1 /* $OpenBSD: invtrig_test.c,v 1.1 2021/10/22 18:00:22 mbuhl Exp $ */ 2 /*- 3 * Copyright (c) 2008 David Schultz <das@FreeBSD.org> 4 * All rights reserved. 5 * 6 * Redistribution and use in source and binary forms, with or without 7 * modification, are permitted provided that the following conditions 8 * are met: 9 * 1. Redistributions of source code must retain the above copyright 10 * notice, this list of conditions and the following disclaimer. 11 * 2. Redistributions in binary form must reproduce the above copyright 12 * notice, this list of conditions and the following disclaimer in the 13 * documentation and/or other materials provided with the distribution. 14 * 15 * THIS SOFTWARE IS PROVIDED BY THE AUTHOR AND CONTRIBUTORS ``AS IS'' AND 16 * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE 17 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE 18 * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE 19 * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL 20 * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS 21 * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) 22 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT 23 * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY 24 * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF 25 * SUCH DAMAGE. 26 */ 27 28 #include "macros.h" 29 30 /* 31 * Tests for corner cases in the inverse trigonometric functions. Some 32 * accuracy tests are included as well, but these are very basic 33 * sanity checks, not intended to be comprehensive. 34 */ 35 36 #include <sys/cdefs.h> 37 __FBSDID("$FreeBSD$"); 38 39 #include <fenv.h> 40 #include <float.h> 41 #include <math.h> 42 #include <stdio.h> 43 44 #include "test-utils.h" 45 46 #pragma STDC FENV_ACCESS ON 47 48 /* 49 * Test that a function returns the correct value and sets the 50 * exception flags correctly. A tolerance specifying the maximum 51 * relative error allowed may be specified. For the 'testall' 52 * functions, the tolerance is specified in ulps. 53 * 54 * These are macros instead of functions so that assert provides more 55 * meaningful error messages. 56 */ 57 #define test_tol(func, x, result, tol, excepts) do { \ 58 volatile long double _in = (x), _out = (result); \ 59 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT)); \ 60 CHECK_FPEQUAL_TOL(func(_in), _out, (tol), CS_BOTH); \ 61 CHECK_FP_EXCEPTIONS_MSG(excepts, ALL_STD_EXCEPT, "for %s(%s)", \ 62 #func, #x); \ 63 } while (0) 64 #define test(func, x, result, excepts) \ 65 test_tol(func, (x), (result), 0, (excepts)) 66 67 #define _testall_tol(prefix, x, result, tol, excepts) do { \ 68 test_tol(prefix, (double)(x), (double)(result), \ 69 (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ 70 test_tol(prefix##f, (float)(x), (float)(result), \ 71 (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ 72 } while (0) 73 74 #if LDBL_PREC == 53 75 #define testall_tol _testall_tol 76 #else 77 #define testall_tol(prefix, x, result, tol, excepts) do { \ 78 _testall_tol(prefix, x, result, tol, excepts); \ 79 test_tol(prefix##l, (x), (result), \ 80 (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ 81 } while (0) 82 #endif 83 84 #define testall(prefix, x, result, excepts) \ 85 testall_tol(prefix, (x), (result), 0, (excepts)) 86 87 #define test2_tol(func, y, x, result, tol, excepts) do { \ 88 volatile long double _iny = (y), _inx = (x), _out = (result); \ 89 ATF_REQUIRE_EQ(0, feclearexcept(FE_ALL_EXCEPT)); \ 90 CHECK_FPEQUAL_TOL(func(_iny, _inx), _out, (tol), CS_BOTH); \ 91 CHECK_FP_EXCEPTIONS_MSG(excepts, ALL_STD_EXCEPT, "for %s(%s)", \ 92 #func, #x); \ 93 } while (0) 94 #define test2(func, y, x, result, excepts) \ 95 test2_tol(func, (y), (x), (result), 0, (excepts)) 96 97 #define _testall2_tol(prefix, y, x, result, tol, excepts) do { \ 98 test2_tol(prefix, (double)(y), (double)(x), (double)(result), \ 99 (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ 100 test2_tol(prefix##f, (float)(y), (float)(x), (float)(result), \ 101 (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ 102 } while (0) 103 104 #if LDBL_PREC == 53 105 #define testall2_tol _testall2_tol 106 #else 107 #define testall2_tol(prefix, y, x, result, tol, excepts) do { \ 108 _testall2_tol(prefix, y, x, result, tol, excepts); \ 109 test2_tol(prefix##l, (y), (x), (result), \ 110 (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ 111 } while (0) 112 #endif 113 114 #define testall2(prefix, y, x, result, excepts) \ 115 testall2_tol(prefix, (y), (x), (result), 0, (excepts)) 116 117 static long double 118 pi = 3.14159265358979323846264338327950280e+00L, 119 pio3 = 1.04719755119659774615421446109316766e+00L, 120 c3pi = 9.42477796076937971538793014983850839e+00L, 121 c7pi = 2.19911485751285526692385036829565196e+01L, 122 c5pio3 = 5.23598775598298873077107230546583851e+00L, 123 sqrt2m1 = 4.14213562373095048801688724209698081e-01L; 124 125 126 /* 127 * Test special case inputs in asin(), acos() and atan(): signed 128 * zeroes, infinities, and NaNs. 129 */ 130 ATF_TC_WITHOUT_HEAD(special); 131 ATF_TC_BODY(special, tc) 132 { 133 134 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 testall(asin, -0.0, -0.0, 0); 138 testall(acos, -0.0, pi / 2, FE_INEXACT); 139 testall(atan, -0.0, -0.0, 0); 140 141 testall(asin, INFINITY, NAN, FE_INVALID); 142 testall(acos, INFINITY, NAN, FE_INVALID); 143 testall(atan, INFINITY, pi / 2, FE_INEXACT); 144 testall(asin, -INFINITY, NAN, FE_INVALID); 145 testall(acos, -INFINITY, NAN, FE_INVALID); 146 testall(atan, -INFINITY, -pi / 2, FE_INEXACT); 147 148 testall(asin, NAN, NAN, 0); 149 testall(acos, NAN, NAN, 0); 150 testall(atan, NAN, NAN, 0); 151 } 152 153 /* 154 * Test special case inputs in atan2(), where the exact value of y/x is 155 * zero or non-finite. 156 */ 157 ATF_TC_WITHOUT_HEAD(special_atan2); 158 ATF_TC_BODY(special_atan2, tc) 159 { 160 long double z; 161 int e; 162 163 testall2(atan2, 0.0, -0.0, pi, FE_INEXACT); 164 testall2(atan2, -0.0, -0.0, -pi, FE_INEXACT); 165 testall2(atan2, 0.0, 0.0, 0.0, 0); 166 testall2(atan2, -0.0, 0.0, -0.0, 0); 167 168 testall2(atan2, INFINITY, -INFINITY, c3pi / 4, FE_INEXACT); 169 testall2(atan2, -INFINITY, -INFINITY, -c3pi / 4, FE_INEXACT); 170 testall2(atan2, INFINITY, INFINITY, pi / 4, FE_INEXACT); 171 testall2(atan2, -INFINITY, INFINITY, -pi / 4, FE_INEXACT); 172 173 /* Tests with one input in the range (0, Inf]. */ 174 z = 1.23456789L; 175 for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP; e++) { 176 test2(atan2f, 0.0, ldexpf(z, e), 0.0, 0); 177 test2(atan2f, -0.0, ldexpf(z, e), -0.0, 0); 178 test2(atan2f, 0.0, ldexpf(-z, e), (float)pi, FE_INEXACT); 179 test2(atan2f, -0.0, ldexpf(-z, e), (float)-pi, FE_INEXACT); 180 test2(atan2f, ldexpf(z, e), 0.0, (float)pi / 2, FE_INEXACT); 181 test2(atan2f, ldexpf(z, e), -0.0, (float)pi / 2, FE_INEXACT); 182 test2(atan2f, ldexpf(-z, e), 0.0, (float)-pi / 2, FE_INEXACT); 183 test2(atan2f, ldexpf(-z, e), -0.0, (float)-pi / 2, FE_INEXACT); 184 } 185 for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP; e++) { 186 test2(atan2, 0.0, ldexp(z, e), 0.0, 0); 187 test2(atan2, -0.0, ldexp(z, e), -0.0, 0); 188 test2(atan2, 0.0, ldexp(-z, e), (double)pi, FE_INEXACT); 189 test2(atan2, -0.0, ldexp(-z, e), (double)-pi, FE_INEXACT); 190 test2(atan2, ldexp(z, e), 0.0, (double)pi / 2, FE_INEXACT); 191 test2(atan2, ldexp(z, e), -0.0, (double)pi / 2, FE_INEXACT); 192 test2(atan2, ldexp(-z, e), 0.0, (double)-pi / 2, FE_INEXACT); 193 test2(atan2, ldexp(-z, e), -0.0, (double)-pi / 2, FE_INEXACT); 194 } 195 for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP; e++) { 196 test2(atan2l, 0.0, ldexpl(z, e), 0.0, 0); 197 test2(atan2l, -0.0, ldexpl(z, e), -0.0, 0); 198 test2(atan2l, 0.0, ldexpl(-z, e), pi, FE_INEXACT); 199 test2(atan2l, -0.0, ldexpl(-z, e), -pi, FE_INEXACT); 200 test2(atan2l, ldexpl(z, e), 0.0, pi / 2, FE_INEXACT); 201 test2(atan2l, ldexpl(z, e), -0.0, pi / 2, FE_INEXACT); 202 test2(atan2l, ldexpl(-z, e), 0.0, -pi / 2, FE_INEXACT); 203 test2(atan2l, ldexpl(-z, e), -0.0, -pi / 2, FE_INEXACT); 204 } 205 206 /* Tests with one input in the range (0, Inf). */ 207 for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP - 1; e++) { 208 test2(atan2f, ldexpf(z, e), INFINITY, 0.0, 0); 209 test2(atan2f, ldexpf(-z,e), INFINITY, -0.0, 0); 210 test2(atan2f, ldexpf(z, e), -INFINITY, (float)pi, FE_INEXACT); 211 test2(atan2f, ldexpf(-z,e), -INFINITY, (float)-pi, FE_INEXACT); 212 test2(atan2f, INFINITY, ldexpf(z,e), (float)pi/2, FE_INEXACT); 213 test2(atan2f, INFINITY, ldexpf(-z,e), (float)pi/2, FE_INEXACT); 214 test2(atan2f, -INFINITY, ldexpf(z,e), (float)-pi/2,FE_INEXACT); 215 test2(atan2f, -INFINITY, ldexpf(-z,e),(float)-pi/2,FE_INEXACT); 216 } 217 for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP - 1; e++) { 218 test2(atan2, ldexp(z, e), INFINITY, 0.0, 0); 219 test2(atan2, ldexp(-z,e), INFINITY, -0.0, 0); 220 test2(atan2, ldexp(z, e), -INFINITY, (double)pi, FE_INEXACT); 221 test2(atan2, ldexp(-z,e), -INFINITY, (double)-pi, FE_INEXACT); 222 test2(atan2, INFINITY, ldexp(z,e), (double)pi/2, FE_INEXACT); 223 test2(atan2, INFINITY, ldexp(-z,e), (double)pi/2, FE_INEXACT); 224 test2(atan2, -INFINITY, ldexp(z,e), (double)-pi/2,FE_INEXACT); 225 test2(atan2, -INFINITY, ldexp(-z,e),(double)-pi/2,FE_INEXACT); 226 } 227 for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP - 1; e++) { 228 test2(atan2l, ldexpl(z, e), INFINITY, 0.0, 0); 229 test2(atan2l, ldexpl(-z,e), INFINITY, -0.0, 0); 230 test2(atan2l, ldexpl(z, e), -INFINITY, pi, FE_INEXACT); 231 test2(atan2l, ldexpl(-z,e), -INFINITY, -pi, FE_INEXACT); 232 test2(atan2l, INFINITY, ldexpl(z, e), pi / 2, FE_INEXACT); 233 test2(atan2l, INFINITY, ldexpl(-z, e), pi / 2, FE_INEXACT); 234 test2(atan2l, -INFINITY, ldexpl(z, e), -pi / 2, FE_INEXACT); 235 test2(atan2l, -INFINITY, ldexpl(-z, e), -pi / 2, FE_INEXACT); 236 } 237 } 238 239 /* 240 * Test various inputs to asin(), acos() and atan() and verify that the 241 * results are accurate to within 1 ulp. 242 */ 243 ATF_TC_WITHOUT_HEAD(accuracy); 244 ATF_TC_BODY(accuracy, tc) 245 { 246 247 /* We expect correctly rounded results for these basic cases. */ 248 testall(asin, 1.0, pi / 2, FE_INEXACT); 249 testall(acos, 1.0, 0, 0); 250 testall(atan, 1.0, pi / 4, FE_INEXACT); 251 testall(asin, -1.0, -pi / 2, FE_INEXACT); 252 testall(acos, -1.0, pi, FE_INEXACT); 253 testall(atan, -1.0, -pi / 4, FE_INEXACT); 254 255 /* 256 * Here we expect answers to be within 1 ulp, although inexactness 257 * in the input, combined with double rounding, could cause larger 258 * errors. 259 */ 260 261 testall_tol(asin, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); 262 testall_tol(acos, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); 263 testall_tol(asin, -sqrtl(2) / 2, -pi / 4, 1, FE_INEXACT); 264 testall_tol(acos, -sqrtl(2) / 2, c3pi / 4, 1, FE_INEXACT); 265 266 testall_tol(asin, sqrtl(3) / 2, pio3, 1, FE_INEXACT); 267 testall_tol(acos, sqrtl(3) / 2, pio3 / 2, 1, FE_INEXACT); 268 testall_tol(atan, sqrtl(3), pio3, 1, FE_INEXACT); 269 testall_tol(asin, -sqrtl(3) / 2, -pio3, 1, FE_INEXACT); 270 testall_tol(acos, -sqrtl(3) / 2, c5pio3 / 2, 1, FE_INEXACT); 271 testall_tol(atan, -sqrtl(3), -pio3, 1, FE_INEXACT); 272 273 testall_tol(atan, sqrt2m1, pi / 8, 1, FE_INEXACT); 274 testall_tol(atan, -sqrt2m1, -pi / 8, 1, FE_INEXACT); 275 } 276 277 /* 278 * Test inputs to atan2() where x is a power of 2. These are easy cases 279 * because y/x is exact. 280 */ 281 ATF_TC_WITHOUT_HEAD(p2x_atan2); 282 ATF_TC_BODY(p2x_atan2, tc) 283 { 284 285 testall2(atan2, 1.0, 1.0, pi / 4, FE_INEXACT); 286 testall2(atan2, 1.0, -1.0, c3pi / 4, FE_INEXACT); 287 testall2(atan2, -1.0, 1.0, -pi / 4, FE_INEXACT); 288 testall2(atan2, -1.0, -1.0, -c3pi / 4, FE_INEXACT); 289 290 testall2_tol(atan2, sqrt2m1 * 2, 2.0, pi / 8, 1, FE_INEXACT); 291 testall2_tol(atan2, sqrt2m1 * 2, -2.0, c7pi / 8, 1, FE_INEXACT); 292 testall2_tol(atan2, -sqrt2m1 * 2, 2.0, -pi / 8, 1, FE_INEXACT); 293 testall2_tol(atan2, -sqrt2m1 * 2, -2.0, -c7pi / 8, 1, FE_INEXACT); 294 295 testall2_tol(atan2, sqrtl(3) * 0.5, 0.5, pio3, 1, FE_INEXACT); 296 testall2_tol(atan2, sqrtl(3) * 0.5, -0.5, pio3 * 2, 1, FE_INEXACT); 297 testall2_tol(atan2, -sqrtl(3) * 0.5, 0.5, -pio3, 1, FE_INEXACT); 298 testall2_tol(atan2, -sqrtl(3) * 0.5, -0.5, -pio3 * 2, 1, FE_INEXACT); 299 } 300 301 /* 302 * Test inputs very close to 0. 303 */ 304 ATF_TC_WITHOUT_HEAD(tiny); 305 ATF_TC_BODY(tiny, tc) 306 { 307 float tiny = 0x1.23456p-120f; 308 309 testall(asin, tiny, tiny, FE_INEXACT); 310 testall(acos, tiny, pi / 2, FE_INEXACT); 311 testall(atan, tiny, tiny, FE_INEXACT); 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 /* Test inputs to atan2() that would cause y/x to underflow. */ 318 test2(atan2f, 0x1.0p-100, 0x1.0p100, 0.0, FE_INEXACT | FE_UNDERFLOW); 319 test2(atan2, 0x1.0p-1000, 0x1.0p1000, 0.0, FE_INEXACT | FE_UNDERFLOW); 320 test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP), 321 ldexpl(1.0, LDBL_MAX_EXP - 100), 0.0, FE_INEXACT | FE_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, (float)pi, FE_INEXACT); 327 test2(atan2, 0x1.0p-1000, -0x1.0p1000, (double)pi, FE_INEXACT); 328 test2(atan2l, ldexpl(1.0, 100 - LDBL_MAX_EXP), 329 -ldexpl(1.0, LDBL_MAX_EXP - 100), pi, FE_INEXACT); 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 } 335 336 /* 337 * Test very large inputs to atan(). 338 */ 339 ATF_TC_WITHOUT_HEAD(atan_huge); 340 ATF_TC_BODY(atan_huge, tc) 341 { 342 float huge = 0x1.23456p120; 343 344 testall(atan, huge, pi / 2, FE_INEXACT); 345 testall(atan, -huge, -pi / 2, FE_INEXACT); 346 347 /* Test inputs to atan2() that would cause y/x to overflow. */ 348 test2(atan2f, 0x1.0p100, 0x1.0p-100, (float)pi / 2, FE_INEXACT); 349 test2(atan2, 0x1.0p1000, 0x1.0p-1000, (double)pi / 2, FE_INEXACT); 350 test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100), 351 ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT); 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); 356 357 test2(atan2f, 0x1.0p100, -0x1.0p-100, (float)pi / 2, FE_INEXACT); 358 test2(atan2, 0x1.0p1000, -0x1.0p-1000, (double)pi / 2, FE_INEXACT); 359 test2(atan2l, ldexpl(1.0, LDBL_MAX_EXP - 100), 360 -ldexpl(1.0, 100 - LDBL_MAX_EXP), pi / 2, FE_INEXACT); 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 } 366 367 /* 368 * Test that sin(asin(x)) == x, and similarly for acos() and atan(). 369 * You need to have a working sinl(), cosl(), and tanl() for these 370 * tests to pass. 371 */ 372 static long double 373 sinasinf(float x) 374 { 375 376 return (sinl(asinf(x))); 377 } 378 379 static long double 380 sinasin(double x) 381 { 382 383 return (sinl(asin(x))); 384 } 385 386 static long double 387 sinasinl(long double x) 388 { 389 390 return (sinl(asinl(x))); 391 } 392 393 static long double 394 cosacosf(float x) 395 { 396 397 return (cosl(acosf(x))); 398 } 399 400 static long double 401 cosacos(double x) 402 { 403 404 return (cosl(acos(x))); 405 } 406 407 static long double 408 cosacosl(long double x) 409 { 410 411 return (cosl(acosl(x))); 412 } 413 414 static long double 415 tanatanf(float x) 416 { 417 418 return (tanl(atanf(x))); 419 } 420 421 static long double 422 tanatan(double x) 423 { 424 425 return (tanl(atan(x))); 426 } 427 428 static long double 429 tanatanl(long double x) 430 { 431 432 return (tanl(atanl(x))); 433 } 434 435 ATF_TC_WITHOUT_HEAD(inverse); 436 ATF_TC_BODY(inverse, tc) 437 { 438 float i; 439 440 for (i = -1; i <= 1; i += 0x1.0p-12f) { 441 testall_tol(sinasin, i, i, 2, i == 0 ? 0 : FE_INEXACT); 442 /* The relative error for cosacos is very large near x=0. */ 443 if (fabsf(i) > 0x1.0p-4f) 444 testall_tol(cosacos, i, i, 16, i == 1 ? 0 : FE_INEXACT); 445 testall_tol(tanatan, i, i, 2, i == 0 ? 0 : FE_INEXACT); 446 } 447 } 448 449 ATF_TP_ADD_TCS(tp) 450 { 451 ATF_TP_ADD_TC(tp, special); 452 ATF_TP_ADD_TC(tp, special_atan2); 453 ATF_TP_ADD_TC(tp, accuracy); 454 ATF_TP_ADD_TC(tp, p2x_atan2); 455 ATF_TP_ADD_TC(tp, tiny); 456 ATF_TP_ADD_TC(tp, atan_huge); 457 ATF_TP_ADD_TC(tp, inverse); 458 459 return (atf_no_error()); 460 } 461