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typechecker_tests.erl
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%% @doc This is an eunit test suite. Run the tests using
%% eunit:test(typechecker, [verbose]).
-module(typechecker_tests).
-include_lib("eunit/include/eunit.hrl").
-include("typechecker.hrl").
%% Macro to convert type to abstract form
-define(t(T), t(??T)).
t(T) -> typelib:remove_pos(typelib:parse_type(T)).
%% Macro to convert expression to abstract form
-define(e(E), merl:quote(??E)).
subtype_test_() ->
[
%% The unknown type, both directions
?_assert(subtype(?t( any() ), ?t( 1..10 ))),
?_assert(subtype(?t( 1..10 ), ?t( any() ))),
%% remote types need gradualizer_db to be started
{setup,
fun setup_app/0,
fun cleanup_app/1,
[
%% Top and none
?_assert(subtype(?t( sets:set() ), ?t( gradualizer:top() ))),
?_assert(subtype(?t( none() ), ?t( sets:set() )))
]},
%% Integer
?_assert(subtype(?t( 1 ), ?t( 1 ))),
?_assert(subtype(?t( 1 ), ?t( integer() ))),
?_assert(subtype(?t( 1..5 ), ?t( integer() ))),
?_assert(subtype(?t( 1..5 ), ?t( 1..10 ))),
?_assert(subtype(?t( 2 ), ?t( 1..10 ))),
?_assert(subtype(?t( pos_integer() ), ?t( integer() ))),
?_assert(subtype(?t( 5 ), ?t( pos_integer() ))),
?_assert(subtype(?t( 1..5 ), ?t( pos_integer() ))),
?_assert(subtype(?t( neg_integer() ), ?t( integer() ))),
?_assert(subtype(?t( -5..-1 ), ?t( neg_integer() ))),
?_assert(subtype(?t( -5 ), ?t( neg_integer() ))),
?_assert(subtype(?t( non_neg_integer() ), ?t( integer() ))),
?_assert(subtype(?t( pos_integer() ), ?t( non_neg_integer()))),
?_assert(subtype(?t( 0..5 ), ?t( non_neg_integer()))),
?_assert(subtype(?t( 0 ), ?t( non_neg_integer()))),
%% Number
?_assert(subtype(?t( 1 ), ?t( number() ))),
?_assert(subtype(?t( 1..5 ), ?t( number() ))),
?_assert(subtype(?t( integer() ), ?t( number() ))),
?_assert(subtype(?t( float() ), ?t( number() ))),
%% Boolean
%% We support both the new boolean() and the deprecated bool()
%% and they're both equivalent.
?_assert(subtype(?t( bool() ), ?t( boolean() ))),
?_assert(subtype(?t( boolean() ), ?t( bool() ))),
%% Atom
?_assert(subtype(?t( a ), ?t( atom() ))),
?_assert(subtype(?t( a ), ?t( a ))),
%% Binary, bitstring
?_assert(subtype(?t( binary() ), ?t( bitstring() ))),
?_assert(subtype(?t( <<>> ), ?t( binary() ))),
?_assert(subtype(?t( <<>> ), ?t( bitstring() ))),
?_assert(subtype(?t( <<_:4>> ), ?t( <<_:_*2>> ))),
?_assert(subtype(?t( <<_:6,_:_*4>> ), ?t( <<_:4,_:_*2>> ))),
?_assert(subtype(?t( <<_:48>> ), ?t( binary() ))),
%% Union
?_assert(subtype(?t( b ), ?t( a|b ))),
?_assert(subtype(?t( 1|a ), ?t( integer()|atom() ))),
?_assert(subtype(?t( 1..5 ), ?t( 1..3|4..6 ))),
?_assert(subtype(?t( 1..5|a ), ?t( 1..3|4..6|atom() ))),
?_assert(subtype(?t( a|b ), ?t( atom() ))),
?_assert(subtype(?t( (A :: boolean())|(B :: boolean()) ), ?t( boolean() ))),
%% Lists
?_assert(subtype(?t( [a] ), ?t( list() ))),
?_assert(subtype(?t( list() ), ?t( [a] ))),
?_assert(subtype(?t( [] ), ?t( list() ))),
?_assert(subtype(?t( [] ), ?t( [a] ))),
?_assert(subtype(?t( [1] ), ?t( [1..5] ))),
?_assert(subtype(?t( nonempty_list() ), ?t( list() ))),
?_assert(subtype(?t( nonempty_list() ), ?t( [a] ))),
?_assert(subtype(?t( nonempty_list() ), ?t( [a, ...] ))),
?_assert(subtype(?t( [a, ...] ), ?t( [a] ))),
?_assert(subtype(?t( [] ), ?t( iolist() ))),
?_assert(subtype(?t( maybe_improper_list(byte(), binary()) ), ?t( iolist() ))),
?_assert(subtype(?t( nonempty_list() ), ?t( iodata() ))),
?_assert(subtype(?t( [byte()] ), ?t( string() ))),
%% Tuples
?_assert(subtype(?t( {a,b,c} ), ?t( tuple() ))),
?_assert(subtype(?t( tuple() ), ?t( {a,b,c} ))),
?_assert(subtype(?t( {x, 1} ), ?t( {atom(), 1..5} ))),
%% Maps
?_assert(subtype(?t( map() ), ?t( #{a := b} ))),
?_assert(subtype(?t( #{a := b} ), ?t( map() ))),
?_assert(subtype(?t( #{} ), ?t( #{a => b} ))),
?_assert(subtype(?t( #{a := b} ), ?t( #{a => b} ))),
?_assert(subtype(?t( #{a => b} ), ?t( #{a => b, c => d}))),
?_assert(subtype(?t( #{a := b, c := d} ), ?t( #{a := b, _ => _}))),
?_assert(subtype(?t( #{5 := a } ), ?t( #{1..5 := atom()}))),
?_assert(subtype(?t( #{5 := pid()} ), ?t( #{_ => pid(), 1..10 => integer()} ))),
%% Fun objects
?_assert(subtype(t("fun((...) -> integer())"), t("fun()"))),
?_assert(subtype(t("fun((...) -> integer())"), t("fun((...) -> number())"))),
?_assert(subtype(t("fun((atom()) -> integer())"), t("fun((...) -> number())"))),
%% Annotated types
?_assert(subtype(?t( integer() ), ?t( A :: number() ))),
?_assert(subtype(?t( A :: integer() ), ?t( number() ))),
?_assert(subtype(?t( A :: integer() ), ?t( A :: number() ))),
%% Type variables
?_assertEqual({true, constraints:lower('A', ?t(integer()))}, subtype_cs(?t(integer()), ?t(A))),
?_assertEqual({true, constraints:upper('A', ?t(integer()))}, subtype_cs(?t(A), ?t(integer()))),
?_assertEqual({true, constraints:lower('A', ?t(integer()))}, subtype_cs(?t([integer()]), ?t([A]))),
?_assertEqual({true, constraints:lower('A', ?t(float()))}, subtype_cs(?t({float(), true}), ?t({A, bool()}))),
?_assertEqual({true, combine_cs(
constraints:lower('A', ?t(integer())), constraints:lower('B', ?t(atom()))
)}, subtype_cs(?t({integer(), atom()}), ?t({A, B}))),
?_assertEqual({true, combine_cs([
constraints:lower('A', ?t(5)),
constraints:upper('A', ?t(integer())),
constraints:lower('B', ?t(false | true))
])}, subtype_cs(t("{fun ((integer()) -> boolean()), 5}"), t("{fun ((A) -> B), A}"))),
?_assertEqual({true, constraints:empty()}, subtype_cs(?t(integer()), ?t(A | B))),
?_assertEqual({true, constraints:lower('A', ?t(any()))}, subtype_cs(?t(any()), ?t(A))),
?_assertEqual({true, constraints:lower('A', ?t(any()))}, subtype_cs(?t(any()), ?t([A]))),
?_assertEqual({true, constraints:upper('A', ?t(any()))}, subtype_cs(?t([A]), ?t(any()))),
?_assertEqual({true, constraints:lower('A', ?t(any()))}, subtype_cs(?t(any()), ?t({A, atom()})))
].
not_subtype_test_() ->
[
%% Top and none
?_assert(subtype(?t( integer() ), ?t( gradualizer:top() ))),
?_assert(subtype(?t( none() ), ?t( integer() ))),
%% Numeric
?_assertNot(subtype(?t( 1 ), ?t( 2 ))),
?_assertNot(subtype(?t( integer() ), ?t( 1 ))),
?_assertNot(subtype(?t( integer() ), ?t( 1..5 ))),
?_assertNot(subtype(?t( 1..10 ), ?t( 1 ))),
?_assertNot(subtype(?t( 1..10 ), ?t( 1..5 ))),
?_assertNot(subtype(?t( integer() ), ?t( float() ))),
?_assertNot(subtype(?t( float() ), ?t( integer() ))),
?_assertNot(subtype(?t( number() ), ?t( integer() ))),
?_assertNot(subtype(?t( number() ), ?t( float() ))),
%% Atom
?_assertNot(subtype(?t( a ), ?t( b ))),
%% Binary, bitstring
?_assertNot(subtype(?t( bitstring() ), ?t( binary() ))),
?_assertNot(subtype(?t( bitstring() ), ?t( <<>> ))),
?_assertNot(subtype(?t( <<_:4,_:_*4>> ), ?t( <<_:6,_:_*2>> ))),
?_assertNot(subtype(?t( <<_:6,_:_*2>> ), ?t( <<_:4,_:_*4>> ))),
%% Union
?_assertNot(subtype(?t( a|b ), ?t( b ))),
%% Lists
?_assertNot(subtype(?t( [] ), ?t( nonempty_list() ))),
?_assertNot(subtype(?t( [] ), ?t( [a, ...] ))),
?_assertNot(subtype(?t( list() ), ?t( nonempty_list() ))),
?_assertNot(subtype(?t( [a] ), ?t( nonempty_list() ))),
?_assertNot(subtype(?t( [a] ), ?t( [a, ...] ))),
?_assertNot(subtype(?t( [b] ), ?t( [a] ))),
%% Tuples
?_assertNot(subtype(?t( {} ), ?t( {any()} ))),
?_assertNot(subtype(?t( {1..2, 3..4} ), ?t( {1, 3} ))),
%% Maps
?_assertNot(subtype(?t( #{} ), ?t( #{a := b} ))),
?_assertNot(subtype(?t( #{a => b} ), ?t( #{a := b} ))),
?_assertNot(subtype(?t( #{a := 1..5} ), ?t( #{a := 2} ))),
?_assertNot(subtype(?t( #{1 := atom()} ), ?t( #{1 := a} ))),
%% TODO: We're not capable of handling maps with overlapping keys yet.
%?_assertNot(subtype(?t( #{5 := pid()} ), ?t( #{1..10 => integer(), _ => pid()} )))
%% Type variables
?_assertNot(subtype_cs(?t( integer() ), ?t( [A] ))),
?_assertNot(subtype_cs(?t( {a, b} ), ?t( {A, c} )))
].
-define(glb(T1, T2, R),
[ ?_assertEqual(deep_normalize(R), deep_normalize(glb(T1, T2))),
?_assertEqual(deep_normalize(R), deep_normalize(glb(T2, T1))) ]).
glb_test_() ->
Ts = [ ?t(any()), ?t(none()), ?t(gradualizer:top()), ?t(tuple()), ?t(atom) ],
[
%% any()
[ ?glb( ?t(any()), T, ?t(any()) ) || T <- Ts, T /= ?t(none()) ],
[ ?glb( ?t(gradualizer:top()), T, T) || T <- Ts ],
[ ?glb( ?t(none()), T, ?t(none()) ) || T <- Ts ],
%% Integer types
?glb( ?t(-5..10), ?t(2..3 | 5..15), ?t(2..3 | 5..10) ),
?glb( ?t(neg_integer()), ?t(non_neg_integer()), ?t(none()) ),
%% Atoms
?glb( ?t(a | b), ?t(atom()), ?t(a | b) ),
?glb( ?t(a), ?t(atom()), ?t(a) ),
?glb( ?t(b), ?t(a | b), ?t(b) ),
%% Lists
[ ?glb( ?t(maybe_improper_list(gradualizer:top(), gradualizer:top())), T, deep_normalize(T) ) ||
T <- [ ?t([]), ?t([integer()]), ?t(list()),
?t([atom, ...]),
?t(maybe_improper_list(tuple(), _)),
?t(maybe_improper_list(a | b, tail)),
?t(nonempty_improper_list(number(), [] | tail)) ] ],
?glb( ?t(maybe_improper_list(a, b)), ?t([a]), ?t(none()) ),
?glb( ?t([]), ?t([a, ...]), ?t(none()) ),
?glb( ?t([]), ?t(nonempty_improper_list(a, b | [])), ?t(none()) ),
%% Tuples
[ ?glb( ?t(tuple()), T, T ) || T <- [?t(tuple()), ?t({}), ?t({integer()}),
?t({a, {}})] ],
?glb( ?t({a, b}), ?t({a, b, _}), ?t(none()) ),
?glb( ?t({number(), a | c}), ?t({float() | x, a | b}), ?t({float(), a}) ),
%% Records
?glb( ?t(#r{}), ?t(tuple()), ?t(#r{}) ),
?glb( ?t(#r{}), ?t(#s{}), ?t(none()) ),
%% Maps
?glb( ?t(map()), ?t(#{a := integer()}), ?t(#{a := integer()}) ),
?glb( ?t(#{ a := integer() }), ?t(#{ b := float() }), ?t(none()) ),
?glb( ?t(#{ a := 1 }), ?t(#{ a := integer() }), ?t(#{ a := 1 }) ),
?glb( ?t(#{ a := pos_integer() }), ?t(#{ a := integer() }), ?t(#{ a := pos_integer() }) ),
?glb( ?t(#{ a := b }), ?t(#{ a := b }), ?t(#{ a := b }) ),
?glb( ?t(#{ integer() => integer() }), ?t(#{ 1..5 => 1..5, foo => bar }), ?t(#{ 1..5 => 1..5 }) ),
%% Binary types
?glb( ?t(binary()), ?t(<<_:_*32>>), ?t(<<_:_*32>>) ),
?glb( ?t(<<_:4, _:_*8>>), ?t(<<_:12, _:_*8>>), ?t(<<_:12, _:_*8>>) ),
?glb( ?t(<<_:4, _:_*8>>), ?t(<<_:7, _:_*8>>), ?t(none()) ),
?glb( ?t(<<_:4, _:_*8>>), ?t(<<_:_*12>>), ?t(none()) ), %% glb is really <<_:12, _:_*24>>
%% Functions
?glb( t("fun((integer(), number()) -> a | b)"),
t("fun((number(), number()) -> b | c)"),
t("fun((number(), number()) -> b)")),
?glb( t("fun((integer(), number()) -> a | b)"),
t("fun((number(), float()) -> b | c)"),
?t(none()) ), %% Should be same as previous
?glb( t("fun((...) -> a | b)"),
t("fun((...) -> b | c)"),
t("fun((...) -> b)")),
?glb( t("fun((...) -> a | b)"),
t("fun((number(), number()) -> b | c)"),
t("fun((number(), number()) -> b)")),
%% Annotated types
?glb( ?t(X :: integer()), ?t(number()), ?t(integer()) ),
?_assert(true)
].
%% Call to glb never returns
glb_issue_test_() ->
{setup,
fun setup_app/0,
fun cleanup_app/1,
[?_assertMatch(Result when is_tuple(Result),
glb( ?t([erl_parse:abstract_type()]),
{type,0,list,[{type,0,union,[{ann_type,0,[{var,891,'Name'},{user_type,[{file,"erl_parse.erl"},{location,0}],af_atom,[]}]},
{user_type,[{file,"erl_parse.erl"},{location,0}],af_record_field_type,[]}]}]}
)
)
]}.
normalize_test_() ->
[
{"Merge intervals",
?_assertEqual(?t( 1..6 ),
typechecker:normalize(?t( 1..3|4..6 ), test_lib:create_env([])))},
{"Remove singleton atoms if atom() is present",
?_assertEqual(?t( atom() ),
typechecker:normalize(?t( a | atom() | b ), test_lib:create_env([])))},
{"Evaluate numeric operators in types",
%% ?t(-8) is parsed as {op,0,'-',{integer,0,8}}
?_assertEqual({integer, 0 , -8},
typechecker:normalize(?t( (bnot 3) *
(( + 7 ) rem ( 5 div - 2 ) ) bxor
(1 bsl 6 bsr 4) ), test_lib:create_env([])))},
{"normalize(boolean()) == normalize(normalize(boolean))",
?_assertEqual(typechecker:normalize(?t( boolean() ), test_lib:create_env([])),
typechecker:normalize(typechecker:normalize(?t( boolean() ),
test_lib:create_env([])),
test_lib:create_env([])))
},
{"normalize(union()) == normalize(normalize(union()))",
?_test(begin
Env = test_lib:create_env("-type t1() :: {} | t1().", []),
?assertEqual( typechecker:normalize(?t( t1() ), Env),
typechecker:normalize(typechecker:normalize(?t( t1() ), Env), Env) )
end)}
].
unfold_bounded_type_test() ->
OrigSpecStr =
"-spec unzip(List1) -> {List2, List3} when\n"
" List1 :: [{A, B}],\n"
" List2 :: [A],\n"
" List3 :: [B],\n"
" A :: term(),\n"
" B :: term().",
ExpectedTypeStr =
"fun(([{A, B}]) -> {[A], [B]})",
{attribute, _, spec, {{unzip, 1}, [BoundedFun]}} = merl:quote(OrigSpecStr),
Env = test_lib:create_env([]),
UnfoldedType = typechecker:unfold_bounded_type(Env, BoundedFun),
UnfoldedTypeStr = typelib:pp_type(UnfoldedType),
?assertEqual(ExpectedTypeStr, UnfoldedTypeStr).
normalize_e2e_test_() ->
[
{"Normalize local user types",
%% arg and return type should be both resolved to list(atom())
?_assert(type_check_forms(["-type inner(T) :: list(T).",
"-type outer(T) :: inner(T).",
"-spec f(inner(atom())) -> outer(atom()).",
"f(A) -> A."]))},
{"Normalize integer ops in user types",
?_assert(type_check_forms(["-type one() :: -1 | +1.",
"-type int16() :: -1 bsl 15..(1 bsl 15) - 1.",
"-spec f(one(), int16()) -> {one(), int16()}.",
"f(A, B) -> {A, B}."]))},
{"Normalize tuple of any arity and map with any associations in user types",
?_assert(type_check_forms(["-type t() :: tuple() | map().",
"-spec f(t()) -> t().",
"f(A) -> A."]))},
{"Normalize literals in user types",
?_assert(type_check_forms(["-type t() :: foo | 1.", %% | $a (char literal)
%% added in OTP 20
"-spec f(t()) -> t().",
"f(A) -> A."]))},
{"Normalize fun with any args",
%% matching [] as arg is needed to enforce checking if
%% [] is subtype of normalised t()
?_assertNot(type_check_forms(["-type t() :: fun((...) -> integer()).",
"-spec f(t()) -> integer().",
"f([]) -> 1."]))}
].
propagate_types_test_() ->
%% Checking type_check_expr, which propagates type information
%% and infers types of literals and language constructs.
[%% the inferred type of a literal tuple
?_assertEqual("{1, 2}",
type_check_expr(_Env = "",
_Expr = "{1, 2}")),
%% the inferred type of a tuple with a untyped function call
?_assertMatch("{1, any()}",
type_check_expr(_Env = "h() -> 2.",
_Expr = "{1, h()}")),
%% the inferred type of a tuple with a typed function call
?_assertMatch("{1, integer()}",
type_check_expr(_Env = "-spec h() -> integer().",
_Expr = "{1, h()}")),
%% List. The element type is the union of the element types.
?_assertMatch("[1..3, ...]",
type_check_expr(_Env = "-spec a() -> 1.\n"
"-spec b() -> 2.\n"
"-spec c() -> 3.",
_Expr = "[a(), b(), c()]")),
%% Fun.
?_assertMatch("fun((any(), any()) -> any())",
type_check_expr(_Env = "",
_Expr = "fun (_A, _B) ->\n"
" receive C -> C end\n"
"end")),
?_assertMatch("fun((any(), any()) -> integer())",
type_check_expr(_Env = "-spec i(integer()) -> integer().",
_Expr = "fun (A, B) -> i(B) end")),
?_assertMatch("fun((any(), any()) -> integer())",
type_check_expr(_Env = "-spec i(integer()) -> integer().",
_Expr = "fun F(A, B) -> i(B) end")),
%% inferred type of boolean negation
?_assertMatch("any()",
type_check_expr(_Env = "-spec f() -> any().",
_Expr = "not f()")),
%% (returns a normalised type, in this case of boolean())
?_assertMatch("false | true",
type_check_expr(_Env = "-spec f() -> boolean().",
_Expr = "not f()")),
?_assertMatch("false",
type_check_expr(_Env = "-spec f() -> true.",
_Expr = "not f()")),
%% inferred type of number negation
?_assertMatch("any()",
type_check_expr(_Env = "-spec f() -> any().",
_Expr = "- f()")),
?_assertMatch("float()",
type_check_expr(_Env = "-spec f() -> float().",
_Expr = "- f()")),
?_assertMatch("integer()",
type_check_expr(_Env = "-spec f() -> integer().",
_Expr = "- f()")),
?_assertMatch("1",
type_check_expr(_Env = "-spec f() -> -1.",
_Expr = "- f()")),
?_assertMatch("-3..1",
type_check_expr(_Env = "-spec f() -> -1..(1+2).",
_Expr = "- f()")),
?_assertMatch("neg_integer() | 0",
type_check_expr(_Env = "-spec f() -> non_neg_integer().",
_Expr = "- f()")),
?_assertMatch("-7..-5 | -3..-1",
type_check_expr(_Env = "-spec f() -> 1..3 | 5..7.",
_Expr = "- f()")),
?_assertMatch("-2..-1 | non_neg_integer()",
type_check_expr(_Env = "-spec f() -> neg_integer() | 0..2.",
_Expr = "- f()"))
].
type_check_in_test_() ->
%% Test checking an expression against a known type
%% implemented by the function typechecker:type_check_expr_in.
[
?_assert(type_check_forms(["-spec f(float() | foo) -> ok.",
"g() -> f(3.14)."])),
?_assertNot(type_check_forms(["-spec f(foo) -> ok.",
"g() -> f(3.14)."])),
%% Although there is no spec for f/1 - inferred type is `fun((any()) -> any())'
?_assert(type_check_forms(["f(_) -> 42.",
"-spec g() -> fun((integer()) -> integer()).",
"g() -> fun f/1."])),
%% Although there is no spec for f/1 - inferred arity does not match
?_assertNot(type_check_forms(["-spec g() -> fun(() -> integer()).",
"g() -> fun f/1.",
"f(_) -> ok."]))
].
infer_types_test_() ->
%% Checking type_check_expr with inference
[?_assertEqual("{1, [101 | 104 | 108 | 111, ...], [], banana, float(), $c}",
type_check_expr(_Env = "",
_Expr = "{1, \"hello\", \"\", banana, 3.14, $c}")),
%% the inferred type of a tuple with a untyped function call
%% should be any()
?_assertMatch("{1, any()}",
type_check_expr(_Env = "h() -> 2.",
_Expr = "{1, h()}")),
%% the inferred type of a tuple with a typed function call
?_assertMatch("{1, integer()}",
type_check_expr(_Env = "-spec h() -> integer().",
_Expr = "{1, h()}")),
%% catch a type error that isn't caught without this inference.
?_assertNot(type_check_forms(["f() -> V = [1, 2], g(V).",
"-spec g(integer()) -> any().",
"g(Int) -> Int + 1."])),
%% infer exact type of bitstrings
?_assertMatch("<<_:7, _:_*16>>",
type_check_expr(_Env = "f() -> receive X -> X end.",
_Expr = "<<(f())/utf16, 7:7>>")),
%% infer exact type of strings
?_assertMatch("[$0..$c, ...]",
type_check_expr(_Env = "",
_Expr = "\"0123456789abc\"")),
%% infer exact type of record index
?_assertMatch("2",
type_check_expr(_Env = "-record(r, {f}).",
_Expr = "#r.f"))
].
type_check_call_test_() ->
[%% Return type of a function call expr must be a subtype of expected result type
?_assert(type_check_forms(["-spec f() -> number().",
"f() -> g().",
"-spec g() -> integer()."])),
?_assertNot(type_check_forms(["-spec f() -> integer().",
"f() -> g().",
"-spec g() -> number()."])),
%% Passing an incompatible type to a spec'ed function
?_assertNot(type_check_forms(["-spec int_top() -> gradualizer:top().",
"int_top() -> 5.",
"-spec int_arg(integer()) -> integer().",
"int_arg(I) -> I + 1.",
"f() -> int_arg(int_top())."]))
].
type_check_fun_test_() ->
[%% Anonimous fun - union fun type
?_assert(type_check_forms(["-spec f() -> fun() | fun().",
"f() -> fun(A) -> A end."])),
%% Anonimous fun - union + any fun type
?_assert(type_check_forms(["-spec f(fun() | fun()) -> fun().",
"f(F) -> F = fun(A) -> A end."])),
%% Named fun - union fun type
?_assert(type_check_forms(["-spec f() -> fun() | fun().",
"f() -> fun NF(A) -> A end."])),
%% Named fun - union + any fun type
?_assert(type_check_forms(["-spec f(fun() | fun()) -> fun().",
"f(F) -> F = fun NF(A) -> A end."])),
?_assert(type_check_forms(["-spec f(fun() | fun()) -> any().",
"f(F) -> F()."])),
%% Fun application with wrong number of arguments
?_assertNot(type_check_forms(["-spec f(fun((integer()) -> integer())) -> any().",
"f(F) -> F()."])),
%% Calling multiclause fun
?_assert(type_check_forms(["-spec g(integer()) -> integer();",
" (atom()) -> atom().",
"-spec f() -> {integer(), atom()}.",
"f() -> {g(1), g(a)}."])),
%% Applying fun with any args
?_assert(type_check_forms(["-spec f(fun((...) -> integer())) -> integer().",
"f(F) -> F(1, 2)."]))
].
type_check_clause_test_() ->
[%% Basic `if' test, X can be any term as guards don't have to return boolean().
?_assert(type_check_forms(["-spec f(gradualizer:top()) -> boolean().",
"f(X) ->",
" if X -> false;",
" false -> true",
" end."])),
%% Each clause must return a subtype of ResType (atom())
?_assertNot(type_check_forms(["-spec f(gradualizer:top()) -> atom().",
"f(X) ->",
" if X -> 1;",
" false -> a",
" end."])),
%% The try block has to return ResTy atom()
?_assertNot(type_check_forms(["-spec f(gradualizer:top()) -> atom().",
"f(X) ->",
" try 1",
" catch _ -> error",
" end."])),
%% The try clause has to return ResTy atom(),
%% but it returns the return type of g() via pattern matching
?_assertNot(type_check_forms(["-spec f(gradualizer:top()) -> atom().",
"f(X) ->",
" try g() of G -> G",
" catch _ -> error",
" end.",
"-spec g() -> float()."])),
%% The catch clause has to return ResTy integer()
?_assertNot(type_check_forms(["-spec f(gradualizer:top()) -> integer().",
"f(X) ->",
" try 1",
" catch _ -> error",
" end."])),
%% erlang:throw/1 needs gradualizer_db to be started
{setup,
fun setup_app/0,
fun cleanup_app/1,
[
%% The return type of the after clause is ignored
?_assert(type_check_forms(["-spec f(gradualizer:top()) -> integer().",
"f(X) ->",
" try throw(error)",
" after error",
" end."]))
]},
%% Correct try without an after block
?_assert(type_check_forms(["-spec f(gradualizer:top()) -> atom().",
"f(X) ->",
" try ok",
" catch _ -> error",
" end."])),
%% should emit: "The clause on line 3 is expected to have 1 argument(s) but it has 0
?_assertNot(type_check_forms(["-spec h() -> fun((integer()) -> atom()).",
"h() ->",
" fun() -> ok end."]))
].
add_type_pat_test_() ->
[{"Pattern matching list against any()",
?_assert(type_check_forms(["f([E|_]) -> E."]))},
{"Pattern matching record against any()",
?_assert(type_check_forms(["-record(r, {f}).",
"f(#r{f = F}) -> F."]))},
?_assertEqual(?t(a), type_pat(?e(a), ?t(a))),
?_assertEqual(?t(a), type_pat(?e(Var), ?t(a))),
?_assertEqual(?t(42), type_pat(?e(42), ?t(integer()))),
?_assertEqual(?t(integer()), type_pat(?e(Var), ?t(integer()))),
?_assertEqual(?t({3, true}), type_pat(?e({3, true}), ?t({integer(), boolean()}))),
?_assertEqual(?t({3, boolean()}), type_pat(?e({3, _}), ?t({integer(), boolean()}))),
?_assertThrow({type_error, pattern, _, {atom, _, a}, {atom, _, b}},
type_pat(?e(a), ?t(b))),
%% Maps
?_assertEqual(?t(#{}), type_pat(?e(#{}), ?t(#{}))),
?_assertEqual(?t(#{x := a}), type_pat(?e(#{x := a}), ?t(#{x := a}))),
?_assertEqual(?t(#{x := a}), type_pat(?e(Var), ?t(#{x := a}))),
?_assertEqual(?t(#{x := a}), type_pat(?e(#{}), ?t(#{x := a}))),
?_assertEqual(?t(#{x := a, y := b}), type_pat(?e(#{}), ?t(#{x := a, y := b}))),
?_assertEqual(?t(#{x := a, y := b}), type_pat(?e(#{x := a}), ?t(#{x := a, y := b}))),
?_assertEqual(?t(#{x := a, y := b}), type_pat(?e(#{x := a, y := b}), ?t(#{x := a, y := b}))),
?_assertEqual(?t(#{x := a}), type_pat(?e(#{x := a}), ?t(#{x => a}))),
?_assertEqual(?t(#{x => a}), type_pat(?e(Var), ?t(#{x => a}))),
?_assertEqual(?t(#{x => a}), type_pat(?e(#{}), ?t(#{x => a}))),
?_assertEqual(?t(#{x := a}), type_pat(?e(#{x := a}), ?t(#{x := a|b}))),
?_assertEqual(?t(#{x := a}), type_pat(?e(#{x := a}), ?t(#{x => a|b}))),
?_assertEqual(?t(#{x := 1}), type_pat(?e(#{x := 1}), ?t(#{x => 1..3}))),
?_assertEqual(?t(#{x => a, y := b}), type_pat(?e(#{}), ?t(#{x => a, y := b}))),
?_assertEqual(?t(#{x := a, y := b}), type_pat(?e(#{x := a}), ?t(#{x => a, y := b}))),
?_assertEqual(?t(#{y := b, x => a}), type_pat(?e(#{y := b}), ?t(#{x => a, y := b}))),
?_assertEqual(?t(#{x := 42}), type_pat(?e(#{x := 42}), ?t(#{x := integer()}))),
?_assertEqual(?t(#{x := integer()}), type_pat(?e(#{x := Var}), ?t(#{x := integer()}))),
?_assertEqual(?t(#{y := b, x => a}), type_pat(?e(#{y := b}), ?t(#{x => a, y => b} | #{z := c}))),
?_assertEqual(?t(#{y := b, x => a}), type_pat(?e(#{y := b}), ?t(#{x => a, y => b} | #{y := c, z := c}))),
?_assertEqual(?t(#{y := b, x => a} | #{y := b, z := c}),
type_pat(?e(#{y := b}), ?t(#{x => a, y => b} | #{y := b, z := c}))),
?_assertEqual(?t(none()), type_pat(?e(#{x := a}), ?t(any()))),
?_assertEqual(?t(none()), type_pat(?e(#{}), ?t(any()))),
?_assertEqual(?t(#{x := a, y => a}), type_pat(?e(#{x := a}), ?t(#{x|y := a}))),
?_assertEqual(?t(#{x := a, y => a}), type_pat(?e(#{x := a}), ?t(#{x|y => a}))),
?_assertEqual(?t(#{x := a, atom() => a}),
type_pat(?e(#{x := a}), ?t(#{atom() := a}))),
?_assertEqual(?t(#{x := a, atom() => a}),
type_pat(?e(#{x := a}), ?t(#{atom() => a}))),
?_assertEqual(?t(#{x := a, y => a|b}),
type_pat(?e(#{x := a}), ?t(#{x|y := a|b}))),
?_assertEqual(?t(#{x := a, y => a|b, z => c}),
type_pat(?e(#{x := a}), ?t(#{x|y := a|b, z => c}))),
?_assertEqual(?t(#{x := a, y := a, atom() => a}),
type_pat(?e(#{x := a, y := a}), ?t(#{atom() => a}))),
?_assertEqual(?t(#{x := a, y := a}),
type_pat(?e(#{x := a, y := a}), ?t(#{x|y => a}))),
?_assertEqual(?t(#{x := a, y := a, atom() => a}),
type_pat(?e(#{x := a, y := a}), ?t(#{x|y => a, atom() => a}))),
?_assertEqual(?t(none()), type_pat(?e(#{"abc" := abc}), ?t(#{string() => atom()}))),
?_assertThrow({type_error, pattern, _, {atom, _, b}, {atom, _, a}},
type_pat(?e(#{x := b}), ?t(#{x := a}))),
?_assertThrow({type_error, badkey, {atom, _, y}, _MapTy},
type_pat(?e(#{y := c}), ?t(#{x := a})))
].
type_diff_test_() ->
{setup,
fun setup_app/0,
fun cleanup_app/1,
[{"Can refine a union with another union",
?_assertEqual(?t( a1 | b | b1 | c | c1 | d ),
typechecker:type_diff(?t( (a | a1) | (b | b1) | (c | c1) | (d | d1) ),
?t( a | d1), gradualizer:env()))},
?_assertEqual(?t(none()),
typechecker:type_diff(?t(#{x := integer()}),
?t(#{x := integer()}),
gradualizer:env())),
?_assertEqual(?t(#{}),
typechecker:type_diff(?t(#{x => integer()}),
?t(#{x := integer()}),
gradualizer:env())),
?_assertEqual(?t(none()),
typechecker:type_diff(?t(#{x => integer()}),
?t(#{x => integer()}),
gradualizer:env())),
?_assertEqual(?t(#{x := b}),
typechecker:type_diff(?t(#{x := a|b}),
?t(#{x := a}),
gradualizer:env())),
?_assertEqual(?t(#{x => b}),
typechecker:type_diff(?t(#{x => a|b}),
?t(#{x := a}),
gradualizer:env())),
?_assertEqual(?t(#{x := 2..3}),
typechecker:type_diff(?t(#{x := 1..3}),
?t(#{x := 1}),
gradualizer:env())),
?_assertEqual(?t(none()),
typechecker:type_diff(?t(#{x := a, y := b}),
?t(#{x := a, y := b}),
gradualizer:env())),
?_assertEqual(?t(none()),
typechecker:type_diff(?t(#{x := a, y := b}),
?t(#{y := b, x := a}),
gradualizer:env())),
?_assertEqual(?t(#{x := b, y := c}),
typechecker:type_diff(?t(#{x := a|b, y := c}),
?t(#{x := a, y := c}),
gradualizer:env())),
?_assertEqual(?t(#{x := b, y => c} | #{x := a|b}),
typechecker:type_diff(?t(#{x := a|b, y => c}),
?t(#{x := a, y := c}),
gradualizer:env())),
?_assertEqual(?t(#{x := b, y => c|d} | #{x := a|b, y => d}),
typechecker:type_diff(?t(#{x := a|b, y => c|d}),
?t(#{x := a, y := c}),
gradualizer:env())),
?_assertEqual(?t(#{x => b, y := c}),
typechecker:type_diff(?t(#{x => a|b, y := c}),
?t(#{x := a, y := c}),
gradualizer:env())),
?_assertEqual(?t(#{y => b}),
typechecker:type_diff(?t(#{x => a, y => b}),
?t(#{x := a, y => b}),
gradualizer:env())),
?_assertEqual(?t(#{y => a}),
typechecker:type_diff(?t(#{x|y => a}),
?t(#{x := a, y => a}),
gradualizer:env())),
?_assertEqual(?t(none()),
typechecker:type_diff(?t(#{x|y => a}),
?t(#{x => a, y => a}),
gradualizer:env())),
?_assertEqual(?t(#{x => a|b, y => b} | #{x => b, y => a|b}),
typechecker:type_diff(?t(#{x|y => a|b}),
?t(#{x := a, y := a}),
gradualizer:env())),
?_assertEqual(?t(#{y := b}),
typechecker:type_diff(?t(#{x := atom()} | #{y := b}),
?t(#{x := atom()}),
gradualizer:env())),
% disjoint
?_assertEqual(?t(#{x := a}),
typechecker:type_diff(?t(#{x := a}),
?t(#{y := a}),
gradualizer:env())),
% has non-singleton required key
?_assertEqual(?t(#{x|y := a}),
typechecker:type_diff(?t(#{x|y := a}),
?t(#{x := a}),
gradualizer:env()))
]}.
variances_test_() ->
[
?_assertEqual(#{}, type_vars_variances(?t(integer()))),
?_assertEqual(#{}, type_vars_variances(?t({integer(), boolean()}))),
?_assertEqual(#{}, type_vars_variances(?t([atom()]))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(?t(X))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(?t({integer(), X}))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(?t([X]))),
?_assertEqual(#{'A' => covariant, 'X' => covariant}, type_vars_variances(?t([A | {abc, X} | d] | number()))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(?t({X, X}))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(?t({X, integer(), X}))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(?t({a, X} | {b, X}))),
?_assertEqual(#{'X' => contravariant}, type_vars_variances(t("fun ((X) -> boolean())"))),
?_assertEqual(#{'X' => contravariant}, type_vars_variances(t("fun ((X, integer()) -> boolean())"))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(t("fun ((boolean()) -> X)"))),
?_assertEqual(#{'X' => contravariant, 'Y' => covariant}, type_vars_variances(t("fun ((X) -> Y)"))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(t("fun ((...) -> X)"))),
?_assertEqual(#{'X' => covariant}, type_vars_variances(t("fun (() -> X)"))),
?_assertEqual(#{'X' => invariant}, type_vars_variances(t("fun ((X) -> X)"))),
?_assertEqual(#{'X' => invariant}, type_vars_variances(t("{boolean(), fun ((X) -> X)}"))),
?_assertEqual(#{'X' => invariant}, type_vars_variances(t("{X, fun ((X) -> X)}"))),
?_assertEqual(#{'X' => invariant, 'Y' => contravariant, 'Z' => covariant},
type_vars_variances(t("{fun ((Y) -> X), fun ((X) -> Z)}")))
].
minimal_substitution1_test() ->
%% id(5)
Cs = constraints:lower('X', ?t(5)),
?assertEqual(#{'X' => ?t(5)}, typechecker:minimal_substitution(Cs, ?t(X))).
minimal_substitution2_test() ->
%% lists:filter(fun even/1, [1, 13, 42])
Cs = constraints:combine([
constraints:upper('A', ?t(integer())),
constraints:lower('A', ?t(1)),
constraints:lower('A', ?t(13)),
constraints:lower('A', ?t(42))
], gradualizer:env()),
?assertEqual(#{'A' => ?t(1 | 13 | 42)}, typechecker:minimal_substitution(Cs, ?t([A]))).
minimal_substitution3_test() ->
%% lists:map(fun math:log/1, [1, 3.14])
Cs = constraints:combine([
constraints:upper('A', ?t(number())),
constraints:lower('B', ?t(float())),
constraints:lower('A', ?t(1)),
constraints:lower('A', ?t(float()))
], gradualizer:env()),
?assertEqual(#{'B' => ?t(float())}, typechecker:minimal_substitution(Cs, ?t([B]))).
minimal_substitution4_test() ->
%% invariant case with multiple substitutions
Cs = constraints:combine([
constraints:upper('A', ?t(number())),
constraints:lower('A', ?t(integer()))
], gradualizer:env()),
?assertEqual(#{'A' => ?t(integer() | any())},
typechecker:minimal_substitution(Cs, t("{fun ((A) -> bool()), A}"))).
minimal_substitution5_test() ->
%% invariant case with a single substitution
Cs = constraints:combine([
constraints:upper('A', ?t(number())),
constraints:lower('A', ?t(number()))
], gradualizer:env()),
?assertEqual(#{'A' => ?t(number())},
typechecker:minimal_substitution(Cs, t("{fun ((A) -> bool()), A}"))).
%%
%% Helper functions
%%
setup_app() ->
{ok, Apps} = application:ensure_all_started(gradualizer),
Apps.
cleanup_app(Apps) ->
[ok = application:stop(App) || App <- Apps],
ok.
subtype(T1, T2) ->
typechecker:subtype(T1, T2, test_lib:create_env([])).
subtype_cs(T1, T2) ->
typechecker:subtype_with_constraints(T1, T2, test_lib:create_env([])).
combine_cs(Cs1, Cs2) ->
constraints:combine(Cs1, Cs2, test_lib:create_env([])).
combine_cs(Css) ->
constraints:combine(Css, test_lib:create_env([])).
glb(T1, T2) ->
glb(T1, T2, test_lib:create_env([])).
glb(T1, T2, Env) ->
typechecker:glb(T1, T2, Env).
deep_normalize(T) ->
deep_normalize(T, test_lib:create_env([])).
deep_normalize(T, TEnv) ->
case typechecker:normalize(T, TEnv) of
{type, P, N, Args} when is_list(Args) ->
{type, P, N, [ deep_normalize(A, TEnv) || A <- Args ]};
TN -> TN
end.
type_check_forms(String) ->
type_check_forms(String, []).
type_check_forms(String, Opts) ->
[] =:= typechecker:type_check_forms(gradualizer_lib:ensure_form_list(merl:quote(String)), Opts).
type_check_expr(EnvStr, ExprString) ->
type_check_expr(EnvStr, ExprString, []).
type_check_expr(EnvStr, ExprString, Opts) ->
Env = test_lib:create_env(EnvStr, Opts),
Expr = merl:quote(ExprString),
{Ty, _VarBinds} = typechecker:type_check_expr(Env, Expr),
typelib:pp_type(Ty).
type_pat(Pat, Ty) ->
{[PatTy], _UBounds, _Env} =
typechecker:add_types_pats([Pat], [Ty], gradualizer:env(), capture_vars),
PatTy.
type_vars_variances(Type) ->
typechecker:type_vars_variances(Type).