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);
ATF_TC_HEAD(sqrt_nan,tc)43 ATF_TC_HEAD(sqrt_nan, tc)
44 {
45 atf_tc_set_md_var(tc, "descr", "Test sqrt(NaN) == NaN");
46 }
47
ATF_TC_BODY(sqrt_nan,tc)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);
ATF_TC_HEAD(sqrt_pow,tc)57 ATF_TC_HEAD(sqrt_pow, tc)
58 {
59 atf_tc_set_md_var(tc, "descr", "Test sqrt(3) vs. pow(3)");
60 }
61
ATF_TC_BODY(sqrt_pow,tc)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);
ATF_TC_HEAD(sqrt_inf_neg,tc)88 ATF_TC_HEAD(sqrt_inf_neg, tc)
89 {
90 atf_tc_set_md_var(tc, "descr", "Test sqrt(-Inf) == NaN");
91 }
92
ATF_TC_BODY(sqrt_inf_neg,tc)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);
ATF_TC_HEAD(sqrt_inf_pos,tc)102 ATF_TC_HEAD(sqrt_inf_pos, tc)
103 {
104 atf_tc_set_md_var(tc, "descr", "Test sqrt(+Inf) == +Inf");
105 }
106
ATF_TC_BODY(sqrt_inf_pos,tc)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);
ATF_TC_HEAD(sqrt_zero_neg,tc)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
ATF_TC_BODY(sqrt_zero_neg,tc)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);
ATF_TC_HEAD(sqrt_zero_pos,tc)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
ATF_TC_BODY(sqrt_zero_pos,tc)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);
ATF_TC_HEAD(sqrtf_nan,tc)150 ATF_TC_HEAD(sqrtf_nan, tc)
151 {
152 atf_tc_set_md_var(tc, "descr", "Test sqrtf(NaN) == NaN");
153 }
154
ATF_TC_BODY(sqrtf_nan,tc)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);
ATF_TC_HEAD(sqrtf_powf,tc)164 ATF_TC_HEAD(sqrtf_powf, tc)
165 {
166 atf_tc_set_md_var(tc, "descr", "Test sqrtf(3) vs. powf(3)");
167 }
168
ATF_TC_BODY(sqrtf_powf,tc)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);
ATF_TC_HEAD(sqrtf_inf_neg,tc)196 ATF_TC_HEAD(sqrtf_inf_neg, tc)
197 {
198 atf_tc_set_md_var(tc, "descr", "Test sqrtf(-Inf) == NaN");
199 }
200
ATF_TC_BODY(sqrtf_inf_neg,tc)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);
ATF_TC_HEAD(sqrtf_inf_pos,tc)210 ATF_TC_HEAD(sqrtf_inf_pos, tc)
211 {
212 atf_tc_set_md_var(tc, "descr", "Test sqrtf(+Inf) == +Inf");
213 }
214
ATF_TC_BODY(sqrtf_inf_pos,tc)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);
ATF_TC_HEAD(sqrtf_zero_neg,tc)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
ATF_TC_BODY(sqrtf_zero_neg,tc)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);
ATF_TC_HEAD(sqrtf_zero_pos,tc)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
ATF_TC_BODY(sqrtf_zero_pos,tc)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);
ATF_TC_HEAD(sqrtl_nan,tc)258 ATF_TC_HEAD(sqrtl_nan, tc)
259 {
260 atf_tc_set_md_var(tc, "descr", "Test sqrtl(NaN) == NaN");
261 }
262
ATF_TC_BODY(sqrtl_nan,tc)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);
ATF_TC_HEAD(sqrtl_powl,tc)272 ATF_TC_HEAD(sqrtl_powl, tc)
273 {
274 atf_tc_set_md_var(tc, "descr", "Test sqrtl(3) vs. powl(3)");
275 }
276
ATF_TC_BODY(sqrtl_powl,tc)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);
ATF_TC_HEAD(sqrtl_inf_neg,tc)303 ATF_TC_HEAD(sqrtl_inf_neg, tc)
304 {
305 atf_tc_set_md_var(tc, "descr", "Test sqrtl(-Inf) == NaN");
306 }
307
ATF_TC_BODY(sqrtl_inf_neg,tc)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);
ATF_TC_HEAD(sqrtl_inf_pos,tc)317 ATF_TC_HEAD(sqrtl_inf_pos, tc)
318 {
319 atf_tc_set_md_var(tc, "descr", "Test sqrtl(+Inf) == +Inf");
320 }
321
ATF_TC_BODY(sqrtl_inf_pos,tc)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);
ATF_TC_HEAD(sqrtl_zero_neg,tc)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
ATF_TC_BODY(sqrtl_zero_neg,tc)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);
ATF_TC_HEAD(sqrtl_zero_pos,tc)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
ATF_TC_BODY(sqrtl_zero_pos,tc)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
ATF_TP_ADD_TCS(tp)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