From 25c6dc431d612a842fe504a661f01e81a5d452fa Mon Sep 17 00:00:00 2001 From: Hans Bolinder Date: Wed, 9 Sep 2015 12:31:13 +0200 Subject: dialyzer: Add a testcase --- .../opaque_SUITE_data/src/proper/proper_common.hrl | 55 + .../opaque_SUITE_data/src/proper/proper_gen.erl | 624 +++++ .../src/proper/proper_internal.hrl | 92 + .../opaque_SUITE_data/src/proper/proper_types.erl | 1349 +++++++++++ .../src/proper/proper_typeserver.erl | 2401 ++++++++++++++++++++ 5 files changed, 4521 insertions(+) create mode 100644 lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_common.hrl create mode 100644 lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_gen.erl create mode 100644 lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_internal.hrl create mode 100644 lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_types.erl create mode 100644 lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_typeserver.erl (limited to 'lib/dialyzer/test') diff --git a/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_common.hrl b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_common.hrl new file mode 100644 index 0000000000..c10626c5cc --- /dev/null +++ b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_common.hrl @@ -0,0 +1,55 @@ +%%% Copyright 2010-2013 Manolis Papadakis , +%%% Eirini Arvaniti +%%% and Kostis Sagonas +%%% +%%% 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 . + +%%% @copyright 2010-2013 Manolis Papadakis, Eirini Arvaniti and Kostis Sagonas +%%% @version {@version} +%%% @author Manolis Papadakis +%%% @doc Common parts of user and internal header files + + +%%------------------------------------------------------------------------------ +%% Test generation macros +%%------------------------------------------------------------------------------ + +-define(FORALL(X,RawType,Prop), proper:forall(RawType,fun(X) -> Prop end)). +-define(IMPLIES(Pre,Prop), proper:implies(Pre,?DELAY(Prop))). +-define(WHENFAIL(Action,Prop), proper:whenfail(?DELAY(Action),?DELAY(Prop))). +-define(TRAPEXIT(Prop), proper:trapexit(?DELAY(Prop))). +-define(TIMEOUT(Limit,Prop), proper:timeout(Limit,?DELAY(Prop))). +%% TODO: -define(ALWAYS(Tests,Prop), proper:always(Tests,?DELAY(Prop))). +%% TODO: -define(SOMETIMES(Tests,Prop), proper:sometimes(Tests,?DELAY(Prop))). + + +%%------------------------------------------------------------------------------ +%% Generator macros +%%------------------------------------------------------------------------------ + +-define(FORCE(X), (X)()). +-define(DELAY(X), fun() -> X end). +-define(LAZY(X), proper_types:lazy(?DELAY(X))). +-define(SIZED(SizeArg,Gen), proper_types:sized(fun(SizeArg) -> Gen end)). +-define(LET(X,RawType,Gen), proper_types:bind(RawType,fun(X) -> Gen end,false)). +-define(SHRINK(Gen,AltGens), + proper_types:shrinkwith(?DELAY(Gen),?DELAY(AltGens))). +-define(LETSHRINK(Xs,RawType,Gen), + proper_types:bind(RawType,fun(Xs) -> Gen end,true)). +-define(SUCHTHAT(X,RawType,Condition), + proper_types:add_constraint(RawType,fun(X) -> Condition end,true)). +-define(SUCHTHATMAYBE(X,RawType,Condition), + proper_types:add_constraint(RawType,fun(X) -> Condition end,false)). diff --git a/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_gen.erl b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_gen.erl new file mode 100644 index 0000000000..bf627d1373 --- /dev/null +++ b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_gen.erl @@ -0,0 +1,624 @@ +%%% Copyright 2010-2013 Manolis Papadakis , +%%% Eirini Arvaniti +%%% and Kostis Sagonas +%%% +%%% 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 . + +%%% @copyright 2010-2013 Manolis Papadakis, Eirini Arvaniti and Kostis Sagonas +%%% @version {@version} +%%% @author Manolis Papadakis + +%%% @doc Generator subsystem and generators for basic types. +%%% +%%% You can use these functions to try out the random +%%% instance generation and shrinking subsystems. +%%% +%%% CAUTION: These functions should never be used inside properties. They are +%%% meant for demonstration purposes only. + +-module(proper_gen). +-export([pick/1, pick/2, pick/3, sample/1, sample/3, sampleshrink/1, sampleshrink/2]). + +-export([safe_generate/1]). +-export([generate/1, normal_gen/1, alt_gens/1, clean_instance/1, + get_ret_type/1]). +-export([integer_gen/3, float_gen/3, atom_gen/1, atom_rev/1, binary_gen/1, + binary_rev/1, binary_len_gen/1, bitstring_gen/1, bitstring_rev/1, + bitstring_len_gen/1, list_gen/2, distlist_gen/3, vector_gen/2, + union_gen/1, weighted_union_gen/1, tuple_gen/1, loose_tuple_gen/2, + loose_tuple_rev/2, exactly_gen/1, fixed_list_gen/1, function_gen/2, + any_gen/1, native_type_gen/2, safe_weighted_union_gen/1, + safe_union_gen/1]). + +-export_type([instance/0, imm_instance/0, sized_generator/0, nosize_generator/0, + generator/0, reverse_gen/0, combine_fun/0, alt_gens/0]). + +-include("proper_internal.hrl"). + + +%%----------------------------------------------------------------------------- +%% Types +%%----------------------------------------------------------------------------- + +%% TODO: update imm_instance() when adding more types: be careful when reading +%% anything that returns it +%% @private_type +-type imm_instance() :: proper_types:raw_type() + | instance() + | {'$used', imm_instance(), imm_instance()} + | {'$to_part', imm_instance()}. +-type instance() :: term(). +%% A value produced by the random instance generator. +-type error_reason() :: 'arity_limit' | 'cant_generate' | {'typeserver',term()}. + +%% @private_type +-type sized_generator() :: fun((size()) -> imm_instance()). +%% @private_type +-type typed_sized_generator() :: {'typed', + fun((proper_types:type(),size()) -> + imm_instance())}. +%% @private_type +-type nosize_generator() :: fun(() -> imm_instance()). +%% @private_type +-type typed_nosize_generator() :: {'typed', + fun((proper_types:type()) -> + imm_instance())}. +%% @private_type +-type generator() :: sized_generator() + | typed_sized_generator() + | nosize_generator() + | typed_nosize_generator(). +%% @private_type +-type plain_reverse_gen() :: fun((instance()) -> imm_instance()). +%% @private_type +-type typed_reverse_gen() :: {'typed', + fun((proper_types:type(),instance()) -> + imm_instance())}. +%% @private_type +-type reverse_gen() :: plain_reverse_gen() | typed_reverse_gen(). +%% @private_type +-type combine_fun() :: fun((instance()) -> imm_instance()). +%% @private_type +-type alt_gens() :: fun(() -> [imm_instance()]). +%% @private_type +-type fun_seed() :: {non_neg_integer(),non_neg_integer()}. + + +%%----------------------------------------------------------------------------- +%% Instance generation functions +%%----------------------------------------------------------------------------- + +%% @private +-spec safe_generate(proper_types:raw_type()) -> + {'ok',imm_instance()} | {'error',error_reason()}. +safe_generate(RawType) -> + try generate(RawType) of + ImmInstance -> {ok, ImmInstance} + catch + throw:'$arity_limit' -> {error, arity_limit}; + throw:'$cant_generate' -> {error, cant_generate}; + throw:{'$typeserver',SubReason} -> {error, {typeserver,SubReason}} + end. + +%% @private +-spec generate(proper_types:raw_type()) -> imm_instance(). +generate(RawType) -> + Type = proper_types:cook_outer(RawType), + ok = add_parameters(Type), + Instance = generate(Type, get('$constraint_tries'), none), + ok = remove_parameters(Type), + Instance. + +-spec add_parameters(proper_types:type()) -> 'ok'. +add_parameters(Type) -> + case proper_types:find_prop(parameters, Type) of + {ok, Params} -> + OldParams = erlang:get('$parameters'), + case OldParams of + undefined -> + erlang:put('$parameters', Params); + _ -> + erlang:put('$parameters', Params ++ OldParams) + end, + ok; + _ -> + ok + end. + +-spec remove_parameters(proper_types:type()) -> 'ok'. +remove_parameters(Type) -> + case proper_types:find_prop(parameters, Type) of + {ok, Params} -> + AllParams = erlang:get('$parameters'), + case AllParams of + Params-> + erlang:erase('$parameters'); + _ -> + erlang:put('$parameters', AllParams -- Params) + end, + ok; + _ -> + ok + end. + +-spec generate(proper_types:type(), non_neg_integer(), + 'none' | {'ok',imm_instance()}) -> imm_instance(). +generate(_Type, 0, none) -> + throw('$cant_generate'); +generate(_Type, 0, {ok,Fallback}) -> + Fallback; +generate(Type, TriesLeft, Fallback) -> + ImmInstance = + case proper_types:get_prop(kind, Type) of + constructed -> + PartsType = proper_types:get_prop(parts_type, Type), + Combine = proper_types:get_prop(combine, Type), + ImmParts = generate(PartsType), + Parts = clean_instance(ImmParts), + ImmInstance1 = Combine(Parts), + %% TODO: We can just generate the internal type: if it's not + %% a type, it will turn into an exactly. + ImmInstance2 = + case proper_types:is_raw_type(ImmInstance1) of + true -> generate(ImmInstance1); + false -> ImmInstance1 + end, + {'$used',ImmParts,ImmInstance2}; + _ -> + ImmInstance1 = normal_gen(Type), + case proper_types:is_raw_type(ImmInstance1) of + true -> generate(ImmInstance1); + false -> ImmInstance1 + end + end, + case proper_types:satisfies_all(clean_instance(ImmInstance), Type) of + {_,true} -> ImmInstance; + {true,false} -> generate(Type, TriesLeft - 1, {ok,ImmInstance}); + {false,false} -> generate(Type, TriesLeft - 1, Fallback) + end. + +%% @equiv pick(Type, 10) +-spec pick(Type::proper_types:raw_type()) -> {'ok',instance()} | 'error'. +pick(RawType) -> + pick(RawType, 10). + +%% @equiv pick(Type, Size, now()) +-spec pick(Type::proper_types:raw_type(), size()) -> {'ok', instance()} | 'error'. +pick(RawType, Size) -> + pick(RawType, Size, now()). + +%% @doc Generates a random instance of `Type', of size `Size' with seed `Seed'. +-spec pick(Type::proper_types:raw_type(), size(), seed()) -> + {'ok',instance()} | 'error'. +pick(RawType, Size, Seed) -> + proper:global_state_init_size_seed(Size, Seed), + case clean_instance(safe_generate(RawType)) of + {ok,Instance} = Result -> + Msg = "WARNING: Some garbage has been left in the process registry " + "and the code server~n" + "to allow for the returned function(s) to run normally.~n" + "Please run proper:global_state_erase() when done.~n", + case contains_fun(Instance) of + true -> io:format(Msg, []); + false -> proper:global_state_erase() + end, + Result; + {error,Reason} -> + proper:report_error(Reason, fun io:format/2), + proper:global_state_erase(), + error + end. + +%% @equiv sample(Type, 10, 20) +-spec sample(Type::proper_types:raw_type()) -> 'ok'. +sample(RawType) -> + sample(RawType, 10, 20). + +%% @doc Generates and prints one random instance of `Type' for each size from +%% `StartSize' up to `EndSize'. +-spec sample(Type::proper_types:raw_type(), size(), size()) -> 'ok'. +sample(RawType, StartSize, EndSize) when StartSize =< EndSize -> + Tests = EndSize - StartSize + 1, + Prop = ?FORALL(X, RawType, begin io:format("~p~n",[X]), true end), + Opts = [quiet,{start_size,StartSize},{max_size,EndSize},{numtests,Tests}], + _ = proper:quickcheck(Prop, Opts), + ok. + +%% @equiv sampleshrink(Type, 10) +-spec sampleshrink(Type::proper_types:raw_type()) -> 'ok'. +sampleshrink(RawType) -> + sampleshrink(RawType, 10). + +%% @doc Generates a random instance of `Type', of size `Size', then shrinks it +%% as far as it goes. The value produced on each step of the shrinking process +%% is printed on the screen. +-spec sampleshrink(Type::proper_types:raw_type(), size()) -> 'ok'. +sampleshrink(RawType, Size) -> + proper:global_state_init_size(Size), + Type = proper_types:cook_outer(RawType), + case safe_generate(Type) of + {ok,ImmInstance} -> + Shrunk = keep_shrinking(ImmInstance, [], Type), + PrintInst = fun(I) -> io:format("~p~n",[clean_instance(I)]) end, + lists:foreach(PrintInst, Shrunk); + {error,Reason} -> + proper:report_error(Reason, fun io:format/2) + end, + proper:global_state_erase(), + ok. + +-spec keep_shrinking(imm_instance(), [imm_instance()], proper_types:type()) -> + [imm_instance(),...]. +keep_shrinking(ImmInstance, Acc, Type) -> + case proper_shrink:shrink(ImmInstance, Type, init) of + {[], _NewState} -> + lists:reverse([ImmInstance|Acc]); + {[Shrunk|_Rest], _NewState} -> + keep_shrinking(Shrunk, [ImmInstance|Acc], Type) + end. + +-spec contains_fun(term()) -> boolean(). +contains_fun(List) when is_list(List) -> + proper_arith:safe_any(fun contains_fun/1, List); +contains_fun(Tuple) when is_tuple(Tuple) -> + contains_fun(tuple_to_list(Tuple)); +contains_fun(Fun) when is_function(Fun) -> + true; +contains_fun(_Term) -> + false. + + +%%----------------------------------------------------------------------------- +%% Utility functions +%%----------------------------------------------------------------------------- + +%% @private +-spec normal_gen(proper_types:type()) -> imm_instance(). +normal_gen(Type) -> + case proper_types:get_prop(generator, Type) of + {typed, Gen} -> + if + is_function(Gen, 1) -> Gen(Type); + is_function(Gen, 2) -> Gen(Type, proper:get_size(Type)) + end; + Gen -> + if + is_function(Gen, 0) -> Gen(); + is_function(Gen, 1) -> Gen(proper:get_size(Type)) + end + end. + +%% @private +-spec alt_gens(proper_types:type()) -> [imm_instance()]. +alt_gens(Type) -> + case proper_types:find_prop(alt_gens, Type) of + {ok, AltGens} -> ?FORCE(AltGens); + error -> [] + end. + +%% @private +-spec clean_instance(imm_instance()) -> instance(). +clean_instance({'$used',_ImmParts,ImmInstance}) -> + clean_instance(ImmInstance); +clean_instance({'$to_part',ImmInstance}) -> + clean_instance(ImmInstance); +clean_instance(ImmInstance) -> + if + is_list(ImmInstance) -> + %% CAUTION: this must handle improper lists + proper_arith:safe_map(fun clean_instance/1, ImmInstance); + is_tuple(ImmInstance) -> + proper_arith:tuple_map(fun clean_instance/1, ImmInstance); + true -> + ImmInstance + end. + + +%%----------------------------------------------------------------------------- +%% Basic type generators +%%----------------------------------------------------------------------------- + +%% @private +-spec integer_gen(size(), proper_types:extint(), proper_types:extint()) -> + integer(). +integer_gen(Size, inf, inf) -> + proper_arith:rand_int(Size); +integer_gen(Size, inf, High) -> + High - proper_arith:rand_non_neg_int(Size); +integer_gen(Size, Low, inf) -> + Low + proper_arith:rand_non_neg_int(Size); +integer_gen(Size, Low, High) -> + proper_arith:smart_rand_int(Size, Low, High). + +%% @private +-spec float_gen(size(), proper_types:extnum(), proper_types:extnum()) -> + float(). +float_gen(Size, inf, inf) -> + proper_arith:rand_float(Size); +float_gen(Size, inf, High) -> + High - proper_arith:rand_non_neg_float(Size); +float_gen(Size, Low, inf) -> + Low + proper_arith:rand_non_neg_float(Size); +float_gen(_Size, Low, High) -> + proper_arith:rand_float(Low, High). + +%% @private +-spec atom_gen(size()) -> proper_types:type(). +%% We make sure we never clash with internal atoms by checking that the first +%% character is not '$'. +atom_gen(Size) -> + ?LET(Str, + ?SUCHTHAT(X, + proper_types:resize(Size, + proper_types:list(proper_types:byte())), + X =:= [] orelse hd(X) =/= $$), + list_to_atom(Str)). + +%% @private +-spec atom_rev(atom()) -> imm_instance(). +atom_rev(Atom) -> + {'$used', atom_to_list(Atom), Atom}. + +%% @private +-spec binary_gen(size()) -> proper_types:type(). +binary_gen(Size) -> + ?LET(Bytes, + proper_types:resize(Size, + proper_types:list(proper_types:byte())), + list_to_binary(Bytes)). + +%% @private +-spec binary_rev(binary()) -> imm_instance(). +binary_rev(Binary) -> + {'$used', binary_to_list(Binary), Binary}. + +%% @private +-spec binary_len_gen(length()) -> proper_types:type(). +binary_len_gen(Len) -> + ?LET(Bytes, + proper_types:vector(Len, proper_types:byte()), + list_to_binary(Bytes)). + +%% @private +-spec bitstring_gen(size()) -> proper_types:type(). +bitstring_gen(Size) -> + ?LET({BytesHead, NumBits, TailByte}, + {proper_types:resize(Size,proper_types:binary()), + proper_types:range(0,7), proper_types:range(0,127)}, + <>). + +%% @private +-spec bitstring_rev(bitstring()) -> imm_instance(). +bitstring_rev(BitString) -> + List = bitstring_to_list(BitString), + {BytesList, BitsTail} = lists:splitwith(fun erlang:is_integer/1, List), + {NumBits, TailByte} = case BitsTail of + [] -> {0, 0}; + [Bits] -> N = bit_size(Bits), + <> = Bits, + {N, Byte} + end, + {'$used', + {{'$used',BytesList,list_to_binary(BytesList)}, NumBits, TailByte}, + BitString}. + +%% @private +-spec bitstring_len_gen(length()) -> proper_types:type(). +bitstring_len_gen(Len) -> + BytesLen = Len div 8, + BitsLen = Len rem 8, + ?LET({BytesHead, NumBits, TailByte}, + {proper_types:binary(BytesLen), BitsLen, + proper_types:range(0, 1 bsl BitsLen - 1)}, + <>). + +%% @private +-spec list_gen(size(), proper_types:type()) -> [imm_instance()]. +list_gen(Size, ElemType) -> + Len = proper_arith:rand_int(0, Size), + vector_gen(Len, ElemType). + +%% @private +-spec distlist_gen(size(), sized_generator(), boolean()) -> [imm_instance()]. +distlist_gen(RawSize, Gen, NonEmpty) -> + Len = case NonEmpty of + true -> proper_arith:rand_int(1, erlang:max(1,RawSize)); + false -> proper_arith:rand_int(0, RawSize) + end, + Size = case Len of + 1 -> RawSize - 1; + _ -> RawSize + end, + %% TODO: this produces a lot of types: maybe a simple 'div' is sufficient? + Sizes = proper_arith:distribute(Size, Len), + InnerTypes = [Gen(S) || S <- Sizes], + fixed_list_gen(InnerTypes). + +%% @private +-spec vector_gen(length(), proper_types:type()) -> [imm_instance()]. +vector_gen(Len, ElemType) -> + vector_gen_tr(Len, ElemType, []). + +-spec vector_gen_tr(length(), proper_types:type(), [imm_instance()]) -> + [imm_instance()]. +vector_gen_tr(0, _ElemType, AccList) -> + AccList; +vector_gen_tr(Left, ElemType, AccList) -> + vector_gen_tr(Left - 1, ElemType, [generate(ElemType) | AccList]). + +%% @private +-spec union_gen([proper_types:type(),...]) -> imm_instance(). +union_gen(Choices) -> + {_Choice,Type} = proper_arith:rand_choose(Choices), + generate(Type). + +%% @private +-spec weighted_union_gen([{frequency(),proper_types:type()},...]) -> + imm_instance(). +weighted_union_gen(FreqChoices) -> + {_Choice,Type} = proper_arith:freq_choose(FreqChoices), + generate(Type). + +%% @private +-spec safe_union_gen([proper_types:type(),...]) -> imm_instance(). +safe_union_gen(Choices) -> + {Choice,Type} = proper_arith:rand_choose(Choices), + try generate(Type) + catch + error:_ -> + safe_union_gen(proper_arith:list_remove(Choice, Choices)) + end. + +%% @private +-spec safe_weighted_union_gen([{frequency(),proper_types:type()},...]) -> + imm_instance(). +safe_weighted_union_gen(FreqChoices) -> + {Choice,Type} = proper_arith:freq_choose(FreqChoices), + try generate(Type) + catch + error:_ -> + safe_weighted_union_gen(proper_arith:list_remove(Choice, + FreqChoices)) + end. + +%% @private +-spec tuple_gen([proper_types:type()]) -> tuple(). +tuple_gen(Fields) -> + list_to_tuple(fixed_list_gen(Fields)). + +%% @private +-spec loose_tuple_gen(size(), proper_types:type()) -> proper_types:type(). +loose_tuple_gen(Size, ElemType) -> + ?LET(L, + proper_types:resize(Size, proper_types:list(ElemType)), + list_to_tuple(L)). + +%% @private +-spec loose_tuple_rev(tuple(), proper_types:type()) -> imm_instance(). +loose_tuple_rev(Tuple, ElemType) -> + CleanList = tuple_to_list(Tuple), + List = case proper_types:find_prop(reverse_gen, ElemType) of + {ok,{typed, ReverseGen}} -> + [ReverseGen(ElemType,X) || X <- CleanList]; + {ok,ReverseGen} -> [ReverseGen(X) || X <- CleanList]; + error -> CleanList + end, + {'$used', List, Tuple}. + +%% @private +-spec exactly_gen(T) -> T. +exactly_gen(X) -> + X. + +%% @private +-spec fixed_list_gen([proper_types:type()]) -> imm_instance() + ; ({[proper_types:type()],proper_types:type()}) -> + maybe_improper_list(imm_instance(), imm_instance() | []). +fixed_list_gen({ProperHead,ImproperTail}) -> + [generate(F) || F <- ProperHead] ++ generate(ImproperTail); +fixed_list_gen(ProperFields) -> + [generate(F) || F <- ProperFields]. + +%% @private +-spec function_gen(arity(), proper_types:type()) -> function(). +function_gen(Arity, RetType) -> + FunSeed = {proper_arith:rand_int(0, ?SEED_RANGE - 1), + proper_arith:rand_int(0, ?SEED_RANGE - 1)}, + create_fun(Arity, RetType, FunSeed). + +%% @private +-spec any_gen(size()) -> imm_instance(). +any_gen(Size) -> + case get('$any_type') of + undefined -> real_any_gen(Size); + {type,AnyType} -> generate(proper_types:resize(Size, AnyType)) + end. + +-spec real_any_gen(size()) -> imm_instance(). +real_any_gen(0) -> + SimpleTypes = [proper_types:integer(), proper_types:float(), + proper_types:atom()], + union_gen(SimpleTypes); +real_any_gen(Size) -> + FreqChoices = [{?ANY_SIMPLE_PROB,simple}, {?ANY_BINARY_PROB,binary}, + {?ANY_EXPAND_PROB,expand}], + case proper_arith:freq_choose(FreqChoices) of + {_,simple} -> + real_any_gen(0); + {_,binary} -> + generate(proper_types:resize(Size, proper_types:bitstring())); + {_,expand} -> + %% TODO: statistics of produced terms? + NumElems = proper_arith:rand_int(0, Size - 1), + ElemSizes = proper_arith:distribute(Size - 1, NumElems), + ElemTypes = [?LAZY(real_any_gen(S)) || S <- ElemSizes], + case proper_arith:rand_int(1,2) of + 1 -> fixed_list_gen(ElemTypes); + 2 -> tuple_gen(ElemTypes) + end + end. + +%% @private +-spec native_type_gen(mod_name(), string()) -> proper_types:type(). +native_type_gen(Mod, TypeStr) -> + case proper_typeserver:translate_type({Mod,TypeStr}) of + {ok,Type} -> Type; + {error,Reason} -> throw({'$typeserver',Reason}) + end. + + +%%------------------------------------------------------------------------------ +%% Function-generation functions +%%------------------------------------------------------------------------------ + +-spec create_fun(arity(), proper_types:type(), fun_seed()) -> function(). +create_fun(Arity, RetType, FunSeed) -> + Handler = fun(Args) -> function_body(Args, RetType, FunSeed) end, + Err = fun() -> throw('$arity_limit') end, + case Arity of + 0 -> fun() -> Handler([]) end; + _ -> Err() + end. + +%% @private +-spec get_ret_type(function()) -> proper_types:type(). +get_ret_type(Fun) -> + {arity,Arity} = erlang:fun_info(Fun, arity), + put('$get_ret_type', true), + RetType = apply(Fun, lists:duplicate(Arity,dummy)), + erase('$get_ret_type'), + RetType. +-spec function_body([term()], proper_types:type(), fun_seed()) -> + proper_types:type() | instance(). +function_body(Args, RetType, {Seed1,Seed2}) -> + case get('$get_ret_type') of + true -> + RetType; + _ -> + SavedSeed = get(?SEED_NAME), + update_seed({Seed1,Seed2,erlang:phash2(Args,?SEED_RANGE)}), + Ret = clean_instance(generate(RetType)), + put(?SEED_NAME, SavedSeed), + proper_symb:internal_eval(Ret) + end. + +-ifdef(USE_SFMT). +update_seed(Seed) -> + sfmt:seed(Seed). +-else. +update_seed(Seed) -> + put(random_seed, Seed). +-endif. diff --git a/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_internal.hrl b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_internal.hrl new file mode 100644 index 0000000000..c790d7d4db --- /dev/null +++ b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_internal.hrl @@ -0,0 +1,92 @@ +%%% Copyright 2010-2013 Manolis Papadakis , +%%% Eirini Arvaniti +%%% and Kostis Sagonas +%%% +%%% 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 . + +%%% @copyright 2010-2013 Manolis Papadakis, Eirini Arvaniti and Kostis Sagonas +%%% @version {@version} +%%% @author Manolis Papadakis +%%% @doc Internal header file: This header is included in all PropEr source +%%% files. + +-include("proper_common.hrl"). + + +%%------------------------------------------------------------------------------ +%% Activate strip_types parse transform +%%------------------------------------------------------------------------------ + +-ifdef(NO_TYPES). +-compile({parse_transform, strip_types}). +-endif. + +%%------------------------------------------------------------------------------ +%% Random generator selection +%%------------------------------------------------------------------------------ + +-ifdef(USE_SFMT). +-define(RANDOM_MOD, sfmt). +-define(SEED_NAME, sfmt_seed). +-else. +-define(RANDOM_MOD, random). +-define(SEED_NAME, random_seed). +-endif. + +%%------------------------------------------------------------------------------ +%% Macros +%%------------------------------------------------------------------------------ + +-define(PROPERTY_PREFIX, "prop_"). + + +%%------------------------------------------------------------------------------ +%% Constants +%%------------------------------------------------------------------------------ + +-define(SEED_RANGE, 4294967296). +-define(MAX_ARITY, 20). +-define(MAX_TRIES_FACTOR, 5). +-define(ANY_SIMPLE_PROB, 3). +-define(ANY_BINARY_PROB, 1). +-define(ANY_EXPAND_PROB, 8). +-define(SMALL_RANGE_THRESHOLD, 16#FFFF). + + +%%------------------------------------------------------------------------------ +%% Common type aliases +%%------------------------------------------------------------------------------ + +%% TODO: Perhaps these should be moved inside modules. +-type mod_name() :: atom(). +-type fun_name() :: atom(). +-type size() :: non_neg_integer(). +-type length() :: non_neg_integer(). +-type position() :: pos_integer(). +-type frequency() :: pos_integer(). +-type seed() :: {non_neg_integer(), non_neg_integer(), non_neg_integer()}. + +-type abs_form() :: erl_parse:abstract_form(). +-type abs_expr() :: erl_parse:abstract_expr(). +-type abs_clause() :: erl_parse:abstract_clause(). + +%% TODO: Replace these with the appropriate types from stdlib. +-type abs_type() :: term(). +-type abs_rec_field() :: term(). + +-type loose_tuple(T) :: {} | {T} | {T,T} | {T,T,T} | {T,T,T,T} | {T,T,T,T,T} + | {T,T,T,T,T,T} | {T,T,T,T,T,T,T} | {T,T,T,T,T,T,T,T} + | {T,T,T,T,T,T,T,T,T} | {T,T,T,T,T,T,T,T,T,T} | tuple(). diff --git a/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_types.erl b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_types.erl new file mode 100644 index 0000000000..fe83a0ba11 --- /dev/null +++ b/lib/dialyzer/test/opaque_SUITE_data/src/proper/proper_types.erl @@ -0,0 +1,1349 @@ +%%% Copyright 2010-2013 Manolis Papadakis , +%%% Eirini Arvaniti +%%% and Kostis Sagonas +%%% +%%% 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 . + +%%% @copyright 2010-2013 Manolis Papadakis, Eirini Arvaniti and Kostis Sagonas +%%% @version {@version} +%%% @author Manolis Papadakis + +%%% @doc Type manipulation functions and predefined types. +%%% +%%% == Basic types == +%%% This module defines all the basic types of the PropEr type system as +%%% functions. See the function index for an overview. +%%% +%%% Types can be combined in tuples or lists to produce other types. Exact +%%% values (such as exact numbers, atoms, binaries and strings) can be combined +%%% with types inside such structures, like in this example of the type of a +%%% tagged tuple: ``{'result', integer()}''. +%%% +%%% When including the PropEr header file, all +%%% API functions of this module are automatically +%%% imported, unless `PROPER_NO_IMPORTS' is defined. +%%% +%%% == Customized types == +%%% The following operators can be applied to basic types in order to produce +%%% new ones: +%%% +%%%
+%%%
`?LET(, , )'
+%%%
To produce an instance of this type, all appearances of the variables +%%% in `' are replaced inside `' by their corresponding values in a +%%% randomly generated instance of `'. It's OK for the `' part to +%%% evaluate to a type - in that case, an instance of the inner type is +%%% generated recursively.
+%%%
`?SUCHTHAT(, , )'
+%%%
This produces a specialization of `', which only includes those +%%% members of `' that satisfy the constraint `' - that is, +%%% those members for which the function `fun() -> end' returns +%%% `true'. If the constraint is very strict - that is, only a small +%%% percentage of instances of `' pass the test - it will take a lot of +%%% tries for the instance generation subsystem to randomly produce a valid +%%% instance. This will result in slower testing, and testing may even be +%%% stopped short, in case the `constraint_tries' limit is reached (see the +%%% "Options" section in the documentation of the {@link proper} module). If +%%% this is the case, it would be more appropriate to generate valid instances +%%% of the specialized type using the `?LET' macro. Also make sure that even +%%% small instances can satisfy the constraint, since PropEr will only try +%%% small instances at the start of testing. If this is not possible, you can +%%% instruct PropEr to start at a larger size, by supplying a suitable value +%%% for the `start_size' option (see the "Options" section in the +%%% documentation of the {@link proper} module).
+%%%
`?SUCHTHATMAYBE(, , )'
+%%%
Equivalent to the `?SUCHTHAT' macro, but the constraint `' +%%% is considered non-strict: if the `constraint_tries' limit is reached, the +%%% generator will just return an instance of `' instead of failing, +%%% even if that instance doesn't satisfy the constraint.
+%%%
`?SHRINK(, )'
+%%%
This creates a type whose instances are generated by evaluating the +%%% statement block `' (this may evaluate to a type, which will +%%% then be generated recursively). If an instance of such a type is to be +%%% shrunk, the generators in `' are first run to produce +%%% hopefully simpler instances of the type. Thus, the generators in the +%%% second argument should be simpler than the default. The simplest ones +%%% should be at the front of the list, since those are the generators +%%% preferred by the shrinking subsystem. Like the main `', the +%%% alternatives may also evaluate to a type, which is generated recursively. +%%%
+%%%
`?LETSHRINK(, , )'
+%%%
This is created by combining a `?LET' and a `?SHRINK' macro. Instances +%%% are generated by applying a randomly generated list of values inside +%%% `' (just like a `?LET', with the added constraint that the +%%% variables and types must be provided in a list - alternatively, +%%% `' may be a list or vector type). When shrinking instances +%%% of such a type, the sub-instances that were combined to produce it are +%%% first tried in place of the failing instance.
+%%%
`?LAZY()'
+%%%
This construct returns a type whose only purpose is to delay the +%%% evaluation of `' (`' can return a type, which will +%%% be generated recursively). Using this, you can simulate the lazy +%%% generation of instances: +%%% ``` stream() -> ?LAZY(frequency([ {1,[]}, {3,[0|stream()]} ])). ''' +%%% The above type produces lists of zeroes with an average length of 3. Note +%%% that, had we not enclosed the generator with a `?LAZY' macro, the +%%% evaluation would continue indefinitely, due to the eager evaluation of +%%% the Erlang language.
+%%%
`non_empty()'
+%%%
See the documentation for {@link non_empty/1}.
+%%%
`noshrink()'
+%%%
See the documentation for {@link noshrink/1}.
+%%%
`default(, )'
+%%%
See the documentation for {@link default/2}.
+%%%
`with_parameter(, , )'
+%%%
See the documentation for {@link with_parameter/3}.
+%%%
`with_parameters(, )'
+%%%
See the documentation for {@link with_parameters/2}.
+%%%
+%%% +%%% == Size manipulation == +%%% The following operators are related to the `size' parameter, which controls +%%% the maximum size of produced instances. The actual size of a produced +%%% instance is chosen randomly, but can never exceed the value of the `size' +%%% parameter at the moment of generation. A more accurate definition is the +%%% following: the maximum instance of `size S' can never be smaller than the +%%% maximum instance of `size S-1'. The actual size of an instance is measured +%%% differently for each type: the actual size of a list is its length, while +%%% the actual size of a tree may be the number of its internal nodes. Some +%%% types, e.g. unions, have no notion of size, thus their generation is not +%%% influenced by the value of `size'. The `size' parameter starts at 1 and +%%% grows automatically during testing. +%%% +%%%
+%%%
`?SIZED(, )'
+%%%
Creates a new type, whose instances are produced by replacing all +%%% appearances of the `' parameter inside the statement block +%%% `' with the value of the `size' parameter. It's OK for the +%%% `' to return a type - in that case, an instance of the inner +%%% type is generated recursively.
+%%%
`resize(, )'
+%%%
See the documentation for {@link resize/2}.
+%%%
+ +-module(proper_types). +-export([is_inst/2, is_inst/3]). + +-export([integer/2, float/2, atom/0, binary/0, binary/1, bitstring/0, + bitstring/1, list/1, vector/2, union/1, weighted_union/1, tuple/1, + loose_tuple/1, exactly/1, fixed_list/1, function/2, any/0, + shrink_list/1, safe_union/1, safe_weighted_union/1]). +-export([integer/0, non_neg_integer/0, pos_integer/0, neg_integer/0, range/2, + float/0, non_neg_float/0, number/0, boolean/0, byte/0, char/0, + list/0, tuple/0, string/0, wunion/1, term/0, timeout/0, arity/0]). +-export([int/0, nat/0, largeint/0, real/0, bool/0, choose/2, elements/1, + oneof/1, frequency/1, return/1, default/2, orderedlist/1, function0/1, + function1/1, function2/1, function3/1, function4/1, + weighted_default/2]). +-export([resize/2, non_empty/1, noshrink/1]). + +-export([cook_outer/1, is_type/1, equal_types/2, is_raw_type/1, to_binary/1, + from_binary/1, get_prop/2, find_prop/2, safe_is_instance/2, + is_instance/2, unwrap/1, weakly/1, strongly/1, satisfies_all/2, + new_type/2, subtype/2]). +-export([lazy/1, sized/1, bind/3, shrinkwith/2, add_constraint/3, + native_type/2, distlist/3, with_parameter/3, with_parameters/2, + parameter/1, parameter/2]). +-export([le/2]). + +-export_type([type/0, raw_type/0, extint/0, extnum/0]). + +-include("proper_internal.hrl"). + + +%%------------------------------------------------------------------------------ +%% Comparison with erl_types +%%------------------------------------------------------------------------------ + +%% Missing types +%% ------------------- +%% will do: +%% records, maybe_improper_list(T,S), nonempty_improper_list(T,S) +%% maybe_improper_list(), maybe_improper_list(T), iolist, iodata +%% don't need: +%% nonempty_{list,string,maybe_improper_list} +%% won't do: +%% pid, port, ref, identifier, none, no_return, module, mfa, node +%% array, dict, digraph, set, gb_tree, gb_set, queue, tid + +%% Missing type information +%% ------------------------ +%% bin types: +%% other unit sizes? what about size info? +%% functions: +%% generally some fun, unspecified number of arguments but specified +%% return type +%% any: +%% doesn't cover functions and improper lists + + +%%------------------------------------------------------------------------------ +%% Type declaration macros +%%------------------------------------------------------------------------------ + +-define(BASIC(PropList), new_type(PropList,basic)). +-define(WRAPPER(PropList), new_type(PropList,wrapper)). +-define(CONSTRUCTED(PropList), new_type(PropList,constructed)). +-define(CONTAINER(PropList), new_type(PropList,container)). +-define(SUBTYPE(Type,PropList), subtype(PropList,Type)). + + +%%------------------------------------------------------------------------------ +%% Types +%%------------------------------------------------------------------------------ + +-type type_kind() :: 'basic' | 'wrapper' | 'constructed' | 'container' | atom(). +-type instance_test() :: fun((proper_gen:imm_instance()) -> boolean()) + | {'typed', + fun((proper_types:type(), + proper_gen:imm_instance()) -> boolean())}. +-type index() :: pos_integer(). +%% @alias +-type value() :: term(). +%% @private_type +%% @alias +-type extint() :: integer() | 'inf'. +%% @private_type +%% @alias +-type extnum() :: number() | 'inf'. +-type constraint_fun() :: fun((proper_gen:instance()) -> boolean()). + +-opaque type() :: {'$type', [type_prop()]}. +%% A type of the PropEr type system +%% @type raw_type(). You can consider this as an equivalent of {@type type()}. +-type raw_type() :: type() | [raw_type()] | loose_tuple(raw_type()) | term(). +-type type_prop_name() :: 'kind' | 'generator' | 'reverse_gen' | 'parts_type' + | 'combine' | 'alt_gens' | 'shrink_to_parts' + | 'size_transform' | 'is_instance' | 'shrinkers' + | 'noshrink' | 'internal_type' | 'internal_types' + | 'get_length' | 'split' | 'join' | 'get_indices' + | 'remove' | 'retrieve' | 'update' | 'constraints' + | 'parameters' | 'env' | 'subenv'. + +-type type_prop_value() :: term(). +-type type_prop() :: + {'kind', type_kind()} + | {'generator', proper_gen:generator()} + | {'reverse_gen', proper_gen:reverse_gen()} + | {'parts_type', type()} + | {'combine', proper_gen:combine_fun()} + | {'alt_gens', proper_gen:alt_gens()} + | {'shrink_to_parts', boolean()} + | {'size_transform', fun((size()) -> size())} + | {'is_instance', instance_test()} + | {'shrinkers', [proper_shrink:shrinker()]} + | {'noshrink', boolean()} + | {'internal_type', raw_type()} + | {'internal_types', tuple() | maybe_improper_list(type(),type() | [])} + %% The items returned by 'remove' must be of this type. + | {'get_length', fun((proper_gen:imm_instance()) -> length())} + %% If this is a container type, this should return the number of elements + %% it contains. + | {'split', fun((proper_gen:imm_instance()) -> [proper_gen:imm_instance()]) + | fun((length(),proper_gen:imm_instance()) -> + {proper_gen:imm_instance(),proper_gen:imm_instance()})} + %% If present, the appropriate form depends on whether get_length is + %% defined: if get_length is undefined, this must be in the one-argument + %% form (e.g. a tree should be split into its subtrees), else it must be + %% in the two-argument form (e.g. a list should be split in two at the + %% index provided). + | {'join', fun((proper_gen:imm_instance(),proper_gen:imm_instance()) -> + proper_gen:imm_instance())} + | {'get_indices', fun((proper_types:type(), + proper_gen:imm_instance()) -> [index()])} + %% If this is a container type, this should return a list of indices we + %% can use to remove or insert elements from the given instance. + | {'remove', fun((index(),proper_gen:imm_instance()) -> + proper_gen:imm_instance())} + | {'retrieve', fun((index(), proper_gen:imm_instance() | tuple() + | maybe_improper_list(type(),type() | [])) -> + value() | type())} + | {'update', fun((index(),value(),proper_gen:imm_instance()) -> + proper_gen:imm_instance())} + | {'constraints', [{constraint_fun(), boolean()}]} + %% A list of constraints on instances of this type: each constraint is a + %% tuple of a fun that must return 'true' for each valid instance and a + %% boolean field that specifies whether the condition is strict. + | {'parameters', [{atom(),value()}]} + | {'env', term()} + | {'subenv', term()}. + + +%%------------------------------------------------------------------------------ +%% Type manipulation functions +%%------------------------------------------------------------------------------ + +%% TODO: We shouldn't need the fully qualified type name in the range of these +%% functions. + +%% @private +%% TODO: just cook/1 ? +-spec cook_outer(raw_type()) -> proper_types:type(). +cook_outer(Type = {'$type',_Props}) -> + Type; +cook_outer(RawType) -> + if + is_tuple(RawType) -> tuple(tuple_to_list(RawType)); + %% CAUTION: this must handle improper lists + is_list(RawType) -> fixed_list(RawType); + %% default case (covers integers, floats, atoms, binaries, ...): + true -> exactly(RawType) + end. + +%% @private +-spec is_type(term()) -> boolean(). +is_type({'$type',_Props}) -> + true; +is_type(_) -> + false. + +%% @private +-spec equal_types(proper_types:type(), proper_types:type()) -> boolean(). +equal_types(SameType, SameType) -> + true; +equal_types(_, _) -> + false. + +%% @private +-spec is_raw_type(term()) -> boolean(). +is_raw_type({'$type',_TypeProps}) -> + true; +is_raw_type(X) -> + if + is_tuple(X) -> is_raw_type_list(tuple_to_list(X)); + is_list(X) -> is_raw_type_list(X); + true -> false + end. + +-spec is_raw_type_list(maybe_improper_list()) -> boolean(). +%% CAUTION: this must handle improper lists +is_raw_type_list(List) -> + proper_arith:safe_any(fun is_raw_type/1, List). + +%% @private +-spec to_binary(proper_types:type()) -> binary(). +to_binary(Type) -> + term_to_binary(Type). + +%% @private +%% TODO: restore: -spec from_binary(binary()) -> proper_types:type(). +from_binary(Binary) -> + binary_to_term(Binary). + +-spec type_from_list([type_prop()]) -> proper_types:type(). +type_from_list(KeyValueList) -> + {'$type',KeyValueList}. + +-spec add_prop(type_prop_name(), type_prop_value(), proper_types:type()) -> + proper_types:type(). +add_prop(PropName, Value, {'$type',Props}) -> + {'$type',lists:keystore(PropName, 1, Props, {PropName, Value})}. + +-spec add_props([type_prop()], proper_types:type()) -> proper_types:type(). +add_props(PropList, {'$type',OldProps}) -> + {'$type', lists:foldl(fun({N,_}=NV,Acc) -> + lists:keystore(N, 1, Acc, NV) + end, OldProps, PropList)}. + +-spec append_to_prop(type_prop_name(), type_prop_value(), + proper_types:type()) -> proper_types:type(). +append_to_prop(PropName, Value, {'$type',Props}) -> + Val = case lists:keyfind(PropName, 1, Props) of + {PropName, V} -> + V; + _ -> + [] + end, + {'$type', lists:keystore(PropName, 1, Props, + {PropName, lists:reverse([Value|Val])})}. + +-spec append_list_to_prop(type_prop_name(), [type_prop_value()], + proper_types:type()) -> proper_types:type(). +append_list_to_prop(PropName, List, {'$type',Props}) -> + {PropName, Val} = lists:keyfind(PropName, 1, Props), + {'$type', lists:keystore(PropName, 1, Props, {PropName, Val++List})}. + +%% @private +-spec get_prop(type_prop_name(), proper_types:type()) -> type_prop_value(). +get_prop(PropName, {'$type',Props}) -> + {_PropName, Val} = lists:keyfind(PropName, 1, Props), + Val. + +%% @private +-spec find_prop(type_prop_name(), proper_types:type()) -> + {'ok',type_prop_value()} | 'error'. +find_prop(PropName, {'$type',Props}) -> + case lists:keyfind(PropName, 1, Props) of + {PropName, Value} -> + {ok, Value}; + _ -> + error + end. + +%% @private +-spec new_type([type_prop()], type_kind()) -> proper_types:type(). +new_type(PropList, Kind) -> + Type = type_from_list(PropList), + add_prop(kind, Kind, Type). + +%% @private +-spec subtype([type_prop()], proper_types:type()) -> proper_types:type(). +%% TODO: should the 'is_instance' function etc. be reset for subtypes? +subtype(PropList, Type) -> + add_props(PropList, Type). + +%% @private +-spec is_inst(proper_gen:instance(), raw_type()) -> + boolean() | {'error',{'typeserver',term()}}. +is_inst(Instance, RawType) -> + is_inst(Instance, RawType, 10). + +%% @private +-spec is_inst(proper_gen:instance(), raw_type(), size()) -> + boolean() | {'error',{'typeserver',term()}}. +is_inst(Instance, RawType, Size) -> + proper:global_state_init_size(Size), + Result = safe_is_instance(Instance, RawType), + proper:global_state_erase(), + Result. + +%% @private +-spec safe_is_instance(proper_gen:imm_instance(), raw_type()) -> + boolean() | {'error',{'typeserver',term()}}. +safe_is_instance(ImmInstance, RawType) -> + try is_instance(ImmInstance, RawType) catch + throw:{'$typeserver',SubReason} -> {error, {typeserver,SubReason}} + end. + +%% @private +-spec is_instance(proper_gen:imm_instance(), raw_type()) -> boolean(). +%% TODO: If the second argument is not a type, let it pass (don't even check for +%% term equality?) - if it's a raw type, don't cook it, instead recurse +%% into it. +is_instance(ImmInstance, RawType) -> + CleanInstance = proper_gen:clean_instance(ImmInstance), + Type = cook_outer(RawType), + (case get_prop(kind, Type) of + wrapper -> wrapper_test(ImmInstance, Type); + constructed -> constructed_test(ImmInstance, Type); + _ -> false + end + orelse + case find_prop(is_instance, Type) of + {ok,{typed, IsInstance}} -> IsInstance(Type, ImmInstance); + {ok,IsInstance} -> IsInstance(ImmInstance); + error -> false + end) + andalso weakly(satisfies_all(CleanInstance, Type)). + +-spec wrapper_test(proper_gen:imm_instance(), proper_types:type()) -> boolean(). +wrapper_test(ImmInstance, Type) -> + %% TODO: check if it's actually a raw type that's returned? + lists:any(fun(T) -> is_instance(ImmInstance, T) end, unwrap(Type)). + +%% @private +%% TODO: restore:-spec unwrap(proper_types:type()) -> [proper_types:type(),...]. +%% TODO: check if it's actually a raw type that's returned? +unwrap(Type) -> + RawInnerTypes = proper_gen:alt_gens(Type) ++ [proper_gen:normal_gen(Type)], + [cook_outer(T) || T <- RawInnerTypes]. + +-spec constructed_test(proper_gen:imm_instance(), proper_types:type()) -> + boolean(). +constructed_test({'$used',ImmParts,ImmInstance}, Type) -> + PartsType = get_prop(parts_type, Type), + Combine = get_prop(combine, Type), + is_instance(ImmParts, PartsType) andalso + begin + %% TODO: check if it's actually a raw type that's returned? + %% TODO: move construction code to proper_gen + %% TODO: non-type => should we check for strict term equality? + RawInnerType = Combine(proper_gen:clean_instance(ImmParts)), + is_instance(ImmInstance, RawInnerType) + end; +constructed_test({'$to_part',ImmInstance}, Type) -> + PartsType = get_prop(parts_type, Type), + get_prop(shrink_to_parts, Type) =:= true andalso + %% TODO: we reject non-container types + get_prop(kind, PartsType) =:= container andalso + case {find_prop(internal_type,PartsType), + find_prop(internal_types,PartsType)} of + {{ok,EachPartType},error} -> + %% The parts are in a list or a vector. + is_instance(ImmInstance, EachPartType); + {error,{ok,PartTypesList}} -> + %% The parts are in a fixed list. + %% TODO: It should always be a proper list. + lists:any(fun(T) -> is_instance(ImmInstance,T) end, PartTypesList) + end; +constructed_test(_CleanInstance, _Type) -> + %% TODO: can we do anything better? + false. + +%% @private +-spec weakly({boolean(),boolean()}) -> boolean(). +weakly({B1,_B2}) -> B1. + +%% @private +-spec strongly({boolean(),boolean()}) -> boolean(). +strongly({_B1,B2}) -> B2. + +-spec satisfies(proper_gen:instance(), {constraint_fun(),boolean()}) + -> {boolean(),boolean()}. +satisfies(Instance, {Test,false}) -> + {true,Test(Instance)}; +satisfies(Instance, {Test,true}) -> + Result = Test(Instance), + {Result,Result}. + +%% @private +-spec satisfies_all(proper_gen:instance(), proper_types:type()) -> + {boolean(),boolean()}. +satisfies_all(Instance, Type) -> + case find_prop(constraints, Type) of + {ok, Constraints} -> + L = [satisfies(Instance, C) || C <- Constraints], + {L1,L2} = lists:unzip(L), + {lists:all(fun(B) -> B end, L1), lists:all(fun(B) -> B end, L2)}; + error -> + {true,true} + end. + + +%%------------------------------------------------------------------------------ +%% Type definition functions +%%------------------------------------------------------------------------------ + +%% @private +-spec lazy(proper_gen:nosize_generator()) -> proper_types:type(). +lazy(Gen) -> + ?WRAPPER([ + {generator, Gen} + ]). + +%% @private +-spec sized(proper_gen:sized_generator()) -> proper_types:type(). +sized(Gen) -> + ?WRAPPER([ + {generator, Gen} + ]). + +%% @private +-spec bind(raw_type(), proper_gen:combine_fun(), boolean()) -> + proper_types:type(). +bind(RawPartsType, Combine, ShrinkToParts) -> + PartsType = cook_outer(RawPartsType), + ?CONSTRUCTED([ + {parts_type, PartsType}, + {combine, Combine}, + {shrink_to_parts, ShrinkToParts} + ]). + +%% @private +-spec shrinkwith(proper_gen:nosize_generator(), proper_gen:alt_gens()) -> + proper_types:type(). +shrinkwith(Gen, DelaydAltGens) -> + ?WRAPPER([ + {generator, Gen}, + {alt_gens, DelaydAltGens} + ]). + +%% @private +-spec add_constraint(raw_type(), constraint_fun(), boolean()) -> + proper_types:type(). +add_constraint(RawType, Condition, IsStrict) -> + Type = cook_outer(RawType), + append_to_prop(constraints, {Condition,IsStrict}, Type). + +%% @private +-spec native_type(mod_name(), string()) -> proper_types:type(). +native_type(Mod, TypeStr) -> + ?WRAPPER([ + {generator, fun() -> proper_gen:native_type_gen(Mod,TypeStr) end} + ]). + + +%%------------------------------------------------------------------------------ +%% Basic types +%%------------------------------------------------------------------------------ + +%% @doc All integers between `Low' and `High', bounds included. +%% `Low' and `High' must be Erlang expressions that evaluate to integers, with +%% `Low =< High'. Additionally, `Low' and `High' may have the value `inf', in +%% which case they represent minus infinity and plus infinity respectively. +%% Instances shrink towards 0 if `Low =< 0 =< High', or towards the bound with +%% the smallest absolute value otherwise. +-spec integer(extint(), extint()) -> proper_types:type(). +integer(Low, High) -> + ?BASIC([ + {env, {Low, High}}, + {generator, {typed, fun integer_gen/2}}, + {is_instance, {typed, fun integer_is_instance/2}}, + {shrinkers, [fun number_shrinker/3]} + ]). + +integer_gen(Type, Size) -> + {Low, High} = get_prop(env, Type), + proper_gen:integer_gen(Size, Low, High). + +integer_is_instance(Type, X) -> + {Low, High} = get_prop(env, Type), + is_integer(X) andalso le(Low, X) andalso le(X, High). + +number_shrinker(X, Type, S) -> + {Low, High} = get_prop(env, Type), + proper_shrink:number_shrinker(X, Low, High, S). + +%% @doc All floats between `Low' and `High', bounds included. +%% `Low' and `High' must be Erlang expressions that evaluate to floats, with +%% `Low =< High'. Additionally, `Low' and `High' may have the value `inf', in +%% which case they represent minus infinity and plus infinity respectively. +%% Instances shrink towards 0.0 if `Low =< 0.0 =< High', or towards the bound +%% with the smallest absolute value otherwise. +-spec float(extnum(), extnum()) -> proper_types:type(). +float(Low, High) -> + ?BASIC([ + {env, {Low, High}}, + {generator, {typed, fun float_gen/2}}, + {is_instance, {typed, fun float_is_instance/2}}, + {shrinkers, [fun number_shrinker/3]} + ]). + +float_gen(Type, Size) -> + {Low, High} = get_prop(env, Type), + proper_gen:float_gen(Size, Low, High). + +float_is_instance(Type, X) -> + {Low, High} = get_prop(env, Type), + is_float(X) andalso le(Low, X) andalso le(X, High). + +%% @private +-spec le(extnum(), extnum()) -> boolean(). +le(inf, _B) -> true; +le(_A, inf) -> true; +le(A, B) -> A =< B. + +%% @doc All atoms. All atoms used internally by PropEr start with a '`$'', so +%% such atoms will never be produced as instances of this type. You should also +%% refrain from using such atoms in your code, to avoid a potential clash. +%% Instances shrink towards the empty atom, ''. +-spec atom() -> proper_types:type(). +atom() -> + ?WRAPPER([ + {generator, fun proper_gen:atom_gen/1}, + {reverse_gen, fun proper_gen:atom_rev/1}, + {size_transform, fun(Size) -> erlang:min(Size,255) end}, + {is_instance, fun atom_is_instance/1} + ]). + +atom_is_instance(X) -> + is_atom(X) + %% We return false for atoms starting with '$', since these are + %% atoms used internally and never produced by the atom generator. + andalso (X =:= '' orelse hd(atom_to_list(X)) =/= $$). + +%% @doc All binaries. Instances shrink towards the empty binary, `<<>>'. +-spec binary() -> proper_types:type(). +binary() -> + ?WRAPPER([ + {generator, fun proper_gen:binary_gen/1}, + {reverse_gen, fun proper_gen:binary_rev/1}, + {is_instance, fun erlang:is_binary/1} + ]). + +%% @doc All binaries with a byte size of `Len'. +%% `Len' must be an Erlang expression that evaluates to a non-negative integer. +%% Instances shrink towards binaries of zeroes. +-spec binary(length()) -> proper_types:type(). +binary(Len) -> + ?WRAPPER([ + {env, Len}, + {generator, {typed, fun binary_len_gen/1}}, + {reverse_gen, fun proper_gen:binary_rev/1}, + {is_instance, {typed, fun binary_len_is_instance/2}} + ]). + +binary_len_gen(Type) -> + Len = get_prop(env, Type), + proper_gen:binary_len_gen(Len). + +binary_len_is_instance(Type, X) -> + Len = get_prop(env, Type), + is_binary(X) andalso byte_size(X) =:= Len. + +%% @doc All bitstrings. Instances shrink towards the empty bitstring, `<<>>'. +-spec bitstring() -> proper_types:type(). +bitstring() -> + ?WRAPPER([ + {generator, fun proper_gen:bitstring_gen/1}, + {reverse_gen, fun proper_gen:bitstring_rev/1}, + {is_instance, fun erlang:is_bitstring/1} + ]). + +%% @doc All bitstrings with a bit size of `Len'. +%% `Len' must be an Erlang expression that evaluates to a non-negative integer. +%% Instances shrink towards bitstrings of zeroes +-spec bitstring(length()) -> proper_types:type(). +bitstring(Len) -> + ?WRAPPER([ + {env, Len}, + {generator, {typed, fun bitstring_len_gen/1}}, + {reverse_gen, fun proper_gen:bitstring_rev/1}, + {is_instance, {typed, fun bitstring_len_is_instance/2}} + ]). + +bitstring_len_gen(Type) -> + Len = get_prop(env, Type), + proper_gen:bitstring_len_gen(Len). + +bitstring_len_is_instance(Type, X) -> + Len = get_prop(env, Type), + is_bitstring(X) andalso bit_size(X) =:= Len. + +%% @doc All lists containing elements of type `ElemType'. +%% Instances shrink towards the empty list, `[]'. +-spec list(ElemType::raw_type()) -> proper_types:type(). +% TODO: subtyping would be useful here (list, vector, fixed_list) +list(RawElemType) -> + ElemType = cook_outer(RawElemType), + ?CONTAINER([ + {generator, {typed, fun list_gen/2}}, + {is_instance, {typed, fun list_is_instance/2}}, + {internal_type, ElemType}, + {get_length, fun erlang:length/1}, + {split, fun lists:split/2}, + {join, fun lists:append/2}, + {get_indices, fun list_get_indices/2}, + {remove, fun proper_arith:list_remove/2}, + {retrieve, fun lists:nth/2}, + {update, fun proper_arith:list_update/3} + ]). + +list_gen(Type, Size) -> + ElemType = get_prop(internal_type, Type), + proper_gen:list_gen(Size, ElemType). + +list_is_instance(Type, X) -> + ElemType = get_prop(internal_type, Type), + list_test(X, ElemType). + +%% @doc A type that generates exactly the list `List'. Instances shrink towards +%% shorter sublists of the original list. +-spec shrink_list([term()]) -> proper_types:type(). +shrink_list(List) -> + ?CONTAINER([ + {env, List}, + {generator, {typed, fun shrink_list_gen/1}}, + {is_instance, {typed, fun shrink_list_is_instance/2}}, + {get_length, fun erlang:length/1}, + {split, fun lists:split/2}, + {join, fun lists:append/2}, + {get_indices, fun list_get_indices/2}, + {remove, fun proper_arith:list_remove/2} + ]). + +shrink_list_gen(Type) -> + get_prop(env, Type). + +shrink_list_is_instance(Type, X) -> + List = get_prop(env, Type), + is_sublist(X, List). + +-spec is_sublist([term()], [term()]) -> boolean(). +is_sublist([], _) -> true; +is_sublist(_, []) -> false; +is_sublist([H|T1], [H|T2]) -> is_sublist(T1, T2); +is_sublist(Slice, [_|T2]) -> is_sublist(Slice, T2). + +-spec list_test(proper_gen:imm_instance(), proper_types:type()) -> boolean(). +list_test(X, ElemType) -> + is_list(X) andalso lists:all(fun(E) -> is_instance(E, ElemType) end, X). + +%% @private +-spec list_get_indices(proper_gen:generator(), list()) -> [position()]. +list_get_indices(_, List) -> + lists:seq(1, length(List)). + +%% @private +%% This assumes that: +%% - instances of size S are always valid instances of size >S +%% - any recursive calls inside Gen are lazy +-spec distlist(size(), proper_gen:sized_generator(), boolean()) -> + proper_types:type(). +distlist(Size, Gen, NonEmpty) -> + ParentType = case NonEmpty of + true -> non_empty(list(Gen(Size))); + false -> list(Gen(Size)) + end, + ?SUBTYPE(ParentType, [ + {subenv, {Size, Gen, NonEmpty}}, + {generator, {typed, fun distlist_gen/1}} + ]). + +distlist_gen(Type) -> + {Size, Gen, NonEmpty} = get_prop(subenv, Type), + proper_gen:distlist_gen(Size, Gen, NonEmpty). + +%% @doc All lists of length `Len' containing elements of type `ElemType'. +%% `Len' must be an Erlang expression that evaluates to a non-negative integer. +-spec vector(length(), ElemType::raw_type()) -> proper_types:type(). +vector(Len, RawElemType) -> + ElemType = cook_outer(RawElemType), + ?CONTAINER([ + {env, Len}, + {generator, {typed, fun vector_gen/1}}, + {is_instance, {typed, fun vector_is_instance/2}}, + {internal_type, ElemType}, + {get_indices, fun vector_get_indices/2}, + {retrieve, fun lists:nth/2}, + {update, fun proper_arith:list_update/3} + ]). + +vector_gen(Type) -> + Len = get_prop(env, Type), + ElemType = get_prop(internal_type, Type), + proper_gen:vector_gen(Len, ElemType). + +vector_is_instance(Type, X) -> + Len = get_prop(env, Type), + ElemType = get_prop(internal_type, Type), + is_list(X) + andalso length(X) =:= Len + andalso lists:all(fun(E) -> is_instance(E, ElemType) end, X). + +vector_get_indices(Type, _X) -> + lists:seq(1, get_prop(env, Type)). + +%% @doc The union of all types in `ListOfTypes'. `ListOfTypes' can't be empty. +%% The random instance generator is equally likely to choose any one of the +%% types in `ListOfTypes'. The shrinking subsystem will always try to shrink an +%% instance of a type union to an instance of the first type in `ListOfTypes', +%% thus you should write the simplest case first. +-spec union(ListOfTypes::[raw_type(),...]) -> proper_types:type(). +union(RawChoices) -> + Choices = [cook_outer(C) || C <- RawChoices], + ?BASIC([ + {env, Choices}, + {generator, {typed, fun union_gen/1}}, + {is_instance, {typed, fun union_is_instance/2}}, + {shrinkers, [fun union_shrinker_1/3, fun union_shrinker_2/3]} + ]). + +union_gen(Type) -> + Choices = get_prop(env,Type), + proper_gen:union_gen(Choices). + +union_is_instance(Type, X) -> + Choices = get_prop(env, Type), + lists:any(fun(C) -> is_instance(X, C) end, Choices). + +union_shrinker_1(X, Type, S) -> + Choices = get_prop(env, Type), + proper_shrink:union_first_choice_shrinker(X, Choices, S). + +union_shrinker_2(X, Type, S) -> + Choices = get_prop(env, Type), + proper_shrink:union_recursive_shrinker(X, Choices, S). + +%% @doc A specialization of {@link union/1}, where each type in `ListOfTypes' is +%% assigned a frequency. Frequencies must be Erlang expressions that evaluate to +%% positive integers. Types with larger frequencies are more likely to be chosen +%% by the random instance generator. The shrinking subsystem will ignore the +%% frequencies and try to shrink towards the first type in the list. +-spec weighted_union(ListOfTypes::[{frequency(),raw_type()},...]) -> + proper_types:type(). +weighted_union(RawFreqChoices) -> + CookFreqType = fun({Freq,RawType}) -> {Freq,cook_outer(RawType)} end, + FreqChoices = lists:map(CookFreqType, RawFreqChoices), + Choices = [T || {_F,T} <- FreqChoices], + ?SUBTYPE(union(Choices), [ + {subenv, FreqChoices}, + {generator, {typed, fun weighted_union_gen/1}} + ]). + +weighted_union_gen(Gen) -> + FreqChoices = get_prop(subenv, Gen), + proper_gen:weighted_union_gen(FreqChoices). + +%% @private +-spec safe_union([raw_type(),...]) -> proper_types:type(). +safe_union(RawChoices) -> + Choices = [cook_outer(C) || C <- RawChoices], + subtype( + [{subenv, Choices}, + {generator, {typed, fun safe_union_gen/1}}], + union(Choices)). + +safe_union_gen(Type) -> + Choices = get_prop(subenv, Type), + proper_gen:safe_union_gen(Choices). + +%% @private +-spec safe_weighted_union([{frequency(),raw_type()},...]) -> + proper_types:type(). +safe_weighted_union(RawFreqChoices) -> + CookFreqType = fun({Freq,RawType}) -> + {Freq,cook_outer(RawType)} end, + FreqChoices = lists:map(CookFreqType, RawFreqChoices), + Choices = [T || {_F,T} <- FreqChoices], + subtype([{subenv, FreqChoices}, + {generator, {typed, fun safe_weighted_union_gen/1}}], + union(Choices)). + +safe_weighted_union_gen(Type) -> + FreqChoices = get_prop(subenv, Type), + proper_gen:safe_weighted_union_gen(FreqChoices). + +%% @doc All tuples whose i-th element is an instance of the type at index i of +%% `ListOfTypes'. Also written simply as a tuple of types. +-spec tuple(ListOfTypes::[raw_type()]) -> proper_types:type(). +tuple(RawFields) -> + Fields = [cook_outer(F) || F <- RawFields], + ?CONTAINER([ + {env, Fields}, + {generator, {typed, fun tuple_gen/1}}, + {is_instance, {typed, fun tuple_is_instance/2}}, + {internal_types, list_to_tuple(Fields)}, + {get_indices, fun tuple_get_indices/2}, + {retrieve, fun erlang:element/2}, + {update, fun tuple_update/3} + ]). + +tuple_gen(Type) -> + Fields = get_prop(env, Type), + proper_gen:tuple_gen(Fields). + +tuple_is_instance(Type, X) -> + Fields = get_prop(env, Type), + is_tuple(X) andalso fixed_list_test(tuple_to_list(X), Fields). + +tuple_get_indices(Type, _X) -> + lists:seq(1, length(get_prop(env, Type))). + +-spec tuple_update(index(), value(), tuple()) -> tuple(). +tuple_update(Index, NewElem, Tuple) -> + setelement(Index, Tuple, NewElem). + +%% @doc Tuples whose elements are all of type `ElemType'. +%% Instances shrink towards the 0-size tuple, `{}'. +-spec loose_tuple(ElemType::raw_type()) -> proper_types:type(). +loose_tuple(RawElemType) -> + ElemType = cook_outer(RawElemType), + ?WRAPPER([ + {env, ElemType}, + {generator, {typed, fun loose_tuple_gen/2}}, + {reverse_gen, {typed, fun loose_tuple_rev/2}}, + {is_instance, {typed, fun loose_tuple_is_instance/2}} + ]). + +loose_tuple_gen(Type, Size) -> + ElemType = get_prop(env, Type), + proper_gen:loose_tuple_gen(Size, ElemType). + +loose_tuple_rev(Type, X) -> + ElemType = get_prop(env, Type), + proper_gen:loose_tuple_rev(X, ElemType). + +loose_tuple_is_instance(Type, X) -> + ElemType = get_prop(env, Type), + is_tuple(X) andalso list_test(tuple_to_list(X), ElemType). + +%% @doc Singleton type consisting only of `E'. `E' must be an evaluated term. +%% Also written simply as `E'. +-spec exactly(term()) -> proper_types:type(). +exactly(E) -> + ?BASIC([ + {env, E}, + {generator, {typed, fun exactly_gen/1}}, + {is_instance, {typed, fun exactly_is_instance/2}} + ]). + +exactly_gen(Type) -> + E = get_prop(env, Type), + proper_gen:exactly_gen(E). + +exactly_is_instance(Type, X) -> + E = get_prop(env, Type), + X =:= E. + +%% @doc All lists whose i-th element is an instance of the type at index i of +%% `ListOfTypes'. Also written simply as a list of types. +-spec fixed_list(ListOfTypes::maybe_improper_list(raw_type(),raw_type()|[])) -> + proper_types:type(). +fixed_list(MaybeImproperRawFields) -> + %% CAUTION: must handle improper lists + {Fields, Internal, Len, Retrieve, Update} = + case proper_arith:cut_improper_tail(MaybeImproperRawFields) of + % TODO: have cut_improper_tail return the length and use it in test? + {ProperRawHead, ImproperRawTail} -> + HeadLen = length(ProperRawHead), + CookedHead = [cook_outer(F) || F <- ProperRawHead], + CookedTail = cook_outer(ImproperRawTail), + {{CookedHead,CookedTail}, + CookedHead ++ CookedTail, + HeadLen + 1, + fun(I,L) -> improper_list_retrieve(I, L, HeadLen) end, + fun(I,V,L) -> improper_list_update(I, V, L, HeadLen) end}; + ProperRawFields -> + LocalFields = [cook_outer(F) || F <- ProperRawFields], + {LocalFields, + LocalFields, + length(ProperRawFields), + fun lists:nth/2, + fun proper_arith:list_update/3} + end, + ?CONTAINER([ + {env, {Fields, Len}}, + {generator, {typed, fun fixed_list_gen/1}}, + {is_instance, {typed, fun fixed_list_is_instance/2}}, + {internal_types, Internal}, + {get_indices, fun fixed_list_get_indices/2}, + {retrieve, Retrieve}, + {update, Update} + ]). + +fixed_list_gen(Type) -> + {Fields, _} = get_prop(env, Type), + proper_gen:fixed_list_gen(Fields). + +fixed_list_is_instance(Type, X) -> + {Fields, _} = get_prop(env, Type), + fixed_list_test(X, Fields). + +fixed_list_get_indices(Type, _X) -> + {_, Len} = get_prop(env, Type), + lists:seq(1, Len). + +-spec fixed_list_test(proper_gen:imm_instance(), + [proper_types:type()] | {[proper_types:type()], + proper_types:type()}) -> + boolean(). +fixed_list_test(X, {ProperHead,ImproperTail}) -> + is_list(X) andalso + begin + ProperHeadLen = length(ProperHead), + proper_arith:head_length(X) >= ProperHeadLen andalso + begin + {XHead,XTail} = lists:split(ProperHeadLen, X), + fixed_list_test(XHead, ProperHead) + andalso is_instance(XTail, ImproperTail) + end + end; +fixed_list_test(X, ProperFields) -> + is_list(X) + andalso length(X) =:= length(ProperFields) + andalso lists:all(fun({E,T}) -> is_instance(E, T) end, + lists:zip(X, ProperFields)). + +%% TODO: Move these 2 functions to proper_arith? +-spec improper_list_retrieve(index(), nonempty_improper_list(value(),value()), + pos_integer()) -> value(). +improper_list_retrieve(Index, List, HeadLen) -> + case Index =< HeadLen of + true -> lists:nth(Index, List); + false -> lists:nthtail(HeadLen, List) + end. + +-spec improper_list_update(index(), value(), + nonempty_improper_list(value(),value()), + pos_integer()) -> + nonempty_improper_list(value(),value()). +improper_list_update(Index, Value, List, HeadLen) -> + case Index =< HeadLen of + %% TODO: This happens to work, but is not implied by list_update's spec. + true -> proper_arith:list_update(Index, Value, List); + false -> lists:sublist(List, HeadLen) ++ Value + end. + +%% @doc All pure functions that map instances of `ArgTypes' to instances of +%% `RetType'. The syntax `function(Arity, RetType)' is also acceptable. +-spec function(ArgTypes::[raw_type()] | arity(), RetType::raw_type()) -> + proper_types:type(). +function(Arity, RawRetType) when is_integer(Arity), Arity >= 0, Arity =< 255 -> + RetType = cook_outer(RawRetType), + ?BASIC([ + {env, {Arity, RetType}}, + {generator, {typed, fun function_gen/1}}, + {is_instance, {typed, fun function_is_instance/2}} + ]); +function(RawArgTypes, RawRetType) -> + function(length(RawArgTypes), RawRetType). + +function_gen(Type) -> + {Arity, RetType} = get_prop(env, Type), + proper_gen:function_gen(Arity, RetType). + +function_is_instance(Type, X) -> + {Arity, RetType} = get_prop(env, Type), + is_function(X, Arity) + %% TODO: what if it's not a function we produced? + andalso equal_types(RetType, proper_gen:get_ret_type(X)). + +%% @doc All Erlang terms (that PropEr can produce). For reasons of efficiency, +%% functions are never produced as instances of this type.
+%% CAUTION: Instances of this type are expensive to produce, shrink and instance- +%% check, both in terms of processing time and consumed memory. Only use this +%% type if you are certain that you need it. +-spec any() -> proper_types:type(). +any() -> + AllTypes = [integer(),float(),atom(),bitstring(),?LAZY(loose_tuple(any())), + ?LAZY(list(any()))], + ?SUBTYPE(union(AllTypes), [ + {generator, fun proper_gen:any_gen/1} + ]). + + +%%------------------------------------------------------------------------------ +%% Type aliases +%%------------------------------------------------------------------------------ + +%% @equiv integer(inf, inf) +-spec integer() -> proper_types:type(). +integer() -> integer(inf, inf). + +%% @equiv integer(0, inf) +-spec non_neg_integer() -> proper_types:type(). +non_neg_integer() -> integer(0, inf). + +%% @equiv integer(1, inf) +-spec pos_integer() -> proper_types:type(). +pos_integer() -> integer(1, inf). + +%% @equiv integer(inf, -1) +-spec neg_integer() -> proper_types:type(). +neg_integer() -> integer(inf, -1). + +%% @equiv integer(Low, High) +-spec range(extint(), extint()) -> proper_types:type(). +range(Low, High) -> integer(Low, High). + +%% @equiv float(inf, inf) +-spec float() -> proper_types:type(). +float() -> float(inf, inf). + +%% @equiv float(0.0, inf) +-spec non_neg_float() -> proper_types:type(). +non_neg_float() -> float(0.0, inf). + +%% @equiv union([integer(), float()]) +-spec number() -> proper_types:type(). +number() -> union([integer(), float()]). + +%% @doc The atoms `true' and `false'. Instances shrink towards `false'. +-spec boolean() -> proper_types:type(). +boolean() -> union(['false', 'true']). + +%% @equiv integer(0, 255) +-spec byte() -> proper_types:type(). +byte() -> integer(0, 255). + +%% @equiv integer(0, 16#10ffff) +-spec char() -> proper_types:type(). +char() -> integer(0, 16#10ffff). + +%% @equiv list(any()) +-spec list() -> proper_types:type(). +list() -> list(any()). + +%% @equiv loose_tuple(any()) +-spec tuple() -> proper_types:type(). +tuple() -> loose_tuple(any()). + +%% @equiv list(char()) +-spec string() -> proper_types:type(). +string() -> list(char()). + +%% @equiv weighted_union(FreqChoices) +-spec wunion([{frequency(),raw_type()},...]) -> proper_types:type(). +wunion(FreqChoices) -> weighted_union(FreqChoices). + +%% @equiv any() +-spec term() -> proper_types:type(). +term() -> any(). + +%% @equiv union([non_neg_integer() | infinity]) +-spec timeout() -> proper_types:type(). +timeout() -> union([non_neg_integer(), 'infinity']). + +%% @equiv integer(0, 255) +-spec arity() -> proper_types:type(). +arity() -> integer(0, 255). + + +%%------------------------------------------------------------------------------ +%% QuickCheck compatibility types +%%------------------------------------------------------------------------------ + +%% @doc Small integers (bound by the current value of the `size' parameter). +%% Instances shrink towards `0'. +-spec int() -> proper_types:type(). +int() -> ?SIZED(Size, integer(-Size,Size)). + +%% @doc Small non-negative integers (bound by the current value of the `size' +%% parameter). Instances shrink towards `0'. +-spec nat() -> proper_types:type(). +nat() -> ?SIZED(Size, integer(0,Size)). + +%% @equiv integer() +-spec largeint() -> proper_types:type(). +largeint() -> integer(). + +%% @equiv float() +-spec real() -> proper_types:type(). +real() -> float(). + +%% @equiv boolean() +-spec bool() -> proper_types:type(). +bool() -> boolean(). + +%% @equiv integer(Low, High) +-spec choose(extint(), extint()) -> proper_types:type(). +choose(Low, High) -> integer(Low, High). + +%% @equiv union(Choices) +-spec elements([raw_type(),...]) -> proper_types:type(). +elements(Choices) -> union(Choices). + +%% @equiv union(Choices) +-spec oneof([raw_type(),...]) -> proper_types:type(). +oneof(Choices) -> union(Choices). + +%% @equiv weighted_union(Choices) +-spec frequency([{frequency(),raw_type()},...]) -> proper_types:type(). +frequency(FreqChoices) -> weighted_union(FreqChoices). + +%% @equiv exactly(E) +-spec return(term()) -> proper_types:type(). +return(E) -> exactly(E). + +%% @doc Adds a default value, `Default', to `Type'. +%% The default serves as a primary shrinking target for instances, while it +%% is also chosen by the random instance generation subsystem half the time. +-spec default(raw_type(), raw_type()) -> proper_types:type(). +default(Default, Type) -> + union([Default, Type]). + +%% @doc All sorted lists containing elements of type `ElemType'. +%% Instances shrink towards the empty list, `[]'. +-spec orderedlist(ElemType::raw_type()) -> proper_types:type(). +orderedlist(RawElemType) -> + ?LET(L, list(RawElemType), lists:sort(L)). + +%% @equiv function(0, RetType) +-spec function0(raw_type()) -> proper_types:type(). +function0(RetType) -> + function(0, RetType). + +%% @equiv function(1, RetType) +-spec function1(raw_type()) -> proper_types:type(). +function1(RetType) -> + function(1, RetType). + +%% @equiv function(2, RetType) +-spec function2(raw_type()) -> proper_types:type(). +function2(RetType) -> + function(2, RetType). + +%% @equiv function(3, RetType) +-spec function3(raw_type()) -> proper_types:type(). +function3(RetType) -> + function(3, RetType). + +%% @equiv function(4, RetType) +-spec function4(raw_type()) -> proper_types:type(). +function4(RetType) -> + function(4, RetType). + +%% @doc A specialization of {@link default/2}, where `Default' and `Type' are +%% assigned weights to be considered by the random instance generator. The +%% shrinking subsystem will ignore the weights and try to shrink using the +%% default value. +-spec weighted_default({frequency(),raw_type()}, {frequency(),raw_type()}) -> + proper_types:type(). +weighted_default(Default, Type) -> + weighted_union([Default, Type]). + + +%%------------------------------------------------------------------------------ +%% Additional type specification functions +%%------------------------------------------------------------------------------ + +%% @doc Overrides the `size' parameter used when generating instances of +%% `Type' with `NewSize'. Has no effect on size-less types, such as unions. +%% Also, this will not affect the generation of any internal types contained in +%% `Type', such as the elements of a list - those will still be generated +%% using the test-wide value of `size'. One use of this function is to modify +%% types to produce instances that grow faster or slower, like so: +%% ```?SIZED(Size, resize(Size * 2, list(integer()))''' +%% The above specifies a list type that grows twice as fast as normal lists. +-spec resize(size(), Type::raw_type()) -> proper_types:type(). +resize(NewSize, RawType) -> + Type = cook_outer(RawType), + case find_prop(size_transform, Type) of + {ok,Transform} -> + add_prop(size_transform, fun(_S) -> Transform(NewSize) end, Type); + error -> + add_prop(size_transform, fun(_S) -> NewSize end, Type) + end. + +%% @doc This is a predefined constraint that can be applied to random-length +%% list and binary types to ensure that the produced values are never empty. +%% +%% e.g. {@link list/0}, {@link string/0}, {@link binary/0}) +-spec non_empty(ListType::raw_type()) -> proper_types:type(). +non_empty(RawListType) -> + ?SUCHTHAT(L, RawListType, L =/= [] andalso L =/= <<>>). + +%% @doc Creates a new type which is equivalent to `Type', but whose instances +%% are never shrunk by the shrinking subsystem. +-spec noshrink(Type::raw_type()) -> proper_types:type(). +noshrink(RawType) -> + add_prop(noshrink, true, cook_outer(RawType)). + +%% @doc Associates the atom key `Parameter' with the value `Value' while +%% generating instances of `Type'. +-spec with_parameter(atom(), value(), Type::raw_type()) -> proper_types:type(). +with_parameter(Parameter, Value, RawType) -> + with_parameters([{Parameter,Value}], RawType). + +%% @doc Similar to {@link with_parameter/3}, but accepts a list of +%% `{Parameter, Value}' pairs. +-spec with_parameters([{atom(),value()}], Type::raw_type()) -> + proper_types:type(). +with_parameters(PVlist, RawType) -> + Type = cook_outer(RawType), + case find_prop(parameters, Type) of + {ok,Params} when is_list(Params) -> + append_list_to_prop(parameters, PVlist, Type); + error -> + add_prop(parameters, PVlist, Type) + end. + +%% @doc Returns the value associated with `Parameter', or `Default' in case +%% `Parameter' is not associated with any value. +-spec parameter(atom(), value()) -> value(). +parameter(Parameter, Default) -> + Parameters = + case erlang:get('$parameters') of + undefined -> []; + List -> List + end, + proplists:get_value(Parameter, Parameters, Default). + +%% @equiv parameter(Parameter, undefined) +-spec parameter(atom()) -> value(). +parameter(Parameter) -> + parameter(Parameter, undefined). 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 , +%%% Eirini Arvaniti +%%% and Kostis Sagonas +%%% +%%% 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 . + +%%% @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: +%%%
    +%%%
  • Native types cannot be used outside of `?FORALL's.
    • +%%%
  • 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).
    • +%%%
  • 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.
    • +%%%
  • 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.
    • +%%%
  • 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.
    • +%%%
  • 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()])'''
    • +%%%
  • Some type constructors can take native types as arguments (but only +%%% inside `?FORALL's): +%%%
      +%%%
    • `?SUCHTHAT', `?SUCHTHATMAYBE', `non_empty', `noshrink': these work +%%% with native types too
      • +%%%
    • `?LAZY', `?SHRINK', `resize', `?SIZED': these don't work with native +%%% types
      • +%%%
    • `?LET', `?LETSHRINK': only the top-level base type can be a native +%%% type
      • +%%%
    • +%%%
  • 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.
    • +%%%
  • 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.
    • +%%%
  • `?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{}}). ''' +%%%
    • +%%%
  • 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.
    • +%%%
  • 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.
    • +%%%
  • 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.
    • +%%%
  • 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.
    • +%%%
  • The above may cause some confusion when list syntax is used: +%%%
      +%%%
    • 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.
      • +%%%
    • 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'.
      • +%%%
    • +%%%
  • Currently, PropEr does not detect the following mistakes: +%%%
      +%%%
    • inline record-field specializations that reference non-existent +%%% fields
      • +%%%
    • type parameters that are not present in the RHS of a `-type' +%%% declaration
      • +%%%
    • using `_' as a type variable in the LHS of a `-type' declaration
      • +%%%
    • using the same variable in more than one position in the LHS of a +%%% `-type' declaration
      • +%%%
    +%%%
    • +%%%
+%%% +%%% You can use these 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, <>). + +-spec concat_binary_gens(fin_type(), fin_type()) -> fin_type(). +concat_binary_gens(HeadType, TailType) -> + ?LET({H,T}, {HeadType,TailType}, <>). + +-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)). -- cgit v1.2.3