t_log.c revision 1.17 1 /* $NetBSD: t_log.c,v 1.17 2024/07/16 03:14:16 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_log.c,v 1.17 2024/07/16 03:14:16 riastradh Exp $");
33
34 #include <sys/types.h>
35
36 #include <atf-c.h>
37
38 #include <errno.h>
39 #include <float.h>
40 #include <math.h>
41 #include <stdio.h>
42 #include <string.h>
43
44 #define CHECK_EQ(i, f, x, y) \
45 ATF_CHECK_EQ_MSG(f(x), y, \
46 "[%u] %s(%a=%.17g)=%a=%.17g, expected %a=%.17g", \
47 (i), #f, (double)(x), (double)(x), f(x), f(x), \
48 (double)(y), (double)(y))
49
50 #define CHECKL_EQ(i, f, x, y) \
51 ATF_CHECK_EQ_MSG(f(x), y, \
52 "[%u] %s(%La=%.34Lg)=%La=%.34Lg, expected %La=%.34Lg", \
53 (i), #f, (long double)(x), (long double)(x), f(x), f(x), \
54 (long double)(y), (long double)(y))
55
56 #ifdef NAN
57
58 #define CHECK_NAN(i, f, x) \
59 ATF_CHECK_MSG(isnan(f(x)), \
60 "[%u] %s(%a=%.17g)=%a=%.17g, expected NaN", \
61 (i), #f, (x), (x), f(x), f(x))
62
63 #define CHECKL_NAN(i, f, x) \
64 ATF_CHECK_MSG(isnan(f(x)), \
65 "[%u] %s(%La=%.34Lg)=%La=%.34Lg, expected NaN", \
66 (i), #f, (long double)(x), (long double)(x), f(x), f(x))
67
68 #else /* !defined(NAN) */
69
70 #define CHECK_NAN(i, f, x) do \
71 { \
72 int _checknan_error; \
73 double _checknan_result; \
74 errno = 0; \
75 _checknan_result = f(x); \
76 _checknan_error = errno; \
77 ATF_CHECK_EQ_MSG(errno, EDOM, \
78 "[%u] %s(%a=%.17g)=%a=%.17g errno=%d, expected EDOM=%d", \
79 (i), #f, (double)(x), (double)(x), \
80 _checknan_result, _checknan_result, \
81 _checknan_error, EDOM); \
82 } while (0)
83
84 #define CHECKL_NAN(i, f, x) do \
85 { \
86 int _checknan_error; \
87 long double _checknan_result; \
88 errno = 0; \
89 _checknan_result = f(x); \
90 _checknan_error = errno; \
91 ATF_CHECK_EQ_MSG(errno, EDOM, \
92 "[%u] %s(%La=%.34Lg)=%La=%.34Lg errno=%d, expected EDOM=%d", \
93 (i), #f, (long double)(x), (long double)(x), \
94 _checknan_result, _checknan_result, \
95 _checknan_error, EDOM); \
96 } while (0)
97
98 #endif /* NAN */
99
100 static const float logf_invalid[] = {
101 #ifdef NAN
102 NAN,
103 #endif
104 -HUGE_VALF,
105 -FLT_MAX,
106 -10,
107 -1,
108 -FLT_EPSILON,
109 -FLT_MIN,
110 #ifdef FLT_DENORM_MIN
111 -FLT_DENORM_MIN,
112 #endif
113 };
114
115 static const double log_invalid[] = {
116 #ifdef NAN
117 NAN,
118 #endif
119 -HUGE_VAL,
120 -DBL_MAX,
121 -10,
122 -1,
123 -DBL_EPSILON,
124 -DBL_MIN,
125 #ifdef DBL_DENORM_MIN
126 -DBL_DENORM_MIN,
127 #endif
128 };
129
130 static const long double logl_invalid[] = {
131 #ifdef NAN
132 NAN,
133 #endif
134 -HUGE_VALL,
135 -LDBL_MAX,
136 -10,
137 -1,
138 -LDBL_EPSILON,
139 -LDBL_MIN,
140 #ifdef LDBL_DENORM_MIN
141 -LDBL_DENORM_MIN,
142 #endif
143 };
144
145 static const float log1pf_invalid[] = {
146 #ifdef NAN
147 NAN,
148 #endif
149 -HUGE_VALF,
150 -FLT_MAX,
151 -10,
152 -1 - FLT_EPSILON,
153 };
154
155 static const double log1p_invalid[] = {
156 #ifdef NAN
157 NAN,
158 #endif
159 -HUGE_VAL,
160 -DBL_MAX,
161 -10,
162 -1 - DBL_EPSILON,
163 };
164
165 static const long double log1pl_invalid[] = {
166 #ifdef NAN
167 NAN,
168 #endif
169 -HUGE_VALL,
170 -LDBL_MAX,
171 -10,
172 -1 - LDBL_EPSILON,
173 };
174
175 /*
176 * log10(3)
177 */
178 static const struct {
179 float x, y;
180 } log10f_exact[] = {
181 { 1, 0 },
182 { 10, 1 },
183 { 100, 2 },
184 };
185
186 ATF_TC(log10_invalid);
187 ATF_TC_HEAD(log10_invalid, tc)
188 {
189 atf_tc_set_md_var(tc, "descr", "Test log10/f/l on invalid inputs");
190 }
191 ATF_TC_BODY(log10_invalid, tc)
192 {
193 unsigned i;
194
195 for (i = 0; i < __arraycount(logf_invalid); i++) {
196 CHECK_NAN(i, log10f, logf_invalid[i]);
197 CHECK_NAN(i, log10, logf_invalid[i]);
198 CHECKL_NAN(i, log10l, logf_invalid[i]);
199 }
200
201 for (i = 0; i < __arraycount(log_invalid); i++) {
202 CHECK_NAN(i, log10, log_invalid[i]);
203 CHECKL_NAN(i, log10l, log_invalid[i]);
204 }
205
206 for (i = 0; i < __arraycount(logl_invalid); i++) {
207 CHECKL_NAN(i, log10l, logl_invalid[i]);
208 }
209 }
210
211 ATF_TC(log10_zero);
212 ATF_TC_HEAD(log10_zero, tc)
213 {
214 atf_tc_set_md_var(tc, "descr", "Test log10/f/l on zero");
215 }
216 ATF_TC_BODY(log10_zero, tc)
217 {
218
219 CHECK_EQ(0, log10f, +0., -HUGE_VALF);
220 CHECK_EQ(0, log10, +0., -HUGE_VAL);
221 CHECKL_EQ(0, log10l, +0., -HUGE_VALL);
222
223 CHECK_EQ(1, log10f, -0., -HUGE_VALF);
224 CHECK_EQ(1, log10, -0., -HUGE_VAL);
225 CHECKL_EQ(1, log10l, -0., -HUGE_VALL);
226 }
227
228 ATF_TC(log10_exact);
229 ATF_TC_HEAD(log10_exact, tc)
230 {
231 atf_tc_set_md_var(tc, "descr", "Test log10/f/l exact cases");
232 }
233 ATF_TC_BODY(log10_exact, tc)
234 {
235 unsigned i;
236
237 ATF_CHECK_EQ(signbit(log10f(1)), 0);
238 ATF_CHECK_EQ(signbit(log10(1)), 0);
239 ATF_CHECK_EQ(signbit(log10l(1)), 0);
240
241 #if __HAVE_LONG_DOUBLE + 0 == 128
242 /*
243 * Not sure if it's the same issue, but probably!
244 *
245 * log10l(x) != y: [1] log10l(0x1.4p+3=10)=0x1.ffffffffcf54a625cf632f6e120dp-1=0.99999999997786775, expected 0x1p+0=1
246 * log10l(x) != y: [2] log10l(0x1.9p+6=100)=0x1.ffffc6bdc46c7020e9b1f5a2930ep+0=1.9999965871142409, expected 0x1p+1=2
247 */
248 atf_tc_expect_fail("PR lib/58337: logl() crashes on arm64");
249 #endif
250
251 for (i = 0; i < __arraycount(log10f_exact); i++) {
252 const float x = log10f_exact[i].x;
253 const float y = log10f_exact[i].y;
254
255 CHECK_EQ(i, log10f, x, y);
256 CHECK_EQ(i, log10, x, y);
257 CHECKL_EQ(i, log10l, x, y);
258 }
259 }
260
261 ATF_TC(log10_approx);
262 ATF_TC_HEAD(log10_approx, tc)
263 {
264 atf_tc_set_md_var(tc, "descr", "Test log10/f/l approximate cases");
265 }
266 ATF_TC_BODY(log10_approx, tc)
267 {
268 volatile long double e =
269 2.7182818284590452353602874713526624977572470937L;
270 volatile long double e2 =
271 7.3890560989306502272304274605750078131803155705519L;
272 volatile long double log10e =
273 0.43429448190325182765112891891660508229439700580367L;
274 volatile long double log10e2 =
275 2*0.43429448190325182765112891891660508229439700580367L;
276
277 #if __HAVE_LONG_DOUBLE + 0 == 128
278 atf_tc_expect_fail("PR lib/58337: logl() crashes on arm64");
279 #endif
280
281 ATF_CHECK_MSG((fabsf((log10f(e) - (float)log10e)/(float)log10e) <
282 2*FLT_EPSILON),
283 "log10f(e)=%a=%.8g expected %a=%.8g",
284 log10f(e), log10f(e), (float)log10e, (float)log10e);
285 ATF_CHECK_MSG((fabs((log10(e) - (double)log10e)/(double)log10e) <
286 2*DBL_EPSILON),
287 "log10(e)=%a=%.17g expected %a=%.17g",
288 log10(e), log10(e), (double)log10e, (double)log10e);
289 ATF_CHECK_MSG((fabsl((log10l(e) - log10e)/log10e) < 2*LDBL_EPSILON),
290 "log10l(e)=%La=%.34Lg expected %La=%.34Lg",
291 log10l(e), log10l(e), log10e, log10e);
292
293 ATF_CHECK_MSG((fabsf((log10f(e2) - (float)log10e2)/(float)log10e2) <
294 2*FLT_EPSILON),
295 "log10f(e^2)=%a=%.8g expected %a=%.8g",
296 log10f(e2), log10f(e2), (float)log10e2, (float)log10e2);
297 ATF_CHECK_MSG((fabs((log10(e2) - (double)log10e2)/(double)log10e2) <
298 2*DBL_EPSILON),
299 "log10(e^2)=%a=%.17g expected %a=%.17g",
300 log10(e2), log10(e2), (double)log10e2, (double)log10e2);
301 ATF_CHECK_MSG((fabsl((log10l(e2) - log10e2)/log10e2) < 2*LDBL_EPSILON),
302 "log10l(e^2)=%La=%.34Lg expected %La=%.34Lg",
303 log10l(e2), log10l(e2), log10e2, log10e2);
304 }
305
306 ATF_TC(log10_inf);
307 ATF_TC_HEAD(log10_inf, tc)
308 {
309 atf_tc_set_md_var(tc, "descr", "Test log10/f/l on +infinity");
310 }
311 ATF_TC_BODY(log10_inf, tc)
312 {
313
314 if (!isinf(INFINITY))
315 atf_tc_skip("no infinities on this architecture");
316
317 CHECK_EQ(0, log10f, INFINITY, INFINITY);
318 CHECK_EQ(0, log10, INFINITY, INFINITY);
319 CHECKL_EQ(0, log10l, INFINITY, INFINITY);
320 }
321
322 /*
323 * log1p(3)
324 */
325
326 ATF_TC(log1p_invalid);
327 ATF_TC_HEAD(log1p_invalid, tc)
328 {
329 atf_tc_set_md_var(tc, "descr", "Test log1p/f/l on invalid inputs");
330 }
331 ATF_TC_BODY(log1p_invalid, tc)
332 {
333 unsigned i;
334
335 for (i = 0; i < __arraycount(log1pf_invalid); i++) {
336 CHECK_NAN(i, log1pf, log1pf_invalid[i]);
337 CHECK_NAN(i, log1p, log1pf_invalid[i]);
338 CHECKL_NAN(i, log1pl, log1pf_invalid[i]);
339 }
340
341 for (i = 0; i < __arraycount(log1p_invalid); i++) {
342 CHECK_NAN(i, log1p, log1p_invalid[i]);
343 CHECKL_NAN(i, log1pl, log1p_invalid[i]);
344 }
345
346 for (i = 0; i < __arraycount(log1pl_invalid); i++) {
347 CHECKL_NAN(i, log1pl, log1pl_invalid[i]);
348 }
349 }
350
351 ATF_TC(log1p_neg_one);
352 ATF_TC_HEAD(log1p_neg_one, tc)
353 {
354 atf_tc_set_md_var(tc, "descr", "Test log1p/f/l on -1");
355 }
356 ATF_TC_BODY(log1p_neg_one, tc)
357 {
358
359 CHECK_EQ(0, log1pf, -1., -HUGE_VALF);
360 CHECK_EQ(0, log1p, -1., -HUGE_VAL);
361 CHECKL_EQ(0, log1pl, -1., -HUGE_VALL);
362 }
363
364 ATF_TC(log1p_exact);
365 ATF_TC_HEAD(log1p_exact, tc)
366 {
367 atf_tc_set_md_var(tc, "descr", "Test log1p/f/l exact cases");
368 }
369 ATF_TC_BODY(log1p_exact, tc)
370 {
371
372 CHECK_EQ(0, log1pf, -FLT_MIN, -FLT_MIN);
373 CHECK_EQ(0, log1p, -DBL_MIN, -DBL_MIN);
374 CHECKL_EQ(01, log1pl, -LDBL_MIN, -LDBL_MIN);
375
376 CHECK_EQ(1, log1pf, -0., 0);
377 CHECK_EQ(1, log1p, -0., 0);
378 CHECKL_EQ(1, log1pl, -0., 0);
379
380 CHECK_EQ(2, log1pf, +0., 0);
381 CHECK_EQ(2, log1p, +0., 0);
382 CHECKL_EQ(2, log1pl, +0., 0);
383
384 CHECK_EQ(3, log1pf, 1, logf(2));
385 CHECK_EQ(3, log1p, 1, log(2));
386 CHECKL_EQ(3, log1pl, 1, logl(2));
387 }
388
389 ATF_TC(log1p_approx);
390 ATF_TC_HEAD(log1p_approx, tc)
391 {
392 atf_tc_set_md_var(tc, "descr", "Test log1p/f/l approximate cases");
393 }
394 ATF_TC_BODY(log1p_approx, tc)
395 {
396 volatile long double em1 = /* exp(1) - 1 */
397 1.7182818284590452353602874713526624977572470937L;
398 volatile long double e2m1 = /* exp(2) - 1 */
399 6.3890560989306502272304274605750078131803155705519L;
400
401 #if __HAVE_LONG_DOUBLE + 0 == 128
402 atf_tc_expect_fail("PR lib/58337: logl() crashes on arm64");
403 #endif
404
405 /*
406 * Approximation is close enough that equality of the rounded
407 * output had better hold.
408 */
409 #ifdef FLT_DENORM_MIN
410 CHECK_EQ(0, log1pf, -FLT_DENORM_MIN, -FLT_DENORM_MIN);
411 #endif
412 #ifdef DBL_DENORM_MIN
413 CHECK_EQ(0, log1p, -DBL_DENORM_MIN, -DBL_DENORM_MIN);
414 #endif
415 #ifdef LDBL_DENORM_MIN
416 CHECKL_EQ(0, log1pl, -LDBL_DENORM_MIN, -LDBL_DENORM_MIN);
417 #endif
418
419 ATF_CHECK_MSG(fabsf((log1pf(em1) - 1)/1) < 2*FLT_EPSILON,
420 "log1pf(e)=%a=%.8g", log1pf(em1), log1pf(em1));
421 ATF_CHECK_MSG(fabs((log1p(em1) - 1)/1) < 2*DBL_EPSILON,
422 "log1p(e)=%a=%.17g", log1p(em1), log1p(em1));
423 ATF_CHECK_MSG(fabsl((log1pl(em1) - 1)/1) < 2*LDBL_EPSILON,
424 "log1pl(e)=%La=%.34Lg", log1pl(em1), log1pl(em1));
425
426 ATF_CHECK_MSG(fabsf((log1pf(e2m1) - 2)/2) < 2*FLT_EPSILON,
427 "log1pf(e^2)=%a=%.8g", log1pf(em1), log1pf(em1));
428 ATF_CHECK_MSG(fabs((log1p(e2m1) - 2)/2) < 2*DBL_EPSILON,
429 "log1p(e^2)=%a=%.17g", log1p(em1), log1p(em1));
430 ATF_CHECK_MSG(fabsl((log1pl(e2m1) - 2)/2) < 2*LDBL_EPSILON,
431 "log1pl(e^2)=%La=%.34Lg", log1pl(em1), log1pl(em1));
432 }
433
434 ATF_TC(log1p_inf);
435 ATF_TC_HEAD(log1p_inf, tc)
436 {
437 atf_tc_set_md_var(tc, "descr", "Test log1p/f/l on +infinity");
438 }
439 ATF_TC_BODY(log1p_inf, tc)
440 {
441
442 if (!isinf(INFINITY))
443 atf_tc_skip("no infinities on this architecture");
444
445 CHECK_EQ(0, log1pf, INFINITY, INFINITY);
446 CHECK_EQ(0, log1p, INFINITY, INFINITY);
447 CHECKL_EQ(0, log1pl, INFINITY, INFINITY);
448 }
449
450 /*
451 * log2(3)
452 */
453 static const struct {
454 float x, y;
455 } log2f_exact[] = {
456 #ifdef FLT_DENORM_MIN
457 { FLT_DENORM_MIN, FLT_MIN_EXP - FLT_MANT_DIG },
458 #endif
459 { FLT_MIN, FLT_MIN_EXP - 1 },
460 { 0.25, -2 },
461 { 0.5, -1 },
462 { 1, 0 },
463 { 2, 1 },
464 { 4, 2 },
465 { 8, 3 },
466 { 1 << FLT_MANT_DIG, FLT_MANT_DIG },
467 { (float)(1 << FLT_MANT_DIG) * (1 << FLT_MANT_DIG),
468 2*FLT_MANT_DIG },
469 };
470 static const struct {
471 double x, y;
472 } log2_exact[] = {
473 #ifdef DBL_DENORM_MIN
474 { DBL_DENORM_MIN, DBL_MIN_EXP - DBL_MANT_DIG },
475 #endif
476 { DBL_MIN, DBL_MIN_EXP - 1 },
477 { (uint64_t)1 << DBL_MANT_DIG, DBL_MANT_DIG },
478 { ((double)((uint64_t)1 << DBL_MANT_DIG) *
479 ((uint64_t)1 << DBL_MANT_DIG)),
480 2*DBL_MANT_DIG },
481 };
482
483 static const struct {
484 long double x, y;
485 } log2l_exact[] = {
486 #ifdef LDBL_DENORM_MIN
487 { LDBL_DENORM_MIN, LDBL_MIN_EXP - LDBL_MANT_DIG },
488 #endif
489 { LDBL_MIN, LDBL_MIN_EXP - 1 },
490 { ((long double)((uint64_t)1 << (LDBL_MANT_DIG/2)) *
491 ((uint64_t)1 << ((LDBL_MANT_DIG + 1)/2))),
492 LDBL_MANT_DIG },
493 { (((long double)((uint64_t)1 << (LDBL_MANT_DIG/2)) *
494 ((uint64_t)1 << ((LDBL_MANT_DIG + 1)/2))) *
495 ((long double)((uint64_t)1 << (LDBL_MANT_DIG/2)) *
496 ((uint64_t)1 << ((LDBL_MANT_DIG + 1)/2)))),
497 2*LDBL_MANT_DIG },
498 };
499
500 ATF_TC(log2_invalid);
501 ATF_TC_HEAD(log2_invalid, tc)
502 {
503 atf_tc_set_md_var(tc, "descr", "Test log2/f/l on invalid inputs");
504 }
505 ATF_TC_BODY(log2_invalid, tc)
506 {
507 unsigned i;
508
509 for (i = 0; i < __arraycount(logf_invalid); i++) {
510 CHECK_NAN(i, log2f, logf_invalid[i]);
511 CHECK_NAN(i, log2, logf_invalid[i]);
512 CHECKL_NAN(i, log2l, logf_invalid[i]);
513 }
514
515 for (i = 0; i < __arraycount(log_invalid); i++) {
516 CHECK_NAN(i, log2, log_invalid[i]);
517 CHECKL_NAN(i, log2l, log_invalid[i]);
518 }
519
520 for (i = 0; i < __arraycount(logl_invalid); i++) {
521 CHECKL_NAN(i, log2l, logl_invalid[i]);
522 }
523 }
524
525 ATF_TC(log2_zero);
526 ATF_TC_HEAD(log2_zero, tc)
527 {
528 atf_tc_set_md_var(tc, "descr", "Test log2/f/l on zero");
529 }
530 ATF_TC_BODY(log2_zero, tc)
531 {
532
533 CHECK_EQ(0, log2f, +0., -HUGE_VALF);
534 CHECK_EQ(0, log2, +0., -HUGE_VAL);
535 CHECKL_EQ(0, log2l, +0., -HUGE_VALL);
536
537 CHECK_EQ(1, log2f, -0., -HUGE_VALF);
538 CHECK_EQ(1, log2, -0., -HUGE_VAL);
539 CHECKL_EQ(1, log2l, -0., -HUGE_VALL);
540 }
541
542 ATF_TC(log2_exact);
543 ATF_TC_HEAD(log2_exact, tc)
544 {
545 atf_tc_set_md_var(tc, "descr", "Test log2/f/l exact cases");
546 }
547 ATF_TC_BODY(log2_exact, tc)
548 {
549 unsigned i;
550
551 ATF_CHECK_EQ(signbit(log2f(1)), 0);
552 ATF_CHECK_EQ(signbit(log2(1)), 0);
553 ATF_CHECK_EQ(signbit(log2l(1)), 0);
554
555 for (i = 0; i < __arraycount(log2f_exact); i++) {
556 const float x = log2f_exact[i].x;
557 const float y = log2f_exact[i].y;
558
559 CHECK_EQ(i, log2f, x, y);
560 CHECK_EQ(i, log2, x, y);
561 CHECKL_EQ(i, log2l, x, y);
562 }
563
564 for (i = 0; i < __arraycount(log2_exact); i++) {
565 const double x = log2_exact[i].x;
566 const double y = log2_exact[i].y;
567
568 CHECK_EQ(i, log2, x, y);
569 CHECKL_EQ(i, log2l, x, y);
570 }
571
572 for (i = 0; i < __arraycount(log2l_exact); i++) {
573 const long double x = log2l_exact[i].x;
574 const long double y = log2l_exact[i].y;
575
576 CHECKL_EQ(i, log2l, x, y);
577 }
578 }
579
580 ATF_TC(log2_approx);
581 ATF_TC_HEAD(log2_approx, tc)
582 {
583 atf_tc_set_md_var(tc, "descr", "Test log2/f/l approximate cases");
584 }
585 ATF_TC_BODY(log2_approx, tc)
586 {
587 volatile long double e =
588 2.7182818284590452353602874713526624977572470937L;
589 volatile long double e2 =
590 7.3890560989306502272304274605750078131803155705519L;
591 volatile long double log2e =
592 1.442695040888963407359924681001892137426645954153L;
593 volatile long double log2e2 =
594 2*1.442695040888963407359924681001892137426645954153L;
595
596 #if __HAVE_LONG_DOUBLE + 0 == 128
597 atf_tc_expect_fail("PR lib/58337: logl() crashes on arm64");
598 #endif
599
600 ATF_CHECK_MSG((fabsf((log2f(e) - (float)log2e)/(float)log2e) <
601 2*FLT_EPSILON),
602 "log2f(e)=%a=%.8g expected %a=%.8g",
603 log2f(e), log2f(e), (float)log2e, (float)log2e);
604 ATF_CHECK_MSG((fabs((log2(e) - (double)log2e)/(double)log2e) <
605 2*DBL_EPSILON),
606 "log2(e)=%a=%.17g expected %a=%.17g",
607 log2(e), log2(e), (double)log2e, (double)log2e);
608 ATF_CHECK_MSG((fabsl((log2l(e) - log2e)/log2e) < 2*LDBL_EPSILON),
609 "log2l(e)=%La=%.34Lg expected %La=%.34Lg",
610 log2l(e), log2l(e), log2e, log2e);
611
612 ATF_CHECK_MSG((fabsf((log2f(e2) - (float)log2e2)/(float)log2e2) <
613 2*FLT_EPSILON),
614 "log2f(e^2)=%a=%.8g expected %a=%.8g",
615 log2f(e2), log2f(e2), (float)log2e2, (float)log2e2);
616 ATF_CHECK_MSG((fabs((log2(e2) - (double)log2e2)/(double)log2e2) <
617 2*DBL_EPSILON),
618 "log2(e^2)=%a=%.17g expected %a=%.17g",
619 log2(e2), log2(e2), (double)log2e2, (double)log2e2);
620 ATF_CHECK_MSG((fabsl((log2l(e2) - log2e2)/log2e2) < 2*LDBL_EPSILON),
621 "log2l(e^2)=%La=%.34Lg expected %La=%.34Lg",
622 log2l(e2), log2l(e2), log2e2, log2e2);
623 }
624
625 ATF_TC(log2_inf);
626 ATF_TC_HEAD(log2_inf, tc)
627 {
628 atf_tc_set_md_var(tc, "descr", "Test log2/f/l on +infinity");
629 }
630 ATF_TC_BODY(log2_inf, tc)
631 {
632
633 if (!isinf(INFINITY))
634 atf_tc_skip("no infinities on this architecture");
635
636 CHECK_EQ(0, log2f, INFINITY, INFINITY);
637 CHECK_EQ(0, log2, INFINITY, INFINITY);
638 CHECKL_EQ(0, log2l, INFINITY, INFINITY);
639 }
640
641 /*
642 * log(3)
643 */
644
645 ATF_TC(log_invalid);
646 ATF_TC_HEAD(log_invalid, tc)
647 {
648 atf_tc_set_md_var(tc, "descr", "Test log/f/l on invalid inputs");
649 }
650 ATF_TC_BODY(log_invalid, tc)
651 {
652 unsigned i;
653
654 for (i = 0; i < __arraycount(logf_invalid); i++) {
655 CHECK_NAN(i, logf, logf_invalid[i]);
656 CHECK_NAN(i, log, logf_invalid[i]);
657 CHECKL_NAN(i, logl, logf_invalid[i]);
658 }
659
660 for (i = 0; i < __arraycount(log_invalid); i++) {
661 CHECK_NAN(i, log, log_invalid[i]);
662 CHECKL_NAN(i, logl, log_invalid[i]);
663 }
664
665 for (i = 0; i < __arraycount(logl_invalid); i++) {
666 CHECKL_NAN(i, logl, logl_invalid[i]);
667 }
668 }
669
670 ATF_TC(log_zero);
671 ATF_TC_HEAD(log_zero, tc)
672 {
673 atf_tc_set_md_var(tc, "descr", "Test log/f/l on zero");
674 }
675 ATF_TC_BODY(log_zero, tc)
676 {
677
678 CHECK_EQ(0, logf, +0., -HUGE_VALF);
679 CHECK_EQ(0, log, +0., -HUGE_VAL);
680 CHECKL_EQ(0, logl, +0., -HUGE_VALL);
681
682 CHECK_EQ(1, logf, -0., -HUGE_VALF);
683 CHECK_EQ(1, log, -0., -HUGE_VAL);
684 CHECKL_EQ(1, logl, -0., -HUGE_VALL);
685 }
686
687 ATF_TC(log_exact);
688 ATF_TC_HEAD(log_exact, tc)
689 {
690 atf_tc_set_md_var(tc, "descr", "Test log/f/l exact cases");
691 }
692 ATF_TC_BODY(log_exact, tc)
693 {
694
695 CHECK_EQ(0, logf, 1, 0);
696 CHECK_EQ(0, log, 1, 0);
697 CHECKL_EQ(0, logl, 1, 0);
698
699 ATF_CHECK_EQ(signbit(logf(1)), 0);
700 ATF_CHECK_EQ(signbit(log(1)), 0);
701 ATF_CHECK_EQ(signbit(logl(1)), 0);
702 }
703
704 ATF_TC(log_approx);
705 ATF_TC_HEAD(log_approx, tc)
706 {
707 atf_tc_set_md_var(tc, "descr", "Test log/f/l approximate cases");
708 }
709 ATF_TC_BODY(log_approx, tc)
710 {
711 volatile long double e =
712 2.7182818284590452353602874713526624977572470937L;
713 volatile long double e2 =
714 7.3890560989306502272304274605750078131803155705519L;
715 volatile long double log_2 =
716 0.69314718055994530941723212145817656807550013436025L;
717 volatile long double log_10 =
718 2.30258509299404568401799145468436420760110148862875L;
719
720 #if __HAVE_LONG_DOUBLE + 0 == 128
721 atf_tc_expect_fail("PR lib/58337: logl() crashes on arm64");
722 #endif
723
724 ATF_CHECK_MSG(fabsf((logf(2) - log_2)/log_2) < 2*FLT_EPSILON,
725 "logf(2)=%a=%.8g expected %a=%.8g",
726 logf(2), logf(2), (float)log_2, (float)log_2);
727 ATF_CHECK_MSG(fabs((log(2) - log_2)/log_2) < 2*DBL_EPSILON,
728 "log(2)=%a=%.17g expected %a=%.17g",
729 log(2), log(2), (double)log_2, (double)log_2);
730 ATF_CHECK_MSG(fabsl((logl(2) - log_2)/log_2) < 2*LDBL_EPSILON,
731 "logl(2)=%La=%.34Lg expected %La=%.34Lg",
732 logl(2), logl(2), log_2, log_2);
733
734 ATF_CHECK_MSG(fabsf((logf(e) - 1)/1) < 2*FLT_EPSILON,
735 "logf(e)=%a=%.8g", logf(e), logf(e));
736 ATF_CHECK_MSG(fabs((log(e) - 1)/1) < 2*DBL_EPSILON,
737 "log(e)=%a=%.17g", log(e), log(e));
738 ATF_CHECK_MSG(fabsl((logl(e) - 1)/1) < 2*LDBL_EPSILON,
739 "logl(e)=%La=%.34Lg", logl(e), logl(e));
740
741 ATF_CHECK_MSG(fabsf((logf(e2) - 2)/2) < 2*FLT_EPSILON,
742 "logf(e)=%a=%.8g", logf(e2), logf(e2));
743 ATF_CHECK_MSG(fabs((log(e2) - 2)/2) < 2*DBL_EPSILON,
744 "log(e)=%a=%.17g", log(e2), log(e2));
745 ATF_CHECK_MSG(fabsl((logl(e2) - 2)/2) < 2*LDBL_EPSILON,
746 "logl(e)=%La=%.34Lg", logl(e2), logl(e2));
747
748 ATF_CHECK_MSG(fabsf((logf(10) - log_10)/log_10) < 2*FLT_EPSILON,
749 "logf(10)=%a=%.8g expected %a=%.8g",
750 logf(10), logf(10), (float)log_10, (float)log_10);
751 ATF_CHECK_MSG(fabs((log(10) - log_10)/log_10) < 2*DBL_EPSILON,
752 "log(10)=%a=%.17g expected %a=%.17g",
753 log(10), log(10), (double)log_10, (double)log_10);
754 ATF_CHECK_MSG(fabsl((logl(10) - log_10)/log_10) < 2*LDBL_EPSILON,
755 "logl(10)=%La=%.34Lg expected %La=%.34Lg",
756 logl(10), logl(10), log_10, log_10);
757 }
758
759 ATF_TC(log_inf);
760 ATF_TC_HEAD(log_inf, tc)
761 {
762 atf_tc_set_md_var(tc, "descr", "Test log/f/l on +infinity");
763 }
764 ATF_TC_BODY(log_inf, tc)
765 {
766
767 if (!isinf(INFINITY))
768 atf_tc_skip("no infinities on this architecture");
769
770 CHECK_EQ(0, logf, INFINITY, INFINITY);
771 CHECK_EQ(0, log, INFINITY, INFINITY);
772 CHECKL_EQ(0, logl, INFINITY, INFINITY);
773 }
774
775 ATF_TP_ADD_TCS(tp)
776 {
777
778 ATF_TP_ADD_TC(tp, log10_invalid);
779 ATF_TP_ADD_TC(tp, log10_zero);
780 ATF_TP_ADD_TC(tp, log10_exact);
781 ATF_TP_ADD_TC(tp, log10_approx);
782 ATF_TP_ADD_TC(tp, log10_inf);
783
784 ATF_TP_ADD_TC(tp, log1p_invalid);
785 ATF_TP_ADD_TC(tp, log1p_neg_one);
786 ATF_TP_ADD_TC(tp, log1p_exact);
787 ATF_TP_ADD_TC(tp, log1p_approx);
788 ATF_TP_ADD_TC(tp, log1p_inf);
789
790 ATF_TP_ADD_TC(tp, log2_invalid);
791 ATF_TP_ADD_TC(tp, log2_zero);
792 ATF_TP_ADD_TC(tp, log2_exact);
793 ATF_TP_ADD_TC(tp, log2_approx);
794 ATF_TP_ADD_TC(tp, log2_inf);
795
796 ATF_TP_ADD_TC(tp, log_invalid);
797 ATF_TP_ADD_TC(tp, log_zero);
798 ATF_TP_ADD_TC(tp, log_exact);
799 ATF_TP_ADD_TC(tp, log_approx);
800 ATF_TP_ADD_TC(tp, log_inf);
801
802 return atf_no_error();
803 }
804