any()];
arg_types(ets, last, 1) ->
arg_types(ets, first, 1);
arg_types(ets, lookup, 2) ->
[t_tab(), t_any()];
arg_types(ets, lookup_element, 3) ->
[t_tab(), t_any(), t_pos_fixnum()];
arg_types(ets, match, 1) ->
[t_any()];
arg_types(ets, match, 2) ->
[t_tab(), t_match_pattern()];
arg_types(ets, match, 3) ->
[t_tab(), t_match_pattern(), t_pos_fixnum()];
arg_types(ets, match_object, 1) ->
arg_types(ets, match, 1);
arg_types(ets, match_object, 2) ->
arg_types(ets, match, 2);
arg_types(ets, match_object, 3) ->
arg_types(ets, match, 3);
arg_types(ets, match_spec_compile, 1) ->
[t_matchspecs()];
arg_types(ets, match_spec_run_r, 3) ->
[t_matchspecs(), t_any(), t_list()];
arg_types(ets, member, 2) ->
[t_tab(), t_any()];
arg_types(ets, new, 2) ->
[t_atom(), t_ets_new_options()];
arg_types(ets, next, 2) ->
[t_tab(), t_any()];
arg_types(ets, prev, 2) ->
[t_tab(), t_any()];
arg_types(ets, rename, 2) ->
[t_atom(), t_atom()];
arg_types(ets, safe_fixtable, 2) ->
[t_tab(), t_boolean()];
arg_types(ets, select, 1) ->
[t_any()];
arg_types(ets, select, 2) ->
[t_tab(), t_matchspecs()];
arg_types(ets, select, 3) ->
[t_tab(), t_matchspecs(), t_pos_fixnum()];
arg_types(ets, select_count, 2) ->
[t_tab(), t_matchspecs()];
arg_types(ets, select_delete, 2) ->
[t_tab(), t_matchspecs()];
arg_types(ets, select_reverse, 1) ->
arg_types(ets, select, 1);
arg_types(ets, select_reverse, 2) ->
arg_types(ets, select, 2);
arg_types(ets, select_reverse, 3) ->
arg_types(ets, select, 3);
arg_types(ets, slot, 2) ->
[t_tab(), t_non_neg_fixnum()]; % 2nd arg can be 0
arg_types(ets, setopts, 2) ->
Opt = t_sup(t_tuple([t_atom('heir'), t_pid(), t_any()]),
t_tuple([t_atom('heir'), t_atom('none')])),
[t_tab(), t_sup(Opt, t_list(Opt))];
arg_types(ets, update_counter, 3) ->
Int = t_integer(),
UpdateOp = t_sup(t_tuple([Int, Int]), t_tuple([Int, Int, Int, Int])),
[t_tab(), t_any(), t_sup([UpdateOp, t_list(UpdateOp), Int])];
arg_types(ets, update_element, 3) ->
PosValue = t_tuple([t_integer(), t_any()]),
[t_tab(), t_any(), t_sup(PosValue, t_list(PosValue))];
%%------- file ----------------------------------------------------------------
arg_types(file, close, 1) ->
[t_file_io_device()];
arg_types(file, delete, 1) ->
[t_file_name()];
arg_types(file, get_cwd, 0) ->
[];
arg_types(file, make_dir, 1) ->
[t_file_name()];
arg_types(file, open, 2) ->
[t_file_name(), t_list(t_file_open_option())];
arg_types(file, read_file, 1) ->
[t_file_name()];
arg_types(file, set_cwd, 1) ->
[t_file_name()];
arg_types(file, write, 2) ->
[t_file_io_device(), t_iodata()];
arg_types(file, write_file, 2) ->
[t_file_name(), t_sup(t_binary(), t_list())];
%%------- gen_tcp -------------------------------------------------------------
arg_types(gen_tcp, accept, 1) ->
[t_socket()];
arg_types(gen_tcp, accept, 2) ->
[t_socket(), t_timeout()];
arg_types(gen_tcp, connect, 3) ->
[t_gen_tcp_address(), t_gen_tcp_port(), t_list(t_gen_tcp_connect_option())];
arg_types(gen_tcp, connect, 4) ->
arg_types(gen_tcp, connect, 3) ++ [t_timeout()];
arg_types(gen_tcp, listen, 2) ->
[t_gen_tcp_port(), t_list(t_gen_tcp_listen_option())];
arg_types(gen_tcp, recv, 2) ->
[t_socket(), t_non_neg_integer()];
arg_types(gen_tcp, recv, 3) ->
arg_types(gen_tcp, recv, 2) ++ [t_timeout()];
arg_types(gen_tcp, send, 2) ->
[t_socket(), t_packet()];
arg_types(gen_tcp, shutdown, 2) ->
[t_socket(), t_sup([t_atom('read'), t_atom('write'), t_atom('read_write')])];
%%------- gen_udp -------------------------------------------------------------
arg_types(gen_udp, open, 1) ->
[t_gen_tcp_port()];
arg_types(gen_udp, open, 2) ->
[t_gen_tcp_port(), t_list(t_gen_udp_connect_option())];
arg_types(gen_udp, recv, 2) ->
arg_types(gen_tcp, recv, 2);
arg_types(gen_udp, recv, 3) ->
arg_types(gen_tcp, recv, 3);
arg_types(gen_udp, send, 4) ->
[t_socket(), t_gen_tcp_address(), t_gen_tcp_port(), t_packet()];
%%------- hipe_bifs -----------------------------------------------------------
arg_types(hipe_bifs, add_ref, 2) ->
[t_mfa(), t_tuple([t_mfa(),
t_integer(),
t_sup(t_atom('call'), t_atom('load_mfa')),
t_trampoline(),
t_sup(t_atom('remote'), t_atom('local'))])];
arg_types(hipe_bifs, alloc_data, 2) ->
[t_integer(), t_integer()];
arg_types(hipe_bifs, array, 2) ->
[t_non_neg_fixnum(), t_immediate()];
arg_types(hipe_bifs, array_length, 1) ->
[t_immarray()];
arg_types(hipe_bifs, array_sub, 2) ->
[t_immarray(), t_non_neg_fixnum()];
arg_types(hipe_bifs, array_update, 3) ->
[t_immarray(), t_non_neg_fixnum(), t_immediate()];
arg_types(hipe_bifs, atom_to_word, 1) ->
[t_atom()];
arg_types(hipe_bifs, bif_address, 3) ->
[t_atom(), t_atom(), t_arity()];
arg_types(hipe_bifs, bitarray, 2) ->
[t_non_neg_fixnum(), t_boolean()];
arg_types(hipe_bifs, bitarray_sub, 2) ->
[t_bitarray(), t_non_neg_fixnum()];
arg_types(hipe_bifs, bitarray_update, 3) ->
[t_bytearray(), t_non_neg_fixnum(), t_boolean()];
arg_types(hipe_bifs, bytearray, 2) ->
[t_non_neg_fixnum(), t_byte()];
arg_types(hipe_bifs, bytearray_sub, 2) ->
[t_bytearray(), t_non_neg_fixnum()];
arg_types(hipe_bifs, bytearray_update, 3) ->
[t_bytearray(), t_non_neg_fixnum(), t_byte()];
arg_types(hipe_bifs, call_count_clear, 1) ->
[t_mfa()];
arg_types(hipe_bifs, call_count_get, 1) ->
[t_mfa()];
arg_types(hipe_bifs, call_count_off, 1) ->
[t_mfa()];
arg_types(hipe_bifs, call_count_on, 1) ->
[t_mfa()];
arg_types(hipe_bifs, check_crc, 1) ->
[t_crc32()];
arg_types(hipe_bifs, enter_code, 2) ->
[t_binary(), t_sup(t_nil(), t_tuple())];
arg_types(hipe_bifs, enter_sdesc, 1) ->
[t_tuple([t_integer(), t_integer(), t_integer(), t_integer(), t_integer()])];
arg_types(hipe_bifs, find_na_or_make_stub, 2) ->
[t_mfa(), t_boolean()];
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_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) ->
[t_mfa()];
arg_types(hipe_bifs, merge_term, 1) ->
[t_any()];
arg_types(hipe_bifs, patch_call, 3) ->
[t_integer(), t_integer(), t_trampoline()];
arg_types(hipe_bifs, patch_insn, 3) ->
[t_integer(), t_integer(), t_insn_type()];
arg_types(hipe_bifs, primop_address, 1) ->
[t_atom()];
arg_types(hipe_bifs, redirect_referred_from, 1) ->
[t_mfa()];
arg_types(hipe_bifs, ref, 1) ->
[t_immediate()];
arg_types(hipe_bifs, ref_get, 1) ->
[t_hiperef()];
arg_types(hipe_bifs, ref_set, 2) ->
[t_hiperef(), t_immediate()];
arg_types(hipe_bifs, remove_refs_from, 1) ->
[t_mfa()];
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, system_crc, 1) ->
[t_crc32()];
arg_types(hipe_bifs, term_to_word, 1) ->
[t_any()];
arg_types(hipe_bifs, update_code_size, 3) ->
[t_atom(), t_sup(t_nil(), t_binary()), t_integer()];
arg_types(hipe_bifs, write_u8, 2) ->
[t_integer(), t_byte()];
arg_types(hipe_bifs, write_u32, 2) ->
[t_integer(), t_integer()];
arg_types(hipe_bifs, write_u64, 2) ->
[t_integer(), t_integer()];
%%------- io ------------------------------------------------------------------
arg_types(io, format, 1) ->
[t_io_format_string()];
arg_types(io, format, 2) ->
[t_io_format_string(), t_list()];
arg_types(io, format, 3) ->
[t_io_device(), t_io_format_string(), t_list()];
arg_types(io, fwrite, 1) ->
arg_types(io, format, 1);
arg_types(io, fwrite, 2) ->
arg_types(io, format, 2);
arg_types(io, fwrite, 3) ->
arg_types(io, format, 3);
arg_types(io, put_chars, 1) ->
[t_iodata()];
arg_types(io, put_chars, 2) ->
[t_io_device(), t_iodata()];
%%------- io_lib --------------------------------------------------------------
arg_types(io_lib, format, 2) ->
arg_types(io, format, 2);
arg_types(io_lib, fwrite, 2) ->
arg_types(io_lib, format, 2);
%%------- lists ---------------------------------------------------------------
arg_types(lists, all, 2) ->
[t_fun([t_any()], t_boolean()), t_list()];
arg_types(lists, any, 2) ->
[t_fun([t_any()], t_boolean()), t_list()];
arg_types(lists, append, 2) ->
arg_types(erlang, '++', 2); % alias
arg_types(lists, delete, 2) ->
[t_any(), t_maybe_improper_list()];
arg_types(lists, dropwhile, 2) ->
[t_fun([t_any()], t_boolean()), t_maybe_improper_list()];
arg_types(lists, filter, 2) ->
[t_fun([t_any()], t_boolean()), t_list()];
arg_types(lists, flatten, 1) ->
[t_list()];
arg_types(lists, flatmap, 2) ->
[t_fun([t_any()], t_list()), t_list()];
arg_types(lists, foreach, 2) ->
[t_fun([t_any()], t_any()), t_list()];
arg_types(lists, foldl, 3) ->
[t_fun([t_any(), t_any()], t_any()), t_any(), t_list()];
arg_types(lists, foldr, 3) ->
arg_types(lists, foldl, 3); % same
arg_types(lists, keydelete, 3) ->
[t_any(), t_pos_fixnum(), t_maybe_improper_list()]; % t_list(t_tuple())];
arg_types(lists, keyfind, 3) ->
arg_types(lists, keysearch, 3);
arg_types(lists, keymap, 3) ->
[t_fun([t_any()], t_any()), t_pos_fixnum(), t_list(t_tuple())];
arg_types(lists, keymember, 3) ->
[t_any(), t_pos_fixnum(), t_maybe_improper_list()]; % t_list(t_tuple());
arg_types(lists, keymerge, 3) ->
[t_pos_fixnum(), t_list(t_tuple()), t_list(t_tuple())];
arg_types(lists, keyreplace, 4) ->
[t_any(), t_pos_fixnum(), t_maybe_improper_list(), t_tuple()]; % t_list(t_tuple())];
arg_types(lists, keysearch, 3) ->
[t_any(), t_pos_fixnum(), t_maybe_improper_list()]; % t_list(t_tuple())];
arg_types(lists, keysort, 2) ->
[t_pos_fixnum(), t_list(t_tuple())];
arg_types(lists, last, 1) ->
[t_nonempty_list()];
arg_types(lists, map, 2) ->
[t_fun([t_any()], t_any()), t_list()];
arg_types(lists, mapfoldl, 3) ->
[t_fun([t_any(), t_any()], t_tuple([t_any(), t_any()])), t_any(), t_list()];
arg_types(lists, mapfoldr, 3) ->
arg_types(lists, mapfoldl, 3); % same
arg_types(lists, max, 1) ->
[t_nonempty_list()];
arg_types(lists, member, 2) ->
[t_any(), t_list()];
%% arg_types(lists, merge, 1) ->
%% [t_list(t_list())];
arg_types(lists, merge, 2) ->
[t_list(), t_list()];
%% arg_types(lists, merge, 3) ->
%% [t_fun([t_any(), t_any()], t_boolean()), t_list(), t_list()];
%% arg_types(lists, merge3, 3) ->
%% [t_list(), t_list(), t_list()];
arg_types(lists, min, 1) ->
[t_nonempty_list()];
arg_types(lists, nth, 2) ->
[t_pos_fixnum(), t_nonempty_list()];
arg_types(lists, nthtail, 2) ->
[t_non_neg_fixnum(), t_nonempty_list()];
arg_types(lists, partition, 2) ->
arg_types(lists, filter, 2); % same
arg_types(lists, reverse, 1) ->
[t_list()];
arg_types(lists, reverse, 2) ->
[t_list(), t_any()];
arg_types(lists, seq, 2) ->
[t_integer(), t_integer()];
arg_types(lists, seq, 3) ->
[t_integer(), t_integer(), t_integer()];
arg_types(lists, sort, 1) ->
[t_list()];
arg_types(lists, sort, 2) ->
[t_fun([t_any(), t_any()], t_boolean()), t_list()];
arg_types(lists, split, 2) ->
[t_non_neg_fixnum(), t_maybe_improper_list()]; % do not lie in 2nd arg
arg_types(lists, splitwith, 2) ->
[t_fun([t_any()], t_boolean()), t_maybe_improper_list()];
arg_types(lists, subtract, 2) ->
arg_types(erlang, '--', 2); % alias
arg_types(lists, takewhile, 2) ->
[t_fun([t_any()], t_boolean()), t_maybe_improper_list()];
arg_types(lists, usort, 1) ->
arg_types(lists, sort, 1); % same
arg_types(lists, usort, 2) ->
arg_types(lists, sort, 2);
arg_types(lists, unzip, 1) ->
[t_list(t_tuple(2))];
arg_types(lists, unzip3, 1) ->
[t_list(t_tuple(3))];
arg_types(lists, zip, 2) ->
[t_list(), t_list()];
arg_types(lists, zip3, 3) ->
[t_list(), t_list(), t_list()];
arg_types(lists, zipwith, 3) ->
[t_fun([t_any(), t_any()], t_any()), t_list(), t_list()];
arg_types(lists, zipwith3, 4) ->
[t_fun([t_any(), t_any(), t_any()], t_any()), t_list(), t_list(), t_list()];
%%------- math ----------------------------------------------------------------
arg_types(math, acos, 1) ->
[t_number()];
arg_types(math, acosh, 1) ->
[t_number()];
arg_types(math, asin, 1) ->
[t_number()];
arg_types(math, asinh, 1) ->
[t_number()];
arg_types(math, atan, 1) ->
[t_number()];
arg_types(math, atan2, 2) ->
[t_number(), t_number()];
arg_types(math, atanh, 1) ->
[t_number()];
arg_types(math, cos, 1) ->
[t_number()];
arg_types(math, cosh, 1) ->
[t_number()];
arg_types(math, erf, 1) ->
[t_number()];
arg_types(math, erfc, 1) ->
[t_number()];
arg_types(math, exp, 1) ->
[t_number()];
arg_types(math, log, 1) ->
[t_number()];
arg_types(math, log10, 1) ->
[t_number()];
arg_types(math, pi, 0) ->
[];
arg_types(math, pow, 2) ->
[t_number(), t_number()];
arg_types(math, sin, 1) ->
[t_number()];
arg_types(math, sinh, 1) ->
[t_number()];
arg_types(math, sqrt, 1) ->
[t_number()];
arg_types(math, tan, 1) ->
[t_number()];
arg_types(math, tanh, 1) ->
[t_number()];
%%-- net_kernel ---------------------------------------------------------------
arg_types(net_kernel, dflag_unicode_io, 1) ->
[t_pid()];
%%------- ordsets -------------------------------------------------------------
arg_types(ordsets, filter, 2) ->
arg_types(lists, filter, 2);
arg_types(ordsets, fold, 3) ->
arg_types(lists, foldl, 3);
%%------- os ------------------------------------------------------------------
arg_types(os, getenv, 0) ->
[];
arg_types(os, getenv, 1) ->
[t_string()];
arg_types(os, getpid, 0) ->
[];
arg_types(os, putenv, 2) ->
[t_string(), t_string()];
arg_types(os, timestamp, 0) ->
[];
%%-- re -----------------------------------------------------------------------
arg_types(re, compile, 1) ->
[t_iodata()];
arg_types(re, compile, 2) ->
[t_iodata(), t_list(t_re_compile_option())];
arg_types(re, run, 2) ->
[t_iodata(), t_re_RE()];
arg_types(re, run, 3) ->
[t_iodata(), t_re_RE(), t_list(t_re_run_option())];
%%------- string --------------------------------------------------------------
arg_types(string, chars, 2) ->
[t_char(), t_non_neg_integer()];
arg_types(string, chars, 3) ->
[t_char(), t_non_neg_integer(), t_any()];
arg_types(string, concat, 2) ->
[t_string(), t_string()];
arg_types(string, equal, 2) ->
[t_string(), t_string()];
arg_types(string, to_float, 1) ->
[t_string()];
arg_types(string, to_integer, 1) ->
[t_string()];
%%------- unicode -------------------------------------------------------------
arg_types(unicode, characters_to_binary, 2) ->
[t_ML(), t_encoding()];
arg_types(unicode, characters_to_list, 2) ->
[t_ML(), t_encoding()];
arg_types(unicode, bin_is_7bit, 1) ->
[t_binary()];
%%-----------------------------------------------------------------------------
arg_types(M, F, A) when is_atom(M), is_atom(F),
is_integer(A), 0 =< A, A =< 255 ->
unknown. % safe approximation for all functions.
-spec is_known(atom(), atom(), arity()) -> boolean().
is_known(M, F, A) ->
arg_types(M, F, A) =/= unknown.
-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
true ->
case t_fun_args(Fun) of
unknown ->
case t_is_none_or_unit(t_fun_range(Fun)) of
true -> error;
false -> ok
end;
FunDom when length(FunDom) =:= length(Args) ->
case any_is_none_or_unit(inf_lists(FunDom, Args)) of
true -> error;
false ->
case t_is_none_or_unit(t_fun_range(Fun)) of
true -> error;
false -> ok
end
end;
_ -> error
end;
false ->
error
end.
%% =====================================================================
%% These are basic types that should probably be moved to erl_types
%% =====================================================================
t_socket() -> t_port(). % alias
t_ip_address() ->
T_int16 = t_from_range(0, 16#FFFF),
t_sup(t_tuple([t_byte(), t_byte(), t_byte(), t_byte()]),
t_tuple([T_int16, T_int16, T_int16, T_int16,
T_int16, T_int16, T_int16, T_int16])).
%% =====================================================================
%% Some basic types used in various parts of the system
%% =====================================================================
t_date() ->
t_tuple([t_pos_fixnum(), t_pos_fixnum(), t_pos_fixnum()]).
t_time() ->
t_tuple([t_non_neg_fixnum(), t_non_neg_fixnum(), t_non_neg_fixnum()]).
t_packet() ->
t_sup([t_binary(), t_iolist(), t_httppacket()]).
t_httppacket() ->
t_sup([t_HttpRequest(), t_HttpResponse(),
t_HttpHeader(), t_atom('http_eoh'), t_HttpError()]).
t_endian() ->
t_sup([t_atom('big'), t_atom('little')]).
%% =====================================================================
%% Types for the binary module
%% =====================================================================
t_binary_part() ->
t_tuple([t_non_neg_integer(),t_integer()]).
t_binary_canonical_part() ->
t_tuple([t_non_neg_integer(),t_non_neg_integer()]).
t_binary_pattern() ->
t_sup([t_binary(),
t_list(t_binary()),
t_binary_compiled_pattern()]).
t_binary_compiled_pattern() ->
t_tuple([t_atom('cp'),t_binary()]).
t_binary_options() ->
t_list(t_tuple([t_atom('scope'),t_binary_part()])).
%% =====================================================================
%% HTTP types documented in R12B-4
%% =====================================================================
t_HttpRequest() ->
t_tuple([t_atom('http_request'), t_HttpMethod(), t_HttpUri(), t_HttpVersion()]).
t_HttpResponse() ->
t_tuple([t_atom('http_response'), t_HttpVersion(), t_integer(), t_string()]).
t_HttpHeader() ->
t_tuple([t_atom('http_header'), t_integer(), t_HttpField(), t_any(), t_string()]).
t_HttpError() ->
t_tuple([t_atom('http_error'), t_string()]).
t_HttpMethod() ->
t_sup(t_HttpMethodAtom(), t_string()).
t_HttpMethodAtom() ->
t_atoms(['OPTIONS', 'GET', 'HEAD', 'POST', 'PUT', 'DELETE', 'TRACE']).
t_HttpUri() ->
t_sup([t_atom('*'),
t_tuple([t_atom('absoluteURI'),
t_sup(t_atom('http'), t_atom('https')),
t_string(),
t_sup(t_non_neg_integer(), t_atom('undefined')),
t_string()]),
t_tuple([t_atom('scheme'), t_string(), t_string()]),
t_tuple([t_atom('abs_path'), t_string()]),
t_string()]).
t_HttpVersion() ->
t_tuple([t_non_neg_integer(), t_non_neg_integer()]).
t_HttpField() ->
t_sup(t_HttpFieldAtom(), t_string()).
t_HttpFieldAtom() ->
t_atoms(['Cache-Control', 'Connection', 'Date', 'Pragma', 'Transfer-Encoding',
'Upgrade', 'Via', 'Accept', 'Accept-Charset', 'Accept-Encoding',
'Accept-Language', 'Authorization', 'From', 'Host',
'If-Modified-Since', 'If-Match', 'If-None-Match', 'If-Range',
'If-Unmodified-Since', 'Max-Forwards', 'Proxy-Authorization',
'Range', 'Referer', 'User-Agent', 'Age', 'Location',
'Proxy-Authenticate', 'Public', 'Retry-After', 'Server', 'Vary',
'Warning', 'Www-Authenticate', 'Allow', 'Content-Base',
'Content-Encoding', 'Content-Language', 'Content-Length',
'Content-Location', 'Content-Md5', 'Content-Range', 'Content-Type',
'Etag', 'Expires', 'Last-Modified', 'Accept-Ranges',
'Set-Cookie', 'Set-Cookie2', 'X-Forwarded-For', 'Cookie',
'Keep-Alive', 'Proxy-Connection']).
%% =====================================================================
%% These are used for the built-in functions of 'code'
%% =====================================================================
t_code_load_return(Mod) ->
t_sup(t_tuple([t_atom('module'), case t_is_atom(Mod) of
true -> Mod;
false -> t_atom()
end]),
t_tuple([t_atom('error'), t_code_load_error_rsn()])).
t_code_load_error_rsn() -> % also used in erlang:load_module/2
t_sup([t_atom('badfile'),
t_atom('nofile'),
t_atom('not_purged'),
t_atom('native_code'),
t_atom('on_load'),
t_atom('sticky_directory')]). % only for the 'code' functions
t_code_loaded_fname_or_status() ->
t_sup([t_string(), % filename
t_atom('preloaded'),
t_atom('cover_compiled')]).
%% =====================================================================
%% These are used for the built-in functions of 'erlang'
%% =====================================================================
t_adler32() ->
t_non_neg_integer().
t_crc32() ->
t_non_neg_integer().
t_decode_packet_option() ->
t_sup([t_tuple([t_atom('packet_size'), t_non_neg_integer()]),
t_tuple([t_atom('line_length'), t_non_neg_integer()])]).
t_decode_packet_type() ->
t_sup([t_inet_setoption_packettype(), t_atom('httph'), t_atom('httph_bin')]).
t_dist_exit() ->
t_sup([t_atom('kill'), t_atom('noconnection'), t_atom('normal')]).
t_match_spec_test_errors() ->
t_list(t_sup(t_tuple([t_atom('error'), t_string()]),
t_tuple([t_atom('warning'), t_string()]))).
t_module_info_2() ->
t_sup([t_atom('module'),
t_atom('imports'),
t_atom('exports'),
t_atom('functions'),
t_atom('attributes'),
t_atom('compile'),
t_atom('native_addresses')]).
t_pinfo() ->
t_sup([t_pinfo_item(), t_list(t_pinfo_item())]).
t_pinfo_item() ->
t_sup([t_atom('backtrace'),
t_atom('current_function'),
t_atom('dictionary'),
t_atom('error_handler'),
t_atom('garbage_collection'),
t_atom('group_leader'),
t_atom('heap_size'),
t_atom('initial_call'),
t_atom('last_calls'),
t_atom('links'),
t_atom('memory'),
t_atom('message_binary'), % for hybrid heap only
t_atom('message_queue_len'),
t_atom('messages'),
t_atom('monitored_by'),
t_atom('monitors'),
t_atom('priority'),
t_atom('reductions'),
t_atom('registered_name'),
t_atom('sequential_trace_token'),
t_atom('stack_size'),
t_atom('status'),
t_atom('suspending'),
t_atom('total_heap_size'),
t_atom('trap_exit')]).
t_process_priority_level() ->
t_sup([t_atom('max'), t_atom('high'), t_atom('normal'), t_atom('low')]).
t_process_status() ->
t_sup([t_atom('runnable'), t_atom('running'),
t_atom('suspended'), t_atom('waiting')]).
t_raise_errorclass() ->
t_sup([t_atom('error'), t_atom('exit'), t_atom('throw')]).
t_sendoptions() ->
t_sup(t_atom('noconnect'), t_atom('nosuspend')).
t_seq_trace_info() ->
t_sup([t_atom('send'),
t_atom('receive'),
t_atom('print'),
t_atom('timestamp'),
t_atom('label'),
t_atom('serial')]).
%% XXX: Better if we also maintain correspondencies between infos and values
t_seq_trace_info_returns() ->
Values = t_sup([t_non_neg_integer(), t_boolean(),
t_tuple([t_non_neg_integer(), t_non_neg_integer()])]),
t_sup(t_tuple([t_seq_trace_info(), Values]), t_nil()).
t_sequential_tracer() ->
t_sup([t_atom('false'), t_pid(), t_port()]).
t_spawn_options() ->
t_sup([t_atom('link'),
t_atom('monitor'),
t_tuple([t_atom('priority'), t_process_priority_level()]),
t_tuple([t_atom('min_heap_size'), t_fixnum()]),
t_tuple([t_atom('fullsweep_after'), t_fixnum()])]).
t_spawn_opt_return(List) ->
case t_is_none(t_inf(t_list(t_atom('monitor')), List)) of
true -> t_pid();
false -> t_sup(t_pid(), t_tuple([t_pid(), t_reference()]))
end.
t_system_cpu_topology() ->
t_sup(t_atom('undefined'), t_system_cpu_topology_level_entry_list()).
t_system_cpu_topology_level_entry_list() ->
t_list(t_system_cpu_topology_level_entry()).
t_system_cpu_topology_level_entry() ->
t_sup(t_tuple([t_system_cpu_topology_level_tag(),
t_system_cpu_topology_sublevel_entry()]),
t_tuple([t_system_cpu_topology_level_tag(),
t_system_cpu_topology_info_list(),
t_system_cpu_topology_sublevel_entry()])).
t_system_cpu_topology_sublevel_entry() ->
t_sup(t_system_cpu_topology_logical_cpu_id(),
t_list(t_tuple())). % approximation
t_system_cpu_topology_level_tag() ->
t_atoms(['core', 'node', 'processor', 'thread']).
t_system_cpu_topology_logical_cpu_id() ->
t_tuple([t_atom('logical'), t_non_neg_fixnum()]).
t_system_cpu_topology_info_list() ->
t_nil(). % it may be extended in the future
t_internal_cpu_topology() -> %% Internal undocumented type
t_sup(t_list(t_tuple([t_atom('cpu'),
t_non_neg_fixnum(),
t_non_neg_fixnum(),
t_non_neg_fixnum(),
t_non_neg_fixnum(),
t_non_neg_fixnum(),
t_non_neg_fixnum()])),
t_atom('undefined')).
t_scheduler_bind_type_args() ->
t_sup([t_atom('default_bind'),
t_atom('no_node_processor_spread'),
t_atom('no_node_thread_spread'),
t_atom('no_spread'),
t_atom('processor_spread'),
t_atom('spread'),
t_atom('thread_spread'),
t_atom('thread_no_node_processor_spread'),
t_atom('unbound')]).
t_scheduler_bind_type_results() ->
t_sup([t_atom('no_node_processor_spread'),
t_atom('no_node_thread_spread'),
t_atom('no_spread'),
t_atom('processor_spread'),
t_atom('spread'),
t_atom('thread_spread'),
t_atom('thread_no_node_processor_spread'),
t_atom('unbound')]).
t_system_monitor_settings() ->
t_sup([t_atom('undefined'),
t_tuple([t_pid(), t_system_monitor_options()])]).
t_system_monitor_options() ->
t_list(t_sup([t_atom('busy_port'),
t_atom('busy_dist_port'),
t_tuple([t_atom('long_gc'), t_integer()]),
t_tuple([t_atom('large_heap'), t_integer()])])).
t_system_multi_scheduling() ->
t_sup([t_atom('blocked'), t_atom('disabled'), t_atom('enabled')]).
t_system_profile_options() ->
t_list(t_sup([t_atom('exclusive'),
t_atom('runnable_ports'),
t_atom('runnable_procs'),
t_atom('scheduler')])).
t_system_profile_return() ->
t_sup(t_atom('undefined'),
t_tuple([t_sup(t_pid(), t_port()), t_system_profile_options()])).
%% =====================================================================
%% These are used for the built-in functions of 'ets'
%% =====================================================================
t_tab() ->
t_sup(t_tid(), t_atom()).
t_match_pattern() ->
t_sup(t_atom(), t_tuple()).
t_matchspecs() ->
t_list(t_tuple([t_match_pattern(), t_list(), t_list()])).
t_matchres() ->
t_sup(t_tuple([t_list(), t_any()]), t_atom('$end_of_table')).
%% From the 'ets' documentation
%%-----------------------------
%% Option = Type | Access | named_table | {keypos,Pos}
%% | {heir,pid(),HeirData} | {heir,none}
%% | {write_concurrency,boolean()}
%% Type = set | ordered_set | bag | duplicate_bag
%% Access = public | protected | private
%% Pos = integer()
%% HeirData = term()
t_ets_new_options() ->
t_list(t_sup([t_atom('set'),
t_atom('ordered_set'),
t_atom('bag'),
t_atom('duplicate_bag'),
t_atom('public'),
t_atom('protected'),
t_atom('private'),
t_atom('named_table'),
t_tuple([t_atom('heir'), t_pid(), t_any()]),
t_tuple([t_atom('heir'), t_atom('none')]),
t_tuple([t_atom('keypos'), t_integer()]),
t_tuple([t_atom('write_concurrency'), t_boolean()])])).
t_ets_info_items() ->
t_sup([t_atom('fixed'),
t_atom('safe_fixed'),
t_atom('keypos'),
t_atom('memory'),
t_atom('name'),
t_atom('named_table'),
t_atom('node'),
t_atom('owner'),
t_atom('protection'),
t_atom('size'),
t_atom('type')]).
%% =====================================================================
%% These are used for the built-in functions of 'file'
%% =====================================================================
t_file_io_device() ->
t_sup(t_pid(), t_tuple([t_atom('file_descriptor'), t_atom(), t_any()])).
t_file_name() ->
t_sup([t_atom(),
t_string(),
%% DeepList = [char() | atom() | DeepList] -- approximation below
t_list(t_sup([t_atom(), t_string(), t_list()]))]).
t_file_open_option() ->
t_sup([t_atom('read'),
t_atom('write'),
t_atom('append'),
t_atom('raw'),
t_atom('binary'),
t_atom('delayed_write'),
t_atom('read_ahead'),
t_atom('compressed'),
t_tuple([t_atom('delayed_write'),
t_pos_integer(), t_non_neg_integer()]),
t_tuple([t_atom('read_ahead'), t_pos_integer()])]).
%% This lists all Posix errors that can occur in file:*/* functions
t_file_posix_error() ->
t_sup([t_atom('eacces'),
t_atom('eagain'),
t_atom('ebadf'),
t_atom('ebusy'),
t_atom('edquot'),
t_atom('eexist'),
t_atom('efault'),
t_atom('efbig'),
t_atom('eintr'),
t_atom('einval'),
t_atom('eio'),
t_atom('eisdir'),
t_atom('eloop'),
t_atom('emfile'),
t_atom('emlink'),
t_atom('enametoolong'),
t_atom('enfile'),
t_atom('enodev'),
t_atom('enoent'),
t_atom('enomem'),
t_atom('enospc'),
t_atom('enotblk'),
t_atom('enotdir'),
t_atom('enotsup'),
t_atom('enxio'),
t_atom('eperm'),
t_atom('epipe'),
t_atom('erofs'),
t_atom('espipe'),
t_atom('esrch'),
t_atom('estale'),
t_atom('exdev')]).
t_file_return() ->
t_sup(t_atom('ok'), t_tuple([t_atom('error'), t_file_posix_error()])).
%% =====================================================================
%% These are used for the built-in functions of 'gen_tcp'
%% =====================================================================
t_gen_tcp_accept() ->
t_sup(t_tuple([t_atom('ok'), t_socket()]),
t_tuple([t_atom('error'), t_sup([t_atom('closed'),
t_atom('timeout'),
t_inet_posix_error()])])).
t_gen_tcp_address() ->
t_sup([t_string(), t_atom(), t_ip_address()]).
t_gen_tcp_port() ->
t_from_range(0, 16#FFFF).
t_gen_tcp_connect_option() ->
t_sup([t_atom('list'),
t_atom('binary'),
t_tuple([t_atom('ip'), t_ip_address()]),
t_tuple([t_atom('port'), t_gen_tcp_port()]),
t_tuple([t_atom('fd'), t_integer()]),
t_atom('inet6'),
t_atom('inet'),
t_inet_setoption()]).
t_gen_tcp_listen_option() ->
t_sup([t_atom('list'),
t_atom('binary'),
t_tuple([t_atom('backlog'), t_non_neg_integer()]),
t_tuple([t_atom('ip'), t_ip_address()]),
t_tuple([t_atom('fd'), t_integer()]),
t_atom('inet6'),
t_atom('inet'),
t_inet_setoption()]).
t_gen_tcp_recv() ->
t_sup(t_tuple([t_atom('ok'), t_packet()]),
t_tuple([t_atom('error'), t_sup([t_atom('closed'),
t_inet_posix_error()])])).
%% =====================================================================
%% These are used for the built-in functions of 'gen_udp'
%% =====================================================================
t_gen_udp_connect_option() ->
t_sup([t_atom('list'),
t_atom('binary'),
t_tuple([t_atom('ip'), t_ip_address()]),
t_tuple([t_atom('fd'), t_integer()]),
t_atom('inet6'),
t_atom('inet'),
t_inet_setoption()]).
t_gen_udp_recv() ->
t_sup(t_tuple([t_atom('ok'),
t_tuple([t_ip_address(),
t_gen_tcp_port(),
t_packet()])]),
t_tuple([t_atom('error'),
t_sup(t_atom('not_owner'), t_inet_posix_error())])).
%% =====================================================================
%% These are used for the built-in functions of 'hipe_bifs'
%% =====================================================================
t_trampoline() ->
t_sup(t_nil(), t_integer()).
t_immediate() ->
t_sup([t_nil(), t_atom(), t_fixnum()]).
t_immarray() ->
t_integer(). %% abstract data type
t_hiperef() ->
t_immarray().
t_bitarray() ->
t_bitstr().
t_bytearray() ->
t_binary().
t_insn_type() ->
t_sup([% t_atom('call'),
t_atom('load_mfa'),
t_atom('x86_abs_pcrel'),
t_atom('atom'),
t_atom('constant'),
t_atom('c_const'),
t_atom('closure')]).
%% =====================================================================
%% These are used for the built-in functions of 'inet'
%% =====================================================================
t_inet_setoption() ->
t_sup([%% first the 2-tuple options
t_tuple([t_atom('active'), t_sup(t_boolean(), t_atom('once'))]),
t_tuple([t_atom('broadcast'), t_boolean()]),
t_tuple([t_atom('delay_send'), t_boolean()]),
t_tuple([t_atom('dontroute'), t_boolean()]),
t_tuple([t_atom('exit_on_close'), t_boolean()]),
t_tuple([t_atom('header'), t_non_neg_integer()]),
t_tuple([t_atom('keepalive'), t_boolean()]),
t_tuple([t_atom('nodelay'), t_boolean()]),
t_tuple([t_atom('packet'), t_inet_setoption_packettype()]),
t_tuple([t_atom('packet_size'), t_non_neg_integer()]),
t_tuple([t_atom('read_packets'), t_non_neg_integer()]),
t_tuple([t_atom('recbuf'), t_non_neg_integer()]),
t_tuple([t_atom('reuseaddr'), t_boolean()]),
t_tuple([t_atom('send_timeout'), t_non_neg_integer()]),
t_tuple([t_atom('sndbuf'), t_non_neg_integer()]),
t_tuple([t_atom('priority'), t_non_neg_integer()]),
t_tuple([t_atom('tos'), t_non_neg_integer()]),
%% and a 4-tuple option
t_tuple([t_atom('raw'),
t_non_neg_integer(), % protocol level
t_non_neg_integer(), % option number
t_binary()])]). % actual option value
t_inet_setoption_packettype() ->
t_sup([t_atom('raw'),
t_integers([0,1,2,4]),
t_atom('asn1'), t_atom('cdr'), t_atom('sunrm'),
t_atom('fcgi'), t_atom('tpkt'), t_atom('line'),
t_atom('http'),
t_atom('http_bin')]). %% but t_atom('httph') is not needed
t_inet_posix_error() ->
t_atom(). %% XXX: Very underspecified
%% =====================================================================
%% These are used for the built-in functions of 'io'
%% =====================================================================
t_io_device() ->
t_sup(t_atom(), t_pid()).
%% The documentation in R11B-4 reads
%% Format ::= atom() | string() | binary()
%% but the Format can also be a (deep) list, hence the type below
t_io_format_string() ->
t_sup([t_atom(), t_list(), t_binary()]).
%% =====================================================================
%% These are used for the built-in functions of 're'; the functions
%% whose last name component starts with a capital letter are types
%% =====================================================================
t_re_MP() -> %% it's supposed to be an opaque data type
t_tuple([t_atom('re_pattern'), t_integer(), t_integer(), t_binary()]).
t_re_RE() ->
t_sup(t_re_MP(), t_iodata()).
t_re_compile_option() ->
t_sup([t_atoms(['anchored', 'caseless', 'dollar_endonly', 'dotall',
'extended', 'firstline', 'multiline', 'no_auto_capture',
'dupnames', 'ungreedy']),
t_tuple([t_atom('newline'), t_re_NLSpec()])]).
t_re_run_option() ->
t_sup([t_atoms(['anchored', 'global', 'notbol', 'noteol', 'notempty']),
t_tuple([t_atom('offset'), t_integer()]),
t_tuple([t_atom('newline'), t_re_NLSpec()]),
t_tuple([t_atom('capture'), t_re_ValueSpec()]),
t_tuple([t_atom('capture'), t_re_ValueSpec(), t_re_Type()]),
t_re_compile_option()]).
t_re_ErrorSpec() ->
t_tuple([t_string(), t_non_neg_integer()]).
t_re_Type() ->
t_atoms(['index', 'list', 'binary']).
t_re_NLSpec() ->
t_atoms(['cr', 'crlf', 'lf', 'anycrlf']).
t_re_ValueSpec() ->
t_sup(t_atoms(['all', 'all_but_first', 'first', 'none']), t_re_ValueList()).
t_re_ValueList() ->
t_list(t_sup([t_integer(), t_string(), t_atom()])).
t_re_Captured() ->
t_list(t_sup(t_re_CapturedData(), t_list(t_re_CapturedData()))).
t_re_CapturedData() ->
t_sup([t_tuple([t_integer(), t_integer()]), t_string(), t_binary()]).
%% =====================================================================
%% These are used for the built-in functions of 'unicode'
%% =====================================================================
t_ML() -> % a binary or a possibly deep list of integers or binaries
t_sup(t_list(t_sup([t_integer(), t_binary(), t_list()])), t_binary()).
t_encoding() ->
t_atoms(['latin1', 'unicode', 'utf8', 'utf16', 'utf32']).
t_encoding_a2b() -> % for the 2nd arg of atom_to_binary/2 and binary_to_atom/2
t_atoms(['latin1', 'unicode', 'utf8']).
%% =====================================================================
%% Some testing code for ranges below
%% =====================================================================
-ifdef(DO_ERL_BIF_TYPES_TEST).
test() ->
put(hipe_target_arch, amd64),
Bsl1 = type(erlang, 'bsl', 2, [t_from_range(1, 299), t_from_range(-4, 22)]),
Bsl2 = type(erlang, 'bsl', 2),
Bsl3 = type(erlang, 'bsl', 2, [t_from_range(1, 299), t_atom('pelle')]),
io:format("Bsl ~p ~p ~p~n", [Bsl1, Bsl2, Bsl3]),
Add1 = type(erlang, '+', 2, [t_from_range(1, 299), t_from_range(-4, 22)]),
Add2 = type(erlang, '+', 2),
Add3 = type(erlang, '+', 2, [t_from_range(1, 299), t_atom('pelle')]),
io:format("Add ~p ~p ~p~n", [Add1, Add2, Add3]),
Band1 = type(erlang, 'band', 2, [t_from_range(1, 29), t_from_range(34, 36)]),
Band2 = type(erlang, 'band', 2),
Band3 = type(erlang, 'band', 2, [t_from_range(1, 299), t_atom('pelle')]),
io:format("band ~p ~p ~p~n", [Band1, Band2, Band3]),
Bor1 = type(erlang, 'bor', 2, [t_from_range(1, 29), t_from_range(8, 11)]),
Bor2 = type(erlang, 'bor', 2),
Bor3 = type(erlang, 'bor', 2, [t_from_range(1, 299), t_atom('pelle')]),
io:format("bor ~p ~p ~p~n", [Bor1, Bor2, Bor3]),
io:format("inf_?"),
pos_inf = infinity_max([1, 4, 51, pos_inf]),
-12 = infinity_min([1, 142, -4, -12]),
neg_inf = infinity_max([neg_inf]),
io:format("width"),
4 = width({7, 9}),
pos_inf = width({neg_inf, 100}),
pos_inf = width({1, pos_inf}),
3 = width({-8, 7}),
0 = width({-1, 0}),
io:format("arith * "),
Mult1 = t_from_range(0, 12),
Mult2 = t_from_range(-21, 7),
Mult1 = type(erlang, '*', 2, [t_from_range(2,3), t_from_range(0,4)]),
Mult2 = type(erlang, '*', 2, [t_from_range(-7,-1), t_from_range(-1,3)]),
ok.
-endif.
