1 /*- 2 * Copyright (c) 2008 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 corner cases in the inverse trigonometric functions. Some 29 * accuracy tests are included as well, but these are very basic 30 * sanity checks, not intended to be comprehensive. 31 */ 32 33 #include <sys/cdefs.h> 34 #include <fenv.h> 35 #include <float.h> 36 #include <math.h> 37 #include <stdio.h> 38 39 #include "test-utils.h" 40 41 #pragma STDC FENV_ACCESS ON 42 43 /* 44 * Test that a function returns the correct value and sets the 45 * exception flags correctly. A tolerance specifying the maximum 46 * relative error allowed may be specified. For the 'testall' 47 * functions, the tolerance is specified in ulps. 48 * 49 * These are macros instead of functions so that assert provides more 50 * meaningful error messages. 51 */ 52 #define test_tol(func, x, result, tol, excepts) do { \ 53 volatile long double _in = (x), _out = (result); \ 54 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT)); \ 55 REQUIRE_FPEQUAL_TOL(func(_in), _out, (tol), CS_BOTH); \ 56 REQUIRE_FP_EXCEPTIONS_MSG(excepts, ALL_STD_EXCEPT, "for %s(%s)", \ 57 #func, #x); \ 58 } while (0) 59 #define test(func, x, result, excepts) \ 60 test_tol(func, (x), (result), 0, (excepts)) 61 62 #define _testall_tol(prefix, x, result, tol, excepts) do { \ 63 test_tol(prefix, (double)(x), (double)(result), \ 64 (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ 65 test_tol(prefix##f, (float)(x), (float)(result), \ 66 (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ 67 } while (0) 68 69 #ifdef __i386__ 70 #define testall_tol _testall_tol 71 #else 72 #define testall_tol(prefix, x, result, tol, excepts) do { \ 73 _testall_tol(prefix, x, result, tol, excepts); \ 74 test_tol(prefix##l, (x), (result), \ 75 (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ 76 } while (0) 77 #endif 78 79 #define testall(prefix, x, result, excepts) \ 80 testall_tol(prefix, (x), (result), 0, (excepts)) 81 82 #define test2_tol(func, y, x, result, tol, excepts) do { \ 83 volatile long double _iny = (y), _inx = (x), _out = (result); \ 84 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT)); \ 85 REQUIRE_FPEQUAL_TOL(func(_iny, _inx), _out, (tol), CS_BOTH); \ 86 REQUIRE_FP_EXCEPTIONS_MSG(excepts, ALL_STD_EXCEPT, "for %s(%s)", \ 87 #func, #x); \ 88 } while (0) 89 #define test2(func, y, x, result, excepts) \ 90 test2_tol(func, (y), (x), (result), 0, (excepts)) 91 92 #define _testall2_tol(prefix, y, x, result, tol, excepts) do { \ 93 test2_tol(prefix, (double)(y), (double)(x), (double)(result), \ 94 (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ 95 test2_tol(prefix##f, (float)(y), (float)(x), (float)(result), \ 96 (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ 97 } while (0) 98 99 #ifdef __i386__ 100 #define testall2_tol _testall2_tol 101 #else 102 #define testall2_tol(prefix, y, x, result, tol, excepts) do { \ 103 _testall2_tol(prefix, y, x, result, tol, excepts); \ 104 test2_tol(prefix##l, (y), (x), (result), \ 105 (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ 106 } while (0) 107 #endif 108 109 #define testall2(prefix, y, x, result, excepts) \ 110 testall2_tol(prefix, (y), (x), (result), 0, (excepts)) 111 112 static long double 113 pi = 3.14159265358979323846264338327950280e+00L, 114 pio3 = 1.04719755119659774615421446109316766e+00L, 115 c3pi = 9.42477796076937971538793014983850839e+00L, 116 c7pi = 2.19911485751285526692385036829565196e+01L, 117 c5pio3 = 5.23598775598298873077107230546583851e+00L, 118 sqrt2m1 = 4.14213562373095048801688724209698081e-01L; 119 120 121 /* 122 * Test special case inputs in asin(), acos() and atan(): signed 123 * zeroes, infinities, and NaNs. 124 */ 125 ATF_TC_WITHOUT_HEAD(special); 126 ATF_TC_BODY(special, tc) 127 { 128 #if defined(__aarch64__) || defined(__riscv) 129 atf_tc_expect_fail("https://bugs.freebsd.org/283017"); 130 #endif 131 testall(asin, 0.0, 0.0, 0); 132 testall(acos, 0.0, pi / 2, FE_INEXACT); 133 testall(atan, 0.0, 0.0, 0); 134 testall(asin, -0.0, -0.0, 0); 135 testall(acos, -0.0, pi / 2, FE_INEXACT); 136 testall(atan, -0.0, -0.0, 0); 137 138 testall(asin, INFINITY, NAN, FE_INVALID); 139 testall(acos, INFINITY, NAN, FE_INVALID); 140 testall(atan, INFINITY, pi / 2, FE_INEXACT); 141 testall(asin, -INFINITY, NAN, FE_INVALID); 142 testall(acos, -INFINITY, NAN, FE_INVALID); 143 testall(atan, -INFINITY, -pi / 2, FE_INEXACT); 144 145 testall(asin, NAN, NAN, 0); 146 testall(acos, NAN, NAN, 0); 147 testall(atan, NAN, NAN, 0); 148 } 149 150 /* 151 * Test special case inputs in atan2(), where the exact value of y/x is 152 * zero or non-finite. 153 */ 154 ATF_TC_WITHOUT_HEAD(special_atan2); 155 ATF_TC_BODY(special_atan2, tc) 156 { 157 long double z; 158 int e; 159 160 testall2(atan2, 0.0, -0.0, pi, FE_INEXACT); 161 testall2(atan2, -0.0, -0.0, -pi, FE_INEXACT); 162 testall2(atan2, 0.0, 0.0, 0.0, 0); 163 testall2(atan2, -0.0, 0.0, -0.0, 0); 164 165 testall2(atan2, INFINITY, -INFINITY, c3pi / 4, FE_INEXACT); 166 testall2(atan2, -INFINITY, -INFINITY, -c3pi / 4, FE_INEXACT); 167 testall2(atan2, INFINITY, INFINITY, pi / 4, FE_INEXACT); 168 testall2(atan2, -INFINITY, INFINITY, -pi / 4, FE_INEXACT); 169 170 /* Tests with one input in the range (0, Inf]. */ 171 z = 1.23456789L; 172 for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP; e++) { 173 test2(atan2f, 0.0, ldexpf(z, e), 0.0, 0); 174 test2(atan2f, -0.0, ldexpf(z, e), -0.0, 0); 175 test2(atan2f, 0.0, ldexpf(-z, e), (float)pi, FE_INEXACT); 176 test2(atan2f, -0.0, ldexpf(-z, e), (float)-pi, FE_INEXACT); 177 test2(atan2f, ldexpf(z, e), 0.0, (float)pi / 2, FE_INEXACT); 178 test2(atan2f, ldexpf(z, e), -0.0, (float)pi / 2, FE_INEXACT); 179 test2(atan2f, ldexpf(-z, e), 0.0, (float)-pi / 2, FE_INEXACT); 180 test2(atan2f, ldexpf(-z, e), -0.0, (float)-pi / 2, FE_INEXACT); 181 } 182 for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP; e++) { 183 test2(atan2, 0.0, ldexp(z, e), 0.0, 0); 184 test2(atan2, -0.0, ldexp(z, e), -0.0, 0); 185 test2(atan2, 0.0, ldexp(-z, e), (double)pi, FE_INEXACT); 186 test2(atan2, -0.0, ldexp(-z, e), (double)-pi, FE_INEXACT); 187 test2(atan2, ldexp(z, e), 0.0, (double)pi / 2, FE_INEXACT); 188 test2(atan2, ldexp(z, e), -0.0, (double)pi / 2, FE_INEXACT); 189 test2(atan2, ldexp(-z, e), 0.0, (double)-pi / 2, FE_INEXACT); 190 test2(atan2, ldexp(-z, e), -0.0, (double)-pi / 2, FE_INEXACT); 191 } 192 for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP; e++) { 193 test2(atan2l, 0.0, ldexpl(z, e), 0.0, 0); 194 test2(atan2l, -0.0, ldexpl(z, e), -0.0, 0); 195 test2(atan2l, 0.0, ldexpl(-z, e), pi, FE_INEXACT); 196 test2(atan2l, -0.0, ldexpl(-z, e), -pi, FE_INEXACT); 197 test2(atan2l, ldexpl(z, e), 0.0, pi / 2, FE_INEXACT); 198 test2(atan2l, ldexpl(z, e), -0.0, pi / 2, FE_INEXACT); 199 test2(atan2l, ldexpl(-z, e), 0.0, -pi / 2, FE_INEXACT); 200 test2(atan2l, ldexpl(-z, e), -0.0, -pi / 2, FE_INEXACT); 201 } 202 203 /* Tests with one input in the range (0, Inf). */ 204 for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP - 1; e++) { 205 test2(atan2f, ldexpf(z, e), INFINITY, 0.0, 0); 206 test2(atan2f, ldexpf(-z,e), INFINITY, -0.0, 0); 207 test2(atan2f, ldexpf(z, e), -INFINITY, (float)pi, FE_INEXACT); 208 test2(atan2f, ldexpf(-z,e), -INFINITY, (float)-pi, FE_INEXACT); 209 test2(atan2f, INFINITY, ldexpf(z,e), (float)pi/2, FE_INEXACT); 210 test2(atan2f, INFINITY, ldexpf(-z,e), (float)pi/2, FE_INEXACT); 211 test2(atan2f, -INFINITY, ldexpf(z,e), (float)-pi/2,FE_INEXACT); 212 test2(atan2f, -INFINITY, ldexpf(-z,e),(float)-pi/2,FE_INEXACT); 213 } 214 for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP - 1; e++) { 215 test2(atan2, ldexp(z, e), INFINITY, 0.0, 0); 216 test2(atan2, ldexp(-z,e), INFINITY, -0.0, 0); 217 test2(atan2, ldexp(z, e), -INFINITY, (double)pi, FE_INEXACT); 218 test2(atan2, ldexp(-z,e), -INFINITY, (double)-pi, FE_INEXACT); 219 test2(atan2, INFINITY, ldexp(z,e), (double)pi/2, FE_INEXACT); 220 test2(atan2, INFINITY, ldexp(-z,e), (double)pi/2, FE_INEXACT); 221 test2(atan2, -INFINITY, ldexp(z,e), (double)-pi/2,FE_INEXACT); 222 test2(atan2, -INFINITY, ldexp(-z,e),(double)-pi/2,FE_INEXACT); 223 } 224 for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP - 1; e++) { 225 test2(atan2l, ldexpl(z, e), INFINITY, 0.0, 0); 226 test2(atan2l, ldexpl(-z,e), INFINITY, -0.0, 0); 227 test2(atan2l, ldexpl(z, e), -INFINITY, pi, FE_INEXACT); 228 test2(atan2l, ldexpl(-z,e), -INFINITY, -pi, FE_INEXACT); 229 test2(atan2l, INFINITY, ldexpl(z, e), pi / 2, FE_INEXACT); 230 test2(atan2l, INFINITY, ldexpl(-z, e), pi / 2, FE_INEXACT); 231 test2(atan2l, -INFINITY, ldexpl(z, e), -pi / 2, FE_INEXACT); 232 test2(atan2l, -INFINITY, ldexpl(-z, e), -pi / 2, FE_INEXACT); 233 } 234 } 235 236 /* 237 * Test various inputs to asin(), acos() and atan() and verify that the 238 * results are accurate to within 1 ulp. 239 */ 240 ATF_TC_WITHOUT_HEAD(accuracy); 241 ATF_TC_BODY(accuracy, tc) 242 { 243 #if defined(__riscv) 244 atf_tc_expect_fail("https://bugs.freebsd.org/290099"); 245 #endif 246 /* We expect correctly rounded results for these basic cases. */ 247 testall(asin, 1.0, pi / 2, FE_INEXACT); 248 testall(acos, 1.0, 0, 0); 249 testall(atan, 1.0, pi / 4, FE_INEXACT); 250 testall(asin, -1.0, -pi / 2, FE_INEXACT); 251 testall(acos, -1.0, pi, FE_INEXACT); 252 testall(atan, -1.0, -pi / 4, FE_INEXACT); 253 254 /* 255 * Here we expect answers to be within 1 ulp, although inexactness 256 * in the input, combined with double rounding, could cause larger 257 * errors. 258 */ 259 260 testall_tol(asin, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); 261 testall_tol(acos, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); 262 testall_tol(asin, -sqrtl(2) / 2, -pi / 4, 1, FE_INEXACT); 263 testall_tol(acos, -sqrtl(2) / 2, c3pi / 4, 1, FE_INEXACT); 264 265 testall_tol(asin, sqrtl(3) / 2, pio3, 1, FE_INEXACT); 266 testall_tol(acos, sqrtl(3) / 2, pio3 / 2, 1, FE_INEXACT); 267 testall_tol(atan, sqrtl(3), pio3, 1, FE_INEXACT); 268 testall_tol(asin, -sqrtl(3) / 2, -pio3, 1, FE_INEXACT); 269 testall_tol(acos, -sqrtl(3) / 2, c5pio3 / 2, 1, FE_INEXACT); 270 testall_tol(atan, -sqrtl(3), -pio3, 1, FE_INEXACT); 271 272 testall_tol(atan, sqrt2m1, pi / 8, 1, FE_INEXACT); 273 testall_tol(atan, -sqrt2m1, -pi / 8, 1, FE_INEXACT); 274 } 275 276 /* 277 * Test inputs to atan2() where x is a power of 2. These are easy cases 278 * because y/x is exact. 279 */ 280 ATF_TC_WITHOUT_HEAD(p2x_atan2); 281 ATF_TC_BODY(p2x_atan2, tc) 282 { 283 #if defined(__riscv) 284 atf_tc_expect_fail("https://bugs.freebsd.org/290099"); 285 #endif 286 testall2(atan2, 1.0, 1.0, pi / 4, FE_INEXACT); 287 testall2(atan2, 1.0, -1.0, c3pi / 4, FE_INEXACT); 288 testall2(atan2, -1.0, 1.0, -pi / 4, FE_INEXACT); 289 testall2(atan2, -1.0, -1.0, -c3pi / 4, FE_INEXACT); 290 291 testall2_tol(atan2, sqrt2m1 * 2, 2.0, pi / 8, 1, FE_INEXACT); 292 testall2_tol(atan2, sqrt2m1 * 2, -2.0, c7pi / 8, 1, FE_INEXACT); 293 testall2_tol(atan2, -sqrt2m1 * 2, 2.0, -pi / 8, 1, FE_INEXACT); 294 testall2_tol(atan2, -sqrt2m1 * 2, -2.0, -c7pi / 8, 1, FE_INEXACT); 295 296 testall2_tol(atan2, sqrtl(3) * 0.5, 0.5, pio3, 1, FE_INEXACT); 297 testall2_tol(atan2, sqrtl(3) * 0.5, -0.5, pio3 * 2, 1, FE_INEXACT); 298 testall2_tol(atan2, -sqrtl(3) * 0.5, 0.5, -pio3, 1, FE_INEXACT); 299 testall2_tol(atan2, -sqrtl(3) * 0.5, -0.5, -pio3 * 2, 1, FE_INEXACT); 300 } 301 302 /* 303 * Test inputs very close to 0. 304 */ 305 ATF_TC_WITHOUT_HEAD(tiny); 306 ATF_TC_BODY(tiny, tc) 307 { 308 #if defined(__aarch64__) || defined(__riscv) 309 atf_tc_expect_fail("https://bugs.freebsd.org/283017"); 310 #endif 311 float tiny = 0x1.23456p-120f; 312 313 testall(asin, tiny, tiny, FE_INEXACT); 314 testall(acos, tiny, pi / 2, FE_INEXACT); 315 testall(atan, tiny, tiny, FE_INEXACT); 316 317 testall(asin, -tiny, -tiny, FE_INEXACT); 318 testall(acos, -tiny, pi / 2, FE_INEXACT); 319 testall(atan, -tiny, -tiny, FE_INEXACT); 320 321 /* Test inputs to atan2() that would cause y/x to underflow. */ 322 test2(atan2f, 0x1.0p-100, 0x1.0p100, 0.0, FE_INEXACT | FE_UNDERFLOW); 323 test2(atan2, 0x1.0p-1000, 0x1.0p1000, 0.0, FE_INEXACT | FE_UNDERFLOW); 324 test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP), 325 ldexpl(1.0, LDBL_MAX_EXP - 100), 0.0, FE_INEXACT | FE_UNDERFLOW); 326 test2(atan2f, -0x1.0p-100, 0x1.0p100, -0.0, FE_INEXACT | FE_UNDERFLOW); 327 test2(atan2, -0x1.0p-1000, 0x1.0p1000, -0.0, FE_INEXACT | FE_UNDERFLOW); 328 test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP), 329 ldexpl(1.0, LDBL_MAX_EXP - 100), -0.0, FE_INEXACT | FE_UNDERFLOW); 330 test2(atan2f, 0x1.0p-100, -0x1.0p100, (float)pi, FE_INEXACT); 331 test2(atan2, 0x1.0p-1000, -0x1.0p1000, (double)pi, FE_INEXACT); 332 test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP), 333 -ldexpl(1.0, LDBL_MAX_EXP - 100), pi, FE_INEXACT); 334 test2(atan2f, -0x1.0p-100, -0x1.0p100, (float)-pi, FE_INEXACT); 335 test2(atan2, -0x1.0p-1000, -0x1.0p1000, (double)-pi, FE_INEXACT); 336 test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP), 337 -ldexpl(1.0, LDBL_MAX_EXP - 100), -pi, FE_INEXACT); 338 } 339 340 /* 341 * Test very large inputs to atan(). 342 */ 343 ATF_TC_WITHOUT_HEAD(atan_huge); 344 ATF_TC_BODY(atan_huge, tc) 345 { 346 float huge = 0x1.23456p120; 347 348 testall(atan, huge, pi / 2, FE_INEXACT); 349 testall(atan, -huge, -pi / 2, FE_INEXACT); 350 351 /* Test inputs to atan2() that would cause y/x to overflow. */ 352 test2(atan2f, 0x1.0p100, 0x1.0p-100, (float)pi / 2, FE_INEXACT); 353 test2(atan2, 0x1.0p1000, 0x1.0p-1000, (double)pi / 2, FE_INEXACT); 354 test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100), 355 ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT); 356 test2(atan2f, -0x1.0p100, 0x1.0p-100, (float)-pi / 2, FE_INEXACT); 357 test2(atan2, -0x1.0p1000, 0x1.0p-1000, (double)-pi / 2, FE_INEXACT); 358 test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100), 359 ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT); 360 361 test2(atan2f, 0x1.0p100, -0x1.0p-100, (float)pi / 2, FE_INEXACT); 362 test2(atan2, 0x1.0p1000, -0x1.0p-1000, (double)pi / 2, FE_INEXACT); 363 test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100), 364 -ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT); 365 test2(atan2f, -0x1.0p100, -0x1.0p-100, (float)-pi / 2, FE_INEXACT); 366 test2(atan2, -0x1.0p1000, -0x1.0p-1000, (double)-pi / 2, FE_INEXACT); 367 test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100), 368 -ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT); 369 } 370 371 /* 372 * Test that sin(asin(x)) == x, and similarly for acos() and atan(). 373 * You need to have a working sinl(), cosl(), and tanl() for these 374 * tests to pass. 375 */ 376 static long double 377 sinasinf(float x) 378 { 379 380 return (sinl(asinf(x))); 381 } 382 383 static long double 384 sinasin(double x) 385 { 386 387 return (sinl(asin(x))); 388 } 389 390 #ifndef __i386__ 391 static long double 392 sinasinl(long double x) 393 { 394 395 return (sinl(asinl(x))); 396 } 397 #endif 398 399 static long double 400 cosacosf(float x) 401 { 402 403 return (cosl(acosf(x))); 404 } 405 406 static long double 407 cosacos(double x) 408 { 409 410 return (cosl(acos(x))); 411 } 412 413 #ifndef __i386__ 414 static long double 415 cosacosl(long double x) 416 { 417 418 return (cosl(acosl(x))); 419 } 420 #endif 421 422 static long double 423 tanatanf(float x) 424 { 425 426 return (tanl(atanf(x))); 427 } 428 429 static long double 430 tanatan(double x) 431 { 432 433 return (tanl(atan(x))); 434 } 435 436 #ifndef __i386__ 437 static long double 438 tanatanl(long double x) 439 { 440 441 return (tanl(atanl(x))); 442 } 443 #endif 444 445 ATF_TC_WITHOUT_HEAD(inverse); 446 ATF_TC_BODY(inverse, tc) 447 { 448 #if defined(__riscv) 449 atf_tc_expect_death("https://bugs.freebsd.org/290099"); 450 #endif 451 float i; 452 453 for (i = -1; i <= 1; i += 0x1.0p-12f) { 454 testall_tol(sinasin, i, i, 2, i == 0 ? 0 : FE_INEXACT); 455 /* The relative error for cosacos is very large near x=0. */ 456 if (fabsf(i) > 0x1.0p-4f) 457 testall_tol(cosacos, i, i, 16, i == 1 ? 0 : FE_INEXACT); 458 testall_tol(tanatan, i, i, 2, i == 0 ? 0 : FE_INEXACT); 459 } 460 } 461 462 ATF_TP_ADD_TCS(tp) 463 { 464 ATF_TP_ADD_TC(tp, special); 465 ATF_TP_ADD_TC(tp, special_atan2); 466 ATF_TP_ADD_TC(tp, accuracy); 467 ATF_TP_ADD_TC(tp, p2x_atan2); 468 ATF_TP_ADD_TC(tp, tiny); 469 ATF_TP_ADD_TC(tp, atan_huge); 470 ATF_TP_ADD_TC(tp, inverse); 471 472 return (atf_no_error()); 473 } 474