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); 131 ATF_TC_HEAD(test_zero_input, tc) 132 { 133 atf_tc_set_md_var(tc, "descr", "test 0 input"); 134 } 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); 149 ATF_TC_HEAD(test_nan_inputs, tc) 150 { 151 atf_tc_set_md_var(tc, "descr", "test NaN inputs"); 152 } 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); 230 ATF_TC_HEAD(test_inf_inputs, tc) 231 { 232 atf_tc_set_md_var(tc, "descr", "test infinity inputs"); 233 } 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); 299 ATF_TC_HEAD(test_axes, tc) 300 { 301 atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes"); 302 } 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); 362 ATF_TC_HEAD(test_small_inputs, tc) 363 { 364 atf_tc_set_md_var(tc, "descr", "test underflow inputs"); 365 } 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); 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 } 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 } 473 474 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