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 <assert.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) do { \ 60 volatile long double complex _d = z; \ 61 debug(" testing %s(%Lg + %Lg I) == %Lg + %Lg I\n", #func, \ 62 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 63 assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ 64 assert(cfpequal_cs((func)(_d), (result), (checksign))); \ 65 assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \ 66 } while (0) 67 68 /* 69 * Test within a given tolerance. The tolerance indicates relative error 70 * in ulps. If result is 0, however, it measures absolute error in units 71 * of <format>_EPSILON. 72 */ 73 #define test_p_tol(func, z, result, tol) do { \ 74 volatile long double complex _d = z; \ 75 debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \ 76 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 77 assert(cfpequal_tol((func)(_d), (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 /* Tests for 0 */ 131 void 132 test_zero(void) 133 { 134 long double complex zero = CMPLXL(0.0, 0.0); 135 136 /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */ 137 testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 138 testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 139 testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH); 140 testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH); 141 testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 142 testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 143 } 144 145 /* 146 * Tests for NaN inputs. 147 */ 148 void 149 test_nan() 150 { 151 long double complex nan_nan = CMPLXL(NAN, NAN); 152 long double complex z; 153 154 /* 155 * IN CSINH CCOSH CTANH 156 * NaN,NaN NaN,NaN NaN,NaN NaN,NaN 157 * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 158 * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 159 * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 160 * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0 161 * 0,NaN +-0,NaN NaN,+-0 NaN,NaN [inval] 162 * NaN,0 NaN,0 NaN,+-0 NaN,0 163 */ 164 z = nan_nan; 165 testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 166 testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 167 testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 168 testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 169 testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 170 testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 171 172 z = CMPLXL(42, NAN); 173 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 174 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 175 /* XXX We allow a spurious inexact exception here. */ 176 testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 177 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 178 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 179 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 180 181 z = CMPLXL(NAN, 42); 182 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 183 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 184 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 185 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 186 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 187 /* XXX We allow a spurious inexact exception here. */ 188 testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 189 190 z = CMPLXL(NAN, INFINITY); 191 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 192 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 193 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 194 testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0); 195 testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 196 CS_IMAG); 197 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG); 198 199 z = CMPLXL(INFINITY, NAN); 200 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0); 201 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 202 CS_REAL); 203 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 204 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 205 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 206 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 207 208 z = CMPLXL(0, NAN); 209 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, 0); 210 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 211 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 212 testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 213 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 214 testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 215 216 z = CMPLXL(NAN, 0); 217 testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 218 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 219 testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 220 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 221 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 222 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 223 } 224 225 void 226 test_inf(void) 227 { 228 static const long double finites[] = { 229 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4, 230 }; 231 long double complex z, c, s; 232 int i; 233 234 /* 235 * IN CSINH CCOSH CTANH 236 * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0 237 * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite) 238 * 0,Inf +-0,NaN inval NaN,+-0 inval NaN,NaN inval 239 * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval 240 */ 241 z = CMPLXL(INFINITY, INFINITY); 242 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), 243 ALL_STD_EXCEPT, FE_INVALID, 0); 244 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), 245 ALL_STD_EXCEPT, FE_INVALID, 0); 246 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 247 testall_odd(csin, z, CMPLXL(NAN, INFINITY), 248 ALL_STD_EXCEPT, FE_INVALID, 0); 249 testall_even(ccos, z, CMPLXL(INFINITY, NAN), 250 ALL_STD_EXCEPT, FE_INVALID, 0); 251 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL); 252 253 /* XXX We allow spurious inexact exceptions here (hard to avoid). */ 254 for (i = 0; i < sizeof(finites) / sizeof(finites[0]); i++) { 255 z = CMPLXL(INFINITY, finites[i]); 256 c = INFINITY * cosl(finites[i]); 257 s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]); 258 testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 259 testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 260 testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)), 261 OPT_INEXACT, 0, CS_BOTH); 262 z = CMPLXL(finites[i], INFINITY); 263 testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH); 264 testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH); 265 testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1), 266 OPT_INEXACT, 0, CS_BOTH); 267 } 268 269 z = CMPLXL(0, INFINITY); 270 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 271 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 272 testall_odd(ctanh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 273 z = CMPLXL(INFINITY, 0); 274 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 275 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 276 testall_odd(ctan, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 277 278 z = CMPLXL(42, INFINITY); 279 testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 280 testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 281 /* XXX We allow a spurious inexact exception here. */ 282 testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 283 z = CMPLXL(INFINITY, 42); 284 testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 285 testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 286 /* XXX We allow a spurious inexact exception here. */ 287 testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 288 } 289 290 /* Tests along the real and imaginary axes. */ 291 void 292 test_axes(void) 293 { 294 static const long double nums[] = { 295 M_PI / 4, M_PI / 2, 3 * M_PI / 4, 296 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4, 297 }; 298 long double complex z; 299 int i; 300 301 for (i = 0; i < sizeof(nums) / sizeof(nums[0]); i++) { 302 /* Real axis */ 303 z = CMPLXL(nums[i], 0.0); 304 test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP()); 305 test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP()); 306 test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP()); 307 test_odd_tol(csin, z, CMPLXL(sin(nums[i]), 308 copysign(0, cos(nums[i]))), DBL_ULP()); 309 test_even_tol(ccos, z, CMPLXL(cos(nums[i]), 310 -copysign(0, sin(nums[i]))), DBL_ULP()); 311 test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP()); 312 313 test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP()); 314 test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP()); 315 printf("%a %a\n", creal(z), cimag(z)); 316 printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z))); 317 printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY)); 318 test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0), 319 1.3 * FLT_ULP()); 320 test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]), 321 copysign(0, cosf(nums[i]))), FLT_ULP()); 322 test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]), 323 -copysign(0, sinf(nums[i]))), 2 * FLT_ULP()); 324 test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP()); 325 326 /* Imaginary axis */ 327 z = CMPLXL(0.0, nums[i]); 328 test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])), 329 sin(nums[i])), DBL_ULP()); 330 test_even_tol(ccosh, z, CMPLXL(cos(nums[i]), 331 copysign(0, sin(nums[i]))), DBL_ULP()); 332 test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP()); 333 test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP()); 334 test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP()); 335 test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP()); 336 337 test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])), 338 sinf(nums[i])), FLT_ULP()); 339 test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]), 340 copysign(0, sinf(nums[i]))), FLT_ULP()); 341 test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP()); 342 test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP()); 343 test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0), 344 FLT_ULP()); 345 test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])), 346 1.3 * FLT_ULP()); 347 } 348 } 349 350 void 351 test_small(void) 352 { 353 /* 354 * z = 0.5 + i Pi/4 355 * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2 356 * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2 357 * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1) 358 * z = -0.5 + i Pi/2 359 * sinh(z) = cosh(0.5) 360 * cosh(z) = -i sinh(0.5) 361 * tanh(z) = -coth(0.5) 362 * z = 1.0 + i 3Pi/4 363 * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2 364 * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2 365 * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1) 366 */ 367 static const struct { 368 long double a, b; 369 long double sinh_a, sinh_b; 370 long double cosh_a, cosh_b; 371 long double tanh_a, tanh_b; 372 } tests[] = { 373 { 0.5L, 374 0.78539816339744830961566084581987572L, 375 0.36847002415910435172083660522240710L, 376 0.79735196663945774996093142586179334L, 377 0.79735196663945774996093142586179334L, 378 0.36847002415910435172083660522240710L, 379 0.76159415595576488811945828260479359L, 380 0.64805427366388539957497735322615032L }, 381 { -0.5L, 382 1.57079632679489661923132169163975144L, 383 0.0L, 384 1.12762596520638078522622516140267201L, 385 0.0L, 386 -0.52109530549374736162242562641149156L, 387 -2.16395341373865284877000401021802312L, 388 0.0L }, 389 { 1.0L, 390 2.35619449019234492884698253745962716L, 391 -0.83099273328405698212637979852748608L, 392 1.09112278079550143030545602018565236L, 393 -1.09112278079550143030545602018565236L, 394 0.83099273328405698212637979852748609L, 395 0.96402758007581688394641372410092315L, 396 -0.26580222883407969212086273981988897L } 397 }; 398 long double complex z; 399 int i; 400 401 for (i = 0; i < sizeof(tests) / sizeof(tests[0]); i++) { 402 z = CMPLXL(tests[i].a, tests[i].b); 403 testall_odd_tol(csinh, z, 404 CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1); 405 testall_even_tol(ccosh, z, 406 CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1); 407 testall_odd_tol(ctanh, z, 408 CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4); 409 } 410 } 411 412 /* Test inputs that might cause overflow in a sloppy implementation. */ 413 void 414 test_large(void) 415 { 416 long double complex z; 417 418 /* tanh() uses a threshold around x=22, so check both sides. */ 419 z = CMPLXL(21, 0.78539816339744830961566084581987572L); 420 testall_odd_tol(ctanh, z, 421 CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2); 422 z++; 423 testall_odd_tol(ctanh, z, 424 CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1); 425 426 z = CMPLXL(355, 0.78539816339744830961566084581987572L); 427 test_odd_tol(ctanh, z, 428 CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L), 429 DBL_ULP()); 430 z = CMPLXL(30, 0x1p1023L); 431 test_odd_tol(ctanh, z, 432 CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L), 433 DBL_ULP()); 434 z = CMPLXL(1, 0x1p1023L); 435 test_odd_tol(ctanh, z, 436 CMPLXL(0.878606311888306869546254022621986509L, 437 -0.225462792499754505792678258169527424L), 438 DBL_ULP()); 439 440 z = CMPLXL(710.6, 0.78539816339744830961566084581987572L); 441 test_odd_tol(csinh, z, 442 CMPLXL(1.43917579766621073533185387499658944e308L, 443 1.43917579766621073533185387499658944e308L), DBL_ULP()); 444 test_even_tol(ccosh, z, 445 CMPLXL(1.43917579766621073533185387499658944e308L, 446 1.43917579766621073533185387499658944e308L), DBL_ULP()); 447 448 z = CMPLXL(1500, 0.78539816339744830961566084581987572L); 449 testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 450 FE_OVERFLOW, CS_BOTH); 451 testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 452 FE_OVERFLOW, CS_BOTH); 453 } 454 455 int 456 main(int argc, char *argv[]) 457 { 458 459 printf("1..6\n"); 460 461 test_zero(); 462 printf("ok 1 - ctrig zero\n"); 463 464 test_nan(); 465 printf("ok 2 - ctrig nan\n"); 466 467 test_inf(); 468 printf("ok 3 - ctrig inf\n"); 469 470 test_axes(); 471 printf("ok 4 - ctrig axes\n"); 472 473 test_small(); 474 printf("ok 5 - ctrig small\n"); 475 476 #if defined(__i386__) 477 printf("ok 6 # SKIP ctrig large # fails on i386 because of bug 205446\n"); 478 #else 479 test_large(); 480 printf("ok 6 - ctrig large\n"); 481 #endif 482 483 return (0); 484 } 485