ctrig_test.c revision 315118
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/cdefs.h> 32__FBSDID("$FreeBSD: stable/11/lib/msun/tests/ctrig_test.c 315118 2017-03-12 04:40:01Z ngie $"); 33 34#include <complex.h> 35#include <fenv.h> 36#include <float.h> 37#include <math.h> 38#include <stdio.h> 39 40#include <atf-c.h> 41 42#include "test-utils.h" 43 44#pragma STDC FENV_ACCESS ON 45#pragma STDC CX_LIMITED_RANGE OFF 46 47/* 48 * Test that a function returns the correct value and sets the 49 * exception flags correctly. The exceptmask specifies which 50 * exceptions we should check. We need to be lenient for several 51 * reasons, but mainly because on some architectures it's impossible 52 * to raise FE_OVERFLOW without raising FE_INEXACT. 53 * 54 * These are macros instead of functions so that assert provides more 55 * meaningful error messages. 56 * 57 * XXX The volatile here is to avoid gcc's bogus constant folding and work 58 * around the lack of support for the FENV_ACCESS pragma. 59 */ 60#define test_p(func, z, result, exceptmask, excepts, checksign) do { \ 61 volatile long double complex _d = z; \ 62 debug(" testing %s(%Lg + %Lg I) == %Lg + %Lg I\n", #func, \ 63 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 64 ATF_CHECK(feclearexcept(FE_ALL_EXCEPT) == 0); \ 65 ATF_CHECK(cfpequal_cs((func)(_d), (result), (checksign))); \ 66 ATF_CHECK(((void)(func), fetestexcept(exceptmask) == (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 volatile long double complex _d = z; \ 76 debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \ 77 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 78 ATF_CHECK(cfpequal_tol((func)(_d), (result), (tol), FPE_ABS_ZERO)); \ 79} while (0) 80 81/* These wrappers apply the identities f(conj(z)) = conj(f(z)). */ 82#define test(func, z, result, exceptmask, excepts, checksign) do { \ 83 test_p(func, z, result, exceptmask, excepts, checksign); \ 84 test_p(func, conjl(z), conjl(result), exceptmask, excepts, checksign); \ 85} while (0) 86#define test_tol(func, z, result, tol) do { \ 87 test_p_tol(func, z, result, tol); \ 88 test_p_tol(func, conjl(z), conjl(result), tol); \ 89} while (0) 90#define test_odd_tol(func, z, result, tol) do { \ 91 test_tol(func, z, result, tol); \ 92 test_tol(func, -(z), -(result), tol); \ 93} while (0) 94#define test_even_tol(func, z, result, tol) do { \ 95 test_tol(func, z, result, tol); \ 96 test_tol(func, -(z), result, tol); \ 97} while (0) 98 99/* Test the given function in all precisions. */ 100#define testall(func, x, result, exceptmask, excepts, checksign) do { \ 101 test(func, x, result, exceptmask, excepts, checksign); \ 102 test(func##f, x, result, exceptmask, excepts, checksign); \ 103} while (0) 104#define testall_odd(func, x, result, exceptmask, excepts, checksign) do { \ 105 testall(func, x, result, exceptmask, excepts, checksign); \ 106 testall(func, -x, -result, exceptmask, excepts, checksign); \ 107} while (0) 108#define testall_even(func, x, result, exceptmask, excepts, checksign) do { \ 109 testall(func, x, result, exceptmask, excepts, checksign); \ 110 testall(func, -x, result, exceptmask, excepts, checksign); \ 111} while (0) 112 113/* 114 * Test the given function in all precisions, within a given tolerance. 115 * The tolerance is specified in ulps. 116 */ 117#define testall_tol(func, x, result, tol) do { \ 118 test_tol(func, x, result, tol * DBL_ULP()); \ 119 test_tol(func##f, x, result, tol * FLT_ULP()); \ 120} while (0) 121#define testall_odd_tol(func, x, result, tol) do { \ 122 test_odd_tol(func, x, result, tol * DBL_ULP()); \ 123 test_odd_tol(func##f, x, result, tol * FLT_ULP()); \ 124} while (0) 125#define testall_even_tol(func, x, result, tol) do { \ 126 test_even_tol(func, x, result, tol * DBL_ULP()); \ 127 test_even_tol(func##f, x, result, tol * FLT_ULP()); \ 128} while (0) 129 130 131ATF_TC(test_zero_input); 132ATF_TC_HEAD(test_zero_input, tc) 133{ 134 atf_tc_set_md_var(tc, "descr", "test 0 input"); 135} 136ATF_TC_BODY(test_zero_input, tc) 137{ 138 long double complex zero = CMPLXL(0.0, 0.0); 139 140 /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */ 141 testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 142 testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 143 testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH); 144 testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH); 145 testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 146 testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 147} 148 149ATF_TC(test_nan_inputs); 150ATF_TC_HEAD(test_nan_inputs, tc) 151{ 152 atf_tc_set_md_var(tc, "descr", "test NaN inputs"); 153} 154ATF_TC_BODY(test_nan_inputs, tc) 155{ 156 long double complex nan_nan = CMPLXL(NAN, NAN); 157 long double complex z; 158 159 /* 160 * IN CSINH CCOSH CTANH 161 * NaN,NaN NaN,NaN NaN,NaN NaN,NaN 162 * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 163 * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 164 * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 165 * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0 166 * 0,NaN +-0,NaN NaN,+-0 NaN,NaN [inval] 167 * NaN,0 NaN,0 NaN,+-0 NaN,0 168 */ 169 z = nan_nan; 170 testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 171 testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 172 testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 173 testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 174 testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 175 testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 176 177 z = CMPLXL(42, NAN); 178 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 179 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 180 /* XXX We allow a spurious inexact exception here. */ 181 testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 182 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 183 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 184 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 185 186 z = CMPLXL(NAN, 42); 187 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 188 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 189 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 190 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 191 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 192 /* XXX We allow a spurious inexact exception here. */ 193 testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 194 195 z = CMPLXL(NAN, INFINITY); 196 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 197 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 198 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 199 testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0); 200 testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 201 CS_IMAG); 202 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG); 203 204 z = CMPLXL(INFINITY, NAN); 205 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0); 206 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 207 CS_REAL); 208 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 209 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 210 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 211 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 212 213 z = CMPLXL(0, NAN); 214 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, 0); 215 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 216 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 217 testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 218 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 219 testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 220 221 z = CMPLXL(NAN, 0); 222 testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 223 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 224 testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 225 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 226 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 227 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 228} 229 230ATF_TC(test_inf_inputs); 231ATF_TC_HEAD(test_inf_inputs, tc) 232{ 233 atf_tc_set_md_var(tc, "descr", "test infinity inputs"); 234} 235ATF_TC_BODY(test_inf_inputs, tc) 236{ 237 static const long double finites[] = { 238 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4, 239 }; 240 long double complex z, c, s; 241 int i; 242 243 /* 244 * IN CSINH CCOSH CTANH 245 * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0 246 * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite) 247 * 0,Inf +-0,NaN inval NaN,+-0 inval NaN,NaN inval 248 * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval 249 */ 250 z = CMPLXL(INFINITY, INFINITY); 251 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), 252 ALL_STD_EXCEPT, FE_INVALID, 0); 253 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), 254 ALL_STD_EXCEPT, FE_INVALID, 0); 255 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 256 testall_odd(csin, z, CMPLXL(NAN, INFINITY), 257 ALL_STD_EXCEPT, FE_INVALID, 0); 258 testall_even(ccos, z, CMPLXL(INFINITY, NAN), 259 ALL_STD_EXCEPT, FE_INVALID, 0); 260 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL); 261 262 /* XXX We allow spurious inexact exceptions here (hard to avoid). */ 263 for (i = 0; i < sizeof(finites) / sizeof(finites[0]); i++) { 264 z = CMPLXL(INFINITY, finites[i]); 265 c = INFINITY * cosl(finites[i]); 266 s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]); 267 testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 268 testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 269 testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)), 270 OPT_INEXACT, 0, CS_BOTH); 271 z = CMPLXL(finites[i], INFINITY); 272 testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH); 273 testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH); 274 testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1), 275 OPT_INEXACT, 0, CS_BOTH); 276 } 277 278 z = CMPLXL(0, INFINITY); 279 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 280 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 281 testall_odd(ctanh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 282 z = CMPLXL(INFINITY, 0); 283 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 284 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 285 testall_odd(ctan, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 286 287 z = CMPLXL(42, INFINITY); 288 testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 289 testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 290 /* XXX We allow a spurious inexact exception here. */ 291 testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 292 z = CMPLXL(INFINITY, 42); 293 testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 294 testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 295 /* XXX We allow a spurious inexact exception here. */ 296 testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 297} 298 299ATF_TC(test_axes); 300ATF_TC_HEAD(test_axes, tc) 301{ 302 atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes"); 303} 304ATF_TC_BODY(test_axes, tc) 305{ 306 static const long double nums[] = { 307 M_PI / 4, M_PI / 2, 3 * M_PI / 4, 308 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4, 309 }; 310 long double complex z; 311 int i; 312 313 for (i = 0; i < sizeof(nums) / sizeof(nums[0]); i++) { 314 /* Real axis */ 315 z = CMPLXL(nums[i], 0.0); 316 test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP()); 317 test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP()); 318 test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP()); 319 test_odd_tol(csin, z, CMPLXL(sin(nums[i]), 320 copysign(0, cos(nums[i]))), DBL_ULP()); 321 test_even_tol(ccos, z, CMPLXL(cos(nums[i]), 322 -copysign(0, sin(nums[i]))), DBL_ULP()); 323 test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP()); 324 325 test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP()); 326 test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP()); 327 printf("%a %a\n", creal(z), cimag(z)); 328 printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z))); 329 printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY)); 330 test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0), 331 1.3 * FLT_ULP()); 332 test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]), 333 copysign(0, cosf(nums[i]))), FLT_ULP()); 334 test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]), 335 -copysign(0, sinf(nums[i]))), 2 * FLT_ULP()); 336 test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP()); 337 338 /* Imaginary axis */ 339 z = CMPLXL(0.0, nums[i]); 340 test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])), 341 sin(nums[i])), DBL_ULP()); 342 test_even_tol(ccosh, z, CMPLXL(cos(nums[i]), 343 copysign(0, sin(nums[i]))), DBL_ULP()); 344 test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP()); 345 test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP()); 346 test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP()); 347 test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP()); 348 349 test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])), 350 sinf(nums[i])), FLT_ULP()); 351 test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]), 352 copysign(0, sinf(nums[i]))), FLT_ULP()); 353 test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP()); 354 test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP()); 355 test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0), 356 FLT_ULP()); 357 test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])), 358 1.3 * FLT_ULP()); 359 } 360} 361 362ATF_TC(test_small_inputs); 363ATF_TC_HEAD(test_small_inputs, tc) 364{ 365 atf_tc_set_md_var(tc, "descr", "test underflow inputs"); 366} 367ATF_TC_BODY(test_small_inputs, tc) 368{ 369 /* 370 * z = 0.5 + i Pi/4 371 * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2 372 * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2 373 * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1) 374 * z = -0.5 + i Pi/2 375 * sinh(z) = cosh(0.5) 376 * cosh(z) = -i sinh(0.5) 377 * tanh(z) = -coth(0.5) 378 * z = 1.0 + i 3Pi/4 379 * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2 380 * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2 381 * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1) 382 */ 383 static const struct { 384 long double a, b; 385 long double sinh_a, sinh_b; 386 long double cosh_a, cosh_b; 387 long double tanh_a, tanh_b; 388 } tests[] = { 389 { 0.5L, 390 0.78539816339744830961566084581987572L, 391 0.36847002415910435172083660522240710L, 392 0.79735196663945774996093142586179334L, 393 0.79735196663945774996093142586179334L, 394 0.36847002415910435172083660522240710L, 395 0.76159415595576488811945828260479359L, 396 0.64805427366388539957497735322615032L }, 397 { -0.5L, 398 1.57079632679489661923132169163975144L, 399 0.0L, 400 1.12762596520638078522622516140267201L, 401 0.0L, 402 -0.52109530549374736162242562641149156L, 403 -2.16395341373865284877000401021802312L, 404 0.0L }, 405 { 1.0L, 406 2.35619449019234492884698253745962716L, 407 -0.83099273328405698212637979852748608L, 408 1.09112278079550143030545602018565236L, 409 -1.09112278079550143030545602018565236L, 410 0.83099273328405698212637979852748609L, 411 0.96402758007581688394641372410092315L, 412 -0.26580222883407969212086273981988897L } 413 }; 414 long double complex z; 415 int i; 416 417 for (i = 0; i < sizeof(tests) / sizeof(tests[0]); i++) { 418 z = CMPLXL(tests[i].a, tests[i].b); 419 testall_odd_tol(csinh, z, 420 CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1); 421 testall_even_tol(ccosh, z, 422 CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1); 423 testall_odd_tol(ctanh, z, 424 CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4); 425 } 426} 427 428ATF_TC(test_large_inputs); 429ATF_TC_HEAD(test_large_inputs, tc) 430{ 431 atf_tc_set_md_var(tc, "descr", 432 "Test inputs that might cause overflow in a sloppy implementation"); 433} 434ATF_TC_BODY(test_large_inputs, tc) 435{ 436 long double complex z; 437 438#ifdef __i386__ 439 atf_tc_expect_fail("test fails on i386 - bug 205446"); 440#endif 441 442 /* tanh() uses a threshold around x=22, so check both sides. */ 443 z = CMPLXL(21, 0.78539816339744830961566084581987572L); 444 testall_odd_tol(ctanh, z, 445 CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2); 446 z++; 447 testall_odd_tol(ctanh, z, 448 CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1); 449 450 z = CMPLXL(355, 0.78539816339744830961566084581987572L); 451 test_odd_tol(ctanh, z, 452 CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L), 453 DBL_ULP()); 454 z = CMPLXL(30, 0x1p1023L); 455 test_odd_tol(ctanh, z, 456 CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L), 457 DBL_ULP()); 458 z = CMPLXL(1, 0x1p1023L); 459 test_odd_tol(ctanh, z, 460 CMPLXL(0.878606311888306869546254022621986509L, 461 -0.225462792499754505792678258169527424L), 462 DBL_ULP()); 463 464 z = CMPLXL(710.6, 0.78539816339744830961566084581987572L); 465 test_odd_tol(csinh, z, 466 CMPLXL(1.43917579766621073533185387499658944e308L, 467 1.43917579766621073533185387499658944e308L), DBL_ULP()); 468 test_even_tol(ccosh, z, 469 CMPLXL(1.43917579766621073533185387499658944e308L, 470 1.43917579766621073533185387499658944e308L), DBL_ULP()); 471 472 z = CMPLXL(1500, 0.78539816339744830961566084581987572L); 473 testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 474 FE_OVERFLOW, CS_BOTH); 475 testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 476 FE_OVERFLOW, CS_BOTH); 477} 478 479ATF_TP_ADD_TCS(tp) 480{ 481 482 ATF_TP_ADD_TC(tp, test_zero_input); 483 ATF_TP_ADD_TC(tp, test_nan_inputs); 484 ATF_TP_ADD_TC(tp, test_inf_inputs); 485 ATF_TP_ADD_TC(tp, test_axes); 486 ATF_TP_ADD_TC(tp, test_small_inputs); 487 ATF_TP_ADD_TC(tp, test_large_inputs); 488 489 return (atf_no_error()); 490} 491