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 static 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 static 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 static 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 static 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 static 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 static 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 static 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 ATF_CHECK_STREQ_MSG(table->result, outbuf,
181 "Entry %zu:\n\tExp: \"%s\"\n\tAct: \"%s\"/%a",
182 i, table->result, outbuf, v);
183 }
184 }
185
186 /*
187 * ldexp(3)
188 */
189 ATF_TC(ldexp_exp2);
ATF_TC_HEAD(ldexp_exp2,tc)190 ATF_TC_HEAD(ldexp_exp2, tc)
191 {
192 atf_tc_set_md_var(tc, "descr", "Test ldexp(x, n) == x * exp2(n)");
193 }
194
ATF_TC_BODY(ldexp_exp2,tc)195 ATF_TC_BODY(ldexp_exp2, tc)
196 {
197 const double n[] = { 1, 2, 3, 10, 50, 100 };
198 const double eps = DBL_EPSILON;
199 const double x = 12.0;
200 size_t i;
201
202 for (i = 0; i < __arraycount(n); i++) {
203 double y = ldexp(x, n[i]);
204
205 if (!(fabs((y - (x * exp2(n[i])))/y) <= eps)) {
206 atf_tc_fail_nonfatal("ldexp(%.17g, %.17g) = %.17g "
207 "!= %.17g * exp2(%.17g) = %.17g",
208 x, n[i], y, x, n[i], (x * exp2(n[i])));
209 }
210 }
211 }
212
213 ATF_TC(ldexp_nan);
ATF_TC_HEAD(ldexp_nan,tc)214 ATF_TC_HEAD(ldexp_nan, tc)
215 {
216 atf_tc_set_md_var(tc, "descr", "Test ldexp(NaN) == NaN");
217 }
218
ATF_TC_BODY(ldexp_nan,tc)219 ATF_TC_BODY(ldexp_nan, tc)
220 {
221 const double x = 0.0L / 0.0L;
222 double y;
223 size_t i;
224
225 ATF_REQUIRE(isnan(x) != 0);
226
227 for (i = 0; i < __arraycount(exps); i++) {
228 y = ldexp(x, exps[i]);
229 ATF_CHECK(isnan(y) != 0);
230 }
231 }
232
233 ATF_TC(ldexp_inf_neg);
ATF_TC_HEAD(ldexp_inf_neg,tc)234 ATF_TC_HEAD(ldexp_inf_neg, tc)
235 {
236 atf_tc_set_md_var(tc, "descr", "Test ldexp(-Inf) == -Inf");
237 }
238
ATF_TC_BODY(ldexp_inf_neg,tc)239 ATF_TC_BODY(ldexp_inf_neg, tc)
240 {
241 const double x = -1.0L / 0.0L;
242 size_t i;
243
244 for (i = 0; i < __arraycount(exps); i++)
245 ATF_CHECK(ldexp(x, exps[i]) == x);
246 }
247
248 ATF_TC(ldexp_inf_pos);
ATF_TC_HEAD(ldexp_inf_pos,tc)249 ATF_TC_HEAD(ldexp_inf_pos, tc)
250 {
251 atf_tc_set_md_var(tc, "descr", "Test ldexp(+Inf) == +Inf");
252 }
253
ATF_TC_BODY(ldexp_inf_pos,tc)254 ATF_TC_BODY(ldexp_inf_pos, tc)
255 {
256 const double x = 1.0L / 0.0L;
257 size_t i;
258
259 for (i = 0; i < __arraycount(exps); i++)
260 ATF_CHECK(ldexp(x, exps[i]) == x);
261 }
262
263 ATF_TC(ldexp_zero_neg);
ATF_TC_HEAD(ldexp_zero_neg,tc)264 ATF_TC_HEAD(ldexp_zero_neg, tc)
265 {
266 atf_tc_set_md_var(tc, "descr", "Test ldexp(-0.0) == -0.0");
267 }
268
ATF_TC_BODY(ldexp_zero_neg,tc)269 ATF_TC_BODY(ldexp_zero_neg, tc)
270 {
271 const double x = -0.0L;
272 double y;
273 size_t i;
274
275 ATF_REQUIRE(signbit(x) != 0);
276
277 for (i = 0; i < __arraycount(exps); i++) {
278 y = ldexp(x, exps[i]);
279 ATF_CHECK(x == y);
280 ATF_CHECK(signbit(y) != 0);
281 }
282 }
283
284 ATF_TC(ldexp_zero_pos);
ATF_TC_HEAD(ldexp_zero_pos,tc)285 ATF_TC_HEAD(ldexp_zero_pos, tc)
286 {
287 atf_tc_set_md_var(tc, "descr", "Test ldexp(+0.0) == +0.0");
288 }
289
ATF_TC_BODY(ldexp_zero_pos,tc)290 ATF_TC_BODY(ldexp_zero_pos, tc)
291 {
292 const double x = 0.0L;
293 double y;
294 size_t i;
295
296 ATF_REQUIRE(signbit(x) == 0);
297
298 for (i = 0; i < __arraycount(exps); i++) {
299 y = ldexp(x, exps[i]);
300 ATF_CHECK(x == y);
301 ATF_CHECK(signbit(y) == 0);
302 }
303 }
304
305 /*
306 * ldexpf(3)
307 */
308
309 ATF_TC(ldexpf_exp2f);
ATF_TC_HEAD(ldexpf_exp2f,tc)310 ATF_TC_HEAD(ldexpf_exp2f, tc)
311 {
312 atf_tc_set_md_var(tc, "descr", "Test ldexpf(x, n) == x * exp2f(n)");
313 }
314
ATF_TC_BODY(ldexpf_exp2f,tc)315 ATF_TC_BODY(ldexpf_exp2f, tc)
316 {
317 const float n[] = { 1, 2, 3, 10, 50, 100 };
318 const float eps = FLT_EPSILON;
319 const float x = 12.0;
320 size_t i;
321
322 for (i = 0; i < __arraycount(n); i++) {
323 float y = ldexpf(x, n[i]);
324
325 if (!(fabsf((y - (x * exp2f(n[i])))/y) <= eps)) {
326 atf_tc_fail_nonfatal("ldexpf(%.17g, %.17g) = %.17g "
327 "!= %.17g * exp2f(%.17g) = %.17g",
328 x, n[i], y, x, n[i], (x * exp2f(n[i])));
329 }
330 }
331 }
332
333 ATF_TC(ldexpf_nan);
ATF_TC_HEAD(ldexpf_nan,tc)334 ATF_TC_HEAD(ldexpf_nan, tc)
335 {
336 atf_tc_set_md_var(tc, "descr", "Test ldexpf(NaN) == NaN");
337 }
338
ATF_TC_BODY(ldexpf_nan,tc)339 ATF_TC_BODY(ldexpf_nan, tc)
340 {
341 const float x = 0.0L / 0.0L;
342 float y;
343 size_t i;
344
345 ATF_REQUIRE(isnan(x) != 0);
346
347 for (i = 0; i < __arraycount(exps); i++) {
348 y = ldexpf(x, exps[i]);
349 ATF_CHECK(isnan(y) != 0);
350 }
351 }
352
353 ATF_TC(ldexpf_inf_neg);
ATF_TC_HEAD(ldexpf_inf_neg,tc)354 ATF_TC_HEAD(ldexpf_inf_neg, tc)
355 {
356 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-Inf) == -Inf");
357 }
358
ATF_TC_BODY(ldexpf_inf_neg,tc)359 ATF_TC_BODY(ldexpf_inf_neg, tc)
360 {
361 const float x = -1.0L / 0.0L;
362 size_t i;
363
364 for (i = 0; i < __arraycount(exps); i++)
365 ATF_CHECK(ldexpf(x, exps[i]) == x);
366 }
367
368 ATF_TC(ldexpf_inf_pos);
ATF_TC_HEAD(ldexpf_inf_pos,tc)369 ATF_TC_HEAD(ldexpf_inf_pos, tc)
370 {
371 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+Inf) == +Inf");
372 }
373
ATF_TC_BODY(ldexpf_inf_pos,tc)374 ATF_TC_BODY(ldexpf_inf_pos, tc)
375 {
376 const float x = 1.0L / 0.0L;
377 size_t i;
378
379 for (i = 0; i < __arraycount(exps); i++)
380 ATF_CHECK(ldexpf(x, exps[i]) == x);
381 }
382
383 ATF_TC(ldexpf_zero_neg);
ATF_TC_HEAD(ldexpf_zero_neg,tc)384 ATF_TC_HEAD(ldexpf_zero_neg, tc)
385 {
386 atf_tc_set_md_var(tc, "descr", "Test ldexpf(-0.0) == -0.0");
387 }
388
ATF_TC_BODY(ldexpf_zero_neg,tc)389 ATF_TC_BODY(ldexpf_zero_neg, tc)
390 {
391 const float x = -0.0L;
392 float y;
393 size_t i;
394
395 ATF_REQUIRE(signbit(x) != 0);
396
397 for (i = 0; i < __arraycount(exps); i++) {
398 y = ldexpf(x, exps[i]);
399 ATF_CHECK(x == y);
400 ATF_CHECK(signbit(y) != 0);
401 }
402 }
403
404 ATF_TC(ldexpf_zero_pos);
ATF_TC_HEAD(ldexpf_zero_pos,tc)405 ATF_TC_HEAD(ldexpf_zero_pos, tc)
406 {
407 atf_tc_set_md_var(tc, "descr", "Test ldexpf(+0.0) == +0.0");
408 }
409
ATF_TC_BODY(ldexpf_zero_pos,tc)410 ATF_TC_BODY(ldexpf_zero_pos, tc)
411 {
412 const float x = 0.0L;
413 float y;
414 size_t i;
415
416 ATF_REQUIRE(signbit(x) == 0);
417
418 for (i = 0; i < __arraycount(exps); i++) {
419 y = ldexpf(x, exps[i]);
420 ATF_CHECK(x == y);
421 ATF_CHECK(signbit(y) == 0);
422 }
423 }
424
425 #define TEST(name, desc) \
426 ATF_TC(name); \
427 ATF_TC_HEAD(name, tc) \
428 { \
429 \
430 atf_tc_set_md_var(tc, "descr", \
431 "Test ldexp(3) for " ___STRING(desc)); \
432 } \
433 ATF_TC_BODY(name, tc) \
434 { \
435 if (strcmp("vax", MACHINE_ARCH) == 0) \
436 atf_tc_skip("Test not valid for " MACHINE_ARCH); \
437 run_test(name); \
438 }
439
TEST(ldexp_basic,basics)440 TEST(ldexp_basic, basics)
441 TEST(ldexp_zero, zero)
442 TEST(ldexp_infinity, infinity)
443 TEST(ldexp_overflow, overflow)
444 TEST(ldexp_denormal, denormal)
445 TEST(ldexp_denormal_large, large)
446 TEST(ldexp_underflow, underflow)
447
448 ATF_TP_ADD_TCS(tp)
449 {
450
451 ATF_TP_ADD_TC(tp, ldexp_basic);
452 ATF_TP_ADD_TC(tp, ldexp_zero);
453 ATF_TP_ADD_TC(tp, ldexp_infinity);
454 ATF_TP_ADD_TC(tp, ldexp_overflow);
455 ATF_TP_ADD_TC(tp, ldexp_denormal);
456 ATF_TP_ADD_TC(tp, ldexp_underflow);
457 ATF_TP_ADD_TC(tp, ldexp_denormal_large);
458
459 ATF_TP_ADD_TC(tp, ldexp_exp2);
460 ATF_TP_ADD_TC(tp, ldexp_nan);
461 ATF_TP_ADD_TC(tp, ldexp_inf_neg);
462 ATF_TP_ADD_TC(tp, ldexp_inf_pos);
463 ATF_TP_ADD_TC(tp, ldexp_zero_neg);
464 ATF_TP_ADD_TC(tp, ldexp_zero_pos);
465
466 ATF_TP_ADD_TC(tp, ldexpf_exp2f);
467 ATF_TP_ADD_TC(tp, ldexpf_nan);
468 ATF_TP_ADD_TC(tp, ldexpf_inf_neg);
469 ATF_TP_ADD_TC(tp, ldexpf_inf_pos);
470 ATF_TP_ADD_TC(tp, ldexpf_zero_neg);
471 ATF_TP_ADD_TC(tp, ldexpf_zero_pos);
472
473 return atf_no_error();
474 }
475