xref: /netbsd-src/tests/lib/libm/t_cbrt.c (revision fb834229e7dee0e847178f84ee9082c5ff1ed30d)
1 /* $NetBSD: t_cbrt.c,v 1.6 2024/04/03 01:52:28 christos 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_cbrt.c,v 1.6 2024/04/03 01:52:28 christos Exp $");
33 
34 #include <atf-c.h>
35 #include <float.h>
36 #include <math.h>
37 #include <stdio.h>
38 
39 /*
40  * cbrt(3)
41  */
42 ATF_TC(cbrt_nan);
ATF_TC_HEAD(cbrt_nan,tc)43 ATF_TC_HEAD(cbrt_nan, tc)
44 {
45 	atf_tc_set_md_var(tc, "descr", "Test cbrt(NaN) == NaN");
46 }
47 
ATF_TC_BODY(cbrt_nan,tc)48 ATF_TC_BODY(cbrt_nan, tc)
49 {
50 	const double x = 0.0L / 0.0L;
51 
52 	ATF_CHECK(isnan(x) != 0);
53 	ATF_CHECK(isnan(cbrt(x)) != 0);
54 }
55 
56 ATF_TC(cbrt_pow);
ATF_TC_HEAD(cbrt_pow,tc)57 ATF_TC_HEAD(cbrt_pow, tc)
58 {
59 	atf_tc_set_md_var(tc, "descr", "Test cbrt(3) vs. pow(3)");
60 }
61 
ATF_TC_BODY(cbrt_pow,tc)62 ATF_TC_BODY(cbrt_pow, tc)
63 {
64 	const double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.0 };
65 	/* Neither cbrt nor pow is required to be correctly rounded.  */
66 	const double eps = 2*DBL_EPSILON;
67 	size_t i;
68 
69 	for (i = 0; i < __arraycount(x); i++) {
70 		double x_cbrt = cbrt(x[i]);
71 		double x_pow13 = pow(x[i], 1.0 / 3.0);
72 		bool ok;
73 
74 		if (x[i] == 0) {
75 			ok = (x_cbrt == x_pow13);
76 		} else {
77 			ok = (fabs((x_cbrt - x_pow13)/x_cbrt) <= eps);
78 		}
79 
80 		if (!ok) {
81 			atf_tc_fail_nonfatal("cbrt(%.17g) = %.17g != "
82 			    "pow(%.17g, 1/3) = %.17g\n",
83 			    x[i], x_cbrt, x[i], x_pow13);
84 		}
85 	}
86 }
87 
88 ATF_TC(cbrt_inf_neg);
ATF_TC_HEAD(cbrt_inf_neg,tc)89 ATF_TC_HEAD(cbrt_inf_neg, tc)
90 {
91 	atf_tc_set_md_var(tc, "descr", "Test cbrt(-Inf) == -Inf");
92 }
93 
ATF_TC_BODY(cbrt_inf_neg,tc)94 ATF_TC_BODY(cbrt_inf_neg, tc)
95 {
96 	const double x = -1.0L / 0.0L;
97 	double y = cbrt(x);
98 
99 	ATF_CHECK(isinf(y) != 0);
100 	ATF_CHECK(signbit(y) != 0);
101 }
102 
103 ATF_TC(cbrt_inf_pos);
ATF_TC_HEAD(cbrt_inf_pos,tc)104 ATF_TC_HEAD(cbrt_inf_pos, tc)
105 {
106 	atf_tc_set_md_var(tc, "descr", "Test cbrt(+Inf) == +Inf");
107 }
108 
ATF_TC_BODY(cbrt_inf_pos,tc)109 ATF_TC_BODY(cbrt_inf_pos, tc)
110 {
111 	const double x = 1.0L / 0.0L;
112 	double y = cbrt(x);
113 
114 	ATF_CHECK(isinf(y) != 0);
115 	ATF_CHECK(signbit(y) == 0);
116 }
117 
118 ATF_TC(cbrt_zero_neg);
ATF_TC_HEAD(cbrt_zero_neg,tc)119 ATF_TC_HEAD(cbrt_zero_neg, tc)
120 {
121 	atf_tc_set_md_var(tc, "descr", "Test cbrt(-0.0) == -0.0");
122 }
123 
ATF_TC_BODY(cbrt_zero_neg,tc)124 ATF_TC_BODY(cbrt_zero_neg, tc)
125 {
126 	const double x = -0.0L;
127 	double y = cbrt(x);
128 
129 	if (fabs(y) > 0.0 || signbit(y) == 0)
130 		atf_tc_fail_nonfatal("cbrt(-0.0) != -0.0");
131 }
132 
133 ATF_TC(cbrt_zero_pos);
ATF_TC_HEAD(cbrt_zero_pos,tc)134 ATF_TC_HEAD(cbrt_zero_pos, tc)
135 {
136 	atf_tc_set_md_var(tc, "descr", "Test cbrt(+0.0) == +0.0");
137 }
138 
ATF_TC_BODY(cbrt_zero_pos,tc)139 ATF_TC_BODY(cbrt_zero_pos, tc)
140 {
141 	const double x = 0.0L;
142 	double y = cbrt(x);
143 
144 	if (fabs(y) > 0.0 || signbit(y) != 0)
145 		atf_tc_fail_nonfatal("cbrt(+0.0) != +0.0");
146 }
147 
148 /*
149  * cbrtf(3)
150  */
151 ATF_TC(cbrtf_nan);
ATF_TC_HEAD(cbrtf_nan,tc)152 ATF_TC_HEAD(cbrtf_nan, tc)
153 {
154 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(NaN) == NaN");
155 }
156 
ATF_TC_BODY(cbrtf_nan,tc)157 ATF_TC_BODY(cbrtf_nan, tc)
158 {
159 	const float x = 0.0L / 0.0L;
160 
161 	ATF_CHECK(isnan(x) != 0);
162 	ATF_CHECK(isnan(cbrtf(x)) != 0);
163 }
164 
165 ATF_TC(cbrtf_powf);
ATF_TC_HEAD(cbrtf_powf,tc)166 ATF_TC_HEAD(cbrtf_powf, tc)
167 {
168 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(3) vs. powf(3)");
169 }
170 
ATF_TC_BODY(cbrtf_powf,tc)171 ATF_TC_BODY(cbrtf_powf, tc)
172 {
173 	const float x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.0 };
174 	/* Neither cbrt nor pow is required to be correctly rounded.  */
175 	const float eps = 2*FLT_EPSILON;
176 	size_t i;
177 
178 	for (i = 0; i < __arraycount(x); i++) {
179 		float x_cbrt = cbrtf(x[i]);
180 		float x_pow13 = powf(x[i], 1.0 / 3.0);
181 		bool ok;
182 
183 		if (x[i] == 0) {
184 			ok = (x_cbrt == x_pow13);
185 		} else {
186 			ok = (fabsf((x_cbrt - x_pow13)/x_cbrt) <= eps);
187 		}
188 
189 		if (!ok) {
190 			atf_tc_fail_nonfatal("cbrtf(%.9g) = %.9g. != "
191 			    "powf(%.9g, 1/3) = %.9g\n",
192 			    (double)x[i], (double)x_cbrt,
193 			    (double)x[i], (double)x_pow13);
194 		}
195 	}
196 }
197 
198 ATF_TC(cbrtf_inf_neg);
ATF_TC_HEAD(cbrtf_inf_neg,tc)199 ATF_TC_HEAD(cbrtf_inf_neg, tc)
200 {
201 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(-Inf) == -Inf");
202 }
203 
ATF_TC_BODY(cbrtf_inf_neg,tc)204 ATF_TC_BODY(cbrtf_inf_neg, tc)
205 {
206 	const float x = -1.0L / 0.0L;
207 	float y = cbrtf(x);
208 
209 	ATF_CHECK(isinf(y) != 0);
210 	ATF_CHECK(signbit(y) != 0);
211 }
212 
213 ATF_TC(cbrtf_inf_pos);
ATF_TC_HEAD(cbrtf_inf_pos,tc)214 ATF_TC_HEAD(cbrtf_inf_pos, tc)
215 {
216 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(+Inf) == +Inf");
217 }
218 
ATF_TC_BODY(cbrtf_inf_pos,tc)219 ATF_TC_BODY(cbrtf_inf_pos, tc)
220 {
221 	const float x = 1.0L / 0.0L;
222 	float y = cbrtf(x);
223 
224 	ATF_CHECK(isinf(y) != 0);
225 	ATF_CHECK(signbit(y) == 0);
226 }
227 
228 ATF_TC(cbrtf_zero_neg);
ATF_TC_HEAD(cbrtf_zero_neg,tc)229 ATF_TC_HEAD(cbrtf_zero_neg, tc)
230 {
231 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(-0.0) == -0.0");
232 }
233 
ATF_TC_BODY(cbrtf_zero_neg,tc)234 ATF_TC_BODY(cbrtf_zero_neg, tc)
235 {
236 	const float x = -0.0L;
237 	float y = cbrtf(x);
238 
239 	if (fabsf(y) > 0.0 || signbit(y) == 0)
240 		atf_tc_fail_nonfatal("cbrtf(-0.0) != -0.0");
241 }
242 
243 ATF_TC(cbrtf_zero_pos);
ATF_TC_HEAD(cbrtf_zero_pos,tc)244 ATF_TC_HEAD(cbrtf_zero_pos, tc)
245 {
246 	atf_tc_set_md_var(tc, "descr", "Test cbrtf(+0.0) == +0.0");
247 }
248 
ATF_TC_BODY(cbrtf_zero_pos,tc)249 ATF_TC_BODY(cbrtf_zero_pos, tc)
250 {
251 	const float x = 0.0L;
252 	float y = cbrtf(x);
253 
254 	if (fabsf(y) > 0.0 || signbit(y) != 0)
255 		atf_tc_fail_nonfatal("cbrtf(+0.0) != +0.0");
256 }
257 
258 /*
259  * cbrtl(3)
260  */
261 ATF_TC(cbrtl_nan);
ATF_TC_HEAD(cbrtl_nan,tc)262 ATF_TC_HEAD(cbrtl_nan, tc)
263 {
264 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(NaN) == NaN");
265 }
266 
ATF_TC_BODY(cbrtl_nan,tc)267 ATF_TC_BODY(cbrtl_nan, tc)
268 {
269 	const long double x = 0.0L / 0.0L;
270 
271 	ATF_CHECK(isnan(x) != 0);
272 	ATF_CHECK(isnan(cbrtl(x)) != 0);
273 }
274 
275 ATF_TC(cbrtl_powl);
ATF_TC_HEAD(cbrtl_powl,tc)276 ATF_TC_HEAD(cbrtl_powl, tc)
277 {
278 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(3) vs. powl(3)");
279 }
280 
ATF_TC_BODY(cbrtl_powl,tc)281 ATF_TC_BODY(cbrtl_powl, tc)
282 {
283 	const long double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.0 };
284 	/* Neither cbrt nor pow is required to be correctly rounded.  */
285 	const long double eps = 2*LDBL_EPSILON;
286 	size_t i;
287 
288 	for (i = 0; i < __arraycount(x); i++) {
289 		long double x_cbrt = cbrtl(x[i]);
290 		long double x_pow13 = powl(x[i], 1.0L / 3.0L);
291 		bool ok;
292 
293 		if (x[i] == 0) {
294 			ok = (x_cbrt == x_pow13);
295 		} else {
296 			ok = (fabsl((x_cbrt - x_pow13)/x_cbrt) <= eps);
297 		}
298 
299 		if (!ok) {
300 			atf_tc_fail_nonfatal("cbrtl(%.35Lg) = %.35Lg != "
301 			    "powl(%.35Lg, 1/3) = %.35Lg\n",
302 			    x[i], x_cbrt, x[i], x_pow13);
303 		}
304 	}
305 }
306 
307 ATF_TC(cbrtl_inf_neg);
ATF_TC_HEAD(cbrtl_inf_neg,tc)308 ATF_TC_HEAD(cbrtl_inf_neg, tc)
309 {
310 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(-Inf) == -Inf");
311 }
312 
ATF_TC_BODY(cbrtl_inf_neg,tc)313 ATF_TC_BODY(cbrtl_inf_neg, tc)
314 {
315 	const long double x = -1.0L / 0.0L;
316 	long double y = cbrtl(x);
317 
318 	ATF_CHECK(isinf(y) != 0);
319 	ATF_CHECK(signbit(y) != 0);
320 }
321 
322 ATF_TC(cbrtl_inf_pos);
ATF_TC_HEAD(cbrtl_inf_pos,tc)323 ATF_TC_HEAD(cbrtl_inf_pos, tc)
324 {
325 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(+Inf) == +Inf");
326 }
327 
ATF_TC_BODY(cbrtl_inf_pos,tc)328 ATF_TC_BODY(cbrtl_inf_pos, tc)
329 {
330 	const long double x = 1.0L / 0.0L;
331 	long double y = cbrtl(x);
332 
333 	ATF_CHECK(isinf(y) != 0);
334 	ATF_CHECK(signbit(y) == 0);
335 }
336 
337 ATF_TC(cbrtl_zero_neg);
ATF_TC_HEAD(cbrtl_zero_neg,tc)338 ATF_TC_HEAD(cbrtl_zero_neg, tc)
339 {
340 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(-0.0) == -0.0");
341 }
342 
ATF_TC_BODY(cbrtl_zero_neg,tc)343 ATF_TC_BODY(cbrtl_zero_neg, tc)
344 {
345 	const long double x = -0.0L;
346 	long double y = cbrtl(x);
347 
348 	if (fabsl(y) > 0.0 || signbit(y) == 0)
349 		atf_tc_fail_nonfatal("cbrtl(-0.0) != -0.0");
350 }
351 
352 ATF_TC(cbrtl_zero_pos);
ATF_TC_HEAD(cbrtl_zero_pos,tc)353 ATF_TC_HEAD(cbrtl_zero_pos, tc)
354 {
355 	atf_tc_set_md_var(tc, "descr", "Test cbrtl(+0.0) == +0.0");
356 }
357 
ATF_TC_BODY(cbrtl_zero_pos,tc)358 ATF_TC_BODY(cbrtl_zero_pos, tc)
359 {
360 	const long double x = 0.0L;
361 	long double y = cbrtl(x);
362 
363 	if (fabsl(y) > 0.0 || signbit(y) != 0)
364 		atf_tc_fail_nonfatal("cbrtl(+0.0) != +0.0");
365 }
366 
ATF_TP_ADD_TCS(tp)367 ATF_TP_ADD_TCS(tp)
368 {
369 
370 	ATF_TP_ADD_TC(tp, cbrt_nan);
371 	ATF_TP_ADD_TC(tp, cbrt_pow);
372 	ATF_TP_ADD_TC(tp, cbrt_inf_neg);
373 	ATF_TP_ADD_TC(tp, cbrt_inf_pos);
374 	ATF_TP_ADD_TC(tp, cbrt_zero_neg);
375 	ATF_TP_ADD_TC(tp, cbrt_zero_pos);
376 
377 	ATF_TP_ADD_TC(tp, cbrtf_nan);
378 	ATF_TP_ADD_TC(tp, cbrtf_powf);
379 	ATF_TP_ADD_TC(tp, cbrtf_inf_neg);
380 	ATF_TP_ADD_TC(tp, cbrtf_inf_pos);
381 	ATF_TP_ADD_TC(tp, cbrtf_zero_neg);
382 	ATF_TP_ADD_TC(tp, cbrtf_zero_pos);
383 
384 	ATF_TP_ADD_TC(tp, cbrtl_nan);
385 	ATF_TP_ADD_TC(tp, cbrtl_powl);
386 	ATF_TP_ADD_TC(tp, cbrtl_inf_neg);
387 	ATF_TP_ADD_TC(tp, cbrtl_inf_pos);
388 	ATF_TP_ADD_TC(tp, cbrtl_zero_neg);
389 	ATF_TP_ADD_TC(tp, cbrtl_zero_pos);
390 
391 	return atf_no_error();
392 }
393