1 /* $NetBSD: t_ldexp.c,v 1.17 2018/11/07 03:59:36 riastradh Exp $ */
2
3 /*-
4 * Copyright (c) 2011 The NetBSD Foundation, Inc.
5 * All rights reserved.
6 *
7 * This code is derived from software contributed to The NetBSD Foundation
8 * by Jukka Ruohonen.
9 *
10 * Redistribution and use in source and binary forms, with or without
11 * modification, are permitted provided that the following conditions
12 * are met:
13 * 1. Redistributions of source code must retain the above copyright
14 * notice, this list of conditions and the following disclaimer.
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in the
17 * documentation and/or other materials provided with the distribution.
18 *
19 * THIS SOFTWARE IS PROVIDED BY THE NETBSD FOUNDATION, INC. AND CONTRIBUTORS
20 * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
21 * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
22 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE FOUNDATION OR CONTRIBUTORS
23 * BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
24 * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
25 * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
26 * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
27 * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
28 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
29 * POSSIBILITY OF SUCH DAMAGE.
30 */
31 #include <sys/cdefs.h>
32 __RCSID("$NetBSD: t_ldexp.c,v 1.17 2018/11/07 03:59:36 riastradh Exp $");
33
34 #include <sys/param.h>
35
36 #include <atf-c.h>
37
38 #include <float.h>
39 #include <limits.h>
40 #include <math.h>
41 #include <stdio.h>
42 #include <string.h>
43
44 #define SKIP 9999
45 #define FORMAT "%23.23lg"
46
47 static const int exps[] = { 0, 1, -1, 100, -100 };
48
49 struct ldexp_test {
50 double x;
51 int exp1;
52 int exp2;
53 const char *result;
54 };
55
56 struct ldexp_test ldexp_basic[] = {
57 { 1.0, 5, SKIP, " 32" },
58 { 1.0, 1022, SKIP, "4.4942328371557897693233e+307" },
59 { 1.0, 1023, -1, "4.4942328371557897693233e+307" },
60 { 1.0, 1023, SKIP, "8.9884656743115795386465e+307" },
61 { 1.0, 1022, 1, "8.9884656743115795386465e+307" },
62 { 1.0, -1022, 2045, "8.9884656743115795386465e+307" },
63 { 1.0, -5, SKIP, " 0.03125" },
64 { 1.0, -1021, SKIP, "4.4501477170144027661805e-308" },
65 { 1.0, -1022, 1, "4.4501477170144027661805e-308" },
66 { 1.0, -1022, SKIP, "2.2250738585072013830902e-308" },
67 { 1.0, -1021, -1, "2.2250738585072013830902e-308" },
68 { 1.0, 1023, -2045, "2.2250738585072013830902e-308" },
69 { 1.0, 1023, -1023, " 1" },
70 { 1.0, -1022, 1022, " 1" },
71 { 0, 0, 0, NULL }
72 };
73
74 struct ldexp_test ldexp_zero[] = {
75 { 0.0, -1, SKIP, " 0" },
76 { 0.0, 0, SKIP, " 0" },
77 { 0.0, 1, SKIP, " 0" },
78 { 0.0, 1024, SKIP, " 0" },
79 { 0.0, 1025, SKIP, " 0" },
80 { 0.0, -1023, SKIP, " 0" },
81 { 0.0, -1024, SKIP, " 0" },
82 { 0, 0, 0, NULL }
83 };
84
85 struct ldexp_test ldexp_infinity[] = {
86 { 1.0, 1024, -1, " inf" },
87 { 1.0, 1024, 0, " inf" },
88 { 1.0, 1024, 1, " inf" },
89 { -1.0, 1024, -1, " -inf" },
90 { -1.0, 1024, 0, " -inf" },
91 { -1.0, 1024, 1, " -inf" },
92 { 0, 0, 0, NULL }
93 };
94
95 struct ldexp_test ldexp_overflow[] = {
96 { 1.0, 1024, SKIP, " inf" },
97 { 1.0, 1023, 1, " inf" },
98 { 1.0, -1022, 2046, " inf" },
99 { 1.0, 1025, SKIP, " inf" },
100 { 2.0, INT_MAX,SKIP, " inf" },
101 { -1.0, 1024, SKIP, " -inf" },
102 { -1.0, 1023, 1, " -inf" },
103 { -1.0, -1022, 2046, " -inf" },
104 { -1.0, 1025, SKIP, " -inf" },
105 { -2.0, INT_MAX,SKIP, " -inf" },
106 { 0, 0, 0, NULL }
107 };
108
109 struct ldexp_test ldexp_denormal[] = {
110 { 1.0, -1023, SKIP, "1.1125369292536006915451e-308" },
111 { 1.0, -1022, -1, "1.1125369292536006915451e-308" },
112 { 1.0, 1023, -2046, "1.1125369292536006915451e-308" },
113 { 1.0, -1024, SKIP, "5.5626846462680034577256e-309" },
114 { 1.0, -1074, SKIP, "4.9406564584124654417657e-324" },
115 { -1.0, -1023, SKIP, "-1.1125369292536006915451e-308" },
116 { -1.0, -1022, -1, "-1.1125369292536006915451e-308" },
117 { -1.0, 1023, -2046, "-1.1125369292536006915451e-308" },
118 { -1.0, -1024, SKIP, "-5.5626846462680034577256e-309" },
119 { -1.0, -1074, SKIP, "-4.9406564584124654417657e-324" },
120 { 0, 0, 0, NULL }
121 };
122
123 struct ldexp_test ldexp_underflow[] = {
124 { 1.0, -1075, SKIP, " 0" },
125 { 1.0, -1074, -1, " 0" },
126 { 1.0, 1023, -2098, " 0" },
127 { 1.0, -1076, SKIP, " 0" },
128 { -1.0, -1075, SKIP, " -0" },
129 { -1.0, -1074, -1, " -0" },
130 { -1.0, 1023, -2098, " -0" },
131 { -1.0, -1076, SKIP, " -0" },
132 { 0, 0, 0, NULL }
133 };
134
135 struct ldexp_test ldexp_denormal_large[] = {
136 { 1.0, -1028, 1024, " 0.0625" },
137 { 1.0, -1028, 1025, " 0.125" },
138 { 1.0, -1028, 1026, " 0.25" },
139 { 1.0, -1028, 1027, " 0.5" },
140 { 1.0, -1028, 1028, " 1" },
141 { 1.0, -1028, 1029, " 2" },
142 { 1.0, -1028, 1030, " 4" },
143 { 1.0, -1028, 1040, " 4096" },
144 { 1.0, -1028, 1050, " 4194304" },
145 { 1.0, -1028, 1060, " 4294967296" },
146 { 1.0, -1028, 1100, " 4722366482869645213696" },
147 { 1.0, -1028, 1200, "5.9863107065073783529623e+51" },
148 { 1.0, -1028, 1300, "7.5885503602567541832791e+81" },
149 { 1.0, -1028, 1400, "9.6196304190416209014353e+111" },
150 { 1.0, -1028, 1500, "1.2194330274671844653834e+142" },
151 { 1.0, -1028, 1600, "1.5458150092069033378781e+172" },
152 { 1.0, -1028, 1700, "1.9595533242629369747791e+202" },
153 { 1.0, -1028, 1800, "2.4840289476811342962384e+232" },
154 { 1.0, -1028, 1900, "3.1488807865122869393369e+262" },
155 { 1.0, -1028, 2000, "3.9916806190694396233127e+292" },
156 { 1.0, -1028, 2046, "2.808895523222368605827e+306" },
157 { 1.0, -1028, 2047, "5.6177910464447372116541e+306" },
158 { 1.0, -1028, 2048, "1.1235582092889474423308e+307" },
159 { 1.0, -1028, 2049, "2.2471164185778948846616e+307" },
160 { 1.0, -1028, 2050, "4.4942328371557897693233e+307" },
161 { 1.0, -1028, 2051, "8.9884656743115795386465e+307" },
162 { 0, 0, 0, NULL }
163 };
164
165 static void
run_test(struct ldexp_test * table)166 run_test(struct ldexp_test *table)
167 {
168 char outbuf[64];
169 size_t i;
170 double v;
171
172 for (i = 0; table->result != NULL; table++, i++) {
173
174 v = ldexp(table->x, table->exp1);
175
176 if (table->exp2 != SKIP)
177 v = ldexp(v, table->exp2);
178
179 (void)snprintf(outbuf, sizeof(outbuf), FORMAT, v);
180
181 ATF_CHECK_STREQ_MSG(table->result, outbuf,
182 "Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"",
183 i, table->result, outbuf);
184 }
185 }
186
187 /*
188 * ldexp(3)
189 */
190 ATF_TC(ldexp_exp2);
ATF_TC_HEAD(ldexp_exp2,tc)191 ATF_TC_HEAD(ldexp_exp2, tc)
192 {
193 atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)");
194 }
195
ATF_TC_BODY(ldexp_exp2,tc)196 ATF_TC_BODY(ldexp_exp2, tc)
197 {
198 const double n[] = { 1, 2, 3, 10, 50, 100 };
199 const double eps = DBL_EPSILON;
200 const double x = 12.0;
201 size_t i;
202
203 for (i = 0; i < __arraycount(n); i++) {
204 double y = ldexp(x, n[i]);
205
206 if (!(fabs((y - (x * exp2(n[i])))/y) <= eps)) {
207 atf_tc_fail_nonfatal("ldexp(%.17g, %.17g) = %.17g "
208 "!= %.17g * exp2(%.17g) = %.17g",
209 x, n[i], y, x, n[i], (x * exp2(n[i])));
210 }
211 }
212 }
213
214 ATF_TC(ldexp_nan);
ATF_TC_HEAD(ldexp_nan,tc)215 ATF_TC_HEAD(ldexp_nan, tc)
216 {
217 atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN");
218 }
219
ATF_TC_BODY(ldexp_nan,tc)220 ATF_TC_BODY(ldexp_nan, tc)
221 {
222 const double x = 0.0L / 0.0L;
223 double y;
224 size_t i;
225
226 ATF_REQUIRE(isnan(x) != 0);
227
228 for (i = 0; i < __arraycount(exps); i++) {
229 y = ldexp(x, exps[i]);
230 ATF_CHECK(isnan(y) != 0);
231 }
232 }
233
234 ATF_TC(ldexp_inf_neg);
ATF_TC_HEAD(ldexp_inf_neg,tc)235 ATF_TC_HEAD(ldexp_inf_neg, tc)
236 {
237 atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf");
238 }
239
ATF_TC_BODY(ldexp_inf_neg,tc)240 ATF_TC_BODY(ldexp_inf_neg, tc)
241 {
242 const double x = -1.0L / 0.0L;
243 size_t i;
244
245 for (i = 0; i < __arraycount(exps); i++)
246 ATF_CHECK(ldexp(x, exps[i]) == x);
247 }
248
249 ATF_TC(ldexp_inf_pos);
ATF_TC_HEAD(ldexp_inf_pos,tc)250 ATF_TC_HEAD(ldexp_inf_pos, tc)
251 {
252 atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf");
253 }
254
ATF_TC_BODY(ldexp_inf_pos,tc)255 ATF_TC_BODY(ldexp_inf_pos, tc)
256 {
257 const double x = 1.0L / 0.0L;
258 size_t i;
259
260 for (i = 0; i < __arraycount(exps); i++)
261 ATF_CHECK(ldexp(x, exps[i]) == x);
262 }
263
264 ATF_TC(ldexp_zero_neg);
ATF_TC_HEAD(ldexp_zero_neg,tc)265 ATF_TC_HEAD(ldexp_zero_neg, tc)
266 {
267 atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0");
268 }
269
ATF_TC_BODY(ldexp_zero_neg,tc)270 ATF_TC_BODY(ldexp_zero_neg, tc)
271 {
272 const double x = -0.0L;
273 double y;
274 size_t i;
275
276 ATF_REQUIRE(signbit(x) != 0);
277
278 for (i = 0; i < __arraycount(exps); i++) {
279 y = ldexp(x, exps[i]);
280 ATF_CHECK(x == y);
281 ATF_CHECK(signbit(y) != 0);
282 }
283 }
284
285 ATF_TC(ldexp_zero_pos);
ATF_TC_HEAD(ldexp_zero_pos,tc)286 ATF_TC_HEAD(ldexp_zero_pos, tc)
287 {
288 atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0");
289 }
290
ATF_TC_BODY(ldexp_zero_pos,tc)291 ATF_TC_BODY(ldexp_zero_pos, tc)
292 {
293 const double x = 0.0L;
294 double y;
295 size_t i;
296
297 ATF_REQUIRE(signbit(x) == 0);
298
299 for (i = 0; i < __arraycount(exps); i++) {
300 y = ldexp(x, exps[i]);
301 ATF_CHECK(x == y);
302 ATF_CHECK(signbit(y) == 0);
303 }
304 }
305
306 /*
307 * ldexpf(3)
308 */
309
310 ATF_TC(ldexpf_exp2f);
ATF_TC_HEAD(ldexpf_exp2f,tc)311 ATF_TC_HEAD(ldexpf_exp2f, tc)
312 {
313 atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)");
314 }
315
ATF_TC_BODY(ldexpf_exp2f,tc)316 ATF_TC_BODY(ldexpf_exp2f, tc)
317 {
318 const float n[] = { 1, 2, 3, 10, 50, 100 };
319 const float eps = FLT_EPSILON;
320 const float x = 12.0;
321 size_t i;
322
323 for (i = 0; i < __arraycount(n); i++) {
324 float y = ldexpf(x, n[i]);
325
326 if (!(fabsf((y - (x * exp2f(n[i])))/y) <= eps)) {
327 atf_tc_fail_nonfatal("ldexpf(%.17g, %.17g) = %.17g "
328 "!= %.17g * exp2f(%.17g) = %.17g",
329 x, n[i], y, x, n[i], (x * exp2f(n[i])));
330 }
331 }
332 }
333
334 ATF_TC(ldexpf_nan);
ATF_TC_HEAD(ldexpf_nan,tc)335 ATF_TC_HEAD(ldexpf_nan, tc)
336 {
337 atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN");
338 }
339
ATF_TC_BODY(ldexpf_nan,tc)340 ATF_TC_BODY(ldexpf_nan, tc)
341 {
342 const float x = 0.0L / 0.0L;
343 float y;
344 size_t i;
345
346 ATF_REQUIRE(isnan(x) != 0);
347
348 for (i = 0; i < __arraycount(exps); i++) {
349 y = ldexpf(x, exps[i]);
350 ATF_CHECK(isnan(y) != 0);
351 }
352 }
353
354 ATF_TC(ldexpf_inf_neg);
ATF_TC_HEAD(ldexpf_inf_neg,tc)355 ATF_TC_HEAD(ldexpf_inf_neg, tc)
356 {
357 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf");
358 }
359
ATF_TC_BODY(ldexpf_inf_neg,tc)360 ATF_TC_BODY(ldexpf_inf_neg, tc)
361 {
362 const float x = -1.0L / 0.0L;
363 size_t i;
364
365 for (i = 0; i < __arraycount(exps); i++)
366 ATF_CHECK(ldexpf(x, exps[i]) == x);
367 }
368
369 ATF_TC(ldexpf_inf_pos);
ATF_TC_HEAD(ldexpf_inf_pos,tc)370 ATF_TC_HEAD(ldexpf_inf_pos, tc)
371 {
372 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf");
373 }
374
ATF_TC_BODY(ldexpf_inf_pos,tc)375 ATF_TC_BODY(ldexpf_inf_pos, tc)
376 {
377 const float x = 1.0L / 0.0L;
378 size_t i;
379
380 for (i = 0; i < __arraycount(exps); i++)
381 ATF_CHECK(ldexpf(x, exps[i]) == x);
382 }
383
384 ATF_TC(ldexpf_zero_neg);
ATF_TC_HEAD(ldexpf_zero_neg,tc)385 ATF_TC_HEAD(ldexpf_zero_neg, tc)
386 {
387 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0");
388 }
389
ATF_TC_BODY(ldexpf_zero_neg,tc)390 ATF_TC_BODY(ldexpf_zero_neg, tc)
391 {
392 const float x = -0.0L;
393 float y;
394 size_t i;
395
396 ATF_REQUIRE(signbit(x) != 0);
397
398 for (i = 0; i < __arraycount(exps); i++) {
399 y = ldexpf(x, exps[i]);
400 ATF_CHECK(x == y);
401 ATF_CHECK(signbit(y) != 0);
402 }
403 }
404
405 ATF_TC(ldexpf_zero_pos);
ATF_TC_HEAD(ldexpf_zero_pos,tc)406 ATF_TC_HEAD(ldexpf_zero_pos, tc)
407 {
408 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0");
409 }
410
ATF_TC_BODY(ldexpf_zero_pos,tc)411 ATF_TC_BODY(ldexpf_zero_pos, tc)
412 {
413 const float x = 0.0L;
414 float y;
415 size_t i;
416
417 ATF_REQUIRE(signbit(x) == 0);
418
419 for (i = 0; i < __arraycount(exps); i++) {
420 y = ldexpf(x, exps[i]);
421 ATF_CHECK(x == y);
422 ATF_CHECK(signbit(y) == 0);
423 }
424 }
425
426 #define TEST(name, desc) \
427 ATF_TC(name); \
428 ATF_TC_HEAD(name, tc) \
429 { \
430 \
431 atf_tc_set_md_var(tc, "descr", \
432 "Test ldexp(3) for " ___STRING(desc)); \
433 } \
434 ATF_TC_BODY(name, tc) \
435 { \
436 if (strcmp("vax", MACHINE_ARCH) == 0) \
437 atf_tc_skip("Test not valid for " MACHINE_ARCH); \
438 run_test(name); \
439 }
440
TEST(ldexp_basic,basics)441 TEST(ldexp_basic, basics)
442 TEST(ldexp_zero, zero)
443 TEST(ldexp_infinity, infinity)
444 TEST(ldexp_overflow, overflow)
445 TEST(ldexp_denormal, denormal)
446 TEST(ldexp_denormal_large, large)
447 TEST(ldexp_underflow, underflow)
448
449 ATF_TP_ADD_TCS(tp)
450 {
451
452 ATF_TP_ADD_TC(tp, ldexp_basic);
453 ATF_TP_ADD_TC(tp, ldexp_zero);
454 ATF_TP_ADD_TC(tp, ldexp_infinity);
455 ATF_TP_ADD_TC(tp, ldexp_overflow);
456 ATF_TP_ADD_TC(tp, ldexp_denormal);
457 ATF_TP_ADD_TC(tp, ldexp_underflow);
458 ATF_TP_ADD_TC(tp, ldexp_denormal_large);
459
460 ATF_TP_ADD_TC(tp, ldexp_exp2);
461 ATF_TP_ADD_TC(tp, ldexp_nan);
462 ATF_TP_ADD_TC(tp, ldexp_inf_neg);
463 ATF_TP_ADD_TC(tp, ldexp_inf_pos);
464 ATF_TP_ADD_TC(tp, ldexp_zero_neg);
465 ATF_TP_ADD_TC(tp, ldexp_zero_pos);
466
467 ATF_TP_ADD_TC(tp, ldexpf_exp2f);
468 ATF_TP_ADD_TC(tp, ldexpf_nan);
469 ATF_TP_ADD_TC(tp, ldexpf_inf_neg);
470 ATF_TP_ADD_TC(tp, ldexpf_inf_pos);
471 ATF_TP_ADD_TC(tp, ldexpf_zero_neg);
472 ATF_TP_ADD_TC(tp, ldexpf_zero_pos);
473
474 return atf_no_error();
475 }
476