1/* $NetBSD: t_tan.c,v 1.7 2018/11/07 04:00:13 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
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,  1.2246467991473532e-16, -8.7422777e-08 },
44	{ -135, -2.356194490192345,  1.0000000000000002, 999 },
45	{  -45, -0.785398163397448, -0.9999999999999992, 999 },
46	{    0,  0.000000000000000,  0.0000000000000000, 999 },
47	{   30,  0.5235987755982988, 0.57735026918962573, 999 },
48	{   45,  0.785398163397448,  0.9999999999999992, 999 },
49	{   60,  1.047197551196598,  1.7320508075688785,  1.7320509 },
50	{  120,  2.094395102393195, -1.7320508075688801, -1.7320505 },
51	{  135,  2.356194490192345, -1.0000000000000002, 999 },
52	{  150,  2.617993877991494, -0.57735026918962629, -0.57735032 },
53	{  180,  3.141592653589793, -1.2246467991473532e-16, 8.7422777e-08 },
54	{  360,  6.283185307179586, -2.4492935982947064e-16, 1.7484555e-07 },
55};
56
57/*
58 * tan(3)
59 */
60ATF_TC(tan_angles);
61ATF_TC_HEAD(tan_angles, tc)
62{
63	atf_tc_set_md_var(tc, "descr", "Test some selected angles");
64}
65
66ATF_TC_BODY(tan_angles, tc)
67{
68	const double eps = DBL_EPSILON;
69	size_t i;
70
71	for (i = 0; i < __arraycount(angles); i++) {
72		int deg = angles[i].angle;
73		double theta = angles[i].x;
74		double tan_theta = angles[i].y;
75		bool ok;
76
77		if (theta == 0) {
78			/* Should be computed exactly.  */
79			assert(tan_theta == 0);
80			ok = (tan(theta) == 0);
81		} else {
82			assert(tan_theta != 0);
83			ok = (fabs((tan(theta) - tan_theta)/tan_theta) <= eps);
84		}
85
86		if (!ok) {
87			atf_tc_fail_nonfatal("tan(%d deg = %.17g) = %.17g"
88			    " != %.17g",
89			    deg, theta, tan(theta), tan_theta);
90		}
91	}
92}
93
94ATF_TC(tan_nan);
95ATF_TC_HEAD(tan_nan, tc)
96{
97	atf_tc_set_md_var(tc, "descr", "Test tan(NaN) == NaN");
98}
99
100ATF_TC_BODY(tan_nan, tc)
101{
102	const double x = 0.0L / 0.0L;
103
104	ATF_CHECK(isnan(x) != 0);
105	ATF_CHECK(isnan(tan(x)) != 0);
106}
107
108ATF_TC(tan_inf_neg);
109ATF_TC_HEAD(tan_inf_neg, tc)
110{
111	atf_tc_set_md_var(tc, "descr", "Test tan(-Inf) == NaN");
112}
113
114ATF_TC_BODY(tan_inf_neg, tc)
115{
116	const double x = -1.0L / 0.0L;
117
118	ATF_CHECK(isnan(tan(x)) != 0);
119}
120
121ATF_TC(tan_inf_pos);
122ATF_TC_HEAD(tan_inf_pos, tc)
123{
124	atf_tc_set_md_var(tc, "descr", "Test tan(+Inf) == NaN");
125}
126
127ATF_TC_BODY(tan_inf_pos, tc)
128{
129	const double x = 1.0L / 0.0L;
130
131	ATF_CHECK(isnan(tan(x)) != 0);
132}
133
134
135ATF_TC(tan_zero_neg);
136ATF_TC_HEAD(tan_zero_neg, tc)
137{
138	atf_tc_set_md_var(tc, "descr", "Test tan(-0.0) == -0.0");
139}
140
141ATF_TC_BODY(tan_zero_neg, tc)
142{
143	const double x = -0.0L;
144
145	ATF_CHECK(tan(x) == x);
146}
147
148ATF_TC(tan_zero_pos);
149ATF_TC_HEAD(tan_zero_pos, tc)
150{
151	atf_tc_set_md_var(tc, "descr", "Test tan(+0.0) == +0.0");
152}
153
154ATF_TC_BODY(tan_zero_pos, tc)
155{
156	const double x = 0.0L;
157
158	ATF_CHECK(tan(x) == x);
159}
160
161/*
162 * tanf(3)
163 */
164ATF_TC(tanf_angles);
165ATF_TC_HEAD(tanf_angles, tc)
166{
167	atf_tc_set_md_var(tc, "descr", "Test some selected angles");
168}
169
170ATF_TC_BODY(tanf_angles, tc)
171{
172	const float eps = FLT_EPSILON;
173	size_t i;
174
175	for (i = 0; i < __arraycount(angles); i++) {
176		int deg = angles[i].angle;
177		float theta = angles[i].x;
178		float tan_theta = angles[i].fy;
179		bool ok;
180
181		if (tan_theta == 999)
182			tan_theta = angles[i].y;
183
184		if (theta == 0) {
185			/* Should be computed exactly.  */
186			assert(tan_theta == 0);
187			ok = (tan(theta) == 0);
188		} else {
189			assert(tan_theta != 0);
190			ok = (fabsf((tanf(theta) - tan_theta)/tan_theta)
191			    <= eps);
192		}
193
194		if (!ok) {
195			atf_tc_fail_nonfatal("tanf(%d deg) = %.8g != %.8g",
196			    deg, tanf(theta), tan_theta);
197		}
198	}
199}
200
201ATF_TC(tanf_nan);
202ATF_TC_HEAD(tanf_nan, tc)
203{
204	atf_tc_set_md_var(tc, "descr", "Test tanf(NaN) == NaN");
205}
206
207ATF_TC_BODY(tanf_nan, tc)
208{
209	const float x = 0.0L / 0.0L;
210
211	ATF_CHECK(isnan(x) != 0);
212	ATF_CHECK(isnan(tanf(x)) != 0);
213}
214
215ATF_TC(tanf_inf_neg);
216ATF_TC_HEAD(tanf_inf_neg, tc)
217{
218	atf_tc_set_md_var(tc, "descr", "Test tanf(-Inf) == NaN");
219}
220
221ATF_TC_BODY(tanf_inf_neg, tc)
222{
223	const float x = -1.0L / 0.0L;
224
225	if (isnan(tanf(x)) == 0) {
226		atf_tc_expect_fail("PR lib/45362");
227		atf_tc_fail("tanf(-Inf) != NaN");
228	}
229}
230
231ATF_TC(tanf_inf_pos);
232ATF_TC_HEAD(tanf_inf_pos, tc)
233{
234	atf_tc_set_md_var(tc, "descr", "Test tanf(+Inf) == NaN");
235}
236
237ATF_TC_BODY(tanf_inf_pos, tc)
238{
239	const float x = 1.0L / 0.0L;
240
241	if (isnan(tanf(x)) == 0) {
242		atf_tc_expect_fail("PR lib/45362");
243		atf_tc_fail("tanf(+Inf) != NaN");
244	}
245}
246
247
248ATF_TC(tanf_zero_neg);
249ATF_TC_HEAD(tanf_zero_neg, tc)
250{
251	atf_tc_set_md_var(tc, "descr", "Test tanf(-0.0) == -0.0");
252}
253
254ATF_TC_BODY(tanf_zero_neg, tc)
255{
256	const float x = -0.0L;
257
258	ATF_CHECK(tanf(x) == x);
259}
260
261ATF_TC(tanf_zero_pos);
262ATF_TC_HEAD(tanf_zero_pos, tc)
263{
264	atf_tc_set_md_var(tc, "descr", "Test tanf(+0.0) == +0.0");
265}
266
267ATF_TC_BODY(tanf_zero_pos, tc)
268{
269	const float x = 0.0L;
270
271	ATF_CHECK(tanf(x) == x);
272}
273
274ATF_TP_ADD_TCS(tp)
275{
276
277	ATF_TP_ADD_TC(tp, tan_angles);
278	ATF_TP_ADD_TC(tp, tan_nan);
279	ATF_TP_ADD_TC(tp, tan_inf_neg);
280	ATF_TP_ADD_TC(tp, tan_inf_pos);
281	ATF_TP_ADD_TC(tp, tan_zero_neg);
282	ATF_TP_ADD_TC(tp, tan_zero_pos);
283
284	ATF_TP_ADD_TC(tp, tanf_angles);
285	ATF_TP_ADD_TC(tp, tanf_nan);
286	ATF_TP_ADD_TC(tp, tanf_inf_neg);
287	ATF_TP_ADD_TC(tp, tanf_inf_pos);
288	ATF_TP_ADD_TC(tp, tanf_zero_neg);
289	ATF_TP_ADD_TC(tp, tanf_zero_pos);
290
291	return atf_no_error();
292}
293