1 /* $NetBSD: t_sin.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 { -360, -6.283185307179586, 2.4492935982947064e-16, -1.7484555e-07 },
44 { -180, -3.141592653589793, -1.2246467991473532e-16, 8.7422777e-08 },
45 { -135, -2.356194490192345, -0.7071067811865476, 999 },
46 { -90, -1.570796326794897, -1.0000000000000000, 999 },
47 { -45, -0.785398163397448, -0.7071067811865472, 999 },
48 { 0, 0.000000000000000, 0.0000000000000000, 999 },
49 { 30, 0.5235987755982989, 0.5000000000000000, 999 },
50 { 45, 0.785398163397448, 0.7071067811865472, 999 },
51 { 60, 1.047197551196598, 0.8660254037844388, 999 },
52 { 90, 1.570796326794897, 1.0000000000000000, 999 },
53 { 120, 2.094395102393195, 0.8660254037844389, 999 },
54 { 135, 2.356194490192345, 0.7071067811865476, 999 },
55 { 150, 2.617993877991494, 0.5000000000000003, 999 },
56 { 180, 3.141592653589793, 1.2246467991473532e-16, -8.7422777e-08 },
57 { 270, 4.712388980384690, -1.0000000000000000, 999 },
58 { 360, 6.283185307179586, -2.4492935982947064e-16, 1.7484555e-07 },
59 };
60
61 /*
62 * sin(3)
63 */
64 ATF_TC(sin_angles);
ATF_TC_HEAD(sin_angles,tc)65 ATF_TC_HEAD(sin_angles, tc)
66 {
67 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
68 }
69
ATF_TC_BODY(sin_angles,tc)70 ATF_TC_BODY(sin_angles, tc)
71 {
72 const double eps = DBL_EPSILON;
73 size_t i;
74
75 for (i = 0; i < __arraycount(angles); i++) {
76 int deg = angles[i].angle;
77 double theta = angles[i].x;
78 double sin_theta = angles[i].y;
79 bool ok;
80
81 if (sin_theta == 0) {
82 /* Should be computed exactly. */
83 assert(sin_theta == 0);
84 ok = (sin(theta) == 0);
85 } else {
86 assert(sin_theta != 0);
87 ok = (fabs((sin(theta) - sin_theta)/sin_theta) <= eps);
88 }
89
90 if (!ok) {
91 atf_tc_fail_nonfatal("sin(%d deg = %.17g) = %.17g"
92 " != %.17g",
93 deg, theta, sin(theta), sin_theta);
94 }
95 }
96 }
97
98 ATF_TC(sin_nan);
ATF_TC_HEAD(sin_nan,tc)99 ATF_TC_HEAD(sin_nan, tc)
100 {
101 atf_tc_set_md_var(tc, "descr", "Test sin(NaN) == NaN");
102 }
103
ATF_TC_BODY(sin_nan,tc)104 ATF_TC_BODY(sin_nan, tc)
105 {
106 const double x = 0.0L / 0.0L;
107
108 ATF_CHECK(isnan(x) != 0);
109 ATF_CHECK(isnan(sin(x)) != 0);
110 }
111
112 ATF_TC(sin_inf_neg);
ATF_TC_HEAD(sin_inf_neg,tc)113 ATF_TC_HEAD(sin_inf_neg, tc)
114 {
115 atf_tc_set_md_var(tc, "descr", "Test sin(-Inf) == NaN");
116 }
117
ATF_TC_BODY(sin_inf_neg,tc)118 ATF_TC_BODY(sin_inf_neg, tc)
119 {
120 const volatile double x = -1.0 / 0.0;
121 const double y = sin(x);
122
123 ATF_CHECK_MSG(isnan(y), "y=%a", y);
124 }
125
126 ATF_TC(sin_inf_pos);
ATF_TC_HEAD(sin_inf_pos,tc)127 ATF_TC_HEAD(sin_inf_pos, tc)
128 {
129 atf_tc_set_md_var(tc, "descr", "Test sin(+Inf) == NaN");
130 }
131
ATF_TC_BODY(sin_inf_pos,tc)132 ATF_TC_BODY(sin_inf_pos, tc)
133 {
134 const volatile double x = 1.0 / 0.0;
135 const double y = sin(x);
136
137 ATF_CHECK_MSG(isnan(y), "y=%a", y);
138 }
139
140
141 ATF_TC(sin_zero_neg);
ATF_TC_HEAD(sin_zero_neg,tc)142 ATF_TC_HEAD(sin_zero_neg, tc)
143 {
144 atf_tc_set_md_var(tc, "descr", "Test sin(-0.0) == -0.0");
145 }
146
ATF_TC_BODY(sin_zero_neg,tc)147 ATF_TC_BODY(sin_zero_neg, tc)
148 {
149 const double x = -0.0L;
150
151 ATF_CHECK(sin(x) == x);
152 }
153
154 ATF_TC(sin_zero_pos);
ATF_TC_HEAD(sin_zero_pos,tc)155 ATF_TC_HEAD(sin_zero_pos, tc)
156 {
157 atf_tc_set_md_var(tc, "descr", "Test sin(+0.0) == +0.0");
158 }
159
ATF_TC_BODY(sin_zero_pos,tc)160 ATF_TC_BODY(sin_zero_pos, tc)
161 {
162 const double x = 0.0L;
163
164 ATF_CHECK(sin(x) == x);
165 }
166
167 /*
168 * sinf(3)
169 */
170 ATF_TC(sinf_angles);
ATF_TC_HEAD(sinf_angles,tc)171 ATF_TC_HEAD(sinf_angles, tc)
172 {
173 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
174 }
175
ATF_TC_BODY(sinf_angles,tc)176 ATF_TC_BODY(sinf_angles, tc)
177 {
178 const float eps = FLT_EPSILON;
179 size_t i;
180
181 for (i = 0; i < __arraycount(angles); i++) {
182 int deg = angles[i].angle;
183 float theta = angles[i].x;
184 float sin_theta = angles[i].fy;
185 bool ok;
186
187 if (sin_theta == 999)
188 sin_theta = angles[i].y;
189
190 if (sin_theta == 0) {
191 /* Should be computed exactly. */
192 ok = (sinf(theta) == 0);
193 } else {
194 ok = (fabsf((sinf(theta) - sin_theta)/sin_theta)
195 <= eps);
196 }
197
198 if (!ok) {
199 atf_tc_fail_nonfatal("sinf(%d deg) = %.8g != %.8g",
200 deg, sinf(theta), sin_theta);
201 }
202 }
203 }
204
205 ATF_TC(sinf_nan);
ATF_TC_HEAD(sinf_nan,tc)206 ATF_TC_HEAD(sinf_nan, tc)
207 {
208 atf_tc_set_md_var(tc, "descr", "Test sinf(NaN) == NaN");
209 }
210
ATF_TC_BODY(sinf_nan,tc)211 ATF_TC_BODY(sinf_nan, tc)
212 {
213 const float x = 0.0L / 0.0L;
214
215 ATF_CHECK(isnan(x) != 0);
216 ATF_CHECK(isnan(sinf(x)) != 0);
217 }
218
219 ATF_TC(sinf_inf_neg);
ATF_TC_HEAD(sinf_inf_neg,tc)220 ATF_TC_HEAD(sinf_inf_neg, tc)
221 {
222 atf_tc_set_md_var(tc, "descr", "Test sinf(-Inf) == NaN");
223 }
224
ATF_TC_BODY(sinf_inf_neg,tc)225 ATF_TC_BODY(sinf_inf_neg, tc)
226 {
227 const volatile float x = -1.0f / 0.0f;
228 const float y = sinf(x);
229
230 ATF_CHECK_MSG(isnan(y), "y=%a", y);
231 }
232
233 ATF_TC(sinf_inf_pos);
ATF_TC_HEAD(sinf_inf_pos,tc)234 ATF_TC_HEAD(sinf_inf_pos, tc)
235 {
236 atf_tc_set_md_var(tc, "descr", "Test sinf(+Inf) == NaN");
237 }
238
ATF_TC_BODY(sinf_inf_pos,tc)239 ATF_TC_BODY(sinf_inf_pos, tc)
240 {
241 const volatile float x = -1.0f / 0.0f;
242 const float y = sinf(x);
243
244 ATF_CHECK_MSG(isnan(y), "y=%a", y);
245 }
246
247
248 ATF_TC(sinf_zero_neg);
ATF_TC_HEAD(sinf_zero_neg,tc)249 ATF_TC_HEAD(sinf_zero_neg, tc)
250 {
251 atf_tc_set_md_var(tc, "descr", "Test sinf(-0.0) == -0.0");
252 }
253
ATF_TC_BODY(sinf_zero_neg,tc)254 ATF_TC_BODY(sinf_zero_neg, tc)
255 {
256 const float x = -0.0L;
257
258 ATF_CHECK(sinf(x) == x);
259 }
260
261 ATF_TC(sinf_zero_pos);
ATF_TC_HEAD(sinf_zero_pos,tc)262 ATF_TC_HEAD(sinf_zero_pos, tc)
263 {
264 atf_tc_set_md_var(tc, "descr", "Test sinf(+0.0) == +0.0");
265 }
266
ATF_TC_BODY(sinf_zero_pos,tc)267 ATF_TC_BODY(sinf_zero_pos, tc)
268 {
269 const float x = 0.0L;
270
271 ATF_CHECK(sinf(x) == x);
272 }
273
ATF_TP_ADD_TCS(tp)274 ATF_TP_ADD_TCS(tp)
275 {
276
277 ATF_TP_ADD_TC(tp, sin_angles);
278 ATF_TP_ADD_TC(tp, sin_nan);
279 ATF_TP_ADD_TC(tp, sin_inf_neg);
280 ATF_TP_ADD_TC(tp, sin_inf_pos);
281 ATF_TP_ADD_TC(tp, sin_zero_neg);
282 ATF_TP_ADD_TC(tp, sin_zero_pos);
283
284 ATF_TP_ADD_TC(tp, sinf_angles);
285 ATF_TP_ADD_TC(tp, sinf_nan);
286 ATF_TP_ADD_TC(tp, sinf_inf_neg);
287 ATF_TP_ADD_TC(tp, sinf_inf_pos);
288 ATF_TP_ADD_TC(tp, sinf_zero_neg);
289 ATF_TP_ADD_TC(tp, sinf_zero_pos);
290
291 return atf_no_error();
292 }
293