path: root/lib/dialyzer/src/dialyzer_dataflow.erl

%% -*- erlang-indent-level: 2 -*-
%%--------------------------------------------------------------------
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 2006-2012. All Rights Reserved.
%%
%% The contents of this file are subject to the Erlang Public License,
%% Version 1.1, (the "License"); you may not use this file except in
%% compliance with the License. You should have received a copy of the
%% Erlang Public License along with this software. If not, it can be
%% retrieved online at http://www.erlang.org/.
%%
%% Software distributed under the License is distributed on an "AS IS"
%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
%% the License for the specific language governing rights and limitations
%% under the License.
%%
%% %CopyrightEnd%
%%

%%%-------------------------------------------------------------------
%%% File    : dialyzer_dataflow.erl
%%% Author  : Tobias Lindahl <[email protected]>
%%% Description :
%%%
%%% Created : 19 Apr 2005 by Tobias Lindahl <[email protected]>
%%%-------------------------------------------------------------------

-module(dialyzer_dataflow).

-export([get_fun_types/4, get_warnings/5, format_args/3]).

%% Data structure interfaces.
-export([state__add_warning/2, state__cleanup/1,
	 state__duplicate/1, dispose_state/1,
         state__get_callgraph/1, state__get_races/1,
         state__get_records/1, state__put_callgraph/2,
         state__put_races/2, state__records_only/1]).

-export_type([state/0]).

-include("dialyzer.hrl").

-import(erl_types,
	[any_none/1, t_any/0, t_atom/0, t_atom/1, t_atom_vals/1,
	 t_binary/0, t_boolean/0,
	 t_bitstr/0, t_bitstr/2, t_bitstr_concat/1, t_bitstr_match/2,
	 t_cons/0, t_cons/2, t_cons_hd/1, t_cons_tl/1, t_contains_opaque/1,
	 t_find_opaque_mismatch/2, 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_inf/2, t_inf/3, t_inf_lists/2, t_inf_lists/3, t_inf_lists_masked/3,
	 t_integer/0, t_integers/1,
	 t_is_any/1, t_is_atom/1, t_is_atom/2, t_is_boolean/1, t_is_equal/2,
	 t_is_integer/1, t_is_nil/1, t_is_none/1, t_is_none_or_unit/1,
	 t_is_number/1, t_is_reference/1, t_is_pid/1, t_is_port/1,
	 t_is_subtype/2, t_is_unit/1,
	 t_limit/2, t_list/0, t_maybe_improper_list/0, t_module/0,
	 t_none/0, t_non_neg_integer/0, t_number/0, t_number_vals/1,
	 t_opaque_match_atom/2, t_opaque_match_record/2,
	 t_opaque_matching_structure/2,
	 t_pid/0, t_port/0, t_product/1, t_reference/0,
	 t_sup/1, t_sup/2, t_subtract/2, t_to_string/2, t_to_tlist/1,
	 t_tuple/0, t_tuple/1, t_tuple_args/1, t_tuple_subtypes/1,
	 t_unit/0, t_unopaque/1]).

%%-define(DEBUG, true).
%%-define(DEBUG_PP, true).
%%-define(DEBUG_TIME, true).

-ifdef(DEBUG).
-import(erl_types, [t_to_string/1]).
-define(debug(S_, L_), io:format(S_, L_)).
-else.
-define(debug(S_, L_), ok).
-endif.

%%--------------------------------------------------------------------

-define(no_arg, no_arg).

-define(TYPE_LIMIT, 3).

-record(state, {callgraph            :: dialyzer_callgraph:callgraph(),
		envs                 :: dict(),
		fun_tab		     :: dict(),
		plt		     :: dialyzer_plt:plt(),
		opaques              :: [erl_types:erl_type()],
		races = dialyzer_races:new() :: dialyzer_races:races(),
		records = dict:new() :: dict(),
		tree_map	     :: dict(),
		warning_mode = false :: boolean(),
		warnings = []        :: [dial_warning()],
		work                 :: {[_], [_], set()},
		module               :: module()
               }).

-record(map, {dict = dict:new()   :: dict(),
              subst = dict:new()  :: dict(),
              modified = []       :: [Key :: term()],
              modified_stack = [] :: [{[Key :: term()],reference()}],
              ref = undefined     :: reference() | undefined}).

%% Exported Types

-opaque state() :: #state{}.

%%--------------------------------------------------------------------

-spec get_warnings(cerl:c_module(), dialyzer_plt:plt(),
                   dialyzer_callgraph:callgraph(), dict(), set()) ->
	{[dial_warning()], dict()}.

get_warnings(Tree, Plt, Callgraph, Records, NoWarnUnused) ->
  State1 = analyze_module(Tree, Plt, Callgraph, Records, true),
  State2 = find_mismatched_record_patterns(Tree, State1),
  State3 =
    state__renew_warnings(state__get_warnings(State2, NoWarnUnused), State2),
  State4 = state__get_race_warnings(State3),
  {State4#state.warnings, state__all_fun_types(State4)}.

-spec get_fun_types(cerl:c_module(), dialyzer_plt:plt(),
                    dialyzer_callgraph:callgraph(), dict()) -> dict().

get_fun_types(Tree, Plt, Callgraph, Records) ->
  State = analyze_module(Tree, Plt, Callgraph, Records, false),
  state__all_fun_types(State).

%%% ===========================================================================
%%%
%%%  The analysis.
%%%
%%% ===========================================================================

analyze_module(Tree, Plt, Callgraph, Records, GetWarnings) ->
  debug_pp(Tree, false),
  Module = cerl:atom_val(cerl:module_name(Tree)),
  TopFun = cerl:ann_c_fun([{label, top}], [], Tree),
  State = state__new(Callgraph, TopFun, Plt, Module, Records),
  State1 = state__race_analysis(not GetWarnings, State),
  State2 = analyze_loop(State1),
  case GetWarnings of
    true ->
      State3 = state__set_warning_mode(State2),
      State4 = analyze_loop(State3),
      dialyzer_races:race(State4);
    false ->
      State2
  end.

analyze_loop(State) ->
  case state__get_work(State) of
    none -> State;
    {Fun, NewState1} ->
      {ArgTypes, IsCalled} = state__get_args_and_status(Fun, NewState1),
      case not IsCalled of
	true ->
	  ?debug("Not handling (not called) ~w: ~s\n",
		 [state__lookup_name(get_label(Fun), State),
		  t_to_string(t_product(ArgTypes))]),
	  analyze_loop(NewState1);
	false ->
	  case state__fun_env(Fun, NewState1) of
	    none ->
	      ?debug("Not handling (no env) ~w: ~s\n",
		     [state__lookup_name(get_label(Fun), State),
		      t_to_string(t_product(ArgTypes))]),
	      analyze_loop(NewState1);
	    Map ->
	      ?debug("Handling fun ~p: ~s\n",
		     [state__lookup_name(get_label(Fun), State),
		      t_to_string(state__fun_type(Fun, NewState1))]),
	      Vars = cerl:fun_vars(Fun),
	      Map1 = enter_type_lists(Vars, ArgTypes, Map),
	      Body = cerl:fun_body(Fun),
              FunLabel = get_label(Fun),
	      IsRaceAnalysisEnabled = is_race_analysis_enabled(State),
              NewState3 =
                case IsRaceAnalysisEnabled of
                  true ->
                    NewState2 = state__renew_curr_fun(
                      state__lookup_name(FunLabel, NewState1), FunLabel,
                      NewState1),
                    state__renew_race_list([], 0, NewState2);
		  false -> NewState1
                end,
	      {NewState4, _Map2, BodyType} =
		traverse(Body, Map1, NewState3),
	      ?debug("Done analyzing: ~w:~s\n",
		     [state__lookup_name(get_label(Fun), State),
		      t_to_string(t_fun(ArgTypes, BodyType))]),
              NewState5 =
                case IsRaceAnalysisEnabled of
                  true -> renew_race_code(NewState4);
                  false -> NewState4
                end,
              NewState6 =
                state__update_fun_entry(Fun, ArgTypes, BodyType, NewState5),
              ?debug("done adding stuff for ~w\n",
                     [state__lookup_name(get_label(Fun), State)]),
              analyze_loop(NewState6)
	  end
      end
  end.

traverse(Tree, Map, State) ->
  ?debug("Handling ~p\n", [cerl:type(Tree)]),
  %%debug_pp_map(Map),
  case cerl:type(Tree) of
    alias ->
      %% This only happens when checking for illegal record patterns
      %% so the handling is a bit rudimentary.
      traverse(cerl:alias_pat(Tree), Map, State);
    apply ->
      handle_apply(Tree, Map, State);
    binary ->
      Segs = cerl:binary_segments(Tree),
      {State1, Map1, SegTypes} = traverse_list(Segs, Map, State),
      {State1, Map1, t_bitstr_concat(SegTypes)};
    bitstr ->
      handle_bitstr(Tree, Map, State);
    call ->
      handle_call(Tree, Map, State);
    'case' ->
      handle_case(Tree, Map, State);
    'catch' ->
      {State1, _Map1, _} = traverse(cerl:catch_body(Tree), Map, State),
      {State1, Map, t_any()};
    cons ->
      handle_cons(Tree, Map, State);
    'fun' ->
      Type = state__fun_type(Tree, State),
      case state__warning_mode(State) of
        true -> {State, Map, Type};
        false ->
          State2 = state__add_work(get_label(Tree), State),
          State3 = state__update_fun_env(Tree, Map, State2),
          {State3, Map, Type}
      end;
    'let' ->
      handle_let(Tree, Map, State);
    letrec ->
      Defs = cerl:letrec_defs(Tree),
      Body = cerl:letrec_body(Tree),
      %% By not including the variables in scope we can assure that we
      %% will get the current function type when using the variables.
      FoldFun = fun({Var, Fun}, {AccState, AccMap}) ->
		    {NewAccState, NewAccMap0, FunType} =
		      traverse(Fun, AccMap, AccState),
		    NewAccMap = enter_type(Var, FunType, NewAccMap0),
		    {NewAccState, NewAccMap}
		end,
      {State1, Map1} = lists:foldl(FoldFun, {State, Map}, Defs),
      traverse(Body, Map1, State1);
    literal ->
      %% This is needed for finding records
      case cerl:unfold_literal(Tree) of
	Tree ->
	  Type = literal_type(Tree),
	  NewType =
	    case erl_types:t_opaque_match_atom(Type, State#state.opaques) of
	      [Opaque] -> Opaque;
	      _ -> Type
	    end,
	  {State, Map, NewType};
	NewTree -> traverse(NewTree, Map, State)
      end;
    module ->
      handle_module(Tree, Map, State);
    primop ->
      Type =
	case cerl:atom_val(cerl:primop_name(Tree)) of
	  match_fail -> t_none();
	  raise -> t_none();
	  bs_init_writable -> t_from_term(<<>>);
	  Other -> erlang:error({'Unsupported primop', Other})
	end,
      {State, Map, Type};
    'receive' ->
      handle_receive(Tree, Map, State);
    seq ->
      Arg = cerl:seq_arg(Tree),
      Body = cerl:seq_body(Tree),
      {State1, Map1, ArgType} = SMA = traverse(Arg, Map, State),
      case t_is_none_or_unit(ArgType) of
	true ->
	  SMA;
	false ->
	  State2 =
	    case (t_is_any(ArgType) orelse t_is_simple(ArgType)
		                    orelse is_call_to_send(Arg)) of
	      true -> % do not warn in these cases
		State1;
	      false ->
		state__add_warning(State1, ?WARN_UNMATCHED_RETURN, Arg,
				   {unmatched_return,
				    [format_type(ArgType, State1)]})
	    end,
	  traverse(Body, Map1, State2)
      end;
    'try' ->
      handle_try(Tree, Map, State);
    tuple ->
      handle_tuple(Tree, Map, State);
    values ->
      Elements = cerl:values_es(Tree),
      {State1, Map1, EsType} = traverse_list(Elements, Map, State),
      Type = t_product(EsType),
      {State1, Map1, Type};
    var ->
      ?debug("Looking up unknown variable: ~p\n", [Tree]),
      case state__lookup_type_for_letrec(Tree, State) of
	error ->
	  LType = lookup_type(Tree, Map),
	  Opaques = State#state.opaques,
	  case t_opaque_match_record(LType, Opaques) of
	    [Opaque] -> {State, Map, Opaque};
	    _ ->
	      case t_opaque_match_atom(LType, Opaques) of
		[Opaque] -> {State, Map, Opaque};
		_ -> {State, Map, LType}
	      end
	  end;
	{ok, Type} -> {State, Map, Type}
      end;
    Other ->
      erlang:error({'Unsupported type', Other})
  end.

traverse_list(Trees, Map, State) ->
  traverse_list(Trees, Map, State, []).

traverse_list([Tree|Tail], Map, State, Acc) ->
  {State1, Map1, Type} = traverse(Tree, Map, State),
  traverse_list(Tail, Map1, State1, [Type|Acc]);
traverse_list([], Map, State, Acc) ->
  {State, Map, lists:reverse(Acc)}.

%%________________________________________
%%
%% Special instructions
%%

handle_apply(Tree, Map, State) ->
  Args = cerl:apply_args(Tree),
  Op = cerl:apply_op(Tree),
  {State1, Map1, ArgTypes} = traverse_list(Args, Map, State),
  {State2, Map2, OpType} = traverse(Op, Map1, State1),
  case any_none(ArgTypes) of
    true ->
      {State2, Map2, t_none()};
    false ->
      {CallSitesKnown, FunList} =
	case state__lookup_call_site(Tree, State2) of
	  error -> {false, []};
	  {ok, [external]} -> {false, []};
	  {ok, List} -> {true, List}
	end,
      case CallSitesKnown of
	false ->
	  Arity = length(Args),
	  OpType1 = t_inf(OpType, t_fun(Arity, t_any())),
	  case t_is_none(OpType1) of
	    true ->
	      Msg = {fun_app_no_fun,
		     [format_cerl(Op), format_type(OpType, State2), Arity]},
	      State3 = state__add_warning(State2, ?WARN_FAILING_CALL,
					  Tree, Msg),
	      {State3, Map2, t_none()};
	    false ->
	      NewArgs = t_inf_lists(ArgTypes, t_fun_args(OpType1)),
	      case any_none(NewArgs) of
		true ->
		  Msg = {fun_app_args,
			 [format_args(Args, ArgTypes, State),
			  format_type(OpType, State)]},
		  State3 = state__add_warning(State2, ?WARN_FAILING_CALL,
					      Tree, Msg),
		  {State3, enter_type(Op, OpType1, Map2), t_none()};
		false ->
		  Map3 = enter_type_lists(Args, NewArgs, Map2),
		  Range0 = t_fun_range(OpType1),
		  Range =
		    case t_is_unit(Range0) of
		      true  -> t_none();
		      false -> Range0
		    end,
		  {State2, enter_type(Op, OpType1, Map3), Range}
	      end
	  end;
	true ->
	  FunInfoList = [{local, state__fun_info(Fun, State)}
			 || Fun <- FunList],
	  handle_apply_or_call(FunInfoList, Args, ArgTypes, Map2, Tree, State1)
      end
  end.

handle_apply_or_call(FunInfoList, Args, ArgTypes, Map, Tree, State) ->
  None = t_none(),
  handle_apply_or_call(FunInfoList, Args, ArgTypes, Map, Tree, State,
		       [None || _ <- ArgTypes], None).

handle_apply_or_call([{local, external}|Left], Args, ArgTypes, Map, Tree, State,
		     _AccArgTypes, _AccRet) ->
  handle_apply_or_call(Left, Args, ArgTypes, Map, Tree, State,
		       ArgTypes, t_any());
handle_apply_or_call([{TypeOfApply, {Fun, Sig, Contr, LocalRet}}|Left],
		     Args, ArgTypes, Map, Tree,
                     #state{opaques = Opaques} = State, AccArgTypes, AccRet) ->
  Any = t_any(),
  AnyArgs = [Any || _ <- Args],
  GenSig = {AnyArgs, fun(_) -> t_any() end},
  {CArgs, CRange} =
    case Contr of
      {value, #contract{args = As} = C} ->
	{As, fun(FunArgs) ->
		 dialyzer_contracts:get_contract_return(C, FunArgs)
	     end};
      none -> GenSig
    end,
  {BifArgs, BifRange} =
    case TypeOfApply of
      remote ->
	{M, F, A} = Fun,
	case erl_bif_types:is_known(M, F, A) of
	  true ->
	    IsBIF = true,
	    BArgs = erl_bif_types:arg_types(M, F, A),
	    BRange =
	      fun(FunArgs) ->
		  ArgPos = erl_bif_types:structure_inspecting_args(M, F, A),
		  NewFunArgs =
		    case ArgPos =:= [] of
		      true -> FunArgs;
		      false -> % some positions need to be un-opaqued
			N = length(FunArgs),
			PFs = lists:zip(lists:seq(1, N), FunArgs),
			[case ordsets:is_element(P, ArgPos) of
			   true  -> erl_types:t_unopaque(FArg, Opaques);
			   false -> FArg
			 end || {P, FArg} <- PFs]
		    end,
		  erl_bif_types:type(M, F, A, NewFunArgs)
	      end,
	    {BArgs, BRange};
	  false -> IsBIF = false, GenSig
	end;
      local -> IsBIF = false, GenSig
    end,
  {SigArgs, SigRange} =
    %% if there is hard-coded or contract information with opaque types,
    %% the checking for possible type violations needs to take place w.r.t.
    %% this information and not w.r.t. the structure-based success typing.
    case prefer_opaque_types(CArgs, BifArgs) of
      true -> {AnyArgs, t_any()}; % effectively forgets the success typing
      false ->
	case Sig of
	  {value, {SR, SA}} -> {SA, SR};
	  none -> {AnyArgs, t_any()}
	end
    end,
  ArgModeMask = [case lists:member(Arg, Opaques) of
                   true -> opaque;
                   false -> structured
                 end || Arg <- ArgTypes],
  NewArgsSig = t_inf_lists_masked(SigArgs, ArgTypes, ArgModeMask),
  NewArgsContract = t_inf_lists_masked(CArgs, ArgTypes, ArgModeMask),
  NewArgsBif = t_inf_lists_masked(BifArgs, ArgTypes, ArgModeMask),
  NewArgTypes0 = t_inf_lists_masked(NewArgsSig, NewArgsContract, ArgModeMask),
  NewArgTypes = t_inf_lists_masked(NewArgTypes0, NewArgsBif, ArgModeMask),
  BifRet = BifRange(NewArgTypes),
  {TmpArgTypes, TmpArgsContract} =
    case (TypeOfApply =:= remote) andalso (not IsBIF) of
      true ->
	List1 = lists:zip(CArgs, NewArgTypes),
	List2 = lists:zip(CArgs, NewArgsContract),
	{[erl_types:t_unopaque_on_mismatch(T1, T2, Opaques)
	  || {T1, T2} <- List1],
	 [erl_types:t_unopaque_on_mismatch(T1, T2, Opaques)
	  || {T1, T2} <- List2]};
      false  -> {NewArgTypes, NewArgsContract}
    end,
  ContrRet = CRange(TmpArgTypes),
  RetMode =
    case t_contains_opaque(ContrRet) orelse t_contains_opaque(BifRet) of
      true  -> opaque;
      false -> structured
    end,
  RetWithoutContr = t_inf(SigRange, BifRet, RetMode),
  RetWithoutLocal = t_inf(ContrRet, RetWithoutContr, RetMode),
  ?debug("--------------------------------------------------------\n", []),
  ?debug("Fun: ~p\n", [Fun]),
  ?debug("Args: ~s\n", [erl_types:t_to_string(t_product(ArgTypes))]),
  ?debug("NewArgsSig: ~s\n", [erl_types:t_to_string(t_product(NewArgsSig))]),
  ?debug("NewArgsContract: ~s\n",
	 [erl_types:t_to_string(t_product(NewArgsContract))]),
  ?debug("NewArgsBif: ~s\n", [erl_types:t_to_string(t_product(NewArgsBif))]),
  ?debug("NewArgTypes: ~s\n", [erl_types:t_to_string(t_product(NewArgTypes))]),
  ?debug("RetWithoutContr: ~s\n",[erl_types:t_to_string(RetWithoutContr)]),
  ?debug("RetWithoutLocal: ~s\n", [erl_types:t_to_string(RetWithoutLocal)]),
  ?debug("BifRet: ~s\n", [erl_types:t_to_string(BifRange(NewArgTypes))]),
  ?debug("ContrRet: ~s\n", [erl_types:t_to_string(CRange(TmpArgTypes))]),
  ?debug("SigRet: ~s\n", [erl_types:t_to_string(SigRange)]),
  State1 =
    case is_race_analysis_enabled(State) of
      true ->
        Ann = cerl:get_ann(Tree),
        File = get_file(Ann),
        Line = abs(get_line(Ann)),
        dialyzer_races:store_race_call(Fun, ArgTypes, Args,
                                       {File, Line}, State);
      false -> State
    end,
  FailedConj = any_none([RetWithoutLocal|NewArgTypes]),
  IsFailBif = t_is_none(BifRange(BifArgs)),
  IsFailSig = t_is_none(SigRange),
  State2 =
    case FailedConj andalso not (IsFailBif orelse IsFailSig) of
      true ->
	case t_is_none(RetWithoutLocal) andalso
	  not t_is_none(RetWithoutContr) andalso
	  not any_none(NewArgTypes) of
	  true ->
	    {value, C1} = Contr,
	    Contract = dialyzer_contracts:contract_to_string(C1),
	    {M1, F1, A1} = state__lookup_name(Fun, State),
	    ArgStrings = format_args(Args, ArgTypes, State),
	    CRet = erl_types:t_to_string(RetWithoutContr),
	    %% This Msg will be post_processed by dialyzer_succ_typings
	    Msg =
	      {contract_range, [Contract, M1, F1, A1, ArgStrings, CRet]},
	    state__add_warning(State1, ?WARN_CONTRACT_RANGE, Tree, Msg);
	  false ->
	    FailedSig = any_none(NewArgsSig),
	    FailedContract =
	      any_none([CRange(TmpArgsContract)|NewArgsContract]),
	    FailedBif = any_none([BifRange(NewArgsBif)|NewArgsBif]),
	    InfSig = t_inf(t_fun(SigArgs, SigRange),
			   t_fun(BifArgs, BifRange(BifArgs))),
	    FailReason =
	      apply_fail_reason(FailedSig, FailedBif, FailedContract),
	    Msg = get_apply_fail_msg(Fun, Args, ArgTypes, NewArgTypes, InfSig,
				     Contr, CArgs, State1, FailReason),
	    WarnType = case Msg of
			 {call, _} -> ?WARN_FAILING_CALL;
			 {apply, _} -> ?WARN_FAILING_CALL;
			 {call_with_opaque, _} -> ?WARN_OPAQUE;
			 {call_without_opaque, _} -> ?WARN_OPAQUE;
			 {opaque_type_test, _} -> ?WARN_OPAQUE
		       end,
	    state__add_warning(State1, WarnType, Tree, Msg)
	end;
      false -> State1
    end,
  State3 =
    case TypeOfApply of
      local ->
        case state__is_escaping(Fun, State2) of
          true -> State2;
          false ->
            ForwardArgs = [t_limit(X, ?TYPE_LIMIT) || X <- ArgTypes],
            forward_args(Fun, ForwardArgs, State2)
        end;
      remote ->
        add_bif_warnings(Fun, NewArgTypes, Tree, State2)
    end,
  NewAccArgTypes =
    case FailedConj of
      true -> AccArgTypes;
      false -> [t_sup(X, Y) || {X, Y} <- lists:zip(NewArgTypes, AccArgTypes)]
    end,
  TotalRet =
    case t_is_none(LocalRet) andalso t_is_unit(RetWithoutLocal) of
      true -> RetWithoutLocal;
      false -> t_inf(RetWithoutLocal, LocalRet, opaque)
    end,
  NewAccRet = t_sup(AccRet, TotalRet),
  ?debug("NewAccRet: ~s\n", [t_to_string(NewAccRet)]),
  handle_apply_or_call(Left, Args, ArgTypes, Map, Tree,
		       State3, NewAccArgTypes, NewAccRet);
handle_apply_or_call([], Args, _ArgTypes, Map, _Tree, State,
		     AccArgTypes, AccRet) ->
  NewMap = enter_type_lists(Args, AccArgTypes, Map),
  {State, NewMap, AccRet}.

apply_fail_reason(FailedSig, FailedBif, FailedContract) ->
  if
    (FailedSig orelse FailedBif) andalso (not FailedContract) -> only_sig;
    FailedContract andalso (not (FailedSig orelse FailedBif)) -> only_contract;
    true                                                      -> both
  end.

get_apply_fail_msg(Fun, Args, ArgTypes, NewArgTypes,
		   Sig, Contract, ContrArgs, State, FailReason) ->
  ArgStrings = format_args(Args, ArgTypes, State),
  ContractInfo =
    case Contract of
      {value, #contract{} = C} ->
	{dialyzer_contracts:is_overloaded(C),
	 dialyzer_contracts:contract_to_string(C)};
      none -> {false, none}
    end,
  EnumArgTypes =
    case NewArgTypes of
      [] -> [];
      _ -> lists:zip(lists:seq(1, length(NewArgTypes)), NewArgTypes)
    end,
  ArgNs = [Arg || {Arg, Type} <- EnumArgTypes, t_is_none(Type)],
  case state__lookup_name(Fun, State) of
    {M, F, _A} ->
      case is_opaque_type_test_problem(Fun, NewArgTypes, State) of
	true ->
	  [Opaque] = NewArgTypes,
	  {opaque_type_test, [atom_to_list(F), erl_types:t_to_string(Opaque)]};
	false ->
	  SigArgs = t_fun_args(Sig),
	  case is_opaque_related_problem(ArgNs, ArgTypes) of
	    true ->  %% an opaque term is used where a structured term is expected
	      ExpectedArgs =
		case FailReason of
		  only_sig -> SigArgs;
		  _ -> ContrArgs
		end,
	      {call_with_opaque, [M, F, ArgStrings, ArgNs, ExpectedArgs]};
	    false ->
	      case is_opaque_related_problem(ArgNs, SigArgs) orelse
		is_opaque_related_problem(ArgNs, ContrArgs) of
		true ->  %% a structured term is used where an opaque is expected
		  ExpectedTriples =
		    case FailReason of
		      only_sig -> expected_arg_triples(ArgNs, SigArgs, State);
		      _ -> expected_arg_triples(ArgNs, ContrArgs, State)
		    end,
		  {call_without_opaque, [M, F, ArgStrings, ExpectedTriples]};
		false -> %% there is a structured term clash in some argument
		  {call, [M, F, ArgStrings,
			  ArgNs, FailReason,
			  format_sig_args(Sig, State),
			  format_type(t_fun_range(Sig), State),
			  ContractInfo]}
	      end
	  end
      end;
    Label when is_integer(Label) ->
      {apply, [ArgStrings,
	       ArgNs, FailReason,
	       format_sig_args(Sig, State),
	       format_type(t_fun_range(Sig), State),
	       ContractInfo]}
  end.

%% returns 'true' if we are running with opaque on (not checked yet),
%% and there is either a contract or hard-coded type information with
%% opaque types
%% TODO: check that we are running with opaque types
%% TODO: check the return type also
prefer_opaque_types(CArgs, BifArgs) ->
  t_contains_opaque(t_product(CArgs))
    orelse t_contains_opaque(t_product(BifArgs)).

is_opaque_related_problem(ArgNs, ArgTypes) ->
  Fun = fun (N) -> erl_types:t_contains_opaque(lists:nth(N, ArgTypes)) end,
  ArgNs =/= [] andalso lists:all(Fun, ArgNs).

is_opaque_type_test_problem(Fun, ArgTypes, State) ->
  case Fun of
    {erlang, FN, 1} when FN =:= is_atom;      FN =:= is_boolean;
			 FN =:= is_binary;    FN =:= is_bitstring;
			 FN =:= is_float;     FN =:= is_function;
			 FN =:= is_integer;   FN =:= is_list;
			 FN =:= is_number;    FN =:= is_pid; FN =:= is_port;
			 FN =:= is_reference; FN =:= is_tuple ->
      [Type] = ArgTypes,
      erl_types:t_is_opaque(Type) andalso
	not lists:member(Type, State#state.opaques);
    _ -> false
  end.

expected_arg_triples(ArgNs, ArgTypes, State) ->
  [begin
     Arg = lists:nth(N, ArgTypes),
     {N, Arg, format_type(Arg, State)}
   end || N <- ArgNs].

add_bif_warnings({erlang, Op, 2}, [T1, T2] = Ts, Tree, State)
  when Op =:= '=:='; Op =:= '==' ->
  Type1 = erl_types:t_unopaque(T1, State#state.opaques),
  Type2 = erl_types:t_unopaque(T2, State#state.opaques),
  Inf = t_inf(T1, T2),
  Inf1 = t_inf(Type1, Type2),
  case t_is_none(Inf) andalso t_is_none(Inf1) andalso(not any_none(Ts))
    andalso (not is_int_float_eq_comp(T1, Op, T2)) of
    true ->
      Args = case erl_types:t_is_opaque(T1) of
	       true  -> [format_type(T2, State), Op, format_type(T1, State)];
	       false -> [format_type(T1, State), Op, format_type(T2, State)]
	     end,
      case any_opaque(Ts) of
	true ->
	  state__add_warning(State, ?WARN_OPAQUE, Tree, {opaque_eq, Args});
	false ->
	  state__add_warning(State, ?WARN_MATCHING, Tree, {exact_eq, Args})
      end;
    false ->
      State
  end;
add_bif_warnings({erlang, Op, 2}, [T1, T2] = Ts, Tree, State)
  when Op =:= '=/='; Op =:= '/=' ->
  Inf = t_inf(T1, T2),
  case t_is_none(Inf) andalso (not any_none(Ts))
    andalso (not is_int_float_eq_comp(T1, Op, T2)) andalso any_opaque(Ts) of
    true ->
      Args = case erl_types:t_is_opaque(T1) of
	       true  -> [format_type(T2, State), Op, format_type(T1, State)];
	       false -> [format_type(T1, State), Op, format_type(T2, State)]
	     end,
      state__add_warning(State, ?WARN_OPAQUE, Tree, {opaque_neq, Args});
    false ->
      State
  end;
add_bif_warnings(_, _, _, State) ->
  State.

is_int_float_eq_comp(T1, Op, T2) ->
  (Op =:= '==' orelse Op =:= '/=') andalso
    ((erl_types:t_is_float(T1) andalso erl_types:t_is_integer(T2)) orelse
     (erl_types:t_is_integer(T1) andalso erl_types:t_is_float(T2))).

%%----------------------------------------

handle_bitstr(Tree, Map, State) ->
  %% Construction of binaries.
  Size = cerl:bitstr_size(Tree),
  Val = cerl:bitstr_val(Tree),
  BitstrType = cerl:concrete(cerl:bitstr_type(Tree)),
  {State1, Map1, SizeType0} = traverse(Size, Map, State),
  {State2, Map2, ValType0} = traverse(Val, Map1, State1),
  case cerl:bitstr_bitsize(Tree) of
    BitSz when BitSz =:= all orelse BitSz =:= utf ->
      ValType =
	case BitSz of
	  all ->
	    true = (BitstrType =:= binary),
	    t_inf(ValType0, t_bitstr());
	  utf ->
	    true = lists:member(BitstrType, [utf8, utf16, utf32]),
	    t_inf(ValType0, t_integer())
	end,
      Map3 = enter_type(Val, ValType, Map2),
      case t_is_none(ValType) of
	true ->
	  Msg = {bin_construction, ["value",
				    format_cerl(Val), format_cerl(Tree),
				    format_type(ValType0, State2)]},
	  State3 = state__add_warning(State2, ?WARN_BIN_CONSTRUCTION, Val, Msg),
	  {State3, Map3, t_none()};
	false ->
	  {State2, Map3, t_bitstr()}
      end;
    BitSz when is_integer(BitSz) orelse BitSz =:= any ->
      SizeType = t_inf(SizeType0, t_non_neg_integer()),
      ValType =
	case BitstrType of
	  binary -> t_inf(ValType0, t_bitstr());
	  float -> t_inf(ValType0, t_number());
	  integer -> t_inf(ValType0, t_integer())
	end,
      case any_none([SizeType, ValType]) of
	true ->
	  {Msg, Offending} =
	    case t_is_none(SizeType) of
	      true ->
		{{bin_construction,
		  ["size", format_cerl(Size), format_cerl(Tree),
		   format_type(SizeType0, State2)]},
		 Size};
	      false ->
		{{bin_construction,
		  ["value", format_cerl(Val), format_cerl(Tree),
		   format_type(ValType0, State2)]},
		 Val}
	    end,
	  State3 = state__add_warning(State2, ?WARN_BIN_CONSTRUCTION,
				      Offending, Msg),
	  {State3, Map2, t_none()};
	false ->
	  UnitVal = cerl:concrete(cerl:bitstr_unit(Tree)),
	  Type =
	    case t_number_vals(SizeType) of
	      [OneSize] -> t_bitstr(0, OneSize * UnitVal);
	      _ ->
		MinSize = erl_types:number_min(SizeType),
		t_bitstr(UnitVal, UnitVal * MinSize)
	    end,
	  Map3 = enter_type_lists([Val, Size, Tree],
				  [ValType, SizeType, Type], Map2),
	  {State2, Map3, Type}
      end
  end.

%%----------------------------------------

handle_call(Tree, Map, State) ->
  M = cerl:call_module(Tree),
  F = cerl:call_name(Tree),
  Args = cerl:call_args(Tree),
  MFAList = [M, F|Args],
  {State1, Map1, [MType0, FType0|As]} = traverse_list(MFAList, Map, State),
  %% Module and function names should be treated as *structured terms*
  %% even if they happen to be identical to an atom (or tuple) which
  %% is also involved in the definition of an opaque data type.
  MType = t_inf(t_module(), t_unopaque(MType0)),
  FType = t_inf(t_atom(), t_unopaque(FType0)),
  Map2 = enter_type_lists([M, F], [MType, FType], Map1),
  case any_none([MType, FType|As]) of
    true ->
      State2 =
	case t_is_none(MType) andalso (not t_is_none(MType0)) of
	  true -> % This is a problem we just detected; not a known one
	    MS = format_cerl(M),
	    Msg = {app_call, [MS, format_cerl(F),
			      format_args(Args, As, State1),
			      MS, format_type(t_module(), State1),
			      format_type(MType0, State1)]},
	    state__add_warning(State1, ?WARN_FAILING_CALL, Tree, Msg);
	  false ->
	    case t_is_none(FType) andalso (not t_is_none(FType0)) of
	      true ->
		FS = format_cerl(F),
		Msg = {app_call, [format_cerl(M), FS,
				  format_args(Args, As, State1),
				  FS, format_type(t_atom(), State1),
				  format_type(FType0, State1)]},
		state__add_warning(State1, ?WARN_FAILING_CALL, Tree, Msg);
	      false -> State1
	    end
	end,
      {State2, Map2, t_none()};
    false ->
      case t_is_atom(MType) of
	true ->
	  %% XXX: Consider doing this for all combinations of MF
	  case {t_atom_vals(MType), t_atom_vals(FType)} of
	    {[MAtom], [FAtom]} ->
	      FunInfo = [{remote, state__fun_info({MAtom, FAtom, length(Args)},
						  State1)}],
	      handle_apply_or_call(FunInfo, Args, As, Map2, Tree, State1);
	    {_MAtoms, _FAtoms} ->
	      {State1, Map2, t_any()}
	  end;
	false ->
	  {State1, Map2, t_any()}
      end
  end.

%%----------------------------------------

handle_case(Tree, Map, State) ->
  Arg = cerl:case_arg(Tree),
  Clauses = filter_match_fail(cerl:case_clauses(Tree)),
  {State1, Map1, ArgType} = SMA = traverse(Arg, Map, State),
  case t_is_none_or_unit(ArgType) of
    true -> SMA;
    false ->
      State2 =
        case is_race_analysis_enabled(State) of
          true ->
	    {RaceList, RaceListSize} = get_race_list_and_size(State1),
            state__renew_race_list([beg_case|RaceList],
                                   RaceListSize + 1, State1);
          false -> State1
        end,
      Map2 = join_maps_begin(Map1),
      {MapList, State3, Type} =
	handle_clauses(Clauses, Arg, ArgType, ArgType, State2,
		       [], Map2, [], []),
      Map3 = join_maps_end(MapList, Map2),
      debug_pp_map(Map2),
      {State3, Map3, Type}
  end.

%%----------------------------------------

handle_cons(Tree, Map, State) ->
  Hd = cerl:cons_hd(Tree),
  Tl = cerl:cons_tl(Tree),
  {State1, Map1, HdType} = traverse(Hd, Map, State),
  {State2, Map2, TlType} = traverse(Tl, Map1, State1),
  State3 =
    case t_is_none(t_inf(TlType, t_list())) of
      true ->
	Msg = {improper_list_constr, [format_type(TlType, State2)]},
	state__add_warning(State2, ?WARN_NON_PROPER_LIST, Tree, Msg);
      false ->
	State2
    end,
  Type = t_cons(HdType, TlType),
  {State3, Map2, Type}.

%%----------------------------------------

handle_let(Tree, Map, State) ->
  IsRaceAnalysisEnabled = is_race_analysis_enabled(State),
  Arg = cerl:let_arg(Tree),
  Vars = cerl:let_vars(Tree),
  {Map0, State0} =
    case cerl:is_c_var(Arg) of
      true ->
	[Var] = Vars,
	{enter_subst(Var, Arg, Map),
         case IsRaceAnalysisEnabled of
           true ->
	    {RaceList, RaceListSize} = get_race_list_and_size(State),
             state__renew_race_list(
               [dialyzer_races:let_tag_new(Var, Arg)|RaceList],
               RaceListSize + 1, State);
           false -> State
         end};
      false -> {Map, State}
    end,
  Body = cerl:let_body(Tree),
  {State1, Map1, ArgTypes} = SMA = traverse(Arg, Map0, State0),
  State2 =
    case IsRaceAnalysisEnabled andalso cerl:is_c_call(Arg) of
      true ->
        Mod = cerl:call_module(Arg),
        Name = cerl:call_name(Arg),
        case cerl:is_literal(Mod) andalso
             cerl:concrete(Mod) =:= ets andalso
             cerl:is_literal(Name) andalso
             cerl:concrete(Name) =:= new of
          true -> renew_race_public_tables(Vars, State1);
          false -> State1
        end;
      false -> State1
    end,
  case t_is_none_or_unit(ArgTypes) of
    true -> SMA;
    false ->
      Map2 = enter_type_lists(Vars, t_to_tlist(ArgTypes), Map1),
      traverse(Body, Map2, State2)
  end.

%%----------------------------------------

handle_module(Tree, Map, State) ->
  %% By not including the variables in scope we can assure that we
  %% will get the current function type when using the variables.
  Defs = cerl:module_defs(Tree),
  PartFun = fun({_Var, Fun}) ->
		state__is_escaping(get_label(Fun), State)
	    end,
  {Defs1, Defs2} = lists:partition(PartFun, Defs),
  Letrec = cerl:c_letrec(Defs1, cerl:c_int(42)),
  {State1, Map1, _FunTypes} = traverse(Letrec, Map, State),
  %% Also add environments for the other top-level functions.
  VarTypes = [{Var, state__fun_type(Fun, State1)} || {Var, Fun} <- Defs],
  EnvMap = enter_type_list(VarTypes, Map),
  FoldFun = fun({_Var, Fun}, AccState) ->
		state__update_fun_env(Fun, EnvMap, AccState)
	    end,
  State2 = lists:foldl(FoldFun, State1, Defs2),
  {State2, Map1, t_any()}.

%%----------------------------------------

handle_receive(Tree, Map, State) ->
  Clauses = filter_match_fail(cerl:receive_clauses(Tree)),
  Timeout = cerl:receive_timeout(Tree),
  State1 =
    case is_race_analysis_enabled(State) of
      true ->
	{RaceList, RaceListSize} = get_race_list_and_size(State),
        state__renew_race_list([beg_case|RaceList],
                               RaceListSize + 1, State);
      false -> State
    end,
  {MapList, State2, ReceiveType} =
    handle_clauses(Clauses, ?no_arg, t_any(), t_any(), State1, [], Map,
                   [], []),
  Map1 = join_maps(MapList, Map),
  {State3, Map2, TimeoutType} = traverse(Timeout, Map1, State2),
  case (t_is_atom(TimeoutType) andalso
	(t_atom_vals(TimeoutType) =:= ['infinity'])) of
    true ->
      {State3, Map2, ReceiveType};
    false ->
      Action = cerl:receive_action(Tree),
      {State4, Map3, ActionType} = traverse(Action, Map, State3),
      Map4 = join_maps([Map3, Map1], Map),
      Type = t_sup(ReceiveType, ActionType),
      {State4, Map4, Type}
  end.

%%----------------------------------------

handle_try(Tree, Map, State) ->
  Arg = cerl:try_arg(Tree),
  EVars = cerl:try_evars(Tree),
  Vars = cerl:try_vars(Tree),
  Body = cerl:try_body(Tree),
  Handler = cerl:try_handler(Tree),
  {State1, Map1, ArgType} = traverse(Arg, Map, State),
  Map2 = mark_as_fresh(Vars, Map1),
  {SuccState, SuccMap, SuccType} =
    case bind_pat_vars(Vars, t_to_tlist(ArgType), [], Map2, State1) of
      {error, _, _, _, _} ->
	{State1, map__new(), t_none()};
      {SuccMap1, VarTypes} ->
	%% Try to bind the argument. Will only succeed if
	%% it is a simple structured term.
	SuccMap2 =
	  case bind_pat_vars_reverse([Arg], [t_product(VarTypes)], [],
				     SuccMap1, State1) of
	    {error, _, _, _, _} -> SuccMap1;
	    {SM, _} -> SM
	  end,
	traverse(Body, SuccMap2, State1)
    end,
  ExcMap1 = mark_as_fresh(EVars, Map),
  {State2, ExcMap2, HandlerType} = traverse(Handler, ExcMap1, SuccState),
  TryType = t_sup(SuccType, HandlerType),
  {State2, join_maps([ExcMap2, SuccMap], Map1), TryType}.

%%----------------------------------------

handle_tuple(Tree, Map, State) ->
  Elements = cerl:tuple_es(Tree),
  {State1, Map1, EsType} = traverse_list(Elements, Map, State),
  TupleType = t_tuple(EsType),
  case t_is_none(TupleType) of
    true ->
      {State1, Map1, t_none()};
    false ->
      %% Let's find out if this is a record or opaque construction.
      case Elements of
	[Tag|Left] ->
	  case cerl:is_c_atom(Tag) of
	    true ->
	      TagVal = cerl:atom_val(Tag),
	      case t_opaque_match_record(TupleType, State1#state.opaques) of
		[Opaque] ->
		  RecStruct = t_opaque_matching_structure(TupleType, Opaque),
		  RecFields = t_tuple_args(RecStruct),
		  case bind_pat_vars(Elements, RecFields, [], Map1, State1) of
		    {error, _, ErrorPat, ErrorType, _} ->
		      Msg = {record_constr,
			     [TagVal, format_patterns(ErrorPat),
			      format_type(ErrorType, State1)]},
		      State2 = state__add_warning(State1, ?WARN_MATCHING,
						  Tree, Msg),
		      {State2, Map1, t_none()};
		    {Map2, _ETypes} ->
		      {State1, Map2, Opaque}
		  end;
		_ ->
		  case state__lookup_record(TagVal, length(Left), State1) of
		    error -> {State1, Map1, TupleType};
		    {ok, RecType} ->
		      InfTupleType = t_inf(RecType, TupleType),
		      case t_is_none(InfTupleType) of
			true ->
			  RecC = format_type(TupleType, State1),
			  FieldDiffs = format_field_diffs(TupleType, State1),
			  Msg = {record_constr, [RecC, FieldDiffs]},
			  State2 = state__add_warning(State1, ?WARN_MATCHING,
						      Tree, Msg),
			  {State2, Map1, t_none()};
			false ->
			  case bind_pat_vars(Elements, t_tuple_args(RecType),
					     [], Map1, State1) of
			    {error, bind, ErrorPat, ErrorType, _} ->
			      Msg = {record_constr,
				     [TagVal, format_patterns(ErrorPat),
				      format_type(ErrorType, State1)]},
			      State2 = state__add_warning(State1, ?WARN_MATCHING,
							  Tree, Msg),
			      {State2, Map1, t_none()};
			    {Map2, ETypes} ->
			      {State1, Map2, t_tuple(ETypes)}
			  end
		      end
		  end
	      end;
	    false ->
	      {State1, Map1, t_tuple(EsType)}
	  end;
	[] ->
	  {State1, Map1, t_tuple([])}
      end
  end.

%%----------------------------------------
%% Clauses
%%
handle_clauses([C|Left], Arg, ArgType, OrigArgType, State, CaseTypes, MapIn,
	       Acc, ClauseAcc) ->
  IsRaceAnalysisEnabled = is_race_analysis_enabled(State),
  State1 =
    case IsRaceAnalysisEnabled of
      true ->
	{RaceList, RaceListSize} = get_race_list_and_size(State),
        state__renew_race_list(
          [dialyzer_races:beg_clause_new(Arg, cerl:clause_pats(C),
                                         cerl:clause_guard(C))|
           RaceList], RaceListSize + 1,
          State);
      false -> State
    end,
  {State2, ClauseMap, BodyType, NewArgType} =
    do_clause(C, Arg, ArgType, OrigArgType, MapIn, State1),
  {NewClauseAcc, State3} =
    case IsRaceAnalysisEnabled of
      true ->
	{RaceList1, RaceListSize1} = get_race_list_and_size(State2),
        EndClause = dialyzer_races:end_clause_new(Arg, cerl:clause_pats(C),
                                                  cerl:clause_guard(C)),
        {[EndClause|ClauseAcc],
         state__renew_race_list([EndClause|RaceList1],
                                RaceListSize1 + 1, State2)};
      false -> {ClauseAcc, State2}
    end,
  {NewCaseTypes, NewAcc} =
    case t_is_none(BodyType) of
      true -> {CaseTypes, Acc};
      false -> {[BodyType|CaseTypes], [ClauseMap|Acc]}
    end,
  handle_clauses(Left, Arg, NewArgType, OrigArgType, State3,
                 NewCaseTypes, MapIn, NewAcc, NewClauseAcc);
handle_clauses([], _Arg, _ArgType, _OrigArgType, State, CaseTypes, _MapIn, Acc,
	       ClauseAcc) ->
  State1 =
    case is_race_analysis_enabled(State) of
      true ->
	{RaceList, RaceListSize} = get_race_list_and_size(State),
        state__renew_race_list(
          [dialyzer_races:end_case_new(ClauseAcc)|RaceList],
	  RaceListSize + 1, State);
      false -> State
    end,
  {lists:reverse(Acc), State1, t_sup(CaseTypes)}.

do_clause(C, Arg, ArgType0, OrigArgType, Map, State) ->
  Pats = cerl:clause_pats(C),
  Guard = cerl:clause_guard(C),
  Body = cerl:clause_body(C),
  State1 =
    case is_race_analysis_enabled(State) of
      true ->
        state__renew_fun_args(Pats, State);
      false -> State
    end,
  Map0 = mark_as_fresh(Pats, Map),
  Map1 = if Arg =:= ?no_arg -> Map0;
	    true -> bind_subst(Arg, Pats, Map0)
	 end,
  BindRes =
    case t_is_none(ArgType0) of
      true ->
	{error, bind, Pats, ArgType0, ArgType0};
      false ->
	ArgTypes =
	  case t_is_any(ArgType0) of
	    true -> [ArgType0 || _ <- Pats];
	    false -> t_to_tlist(ArgType0)
	  end,
	bind_pat_vars(Pats, ArgTypes, [], Map1, State1)
    end,
  case BindRes of
    {error, ErrorType, NewPats, Type, OpaqueTerm} ->
      ?debug("Failed binding pattern: ~s\nto ~s\n",
	     [cerl_prettypr:format(C), format_type(ArgType0, State1)]),
      case state__warning_mode(State1) of
        false ->
          {State1, Map, t_none(), ArgType0};
	true ->
	  PatString =
	    case ErrorType of
	      bind   -> format_patterns(Pats);
	      record -> format_patterns(Pats);
	      opaque -> format_patterns(NewPats)
	    end,
	  {Msg, Force} =
	    case t_is_none(ArgType0) of
	      true ->
		PatTypes = [PatString, format_type(OrigArgType, State1)],
		%% See if this is covered by an earlier clause or if it
		%% simply cannot match
		OrigArgTypes =
		  case t_is_any(OrigArgType) of
		    true -> Any = t_any(), [Any || _ <- Pats];
		    false -> t_to_tlist(OrigArgType)
		  end,
		Tag =
		  case bind_pat_vars(Pats, OrigArgTypes, [], Map1, State1) of
		    {error,   bind, _, _, _} -> pattern_match;
		    {error, record, _, _, _} -> record_match;
		    {error, opaque, _, _, _} -> opaque_match;
		    {_, _} -> pattern_match_cov
		  end,
		{{Tag, PatTypes}, false};
	      false ->
		%% Try to find out if this is a default clause in a list
		%% comprehension and supress this. A real Hack(tm)
		Force0 =
		  case is_compiler_generated(cerl:get_ann(C)) of
		    true ->
		      case Pats of
			[Pat] ->
			  case cerl:is_c_cons(Pat) of
			    true ->
			      not (cerl:is_c_var(cerl:cons_hd(Pat)) andalso
				   cerl:is_c_var(cerl:cons_tl(Pat)) andalso
				   cerl:is_literal(Guard) andalso
				   (cerl:concrete(Guard) =:= true));
			    false ->
			      true
			  end;
			[Pat0, Pat1] -> % binary comprehension
			  case cerl:is_c_cons(Pat0) of
			    true ->
			      not (cerl:is_c_var(cerl:cons_hd(Pat0)) andalso
				   cerl:is_c_var(cerl:cons_tl(Pat0)) andalso
                                   cerl:is_c_var(Pat1) andalso
				   cerl:is_literal(Guard) andalso
				   (cerl:concrete(Guard) =:= true));
			    false ->
			      true
			  end;
			_ -> true
		      end;
		    false ->
		      true
		  end,
		PatTypes = case ErrorType of
			     bind -> [PatString, format_type(ArgType0, State1)];
			     record -> [PatString, format_type(Type, State1)];
			     opaque -> [PatString, format_type(Type, State1),
					format_type(OpaqueTerm, State1)]
			   end,
		FailedTag = case ErrorType of
			      bind  -> pattern_match;
			      record -> record_match;
			      opaque -> opaque_match
			    end,
		{{FailedTag, PatTypes}, Force0}
	    end,
	  WarnType = case Msg of
		       {opaque_match, _} -> ?WARN_OPAQUE;
		       {pattern_match, _} -> ?WARN_MATCHING;
		       {record_match, _} -> ?WARN_MATCHING;
		       {pattern_match_cov, _} -> ?WARN_MATCHING
		     end,
          {state__add_warning(State1, WarnType, C, Msg, Force),
           Map, t_none(), ArgType0}
      end;
    {Map2, PatTypes} ->
      Map3 =
	case Arg =:= ?no_arg of
	  true -> Map2;
	  false ->
	    %% Try to bind the argument. Will only succeed if
	    %% it is a simple structured term.
	    case bind_pat_vars_reverse([Arg], [t_product(PatTypes)],
				       [], Map2, State1) of
	      {error, _, _, _, _} -> Map2;
	      {NewMap, _} -> NewMap
	    end
	end,
      NewArgType =
	case Arg =:= ?no_arg of
	  true -> ArgType0;
	  false ->
	    GenType = dialyzer_typesig:get_safe_underapprox(Pats, Guard),
	    t_subtract(t_product(t_to_tlist(ArgType0)), GenType)
	end,
      case bind_guard(Guard, Map3, State1) of
	{error, Reason} ->
	  ?debug("Failed guard: ~s\n",
		 [cerl_prettypr:format(C, [{hook, cerl_typean:pp_hook()}])]),
	  PatString = format_patterns(Pats),
	  DefaultMsg =
	    case Pats =:= [] of
	      true -> {guard_fail, []};
	      false ->
		{guard_fail_pat, [PatString, format_type(ArgType0, State1)]}
	    end,
	  State2 =
	    case Reason of
	      none -> state__add_warning(State1, ?WARN_MATCHING, C, DefaultMsg);
	      {FailGuard, Msg} ->
		case is_compiler_generated(cerl:get_ann(FailGuard)) of
		  false ->
		    WarnType = case Msg of
				 {guard_fail, _} -> ?WARN_MATCHING;
				 {neg_guard_fail, _} -> ?WARN_MATCHING;
				 {opaque_guard, _} -> ?WARN_OPAQUE
			       end,
		    state__add_warning(State1, WarnType, FailGuard, Msg);
		  true ->
		    state__add_warning(State1, ?WARN_MATCHING, C, Msg)
		end
	    end,
          {State2, Map, t_none(), NewArgType};
        Map4 ->
          {RetState, RetMap, BodyType} = traverse(Body, Map4, State1),
          {RetState, RetMap, BodyType, NewArgType}
      end
  end.

bind_subst(Arg, Pats, Map) ->
  case cerl:type(Arg) of
    values ->
      bind_subst_list(cerl:values_es(Arg), Pats, Map);
    var ->
      [Pat] = Pats,
      enter_subst(Arg, Pat, Map);
    _ ->
      Map
  end.

bind_subst_list([Arg|ArgLeft], [Pat|PatLeft], Map) ->
  NewMap =
    case {cerl:type(Arg), cerl:type(Pat)} of
      {var, var} ->         enter_subst(Arg, Pat, Map);
      {var, alias} ->       enter_subst(Arg, cerl:alias_pat(Pat), Map);
      {literal, literal} -> Map;
      {T, T} ->             bind_subst_list(lists:flatten(cerl:subtrees(Arg)),
					    lists:flatten(cerl:subtrees(Pat)),
					    Map);
      _ ->                  Map
    end,
  bind_subst_list(ArgLeft, PatLeft, NewMap);
bind_subst_list([], [], Map) ->
  Map.

%%----------------------------------------
%% Patterns
%%

bind_pat_vars(Pats, Types, Acc, Map, State) ->
  try
    bind_pat_vars(Pats, Types, Acc, Map, State, false)
  catch
    throw:Error -> 
      %% Error = {error, bind | opaque | record, ErrorPats, ErrorType}
      Error 
  end.

bind_pat_vars_reverse(Pats, Types, Acc, Map, State) ->
  try
    bind_pat_vars(Pats, Types, Acc, Map, State, true)
  catch
    throw:Error -> 
      %% Error = {error, bind | opaque | record, ErrorPats, ErrorType}
      Error
  end.

bind_pat_vars([Pat|PatLeft], [Type|TypeLeft], Acc, Map, State, Rev) ->
  ?debug("Binding pat: ~w to ~s\n", [cerl:type(Pat), format_type(Type, State)]),
  {NewMap, TypeOut} =
    case cerl:type(Pat) of
      alias ->
	AliasPat = cerl:alias_pat(Pat),
	Var = cerl:alias_var(Pat),
	Map1 = enter_subst(Var, AliasPat, Map),
	{Map2, [PatType]} = bind_pat_vars([AliasPat], [Type], [],
					  Map1, State, Rev),
	{enter_type(Var, PatType, Map2), PatType};
      binary ->
	%% Cannot bind the binary if we are in reverse match since
	%% binary patterns and binary construction are not symmetric.
	case Rev of
	  true -> {Map, t_bitstr()};
	  false ->
	    BinType = t_inf(t_bitstr(), Type),
	    case t_is_none(BinType) of
	      true -> bind_error([Pat], Type, t_none(), bind);
	      false ->
		Segs = cerl:binary_segments(Pat),
		{Map1, SegTypes} = bind_bin_segs(Segs, BinType, Map, State),
		{Map1, t_bitstr_concat(SegTypes)}
	    end
	end;
      cons ->
	Cons = t_inf(Type, t_cons()),
	case t_is_none(Cons) of
	  true ->
	    bind_opaque_pats(t_cons(), Type, Pat, Map, State, Rev);
	  false ->
	    {Map1, [HdType, TlType]} =
	      bind_pat_vars([cerl:cons_hd(Pat), cerl:cons_tl(Pat)],
			    [t_cons_hd(Cons), t_cons_tl(Cons)],
			    [], Map, State, Rev),
	    {Map1, t_cons(HdType, TlType)}
	end;
      literal ->
	Literal = literal_type(Pat),
	LiteralOrOpaque =
	  case t_opaque_match_atom(Literal, State#state.opaques) of
	    [Opaque] -> Opaque;
	    _ -> Literal
	  end,
	case t_is_none(t_inf(LiteralOrOpaque, Type)) of
	  true ->
	    bind_opaque_pats(Literal, Type, Pat, Map, State, Rev);
	  false -> {Map, LiteralOrOpaque}
	end;
      tuple ->
	Es = cerl:tuple_es(Pat),
	{TypedRecord, Prototype} =
	  case Es of
	    [] -> {false, t_tuple([])};
	    [Tag|Left] ->
	      case cerl:is_c_atom(Tag) of
		true ->
		  TagAtom = cerl:atom_val(Tag),
		  case state__lookup_record(TagAtom, length(Left), State) of
		    error -> {false, t_tuple(length(Es))};
		    {ok, Record} ->
		      [_Head|AnyTail] = [t_any() || _ <- Es],
		      UntypedRecord = t_tuple([t_atom(TagAtom)|AnyTail]),
		      {not erl_types:t_is_equal(Record, UntypedRecord), Record}
		  end;
		false -> {false, t_tuple(length(Es))}
	      end
	  end,
	Tuple = t_inf(Prototype, Type),
	case t_is_none(Tuple) of
	  true ->
	    bind_opaque_pats(Prototype, Type, Pat, Map, State, Rev);
	  false ->
	    SubTuples = t_tuple_subtypes(Tuple),
	    %% Need to call the top function to get the try-catch wrapper
            MapJ = join_maps_begin(Map),
	    Results =
	      case Rev of
		true ->
		  [bind_pat_vars_reverse(Es, t_tuple_args(SubTuple), [],
					 MapJ, State)
		   || SubTuple <- SubTuples];
		false ->
		  [bind_pat_vars(Es, t_tuple_args(SubTuple), [], MapJ, State)
		   || SubTuple <- SubTuples]
	      end,
	    case lists:keyfind(opaque, 2, Results) of
	      {error, opaque, _PatList, _Type, Opaque} ->
		bind_error([Pat], Tuple, Opaque, opaque);
	      false ->
		case [M || {M, _} <- Results, M =/= error] of
		  [] ->
		    case TypedRecord of
		      true -> bind_error([Pat], Tuple, Prototype, record);
		      false -> bind_error([Pat], Tuple, t_none(), bind)
		    end;
		  Maps ->
		    Map1 = join_maps_end(Maps, MapJ),
		    TupleType = t_sup([t_tuple(EsTypes)
				       || {M, EsTypes} <- Results, M =/= error]),
		    {Map1, TupleType}
		end
	    end
	end;
      values ->
	Es = cerl:values_es(Pat),
	{Map1, EsTypes} =
	  bind_pat_vars(Es, t_to_tlist(Type), [], Map, State, Rev),
	{Map1, t_product(EsTypes)};
      var ->
	Opaques = State#state.opaques,
	VarType1 =
	  case state__lookup_type_for_letrec(Pat, State) of
	    error ->
	      LType = lookup_type(Pat, Map),
	      case t_opaque_match_record(LType, Opaques) of
		[Opaque] -> Opaque;
		_ ->
		  case t_opaque_match_atom(LType, Opaques) of
		    [Opaque] -> Opaque;
		    _ ->  LType
		  end
	      end;
	    {ok, RecType} -> RecType
	  end,
	%% Must do inf when binding args to pats. Vars in pats are fresh.
	VarType2 = t_inf(VarType1, Type),
	VarType3 =
	  case Opaques =/= [] of
	    true ->
	      case t_opaque_match_record(VarType2, Opaques) of
		[OpaqueRec] -> OpaqueRec;
		_ ->
		  case t_opaque_match_atom(VarType2, Opaques) of
		    [OpaqueAtom] -> OpaqueAtom;
		    _ -> VarType2
		  end
	      end;
	    false -> VarType2
	  end,
	case t_is_none(VarType3) of
	  true ->
	    case t_find_opaque_mismatch(VarType1, Type) of
	      {ok, T1, T2}  ->
		bind_error([Pat], T1, T2, opaque);
	      error ->
		bind_error([Pat], Type, t_none(), bind)
	    end;
	  false ->
	    Map1 = enter_type(Pat, VarType3, Map),
	    {Map1, VarType3}
	end;
      _Other ->
	%% Catch all is needed when binding args to pats
	?debug("Failed match for ~p\n", [_Other]),
	bind_error([Pat], Type, t_none(), bind)
    end,
  bind_pat_vars(PatLeft, TypeLeft, [TypeOut|Acc], NewMap, State, Rev);
bind_pat_vars([], [], Acc, Map, _State, _Rev) ->
  {Map, lists:reverse(Acc)}.

bind_bin_segs(BinSegs, BinType, Map, State) ->
  bind_bin_segs(BinSegs, BinType, [], Map, State).

bind_bin_segs([Seg|Segs], BinType, Acc, Map, State) ->
  Val = cerl:bitstr_val(Seg),
  SegType = cerl:concrete(cerl:bitstr_type(Seg)),
  UnitVal = cerl:concrete(cerl:bitstr_unit(Seg)),
  case cerl:bitstr_bitsize(Seg) of
    all ->
      binary = SegType, [] = Segs, %% just an assert
      T = t_inf(t_bitstr(UnitVal, 0), BinType),
      {Map1, [Type]} = bind_pat_vars([Val], [T], [], Map, State, false),
      bind_bin_segs(Segs, t_bitstr(0, 0), [Type|Acc], Map1, State);
    utf -> % XXX: possibly can be strengthened
      true = lists:member(SegType, [utf8, utf16, utf32]),
      {Map1, [_]} = bind_pat_vars([Val], [t_integer()], [], Map, State, false),
      Type = t_binary(),
      bind_bin_segs(Segs, BinType, [Type|Acc], Map1, State);
    BitSz when is_integer(BitSz) orelse BitSz =:= any ->
      Size = cerl:bitstr_size(Seg),
      {Map1, [SizeType]} =
	bind_pat_vars([Size], [t_non_neg_integer()], [], Map, State, false),
      Type =
	case t_number_vals(SizeType) of
	  [OneSize] -> t_bitstr(0, UnitVal * OneSize);
	  _ ->
	    MinSize = erl_types:number_min(SizeType),
	    t_bitstr(UnitVal, UnitVal * MinSize)
	end,
      ValConstr =
	case SegType of
	  binary -> Type; %% The same constraints as for the whole bitstr
	  float -> t_float();
	  integer ->
	    case t_number_vals(SizeType) of
	      unknown -> t_integer();
	      List ->
		SizeVal = lists:max(List),
		Flags = cerl:concrete(cerl:bitstr_flags(Seg)),
		N = SizeVal * UnitVal,
		case lists:member(signed, Flags) of
		  true -> t_from_range(-(1 bsl (N - 1)), 1 bsl (N - 1) - 1);
		  false -> t_from_range(0, 1 bsl N - 1)
		end
	    end
	end,
      {Map2, [_]} = bind_pat_vars([Val], [ValConstr], [], Map1, State, false),
      NewBinType = t_bitstr_match(Type, BinType),
      case t_is_none(NewBinType) of
	true -> bind_error([Seg], BinType, t_none(), bind);
	false -> bind_bin_segs(Segs, NewBinType, [Type|Acc], Map2, State)
      end
  end;
bind_bin_segs([], _BinType, Acc, Map, _State) ->
  {Map, lists:reverse(Acc)}.

bind_error(Pats, Type, OpaqueType, Error) ->
  throw({error, Error, Pats, Type, OpaqueType}).

bind_opaque_pats(GenType, Type, Pat, Map, State, Rev) ->
  case t_find_opaque_mismatch(GenType, Type) of
    {ok, T1, T2}  ->
      case lists:member(T2, State#state.opaques) of
	true ->
	  NewType = erl_types:t_struct_from_opaque(Type, [T2]),
	  {Map1, _} =
	    bind_pat_vars([Pat], [NewType], [], Map, State, Rev),
	  {Map1, T2};
	false -> bind_error([Pat], T1, T2, opaque)
      end;
    error -> bind_error([Pat], Type, t_none(), bind)
  end.

%%----------------------------------------
%% Guards
%%

bind_guard(Guard, Map, State) ->
  try bind_guard(Guard, Map, dict:new(), pos, State) of
    {Map1, _Type} -> Map1
  catch
    throw:{fail, Warning} -> {error, Warning};
    throw:{fatal_fail, Warning} -> {error, Warning}
  end.

bind_guard(Guard, Map, Env, Eval, State) ->
  ?debug("Handling ~w guard: ~s\n",
	 [Eval, cerl_prettypr:format(Guard, [{noann, true}])]),
  case cerl:type(Guard) of
    binary ->
      {Map, t_binary()};
    'case' ->
      Arg = cerl:case_arg(Guard),
      Clauses = cerl:case_clauses(Guard),
      bind_guard_case_clauses(Arg, Clauses, Map, Env, Eval, State);
    cons ->
      Hd = cerl:cons_hd(Guard),
      Tl = cerl:cons_tl(Guard),
      {Map1, HdType} = bind_guard(Hd, Map, Env, dont_know, State),
      {Map2, TlType} = bind_guard(Tl, Map1, Env, dont_know, State),
      {Map2, t_cons(HdType, TlType)};
    literal ->
      {Map, literal_type(Guard)};
    'try' ->
      Arg = cerl:try_arg(Guard),
      [Var] = cerl:try_vars(Guard),
      %%?debug("Storing: ~w\n", [Var]),
      NewEnv = dict:store(get_label(Var), Arg, Env),
      bind_guard(cerl:try_body(Guard), Map, NewEnv, Eval, State);
    tuple ->
      Es0 = cerl:tuple_es(Guard),
      {Map1, Es} = bind_guard_list(Es0, Map, Env, dont_know, State),
      {Map1, t_tuple(Es)};
    'let' ->
      Arg = cerl:let_arg(Guard),
      [Var] = cerl:let_vars(Guard),
      %%?debug("Storing: ~w\n", [Var]),
      NewEnv = dict:store(get_label(Var), Arg, Env),
      bind_guard(cerl:let_body(Guard), Map, NewEnv, Eval, State);
    values ->
      Es = cerl:values_es(Guard),
      List = [bind_guard(V, Map, Env, dont_know, State) || V <- Es],
      Type = t_product([T || {_, T} <- List]),
      {Map, Type};
    var ->
      ?debug("Looking for var(~w)...", [cerl_trees:get_label(Guard)]),
      case dict:find(get_label(Guard), Env) of
	error ->
	  ?debug("Did not find it\n", []),
	  Type = lookup_type(Guard, Map),
	  Constr =
	    case Eval of
	      pos -> t_atom(true);
	      neg -> t_atom(false);
	      dont_know -> Type
	    end,
	  Inf = t_inf(Constr, Type),
	  {enter_type(Guard, Inf, Map), Inf};
	{ok, Tree} ->
	  ?debug("Found it\n", []),
	  {Map1, Type} = bind_guard(Tree, Map, Env, Eval, State),
	  {enter_type(Guard, Type, Map1), Type}
      end;
    call ->
      handle_guard_call(Guard, Map, Env, Eval, State)
  end.

handle_guard_call(Guard, Map, Env, Eval, State) ->
  MFA = {cerl:atom_val(cerl:call_module(Guard)),
	 cerl:atom_val(cerl:call_name(Guard)),
	 cerl:call_arity(Guard)},
  case MFA of
    {erlang, F, 1} when F =:= is_atom; F =:= is_boolean;
			F =:= is_binary; F =:= is_bitstring;
			F =:= is_float; F =:= is_function;
			F =:= is_integer; F =:= is_list;
			F =:= is_number; F =:= is_pid; F =:= is_port;
			F =:= is_reference; F =:= is_tuple ->
      handle_guard_type_test(Guard, F, Map, Env, Eval, State);
    {erlang, is_function, 2} ->
      handle_guard_is_function(Guard, Map, Env, Eval, State);
    MFA when (MFA =:= {erlang, internal_is_record, 3}) or
	     (MFA =:= {erlang, is_record, 3}) ->
      handle_guard_is_record(Guard, Map, Env, Eval, State);
    {erlang, '=:=', 2} ->
      handle_guard_eqeq(Guard, Map, Env, Eval, State);
    {erlang, '==', 2} ->
      handle_guard_eq(Guard, Map, Env, Eval, State);
    {erlang, 'and', 2} ->
      handle_guard_and(Guard, Map, Env, Eval, State);
    {erlang, 'or', 2} ->
      handle_guard_or(Guard, Map, Env, Eval, State);
    {erlang, 'not', 1} ->
      handle_guard_not(Guard, Map, Env, Eval, State);
    {erlang, Comp, 2} when Comp =:= '<'; Comp =:= '=<';
                           Comp =:= '>'; Comp =:= '>=' ->
      handle_guard_comp(Guard, Comp, Map, Env, Eval, State);
    _ ->
      handle_guard_gen_fun(MFA, Guard, Map, Env, Eval, State)
  end.

handle_guard_gen_fun({M, F, A}, Guard, Map, Env, Eval, State) ->
  Args = cerl:call_args(Guard),
  {Map1, As0} = bind_guard_list(Args, Map, Env, dont_know, State),
  MapFun = fun(Type) ->
	       case lists:member(Type, State#state.opaques) of
		 true -> erl_types:t_opaque_structure(Type);
		 false -> Type
	       end
	   end,
  As = lists:map(MapFun, As0),
  Mode = case As =:= As0 of
	   true -> structured;
	   false -> opaque
	 end,
  BifRet = erl_bif_types:type(M, F, A, As),
  case t_is_none(BifRet) of
    true ->
      %% Is this an error-bif?
      case t_is_none(erl_bif_types:type(M, F, A)) of
	true -> signal_guard_fail(Eval, Guard, As, State);
	false -> signal_guard_fatal_fail(Eval, Guard, As, State)
      end;
    false ->
      BifArgs = case erl_bif_types:arg_types(M, F, A) of
		  unknown -> lists:duplicate(A, t_any());
		  List -> List
		end,
      Map2 = enter_type_lists(Args, t_inf_lists(BifArgs, As0, Mode), Map1),
      Ret =
	case Eval of
	  pos -> t_inf(t_atom(true), BifRet);
	  neg -> t_inf(t_atom(false), BifRet);
	  dont_know -> BifRet
	end,
      case t_is_none(Ret) of
	true ->
	  case Eval =:= pos of
	    true -> signal_guard_fail(Eval, Guard, As, State);
	    false -> throw({fail, none})
	  end;
	false -> {Map2, Ret}
      end
  end.

handle_guard_type_test(Guard, F, Map, Env, Eval, State) ->
  [Arg] = cerl:call_args(Guard),
  {Map1, ArgType} = bind_guard(Arg, Map, Env, dont_know, State),
  case bind_type_test(Eval, F, ArgType, State) of
    error ->
      ?debug("Type test: ~w failed\n", [F]),
      signal_guard_fail(Eval, Guard, [ArgType], State);
    {ok, NewArgType, Ret} ->
      ?debug("Type test: ~w succeeded, NewType: ~s, Ret: ~s\n",
	     [F, t_to_string(NewArgType), t_to_string(Ret)]),
      {enter_type(Arg, NewArgType, Map1), Ret}
  end.

bind_type_test(Eval, TypeTest, ArgType, State) ->
  Type = case TypeTest of
	   is_atom -> t_atom();
	   is_boolean -> t_boolean();
	   is_binary -> t_binary();
	   is_bitstring -> t_bitstr();
	   is_float -> t_float();
	   is_function -> t_fun();
	   is_integer -> t_integer();
	   is_list -> t_maybe_improper_list();
	   is_number -> t_number();
	   is_pid -> t_pid();
	   is_port -> t_port();
	   is_reference -> t_reference();
	   is_tuple -> t_tuple()
	 end,
  Mode = determine_mode(ArgType, State#state.opaques),
  case Eval of
    pos ->
      Inf = t_inf(Type, ArgType, Mode),
      case t_is_none(Inf) of
	true -> error;
	false -> {ok, Inf, t_atom(true)}
      end;
    neg ->
      case Mode of
	opaque ->
	  Struct = erl_types:t_opaque_structure(ArgType),
	  case t_is_none(t_subtract(Struct, Type)) of
	    true -> error;
	    false  -> {ok, ArgType, t_atom(false)}
	  end;
	structured ->
	  Sub = t_subtract(ArgType, Type),
	  case t_is_none(Sub) of
	    true -> error;
	    false -> {ok, Sub, t_atom(false)}
	  end
	end;
    dont_know ->
      {ok, ArgType, t_boolean()}
  end.

handle_guard_comp(Guard, Comp, Map, Env, Eval, State) ->
  Args = cerl:call_args(Guard),
  [Arg1, Arg2] = Args,
  {Map1, ArgTypes} = bind_guard_list(Args, Map, Env, dont_know, State),
  [Type1, Type2] = ArgTypes,
  IsInt1 = t_is_integer(Type1),
  IsInt2 = t_is_integer(Type2),
  case {cerl:type(Arg1), cerl:type(Arg2)} of
    {literal, literal} ->
      case erlang:Comp(cerl:concrete(Arg1), cerl:concrete(Arg2)) of
	true  when Eval =:= pos ->       {Map, t_atom(true)};
	true  when Eval =:= dont_know -> {Map, t_atom(true)};
	true  when Eval =:= neg ->       {Map, t_atom(true)};
	false when Eval =:= pos ->
	  signal_guard_fail(Eval, Guard, ArgTypes, State);
	false when Eval =:= dont_know -> {Map, t_atom(false)};
	false when Eval =:= neg ->       {Map, t_atom(false)}
      end;
    {literal, var} when IsInt1 andalso IsInt2 andalso (Eval =:= pos) ->
      case bind_comp_literal_var(Arg1, Arg2, Type2, Comp, Map1) of
	error -> signal_guard_fail(Eval, Guard, ArgTypes, State);
	{ok, NewMap} -> {NewMap, t_atom(true)}
      end;
    {var, literal} when IsInt1 andalso IsInt2 andalso (Eval =:= pos) ->
      case bind_comp_literal_var(Arg2, Arg1, Type1, invert_comp(Comp), Map1) of
	error -> signal_guard_fail(Eval, Guard, ArgTypes, State);
	{ok, NewMap} -> {NewMap, t_atom(true)}
      end;
    {_, _} ->
      handle_guard_gen_fun({erlang, Comp, 2}, Guard, Map, Env, Eval, State)
  end.

invert_comp('=<') -> '>=';
invert_comp('<')  -> '>';
invert_comp('>=') -> '=<';
invert_comp('>')  -> '<'.

bind_comp_literal_var(Lit, Var, VarType, CompOp, Map) ->
  LitVal = cerl:concrete(Lit),
  NewVarType =
    case t_number_vals(VarType) of
      unknown ->
	Range =
	  case CompOp of
	    '=<' -> t_from_range(LitVal, pos_inf);
	    '<'  -> t_from_range(LitVal + 1, pos_inf);
	    '>=' -> t_from_range(neg_inf, LitVal);
	    '>'  -> t_from_range(neg_inf, LitVal - 1)
	  end,
	t_inf(Range, VarType);
      NumberVals ->
	NewNumberVals = [X || X <- NumberVals, erlang:CompOp(LitVal, X)],
	t_integers(NewNumberVals)
    end,
  case t_is_none(NewVarType) of
    true -> error;
    false -> {ok, enter_type(Var, NewVarType, Map)}
  end.

handle_guard_is_function(Guard, Map, Env, Eval, State) ->
  Args = cerl:call_args(Guard),
  {Map1, ArgTypes0} = bind_guard_list(Args, Map, Env, dont_know, State),
  [FunType0, ArityType0] = ArgTypes0,
  ArityType = t_inf(ArityType0, t_integer()),
  case t_is_none(ArityType) of
    true -> signal_guard_fail(Eval, Guard, ArgTypes0, State);
    false ->
      FunTypeConstr =
	case t_number_vals(ArityType) of
	  unknown -> t_fun();
	  Vals ->
	    t_sup([t_fun(lists:duplicate(X, t_any()), t_any()) || X <- Vals])
	end,
      FunType = t_inf(FunType0, FunTypeConstr),
      case t_is_none(FunType) of
	true ->
	  case Eval of
	    pos -> signal_guard_fail(Eval, Guard, ArgTypes0, State);
	    neg -> {Map1, t_atom(false)};
	    dont_know -> {Map1, t_atom(false)}
	  end;
	false ->
	  case Eval of
	    pos -> {enter_type_lists(Args, [FunType, ArityType], Map1),
		    t_atom(true)};
	    neg -> {Map1, t_atom(false)};
	    dont_know -> {Map1, t_boolean()}
	  end
      end
  end.

handle_guard_is_record(Guard, Map, Env, Eval, State) ->
  Args = cerl:call_args(Guard),
  [Rec, Tag0, Arity0] = Args,
  Tag = cerl:atom_val(Tag0),
  Arity = cerl:int_val(Arity0),
  {Map1, RecType} = bind_guard(Rec, Map, Env, dont_know, State),
  ArityMin1 = Arity - 1,
  TupleType =
    case state__lookup_record(Tag, ArityMin1, State) of
      error -> t_tuple([t_atom(Tag)|lists:duplicate(ArityMin1, t_any())]);
      {ok, Prototype} -> Prototype
    end,
  Mode = determine_mode(RecType, State#state.opaques),
  NewTupleType =
    case t_opaque_match_record(TupleType, State#state.opaques) of
      [Opaque] -> Opaque;
      _ -> TupleType
    end,
  Type = t_inf(NewTupleType, RecType, Mode),
  case t_is_none(Type) of
    true ->
      case Eval of
	pos -> signal_guard_fail(Eval, Guard,
				 [RecType, t_from_term(Tag),
				  t_from_term(Arity)],
				 State);
	neg -> {Map1, t_atom(false)};
	dont_know -> {Map1, t_atom(false)}
      end;
    false ->
      case Eval of
	pos -> {enter_type(Rec, Type, Map1), t_atom(true)};
	neg -> {Map1, t_atom(false)};
	dont_know -> {Map1, t_boolean()}
      end
  end.

handle_guard_eq(Guard, Map, Env, Eval, State) ->
  [Arg1, Arg2] = cerl:call_args(Guard),
  case {cerl:type(Arg1), cerl:type(Arg2)} of
    {literal, literal} ->
      case cerl:concrete(Arg1) =:= cerl:concrete(Arg2) of
	true ->
	  if
	    Eval =:= pos -> {Map, t_atom(true)};
	    Eval =:= neg ->
	      ArgTypes = [t_from_term(cerl:concrete(Arg1)),
			  t_from_term(cerl:concrete(Arg2))],
	      signal_guard_fail(Eval, Guard, ArgTypes, State);
	    Eval =:= dont_know -> {Map, t_atom(true)}
	  end;
	false ->
	  if
	    Eval =:= neg -> {Map, t_atom(false)};
	    Eval =:= dont_know -> {Map, t_atom(false)};
	    Eval =:= pos ->
	      ArgTypes = [t_from_term(cerl:concrete(Arg1)),
			  t_from_term(cerl:concrete(Arg2))],
	      signal_guard_fail(Eval, Guard, ArgTypes, State)
	  end
      end;
    {literal, _} when Eval =:= pos ->
      case cerl:concrete(Arg1) of
	Atom when is_atom(Atom) ->
	  bind_eqeq_guard_lit_other(Guard, Arg1, Arg2, Map, Env, State);
	[] ->
	  bind_eqeq_guard_lit_other(Guard, Arg1, Arg2, Map, Env, State);
	_ ->
	  bind_eq_guard(Guard, Arg1, Arg2, Map, Env, Eval, State)
      end;
    {_, literal} when Eval =:= pos ->
      case cerl:concrete(Arg2) of
	Atom when is_atom(Atom) ->
	  bind_eqeq_guard_lit_other(Guard, Arg2, Arg1, Map, Env, State);
	[] ->
	  bind_eqeq_guard_lit_other(Guard, Arg2, Arg1, Map, Env, State);
	_ ->
	  bind_eq_guard(Guard, Arg1, Arg2, Map, Env, Eval, State)
      end;
    {_, _} ->
      bind_eq_guard(Guard, Arg1, Arg2, Map, Env, Eval, State)
  end.

bind_eq_guard(Guard, Arg1, Arg2, Map, Env, Eval, State) ->
  {Map1, Type1} = bind_guard(Arg1, Map, Env, dont_know, State),
  {Map2, Type2} = bind_guard(Arg2, Map1, Env, dont_know, State),
  case (t_is_nil(Type1) orelse t_is_nil(Type2) orelse
	t_is_atom(Type1) orelse t_is_atom(Type2)) of
    true -> bind_eqeq_guard(Guard, Arg1, Arg2, Map, Env, Eval, State);
    false ->
      case Eval of
	pos -> {Map2, t_atom(true)};
	neg -> {Map2, t_atom(false)};
	dont_know -> {Map2, t_boolean()}
      end
  end.

handle_guard_eqeq(Guard, Map, Env, Eval, State) ->
  [Arg1, Arg2] = cerl:call_args(Guard),
  case {cerl:type(Arg1), cerl:type(Arg2)} of
    {literal, literal} ->
      case cerl:concrete(Arg1) =:= cerl:concrete(Arg2) of
	true ->
	  if Eval =:= neg ->
	      ArgTypes = [t_from_term(cerl:concrete(Arg1)),
			  t_from_term(cerl:concrete(Arg2))],
	      signal_guard_fail(Eval, Guard, ArgTypes, State);
	     Eval =:= pos -> {Map, t_atom(true)};
	     Eval =:= dont_know -> {Map, t_atom(true)}
	  end;
	false ->
	  if Eval =:= neg -> {Map, t_atom(false)};
	     Eval =:= dont_know -> {Map, t_atom(false)};
	     Eval =:= pos ->
	      ArgTypes = [t_from_term(cerl:concrete(Arg1)),
			  t_from_term(cerl:concrete(Arg2))],
	      signal_guard_fail(Eval, Guard, ArgTypes, State)
	  end
      end;
    {literal, _} when Eval =:= pos ->
      bind_eqeq_guard_lit_other(Guard, Arg1, Arg2, Map, Env, State);
    {_, literal} when Eval =:= pos ->
      bind_eqeq_guard_lit_other(Guard, Arg2, Arg1, Map, Env, State);
    {_, _} ->
      bind_eqeq_guard(Guard, Arg1, Arg2, Map, Env, Eval, State)
  end.

bind_eqeq_guard(Guard, Arg1, Arg2, Map, Env, Eval, State) ->
  {Map1, Type1} = bind_guard(Arg1, Map, Env, dont_know, State),
  {Map2, Type2} = bind_guard(Arg2, Map1, Env, dont_know, State),
  ?debug("Types are:~s =:= ~s\n", [t_to_string(Type1),
				   t_to_string(Type2)]),
  Inf = t_inf(Type1, Type2),
  case t_is_none(Inf) of
    true ->
      case Eval of
	neg -> {Map2, t_atom(false)};
	dont_know -> {Map2, t_atom(false)};
	pos -> signal_guard_fail(Eval, Guard, [Type1, Type2], State)
      end;
    false ->
      case Eval of
	pos ->
	  case {cerl:type(Arg1), cerl:type(Arg2)} of
	    {var, var} ->
	      Map3 = enter_subst(Arg1, Arg2, Map2),
	      Map4 = enter_type(Arg2, Inf, Map3),
	      {Map4, t_atom(true)};
	    {var, _} ->
	      Map3 = enter_type(Arg1, Inf, Map2),
	      {Map3, t_atom(true)};
	    {_, var} ->
	      Map3 = enter_type(Arg2, Inf, Map2),
	      {Map3, t_atom(true)};
	    {_, _} ->
	      {Map2, t_atom(true)}
	  end;
	neg ->
	  {Map2, t_atom(false)};
	dont_know ->
	  {Map2, t_boolean()}
      end
  end.

bind_eqeq_guard_lit_other(Guard, Arg1, Arg2, Map, Env, State) ->
  Eval = dont_know,
  case cerl:concrete(Arg1) of
    true ->
      {_, Type} = MT = bind_guard(Arg2, Map, Env, pos, State),
      case t_is_atom(true, Type) of
	true -> MT;
	false ->
	  {_, Type0} = bind_guard(Arg2, Map, Env, Eval, State),
	  signal_guard_fail(Eval, Guard, [Type0, t_atom(true)], State)
      end;
    false ->
      {Map1, Type} = bind_guard(Arg2, Map, Env, neg, State),
      case t_is_atom(false, Type) of
	true -> {Map1, t_atom(true)};
	false ->
	  {_, Type0} = bind_guard(Arg2, Map, Env, Eval, State),
	  signal_guard_fail(Eval, Guard, [Type0, t_atom(false)], State)
      end;
    Term ->
      LitType = t_from_term(Term),
      {Map1, Type} = bind_guard(Arg2, Map, Env, Eval, State),
      case t_is_subtype(LitType, Type) of
	false -> signal_guard_fail(Eval, Guard, [Type, LitType], State);
	true ->
	  case cerl:is_c_var(Arg2) of
	    true -> {enter_type(Arg2, LitType, Map1), t_atom(true)};
	    false -> {Map1, t_atom(true)}
	  end
      end
  end.

handle_guard_and(Guard, Map, Env, Eval, State) ->
  [Arg1, Arg2] = cerl:call_args(Guard),
  case Eval of
    pos ->
      {Map1, Type1} = bind_guard(Arg1, Map, Env, Eval, State),
      case t_is_atom(true, Type1) of
	false -> signal_guard_fail(Eval, Guard, [Type1, t_any()], State);
	true ->
	  {Map2, Type2} = bind_guard(Arg2, Map1, Env, Eval, State),
	  case t_is_atom(true, Type2) of
	    false -> signal_guard_fail(Eval, Guard, [Type1, Type2], State);
	    true -> {Map2, t_atom(true)}
	  end
      end;
    neg ->
      MapJ = join_maps_begin(Map),
      {Map1, Type1} =
	try bind_guard(Arg1, MapJ, Env, neg, State)
	catch throw:{fail, _} -> bind_guard(Arg2, MapJ, Env, pos, State)
	end,
      {Map2, Type2} =
	try bind_guard(Arg2, MapJ, Env, neg, State)
	catch throw:{fail, _} -> bind_guard(Arg1, MapJ, Env, pos, State)
	end,
      case t_is_atom(false, Type1) orelse t_is_atom(false, Type2) of
	true -> {join_maps_end([Map1, Map2], MapJ), t_atom(false)};
	false -> signal_guard_fail(Eval, Guard, [Type1, Type2], State)
      end;
    dont_know ->
      MapJ = join_maps_begin(Map),
      {Map1, Type1} = bind_guard(Arg1, MapJ, Env, dont_know, State),
      {Map2, Type2} = bind_guard(Arg2, MapJ, Env, dont_know, State),
      Bool1 = t_inf(Type1, t_boolean()),
      Bool2 = t_inf(Type2, t_boolean()),
      case t_is_none(Bool1) orelse t_is_none(Bool2) of
	true -> throw({fatal_fail, none});
	false ->
	  NewMap = join_maps_end([Map1, Map2], MapJ),
	  NewType =
	    case {t_atom_vals(Bool1), t_atom_vals(Bool2)} of
	      {['true'] , ['true'] } -> t_atom(true);
	      {['false'], _        } -> t_atom(false);
	      {_        , ['false']} -> t_atom(false);
	      {_        , _        } -> t_boolean()
	    end,
	  {NewMap, NewType}
      end
  end.

handle_guard_or(Guard, Map, Env, Eval, State) ->
  [Arg1, Arg2] = cerl:call_args(Guard),
  case Eval of
    pos ->
      MapJ = join_maps_begin(Map),
      {Map1, Bool1} =
	try bind_guard(Arg1, MapJ, Env, pos, State)
	catch
	  throw:{fail,_} -> bind_guard(Arg1, MapJ, Env, dont_know, State)
	end,
      {Map2, Bool2} =
	try bind_guard(Arg2, MapJ, Env, pos, State)
	catch
	  throw:{fail,_} -> bind_guard(Arg2, MapJ, Env, dont_know, State)
	end,
      case ((t_is_atom(true, Bool1) andalso t_is_boolean(Bool2))
	    orelse
	    (t_is_atom(true, Bool2) andalso t_is_boolean(Bool1))) of
	true -> {join_maps_end([Map1, Map2], MapJ), t_atom(true)};
	false -> signal_guard_fail(Eval, Guard, [Bool1, Bool2], State)
      end;
    neg ->
      {Map1, Type1} = bind_guard(Arg1, Map, Env, neg, State),
      case t_is_atom(false, Type1) of
	false -> signal_guard_fail(Eval, Guard, [Type1, t_any()], State);
	true ->
	  {Map2, Type2} = bind_guard(Arg2, Map1, Env, neg, State),
	  case t_is_atom(false, Type2) of
	    false -> signal_guard_fail(Eval, Guard, [Type1, Type2], State);
	    true -> {Map2, t_atom(false)}
	  end
      end;
    dont_know ->
      MapJ = join_maps_begin(Map),
      {Map1, Type1} = bind_guard(Arg1, MapJ, Env, dont_know, State),
      {Map2, Type2} = bind_guard(Arg2, MapJ, Env, dont_know, State),
      Bool1 = t_inf(Type1, t_boolean()),
      Bool2 = t_inf(Type2, t_boolean()),
      case t_is_none(Bool1) orelse t_is_none(Bool2) of
	true -> throw({fatal_fail, none});
	false ->
	  NewMap = join_maps_end([Map1, Map2], MapJ),
	  NewType =
	    case {t_atom_vals(Bool1), t_atom_vals(Bool2)} of
	      {['false'], ['false']} -> t_atom(false);
	      {['true'] , _        } -> t_atom(true);
	      {_        , ['true'] } -> t_atom(true);
	      {_        , _        } -> t_boolean()
	    end,
	  {NewMap, NewType}
      end
  end.

handle_guard_not(Guard, Map, Env, Eval, State) ->
  [Arg] = cerl:call_args(Guard),
  case Eval of
    neg ->
      {Map1, Type} = bind_guard(Arg, Map, Env, pos, State),
      case t_is_atom(true, Type) of
	true -> {Map1, t_atom(false)};
	false ->
	  {_, Type0} = bind_guard(Arg, Map, Env, Eval, State),
	  signal_guard_fail(Eval, Guard, [Type0], State)
      end;
    pos ->
      {Map1, Type} = bind_guard(Arg, Map, Env, neg, State),
      case t_is_atom(false, Type) of
	true -> {Map1, t_atom(true)};
	false ->
	  {_, Type0} = bind_guard(Arg, Map, Env, Eval, State),
	  signal_guard_fail(Eval, Guard, [Type0], State)
      end;
    dont_know ->
      {Map1, Type} = bind_guard(Arg, Map, Env, dont_know, State),
      Bool = t_inf(Type, t_boolean()),
      case t_is_none(Bool) of
	true -> throw({fatal_fail, none});
	false ->
	  case t_atom_vals(Bool) of
	    ['true'] -> {Map1, t_atom(false)};
	    ['false'] -> {Map1, t_atom(true)};
	    [_, _] -> {Map1, Bool}
	  end
      end
  end.

bind_guard_list(Guards, Map, Env, Eval, State) ->
  bind_guard_list(Guards, Map, Env, Eval, State, []).

bind_guard_list([G|Gs], Map, Env, Eval, State, Acc) ->
  {Map1, T} = bind_guard(G, Map, Env, Eval, State),
  bind_guard_list(Gs, Map1, Env, Eval, State, [T|Acc]);
bind_guard_list([], Map, _Env, _Eval, _State, Acc) ->
  {Map, lists:reverse(Acc)}.

-type eval() :: 'pos' | 'neg' | 'dont_know'.

-spec signal_guard_fail(eval(), cerl:c_call(), [erl_types:erl_type()],
			state()) -> no_return().

signal_guard_fail(Eval, Guard, ArgTypes, State) ->
  Args = cerl:call_args(Guard),
  F = cerl:atom_val(cerl:call_name(Guard)),
  MFA = {cerl:atom_val(cerl:call_module(Guard)), F, length(Args)},
  Msg =
    case is_infix_op(MFA) of
      true ->
	[ArgType1, ArgType2] = ArgTypes,
	[Arg1, Arg2] = Args,
	Kind = 
	  case Eval of
	    neg -> neg_guard_fail;
	    pos -> guard_fail;
	    dont_know -> guard_fail
	  end,
	{Kind, [format_args_1([Arg1], [ArgType1], State),
		atom_to_list(F),
		format_args_1([Arg2], [ArgType2], State)]};
      false ->
	mk_guard_msg(Eval, F, Args, ArgTypes, State)
    end,
  throw({fail, {Guard, Msg}}).

is_infix_op({erlang, '=:=', 2}) -> true;
is_infix_op({erlang, '==', 2}) -> true;
is_infix_op({erlang, '=/=', 2}) -> true;
is_infix_op({erlang, '=/', 2}) -> true;
is_infix_op({erlang, '<', 2}) -> true;
is_infix_op({erlang, '=<', 2}) -> true;
is_infix_op({erlang, '>', 2}) -> true;
is_infix_op({erlang, '>=', 2}) -> true;
is_infix_op({M, F, A}) when is_atom(M), is_atom(F),
			    is_integer(A), 0 =< A, A =< 255 -> false.

-spec signal_guard_fatal_fail(eval(), cerl:c_call(), [erl_types:erl_type()],
			      state()) -> no_return().

signal_guard_fatal_fail(Eval, Guard, ArgTypes, State) ->
  Args = cerl:call_args(Guard),
  F = cerl:atom_val(cerl:call_name(Guard)),
  Msg = mk_guard_msg(Eval, F, Args, ArgTypes, State),
  throw({fatal_fail, {Guard, Msg}}).

mk_guard_msg(Eval, F, Args, ArgTypes, State) ->
  FArgs = [F, format_args(Args, ArgTypes, State)],
  case any_has_opaque_subtype(ArgTypes) of
    true -> {opaque_guard, FArgs};
    false ->
      case Eval of
	neg -> {neg_guard_fail, FArgs};
	pos -> {guard_fail, FArgs};
	dont_know -> {guard_fail, FArgs}
      end
  end.

bind_guard_case_clauses(Arg, Clauses, Map0, Env, Eval, State) ->
  Clauses1 = filter_fail_clauses(Clauses),
  Map = join_maps_begin(Map0),
  {GenMap, GenArgType} = bind_guard(Arg, Map, Env, dont_know, State),
  bind_guard_case_clauses(GenArgType, GenMap, Arg, Clauses1, Map, Env, Eval,
			  t_none(), [], State).

filter_fail_clauses([Clause|Left]) ->
  case (cerl:clause_pats(Clause) =:= []) of
    true ->
      Body = cerl:clause_body(Clause),
      case cerl:is_literal(Body) andalso (cerl:concrete(Body) =:= fail) of
	true -> filter_fail_clauses(Left);
	false -> [Clause|filter_fail_clauses(Left)]
      end;
    false ->
      [Clause|filter_fail_clauses(Left)]
  end;
filter_fail_clauses([]) ->
  [].

bind_guard_case_clauses(GenArgType, GenMap, ArgExpr, [Clause|Left],
			Map, Env, Eval, AccType, AccMaps, State) ->
  Pats = cerl:clause_pats(Clause),
  {NewMap0, ArgType} =
    case Pats of
      [Pat] ->
	case cerl:is_literal(Pat) of
	  true ->
	    try
	      case cerl:concrete(Pat) of
		true -> bind_guard(ArgExpr, Map, Env, pos, State);
		false -> bind_guard(ArgExpr, Map, Env, neg, State);
		_ -> {GenMap, GenArgType}
	      end
	    catch
	      throw:{fail, _} -> {none, GenArgType}
	    end;
	  false ->
	    {GenMap, GenArgType}
	end;
      _ -> {GenMap, GenArgType}
    end,
  NewMap1 =
    case Pats =:= [] of
      true -> NewMap0;
      false ->
	case t_is_none(ArgType) of
	  true -> none;
	  false ->
	    ArgTypes = case t_is_any(ArgType) of
			 true -> Any = t_any(), [Any || _ <- Pats];
			 false -> t_to_tlist(ArgType)
		       end,
	    case bind_pat_vars(Pats, ArgTypes, [], NewMap0, State) of
	      {error, _, _, _, _} -> none;
	      {PatMap, _PatTypes} -> PatMap
	    end
	end
    end,
  Guard = cerl:clause_guard(Clause),
  GenPatType = dialyzer_typesig:get_safe_underapprox(Pats, Guard),
  NewGenArgType = t_subtract(GenArgType, GenPatType),
  case (NewMap1 =:= none) orelse t_is_none(GenArgType) of
    true ->
      bind_guard_case_clauses(NewGenArgType, GenMap, ArgExpr, Left, Map, Env,
			      Eval, AccType, AccMaps, State);
    false ->
      {NewAccType, NewAccMaps} =
	try
	  {NewMap2, GuardType} = bind_guard(Guard, NewMap1, Env, pos, State),
	  case t_is_none(t_inf(t_atom(true), GuardType)) of
	    true -> throw({fail, none});
	    false -> ok
	  end,
	  {NewMap3, CType} = bind_guard(cerl:clause_body(Clause), NewMap2,
					Env, Eval, State),
	  case Eval of
	    pos ->
	      case t_is_atom(true, CType) of
		true -> ok;
		false -> throw({fail, none})
	      end;
	    neg ->
	      case t_is_atom(false, CType) of
		true -> ok;
		false -> throw({fail, none})
	      end;
	    dont_know ->
	      ok
	  end,
	  {t_sup(AccType, CType), [NewMap3|AccMaps]}
	catch
	  throw:{fail, _What} -> {AccType, AccMaps}
	end,
      bind_guard_case_clauses(NewGenArgType, GenMap, ArgExpr, Left, Map, Env,
			      Eval, NewAccType, NewAccMaps, State)
  end;
bind_guard_case_clauses(_GenArgType, _GenMap, _ArgExpr, [], Map, _Env, _Eval,
			AccType, AccMaps, _State) ->
  case t_is_none(AccType) of
    true -> throw({fail, none});
    false -> {join_maps_end(AccMaps, Map), AccType}
  end.

%%% ===========================================================================
%%%
%%%  Maps and types.
%%%
%%% ===========================================================================

map__new() ->
  #map{}.

%% join_maps_begin pushes 'modified' to the stack; join_maps pops
%% 'modified' from the stack.

join_maps_begin(#map{modified = M, modified_stack = S, ref = Ref} = Map) ->
  Map#map{ref = make_ref(), modified = [], modified_stack = [{M,Ref} | S]}.

join_maps_end(Maps, MapOut) ->
  #map{ref = Ref, modified_stack = [{M1,R1} | S]} = MapOut,
  true = lists:all(fun(M) -> M#map.ref =:= Ref end, Maps), % sanity
  Keys0 = lists:usort(lists:append([M#map.modified || M <- Maps])),
  #map{dict = Dict, subst = Subst} = MapOut,
  Keys = [Key ||
           Key <- Keys0,
           dict:is_key(Key, Dict) orelse dict:is_key(Key, Subst)],
  Out = case Maps of
          [] -> join_maps(Maps, MapOut);
          _ -> join_maps(Keys, Maps, MapOut)
        end,
  debug_join_check(Maps, MapOut, Out),
  Out#map{ref = R1,
          modified = Out#map.modified ++ M1, % duplicates possible
          modified_stack = S}.

join_maps(Maps, MapOut) ->
  #map{dict = Dict, subst = Subst} = MapOut,
  Keys = ordsets:from_list(dict:fetch_keys(Dict) ++ dict:fetch_keys(Subst)),
  join_maps(Keys, Maps, MapOut).

join_maps(Keys, Maps, MapOut) ->
  KTs = join_maps_collect(Keys, Maps, MapOut),
  lists:foldl(fun({K, T}, M) -> enter_type(K, T, M) end, MapOut, KTs).

join_maps_collect([Key|Left], Maps, MapOut) ->
  Type = join_maps_one_key(Maps, Key, t_none()),
  case t_is_equal(lookup_type(Key, MapOut), Type) of
    true ->  join_maps_collect(Left, Maps, MapOut);
    false -> [{Key, Type} | join_maps_collect(Left, Maps, MapOut)]
  end;
join_maps_collect([], _Maps, _MapOut) ->
  [].

join_maps_one_key([Map|Left], Key, AccType) ->
  case t_is_any(AccType) of
    true ->
      %% We can stop here
      AccType;
    false ->
      join_maps_one_key(Left, Key, t_sup(lookup_type(Key, Map), AccType))
  end;
join_maps_one_key([], _Key, AccType) ->
  AccType.

-ifdef(DEBUG).
debug_join_check(Maps, MapOut, Out) ->
  #map{dict = Dict, subst = Subst} = Out,
  #map{dict = Dict2, subst = Subst2} = join_maps(Maps, MapOut),
  F = fun(D) -> lists:keysort(1, dict:to_list(D)) end,
  [throw({bug, join_maps}) ||
    F(Dict) =/= F(Dict2) orelse F(Subst) =/= F(Subst2)].
-else.
debug_join_check(_Maps, _MapOut, _Out) -> ok.
-endif.

enter_type_lists([Key|KeyTail], [Val|ValTail], Map) ->
  Map1 = enter_type(Key, Val, Map),
  enter_type_lists(KeyTail, ValTail, Map1);
enter_type_lists([], [], Map) ->
  Map.

enter_type_list([{Key, Val}|Left], Map) ->
  Map1 = enter_type(Key, Val, Map),
  enter_type_list(Left, Map1);
enter_type_list([], Map) ->
  Map.

enter_type(Key, Val, MS) ->
  case cerl:is_literal(Key) of
    true -> MS;
    false ->
      case cerl:is_c_values(Key) of
	true ->
          Keys = cerl:values_es(Key),
	  case t_is_any(Val) orelse t_is_none(Val) of
	    true ->
	      enter_type_lists(Keys, [Val || _ <- Keys], MS);
	    false ->
	      enter_type_lists(Keys, t_to_tlist(Val), MS)
	  end;
	false ->
          #map{dict = Dict, subst = Subst} = MS,
	  KeyLabel = get_label(Key),
	  case dict:find(KeyLabel, Subst) of
	    {ok, NewKey} ->
	      ?debug("Binding ~p to ~p\n", [KeyLabel, NewKey]),
	      enter_type(NewKey, Val, MS);
	    error ->
	      ?debug("Entering ~p :: ~s\n", [KeyLabel, t_to_string(Val)]),
	      case dict:find(KeyLabel, Dict) of
		{ok, Val} -> MS;
		{ok, _OldVal} -> store_map(KeyLabel, Val, MS);
		error -> store_map(KeyLabel, Val, MS)
	      end
	  end
      end
  end.

store_map(Key, Val, #map{dict = Dict, ref = undefined} = Map) ->
  Map#map{dict = dict:store(Key, Val, Dict)};
store_map(Key, Val, #map{dict = Dict, modified = Mod} = Map) ->
  Map#map{dict = dict:store(Key, Val, Dict), modified = [Key | Mod]}.

enter_subst(Key, Val, #map{subst = Subst} = MS) ->
  KeyLabel = get_label(Key),
  case cerl:is_literal(Val) of
    true ->
      store_map(KeyLabel, literal_type(Val), MS);
    false ->
      case cerl:is_c_var(Val) of
	false -> MS;
	true ->
	  ValLabel = get_label(Val),
	  case dict:find(ValLabel, Subst) of
	    {ok, NewVal} ->
	      enter_subst(Key, NewVal, MS);
	    error ->
	      if KeyLabel =:= ValLabel -> MS;
		 true ->
		  ?debug("Subst: storing ~p = ~p\n", [KeyLabel, ValLabel]),
                  store_subst(KeyLabel, ValLabel, MS)
	      end
	  end
      end
  end.

store_subst(Key, Val, #map{subst = S, ref = undefined} = Map) ->
  Map#map{subst = dict:store(Key, Val, S)};
store_subst(Key, Val, #map{subst = S, modified = Mod} = Map) ->
  Map#map{subst = dict:store(Key, Val, S), modified = [Key | Mod]}.

lookup_type(Key, #map{dict = Dict, subst = Subst}) ->
  lookup(Key, Dict, Subst, t_none()).

lookup(Key, Dict, Subst, AnyNone) ->
  case cerl:is_literal(Key) of
    true -> literal_type(Key);
    false ->
      Label = get_label(Key),
      case dict:find(Label, Subst) of
	{ok, NewKey} -> lookup(NewKey, Dict, Subst, AnyNone);
	error ->
	  case dict:find(Label, Dict) of
	    {ok, Val} -> Val;
	    error -> AnyNone
	  end
      end
  end.

lookup_fun_sig(Fun, Callgraph, Plt) ->
  MFAorLabel =
    case dialyzer_callgraph:lookup_name(Fun, Callgraph) of
      error -> Fun;
      {ok, MFA} -> MFA
    end,
  dialyzer_plt:lookup(Plt, MFAorLabel).

literal_type(Lit) ->
  t_from_term(cerl:concrete(Lit)).

mark_as_fresh([Tree|Left], Map) ->
  SubTrees1 = lists:append(cerl:subtrees(Tree)),
  {SubTrees2, Map1} =
    case cerl:type(Tree) of
      bitstr ->
	%% The Size field is not fresh.
	{SubTrees1 -- [cerl:bitstr_size(Tree)], Map};
      var ->
	{SubTrees1, enter_type(Tree, t_any(), Map)};
      _ ->
	{SubTrees1, Map}
    end,
  mark_as_fresh(SubTrees2 ++ Left, Map1);
mark_as_fresh([], Map) ->
  Map.

-ifdef(DEBUG).
debug_pp_map(#map{dict = Dict}=Map) ->
  Keys = dict:fetch_keys(Dict),
  io:format("Map:\n", []),
  lists:foreach(fun (Key) ->
		    io:format("\t~w :: ~s\n",
			      [Key, t_to_string(lookup_type(Key, Map))])
		end, Keys),
  ok.
-else.
debug_pp_map(_Map) -> ok.
-endif.

%%% ===========================================================================
%%%
%%%  Utilities
%%%
%%% ===========================================================================

get_label(L) when is_integer(L) ->
  L;
get_label(T) ->
  cerl_trees:get_label(T).

t_is_simple(ArgType) ->
  t_is_atom(ArgType) orelse t_is_number(ArgType) orelse t_is_port(ArgType)
    orelse t_is_pid(ArgType) orelse t_is_reference(ArgType)
    orelse t_is_nil(ArgType).

%% t_is_structured(ArgType) ->
%%   case t_is_nil(ArgType) of
%%     true -> false;
%%     false ->
%%       SType = t_inf(t_sup([t_list(), t_tuple(), t_binary()]), ArgType),
%%       t_is_equal(ArgType, SType)
%%   end.

is_call_to_send(Tree) ->
  case cerl:is_c_call(Tree) of
    false -> false;
    true ->
      Mod = cerl:call_module(Tree),
      Name = cerl:call_name(Tree),
      Arity = cerl:call_arity(Tree),
      cerl:is_c_atom(Mod)
	andalso cerl:is_c_atom(Name)
	andalso (cerl:atom_val(Name) =:= '!')
	andalso (cerl:atom_val(Mod) =:= erlang)
	andalso (Arity =:= 2)
  end.

any_opaque(Ts) ->
  lists:any(fun erl_types:t_is_opaque/1, Ts).

any_has_opaque_subtype(Ts) ->
  lists:any(fun erl_types:t_has_opaque_subtype/1, Ts).

filter_match_fail([Clause] = Cls) ->
  Body = cerl:clause_body(Clause),
  case cerl:type(Body) of
    primop ->
      case cerl:atom_val(cerl:primop_name(Body)) of
	match_fail -> [];
	raise -> [];
	_ -> Cls
      end;
    _ -> Cls
  end;
filter_match_fail([H|T]) ->
  [H|filter_match_fail(T)];
filter_match_fail([]) ->
  %% This can actually happen, for example in
  %%      receive after 1 -> ok end
  [].

determine_mode(Type, Opaques) ->
  case lists:member(Type, Opaques) of
    true  -> opaque;
    false -> structured
  end.

%%% ===========================================================================
%%%
%%%  The State.
%%%
%%% ===========================================================================

state__new(Callgraph, Tree, Plt, Module, Records) ->
  Opaques = erl_types:module_builtin_opaques(Module) ++
    erl_types:t_opaque_from_records(Records),
  TreeMap = build_tree_map(Tree),
  Funs = dict:fetch_keys(TreeMap),
  FunTab = init_fun_tab(Funs, dict:new(), TreeMap, Callgraph, Plt, Opaques),
  ExportedFuns =
    [Fun || Fun <- Funs--[top], dialyzer_callgraph:is_escaping(Fun, Callgraph)],
  Work = init_work(ExportedFuns),
  Env = lists:foldl(fun(Fun, Env) -> dict:store(Fun, map__new(), Env) end,
		    dict:new(), Funs),
  #state{callgraph = Callgraph, envs = Env, fun_tab = FunTab, opaques = Opaques,
	 plt = Plt, races = dialyzer_races:new(), records = Records,
	 warning_mode = false, warnings = [], work = Work, tree_map = TreeMap,
	 module = Module}.

state__warning_mode(#state{warning_mode = WM}) ->
  WM.

state__set_warning_mode(#state{tree_map = TreeMap, fun_tab = FunTab,
                               races = Races} = State) ->
  ?debug("==========\nStarting warning pass\n==========\n", []),
  Funs = dict:fetch_keys(TreeMap),
  State#state{work = init_work([top|Funs--[top]]),
	      fun_tab = FunTab, warning_mode = true,
              races = dialyzer_races:put_race_analysis(true, Races)}.

state__race_analysis(Analysis, #state{races = Races} = State) ->
  State#state{races = dialyzer_races:put_race_analysis(Analysis, Races)}.

state__renew_curr_fun(CurrFun, CurrFunLabel,
                      #state{races = Races} = State) ->
  State#state{races = dialyzer_races:put_curr_fun(CurrFun, CurrFunLabel,
                                                  Races)}.

state__renew_fun_args(Args, #state{races = Races} = State) ->
  case state__warning_mode(State) of
    true -> State;
    false ->
      State#state{races = dialyzer_races:put_fun_args(Args, Races)}
  end.

state__renew_race_list(RaceList, RaceListSize,
                       #state{races = Races} = State) ->
  State#state{races = dialyzer_races:put_race_list(RaceList, RaceListSize,
                                                   Races)}.

state__renew_warnings(Warnings, State) ->
  State#state{warnings = Warnings}.

-spec state__add_warning(dial_warning(), state()) -> state().

state__add_warning(Warn, #state{warnings = Warnings} = State) ->
  State#state{warnings = [Warn|Warnings]}.

state__add_warning(State, Tag, Tree, Msg) ->
  state__add_warning(State, Tag, Tree, Msg, false).

state__add_warning(#state{warning_mode = false} = State, _, _, _, _) ->
  State;
state__add_warning(#state{warnings = Warnings, warning_mode = true} = State,
		   Tag, Tree, Msg, Force) ->
  Ann = cerl:get_ann(Tree),
  case Force of
    true ->
      Warn = {Tag, {get_file(Ann), abs(get_line(Ann))}, Msg},
      State#state{warnings = [Warn|Warnings]};
    false ->
      case is_compiler_generated(Ann) of
	true -> State;
	false ->
	  Warn = {Tag, {get_file(Ann), get_line(Ann)}, Msg},
	  State#state{warnings = [Warn|Warnings]}
      end
  end.

state__get_race_warnings(#state{races = Races} = State) ->
  {Races1, State1} = dialyzer_races:get_race_warnings(Races, State),
  State1#state{races = Races1}.

state__get_warnings(#state{tree_map = TreeMap, fun_tab = FunTab,
			   callgraph = Callgraph, plt = Plt} = State,
		    NoWarnUnused) ->
  FoldFun =
    fun({top, _}, AccState) -> AccState;
       ({FunLbl, Fun}, AccState) ->
	{NotCalled, Ret} =
	  case dict:fetch(get_label(Fun), FunTab) of
	    {not_handled, {_Args0, Ret0}} -> {true, Ret0};
	    {_Args0, Ret0} -> {false, Ret0}
	  end,
	case NotCalled of
	  true ->
	    {Warn, Msg} =
	      case dialyzer_callgraph:lookup_name(FunLbl, Callgraph) of
		error -> {false, {}};
		{ok, {_M, F, A} = MFA} ->
		  {not sets:is_element(MFA, NoWarnUnused),
		   {unused_fun, [F, A]}}
	      end,
	    case Warn of
	      true -> state__add_warning(AccState, ?WARN_NOT_CALLED, Fun, Msg);
	      false -> AccState
	    end;
	  false ->
	    {Name, Contract} =
	      case dialyzer_callgraph:lookup_name(FunLbl, Callgraph) of
		error -> {[], none};
		{ok, {_M, F, A} = MFA} ->
		  {[F, A], dialyzer_plt:lookup_contract(Plt, MFA)}
	      end,
	    case t_is_none(Ret) of
	      true ->
		%% Check if the function has a contract that allows this.
		Warn =
		  case Contract of
		    none -> not parent_allows_this(FunLbl, State);
		    {value, C} ->
		      GenRet = dialyzer_contracts:get_contract_return(C),
		      not t_is_unit(GenRet)
		  end,
		case Warn of
		  true ->
		    case classify_returns(Fun) of
		      no_match ->
			Msg = {no_return, [no_match|Name]},
			state__add_warning(AccState, ?WARN_RETURN_NO_RETURN,
					   Fun, Msg);
		      only_explicit ->
			Msg = {no_return, [only_explicit|Name]},
			state__add_warning(AccState, ?WARN_RETURN_ONLY_EXIT,
					   Fun, Msg);
		      only_normal ->
			Msg = {no_return, [only_normal|Name]},
			state__add_warning(AccState, ?WARN_RETURN_NO_RETURN,
					   Fun, Msg);
		      both ->
			Msg = {no_return, [both|Name]},
			state__add_warning(AccState, ?WARN_RETURN_NO_RETURN,
					   Fun, Msg)
		    end;
		  false ->
		    AccState
		end;
	      false ->
		AccState
	    end
	end
    end,
  #state{warnings = Warn} = lists:foldl(FoldFun, State, dict:to_list(TreeMap)),
  Warn.

state__is_escaping(Fun, #state{callgraph = Callgraph}) ->
  dialyzer_callgraph:is_escaping(Fun, Callgraph).

state__lookup_type_for_letrec(Var, #state{callgraph = Callgraph} = State) ->
  Label = get_label(Var),
  case dialyzer_callgraph:lookup_letrec(Label, Callgraph) of
    error -> error;
    {ok, FunLabel} ->
      {ok, state__fun_type(FunLabel, State)}
  end.

state__lookup_name({_, _, _} = MFA, #state{}) ->
  MFA;
state__lookup_name(top, #state{}) ->
  top;
state__lookup_name(Fun, #state{callgraph = Callgraph}) ->
  case dialyzer_callgraph:lookup_name(Fun, Callgraph) of
    {ok, MFA} -> MFA;
    error -> Fun
  end.

state__lookup_record(Tag, Arity, #state{records = Records}) ->
  case erl_types:lookup_record(Tag, Arity, Records) of
    {ok, Fields} ->
      {ok, t_tuple([t_atom(Tag)|
		    [FieldType || {_FieldName, FieldType} <- Fields]])};
    error ->
      error
  end.

state__get_args_and_status(Tree, #state{fun_tab = FunTab}) ->
  Fun = get_label(Tree),
  case dict:find(Fun, FunTab) of
    {ok, {not_handled, {ArgTypes, _}}} -> {ArgTypes, false};
    {ok, {ArgTypes, _}} -> {ArgTypes, true}
  end.

build_tree_map(Tree) ->
  Fun =
    fun(T, Dict) ->
	case cerl:is_c_fun(T) of
	  true ->
	    dict:store(get_label(T), T, Dict);
	  false ->
	    Dict
	end
    end,
  cerl_trees:fold(Fun, dict:new(), Tree).

init_fun_tab([top|Left], Dict, TreeMap, Callgraph, Plt, Opaques) ->
  NewDict = dict:store(top, {[], t_none()}, Dict),
  init_fun_tab(Left, NewDict, TreeMap, Callgraph, Plt, Opaques);
init_fun_tab([Fun|Left], Dict, TreeMap, Callgraph, Plt, Opaques) ->
  Arity = cerl:fun_arity(dict:fetch(Fun, TreeMap)),
  FunEntry =
    case dialyzer_callgraph:is_escaping(Fun, Callgraph) of
      true ->
        Args = lists:duplicate(Arity, t_any()),
	case lookup_fun_sig(Fun, Callgraph, Plt) of
	  none -> {Args, t_unit()};
	  {value, {RetType, _}} ->
	    case t_is_none(RetType) of
	      true -> {Args, t_none()};
	      false -> {Args, t_unit()}
	    end
	end;
      false -> {not_handled, {lists:duplicate(Arity, t_none()), t_unit()}}
    end,
  NewDict = dict:store(Fun, FunEntry, Dict),
  init_fun_tab(Left, NewDict, TreeMap, Callgraph, Plt, Opaques);
init_fun_tab([], Dict, _TreeMap, _Callgraph, _Plt, _Opaques) ->
  ?debug("DICT:~p\n",[dict:to_list(Dict)]),
  Dict.

state__update_fun_env(Tree, Map, #state{envs = Envs} = State) ->
  NewEnvs = dict:store(get_label(Tree), Map, Envs),
  State#state{envs = NewEnvs}.

state__fun_env(Tree, #state{envs = Envs}) ->
  Fun = get_label(Tree),
  case dict:find(Fun, Envs) of
    error -> none;
    {ok, Map} -> Map
  end.

state__clean_not_called(#state{fun_tab = FunTab} = State) ->
  NewFunTab =
    dict:map(fun(top, Entry) -> Entry;
		(_Fun, {not_handled, {Args, _}}) -> {Args, t_none()};
		(_Fun, Entry) -> Entry
	     end, FunTab),
  State#state{fun_tab = NewFunTab}.

state__all_fun_types(State) ->
  #state{fun_tab = FunTab} = state__clean_not_called(State),
  Tab1 = dict:erase(top, FunTab),
  dict:map(fun(_Fun, {Args, Ret}) -> t_fun(Args, Ret)end, Tab1).

state__fun_type(Fun, #state{fun_tab = FunTab}) ->
  Label =
    if is_integer(Fun) -> Fun;
       true -> get_label(Fun)
    end,
  Entry = dict:find(Label, FunTab),
  ?debug("FunType ~p:~p\n",[Label, Entry]),
  case Entry of
    {ok, {not_handled, {A, R}}} ->
      t_fun(A, R);
    {ok, {A, R}} ->
      t_fun(A, R)
  end.

state__update_fun_entry(Tree, ArgTypes, Out0,
			#state{fun_tab=FunTab, callgraph=CG, plt=Plt} = State)->
  Fun = get_label(Tree),
  Out1 =
    if Fun =:= top -> Out0;
       true ->
	case lookup_fun_sig(Fun, CG, Plt) of
	  {value, {SigRet, _}} -> t_inf(SigRet, Out0, opaque);
	  none -> Out0
	end
    end,
  Out = t_limit(Out1, ?TYPE_LIMIT),
  case dict:find(Fun, FunTab) of
    {ok, {ArgTypes, OldOut}} ->
      case t_is_equal(OldOut, Out) of
	true ->
	  ?debug("Fixpoint for ~w: ~s\n",
		 [state__lookup_name(Fun, State),
		  t_to_string(t_fun(ArgTypes, Out))]),
	  State;
	false ->
	  NewEntry = {ArgTypes, Out},
	  ?debug("New Entry for ~w: ~s\n",
		 [state__lookup_name(Fun, State),
		  t_to_string(t_fun(ArgTypes, Out))]),
	  NewFunTab = dict:store(Fun, NewEntry, FunTab),
	  State1 = State#state{fun_tab = NewFunTab},
	  state__add_work_from_fun(Tree, State1)
      end;
    {ok, {NewArgTypes, _OldOut}} ->
      %% Can only happen in self-recursive functions. Only update the out type.
      NewEntry = {NewArgTypes, Out},
      ?debug("New Entry for ~w: ~s\n",
	     [state__lookup_name(Fun, State),
	      t_to_string(t_fun(NewArgTypes, Out))]),
      NewFunTab = dict:store(Fun, NewEntry, FunTab),
      State1 = State#state{fun_tab = NewFunTab},
      state__add_work_from_fun(Tree, State1)
  end.

state__add_work_from_fun(_Tree, #state{warning_mode = true} = State) ->
  State;
state__add_work_from_fun(Tree, #state{callgraph = Callgraph,
				      tree_map = TreeMap} = State) ->
  case get_label(Tree) of
    top -> State;
    Label when is_integer(Label) ->
      case dialyzer_callgraph:in_neighbours(Label, Callgraph) of
	none -> State;
	MFAList ->
	  LabelList = [dialyzer_callgraph:lookup_label(MFA, Callgraph)
		       || MFA <- MFAList],
	  %% Must filter the result for results in this module.
	  FilteredList = [L || {ok, L} <- LabelList, dict:is_key(L, TreeMap)],
	  ?debug("~w: Will try to add:~w\n",
		 [state__lookup_name(get_label(Tree), State), MFAList]),
	  lists:foldl(fun(L, AccState) ->
			  state__add_work(L, AccState)
		      end, State, FilteredList)
      end
  end.

state__add_work(external, State) ->
  State;
state__add_work(top, State) ->
  State;
state__add_work(Fun, #state{work = Work} = State) ->
  NewWork = add_work(Fun, Work),
  State#state{work = NewWork}.

state__get_work(#state{work = Work, tree_map = TreeMap} = State) ->
  case get_work(Work) of
    none -> none;
    {Fun, NewWork} ->
      {dict:fetch(Fun, TreeMap), State#state{work = NewWork}}
  end.

state__lookup_call_site(Tree, #state{callgraph = Callgraph}) ->
  Label = get_label(Tree),
  dialyzer_callgraph:lookup_call_site(Label, Callgraph).

state__fun_info(external, #state{}) ->
  external;
state__fun_info({_, _, _} = MFA, #state{plt = PLT}) ->
  {MFA,
   dialyzer_plt:lookup(PLT, MFA),
   dialyzer_plt:lookup_contract(PLT, MFA),
   t_any()};
state__fun_info(Fun, #state{callgraph = CG, fun_tab = FunTab, plt = PLT}) ->
  {Sig, Contract} =
    case dialyzer_callgraph:lookup_name(Fun, CG) of
      error ->
	{dialyzer_plt:lookup(PLT, Fun), none};
      {ok, MFA} ->
	{dialyzer_plt:lookup(PLT, MFA), dialyzer_plt:lookup_contract(PLT, MFA)}
    end,
  LocalRet =
    case dict:fetch(Fun, FunTab) of
      {not_handled, {_Args, Ret}} -> Ret;
      {_Args, Ret} -> Ret
    end,
  ?debug("LocalRet: ~s\n", [t_to_string(LocalRet)]),
  {Fun, Sig, Contract, LocalRet}.

forward_args(Fun, ArgTypes, #state{work = Work, fun_tab = FunTab} = State) ->
  {OldArgTypes, OldOut, Fixpoint} =
    case dict:find(Fun, FunTab) of
      {ok, {not_handled, {OldArgTypes0, OldOut0}}} ->
	{OldArgTypes0, OldOut0, false};
      {ok, {OldArgTypes0, OldOut0}} ->
	{OldArgTypes0, OldOut0,
	 t_is_subtype(t_product(ArgTypes), t_product(OldArgTypes0))}
    end,
  case Fixpoint of
    true -> State;
    false ->
      NewArgTypes = [t_sup(X, Y) || {X, Y} <- lists:zip(ArgTypes, OldArgTypes)],
      NewWork = add_work(Fun, Work),
      ?debug("~w: forwarding args ~s\n",
	     [state__lookup_name(Fun, State),
	      t_to_string(t_product(NewArgTypes))]),
      NewFunTab = dict:store(Fun, {NewArgTypes, OldOut}, FunTab),
      State#state{work = NewWork, fun_tab = NewFunTab}
  end.

-spec state__cleanup(state()) -> state().

state__cleanup(#state{callgraph = Callgraph,
                      races = Races,
                      records = Records}) ->
  #state{callgraph = dialyzer_callgraph:cleanup(Callgraph),
         races = dialyzer_races:cleanup(Races),
         records = Records}.

-spec state__duplicate(state()) -> state().

state__duplicate(#state{callgraph = Callgraph} = State) ->
  State#state{callgraph = dialyzer_callgraph:duplicate(Callgraph)}.

-spec dispose_state(state()) -> ok.

dispose_state(#state{callgraph = Callgraph}) ->
  dialyzer_callgraph:dispose_race_server(Callgraph).

-spec state__get_callgraph(state()) -> dialyzer_callgraph:callgraph().

state__get_callgraph(#state{callgraph = Callgraph}) ->
  Callgraph.

-spec state__get_races(state()) -> dialyzer_races:races().

state__get_races(#state{races = Races}) ->
  Races.

-spec state__get_records(state()) -> dict().

state__get_records(#state{records = Records}) ->
  Records.

-spec state__put_callgraph(dialyzer_callgraph:callgraph(), state()) ->
  state().

state__put_callgraph(Callgraph, State) ->
  State#state{callgraph = Callgraph}.

-spec state__put_races(dialyzer_races:races(), state()) -> state().

state__put_races(Races, State) ->
  State#state{races = Races}.

-spec state__records_only(state()) -> state().

state__records_only(#state{records = Records}) ->
  #state{records = Records}.

%%% ===========================================================================
%%%
%%%  Races
%%%
%%% ===========================================================================

is_race_analysis_enabled(#state{races = Races, callgraph = Callgraph}) ->
  RaceDetection = dialyzer_callgraph:get_race_detection(Callgraph),
  RaceAnalysis = dialyzer_races:get_race_analysis(Races),
  RaceDetection andalso RaceAnalysis.

get_race_list_and_size(#state{races = Races}) ->
  dialyzer_races:get_race_list_and_size(Races).

renew_race_code(#state{races = Races, callgraph = Callgraph,
		       warning_mode = WarningMode} = State) ->
  case WarningMode of
    true -> State;
    false ->
      NewCallgraph = dialyzer_callgraph:renew_race_code(Races, Callgraph),
      State#state{callgraph = NewCallgraph}
  end.

renew_race_public_tables([Var], #state{races = Races, callgraph = Callgraph,
				      warning_mode = WarningMode} = State) ->
  case WarningMode of
    true -> State;
    false ->
      Table = dialyzer_races:get_new_table(Races),
      case Table of
	no_t -> State;
	_Other ->
	  VarLabel = get_label(Var),
	  NewCallgraph =
	    dialyzer_callgraph:renew_race_public_tables(VarLabel, Callgraph),
	  State#state{callgraph = NewCallgraph}
      end
  end.

%%% ===========================================================================
%%%
%%%  Worklist
%%%
%%% ===========================================================================

init_work(List) ->
  {List, [], sets:from_list(List)}.

get_work({[], [], _Set}) ->
  none;
get_work({[H|T], Rev, Set}) ->
  {H, {T, Rev, sets:del_element(H, Set)}};
get_work({[], Rev, Set}) ->
  get_work({lists:reverse(Rev), [], Set}).

add_work(New, {List, Rev, Set} = Work) ->
  case sets:is_element(New, Set) of
    true -> Work;
    false -> {List, [New|Rev], sets:add_element(New, Set)}
  end.

%%% ===========================================================================
%%%
%%%  Utilities.
%%%
%%% ===========================================================================

get_line([Line|_]) when is_integer(Line) -> Line;
get_line([_|Tail]) -> get_line(Tail);
get_line([]) -> -1.

get_file([]) -> [];
get_file([{file, File}|_]) -> File;
get_file([_|Tail]) -> get_file(Tail).

is_compiler_generated(Ann) ->
  lists:member(compiler_generated, Ann) orelse (get_line(Ann) < 1).

-spec format_args([cerl:cerl()], [erl_types:erl_type()], state()) ->
  nonempty_string().

format_args([], [], _State) ->
  "()";
format_args(ArgList, TypeList, State) ->
  "(" ++ format_args_1(ArgList, TypeList, State) ++ ")".

format_args_1([Arg], [Type], State) ->
  format_arg(Arg) ++ format_type(Type, State);
format_args_1([Arg|Args], [Type|Types], State) ->
  String =
    case cerl:is_literal(Arg) of
      true -> format_cerl(Arg);
      false -> format_arg(Arg) ++ format_type(Type, State)
    end,
  String ++ "," ++ format_args_1(Args, Types, State).

format_arg(Arg) ->
  Default = "",
  case cerl:is_c_var(Arg) of
    true ->
      case cerl:var_name(Arg) of
	Atom when is_atom(Atom) ->
	  case atom_to_list(Atom) of
	    "cor"++_ -> Default;
	    "rec"++_ -> Default;
	    Name -> Name ++ "::"
	  end;
	_What -> Default
      end;
    false ->
      Default
  end.

-spec format_type(erl_types:erl_type(), state()) -> string().

format_type(Type, #state{records = R}) ->
  t_to_string(Type, R).

-spec format_field_diffs(erl_types:erl_type(), state()) -> string().

format_field_diffs(RecConstruction, #state{records = R}) ->
  erl_types:record_field_diffs_to_string(RecConstruction, R).

-spec format_sig_args(erl_types:erl_type(), state()) -> string().

format_sig_args(Type, #state{records = R}) ->
  SigArgs = t_fun_args(Type),
  case SigArgs of
    [] -> "()";
    [SArg|SArgs] ->
      lists:flatten("(" ++ t_to_string(SArg, R)
		        ++ ["," ++ t_to_string(T, R) || T <- SArgs] ++ ")")
    end.

format_cerl(Tree) ->
  cerl_prettypr:format(cerl:set_ann(Tree, []),
		       [{hook, dialyzer_utils:pp_hook()},
			{noann, true},
			{paper, 100000}, %% These guys strip
			{ribbon, 100000} %% newlines.
		       ]).

format_patterns(Pats) ->
  NewPats = map_pats(cerl:c_values(Pats)),
  String = format_cerl(NewPats),
  case Pats of
    [PosVar] ->
      case cerl:is_c_var(PosVar) andalso (cerl:var_name(PosVar) =/= '') of
	true -> "variable "++String;
	false -> "pattern "++String
      end;
    _ ->
      "pattern "++String
  end.

map_pats(Pats) ->
  Fun = fun(Tree) ->
	    case cerl:is_c_var(Tree) of
	      true ->
		case cerl:var_name(Tree) of
		  Atom when is_atom(Atom) ->
		    case atom_to_list(Atom) of
		      "cor"++_ -> cerl:c_var('');
		      "rec"++_ -> cerl:c_var('');
		      _ -> cerl:set_ann(Tree, [])
		    end;
		  _What -> cerl:c_var('')
		end;
	      false ->
		cerl:set_ann(Tree, [])
	    end
	end,
  cerl_trees:map(Fun, Pats).

parent_allows_this(FunLbl, #state{callgraph = Callgraph, plt = Plt} =State) ->
  case state__is_escaping(FunLbl, State) of
    false -> false; % if it isn't escaping it can't be a return value
    true ->
      case state__lookup_name(FunLbl, State) of
	{_M, _F, _A} -> false; % if it has a name it is not a fun
	_ ->
	  case dialyzer_callgraph:in_neighbours(FunLbl, Callgraph) of
	    [Parent] ->
	      case state__lookup_name(Parent, State) of
		{_M, _F, _A} = PMFA ->
		  case dialyzer_plt:lookup_contract(Plt, PMFA) of
		    none -> false;
		    {value, C} ->
		      GenRet = dialyzer_contracts:get_contract_return(C),
		      case erl_types:t_is_fun(GenRet) of
			false -> false; % element of structure? far-fetched...
			true -> t_is_unit(t_fun_range(GenRet))
		      end
		  end;
		_ -> false % parent should have a name to have a contract
	      end;
	    _ -> false % called in other funs? far-fetched...
	  end
      end
  end.

classify_returns(Tree) ->
  case find_terminals(cerl:fun_body(Tree)) of
    {false, false} -> no_match;
    {true, false} -> only_explicit;
    {false, true} -> only_normal;
    {true, true} -> both
  end.

find_terminals(Tree) ->
  case cerl:type(Tree) of
    apply -> {false, true};
    binary -> {false, true};
    bitstr -> {false, true};
    call ->
      M0 = cerl:call_module(Tree),
      F0 = cerl:call_name(Tree),
      A = length(cerl:call_args(Tree)),
      case cerl:is_literal(M0) andalso cerl:is_literal(F0) of
	false ->
	  %% We cannot make assumptions. Say that both are true.
	  {true, true};
	true ->
	  M = cerl:concrete(M0),
	  F = cerl:concrete(F0),
	  case (erl_bif_types:is_known(M, F, A)
		andalso t_is_none(erl_bif_types:type(M, F, A))) of
	    true -> {true, false};
	    false -> {false, true}
	  end
      end;
    'case' -> find_terminals_list(cerl:case_clauses(Tree));
    'catch' -> find_terminals(cerl:catch_body(Tree));
    clause -> find_terminals(cerl:clause_body(Tree));
    cons -> {false, true};
    'fun' -> {false, true};
    'let' -> find_terminals(cerl:let_body(Tree));
    letrec -> find_terminals(cerl:letrec_body(Tree));
    literal -> {false, true};
    primop -> {false, false}; %% match_fail, etc. are not explicit exits.
    'receive' ->
      Timeout = cerl:receive_timeout(Tree),
      Clauses = cerl:receive_clauses(Tree),
      case (cerl:is_literal(Timeout) andalso
	    (cerl:concrete(Timeout) =:= infinity)) of
	true ->
	  if Clauses =:= [] -> {false, true}; %% A never ending receive.
	     true -> find_terminals_list(Clauses)
	  end;
	false -> find_terminals_list([cerl:receive_action(Tree)|Clauses])
      end;
    seq -> find_terminals(cerl:seq_body(Tree));
    'try' ->
      find_terminals_list([cerl:try_handler(Tree), cerl:try_body(Tree)]);
    tuple -> {false, true};
    values -> {false, true};
    var -> {false, true}
  end.

find_terminals_list(List) ->
  find_terminals_list(List, false, false).

find_terminals_list([Tree|Left], Explicit1, Normal1) ->
  {Explicit2, Normal2} = find_terminals(Tree),
  case {Explicit1 or Explicit2, Normal1 or Normal2} of
    {true, true} = Ans -> Ans;
    {NewExplicit, NewNormal} ->
      find_terminals_list(Left, NewExplicit, NewNormal)
  end;
find_terminals_list([], Explicit, Normal) ->
  {Explicit, Normal}.

%%----------------------------------------------------------------------------

%% If you write a record pattern in a matching that violates the
%% definition it will never match. However, the warning is lost in the
%% regular analysis. This after-pass catches it.

find_mismatched_record_patterns(Tree, State) ->
  cerl_trees:fold(
    fun(SubTree, AccState) ->
	case cerl:is_c_clause(SubTree) of
	  true -> lists:foldl(fun(P, AccState1) ->
				  find_rec_warnings(P, AccState1)
			      end, AccState, cerl:clause_pats(SubTree));
	  false -> AccState
	end
    end, State, Tree).

find_rec_warnings(Tree, State) ->
  cerl_trees:fold(
    fun(SubTree, AccState) ->
	case cerl:is_c_tuple(SubTree) of
	  true -> find_rec_warnings_tuple(SubTree, AccState);
	  false -> AccState
	end
    end, State, Tree).

find_rec_warnings_tuple(Tree, State) ->
  Elements = cerl:tuple_es(Tree),
  {_, _, EsType} = traverse_list(Elements, map__new(), State),
  TupleType = t_tuple(EsType),
  case t_is_none(TupleType) of
    true -> State;
    false ->
      %% Let's find out if this is a record construction.
      case Elements of
	[Tag|Left] ->
	  case cerl:is_c_atom(Tag) of
	    true ->
	      TagVal = cerl:atom_val(Tag),
	      case state__lookup_record(TagVal, length(Left), State) of
		error -> State;
		{ok, Prototype} ->
		  InfTupleType = t_inf(Prototype, TupleType),
		  case t_is_none(InfTupleType) of
		    true ->
		      Msg = {record_matching,
			     [format_patterns([Tree]), TagVal]},
		      state__add_warning(State, ?WARN_MATCHING, Tree, Msg);
		    false ->
		      State
		  end
	      end;
	    false ->
	      State
	  end;
	_ ->
	  State
      end
  end.

%%----------------------------------------------------------------------------

-ifdef(DEBUG_PP).
debug_pp(Tree, true) ->
  io:put_chars(cerl_prettypr:format(Tree, [{hook, cerl_typean:pp_hook()}])),
  io:nl(),
  ok;
debug_pp(Tree, false) ->
  io:put_chars(cerl_prettypr:format(strip_annotations(Tree))),
  io:nl(),
  ok.

strip_annotations(Tree) ->
  Fun = fun(T) ->
	    case cerl:type(T) of
	      var ->
		cerl:set_ann(T, [{label, cerl_trees:get_label(T)}]);
	      'fun' ->
		cerl:set_ann(T, [{label, cerl_trees:get_label(T)}]);
	      _ ->
		cerl:set_ann(T, [])
	    end
	end,
  cerl_trees:map(Fun, Tree).

-else.

debug_pp(_Tree, _UseHook) ->
  ok.
-endif.