aboutsummaryrefslogtreecommitdiffstats
path: root/erts/emulator/test/big_SUITE.erl
blob: 37e90df60e749d2f07442cbccdab2a5ddcb845fe (plain) (blame)
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
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
%%
%% %CopyrightBegin%
%% 
%% Copyright Ericsson AB 1997-2011. 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(big_SUITE).


-export([all/0, suite/0, groups/0]).

-export([t_div/1, eq_28/1, eq_32/1, eq_big/1, eq_math/1, big_literals/1,
	 borders/1, negative/1, big_float_1/1, big_float_2/1,
	 shift_limit_1/1, powmod/1, system_limit/1, toobig/1, otp_6692/1]).

%% Internal exports.
-export([eval/1]).
-export([init/3]).

-export([fac/1, fib/1, pow/2, gcd/2, lcm/2]).


-include_lib("common_test/include/ct.hrl").

suite() ->
    [{ct_hooks,[ts_install_cth]},
     {timetrap, {minutes, 3}}].

all() -> 
    [t_div, eq_28, eq_32, eq_big, eq_math, big_literals,
     borders, negative, {group, big_float}, shift_limit_1,
     powmod, system_limit, toobig, otp_6692].

groups() -> 
    [{big_float, [], [big_float_1, big_float_2]}].

%%
%% Syntax of data files:
%% Expr1 = Expr2.
%% ...
%% built in functions are:
%% fac(N).
%% fib(N).
%% pow(X, N)  == X ^ N
%% gcd(Q, R) 
%% lcm(Q, R)
%%
eq_28(Config) when is_list(Config) ->
    TestFile = test_file(Config, "eq_28.dat"),
    test(TestFile).

eq_32(Config) when is_list(Config) ->
    TestFile = test_file(Config, "eq_32.dat"),
    test(TestFile).

eq_big(Config) when is_list(Config) ->
    TestFile = test_file(Config, "eq_big.dat"),
    test(TestFile).

eq_math(Config) when is_list(Config) ->
    TestFile = test_file(Config, "eq_math.dat"),
    test(TestFile).


borders(doc) -> "Tests border cases between small/big.";
borders(Config) when is_list(Config) ->
    TestFile = test_file(Config, "borders.dat"),
    test(TestFile).

negative(Config) when is_list(Config) ->
    TestFile = test_file(Config, "negative.dat"),
    test(TestFile).
    

%% Find test file
test_file(Config, Name) ->
    DataDir = ?config(data_dir, Config),
    filename:join(DataDir, Name).

%%
%%
%% Run test on file test_big_seq.erl
%%
%%
test(File) ->
    test(File, [node()]).

test(File, Nodes) ->
    ?line {ok,Fd} = file:open(File, [read]),
    Res = test(File, Fd, Nodes),
    file:close(Fd),
    case Res of
	{0,Cases} -> {comment, integer_to_list(Cases) ++ " cases"};
	{_,_} -> ct:fail("failed")
    end.

test(File, Fd, Ns) ->
    test(File, Fd, Ns, 0, 0, 0).

test(File, Fd, Ns, L, Cases, Err) ->
    case io:parse_erl_exprs(Fd, '') of
	{eof,_} -> {Err, Cases};
	{error, {Line,_Mod,Message}, _} ->
	    Fmt = erl_parse:format_error(Message),
	    io:format("~s:~w: error ~s~n", [File, Line+L, Fmt]),
	    {Err+1, Cases};
	{ok, [{match,ThisLine,Expr1,Expr2}], Line} ->
	    case multi_match(Ns, {op,0,'-',Expr1,Expr2}) of
		[] ->
		    test(File, Fd, Ns, Line+L-1,Cases+1, Err);
		[_|_] ->
		    PP = erl_pp:expr({op,0,'=/=',Expr1,Expr2}),
		    io:format("~s:~w : error ~s~n", [File,ThisLine+L, PP]),
		    test(File, Fd, Ns, Line+L-1,Cases+1, Err+1)
	    end;
	{ok, Exprs, Line} ->
	    PP = erl_pp:exprs(Exprs),
	    io:format("~s: ~w: equation expected not ~s~n", [File,Line+L,PP]),
	    test(File, Fd, Ns, Line+L-1,Cases+1, Err+1)
    end.

multi_match(Ns, Expr) ->
    multi_match(Ns, Expr, []).

multi_match([Node|Ns], Expr, Rs) ->
    ?line X = rpc:call(Node, big_SUITE, eval, [Expr]),
    if X == 0 -> multi_match(Ns, Expr, Rs);
       true -> multi_match(Ns, Expr, [{Node,X}|Rs])
    end;
multi_match([], _, Rs) -> Rs.

eval(Expr) ->
    LFH = fun(Name, As) -> apply(?MODULE, Name, As) end,

    %% Applied arithmetic BIFs.
    {value,V,_} = erl_eval:expr(Expr, [], {value,LFH}),

    %% Real arithmetic instructions.
    V = eval(Expr, LFH),

    V.

%% Like a subset of erl_eval:expr/3, but uses real arithmetic instructions instead of
%% applying them (it does make a difference).

eval({op,_,Op,A0}, LFH) ->
    A = eval(A0, LFH),
    Res = eval_op(Op, A),
    erlang:garbage_collect(),
    Res;
eval({op,_,Op,A0,B0}, LFH) ->
    [A,B] = eval_list([A0,B0], LFH),
    Res = eval_op(Op, A, B),
    erlang:garbage_collect(),
    Res;
eval({integer,_,I}, _) -> I;
eval({call,_,{atom,_,Local},Args0}, LFH) ->
    Args = eval_list(Args0, LFH),
    LFH(Local, Args).

eval_list([E|Es], LFH) ->
    [eval(E, LFH)|eval_list(Es, LFH)];
eval_list([], _) -> [].

eval_op('-', A) -> -A;
eval_op('+', A) -> +A;
eval_op('bnot', A) -> bnot A.

eval_op('-', A, B) -> A - B;
eval_op('+', A, B) -> A + B;
eval_op('*', A, B) -> A * B;
eval_op('div', A, B) -> A div B;
eval_op('rem', A, B) -> A rem B;
eval_op('band', A, B) -> A band B;
eval_op('bor', A, B) -> A bor B;
eval_op('bxor', A, B) -> A bxor B;
eval_op('bsl', A, B) -> A bsl B;
eval_op('bsr', A, B) -> A bsr B.

%% Built in test functions

fac(0) -> 1;
fac(1) -> 1;
fac(N) -> N * fac(N-1).

%%
%% X ^ N
%%
pow(_, 0) -> 1;
pow(X, 1) -> X;
pow(X, N) when (N band 1) == 1 ->
    X2 = pow(X, N bsr 1),
    X*X2*X2;
pow(X, N) ->
    X2 = pow(X, N bsr 1),
    X2*X2.

fib(0) -> 1;
fib(1) -> 1;
fib(N) -> fib(N-1) + fib(N-2).

%%
%% Gcd 
%%
gcd(Q, 0) -> Q;
gcd(Q, R) -> gcd(R, Q rem R).

%%
%% Least common multiple
%%
lcm(Q, R) ->
    Q*R div gcd(Q, R).


%% Test case t_div cut in from R2D test suite.

t_div(Config) when is_list(Config) ->
    ?line 'try'(fun() -> 98765432101234 div 98765432101235 end, 0),

    % Big remainder, small quotient.
    ?line 'try'(fun() -> 339254531512 div 68719476736 end, 4),
    ok.

'try'(Fun, Result) ->
    'try'(89, Fun, Result, []).

'try'(0, _, _, _) ->
    ok;
'try'(Iter, Fun, Result, Filler) ->
    spawn(?MODULE, init, [self(), Fun, list_to_tuple(Filler)]),
    receive
	{result, Result} ->
	    'try'(Iter-1, Fun, Result, [0|Filler]);
	{result, Other} ->
	    ct:fail("Expected ~p; got ~p~n", [Result, Other])
    end.

init(ReplyTo, Fun, _Filler) ->
    ReplyTo ! {result, Fun()}.

big_literals(doc) ->
    "Tests that big-number literals work correctly.";
big_literals(Config) when is_list(Config) ->
    %% Note: The literal test cannot be compiler on a pre-R4 Beam emulator,
    %% so we compile it now.
    ?line DataDir = ?config(data_dir, Config),
    ?line Test = filename:join(DataDir, "literal_test"),
    ?line {ok, Mod, Bin} = compile:file(Test, [binary]),
    ?line {module, Mod} = code:load_binary(Mod, Mod, Bin),
    ?line ok = Mod:t(),
    ok.


big_float_1(doc) ->
    ["OTP-2436, part 1"];
big_float_1(Config) when is_list(Config) ->
    %% F is a number very close to a maximum float.
    ?line F = id(1.7e308),
    ?line I = trunc(F),
    ?line true = (I == F),
    ?line false = (I /= F),
    ?line true = (I > F/2),
    ?line false = (I =< F/2),
    ?line true = (I*2 >= F),
    ?line false = (I*2 < F),
    ?line true = (I*I > F),
    ?line false = (I*I =< F),

    ?line true = (F == I),
    ?line false = (F /= I),
    ?line false = (F/2 > I),
    ?line true = (F/2 =< I),
    ?line false = (F >= I*2),
    ?line true = (F < I*2),
    ?line false = (F > I*I),
    ?line true = (F =< I*I),
    ok.

big_float_2(doc) ->
    ["OTP-2436, part 2"];
big_float_2(Config) when is_list(Config) ->
    ?line F = id(1.7e308),
    ?line I = trunc(F),
    ?line {'EXIT', _} = (catch 1/(2*I)),
    ?line _Ignore = 2/I,
    ?line {'EXIT', _} = (catch 4/(2*I)),
    ok.

shift_limit_1(doc) ->
    ["OTP-3256"];
shift_limit_1(Config) when is_list(Config) ->
    ?line case catch (id(1) bsl 100000000) of
	      {'EXIT', {system_limit, _}} ->
		  ok
	  end,
    ok.

powmod(Config) when is_list(Config) ->
    A = 1696192905348584855517250509684275447603964214606878827319923580493120589769459602596313014087329389174229999430092223701630077631205171572331191216670754029016160388576759960413039261647653627052707047,
    B = 43581177444506616087519351724629421082877485633442736512567383077022781906420535744195118099822189576169114064491200598595995538299156626345938812352676950427869649947439032133573270227067833308153431095,
    C = 52751775381034251994634567029696659541685100826881826508158083211003576763074162948462801435204697796532659535818017760528684167216110865807581759669824808936751316879636014972704885388116861127856231,
    42092892863788727404752752803608028634538446791189806757622214958680350350975318060071308251566643822307995215323107194784213893808887471095918905937046217646432382915847269148913963434734284563536888 = powmod(A, B, C),
    ok.

powmod(A, 1, C) ->
    A rem C;
powmod(A, 2, C) ->
    A*A rem C;
powmod(A, B, C) ->
    B1 = B div 2,
    B2 = B - B1,
    P = powmod(A, B1, C),
    case B2 of
	B1 ->
	    (P*P) rem C;
	_  -> 
	    (P*P*A) rem C
    end.

system_limit(Config) when is_list(Config) ->
    ?line Maxbig = maxbig(),
    ?line {'EXIT',{system_limit,_}} = (catch Maxbig+1),
    ?line {'EXIT',{system_limit,_}} = (catch -Maxbig-1),
    ?line {'EXIT',{system_limit,_}} = (catch 2*Maxbig),
    ?line {'EXIT',{system_limit,_}} = (catch bnot Maxbig),
    ?line {'EXIT',{system_limit,_}} = (catch apply(erlang, id('bnot'), [Maxbig])),
    ?line {'EXIT',{system_limit,_}} = (catch Maxbig bsl 2),
    ?line {'EXIT',{system_limit,_}} = (catch apply(erlang, id('bsl'), [Maxbig,2])),
    ?line {'EXIT',{system_limit,_}} = (catch id(1) bsl (1 bsl 45)),
    ?line {'EXIT',{system_limit,_}} = (catch id(1) bsl (1 bsl 69)),
    ok.

maxbig() ->
    %% We assume that the maximum arity is (1 bsl 19) - 1.
    Ws = erlang:system_info(wordsize),
    (((1 bsl ((16777184 * (Ws div 4))-1)) - 1) bsl 1) + 1.

id(I) -> I.

toobig(Config) when is_list(Config) ->
    ?line {'EXIT',{{badmatch,_},_}} = (catch toobig()),
    ok.

toobig() ->
    A = erlang:term_to_binary(lists:seq(1000000, 2200000)),
    ASize = erlang:bit_size(A),
    <<ANr:ASize>> = A, % should fail
    ANr band ANr.

otp_6692(suite) ->
    [];
otp_6692(doc) ->
    ["Tests for DIV/REM bug reported in OTP-6692"];
otp_6692(Config) when is_list(Config)->
    ?line loop1(1,1000).

fact(N) ->
     fact(N,1).

fact(0,P) -> P;
fact(N,P) -> fact(N-1,P*N).

raised(X,1) ->
    X;
raised(X,N) ->
    X*raised(X,N-1).

loop1(M,M) ->
    ok;
loop1(N,M) ->
    loop2(fact(N),raised(7,7),1,8),
    loop1(N+1,M).

loop2(_,_,M,M) ->
    ok;
loop2(X,Y,N,M) ->
    Z = raised(Y,N),
    case X rem Z of
	Z ->
	    exit({failed,X,'REM',Z,'=',Z});
	0 ->
	    case (X div Z) * Z of
		X ->
		    ok;
		Wrong ->
		    exit({failed,X,'DIV',Z,'*',Z,'=',Wrong})
	    end;
	_ ->
	    ok
    end,
    loop2(X,Y,N+1,M).