1 /* $NetBSD: t_cos.c,v 1.9 2019/05/27 00:10:36 maya 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 #ifdef __HAVE_LONG_DOUBLE
64 /*
65 * cosl(3)
66 */
67 ATF_TC(cosl_angles);
ATF_TC_HEAD(cosl_angles,tc)68 ATF_TC_HEAD(cosl_angles, tc)
69 {
70 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
71 }
72
ATF_TC_BODY(cosl_angles,tc)73 ATF_TC_BODY(cosl_angles, tc)
74 {
75 /*
76 * XXX The given data is for double, so take that
77 * into account and expect less precise results..
78 */
79 const long double eps = DBL_EPSILON;
80 size_t i;
81
82 for (i = 0; i < __arraycount(angles); i++) {
83 int deg = angles[i].angle;
84 long double theta = angles[i].x;
85 long double cos_theta = angles[i].y;
86
87 assert(cos_theta != 0);
88 if (!(fabsl((cosl(theta) - cos_theta)/cos_theta) <= eps)) {
89 atf_tc_fail_nonfatal("cos(%d deg = %.17Lg) = %.17Lg"
90 " != %.17Lg",
91 deg, theta, cosl(theta), cos_theta);
92 }
93 }
94 }
95
96 ATF_TC(cosl_nan);
ATF_TC_HEAD(cosl_nan,tc)97 ATF_TC_HEAD(cosl_nan, tc)
98 {
99 atf_tc_set_md_var(tc, "descr", "Test cosl(NaN) == NaN");
100 }
101
ATF_TC_BODY(cosl_nan,tc)102 ATF_TC_BODY(cosl_nan, tc)
103 {
104 const long double x = 0.0L / 0.0L;
105
106 ATF_CHECK(isnan(x) != 0);
107 ATF_CHECK(isnan(cosl(x)) != 0);
108 }
109
110 ATF_TC(cosl_inf_neg);
ATF_TC_HEAD(cosl_inf_neg,tc)111 ATF_TC_HEAD(cosl_inf_neg, tc)
112 {
113 atf_tc_set_md_var(tc, "descr", "Test cosl(-Inf) == NaN");
114 }
115
ATF_TC_BODY(cosl_inf_neg,tc)116 ATF_TC_BODY(cosl_inf_neg, tc)
117 {
118 const long double x = -1.0L / 0.0L;
119
120 ATF_CHECK(isnan(cosl(x)) != 0);
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 long double x = 1.0L / 0.0L;
132
133 ATF_CHECK(isnan(cosl(x)) != 0);
134 }
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 #endif
163
164 /*
165 * cos(3)
166 */
167 ATF_TC(cos_angles);
ATF_TC_HEAD(cos_angles,tc)168 ATF_TC_HEAD(cos_angles, tc)
169 {
170 atf_tc_set_md_var(tc, "descr", "Test some selected angles");
171 }
172
ATF_TC_BODY(cos_angles,tc)173 ATF_TC_BODY(cos_angles, tc)
174 {
175 const double eps = DBL_EPSILON;
176 size_t i;
177
178 for (i = 0; i < __arraycount(angles); i++) {
179 int deg = angles[i].angle;
180 double theta = angles[i].x;
181 double cos_theta = angles[i].y;
182
183 assert(cos_theta != 0);
184 if (!(fabs((cos(theta) - cos_theta)/cos_theta) <= eps)) {
185 atf_tc_fail_nonfatal("cos(%d deg = %.17g) = %.17g"
186 " != %.17g",
187 deg, theta, cos(theta), cos_theta);
188 }
189 }
190 }
191
192 ATF_TC(cos_nan);
ATF_TC_HEAD(cos_nan,tc)193 ATF_TC_HEAD(cos_nan, tc)
194 {
195 atf_tc_set_md_var(tc, "descr", "Test cos(NaN) == NaN");
196 }
197
ATF_TC_BODY(cos_nan,tc)198 ATF_TC_BODY(cos_nan, tc)
199 {
200 const double x = 0.0L / 0.0L;
201
202 ATF_CHECK(isnan(x) != 0);
203 ATF_CHECK(isnan(cos(x)) != 0);
204 }
205
206 ATF_TC(cos_inf_neg);
ATF_TC_HEAD(cos_inf_neg,tc)207 ATF_TC_HEAD(cos_inf_neg, tc)
208 {
209 atf_tc_set_md_var(tc, "descr", "Test cos(-Inf) == NaN");
210 }
211
ATF_TC_BODY(cos_inf_neg,tc)212 ATF_TC_BODY(cos_inf_neg, tc)
213 {
214 const double x = -1.0L / 0.0L;
215
216 ATF_CHECK(isnan(cos(x)) != 0);
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 double x = 1.0L / 0.0L;
228
229 ATF_CHECK(isnan(cos(x)) != 0);
230 }
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 precision,
285 * but seems to be needed to work around a compiler bug.
286 */
287 volatile float result = cosf(theta);
288
289 if (cos_theta == 999)
290 cos_theta = angles[i].y;
291
292 assert(cos_theta != 0);
293 if (!(fabsf((result - cos_theta)/cos_theta) <= eps)) {
294 atf_tc_fail_nonfatal("cosf(%d deg = %.8g) = %.8g"
295 " != %.8g", deg, theta, result, cos_theta);
296 }
297 }
298 }
299
300 ATF_TC(cosf_nan);
ATF_TC_HEAD(cosf_nan,tc)301 ATF_TC_HEAD(cosf_nan, tc)
302 {
303 atf_tc_set_md_var(tc, "descr", "Test cosf(NaN) == NaN");
304 }
305
ATF_TC_BODY(cosf_nan,tc)306 ATF_TC_BODY(cosf_nan, tc)
307 {
308 const float x = 0.0L / 0.0L;
309
310 ATF_CHECK(isnan(x) != 0);
311 ATF_CHECK(isnan(cosf(x)) != 0);
312 }
313
314 ATF_TC(cosf_inf_neg);
ATF_TC_HEAD(cosf_inf_neg,tc)315 ATF_TC_HEAD(cosf_inf_neg, tc)
316 {
317 atf_tc_set_md_var(tc, "descr", "Test cosf(-Inf) == NaN");
318 }
319
ATF_TC_BODY(cosf_inf_neg,tc)320 ATF_TC_BODY(cosf_inf_neg, tc)
321 {
322 const float x = -1.0L / 0.0L;
323
324 if (isnan(cosf(x)) == 0) {
325 atf_tc_expect_fail("PR lib/45362");
326 atf_tc_fail("cosf(-Inf) != NaN");
327 }
328 }
329
330 ATF_TC(cosf_inf_pos);
ATF_TC_HEAD(cosf_inf_pos,tc)331 ATF_TC_HEAD(cosf_inf_pos, tc)
332 {
333 atf_tc_set_md_var(tc, "descr", "Test cosf(+Inf) == NaN");
334 }
335
ATF_TC_BODY(cosf_inf_pos,tc)336 ATF_TC_BODY(cosf_inf_pos, tc)
337 {
338 const float x = 1.0L / 0.0L;
339
340 if (isnan(cosf(x)) == 0) {
341 atf_tc_expect_fail("PR lib/45362");
342 atf_tc_fail("cosf(+Inf) != NaN");
343 }
344 }
345
346
347 ATF_TC(cosf_zero_neg);
ATF_TC_HEAD(cosf_zero_neg,tc)348 ATF_TC_HEAD(cosf_zero_neg, tc)
349 {
350 atf_tc_set_md_var(tc, "descr", "Test cosf(-0.0) == 1.0");
351 }
352
ATF_TC_BODY(cosf_zero_neg,tc)353 ATF_TC_BODY(cosf_zero_neg, tc)
354 {
355 const float x = -0.0L;
356
357 ATF_CHECK(cosf(x) == 1.0);
358 }
359
360 ATF_TC(cosf_zero_pos);
ATF_TC_HEAD(cosf_zero_pos,tc)361 ATF_TC_HEAD(cosf_zero_pos, tc)
362 {
363 atf_tc_set_md_var(tc, "descr", "Test cosf(+0.0) == 1.0");
364 }
365
ATF_TC_BODY(cosf_zero_pos,tc)366 ATF_TC_BODY(cosf_zero_pos, tc)
367 {
368 const float x = 0.0L;
369
370 ATF_CHECK(cosf(x) == 1.0);
371 }
372
ATF_TP_ADD_TCS(tp)373 ATF_TP_ADD_TCS(tp)
374 {
375 #ifdef __HAVE_LONG_DOUBLE
376 ATF_TP_ADD_TC(tp, cosl_angles);
377 ATF_TP_ADD_TC(tp, cosl_nan);
378 ATF_TP_ADD_TC(tp, cosl_inf_neg);
379 ATF_TP_ADD_TC(tp, cosl_inf_pos);
380 ATF_TP_ADD_TC(tp, cosl_zero_neg);
381 ATF_TP_ADD_TC(tp, cosl_zero_pos);
382 #endif
383
384 ATF_TP_ADD_TC(tp, cos_angles);
385 ATF_TP_ADD_TC(tp, cos_nan);
386 ATF_TP_ADD_TC(tp, cos_inf_neg);
387 ATF_TP_ADD_TC(tp, cos_inf_pos);
388 ATF_TP_ADD_TC(tp, cos_zero_neg);
389 ATF_TP_ADD_TC(tp, cos_zero_pos);
390
391 ATF_TP_ADD_TC(tp, cosf_angles);
392 ATF_TP_ADD_TC(tp, cosf_nan);
393 ATF_TP_ADD_TC(tp, cosf_inf_neg);
394 ATF_TP_ADD_TC(tp, cosf_inf_pos);
395 ATF_TP_ADD_TC(tp, cosf_zero_neg);
396 ATF_TP_ADD_TC(tp, cosf_zero_pos);
397
398 return atf_no_error();
399 }
400