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 * $FreeBSD: src/tools/regression/lib/msun/test-invtrig.c,v 1.3 2010/12/06 00:02:49 das Exp $ 27 */ 28 29 /* 30 * Tests for corner cases in the inverse trigonometric functions. Some 31 * accuracy tests are included as well, but these are very basic 32 * sanity checks, not intended to be comprehensive. 33 */ 34 35 #include <assert.h> 36 #include <fenv.h> 37 #include <float.h> 38 #include <math.h> 39 #include <stdio.h> 40 41 #define ALL_STD_EXCEPT (FE_DIVBYZERO | FE_INEXACT | FE_INVALID | \ 42 FE_OVERFLOW | FE_UNDERFLOW) 43 44 #define LEN(a) (sizeof(a) / sizeof((a)[0])) 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 assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ 60 assert(fpequal(func(_in), _out, (tol))); \ 61 assert((func, fetestexcept(ALL_STD_EXCEPT) == (excepts))); \ 62 } while (0) 63 #define test(func, x, result, excepts) \ 64 test_tol(func, (x), (result), 0, (excepts)) 65 66 #define testall_tol(prefix, x, result, tol, excepts) do { \ 67 test_tol(prefix, (double)(x), (double)(result), \ 68 (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ 69 test_tol(prefix##f, (float)(x), (float)(result), \ 70 (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ 71 test_tol(prefix##l, (x), (result), \ 72 (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ 73 } while (0) 74 #define testall(prefix, x, result, excepts) \ 75 testall_tol(prefix, (x), (result), 0, (excepts)) 76 77 #define test2_tol(func, y, x, result, tol, excepts) do { \ 78 volatile long double _iny = (y), _inx = (x), _out = (result); \ 79 assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ 80 assert(fpequal(func(_iny, _inx), _out, (tol))); \ 81 assert((func, fetestexcept(ALL_STD_EXCEPT) == (excepts))); \ 82 } while (0) 83 #define test2(func, y, x, result, excepts) \ 84 test2_tol(func, (y), (x), (result), 0, (excepts)) 85 86 #define testall2_tol(prefix, y, x, result, tol, excepts) do { \ 87 test2_tol(prefix, (double)(y), (double)(x), (double)(result), \ 88 (tol) * ldexp(1.0, 1 - DBL_MANT_DIG), (excepts)); \ 89 test2_tol(prefix##f, (float)(y), (float)(x), (float)(result), \ 90 (tol) * ldexpf(1.0, 1 - FLT_MANT_DIG), (excepts)); \ 91 test2_tol(prefix##l, (y), (x), (result), \ 92 (tol) * ldexpl(1.0, 1 - LDBL_MANT_DIG), (excepts)); \ 93 } while (0) 94 #define testall2(prefix, y, x, result, excepts) \ 95 testall2_tol(prefix, (y), (x), (result), 0, (excepts)) 96 97 long double 98 pi = 3.14159265358979323846264338327950280e+00L, 99 pio3 = 1.04719755119659774615421446109316766e+00L, 100 c3pi = 9.42477796076937971538793014983850839e+00L, 101 c5pi = 1.57079632679489661923132169163975140e+01L, 102 c7pi = 2.19911485751285526692385036829565196e+01L, 103 c5pio3 = 5.23598775598298873077107230546583851e+00L, 104 sqrt2m1 = 4.14213562373095048801688724209698081e-01L; 105 106 /* 107 * Determine whether x and y are equal to within a relative error of tol, 108 * with two special rules: 109 * +0.0 != -0.0 110 * NaN == NaN 111 */ 112 int 113 fpequal(long double x, long double y, long double tol) 114 { 115 fenv_t env; 116 int ret; 117 118 if (isnan(x) && isnan(y)) 119 return (1); 120 if (!signbit(x) != !signbit(y)) 121 return (0); 122 if (x == y) 123 return (1); 124 if (tol == 0) 125 return (0); 126 127 /* Hard case: need to check the tolerance. */ 128 feholdexcept(&env); 129 ret = fabsl(x - y) <= fabsl(y * tol); 130 fesetenv(&env); 131 return (ret); 132 } 133 134 /* 135 * Test special case inputs in asin(), acos() and atan(): signed 136 * zeroes, infinities, and NaNs. 137 */ 138 static void 139 test_special(void) 140 { 141 142 testall(asin, 0.0, 0.0, 0); 143 testall(acos, 0.0, pi / 2, FE_INEXACT); 144 testall(atan, 0.0, 0.0, 0); 145 testall(asin, -0.0, -0.0, 0); 146 testall(acos, -0.0, pi / 2, FE_INEXACT); 147 testall(atan, -0.0, -0.0, 0); 148 149 testall(asin, INFINITY, NAN, FE_INVALID); 150 testall(acos, INFINITY, NAN, FE_INVALID); 151 testall(atan, INFINITY, pi / 2, FE_INEXACT); 152 testall(asin, -INFINITY, NAN, FE_INVALID); 153 testall(acos, -INFINITY, NAN, FE_INVALID); 154 testall(atan, -INFINITY, -pi / 2, FE_INEXACT); 155 156 testall(asin, NAN, NAN, 0); 157 testall(acos, NAN, NAN, 0); 158 testall(atan, NAN, NAN, 0); 159 } 160 161 /* 162 * Test special case inputs in atan2(), where the exact value of y/x is 163 * zero or non-finite. 164 */ 165 static void 166 test_special_atan2(void) 167 { 168 long double z; 169 int e; 170 171 testall2(atan2, 0.0, -0.0, pi, FE_INEXACT); 172 testall2(atan2, -0.0, -0.0, -pi, FE_INEXACT); 173 testall2(atan2, 0.0, 0.0, 0.0, 0); 174 testall2(atan2, -0.0, 0.0, -0.0, 0); 175 176 testall2(atan2, INFINITY, -INFINITY, c3pi / 4, FE_INEXACT); 177 testall2(atan2, -INFINITY, -INFINITY, -c3pi / 4, FE_INEXACT); 178 testall2(atan2, INFINITY, INFINITY, pi / 4, FE_INEXACT); 179 testall2(atan2, -INFINITY, INFINITY, -pi / 4, FE_INEXACT); 180 181 /* Tests with one input in the range (0, Inf]. */ 182 z = 1.23456789L; 183 for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP; e++) { 184 test2(atan2f, 0.0, ldexpf(z, e), 0.0, 0); 185 test2(atan2f, -0.0, ldexpf(z, e), -0.0, 0); 186 test2(atan2f, 0.0, ldexpf(-z, e), (float)pi, FE_INEXACT); 187 test2(atan2f, -0.0, ldexpf(-z, e), (float)-pi, FE_INEXACT); 188 test2(atan2f, ldexpf(z, e), 0.0, (float)pi / 2, FE_INEXACT); 189 test2(atan2f, ldexpf(z, e), -0.0, (float)pi / 2, FE_INEXACT); 190 test2(atan2f, ldexpf(-z, e), 0.0, (float)-pi / 2, FE_INEXACT); 191 test2(atan2f, ldexpf(-z, e), -0.0, (float)-pi / 2, FE_INEXACT); 192 } 193 for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP; e++) { 194 test2(atan2, 0.0, ldexp(z, e), 0.0, 0); 195 test2(atan2, -0.0, ldexp(z, e), -0.0, 0); 196 test2(atan2, 0.0, ldexp(-z, e), (double)pi, FE_INEXACT); 197 test2(atan2, -0.0, ldexp(-z, e), (double)-pi, FE_INEXACT); 198 test2(atan2, ldexp(z, e), 0.0, (double)pi / 2, FE_INEXACT); 199 test2(atan2, ldexp(z, e), -0.0, (double)pi / 2, FE_INEXACT); 200 test2(atan2, ldexp(-z, e), 0.0, (double)-pi / 2, FE_INEXACT); 201 test2(atan2, ldexp(-z, e), -0.0, (double)-pi / 2, FE_INEXACT); 202 } 203 for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP; e++) { 204 test2(atan2l, 0.0, ldexpl(z, e), 0.0, 0); 205 test2(atan2l, -0.0, ldexpl(z, e), -0.0, 0); 206 test2(atan2l, 0.0, ldexpl(-z, e), pi, FE_INEXACT); 207 test2(atan2l, -0.0, ldexpl(-z, e), -pi, FE_INEXACT); 208 test2(atan2l, ldexpl(z, e), 0.0, pi / 2, FE_INEXACT); 209 test2(atan2l, ldexpl(z, e), -0.0, pi / 2, FE_INEXACT); 210 test2(atan2l, ldexpl(-z, e), 0.0, -pi / 2, FE_INEXACT); 211 test2(atan2l, ldexpl(-z, e), -0.0, -pi / 2, FE_INEXACT); 212 } 213 214 /* Tests with one input in the range (0, Inf). */ 215 for (e = FLT_MIN_EXP - FLT_MANT_DIG; e <= FLT_MAX_EXP - 1; e++) { 216 test2(atan2f, ldexpf(z, e), INFINITY, 0.0, 0); 217 test2(atan2f, ldexpf(-z,e), INFINITY, -0.0, 0); 218 test2(atan2f, ldexpf(z, e), -INFINITY, (float)pi, FE_INEXACT); 219 test2(atan2f, ldexpf(-z,e), -INFINITY, (float)-pi, FE_INEXACT); 220 test2(atan2f, INFINITY, ldexpf(z,e), (float)pi/2, FE_INEXACT); 221 test2(atan2f, INFINITY, ldexpf(-z,e), (float)pi/2, FE_INEXACT); 222 test2(atan2f, -INFINITY, ldexpf(z,e), (float)-pi/2,FE_INEXACT); 223 test2(atan2f, -INFINITY, ldexpf(-z,e),(float)-pi/2,FE_INEXACT); 224 } 225 for (e = DBL_MIN_EXP - DBL_MANT_DIG; e <= DBL_MAX_EXP - 1; e++) { 226 test2(atan2, ldexp(z, e), INFINITY, 0.0, 0); 227 test2(atan2, ldexp(-z,e), INFINITY, -0.0, 0); 228 test2(atan2, ldexp(z, e), -INFINITY, (double)pi, FE_INEXACT); 229 test2(atan2, ldexp(-z,e), -INFINITY, (double)-pi, FE_INEXACT); 230 test2(atan2, INFINITY, ldexp(z,e), (double)pi/2, FE_INEXACT); 231 test2(atan2, INFINITY, ldexp(-z,e), (double)pi/2, FE_INEXACT); 232 test2(atan2, -INFINITY, ldexp(z,e), (double)-pi/2,FE_INEXACT); 233 test2(atan2, -INFINITY, ldexp(-z,e),(double)-pi/2,FE_INEXACT); 234 } 235 for (e = LDBL_MIN_EXP - LDBL_MANT_DIG; e <= LDBL_MAX_EXP - 1; e++) { 236 test2(atan2l, ldexpl(z, e), INFINITY, 0.0, 0); 237 test2(atan2l, ldexpl(-z,e), INFINITY, -0.0, 0); 238 test2(atan2l, ldexpl(z, e), -INFINITY, pi, FE_INEXACT); 239 test2(atan2l, ldexpl(-z,e), -INFINITY, -pi, FE_INEXACT); 240 test2(atan2l, INFINITY, ldexpl(z, e), pi / 2, FE_INEXACT); 241 test2(atan2l, INFINITY, ldexpl(-z, e), pi / 2, FE_INEXACT); 242 test2(atan2l, -INFINITY, ldexpl(z, e), -pi / 2, FE_INEXACT); 243 test2(atan2l, -INFINITY, ldexpl(-z, e), -pi / 2, FE_INEXACT); 244 } 245 } 246 247 /* 248 * Test various inputs to asin(), acos() and atan() and verify that the 249 * results are accurate to within 1 ulp. 250 */ 251 static void 252 test_accuracy(void) 253 { 254 255 /* We expect correctly rounded results for these basic cases. */ 256 testall(asin, 1.0, pi / 2, FE_INEXACT); 257 testall(acos, 1.0, 0, 0); 258 testall(atan, 1.0, pi / 4, FE_INEXACT); 259 testall(asin, -1.0, -pi / 2, FE_INEXACT); 260 testall(acos, -1.0, pi, FE_INEXACT); 261 testall(atan, -1.0, -pi / 4, FE_INEXACT); 262 263 /* 264 * Here we expect answers to be within 1 ulp, although inexactness 265 * in the input, combined with double rounding, could cause larger 266 * errors. 267 */ 268 269 testall_tol(asin, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); 270 testall_tol(acos, sqrtl(2) / 2, pi / 4, 1, FE_INEXACT); 271 testall_tol(asin, -sqrtl(2) / 2, -pi / 4, 1, FE_INEXACT); 272 testall_tol(acos, -sqrtl(2) / 2, c3pi / 4, 1, FE_INEXACT); 273 274 testall_tol(asin, sqrtl(3) / 2, pio3, 1, FE_INEXACT); 275 testall_tol(acos, sqrtl(3) / 2, pio3 / 2, 1, FE_INEXACT); 276 testall_tol(atan, sqrtl(3), pio3, 1, FE_INEXACT); 277 testall_tol(asin, -sqrtl(3) / 2, -pio3, 1, FE_INEXACT); 278 testall_tol(acos, -sqrtl(3) / 2, c5pio3 / 2, 1, FE_INEXACT); 279 testall_tol(atan, -sqrtl(3), -pio3, 1, FE_INEXACT); 280 281 testall_tol(atan, sqrt2m1, pi / 8, 1, FE_INEXACT); 282 testall_tol(atan, -sqrt2m1, -pi / 8, 1, FE_INEXACT); 283 } 284 285 /* 286 * Test inputs to atan2() where x is a power of 2. These are easy cases 287 * because y/x is exact. 288 */ 289 static void 290 test_p2x_atan2(void) 291 { 292 293 testall2(atan2, 1.0, 1.0, pi / 4, FE_INEXACT); 294 testall2(atan2, 1.0, -1.0, c3pi / 4, FE_INEXACT); 295 testall2(atan2, -1.0, 1.0, -pi / 4, FE_INEXACT); 296 testall2(atan2, -1.0, -1.0, -c3pi / 4, FE_INEXACT); 297 298 testall2_tol(atan2, sqrt2m1 * 2, 2.0, pi / 8, 1, FE_INEXACT); 299 testall2_tol(atan2, sqrt2m1 * 2, -2.0, c7pi / 8, 1, FE_INEXACT); 300 testall2_tol(atan2, -sqrt2m1 * 2, 2.0, -pi / 8, 1, FE_INEXACT); 301 testall2_tol(atan2, -sqrt2m1 * 2, -2.0, -c7pi / 8, 1, FE_INEXACT); 302 303 testall2_tol(atan2, sqrtl(3) * 0.5, 0.5, pio3, 1, FE_INEXACT); 304 testall2_tol(atan2, sqrtl(3) * 0.5, -0.5, pio3 * 2, 1, FE_INEXACT); 305 testall2_tol(atan2, -sqrtl(3) * 0.5, 0.5, -pio3, 1, FE_INEXACT); 306 testall2_tol(atan2, -sqrtl(3) * 0.5, -0.5, -pio3 * 2, 1, FE_INEXACT); 307 } 308 309 /* 310 * Test inputs very close to 0. 311 */ 312 static void 313 test_tiny(void) 314 { 315 float tiny = 0x1.23456p-120f; 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 testall(asin, -tiny, -tiny, FE_INEXACT); 322 testall(acos, -tiny, pi / 2, FE_INEXACT); 323 testall(atan, -tiny, -tiny, FE_INEXACT); 324 325 /* Test inputs to atan2() that would cause y/x to 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, -0.0, FE_INEXACT | FE_UNDERFLOW); 331 test2(atan2, -0x1.0p-1000, 0x1.0p1000, -0.0, FE_INEXACT | FE_UNDERFLOW); 332 test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP), 333 ldexpl(1.0, LDBL_MAX_EXP - 100), -0.0, FE_INEXACT | FE_UNDERFLOW); 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 test2(atan2f, -0x1.0p-100, -0x1.0p100, (float)-pi, FE_INEXACT); 339 test2(atan2, -0x1.0p-1000, -0x1.0p1000, (double)-pi, FE_INEXACT); 340 test2(atan2l, -ldexpl(1.0, 100 - LDBL_MAX_EXP), 341 -ldexpl(1.0, LDBL_MAX_EXP - 100), -pi, FE_INEXACT); 342 } 343 344 /* 345 * Test very large inputs to atan(). 346 */ 347 static void 348 test_atan_huge(void) 349 { 350 float huge = 0x1.23456p120; 351 352 testall(atan, huge, pi / 2, FE_INEXACT); 353 testall(atan, -huge, -pi / 2, FE_INEXACT); 354 355 /* Test inputs to atan2() that would cause y/x to overflow. */ 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 test2(atan2f, -0x1.0p100, 0x1.0p-100, (float)-pi / 2, FE_INEXACT); 361 test2(atan2, -0x1.0p1000, 0x1.0p-1000, (double)-pi / 2, FE_INEXACT); 362 test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100), 363 ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT); 364 365 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 test2(atan2f, -0x1.0p100, -0x1.0p-100, (float)-pi / 2, FE_INEXACT); 370 test2(atan2, -0x1.0p1000, -0x1.0p-1000, (double)-pi / 2, FE_INEXACT); 371 test2(atan2l, -ldexpl(1.0, LDBL_MAX_EXP - 100), 372 -ldexpl(1.0, 100 - LDBL_MAX_EXP), -pi / 2, FE_INEXACT); 373 } 374 375 /* 376 * Test that sin(asin(x)) == x, and similarly for acos() and atan(). 377 * You need to have a working sinl(), cosl(), and tanl() for these 378 * tests to pass. 379 */ 380 static long double 381 sinasinf(float x) 382 { 383 384 return (sinl(asinf(x))); 385 } 386 387 static long double 388 sinasin(double x) 389 { 390 391 return (sinl(asin(x))); 392 } 393 394 static long double 395 sinasinl(long double x) 396 { 397 398 return (sinl(asinl(x))); 399 } 400 401 static long double 402 cosacosf(float x) 403 { 404 405 return (cosl(acosf(x))); 406 } 407 408 static long double 409 cosacos(double x) 410 { 411 412 return (cosl(acos(x))); 413 } 414 415 static long double 416 cosacosl(long double x) 417 { 418 419 return (cosl(acosl(x))); 420 } 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 static long double 437 tanatanl(long double x) 438 { 439 440 return (tanl(atanl(x))); 441 } 442 443 static void 444 test_inverse(void) 445 { 446 float i; 447 448 for (i = -1; i <= 1; i += 0x1.0p-12f) { 449 testall_tol(sinasin, i, i, 2, i == 0 ? 0 : FE_INEXACT); 450 /* The relative error for cosacos is very large near x=0. */ 451 if (fabsf(i) > 0x1.0p-4f) 452 testall_tol(cosacos, i, i, 16, i == 1 ? 0 : FE_INEXACT); 453 testall_tol(tanatan, i, i, 2, i == 0 ? 0 : FE_INEXACT); 454 } 455 } 456 457 int 458 main(int argc, char *argv[]) 459 { 460 461 printf("1..7\n"); 462 463 test_special(); 464 printf("ok 1 - special\n"); 465 466 test_special_atan2(); 467 printf("ok 2 - atan2 special\n"); 468 469 test_accuracy(); 470 printf("ok 3 - accuracy\n"); 471 472 test_p2x_atan2(); 473 printf("ok 4 - atan2 p2x\n"); 474 475 test_tiny(); 476 printf("ok 5 - tiny inputs\n"); 477 478 test_atan_huge(); 479 printf("ok 6 - atan huge inputs\n"); 480 481 test_inverse(); 482 printf("ok 7 - inverse\n"); 483 484 return (0); 485 } 486