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Diffstat (limited to 'lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_typeserver.erl')
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diff --git a/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_typeserver.erl b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_typeserver.erl new file mode 100644 index 0000000000..b6cab5e24b --- /dev/null +++ b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_typeserver.erl @@ -0,0 +1,2401 @@ +%%% Copyright 2010-2015 Manolis Papadakis <[email protected]>, +%%% Eirini Arvaniti <[email protected]> +%%% and Kostis Sagonas <[email protected]> +%%% +%%% This file is part of PropEr. +%%% +%%% PropEr is free software: you can redistribute it and/or modify +%%% it under the terms of the GNU General Public License as published by +%%% the Free Software Foundation, either version 3 of the License, or +%%% (at your option) any later version. +%%% +%%% PropEr is distributed in the hope that it will be useful, +%%% but WITHOUT ANY WARRANTY; without even the implied warranty of +%%% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +%%% GNU General Public License for more details. +%%% +%%% You should have received a copy of the GNU General Public License +%%% along with PropEr. If not, see <http://www.gnu.org/licenses/>. + +%%% @copyright 2010-2015 Manolis Papadakis, Eirini Arvaniti and Kostis Sagonas +%%% @version {@version} +%%% @author Manolis Papadakis + +%%% @doc Erlang type system - PropEr type system integration module. +%%% +%%% PropEr can parse types expressed in Erlang's type language and convert them +%%% to its own type format. Such expressions can be used instead of regular type +%%% constructors in the second argument of `?FORALL's. No extra notation is +%%% required; PropEr will detect which calls correspond to native types by +%%% applying a parse transform during compilation. This parse transform is +%%% automatically applied to any module that includes the `proper.hrl' header +%%% file. You can disable this feature by compiling your modules with +%%% `-DPROPER_NO_TRANS'. Note that this will currently also disable the +%%% automatic exporting of properties. +%%% +%%% The use of native types in properties is subject to the following usage +%%% rules: +%%% <ul> +%%% <li>Native types cannot be used outside of `?FORALL's.</li> +%%% <li>Inside `?FORALL's, native types can be combined with other native +%%% types, and even with PropEr types, inside tuples and lists (the constructs +%%% `[...]', `{...}' and `++' are all allowed).</li> +%%% <li>All other constructs of Erlang's built-in type system (e.g. `|' for +%%% union, `_' as an alias of `any()', `<<_:_>>' binary type syntax and +%%% `fun((...) -> ...)' function type syntax) are not allowed in `?FORALL's, +%%% because they are rejected by the Erlang parser.</li> +%%% <li>Anything other than a tuple constructor, list constructor, `++' +%%% application, local or remote call will automatically be considered a +%%% PropEr type constructor and not be processed further by the parse +%%% transform.</li> +%%% <li>Parametric native types are fully supported; of course, they can only +%%% appear instantiated in a `?FORALL'. The arguments of parametric native +%%% types are always interpreted as native types.</li> +%%% <li>Parametric PropEr types, on the other hand, can take any kind of +%%% argument. You can even mix native and PropEr types in the arguments of a +%%% PropEr type. For example, assuming that the following declarations are +%%% present: +%%% ``` my_proper_type() -> ?LET(...). +%%% -type my_native_type() :: ... .''' +%%% Then the following expressions are all legal: +%%% ``` vector(2, my_native_type()) +%%% function(0, my_native_type()) +%%% union([my_proper_type(), my_native_type()])''' </li> +%%% <li>Some type constructors can take native types as arguments (but only +%%% inside `?FORALL's): +%%% <ul> +%%% <li>`?SUCHTHAT', `?SUCHTHATMAYBE', `non_empty', `noshrink': these work +%%% with native types too</li> +%%% <li>`?LAZY', `?SHRINK', `resize', `?SIZED': these don't work with native +%%% types</li> +%%% <li>`?LET', `?LETSHRINK': only the top-level base type can be a native +%%% type</li> +%%% </ul></li> +%%% <li>Native type declarations in the `?FORALL's of a module can reference any +%%% custom type declared in a `-type' or `-opaque' attribute of the same +%%% module, as long as no module identifier is used.</li> +%%% <li>Typed records cannot be referenced inside `?FORALL's using the +%%% `#rec_name{}' syntax. To use a typed record in a `?FORALL', enclose the +%%% record in a custom type like so: +%%% ``` -type rec_name() :: #rec_name{}. ''' +%%% and use the custom type instead.</li> +%%% <li>`?FORALL's may contain references to self-recursive or mutually +%%% recursive native types, so long as each type in the hierarchy has a clear +%%% base case. +%%% Currently, PropEr requires that the toplevel of any recursive type +%%% declaration is either a (maybe empty) list or a union containing at least +%%% one choice that doesn't reference the type directly (it may, however, +%%% reference any of the types that are mutually recursive with it). This +%%% means, for example, that some valid recursive type declarations, such as +%%% this one: +%%% ``` ?FORALL(..., a(), ...) ''' +%%% where: +%%% ``` -type a() :: {'a','none' | a()}. ''' +%%% are not accepted by PropEr. However, such types can be rewritten in a way +%%% that allows PropEr to parse them: +%%% ``` ?FORALL(..., a(), ...) ''' +%%% where: +%%% ``` -type a() :: {'a','none'} | {'a',a()}. ''' +%%% This also means that recursive record declarations are not allowed: +%%% ``` ?FORALL(..., rec(), ...) ''' +%%% where: +%%% ``` -type rec() :: #rec{}. +%%% -record(rec, {a = 0 :: integer(), b = 'nil' :: 'nil' | #rec{}}). ''' +%%% A little rewritting can usually remedy this problem as well: +%%% ``` ?FORALL(..., rec(), ...) ''' +%%% where: +%%% ``` -type rec() :: #rec{b :: 'nil'} | #rec{b :: rec()}. +%%% -record(rec, {a = 0 :: integer(), b = 'nil' :: 'nil' | #rec{}}). ''' +%%% </li> +%%% <li>Remote types may be referenced in a `?FORALL', so long as they are +%%% exported from the remote module. Currently, PropEr requires that any +%%% remote modules whose types are directly referenced from within properties +%%% are present in the code path at compile time, either compiled with +%%% `debug_info' enabled or in source form. If PropEr cannot find a remote +%%% module at all, finds only a compiled object file with no debug +%%% information or fails to compile the source file, all calls to that module +%%% will automatically be considered calls to PropEr type constructors.</li> +%%% <li>For native types to be translated correctly, both the module that +%%% contains the `?FORALL' declaration as well as any module that contains +%%% the declaration of a type referenced (directly or indirectly) from inside +%%% a `?FORALL' must be present in the code path at runtime, either compiled +%%% with `debug_info' enabled or in source form.</li> +%%% <li>Local types with the same name as an auto-imported BIF are not accepted +%%% by PropEr, unless the BIF in question has been declared in a +%%% `no_auto_import' option.</li> +%%% <li>When an expression can be interpreted both as a PropEr type and as a +%%% native type, the former takes precedence. This means that a function +%%% `foo()' will shadow a type `foo()' if they are both present in the module. +%%% The same rule applies to remote functions and types as well.</li> +%%% <li>The above may cause some confusion when list syntax is used: +%%% <ul> +%%% <li>The expression `[integer()]' can be interpreted both ways, so the +%%% PropEr way applies. Therefore, instances of this type will always be +%%% lists of length 1, not arbitrary integer lists, as would be expected +%%% when interpreting the expression as a native type.</li> +%%% <li>Assuming that a custom type foo/1 has been declared, the expression +%%% `foo([integer()])' can only be interpreted as a native type declaration, +%%% which means that the generic type of integer lists will be passed to +%%% `foo/1'.</li> +%%% </ul></li> +%%% <li>Currently, PropEr does not detect the following mistakes: +%%% <ul> +%%% <li>inline record-field specializations that reference non-existent +%%% fields</li> +%%% <li>type parameters that are not present in the RHS of a `-type' +%%% declaration</li> +%%% <li>using `_' as a type variable in the LHS of a `-type' declaration</li> +%%% <li>using the same variable in more than one position in the LHS of a +%%% `-type' declaration</li> +%%% </ul> +%%% </li> +%%% </ul> +%%% +%%% You can use <a href="#index">these</a> functions to try out the type +%%% translation subsystem. +%%% +%%% CAUTION: These functions should never be used inside properties. They are +%%% meant for demonstration purposes only. + +-module(proper_typeserver). +-behaviour(gen_server). +-export([demo_translate_type/2, demo_is_instance/3]). + +-export([start/0, restart/0, stop/0, create_spec_test/3, get_exp_specced/1, + is_instance/3, translate_type/1]). +-export([init/1, handle_call/3, handle_cast/2, handle_info/2, terminate/2, + code_change/3]). +-export([get_exp_info/1, match/2]). + +-export_type([imm_type/0, mod_exp_types/0, mod_exp_funs/0]). + +-include("proper_internal.hrl"). + + +%%------------------------------------------------------------------------------ +%% Macros +%%------------------------------------------------------------------------------ + +-define(SRC_FILE_EXT, ".erl"). + +%% CAUTION: all these must be sorted +-define(STD_TYPES_0, + [any,arity,atom,binary,bitstring,bool,boolean,byte,char,float,integer, + list,neg_integer,non_neg_integer,number,pos_integer,string,term, + timeout]). +-define(HARD_ADTS, + %% gb_trees:iterator and gb_sets:iterator are NOT hardcoded + [{{array,0},array}, {{array,1},proper_array}, + {{dict,0},dict}, {{dict,2},proper_dict}, + {{gb_set,0},gb_sets}, {{gb_set,1},proper_gb_sets}, + {{gb_tree,0},gb_trees}, {{gb_tree,2},proper_gb_trees}, + {{orddict,2},proper_orddict}, + {{ordset,1},proper_ordsets}, + {{queue,0},queue}, {{queue,1},proper_queue}, + {{set,0},sets}, {{set,1},proper_sets}]). +-define(HARD_ADT_MODS, + [{array, [{{array,0}, + {{type,0,record,[{atom,0,array}]},[]}}]}, + {dict, [{{dict,0}, + {{type,0,record,[{atom,0,dict}]},[]}}]}, + {gb_sets, [{{gb_set,0}, + {{type,0,tuple,[{type,0,non_neg_integer,[]}, + {type,0,gb_set_node,[]}]},[]}}]}, + {gb_trees, [{{gb_tree,0}, + {{type,0,tuple,[{type,0,non_neg_integer,[]}, + {type,0,gb_tree_node,[]}]},[]}}]}, + %% Our parametric ADTs are already declared as normal types, we just + %% need to change them to opaques. + {proper_array, [{{array,1},already_declared}]}, + {proper_dict, [{{dict,2},already_declared}]}, + {proper_gb_sets, [{{gb_set,1},already_declared}, + {{iterator,1},already_declared}]}, + {proper_gb_trees, [{{gb_tree,2},already_declared}, + {{iterator,2},already_declared}]}, + {proper_orddict, [{{orddict,2},already_declared}]}, + {proper_ordsets, [{{ordset,1},already_declared}]}, + {proper_queue, [{{queue,1},already_declared}]}, + {proper_sets, [{{set,1},already_declared}]}, + {queue, [{{queue,0}, + {{type,0,tuple,[{type,0,list,[]},{type,0,list,[]}]},[]}}]}, + {sets, [{{set,0}, + {{type,0,record,[{atom,0,set}]},[]}}]}]). + + +%%------------------------------------------------------------------------------ +%% Types +%%------------------------------------------------------------------------------ + +-type type_name() :: atom(). +-type var_name() :: atom(). %% TODO: also integers? +-type field_name() :: atom(). + +-type type_kind() :: 'type' | 'record'. +-type type_ref() :: {type_kind(),type_name(),arity()}. +-ifdef(NO_MODULES_IN_OPAQUES). +-type substs_dict() :: dict(). %% dict(field_name(),ret_type()) +-else. +-type substs_dict() :: dict:dict(field_name(),ret_type()). +-endif. +-type full_type_ref() :: {mod_name(),type_kind(),type_name(), + [ret_type()] | substs_dict()}. +-type symb_info() :: 'not_symb' | {'orig_abs',abs_type()}. +-type type_repr() :: {'abs_type',abs_type(),[var_name()],symb_info()} + | {'cached',fin_type(),abs_type(),symb_info()} + | {'abs_record',[{field_name(),abs_type()}]}. +-type gen_fun() :: fun((size()) -> fin_type()). +-type rec_fun() :: fun(([gen_fun()],size()) -> fin_type()). +-type rec_arg() :: {boolean() | {'list',boolean(),rec_fun()},full_type_ref()}. +-type rec_args() :: [rec_arg()]. +-type ret_type() :: {'simple',fin_type()} | {'rec',rec_fun(),rec_args()}. +-type rec_fun_info() :: {pos_integer(),pos_integer(),[arity(),...], + [rec_fun(),...]}. + +-type imm_type_ref() :: {type_name(),arity()}. +-type hard_adt_repr() :: {abs_type(),[var_name()]} | 'already_declared'. +-type fun_ref() :: {fun_name(),arity()}. +-type fun_repr() :: fun_clause_repr(). +-type fun_clause_repr() :: {[abs_type()],abs_type()}. +-type proc_fun_ref() :: {fun_name(),[abs_type()],abs_type()}. +-type full_imm_type_ref() :: {mod_name(),type_name(),arity()}. +-type imm_stack() :: [full_imm_type_ref()]. +-type pat_field() :: 0 | 1 | atom(). +-type pattern() :: loose_tuple(pat_field()). +-type next_step() :: 'none' | 'take_head' | {'match_with',pattern()}. + +-ifdef(NO_MODULES_IN_OPAQUES). +%% @private_type +-type mod_exp_types() :: set(). %% set(imm_type_ref()) +-type mod_types() :: dict(). %% dict(type_ref(),type_repr()) +%% @private_type +-type mod_exp_funs() :: set(). %% set(fun_ref()) +-type mod_specs() :: dict(). %% dict(fun_ref(),fun_repr()) +-else. +%% @private_type +-type mod_exp_types() :: sets:set(imm_type_ref()). +-type mod_types() :: dict:dict(type_ref(),type_repr()). +%% @private_type +-type mod_exp_funs() :: sets:set(fun_ref()). +-type mod_specs() :: dict:dict(fun_ref(),fun_repr()). +-endif. + +-ifdef(NO_MODULES_IN_OPAQUES). +-record(state, + {cached = dict:new() :: dict(), %% dict(imm_type(),fin_type()) + exp_types = dict:new() :: dict(), %% dict(mod_name(),mod_exp_types()) + types = dict:new() :: dict(), %% dict(mod_name(),mod_types()) + exp_specs = dict:new() :: dict()}). %% dict(mod_name(),mod_specs()) +-else. +-record(state, + {cached = dict:new() :: dict:dict(), %% dict(imm_type(),fin_type()) + exp_types = dict:new() :: dict:dict(), %% dict(mod_name(),mod_exp_types()) + types = dict:new() :: dict:dict(), %% dict(mod_name(),mod_types()) + exp_specs = dict:new() :: dict:dict()}). %% dict(mod_name(),mod_specs()) +%% {cached = dict:new() :: dict:dict(imm_type(),fin_type()), +%% exp_types = dict:new() :: dict:dict(mod_name(),mod_exp_types()), +%% types = dict:new() :: dict:dict(mod_name(),mod_types()), +%% exp_specs = dict:new() :: dict:dict(mod_name(),mod_specs())}). +-endif. +-type state() :: #state{}. + +-record(mod_info, + {mod_exp_types = sets:new() :: mod_exp_types(), + mod_types = dict:new() :: mod_types(), + mod_opaques = sets:new() :: mod_exp_types(), + mod_exp_funs = sets:new() :: mod_exp_funs(), + mod_specs = dict:new() :: mod_specs()}). +-type mod_info() :: #mod_info{}. + +-type stack() :: [full_type_ref() | 'tuple' | 'list' | 'union' | 'fun']. +-ifdef(NO_MODULES_IN_OPAQUES). +-type var_dict() :: dict(). %% dict(var_name(),ret_type()) +-else. +-type var_dict() :: dict:dict(var_name(),ret_type()). +-endif. +%% @private_type +-type imm_type() :: {mod_name(),string()}. +%% @alias +-type fin_type() :: proper_types:type(). +-type tagged_result(T) :: {'ok',T} | 'error'. +-type tagged_result2(T,S) :: {'ok',T,S} | 'error'. +%% @alias +-type rich_result(T) :: {'ok',T} | {'error',term()}. +-type rich_result2(T,S) :: {'ok',T,S} | {'error',term()}. +-type false_positive_mfas() :: proper:false_positive_mfas(). + +-type server_call() :: {'create_spec_test',mfa(),timeout(),false_positive_mfas()} + | {'get_exp_specced',mod_name()} + | {'get_type_repr',mod_name(),type_ref(),boolean()} + | {'translate_type',imm_type()}. +-type server_response() :: rich_result(proper:test()) + | rich_result([mfa()]) + | rich_result(type_repr()) + | rich_result(fin_type()). + + +%%------------------------------------------------------------------------------ +%% Server interface functions +%%------------------------------------------------------------------------------ + +%% @private +-spec start() -> 'ok'. +start() -> + {ok,TypeserverPid} = gen_server:start_link(?MODULE, dummy, []), + put('$typeserver_pid', TypeserverPid), + ok. + +%% @private +-spec restart() -> 'ok'. +restart() -> + TypeserverPid = get('$typeserver_pid'), + case (TypeserverPid =:= undefined orelse not is_process_alive(TypeserverPid)) of + true -> start(); + false -> ok + end. + +%% @private +-spec stop() -> 'ok'. +stop() -> + TypeserverPid = get('$typeserver_pid'), + erase('$typeserver_pid'), + gen_server:cast(TypeserverPid, stop). + +%% @private +-spec create_spec_test(mfa(), timeout(), false_positive_mfas()) -> rich_result(proper:test()). +create_spec_test(MFA, SpecTimeout, FalsePositiveMFAs) -> + TypeserverPid = get('$typeserver_pid'), + gen_server:call(TypeserverPid, {create_spec_test,MFA,SpecTimeout,FalsePositiveMFAs}). + +%% @private +-spec get_exp_specced(mod_name()) -> rich_result([mfa()]). +get_exp_specced(Mod) -> + TypeserverPid = get('$typeserver_pid'), + gen_server:call(TypeserverPid, {get_exp_specced,Mod}). + +-spec get_type_repr(mod_name(), type_ref(), boolean()) -> + rich_result(type_repr()). +get_type_repr(Mod, TypeRef, IsRemote) -> + TypeserverPid = get('$typeserver_pid'), + gen_server:call(TypeserverPid, {get_type_repr,Mod,TypeRef,IsRemote}). + +%% @private +-spec translate_type(imm_type()) -> rich_result(fin_type()). +translate_type(ImmType) -> + TypeserverPid = get('$typeserver_pid'), + gen_server:call(TypeserverPid, {translate_type,ImmType}). + +%% @doc Translates the native type expression `TypeExpr' (which should be +%% provided inside a string) into a PropEr type, which can then be passed to any +%% of the demo functions defined in the {@link proper_gen} module. PropEr acts +%% as if it found this type expression inside the code of module `Mod'. +-spec demo_translate_type(mod_name(), string()) -> rich_result(fin_type()). +demo_translate_type(Mod, TypeExpr) -> + start(), + Result = translate_type({Mod,TypeExpr}), + stop(), + Result. + +%% @doc Checks if `Term' is a valid instance of native type `TypeExpr' (which +%% should be provided inside a string). PropEr acts as if it found this type +%% expression inside the code of module `Mod'. +-spec demo_is_instance(term(), mod_name(), string()) -> + boolean() | {'error',term()}. +demo_is_instance(Term, Mod, TypeExpr) -> + case parse_type(TypeExpr) of + {ok,TypeForm} -> + start(), + Result = + %% Force the typeserver to load the module. + case translate_type({Mod,"integer()"}) of + {ok,_FinType} -> + try is_instance(Term, Mod, TypeForm) + catch + throw:{'$typeserver',Reason} -> {error, Reason} + end; + {error,_Reason} = Error -> + Error + end, + stop(), + Result; + {error,_Reason} = Error -> + Error + end. + + +%%------------------------------------------------------------------------------ +%% Implementation of gen_server interface +%%------------------------------------------------------------------------------ + +%% @private +-spec init(_) -> {'ok',state()}. +init(_) -> + {ok, #state{}}. + +%% @private +-spec handle_call(server_call(), _, state()) -> + {'reply',server_response(),state()}. +handle_call({create_spec_test,MFA,SpecTimeout,FalsePositiveMFAs}, _From, State) -> + case create_spec_test(MFA, SpecTimeout, FalsePositiveMFAs, State) of + {ok,Test,NewState} -> + {reply, {ok,Test}, NewState}; + {error,_Reason} = Error -> + {reply, Error, State} + end; +handle_call({get_exp_specced,Mod}, _From, State) -> + case get_exp_specced(Mod, State) of + {ok,MFAs,NewState} -> + {reply, {ok,MFAs}, NewState}; + {error,_Reason} = Error -> + {reply, Error, State} + end; +handle_call({get_type_repr,Mod,TypeRef,IsRemote}, _From, State) -> + case get_type_repr(Mod, TypeRef, IsRemote, State) of + {ok,TypeRepr,NewState} -> + {reply, {ok,TypeRepr}, NewState}; + {error,_Reason} = Error -> + {reply, Error, State} + end; +handle_call({translate_type,ImmType}, _From, State) -> + case translate_type(ImmType, State) of + {ok,FinType,NewState} -> + {reply, {ok,FinType}, NewState}; + {error,_Reason} = Error -> + {reply, Error, State} + end. + +%% @private +-spec handle_cast('stop', state()) -> {'stop','normal',state()}. +handle_cast(stop, State) -> + {stop, normal, State}. + +%% @private +-spec handle_info(term(), state()) -> {'stop',{'received_info',term()},state()}. +handle_info(Info, State) -> + {stop, {received_info,Info}, State}. + +%% @private +-spec terminate(term(), state()) -> 'ok'. +terminate(_Reason, _State) -> + ok. + +%% @private +-spec code_change(term(), state(), _) -> {'ok',state()}. +code_change(_OldVsn, State, _) -> + {ok, State}. + + +%%------------------------------------------------------------------------------ +%% Top-level interface +%%------------------------------------------------------------------------------ + +-spec create_spec_test(mfa(), timeout(), false_positive_mfas(), state()) -> + rich_result2(proper:test(),state()). +create_spec_test(MFA, SpecTimeout, FalsePositiveMFAs, State) -> + case get_exp_spec(MFA, State) of + {ok,FunRepr,NewState} -> + make_spec_test(MFA, FunRepr, SpecTimeout, FalsePositiveMFAs, NewState); + {error,_Reason} = Error -> + Error + end. + +-spec get_exp_spec(mfa(), state()) -> rich_result2(fun_repr(),state()). +get_exp_spec({Mod,Fun,Arity} = MFA, State) -> + case add_module(Mod, State) of + {ok,#state{exp_specs = ExpSpecs} = NewState} -> + ModExpSpecs = dict:fetch(Mod, ExpSpecs), + case dict:find({Fun,Arity}, ModExpSpecs) of + {ok,FunRepr} -> + {ok, FunRepr, NewState}; + error -> + {error, {function_not_exported_or_specced,MFA}} + end; + {error,_Reason} = Error -> + Error + end. + +-spec make_spec_test(mfa(), fun_repr(), timeout(), false_positive_mfas(), state()) -> + rich_result2(proper:test(),state()). +make_spec_test({Mod,_Fun,_Arity}=MFA, {Domain,_Range}=FunRepr, SpecTimeout, FalsePositiveMFAs, State) -> + case convert(Mod, {type,0,'$fixed_list',Domain}, State) of + {ok,FinType,NewState} -> + Test = ?FORALL(Args, FinType, apply_spec_test(MFA, FunRepr, SpecTimeout, FalsePositiveMFAs, Args)), + {ok, Test, NewState}; + {error,_Reason} = Error -> + Error + end. + +-spec apply_spec_test(mfa(), fun_repr(), timeout(), false_positive_mfas(), term()) -> proper:test(). +apply_spec_test({Mod,Fun,_Arity}=MFA, {_Domain,Range}, SpecTimeout, FalsePositiveMFAs, Args) -> + ?TIMEOUT(SpecTimeout, + begin + %% NOTE: only call apply/3 inside try/catch (do not trust ?MODULE:is_instance/3) + Result = + try apply(Mod,Fun,Args) of + X -> {ok, X} + catch + X:Y -> {X, Y} + end, + case Result of + {ok, Z} -> + case ?MODULE:is_instance(Z,Mod,Range) of + true -> + true; + false when is_function(FalsePositiveMFAs) -> + FalsePositiveMFAs(MFA, Args, {fail, Z}); + false -> + false + end; + Exception when is_function(FalsePositiveMFAs) -> + case FalsePositiveMFAs(MFA, Args, Exception) of + true -> + true; + false -> + error(Exception, erlang:get_stacktrace()) + end; + Exception -> + error(Exception, erlang:get_stacktrace()) + end + end). + +-spec get_exp_specced(mod_name(), state()) -> rich_result2([mfa()],state()). +get_exp_specced(Mod, State) -> + case add_module(Mod, State) of + {ok,#state{exp_specs = ExpSpecs} = NewState} -> + ModExpSpecs = dict:fetch(Mod, ExpSpecs), + ExpSpecced = [{Mod,F,A} || {F,A} <- dict:fetch_keys(ModExpSpecs)], + {ok, ExpSpecced, NewState}; + {error,_Reason} = Error -> + Error + end. + +-spec get_type_repr(mod_name(), type_ref(), boolean(), state()) -> + rich_result2(type_repr(),state()). +get_type_repr(Mod, {type,Name,Arity} = TypeRef, true, State) -> + case prepare_for_remote(Mod, Name, Arity, State) of + {ok,NewState} -> + get_type_repr(Mod, TypeRef, false, NewState); + {error,_Reason} = Error -> + Error + end; +get_type_repr(Mod, TypeRef, false, #state{types = Types} = State) -> + ModTypes = dict:fetch(Mod, Types), + case dict:find(TypeRef, ModTypes) of + {ok,TypeRepr} -> + {ok, TypeRepr, State}; + error -> + {error, {missing_type,Mod,TypeRef}} + end. + +-spec prepare_for_remote(mod_name(), type_name(), arity(), state()) -> + rich_result(state()). +prepare_for_remote(RemMod, Name, Arity, State) -> + case add_module(RemMod, State) of + {ok,#state{exp_types = ExpTypes} = NewState} -> + RemModExpTypes = dict:fetch(RemMod, ExpTypes), + case sets:is_element({Name,Arity}, RemModExpTypes) of + true -> {ok, NewState}; + false -> {error, {type_not_exported,{RemMod,Name,Arity}}} + end; + {error,_Reason} = Error -> + Error + end. + +-spec translate_type(imm_type(), state()) -> rich_result2(fin_type(),state()). +translate_type({Mod,Str} = ImmType, #state{cached = Cached} = State) -> + case dict:find(ImmType, Cached) of + {ok,Type} -> + {ok, Type, State}; + error -> + case parse_type(Str) of + {ok,TypeForm} -> + case add_module(Mod, State) of + {ok,NewState} -> + case convert(Mod, TypeForm, NewState) of + {ok,FinType, + #state{cached = Cached} = FinalState} -> + NewCached = dict:store(ImmType, FinType, + Cached), + {ok, FinType, + FinalState#state{cached = NewCached}}; + {error,_Reason} = Error -> + Error + end; + {error,_Reason} = Error -> + Error + end; + {error,Reason} -> + {error, {parse_error,Str,Reason}} + end + end. + +-spec parse_type(string()) -> rich_result(abs_type()). +parse_type(Str) -> + TypeStr = "-type mytype() :: " ++ Str ++ ".", + case erl_scan:string(TypeStr) of + {ok,Tokens,_EndLocation} -> + case erl_parse:parse_form(Tokens) of + {ok,{attribute,_Line,type,{mytype,TypeExpr,[]}}} -> + {ok, TypeExpr}; + {error,_ErrorInfo} = Error -> + Error + end; + {error,ErrorInfo,_EndLocation} -> + {error, ErrorInfo} + end. + +-spec add_module(mod_name(), state()) -> rich_result(state()). +add_module(Mod, #state{exp_types = ExpTypes} = State) -> + case dict:is_key(Mod, ExpTypes) of + true -> + {ok, State}; + false -> + case get_code_and_exports(Mod) of + {ok,AbsCode,ModExpFuns} -> + RawModInfo = get_mod_info(Mod, AbsCode, ModExpFuns), + ModInfo = process_adts(Mod, RawModInfo), + {ok, store_mod_info(Mod,ModInfo,State)}; + {error,Reason} -> + {error, {cant_load_code,Mod,Reason}} + end + end. + +%% @private +-spec get_exp_info(mod_name()) -> rich_result2(mod_exp_types(),mod_exp_funs()). +get_exp_info(Mod) -> + case get_code_and_exports(Mod) of + {ok,AbsCode,ModExpFuns} -> + RawModInfo = get_mod_info(Mod, AbsCode, ModExpFuns), + {ok, RawModInfo#mod_info.mod_exp_types, ModExpFuns}; + {error,_Reason} = Error -> + Error + end. + +-spec get_code_and_exports(mod_name()) -> + rich_result2([abs_form()],mod_exp_funs()). +get_code_and_exports(Mod) -> + case code:get_object_code(Mod) of + {Mod, ObjBin, _ObjFileName} -> + case get_chunks(ObjBin) of + {ok,_AbsCode,_ModExpFuns} = Result -> + Result; + {error,Reason} -> + get_code_and_exports_from_source(Mod, Reason) + end; + error -> + get_code_and_exports_from_source(Mod, cant_find_object_file) + end. + +-spec get_code_and_exports_from_source(mod_name(), term()) -> + rich_result2([abs_form()],mod_exp_funs()). +get_code_and_exports_from_source(Mod, ObjError) -> + SrcFileName = atom_to_list(Mod) ++ ?SRC_FILE_EXT, + case code:where_is_file(SrcFileName) of + FullSrcFileName when is_list(FullSrcFileName) -> + Opts = [binary,debug_info,return_errors,{d,'PROPER_REMOVE_PROPS'}], + case compile:file(FullSrcFileName, Opts) of + {ok,Mod,Binary} -> + get_chunks(Binary); + {error,Errors,_Warnings} -> + {error, {ObjError,{cant_compile_source_file,Errors}}} + end; + non_existing -> + {error, {ObjError,cant_find_source_file}} + end. + +-spec get_chunks(string() | binary()) -> + rich_result2([abs_form()],mod_exp_funs()). +get_chunks(ObjFile) -> + case beam_lib:chunks(ObjFile, [abstract_code,exports]) of + {ok,{_Mod,[{abstract_code,AbsCodeChunk},{exports,ExpFunsList}]}} -> + case AbsCodeChunk of + {raw_abstract_v1,AbsCode} -> + %% HACK: Add a declaration for iolist() to every module + {ok, add_iolist(AbsCode), sets:from_list(ExpFunsList)}; + no_abstract_code -> + {error, no_abstract_code}; + _ -> + {error, unsupported_abstract_code_format} + end; + {error,beam_lib,Reason} -> + {error, Reason} + end. + +-spec add_iolist([abs_form()]) -> [abs_form()]. +add_iolist(Forms) -> + IOListDef = + {type,0,maybe_improper_list, + [{type,0,union,[{type,0,byte,[]},{type,0,binary,[]}, + {type,0,iolist,[]}]}, + {type,0,binary,[]}]}, + IOListDecl = {attribute,0,type,{iolist,IOListDef,[]}}, + [IOListDecl | Forms]. + +-spec get_mod_info(mod_name(), [abs_form()], mod_exp_funs()) -> mod_info(). +get_mod_info(Mod, AbsCode, ModExpFuns) -> + StartModInfo = #mod_info{mod_exp_funs = ModExpFuns}, + ImmModInfo = lists:foldl(fun add_mod_info/2, StartModInfo, AbsCode), + #mod_info{mod_specs = AllModSpecs} = ImmModInfo, + IsExported = fun(FunRef,_FunRepr) -> sets:is_element(FunRef,ModExpFuns) end, + ModExpSpecs = dict:filter(IsExported, AllModSpecs), + ModInfo = ImmModInfo#mod_info{mod_specs = ModExpSpecs}, + case orddict:find(Mod, ?HARD_ADT_MODS) of + {ok,ModADTs} -> + #mod_info{mod_exp_types = ModExpTypes, mod_types = ModTypes, + mod_opaques = ModOpaques} = ModInfo, + ModADTsSet = + sets:from_list([ImmTypeRef + || {ImmTypeRef,_HardADTRepr} <- ModADTs]), + NewModExpTypes = sets:union(ModExpTypes, ModADTsSet), + NewModTypes = lists:foldl(fun store_hard_adt/2, ModTypes, ModADTs), + NewModOpaques = sets:union(ModOpaques, ModADTsSet), + ModInfo#mod_info{mod_exp_types = NewModExpTypes, + mod_types = NewModTypes, + mod_opaques = NewModOpaques}; + error -> + ModInfo + end. + +-spec store_hard_adt({imm_type_ref(),hard_adt_repr()}, mod_types()) -> + mod_types(). +store_hard_adt({_ImmTypeRef,already_declared}, ModTypes) -> + ModTypes; +store_hard_adt({{Name,Arity},{TypeForm,VarNames}}, ModTypes) -> + TypeRef = {type,Name,Arity}, + TypeRepr = {abs_type,TypeForm,VarNames,not_symb}, + dict:store(TypeRef, TypeRepr, ModTypes). + +-spec add_mod_info(abs_form(), mod_info()) -> mod_info(). +add_mod_info({attribute,_Line,export_type,TypesList}, + #mod_info{mod_exp_types = ModExpTypes} = ModInfo) -> + NewModExpTypes = sets:union(sets:from_list(TypesList), ModExpTypes), + ModInfo#mod_info{mod_exp_types = NewModExpTypes}; +add_mod_info({attribute,_Line,type,{{record,RecName},Fields,[]}}, + #mod_info{mod_types = ModTypes} = ModInfo) -> + FieldInfo = [process_rec_field(F) || F <- Fields], + NewModTypes = dict:store({record,RecName,0}, {abs_record,FieldInfo}, + ModTypes), + ModInfo#mod_info{mod_types = NewModTypes}; +add_mod_info({attribute,_Line,record,{RecName,Fields}}, + #mod_info{mod_types = ModTypes} = ModInfo) -> + case dict:is_key(RecName, ModTypes) of + true -> + ModInfo; + false -> + TypedRecord = {attribute,0,type,{{record,RecName},Fields,[]}}, + add_mod_info(TypedRecord, ModInfo) + end; +add_mod_info({attribute,_Line,Kind,{Name,TypeForm,VarForms}}, + #mod_info{mod_types = ModTypes, + mod_opaques = ModOpaques} = ModInfo) + when Kind =:= type; Kind =:= opaque -> + Arity = length(VarForms), + VarNames = [V || {var,_,V} <- VarForms], + %% TODO: No check whether variables are different, or non-'_'. + NewModTypes = dict:store({type,Name,Arity}, + {abs_type,TypeForm,VarNames,not_symb}, ModTypes), + NewModOpaques = + case Kind of + type -> ModOpaques; + opaque -> sets:add_element({Name,Arity}, ModOpaques) + end, + ModInfo#mod_info{mod_types = NewModTypes, mod_opaques = NewModOpaques}; +add_mod_info({attribute,_Line,spec,{RawFunRef,[RawFirstClause | _Rest]}}, + #mod_info{mod_specs = ModSpecs} = ModInfo) -> + FunRef = case RawFunRef of + {_Mod,Name,Arity} -> {Name,Arity}; + {_Name,_Arity} = F -> F + end, + %% TODO: We just take the first function clause. + FirstClause = process_fun_clause(RawFirstClause), + NewModSpecs = dict:store(FunRef, FirstClause, ModSpecs), + ModInfo#mod_info{mod_specs = NewModSpecs}; +add_mod_info(_Form, ModInfo) -> + ModInfo. + +-spec process_rec_field(abs_rec_field()) -> {field_name(),abs_type()}. +process_rec_field({record_field,_,{atom,_,FieldName}}) -> + {FieldName, {type,0,any,[]}}; +process_rec_field({record_field,_,{atom,_,FieldName},_Initialization}) -> + {FieldName, {type,0,any,[]}}; +process_rec_field({typed_record_field,RecField,FieldType}) -> + {FieldName,_} = process_rec_field(RecField), + {FieldName, FieldType}. + +-spec process_fun_clause(abs_type()) -> fun_clause_repr(). +process_fun_clause({type,_,'fun',[{type,_,product,Domain},Range]}) -> + {Domain, Range}; +process_fun_clause({type,_,bounded_fun,[MainClause,Constraints]}) -> + {RawDomain,RawRange} = process_fun_clause(MainClause), + VarSubsts = [{V,T} || {type,_,constraint, + [{atom,_,is_subtype},[{var,_,V},T]]} <- Constraints, + V =/= '_'], + VarSubstsDict = dict:from_list(VarSubsts), + Domain = [update_vars(A, VarSubstsDict, false) || A <- RawDomain], + Range = update_vars(RawRange, VarSubstsDict, false), + {Domain, Range}. + +-spec store_mod_info(mod_name(), mod_info(), state()) -> state(). +store_mod_info(Mod, #mod_info{mod_exp_types = ModExpTypes, mod_types = ModTypes, + mod_specs = ImmModExpSpecs}, + #state{exp_types = ExpTypes, types = Types, + exp_specs = ExpSpecs} = State) -> + NewExpTypes = dict:store(Mod, ModExpTypes, ExpTypes), + NewTypes = dict:store(Mod, ModTypes, Types), + ModExpSpecs = dict:map(fun unbound_to_any/2, ImmModExpSpecs), + NewExpSpecs = dict:store(Mod, ModExpSpecs, ExpSpecs), + State#state{exp_types = NewExpTypes, types = NewTypes, + exp_specs = NewExpSpecs}. + +-spec unbound_to_any(fun_ref(), fun_repr()) -> fun_repr(). +unbound_to_any(_FunRef, {Domain,Range}) -> + EmptySubstsDict = dict:new(), + NewDomain = [update_vars(A,EmptySubstsDict,true) || A <- Domain], + NewRange = update_vars(Range, EmptySubstsDict, true), + {NewDomain, NewRange}. + + +%%------------------------------------------------------------------------------ +%% ADT translation functions +%%------------------------------------------------------------------------------ + +-spec process_adts(mod_name(), mod_info()) -> mod_info(). +process_adts(Mod, + #mod_info{mod_exp_types = ModExpTypes, mod_opaques = ModOpaques, + mod_specs = ModExpSpecs} = ModInfo) -> + %% TODO: No warning on unexported opaques. + case sets:to_list(sets:intersection(ModExpTypes,ModOpaques)) of + [] -> + ModInfo; + ModADTs -> + %% TODO: No warning on unexported API functions. + ModExpSpecsList = [{Name,Domain,Range} + || {{Name,_Arity},{Domain,Range}} + <- dict:to_list(ModExpSpecs)], + AddADT = fun(ADT,Acc) -> add_adt(Mod,ADT,Acc,ModExpSpecsList) end, + lists:foldl(AddADT, ModInfo, ModADTs) + end. + +-spec add_adt(mod_name(), imm_type_ref(), mod_info(), [proc_fun_ref()]) -> + mod_info(). +add_adt(Mod, {Name,Arity}, #mod_info{mod_types = ModTypes} = ModInfo, + ModExpFunSpecs) -> + ADTRef = {type,Name,Arity}, + {abs_type,InternalRepr,VarNames,not_symb} = dict:fetch(ADTRef, ModTypes), + FullADTRef = {Mod,Name,Arity}, + %% TODO: No warning on unsuitable range. + SymbCalls1 = [get_symb_call(FullADTRef,Spec) || Spec <- ModExpFunSpecs], + %% TODO: No warning on bad use of variables. + SymbCalls2 = [fix_vars(FullADTRef,Call,RangeVars,VarNames) + || {ok,Call,RangeVars} <- SymbCalls1], + case [Call || {ok,Call} <- SymbCalls2] of + [] -> + %% TODO: No warning on no acceptable spec. + ModInfo; + SymbCalls3 -> + NewADTRepr = {abs_type,{type,0,union,SymbCalls3},VarNames, + {orig_abs,InternalRepr}}, + NewModTypes = dict:store(ADTRef, NewADTRepr, ModTypes), + ModInfo#mod_info{mod_types = NewModTypes} + end. + +-spec get_symb_call(full_imm_type_ref(), proc_fun_ref()) -> + tagged_result2(abs_type(),[var_name()]). +get_symb_call({Mod,_TypeName,_Arity} = FullADTRef, {FunName,Domain,Range}) -> + BaseCall = {type,0,tuple,[{atom,0,'$call'},{atom,0,Mod},{atom,0,FunName}, + {type,0,'$fixed_list',Domain}]}, + unwrap_range(FullADTRef, BaseCall, Range, false). + +-spec unwrap_range(full_imm_type_ref(), abs_type() | next_step(), abs_type(), + boolean()) -> + tagged_result2(abs_type() | next_step(),[var_name()]). +unwrap_range(FullADTRef, Call, {paren_type,_,[Type]}, TestRun) -> + unwrap_range(FullADTRef, Call, Type, TestRun); +unwrap_range(FullADTRef, Call, {ann_type,_,[_Var,Type]}, TestRun) -> + unwrap_range(FullADTRef, Call, Type, TestRun); +unwrap_range(FullADTRef, Call, {type,_,list,[ElemType]}, TestRun) -> + unwrap_list(FullADTRef, Call, ElemType, TestRun); +unwrap_range(FullADTRef, Call, {type,_,maybe_improper_list,[Cont,_Term]}, + TestRun) -> + unwrap_list(FullADTRef, Call, Cont, TestRun); +unwrap_range(FullADTRef, Call, {type,_,nonempty_list,[ElemType]}, TestRun) -> + unwrap_list(FullADTRef, Call, ElemType, TestRun); +unwrap_range(FullADTRef, Call, {type,_,nonempty_improper_list,[Cont,_Term]}, + TestRun) -> + unwrap_list(FullADTRef, Call, Cont, TestRun); +unwrap_range(FullADTRef, Call, + {type,_,nonempty_maybe_improper_list,[Cont,_Term]}, TestRun) -> + unwrap_list(FullADTRef, Call, Cont, TestRun); +unwrap_range(_FullADTRef, _Call, {type,_,tuple,any}, _TestRun) -> + error; +unwrap_range(FullADTRef, Call, {type,_,tuple,FieldForms}, TestRun) -> + Translates = fun(T) -> unwrap_range(FullADTRef,none,T,true) =/= error end, + case proper_arith:find_first(Translates, FieldForms) of + none -> + error; + {TargetPos,TargetElem} -> + Pattern = get_pattern(TargetPos, FieldForms), + case TestRun of + true -> + NewCall = + case Call of + none -> {match_with,Pattern}; + _ -> Call + end, + {ok, NewCall, []}; + false -> + AbsPattern = term_to_singleton_type(Pattern), + NewCall = + {type,0,tuple, + [{atom,0,'$call'},{atom,0,?MODULE},{atom,0,match}, + {type,0,'$fixed_list',[AbsPattern,Call]}]}, + unwrap_range(FullADTRef, NewCall, TargetElem, TestRun) + end + end; +unwrap_range(FullADTRef, Call, {type,_,union,Choices}, TestRun) -> + TestedChoices = [unwrap_range(FullADTRef,none,C,true) || C <- Choices], + NotError = fun(error) -> false; (_) -> true end, + case proper_arith:find_first(NotError, TestedChoices) of + none -> + error; + {_ChoicePos,{ok,none,_RangeVars}} -> + error; + {ChoicePos,{ok,NextStep,_RangeVars}} -> + {A, [ChoiceElem|B]} = lists:split(ChoicePos-1, Choices), + OtherChoices = A ++ B, + DistinctChoice = + case NextStep of + take_head -> + fun cant_have_head/1; + {match_with,Pattern} -> + fun(C) -> cant_match(Pattern, C) end + end, + case {lists:all(DistinctChoice,OtherChoices), TestRun} of + {true,true} -> + {ok, NextStep, []}; + {true,false} -> + unwrap_range(FullADTRef, Call, ChoiceElem, TestRun); + {false,_} -> + error + end + end; +unwrap_range({_Mod,SameName,Arity}, Call, {type,_,SameName,ArgForms}, + _TestRun) -> + RangeVars = [V || {var,_,V} <- ArgForms, V =/= '_'], + case length(ArgForms) =:= Arity andalso length(RangeVars) =:= Arity of + true -> {ok, Call, RangeVars}; + false -> error + end; +unwrap_range({SameMod,SameName,_Arity} = FullADTRef, Call, + {remote_type,_,[{atom,_,SameMod},{atom,_,SameName},ArgForms]}, + TestRun) -> + unwrap_range(FullADTRef, Call, {type,0,SameName,ArgForms}, TestRun); +unwrap_range(_FullADTRef, _Call, _Range, _TestRun) -> + error. + +-spec unwrap_list(full_imm_type_ref(), abs_type() | next_step(), abs_type(), + boolean()) -> + tagged_result2(abs_type() | next_step(),[var_name()]). +unwrap_list(FullADTRef, Call, HeadType, TestRun) -> + NewCall = + case TestRun of + true -> + case Call of + none -> take_head; + _ -> Call + end; + false -> + {type,0,tuple,[{atom,0,'$call'},{atom,0,erlang},{atom,0,hd}, + {type,0,'$fixed_list',[Call]}]} + end, + unwrap_range(FullADTRef, NewCall, HeadType, TestRun). + +-spec fix_vars(full_imm_type_ref(), abs_type(), [var_name()], [var_name()]) -> + tagged_result(abs_type()). +fix_vars(FullADTRef, Call, RangeVars, VarNames) -> + NotAnyVar = fun(V) -> V =/= '_' end, + case no_duplicates(VarNames) andalso lists:all(NotAnyVar,VarNames) of + true -> + RawUsedVars = + collect_vars(FullADTRef, Call, [[V] || V <- RangeVars]), + UsedVars = [lists:usort(L) || L <- RawUsedVars], + case correct_var_use(UsedVars) of + true -> + PairAll = fun(L,Y) -> [{X,{var,0,Y}} || X <- L] end, + VarSubsts = + lists:flatten(lists:zipwith(PairAll,UsedVars,VarNames)), + VarSubstsDict = dict:from_list(VarSubsts), + {ok, update_vars(Call,VarSubstsDict,true)}; + false -> + error + end; + false -> + error + end. + +-spec no_duplicates(list()) -> boolean(). +no_duplicates(L) -> + length(lists:usort(L)) =:= length(L). + +-spec correct_var_use([[var_name() | 0]]) -> boolean(). +correct_var_use(UsedVars) -> + NoNonVarArgs = fun([0|_]) -> false; (_) -> true end, + lists:all(NoNonVarArgs, UsedVars) + andalso no_duplicates(lists:flatten(UsedVars)). + +-spec collect_vars(full_imm_type_ref(), abs_type(), [[var_name() | 0]]) -> + [[var_name() | 0]]. +collect_vars(FullADTRef, {paren_type,_,[Type]}, UsedVars) -> + collect_vars(FullADTRef, Type, UsedVars); +collect_vars(FullADTRef, {ann_type,_,[_Var,Type]}, UsedVars) -> + collect_vars(FullADTRef, Type, UsedVars); +collect_vars(_FullADTRef, {type,_,tuple,any}, UsedVars) -> + UsedVars; +collect_vars({_Mod,SameName,Arity} = FullADTRef, {type,_,SameName,ArgForms}, + UsedVars) -> + case length(ArgForms) =:= Arity of + true -> + VarArgs = [V || {var,_,V} <- ArgForms, V =/= '_'], + case length(VarArgs) =:= Arity of + true -> + AddToList = fun(X,L) -> [X | L] end, + lists:zipwith(AddToList, VarArgs, UsedVars); + false -> + [[0|L] || L <- UsedVars] + end; + false -> + multi_collect_vars(FullADTRef, ArgForms, UsedVars) + end; +collect_vars(FullADTRef, {type,_,_Name,ArgForms}, UsedVars) -> + multi_collect_vars(FullADTRef, ArgForms, UsedVars); +collect_vars({SameMod,SameName,_Arity} = FullADTRef, + {remote_type,_,[{atom,_,SameMod},{atom,_,SameName},ArgForms]}, + UsedVars) -> + collect_vars(FullADTRef, {type,0,SameName,ArgForms}, UsedVars); +collect_vars(FullADTRef, {remote_type,_,[_RemModForm,_NameForm,ArgForms]}, + UsedVars) -> + multi_collect_vars(FullADTRef, ArgForms, UsedVars); +collect_vars(_FullADTRef, _Call, UsedVars) -> + UsedVars. + +-spec multi_collect_vars(full_imm_type_ref(), [abs_type()], + [[var_name() | 0]]) -> [[var_name() | 0]]. +multi_collect_vars({_Mod,_Name,Arity} = FullADTRef, Forms, UsedVars) -> + NoUsedVars = lists:duplicate(Arity, []), + MoreUsedVars = [collect_vars(FullADTRef,T,NoUsedVars) || T <- Forms], + CombineVars = fun(L1,L2) -> lists:zipwith(fun erlang:'++'/2, L1, L2) end, + lists:foldl(CombineVars, UsedVars, MoreUsedVars). + +-ifdef(NO_MODULES_IN_OPAQUES). +-type var_substs_dict() :: dict(). +-else. +-type var_substs_dict() :: dict:dict(var_name(),abs_type()). +-endif. +-spec update_vars(abs_type(), var_substs_dict(), boolean()) -> abs_type(). +update_vars({paren_type,Line,[Type]}, VarSubstsDict, UnboundToAny) -> + {paren_type, Line, [update_vars(Type,VarSubstsDict,UnboundToAny)]}; +update_vars({ann_type,Line,[Var,Type]}, VarSubstsDict, UnboundToAny) -> + {ann_type, Line, [Var,update_vars(Type,VarSubstsDict,UnboundToAny)]}; +update_vars({var,Line,VarName} = Call, VarSubstsDict, UnboundToAny) -> + case dict:find(VarName, VarSubstsDict) of + {ok,SubstType} -> + SubstType; + error when UnboundToAny =:= false -> + Call; + error when UnboundToAny =:= true -> + {type,Line,any,[]} + end; +update_vars({remote_type,Line,[RemModForm,NameForm,ArgForms]}, VarSubstsDict, + UnboundToAny) -> + NewArgForms = [update_vars(A,VarSubstsDict,UnboundToAny) || A <- ArgForms], + {remote_type, Line, [RemModForm,NameForm,NewArgForms]}; +update_vars({type,_,tuple,any} = Call, _VarSubstsDict, _UnboundToAny) -> + Call; +update_vars({type,Line,Name,ArgForms}, VarSubstsDict, UnboundToAny) -> + {type, Line, Name, [update_vars(A,VarSubstsDict,UnboundToAny) + || A <- ArgForms]}; +update_vars(Call, _VarSubstsDict, _UnboundToAny) -> + Call. + + +%%------------------------------------------------------------------------------ +%% Match-related functions +%%------------------------------------------------------------------------------ + +-spec get_pattern(position(), [abs_type()]) -> pattern(). +get_pattern(TargetPos, FieldForms) -> + {0,RevPattern} = lists:foldl(fun add_field/2, {TargetPos,[]}, FieldForms), + list_to_tuple(lists:reverse(RevPattern)). + +-spec add_field(abs_type(), {non_neg_integer(),[pat_field()]}) -> + {non_neg_integer(),[pat_field(),...]}. +add_field(_Type, {1,Acc}) -> + {0, [1|Acc]}; +add_field({atom,_,Tag}, {Left,Acc}) -> + {erlang:max(0,Left-1), [Tag|Acc]}; +add_field(_Type, {Left,Acc}) -> + {erlang:max(0,Left-1), [0|Acc]}. + +%% @private +-spec match(pattern(), tuple()) -> term(). +match(Pattern, Term) when tuple_size(Pattern) =:= tuple_size(Term) -> + match(tuple_to_list(Pattern), tuple_to_list(Term), none, false); +match(_Pattern, _Term) -> + throw(no_match). + +-spec match([pat_field()], [term()], 'none' | {'ok',T}, boolean()) -> T. +match([], [], {ok,Target}, _TypeMode) -> + Target; +match([0|PatRest], [_|ToMatchRest], Acc, TypeMode) -> + match(PatRest, ToMatchRest, Acc, TypeMode); +match([1|PatRest], [Target|ToMatchRest], none, TypeMode) -> + match(PatRest, ToMatchRest, {ok,Target}, TypeMode); +match([Tag|PatRest], [X|ToMatchRest], Acc, TypeMode) when is_atom(Tag) -> + MatchesTag = + case TypeMode of + true -> can_be_tag(Tag, X); + false -> Tag =:= X + end, + case MatchesTag of + true -> match(PatRest, ToMatchRest, Acc, TypeMode); + false -> throw(no_match) + end. + +%% CAUTION: these must be sorted +-define(NON_ATOM_TYPES, + [arity,binary,bitstring,byte,char,float,'fun',function,integer,iodata, + iolist,list,maybe_improper_list,mfa,neg_integer,nil,no_return, + non_neg_integer,none,nonempty_improper_list,nonempty_list, + nonempty_maybe_improper_list,nonempty_string,number,pid,port, + pos_integer,range,record,reference,string,tuple]). +-define(NON_TUPLE_TYPES, + [arity,atom,binary,bitstring,bool,boolean,byte,char,float,'fun', + function,identifier,integer,iodata,iolist,list,maybe_improper_list, + neg_integer,nil,no_return,node,non_neg_integer,none, + nonempty_improper_list,nonempty_list,nonempty_maybe_improper_list, + nonempty_string,number,pid,port,pos_integer,range,reference,string, + timeout]). +-define(NO_HEAD_TYPES, + [arity,atom,binary,bitstring,bool,boolean,byte,char,float,'fun', + function,identifier,integer,mfa,module,neg_integer,nil,no_return,node, + non_neg_integer,none,number,pid,port,pos_integer,range,record, + reference,timeout,tuple]). + +-spec can_be_tag(atom(), abs_type()) -> boolean(). +can_be_tag(Tag, {ann_type,_,[_Var,Type]}) -> + can_be_tag(Tag, Type); +can_be_tag(Tag, {paren_type,_,[Type]}) -> + can_be_tag(Tag, Type); +can_be_tag(Tag, {atom,_,Atom}) -> + Tag =:= Atom; +can_be_tag(_Tag, {integer,_,_Int}) -> + false; +can_be_tag(_Tag, {op,_,_Op,_Arg}) -> + false; +can_be_tag(_Tag, {op,_,_Op,_Arg1,_Arg2}) -> + false; +can_be_tag(Tag, {type,_,BName,[]}) when BName =:= bool; BName =:= boolean -> + is_boolean(Tag); +can_be_tag(Tag, {type,_,timeout,[]}) -> + Tag =:= infinity; +can_be_tag(Tag, {type,_,union,Choices}) -> + lists:any(fun(C) -> can_be_tag(Tag,C) end, Choices); +can_be_tag(_Tag, {type,_,Name,_Args}) -> + not ordsets:is_element(Name, ?NON_ATOM_TYPES); +can_be_tag(_Tag, _Type) -> + true. + +-spec cant_match(pattern(), abs_type()) -> boolean(). +cant_match(Pattern, {ann_type,_,[_Var,Type]}) -> + cant_match(Pattern, Type); +cant_match(Pattern, {paren_type,_,[Type]}) -> + cant_match(Pattern, Type); +cant_match(_Pattern, {atom,_,_Atom}) -> + true; +cant_match(_Pattern, {integer,_,_Int}) -> + true; +cant_match(_Pattern, {op,_,_Op,_Arg}) -> + true; +cant_match(_Pattern, {op,_,_Op,_Arg1,_Arg2}) -> + true; +cant_match(Pattern, {type,_,mfa,[]}) -> + cant_match(Pattern, {type,0,tuple,[{type,0,atom,[]},{type,0,atom,[]}, + {type,0,arity,[]}]}); +cant_match(Pattern, {type,_,union,Choices}) -> + lists:all(fun(C) -> cant_match(Pattern,C) end, Choices); +cant_match(_Pattern, {type,_,tuple,any}) -> + false; +cant_match(Pattern, {type,_,tuple,Fields}) -> + tuple_size(Pattern) =/= length(Fields) orelse + try match(tuple_to_list(Pattern), Fields, none, true) of + _ -> false + catch + throw:no_match -> true + end; +cant_match(_Pattern, {type,_,Name,_Args}) -> + ordsets:is_element(Name, ?NON_TUPLE_TYPES); +cant_match(_Pattern, _Type) -> + false. + +-spec cant_have_head(abs_type()) -> boolean(). +cant_have_head({ann_type,_,[_Var,Type]}) -> + cant_have_head(Type); +cant_have_head({paren_type,_,[Type]}) -> + cant_have_head(Type); +cant_have_head({atom,_,_Atom}) -> + true; +cant_have_head({integer,_,_Int}) -> + true; +cant_have_head({op,_,_Op,_Arg}) -> + true; +cant_have_head({op,_,_Op,_Arg1,_Arg2}) -> + true; +cant_have_head({type,_,union,Choices}) -> + lists:all(fun cant_have_head/1, Choices); +cant_have_head({type,_,Name,_Args}) -> + ordsets:is_element(Name, ?NO_HEAD_TYPES); +cant_have_head(_Type) -> + false. + +%% Only covers atoms, integers and tuples, i.e. those that can be specified +%% through singleton types. +-spec term_to_singleton_type(atom() | integer() + | loose_tuple(atom() | integer())) -> abs_type(). +term_to_singleton_type(Atom) when is_atom(Atom) -> + {atom,0,Atom}; +term_to_singleton_type(Int) when is_integer(Int), Int >= 0 -> + {integer,0,Int}; +term_to_singleton_type(Int) when is_integer(Int), Int < 0 -> + {op,0,'-',{integer,0,-Int}}; +term_to_singleton_type(Tuple) when is_tuple(Tuple) -> + Fields = tuple_to_list(Tuple), + {type,0,tuple,[term_to_singleton_type(F) || F <- Fields]}. + + +%%------------------------------------------------------------------------------ +%% Instance testing functions +%%------------------------------------------------------------------------------ + +%% CAUTION: this must be sorted +-define(EQUIV_TYPES, + [{arity, {type,0,range,[{integer,0,0},{integer,0,255}]}}, + {bool, {type,0,boolean,[]}}, + {byte, {type,0,range,[{integer,0,0},{integer,0,255}]}}, + {char, {type,0,range,[{integer,0,0},{integer,0,16#10ffff}]}}, + {function, {type,0,'fun',[]}}, + {identifier, {type,0,union,[{type,0,pid,[]},{type,0,port,[]}, + {type,0,reference,[]}]}}, + {iodata, {type,0,union,[{type,0,binary,[]},{type,0,iolist,[]}]}}, + {iolist, {type,0,maybe_improper_list, + [{type,0,union,[{type,0,byte,[]},{type,0,binary,[]}, + {type,0,iolist,[]}]}, + {type,0,binary,[]}]}}, + {list, {type,0,list,[{type,0,any,[]}]}}, + {maybe_improper_list, {type,0,maybe_improper_list,[{type,0,any,[]}, + {type,0,any,[]}]}}, + {mfa, {type,0,tuple,[{type,0,atom,[]},{type,0,atom,[]}, + {type,0,arity,[]}]}}, + {node, {type,0,atom,[]}}, + {nonempty_list, {type,0,nonempty_list,[{type,0,any,[]}]}}, + {nonempty_maybe_improper_list, {type,0,nonempty_maybe_improper_list, + [{type,0,any,[]},{type,0,any,[]}]}}, + {nonempty_string, {type,0,nonempty_list,[{type,0,char,[]}]}}, + {string, {type,0,list,[{type,0,char,[]}]}}, + {term, {type,0,any,[]}}, + {timeout, {type,0,union,[{atom,0,infinity}, + {type,0,non_neg_integer,[]}]}}]). + +%% @private +%% TODO: Most of these functions accept an extended form of abs_type(), namely +%% the addition of a custom wrapper: {'from_mod',mod_name(),...} +-spec is_instance(term(), mod_name(), abs_type()) -> boolean(). +is_instance(X, Mod, TypeForm) -> + is_instance(X, Mod, TypeForm, []). + +-spec is_instance(term(), mod_name(), abs_type(), imm_stack()) -> boolean(). +is_instance(X, _Mod, {from_mod,OrigMod,Type}, Stack) -> + is_instance(X, OrigMod, Type, Stack); +is_instance(_X, _Mod, {var,_,'_'}, _Stack) -> + true; +is_instance(_X, _Mod, {var,_,Name}, _Stack) -> + %% All unconstrained spec vars have been replaced by 'any()' and we always + %% replace the variables on the RHS of types before recursing into them. + %% Provided that '-type' declarations contain no unbound variables, we + %% don't expect to find any non-'_' variables while recursing. + throw({'$typeserver',{unbound_var_in_type_declaration,Name}}); +is_instance(X, Mod, {ann_type,_,[_Var,Type]}, Stack) -> + is_instance(X, Mod, Type, Stack); +is_instance(X, Mod, {paren_type,_,[Type]}, Stack) -> + is_instance(X, Mod, Type, Stack); +is_instance(X, Mod, {remote_type,_,[{atom,_,RemMod},{atom,_,Name},ArgForms]}, + Stack) -> + is_custom_instance(X, Mod, RemMod, Name, ArgForms, true, Stack); +is_instance(SameAtom, _Mod, {atom,_,SameAtom}, _Stack) -> + true; +is_instance(SameInt, _Mod, {integer,_,SameInt}, _Stack) -> + true; +is_instance(X, _Mod, {op,_,_Op,_Arg} = Expr, _Stack) -> + is_int_const(X, Expr); +is_instance(X, _Mod, {op,_,_Op,_Arg1,_Arg2} = Expr, _Stack) -> + is_int_const(X, Expr); +is_instance(_X, _Mod, {type,_,any,[]}, _Stack) -> + true; +is_instance(X, _Mod, {type,_,atom,[]}, _Stack) -> + is_atom(X); +is_instance(X, _Mod, {type,_,binary,[]}, _Stack) -> + is_binary(X); +is_instance(X, _Mod, {type,_,binary,[BaseExpr,UnitExpr]}, _Stack) -> + %% <<_:X,_:_*Y>> means "bitstrings of X + k*Y bits, k >= 0" + case eval_int(BaseExpr) of + {ok,Base} when Base >= 0 -> + case eval_int(UnitExpr) of + {ok,Unit} when Unit >= 0 -> + case is_bitstring(X) of + true -> + BitSizeX = bit_size(X), + case Unit =:= 0 of + true -> + BitSizeX =:= Base; + false -> + BitSizeX >= Base + andalso + (BitSizeX - Base) rem Unit =:= 0 + end; + false -> false + end; + _ -> + abs_expr_error(invalid_unit, UnitExpr) + end; + _ -> + abs_expr_error(invalid_base, BaseExpr) + end; +is_instance(X, _Mod, {type,_,bitstring,[]}, _Stack) -> + is_bitstring(X); +is_instance(X, _Mod, {type,_,boolean,[]}, _Stack) -> + is_boolean(X); +is_instance(X, _Mod, {type,_,float,[]}, _Stack) -> + is_float(X); +is_instance(X, _Mod, {type,_,'fun',[]}, _Stack) -> + is_function(X); +%% TODO: how to check range type? random inputs? special case for 0-arity? +is_instance(X, _Mod, {type,_,'fun',[{type,_,any,[]},_Range]}, _Stack) -> + is_function(X); +is_instance(X, _Mod, {type,_,'fun',[{type,_,product,Domain},_Range]}, _Stack) -> + is_function(X, length(Domain)); +is_instance(X, _Mod, {type,_,integer,[]}, _Stack) -> + is_integer(X); +is_instance(X, Mod, {type,_,list,[Type]}, _Stack) -> + list_test(X, Mod, Type, dummy, true, true, false); +is_instance(X, Mod, {type,_,maybe_improper_list,[Cont,Term]}, _Stack) -> + list_test(X, Mod, Cont, Term, true, true, true); +is_instance(X, _Mod, {type,_,module,[]}, _Stack) -> + is_atom(X) orelse + is_tuple(X) andalso X =/= {} andalso is_atom(element(1,X)); +is_instance([], _Mod, {type,_,nil,[]}, _Stack) -> + true; +is_instance(X, _Mod, {type,_,neg_integer,[]}, _Stack) -> + is_integer(X) andalso X < 0; +is_instance(X, _Mod, {type,_,non_neg_integer,[]}, _Stack) -> + is_integer(X) andalso X >= 0; +is_instance(X, Mod, {type,_,nonempty_list,[Type]}, _Stack) -> + list_test(X, Mod, Type, dummy, false, true, false); +is_instance(X, Mod, {type,_,nonempty_improper_list,[Cont,Term]}, _Stack) -> + list_test(X, Mod, Cont, Term, false, false, true); +is_instance(X, Mod, {type,_,nonempty_maybe_improper_list,[Cont,Term]}, + _Stack) -> + list_test(X, Mod, Cont, Term, false, true, true); +is_instance(X, _Mod, {type,_,number,[]}, _Stack) -> + is_number(X); +is_instance(X, _Mod, {type,_,pid,[]}, _Stack) -> + is_pid(X); +is_instance(X, _Mod, {type,_,port,[]}, _Stack) -> + is_port(X); +is_instance(X, _Mod, {type,_,pos_integer,[]}, _Stack) -> + is_integer(X) andalso X > 0; +is_instance(_X, _Mod, {type,_,product,_Elements}, _Stack) -> + throw({'$typeserver',{internal,product_in_is_instance}}); +is_instance(X, _Mod, {type,_,range,[LowExpr,HighExpr]}, _Stack) -> + case {eval_int(LowExpr),eval_int(HighExpr)} of + {{ok,Low},{ok,High}} when Low =< High -> + X >= Low andalso X =< High; + _ -> + abs_expr_error(invalid_range, LowExpr, HighExpr) + end; +is_instance(X, Mod, {type,_,record,[{atom,_,Name} = NameForm | RawSubsts]}, + Stack) -> + Substs = [{N,T} || {type,_,field_type,[{atom,_,N},T]} <- RawSubsts], + SubstsDict = dict:from_list(Substs), + case get_type_repr(Mod, {record,Name,0}, false) of + {ok,{abs_record,OrigFields}} -> + Fields = [case dict:find(FieldName, SubstsDict) of + {ok,NewFieldType} -> NewFieldType; + error -> OrigFieldType + end + || {FieldName,OrigFieldType} <- OrigFields], + is_instance(X, Mod, {type,0,tuple,[NameForm|Fields]}, Stack); + {error,Reason} -> + throw({'$typeserver',Reason}) + end; +is_instance(X, _Mod, {type,_,reference,[]}, _Stack) -> + is_reference(X); +is_instance(X, _Mod, {type,_,tuple,any}, _Stack) -> + is_tuple(X); +is_instance(X, Mod, {type,_,tuple,Fields}, _Stack) -> + is_tuple(X) andalso tuple_test(tuple_to_list(X), Mod, Fields); +is_instance(X, Mod, {type,_,union,Choices}, Stack) -> + IsInstance = fun(Choice) -> is_instance(X,Mod,Choice,Stack) end, + lists:any(IsInstance, Choices); +is_instance(X, Mod, {type,_,Name,[]}, Stack) -> + case orddict:find(Name, ?EQUIV_TYPES) of + {ok,EquivType} -> + is_instance(X, Mod, EquivType, Stack); + error -> + is_maybe_hard_adt(X, Mod, Name, [], Stack) + end; +is_instance(X, Mod, {type,_,Name,ArgForms}, Stack) -> + is_maybe_hard_adt(X, Mod, Name, ArgForms, Stack); +is_instance(_X, _Mod, _Type, _Stack) -> + false. + +-spec is_int_const(term(), abs_expr()) -> boolean(). +is_int_const(X, Expr) -> + case eval_int(Expr) of + {ok,Int} -> + X =:= Int; + error -> + abs_expr_error(invalid_int_const, Expr) + end. + +%% TODO: We implicitly add the '| []' at the termination of maybe_improper_list. +%% TODO: We ignore a '[]' termination in improper_list. +-spec list_test(term(), mod_name(), abs_type(), 'dummy' | abs_type(), boolean(), + boolean(), boolean()) -> boolean(). +list_test(X, Mod, Content, Termination, CanEmpty, CanProper, CanImproper) -> + is_list(X) andalso + list_rec(X, Mod, Content, Termination, CanEmpty, CanProper, CanImproper). + +-spec list_rec(term(), mod_name(), abs_type(), 'dummy' | abs_type(), boolean(), + boolean(), boolean()) -> boolean(). +list_rec([], _Mod, _Content, _Termination, CanEmpty, CanProper, _CanImproper) -> + CanEmpty andalso CanProper; +list_rec([X | Rest], Mod, Content, Termination, _CanEmpty, CanProper, + CanImproper) -> + is_instance(X, Mod, Content, []) andalso + list_rec(Rest, Mod, Content, Termination, true, CanProper, CanImproper); +list_rec(X, Mod, _Content, Termination, _CanEmpty, _CanProper, CanImproper) -> + CanImproper andalso is_instance(X, Mod, Termination, []). + +-spec tuple_test([term()], mod_name(), [abs_type()]) -> boolean(). +tuple_test([], _Mod, []) -> + true; +tuple_test([X | XTail], Mod, [T | TTail]) -> + is_instance(X, Mod, T, []) andalso tuple_test(XTail, Mod, TTail); +tuple_test(_, _Mod, _) -> + false. + +-spec is_maybe_hard_adt(term(), mod_name(), type_name(), [abs_type()], + imm_stack()) -> boolean(). +is_maybe_hard_adt(X, Mod, Name, ArgForms, Stack) -> + case orddict:find({Name,length(ArgForms)}, ?HARD_ADTS) of + {ok,ADTMod} -> + is_custom_instance(X, Mod, ADTMod, Name, ArgForms, true, Stack); + error -> + is_custom_instance(X, Mod, Mod, Name, ArgForms, false, Stack) + end. + +-spec is_custom_instance(term(), mod_name(), mod_name(), type_name(), + [abs_type()], boolean(), imm_stack()) -> boolean(). +is_custom_instance(X, Mod, RemMod, Name, RawArgForms, IsRemote, Stack) -> + ArgForms = case Mod =/= RemMod of + true -> [{from_mod,Mod,A} || A <- RawArgForms]; + false -> RawArgForms + end, + Arity = length(ArgForms), + FullTypeRef = {RemMod,Name,Arity}, + case lists:member(FullTypeRef, Stack) of + true -> + throw({'$typeserver',{self_reference,FullTypeRef}}); + false -> + TypeRef = {type,Name,Arity}, + AbsType = get_abs_type(RemMod, TypeRef, ArgForms, IsRemote), + is_instance(X, RemMod, AbsType, [FullTypeRef|Stack]) + end. + +-spec get_abs_type(mod_name(), type_ref(), [abs_type()], boolean()) -> + abs_type(). +get_abs_type(RemMod, TypeRef, ArgForms, IsRemote) -> + case get_type_repr(RemMod, TypeRef, IsRemote) of + {ok,TypeRepr} -> + {FinalAbsType,SymbInfo,VarNames} = + case TypeRepr of + {cached,_FinType,FAT,SI} -> {FAT,SI,[]}; + {abs_type,FAT,VN,SI} -> {FAT,SI,VN} + end, + AbsType = + case SymbInfo of + not_symb -> FinalAbsType; + {orig_abs,OrigAbsType} -> OrigAbsType + end, + VarSubstsDict = dict:from_list(lists:zip(VarNames,ArgForms)), + update_vars(AbsType, VarSubstsDict, false); + {error,Reason} -> + throw({'$typeserver',Reason}) + end. + +-spec abs_expr_error(atom(), abs_expr()) -> no_return(). +abs_expr_error(ImmReason, Expr) -> + {error,Reason} = expr_error(ImmReason, Expr), + throw({'$typeserver',Reason}). + +-spec abs_expr_error(atom(), abs_expr(), abs_expr()) -> no_return(). +abs_expr_error(ImmReason, Expr1, Expr2) -> + {error,Reason} = expr_error(ImmReason, Expr1, Expr2), + throw({'$typeserver',Reason}). + + +%%------------------------------------------------------------------------------ +%% Type translation functions +%%------------------------------------------------------------------------------ + +-spec convert(mod_name(), abs_type(), state()) -> + rich_result2(fin_type(),state()). +convert(Mod, TypeForm, State) -> + case convert(Mod, TypeForm, State, [], dict:new()) of + {ok,{simple,Type},NewState} -> + {ok, Type, NewState}; + {ok,{rec,_RecFun,_RecArgs},_NewState} -> + {error, {internal,rec_returned_to_toplevel}}; + {error,_Reason} = Error -> + Error + end. + +-spec convert(mod_name(), abs_type(), state(), stack(), var_dict()) -> + rich_result2(ret_type(),state()). +convert(Mod, {paren_type,_,[Type]}, State, Stack, VarDict) -> + convert(Mod, Type, State, Stack, VarDict); +convert(Mod, {ann_type,_,[_Var,Type]}, State, Stack, VarDict) -> + convert(Mod, Type, State, Stack, VarDict); +convert(_Mod, {var,_,'_'}, State, _Stack, _VarDict) -> + {ok, {simple,proper_types:any()}, State}; +convert(_Mod, {var,_,VarName}, State, _Stack, VarDict) -> + case dict:find(VarName, VarDict) of + %% TODO: do we need to check if we are at toplevel of a recursive? + {ok,RetType} -> {ok, RetType, State}; + error -> {error, {unbound_var,VarName}} + end; +convert(Mod, {remote_type,_,[{atom,_,RemMod},{atom,_,Name},ArgForms]}, State, + Stack, VarDict) -> + case prepare_for_remote(RemMod, Name, length(ArgForms), State) of + {ok,NewState} -> + convert_custom(Mod,RemMod,Name,ArgForms,NewState,Stack,VarDict); + {error,_Reason} = Error -> + Error + end; +convert(_Mod, {atom,_,Atom}, State, _Stack, _VarDict) -> + {ok, {simple,proper_types:exactly(Atom)}, State}; +convert(_Mod, {integer,_,_Int} = IntExpr, State, _Stack, _VarDict) -> + convert_integer(IntExpr, State); +convert(_Mod, {op,_,_Op,_Arg} = OpExpr, State, _Stack, _VarDict) -> + convert_integer(OpExpr, State); +convert(_Mod, {op,_,_Op,_Arg1,_Arg2} = OpExpr, State, _Stack, _VarDict) -> + convert_integer(OpExpr, State); +convert(_Mod, {type,_,binary,[BaseExpr,UnitExpr]}, State, _Stack, _VarDict) -> + %% <<_:X,_:_*Y>> means "bitstrings of X + k*Y bits, k >= 0" + case eval_int(BaseExpr) of + {ok,0} -> + case eval_int(UnitExpr) of + {ok,0} -> {ok, {simple,proper_types:exactly(<<>>)}, State}; + {ok,1} -> {ok, {simple,proper_types:bitstring()}, State}; + {ok,8} -> {ok, {simple,proper_types:binary()}, State}; + {ok,N} when N > 0 -> + Gen = ?LET(L, proper_types:list(proper_types:bitstring(N)), + concat_bitstrings(L)), + {ok, {simple,Gen}, State}; + _ -> expr_error(invalid_unit, UnitExpr) + end; + {ok,Base} when Base > 0 -> + Head = proper_types:bitstring(Base), + case eval_int(UnitExpr) of + {ok,0} -> {ok, {simple,Head}, State}; + {ok,1} -> + Tail = proper_types:bitstring(), + {ok, {simple,concat_binary_gens(Head, Tail)}, State}; + {ok,8} -> + Tail = proper_types:binary(), + {ok, {simple,concat_binary_gens(Head, Tail)}, State}; + {ok,N} when N > 0 -> + Tail = + ?LET(L, proper_types:list(proper_types:bitstring(N)), + concat_bitstrings(L)), + {ok, {simple,concat_binary_gens(Head, Tail)}, State}; + _ -> expr_error(invalid_unit, UnitExpr) + end; + _ -> + expr_error(invalid_base, BaseExpr) + end; +convert(_Mod, {type,_,range,[LowExpr,HighExpr]}, State, _Stack, _VarDict) -> + case {eval_int(LowExpr),eval_int(HighExpr)} of + {{ok,Low},{ok,High}} when Low =< High -> + {ok, {simple,proper_types:integer(Low,High)}, State}; + _ -> + expr_error(invalid_range, LowExpr, HighExpr) + end; +convert(_Mod, {type,_,nil,[]}, State, _Stack, _VarDict) -> + {ok, {simple,proper_types:exactly([])}, State}; +convert(Mod, {type,_,list,[ElemForm]}, State, Stack, VarDict) -> + convert_list(Mod, false, ElemForm, State, Stack, VarDict); +convert(Mod, {type,_,nonempty_list,[ElemForm]}, State, Stack, VarDict) -> + convert_list(Mod, true, ElemForm, State, Stack, VarDict); +convert(_Mod, {type,_,nonempty_list,[]}, State, _Stack, _VarDict) -> + {ok, {simple,proper_types:non_empty(proper_types:list())}, State}; +convert(_Mod, {type,_,nonempty_string,[]}, State, _Stack, _VarDict) -> + {ok, {simple,proper_types:non_empty(proper_types:string())}, State}; +convert(_Mod, {type,_,tuple,any}, State, _Stack, _VarDict) -> + {ok, {simple,proper_types:tuple()}, State}; +convert(Mod, {type,_,tuple,ElemForms}, State, Stack, VarDict) -> + convert_tuple(Mod, ElemForms, false, State, Stack, VarDict); +convert(Mod, {type,_,'$fixed_list',ElemForms}, State, Stack, VarDict) -> + convert_tuple(Mod, ElemForms, true, State, Stack, VarDict); +convert(Mod, {type,_,record,[{atom,_,Name}|FieldForms]}, State, Stack, + VarDict) -> + convert_record(Mod, Name, FieldForms, State, Stack, VarDict); +convert(Mod, {type,_,union,ChoiceForms}, State, Stack, VarDict) -> + convert_union(Mod, ChoiceForms, State, Stack, VarDict); +convert(Mod, {type,_,'fun',[{type,_,product,Domain},Range]}, State, Stack, + VarDict) -> + convert_fun(Mod, length(Domain), Range, State, Stack, VarDict); +%% TODO: These types should be replaced with accurate types. +%% TODO: Add support for nonempty_improper_list/2. +convert(Mod, {type,_,maybe_improper_list,[]}, State, Stack, VarDict) -> + convert(Mod, {type,0,list,[]}, State, Stack, VarDict); +convert(Mod, {type,_,maybe_improper_list,[Cont,_Ter]}, State, Stack, VarDict) -> + convert(Mod, {type,0,list,[Cont]}, State, Stack, VarDict); +convert(Mod, {type,_,nonempty_maybe_improper_list,[]}, State, Stack, VarDict) -> + convert(Mod, {type,0,nonempty_list,[]}, State, Stack, VarDict); +convert(Mod, {type,_,nonempty_maybe_improper_list,[Cont,_Term]}, State, Stack, + VarDict) -> + convert(Mod, {type,0,nonempty_list,[Cont]}, State, Stack, VarDict); +convert(Mod, {type,_,iodata,[]}, State, Stack, VarDict) -> + RealType = {type,0,union,[{type,0,binary,[]},{type,0,iolist,[]}]}, + convert(Mod, RealType, State, Stack, VarDict); +convert(Mod, {type,_,Name,[]}, State, Stack, VarDict) -> + case ordsets:is_element(Name, ?STD_TYPES_0) of + true -> + {ok, {simple,proper_types:Name()}, State}; + false -> + convert_maybe_hard_adt(Mod, Name, [], State, Stack, VarDict) + end; +convert(Mod, {type,_,Name,ArgForms}, State, Stack, VarDict) -> + convert_maybe_hard_adt(Mod, Name, ArgForms, State, Stack, VarDict); +convert(_Mod, TypeForm, _State, _Stack, _VarDict) -> + {error, {unsupported_type,TypeForm}}. + +-spec concat_bitstrings([bitstring()]) -> bitstring(). +concat_bitstrings(BitStrings) -> + concat_bitstrings_tr(BitStrings, <<>>). + +-spec concat_bitstrings_tr([bitstring()], bitstring()) -> bitstring(). +concat_bitstrings_tr([], Acc) -> + Acc; +concat_bitstrings_tr([BitString | Rest], Acc) -> + concat_bitstrings_tr(Rest, <<Acc/bits,BitString/bits>>). + +-spec concat_binary_gens(fin_type(), fin_type()) -> fin_type(). +concat_binary_gens(HeadType, TailType) -> + ?LET({H,T}, {HeadType,TailType}, <<H/bits,T/bits>>). + +-spec convert_fun(mod_name(), arity(), abs_type(), state(), stack(), + var_dict()) -> rich_result2(ret_type(),state()). +convert_fun(Mod, Arity, Range, State, Stack, VarDict) -> + case convert(Mod, Range, State, ['fun' | Stack], VarDict) of + {ok,{simple,RangeType},NewState} -> + {ok, {simple,proper_types:function(Arity,RangeType)}, NewState}; + {ok,{rec,RecFun,RecArgs},NewState} -> + case at_toplevel(RecArgs, Stack) of + true -> base_case_error(Stack); + false -> convert_rec_fun(Arity, RecFun, RecArgs, NewState) + end; + {error,_Reason} = Error -> + Error + end. + +-spec convert_rec_fun(arity(), rec_fun(), rec_args(), state()) -> + {'ok',ret_type(),state()}. +convert_rec_fun(Arity, RecFun, RecArgs, State) -> + %% We bind the generated value by size. + NewRecFun = + fun(GenFuns,Size) -> + proper_types:function(Arity, RecFun(GenFuns,Size)) + end, + NewRecArgs = clean_rec_args(RecArgs), + {ok, {rec,NewRecFun,NewRecArgs}, State}. + +-spec convert_list(mod_name(), boolean(), abs_type(), state(), stack(), + var_dict()) -> rich_result2(ret_type(),state()). +convert_list(Mod, NonEmpty, ElemForm, State, Stack, VarDict) -> + case convert(Mod, ElemForm, State, [list | Stack], VarDict) of + {ok,{simple,ElemType},NewState} -> + InnerType = proper_types:list(ElemType), + FinType = case NonEmpty of + true -> proper_types:non_empty(InnerType); + false -> InnerType + end, + {ok, {simple,FinType}, NewState}; + {ok,{rec,RecFun,RecArgs},NewState} -> + case {at_toplevel(RecArgs,Stack), NonEmpty} of + {true,true} -> + base_case_error(Stack); + {true,false} -> + NewRecFun = + fun(GenFuns,Size) -> + ElemGen = fun(S) -> ?LAZY(RecFun(GenFuns,S)) end, + proper_types:distlist(Size, ElemGen, false) + end, + NewRecArgs = clean_rec_args(RecArgs), + {ok, {rec,NewRecFun,NewRecArgs}, NewState}; + {false,_} -> + {NewRecFun,NewRecArgs} = + convert_rec_list(RecFun, RecArgs, NonEmpty), + {ok, {rec,NewRecFun,NewRecArgs}, NewState} + end; + {error,_Reason} = Error -> + Error + end. + +-spec convert_rec_list(rec_fun(), rec_args(), boolean()) -> + {rec_fun(),rec_args()}. +convert_rec_list(RecFun, [{true,FullTypeRef}] = RecArgs, NonEmpty) -> + {NewRecFun,_NormalRecArgs} = + convert_normal_rec_list(RecFun, RecArgs, NonEmpty), + AltRecFun = + fun([InstListGen],Size) -> + InstTypesList = + proper_types:get_prop(internal_types, InstListGen(Size)), + proper_types:fixed_list([RecFun([fun(_Size) -> I end],0) + || I <- InstTypesList]) + end, + NewRecArgs = [{{list,NonEmpty,AltRecFun},FullTypeRef}], + {NewRecFun, NewRecArgs}; +convert_rec_list(RecFun, RecArgs, NonEmpty) -> + convert_normal_rec_list(RecFun, RecArgs, NonEmpty). + +-spec convert_normal_rec_list(rec_fun(), rec_args(), boolean()) -> + {rec_fun(),rec_args()}. +convert_normal_rec_list(RecFun, RecArgs, NonEmpty) -> + NewRecFun = fun(GenFuns,Size) -> + ElemGen = fun(S) -> RecFun(GenFuns, S) end, + proper_types:distlist(Size, ElemGen, NonEmpty) + end, + NewRecArgs = clean_rec_args(RecArgs), + {NewRecFun, NewRecArgs}. + +-spec convert_tuple(mod_name(), [abs_type()], boolean(), state(), stack(), + var_dict()) -> rich_result2(ret_type(),state()). +convert_tuple(Mod, ElemForms, ToList, State, Stack, VarDict) -> + case process_list(Mod, ElemForms, State, [tuple | Stack], VarDict) of + {ok,RetTypes,NewState} -> + case combine_ret_types(RetTypes, {tuple,ToList}) of + {simple,_FinType} = RetType -> + {ok, RetType, NewState}; + {rec,_RecFun,RecArgs} = RetType -> + case at_toplevel(RecArgs, Stack) of + true -> base_case_error(Stack); + false -> {ok, RetType, NewState} + end + end; + {error,_Reason} = Error -> + Error + end. + +-spec convert_union(mod_name(), [abs_type()], state(), stack(), var_dict()) -> + rich_result2(ret_type(),state()). +convert_union(Mod, ChoiceForms, State, Stack, VarDict) -> + case process_list(Mod, ChoiceForms, State, [union | Stack], VarDict) of + {ok,RawChoices,NewState} -> + ProcessChoice = fun(T,A) -> process_choice(T,A,Stack) end, + {RevSelfRecs,RevNonSelfRecs,RevNonRecs} = + lists:foldl(ProcessChoice, {[],[],[]}, RawChoices), + case {lists:reverse(RevSelfRecs),lists:reverse(RevNonSelfRecs), + lists:reverse(RevNonRecs)} of + {_SelfRecs,[],[]} -> + base_case_error(Stack); + {[],NonSelfRecs,NonRecs} -> + {ok, combine_ret_types(NonRecs ++ NonSelfRecs, union), + NewState}; + {SelfRecs,NonSelfRecs,NonRecs} -> + {BCaseRecFun,BCaseRecArgs} = + case combine_ret_types(NonRecs ++ NonSelfRecs, union) of + {simple,BCaseType} -> + {fun([],_Size) -> BCaseType end,[]}; + {rec,BCRecFun,BCRecArgs} -> + {BCRecFun,BCRecArgs} + end, + NumBCaseGens = length(BCaseRecArgs), + [ParentRef | _Upper] = Stack, + FallbackRecFun = fun([SelfGen],_Size) -> SelfGen(0) end, + FallbackRecArgs = [{false,ParentRef}], + FallbackRetType = {rec,FallbackRecFun,FallbackRecArgs}, + {rec,RCaseRecFun,RCaseRecArgs} = + combine_ret_types([FallbackRetType] ++ SelfRecs + ++ NonSelfRecs, wunion), + NewRecFun = + fun(AllGens,Size) -> + {BCaseGens,RCaseGens} = + lists:split(NumBCaseGens, AllGens), + case Size of + 0 -> BCaseRecFun(BCaseGens,0); + _ -> RCaseRecFun(RCaseGens,Size) + end + end, + NewRecArgs = BCaseRecArgs ++ RCaseRecArgs, + {ok, {rec,NewRecFun,NewRecArgs}, NewState} + end; + {error,_Reason} = Error -> + Error + end. + +-spec process_choice(ret_type(), {[ret_type()],[ret_type()],[ret_type()]}, + stack()) -> {[ret_type()],[ret_type()],[ret_type()]}. +process_choice({simple,_} = RetType, {SelfRecs,NonSelfRecs,NonRecs}, _Stack) -> + {SelfRecs, NonSelfRecs, [RetType | NonRecs]}; +process_choice({rec,RecFun,RecArgs}, {SelfRecs,NonSelfRecs,NonRecs}, Stack) -> + case at_toplevel(RecArgs, Stack) of + true -> + case partition_by_toplevel(RecArgs, Stack, true) of + {[],[],_,_} -> + NewRecArgs = clean_rec_args(RecArgs), + {[{rec,RecFun,NewRecArgs} | SelfRecs], NonSelfRecs, + NonRecs}; + {SelfRecArgs,SelfPos,OtherRecArgs,_OtherPos} -> + NumInstances = length(SelfRecArgs), + IsListInst = fun({true,_FTRef}) -> false + ; ({{list,_NE,_AltRecFun},_FTRef}) -> true + end, + NewRecFun = + case proper_arith:filter(IsListInst,SelfRecArgs) of + {[],[]} -> + no_list_inst_rec_fun(RecFun,NumInstances, + SelfPos); + {[{{list,NonEmpty,AltRecFun},_}],[ListInstPos]} -> + list_inst_rec_fun(AltRecFun,NumInstances, + SelfPos,NonEmpty,ListInstPos) + end, + [{_B,SelfRef} | _] = SelfRecArgs, + NewRecArgs = + [{false,SelfRef} | clean_rec_args(OtherRecArgs)], + {[{rec,NewRecFun,NewRecArgs} | SelfRecs], NonSelfRecs, + NonRecs} + end; + false -> + NewRecArgs = clean_rec_args(RecArgs), + {SelfRecs, [{rec,RecFun,NewRecArgs} | NonSelfRecs], NonRecs} + end. + +-spec no_list_inst_rec_fun(rec_fun(), pos_integer(), [position()]) -> rec_fun(). +no_list_inst_rec_fun(RecFun, NumInstances, SelfPos) -> + fun([SelfGen|OtherGens], Size) -> + ?LETSHRINK( + Instances, + %% Size distribution will be a little off if both normal and + %% instance-accepting generators are present. + lists:duplicate(NumInstances, SelfGen(Size div NumInstances)), + begin + InstGens = [fun(_Size) -> proper_types:exactly(I) end + || I <- Instances], + AllGens = proper_arith:insert(InstGens, SelfPos, OtherGens), + RecFun(AllGens, Size) + end) + end. + +-spec list_inst_rec_fun(rec_fun(), pos_integer(), [position()], boolean(), + position()) -> rec_fun(). +list_inst_rec_fun(AltRecFun, NumInstances, SelfPos, NonEmpty, ListInstPos) -> + fun([SelfGen|OtherGens], Size) -> + ?LETSHRINK( + AllInsts, + lists:duplicate(NumInstances - 1, SelfGen(Size div NumInstances)) + ++ proper_types:distlist(Size div NumInstances, SelfGen, NonEmpty), + begin + {Instances,InstList} = lists:split(NumInstances - 1, AllInsts), + InstGens = [fun(_Size) -> proper_types:exactly(I) end + || I <- Instances], + InstTypesList = [proper_types:exactly(I) || I <- InstList], + InstListGen = + fun(_Size) -> proper_types:fixed_list(InstTypesList) end, + AllInstGens = proper_arith:list_insert(ListInstPos, InstListGen, + InstGens), + AllGens = proper_arith:insert(AllInstGens, SelfPos, OtherGens), + AltRecFun(AllGens, Size) + end) + end. + +-spec convert_maybe_hard_adt(mod_name(), type_name(), [abs_type()], state(), + stack(), var_dict()) -> + rich_result2(ret_type(),state()). +convert_maybe_hard_adt(Mod, Name, ArgForms, State, Stack, VarDict) -> + Arity = length(ArgForms), + case orddict:find({Name,Arity}, ?HARD_ADTS) of + {ok,Mod} -> + convert_custom(Mod, Mod, Name, ArgForms, State, Stack, VarDict); + {ok,ADTMod} -> + ADT = {remote_type,0,[{atom,0,ADTMod},{atom,0,Name},ArgForms]}, + convert(Mod, ADT, State, Stack, VarDict); + error -> + convert_custom(Mod, Mod, Name, ArgForms, State, Stack, VarDict) + end. + +-spec convert_custom(mod_name(), mod_name(), type_name(), [abs_type()], state(), + stack(), var_dict()) -> rich_result2(ret_type(),state()). +convert_custom(Mod, RemMod, Name, ArgForms, State, Stack, VarDict) -> + case process_list(Mod, ArgForms, State, Stack, VarDict) of + {ok,Args,NewState} -> + Arity = length(Args), + TypeRef = {type,Name,Arity}, + FullTypeRef = {RemMod,type,Name,Args}, + convert_type(TypeRef, FullTypeRef, NewState, Stack); + {error,_Reason} = Error -> + Error + end. + +-spec convert_record(mod_name(), type_name(), [abs_type()], state(), stack(), + var_dict()) -> rich_result2(ret_type(),state()). +convert_record(Mod, Name, RawSubsts, State, Stack, VarDict) -> + Substs = [{N,T} || {type,_,field_type,[{atom,_,N},T]} <- RawSubsts], + {SubstFields,SubstTypeForms} = lists:unzip(Substs), + case process_list(Mod, SubstTypeForms, State, Stack, VarDict) of + {ok,SubstTypes,NewState} -> + SubstsDict = dict:from_list(lists:zip(SubstFields, SubstTypes)), + TypeRef = {record,Name,0}, + FullTypeRef = {Mod,record,Name,SubstsDict}, + convert_type(TypeRef, FullTypeRef, NewState, Stack); + {error,_Reason} = Error -> + Error + end. + +-spec convert_type(type_ref(), full_type_ref(), state(), stack()) -> + rich_result2(ret_type(),state()). +convert_type(TypeRef, {Mod,_Kind,_Name,_Spec} = FullTypeRef, State, Stack) -> + case stack_position(FullTypeRef, Stack) of + none -> + case get_type_repr(Mod, TypeRef, false, State) of + {ok,TypeRepr,NewState} -> + convert_new_type(TypeRef, FullTypeRef, TypeRepr, NewState, + Stack); + {error,_Reason} = Error -> + Error + end; + 1 -> + base_case_error(Stack); + _Pos -> + {ok, {rec,fun([Gen],Size) -> Gen(Size) end,[{true,FullTypeRef}]}, + State} + end. + +-spec convert_new_type(type_ref(), full_type_ref(), type_repr(), state(), + stack()) -> rich_result2(ret_type(),state()). +convert_new_type(_TypeRef, {_Mod,type,_Name,[]}, + {cached,FinType,_TypeForm,_SymbInfo}, State, _Stack) -> + {ok, {simple,FinType}, State}; +convert_new_type(TypeRef, {Mod,type,_Name,Args} = FullTypeRef, + {abs_type,TypeForm,Vars,SymbInfo}, State, Stack) -> + VarDict = dict:from_list(lists:zip(Vars, Args)), + case convert(Mod, TypeForm, State, [FullTypeRef | Stack], VarDict) of + {ok, {simple,ImmFinType}, NewState} -> + FinType = case SymbInfo of + not_symb -> + ImmFinType; + {orig_abs,_OrigAbsType} -> + proper_symb:internal_well_defined(ImmFinType) + end, + FinalState = case Vars of + [] -> cache_type(Mod, TypeRef, FinType, TypeForm, + SymbInfo, NewState); + _ -> NewState + end, + {ok, {simple,FinType}, FinalState}; + {ok, {rec,RecFun,RecArgs}, NewState} -> + convert_maybe_rec(FullTypeRef, SymbInfo, RecFun, RecArgs, NewState, + Stack); + {error,_Reason} = Error -> + Error + end; +convert_new_type(_TypeRef, {Mod,record,Name,SubstsDict} = FullTypeRef, + {abs_record,OrigFields}, State, Stack) -> + Fields = [case dict:find(FieldName, SubstsDict) of + {ok,NewFieldType} -> NewFieldType; + error -> OrigFieldType + end + || {FieldName,OrigFieldType} <- OrigFields], + case convert_tuple(Mod, [{atom,0,Name} | Fields], false, State, + [FullTypeRef | Stack], dict:new()) of + {ok, {simple,_FinType}, _NewState} = Result -> + Result; + {ok, {rec,RecFun,RecArgs}, NewState} -> + convert_maybe_rec(FullTypeRef, not_symb, RecFun, RecArgs, NewState, + Stack); + {error,_Reason} = Error -> + Error + end. + +-spec cache_type(mod_name(), type_ref(), fin_type(), abs_type(), symb_info(), + state()) -> state(). +cache_type(Mod, TypeRef, FinType, TypeForm, SymbInfo, + #state{types = Types} = State) -> + TypeRepr = {cached,FinType,TypeForm,SymbInfo}, + ModTypes = dict:fetch(Mod, Types), + NewModTypes = dict:store(TypeRef, TypeRepr, ModTypes), + NewTypes = dict:store(Mod, NewModTypes, Types), + State#state{types = NewTypes}. + +-spec convert_maybe_rec(full_type_ref(), symb_info(), rec_fun(), rec_args(), + state(), stack()) -> rich_result2(ret_type(),state()). +convert_maybe_rec(FullTypeRef, SymbInfo, RecFun, RecArgs, State, Stack) -> + case at_toplevel(RecArgs, Stack) of + true -> base_case_error(Stack); + false -> safe_convert_maybe_rec(FullTypeRef, SymbInfo, RecFun, RecArgs, + State) + end. + +-spec safe_convert_maybe_rec(full_type_ref(),symb_info(),rec_fun(),rec_args(), + state()) -> rich_result2(ret_type(),state()). +safe_convert_maybe_rec(FullTypeRef, SymbInfo, RecFun, RecArgs, State) -> + case partition_rec_args(FullTypeRef, RecArgs, false) of + {[],[],_,_} -> + {ok, {rec,RecFun,RecArgs}, State}; + {MyRecArgs,MyPos,OtherRecArgs,_OtherPos} -> + case lists:all(fun({B,_T}) -> B =:= false end, MyRecArgs) of + true -> convert_rec_type(SymbInfo, RecFun, MyPos, OtherRecArgs, + State); + false -> {error, {internal,true_rec_arg_reached_type}} + end + end. + +-spec convert_rec_type(symb_info(), rec_fun(), [position()], rec_args(), + state()) -> {ok, ret_type(), state()}. +convert_rec_type(SymbInfo, RecFun, MyPos, [], State) -> + NumRecArgs = length(MyPos), + M = fun(GenFun) -> + fun(Size) -> + GenFuns = lists:duplicate(NumRecArgs, GenFun), + RecFun(GenFuns, erlang:max(0,Size - 1)) + end + end, + SizedGen = y(M), + ImmFinType = ?SIZED(Size,SizedGen(Size + 1)), + FinType = case SymbInfo of + not_symb -> + ImmFinType; + {orig_abs,_OrigAbsType} -> + proper_symb:internal_well_defined(ImmFinType) + end, + {ok, {simple,FinType}, State}; +convert_rec_type(_SymbInfo, RecFun, MyPos, OtherRecArgs, State) -> + NumRecArgs = length(MyPos), + NewRecFun = + fun(OtherGens,TopSize) -> + M = fun(GenFun) -> + fun(Size) -> + GenFuns = lists:duplicate(NumRecArgs, GenFun), + AllGens = + proper_arith:insert(GenFuns, MyPos, OtherGens), + RecFun(AllGens, erlang:max(0,Size - 1)) + end + end, + (y(M))(TopSize) + end, + NewRecArgs = clean_rec_args(OtherRecArgs), + {ok, {rec,NewRecFun,NewRecArgs}, State}. + +%% Y Combinator: Read more at http://bc.tech.coop/blog/070611.html. +-spec y(fun((fun((T) -> S)) -> fun((T) -> S))) -> fun((T) -> S). +y(M) -> + G = fun(F) -> + M(fun(A) -> (F(F))(A) end) + end, + G(G). + +-spec process_list(mod_name(), [abs_type() | ret_type()], state(), stack(), + var_dict()) -> rich_result2([ret_type()],state()). +process_list(Mod, RawTypes, State, Stack, VarDict) -> + Process = fun({simple,_FinType} = Type, {ok,Types,State1}) -> + {ok, [Type|Types], State1}; + ({rec,_RecFun,_RecArgs} = Type, {ok,Types,State1}) -> + {ok, [Type|Types], State1}; + (TypeForm, {ok,Types,State1}) -> + case convert(Mod, TypeForm, State1, Stack, VarDict) of + {ok,Type,State2} -> {ok,[Type|Types],State2}; + {error,_} = Err -> Err + end; + (_RawType, {error,_} = Err) -> + Err + end, + case lists:foldl(Process, {ok,[],State}, RawTypes) of + {ok,RevTypes,NewState} -> + {ok, lists:reverse(RevTypes), NewState}; + {error,_Reason} = Error -> + Error + end. + +-spec convert_integer(abs_expr(), state()) -> rich_result2(ret_type(),state()). +convert_integer(Expr, State) -> + case eval_int(Expr) of + {ok,Int} -> {ok, {simple,proper_types:exactly(Int)}, State}; + error -> expr_error(invalid_int_const, Expr) + end. + +-spec eval_int(abs_expr()) -> tagged_result(integer()). +eval_int(Expr) -> + NoBindings = erl_eval:new_bindings(), + try erl_eval:expr(Expr, NoBindings) of + {value,Value,_NewBindings} when is_integer(Value) -> + {ok, Value}; + _ -> + error + catch + error:_ -> + error + end. + +-spec expr_error(atom(), abs_expr()) -> {'error',term()}. +expr_error(Reason, Expr) -> + {error, {Reason,lists:flatten(erl_pp:expr(Expr))}}. + +-spec expr_error(atom(), abs_expr(), abs_expr()) -> {'error',term()}. +expr_error(Reason, Expr1, Expr2) -> + Str1 = lists:flatten(erl_pp:expr(Expr1)), + Str2 = lists:flatten(erl_pp:expr(Expr2)), + {error, {Reason,Str1,Str2}}. + +-spec base_case_error(stack()) -> {'error',term()}. +%% TODO: This might confuse, since it doesn't record the arguments to parametric +%% types or the type subsitutions of a record. +base_case_error([{Mod,type,Name,Args} | _Upper]) -> + Arity = length(Args), + {error, {no_base_case,{Mod,type,Name,Arity}}}; +base_case_error([{Mod,record,Name,_SubstsDict} | _Upper]) -> + {error, {no_base_case,{Mod,record,Name}}}. + + +%%------------------------------------------------------------------------------ +%% Helper datatypes handling functions +%%------------------------------------------------------------------------------ + +-spec stack_position(full_type_ref(), stack()) -> 'none' | pos_integer(). +stack_position(FullTypeRef, Stack) -> + SameType = fun(A) -> same_full_type_ref(A,FullTypeRef) end, + case proper_arith:find_first(SameType, Stack) of + {Pos,_} -> Pos; + none -> none + end. + +-spec partition_by_toplevel(rec_args(), stack(), boolean()) -> + {rec_args(),[position()],rec_args(),[position()]}. +partition_by_toplevel(RecArgs, [], _OnlyInstanceAccepting) -> + {[],[],RecArgs,lists:seq(1,length(RecArgs))}; +partition_by_toplevel(RecArgs, [_Parent | _Upper], _OnlyInstanceAccepting) + when is_atom(_Parent) -> + {[],[],RecArgs,lists:seq(1,length(RecArgs))}; +partition_by_toplevel(RecArgs, [Parent | _Upper], OnlyInstanceAccepting) -> + partition_rec_args(Parent, RecArgs, OnlyInstanceAccepting). + +-spec at_toplevel(rec_args(), stack()) -> boolean(). +at_toplevel(RecArgs, Stack) -> + case partition_by_toplevel(RecArgs, Stack, false) of + {[],[],_,_} -> false; + _ -> true + end. + +-spec partition_rec_args(full_type_ref(), rec_args(), boolean()) -> + {rec_args(),[position()],rec_args(),[position()]}. +partition_rec_args(FullTypeRef, RecArgs, OnlyInstanceAccepting) -> + SameType = + case OnlyInstanceAccepting of + true -> fun({false,_T}) -> false + ; ({_B,T}) -> same_full_type_ref(T,FullTypeRef) end; + false -> fun({_B,T}) -> same_full_type_ref(T,FullTypeRef) end + end, + proper_arith:partition(SameType, RecArgs). + +%% Tuples can be of 0 arity, unions of 1 and wunions at least of 2. +-spec combine_ret_types([ret_type()], {'tuple',boolean()} | 'union' + | 'wunion') -> ret_type(). +combine_ret_types(RetTypes, EnclosingType) -> + case lists:all(fun is_simple_ret_type/1, RetTypes) of + true -> + %% This should never happen for wunion. + Combine = case EnclosingType of + {tuple,false} -> fun proper_types:tuple/1; + {tuple,true} -> fun proper_types:fixed_list/1; + union -> fun proper_types:union/1 + end, + FinTypes = [T || {simple,T} <- RetTypes], + {simple, Combine(FinTypes)}; + false -> + NumTypes = length(RetTypes), + {RevRecFuns,RevRecArgsList,NumRecs} = + lists:foldl(fun add_ret_type/2, {[],[],0}, RetTypes), + RecFuns = lists:reverse(RevRecFuns), + RecArgsList = lists:reverse(RevRecArgsList), + RecArgLens = [length(RecArgs) || RecArgs <- RecArgsList], + RecFunInfo = {NumTypes,NumRecs,RecArgLens,RecFuns}, + FlatRecArgs = lists:flatten(RecArgsList), + {NewRecFun,NewRecArgs} = + case EnclosingType of + {tuple,ToList} -> + {tuple_rec_fun(RecFunInfo,ToList), + soft_clean_rec_args(FlatRecArgs,RecFunInfo,ToList)}; + union -> + {union_rec_fun(RecFunInfo),clean_rec_args(FlatRecArgs)}; + wunion -> + {wunion_rec_fun(RecFunInfo), + clean_rec_args(FlatRecArgs)} + end, + {rec, NewRecFun, NewRecArgs} + end. + +-spec tuple_rec_fun(rec_fun_info(), boolean()) -> rec_fun(). +tuple_rec_fun({_NumTypes,NumRecs,RecArgLens,RecFuns}, ToList) -> + Combine = case ToList of + true -> fun proper_types:fixed_list/1; + false -> fun proper_types:tuple/1 + end, + fun(AllGFs,TopSize) -> + Size = TopSize div NumRecs, + GFsList = proper_arith:unflatten(AllGFs, RecArgLens), + ArgsList = [[GenFuns,Size] || GenFuns <- GFsList], + ZipFun = fun erlang:apply/2, + Combine(lists:zipwith(ZipFun, RecFuns, ArgsList)) + end. + +-spec union_rec_fun(rec_fun_info()) -> rec_fun(). +union_rec_fun({_NumTypes,_NumRecs,RecArgLens,RecFuns}) -> + fun(AllGFs,Size) -> + GFsList = proper_arith:unflatten(AllGFs, RecArgLens), + ArgsList = [[GenFuns,Size] || GenFuns <- GFsList], + ZipFun = fun(F,A) -> ?LAZY(apply(F,A)) end, + proper_types:union(lists:zipwith(ZipFun, RecFuns, ArgsList)) + end. + +-spec wunion_rec_fun(rec_fun_info()) -> rec_fun(). +wunion_rec_fun({NumTypes,_NumRecs,RecArgLens,RecFuns}) -> + fun(AllGFs,Size) -> + GFsList = proper_arith:unflatten(AllGFs, RecArgLens), + ArgsList = [[GenFuns,Size] || GenFuns <- GFsList], + ZipFun = fun(W,F,A) -> {W,?LAZY(apply(F,A))} end, + RecWeight = erlang:max(1, Size div (NumTypes - 1)), + Weights = [1 | lists:duplicate(NumTypes - 1, RecWeight)], + WeightedChoices = lists:zipwith3(ZipFun, Weights, RecFuns, ArgsList), + proper_types:wunion(WeightedChoices) + end. + +-spec add_ret_type(ret_type(), {[rec_fun()],[rec_args()],non_neg_integer()}) -> + {[rec_fun()],[rec_args()],non_neg_integer()}. +add_ret_type({simple,FinType}, {RecFuns,RecArgsList,NumRecs}) -> + {[fun([],_) -> FinType end | RecFuns], [[] | RecArgsList], NumRecs}; +add_ret_type({rec,RecFun,RecArgs}, {RecFuns,RecArgsList,NumRecs}) -> + {[RecFun | RecFuns], [RecArgs | RecArgsList], NumRecs + 1}. + +-spec is_simple_ret_type(ret_type()) -> boolean(). +is_simple_ret_type({simple,_FinType}) -> + true; +is_simple_ret_type({rec,_RecFun,_RecArgs}) -> + false. + +-spec clean_rec_args(rec_args()) -> rec_args(). +clean_rec_args(RecArgs) -> + [{false,F} || {_B,F} <- RecArgs]. + +-spec soft_clean_rec_args(rec_args(), rec_fun_info(), boolean()) -> rec_args(). +soft_clean_rec_args(RecArgs, RecFunInfo, ToList) -> + soft_clean_rec_args_tr(RecArgs, [], RecFunInfo, ToList, false, 1). + +-spec soft_clean_rec_args_tr(rec_args(), rec_args(), rec_fun_info(), boolean(), + boolean(), position()) -> rec_args(). +soft_clean_rec_args_tr([], Acc, _RecFunInfo, _ToList, _FoundListInst, _Pos) -> + lists:reverse(Acc); +soft_clean_rec_args_tr([{{list,_NonEmpty,_AltRecFun},FTRef} | Rest], Acc, + RecFunInfo, ToList, true, Pos) -> + NewArg = {false,FTRef}, + soft_clean_rec_args_tr(Rest, [NewArg|Acc], RecFunInfo, ToList, true, Pos+1); +soft_clean_rec_args_tr([{{list,NonEmpty,AltRecFun},FTRef} | Rest], Acc, + RecFunInfo, ToList, false, Pos) -> + {NumTypes,NumRecs,RecArgLens,RecFuns} = RecFunInfo, + AltRecFunPos = get_group(Pos, RecArgLens), + AltRecFuns = proper_arith:list_update(AltRecFunPos, AltRecFun, RecFuns), + AltRecFunInfo = {NumTypes,NumRecs,RecArgLens,AltRecFuns}, + NewArg = {{list,NonEmpty,tuple_rec_fun(AltRecFunInfo,ToList)},FTRef}, + soft_clean_rec_args_tr(Rest, [NewArg|Acc], RecFunInfo, ToList, true, Pos+1); +soft_clean_rec_args_tr([Arg | Rest], Acc, RecFunInfo, ToList, FoundListInst, + Pos) -> + soft_clean_rec_args_tr(Rest, [Arg | Acc], RecFunInfo, ToList, FoundListInst, + Pos+1). + +-spec get_group(pos_integer(), [non_neg_integer()]) -> pos_integer(). +get_group(Pos, AllMembers) -> + get_group_tr(Pos, AllMembers, 1). + +-spec get_group_tr(pos_integer(), [non_neg_integer()], pos_integer()) -> + pos_integer(). +get_group_tr(Pos, [Members | Rest], GroupNum) -> + case Pos =< Members of + true -> GroupNum; + false -> get_group_tr(Pos - Members, Rest, GroupNum + 1) + end. + +-spec same_full_type_ref(full_type_ref(), term()) -> boolean(). +same_full_type_ref({SameMod,type,SameName,Args1}, + {SameMod,type,SameName,Args2}) -> + length(Args1) =:= length(Args2) + andalso lists:all(fun({A,B}) -> same_ret_type(A,B) end, + lists:zip(Args1, Args2)); +same_full_type_ref({SameMod,record,SameName,SubstsDict1}, + {SameMod,record,SameName,SubstsDict2}) -> + same_substs_dict(SubstsDict1, SubstsDict2); +same_full_type_ref(_, _) -> + false. + +-spec same_ret_type(ret_type(), ret_type()) -> boolean(). +same_ret_type({simple,FinType1}, {simple,FinType2}) -> + same_fin_type(FinType1, FinType2); +same_ret_type({rec,RecFun1,RecArgs1}, {rec,RecFun2,RecArgs2}) -> + NumRecArgs = length(RecArgs1), + length(RecArgs2) =:= NumRecArgs + andalso lists:all(fun({A1,A2}) -> same_rec_arg(A1,A2,NumRecArgs) end, + lists:zip(RecArgs1,RecArgs2)) + andalso same_rec_fun(RecFun1, RecFun2, NumRecArgs); +same_ret_type(_, _) -> + false. + +%% TODO: Is this too strict? +-spec same_rec_arg(rec_arg(), rec_arg(), arity()) -> boolean(). +same_rec_arg({{list,SameBool,AltRecFun1},FTRef1}, + {{list,SameBool,AltRecFun2},FTRef2}, NumRecArgs) -> + same_rec_fun(AltRecFun1, AltRecFun2, NumRecArgs) + andalso same_full_type_ref(FTRef1, FTRef2); +same_rec_arg({true,FTRef1}, {true,FTRef2}, _NumRecArgs) -> + same_full_type_ref(FTRef1, FTRef2); +same_rec_arg({false,FTRef1}, {false,FTRef2}, _NumRecArgs) -> + same_full_type_ref(FTRef1, FTRef2); +same_rec_arg(_, _, _NumRecArgs) -> + false. + +-spec same_substs_dict(substs_dict(), substs_dict()) -> boolean(). +same_substs_dict(SubstsDict1, SubstsDict2) -> + SameKVPair = fun({{_K,V1},{_K,V2}}) -> same_ret_type(V1,V2); + (_) -> false + end, + SubstsKVList1 = lists:sort(dict:to_list(SubstsDict1)), + SubstsKVList2 = lists:sort(dict:to_list(SubstsDict2)), + length(SubstsKVList1) =:= length(SubstsKVList2) + andalso lists:all(SameKVPair, lists:zip(SubstsKVList1,SubstsKVList2)). + +-spec same_fin_type(fin_type(), fin_type()) -> boolean(). +same_fin_type(Type1, Type2) -> + proper_types:equal_types(Type1, Type2). + +-spec same_rec_fun(rec_fun(), rec_fun(), arity()) -> boolean(). +same_rec_fun(RecFun1, RecFun2, NumRecArgs) -> + %% It's ok that we return a type, even if there's a 'true' for use of + %% an instance. + GenFun = fun(_Size) -> proper_types:exactly('$dummy') end, + GenFuns = lists:duplicate(NumRecArgs,GenFun), + same_fin_type(RecFun1(GenFuns,0), RecFun2(GenFuns,0)). |