1 /* $NetBSD: t_sqrt.c,v 1.7 2014/03/12 21:40:07 martin 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 1.7 2014/03/12 21:40:07 martin 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 #if __DBL_MIN_10_EXP__ <= -40
66 const double eps = 1.0e-40;
67 #else
68 const double eps = __DBL_MIN__*4.0;
69 #endif
70 double y, z;
71 size_t i;
72
73 for (i = 0; i < __arraycount(x); i++) {
74
75 y = sqrt(x[i]);
76 z = pow(x[i], 1.0 / 2.0);
77
78 if (fabs(y - z) > eps)
79 atf_tc_fail_nonfatal("sqrt(%0.03f) != "
80 "pow(%0.03f, 1/2)\n", x[i], x[i]);
81 }
82 }
83
84 ATF_TC(sqrt_inf_neg);
ATF_TC_HEAD(sqrt_inf_neg,tc)85 ATF_TC_HEAD(sqrt_inf_neg, tc)
86 {
87 atf_tc_set_md_var(tc, "descr", "Test sqrt(-Inf) == NaN");
88 }
89
ATF_TC_BODY(sqrt_inf_neg,tc)90 ATF_TC_BODY(sqrt_inf_neg, tc)
91 {
92 const double x = -1.0L / 0.0L;
93 double y = sqrt(x);
94
95 ATF_CHECK(isnan(y) != 0);
96 }
97
98 ATF_TC(sqrt_inf_pos);
ATF_TC_HEAD(sqrt_inf_pos,tc)99 ATF_TC_HEAD(sqrt_inf_pos, tc)
100 {
101 atf_tc_set_md_var(tc, "descr", "Test sqrt(+Inf) == +Inf");
102 }
103
ATF_TC_BODY(sqrt_inf_pos,tc)104 ATF_TC_BODY(sqrt_inf_pos, tc)
105 {
106 const double x = 1.0L / 0.0L;
107 double y = sqrt(x);
108
109 ATF_CHECK(isinf(y) != 0);
110 ATF_CHECK(signbit(y) == 0);
111 }
112
113 ATF_TC(sqrt_zero_neg);
ATF_TC_HEAD(sqrt_zero_neg,tc)114 ATF_TC_HEAD(sqrt_zero_neg, tc)
115 {
116 atf_tc_set_md_var(tc, "descr", "Test sqrt(-0.0) == -0.0");
117 }
118
ATF_TC_BODY(sqrt_zero_neg,tc)119 ATF_TC_BODY(sqrt_zero_neg, tc)
120 {
121 const double x = -0.0L;
122 double y = sqrt(x);
123
124 if (fabs(y) > 0.0 || signbit(y) == 0)
125 atf_tc_fail_nonfatal("sqrt(-0.0) != -0.0");
126 }
127
128 ATF_TC(sqrt_zero_pos);
ATF_TC_HEAD(sqrt_zero_pos,tc)129 ATF_TC_HEAD(sqrt_zero_pos, tc)
130 {
131 atf_tc_set_md_var(tc, "descr", "Test sqrt(+0.0) == +0.0");
132 }
133
ATF_TC_BODY(sqrt_zero_pos,tc)134 ATF_TC_BODY(sqrt_zero_pos, tc)
135 {
136 const double x = 0.0L;
137 double y = sqrt(x);
138
139 if (fabs(y) > 0.0 || signbit(y) != 0)
140 atf_tc_fail_nonfatal("sqrt(+0.0) != +0.0");
141 }
142
143 /*
144 * sqrtf(3)
145 */
146 ATF_TC(sqrtf_nan);
ATF_TC_HEAD(sqrtf_nan,tc)147 ATF_TC_HEAD(sqrtf_nan, tc)
148 {
149 atf_tc_set_md_var(tc, "descr", "Test sqrtf(NaN) == NaN");
150 }
151
ATF_TC_BODY(sqrtf_nan,tc)152 ATF_TC_BODY(sqrtf_nan, tc)
153 {
154 const float x = 0.0L / 0.0L;
155
156 ATF_CHECK(isnan(x) != 0);
157 ATF_CHECK(isnan(sqrtf(x)) != 0);
158 }
159
160 ATF_TC(sqrtf_powf);
ATF_TC_HEAD(sqrtf_powf,tc)161 ATF_TC_HEAD(sqrtf_powf, tc)
162 {
163 atf_tc_set_md_var(tc, "descr", "Test sqrtf(3) vs. powf(3)");
164 }
165
ATF_TC_BODY(sqrtf_powf,tc)166 ATF_TC_BODY(sqrtf_powf, tc)
167 {
168 const float x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
169 const float eps = 1.0e-30;
170 volatile float y, z;
171 size_t i;
172
173 for (i = 0; i < __arraycount(x); i++) {
174
175 y = sqrtf(x[i]);
176 z = powf(x[i], 1.0 / 2.0);
177
178 if (fabsf(y - z) > eps)
179 atf_tc_fail_nonfatal("sqrtf(%0.03f) != "
180 "powf(%0.03f, 1/2)\n", x[i], x[i]);
181 }
182 }
183
184 ATF_TC(sqrtf_inf_neg);
ATF_TC_HEAD(sqrtf_inf_neg,tc)185 ATF_TC_HEAD(sqrtf_inf_neg, tc)
186 {
187 atf_tc_set_md_var(tc, "descr", "Test sqrtf(-Inf) == NaN");
188 }
189
ATF_TC_BODY(sqrtf_inf_neg,tc)190 ATF_TC_BODY(sqrtf_inf_neg, tc)
191 {
192 const float x = -1.0L / 0.0L;
193 float y = sqrtf(x);
194
195 ATF_CHECK(isnan(y) != 0);
196 }
197
198 ATF_TC(sqrtf_inf_pos);
ATF_TC_HEAD(sqrtf_inf_pos,tc)199 ATF_TC_HEAD(sqrtf_inf_pos, tc)
200 {
201 atf_tc_set_md_var(tc, "descr", "Test sqrtf(+Inf) == +Inf");
202 }
203
ATF_TC_BODY(sqrtf_inf_pos,tc)204 ATF_TC_BODY(sqrtf_inf_pos, tc)
205 {
206 const float x = 1.0L / 0.0L;
207 float y = sqrtf(x);
208
209 ATF_CHECK(isinf(y) != 0);
210 ATF_CHECK(signbit(y) == 0);
211 }
212
213 ATF_TC(sqrtf_zero_neg);
ATF_TC_HEAD(sqrtf_zero_neg,tc)214 ATF_TC_HEAD(sqrtf_zero_neg, tc)
215 {
216 atf_tc_set_md_var(tc, "descr", "Test sqrtf(-0.0) == -0.0");
217 }
218
ATF_TC_BODY(sqrtf_zero_neg,tc)219 ATF_TC_BODY(sqrtf_zero_neg, tc)
220 {
221 const float x = -0.0L;
222 float y = sqrtf(x);
223
224 if (fabsf(y) > 0.0 || signbit(y) == 0)
225 atf_tc_fail_nonfatal("sqrtf(-0.0) != -0.0");
226 }
227
228 ATF_TC(sqrtf_zero_pos);
ATF_TC_HEAD(sqrtf_zero_pos,tc)229 ATF_TC_HEAD(sqrtf_zero_pos, tc)
230 {
231 atf_tc_set_md_var(tc, "descr", "Test sqrtf(+0.0) == +0.0");
232 }
233
ATF_TC_BODY(sqrtf_zero_pos,tc)234 ATF_TC_BODY(sqrtf_zero_pos, tc)
235 {
236 const float x = 0.0L;
237 float y = sqrtf(x);
238
239 if (fabsf(y) > 0.0 || signbit(y) != 0)
240 atf_tc_fail_nonfatal("sqrtf(+0.0) != +0.0");
241 }
242
243 /*
244 * sqrtl(3)
245 */
246 ATF_TC(sqrtl_nan);
ATF_TC_HEAD(sqrtl_nan,tc)247 ATF_TC_HEAD(sqrtl_nan, tc)
248 {
249 atf_tc_set_md_var(tc, "descr", "Test sqrtl(NaN) == NaN");
250 }
251
ATF_TC_BODY(sqrtl_nan,tc)252 ATF_TC_BODY(sqrtl_nan, tc)
253 {
254 const long double x = 0.0L / 0.0L;
255
256 ATF_CHECK(isnan(x) != 0);
257 ATF_CHECK(isnan(sqrtl(x)) != 0);
258 }
259
260 ATF_TC(sqrtl_powl);
ATF_TC_HEAD(sqrtl_powl,tc)261 ATF_TC_HEAD(sqrtl_powl, tc)
262 {
263 atf_tc_set_md_var(tc, "descr", "Test sqrtl(3) vs. powl(3)");
264 }
265
ATF_TC_BODY(sqrtl_powl,tc)266 ATF_TC_BODY(sqrtl_powl, tc)
267 {
268 const long double x[] = { 0.0, 0.005, 1.0, 99.0, 123.123, 9999.9999 };
269 const long double eps = 5.0*DBL_EPSILON; /* XXX powl == pow for now */
270 volatile long double y, z;
271 size_t i;
272
273 for (i = 0; i < __arraycount(x); i++) {
274
275 y = sqrtl(x[i]);
276 z = powl(x[i], 1.0 / 2.0);
277
278 if (fabsl(y - z) > eps)
279 atf_tc_fail_nonfatal("sqrtl(%0.03Lf) != "
280 "powl(%0.03Lf, 1/2)\n", x[i], x[i]);
281 }
282 }
283
284 ATF_TC(sqrtl_inf_neg);
ATF_TC_HEAD(sqrtl_inf_neg,tc)285 ATF_TC_HEAD(sqrtl_inf_neg, tc)
286 {
287 atf_tc_set_md_var(tc, "descr", "Test sqrtl(-Inf) == NaN");
288 }
289
ATF_TC_BODY(sqrtl_inf_neg,tc)290 ATF_TC_BODY(sqrtl_inf_neg, tc)
291 {
292 const long double x = -1.0L / 0.0L;
293 long double y = sqrtl(x);
294
295 ATF_CHECK(isnan(y) != 0);
296 }
297
298 ATF_TC(sqrtl_inf_pos);
ATF_TC_HEAD(sqrtl_inf_pos,tc)299 ATF_TC_HEAD(sqrtl_inf_pos, tc)
300 {
301 atf_tc_set_md_var(tc, "descr", "Test sqrtl(+Inf) == +Inf");
302 }
303
ATF_TC_BODY(sqrtl_inf_pos,tc)304 ATF_TC_BODY(sqrtl_inf_pos, tc)
305 {
306 const long double x = 1.0L / 0.0L;
307 long double y = sqrtl(x);
308
309 ATF_CHECK(isinf(y) != 0);
310 ATF_CHECK(signbit(y) == 0);
311 }
312
313 ATF_TC(sqrtl_zero_neg);
ATF_TC_HEAD(sqrtl_zero_neg,tc)314 ATF_TC_HEAD(sqrtl_zero_neg, tc)
315 {
316 atf_tc_set_md_var(tc, "descr", "Test sqrtl(-0.0) == -0.0");
317 }
318
ATF_TC_BODY(sqrtl_zero_neg,tc)319 ATF_TC_BODY(sqrtl_zero_neg, tc)
320 {
321 const long double x = -0.0L;
322 long double y = sqrtl(x);
323
324 if (fabsl(y) > 0.0 || signbit(y) == 0)
325 atf_tc_fail_nonfatal("sqrtl(-0.0) != -0.0");
326 }
327
328 ATF_TC(sqrtl_zero_pos);
ATF_TC_HEAD(sqrtl_zero_pos,tc)329 ATF_TC_HEAD(sqrtl_zero_pos, tc)
330 {
331 atf_tc_set_md_var(tc, "descr", "Test sqrtl(+0.0) == +0.0");
332 }
333
ATF_TC_BODY(sqrtl_zero_pos,tc)334 ATF_TC_BODY(sqrtl_zero_pos, tc)
335 {
336 const long double x = 0.0L;
337 long double y = sqrtl(x);
338
339 if (fabsl(y) > 0.0 || signbit(y) != 0)
340 atf_tc_fail_nonfatal("sqrtl(+0.0) != +0.0");
341 }
342
ATF_TP_ADD_TCS(tp)343 ATF_TP_ADD_TCS(tp)
344 {
345
346 ATF_TP_ADD_TC(tp, sqrt_nan);
347 ATF_TP_ADD_TC(tp, sqrt_pow);
348 ATF_TP_ADD_TC(tp, sqrt_inf_neg);
349 ATF_TP_ADD_TC(tp, sqrt_inf_pos);
350 ATF_TP_ADD_TC(tp, sqrt_zero_neg);
351 ATF_TP_ADD_TC(tp, sqrt_zero_pos);
352
353 ATF_TP_ADD_TC(tp, sqrtf_nan);
354 ATF_TP_ADD_TC(tp, sqrtf_powf);
355 ATF_TP_ADD_TC(tp, sqrtf_inf_neg);
356 ATF_TP_ADD_TC(tp, sqrtf_inf_pos);
357 ATF_TP_ADD_TC(tp, sqrtf_zero_neg);
358 ATF_TP_ADD_TC(tp, sqrtf_zero_pos);
359
360 ATF_TP_ADD_TC(tp, sqrtl_nan);
361 ATF_TP_ADD_TC(tp, sqrtl_powl);
362 ATF_TP_ADD_TC(tp, sqrtl_inf_neg);
363 ATF_TP_ADD_TC(tp, sqrtl_inf_pos);
364 ATF_TP_ADD_TC(tp, sqrtl_zero_neg);
365 ATF_TP_ADD_TC(tp, sqrtl_zero_pos);
366
367 return atf_no_error();
368 }
369