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) \ 62 do { \ 63 volatile long double complex _d = z; \ 64 debug(" testing %s(%Lg + %Lg I) == %Lg + %Lg I\n", #func, \ 65 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 66 ATF_CHECK(feclearexcept(FE_ALL_EXCEPT) == 0); \ 67 volatile long double complex _r = (func)(_d); \ 68 ATF_CHECK_MSG(cfpequal_cs(_r, (result), (checksign)), \ 69 "%s (%Lg + %Lg I) != expected (%Lg + %Lg I)", \ 70 __XSTRING((func)(_d)), creall(_r), cimagl(_r), \ 71 creall(result), cimagl(result)); \ 72 volatile int _e = fetestexcept(exceptmask); \ 73 ATF_CHECK_MSG(_e == (excepts), \ 74 "%s fetestexcept(%s) (%#x) != %#x", __XSTRING(func), \ 75 __XSTRING(exceptmask), _e, (excepts)); \ 76 } while (0) 77 78 /* 79 * Test within a given tolerance. The tolerance indicates relative error 80 * in ulps. If result is 0, however, it measures absolute error in units 81 * of <format>_EPSILON. 82 */ 83 #define test_p_tol(func, z, result, tol) do { \ 84 volatile long double complex _d = z; \ 85 debug(" testing %s(%Lg + %Lg I) ~= %Lg + %Lg I\n", #func, \ 86 creall(_d), cimagl(_d), creall(result), cimagl(result)); \ 87 ATF_CHECK(cfpequal_tol((func)(_d), (result), (tol), FPE_ABS_ZERO)); \ 88 } while (0) 89 90 /* These wrappers apply the identities f(conj(z)) = conj(f(z)). */ 91 #define test(func, z, result, exceptmask, excepts, checksign) do { \ 92 test_p(func, z, result, exceptmask, excepts, checksign); \ 93 test_p(func, conjl(z), conjl(result), exceptmask, excepts, checksign); \ 94 } while (0) 95 #define test_tol(func, z, result, tol) do { \ 96 test_p_tol(func, z, result, tol); \ 97 test_p_tol(func, conjl(z), conjl(result), tol); \ 98 } while (0) 99 #define test_odd_tol(func, z, result, tol) do { \ 100 test_tol(func, z, result, tol); \ 101 test_tol(func, -(z), -(result), tol); \ 102 } while (0) 103 #define test_even_tol(func, z, result, tol) do { \ 104 test_tol(func, z, result, tol); \ 105 test_tol(func, -(z), result, tol); \ 106 } while (0) 107 108 /* Test the given function in all precisions. */ 109 #define testall(func, x, result, exceptmask, excepts, checksign) do { \ 110 test(func, x, result, exceptmask, excepts, checksign); \ 111 test(func##f, x, result, exceptmask, excepts, checksign); \ 112 } while (0) 113 #define testall_odd(func, x, result, exceptmask, excepts, checksign) do { \ 114 testall(func, x, result, exceptmask, excepts, checksign); \ 115 testall(func, -x, -result, exceptmask, excepts, checksign); \ 116 } while (0) 117 #define testall_even(func, x, result, exceptmask, excepts, checksign) do { \ 118 testall(func, x, result, exceptmask, excepts, checksign); \ 119 testall(func, -x, result, exceptmask, excepts, checksign); \ 120 } while (0) 121 122 /* 123 * Test the given function in all precisions, within a given tolerance. 124 * The tolerance is specified in ulps. 125 */ 126 #define testall_tol(func, x, result, tol) do { \ 127 test_tol(func, x, result, tol * DBL_ULP()); \ 128 test_tol(func##f, x, result, tol * FLT_ULP()); \ 129 } while (0) 130 #define testall_odd_tol(func, x, result, tol) do { \ 131 test_odd_tol(func, x, result, tol * DBL_ULP()); \ 132 test_odd_tol(func##f, x, result, tol * FLT_ULP()); \ 133 } while (0) 134 #define testall_even_tol(func, x, result, tol) do { \ 135 test_even_tol(func, x, result, tol * DBL_ULP()); \ 136 test_even_tol(func##f, x, result, tol * FLT_ULP()); \ 137 } while (0) 138 139 140 ATF_TC(test_zero_input); 141 ATF_TC_HEAD(test_zero_input, tc) 142 { 143 atf_tc_set_md_var(tc, "descr", "test 0 input"); 144 } 145 ATF_TC_BODY(test_zero_input, tc) 146 { 147 long double complex zero = CMPLXL(0.0, 0.0); 148 149 /* csinh(0) = ctanh(0) = 0; ccosh(0) = 1 (no exceptions raised) */ 150 testall_odd(csinh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 151 testall_odd(csin, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 152 testall_even(ccosh, zero, 1.0, ALL_STD_EXCEPT, 0, CS_BOTH); 153 testall_even(ccos, zero, CMPLXL(1.0, -0.0), ALL_STD_EXCEPT, 0, CS_BOTH); 154 testall_odd(ctanh, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 155 testall_odd(ctan, zero, zero, ALL_STD_EXCEPT, 0, CS_BOTH); 156 } 157 158 ATF_TC(test_nan_inputs); 159 ATF_TC_HEAD(test_nan_inputs, tc) 160 { 161 atf_tc_set_md_var(tc, "descr", "test NaN inputs"); 162 } 163 ATF_TC_BODY(test_nan_inputs, tc) 164 { 165 long double complex nan_nan = CMPLXL(NAN, NAN); 166 long double complex z; 167 168 /* 169 * IN CSINH CCOSH CTANH 170 * NaN,NaN NaN,NaN NaN,NaN NaN,NaN 171 * finite,NaN NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 172 * NaN,finite NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 173 * NaN,Inf NaN,NaN [inval] NaN,NaN [inval] NaN,NaN [inval] 174 * Inf,NaN +-Inf,NaN Inf,NaN 1,+-0 175 * 0,NaN +-0,NaN NaN,+-0 +-0,NaN 176 * NaN,0 NaN,0 NaN,+-0 NaN,+-0 177 */ 178 z = nan_nan; 179 testall_odd(csinh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 180 testall_even(ccosh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 181 testall_odd(ctanh, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 182 testall_odd(csin, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 183 testall_even(ccos, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 184 testall_odd(ctan, z, nan_nan, ALL_STD_EXCEPT, 0, 0); 185 186 z = CMPLXL(42, NAN); 187 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 188 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 189 /* XXX We allow a spurious inexact exception here. */ 190 testall_odd(ctanh, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 191 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 192 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 193 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 194 195 z = CMPLXL(NAN, 42); 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, nan_nan, OPT_INVALID, 0, 0); 200 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 201 /* XXX We allow a spurious inexact exception here. */ 202 testall_odd(ctan, z, nan_nan, OPT_INVALID & ~FE_INEXACT, 0, 0); 203 204 z = CMPLXL(NAN, INFINITY); 205 testall_odd(csinh, z, nan_nan, OPT_INVALID, 0, 0); 206 testall_even(ccosh, z, nan_nan, OPT_INVALID, 0, 0); 207 testall_odd(ctanh, z, nan_nan, OPT_INVALID, 0, 0); 208 testall_odd(csin, z, CMPLXL(NAN, INFINITY), ALL_STD_EXCEPT, 0, 0); 209 testall_even(ccos, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 210 CS_IMAG); 211 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_IMAG); 212 213 z = CMPLXL(INFINITY, NAN); 214 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 0); 215 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), ALL_STD_EXCEPT, 0, 216 CS_REAL); 217 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 218 testall_odd(csin, z, nan_nan, OPT_INVALID, 0, 0); 219 testall_even(ccos, z, nan_nan, OPT_INVALID, 0, 0); 220 testall_odd(ctan, z, nan_nan, OPT_INVALID, 0, 0); 221 222 z = CMPLXL(0, NAN); 223 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 224 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 225 testall_odd(ctanh, z, CMPLXL(0, NAN), OPT_INVALID, 0, CS_REAL); 226 testall_odd(csin, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 227 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 228 testall_odd(ctan, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, 0, CS_REAL); 229 230 z = CMPLXL(NAN, 0); 231 testall_odd(csinh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 232 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 233 testall_odd(ctanh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 234 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 235 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, 0); 236 testall_odd(ctan, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, 0, CS_IMAG); 237 } 238 239 ATF_TC(test_inf_inputs); 240 ATF_TC_HEAD(test_inf_inputs, tc) 241 { 242 atf_tc_set_md_var(tc, "descr", "test infinity inputs"); 243 } 244 ATF_TC_BODY(test_inf_inputs, tc) 245 { 246 static const long double finites[] = { 247 0, M_PI / 4, 3 * M_PI / 4, 5 * M_PI / 4, 248 }; 249 long double complex z, c, s; 250 unsigned i; 251 252 /* 253 * IN CSINH CCOSH CTANH 254 * Inf,Inf +-Inf,NaN inval +-Inf,NaN inval 1,+-0 255 * Inf,finite Inf cis(finite) Inf cis(finite) 1,0 sin(2 finite) 256 * 0,Inf +-0,NaN inval NaN,+-0 inval +-0,NaN 257 * finite,Inf NaN,NaN inval NaN,NaN inval NaN,NaN inval 258 */ 259 z = CMPLXL(INFINITY, INFINITY); 260 testall_odd(csinh, z, CMPLXL(INFINITY, NAN), 261 ALL_STD_EXCEPT, FE_INVALID, 0); 262 testall_even(ccosh, z, CMPLXL(INFINITY, NAN), 263 ALL_STD_EXCEPT, FE_INVALID, 0); 264 testall_odd(ctanh, z, CMPLXL(1, 0), ALL_STD_EXCEPT, 0, CS_REAL); 265 testall_odd(csin, z, CMPLXL(NAN, INFINITY), 266 ALL_STD_EXCEPT, FE_INVALID, 0); 267 testall_even(ccos, z, CMPLXL(INFINITY, NAN), 268 ALL_STD_EXCEPT, FE_INVALID, 0); 269 testall_odd(ctan, z, CMPLXL(0, 1), ALL_STD_EXCEPT, 0, CS_REAL); 270 271 /* XXX We allow spurious inexact exceptions here (hard to avoid). */ 272 for (i = 0; i < nitems(finites); i++) { 273 z = CMPLXL(INFINITY, finites[i]); 274 c = INFINITY * cosl(finites[i]); 275 s = finites[i] == 0 ? finites[i] : INFINITY * sinl(finites[i]); 276 testall_odd(csinh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 277 testall_even(ccosh, z, CMPLXL(c, s), OPT_INEXACT, 0, CS_BOTH); 278 testall_odd(ctanh, z, CMPLXL(1, 0 * sin(finites[i] * 2)), 279 OPT_INEXACT, 0, CS_BOTH); 280 z = CMPLXL(finites[i], INFINITY); 281 testall_odd(csin, z, CMPLXL(s, c), OPT_INEXACT, 0, CS_BOTH); 282 testall_even(ccos, z, CMPLXL(c, -s), OPT_INEXACT, 0, CS_BOTH); 283 testall_odd(ctan, z, CMPLXL(0 * sin(finites[i] * 2), 1), 284 OPT_INEXACT, 0, CS_BOTH); 285 } 286 287 z = CMPLXL(0, INFINITY); 288 testall_odd(csinh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 289 testall_even(ccosh, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 290 testall_odd(ctanh, z, CMPLXL(0, NAN), ALL_STD_EXCEPT, FE_INVALID, CS_REAL); 291 z = CMPLXL(INFINITY, 0); 292 testall_odd(csin, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 293 testall_even(ccos, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, 0); 294 testall_odd(ctan, z, CMPLXL(NAN, 0), ALL_STD_EXCEPT, FE_INVALID, CS_IMAG); 295 296 z = CMPLXL(42, INFINITY); 297 testall_odd(csinh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 298 testall_even(ccosh, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 299 /* XXX We allow a spurious inexact exception here. */ 300 testall_odd(ctanh, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 301 z = CMPLXL(INFINITY, 42); 302 testall_odd(csin, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 303 testall_even(ccos, z, CMPLXL(NAN, NAN), ALL_STD_EXCEPT, FE_INVALID, 0); 304 /* XXX We allow a spurious inexact exception here. */ 305 testall_odd(ctan, z, CMPLXL(NAN, NAN), OPT_INEXACT, FE_INVALID, 0); 306 } 307 308 ATF_TC(test_axes); 309 ATF_TC_HEAD(test_axes, tc) 310 { 311 atf_tc_set_md_var(tc, "descr", "test along the real/imaginary axes"); 312 } 313 ATF_TC_BODY(test_axes, tc) 314 { 315 static const long double nums[] = { 316 M_PI / 4, M_PI / 2, 3 * M_PI / 4, 317 5 * M_PI / 4, 3 * M_PI / 2, 7 * M_PI / 4, 318 }; 319 long double complex z; 320 unsigned i; 321 322 for (i = 0; i < nitems(nums); i++) { 323 /* Real axis */ 324 z = CMPLXL(nums[i], 0.0); 325 test_odd_tol(csinh, z, CMPLXL(sinh(nums[i]), 0), DBL_ULP()); 326 test_even_tol(ccosh, z, CMPLXL(cosh(nums[i]), 0), DBL_ULP()); 327 test_odd_tol(ctanh, z, CMPLXL(tanh(nums[i]), 0), DBL_ULP()); 328 test_odd_tol(csin, z, CMPLXL(sin(nums[i]), 329 copysign(0, cos(nums[i]))), DBL_ULP()); 330 test_even_tol(ccos, z, CMPLXL(cos(nums[i]), 331 -copysign(0, sin(nums[i]))), DBL_ULP()); 332 test_odd_tol(ctan, z, CMPLXL(tan(nums[i]), 0), DBL_ULP()); 333 334 test_odd_tol(csinhf, z, CMPLXL(sinhf(nums[i]), 0), FLT_ULP()); 335 test_even_tol(ccoshf, z, CMPLXL(coshf(nums[i]), 0), FLT_ULP()); 336 printf("%a %a\n", creal(z), cimag(z)); 337 printf("%a %a\n", creal(ctanhf(z)), cimag(ctanhf(z))); 338 printf("%a\n", nextafterf(tanhf(nums[i]), INFINITY)); 339 test_odd_tol(ctanhf, z, CMPLXL(tanhf(nums[i]), 0), 340 1.3 * FLT_ULP()); 341 test_odd_tol(csinf, z, CMPLXL(sinf(nums[i]), 342 copysign(0, cosf(nums[i]))), FLT_ULP()); 343 test_even_tol(ccosf, z, CMPLXL(cosf(nums[i]), 344 -copysign(0, sinf(nums[i]))), 2 * FLT_ULP()); 345 test_odd_tol(ctanf, z, CMPLXL(tanf(nums[i]), 0), FLT_ULP()); 346 347 /* Imaginary axis */ 348 z = CMPLXL(0.0, nums[i]); 349 test_odd_tol(csinh, z, CMPLXL(copysign(0, cos(nums[i])), 350 sin(nums[i])), DBL_ULP()); 351 test_even_tol(ccosh, z, CMPLXL(cos(nums[i]), 352 copysign(0, sin(nums[i]))), DBL_ULP()); 353 test_odd_tol(ctanh, z, CMPLXL(0, tan(nums[i])), DBL_ULP()); 354 test_odd_tol(csin, z, CMPLXL(0, sinh(nums[i])), DBL_ULP()); 355 test_even_tol(ccos, z, CMPLXL(cosh(nums[i]), -0.0), DBL_ULP()); 356 test_odd_tol(ctan, z, CMPLXL(0, tanh(nums[i])), DBL_ULP()); 357 358 test_odd_tol(csinhf, z, CMPLXL(copysign(0, cosf(nums[i])), 359 sinf(nums[i])), FLT_ULP()); 360 test_even_tol(ccoshf, z, CMPLXL(cosf(nums[i]), 361 copysign(0, sinf(nums[i]))), FLT_ULP()); 362 test_odd_tol(ctanhf, z, CMPLXL(0, tanf(nums[i])), FLT_ULP()); 363 test_odd_tol(csinf, z, CMPLXL(0, sinhf(nums[i])), FLT_ULP()); 364 test_even_tol(ccosf, z, CMPLXL(coshf(nums[i]), -0.0), 365 FLT_ULP()); 366 test_odd_tol(ctanf, z, CMPLXL(0, tanhf(nums[i])), 367 1.3 * FLT_ULP()); 368 } 369 } 370 371 ATF_TC(test_small_inputs); 372 ATF_TC_HEAD(test_small_inputs, tc) 373 { 374 atf_tc_set_md_var(tc, "descr", "test underflow inputs"); 375 } 376 ATF_TC_BODY(test_small_inputs, tc) 377 { 378 /* 379 * z = 0.5 + i Pi/4 380 * sinh(z) = (sinh(0.5) + i cosh(0.5)) * sqrt(2)/2 381 * cosh(z) = (cosh(0.5) + i sinh(0.5)) * sqrt(2)/2 382 * tanh(z) = (2cosh(0.5)sinh(0.5) + i) / (2 cosh(0.5)**2 - 1) 383 * z = -0.5 + i Pi/2 384 * sinh(z) = cosh(0.5) 385 * cosh(z) = -i sinh(0.5) 386 * tanh(z) = -coth(0.5) 387 * z = 1.0 + i 3Pi/4 388 * sinh(z) = (-sinh(1) + i cosh(1)) * sqrt(2)/2 389 * cosh(z) = (-cosh(1) + i sinh(1)) * sqrt(2)/2 390 * tanh(z) = (2cosh(1)sinh(1) - i) / (2cosh(1)**2 - 1) 391 */ 392 static const struct { 393 long double a, b; 394 long double sinh_a, sinh_b; 395 long double cosh_a, cosh_b; 396 long double tanh_a, tanh_b; 397 } tests[] = { 398 { 0.5L, 399 0.78539816339744830961566084581987572L, 400 0.36847002415910435172083660522240710L, 401 0.79735196663945774996093142586179334L, 402 0.79735196663945774996093142586179334L, 403 0.36847002415910435172083660522240710L, 404 0.76159415595576488811945828260479359L, 405 0.64805427366388539957497735322615032L }, 406 { -0.5L, 407 1.57079632679489661923132169163975144L, 408 0.0L, 409 1.12762596520638078522622516140267201L, 410 0.0L, 411 -0.52109530549374736162242562641149156L, 412 -2.16395341373865284877000401021802312L, 413 0.0L }, 414 { 1.0L, 415 2.35619449019234492884698253745962716L, 416 -0.83099273328405698212637979852748608L, 417 1.09112278079550143030545602018565236L, 418 -1.09112278079550143030545602018565236L, 419 0.83099273328405698212637979852748609L, 420 0.96402758007581688394641372410092315L, 421 -0.26580222883407969212086273981988897L } 422 }; 423 long double complex z; 424 unsigned i; 425 426 for (i = 0; i < nitems(tests); i++) { 427 z = CMPLXL(tests[i].a, tests[i].b); 428 testall_odd_tol(csinh, z, 429 CMPLXL(tests[i].sinh_a, tests[i].sinh_b), 1.1); 430 testall_even_tol(ccosh, z, 431 CMPLXL(tests[i].cosh_a, tests[i].cosh_b), 1.1); 432 testall_odd_tol(ctanh, z, 433 CMPLXL(tests[i].tanh_a, tests[i].tanh_b), 1.4); 434 } 435 } 436 437 ATF_TC(test_large_inputs); 438 ATF_TC_HEAD(test_large_inputs, tc) 439 { 440 atf_tc_set_md_var(tc, "descr", 441 "Test inputs that might cause overflow in a sloppy implementation"); 442 } 443 ATF_TC_BODY(test_large_inputs, tc) 444 { 445 long double complex z; 446 447 /* tanh() uses a threshold around x=22, so check both sides. */ 448 z = CMPLXL(21, 0.78539816339744830961566084581987572L); 449 testall_odd_tol(ctanh, z, 450 CMPLXL(1.0, 1.14990445285871196133287617611468468e-18L), 1.2); 451 z++; 452 testall_odd_tol(ctanh, z, 453 CMPLXL(1.0, 1.55622644822675930314266334585597964e-19L), 1); 454 455 z = CMPLXL(355, 0.78539816339744830961566084581987572L); 456 test_odd_tol(ctanh, z, 457 CMPLXL(1.0, 8.95257245135025991216632140458264468e-309L), 458 DBL_ULP()); 459 z = CMPLXL(30, 0x1p1023L); 460 test_odd_tol(ctanh, z, 461 CMPLXL(1.0, -1.62994325413993477997492170229268382e-26L), 462 DBL_ULP()); 463 z = CMPLXL(1, 0x1p1023L); 464 test_odd_tol(ctanh, z, 465 CMPLXL(0.878606311888306869546254022621986509L, 466 -0.225462792499754505792678258169527424L), 467 DBL_ULP()); 468 469 z = CMPLXL(710.6, 0.78539816339744830961566084581987572L); 470 test_odd_tol(csinh, z, 471 CMPLXL(1.43917579766621073533185387499658944e308L, 472 1.43917579766621073533185387499658944e308L), DBL_ULP()); 473 test_even_tol(ccosh, z, 474 CMPLXL(1.43917579766621073533185387499658944e308L, 475 1.43917579766621073533185387499658944e308L), DBL_ULP()); 476 477 z = CMPLXL(1500, 0.78539816339744830961566084581987572L); 478 testall_odd(csinh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 479 FE_OVERFLOW, CS_BOTH); 480 testall_even(ccosh, z, CMPLXL(INFINITY, INFINITY), OPT_INEXACT, 481 FE_OVERFLOW, CS_BOTH); 482 } 483 484 ATF_TP_ADD_TCS(tp) 485 { 486 487 ATF_TP_ADD_TC(tp, test_zero_input); 488 ATF_TP_ADD_TC(tp, test_nan_inputs); 489 ATF_TP_ADD_TC(tp, test_inf_inputs); 490 ATF_TP_ADD_TC(tp, test_axes); 491 ATF_TP_ADD_TC(tp, test_small_inputs); 492 ATF_TP_ADD_TC(tp, test_large_inputs); 493 494 return (atf_no_error()); 495 } 496