1/* $NetBSD: t_cos.c,v 1.9 2019/05/27 00:10:36 maya 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
32#include <assert.h>
33#include <atf-c.h>
34#include <float.h>
35#include <math.h>
36
37static const struct {
38	int		angle;
39	double		x;
40	double		y;
41	float		fy;
42} angles[] = {
43	{ -180, -3.141592653589793, -1.0000000000000000, 999 },
44	{ -135, -2.356194490192345, -0.7071067811865476, 999 },
45	{  -90, -1.5707963267948966, 6.123233995736766e-17, -4.3711388e-08 },
46	{  -90, -1.5707963267948968, -1.6081226496766366e-16, -4.3711388e-08 },
47	{  -45, -0.785398163397448,  0.7071067811865478, 999 },
48	{    0,  0.000000000000000,  1.0000000000000000, 999 },
49	{   30,  0.523598775598299,  0.8660254037844386, 999 },
50	{   45,  0.785398163397448,  0.7071067811865478, 999 },
51	{   60,  1.0471975511965976,  0.5000000000000001, 999 },
52	{   60,  1.0471975511965979,  0.4999999999999999, 999 },
53	{   90,  1.570796326794897, -3.8285686989269494e-16, -4.3711388e-08 },
54	{  120,  2.0943951023931953, -0.4999999999999998, 999 },
55	{  120,  2.0943951023931957, -0.5000000000000002, 999 },
56	{  135,  2.356194490192345, -0.7071067811865476, 999 },
57	{  150,  2.617993877991494, -0.8660254037844386, 999 },
58	{  180,  3.141592653589793, -1.0000000000000000, 999 },
59	{  270,  4.712388980384690, -1.8369701987210297e-16, 1.1924881e-08 },
60	{  360,  6.283185307179586,  1.0000000000000000, 999 },
61};
62
63#ifdef __HAVE_LONG_DOUBLE
64/*
65 * cosl(3)
66 */
67ATF_TC(cosl_angles);
68ATF_TC_HEAD(cosl_angles, tc)
69{
70	atf_tc_set_md_var(tc, "descr", "Test some selected angles");
71}
72
73ATF_TC_BODY(cosl_angles, tc)
74{
75	/*
76	 * XXX The given data is for double, so take that
77	 * into account and expect less precise results..
78	 */
79	const long double eps = DBL_EPSILON;
80	size_t i;
81
82	for (i = 0; i < __arraycount(angles); i++) {
83		int deg = angles[i].angle;
84		long double theta = angles[i].x;
85		long double cos_theta = angles[i].y;
86
87		assert(cos_theta != 0);
88		if (!(fabsl((cosl(theta) - cos_theta)/cos_theta) <= eps)) {
89			atf_tc_fail_nonfatal("cos(%d deg = %.17Lg) = %.17Lg"
90			    " != %.17Lg",
91			    deg, theta, cosl(theta), cos_theta);
92		}
93	}
94}
95
96ATF_TC(cosl_nan);
97ATF_TC_HEAD(cosl_nan, tc)
98{
99	atf_tc_set_md_var(tc, "descr", "Test cosl(NaN) == NaN");
100}
101
102ATF_TC_BODY(cosl_nan, tc)
103{
104	const long double x = 0.0L / 0.0L;
105
106	ATF_CHECK(isnan(x) != 0);
107	ATF_CHECK(isnan(cosl(x)) != 0);
108}
109
110ATF_TC(cosl_inf_neg);
111ATF_TC_HEAD(cosl_inf_neg, tc)
112{
113	atf_tc_set_md_var(tc, "descr", "Test cosl(-Inf) == NaN");
114}
115
116ATF_TC_BODY(cosl_inf_neg, tc)
117{
118	const long double x = -1.0L / 0.0L;
119
120	ATF_CHECK(isnan(cosl(x)) != 0);
121}
122
123ATF_TC(cosl_inf_pos);
124ATF_TC_HEAD(cosl_inf_pos, tc)
125{
126	atf_tc_set_md_var(tc, "descr", "Test cosl(+Inf) == NaN");
127}
128
129ATF_TC_BODY(cosl_inf_pos, tc)
130{
131	const long double x = 1.0L / 0.0L;
132
133	ATF_CHECK(isnan(cosl(x)) != 0);
134}
135
136
137ATF_TC(cosl_zero_neg);
138ATF_TC_HEAD(cosl_zero_neg, tc)
139{
140	atf_tc_set_md_var(tc, "descr", "Test cosl(-0.0) == 1.0");
141}
142
143ATF_TC_BODY(cosl_zero_neg, tc)
144{
145	const long double x = -0.0L;
146
147	ATF_CHECK(cosl(x) == 1.0);
148}
149
150ATF_TC(cosl_zero_pos);
151ATF_TC_HEAD(cosl_zero_pos, tc)
152{
153	atf_tc_set_md_var(tc, "descr", "Test cosl(+0.0) == 1.0");
154}
155
156ATF_TC_BODY(cosl_zero_pos, tc)
157{
158	const long double x = 0.0L;
159
160	ATF_CHECK(cosl(x) == 1.0);
161}
162#endif
163
164/*
165 * cos(3)
166 */
167ATF_TC(cos_angles);
168ATF_TC_HEAD(cos_angles, tc)
169{
170	atf_tc_set_md_var(tc, "descr", "Test some selected angles");
171}
172
173ATF_TC_BODY(cos_angles, tc)
174{
175	const double eps = DBL_EPSILON;
176	size_t i;
177
178	for (i = 0; i < __arraycount(angles); i++) {
179		int deg = angles[i].angle;
180		double theta = angles[i].x;
181		double cos_theta = angles[i].y;
182
183		assert(cos_theta != 0);
184		if (!(fabs((cos(theta) - cos_theta)/cos_theta) <= eps)) {
185			atf_tc_fail_nonfatal("cos(%d deg = %.17g) = %.17g"
186			    " != %.17g",
187			    deg, theta, cos(theta), cos_theta);
188		}
189	}
190}
191
192ATF_TC(cos_nan);
193ATF_TC_HEAD(cos_nan, tc)
194{
195	atf_tc_set_md_var(tc, "descr", "Test cos(NaN) == NaN");
196}
197
198ATF_TC_BODY(cos_nan, tc)
199{
200	const double x = 0.0L / 0.0L;
201
202	ATF_CHECK(isnan(x) != 0);
203	ATF_CHECK(isnan(cos(x)) != 0);
204}
205
206ATF_TC(cos_inf_neg);
207ATF_TC_HEAD(cos_inf_neg, tc)
208{
209	atf_tc_set_md_var(tc, "descr", "Test cos(-Inf) == NaN");
210}
211
212ATF_TC_BODY(cos_inf_neg, tc)
213{
214	const double x = -1.0L / 0.0L;
215
216	ATF_CHECK(isnan(cos(x)) != 0);
217}
218
219ATF_TC(cos_inf_pos);
220ATF_TC_HEAD(cos_inf_pos, tc)
221{
222	atf_tc_set_md_var(tc, "descr", "Test cos(+Inf) == NaN");
223}
224
225ATF_TC_BODY(cos_inf_pos, tc)
226{
227	const double x = 1.0L / 0.0L;
228
229	ATF_CHECK(isnan(cos(x)) != 0);
230}
231
232
233ATF_TC(cos_zero_neg);
234ATF_TC_HEAD(cos_zero_neg, tc)
235{
236	atf_tc_set_md_var(tc, "descr", "Test cos(-0.0) == 1.0");
237}
238
239ATF_TC_BODY(cos_zero_neg, tc)
240{
241	const double x = -0.0L;
242
243	ATF_CHECK(cos(x) == 1.0);
244}
245
246ATF_TC(cos_zero_pos);
247ATF_TC_HEAD(cos_zero_pos, tc)
248{
249	atf_tc_set_md_var(tc, "descr", "Test cos(+0.0) == 1.0");
250}
251
252ATF_TC_BODY(cos_zero_pos, tc)
253{
254	const double x = 0.0L;
255
256	ATF_CHECK(cos(x) == 1.0);
257}
258
259/*
260 * cosf(3)
261 */
262ATF_TC(cosf_angles);
263ATF_TC_HEAD(cosf_angles, tc)
264{
265	atf_tc_set_md_var(tc, "descr", "Test some selected angles");
266}
267
268ATF_TC_BODY(cosf_angles, tc)
269{
270	const float eps = FLT_EPSILON;
271	size_t i;
272
273	for (i = 0; i < __arraycount(angles); i++) {
274		int deg = angles[i].angle;
275		float theta = angles[i].x;
276		float cos_theta = angles[i].fy;
277
278		/*
279		 * Force rounding to float even if FLT_EVAL_METHOD=2,
280		 * as is the case on i386.
281		 *
282		 * The volatile should not be necessary, by C99 Sec.
283		 * 5.2.4.2.2. para. 8 on p. 24 which specifies that
284		 * assignment and cast remove all extra range and precision,
285		 * but seems to be needed to work around a compiler bug.
286		 */
287		volatile float result = cosf(theta);
288
289		if (cos_theta == 999)
290			cos_theta = angles[i].y;
291
292		assert(cos_theta != 0);
293		if (!(fabsf((result - cos_theta)/cos_theta) <= eps)) {
294			atf_tc_fail_nonfatal("cosf(%d deg = %.8g) = %.8g"
295			    " != %.8g", deg, theta, result, cos_theta);
296		}
297	}
298}
299
300ATF_TC(cosf_nan);
301ATF_TC_HEAD(cosf_nan, tc)
302{
303	atf_tc_set_md_var(tc, "descr", "Test cosf(NaN) == NaN");
304}
305
306ATF_TC_BODY(cosf_nan, tc)
307{
308	const float x = 0.0L / 0.0L;
309
310	ATF_CHECK(isnan(x) != 0);
311	ATF_CHECK(isnan(cosf(x)) != 0);
312}
313
314ATF_TC(cosf_inf_neg);
315ATF_TC_HEAD(cosf_inf_neg, tc)
316{
317	atf_tc_set_md_var(tc, "descr", "Test cosf(-Inf) == NaN");
318}
319
320ATF_TC_BODY(cosf_inf_neg, tc)
321{
322	const float x = -1.0L / 0.0L;
323
324	if (isnan(cosf(x)) == 0) {
325		atf_tc_expect_fail("PR lib/45362");
326		atf_tc_fail("cosf(-Inf) != NaN");
327	}
328}
329
330ATF_TC(cosf_inf_pos);
331ATF_TC_HEAD(cosf_inf_pos, tc)
332{
333	atf_tc_set_md_var(tc, "descr", "Test cosf(+Inf) == NaN");
334}
335
336ATF_TC_BODY(cosf_inf_pos, tc)
337{
338	const float x = 1.0L / 0.0L;
339
340	if (isnan(cosf(x)) == 0) {
341		atf_tc_expect_fail("PR lib/45362");
342		atf_tc_fail("cosf(+Inf) != NaN");
343	}
344}
345
346
347ATF_TC(cosf_zero_neg);
348ATF_TC_HEAD(cosf_zero_neg, tc)
349{
350	atf_tc_set_md_var(tc, "descr", "Test cosf(-0.0) == 1.0");
351}
352
353ATF_TC_BODY(cosf_zero_neg, tc)
354{
355	const float x = -0.0L;
356
357	ATF_CHECK(cosf(x) == 1.0);
358}
359
360ATF_TC(cosf_zero_pos);
361ATF_TC_HEAD(cosf_zero_pos, tc)
362{
363	atf_tc_set_md_var(tc, "descr", "Test cosf(+0.0) == 1.0");
364}
365
366ATF_TC_BODY(cosf_zero_pos, tc)
367{
368	const float x = 0.0L;
369
370	ATF_CHECK(cosf(x) == 1.0);
371}
372
373ATF_TP_ADD_TCS(tp)
374{
375#ifdef __HAVE_LONG_DOUBLE
376	ATF_TP_ADD_TC(tp, cosl_angles);
377	ATF_TP_ADD_TC(tp, cosl_nan);
378	ATF_TP_ADD_TC(tp, cosl_inf_neg);
379	ATF_TP_ADD_TC(tp, cosl_inf_pos);
380	ATF_TP_ADD_TC(tp, cosl_zero_neg);
381	ATF_TP_ADD_TC(tp, cosl_zero_pos);
382#endif
383
384	ATF_TP_ADD_TC(tp, cos_angles);
385	ATF_TP_ADD_TC(tp, cos_nan);
386	ATF_TP_ADD_TC(tp, cos_inf_neg);
387	ATF_TP_ADD_TC(tp, cos_inf_pos);
388	ATF_TP_ADD_TC(tp, cos_zero_neg);
389	ATF_TP_ADD_TC(tp, cos_zero_pos);
390
391	ATF_TP_ADD_TC(tp, cosf_angles);
392	ATF_TP_ADD_TC(tp, cosf_nan);
393	ATF_TP_ADD_TC(tp, cosf_inf_neg);
394	ATF_TP_ADD_TC(tp, cosf_inf_pos);
395	ATF_TP_ADD_TC(tp, cosf_zero_neg);
396	ATF_TP_ADD_TC(tp, cosf_zero_pos);
397
398	return atf_no_error();
399}
400