xref: /freebsd/contrib/netbsd-tests/lib/libm/t_tan.c (revision 95ee2897e98f5d444f26ed2334cc7c439f9c16c6)
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 
37 static 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  */
60 ATF_TC(tan_angles);
61 ATF_TC_HEAD(tan_angles, tc)
62 {
63 	atf_tc_set_md_var(tc, "descr", "Test some selected angles");
64 }
65 
66 ATF_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 
94 ATF_TC(tan_nan);
95 ATF_TC_HEAD(tan_nan, tc)
96 {
97 	atf_tc_set_md_var(tc, "descr", "Test tan(NaN) == NaN");
98 }
99 
100 ATF_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 
108 ATF_TC(tan_inf_neg);
109 ATF_TC_HEAD(tan_inf_neg, tc)
110 {
111 	atf_tc_set_md_var(tc, "descr", "Test tan(-Inf) == NaN");
112 }
113 
114 ATF_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 
121 ATF_TC(tan_inf_pos);
122 ATF_TC_HEAD(tan_inf_pos, tc)
123 {
124 	atf_tc_set_md_var(tc, "descr", "Test tan(+Inf) == NaN");
125 }
126 
127 ATF_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 
135 ATF_TC(tan_zero_neg);
136 ATF_TC_HEAD(tan_zero_neg, tc)
137 {
138 	atf_tc_set_md_var(tc, "descr", "Test tan(-0.0) == -0.0");
139 }
140 
141 ATF_TC_BODY(tan_zero_neg, tc)
142 {
143 	const double x = -0.0L;
144 
145 	ATF_CHECK(tan(x) == x);
146 }
147 
148 ATF_TC(tan_zero_pos);
149 ATF_TC_HEAD(tan_zero_pos, tc)
150 {
151 	atf_tc_set_md_var(tc, "descr", "Test tan(+0.0) == +0.0");
152 }
153 
154 ATF_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  */
164 ATF_TC(tanf_angles);
165 ATF_TC_HEAD(tanf_angles, tc)
166 {
167 	atf_tc_set_md_var(tc, "descr", "Test some selected angles");
168 }
169 
170 ATF_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 
201 ATF_TC(tanf_nan);
202 ATF_TC_HEAD(tanf_nan, tc)
203 {
204 	atf_tc_set_md_var(tc, "descr", "Test tanf(NaN) == NaN");
205 }
206 
207 ATF_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 
215 ATF_TC(tanf_inf_neg);
216 ATF_TC_HEAD(tanf_inf_neg, tc)
217 {
218 	atf_tc_set_md_var(tc, "descr", "Test tanf(-Inf) == NaN");
219 }
220 
221 ATF_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 
231 ATF_TC(tanf_inf_pos);
232 ATF_TC_HEAD(tanf_inf_pos, tc)
233 {
234 	atf_tc_set_md_var(tc, "descr", "Test tanf(+Inf) == NaN");
235 }
236 
237 ATF_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 
248 ATF_TC(tanf_zero_neg);
249 ATF_TC_HEAD(tanf_zero_neg, tc)
250 {
251 	atf_tc_set_md_var(tc, "descr", "Test tanf(-0.0) == -0.0");
252 }
253 
254 ATF_TC_BODY(tanf_zero_neg, tc)
255 {
256 	const float x = -0.0L;
257 
258 	ATF_CHECK(tanf(x) == x);
259 }
260 
261 ATF_TC(tanf_zero_pos);
262 ATF_TC_HEAD(tanf_zero_pos, tc)
263 {
264 	atf_tc_set_md_var(tc, "descr", "Test tanf(+0.0) == +0.0");
265 }
266 
267 ATF_TC_BODY(tanf_zero_pos, tc)
268 {
269 	const float x = 0.0L;
270 
271 	ATF_CHECK(tanf(x) == x);
272 }
273 
274 ATF_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