xref: /freebsd/contrib/netbsd-tests/lib/libm/t_sqrt.c (revision af23369a6deaaeb612ab266eb88b8bb8d560c322)
1 /* $NetBSD: t_sqrt.c,v 1.8 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_sqrt.c,v 1.8 2018/11/07 03:59:36 riastradh Exp $");
33 
34 #include <atf-c.h>
35 #include <math.h>
36 #include <float.h>
37 #include <stdio.h>
38 
39 /*
40  * sqrt(3)
41  */
42 ATF_TC(sqrt_nan);
43 ATF_TC_HEAD(sqrt_nan, tc)
44 {
45 	atf_tc_set_md_var(tc, "descr", "Test sqrt(NaN) == NaN");
46 }
47 
48 ATF_TC_BODY(sqrt_nan, tc)
49 {
50 	const double x = 0.0L / 0.0L;
51 
52 	ATF_CHECK(isnan(x) != 0);
53 	ATF_CHECK(isnan(sqrt(x)) != 0);
54 }
55 
56 ATF_TC(sqrt_pow);
57 ATF_TC_HEAD(sqrt_pow, tc)
58 {
59 	atf_tc_set_md_var(tc, "descr", "Test sqrt(3) vs. pow(3)");
60 }
61 
62 ATF_TC_BODY(sqrt_pow, tc)
63 {
64 	const double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
65 	const double eps = DBL_EPSILON;
66 	size_t i;
67 
68 	for (i = 0; i < __arraycount(x); i++) {
69 		double x_sqrt = sqrt(x[i]);
70 		double x_pow12 = pow(x[i], 1.0 / 2.0);
71 		bool ok;
72 
73 		if (x[i] == 0) {
74 			ok = (x_sqrt == x_pow12);
75 		} else {
76 			ok = (fabs((x_sqrt - x_pow12)/x_sqrt) <= eps);
77 		}
78 
79 		if (!ok) {
80 			atf_tc_fail_nonfatal("sqrt(%.17g) = %.17g != "
81 			    "pow(%.17g, 1/2) = %.17g\n",
82 			    x[i], x_sqrt, x[i], x_pow12);
83 		}
84 	}
85 }
86 
87 ATF_TC(sqrt_inf_neg);
88 ATF_TC_HEAD(sqrt_inf_neg, tc)
89 {
90 	atf_tc_set_md_var(tc, "descr", "Test sqrt(-Inf) == NaN");
91 }
92 
93 ATF_TC_BODY(sqrt_inf_neg, tc)
94 {
95 	const double x = -1.0L / 0.0L;
96 	double y = sqrt(x);
97 
98 	ATF_CHECK(isnan(y) != 0);
99 }
100 
101 ATF_TC(sqrt_inf_pos);
102 ATF_TC_HEAD(sqrt_inf_pos, tc)
103 {
104 	atf_tc_set_md_var(tc, "descr", "Test sqrt(+Inf) == +Inf");
105 }
106 
107 ATF_TC_BODY(sqrt_inf_pos, tc)
108 {
109 	const double x = 1.0L / 0.0L;
110 	double y = sqrt(x);
111 
112 	ATF_CHECK(isinf(y) != 0);
113 	ATF_CHECK(signbit(y) == 0);
114 }
115 
116 ATF_TC(sqrt_zero_neg);
117 ATF_TC_HEAD(sqrt_zero_neg, tc)
118 {
119 	atf_tc_set_md_var(tc, "descr", "Test sqrt(-0.0) == -0.0");
120 }
121 
122 ATF_TC_BODY(sqrt_zero_neg, tc)
123 {
124 	const double x = -0.0L;
125 	double y = sqrt(x);
126 
127 	if (fabs(y) > 0.0 || signbit(y) == 0)
128 		atf_tc_fail_nonfatal("sqrt(-0.0) != -0.0");
129 }
130 
131 ATF_TC(sqrt_zero_pos);
132 ATF_TC_HEAD(sqrt_zero_pos, tc)
133 {
134 	atf_tc_set_md_var(tc, "descr", "Test sqrt(+0.0) == +0.0");
135 }
136 
137 ATF_TC_BODY(sqrt_zero_pos, tc)
138 {
139 	const double x = 0.0L;
140 	double y = sqrt(x);
141 
142 	if (fabs(y) > 0.0 || signbit(y) != 0)
143 		atf_tc_fail_nonfatal("sqrt(+0.0) != +0.0");
144 }
145 
146 /*
147  * sqrtf(3)
148  */
149 ATF_TC(sqrtf_nan);
150 ATF_TC_HEAD(sqrtf_nan, tc)
151 {
152 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(NaN) == NaN");
153 }
154 
155 ATF_TC_BODY(sqrtf_nan, tc)
156 {
157 	const float x = 0.0L / 0.0L;
158 
159 	ATF_CHECK(isnan(x) != 0);
160 	ATF_CHECK(isnan(sqrtf(x)) != 0);
161 }
162 
163 ATF_TC(sqrtf_powf);
164 ATF_TC_HEAD(sqrtf_powf, tc)
165 {
166 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(3) vs. powf(3)");
167 }
168 
169 ATF_TC_BODY(sqrtf_powf, tc)
170 {
171 	const float x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
172 	const float eps = FLT_EPSILON;
173 	size_t i;
174 
175 	for (i = 0; i < __arraycount(x); i++) {
176 		float x_sqrt = sqrtf(x[i]);
177 		float x_pow12 = powf(x[i], 1.0 / 2.0);
178 		bool ok;
179 
180 		if (x[i] == 0) {
181 			ok = (x_sqrt == x_pow12);
182 		} else {
183 			ok = (fabsf((x_sqrt - x_pow12)/x_sqrt) <= eps);
184 		}
185 
186 		if (!ok) {
187 			atf_tc_fail_nonfatal("sqrtf(%.8g) = %.8g != "
188 			    "powf(%.8g, 1/2) = %.8g\n",
189 			    (double)x[i], (double)x_sqrt,
190 			    (double)x[i], (double)x_pow12);
191 		}
192 	}
193 }
194 
195 ATF_TC(sqrtf_inf_neg);
196 ATF_TC_HEAD(sqrtf_inf_neg, tc)
197 {
198 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(-Inf) == NaN");
199 }
200 
201 ATF_TC_BODY(sqrtf_inf_neg, tc)
202 {
203 	const float x = -1.0L / 0.0L;
204 	float y = sqrtf(x);
205 
206 	ATF_CHECK(isnan(y) != 0);
207 }
208 
209 ATF_TC(sqrtf_inf_pos);
210 ATF_TC_HEAD(sqrtf_inf_pos, tc)
211 {
212 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(+Inf) == +Inf");
213 }
214 
215 ATF_TC_BODY(sqrtf_inf_pos, tc)
216 {
217 	const float x = 1.0L / 0.0L;
218 	float y = sqrtf(x);
219 
220 	ATF_CHECK(isinf(y) != 0);
221 	ATF_CHECK(signbit(y) == 0);
222 }
223 
224 ATF_TC(sqrtf_zero_neg);
225 ATF_TC_HEAD(sqrtf_zero_neg, tc)
226 {
227 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(-0.0) == -0.0");
228 }
229 
230 ATF_TC_BODY(sqrtf_zero_neg, tc)
231 {
232 	const float x = -0.0L;
233 	float y = sqrtf(x);
234 
235 	if (fabsf(y) > 0.0 || signbit(y) == 0)
236 		atf_tc_fail_nonfatal("sqrtf(-0.0) != -0.0");
237 }
238 
239 ATF_TC(sqrtf_zero_pos);
240 ATF_TC_HEAD(sqrtf_zero_pos, tc)
241 {
242 	atf_tc_set_md_var(tc, "descr", "Test sqrtf(+0.0) == +0.0");
243 }
244 
245 ATF_TC_BODY(sqrtf_zero_pos, tc)
246 {
247 	const float x = 0.0L;
248 	float y = sqrtf(x);
249 
250 	if (fabsf(y) > 0.0 || signbit(y) != 0)
251 		atf_tc_fail_nonfatal("sqrtf(+0.0) != +0.0");
252 }
253 
254 /*
255  * sqrtl(3)
256  */
257 ATF_TC(sqrtl_nan);
258 ATF_TC_HEAD(sqrtl_nan, tc)
259 {
260 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(NaN) == NaN");
261 }
262 
263 ATF_TC_BODY(sqrtl_nan, tc)
264 {
265 	const long double x = 0.0L / 0.0L;
266 
267 	ATF_CHECK(isnan(x) != 0);
268 	ATF_CHECK(isnan(sqrtl(x)) != 0);
269 }
270 
271 ATF_TC(sqrtl_powl);
272 ATF_TC_HEAD(sqrtl_powl, tc)
273 {
274 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(3) vs. powl(3)");
275 }
276 
277 ATF_TC_BODY(sqrtl_powl, tc)
278 {
279 	const long double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
280 	const long double eps = DBL_EPSILON; /* XXX powl == pow for now */
281 	size_t i;
282 
283 	for (i = 0; i < __arraycount(x); i++) {
284 		long double x_sqrt = sqrtl(x[i]);
285 		long double x_pow12 = powl(x[i], 1.0 / 2.0);
286 		bool ok;
287 
288 		if (x[i] == 0) {
289 			ok = (x_sqrt == x_pow12);
290 		} else {
291 			ok = (fabsl((x_sqrt - x_pow12)/x_sqrt) <= eps);
292 		}
293 
294 		if (!ok) {
295 			atf_tc_fail_nonfatal("sqrtl(%.35Lg) = %.35Lg != "
296 			    "powl(%.35Lg, 1/2) = %.35Lg\n",
297 			    x[i], x_sqrt, x[i], x_pow12);
298 		}
299 	}
300 }
301 
302 ATF_TC(sqrtl_inf_neg);
303 ATF_TC_HEAD(sqrtl_inf_neg, tc)
304 {
305 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(-Inf) == NaN");
306 }
307 
308 ATF_TC_BODY(sqrtl_inf_neg, tc)
309 {
310 	const long double x = -1.0L / 0.0L;
311 	long double y = sqrtl(x);
312 
313 	ATF_CHECK(isnan(y) != 0);
314 }
315 
316 ATF_TC(sqrtl_inf_pos);
317 ATF_TC_HEAD(sqrtl_inf_pos, tc)
318 {
319 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(+Inf) == +Inf");
320 }
321 
322 ATF_TC_BODY(sqrtl_inf_pos, tc)
323 {
324 	const long double x = 1.0L / 0.0L;
325 	long double y = sqrtl(x);
326 
327 	ATF_CHECK(isinf(y) != 0);
328 	ATF_CHECK(signbit(y) == 0);
329 }
330 
331 ATF_TC(sqrtl_zero_neg);
332 ATF_TC_HEAD(sqrtl_zero_neg, tc)
333 {
334 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(-0.0) == -0.0");
335 }
336 
337 ATF_TC_BODY(sqrtl_zero_neg, tc)
338 {
339 	const long double x = -0.0L;
340 	long double y = sqrtl(x);
341 
342 	if (fabsl(y) > 0.0 || signbit(y) == 0)
343 		atf_tc_fail_nonfatal("sqrtl(-0.0) != -0.0");
344 }
345 
346 ATF_TC(sqrtl_zero_pos);
347 ATF_TC_HEAD(sqrtl_zero_pos, tc)
348 {
349 	atf_tc_set_md_var(tc, "descr", "Test sqrtl(+0.0) == +0.0");
350 }
351 
352 ATF_TC_BODY(sqrtl_zero_pos, tc)
353 {
354 	const long double x = 0.0L;
355 	long double y = sqrtl(x);
356 
357 	if (fabsl(y) > 0.0 || signbit(y) != 0)
358 		atf_tc_fail_nonfatal("sqrtl(+0.0) != +0.0");
359 }
360 
361 ATF_TP_ADD_TCS(tp)
362 {
363 
364 	ATF_TP_ADD_TC(tp, sqrt_nan);
365 	ATF_TP_ADD_TC(tp, sqrt_pow);
366 	ATF_TP_ADD_TC(tp, sqrt_inf_neg);
367 	ATF_TP_ADD_TC(tp, sqrt_inf_pos);
368 	ATF_TP_ADD_TC(tp, sqrt_zero_neg);
369 	ATF_TP_ADD_TC(tp, sqrt_zero_pos);
370 
371 	ATF_TP_ADD_TC(tp, sqrtf_nan);
372 	ATF_TP_ADD_TC(tp, sqrtf_powf);
373 	ATF_TP_ADD_TC(tp, sqrtf_inf_neg);
374 	ATF_TP_ADD_TC(tp, sqrtf_inf_pos);
375 	ATF_TP_ADD_TC(tp, sqrtf_zero_neg);
376 	ATF_TP_ADD_TC(tp, sqrtf_zero_pos);
377 
378 	ATF_TP_ADD_TC(tp, sqrtl_nan);
379 	ATF_TP_ADD_TC(tp, sqrtl_powl);
380 	ATF_TP_ADD_TC(tp, sqrtl_inf_neg);
381 	ATF_TP_ADD_TC(tp, sqrtl_inf_pos);
382 	ATF_TP_ADD_TC(tp, sqrtl_zero_neg);
383 	ATF_TP_ADD_TC(tp, sqrtl_zero_pos);
384 
385 	return atf_no_error();
386 }
387