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("$FreeBSD$"); 33 34 #include <sys/param.h> 35 #include <complex.h> 36 #include <fenv.h> 37 #include <float.h> 38 #include <math.h> 39 #include <stdio.h> 40 41 #include <atf-c.h> 42 43 #include "test-utils.h" 44 45 #pragma STDC FENV_ACCESS ON 46 #pragma STDC CX_LIMITED_RANGE OFF 47 48 /* 49 * Test that a function returns the correct value and sets the 50 * exception flags correctly. The exceptmask specifies which 51 * exceptions we should check. We need to be lenient for several 52 * reasons, but mainly because on some architectures it's impossible 53 * to raise FE_OVERFLOW without raising FE_INEXACT. 54 * 55 * These are macros instead of functions so that assert provides more 56 * meaningful error messages. 57 * 58 * XXX The volatile here is to avoid gcc's bogus constant folding and work 59 * around the lack of support for the FENV_ACCESS pragma. 60 */ 61 #define test_p(func, z, result, exceptmask, excepts, checksign) do { \ 62 volatile long double complex _d = z; \ 63 debug(" testing %s(%Lg + %Lg I) == %Lg + %Lg I\n", #func, \ 64 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 65 ATF_CHECK(feclearexcept(FE_ALL_EXCEPT) == 0); \ 66 ATF_CHECK(cfpequal_cs((func)(_d), (result), (checksign))); \ 67 ATF_CHECK(((void)(func), fetestexcept(exceptmask) == (excepts))); \ 68 } while (0) 69 70 /* 71 * Test within a given tolerance. The tolerance indicates relative error 72 * in ulps. If result is 0, however, it measures absolute error in units 73 * of <format>_EPSILON. 74 */ 75 #define test_p_tol(func, z, result, tol) do { \ 76 volatile long double complex _d = z; \ 77 debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \ 78 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 79 ATF_CHECK(cfpequal_tol((func)(_d), (result), (tol), FPE_ABS_ZERO)); \ 80 } while (0) 81 82 /* These wrappers apply the identities f(conj(z)) = conj(f(z)). */ 83 #define test(func, z, result, exceptmask, excepts, checksign) do { \ 84 test_p(func, z, result, exceptmask, excepts, checksign); \ 85 test_p(func, conjl(z), conjl(result), exceptmask, excepts, checksign); \ 86 } while (0) 87 #define test_tol(func, z, result, tol) do { \ 88 test_p_tol(func, z, result, tol); \ 89 test_p_tol(func, conjl(z), conjl(result), tol); \ 90 } while (0) 91 #define test_odd_tol(func, z, result, tol) do { \ 92 test_tol(func, z, result, tol); \ 93 test_tol(func, -(z), -(result), tol); \ 94 } while (0) 95 #define test_even_tol(func, z, result, tol) do { \ 96 test_tol(func, z, result, tol); \ 97 test_tol(func, -(z), result, tol); \ 98 } while (0) 99 100 /* Test the given function in all precisions. */ 101 #define testall(func, x, result, exceptmask, excepts, checksign) do { \ 102 test(func, x, result, exceptmask, excepts, checksign); \ 103 test(func##f, x, result, exceptmask, excepts, checksign); \ 104 } while (0) 105 #define testall_odd(func, x, result, exceptmask, excepts, checksign) do { \ 106 testall(func, x, result, exceptmask, excepts, checksign); \ 107 testall(func, -x, -result, exceptmask, excepts, checksign); \ 108 } while (0) 109 #define testall_even(func, x, result, exceptmask, excepts, checksign) do { \ 110 testall(func, x, result, exceptmask, excepts, checksign); \ 111 testall(func, -x, result, exceptmask, excepts, checksign); \ 112 } while (0) 113 114 /* 115 * Test the given function in all precisions, within a given tolerance. 116 * The tolerance is specified in ulps. 117 */ 118 #define testall_tol(func, x, result, tol) do { \ 119 test_tol(func, x, result, tol * DBL_ULP()); \ 120 test_tol(func##f, x, result, tol * FLT_ULP()); \ 121 } while (0) 122 #define testall_odd_tol(func, x, result, tol) do { \ 123 test_odd_tol(func, x, result, tol * DBL_ULP()); \ 124 test_odd_tol(func##f, x, result, tol * FLT_ULP()); \ 125 } while (0) 126 #define testall_even_tol(func, x, result, tol) do { \ 127 test_even_tol(func, x, result, tol * DBL_ULP()); \ 128 test_even_tol(func##f, x, result, tol * FLT_ULP()); \ 129 } while (0) 130 131 132 ATF_TC(test_zero_input); 133 ATF_TC_HEAD(test_zero_input, tc) 134 { 135 atf_tc_set_md_var(tc, "descr", "test 0 input"); 136 } 137 ATF_TC_BODY(test_zero_input, tc) 138 { 139 long double complex zero = CMPLXL(0.0, 0.0); 140 141 #if defined(__amd64__) 142 #if defined(__clang__) && \ 143 ((__clang_major__ >= 4)) 144 atf_tc_expect_fail("test fails with clang 4.x+ - bug 217528"); 145 #endif 146 #endif 147 148 /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */ 149 testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 150 testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 151 testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH); 152 testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH); 153 testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 154 testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 155 } 156 157 ATF_TC(test_nan_inputs); 158 ATF_TC_HEAD(test_nan_inputs, tc) 159 { 160 atf_tc_set_md_var(tc, "descr", "test NaN inputs"); 161 } 162 ATF_TC_BODY(test_nan_inputs, tc) 163 { 164 long double complex nan_nan = CMPLXL(NAN, NAN); 165 long double complex z; 166 167 /* 168 * IN CSINH CCOSH CTANH 169 * NaN,NaN NaN,NaN NaN,NaN NaN,NaN 170 * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 171 * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 172 * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 173 * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0 174 * 0,NaN +-0,NaN NaN,+-0 NaN,NaN [inval] 175 * NaN,0 NaN,0 NaN,+-0 NaN,0 176 */ 177 z = nan_nan; 178 testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 179 testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 180 testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 181 testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 182 testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 183 testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 184 185 z = CMPLXL(42, NAN); 186 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 187 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 188 /* XXX We allow a spurious inexact exception here. */ 189 testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 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 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 193 194 z = CMPLXL(NAN, 42); 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, nan_nan, OPT_INVALID, 0, 0); 199 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 200 /* XXX We allow a spurious inexact exception here. */ 201 testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 202 203 z = CMPLXL(NAN, INFINITY); 204 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 205 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 206 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 207 testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0); 208 testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 209 CS_IMAG); 210 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG); 211 212 z = CMPLXL(INFINITY, NAN); 213 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0); 214 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 215 CS_REAL); 216 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 217 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 218 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 219 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 220 221 z = CMPLXL(0, NAN); 222 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, 0); 223 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 224 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 225 testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 226 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 227 testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 228 229 z = CMPLXL(NAN, 0); 230 testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 231 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 232 testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 233 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 234 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 235 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 236 } 237 238 ATF_TC(test_inf_inputs); 239 ATF_TC_HEAD(test_inf_inputs, tc) 240 { 241 atf_tc_set_md_var(tc, "descr", "test infinity inputs"); 242 } 243 ATF_TC_BODY(test_inf_inputs, tc) 244 { 245 static const long double finites[] = { 246 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4, 247 }; 248 long double complex z, c, s; 249 unsigned i; 250 251 if (atf_tc_get_config_var_as_bool_wd(tc, "ci", false)) 252 atf_tc_skip("https://bugs.freebsd.org/244732"); 253 254 /* 255 * IN CSINH CCOSH CTANH 256 * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0 257 * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite) 258 * 0,Inf +-0,NaN inval NaN,+-0 inval NaN,NaN inval 259 * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval 260 */ 261 z = CMPLXL(INFINITY, INFINITY); 262 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), 263 ALL_STD_EXCEPT, FE_INVALID, 0); 264 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), 265 ALL_STD_EXCEPT, FE_INVALID, 0); 266 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 267 testall_odd(csin, z, CMPLXL(NAN, INFINITY), 268 ALL_STD_EXCEPT, FE_INVALID, 0); 269 testall_even(ccos, z, CMPLXL(INFINITY, NAN), 270 ALL_STD_EXCEPT, FE_INVALID, 0); 271 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL); 272 273 /* XXX We allow spurious inexact exceptions here (hard to avoid). */ 274 for (i = 0; i < nitems(finites); i++) { 275 z = CMPLXL(INFINITY, finites[i]); 276 c = INFINITY * cosl(finites[i]); 277 s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]); 278 testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 279 testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 280 testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)), 281 OPT_INEXACT, 0, CS_BOTH); 282 z = CMPLXL(finites[i], INFINITY); 283 testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH); 284 testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH); 285 testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1), 286 OPT_INEXACT, 0, CS_BOTH); 287 } 288 289 z = CMPLXL(0, INFINITY); 290 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 291 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 292 testall_odd(ctanh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 293 z = CMPLXL(INFINITY, 0); 294 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 295 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 296 testall_odd(ctan, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 297 298 z = CMPLXL(42, INFINITY); 299 testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 300 testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 301 /* XXX We allow a spurious inexact exception here. */ 302 testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 303 z = CMPLXL(INFINITY, 42); 304 testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 305 testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 306 /* XXX We allow a spurious inexact exception here. */ 307 testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 308 } 309 310 ATF_TC(test_axes); 311 ATF_TC_HEAD(test_axes, tc) 312 { 313 atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes"); 314 } 315 ATF_TC_BODY(test_axes, tc) 316 { 317 static const long double nums[] = { 318 M_PI / 4, M_PI / 2, 3 * M_PI / 4, 319 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4, 320 }; 321 long double complex z; 322 unsigned i; 323 324 for (i = 0; i < nitems(nums); i++) { 325 /* Real axis */ 326 z = CMPLXL(nums[i], 0.0); 327 test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP()); 328 test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP()); 329 test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP()); 330 test_odd_tol(csin, z, CMPLXL(sin(nums[i]), 331 copysign(0, cos(nums[i]))), DBL_ULP()); 332 test_even_tol(ccos, z, CMPLXL(cos(nums[i]), 333 -copysign(0, sin(nums[i]))), DBL_ULP()); 334 test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP()); 335 336 test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP()); 337 test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP()); 338 printf("%a %a\n", creal(z), cimag(z)); 339 printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z))); 340 printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY)); 341 test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0), 342 1.3 * FLT_ULP()); 343 test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]), 344 copysign(0, cosf(nums[i]))), FLT_ULP()); 345 test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]), 346 -copysign(0, sinf(nums[i]))), 2 * FLT_ULP()); 347 test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP()); 348 349 /* Imaginary axis */ 350 z = CMPLXL(0.0, nums[i]); 351 test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])), 352 sin(nums[i])), DBL_ULP()); 353 test_even_tol(ccosh, z, CMPLXL(cos(nums[i]), 354 copysign(0, sin(nums[i]))), DBL_ULP()); 355 test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP()); 356 test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP()); 357 test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP()); 358 test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP()); 359 360 test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])), 361 sinf(nums[i])), FLT_ULP()); 362 test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]), 363 copysign(0, sinf(nums[i]))), FLT_ULP()); 364 test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP()); 365 test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP()); 366 test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0), 367 FLT_ULP()); 368 test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])), 369 1.3 * FLT_ULP()); 370 } 371 } 372 373 ATF_TC(test_small_inputs); 374 ATF_TC_HEAD(test_small_inputs, tc) 375 { 376 atf_tc_set_md_var(tc, "descr", "test underflow inputs"); 377 } 378 ATF_TC_BODY(test_small_inputs, tc) 379 { 380 /* 381 * z = 0.5 + i Pi/4 382 * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2 383 * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2 384 * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1) 385 * z = -0.5 + i Pi/2 386 * sinh(z) = cosh(0.5) 387 * cosh(z) = -i sinh(0.5) 388 * tanh(z) = -coth(0.5) 389 * z = 1.0 + i 3Pi/4 390 * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2 391 * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2 392 * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1) 393 */ 394 static const struct { 395 long double a, b; 396 long double sinh_a, sinh_b; 397 long double cosh_a, cosh_b; 398 long double tanh_a, tanh_b; 399 } tests[] = { 400 { 0.5L, 401 0.78539816339744830961566084581987572L, 402 0.36847002415910435172083660522240710L, 403 0.79735196663945774996093142586179334L, 404 0.79735196663945774996093142586179334L, 405 0.36847002415910435172083660522240710L, 406 0.76159415595576488811945828260479359L, 407 0.64805427366388539957497735322615032L }, 408 { -0.5L, 409 1.57079632679489661923132169163975144L, 410 0.0L, 411 1.12762596520638078522622516140267201L, 412 0.0L, 413 -0.52109530549374736162242562641149156L, 414 -2.16395341373865284877000401021802312L, 415 0.0L }, 416 { 1.0L, 417 2.35619449019234492884698253745962716L, 418 -0.83099273328405698212637979852748608L, 419 1.09112278079550143030545602018565236L, 420 -1.09112278079550143030545602018565236L, 421 0.83099273328405698212637979852748609L, 422 0.96402758007581688394641372410092315L, 423 -0.26580222883407969212086273981988897L } 424 }; 425 long double complex z; 426 unsigned i; 427 428 for (i = 0; i < nitems(tests); i++) { 429 z = CMPLXL(tests[i].a, tests[i].b); 430 testall_odd_tol(csinh, z, 431 CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1); 432 testall_even_tol(ccosh, z, 433 CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1); 434 testall_odd_tol(ctanh, z, 435 CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4); 436 } 437 } 438 439 ATF_TC(test_large_inputs); 440 ATF_TC_HEAD(test_large_inputs, tc) 441 { 442 atf_tc_set_md_var(tc, "descr", 443 "Test inputs that might cause overflow in a sloppy implementation"); 444 } 445 ATF_TC_BODY(test_large_inputs, tc) 446 { 447 long double complex z; 448 449 /* tanh() uses a threshold around x=22, so check both sides. */ 450 z = CMPLXL(21, 0.78539816339744830961566084581987572L); 451 testall_odd_tol(ctanh, z, 452 CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2); 453 z++; 454 testall_odd_tol(ctanh, z, 455 CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1); 456 457 z = CMPLXL(355, 0.78539816339744830961566084581987572L); 458 test_odd_tol(ctanh, z, 459 CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L), 460 DBL_ULP()); 461 z = CMPLXL(30, 0x1p1023L); 462 test_odd_tol(ctanh, z, 463 CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L), 464 DBL_ULP()); 465 z = CMPLXL(1, 0x1p1023L); 466 test_odd_tol(ctanh, z, 467 CMPLXL(0.878606311888306869546254022621986509L, 468 -0.225462792499754505792678258169527424L), 469 DBL_ULP()); 470 471 z = CMPLXL(710.6, 0.78539816339744830961566084581987572L); 472 test_odd_tol(csinh, z, 473 CMPLXL(1.43917579766621073533185387499658944e308L, 474 1.43917579766621073533185387499658944e308L), DBL_ULP()); 475 test_even_tol(ccosh, z, 476 CMPLXL(1.43917579766621073533185387499658944e308L, 477 1.43917579766621073533185387499658944e308L), DBL_ULP()); 478 479 z = CMPLXL(1500, 0.78539816339744830961566084581987572L); 480 testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 481 FE_OVERFLOW, CS_BOTH); 482 testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 483 FE_OVERFLOW, CS_BOTH); 484 } 485 486 ATF_TP_ADD_TCS(tp) 487 { 488 489 ATF_TP_ADD_TC(tp, test_zero_input); 490 ATF_TP_ADD_TC(tp, test_nan_inputs); 491 ATF_TP_ADD_TC(tp, test_inf_inputs); 492 ATF_TP_ADD_TC(tp, test_axes); 493 ATF_TP_ADD_TC(tp, test_small_inputs); 494 ATF_TP_ADD_TC(tp, test_large_inputs); 495 496 return (atf_no_error()); 497 } 498