1 /*-
2 * Copyright (c) 2008-2011 David Schultz <das@FreeBSD.org>
3 * All rights reserved.
4 *
5 * Redistribution and use in source and binary forms, with or without
6 * modification, are permitted provided that the following conditions
7 * are met:
8 * 1. Redistributions of source code must retain the above copyright
9 * notice, this list of conditions and the following disclaimer.
10 * 2. Redistributions in binary form must reproduce the above copyright
11 * notice, this list of conditions and the following disclaimer in the
12 * documentation and/or other materials provided with the distribution.
13 *
14 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND
15 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
16 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
17 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE
18 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
19 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
20 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
21 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
22 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
23 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
24 * SUCH DAMAGE.
25 */
26
27 /*
28 * Tests for csin[h](), ccos[h](), and ctan[h]().
29 */
30
31 #include <sys/param.h>
32 #include <complex.h>
33 #include <fenv.h>
34 #include <float.h>
35 #include <math.h>
36 #include <stdio.h>
37
38 #include "test-utils.h"
39
40 #pragma STDC FENV_ACCESS ON
41 #pragma STDC CX_LIMITED_RANGE OFF
42
43 /*
44 * Test that a function returns the correct value and sets the
45 * exception flags correctly. The exceptmask specifies which
46 * exceptions we should check. We need to be lenient for several
47 * reasons, but mainly because on some architectures it's impossible
48 * to raise FE_OVERFLOW without raising FE_INEXACT.
49 *
50 * These are macros instead of functions so that assert provides more
51 * meaningful error messages.
52 *
53 * XXX The volatile here is to avoid gcc's bogus constant folding and work
54 * around the lack of support for the FENV_ACCESS pragma.
55 */
56 #define test_p(func, z, result, exceptmask, excepts, checksign) \
57 do { \
58 volatile long double complex _d = z; \
59 debug(" testing %s(%Lg + %Lg I) == %Lg + %Lg I\n", #func, \
60 creall(_d), cimagl(_d), creall(result), cimagl(result)); \
61 ATF_CHECK(feclearexcept(FE_ALL_EXCEPT) == 0); \
62 CHECK_CFPEQUAL_CS((func)(_d), (result), (checksign)); \
63 volatile int _e = fetestexcept(exceptmask); \
64 ATF_CHECK_MSG(_e == (excepts), \
65 "%s fetestexcept(%s) (%#x) != %#x", __XSTRING(func), \
66 __XSTRING(exceptmask), _e, (excepts)); \
67 } while (0)
68
69 /*
70 * Test within a given tolerance. The tolerance indicates relative error
71 * in ulps. If result is 0, however, it measures absolute error in units
72 * of <format>_EPSILON.
73 */
74 #define test_p_tol(func, z, result, tol) do { \
75 debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \
76 creall(z), cimagl(z), creall(result), cimagl(result)); \
77 CHECK_CFPEQUAL_TOL((func)(z), (result), (tol), FPE_ABS_ZERO); \
78 } while (0)
79
80 /* These wrappers apply the identities f(conj(z)) = conj(f(z)). */
81 #define test(func, z, result, exceptmask, excepts, checksign) do { \
82 test_p(func, z, result, exceptmask, excepts, checksign); \
83 test_p(func, conjl(z), conjl(result), exceptmask, excepts, checksign); \
84 } while (0)
85 #define test_tol(func, z, result, tol) do { \
86 test_p_tol(func, z, result, tol); \
87 test_p_tol(func, conjl(z), conjl(result), tol); \
88 } while (0)
89 #define test_odd_tol(func, z, result, tol) do { \
90 test_tol(func, z, result, tol); \
91 test_tol(func, -(z), -(result), tol); \
92 } while (0)
93 #define test_even_tol(func, z, result, tol) do { \
94 test_tol(func, z, result, tol); \
95 test_tol(func, -(z), result, tol); \
96 } while (0)
97
98 /* Test the given function in all precisions. */
99 #define testall(func, x, result, exceptmask, excepts, checksign) do { \
100 test(func, x, result, exceptmask, excepts, checksign); \
101 test(func##f, x, result, exceptmask, excepts, checksign); \
102 } while (0)
103 #define testall_odd(func, x, result, exceptmask, excepts, checksign) do { \
104 testall(func, x, result, exceptmask, excepts, checksign); \
105 testall(func, -x, -result, exceptmask, excepts, checksign); \
106 } while (0)
107 #define testall_even(func, x, result, exceptmask, excepts, checksign) do { \
108 testall(func, x, result, exceptmask, excepts, checksign); \
109 testall(func, -x, result, exceptmask, excepts, checksign); \
110 } while (0)
111
112 /*
113 * Test the given function in all precisions, within a given tolerance.
114 * The tolerance is specified in ulps.
115 */
116 #define testall_tol(func, x, result, tol) do { \
117 test_tol(func, x, result, tol * DBL_ULP()); \
118 test_tol(func##f, x, result, tol * FLT_ULP()); \
119 } while (0)
120 #define testall_odd_tol(func, x, result, tol) do { \
121 test_odd_tol(func, x, result, tol * DBL_ULP()); \
122 test_odd_tol(func##f, x, result, tol * FLT_ULP()); \
123 } while (0)
124 #define testall_even_tol(func, x, result, tol) do { \
125 test_even_tol(func, x, result, tol * DBL_ULP()); \
126 test_even_tol(func##f, x, result, tol * FLT_ULP()); \
127 } while (0)
128
129
130 ATF_TC(test_zero_input);
ATF_TC_HEAD(test_zero_input,tc)131 ATF_TC_HEAD(test_zero_input, tc)
132 {
133 atf_tc_set_md_var(tc, "descr", "test 0 input");
134 }
ATF_TC_BODY(test_zero_input,tc)135 ATF_TC_BODY(test_zero_input, tc)
136 {
137 long double complex zero = CMPLXL(0.0, 0.0);
138
139 /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */
140 testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
141 testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
142 testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH);
143 testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH);
144 testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
145 testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH);
146 }
147
148 ATF_TC(test_nan_inputs);
ATF_TC_HEAD(test_nan_inputs,tc)149 ATF_TC_HEAD(test_nan_inputs, tc)
150 {
151 atf_tc_set_md_var(tc, "descr", "test NaN inputs");
152 }
ATF_TC_BODY(test_nan_inputs,tc)153 ATF_TC_BODY(test_nan_inputs, tc)
154 {
155 long double complex nan_nan = CMPLXL(NAN, NAN);
156 long double complex z;
157
158 /*
159 * IN CSINH CCOSH CTANH
160 * NaN,NaN NaN,NaN NaN,NaN NaN,NaN
161 * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval]
162 * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval]
163 * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval]
164 * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0
165 * 0,NaN +-0,NaN NaN,+-0 +-0,NaN
166 * NaN,0 NaN,0 NaN,+-0 NaN,+-0
167 */
168 z = nan_nan;
169 testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
170 testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
171 testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
172 testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
173 testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
174 testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0);
175
176 z = CMPLXL(42, NAN);
177 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0);
178 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0);
179 /* XXX We allow a spurious inexact exception here. */
180 testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0);
181 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0);
182 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0);
183 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0);
184
185 z = CMPLXL(NAN, 42);
186 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0);
187 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0);
188 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0);
189 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0);
190 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0);
191 /* XXX We allow a spurious inexact exception here. */
192 testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0);
193
194 z = CMPLXL(NAN, INFINITY);
195 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0);
196 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0);
197 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0);
198 testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0);
199 testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0,
200 CS_IMAG);
201 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG);
202
203 z = CMPLXL(INFINITY, NAN);
204 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0);
205 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0,
206 CS_REAL);
207 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL);
208 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0);
209 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0);
210 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0);
211
212 z = CMPLXL(0, NAN);
213 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
214 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0);
215 testall_odd(ctanh, z, CMPLXL(0, NAN), OPT_INVALID, 0, CS_REAL);
216 testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
217 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0);
218 testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL);
219
220 z = CMPLXL(NAN, 0);
221 testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG);
222 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0);
223 testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG);
224 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0);
225 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0);
226 testall_odd(ctan, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG);
227 }
228
229 ATF_TC(test_inf_inputs);
ATF_TC_HEAD(test_inf_inputs,tc)230 ATF_TC_HEAD(test_inf_inputs, tc)
231 {
232 atf_tc_set_md_var(tc, "descr", "test infinity inputs");
233 }
ATF_TC_BODY(test_inf_inputs,tc)234 ATF_TC_BODY(test_inf_inputs, tc)
235 {
236 static const long double finites[] = {
237 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4,
238 };
239 long double complex z, c, s;
240 unsigned i;
241
242 /*
243 * IN CSINH CCOSH CTANH
244 * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0
245 * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite)
246 * 0,Inf +-0,NaN inval NaN,+-0 inval +-0,NaN
247 * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval
248 */
249 z = CMPLXL(INFINITY, INFINITY);
250 testall_odd(csinh, z, CMPLXL(INFINITY, NAN),
251 ALL_STD_EXCEPT, FE_INVALID, 0);
252 testall_even(ccosh, z, CMPLXL(INFINITY, NAN),
253 ALL_STD_EXCEPT, FE_INVALID, 0);
254 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL);
255 testall_odd(csin, z, CMPLXL(NAN, INFINITY),
256 ALL_STD_EXCEPT, FE_INVALID, 0);
257 testall_even(ccos, z, CMPLXL(INFINITY, NAN),
258 ALL_STD_EXCEPT, FE_INVALID, 0);
259 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL);
260
261 /* XXX We allow spurious inexact exceptions here (hard to avoid). */
262 for (i = 0; i < nitems(finites); i++) {
263 z = CMPLXL(INFINITY, finites[i]);
264 c = INFINITY * cosl(finites[i]);
265 s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]);
266 testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH);
267 testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH);
268 testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)),
269 OPT_INEXACT, 0, CS_BOTH);
270 z = CMPLXL(finites[i], INFINITY);
271 testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH);
272 testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH);
273 testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1),
274 OPT_INEXACT, 0, CS_BOTH);
275 }
276
277 z = CMPLXL(0, INFINITY);
278 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
279 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0);
280 testall_odd(ctanh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, CS_REAL);
281 z = CMPLXL(INFINITY, 0);
282 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0);
283 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0);
284 testall_odd(ctan, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, CS_IMAG);
285
286 z = CMPLXL(42, INFINITY);
287 testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
288 testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
289 /* XXX We allow a spurious inexact exception here. */
290 testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0);
291 z = CMPLXL(INFINITY, 42);
292 testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
293 testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0);
294 /* XXX We allow a spurious inexact exception here. */
295 testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0);
296 }
297
298 ATF_TC(test_axes);
ATF_TC_HEAD(test_axes,tc)299 ATF_TC_HEAD(test_axes, tc)
300 {
301 atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes");
302 }
ATF_TC_BODY(test_axes,tc)303 ATF_TC_BODY(test_axes, tc)
304 {
305 static const long double nums[] = {
306 M_PI / 4, M_PI / 2, 3 * M_PI / 4,
307 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4,
308 };
309 long double complex z;
310 unsigned i;
311
312 for (i = 0; i < nitems(nums); i++) {
313 /* Real axis */
314 z = CMPLXL(nums[i], 0.0);
315 test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP());
316 test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP());
317 test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP());
318 test_odd_tol(csin, z, CMPLXL(sin(nums[i]),
319 copysign(0, cos(nums[i]))), DBL_ULP());
320 test_even_tol(ccos, z, CMPLXL(cos(nums[i]),
321 -copysign(0, sin(nums[i]))), DBL_ULP());
322 test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP());
323
324 test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP());
325 test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP());
326 printf("%a %a\n", creal(z), cimag(z));
327 printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z)));
328 printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY));
329 test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0),
330 1.3 * FLT_ULP());
331 test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]),
332 copysign(0, cosf(nums[i]))), FLT_ULP());
333 test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]),
334 -copysign(0, sinf(nums[i]))), 2 * FLT_ULP());
335 test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP());
336
337 /* Imaginary axis */
338 z = CMPLXL(0.0, nums[i]);
339 test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])),
340 sin(nums[i])), DBL_ULP());
341 test_even_tol(ccosh, z, CMPLXL(cos(nums[i]),
342 copysign(0, sin(nums[i]))), DBL_ULP());
343 test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP());
344 test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP());
345 test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP());
346 test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP());
347
348 test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])),
349 sinf(nums[i])), FLT_ULP());
350 test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]),
351 copysign(0, sinf(nums[i]))), FLT_ULP());
352 test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP());
353 test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP());
354 test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0),
355 FLT_ULP());
356 test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])),
357 1.3 * FLT_ULP());
358 }
359 }
360
361 ATF_TC(test_small_inputs);
ATF_TC_HEAD(test_small_inputs,tc)362 ATF_TC_HEAD(test_small_inputs, tc)
363 {
364 atf_tc_set_md_var(tc, "descr", "test underflow inputs");
365 }
ATF_TC_BODY(test_small_inputs,tc)366 ATF_TC_BODY(test_small_inputs, tc)
367 {
368 /*
369 * z = 0.5 + i Pi/4
370 * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2
371 * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2
372 * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1)
373 * z = -0.5 + i Pi/2
374 * sinh(z) = cosh(0.5)
375 * cosh(z) = -i sinh(0.5)
376 * tanh(z) = -coth(0.5)
377 * z = 1.0 + i 3Pi/4
378 * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2
379 * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2
380 * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1)
381 */
382 static const struct {
383 long double a, b;
384 long double sinh_a, sinh_b;
385 long double cosh_a, cosh_b;
386 long double tanh_a, tanh_b;
387 } tests[] = {
388 { 0.5L,
389 0.78539816339744830961566084581987572L,
390 0.36847002415910435172083660522240710L,
391 0.79735196663945774996093142586179334L,
392 0.79735196663945774996093142586179334L,
393 0.36847002415910435172083660522240710L,
394 0.76159415595576488811945828260479359L,
395 0.64805427366388539957497735322615032L },
396 { -0.5L,
397 1.57079632679489661923132169163975144L,
398 0.0L,
399 1.12762596520638078522622516140267201L,
400 0.0L,
401 -0.52109530549374736162242562641149156L,
402 -2.16395341373865284877000401021802312L,
403 0.0L },
404 { 1.0L,
405 2.35619449019234492884698253745962716L,
406 -0.83099273328405698212637979852748608L,
407 1.09112278079550143030545602018565236L,
408 -1.09112278079550143030545602018565236L,
409 0.83099273328405698212637979852748609L,
410 0.96402758007581688394641372410092315L,
411 -0.26580222883407969212086273981988897L }
412 };
413 long double complex z;
414 unsigned i;
415
416 for (i = 0; i < nitems(tests); i++) {
417 z = CMPLXL(tests[i].a, tests[i].b);
418 testall_odd_tol(csinh, z,
419 CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1);
420 testall_even_tol(ccosh, z,
421 CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1);
422 testall_odd_tol(ctanh, z,
423 CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4);
424 }
425 }
426
427 ATF_TC(test_large_inputs);
ATF_TC_HEAD(test_large_inputs,tc)428 ATF_TC_HEAD(test_large_inputs, tc)
429 {
430 atf_tc_set_md_var(tc, "descr",
431 "Test inputs that might cause overflow in a sloppy implementation");
432 }
ATF_TC_BODY(test_large_inputs,tc)433 ATF_TC_BODY(test_large_inputs, tc)
434 {
435 long double complex z;
436
437 /* tanh() uses a threshold around x=22, so check both sides. */
438 z = CMPLXL(21, 0.78539816339744830961566084581987572L);
439 testall_odd_tol(ctanh, z,
440 CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2);
441 z++;
442 testall_odd_tol(ctanh, z,
443 CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1);
444
445 z = CMPLXL(355, 0.78539816339744830961566084581987572L);
446 test_odd_tol(ctanh, z,
447 CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L),
448 DBL_ULP());
449 z = CMPLXL(30, 0x1p1023L);
450 test_odd_tol(ctanh, z,
451 CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L),
452 DBL_ULP());
453 z = CMPLXL(1, 0x1p1023L);
454 test_odd_tol(ctanh, z,
455 CMPLXL(0.878606311888306869546254022621986509L,
456 -0.225462792499754505792678258169527424L),
457 DBL_ULP());
458
459 z = CMPLXL(710.6, 0.78539816339744830961566084581987572L);
460 test_odd_tol(csinh, z,
461 CMPLXL(1.43917579766621073533185387499658944e308L,
462 1.43917579766621073533185387499658944e308L), DBL_ULP());
463 test_even_tol(ccosh, z,
464 CMPLXL(1.43917579766621073533185387499658944e308L,
465 1.43917579766621073533185387499658944e308L), DBL_ULP());
466
467 z = CMPLXL(1500, 0.78539816339744830961566084581987572L);
468 testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT,
469 FE_OVERFLOW, CS_BOTH);
470 testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT,
471 FE_OVERFLOW, CS_BOTH);
472 }
473
ATF_TP_ADD_TCS(tp)474 ATF_TP_ADD_TCS(tp)
475 {
476
477 ATF_TP_ADD_TC(tp, test_zero_input);
478 ATF_TP_ADD_TC(tp, test_nan_inputs);
479 ATF_TP_ADD_TC(tp, test_inf_inputs);
480 ATF_TP_ADD_TC(tp, test_axes);
481 ATF_TP_ADD_TC(tp, test_small_inputs);
482 ATF_TP_ADD_TC(tp, test_large_inputs);
483
484 return (atf_no_error());
485 }
486