1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
|
%%
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 2019. All Rights Reserved.
%%
%% Licensed under the Apache License, Version 2.0 (the "License");
%% you may not use this file except in compliance with the License.
%% You may obtain a copy of the License at
%%
%% http://www.apache.org/licenses/LICENSE-2.0
%%
%% Unless required by applicable law or agreed to in writing, software
%% distributed under the License is distributed on an "AS IS" BASIS,
%% WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
%% See the License for the specific language governing permissions and
%% limitations under the License.
%%
%% %CopyrightEnd%
%%
-module(beam_types_SUITE).
-include_lib("compiler/src/beam_types.hrl").
-export([all/0, suite/0, groups/0,
init_per_suite/1, end_per_suite/1]).
-export([absorption/1,
associativity/1,
commutativity/1,
idempotence/1,
identity/1]).
-export([binary_absorption/1,
integer_absorption/1,
integer_associativity/1]).
suite() ->
[{ct_hooks,[ts_install_cth]}].
all() ->
[{group,property_tests},
binary_absorption,
integer_absorption,
integer_associativity].
groups() ->
[{property_tests,[parallel],
[absorption,
associativity,
commutativity,
idempotence,
identity]}].
init_per_suite(Config) ->
ct_property_test:init_per_suite(Config).
end_per_suite(Config) ->
Config.
absorption(Config) when is_list(Config) ->
%% manual test: proper:quickcheck(beam_types_prop:absorption()).
true = ct_property_test:quickcheck(beam_types_prop:absorption(), Config).
associativity(Config) when is_list(Config) ->
%% manual test: proper:quickcheck(beam_types_prop:associativity()).
true = ct_property_test:quickcheck(beam_types_prop:associativity(), Config).
commutativity(Config) when is_list(Config) ->
%% manual test: proper:quickcheck(beam_types_prop:commutativity()).
true = ct_property_test:quickcheck(beam_types_prop:commutativity(), Config).
idempotence(Config) when is_list(Config) ->
%% manual test: proper:quickcheck(beam_types_prop:idempotence()).
true = ct_property_test:quickcheck(beam_types_prop:idempotence(), Config).
identity(Config) when is_list(Config) ->
%% manual test: proper:quickcheck(beam_types_prop:identity()).
true = ct_property_test:quickcheck(beam_types_prop:identity(), Config).
binary_absorption(Config) when is_list(Config) ->
%% These binaries should meet into {binary,12} as that's the best common
%% unit for both types.
A = #t_bitstring{unit=4},
B = #t_bitstring{unit=6},
#t_bitstring{unit=12} = beam_types:meet(A, B),
#t_bitstring{unit=2} = beam_types:join(A, B),
A = beam_types:meet(A, beam_types:join(A, B)),
A = beam_types:join(A, beam_types:meet(A, B)),
ok.
integer_absorption(Config) when is_list(Config) ->
%% Integers that don't overlap at all should never meet.
A = #t_integer{elements={2,3}},
B = #t_integer{elements={4,5}},
none = beam_types:meet(A, B),
#t_integer{elements={2,5}} = beam_types:join(A, B),
A = beam_types:meet(A, beam_types:join(A, B)),
A = beam_types:join(A, beam_types:meet(A, B)),
ok.
integer_associativity(Config) when is_list(Config) ->
A = #t_integer{elements={3,5}},
B = #t_integer{elements={4,6}},
C = #t_integer{elements={5,5}},
%% a ∨ (b ∨ c) = (a ∨ b) ∨ c,
LHS_Join = beam_types:join(A, beam_types:join(B, C)),
RHS_Join = beam_types:join(beam_types:join(A, B), C),
#t_integer{elements={3,6}} = LHS_Join = RHS_Join,
%% a ∧ (b ∧ c) = (a ∧ b) ∧ c.
LHS_Meet = beam_types:meet(A, beam_types:meet(B, C)),
RHS_Meet = beam_types:meet(beam_types:meet(A, B), C),
#t_integer{elements={5,5}} = LHS_Meet = RHS_Meet,
ok.
|