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
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
|
%%
%% %CopyrightBegin%
%%
%% Copyright Ericsson AB 1997-2011. All Rights Reserved.
%%
%% The contents of this file are subject to the Erlang Public License,
%% Version 1.1, (the "License"); you may not use this file except in
%% compliance with the License. You should have received a copy of the
%% Erlang Public License along with this software. If not, it can be
%% retrieved online at http://www.erlang.org/.
%%
%% Software distributed under the License is distributed on an "AS IS"
%% basis, WITHOUT WARRANTY OF ANY KIND, either express or implied. See
%% the License for the specific language governing rights and limitations
%% under the License.
%%
%% %CopyrightEnd%
%%
-module(float_SUITE).
-include_lib("test_server/include/test_server.hrl").
-export([all/0, suite/0,groups/0,init_per_suite/1, end_per_suite/1,
init_per_group/2,end_per_group/2,
init_per_testcase/2,end_per_testcase/2,
fpe/1,fp_drv/1,fp_drv_thread/1,denormalized/1,match/1,
bad_float_unpack/1,cmp_zero/1, cmp_integer/1, cmp_bignum/1]).
-export([otp_7178/1]).
init_per_testcase(Func, Config) when is_atom(Func), is_list(Config) ->
Dog = ?t:timetrap(?t:minutes(3)),
[{watchdog, Dog},{testcase,Func}|Config].
end_per_testcase(_Func, Config) ->
Dog = ?config(watchdog, Config),
?t:timetrap_cancel(Dog).
suite() -> [{ct_hooks,[ts_install_cth]}].
all() ->
[fpe, fp_drv, fp_drv_thread, otp_7178, denormalized,
match, bad_float_unpack, {group, comparison}].
groups() ->
[{comparison, [parallel], [cmp_zero, cmp_integer, cmp_bignum]}].
init_per_suite(Config) ->
Config.
end_per_suite(_Config) ->
ok.
init_per_group(_GroupName, Config) ->
Config.
end_per_group(_GroupName, Config) ->
Config.
%%
%% OTP-7178, list_to_float on very small numbers should give 0.0
%% instead of exception, i.e. ignore underflow.
%%
otp_7178(suite) ->
[];
otp_7178(doc) ->
["test that list_to_float on very small numbers give 0.0"];
otp_7178(Config) when is_list(Config) ->
?line X = list_to_float("1.0e-325"),
?line true = (X < 0.00000001) and (X > -0.00000001),
?line Y = list_to_float("1.0e-325325325"),
?line true = (Y < 0.00000001) and (Y > -0.00000001),
?line {'EXIT', {badarg,_}} = (catch list_to_float("1.0e83291083210")),
ok.
%% Forces floating point exceptions and tests that subsequent, legal,
%% operations are calculated correctly. Original version by Sebastian
%% Strollo.
fpe(Config) when is_list(Config) ->
?line 0.0 = math:log(1.0),
?line {'EXIT', {badarith, _}} = (catch math:log(-1.0)),
?line 0.0 = math:log(1.0),
?line {'EXIT', {badarith, _}} = (catch math:log(0.0)),
?line 0.0 = math:log(1.0),
?line {'EXIT',{badarith,_}} = (catch 3.23e133 * id(3.57e257)),
?line 0.0 = math:log(1.0),
?line {'EXIT',{badarith,_}} = (catch 5.0/id(0.0)),
?line 0.0 = math:log(1.0),
ok.
-define(ERTS_FP_CONTROL_TEST, 0).
-define(ERTS_FP_THREAD_TEST, 1).
fp_drv(Config) when is_list(Config) ->
fp_drv_test(?ERTS_FP_CONTROL_TEST, ?config(data_dir, Config)).
fp_drv_thread(Config) when is_list(Config) ->
%% Run in a separate node since it used to crash the emulator...
?line Parent = self(),
?line DrvDir = ?config(data_dir, Config),
?line {ok,Node} = start_node(Config),
?line Tester = spawn_link(Node,
fun () ->
Parent !
{self(),
fp_drv_test(?ERTS_FP_THREAD_TEST,
DrvDir)}
end),
?line Result = receive {Tester, Res} -> Res end,
?line stop_node(Node),
?line Result.
fp_drv_test(Test, DrvDir) ->
?line Drv = fp_drv,
?line try
begin
?line case erl_ddll:load_driver(DrvDir, Drv) of
ok ->
ok;
{error, permanent} ->
ok;
{error, LoadError} ->
exit({load_error,
erl_ddll:format_error(LoadError)});
LoadError ->
exit({load_error, LoadError})
end,
case open_port({spawn, Drv}, []) of
Port when is_port(Port) ->
try port_control(Port, Test, "") of
"ok" ->
0.0 = math:log(1.0),
ok;
[$s,$k,$i,$p,$:,$ | Reason] ->
{skipped, Reason};
Error ->
exit(Error)
after
Port ! {self(), close},
receive {Port, closed} -> ok end,
false = lists:member(Port, erlang:ports()),
ok
end;
Error ->
exit({open_port_failed, Error})
end
end
catch
throw:Term -> ?line Term
after
erl_ddll:unload_driver(Drv)
end.
denormalized(Config) when is_list(Config) ->
?line Denormalized = 1.0e-307 / 1000,
?line roundtrip(Denormalized),
?line NegDenormalized = -1.0e-307 / 1000,
?line roundtrip(NegDenormalized),
ok.
roundtrip(N) ->
N = binary_to_term(term_to_binary(N)),
N = binary_to_term(term_to_binary(N, [{minor_version,1}])).
match(Config) when is_list(Config) ->
?line one = match_1(1.0),
?line two = match_1(2.0),
?line a_lot = match_1(1000.0),
?line {'EXIT',_} = (catch match_1(0.5)),
ok.
match_1(1.0) -> one;
match_1(2.0) -> two;
match_1(1000.0) -> a_lot.
%% Thanks to Per Gustafsson.
bad_float_unpack(Config) when is_list(Config) ->
?line Bin = <<-1:64>>,
?line -1 = bad_float_unpack_match(Bin),
ok.
bad_float_unpack_match(<<F:64/float>>) -> F;
bad_float_unpack_match(<<I:64/integer-signed>>) -> I.
cmp_zero(_Config) ->
cmp(0.5e-323,0).
cmp_integer(_Config) ->
Axis = (1 bsl 53)-2.0, %% The point where floating points become unprecise
span_cmp(Axis,2,200),
cmp(Axis*Axis,round(Axis)).
cmp_bignum(_Config) ->
span_cmp((1 bsl 58) - 1.0),%% Smallest bignum float
%% Test I to I+1 bignum segment overflow
[span_cmp((1 bsl (32*I)) - 1.0) || I <- lists:seq(2,30)],
cmp((1 bsl (64*16)) - 1, (1 bsl (64*15)) * 1.0),
[cmp((1 bsl (32*I)) - 1, (1 bsl (32*(I-2))) * 1.0) || I <- lists:seq(3,30)],
[cmp((1 bsl (64*15)) * 1.0, (1 bsl (32*(I)))) || I <- lists:seq(1,29)],
ok.
span_cmp(Axis) ->
span_cmp(Axis, 25).
span_cmp(Axis, Length) ->
span_cmp(Axis, round(Axis) bsr 52, Length).
span_cmp(Axis, Incr, Length) ->
[span_cmp(Axis, Incr, Length, 1 bsl (1 bsl I)) || I <- lists:seq(0,6)].
span_cmp(Axis, Incr, Length, Diff) ->
[begin
cmp(round(Axis*-1.0)+Diff+I*Incr,Axis*-1.0+I*Incr),
cmp(Axis*-1.0+I*Incr,round(Axis*-1.0)-Diff+I*Incr)
end || I <- lists:seq((Length div 2)*-1,(Length div 2))],
[begin
cmp(round(Axis)+Diff+I*Incr,Axis+I*Incr),
cmp(Axis+I*Incr,round(Axis)-Diff+I*Incr)
end || I <- lists:seq((Length div 2)*-1,(Length div 2))].
cmp(Big,Small) when is_float(Big) ->
BigGtSmall = lists:flatten(
io_lib:format("~f > ~p",[Big,Small])),
BigLtSmall = lists:flatten(
io_lib:format("~f < ~p",[Big,Small])),
SmallGtBig = lists:flatten(
io_lib:format("~p > ~f",[Small,Big])),
SmallLtBig = lists:flatten(
io_lib:format("~p < ~f",[Small,Big])),
cmp(Big,Small,BigGtSmall,BigLtSmall,SmallGtBig,SmallLtBig);
cmp(Big,Small) when is_float(Small) ->
BigGtSmall = lists:flatten(
io_lib:format("~p > ~f",[Big,Small])),
BigLtSmall = lists:flatten(
io_lib:format("~p < ~f",[Big,Small])),
SmallGtBig = lists:flatten(
io_lib:format("~f > ~p",[Small,Big])),
SmallLtBig = lists:flatten(
io_lib:format("~f < ~p",[Small,Big])),
cmp(Big,Small,BigGtSmall,BigLtSmall,SmallGtBig,SmallLtBig).
cmp(Big,Small,BigGtSmall,BigLtSmall,SmallGtBig,SmallLtBig) ->
{_,_,_,true} = {Big,Small,BigGtSmall,
Big > Small},
{_,_,_,false} = {Big,Small,BigLtSmall,
Big < Small},
{_,_,_,false} = {Big,Small,SmallGtBig,
Small > Big},
{_,_,_,true} = {Big,Small,SmallLtBig,
Small < Big}.
id(I) -> I.
start_node(Config) when is_list(Config) ->
?line Pa = filename:dirname(code:which(?MODULE)),
?line {A, B, C} = now(),
?line Name = list_to_atom(atom_to_list(?MODULE)
++ "-"
++ atom_to_list(?config(testcase, Config))
++ "-"
++ integer_to_list(A)
++ "-"
++ integer_to_list(B)
++ "-"
++ integer_to_list(C)),
?line ?t:start_node(Name, slave, [{args, "-pa "++Pa}]).
stop_node(Node) ->
?t:stop_node(Node).
|
