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 */
42ATF_TC(sqrt_nan);
43ATF_TC_HEAD(sqrt_nan, tc)
44{
45	atf_tc_set_md_var(tc, "descr", "Test sqrt(NaN) == NaN");
46}
47
48ATF_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
56ATF_TC(sqrt_pow);
57ATF_TC_HEAD(sqrt_pow, tc)
58{
59	atf_tc_set_md_var(tc, "descr", "Test sqrt(3) vs. pow(3)");
60}
61
62ATF_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
84ATF_TC(sqrt_inf_neg);
85ATF_TC_HEAD(sqrt_inf_neg, tc)
86{
87	atf_tc_set_md_var(tc, "descr", "Test sqrt(-Inf) == NaN");
88}
89
90ATF_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
98ATF_TC(sqrt_inf_pos);
99ATF_TC_HEAD(sqrt_inf_pos, tc)
100{
101	atf_tc_set_md_var(tc, "descr", "Test sqrt(+Inf) == +Inf");
102}
103
104ATF_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
113ATF_TC(sqrt_zero_neg);
114ATF_TC_HEAD(sqrt_zero_neg, tc)
115{
116	atf_tc_set_md_var(tc, "descr", "Test sqrt(-0.0) == -0.0");
117}
118
119ATF_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
128ATF_TC(sqrt_zero_pos);
129ATF_TC_HEAD(sqrt_zero_pos, tc)
130{
131	atf_tc_set_md_var(tc, "descr", "Test sqrt(+0.0) == +0.0");
132}
133
134ATF_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 */
146ATF_TC(sqrtf_nan);
147ATF_TC_HEAD(sqrtf_nan, tc)
148{
149	atf_tc_set_md_var(tc, "descr", "Test sqrtf(NaN) == NaN");
150}
151
152ATF_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
160ATF_TC(sqrtf_powf);
161ATF_TC_HEAD(sqrtf_powf, tc)
162{
163	atf_tc_set_md_var(tc, "descr", "Test sqrtf(3) vs. powf(3)");
164}
165
166ATF_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
184ATF_TC(sqrtf_inf_neg);
185ATF_TC_HEAD(sqrtf_inf_neg, tc)
186{
187	atf_tc_set_md_var(tc, "descr", "Test sqrtf(-Inf) == NaN");
188}
189
190ATF_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
198ATF_TC(sqrtf_inf_pos);
199ATF_TC_HEAD(sqrtf_inf_pos, tc)
200{
201	atf_tc_set_md_var(tc, "descr", "Test sqrtf(+Inf) == +Inf");
202}
203
204ATF_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
213ATF_TC(sqrtf_zero_neg);
214ATF_TC_HEAD(sqrtf_zero_neg, tc)
215{
216	atf_tc_set_md_var(tc, "descr", "Test sqrtf(-0.0) == -0.0");
217}
218
219ATF_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
228ATF_TC(sqrtf_zero_pos);
229ATF_TC_HEAD(sqrtf_zero_pos, tc)
230{
231	atf_tc_set_md_var(tc, "descr", "Test sqrtf(+0.0) == +0.0");
232}
233
234ATF_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 */
246ATF_TC(sqrtl_nan);
247ATF_TC_HEAD(sqrtl_nan, tc)
248{
249	atf_tc_set_md_var(tc, "descr", "Test sqrtl(NaN) == NaN");
250}
251
252ATF_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
260ATF_TC(sqrtl_powl);
261ATF_TC_HEAD(sqrtl_powl, tc)
262{
263	atf_tc_set_md_var(tc, "descr", "Test sqrtl(3) vs. powl(3)");
264}
265
266ATF_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
284ATF_TC(sqrtl_inf_neg);
285ATF_TC_HEAD(sqrtl_inf_neg, tc)
286{
287	atf_tc_set_md_var(tc, "descr", "Test sqrtl(-Inf) == NaN");
288}
289
290ATF_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
298ATF_TC(sqrtl_inf_pos);
299ATF_TC_HEAD(sqrtl_inf_pos, tc)
300{
301	atf_tc_set_md_var(tc, "descr", "Test sqrtl(+Inf) == +Inf");
302}
303
304ATF_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
313ATF_TC(sqrtl_zero_neg);
314ATF_TC_HEAD(sqrtl_zero_neg, tc)
315{
316	atf_tc_set_md_var(tc, "descr", "Test sqrtl(-0.0) == -0.0");
317}
318
319ATF_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
328ATF_TC(sqrtl_zero_pos);
329ATF_TC_HEAD(sqrtl_zero_pos, tc)
330{
331	atf_tc_set_md_var(tc, "descr", "Test sqrtl(+0.0) == +0.0");
332}
333
334ATF_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
343ATF_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