1 /* $NetBSD: t_cos.c,v 1.12 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, -1.0000000000000000, 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 /*
64 * cosl(3)
65 */
66 ATF_TC(cosl_angles);
ATF_TC_HEAD(cosl_angles,tc)67 ATF_TC_HEAD(cosl_angles, tc)
68 {
69 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
70 }
71
ATF_TC_BODY(cosl_angles,tc)72 ATF_TC_BODY(cosl_angles, tc)
73 {
74 /*
75 * XXX The given data is for double, so take that
76 * into account and expect less precise results..
77 */
78 const long double eps = DBL_EPSILON;
79 size_t i;
80
81 for (i = 0; i < __arraycount(angles); i++) {
82 int deg = angles[i].angle;
83 long double theta = angles[i].x;
84 long double cos_theta = angles[i].y;
85
86 assert(cos_theta != 0);
87 if (!(fabsl((cosl(theta) - cos_theta)/cos_theta) <= eps)) {
88 atf_tc_fail_nonfatal("cos(%d deg = %.17Lg) = %.17Lg"
89 " != %.17Lg",
90 deg, theta, cosl(theta), cos_theta);
91 }
92 }
93 }
94
95 ATF_TC(cosl_nan);
ATF_TC_HEAD(cosl_nan,tc)96 ATF_TC_HEAD(cosl_nan, tc)
97 {
98 atf_tc_set_md_var(tc, "descr", "Test cosl(NaN) == NaN");
99 }
100
ATF_TC_BODY(cosl_nan,tc)101 ATF_TC_BODY(cosl_nan, tc)
102 {
103 const long double x = 0.0L / 0.0L;
104
105 ATF_CHECK(isnan(x) != 0);
106 ATF_CHECK(isnan(cosl(x)) != 0);
107 }
108
109 ATF_TC(cosl_inf_neg);
ATF_TC_HEAD(cosl_inf_neg,tc)110 ATF_TC_HEAD(cosl_inf_neg, tc)
111 {
112 atf_tc_set_md_var(tc, "descr", "Test cosl(-Inf) == NaN");
113 }
114
ATF_TC_BODY(cosl_inf_neg,tc)115 ATF_TC_BODY(cosl_inf_neg, tc)
116 {
117 const volatile long double x = -1.0L / 0.0L;
118 const long double y = cosl(x);
119
120 ATF_CHECK_MSG(isnan(y), "y=%La", y);
121 }
122
123 ATF_TC(cosl_inf_pos);
ATF_TC_HEAD(cosl_inf_pos,tc)124 ATF_TC_HEAD(cosl_inf_pos, tc)
125 {
126 atf_tc_set_md_var(tc, "descr", "Test cosl(+Inf) == NaN");
127 }
128
ATF_TC_BODY(cosl_inf_pos,tc)129 ATF_TC_BODY(cosl_inf_pos, tc)
130 {
131 const volatile long double x = 1.0L / 0.0L;
132 const long double y = cosl(x);
133
134 ATF_CHECK_MSG(isnan(y), "y=%La", y);
135 }
136
137 ATF_TC(cosl_zero_neg);
ATF_TC_HEAD(cosl_zero_neg,tc)138 ATF_TC_HEAD(cosl_zero_neg, tc)
139 {
140 atf_tc_set_md_var(tc, "descr", "Test cosl(-0.0) == 1.0");
141 }
142
ATF_TC_BODY(cosl_zero_neg,tc)143 ATF_TC_BODY(cosl_zero_neg, tc)
144 {
145 const long double x = -0.0L;
146
147 ATF_CHECK(cosl(x) == 1.0);
148 }
149
150 ATF_TC(cosl_zero_pos);
ATF_TC_HEAD(cosl_zero_pos,tc)151 ATF_TC_HEAD(cosl_zero_pos, tc)
152 {
153 atf_tc_set_md_var(tc, "descr", "Test cosl(+0.0) == 1.0");
154 }
155
ATF_TC_BODY(cosl_zero_pos,tc)156 ATF_TC_BODY(cosl_zero_pos, tc)
157 {
158 const long double x = 0.0L;
159
160 ATF_CHECK(cosl(x) == 1.0);
161 }
162
163 /*
164 * cos(3)
165 */
166 ATF_TC(cos_angles);
ATF_TC_HEAD(cos_angles,tc)167 ATF_TC_HEAD(cos_angles, tc)
168 {
169 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
170 }
171
ATF_TC_BODY(cos_angles,tc)172 ATF_TC_BODY(cos_angles, tc)
173 {
174 const double eps = DBL_EPSILON;
175 size_t i;
176
177 for (i = 0; i < __arraycount(angles); i++) {
178 int deg = angles[i].angle;
179 double theta = angles[i].x;
180 double cos_theta = angles[i].y;
181
182 assert(cos_theta != 0);
183 if (!(fabs((cos(theta) - cos_theta)/cos_theta) <= eps)) {
184 atf_tc_fail_nonfatal("cos(%d deg = %.17g) = %.17g"
185 " != %.17g",
186 deg, theta, cos(theta), cos_theta);
187 }
188 }
189 }
190
191 ATF_TC(cos_nan);
ATF_TC_HEAD(cos_nan,tc)192 ATF_TC_HEAD(cos_nan, tc)
193 {
194 atf_tc_set_md_var(tc, "descr", "Test cos(NaN) == NaN");
195 }
196
ATF_TC_BODY(cos_nan,tc)197 ATF_TC_BODY(cos_nan, tc)
198 {
199 const double x = 0.0L / 0.0L;
200
201 ATF_CHECK(isnan(x) != 0);
202 ATF_CHECK(isnan(cos(x)) != 0);
203 }
204
205 ATF_TC(cos_inf_neg);
ATF_TC_HEAD(cos_inf_neg,tc)206 ATF_TC_HEAD(cos_inf_neg, tc)
207 {
208 atf_tc_set_md_var(tc, "descr", "Test cos(-Inf) == NaN");
209 }
210
ATF_TC_BODY(cos_inf_neg,tc)211 ATF_TC_BODY(cos_inf_neg, tc)
212 {
213 const volatile double x = -1.0 / 0.0;
214 const double y = cos(x);
215
216 ATF_CHECK_MSG(isnan(y), "y=%a", y);
217 }
218
219 ATF_TC(cos_inf_pos);
ATF_TC_HEAD(cos_inf_pos,tc)220 ATF_TC_HEAD(cos_inf_pos, tc)
221 {
222 atf_tc_set_md_var(tc, "descr", "Test cos(+Inf) == NaN");
223 }
224
ATF_TC_BODY(cos_inf_pos,tc)225 ATF_TC_BODY(cos_inf_pos, tc)
226 {
227 const volatile double x = 1.0 / 0.0;
228 const double y = cos(x);
229
230 ATF_CHECK_MSG(isnan(y), "y=%a", y);
231 }
232
233 ATF_TC(cos_zero_neg);
ATF_TC_HEAD(cos_zero_neg,tc)234 ATF_TC_HEAD(cos_zero_neg, tc)
235 {
236 atf_tc_set_md_var(tc, "descr", "Test cos(-0.0) == 1.0");
237 }
238
ATF_TC_BODY(cos_zero_neg,tc)239 ATF_TC_BODY(cos_zero_neg, tc)
240 {
241 const double x = -0.0L;
242
243 ATF_CHECK(cos(x) == 1.0);
244 }
245
246 ATF_TC(cos_zero_pos);
ATF_TC_HEAD(cos_zero_pos,tc)247 ATF_TC_HEAD(cos_zero_pos, tc)
248 {
249 atf_tc_set_md_var(tc, "descr", "Test cos(+0.0) == 1.0");
250 }
251
ATF_TC_BODY(cos_zero_pos,tc)252 ATF_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 */
262 ATF_TC(cosf_angles);
ATF_TC_HEAD(cosf_angles,tc)263 ATF_TC_HEAD(cosf_angles, tc)
264 {
265 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
266 }
267
ATF_TC_BODY(cosf_angles,tc)268 ATF_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
285 * precision, but is needed when we compile with
286 * -std=gnu99 which doesn't implement this semantics.
287 */
288 volatile float result = cosf(theta);
289
290 if (cos_theta == 999)
291 cos_theta = angles[i].y;
292
293 assert(cos_theta != 0);
294 if (!(fabsf((result - cos_theta)/cos_theta) <= eps)) {
295 atf_tc_fail_nonfatal("cosf(%d deg = %.8g) = %.8g"
296 " != %.8g", deg, theta, result, cos_theta);
297 }
298 }
299 }
300
301 ATF_TC(cosf_nan);
ATF_TC_HEAD(cosf_nan,tc)302 ATF_TC_HEAD(cosf_nan, tc)
303 {
304 atf_tc_set_md_var(tc, "descr", "Test cosf(NaN) == NaN");
305 }
306
ATF_TC_BODY(cosf_nan,tc)307 ATF_TC_BODY(cosf_nan, tc)
308 {
309 const float x = 0.0L / 0.0L;
310
311 ATF_CHECK(isnan(x) != 0);
312 ATF_CHECK(isnan(cosf(x)) != 0);
313 }
314
315 ATF_TC(cosf_inf_neg);
ATF_TC_HEAD(cosf_inf_neg,tc)316 ATF_TC_HEAD(cosf_inf_neg, tc)
317 {
318 atf_tc_set_md_var(tc, "descr", "Test cosf(-Inf) == NaN");
319 }
320
ATF_TC_BODY(cosf_inf_neg,tc)321 ATF_TC_BODY(cosf_inf_neg, tc)
322 {
323 const volatile float x = -1.0f / 0.0f;
324 const float y = cosf(x);
325
326 ATF_CHECK_MSG(isnan(y), "y=%a", y);
327 }
328
329 ATF_TC(cosf_inf_pos);
ATF_TC_HEAD(cosf_inf_pos,tc)330 ATF_TC_HEAD(cosf_inf_pos, tc)
331 {
332 atf_tc_set_md_var(tc, "descr", "Test cosf(+Inf) == NaN");
333 }
334
ATF_TC_BODY(cosf_inf_pos,tc)335 ATF_TC_BODY(cosf_inf_pos, tc)
336 {
337 const volatile float x = 1.0f / 0.0f;
338 const float y = cosf(x);
339
340 ATF_CHECK_MSG(isnan(y), "y=%a", y);
341 }
342
343
344 ATF_TC(cosf_zero_neg);
ATF_TC_HEAD(cosf_zero_neg,tc)345 ATF_TC_HEAD(cosf_zero_neg, tc)
346 {
347 atf_tc_set_md_var(tc, "descr", "Test cosf(-0.0) == 1.0");
348 }
349
ATF_TC_BODY(cosf_zero_neg,tc)350 ATF_TC_BODY(cosf_zero_neg, tc)
351 {
352 const float x = -0.0L;
353
354 ATF_CHECK(cosf(x) == 1.0);
355 }
356
357 ATF_TC(cosf_zero_pos);
ATF_TC_HEAD(cosf_zero_pos,tc)358 ATF_TC_HEAD(cosf_zero_pos, tc)
359 {
360 atf_tc_set_md_var(tc, "descr", "Test cosf(+0.0) == 1.0");
361 }
362
ATF_TC_BODY(cosf_zero_pos,tc)363 ATF_TC_BODY(cosf_zero_pos, tc)
364 {
365 const float x = 0.0L;
366
367 ATF_CHECK(cosf(x) == 1.0);
368 }
369
ATF_TP_ADD_TCS(tp)370 ATF_TP_ADD_TCS(tp)
371 {
372
373 ATF_TP_ADD_TC(tp, cosl_angles);
374 ATF_TP_ADD_TC(tp, cosl_nan);
375 ATF_TP_ADD_TC(tp, cosl_inf_neg);
376 ATF_TP_ADD_TC(tp, cosl_inf_pos);
377 ATF_TP_ADD_TC(tp, cosl_zero_neg);
378 ATF_TP_ADD_TC(tp, cosl_zero_pos);
379
380 ATF_TP_ADD_TC(tp, cos_angles);
381 ATF_TP_ADD_TC(tp, cos_nan);
382 ATF_TP_ADD_TC(tp, cos_inf_neg);
383 ATF_TP_ADD_TC(tp, cos_inf_pos);
384 ATF_TP_ADD_TC(tp, cos_zero_neg);
385 ATF_TP_ADD_TC(tp, cos_zero_pos);
386
387 ATF_TP_ADD_TC(tp, cosf_angles);
388 ATF_TP_ADD_TC(tp, cosf_nan);
389 ATF_TP_ADD_TC(tp, cosf_inf_neg);
390 ATF_TP_ADD_TC(tp, cosf_inf_pos);
391 ATF_TP_ADD_TC(tp, cosf_zero_neg);
392 ATF_TP_ADD_TC(tp, cosf_zero_pos);
393
394 return atf_no_error();
395 }
396