1 /* $NetBSD: t_tan.c,v 1.8 2024/06/09 16:53:12 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);
ATF_TC_HEAD(tan_angles,tc)61 ATF_TC_HEAD(tan_angles, tc)
62 {
63 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
64 }
65
ATF_TC_BODY(tan_angles,tc)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);
ATF_TC_HEAD(tan_nan,tc)95 ATF_TC_HEAD(tan_nan, tc)
96 {
97 atf_tc_set_md_var(tc, "descr", "Test tan(NaN) == NaN");
98 }
99
ATF_TC_BODY(tan_nan,tc)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);
ATF_TC_HEAD(tan_inf_neg,tc)109 ATF_TC_HEAD(tan_inf_neg, tc)
110 {
111 atf_tc_set_md_var(tc, "descr", "Test tan(-Inf) == NaN");
112 }
113
ATF_TC_BODY(tan_inf_neg,tc)114 ATF_TC_BODY(tan_inf_neg, tc)
115 {
116 const volatile double x = -1.0 / 0.0;
117 const double y = tan(x);
118
119 ATF_CHECK_MSG(isnan(y), "y=%a", y);
120 }
121
122 ATF_TC(tan_inf_pos);
ATF_TC_HEAD(tan_inf_pos,tc)123 ATF_TC_HEAD(tan_inf_pos, tc)
124 {
125 atf_tc_set_md_var(tc, "descr", "Test tan(+Inf) == NaN");
126 }
127
ATF_TC_BODY(tan_inf_pos,tc)128 ATF_TC_BODY(tan_inf_pos, tc)
129 {
130 const volatile double x = 1.0 / 0.0;
131 const double y = tan(x);
132
133 ATF_CHECK_MSG(isnan(y), "y=%a", y);
134 }
135
136
137 ATF_TC(tan_zero_neg);
ATF_TC_HEAD(tan_zero_neg,tc)138 ATF_TC_HEAD(tan_zero_neg, tc)
139 {
140 atf_tc_set_md_var(tc, "descr", "Test tan(-0.0) == -0.0");
141 }
142
ATF_TC_BODY(tan_zero_neg,tc)143 ATF_TC_BODY(tan_zero_neg, tc)
144 {
145 const double x = -0.0L;
146
147 ATF_CHECK(tan(x) == x);
148 }
149
150 ATF_TC(tan_zero_pos);
ATF_TC_HEAD(tan_zero_pos,tc)151 ATF_TC_HEAD(tan_zero_pos, tc)
152 {
153 atf_tc_set_md_var(tc, "descr", "Test tan(+0.0) == +0.0");
154 }
155
ATF_TC_BODY(tan_zero_pos,tc)156 ATF_TC_BODY(tan_zero_pos, tc)
157 {
158 const double x = 0.0L;
159
160 ATF_CHECK(tan(x) == x);
161 }
162
163 /*
164 * tanf(3)
165 */
166 ATF_TC(tanf_angles);
ATF_TC_HEAD(tanf_angles,tc)167 ATF_TC_HEAD(tanf_angles, tc)
168 {
169 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
170 }
171
ATF_TC_BODY(tanf_angles,tc)172 ATF_TC_BODY(tanf_angles, tc)
173 {
174 const float eps = FLT_EPSILON;
175 size_t i;
176
177 for (i = 0; i < __arraycount(angles); i++) {
178 int deg = angles[i].angle;
179 float theta = angles[i].x;
180 float tan_theta = angles[i].fy;
181 bool ok;
182
183 if (tan_theta == 999)
184 tan_theta = angles[i].y;
185
186 if (theta == 0) {
187 /* Should be computed exactly. */
188 assert(tan_theta == 0);
189 ok = (tan(theta) == 0);
190 } else {
191 assert(tan_theta != 0);
192 ok = (fabsf((tanf(theta) - tan_theta)/tan_theta)
193 <= eps);
194 }
195
196 if (!ok) {
197 atf_tc_fail_nonfatal("tanf(%d deg) = %.8g != %.8g",
198 deg, tanf(theta), tan_theta);
199 }
200 }
201 }
202
203 ATF_TC(tanf_nan);
ATF_TC_HEAD(tanf_nan,tc)204 ATF_TC_HEAD(tanf_nan, tc)
205 {
206 atf_tc_set_md_var(tc, "descr", "Test tanf(NaN) == NaN");
207 }
208
ATF_TC_BODY(tanf_nan,tc)209 ATF_TC_BODY(tanf_nan, tc)
210 {
211 const float x = 0.0L / 0.0L;
212
213 ATF_CHECK(isnan(x) != 0);
214 ATF_CHECK(isnan(tanf(x)) != 0);
215 }
216
217 ATF_TC(tanf_inf_neg);
ATF_TC_HEAD(tanf_inf_neg,tc)218 ATF_TC_HEAD(tanf_inf_neg, tc)
219 {
220 atf_tc_set_md_var(tc, "descr", "Test tanf(-Inf) == NaN");
221 }
222
ATF_TC_BODY(tanf_inf_neg,tc)223 ATF_TC_BODY(tanf_inf_neg, tc)
224 {
225 const volatile float x = -1.0f / 0.0f;
226 const float y = tanf(x);
227
228 ATF_CHECK_MSG(isnan(y), "y=%a", y);
229 }
230
231 ATF_TC(tanf_inf_pos);
ATF_TC_HEAD(tanf_inf_pos,tc)232 ATF_TC_HEAD(tanf_inf_pos, tc)
233 {
234 atf_tc_set_md_var(tc, "descr", "Test tanf(+Inf) == NaN");
235 }
236
ATF_TC_BODY(tanf_inf_pos,tc)237 ATF_TC_BODY(tanf_inf_pos, tc)
238 {
239 const volatile float x = 1.0f / 0.0f;
240 const float y = tanf(x);
241
242 ATF_CHECK_MSG(isnan(y), "y=%a", y);
243 }
244
245
246 ATF_TC(tanf_zero_neg);
ATF_TC_HEAD(tanf_zero_neg,tc)247 ATF_TC_HEAD(tanf_zero_neg, tc)
248 {
249 atf_tc_set_md_var(tc, "descr", "Test tanf(-0.0) == -0.0");
250 }
251
ATF_TC_BODY(tanf_zero_neg,tc)252 ATF_TC_BODY(tanf_zero_neg, tc)
253 {
254 const float x = -0.0L;
255
256 ATF_CHECK(tanf(x) == x);
257 }
258
259 ATF_TC(tanf_zero_pos);
ATF_TC_HEAD(tanf_zero_pos,tc)260 ATF_TC_HEAD(tanf_zero_pos, tc)
261 {
262 atf_tc_set_md_var(tc, "descr", "Test tanf(+0.0) == +0.0");
263 }
264
ATF_TC_BODY(tanf_zero_pos,tc)265 ATF_TC_BODY(tanf_zero_pos, tc)
266 {
267 const float x = 0.0L;
268
269 ATF_CHECK(tanf(x) == x);
270 }
271
ATF_TP_ADD_TCS(tp)272 ATF_TP_ADD_TCS(tp)
273 {
274
275 ATF_TP_ADD_TC(tp, tan_angles);
276 ATF_TP_ADD_TC(tp, tan_nan);
277 ATF_TP_ADD_TC(tp, tan_inf_neg);
278 ATF_TP_ADD_TC(tp, tan_inf_pos);
279 ATF_TP_ADD_TC(tp, tan_zero_neg);
280 ATF_TP_ADD_TC(tp, tan_zero_pos);
281
282 ATF_TP_ADD_TC(tp, tanf_angles);
283 ATF_TP_ADD_TC(tp, tanf_nan);
284 ATF_TP_ADD_TC(tp, tanf_inf_neg);
285 ATF_TP_ADD_TC(tp, tanf_inf_pos);
286 ATF_TP_ADD_TC(tp, tanf_zero_neg);
287 ATF_TP_ADD_TC(tp, tanf_zero_pos);
288
289 return atf_no_error();
290 }
291