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
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
|
%%% -*- erlang-indent-level: 2 -*-
%%%-------------------------------------------------------------------
%%% File : basic_num_bif.erl
%%% Description : Taken from the compiler test suite
%%%-------------------------------------------------------------------
-module(basic_num_bif).
-export([test/0]).
%% Tests optimization of the BIFs:
%% abs/1
%% float/1
%% float_to_list/1
%% integer_to_list/1
%% list_to_float/1
%% list_to_integer/1
%% round/1
%% trunc/1
test() ->
Funs = [fun t_abs/0, fun t_float/0,
fun t_float_to_list/0, fun t_integer_to_list/0,
fun t_list_to_float_safe/0, fun t_list_to_float_risky/0,
fun t_list_to_integer/0, fun t_round/0, fun t_trunc/0],
lists:foreach(fun (F) -> ok = F() end, Funs).
t_abs() ->
%% Floats.
5.5 = abs(5.5),
0.0 = abs(0.0),
100.0 = abs(-100.0),
%% Integers.
5 = abs(5),
0 = abs(0),
100 = abs(-100),
%% The largest smallnum. OTP-3190.
X = (1 bsl 27) - 1,
X = abs(X),
X = abs(X-1)+1,
X = abs(X+1)-1,
X = abs(-X),
X = abs(-X-1)-1,
X = abs(-X+1)+1,
%% Bignums.
BigNum = 13984792374983749,
BigNum = abs(BigNum),
BigNum = abs(-BigNum),
ok.
t_float() ->
0.0 = float(0),
2.5 = float(2.5),
0.0 = float(0.0),
-100.55 = float(-100.55),
42.0 = float(42),
-100.0 = float(-100),
%% Bignums.
4294967305.0 = float(4294967305),
-4294967305.0 = float(-4294967305),
%% Extremely big bignums.
Big = list_to_integer(lists:duplicate(2000, $1)),
{'EXIT', {badarg, _}} = (catch float(Big)),
ok.
%% Tests float_to_list/1.
t_float_to_list() ->
test_ftl("0.0e+0", 0.0),
test_ftl("2.5e+1", 25.0),
test_ftl("2.5e+0", 2.5),
test_ftl("2.5e-1", 0.25),
test_ftl("-3.5e+17", -350.0e15),
ok.
test_ftl(Expect, Float) ->
%% No on the next line -- we want the line number from t_float_to_list.
Expect = remove_zeros(lists:reverse(float_to_list(Float)), []).
%% Removes any non-significant zeros in a floating point number.
%% Example: 2.500000e+01 -> 2.5e+1
remove_zeros([$+, $e|Rest], [$0, X|Result]) ->
remove_zeros([$+, $e|Rest], [X|Result]);
remove_zeros([$-, $e|Rest], [$0, X|Result]) ->
remove_zeros([$-, $e|Rest], [X|Result]);
remove_zeros([$0, $.|Rest], [$e|Result]) ->
remove_zeros(Rest, [$., $0, $e|Result]);
remove_zeros([$0|Rest], [$e|Result]) ->
remove_zeros(Rest, [$e|Result]);
remove_zeros([Char|Rest], Result) ->
remove_zeros(Rest, [Char|Result]);
remove_zeros([], Result) ->
Result.
%% Tests integer_to_list/1.
t_integer_to_list() ->
"0" = integer_to_list(0),
"42" = integer_to_list(42),
"-42" = integer_to_list(-42),
"-42" = integer_to_list(-42),
"32768" = integer_to_list(32768),
"268435455" = integer_to_list(268435455),
"-268435455" = integer_to_list(-268435455),
"123456932798748738738" = integer_to_list(123456932798748738738),
Big_List = lists:duplicate(2000, $1),
Big = list_to_integer(Big_List),
Big_List = integer_to_list(Big),
ok.
%% Tests list_to_float/1.
t_list_to_float_safe() ->
0.0 = list_to_float("0.0"),
0.0 = list_to_float("-0.0"),
0.5 = list_to_float("0.5"),
-0.5 = list_to_float("-0.5"),
100.0 = list_to_float("1.0e2"),
127.5 = list_to_float("127.5"),
-199.5 = list_to_float("-199.5"),
ok.
%% This might crash the emulator...
%% (Known to crash the Unix version of Erlang 4.4.1)
t_list_to_float_risky() ->
Many_Ones = lists:duplicate(25000, $1),
_ = list_to_float("2."++Many_Ones),
{'EXIT', {badarg, _}} = (catch list_to_float("2"++Many_Ones)),
ok.
%% Tests list_to_integer/1.
t_list_to_integer() ->
0 = list_to_integer("0"),
0 = list_to_integer("00"),
0 = list_to_integer("-0"),
1 = list_to_integer("1"),
-1 = list_to_integer("-1"),
42 = list_to_integer("42"),
-12 = list_to_integer("-12"),
32768 = list_to_integer("32768"),
268435455 = list_to_integer("268435455"),
-268435455 = list_to_integer("-268435455"),
%% Bignums.
123456932798748738738 = list_to_integer("123456932798748738738"),
_ = list_to_integer(lists:duplicate(2000, $1)),
ok.
%% Tests round/1.
t_round() ->
0 = round(0.0),
0 = round(0.4),
1 = round(0.5),
0 = round(-0.4),
-1 = round(-0.5),
255 = round(255.3),
256 = round(255.6),
-1033 = round(-1033.3),
-1034 = round(-1033.6),
%% OTP-3722:
X = (1 bsl 27) - 1,
MX = -X,
MXm1 = -X-1,
MXp1 = -X+1,
F = X + 0.0,
X = round(F),
X = round(F+1)-1,
X = round(F-1)+1,
MX = round(-F),
MXm1 = round(-F-1),
MXp1 = round(-F+1),
X = round(F+0.1),
X = round(F+1+0.1)-1,
X = round(F-1+0.1)+1,
MX = round(-F+0.1),
MXm1 = round(-F-1+0.1),
MXp1 = round(-F+1+0.1),
X = round(F-0.1),
X = round(F+1-0.1)-1,
X = round(F-1-0.1)+1,
MX = round(-F-0.1),
MXm1 = round(-F-1-0.1),
MXp1 = round(-F+1-0.1),
0.5 = abs(round(F+0.5)-(F+0.5)),
0.5 = abs(round(F-0.5)-(F-0.5)),
0.5 = abs(round(-F-0.5)-(-F-0.5)),
0.5 = abs(round(-F+0.5)-(-F+0.5)),
%% Bignums.
4294967296 = round(4294967296.1),
4294967297 = round(4294967296.9),
-4294967296 = -round(4294967296.1),
-4294967297 = -round(4294967296.9),
ok.
t_trunc() ->
0 = trunc(0.0),
5 = trunc(5.3333),
-10 = trunc(-10.978987),
%% The largest smallnum, converted to float (OTP-3722):
X = (1 bsl 27) - 1,
F = X + 0.0,
%% io:format("X = ~p/~w/~w, F = ~p/~w/~w, trunc(F) = ~p/~w/~w~n",
%% [X, X, binary_to_list(term_to_binary(X)),
%% F, F, binary_to_list(term_to_binary(F)),
%% trunc(F), trunc(F), binary_to_list(term_to_binary(trunc(F)))]),
X = trunc(F),
X = trunc(F+1)-1,
X = trunc(F-1)+1,
X = -trunc(-F),
X = -trunc(-F-1)-1,
X = -trunc(-F+1)+1,
%% Bignums.
4294967305 = trunc(4294967305.7),
-4294967305 = trunc(-4294967305.7),
ok.
|