fma_test.c revision 292492
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 fma{,f,l}(). 29 */ 30 31#include <sys/cdefs.h> 32__FBSDID("$FreeBSD: head/tools/regression/lib/msun/test-fma.c 292492 2015-12-20 04:28:37Z ngie $"); 33 34#include <sys/param.h> 35#include <assert.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 45/* 46 * Test that a function returns the correct value and sets the 47 * exception flags correctly. The exceptmask specifies which 48 * exceptions we should check. We need to be lenient for several 49 * reasons, but mainly because on some architectures it's impossible 50 * to raise FE_OVERFLOW without raising FE_INEXACT. 51 * 52 * These are macros instead of functions so that assert provides more 53 * meaningful error messages. 54 */ 55#define test(func, x, y, z, result, exceptmask, excepts) do { \ 56 volatile long double _vx = (x), _vy = (y), _vz = (z); \ 57 assert(feclearexcept(FE_ALL_EXCEPT) == 0); \ 58 assert(fpequal((func)(_vx, _vy, _vz), (result))); \ 59 assert(((void)(func), fetestexcept(exceptmask) == (excepts))); \ 60} while (0) 61 62#define testall(x, y, z, result, exceptmask, excepts) do { \ 63 test(fma, (double)(x), (double)(y), (double)(z), \ 64 (double)(result), (exceptmask), (excepts)); \ 65 test(fmaf, (float)(x), (float)(y), (float)(z), \ 66 (float)(result), (exceptmask), (excepts)); \ 67 test(fmal, (x), (y), (z), (result), (exceptmask), (excepts)); \ 68} while (0) 69 70/* Test in all rounding modes. */ 71#define testrnd(func, x, y, z, rn, ru, rd, rz, exceptmask, excepts) do { \ 72 fesetround(FE_TONEAREST); \ 73 test((func), (x), (y), (z), (rn), (exceptmask), (excepts)); \ 74 fesetround(FE_UPWARD); \ 75 test((func), (x), (y), (z), (ru), (exceptmask), (excepts)); \ 76 fesetround(FE_DOWNWARD); \ 77 test((func), (x), (y), (z), (rd), (exceptmask), (excepts)); \ 78 fesetround(FE_TOWARDZERO); \ 79 test((func), (x), (y), (z), (rz), (exceptmask), (excepts)); \ 80} while (0) 81 82/* 83 * This is needed because clang constant-folds fma in ways that are incorrect 84 * in rounding modes other than FE_TONEAREST. 85 */ 86volatile double one = 1.0; 87 88static void 89test_zeroes(void) 90{ 91 const int rd = (fegetround() == FE_DOWNWARD); 92 93 testall(0.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); 94 testall(1.0, 0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); 95 testall(0.0, 1.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); 96 testall(0.0, 0.0, 1.0, 1.0, ALL_STD_EXCEPT, 0); 97 98 testall(-0.0, 0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); 99 testall(0.0, -0.0, 0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); 100 testall(-0.0, -0.0, 0.0, 0.0, ALL_STD_EXCEPT, 0); 101 testall(0.0, 0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); 102 testall(-0.0, -0.0, -0.0, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); 103 104 testall(-0.0, 0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); 105 testall(0.0, -0.0, -0.0, -0.0, ALL_STD_EXCEPT, 0); 106 107 testall(-one, one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); 108 testall(one, -one, one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); 109 testall(-one, -one, -one, rd ? -0.0 : 0.0, ALL_STD_EXCEPT, 0); 110 111 switch (fegetround()) { 112 case FE_TONEAREST: 113 case FE_TOWARDZERO: 114 test(fmaf, -FLT_MIN, FLT_MIN, 0.0, -0.0, 115 ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); 116 test(fma, -DBL_MIN, DBL_MIN, 0.0, -0.0, 117 ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); 118 test(fmal, -LDBL_MIN, LDBL_MIN, 0.0, -0.0, 119 ALL_STD_EXCEPT, FE_INEXACT | FE_UNDERFLOW); 120 } 121} 122 123static void 124test_infinities(void) 125{ 126 127 testall(INFINITY, 1.0, -1.0, INFINITY, ALL_STD_EXCEPT, 0); 128 testall(-1.0, INFINITY, 0.0, -INFINITY, ALL_STD_EXCEPT, 0); 129 testall(0.0, 0.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); 130 testall(1.0, 1.0, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); 131 testall(1.0, 1.0, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); 132 133 testall(INFINITY, -INFINITY, 1.0, -INFINITY, ALL_STD_EXCEPT, 0); 134 testall(INFINITY, INFINITY, 1.0, INFINITY, ALL_STD_EXCEPT, 0); 135 testall(-INFINITY, -INFINITY, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); 136 137 testall(0.0, INFINITY, 1.0, NAN, ALL_STD_EXCEPT, FE_INVALID); 138 testall(INFINITY, 0.0, -0.0, NAN, ALL_STD_EXCEPT, FE_INVALID); 139 140 /* The invalid exception is optional in this case. */ 141 testall(INFINITY, 0.0, NAN, NAN, ALL_STD_EXCEPT & ~FE_INVALID, 0); 142 143 testall(INFINITY, INFINITY, -INFINITY, NAN, 144 ALL_STD_EXCEPT, FE_INVALID); 145 testall(-INFINITY, INFINITY, INFINITY, NAN, 146 ALL_STD_EXCEPT, FE_INVALID); 147 testall(INFINITY, -1.0, INFINITY, NAN, 148 ALL_STD_EXCEPT, FE_INVALID); 149 150 test(fmaf, FLT_MAX, FLT_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); 151 test(fma, DBL_MAX, DBL_MAX, -INFINITY, -INFINITY, ALL_STD_EXCEPT, 0); 152 test(fmal, LDBL_MAX, LDBL_MAX, -INFINITY, -INFINITY, 153 ALL_STD_EXCEPT, 0); 154 test(fmaf, FLT_MAX, -FLT_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); 155 test(fma, DBL_MAX, -DBL_MAX, INFINITY, INFINITY, ALL_STD_EXCEPT, 0); 156 test(fmal, LDBL_MAX, -LDBL_MAX, INFINITY, INFINITY, 157 ALL_STD_EXCEPT, 0); 158} 159 160static void 161test_nans(void) 162{ 163 164 testall(NAN, 0.0, 0.0, NAN, ALL_STD_EXCEPT, 0); 165 testall(1.0, NAN, 1.0, NAN, ALL_STD_EXCEPT, 0); 166 testall(1.0, -1.0, NAN, NAN, ALL_STD_EXCEPT, 0); 167 testall(0.0, 0.0, NAN, NAN, ALL_STD_EXCEPT, 0); 168 testall(NAN, NAN, NAN, NAN, ALL_STD_EXCEPT, 0); 169 170 /* x*y should not raise an inexact/overflow/underflow if z is NaN. */ 171 testall(M_PI, M_PI, NAN, NAN, ALL_STD_EXCEPT, 0); 172 test(fmaf, FLT_MIN, FLT_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); 173 test(fma, DBL_MIN, DBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); 174 test(fmal, LDBL_MIN, LDBL_MIN, NAN, NAN, ALL_STD_EXCEPT, 0); 175 test(fmaf, FLT_MAX, FLT_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); 176 test(fma, DBL_MAX, DBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); 177 test(fmal, LDBL_MAX, LDBL_MAX, NAN, NAN, ALL_STD_EXCEPT, 0); 178} 179 180/* 181 * Tests for cases where z is very small compared to x*y. 182 */ 183static void 184test_small_z(void) 185{ 186 187 /* x*y positive, z positive */ 188 if (fegetround() == FE_UPWARD) { 189 test(fmaf, one, one, 0x1.0p-100, 1.0 + FLT_EPSILON, 190 ALL_STD_EXCEPT, FE_INEXACT); 191 test(fma, one, one, 0x1.0p-200, 1.0 + DBL_EPSILON, 192 ALL_STD_EXCEPT, FE_INEXACT); 193 test(fmal, one, one, 0x1.0p-200, 1.0 + LDBL_EPSILON, 194 ALL_STD_EXCEPT, FE_INEXACT); 195 } else { 196 testall(0x1.0p100, one, 0x1.0p-100, 0x1.0p100, 197 ALL_STD_EXCEPT, FE_INEXACT); 198 } 199 200 /* x*y negative, z negative */ 201 if (fegetround() == FE_DOWNWARD) { 202 test(fmaf, -one, one, -0x1.0p-100, -(1.0 + FLT_EPSILON), 203 ALL_STD_EXCEPT, FE_INEXACT); 204 test(fma, -one, one, -0x1.0p-200, -(1.0 + DBL_EPSILON), 205 ALL_STD_EXCEPT, FE_INEXACT); 206 test(fmal, -one, one, -0x1.0p-200, -(1.0 + LDBL_EPSILON), 207 ALL_STD_EXCEPT, FE_INEXACT); 208 } else { 209 testall(0x1.0p100, -one, -0x1.0p-100, -0x1.0p100, 210 ALL_STD_EXCEPT, FE_INEXACT); 211 } 212 213 /* x*y positive, z negative */ 214 if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { 215 test(fmaf, one, one, -0x1.0p-100, 1.0 - FLT_EPSILON / 2, 216 ALL_STD_EXCEPT, FE_INEXACT); 217 test(fma, one, one, -0x1.0p-200, 1.0 - DBL_EPSILON / 2, 218 ALL_STD_EXCEPT, FE_INEXACT); 219 test(fmal, one, one, -0x1.0p-200, 1.0 - LDBL_EPSILON / 2, 220 ALL_STD_EXCEPT, FE_INEXACT); 221 } else { 222 testall(0x1.0p100, one, -0x1.0p-100, 0x1.0p100, 223 ALL_STD_EXCEPT, FE_INEXACT); 224 } 225 226 /* x*y negative, z positive */ 227 if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { 228 test(fmaf, -one, one, 0x1.0p-100, -1.0 + FLT_EPSILON / 2, 229 ALL_STD_EXCEPT, FE_INEXACT); 230 test(fma, -one, one, 0x1.0p-200, -1.0 + DBL_EPSILON / 2, 231 ALL_STD_EXCEPT, FE_INEXACT); 232 test(fmal, -one, one, 0x1.0p-200, -1.0 + LDBL_EPSILON / 2, 233 ALL_STD_EXCEPT, FE_INEXACT); 234 } else { 235 testall(-0x1.0p100, one, 0x1.0p-100, -0x1.0p100, 236 ALL_STD_EXCEPT, FE_INEXACT); 237 } 238} 239 240/* 241 * Tests for cases where z is very large compared to x*y. 242 */ 243static void 244test_big_z(void) 245{ 246 247 /* z positive, x*y positive */ 248 if (fegetround() == FE_UPWARD) { 249 test(fmaf, 0x1.0p-50, 0x1.0p-50, 1.0, 1.0 + FLT_EPSILON, 250 ALL_STD_EXCEPT, FE_INEXACT); 251 test(fma, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + DBL_EPSILON, 252 ALL_STD_EXCEPT, FE_INEXACT); 253 test(fmal, 0x1.0p-100, 0x1.0p-100, 1.0, 1.0 + LDBL_EPSILON, 254 ALL_STD_EXCEPT, FE_INEXACT); 255 } else { 256 testall(-0x1.0p-50, -0x1.0p-50, 0x1.0p100, 0x1.0p100, 257 ALL_STD_EXCEPT, FE_INEXACT); 258 } 259 260 /* z negative, x*y negative */ 261 if (fegetround() == FE_DOWNWARD) { 262 test(fmaf, -0x1.0p-50, 0x1.0p-50, -1.0, -(1.0 + FLT_EPSILON), 263 ALL_STD_EXCEPT, FE_INEXACT); 264 test(fma, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + DBL_EPSILON), 265 ALL_STD_EXCEPT, FE_INEXACT); 266 test(fmal, -0x1.0p-100, 0x1.0p-100, -1.0, -(1.0 + LDBL_EPSILON), 267 ALL_STD_EXCEPT, FE_INEXACT); 268 } else { 269 testall(0x1.0p-50, -0x1.0p-50, -0x1.0p100, -0x1.0p100, 270 ALL_STD_EXCEPT, FE_INEXACT); 271 } 272 273 /* z negative, x*y positive */ 274 if (fegetround() == FE_UPWARD || fegetround() == FE_TOWARDZERO) { 275 test(fmaf, -0x1.0p-50, -0x1.0p-50, -1.0, 276 -1.0 + FLT_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); 277 test(fma, -0x1.0p-100, -0x1.0p-100, -1.0, 278 -1.0 + DBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); 279 test(fmal, -0x1.0p-100, -0x1.0p-100, -1.0, 280 -1.0 + LDBL_EPSILON / 2, ALL_STD_EXCEPT, FE_INEXACT); 281 } else { 282 testall(0x1.0p-50, 0x1.0p-50, -0x1.0p100, -0x1.0p100, 283 ALL_STD_EXCEPT, FE_INEXACT); 284 } 285 286 /* z positive, x*y negative */ 287 if (fegetround() == FE_DOWNWARD || fegetround() == FE_TOWARDZERO) { 288 test(fmaf, 0x1.0p-50, -0x1.0p-50, 1.0, 1.0 - FLT_EPSILON / 2, 289 ALL_STD_EXCEPT, FE_INEXACT); 290 test(fma, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - DBL_EPSILON / 2, 291 ALL_STD_EXCEPT, FE_INEXACT); 292 test(fmal, 0x1.0p-100, -0x1.0p-100, 1.0, 1.0 - LDBL_EPSILON / 2, 293 ALL_STD_EXCEPT, FE_INEXACT); 294 } else { 295 testall(-0x1.0p-50, 0x1.0p-50, 0x1.0p100, 0x1.0p100, 296 ALL_STD_EXCEPT, FE_INEXACT); 297 } 298} 299 300static void 301test_accuracy(void) 302{ 303 304 /* ilogb(x*y) - ilogb(z) = 20 */ 305 testrnd(fmaf, -0x1.c139d8p-51, -0x1.600e7ap32, 0x1.26558cp-38, 306 0x1.34e48ap-18, 0x1.34e48cp-18, 0x1.34e48ap-18, 0x1.34e48ap-18, 307 ALL_STD_EXCEPT, FE_INEXACT); 308 testrnd(fma, -0x1.c139d7b84f1a3p-51, -0x1.600e7a2a16484p32, 309 0x1.26558cac31580p-38, 0x1.34e48a78aae97p-18, 310 0x1.34e48a78aae97p-18, 0x1.34e48a78aae96p-18, 311 0x1.34e48a78aae96p-18, ALL_STD_EXCEPT, FE_INEXACT); 312#if LDBL_MANT_DIG == 113 313 testrnd(fmal, -0x1.c139d7b84f1a3079263afcc5bae3p-51L, 314 -0x1.600e7a2a164840edbe2e7d301a72p32L, 315 0x1.26558cac315807eb07e448042101p-38L, 316 0x1.34e48a78aae96c76ed36077dd387p-18L, 317 0x1.34e48a78aae96c76ed36077dd388p-18L, 318 0x1.34e48a78aae96c76ed36077dd387p-18L, 319 0x1.34e48a78aae96c76ed36077dd387p-18L, 320 ALL_STD_EXCEPT, FE_INEXACT); 321#elif LDBL_MANT_DIG == 64 322 testrnd(fmal, -0x1.c139d7b84f1a307ap-51L, -0x1.600e7a2a164840eep32L, 323 0x1.26558cac315807ecp-38L, 0x1.34e48a78aae96c78p-18L, 324 0x1.34e48a78aae96c78p-18L, 0x1.34e48a78aae96c76p-18L, 325 0x1.34e48a78aae96c76p-18L, ALL_STD_EXCEPT, FE_INEXACT); 326#elif LDBL_MANT_DIG == 53 327 testrnd(fmal, -0x1.c139d7b84f1a3p-51L, -0x1.600e7a2a16484p32L, 328 0x1.26558cac31580p-38L, 0x1.34e48a78aae97p-18L, 329 0x1.34e48a78aae97p-18L, 0x1.34e48a78aae96p-18L, 330 0x1.34e48a78aae96p-18L, ALL_STD_EXCEPT, FE_INEXACT); 331#endif 332 333 /* ilogb(x*y) - ilogb(z) = -40 */ 334 testrnd(fmaf, 0x1.98210ap53, 0x1.9556acp-24, 0x1.d87da4p70, 335 0x1.d87da4p70, 0x1.d87da6p70, 0x1.d87da4p70, 0x1.d87da4p70, 336 ALL_STD_EXCEPT, FE_INEXACT); 337 testrnd(fma, 0x1.98210ac83fe2bp53, 0x1.9556ac1475f0fp-24, 338 0x1.d87da3aafc60ep70, 0x1.d87da3aafda40p70, 339 0x1.d87da3aafda40p70, 0x1.d87da3aafda3fp70, 340 0x1.d87da3aafda3fp70, ALL_STD_EXCEPT, FE_INEXACT); 341#if LDBL_MANT_DIG == 113 342 testrnd(fmal, 0x1.98210ac83fe2a8f65b6278b74cebp53L, 343 0x1.9556ac1475f0f28968b61d0de65ap-24L, 344 0x1.d87da3aafc60d830aa4c6d73b749p70L, 345 0x1.d87da3aafda3f36a69eb86488224p70L, 346 0x1.d87da3aafda3f36a69eb86488225p70L, 347 0x1.d87da3aafda3f36a69eb86488224p70L, 348 0x1.d87da3aafda3f36a69eb86488224p70L, 349 ALL_STD_EXCEPT, FE_INEXACT); 350#elif LDBL_MANT_DIG == 64 351 testrnd(fmal, 0x1.98210ac83fe2a8f6p53L, 0x1.9556ac1475f0f28ap-24L, 352 0x1.d87da3aafc60d83p70L, 0x1.d87da3aafda3f36ap70L, 353 0x1.d87da3aafda3f36ap70L, 0x1.d87da3aafda3f368p70L, 354 0x1.d87da3aafda3f368p70L, ALL_STD_EXCEPT, FE_INEXACT); 355#elif LDBL_MANT_DIG == 53 356 testrnd(fmal, 0x1.98210ac83fe2bp53L, 0x1.9556ac1475f0fp-24L, 357 0x1.d87da3aafc60ep70L, 0x1.d87da3aafda40p70L, 358 0x1.d87da3aafda40p70L, 0x1.d87da3aafda3fp70L, 359 0x1.d87da3aafda3fp70L, ALL_STD_EXCEPT, FE_INEXACT); 360#endif 361 362 /* ilogb(x*y) - ilogb(z) = 0 */ 363 testrnd(fmaf, 0x1.31ad02p+100, 0x1.2fbf7ap-42, -0x1.c3e106p+58, 364 -0x1.64c27cp+56, -0x1.64c27ap+56, -0x1.64c27cp+56, 365 -0x1.64c27ap+56, ALL_STD_EXCEPT, FE_INEXACT); 366 testrnd(fma, 0x1.31ad012ede8aap+100, 0x1.2fbf79c839067p-42, 367 -0x1.c3e106929056ep+58, -0x1.64c282b970a5fp+56, 368 -0x1.64c282b970a5ep+56, -0x1.64c282b970a5fp+56, 369 -0x1.64c282b970a5ep+56, ALL_STD_EXCEPT, FE_INEXACT); 370#if LDBL_MANT_DIG == 113 371 testrnd(fmal, 0x1.31ad012ede8aa282fa1c19376d16p+100L, 372 0x1.2fbf79c839066f0f5c68f6d2e814p-42L, 373 -0x1.c3e106929056ec19de72bfe64215p+58L, 374 -0x1.64c282b970a612598fc025ca8cddp+56L, 375 -0x1.64c282b970a612598fc025ca8cddp+56L, 376 -0x1.64c282b970a612598fc025ca8cdep+56L, 377 -0x1.64c282b970a612598fc025ca8cddp+56L, 378 ALL_STD_EXCEPT, FE_INEXACT); 379#elif LDBL_MANT_DIG == 64 380 testrnd(fmal, 0x1.31ad012ede8aa4eap+100L, 0x1.2fbf79c839066aeap-42L, 381 -0x1.c3e106929056e61p+58L, -0x1.64c282b970a60298p+56L, 382 -0x1.64c282b970a60298p+56L, -0x1.64c282b970a6029ap+56L, 383 -0x1.64c282b970a60298p+56L, ALL_STD_EXCEPT, FE_INEXACT); 384#elif LDBL_MANT_DIG == 53 385 testrnd(fmal, 0x1.31ad012ede8aap+100L, 0x1.2fbf79c839067p-42L, 386 -0x1.c3e106929056ep+58L, -0x1.64c282b970a5fp+56L, 387 -0x1.64c282b970a5ep+56L, -0x1.64c282b970a5fp+56L, 388 -0x1.64c282b970a5ep+56L, ALL_STD_EXCEPT, FE_INEXACT); 389#endif 390 391 /* x*y (rounded) ~= -z */ 392 /* XXX spurious inexact exceptions */ 393 testrnd(fmaf, 0x1.bbffeep-30, -0x1.1d164cp-74, 0x1.ee7296p-104, 394 -0x1.c46ea8p-128, -0x1.c46ea8p-128, -0x1.c46ea8p-128, 395 -0x1.c46ea8p-128, ALL_STD_EXCEPT & ~FE_INEXACT, 0); 396 testrnd(fma, 0x1.bbffeea6fc7d6p-30, 0x1.1d164c6cbf078p-74, 397 -0x1.ee72993aff948p-104, -0x1.71f72ac7d9d8p-159, 398 -0x1.71f72ac7d9d8p-159, -0x1.71f72ac7d9d8p-159, 399 -0x1.71f72ac7d9d8p-159, ALL_STD_EXCEPT & ~FE_INEXACT, 0); 400#if LDBL_MANT_DIG == 113 401 testrnd(fmal, 0x1.bbffeea6fc7d65927d147f437675p-30L, 402 0x1.1d164c6cbf078b7a22607d1cd6a2p-74L, 403 -0x1.ee72993aff94973876031bec0944p-104L, 404 0x1.64e086175b3a2adc36e607058814p-217L, 405 0x1.64e086175b3a2adc36e607058814p-217L, 406 0x1.64e086175b3a2adc36e607058814p-217L, 407 0x1.64e086175b3a2adc36e607058814p-217L, 408 ALL_STD_EXCEPT & ~FE_INEXACT, 0); 409#elif LDBL_MANT_DIG == 64 410 testrnd(fmal, 0x1.bbffeea6fc7d6592p-30L, 0x1.1d164c6cbf078b7ap-74L, 411 -0x1.ee72993aff949736p-104L, 0x1.af190e7a1ee6ad94p-168L, 412 0x1.af190e7a1ee6ad94p-168L, 0x1.af190e7a1ee6ad94p-168L, 413 0x1.af190e7a1ee6ad94p-168L, ALL_STD_EXCEPT & ~FE_INEXACT, 0); 414#elif LDBL_MANT_DIG == 53 415 testrnd(fmal, 0x1.bbffeea6fc7d6p-30L, 0x1.1d164c6cbf078p-74L, 416 -0x1.ee72993aff948p-104L, -0x1.71f72ac7d9d8p-159L, 417 -0x1.71f72ac7d9d8p-159L, -0x1.71f72ac7d9d8p-159L, 418 -0x1.71f72ac7d9d8p-159L, ALL_STD_EXCEPT & ~FE_INEXACT, 0); 419#endif 420} 421 422static void 423test_double_rounding(void) 424{ 425 426 /* 427 * a = 0x1.8000000000001p0 428 * b = 0x1.8000000000001p0 429 * c = -0x0.0000000000000000000000000080...1p+1 430 * a * b = 0x1.2000000000001800000000000080p+1 431 * 432 * The correct behavior is to round DOWN to 0x1.2000000000001p+1 in 433 * round-to-nearest mode. An implementation that computes a*b+c in 434 * double+double precision, however, will get 0x1.20000000000018p+1, 435 * and then round UP. 436 */ 437 fesetround(FE_TONEAREST); 438 test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0, 439 -0x1.0000000000001p-104, 0x1.2000000000001p+1, 440 ALL_STD_EXCEPT, FE_INEXACT); 441 fesetround(FE_DOWNWARD); 442 test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0, 443 -0x1.0000000000001p-104, 0x1.2000000000001p+1, 444 ALL_STD_EXCEPT, FE_INEXACT); 445 fesetround(FE_UPWARD); 446 test(fma, 0x1.8000000000001p0, 0x1.8000000000001p0, 447 -0x1.0000000000001p-104, 0x1.2000000000002p+1, 448 ALL_STD_EXCEPT, FE_INEXACT); 449 450 fesetround(FE_TONEAREST); 451 test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1, 452 ALL_STD_EXCEPT, FE_INEXACT); 453 fesetround(FE_DOWNWARD); 454 test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200002p+1, 455 ALL_STD_EXCEPT, FE_INEXACT); 456 fesetround(FE_UPWARD); 457 test(fmaf, 0x1.800002p+0, 0x1.800002p+0, -0x1.000002p-46, 0x1.200004p+1, 458 ALL_STD_EXCEPT, FE_INEXACT); 459 460 fesetround(FE_TONEAREST); 461#if LDBL_MANT_DIG == 64 462 test(fmal, 0x1.4p+0L, 0x1.0000000000000004p+0L, 0x1p-128L, 463 0x1.4000000000000006p+0L, ALL_STD_EXCEPT, FE_INEXACT); 464#elif LDBL_MANT_DIG == 113 465 test(fmal, 0x1.8000000000000000000000000001p+0L, 466 0x1.8000000000000000000000000001p+0L, 467 -0x1.0000000000000000000000000001p-224L, 468 0x1.2000000000000000000000000001p+1L, ALL_STD_EXCEPT, FE_INEXACT); 469#endif 470 471} 472 473int 474main(int argc, char *argv[]) 475{ 476 int rmodes[] = { FE_TONEAREST, FE_UPWARD, FE_DOWNWARD, FE_TOWARDZERO }; 477 int i, j; 478 479 printf("1..19\n"); 480 481 for (i = 0; i < nitems(rmodes); i++, j++) { 482 printf("rmode = %d\n", rmodes[i]); 483 fesetround(rmodes[i]); 484 test_zeroes(); 485 printf("ok %d - fma zeroes\n", i + 1); 486 } 487 488 for (i = 0; i < nitems(rmodes); i++, j++) { 489 printf("rmode = %d\n", rmodes[i]); 490 fesetround(rmodes[i]); 491 test_infinities(); 492 printf("ok %d - fma infinities\n", j); 493 } 494 495 fesetround(FE_TONEAREST); 496 test_nans(); 497 printf("ok 9 - fma NaNs\n"); 498 499 for (i = 0; i < nitems(rmodes); i++, j++) { 500 printf("rmode = %d\n", rmodes[i]); 501 fesetround(rmodes[i]); 502 test_small_z(); 503 printf("ok %d - fma small z\n", j); 504 } 505 506 for (i = 0; i < nitems(rmodes); i++, j++) { 507 printf("rmode = %d\n", rmodes[i]); 508 fesetround(rmodes[i]); 509 test_big_z(); 510 printf("ok %d - fma big z\n", j); 511 } 512 513 fesetround(FE_TONEAREST); 514 test_accuracy(); 515 printf("ok %d - fma accuracy\n", j); 516 j++; 517 518 test_double_rounding(); 519 printf("ok %d - fma double rounding\n", j); 520 j++; 521 522 /* 523 * TODO: 524 * - Tests for subnormals 525 * - Cancellation tests (e.g., z = (double)x*y, but x*y is inexact) 526 */ 527 528 return (0); 529} 530