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+-module(simple1_api).
+
+-export([t1/1, adt_t1/1, t2/1, adt_t2/1, tup/0, t3/0, t4/0, t5/0, t6/0, t7/0,
+ t8/0, adt_t3/0, adt_t4/0, adt_t7/0, adt_t8/0, adt_t5/0,
+ c1/2, c2/2, c2/0, c3/0, c4/0, tt1/0, tt2/0,
+ cmp1/0, cmp2/0, cmp3/0, cmp4/0,
+ ty_cmp1/0, ty_cmp2/0, ty_cmp3/0, ty_cmp4/0,
+ f1/0, f2/0, adt_f1/0, adt_f2/0, f3/0, f4/0, adt_f3/0, adt_f4/0,
+ adt_f4_a/0, adt_f4_b/0,
+ bool_t1/0, bool_t2/0, bool_t3/0, bool_t4/0, bool_t5/1, bool_t6/1,
+ bool_t7/0, bool_adt_t1/0, bool_adt_t2/0, bool_adt_t5/1,
+ bool_adt_t6/1, bool_t8/0, bool_adt_t8/2, bool_t9/0, bool_adt_t9/2,
+ bit_t1/0, bit_adt_t1/0, bit_t3/1, bit_adt_t2/0, bit_adt_t3/1,
+ bit_t5/1, bit_t4/1, bit_adt_t4/1, bit_t5/0, bit_adt_t5/0,
+ call_f/1, call_f_adt/1, call_m_adt/1, call_m/1, call_f_i/1,
+ call_m_i/1, call_m_adt_i/1, call_f_adt_i/1,
+ eq1/0, eq2/0, c5/0, c6/2, c7/2, c8/0]).
+
+%%% Equal opaque types
+
+-export_type([o1/0, o2/0]).
+
+-export_type([d1/0, d2/0]).
+
+-opaque o1() :: a | b | c.
+
+-opaque o2() :: a | b | c.
+
+-export_type([i1/0, i2/0, di1/0, di2/0]).
+
+-export_type([b1/0, b2/0]).
+
+-export_type([bit1/0]).
+
+-export_type([a/0, i/0]).
+
+%% The derived spec is
+%% -spec t1('a' | 'b') -> simple1_api:o1('a') | simple1_api:o2('a').
+%% but that is not tested...
+
+t1(a) ->
+ o1();
+t1(b) ->
+ o2().
+
+-spec o1() -> o1().
+
+o1() -> a.
+
+-spec o2() -> o2().
+
+o2() -> a.
+
+%% The derived spec is
+%% -spec adt_t1('a' | 'b') -> simple1_adt:o1('a') | simple1_adt:o2('a').
+%% but that is not tested...
+
+adt_t1(a) ->
+ simple1_adt:o1();
+adt_t1(b) ->
+ simple1_adt:o2().
+
+%%% Disjunct opaque types
+
+-opaque d1() :: a | b | c.
+
+-opaque d2() :: d | e | f.
+
+%% -spec t2('a' | 'b') -> simple1_api:d1('a') | simple1_api:d2('d').
+
+t2(a) ->
+ d1();
+t2(b) ->
+ d2().
+
+-spec d1() -> d1().
+
+d1() -> a.
+
+-spec d2() -> d2().
+
+d2() -> d.
+
+%% -spec adt_t2('a' | 'b') -> simple1_adt:d1('a') | simple1_adt:d2('d').
+
+adt_t2(a) ->
+ simple1_adt:d1();
+adt_t2(b) ->
+ simple1_adt:d2().
+
+-spec tup() -> simple1_adt:tuple1(). % invalid type spec
+
+tup() ->
+ {a, b}.
+
+%%% Matching equal opaque types with different names
+
+t3() ->
+ A = n1(),
+ B = n2(),
+ A = A, % OK, of course
+ A = B. % OK since o1() and o2() are local opaque types
+
+t4() ->
+ A = n1(),
+ B = n2(),
+ true = A =:= A, % OK, of course
+ A =:= B. % OK since o1() and o2() are local opaque types
+
+t5() ->
+ A = d1(),
+ B = d2(),
+ A =:= B. % can never evaluate to true
+
+t6() ->
+ A = d1(),
+ B = d2(),
+ A = B. % can never succeed
+
+t7() ->
+ A = d1(),
+ B = d2(),
+ A =/= B. % OK (always true?)
+
+t8() ->
+ A = d1(),
+ B = d2(),
+ A /= B. % OK (always true?)
+
+-spec n1() -> o1().
+
+n1() -> a.
+
+-spec n2() -> o2().
+
+n2() -> a.
+
+adt_t3() ->
+ A = simple1_adt:n1(),
+ B = simple1_adt:n2(),
+ true = A =:= A, % OK.
+ A =:= B. % opaque test, not OK
+
+adt_t4() ->
+ A = simple1_adt:n1(),
+ B = simple1_adt:n2(),
+ A = A, % OK
+ A = B. % opaque terms
+
+adt_t7() ->
+ A = simple1_adt:n1(),
+ B = simple1_adt:n2(),
+ false = A =/= A, % OK
+ A =/= B. % opaque test, not OK
+
+adt_t8() ->
+ A = simple1_adt:n1(),
+ B = simple1_adt:n2(),
+ false = A /= A, % OK
+ A /= B. % opaque test, not OK
+
+adt_t5() ->
+ A = simple1_adt:c1(),
+ B = simple1_adt:c2(),
+ A =:= B. % opaque test, not OK
+
+%% Comparison in guard
+
+-spec c1(simple1_adt:d1(), simple1_adt:d2()) -> boolean().
+
+c1(A, B) when A =< B -> true. % succ type of A and B is any() (type spec is OK)
+
+-spec c2(simple1_adt:d1(), simple1_adt:d2()) -> boolean().
+
+c2(A, B) ->
+ if A =< B -> true end. % succ type of A and B is any() (type spec is OK)
+
+c2() ->
+ A = simple1_adt:d1(),
+ B = simple1_adt:d2(),
+ if A =< B -> ok end. % opaque terms
+
+c3() ->
+ B = simple1_adt:d2(),
+ if a =< B -> ok end. % opaque term
+
+c4() ->
+ A = simple1_adt:d1(),
+ if A =< d -> ok end. % opaque term
+
+tt1() ->
+ A = o1(),
+ is_integer(A). % OK
+
+tt2() ->
+ A = simple1_adt:d1(),
+ is_integer(A). % breaks the opacity
+
+%% Comparison with integers
+
+-opaque i1() :: 1 | 2.
+
+-opaque i2() :: 1 | 2.
+
+-opaque di1() :: 1 | 2.
+
+-opaque di2() :: 3 | 4.
+
+-spec i1() -> i1().
+
+i1() -> 1.
+
+-type ty_i1() :: 1 | 2.
+
+-spec ty_i1() -> ty_i1().
+
+ty_i1() -> 1.
+
+cmp1() ->
+ A = i1(),
+ if A > 3 -> ok end. % can never succeed
+
+cmp2() ->
+ A = simple1_adt:i1(),
+ if A > 3 -> ok end. % opaque term
+
+cmp3() ->
+ A = i1(),
+ if A < 3 -> ok end.
+
+cmp4() ->
+ A = simple1_adt:i1(),
+ if A < 3 -> ok end. % opaque term
+
+%% -type
+
+ty_cmp1() ->
+ A = ty_i1(),
+ if A > 3 -> ok end. % can never succeed
+
+ty_cmp2() ->
+ A = simple1_adt:ty_i1(),
+ if A > 3 -> ok end. % can never succeed
+
+ty_cmp3() ->
+ A = ty_i1(),
+ if A < 3 -> ok end.
+
+ty_cmp4() ->
+ A = simple1_adt:ty_i1(),
+ if A < 3 -> ok end.
+
+%% is_function
+
+f1() ->
+ T = n1(),
+ if is_function(T) -> ok end. % can never succeed
+
+f2() ->
+ T = n1(),
+ is_function(T). % ok
+
+adt_f1() ->
+ T = simple1_adt:n1(),
+ if is_function(T) -> ok end. % breaks the opacity
+
+adt_f2() ->
+ T = simple1_adt:n1(),
+ is_function(T). % breaks the opacity
+
+f3() ->
+ A = i1(),
+ T = n1(),
+ if is_function(T, A) -> ok end. % can never succeed
+
+f4() ->
+ A = i1(),
+ T = n1(),
+ is_function(T, A). % ok
+
+adt_f3() ->
+ A = simple1_adt:i1(),
+ T = simple1_adt:n1(),
+ if is_function(T, A) -> ok end. % breaks the opacity
+
+adt_f4() ->
+ A = simple1_adt:i1(),
+ T = simple1_adt:n1(),
+ is_function(T, A). % breaks the opacity
+
+adt_f4_a() ->
+ A = simple1_adt:i1(),
+ T = n1(),
+ is_function(T, A). % opaque term
+
+
+adt_f4_b() ->
+ A = i1(),
+ T = simple1_adt:n1(),
+ is_function(T, A). % breaks the opacity
+
+%% A few Boolean examples
+
+bool_t1() ->
+ B = b2(),
+ if B -> ok end. % B =:= true can never succeed
+
+bool_t2() ->
+ A = b1(),
+ B = b2(),
+ if A and not B -> ok end.
+
+bool_t3() ->
+ A = b1(),
+ if not A -> ok end. % can never succeed
+
+bool_t4() ->
+ A = n1(),
+ if not ((A >= 1) and not (A < 1)) -> ok end. % can never succeed
+
+-spec bool_t5(i1()) -> integer().
+
+bool_t5(A) ->
+ if [not (A > 1)] =:=
+ [false]-> 1 end.
+
+-spec bool_t6(b1()) -> integer().
+
+bool_t6(A) ->
+ if [not A] =:=
+ [false]-> 1 end.
+
+-spec bool_t7() -> integer().
+
+bool_t7() ->
+ A = i1(),
+ if [not A] =:= % cannot succeed
+ [false]-> 1 end.
+
+bool_adt_t1() ->
+ B = simple1_adt:b2(),
+ if B -> ok end. % opaque term
+
+bool_adt_t2() ->
+ A = simple1_adt:b1(),
+ B = simple1_adt:b2(),
+ if A and not B -> ok end. % opaque term
+
+-spec bool_adt_t5(simple1_adt:i1()) -> integer().
+
+bool_adt_t5(A) ->
+ if [not (A > 1)] =:= % succ type of A is any() (type spec is OK)
+ [false]-> 1 end.
+
+-spec bool_adt_t6(simple1_adt:b1()) -> integer(). % invalid type spec
+
+bool_adt_t6(A) ->
+ if [not A] =:= % succ type of A is 'true'
+ [false]-> 1 end.
+
+-spec bool_t8() -> integer().
+
+bool_t8() ->
+ A = i1(),
+ if [A and A] =:= % cannot succeed
+ [false]-> 1 end.
+
+-spec bool_adt_t8(simple1_adt:b1(), simple1_adt:b2()) -> integer(). % invalid
+
+bool_adt_t8(A, B) ->
+ if [A and B] =:=
+ [false]-> 1 end.
+
+-spec bool_t9() -> integer().
+
+bool_t9() ->
+ A = i1(),
+ if [A or A] =:= % cannot succeed
+ [false]-> 1 end.
+
+-spec bool_adt_t9(simple1_adt:b1(), simple1_adt:b2()) -> integer(). % invalid
+
+bool_adt_t9(A, B) ->
+ if [A or B] =:=
+ [false]-> 1 end.
+
+-opaque b1() :: boolean().
+
+-opaque b2() :: boolean().
+
+-spec b1() -> b1().
+
+b1() -> true.
+
+-spec b2() -> b2().
+
+b2() -> false.
+
+%% Few (very few...) examples with bit syntax
+
+bit_t1() ->
+ A = i1(),
+ <<100:(A)>>.
+
+bit_adt_t1() ->
+ A = simple1_adt:i1(),
+ <<100:(A)>>. % breaks the opacity
+
+bit_t3(A) ->
+ B = i1(),
+ case none:none() of
+ <<A:B>> -> 1
+ end.
+
+bit_adt_t2() ->
+ A = simple1_adt:i1(),
+ case <<"hej">> of
+ <<_:A>> -> ok % breaks the opacity (but the message is strange)
+ end.
+
+
+bit_adt_t3(A) ->
+ B = simple1_adt:i1(),
+ case none:none() of
+ <<A: % breaks the opacity (the message is less than perfect)
+ B>> -> 1
+ end.
+
+bit_t5(A) ->
+ B = o1(),
+ case none:none() of % the type is any(); should fix that XXX
+ <<A:B>> -> 1 % can never match (local opaque type is OK)
+ end.
+
+-spec bit_t4(<<_:1>>) -> integer().
+
+bit_t4(A) ->
+ Sz = i1(),
+ case A of
+ <<_:Sz>> -> 1
+ end.
+
+-spec bit_adt_t4(<<_:1>>) -> integer().
+
+bit_adt_t4(A) ->
+ Sz = simple1_adt:i1(),
+ case A of
+ <<_:Sz>> -> 1 % breaks the opacity
+ end.
+
+bit_t5() ->
+ A = bit1(),
+ case A of
+ <<_/binary>> -> 1
+ end.
+
+bit_adt_t5() ->
+ A = simple1_adt:bit1(),
+ case A of
+ <<_/binary>> -> 1 % breaks the opacity
+ end.
+
+-opaque bit1() :: binary().
+
+-spec bit1() -> bit1().
+
+bit1() ->
+ <<"hej">>.
+
+%% Calls with variable module or function
+
+call_f(A) ->
+ A = a(),
+ foo:A(A).
+
+call_f_adt(A) ->
+ A = simple1_adt:a(),
+ foo:A(A). % breaks the opacity
+
+call_m(A) ->
+ A = a(),
+ A:foo(A).
+
+call_m_adt(A) ->
+ A = simple1_adt:a(),
+ A:foo(A). % breaks the opacity
+
+-opaque a() :: atom().
+
+-opaque i() :: integer().
+
+-spec a() -> a().
+
+a() ->
+ e.
+
+call_f_i(A) ->
+ A = i(),
+ foo:A(A). % A is not atom() but i()
+
+call_f_adt_i(A) ->
+ A = simple1_adt:i(),
+ foo:A(A). % A is not atom() but simple1_adt:i()
+
+call_m_i(A) ->
+ A = i(),
+ A:foo(A). % A is not atom() but i()
+
+call_m_adt_i(A) ->
+ A = simple1_adt:i(),
+ A:foo(A). % A is not atom() but simple1_adt:i()
+
+-spec eq1() -> integer().
+
+eq1() ->
+ A = simple1_adt:d2(),
+ B = simple1_adt:d1(),
+ if
+ A == B -> % opaque terms
+ 0;
+ A == A ->
+ 1;
+ A =:= A -> % compiler finds this one cannot match
+ 2;
+ true -> % compiler finds this one cannot match
+ 3
+ end.
+
+eq2() ->
+ A = simple1_adt:d1(),
+ if
+ {A} >= {A} ->
+ 1;
+ A >= 3 -> % opaque term
+ 2;
+ A == 3 -> % opaque term
+ 3;
+ A =:= 3 -> % opaque term
+ 4;
+ A == A ->
+ 5;
+ A =:= A -> % compiler finds this one cannot match
+ 6
+ end.
+
+c5() ->
+ A = simple1_adt:d1(),
+ A < 3. % opaque term
+
+c6(A, B) ->
+ A = simple1_adt:d1(),
+ B = simple1_adt:d1(),
+ A =< B. % same type - no warning
+
+c7(A, B) ->
+ A = simple1_adt:d1(),
+ B = simple1_adt:d2(),
+ A =< B. % opaque terms
+
+c8() ->
+ D = digraph:new(),
+ E = ets:new(foo, []),
+ if {D, a} > {D, E} -> true; % OK
+ {1.0, 2} > {{D}, {E}} -> true; % OK
+ {D, 3} > {D, E} -> true % opaque term 2
+ end.
+
+-spec i() -> i().
+
+i() ->
+ 1.