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 "test-utils.h" 42 43 #pragma STDC FENV_ACCESS ON 44 #pragma STDC CX_LIMITED_RANGE OFF 45 46 /* 47 * Test that a function returns the correct value and sets the 48 * exception flags correctly. The exceptmask specifies which 49 * exceptions we should check. We need to be lenient for several 50 * reasons, but mainly because on some architectures it's impossible 51 * to raise FE_OVERFLOW without raising FE_INEXACT. 52 * 53 * These are macros instead of functions so that assert provides more 54 * meaningful error messages. 55 * 56 * XXX The volatile here is to avoid gcc's bogus constant folding and work 57 * around the lack of support for the FENV_ACCESS pragma. 58 */ 59 #define test_p(func, z, result, exceptmask, excepts, checksign) \ 60 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 CHECK_CFPEQUAL_CS((func)(_d), (result), (checksign)); \ 66 volatile int _e = fetestexcept(exceptmask); \ 67 ATF_CHECK_MSG(_e == (excepts), \ 68 "%s fetestexcept(%s) (%#x) != %#x", __XSTRING(func), \ 69 __XSTRING(exceptmask), _e, (excepts)); \ 70 } while (0) 71 72 /* 73 * Test within a given tolerance. The tolerance indicates relative error 74 * in ulps. If result is 0, however, it measures absolute error in units 75 * of <format>_EPSILON. 76 */ 77 #define test_p_tol(func, z, result, tol) do { \ 78 debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \ 79 creall(z), cimagl(z), creall(result), cimagl(result)); \ 80 CHECK_CFPEQUAL_TOL((func)(z), (result), (tol), FPE_ABS_ZERO); \ 81 } while (0) 82 83 /* These wrappers apply the identities f(conj(z)) = conj(f(z)). */ 84 #define test(func, z, result, exceptmask, excepts, checksign) do { \ 85 test_p(func, z, result, exceptmask, excepts, checksign); \ 86 test_p(func, conjl(z), conjl(result), exceptmask, excepts, checksign); \ 87 } while (0) 88 #define test_tol(func, z, result, tol) do { \ 89 test_p_tol(func, z, result, tol); \ 90 test_p_tol(func, conjl(z), conjl(result), tol); \ 91 } while (0) 92 #define test_odd_tol(func, z, result, tol) do { \ 93 test_tol(func, z, result, tol); \ 94 test_tol(func, -(z), -(result), tol); \ 95 } while (0) 96 #define test_even_tol(func, z, result, tol) do { \ 97 test_tol(func, z, result, tol); \ 98 test_tol(func, -(z), result, tol); \ 99 } while (0) 100 101 /* Test the given function in all precisions. */ 102 #define testall(func, x, result, exceptmask, excepts, checksign) do { \ 103 test(func, x, result, exceptmask, excepts, checksign); \ 104 test(func##f, x, result, exceptmask, excepts, checksign); \ 105 } while (0) 106 #define testall_odd(func, x, result, exceptmask, excepts, checksign) do { \ 107 testall(func, x, result, exceptmask, excepts, checksign); \ 108 testall(func, -x, -result, exceptmask, excepts, checksign); \ 109 } while (0) 110 #define testall_even(func, x, result, exceptmask, excepts, checksign) do { \ 111 testall(func, x, result, exceptmask, excepts, checksign); \ 112 testall(func, -x, result, exceptmask, excepts, checksign); \ 113 } while (0) 114 115 /* 116 * Test the given function in all precisions, within a given tolerance. 117 * The tolerance is specified in ulps. 118 */ 119 #define testall_tol(func, x, result, tol) do { \ 120 test_tol(func, x, result, tol * DBL_ULP()); \ 121 test_tol(func##f, x, result, tol * FLT_ULP()); \ 122 } while (0) 123 #define testall_odd_tol(func, x, result, tol) do { \ 124 test_odd_tol(func, x, result, tol * DBL_ULP()); \ 125 test_odd_tol(func##f, x, result, tol * FLT_ULP()); \ 126 } while (0) 127 #define testall_even_tol(func, x, result, tol) do { \ 128 test_even_tol(func, x, result, tol * DBL_ULP()); \ 129 test_even_tol(func##f, x, result, tol * FLT_ULP()); \ 130 } while (0) 131 132 133 ATF_TC(test_zero_input); 134 ATF_TC_HEAD(test_zero_input, tc) 135 { 136 atf_tc_set_md_var(tc, "descr", "test 0 input"); 137 } 138 ATF_TC_BODY(test_zero_input, tc) 139 { 140 long double complex zero = CMPLXL(0.0, 0.0); 141 142 /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */ 143 testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 144 testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 145 testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH); 146 testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH); 147 testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 148 testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 149 } 150 151 ATF_TC(test_nan_inputs); 152 ATF_TC_HEAD(test_nan_inputs, tc) 153 { 154 atf_tc_set_md_var(tc, "descr", "test NaN inputs"); 155 } 156 ATF_TC_BODY(test_nan_inputs, tc) 157 { 158 long double complex nan_nan = CMPLXL(NAN, NAN); 159 long double complex z; 160 161 /* 162 * IN CSINH CCOSH CTANH 163 * NaN,NaN NaN,NaN NaN,NaN NaN,NaN 164 * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 165 * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 166 * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 167 * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0 168 * 0,NaN +-0,NaN NaN,+-0 +-0,NaN 169 * NaN,0 NaN,0 NaN,+-0 NaN,+-0 170 */ 171 z = nan_nan; 172 testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 173 testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 174 testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 175 testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 176 testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 177 testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 178 179 z = CMPLXL(42, NAN); 180 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 181 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 182 /* XXX We allow a spurious inexact exception here. */ 183 testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 184 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 185 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 186 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 187 188 z = CMPLXL(NAN, 42); 189 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 190 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 191 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 192 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 193 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 194 /* XXX We allow a spurious inexact exception here. */ 195 testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 196 197 z = CMPLXL(NAN, INFINITY); 198 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 199 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 200 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 201 testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0); 202 testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 203 CS_IMAG); 204 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG); 205 206 z = CMPLXL(INFINITY, NAN); 207 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0); 208 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 209 CS_REAL); 210 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 211 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 212 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 213 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 214 215 z = CMPLXL(0, NAN); 216 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 217 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 218 testall_odd(ctanh, z, CMPLXL(0, NAN), OPT_INVALID, 0, CS_REAL); 219 testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 220 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 221 testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 222 223 z = CMPLXL(NAN, 0); 224 testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 225 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 226 testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 227 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 228 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 229 testall_odd(ctan, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 230 } 231 232 ATF_TC(test_inf_inputs); 233 ATF_TC_HEAD(test_inf_inputs, tc) 234 { 235 atf_tc_set_md_var(tc, "descr", "test infinity inputs"); 236 } 237 ATF_TC_BODY(test_inf_inputs, tc) 238 { 239 static const long double finites[] = { 240 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4, 241 }; 242 long double complex z, c, s; 243 unsigned i; 244 245 /* 246 * IN CSINH CCOSH CTANH 247 * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0 248 * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite) 249 * 0,Inf +-0,NaN inval NaN,+-0 inval +-0,NaN 250 * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval 251 */ 252 z = CMPLXL(INFINITY, INFINITY); 253 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), 254 ALL_STD_EXCEPT, FE_INVALID, 0); 255 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), 256 ALL_STD_EXCEPT, FE_INVALID, 0); 257 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 258 testall_odd(csin, z, CMPLXL(NAN, INFINITY), 259 ALL_STD_EXCEPT, FE_INVALID, 0); 260 testall_even(ccos, z, CMPLXL(INFINITY, NAN), 261 ALL_STD_EXCEPT, FE_INVALID, 0); 262 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL); 263 264 /* XXX We allow spurious inexact exceptions here (hard to avoid). */ 265 for (i = 0; i < nitems(finites); i++) { 266 z = CMPLXL(INFINITY, finites[i]); 267 c = INFINITY * cosl(finites[i]); 268 s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]); 269 testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 270 testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 271 testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)), 272 OPT_INEXACT, 0, CS_BOTH); 273 z = CMPLXL(finites[i], INFINITY); 274 testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH); 275 testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH); 276 testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1), 277 OPT_INEXACT, 0, CS_BOTH); 278 } 279 280 z = CMPLXL(0, INFINITY); 281 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 282 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 283 testall_odd(ctanh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, CS_REAL); 284 z = CMPLXL(INFINITY, 0); 285 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 286 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 287 testall_odd(ctan, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, CS_IMAG); 288 289 z = CMPLXL(42, INFINITY); 290 testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 291 testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 292 /* XXX We allow a spurious inexact exception here. */ 293 testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 294 z = CMPLXL(INFINITY, 42); 295 testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 296 testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 297 /* XXX We allow a spurious inexact exception here. */ 298 testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 299 } 300 301 ATF_TC(test_axes); 302 ATF_TC_HEAD(test_axes, tc) 303 { 304 atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes"); 305 } 306 ATF_TC_BODY(test_axes, tc) 307 { 308 static const long double nums[] = { 309 M_PI / 4, M_PI / 2, 3 * M_PI / 4, 310 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4, 311 }; 312 long double complex z; 313 unsigned i; 314 315 for (i = 0; i < nitems(nums); i++) { 316 /* Real axis */ 317 z = CMPLXL(nums[i], 0.0); 318 test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP()); 319 test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP()); 320 test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP()); 321 test_odd_tol(csin, z, CMPLXL(sin(nums[i]), 322 copysign(0, cos(nums[i]))), DBL_ULP()); 323 test_even_tol(ccos, z, CMPLXL(cos(nums[i]), 324 -copysign(0, sin(nums[i]))), DBL_ULP()); 325 test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP()); 326 327 test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP()); 328 test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP()); 329 printf("%a %a\n", creal(z), cimag(z)); 330 printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z))); 331 printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY)); 332 test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0), 333 1.3 * FLT_ULP()); 334 test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]), 335 copysign(0, cosf(nums[i]))), FLT_ULP()); 336 test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]), 337 -copysign(0, sinf(nums[i]))), 2 * FLT_ULP()); 338 test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP()); 339 340 /* Imaginary axis */ 341 z = CMPLXL(0.0, nums[i]); 342 test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])), 343 sin(nums[i])), DBL_ULP()); 344 test_even_tol(ccosh, z, CMPLXL(cos(nums[i]), 345 copysign(0, sin(nums[i]))), DBL_ULP()); 346 test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP()); 347 test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP()); 348 test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP()); 349 test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP()); 350 351 test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])), 352 sinf(nums[i])), FLT_ULP()); 353 test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]), 354 copysign(0, sinf(nums[i]))), FLT_ULP()); 355 test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP()); 356 test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP()); 357 test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0), 358 FLT_ULP()); 359 test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])), 360 1.3 * FLT_ULP()); 361 } 362 } 363 364 ATF_TC(test_small_inputs); 365 ATF_TC_HEAD(test_small_inputs, tc) 366 { 367 atf_tc_set_md_var(tc, "descr", "test underflow inputs"); 368 } 369 ATF_TC_BODY(test_small_inputs, tc) 370 { 371 /* 372 * z = 0.5 + i Pi/4 373 * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2 374 * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2 375 * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1) 376 * z = -0.5 + i Pi/2 377 * sinh(z) = cosh(0.5) 378 * cosh(z) = -i sinh(0.5) 379 * tanh(z) = -coth(0.5) 380 * z = 1.0 + i 3Pi/4 381 * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2 382 * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2 383 * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1) 384 */ 385 static const struct { 386 long double a, b; 387 long double sinh_a, sinh_b; 388 long double cosh_a, cosh_b; 389 long double tanh_a, tanh_b; 390 } tests[] = { 391 { 0.5L, 392 0.78539816339744830961566084581987572L, 393 0.36847002415910435172083660522240710L, 394 0.79735196663945774996093142586179334L, 395 0.79735196663945774996093142586179334L, 396 0.36847002415910435172083660522240710L, 397 0.76159415595576488811945828260479359L, 398 0.64805427366388539957497735322615032L }, 399 { -0.5L, 400 1.57079632679489661923132169163975144L, 401 0.0L, 402 1.12762596520638078522622516140267201L, 403 0.0L, 404 -0.52109530549374736162242562641149156L, 405 -2.16395341373865284877000401021802312L, 406 0.0L }, 407 { 1.0L, 408 2.35619449019234492884698253745962716L, 409 -0.83099273328405698212637979852748608L, 410 1.09112278079550143030545602018565236L, 411 -1.09112278079550143030545602018565236L, 412 0.83099273328405698212637979852748609L, 413 0.96402758007581688394641372410092315L, 414 -0.26580222883407969212086273981988897L } 415 }; 416 long double complex z; 417 unsigned i; 418 419 for (i = 0; i < nitems(tests); i++) { 420 z = CMPLXL(tests[i].a, tests[i].b); 421 testall_odd_tol(csinh, z, 422 CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1); 423 testall_even_tol(ccosh, z, 424 CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1); 425 testall_odd_tol(ctanh, z, 426 CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4); 427 } 428 } 429 430 ATF_TC(test_large_inputs); 431 ATF_TC_HEAD(test_large_inputs, tc) 432 { 433 atf_tc_set_md_var(tc, "descr", 434 "Test inputs that might cause overflow in a sloppy implementation"); 435 } 436 ATF_TC_BODY(test_large_inputs, tc) 437 { 438 long double complex z; 439 440 /* tanh() uses a threshold around x=22, so check both sides. */ 441 z = CMPLXL(21, 0.78539816339744830961566084581987572L); 442 testall_odd_tol(ctanh, z, 443 CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2); 444 z++; 445 testall_odd_tol(ctanh, z, 446 CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1); 447 448 z = CMPLXL(355, 0.78539816339744830961566084581987572L); 449 test_odd_tol(ctanh, z, 450 CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L), 451 DBL_ULP()); 452 z = CMPLXL(30, 0x1p1023L); 453 test_odd_tol(ctanh, z, 454 CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L), 455 DBL_ULP()); 456 z = CMPLXL(1, 0x1p1023L); 457 test_odd_tol(ctanh, z, 458 CMPLXL(0.878606311888306869546254022621986509L, 459 -0.225462792499754505792678258169527424L), 460 DBL_ULP()); 461 462 z = CMPLXL(710.6, 0.78539816339744830961566084581987572L); 463 test_odd_tol(csinh, z, 464 CMPLXL(1.43917579766621073533185387499658944e308L, 465 1.43917579766621073533185387499658944e308L), DBL_ULP()); 466 test_even_tol(ccosh, z, 467 CMPLXL(1.43917579766621073533185387499658944e308L, 468 1.43917579766621073533185387499658944e308L), DBL_ULP()); 469 470 z = CMPLXL(1500, 0.78539816339744830961566084581987572L); 471 testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 472 FE_OVERFLOW, CS_BOTH); 473 testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 474 FE_OVERFLOW, CS_BOTH); 475 } 476 477 ATF_TP_ADD_TCS(tp) 478 { 479 480 ATF_TP_ADD_TC(tp, test_zero_input); 481 ATF_TP_ADD_TC(tp, test_nan_inputs); 482 ATF_TP_ADD_TC(tp, test_inf_inputs); 483 ATF_TP_ADD_TC(tp, test_axes); 484 ATF_TP_ADD_TC(tp, test_small_inputs); 485 ATF_TP_ADD_TC(tp, test_large_inputs); 486 487 return (atf_no_error()); 488 } 489